{"data":[{"name":"Protein-protein interaction","means":[[31.968179164528166,28.680743248060885,27.283416336991646,22.249669965929208,18.23853788653575,22.49249445712203,20.445189655249823,23.485357641721087,24.80179299095335,22.72795916505339,26.064217456806734,28.349747271564574,23.48354411934753,23.78674032339975,27.109242000804958,26.20263380711377,21.946329183037317,24.318610071138117,23.652028737705173,23.817611967204325,25.689131617031016,26.857247633336364,27.504285212737013,25.198490442091206,22.395151609482262,20.942934453945927,18.882958681526887,18.34574623705558,21.946965246622565,23.9959564333111,29.679447431688924,29.21669688833169,33.776049410353146,35.13070546911077,31.1017831549152,27.668369228551658,26.66044913040215,23.18989022622989,20.281524656576025,23.407009572691862,18.931632828499033,22.618096892947722,25.678846306633453,23.07480654688066,22.169666061429783,19.52419816184056,22.1288239802748,24.276434912109444,20.87008840819808,23.7059415560074,26.65282898109543,25.734908124755737,29.065465138114057,25.48015503634317,31.581322287914684,33.03217808737254,30.190558999235236,32.377569985058166,36.39077770354882,35.197892959600814,32.5448846606116,35.67763063504703,35.7465351709126,36.404235285478535,32.634269023622835,30.220006406188844,29.551090079559767,28.8464358284809,27.759521644829945,28.69001205615068,27.96642159204049,31.416656928794044,32.51445159585546,32.841444830602825,32.46923746411145,37.62767939128759,33.97751341489917,37.73558794986097,34.90885386694807,33.519794801390226,31.916898414089022,29.0746448092908,28.7212382205725,26.63634502543134,22.62811456316096,24.421371507904265,26.32401744276636,29.71323788106534,29.613554764390877,35.19199270918136,34.06667554011522,38.25182937601042,36.63559736041056,36.01061513450285,32.34507983354263,35.023036359514336,31.762091476158332,32.424026927275,30.85916189355478,33.939746866138194,30.710582250186473,29.916416974803543,27.604387329621428,25.925119653551015,24.60917714703577,21.509101834359996,24.050819312552356,21.362262778291708,20.1028992629705,22.106508567030534,20.045025547024842,17.352518058576663,18.33851775867927,14.655959828552387,16.978229916913197,14.085957224725455,16.04802130136989,13.80084196767018,19.263322805475706,20.821404392656994,19.802447809449163,19.304218940863343,15.70695810612528,15.763503745458053,16.994465176495154,12.674291106831024,16.684807247500302,14.198873121223091,15.192685147487577,16.64853244082155,14.47413610458601,18.249456487712855,15.799761568671183,18.49370487114713,12.67997443597089,10.97931284232109,8.769830792646411,6.306054161029149,6.667222566637301,8.107141909277592,7.596916434898771,11.507468530604278,13.640315693798083,12.03564349471217,14.556470688201857,17.227703969536307,15.081074826965446,17.848679495419518,18.520234474881498,20.823752649936914,23.448168882214627,26.92206871554906,30.742142018508698,34.64467628849036,33.808690053825494,31.064887660918348,27.386578555606743,25.946182762016296,24.101259493476878,21.016213220746028,16.043971236978184,18.321299180681645,12.722920019995987,16.666178522490533,13.372076972703942,8.789573422417304,10.794731037796438,11.186067147705192,9.471122125635869,5.880107543648813,7.900972631428735,7.957783185658947,12.848529203795614,16.295861414873432,19.482984028592288,22.894202945598252,23.597687424927734,27.664564338289114,24.094467176997533,24.642244849117414,20.142789213835254,19.378988301966405,19.979721803909225,20.29377431020553,17.13287216978251,19.552871843379712,19.41814613822173,21.401913375193462,17.81021108799206,19.075481095260997,18.419698933030926,17.21927533823454,16.48019879980813,15.32013072648112,16.354044256062156,17.36232557032921,14.339296490068957,17.93370529387826,18.920451436083056,19.699967542659593,24.174934618236986,25.30728081095439,22.36476394244268,23.893377449816438,27.9807426377239,27.274686392469246,24.916292734637327,28.89820378203496,32.3002183083976,29.908753123097544,31.10479019074191,34.60949014342442,34.33335878428926,33.104668950449074,36.08552830191614,33.594576180874924,37.83415777076339,33.824575403347346,32.8664604088065,36.531247339839126,37.74888095237797,42.828186031659854,41.302142816525446,40.34484371143402,37.12039685737288,37.71396594195084,34.27214544013463,35.800749936261056,36.12263992552134,30.517155315623242,30.326926720939454,32.30520039286272,29.693333787524544,26.302043452954948,26.661092180924378,27.607470155509358,25.127759606211292,20.464862001821682,22.353834081912144,22.732055025325845,26.371548200441026,29.359636069734364,30.754216369614564,35.2942358691086,32.08112427933367,28.697915824887808,33.750081050992655,34.641446040065595,30.25908445409068,31.487863004365597,35.775275902974734,35.5463051375896,33.378386392471214,37.35292355516795,39.663301618502295,37.65463908777387,37.942068025274,40.69568778674919,38.04567841481939,38.196197180597444,34.91040168469325,36.692464046684684,37.99818345276218,32.8165931769359,32.30402152687632,34.63402707603218,33.17425652091998,28.58906691836594,32.523923820709506,33.72062989476483,29.085055337462542,27.018762498712224,31.714372680396217,32.306311576486806,29.071202263807887,27.202304196403606,30.507784913053598,29.145419845081527,32.309566351296446,28.718121668296035,27.591084404520128,27.015380433418542,25.925024678210665,23.639159192965426,23.797207110966188,21.00165353796694,22.271626054667784,19.12520064678498,17.905157978526706,16.17144306849742,22.026449267455796,23.761771245687598,27.598675810850537,26.225860180492298,23.246690955273113,26.98982598708621,29.461295987549157,25.01565339032863,29.02138186593655,32.185625271852565,33.01264512763235,33.3474788368096,35.53456367262075,37.24412164584015],[29.010796709024973,25.724720534902893,24.37818713086328,19.257200289162032,15.383909666146655,19.716187487538644,17.914214175603387,21.23758283405183,22.57257025446099,20.848741054904277,24.35585466126334,26.68310075709853,22.15368541177865,22.359971722429272,26.06722274262961,25.358117197948356,21.28889694250071,24.163189376734792,23.99996943947016,24.453858302189765,26.66839541587393,28.219326437792247,28.96764126147103,26.8498650220256,23.92151144160892,22.004132368912256,19.77541915024473,18.58834525096771,21.908878110233264,23.59343804650302,29.292934374021417,28.6509568923574,33.232819257475484,34.97604334068844,31.050730569353142,27.796137902668214,26.62525116030267,23.74947271517457,21.121098562994675,24.702823222141838,20.4443667302857,23.916561776779176,27.251739656001103,24.972667920349807,24.284810561318167,21.807212547117913,24.630290486593836,26.574272943833098,23.051705607376455,26.187495807109332,28.92879869971738,27.78031863786567,30.971115516625126,27.164615054608234,33.192118093239614,34.82110343238517,31.865688388662583,33.77577556917972,37.9225113623019,37.00149055575008,34.08173982237423,36.9233047402709,36.69024023765474,37.591108593628505,33.961330786116896,31.25889438706963,30.319069285825588,29.213912381907296,27.934521902833108,28.41509718564329,27.688042226800352,31.15255255632694,32.34431113198703,33.109696607979274,32.58973006026621,38.01651766715516,34.57319156232574,38.21785870117557,35.54692852131004,34.447962101325906,32.64073788530395,30.066222699730297,29.226579765105775,27.47578558505911,23.576148378897603,24.990828063615048,27.120526746178925,30.11499127770556,30.135592005311402,35.44885269428553,34.197086876263356,38.35192740902604,36.431420660054236,35.55621461153126,31.645474602231033,34.135128953781,30.648312218745136,31.434518921770856,29.622134065270316,32.5179499078386,29.7793496588131,28.765395143269558,26.976316071127354,24.9950315495264,24.160947183964808,20.57822378632868,23.141163297674698,20.497514452736294,18.670881461495306,20.641650414747396,18.075926169432787,15.703715987086396,16.35202387812678,12.935727610867813,15.579222589040466,12.858112179377969,15.549348143654433,13.788257408926183,19.60679927620328,20.595056208628986,19.228541280400723,18.2338257260004,14.37539970489486,13.95185550294236,14.758594661713884,10.35429616667428,14.191592642740039,12.163040423564206,13.508774366086891,15.791636121272116,13.447158920524979,17.69155237315673,15.887298990643473,18.463717326267513,12.650374756017412,10.326259731898404,7.41471129002002,4.680858955307068,5.138886349433146,7.9371587513697595,8.681066517137701,13.207658605865829,14.64414608622448,12.569364563047328,15.391314284154678,17.34199336298606,14.757677378777986,17.010804185562396,17.37138021629171,19.159441005415424,21.68388377401316,24.980955573021838,28.904891605890846,32.56801220629079,32.01182474714164,29.50567923249276,25.94009787904083,24.55851895203926,23.08210946227369,19.99811975485764,15.541130833719919,18.3541488957658,13.211989742960398,17.54110039228385,14.78419981080808,10.78993436875707,12.499324680626424,13.38315387301084,11.027545511727357,7.417378309395937,8.72695497174791,8.563254429710982,13.520714080456823,16.724568923703035,19.725972607338498,22.8038126899517,23.34595805830774,27.639521677721618,24.51702126918699,24.996482435621996,20.915361865298507,19.312911533465208,20.5592546776547,21.31489073549456,18.23841254639999,21.112299011465513,20.995103291836,23.437417849196187,20.21654708961882,21.3284670854137,20.651645129489655,19.07644938513618,18.07702685122373,16.424207384369048,17.071328461912113,17.69370163170653,14.06938114890895,17.319291698141345,17.65972650047023,18.230339467433755,22.73351303125165,23.701174597638328,20.455485608521986,21.910945187699742,26.101365811111382,25.112413166214466,22.485622483082533,26.640860252528583,30.11182541332446,27.3741883120412,28.53037499309016,32.1264540103413,31.759228518909556,30.358649033355757,33.41191243158344,30.97047711526223,35.35392994674881,31.458136894642827,30.596343698168575,34.34642277144852,35.86797127550014,40.91868807031937,39.653045674793574,38.8239543239371,35.75560308198762,36.59424412654937,33.23039020006217,35.06016433779913,35.16899333108076,29.345472918902406,29.54414536125681,31.697766903193283,28.771967492174458,25.451563185091587,26.28700063120447,27.013750563038542,24.15303012356241,19.93059274913187,21.14487506621611,21.969596969897545,25.677077380611944,28.280852497067553,29.858722094014134,34.26634789546603,31.09501445196813,27.513651865408313,32.335396633302075,33.24496000455748,28.686875046343793,29.704428750199224,33.94948448893986,33.591057308467626,31.24763151885643,35.3371649111984,37.567283005149115,35.340723808209894,35.647017010458754,38.534678322574486,35.926631466274834,36.32422046504552,33.19739237466894,35.16460046428639,36.18598485429854,30.844847879235992,30.711572801362372,32.968461778491765,31.27624664770681,26.849099879312103,31.11772109240362,32.04209200908309,27.188166749928435,25.53379521243023,30.37919624536871,30.6756779651239,27.248893054310788,25.021649920164144,28.49637194064419,26.834168146438454,29.92402165147792,26.092001066430566,25.03127568457682,24.253921446148556,23.094567338317596,20.954416244852716,21.32169838018165,18.668623485034367,20.152606977803224,16.70770497976518,15.940438592176957,13.838771296648318,19.394003623716955,21.46341401887321,25.23796013854964,23.983037828886456,20.74823445429044,24.320368970154565,26.87425900868579,22.456948218518903,26.200255619962647,29.474466001725204,30.436757468535244,30.915460778533316,33.14576460184401,34.88679259764138],[24.93427919696929,21.703224213648028,20.837294881516705,15.188591776021848,12.646635508182491,16.857266621426323,15.866842784112135,19.93114157899304,20.810436357103356,19.675086320336884,23.320715939594983,25.99111868657974,22.20085999789299,21.70096414607152,26.09448895777871,25.995428191520418,22.202448761612875,25.58460894567981,25.77956604703178,26.98847800880101,29.373779153999436,31.560810120541493,32.13386690299673,30.114936166814747,27.325347428290662,24.75732723429367,22.75648586784217,20.84581748269726,23.874806298497727,25.249349098790102,30.47879234605805,29.99483595588408,34.46433864712562,36.696198635336984,33.08783862087469,29.997756116736525,28.956922665387037,26.757466690244737,24.588249690760005,28.85608392575142,24.56381280463817,27.499198758525694,31.199205431396816,29.207626707591402,28.510761032039802,26.283662301067785,29.184179885896484,31.10546164416819,27.767981876832295,31.133322918484847,33.8354392701155,32.59284070311928,35.60817839303735,31.60952350335873,37.603863494593114,39.241229554832515,36.06370954995518,37.74813878437384,41.99847596479305,41.21672385463595,37.87430290559448,40.29201486350144,39.65933108062032,40.61680906613709,37.23723887008502,34.327972363666056,32.66816497802033,31.174856478407204,29.2628606665268,29.1733702210404,28.173698531930924,31.397390410672962,33.051268630587906,34.47220654004874,34.10470043601697,39.93454906209229,37.02124376108739,40.62037158131827,38.340509021155704,37.72925672489094,35.92615207580166,33.83833382408246,32.58214802082347,31.369964047437094,27.565949494911315,28.373261388597747,30.465413380805057,33.01639907905022,32.836286576230556,37.76918994616161,36.10336091726972,40.00049579389225,37.667111866164696,36.561102592952174,32.2997206020198,34.3046765167924,30.450945423590362,31.863389177580395,29.807167830657402,32.55424042893855,30.795551345862012,29.71853168192643,28.815912014151333,26.629146569483847,26.739113269749527,22.542731382124252,25.07518398948336,22.590425121593196,19.816321832132815,21.66198940319738,18.106441390946873,16.54784275090905,16.09110741704164,13.38350009401606,15.804735097918684,13.247221546720892,16.715581407076886,15.303648148511492,21.20483416649278,21.67826164884199,19.54940907469243,18.002989521837947,13.602754422364832,12.820064597480904,13.132754938935589,9.752160651270277,12.986436834777912,12.625317116278929,14.621979113297291,18.190674976291398,15.602910218637698,20.24241353651326,19.41921996331901,21.861245992364925,16.35673202435974,13.530250840016858,10.024584030212669,7.867127489896307,7.097891625648392,11.189622093275101,11.947915074568174,16.8754404772538,17.72153284779224,15.609631946169973,18.87286421208598,19.961891064891052,16.968255747685998,18.55312325015107,18.68739138192439,19.2763760643199,21.74438584046555,24.313786574099268,28.516824919819534,31.423828531545414,31.361218070338833,29.50401917982812,26.165500060020538,25.203156134099164,24.253092573043826,21.631498932765123,18.169556648154416,21.259928231105405,16.85607440628097,21.497613181388,19.482905865417752,15.785463851074796,17.546846110264305,18.443651792392593,15.740464195684233,12.418913955165126,13.439113115919147,13.066343106680764,17.781960554835795,20.56063755701312,23.15189432367186,25.744927482887064,25.809226379075465,30.48427599725194,28.001509557426957,28.51903798588745,25.02745424202007,22.58998572774258,24.592993429084835,25.752962920405704,22.810359675747712,25.90124188362608,25.607144583602086,28.426042749188664,25.276129700157547,26.493652400973303,25.784889870157794,24.11418623800911,22.871643929489853,20.850354162893215,21.010470706898555,20.96957405532804,16.778702671168922,19.414892372060574,18.539954084070985,19.06985035837227,23.21535727473834,24.058053980979558,20.32382193668071,21.204024114599584,25.56927222826612,24.12146910875128,20.588401065581063,25.028264521534513,28.841290021498168,25.23823845073142,26.056626167902774,29.89352853912649,29.441887303101673,27.367418787236986,30.446566030817586,28.051285520346337,32.83862939609722,28.83868182736962,28.518036200374848,32.49780035233095,34.570859703089305,39.47592885842468,38.75966781975346,38.434178852265454,35.767929280941885,37.14495692874197,34.134647943635144,36.308895054779455,35.85970834275791,29.838777518141704,30.81086468959497,32.92497766843456,29.397395382930824,26.459481688319435,28.002997264240044,27.952422743720852,24.53349954482117,21.510267988356905,21.736047676630132,23.73240066861357,27.377373220838535,29.331907819522865,31.361455568745665,35.4878025448678,32.5548726579636,28.622060974709793,32.851777884359315,33.90161045001542,29.105467044105627,29.534736407774776,33.647321535435026,33.05002243743918,30.26285382501334,34.47593496923837,36.54837386829221,33.81684338913007,34.032605009667094,37.17408617488395,34.61557017158163,35.591572599305294,32.92253546302501,35.09527006558036,35.39711469469356,29.84161189081569,30.481249943633333,32.31351237987207,30.126420458626683,26.15214894112553,30.808619307435393,30.941255812653843,25.756245378217024,24.985612138078956,29.796792960607046,29.307067002618826,25.543809980592577,22.66339670339747,26.012863886029006,23.643705510955513,26.88550673016114,22.66207775147215,22.243935682779988,21.184304552843198,19.353430650782567,17.666170617197594,18.1521664100147,16.161770812934087,18.597031640610666,15.087402524717234,15.765406493658547,13.215144460019392,17.3098494455412,20.395438831891564,23.84217698636796,22.98790660498234,19.135248582246128,21.928373183118726,24.67932427639476,20.416383754434698,23.068084176132263,26.709764830289068,28.04010781729369,28.944537081962036,31.235658484135072,32.97639263675645],[22.99749737240435,19.751940191462502,18.384470608352025,13.265201071935897,9.095273321857338,13.171272115078859,11.648212274161066,15.269091019309412,16.890120643212637,16.131523323271875,19.878057144430844,21.94457628458147,18.34519400181562,18.774369727708567,22.944041264160518,22.490380816471877,19.23463811410856,23.078219021397267,24.285579313355598,24.99429910665599,28.00909689957574,30.16278134809063,31.33283332632795,29.849568691971097,26.54057353805658,23.88716934137488,21.152269642717755,18.687570919732885,20.980294636856375,21.5864803658284,27.280314021319388,26.001021739739663,30.50953019341814,33.07012713047373,29.424416941373295,26.782326327131557,25.1138204072872,23.778755616068963,21.90762163994869,26.177485799912454,22.752069148375984,25.722939484395496,29.45329620344711,28.019093128443384,28.049791491449135,26.07303534695785,29.311577835833205,30.52728508504388,26.74373836792208,30.540004372860018,32.653976310112355,30.975391504999717,33.745599279610765,29.413648574467363,35.08978011030531,37.180105787821454,34.00627862499092,35.15250532854289,39.580169236083215,39.3973827999025,35.99734111357572,38.17254591979398,37.283500570309066,38.887046701240635,35.61270298461587,32.26990514999343,31.08990027922499,29.057709123400258,27.765699076981733,27.1964541198274,26.770160794198112,30.292597143975843,31.31404074972549,32.94481596548068,31.812230032083626,37.582820330469154,34.51940012300857,37.71944408834284,35.35590914158066,34.85832432582221,32.536845815457056,30.598734969018793,28.665960657613322,27.74258006814519,24.289022278588316,24.800420303124216,27.436323320354283,29.38511678745157,29.869584836247586,34.40462203276151,33.082842843365476,37.1778207867662,34.659420645933054,33.17603703353706,28.88410049501366,31.020538981995458,27.199891833982605,27.900797462368555,25.54387331462361,27.85914084722886,26.159692570770957,24.628990863979652,24.014342294387017,21.481799023443575,21.879298660324057,17.478200845727617,20.1559175438068,18.04287329508632,15.113169106124541,16.52283132566149,12.917609614005384,11.261126879445245,11.05708460378765,8.78403954401138,12.284627294560838,10.787767270272168,14.701211565805105,14.655839192023207,20.50987020621859,19.95380882540976,18.30328005458163,16.160000317523515,12.59908039605363,10.622505919432419,9.77318452926567,5.237492455714173,7.9832529313621485,7.343445034272521,9.716789978089807,13.612765631170653,11.96941905930855,16.685282974831086,16.436687750894034,18.0004379523603,13.109000743914743,9.654298173764285,7.258389375166404,5.464991810361625,6.205912749714892,9.140290145587063,12.50744895735623,17.140513139903376,16.941831964884148,14.003748797441373,16.79389283983509,16.97506109116856,13.795128239562555,14.46232922718977,13.926536212398691,14.453684777357825,16.5568589867637,19.457451183696875,23.453832809455,26.710861974883027,26.65114496787847,24.579883809433866,21.375438050613752,20.093508895352507,19.52262800837159,16.584399419508458,13.771255931716532,17.483227831233933,14.04308905299465,18.575426396751844,17.341656285204,15.02600030673774,16.280386097482825,18.39816660475146,15.63437780373876,12.337502254428651,11.961887538693754,10.898141450363502,14.751160016794008,16.90633822762546,19.1509620597306,21.251218312889385,21.40310011432783,25.974599378849057,23.998751201835987,24.334488832701076,21.489802657830825,18.25174673533191,21.02811363302813,22.791993253526613,20.027668507031528,23.463495413737423,23.29099484142192,26.740697124260766,24.593269835598306,25.380824130419605,24.903051023336083,22.534916585611484,21.45156735987088,19.12623898159964,19.150983400250915,19.353645837705674,15.083048231053555,16.986613438640443,16.02668839319481,15.374572939551621,19.94465162944028,20.008886533668,16.196960560213746,18.07354649163233,22.13208072843803,20.211280976099665,17.657502034336897,22.122615389406988,25.19285565144931,21.78776800229697,23.218008833724525,26.85193230515323,25.96347987641685,24.54719405121548,27.989931257663507,25.908234688734247,30.421009009881647,27.47538575061765,26.474723733737214,30.19200866852514,32.500673591234495,37.44789202308967,36.720872620971974,35.82056636972935,33.10592585778177,34.29820995963256,30.930909855373102,33.58291238863734,33.53045022271973,27.30215798014921,28.1739420572574,31.045133292187852,27.737950127393205,24.487556243773668,26.328697764936713,27.106365341555083,23.606438850610214,20.20681192011842,19.60220118071807,20.666284617427586,24.354092098803104,25.887839283077266,27.48059850120817,31.399508187093378,28.139055177508858,24.465851499336896,28.71834598346983,29.32713206000816,24.46609096568362,25.325172105346898,29.24957149644411,28.491481311781463,26.041105597894614,30.47268712339405,32.34810826524134,29.69046852524452,30.35971159368636,33.54750519324618,31.23644104570005,32.09718746865291,29.263871774576785,31.82447797327483,32.41069942143337,26.78568492236103,27.53712279499903,29.92563512966237,27.832960991884153,23.883373638775296,28.973672376172846,29.588655587380224,24.389614039331686,23.732143594710568,28.960307698753503,28.847340470501585,25.135345931273584,22.0833160543406,26.26706259681233,23.9995259655248,26.398217045269806,21.91995234402607,20.525344141963192,18.842395466696654,18.216666990603755,16.635332636341204,18.04018681545258,15.725816788654207,17.010166461709698,12.343887597787747,12.350704183125876,8.874269559177957,13.546808813394112,15.872750408712733,19.44687012835475,18.04674327703388,14.545863059645434,18.036277697001463,20.445938486342325,16.00037438650003,19.674161608664136,22.924240980056744,23.98525704984336,24.584609691160527,26.90208287151447,28.656249662093778],[18.699060677256572,15.613022274256846,15.324629751049562,8.881370846616338,8.243362908761169,11.010420849097232,10.964040506172793,15.545800356120203,15.965138921005039,15.951520604592481,19.598702415230132,22.254697713081896,19.773126134579744,18.91869176351349,23.813432210143123,24.28271936808498,21.383897184911074,25.468445497707414,26.750944776315475,28.440541757503556,31.370559826072704,34.21034963153924,34.9986633139065,33.518664484954165,30.558059399705435,27.292815882653027,25.1197506206819,22.171658324152624,24.25142263870771,24.750272299351547,29.43400694260189,28.712234361118984,32.904391366543216,35.866394634194506,32.73036463785069,30.19698523129262,29.01181253138281,28.164960083282,26.773599163288853,31.722225047269582,27.974907466843987,30.260194392575837,34.32675766701998,33.05833199490706,32.87092972567062,31.13863136950218,34.351244158944304,35.70369329089866,32.304462557626366,36.245476648611984,38.492750173148764,36.848435473251065,39.47955144206245,35.05079719787237,40.77112507322733,42.65353389086124,39.19551491084545,40.25620415248813,44.70354786507,44.48224096206881,40.621603420774925,42.34138568707178,41.066797791315075,42.51437021688019,39.553703130704655,36.160788789401444,34.02245310865945,31.74267147239408,29.574465834723757,28.460652570127756,27.581867587977204,30.625934511969163,32.32374169763469,34.65329176747373,33.937915328690885,40.08153476577426,37.76853817999562,40.98359802378541,39.17278721093874,39.23673177229159,37.17982427374043,35.82813845894664,33.762642047341124,33.42330650914025,29.985356044842124,29.866164340276384,32.12172007356536,33.741079414440115,33.69451985204413,37.80661556780322,35.88198544199754,39.50392966491865,36.593879532284596,34.99152716536298,30.397222046424982,31.81309357019206,27.63236692603366,29.3741595895834,26.929631615038655,29.20024228681859,28.77029869223676,27.535135550862087,27.874973194351018,25.52154906883724,27.00838521500395,22.342387687769296,24.95671783106768,23.177162284601934,19.523340351293797,20.572445221545568,16.06725493273814,15.430100451843899,13.496631574982025,12.346302167978132,14.465323056502669,13.117760559314572,17.25452813915109,17.249849649305123,22.76081030734247,21.89959388247742,19.353157707302994,16.835605855873336,12.891248487674284,10.916614676598856,9.68218135855706,8.501632628450674,9.962548754568699,11.966397405033455,14.703563008716484,19.280826755912877,17.546754128928278,22.236117978208394,22.609632919034095,24.12965667361442,19.5416172307207,16.060607027826045,13.439222243236742,11.691808700366767,10.755762389256017,14.43800167587876,16.541531477644284,21.387408276540008,20.947374386184315,18.434652672467717,21.659867368161034,21.280846341203812,17.999777188052676,18.232276169424857,17.842737702012418,16.795511043596793,18.925132254912793,20.399648356116067,24.737649156590102,26.686686295089405,27.193087423576934,26.149326343321686,23.294359814921407,22.863171915171733,22.73478867454838,20.868414706412157,19.107063745708803,22.44555756492734,19.580679759544804,24.249049679837217,23.52959660695436,20.922839908210626,22.63015362478151,24.34302099344895,21.518522238584033,18.206331295097392,18.33371965231181,17.242062601672696,21.110601530169657,22.999582745442023,24.792790294352905,26.497414144645695,25.940698014054487,30.874326623674087,29.48451641528819,30.02391237161644,27.664103290961584,24.140813172519746,27.382042138310414,29.295095642622467,26.55766743971591,29.830963673159626,29.307306017520208,32.945343176562936,30.495170847204392,31.663334631907443,31.19376230877712,28.99785232606084,27.840827423669523,25.451343120817167,25.253579806379893,24.95361724320992,20.449502760810432,21.953192945207594,19.94061592351964,19.42828622067074,23.25792066299482,23.191648143515106,19.027820855395,20.014734846480945,24.066611472042474,21.56074539992568,17.84829275959901,22.51898490965357,25.917161441900184,21.247173126053365,22.14067923443105,26.05094134886587,24.93891700883327,22.43490524712558,25.958016073572416,24.06098438207998,29.139660249243075,26.160655855747105,26.02411533106376,29.977810686497183,33.02179450307006,37.662082358658935,37.69297380978863,37.49177904719583,35.340503535071576,37.162213104277804,34.304238854400246,37.23392794890916,36.522690421010786,30.25608281490232,31.96091660173481,34.61354337649222,30.71964970577684,28.026262428257652,30.470552787095322,30.298887617850777,26.34407010005714,24.342027553011555,22.935552010801945,25.267704835670095,28.74983778469916,29.590632199132184,31.642446262751278,35.1467108102562,32.23105721847204,28.307256647144154,31.717150830461794,32.44241753219036,27.454473994527387,27.562076497477573,31.14180111916891,30.032752345725644,27.077305818112908,31.592048449184944,33.149450876858076,29.773144030315475,30.383611126975758,33.90031040026805,31.742156178748495,33.402147973678744,31.258100149347513,34.01468162046539,33.643491172075414,27.88417723631303,29.63978160688118,31.386105815481727,28.690570276177592,25.494253442725558,30.857282759504578,30.407602134002335,24.947829228998156,25.451395405505416,30.397312002543806,29.260872107897708,25.228839409945483,21.38763145998151,25.173745612484353,21.89568270292124,24.444537338897035,19.42309858203921,19.154789114156287,16.894480989249743,15.155029783075252,14.63482936849387,16.27273425293781,15.237074868024319,17.833972868913683,13.518984059253912,15.53021334418736,11.990847058129127,13.562148083222196,17.277313208602045,20.06720299430683,19.141001530963983,14.996746091015433,16.981779517027796,19.433156553995833,15.281269472908747,16.920919083334475,20.67293687268567,22.194163325539986,23.48650326939076,25.81143211179892,27.598643643098573],[22.826748185709366,20.01390791345455,19.784850166986324,13.311597843415393,11.815603320415418,12.582413609818392,10.297207157213998,14.183259111650633,13.597449959780379,11.822826287143284,15.309318656310138,18.456657618913024,14.997942428133982,13.695699151858568,18.44496053752592,18.941505858602486,15.586275646509486,19.43919953307106,20.565397815861072,22.4909630234231,25.386644775623683,28.490866913213935,29.22429388274581,27.972370139701546,25.033397742397412,21.477790008471235,19.468107033125985,16.3367725387546,18.503245356120257,19.46373011114383,23.76710008017123,23.719410514764785,27.885328303662916,30.48072238733829,27.41306969511757,24.59625554039764,24.00271104759694,22.830734116976718,21.692028417000827,27.190832955418173,23.183720143370145,24.839521083709172,29.095837720479278,28.13402267635061,28.081594561884007,26.853592287857758,30.22146889393367,31.18482909530705,28.114319570791764,32.53560840220363,34.55551016505027,32.748324865813366,35.07738670902163,30.542734817541653,36.28016342707547,37.86400357086344,34.177440570184245,35.19140788207517,39.582732501220185,39.32043361171798,35.13552948337147,36.59371829078607,35.20678981554571,36.53527543331888,33.71435891125355,30.31976082523213,27.889775884222107,25.620906393896565,23.339720972655506,22.3462511734468,21.444263351710976,24.599994978647665,26.214987614144107,28.42748403816969,27.833593004507485,33.99506846712668,31.806520409226003,35.16258767611749,33.5218047205274,33.76549118883016,32.112683520977576,31.125618252145582,29.47167063144411,29.530587708447577,25.88901165202317,25.280272385566345,26.937808228737197,28.706162248559995,28.062951621666247,32.26843693512443,30.07998779215391,33.601256781368114,30.83363374668361,29.52316459747269,25.035198302697044,26.606491849511148,22.572035527344678,24.636581655949765,22.715660630365083,25.912557053563805,24.762605754683197,24.672685326233417,24.24350643247167,23.094350072245263,24.89927095343879,20.956961759949046,24.501788882092185,23.355112282870266,20.413150325763787,20.554570377507822,16.51668564812328,14.042403140634994,11.355003268544309,8.840269512519837,9.2317057250441,7.261326647466998,11.21276769813729,11.447450812692548,16.692631357573326,15.685890819249535,13.127026122790394,10.721209741335212,6.7011649415206955,4.9803099050918025,5.635846747351736,5.866411432737021,10.574846575369655,11.624718609352822,15.045793824852927,18.718154639687345,18.544904750707296,23.10301126559783,22.71695756989734,23.396477178970347,18.870001269632855,14.692625258296257,14.010294153605006,10.114210167978737,7.67119499878819,10.662261319339871,12.592610435554061,16.95986324699495,15.702460645597032,13.383291551348115,16.711596126253138,16.04105733632033,12.894727840764274,13.61342985345979,14.311288766431883,13.645883122979637,17.10886056187409,18.388355310894223,23.161110968012164,25.373955713175384,24.80112056250994,23.449856147702544,19.999240526985613,20.211290452129354,18.932628468296162,18.178845614411344,15.84133634171221,18.046368520921543,15.446736960549138,20.10426774734719,20.30614267107244,18.16809378046257,20.856032279125742,22.997198910805942,21.125317965307897,17.219441430783323,17.332090002799255,14.957933774421887,18.442505329759733,19.996843760578106,21.311466100281663,23.25780732259633,21.901927342662006,27.26488368843129,25.74936259818761,26.90978556123001,24.711001158940068,21.988159180930946,25.69002094986278,27.692396453033215,24.588359750164436,26.836352470404645,25.486785912494835,29.603876604404846,27.2378595296061,29.112783199035928,29.318981337281794,27.13635874417597,26.958547659507147,25.120892208338546,25.595887746314435,26.229495121827572,22.11892350052542,24.020424701043854,22.940400544196038,21.741376140738,26.28789737538036,25.646607465776732,21.627742710989295,23.822575136819545,27.625396878733014,24.816701986117117,22.27670155787175,26.92352211635198,29.54774974304501,25.145286269998614,26.69401428023195,30.39307823611302,28.678212231039915,26.77457217859557,30.733088771426598,29.167108515154027,34.04014742021486,31.741833069108907,31.145930316642136,34.90003348872194,37.91365538818634,42.649378108994455,42.45634600165962,41.68704702595589,39.26396595808395,40.64084800553337,37.25744416749356,40.25602309473107,40.17966253205793,33.85987961309438,34.94546246012945,38.0132000915782,34.59233402178722,31.433003987148076,33.42768688155146,34.10663413303012,30.463080902507933,27.342229937626524,26.451334536348497,27.422286153488404,31.070507000055258,32.18564393188475,33.493829266085285,37.045060821737316,33.47416207912149,30.1549404722445,34.05799396934648,34.07533353295094,29.10663082879444,30.16245555442667,33.518860433491355,32.1744046986049,29.880904421181853,34.69200285614496,35.95676123511488,32.65070671892744,33.98619751489968,37.54967930780657,35.669372147238256,37.054334651584284,34.548989342860054,37.55775767295805,37.755694669224226,31.997865462601013,33.4689727962405,35.80010457498651,33.3674055011901,29.904597138633427,35.315582191255345,35.47682722676518,30.091403426640273,30.12367094984956,35.30060360295801,34.65914617233853,30.731275355555983,27.08401763003441,31.09271768125796,28.006672314629174,30.39761375933785,25.325163581389116,24.56716555631754,21.856809380666704,20.85870132561872,20.403204281896045,22.241688363835426,20.81859331136511,22.770315769947704,17.818583668924944,18.621141503752682,14.393866025172267,17.079616637441546,19.584247455898055,22.52718411743082,20.003673235599152,16.812594859921727,19.896380164606782,21.24628735842187,16.10139736189901,19.25881920645794,22.17601877506462,22.68150479268726,23.49410674990832,25.66241705144829,27.72542947171679],[20.317810566550268,17.88429929488631,18.158629965234972,11.715436512466423,11.68937379491086,10.245811246265005,8.166262574472011,12.01591944612744,10.392409111539518,9.271249672625235,12.590034708729926,15.892710261326132,13.631597949192862,11.7697976210069,16.864552016085547,17.93556390668277,15.475384954340683,19.653905549031748,21.537638200216378,23.801194349956667,26.94267505350867,30.43470172553284,31.25975869672706,30.40127486025995,27.475363685138305,23.57795860808484,21.610948750043274,17.9471369268555,19.256343042122225,19.551484702591285,23.111894856673644,23.042025535863957,26.860455412947836,29.922132056262832,27.32151195482787,24.964615844929686,24.406158146037626,24.218217510813925,23.695604074149642,29.48812347080682,25.912898842631634,27.029753990545824,31.40754805812118,30.93990427473574,31.175205794666585,30.28779805066119,33.75304759745449,34.376029727337965,31.38161934624581,36.05445999845953,37.7836085281891,35.76348987951626,37.793821330459174,33.101282077651156,38.55589796882743,40.21689180456249,36.40504921865752,37.01215913563075,41.43322450179587,41.5193374841828,37.03368179126856,37.95912888819044,36.136109311793625,37.74441302570044,35.29101687499564,31.654978905621697,28.878260779444464,26.105258993517147,23.644663015021344,21.864768556612653,21.06146616719344,23.957263177244144,25.592084208652036,28.47018894922125,27.67357848298262,33.96101896099597,32.30624238732775,35.345104639556546,34.119379626055455,34.87287067453446,33.14993632726,32.741508416135666,30.64428724806022,31.33115047211396,28.000636957717955,26.750130716487647,28.37222816999351,29.457526902950242,28.814387445924574,32.32298548856019,29.915213671599385,33.120816198909516,29.96447525288893,28.33594956476825,23.663540856922637,24.696937341643306,20.44650198565119,22.91804361117915,20.823012459536354,23.79019531210301,23.66179633371122,23.714360445319507,24.136581204807335,23.13006492886887,25.891931422621404,21.89631613746732,25.470549783109327,24.866987809085384,21.60627679412621,21.12052388572134,16.76227904327706,14.81761679998853,11.032675600420543,9.986692598217207,9.50045550149691,9.015436972780481,12.707114209729527,13.98045466219431,18.341748089797278,16.35853109400966,13.619824274741829,10.56769325466281,7.8244170568561495,5.35227988578645,4.361501832870377,7.8721974528958505,10.816673051588399,13.157856089821628,16.735808379695698,20.65378074611175,21.01578492832169,25.437916935291096,25.61893681381614,25.77677095694639,21.86891378713789,17.58100212753993,17.29022082454866,13.914478387769098,11.815275001249438,14.239374422212444,16.544229017096626,20.56519673826089,18.670299616388466,16.360236600685194,19.39647529054309,17.780906715942628,14.753445380985143,14.423760748046172,14.849789348677794,12.86996789489417,16.166436180541133,16.288587248376118,21.185621870999594,22.54236481193819,22.190455025033724,21.540331336663566,18.462811586593947,19.32039077254144,18.527377360300445,18.659516980294818,17.602415141013978,19.67391609871234,18.261786793790034,22.644772424248462,23.60551271569972,22.066421284190255,24.645258041233344,27.07840446314272,25.151160422685734,21.32585548923512,21.113800001956264,18.579099645305522,21.47858745931239,22.452632397720325,23.176665253458694,24.486457599572624,22.62568873359012,28.052188494054473,27.31057377126497,28.524333458217217,27.101730646195897,23.902357225647563,28.229684527455593,30.595894888347136,27.65199378598322,29.888955017568513,28.39162260098012,32.88432124535978,30.926335634575555,32.77945080670131,33.12223393477559,30.713208297108814,30.597578389420292,28.622308755428826,28.931365219998458,29.44881263535601,25.254291599800833,26.63844355307183,25.087955208905846,23.372506060752432,27.660808076158986,26.469871527186235,22.37470868243355,24.677566899084912,28.140101195398465,24.74033487116384,22.384771308317553,26.967084644760913,29.131911869012946,24.21596224511347,25.871742648628445,29.456940308063732,27.222996959425373,25.194340382761595,29.416064499289718,28.293072106113453,33.18657952134814,31.673715440442884,31.155782846021793,34.77847675355234,38.31166770552705,42.825624870440436,43.05632855444872,42.31675205211865,40.200790449361904,41.77330356891334,38.474013071114996,41.8647918649697,41.69427549989337,35.319957048884284,36.738387108176134,40.08174259659347,36.533004728300696,33.51381176589662,35.91233181416046,36.555261397491215,32.70303299269915,30.06133601275265,28.44333776699913,29.48717289881184,32.99346497923493,33.50386718205706,34.730153795760884,37.85821673369162,34.284057669400006,31.109051596656098,34.48865636733694,34.20791282486416,29.231984540400703,30.189131689010644,33.0834155330023,31.38144492777195,29.14377060650359,34.092263363696475,34.934435300415394,31.253850060034786,32.96530286630647,36.71720563841611,35.17894695579839,36.9372604265563,34.7615061251209,38.09909864880199,37.95199478819675,32.18878652910544,34.25376712115729,36.54888342778948,33.89656024502293,30.922905656657004,36.617171636174234,36.50377295986236,31.082557274780395,31.741183498892436,36.916857419551896,35.975353653809776,31.984323285621343,27.946649123187076,32.08221342841724,28.60482132656117,30.53620082195837,25.177827686317677,24.490371039621703,21.094071432726196,20.34905997874287,20.633217946540142,22.9962636112301,22.087126631577267,23.993521638397755,18.838090173939577,20.152749006992387,15.648097013316503,16.731038148940925,19.228927433620527,21.575832200572506,18.745742182554896,15.769439849514882,18.296186535357023,19.005866396880077,13.893375700568448,16.44527204384618,19.07387553063946,19.404465883268116,20.425328178686364,22.532998766329253,24.685839726708803],[23.025448602397116,20.979614447464737,21.82096909987943,15.28297730505639,16.20723144620455,14.135683526570299,12.106322824876512,15.28739726730983,12.367418944511408,10.292262726321761,12.617037214256774,16.634807577776396,14.496025694146384,11.115527354200097,16.12861414437133,17.914671890402573,15.376586401742783,18.94431388345836,20.27951079843452,23.343364800795523,26.055670108434146,29.98359945964712,30.359063344169336,29.536480275522827,27.074723218978082,22.866234295279718,21.657336650703307,18.086619658975323,19.458255124667332,20.27346775081679,22.565248083992007,23.628294322848625,27.053750235673295,29.820859797915293,27.647597780398094,25.09134813069124,25.421105590885432,24.95114399959562,24.71955388016032,30.885309207444053,26.89244880948147,27.26678512768587,31.75539571984894,31.405090230186165,31.41096382245923,30.896451259054377,34.25752369130197,34.88505203120597,32.446933671607106,37.23489163662934,39.01950338081595,37.074985776223286,38.90589941271924,34.31158230440003,39.7828524853306,41.008342381125296,37.01117524164936,37.70305662720378,41.95480741986157,41.80723727361665,36.997021187168784,37.57767516355979,35.60284402825417,36.79218924655616,34.62917360176846,31.206442560712873,27.61792292295866,24.993150706653473,21.764814515443163,19.94427700659679,18.59830783776393,20.97893012252664,23.239453548020496,26.347811937277584,26.22040314080386,32.58657001937461,31.553249391625773,34.760399576584355,34.00596346499361,35.10179260993441,33.98372115961245,34.01107298327681,32.38617731689226,33.396404309888474,29.926330712117327,28.311509355934422,29.174443211251344,30.37770036003517,28.877984671549918,32.25884290682358,29.28490636447271,31.97303913125949,28.849033094336928,27.576730206207323,23.015299210056813,23.602715240634765,19.43494948522971,23.00737813921771,21.52400494433336,25.135279179082357,25.09528981053927,26.162841488691964,26.349790156312636,26.22895064415716,29.25227193636514,25.668876424292648,29.519646334528616,29.108223725246468,26.047181825759466,25.340533615228196,21.14868300255637,18.805633851072407,14.794021362313238,13.379280229053878,11.239698739738722,10.32318247957599,12.850477057488678,13.757110917381613,17.056508018259066,15.237202448559898,11.94291707968054,9.397117971523752,7.131265651386146,6.6453703431737745,7.7904706838557125,11.829256081395842,15.376138534067195,17.471933502461802,21.093275857817655,24.706157899138383,25.276366571987182,29.699044708969804,29.53565636056968,29.618423627425383,25.584915354674553,21.218094900182233,21.15065869598032,17.112629367567056,14.237537329206182,16.532208684244356,17.56843761228173,21.100467970623995,19.011241755529444,17.451684346147967,20.574119804460416,18.974827830916347,16.36554235464606,16.498283108219898,17.733809417783924,15.772041215305554,19.54664764544209,18.95060145703087,23.932681431551686,24.67953931122137,23.878095485709043,23.62162947248376,20.481474218825362,22.10580954867093,20.714933338557298,21.860090705033542,20.586148023789757,21.696428703919164,20.36656640405959,24.603211155987115,25.905312630678903,24.20294963484483,27.392028803205086,29.58854802684294,28.099444820688696,24.078862090829514,24.25642000730196,21.441392739658145,24.363750128345288,25.301726440137543,25.781946117072167,27.230769090406728,24.768164057456406,30.390596331333064,29.6185600118737,31.251732949873062,29.864337057225516,27.271690123391718,31.61759198287098,33.8686648200916,30.730497587582583,32.31209270449127,30.27059215529575,34.810764246748555,32.55463668481169,34.99140033943604,35.6153297956592,33.472589621993926,33.74544323425301,32.07434853203521,32.649338607612236,33.3794832000828,29.267632483752248,30.936646892275352,29.5508134480954,27.940277739863703,32.278878915778456,31.08306400736876,27.005929546767774,29.284846738128923,32.74860103965093,29.2783883324719,26.844505396060242,31.41854098008188,33.55379639245668,28.444290216005275,30.008655848124192,33.58187106459797,31.18343816960123,28.933263977656356,33.17351570982061,32.18922813790865,37.17688841469647,35.66511802614069,35.40124299014047,39.055961847376935,42.70233126702701,47.144811258753364,47.49929385238085,46.872726943173674,44.80436148377646,46.4010192889698,43.09773659462124,46.458213260216056,46.28545919579449,39.916132209374375,41.30225650265454,44.57283638087347,41.00488187221315,37.99035742509515,40.27056909565238,40.82828996807372,37.00257864404739,34.296206865223134,32.92848177226904,33.96199025047824,37.505882482855604,38.10799290709989,39.255599933262275,42.37096651225283,38.6903167308261,35.64394616519391,39.02995899443692,38.59889273268886,33.659529673204105,34.70513849015798,37.44846941376156,35.612427972536175,33.46571059855025,38.444616445783794,39.10576100982028,35.27031769243661,37.14129573597131,40.95861452052277,39.5349568915681,41.4192167042691,39.32515827375104,42.70155775085442,42.465193648807414,36.70671483190862,38.86124826138775,41.08182013870248,38.36057911612079,35.45210663729018,41.11801217627409,40.85139133776824,35.402224369157125,36.11534112280721,41.21322600777579,40.10347007602973,36.063129755861084,31.963926134285884,35.822374397956295,32.12910401934001,34.25442116813199,28.86172737752975,28.58337816687956,25.120444406819217,24.02162023917539,24.565830305499357,26.767767567118064,26.10522071850333,28.350575331392157,23.353051891310027,24.737200484641814,20.25870357956052,21.226703553950934,23.724017772726874,25.87776178597961,22.790370063411583,20.09418239380534,22.343261881602743,22.640606720193773,17.632274350497216,19.62045345688564,21.89683476112145,21.86070674781561,22.927439280030715,24.782518717556894,26.97828978099728],[24.411787936015774,22.476127679211785,22.928107542360465,17.06079348094551,16.931942450254965,13.972377436006637,10.838921606135756,12.708695674838706,9.313936474775916,6.008959390678127,8.013622079888455,12.136570162807242,9.84634274079723,6.318625374191322,11.411940305144842,13.201911312415517,11.211189570200538,15.069755215868872,17.38620760821878,20.160686401496054,23.310455339690822,27.28892029286332,28.084383484657288,27.811114629043637,25.063327260185925,20.790800857642495,19.210010500960536,15.205495120475522,15.680356116143447,15.961254505126513,18.037576165848986,18.93253861100875,22.262986914217844,25.175196479514447,23.13696994031108,20.89544402732048,21.166466431139668,21.400346937458497,21.69722296356739,27.95868140647776,24.60640261152086,24.574338092062277,29.0464057450213,29.272276824788293,29.829249223278186,29.705229983542054,33.22630102869327,33.23263456445891,30.737417675961915,35.82271680001759,37.102954509043116,34.88002625726616,36.35006014361306,31.615114210589642,36.71440720015739,38.08032661283593,34.05565224361986,34.31100813771785,38.58288236759319,38.858207200005054,33.91524281114103,34.13353139210133,31.884340999807954,33.532707201884925,31.576118126182944,27.85387936600473,24.506721198564517,21.386678614676047,18.6643754316874,16.296185387094347,15.573931179659278,18.306646421304634,19.826862671646627,23.141113011639234,22.34366970090508,28.681796614793246,27.66196805760169,30.564935550299772,29.90396016651838,31.248222524274205,29.989316841290332,30.42141437757771,28.54390589557045,30.04702900302223,26.875746388579884,24.72191672358228,25.552113533320508,26.241063889945224,24.88996833916715,27.84667967976457,24.9575837103626,27.70872167960588,24.429027192373102,22.935199970496136,18.30770573588562,19.01014080280013,14.809790333914059,18.17847772798376,16.77490818491131,20.66410185646708,20.471943226600388,22.035432759506858,22.176747747918167,22.66555240558715,26.158696125928362,23.07733685710187,27.22372031875498,27.43239516731709,24.762861886043666,23.33396859087059,19.61921583521992,16.738928321512763,12.429754871977119,11.353466646474956,8.011876509062283,8.513761706631644,10.39943534182889,12.761342283430585,15.261185837591682,12.234572934734256,9.571118774891918,6.314064018136196,6.608664912922626,5.398957642968528,6.356757634636827,11.308966819300275,14.733952301053428,16.506677966613452,20.124474912901654,23.133136588257784,24.79411809850707,28.846614026939,28.712875660420295,27.98948976567306,24.657065527682118,20.190552468482554,21.345093452519794,17.25796870731562,14.737336323378162,15.822711642118144,17.791569287548015,20.652914114375655,17.698997961436252,15.93905779902827,18.45394617108419,15.948253341774448,13.657581389745454,13.07386435366871,14.508744487860787,12.32003927304366,16.425543088668338,15.468236015575435,20.43265384447878,21.36432961946776,19.905316333814984,19.482216193764366,16.216660573852316,18.299019009442187,16.585261689161502,18.640209808192484,17.978881720929824,18.517937488615782,18.393809017084088,22.122315521726254,24.3521335839542,23.65654238426287,26.781483733570017,29.542077362187637,28.378573479292715,24.40211801507492,24.05889864577449,20.74243725487106,22.738791410102493,22.99828287869982,22.83368531900492,23.874224393600844,20.928060326383847,26.53813752663497,26.229333741818124,28.04153033096352,27.329166909057687,24.793645276087975,29.602119110872113,32.1230472314753,29.094840309352282,30.3115814402205,28.031436428352077,32.98593028435474,31.423768150652794,33.8085477745058,34.779473245408475,32.367931113618475,33.06950245747544,31.52658562795622,32.24211940150615,33.350801135376734,29.512325901735917,30.923794074259494,29.84346888745929,27.578835819375037,32.09708241425872,30.34509041721501,26.497608858992074,29.521816365314088,32.60590624132435,28.896851869810597,27.444732377045096,31.858759213042433,33.26633004299549,28.51975051842871,30.59325384980531,33.886266591178654,31.089865978289232,29.52034482731483,34.00538084529767,33.29590041957961,37.95353782354344,37.20339320393386,36.4213706029331,39.80967057166546,43.474328710252145,47.93093443587699,48.16137081510277,47.03060952693219,44.865479773193165,46.173769993219096,42.567664149263955,46.124818146686486,46.382735137288584,40.02528890127128,41.116332278737296,44.82396643082432,41.58945875945062,38.3420799024651,40.55176777586491,41.75469186407826,38.064344533094655,34.905023554585455,33.39410143572492,33.539978904242695,37.01918107955191,37.4702626533716,38.07879558217431,40.981351915178706,36.975856904438274,34.43427301657646,37.86525843339308,36.8971574074177,32.10725607479648,33.71534670988629,36.14275783693436,34.14531984103079,32.534827937938424,37.615469881616974,38.01636022795808,34.336658295209446,36.72300185784056,40.50022853988919,39.34803454969291,41.02122150130155,38.757305211651484,42.35451095102629,42.48581128898476,36.82061408701757,38.875519855517524,41.53166886802775,39.011211525734545,36.074538891000074,41.8347589143901,42.03397224574932,36.690524555537934,37.252365267165445,42.5424588348058,41.82297278411481,37.88989944343094,33.87100219369292,38.157232487944334,34.68970432687532,36.377622570369326,30.96187280354171,30.022916574649855,26.259130165129438,26.02400417800812,26.509675621317417,29.070374118829665,28.088224219431606,29.625650468179135,24.19689371933773,24.940830618824112,20.247839347051517,21.416388684684176,22.94546617771569,25.00033524365388,21.016395886336156,19.20786560569567,22.041655208382828,21.570968368358294,16.30669546202706,19.45377865993159,20.92181528032672,20.139137341909553,20.69858301913694,22.41309975700098,24.729181652669983],[21.871614124986767,20.421796958009015,21.08368360743395,16.13181157350297,16.740574531614204,12.148952804819677,9.597781355382505,10.483885545705048,5.999815374598054,4.873382259014758,6.016119190558332,9.596454564372765,9.838067620607497,7.094957897502222,11.659618129305823,13.70693707149061,13.395408095753849,17.48387609339425,20.76235725278708,23.234276319410437,26.703478765263277,30.66229001304879,31.766898518701243,31.847927469594673,28.952605323998615,24.728473951643085,22.855297757661376,18.619590502599735,18.124894395628143,17.25548461323696,18.89240827911152,19.00576652924534,21.87195729565108,25.476984375225083,23.90224283203221,22.496176863507817,22.26682294033806,23.78232803185263,24.5162030243756,30.598570206568365,27.9909052593805,27.898369084858285,32.26996260633348,32.88357658293315,33.80276839726379,33.7489958415481,37.35208388436194,37.07697136211748,34.37439362057259,39.529344254946174,40.50844230460469,38.093160541454075,39.367639949625875,34.51930519218033,39.21808959634652,40.89314010057914,36.9289991832822,36.704300796942135,41.01307843103826,41.78273731436556,36.8144919355002,36.649487757032155,34.058014148632495,36.21753425125514,34.552965415020296,30.570881693052424,27.44968986089427,23.835306982596617,21.534838236025546,18.3967454556279,18.200114365024255,20.633387567142954,21.70181422079444,25.53729235455039,24.133815533964434,30.295206958374667,29.604586980049017,31.914944963298577,31.505400534247826,33.201764679270575,31.550421442571153,32.36001274902954,29.784708513798414,31.73365791671693,29.060390851606098,26.54006340296264,27.739385685855805,27.556774556096894,26.769548609479767,28.823158079403807,26.110231015678405,28.643738580408385,24.94829305241202,22.850407069462786,18.135348938478334,18.223256943049016,13.874986086067848,17.019657013483755,15.078937033997478,18.099068135245407,19.37447833672941,20.568286650482026,21.916914705943586,22.13148838889903,26.42107002575869,23.236212871176242,27.112405169059983,27.786207019314983,24.851730521806733,22.93367907749518,19.137293497480034,17.13127737520772,12.424895263768265,13.062336508529956,10.45317450478929,12.26760248785458,14.294617123200695,17.244788752894426,19.46737218540885,15.785863332407585,13.673494841848711,10.345142011913463,11.297504300898016,9.25152240667421,8.050599454235366,13.367155341310824,14.872747692037148,17.49122240085043,20.946223428723606,24.136245089078056,26.10412146654265,29.925109180558067,30.45747547997686,29.333796716529076,26.677006377711322,22.304726047543287,23.547837142890632,20.231561867404398,18.331657286805587,19.310287904300196,22.08690068141372,25.012262250221802,21.884285777851655,19.80356522628009,21.93942087057788,18.798923818895364,16.585904318479315,14.816638438251484,15.35583311581316,11.942263984199403,15.118260303988,12.86324434515356,17.60754637854033,17.53119043081713,16.515927134259524,16.986537020923898,14.515456886771887,17.036571331769675,16.371292946087298,18.851980466261644,19.65675640196708,20.573675295150462,21.43413479485901,24.863622641936757,27.439578141442528,27.252179583652175,29.910515496354364,32.97507969988488,31.513513397689934,27.722964242174697,26.970860804370435,23.786877066580765,25.320741602736724,25.112168696790835,24.543845257848293,24.805565077439134,21.784708863825685,27.082129278911403,27.654992920947983,29.226224200168158,29.289958035205863,26.050460493392695,31.29462932669862,34.16190022681589,31.437482709289693,32.99840930690466,30.952679502776046,36.11407063529512,35.075703874434346,37.084268464069886,37.99248101032711,35.27125982021191,35.790400268329236,33.9774179027345,34.39922955635986,35.28103704036771,31.378387211620723,32.197726935551024,30.67430090800732,27.951929954331625,32.09206714329759,29.83741334907807,26.082345502881562,29.16792450114228,31.790496919863674,27.645705133270987,26.602079501891655,30.750552949545245,31.56849086466686,26.62193093157749,28.830086283652186,31.83975202822401,28.595556395194855,27.17214899025066,31.787823415806567,31.549761212835275,35.99089919581877,36.14409446107706,35.290985407522555,38.41735731156974,42.471606037861385,46.66948698306044,47.2473012160675,46.067563497782366,44.210728535955525,45.6604114608529,42.170711208427356,46.08807138539082,46.27907097144002,39.9595555086115,41.344993877403034,45.321233567566715,42.033791853852044,38.946204978824355,41.541919447993564,42.76531052191922,38.93146016064839,36.2431109269157,34.00989054706477,34.18248593578178,37.444304141888914,37.26322900194769,37.78217721320336,40.19693962251902,36.29163850468747,33.93169874328427,36.75636361700909,35.516981665045165,30.846765881223636,32.32805600299381,34.23116891923179,31.937170016475022,30.475959036414643,35.5563809323357,35.532050444702705,31.62500418763412,34.36865564408856,38.220614250716125,37.442556291021944,39.385583414848476,37.45429183495511,41.31516835214688,41.17172305448873,35.63644006312573,38.174665942289394,40.81508593382269,38.18371035786111,35.74641287705947,41.67674180852131,41.71964274975948,36.4729758169165,37.5518929548623,42.8013659463643,41.92097310924217,38.03236157988285,33.79546674138428,38.24503945093459,34.626118624090566,35.718379607587316,30.23410198336947,29.15072289904559,24.91357020136525,25.204134546673384,26.207864797081236,29.20124344538834,28.550264179036375,29.793405079737663,24.318328922011005,25.359988161106067,20.67248723835896,20.461181768882486,21.69474308928309,23.059725308789524,18.925350573203755,17.61786791881715,19.826598465652197,18.588554296526855,13.793663750789943,16.374905385811175,17.167151664262477,16.03821343003937,16.7051457460756,18.292039157032512,20.663064720648308],[24.97967929641001,23.797770234803476,24.53164968612574,19.859386031185597,20.388034314402002,15.610457922475215,12.897330566976807,12.773989877820487,8.047213478353575,6.132811096670538,4.701111301963551,8.414587285790699,9.44632848081455,5.987829848456879,9.406539272726006,12.091117987588586,12.653710255215259,16.145639137296193,19.675589648553405,22.334006177079917,25.699645758408344,29.852028831457705,30.928122471643665,31.387059031693813,28.676364148766133,24.380032271750256,22.802826137661377,18.592430059739318,17.478205233387545,16.473008422745462,16.72753059950499,17.48391756399956,19.738200903340744,23.264075339082986,22.25938494426519,21.126362900230507,21.431143498555393,23.32125614116795,24.568976980353746,30.728633148193744,28.356940775317394,27.596091099463056,31.9004713768348,32.931557518629205,34.025004399188106,34.39204438451123,37.962918816939286,37.350174762650106,34.96671706275993,40.26407326483743,40.976977552759614,38.476840714893044,39.39912910318625,34.60399047419146,38.98869099393774,40.47449944670471,36.443874149558866,35.97267447346984,40.11990070537815,41.03327158593548,35.85171664433404,35.18855333852425,32.31323276729919,34.51294517515432,33.24629823780017,29.27237615676015,25.863259240111745,22.056469117832183,19.71478720606706,16.105447608163686,16.094977826229215,18.162076354860307,19.02400071464112,23.20220151491766,21.748776344580985,27.775734113202013,27.637932100125248,29.7186881280424,29.7685943009795,31.88666195933458,30.542771429240506,31.916876845085753,29.480726727764978,31.922724641673003,29.43823209815509,26.423368833658323,27.118224365187224,26.58312582091408,25.39440558065517,26.86279108985478,23.86469421021879,25.93667269158707,22.121230477007263,20.050983368864312,15.472289828959932,15.030131346860369,10.768863504839677,14.720767646472066,13.393150467755216,16.902364572565308,18.35465227389784,20.56513021453245,21.80522761350988,22.941851019177086,27.556576818012598,24.966469271721284,29.02440492862849,30.096263672576736,27.502298014858575,25.188508032080726,21.823799443347205,19.472707736244214,14.866120015351433,15.407291089479825,11.920620619821701,13.971635703720859,14.951475316572846,18.192116863920667,19.243194887269137,15.140217298315958,13.423555766431795,10.579318913266624,12.877868380447731,11.554847620523201,11.123207923645333,16.349775794402138,18.11789658890204,20.382259835852096,23.765746324677536,26.480801973427,28.975242002142213,32.593524244915905,32.965256962131974,31.447686615449832,29.093771201525893,24.725103202940954,26.51429584333262,22.931011586240583,20.875409070372935,21.351153135093803,23.872714144974367,26.200963815855083,22.677221131039328,20.95823494649337,22.723967563930024,19.23512721429985,17.57706236308721,15.738236299427493,16.717009141527164,13.449320071967623,16.71135677944914,13.867958461153785,18.243653487188343,17.716254513182548,15.95185871882591,16.74220415362839,14.435918425531018,17.700420120137775,16.58763694033327,20.124507658775595,21.154422148771378,21.23216427778763,22.764905848904053,25.727393314851764,28.886077838752417,29.092824753739386,31.96433916256205,35.1329352177424,34.02962295663084,30.20165813077003,29.4230459916954,25.95919538420435,27.061929708892865,26.503571221847515,25.470373940987933,25.528576984412368,21.966742124751036,27.160259219510884,28.048539763901942,29.912990187433177,30.404287433497675,27.572647115309277,32.960187954097606,35.86679183168407,33.14344835294742,34.16243625047151,31.74546463864163,37.06645373060983,36.258374722199584,38.50972048614348,39.72276284466393,37.029451111721066,37.939544541831005,36.34988686334901,36.95839340165992,38.10614326157049,34.38608954582905,35.23101117810259,33.93092567914097,31.01328919562308,35.220472969003275,32.74092651317661,29.151508630157455,32.506917601714605,34.942414981518624,30.714062906028488,30.06697810341531,34.101583591837944,34.56329332817785,29.76904187221267,32.1236171151636,34.95619319945948,31.48685567773502,30.297870878418195,34.96188351351724,34.922919262699956,39.21231884721524,39.71496692110373,38.760917971992896,41.758730539729704,45.85705930585979,49.99922903073188,50.58585871475191,49.22676349961308,47.361206299909284,48.67737661641383,45.06028290504998,49.03997030348631,49.43664833906735,43.15550889756484,44.37996838633846,48.50955567809162,45.37773557558888,42.19760002736775,44.69307626650754,46.16240504056053,42.40958253314641,39.495102728354276,37.33687668894197,37.111155173991,40.33754790238455,40.12978802234846,40.340771933767,42.6068107939007,38.524855912135486,36.51882230715233,39.325947052463015,37.73939214833155,33.241798501475955,35.024169394523,36.648354137696735,34.22583740854423,33.118792461571246,38.18776053432088,37.91704216465644,34.06252858811851,37.12084784884884,40.94085170378265,40.376951155901196,42.268276949279326,40.32074361737632,44.28002565183845,44.26643507982355,38.82434791303253,41.341681493192596,44.13153869261573,41.57391208114513,39.167212744327266,45.09740527233055,45.276747571145336,40.08085541442031,41.10929986240846,46.39416337392702,45.60801303955159,41.74911763381037,37.53104297380385,42.019673041262095,38.4039992492897,39.41024983812216,33.92989383855753,32.77211428622088,28.44194141908161,28.897437959169412,29.958599855072393,32.99071990803866,32.308398417933596,33.42930163123444,27.886690834810324,28.6876835653417,23.988621485983497,23.88450487000144,24.6945523343754,25.88891280142246,21.3433037936643,20.64551761284455,22.905338743743798,21.14629912729494,16.596620438599246,19.253044199015935,19.366741374633204,17.6188476986745,17.939432432342365,19.13499368859296,21.485560231483273],[27.33689868288519,26.196370120429624,27.281324259795504,22.0355138038652,23.082171204502174,18.73086709333466,16.206222008815256,16.785901683933627,12.117674364376196,9.64850374665936,8.430734908226643,12.302602547116587,12.46232122617349,7.8927051708507605,10.900545813685168,14.04078199342677,13.90203478220211,16.562405406922164,19.12422819549368,22.527285356187445,25.321636913943976,29.77276381863872,30.328562647896383,30.652953361122794,28.424068125245434,23.962558503337515,23.123931094411365,19.222259960208117,18.60797589012082,18.48727682333575,17.784123643004705,19.81743531962527,21.801878279160256,24.733350481907955,23.976913655017547,22.403271329952876,23.56362088623812,24.676025719851655,25.872626506505963,32.24242766218728,29.273797159259033,28.095638226995288,32.4586924177909,33.355109950929005,34.086037971468954,34.62065242112393,38.03909855446748,37.6157928928406,35.69330217289045,40.953411416515465,41.887052940932094,39.56452836101383,40.47320637104894,35.835093986400906,40.39216099999702,41.439080591536744,37.286982355979085,37.09798828496267,41.07209926117482,41.590496879737316,36.22351129464174,35.4438282417731,32.59620548112348,34.20802871641157,33.10326740053302,29.46868665817029,25.295318658615074,21.871239564906496,18.649047025394964,15.251576648399153,14.457903038657287,15.854207887479772,17.609214956056814,21.910767244370366,21.402751196032337,27.477748387865628,27.864660043027424,30.272687852817235,30.66224165331926,32.90110412201481,32.18784941662367,33.67541205630483,31.855639510007094,34.24107117833223,31.466856544480642,28.480714869768214,28.53182469131462,28.45122033898682,26.41162149812827,28.066834391492254,24.537729708207756,26.103240701681504,22.503784228596334,21.049060974186087,16.782650618337822,15.976035261002274,12.098760184004007,17.144303370462392,16.604539099603002,20.60825033152403,21.66245077149973,24.446028732336714,25.14945273524059,26.684601116006036,31.01899049361577,28.515171364212176,32.7074922275255,33.5413484817935,30.961435744753224,28.91813467656267,25.43144610878837,22.80964587352599,18.265807573984393,18.010387712646793,14.037727100946626,15.12630132824842,15.541277573609506,18.07378238694002,18.43450151571082,14.879667560012422,12.665622449733357,10.61017658847941,12.81485020416533,12.629241842419631,13.337959434424365,18.519565896176456,21.158230495178252,23.27908950220514,26.806194106409333,29.580284058057078,31.76098907774489,35.60350117636406,35.61734377402944,34.405283371769016,31.569880671991875,27.12311015785071,28.635696771174,24.5403726038122,21.91117148574406,22.664380419529707,24.145498532243195,26.265691829459886,22.880750288714555,21.76060472036888,23.775989474923254,20.733343470216564,19.247523751945103,18.240824563274167,19.831156392541658,17.074894859394046,20.7216284828367,18.151512390194192,22.54399744894581,21.886093484591758,20.026640363936618,20.832285286367004,18.366358739867096,21.65849051750394,20.003162202242752,23.585203192204872,23.847159412554845,23.467300526085516,24.42711377773216,27.50232700817087,30.511853508293214,30.248254087120827,33.580036719183845,36.40595346826156,35.525144369129066,31.52818768216457,31.17662541546436,27.66082235922874,29.160199095911164,28.907288774477642,28.04443367654687,28.53400807711697,24.81705237389619,30.164183461737245,30.636075109218936,32.765338091203084,32.863769081471666,30.555195274241576,35.70025355195251,38.376330783001464,35.4260685273046,36.071373280957765,33.326834113408836,38.502950989098814,37.216191437700864,39.925780964888055,41.23820811256243,38.84632453511452,39.91285455724815,38.51687369785928,39.30754101985523,40.52594172295806,36.75177832440647,37.97555195837601,36.76136471668599,34.1859739204249,38.513089262120886,36.323247447501934,32.5933060489197,35.715487449561785,38.42845819051307,34.316199906742774,33.17783356958492,37.38188684407957,38.22930366700463,33.22166742128594,35.344098401650754,38.35788177664884,35.027924831987136,33.445250296591176,38.0335181986211,37.866582724245966,42.39262665986639,42.44664390123614,41.79767542802405,44.98230679014683,49.07011661685702,53.250829384718294,53.86810211755073,52.73100308789694,50.83468177047165,52.22482080810316,48.648657895533205,52.482715754596576,52.76686126440262,46.43433140071132,47.66623005807682,51.584011684092424,48.33507365060453,45.16280415796407,47.53901923395585,48.779723864888325,45.00738037409496,42.049466387227476,40.220796253620584,40.25620339098994,43.60807224273872,43.65978486082361,44.02434964240878,46.4903867263113,42.4107494208748,40.24932955554096,43.22473238273041,41.79833061374834,37.21789153651104,38.89969508340083,40.69776993094226,38.32760221075053,37.03911112706528,42.113946169923814,41.937034011573616,37.99081785985721,40.88144715054543,44.747714554262814,44.06338076642154,46.03552587754731,44.0925015024368,47.95825547496093,47.847902793461984,42.30903546895154,44.80300872459108,47.44066850316504,44.79158562154055,42.28274871644424,48.17685288751076,48.17263519338319,42.86351420361758,43.85004982393879,49.089931924896526,48.13195443065715,44.17522755153125,39.915164582639704,44.13468084627754,40.35143187542098,41.72708761167306,36.20731059962554,35.47741425384176,31.276995657118945,31.16764158345019,32.25656977088844,35.041614207224754,34.48200603262728,36.064051813845055,30.650093627609053,31.630106703354915,26.91322942011693,27.073966645454124,28.340426059248614,29.692927919418,25.373693825713083,24.287044700022275,26.416041209010128,24.958508839619668,20.381178630677383,22.499850117295214,22.935376307071945,21.394074154588242,21.902608143612323,22.997923627615222,25.27272496831607],[22.207964710416416,21.48262628046084,22.907873232009706,18.384976302521125,20.491327468985713,15.255504871445643,13.907307539647501,14.579474492708808,9.851712371916577,9.924300203763408,9.43236081915524,12.434491332742224,14.253779556019055,10.928948399386796,14.496626573318053,17.23197762914039,17.58153917628408,21.070768551547772,24.15340277384142,27.122443887581973,30.29519728785801,34.5450360715783,35.372692330577166,35.5672894911586,33.02285998904895,28.638595958858847,27.253992837664363,23.10610756302076,22.419574676196316,21.53664652134369,21.788481433362218,22.502002181784533,24.57681036757166,28.227061204352573,27.37272975113786,26.2685192771015,26.49623645308671,28.285763924963874,29.308286397678796,35.4943007733815,32.83197079040196,32.293974028696915,36.67370867785241,37.4408264434602,38.25709195294881,38.39956833249587,41.928584526395724,41.66213038332293,39.24695525879265,44.43548088104518,45.427494652703125,43.03254999744149,44.15060073278483,39.3526221907238,43.92026251491791,45.40705916720707,41.353473827866615,41.01867135380015,45.19016932892248,45.97635393461749,40.79009300719247,40.18354697752607,37.32158261383594,39.32982144602383,38.07211733273241,34.20984252493578,30.518558805027634,26.882420059691484,24.096701355880306,20.59115435299029,20.107819941872716,21.64566563640363,23.140120528706536,27.476372006604,26.469479316513794,32.471130356759076,32.61191945875678,34.705598518449825,34.88039521588928,37.01744830099457,35.670093612122734,36.931888202867455,34.39477813722813,36.675211711962305,34.113690446707004,31.31644553006708,32.15795940169358,31.691728684366026,30.520515630777744,31.94102024996767,28.857695004693337,30.654116516691868,26.79719129604972,24.72971766820252,20.290575367176892,19.340677550709078,15.283909891654911,19.335642116479942,17.78054414216472,20.411133229444594,22.82284709258834,24.376285927109457,26.26243172712361,26.72486001537412,31.37725886422305,28.25453702790809,31.965876946815033,32.77029311991217,29.645809309433865,27.656870764047774,23.758063043833044,22.267823856401467,17.541308503734278,18.447116986546412,15.737589642548187,17.269437602638032,18.91743012102653,21.563385269473702,23.104654117004657,19.500343400571055,17.19053418915836,14.372157726196464,15.436114747387656,14.055653109940282,13.163547592117741,18.458516493164044,19.524305276639883,22.565359626643364,25.971743391359755,29.3497942581945,31.148928796289777,35.004413373241,35.71726119837421,34.634485140163626,31.996798733454217,27.63570689851999,28.565152588408253,25.279292055784016,23.154763510031184,24.443805950185787,26.695807032870537,29.57048032226629,26.46244007116752,24.721963309360742,26.913606565166948,23.75915007956723,21.747416718223203,20.037627652054443,20.605532265520715,16.960692268409183,19.6045869805044,16.443832317513156,20.620753875047527,19.051673986645284,18.41874419428248,20.01192984191602,18.31509553281276,21.310632704482913,20.96144943790146,23.891470862138643,25.023853651848793,25.726541254321713,26.70282721667506,30.068749876330994,32.736042031344056,32.38739212757005,35.18796306572361,38.11013037090829,36.60530430029344,32.761146192129345,32.17955855832559,29.059340920952796,30.715495321750204,30.486849806797352,29.784945074759666,29.857774219591718,26.607237035138592,31.758356703666,32.66390941814725,34.3083784017315,34.60333649760333,31.34964148980405,36.664475878315514,39.56402472809848,36.847616428494355,38.31968947016417,36.12467471379617,41.30999299590279,40.157997974579025,42.3492375954363,43.28731539470903,40.63158740472861,41.133639596852774,39.28794139272062,39.6437824989093,40.37044319147819,36.342081018733985,37.07372669094772,35.22903398550162,32.56532133145864,36.40326880930426,34.071905116288505,30.306055910621357,33.04639591754521,35.51241848037494,31.16235805677545,29.88238599050018,33.87603842646351,34.57687598531907,29.227203272591023,31.179892793187978,34.05429756445232,30.576137916301153,28.77801825237464,33.31556265467665,33.44284923359088,37.89162153919398,38.422366305078874,37.94460102348142,40.99333268980163,45.413784000483716,49.322236777528026,50.33296565403622,49.43267634039524,47.8981438186187,49.59847002975415,46.338642100302856,50.40529509472821,50.35434545392371,44.07001843791656,45.7754881345019,49.705462004665684,46.219972825846746,43.34934665802758,46.1733462304517,47.081987679079795,43.096300097173966,40.878067979638956,38.36793006734245,38.941745125422464,42.11152561668302,41.61919070993017,42.259828578692044,44.39589775380587,40.662775858927056,38.30848345478565,40.66076367887932,39.37510194185382,34.808794503947325,35.972179814999315,37.49865908315834,34.990689149169924,33.47177983767518,38.44828775555523,38.07069310357396,33.8436879572655,36.69924276611065,40.635244620613825,40.124868655975924,42.46173927369664,40.943989216472715,44.90570496292473,44.314019155356505,38.8728106539672,41.87220565119359,44.237421704151416,41.38859153768869,39.39297002988327,45.3774039982425,44.98469670504636,39.75312087869051,41.32043519565497,46.40272258217592,45.11153031528022,41.17857570650952,36.70476779921257,40.89214275043093,36.91806078098011,37.857310720266284,32.33889036116115,31.73961345290651,27.28648625694452,27.320862040597138,28.903723264908557,31.94138432690993,31.828275780752605,33.3917227276894,28.17969833695535,29.75082239839302,25.17355828645756,23.96206746744158,25.48277777405491,26.26136118744235,22.472807120058345,21.253957497864597,22.441757881514874,20.80371941472154,16.92340097240111,17.73878907589263,18.062951509520882,16.81093711456366,17.85133837541117,18.980936711383816,21.21277659279393],[22.424125870169373,21.600335368369834,22.388054948033854,18.631189287310185,19.558816187296593,13.96032777148399,11.98067618777461,11.175692982398688,6.40003895044486,7.191493910798206,5.935571806456051,7.845503481577132,10.885032798592905,9.008655280852393,11.882627476917676,14.139026460490461,15.449265614253363,19.228113724272962,23.20488567556651,25.460828389577486,29.073277002882932,33.044254913695475,34.377709672564215,34.91063013841433,31.996331393410266,27.819716152407647,25.88271194678204,21.574464106758388,20.148238954391267,18.41189253312646,19.016041251301818,18.73624617363528,20.780589729510517,24.83516943653291,23.95824522404415,23.402946545341113,23.03166980813591,25.67397594847867,26.967502262921016,32.86151279447678,30.967805855638336,30.503896769946667,34.717020540989445,35.83085535999128,37.11665413766652,37.332820097945174,40.97215383851596,40.296690599486524,37.61115036751178,42.872635031468185,43.4647807690944,40.865951209028154,41.79348821446023,36.92051164621264,41.101399707518915,42.91513373048055,38.99820348674508,38.2694316774397,42.48923373497993,43.7277775957561,38.679714740298046,37.978703333151344,35.01342240701868,37.59380589644062,36.35549155752676,32.21576156102559,29.21887751983511,25.21199957148987,23.317256773657572,19.541597684821458,19.858418627091417,21.88634910181815,22.412114115951937,26.65337012120274,24.743635261388174,30.541659150147016,30.352661871305433,32.02421734750941,32.02892524637916,34.177131956057735,32.378057832250164,33.75864687101355,30.743429587306533,33.27440551269161,31.128495554493192,28.11213691062955,29.321303189675792,28.28034825025287,27.777811691099334,28.779226018191437,26.16667912886725,28.26972186516379,24.272979122677352,21.720028534723866,17.214053972307017,16.530986230163737,12.432799207242928,15.391629175720894,13.3462260903934,15.55944798496917,18.299377931802535,19.67849081079182,21.960538886630236,22.474002820080173,27.480286422472968,24.666516285520583,28.34985606109563,29.632489095523447,26.795027405801708,24.282194490647985,20.862837671354864,19.363569679199017,14.747112254154242,16.398173369194335,13.881050615930299,16.411652742701786,17.959668691463403,21.37399782206608,22.880019202701078,18.660992853032486,17.121593144768138,14.023387798510475,15.868091703724804,13.837041409898497,12.235030905535288,17.306965657407794,17.683614777456597,20.49469704398706,23.66072428530143,26.575246366965768,29.08232288252402,32.52496057100747,33.43977908218574,31.776942155042565,29.85600107260433,25.631680626625226,27.281245047432023,24.36545975441485,22.79703195883767,23.377499202700943,26.530502206530493,29.156083102369887,25.709379440804796,23.61341853345228,25.27560185334879,21.58875305133175,19.7701867948609,17.27001809616047,17.405117281784943,13.447932204597484,15.657020665565495,12.00286054407002,15.975489660339235,14.564357768698235,13.54954444462755,15.136419626879999,13.700013665117705,16.89917495709463,16.900699296016686,20.19889988186571,22.184910684912296,22.875242153375574,24.765377008707897,27.673123044229044,30.789308360706197,31.201040821273928,33.63057483744747,36.96839302069855,35.52513324989381,31.872802234255328,30.812798625918823,27.57944472655527,28.505575079671832,27.7584676950128,26.639371142236833,26.18778347732547,22.896761010356947,27.742073925211596,29.173139731984953,30.69097402239193,31.59399840496077,28.120411518287575,33.69301006235159,36.813138808638534,34.348191066154314,35.83415283821932,33.77732083974829,39.14165559135135,38.6414045462579,40.49065183383472,41.52706227890478,38.60248934121994,39.22109707652671,37.36165823119148,37.68209949160967,38.5659806787449,34.78442709762615,35.16862408911814,33.50177071879516,30.33578278392321,34.16680114546637,31.395793632670028,27.917632760521897,31.198658169482435,33.27131507361193,28.806213850973766,28.4371231425471,32.20056396448031,32.25204474165514,27.389669350183866,29.79338781894231,32.374711781087946,28.652766796155014,27.608654550682246,32.2841975409121,32.57509865419283,36.63792141998772,37.78283365949825,36.771955285407024,39.544705948894006,43.8780284369632,47.80114559332742,48.63486341301477,47.27377619962705,45.66040123247842,47.10173983724448,43.63759292667514,47.847410209902044,48.14056299263298,41.93850424240662,43.41374649862015,47.67938912158184,44.501568824191146,41.493078509225214,44.28426657987237,45.70605254007179,41.863350908443365,39.379589980507646,36.68290673411136,36.57238304526146,39.601534552574556,38.914308871965495,39.135186987173206,41.03299930186387,37.13009406533116,35.19471900220859,37.48967641499618,35.80030876106244,31.422883007967297,33.000882328269455,34.24971230395996,31.655340061815888,30.611690442895927,35.60716567544696,35.057880945109396,31.068813072852038,34.31059399320804,38.145541908586516,37.837018529754204,39.918332878774024,38.251958142144254,42.35023539924384,42.103893467465866,36.8097211929808,39.66446132395518,42.38804654052369,39.76809923371571,37.760603404421595,43.75155652219629,43.80067827139398,38.733432934290256,40.136027295615804,45.334803292485674,44.437840873592066,40.655437848178416,36.33997713965714,40.91409855025849,37.263256084002066,37.802820755363136,32.36623995228331,31.08084679133996,26.51187037273755,27.382493009923827,28.758574485975114,32.05087461833026,31.595224336412098,32.46451156803443,27.008408533500155,28.03857825067098,23.476374472899423,22.357430671708126,22.96503406124261,23.609087686464665,19.178306390669523,18.820587473988933,20.495709521737414,18.23428787574451,14.310785246873245,16.385405057355072,15.934158475221208,13.971003090029363,14.414365197707502,15.536467410299272,17.909472912361412],[25.687251949193694,25.340153820021534,26.576414637093468,22.94357802787782,24.528022583269355,18.808126049866225,17.152975097182715,16.277700907852623,11.59675924591594,11.754340091980197,9.410076130654085,10.966416289413903,14.465970809995053,11.81940468262835,13.412004583481941,16.296291055274068,18.136678565680626,21.05898447768988,24.804196736479632,27.502357948981484,30.752873492131116,34.99271155424578,36.06280786627712,36.843761097150484,34.31850554436563,30.02824691950029,28.64029785482254,24.485652497008996,22.79847638307513,21.228688615678134,20.118230004786287,20.806316972581154,21.88378440058693,25.69702620568754,25.664491481174228,25.364960331343262,25.721126775230964,28.48998137432782,30.1721092154483,36.171356238626785,34.25439036850434,33.129120412224864,37.29060359861045,38.68330966739349,39.941838912778834,40.52591983588103,44.06944123390064,43.239637164146686,40.979625038486795,46.32000695149058,46.81318448434427,44.223972691804555,44.86472066402585,40.091991044472394,44.04572582788091,45.55318697061538,41.54186158233449,40.6698396111906,44.65906413344231,45.9131451271555,40.61899423554306,39.36127133335167,36.10339844304633,38.50236289738231,37.77330157407563,33.806861595723944,30.247515902809877,26.250288903071223,23.9867135377707,19.88329537558551,20.049134797239734,21.170104095817155,21.878305372743622,26.530059598455733,24.988795404992636,30.478438182451434,31.214773674562885,32.635866799928145,33.32648279878978,35.97461195577287,34.667682458640066,36.62846855685484,33.87937502079653,36.82367615935991,34.77862667448634,31.384713553170343,31.978599809032424,30.69604117791279,29.592518666899256,29.89309738017201,26.850314168723862,28.082340735883292,24.02280559622465,21.659904468946134,17.661287687367125,15.87584350956964,12.40926640962418,16.450914052727086,15.334215673070448,17.615661504243928,20.886624156775156,23.170879509536807,25.44190334426308,26.691836765059463,31.900550473977297,29.47653847565511,33.21338737417265,34.687731569777426,31.955192447050216,29.30567907860049,26.030819458832244,24.449682618516604,19.866287134148536,21.244028314440115,18.121748637047915,20.378730461606082,21.2397613194085,24.49400313689356,25.00608592921248,20.79044838264651,19.28573366569732,16.791636519074494,19.14811767026966,17.842970177608457,16.93988445018237,22.1655556456443,22.876785374064607,25.64973654706639,28.84442810420756,31.631163810658812,34.24826858619952,37.68163196546457,38.48762983788186,36.71757066921628,34.813926844373384,30.54352911843137,32.263660673969795,29.041272998904752,27.12519096480824,27.69095080446599,30.27276238143592,32.5494395876776,28.944125825997006,27.301548206673978,28.877996744530805,25.13686343509461,23.70048400484709,21.44537387928841,21.999426982413148,18.24748537065083,20.451618105253317,16.421034775651577,19.73935571899946,17.32037541342405,16.03602741594548,18.339425416209103,17.391182578172558,21.085384224301883,20.801497553594512,24.781000545493775,26.747721866605698,26.807306501337887,28.91207270134279,31.596837008529445,35.01217416004923,35.4380134726384,38.167637293962514,41.425964798261376,40.20138652765187,36.43813717756577,35.54318587005754,32.15832721412248,33.040667759057,32.19391251175544,30.82742520337038,30.306641150842434,26.61042722992657,31.31202592803901,32.95980488360015,34.73402505099639,35.86908548172531,32.75752439247634,38.36677601801042,41.46258730135502,38.9395656258833,40.00045228248525,37.59481685508796,43.02165618385857,42.48722147963301,44.66074857261428,45.90481072851806,43.09324479962898,43.953368555277635,42.24375429882718,42.68678078355558,43.66727378660717,39.89233800897891,40.36282044812766,38.70048848026815,35.54939101735924,39.32990116336858,36.491345264515886,33.0615482476389,36.27203708574428,38.252773226612256,33.7064575237895,33.30778068749111,36.98293088767672,36.88764357869703,31.913972079195915,34.20495448001017,36.65370084569837,32.76633816189212,31.5994911289462,36.200520561887494,36.73973689455299,40.74917104433637,42.15428977120048,41.334305759009844,44.035078422275284,48.54662872085436,52.29915926117151,53.349000575578835,52.06714495651173,50.594683608327045,52.08872518443511,48.67190649130706,52.94432535377188,53.21942838452029,47.0477327065147,48.574410311831734,52.85411157968178,49.646217012855416,46.680332973188385,49.489532795604774,50.85390594330228,46.9759908298826,44.552204459210316,41.86158475311575,41.77661806126302,44.78246328837163,44.01305748683083,44.151172303309906,45.88090176956699,41.96889994457616,40.20557539364973,42.31315698823799,40.44849203443845,36.22743703308673,37.79922329155094,38.748913668551005,36.01538360306545,35.11889251522644,40.017829963885255,39.17764842538209,35.0886525283345,38.500187077430056,42.33508992274871,42.25700139114056,44.49997131765511,43.024804628342125,47.18811525754989,46.78829061825105,41.5866702332164,44.62172855195708,47.26333856686647,44.56941653972406,42.750372868125524,48.75372711908217,48.638799090068176,43.580350637717366,45.15606217863758,50.29424550932862,49.22461788727203,45.41202694042091,40.99128467155242,45.40537683360765,41.55623449058902,42.07503917731321,36.62522729594937,35.62591658321638,30.972167712476725,31.653833090801324,33.30053497059526,36.56275538231483,36.34343758440298,37.414475948882654,32.05068806776805,33.22320341421849,28.664701229012458,27.323725322960914,27.981416319465875,28.347520081740235,23.976877572586712,23.821632951861293,25.070837334358163,22.5178664879468,19.16171249014997,20.367949748630352,19.45709807337935,17.214586539579695,17.624077286962972,18.138856378696925,20.284199330593303],[24.694858069501056,24.579200787102298,26.243217383465232,22.522417641919795,24.949035899884798,19.238025966645694,18.189404097020144,17.998955428916826,13.307201247833726,13.77869760166313,12.084624511264046,14.068378271148418,17.20140578175684,14.105895519938965,16.310956626500147,19.303248878220867,20.63145399177544,23.58906000674415,26.90370781329364,29.922120822098574,32.9943334434516,37.35011379753941,38.17876780713179,38.73027025150815,36.35564610952474,31.963380700853648,30.776731888358913,26.662243467298797,25.39460821875173,24.150859572629937,23.16167039586646,24.083137237935425,25.267851341207876,28.9816469210018,28.892633231212585,28.35328942987448,28.81769930565904,31.230907217255343,32.705955893200056,38.83255765455688,36.54244301743172,35.52343246950203,39.78625637755505,40.94618679763866,41.94815890718666,42.401060428536425,45.906728425211824,45.35279472022143,43.13651751732734,48.422053662138566,49.159666138756336,46.66718692784001,47.46674354841798,42.7029278009357,46.88481563594252,48.305967206455335,44.24317635067064,43.57149884625659,47.57763734287312,48.624070984513835,43.292775126577595,42.138188854378306,38.950977082181474,41.08676178280707,40.30780124754304,36.46022112750593,32.601047604212106,28.796428855562095,26.09266416660909,22.169206283831052,21.895530346591382,22.741127657314347,24.013709726736934,28.694997199792525,27.61573929036048,33.19739641721292,34.055398458612935,35.668772023318496,36.391591335737644,38.990070608796465,37.79471223480511,39.61570766218813,36.969319502052386,39.73286832862467,37.49547473921898,34.27991387863111,34.859309765891226,33.83816128432079,32.55761272478723,33.08812546232217,29.88938421367574,31.00681858771958,27.017630457624485,24.844002957902784,20.871448615298995,19.019398574774904,15.587473989304142,19.86460327359892,18.71414337026238,20.85416477866946,24.207714077523068,26.209118285586804,28.551020469445525,29.471532148253043,34.564848060977035,31.804083622713904,35.438770424230654,36.64858520140234,33.6273230845397,31.265854078469502,27.638876728568146,26.34113333437882,21.659861941938882,22.93887890970401,20.006715884145247,21.842497370184216,22.996121990268886,25.845802967752565,26.6043947981471,22.74209508792031,20.786027191254576,18.320615675315324,20.056299602509604,18.885039073130564,18.017924044468707,23.31079178945659,23.987389098337463,27.078973451776,30.359314845871328,33.532576836789445,35.681513036035156,39.33357863073496,40.20141898662257,38.77699870904009,36.53463777693021,32.21542715230771,33.42040648636926,30.19881174329094,28.110447366356276,29.155770128473474,31.40553906910876,33.966382483566704,30.61257253687514,29.038813001273347,30.943494519161924,27.475627113512775,25.812206409677817,23.82213578822673,24.361987816614555,20.547390164587476,22.738674803710712,18.818053532390387,22.240071398785908,19.541195876203368,18.86420559063013,21.311546542825326,20.37245644141802,23.846882169139057,23.706667545676567,27.302135471264737,29.018091894556353,29.34691095336563,30.94962733257847,33.95538630601629,37.0442270273539,37.03253127775648,39.843865998959814,42.89266529421565,41.494521017923056,37.66796891942433,36.981598947020956,33.751402261586286,35.062349646978824,34.504295150397404,33.40910977971795,33.08473504665165,29.53291699197177,34.37217026345209,35.81658249801242,37.54261021632559,38.37902764904617,35.15507385014327,40.6678452041551,43.69758202831787,41.0896848394349,42.33877950344606,39.98312753868212,45.312419013744076,44.43802995892759,46.687695367437804,47.79087596828762,45.06770613742762,45.732469207520786,43.92471294500679,44.28232579051346,45.057157750879554,41.095063791417324,41.62982142306795,39.71680268135372,36.814676161087455,40.464843542096666,37.82475582688984,34.240742118876646,37.058565746755804,39.17251756767165,34.629757635555556,33.72180114579839,37.43933764090802,37.64082491119291,32.32684063913561,34.31972548230747,36.86478355024993,33.06962908279799,31.445268761529356,35.92852859125534,36.480696813731214,40.65199876444257,41.87489608118086,41.4016145347524,44.199210568509116,48.848313558221626,52.50238198979633,53.765857452167864,52.80881407704568,51.48649198917032,53.207667271007274,49.992158914155354,54.247487014910256,54.24205408326413,48.0451101691375,49.823349922924244,53.91849288912332,50.48249363106984,47.67671108767997,50.61674055318386,51.61094596464569,47.60708008161057,45.52426683979543,42.76494082720077,43.18656493507631,46.21881598620499,45.41133142543195,45.85083191468517,47.62084718022688,43.894627598378946,41.85304206820353,43.82153010893685,42.214079558758286,37.89533713599992,39.10196544699045,40.120379420113174,37.39471762154851,36.18113847133818,41.0326373206946,40.22154393340664,35.924486562338096,39.11660287959031,43.01984247862876,42.89060352060247,45.37814458634234,44.11023845623154,48.22304008692637,47.49601867584157,42.25514089153804,45.507627416383286,47.87288410160155,45.00346298717168,43.343036797878675,49.353561698878124,48.886504252459176,43.776977042558705,45.59990024322336,50.61573816291424,49.23677615163854,45.362389819924466,40.81463000925279,44.981771683544856,40.91768210764526,41.522410168413096,36.065947213266476,35.483801748452734,30.846618891975837,31.129301160130723,33.01913636216812,36.19006433719514,36.28181734725825,37.71094664834791,32.55880205718982,34.15904837487378,29.647424344483625,27.906835675757314,29.086566354005058,29.358067842590227,25.468883785433555,24.852821147143235,25.58559706746448,23.292237000991534,20.182788745214292,20.380238384271138,19.78846304900674,17.99512855264175,18.87307134026401,19.39582714685828,21.44362452523543],[20.298720645478358,20.42863045605626,22.102824616788578,19.24511759367637,22.011684264941373,15.919738901033371,15.74040631218682,15.462856330299951,11.369392103686979,13.517940592640294,12.633234979117944,13.902018301718629,17.571424782257154,15.450519562905258,18.206649975804535,20.687548878395692,22.03992186539662,25.653334900856525,29.33441402094863,31.92491799995277,35.354580205803295,39.47699375694336,40.59572149825973,41.01170037019361,38.286841907460925,33.997716429765546,32.2933139786961,28.021556644403645,26.789946310741815,25.095898362969614,25.239829122980606,25.067106830085667,26.614242337868845,30.77318314812443,30.310213390275123,29.961216668120894,29.62676009568983,32.3725735394077,33.61774478772157,39.52408031325762,37.49247507301678,37.069873920277324,41.32985594511473,42.33973654483247,43.44197522422637,43.55091437581804,47.15310028964799,46.69936389999567,44.03447258963324,49.231636217914186,49.99446963267033,47.45214922385395,48.456701129902044,43.5808397405671,47.79524916903881,49.60817196813322,45.6620143232579,44.930528548042,49.12782915086642,50.356959181706266,45.24876857152004,44.40689563288164,41.32739885168903,43.797746747751475,42.729655172684055,38.674162861073064,35.34547085940677,31.405570542578747,29.109949431328097,25.24639953238305,25.20934096948958,26.58607332546062,27.597549292709143,32.125112905623986,30.5820017090903,36.24004276928128,36.55389154311264,38.064596838589516,38.37750968174807,40.71055621875054,38.947235778151715,40.41831271081536,37.25581065696737,39.79763656851953,37.70969435281479,34.7581476918621,36.0150244113352,34.84165372525341,34.315986258985674,34.96023245086558,32.22804807325396,33.84376316760977,29.760479532307635,27.183089043531993,22.988765499079665,21.558503523009353,17.892998654968935,21.06066880769064,19.064255678428868,20.143213574937086,24.09552761566889,24.940954823420668,27.996041343329548,27.987327270431,33.11716772804156,29.939466505984537,33.13974713890148,34.29905032842483,30.984774231533418,28.705084668813697,24.932945561343807,24.474793966174623,19.92615728603315,21.96656545337735,20.032202644413815,22.147416067669816,24.066088512934574,27.041210028430445,28.709631937044882,24.786131792190456,22.8149774024002,19.829700672291818,20.937134436706472,18.998857355674645,17.1408134817626,22.108768159774126,21.597173185801598,25.13829002297703,28.189531358541597,31.650684361015433,33.54967038784532,37.09100970375273,38.450454118236536,37.102451941229205,35.09613271575975,30.95086642425665,31.82901640907629,29.30092714681912,27.712198092027595,28.961276886464606,31.862007871015358,34.891161414748964,31.729253647785104,29.67018779636779,31.630281118927385,28.13842026293876,26.12525821964361,23.705789373903883,23.5031002927047,19.293994027728008,20.64247526712973,16.60172276239172,19.739454081200474,16.656289403989522,17.098297091659617,19.81758549600799,19.36692021208298,22.329198495232962,23.127142466107646,26.00519920298941,28.26271951169918,29.39375208201792,30.970032314707574,34.12525721746533,36.91688658682597,36.9258284430648,39.25870800279742,42.401389295238054,40.58389002750152,36.95701195562482,36.03854624881822,33.13091598123995,34.45352971605752,33.905825732507736,32.971113866315214,32.38648505115059,29.322708948829625,33.962435871136535,35.60913349958346,36.920452828835586,37.83815014355911,33.963153667540666,39.494944476323965,42.65047035280125,40.263309767010156,42.133322223127884,40.252106345012244,45.537519174864165,44.82412527740329,46.607361627320195,47.4198166969549,44.49571488858918,44.74566531921045,42.63295034519448,42.67133760204675,43.11231757676938,39.07349854698586,39.208726343106406,36.92870852311485,33.950501986163744,37.20597652019093,34.47177071977321,30.963806625004054,33.54284584104496,35.40722226162779,30.773757353930804,29.927597444778034,33.405503883574184,33.4287004043879,28.04150118206363,29.97333738309817,32.35908876574451,28.491649526090786,26.880531377334623,31.318261909235236,32.0625336913891,36.07716238955068,37.68803114398928,37.19939621550009,39.84079294555874,44.62996854590182,48.11729056787236,49.55909451947498,48.6824433772053,47.57506650410081,49.44785084794997,46.44201909125418,50.81971404254507,50.63555595925907,44.53502292121628,46.575063560172495,50.68033804573386,47.169154574924384,44.56822663563763,47.769157890398574,48.620607435747395,44.54726060951528,42.9303026694756,39.72140849653978,40.4025540951908,43.25758786570853,42.08296114725468,42.67944069486728,44.21592627743764,40.76355416255718,38.617932844248806,40.160781867149076,38.67533000216022,34.414372793256874,35.275509948103974,36.120694307219644,33.354235471908844,32.008973851192124,36.75144915610941,35.85099170514565,31.441120225379542,34.58764575143273,38.49469830066522,38.4648136500277,41.1173640641332,40.09983034860979,44.2404607393136,43.26640150319643,38.14766949433751,41.65757453460157,43.879932312222536,40.9524061221986,39.62672115750061,45.63149910449285,45.012648767701094,40.036252605555134,42.171417547586685,47.060559429689846,45.57847474531698,41.79385051267132,37.20658939295334,41.41554334716876,37.38006223940017,37.589656533923396,32.22212300402176,31.543700961396816,26.798359101931812,27.393864546744094,29.506912798999277,32.85476846982247,33.13695678903126,34.357262375201955,29.394347380745845,31.25378926818924,26.967387992188147,24.357525148722132,25.543572075290246,25.404918406047994,21.965714894012955,21.349382037094276,21.449858889949844,19.024256227497286,16.581948353863872,15.938252838684068,15.150201235100639,13.594300311548048,14.88211432511164,15.517569972579055,17.568480805873865],[22.460623887096922,23.210879951412306,25.033283110336107,23.105345040688483,26.087711153680246,19.818570431759063,19.953389219932074,19.07337004671673,15.330074949232337,17.6813072881153,16.2085782585705,16.654133157522818,21.13642936073631,19.290888666255842,21.220677400769716,23.73050496330109,25.732653002568163,29.051514971554894,32.936782752474855,35.47557405956715,38.885313472835236,43.0302048250103,44.206621447179636,44.86919055633749,42.20663651538515,37.93358745746822,36.28554331665674,32.01952716982692,30.390220535470142,28.3744854925531,27.808757161903163,27.563266356089933,28.433370465534093,32.67667302971494,32.76169164685127,32.90808466120686,32.594525315245846,35.866620843486416,37.40581824681125,43.19862884478868,41.51424348100908,40.83991517292192,44.9987609065781,46.28408740144271,47.54872356592001,47.825312902268834,51.433601344350244,50.77755560847151,48.1736287592055,53.42522421747973,53.988274091963376,51.35959128942567,52.149729407073735,47.291746614129735,51.18284507237192,53.027577579194,49.114674354456376,48.092164977070915,52.179791387129285,53.66631389644808,48.50689102577098,47.291530681732226,43.98764617344575,46.62846062347654,45.88589899228383,41.81430795661861,38.48546626808517,34.41598391551485,32.27952432945793,28.167234198259223,28.319382750318645,29.293984508364765,30.075086683056135,34.774440635140756,33.089488078555746,38.363499969165495,39.12704656061547,40.20238826193392,40.86762879375289,43.50090662089221,41.740659143506754,43.582903316022666,40.2345609257567,43.107358666444206,41.327513610661825,38.11589522650914,39.29873897674356,37.65352409188293,37.2149553636809,37.15287434333767,34.475604373406206,35.633876637979405,31.482589765703658,28.765254594875355,25.00681182649503,23.007071344408466,19.93600516503785,22.875747776954206,21.08723579053391,21.40569486233014,26.2021269006376,27.128080757170626,30.666129337177246,30.83411737012677,36.26083047957453,33.339204202467684,36.33497876587895,37.81115723038212,34.56619678300426,32.031845444947905,28.53269446045272,28.378016120868768,23.974538755958427,26.328034367263424,24.36541841418893,26.689612063660253,28.37751236381681,31.506193490311425,32.77848442886252,28.677076610734183,26.928439934991673,24.095463055569827,25.54776051554543,23.671356738872966,21.780953849803712,26.683939720934895,25.76979998537265,29.348887286127354,32.22584800596996,35.5372978862462,37.647775731477395,40.97131468427337,42.54807729963425,40.94743327531131,39.31801246428907,35.26124727731584,36.28593616686707,33.92467985283641,32.43024963000414,33.53715530842965,36.53095023082241,39.416539343024375,36.104953957793356,34.08853283953263,35.85229670197815,32.14113451549002,30.329647508697832,27.672079264204594,27.34367492174799,23.042774049687043,23.876357501415573,19.380217613003712,21.621483895576862,17.50070037319281,18.221663138249333,21.663879253066064,21.99370733066006,25.135380214844815,26.262659061718946,29.468815617056638,32.23852276313608,33.216654075323106,35.243407606848194,38.14497937689733,41.19665368557294,41.46164725120293,43.715495678415785,46.97031472936202,45.15729750649193,41.58581391563082,40.549457516742336,37.62204528832043,38.68238908933763,37.88504172861906,36.67996990770174,35.731531650637855,32.56237574823048,36.84731543151374,38.96675222352124,40.24429385177048,41.61450403366987,37.65864821009232,43.31399698724915,46.58659693638035,44.34389222678168,46.15501500108563,44.249128514577684,49.62687150814634,49.16691168471354,50.90027894748191,51.78284865752314,48.768042553859715,49.063548827310825,46.92581319011091,46.899636296592355,47.308049220558274,43.3294178198401,43.221253157263945,40.82545393849893,37.666997253289914,40.63571790952008,37.64951261575272,34.37125944916562,36.91942098956328,38.387667264765305,33.64373722205541,33.15336889519101,36.2627639323216,35.78365691818522,30.531362832116024,32.43207327387028,34.41077843920895,30.31233013989999,28.912182665684142,33.165115837827216,34.35199130569316,37.98354597289634,40.32492782022145,39.84878827466965,42.176797123258744,47.16013554064926,50.32201702458537,52.04246240175534,51.14667948850021,50.305935941004634,52.22353342613457,49.341073790496736,53.88629259081857,53.696407190795256,47.74986558382152,49.90394228700461,54.12798131764832,50.664295431218875,48.1904745314907,51.53218363937548,52.41599318456101,48.33633255443779,46.95318247522362,43.45894576102579,44.065834205453356,46.73652329214454,45.20611741524181,45.65741202995543,46.78501323538763,43.44943419354576,41.58396452027734,42.64906891967452,40.918130419858656,36.967766587817735,37.76326491203348,38.069842881900584,35.13414328607496,34.07159503792709,38.571724182798924,37.235620915938824,32.81176693601879,36.20945852934225,40.016991113930466,40.38821564870068,43.19518922855804,42.497670054474334,46.73572936668899,45.57602326401809,40.74501524281467,44.509245326295485,46.667350501853214,43.73798614571221,42.81687990191593,48.78044123720295,48.05853541699875,43.2767307962503,45.69180913889845,50.44816051631692,48.871010220809026,45.19521857803802,40.58379554900925,44.73201193762749,40.667896881566314,40.48290486351804,35.279856985694714,34.613160721028535,29.78927258750103,30.649787336561673,33.02932286551482,36.46974448195604,36.96417509506537,38.015682001208155,33.2178688408017,35.12638119943775,30.999240278696558,27.862510481488414,28.732021618819857,28.05840533787287,24.754022543604698,24.676210636144788,24.247611307850043,21.30944230351287,19.838165319902135,18.52173799392855,16.853175253981348,14.94281434270362,16.02619288851569,15.942601220776412,17.65448028776303],[21.74353492291258,23.08275928480871,24.780391757520814,24.39029861491966,27.393285838848595,21.061381637453977,21.899954565628853,20.46608264352535,17.744150656296043,21.023895758324176,19.747761346235635,19.21037689349809,24.252135086357168,23.296918261500256,24.997620420401432,27.08197059798249,29.468699196816175,32.986925620206954,37.25208922503465,39.379286904027424,43.03054816997284,46.963475426791895,48.42694700603996,49.17951532626861,46.28542816561852,42.14827286138105,40.14499839297177,35.821936604019186,33.94441440839747,31.41967770838414,31.24597246496649,30.140754732625567,30.831823638851358,35.361352855988386,35.498226951576264,36.117953989186326,35.21390929764412,39.05184777722834,40.615828531726784,46.06794037165499,44.892233673879524,44.48966205044068,48.52485848997303,49.90518425848881,51.38953621660017,51.54185922566891,55.21141242386602,54.44681660885267,51.55444995520346,56.74990030770836,57.14377809797279,54.416410052825775,55.18462990202454,50.29261565464359,53.91581532519202,56.09193106653531,52.33734712394026,51.049328218941085,55.17786473697779,57.003235283133996,52.02788398253698,50.812395615834326,47.47164135995002,50.49787705704742,49.74563714363905,45.51958273227695,42.665225435252516,38.43248943489907,36.76349231535748,32.57693319233254,33.04665224973249,34.20584736169471,34.59906649107319,39.235789895809,37.08507479632522,42.119304727866016,42.70520134829191,43.39799209343023,43.945252084615916,46.5335882293112,44.33697110855065,46.142708921654304,42.302054997179724,45.2051501731364,43.80885244407007,40.65117037466138,42.28637435863996,40.210029191075904,40.437096871973566,39.997052170471115,37.77847476307911,39.04637056250519,34.850158302203496,31.792497148050046,28.229176539616674,26.304916435462836,23.51157956052646,25.382682227854296,23.197420547979416,22.17010766004551,27.741790128777236,27.785419228561448,32.09062214638337,31.685321791584656,37.21630266361147,34.287392662948385,36.72089414154868,38.414091553166784,35.12979391324813,32.47988360669895,29.269561382470087,29.93461808281749,25.936518985753278,28.9605231488764,27.692542147182692,30.331185221580977,32.300212393251535,35.62826648455187,37.2243316631234,32.96626654131084,31.42412427095292,28.38808405179839,29.72301902227577,27.422313587313067,24.947457225012425,29.392850109915262,27.395567925068754,31.12815209902279,33.59908247928402,36.85348324094511,38.97895100206977,41.93845948227757,44.019213302928634,42.24838251339258,41.174857819773486,37.40360255634208,38.38051691665507,36.690895721784806,35.680054603068875,36.714493372498794,40.25303884102555,43.28901419038714,40.00319103205466,37.685316332100165,39.27840675775654,35.42833562960613,33.57193896080329,30.490383711684814,29.560263838729135,25.111230053086405,24.9083513341255,20.27555558454019,21.40138487701742,16.471840165556504,18.29406691729188,22.203933909439684,23.45492500647782,26.17166074232846,28.177151621071477,30.99615214575805,34.48643250779099,35.887284753974555,38.236205038230686,40.97327840918439,43.99277323835062,44.53318601180687,46.32768776618698,49.74058481751143,47.673697214016634,44.350842275941865,43.02623247995394,40.33793479819637,41.122456137174474,40.12084076294722,38.828261762025804,37.41686304259314,34.61073172609117,38.37160880300923,40.96243138374673,41.87536970605113,43.653241927669015,39.22828209124113,44.900852639814694,48.320910890072994,46.40066948126754,48.59032675128652,47.045858504800584,52.41507843821594,52.32459881452002,53.633849941602485,54.362273400048636,51.1391903784219,51.183835168989454,48.838211103256285,48.53642286399831,48.70374416442201,44.81472974719959,44.19841483295724,41.53127995727159,38.17632905231125,40.57590865625383,37.326571752904705,34.41239392130077,36.782300728356404,37.65841581255108,32.86369384904403,32.87434060138108,35.3922888603901,34.26727476260791,29.312575651852462,31.17403351661838,32.584781189388316,28.300460657721498,27.301421750526455,31.27250637807951,32.969158174086076,36.00557112693903,39.306288630234604,38.71639846495042,40.58072066263546,45.722670151821795,48.471234649505924,50.48128538548477,49.54882647783224,49.069621044158076,51.063151308772305,48.4349555665916,53.16354777588319,52.89950494773637,47.23494098936458,49.59672729933132,53.92119489574743,50.53669450472364,48.31568507406743,51.898592858025324,52.783740075897185,48.730176278825304,47.82077417674631,43.8228326726278,44.43979138922893,46.77644542328294,44.700545763756026,45.08699501938633,45.67003333947121,42.667361564106784,41.033319571009585,41.37244948516892,39.51676449805782,35.97331829186369,36.492234504004166,36.17845606656681,33.126252309270065,32.29716030733973,36.41118295822521,34.64054798384321,30.25449307041595,33.82332288878715,37.46020497825444,38.268373055562115,41.22961440164061,40.963727962383246,45.25453355268527,43.84416096748157,39.44203679991092,43.502551085571135,45.53832583212416,42.65710509319756,42.305538992841754,48.13941144068815,47.32941853538889,42.89979812877899,45.67447023998868,50.197229733451685,48.579771810676455,45.134542239799124,40.59249939644219,44.74098643233992,40.82303193842886,39.978416777499696,35.09396714851203,34.22750656491486,29.389339269451476,30.827599150231002,33.43766207281725,37.03290810750997,37.72637373112466,38.348446893436325,33.884561594565284,35.86670404145326,32.14031404171223,28.136514188585128,28.584861346212204,27.178266449028076,24.401711627094084,24.872848297710092,23.648383291833852,20.24931773983124,20.215009881686328,18.026379859941414,15.41568144146906,13.473924412433552,14.495944647195339,13.79880578538334,15.052442909735136],[21.905822207062485,23.537107055147004,25.801114959495983,25.13306631534796,29.00935267837458,22.889961982640052,24.09373241036888,23.45560786070283,20.40157493038708,23.397555447174486,22.334623244456537,22.555814766749965,27.142067278373982,25.470222062463016,27.600789818604685,30.012314848994627,31.95308490040482,35.41352934370116,39.2514241949942,41.8036271691869,45.23469169714966,49.36861539849717,50.52905735860581,51.07812588104461,48.39672598719448,44.111159624934274,42.40634983506296,38.11822219793487,36.616227809798346,34.512138740211334,34.17042736235183,33.635323894683644,34.434267897997536,38.79465879689619,38.92267022245913,39.197315069349116,38.636868719867216,42.02291378230661,43.44384617145268,49.151880433301976,47.48518069247936,47.045304738388324,51.223679903947655,52.39502899936923,53.594534219504176,53.68792494098161,57.30525867808994,56.808474950301225,54.05584537849722,59.22971009659076,59.893469561740616,57.282882987934926,58.18911934480103,53.29976846746176,57.21260929772889,59.197824271070544,55.32105504096356,54.27928811311938,58.414041492404564,59.95954705144935,54.85566572362435,53.68301555388791,50.37275312131904,53.05724320625105,52.300493621707474,48.21175364654028,44.90284143231137,40.845879494996026,38.651477266439414,34.570172331680546,34.619165932953166,35.46728176934694,36.40440217086027,41.13425447925875,39.50366791367807,44.70460298517984,45.52154430826042,46.487427136320065,47.1557205404051,49.77090785442088,47.83620488219065,49.58279677264627,45.99466481647654,48.76834810109555,47.07709600491314,44.01465004945922,45.45399482532626,43.71588175831916,43.52403406782616,43.35379096266541,40.79675147019442,41.88365455913412,37.72154938662279,34.923041242799535,31.285355535887252,29.20084955994093,26.28485903562709,28.905876951086004,26.920456009459446,26.447330398252692,31.733822807378694,31.972065718551043,36.01911533487836,35.59209730821045,40.97749980001981,37.77329142034022,40.277484563666285,41.64079513243591,38.10856213560139,35.80030692850012,32.20573761408861,32.86431401518686,28.682132961234966,31.360934442690603,29.970992321640612,32.17683091990502,34.241798135598565,37.19054564127905,38.82971825442982,34.87062214806982,32.937608350533,30.015838256507717,30.962935886112863,28.93665927213635,26.72284497929218,31.308936721033206,29.628859831916937,33.5621571437706,36.20828999700711,39.820992904218414,41.476795045376505,44.73476689936935,46.72879721539939,45.34576288088727,43.79107799548516,39.90336393267356,40.4014236426245,38.53548612991201,37.23235996953539,38.704241556009684,41.7629986552038,44.98405266923867,41.89646564702351,39.74743757283394,41.664117413757715,38.05997176945356,36.05193488589253,33.327890245916166,32.6314039865894,28.209513729426348,28.405372648182226,23.986387234438673,25.597730797808687,20.90257131872549,22.68194610000966,26.432099633948898,27.284644930652277,30.019743907407236,31.75733268739834,34.45199181679664,37.47118728408772,38.91988709216661,40.76225104620733,43.8215436411177,46.58640735079041,46.64879070433696,48.66071858265805,51.8204848407807,49.66308479163105,46.222176720995925,45.185633184529856,42.57647363604461,43.82855963966016,43.14367795408589,42.10215189314801,41.01275925976276,38.1659642243688,42.240302757815236,44.5109502099918,45.520778105931825,46.91404320947935,42.553403693464354,48.12928012612578,51.44018564224382,49.343383006147306,51.57697719442935,49.945714946924376,55.24585276102297,54.73194868779748,56.24952714308751,56.89477022980923,53.820749271204214,53.75362733582161,51.37663875200929,51.06741804664237,51.086369352716346,46.99698539303627,46.57784083934237,43.72367637715876,40.71701159515472,43.07994265567819,40.14796952264002,37.01612961039038,38.9467816708719,40.08622231480573,35.379532601131366,34.6792993563002,37.30948530227777,36.688560662863765,31.347220803523307,32.77823047865796,34.36879836336377,30.330588926464863,28.659315753106803,32.39909713511033,34.03385634163408,37.31410156919887,40.20736770848777,40.11489238710202,42.14663199888615,47.394732786079054,50.037235797158935,52.278993083479364,51.780774483796996,51.43434194059422,53.67619232017078,51.25919161027751,55.89802731183,55.31705075186964,49.61260328252128,52.20838893605905,56.26964222727066,52.62286611223589,50.55613576532576,54.21473534693733,54.66512129759574,50.48599087735769,49.8790818955684,45.94274198329061,47.11603545962062,49.54326476864796,47.56188813735306,48.29395655167816,49.037984059615496,46.18762950835446,44.21329550590941,44.55508268369988,43.037453475694676,39.33799420815105,39.49813969213619,39.395938714354735,36.429179899486364,35.186831746793004,39.23722018204158,37.606239255843484,33.03797363151319,36.21278750455346,39.90147426276898,40.567149168182624,43.78073701762923,43.701622091230554,47.87357544522889,46.10929755887817,41.641271564049205,45.87219647862943,47.564571094497055,44.48145240320784,44.23964260579616,50.04846833809071,48.81246933155344,44.30794622174614,47.30453520529201,51.675611084860634,49.68193420184202,46.15510568244576,41.48871192271222,45.261753245311645,41.077918752249026,40.43190016534745,35.57370886151057,35.312964203983235,30.59254801400563,31.393909788425308,34.24844865169058,37.6461859246856,38.69547394734697,39.81943688829323,35.6063238341887,38.02283440231095,34.299373724831895,30.1315034933893,31.2506525079947,29.938141250199767,27.631646136274558,27.461079435512985,25.85941471127833,23.00214527740101,22.896967123502748,19.82015447138608,17.954374461239787,16.766838779903587,18.281430507814417,17.818025638342483,18.907661319738512],[23.7480104172229,25.761525367488204,27.902460016329687,28.164160693232922,31.94242818480933,25.83621684690091,27.26693665683468,26.210647833390805,23.61590622576281,26.915117118695342,25.733745723426537,25.38813626827932,30.358349910278573,29.11483439933263,30.898743545768088,33.134283027410696,35.43370960315382,38.87506539651253,42.95531982526921,45.29822896099113,48.83260520755937,52.87439428034086,54.19318789013345,54.88228361800808,52.113312930210185,47.89514944599234,46.0482793145827,41.736702884300875,39.98273497742204,37.56543265669425,37.15391303144088,36.24666710369522,36.74220900672548,41.207255398826725,41.54189380835301,42.18385850441587,41.38896162752409,45.184883659946195,46.72534882942481,52.23569317843705,50.92838271869193,50.505823312625346,54.586442485051116,55.91064023686906,57.27990408515244,57.39240463358306,61.04220274221603,60.40319090835821,57.547993014490544,62.720158929139366,63.21791602799175,60.53053504093625,61.336148146245655,56.44706866900168,60.106632231522354,62.24683848990816,58.46025636070806,57.1911978769836,61.291699768520026,63.087815887447235,58.055379115140546,56.74536460197772,53.34366320303403,56.26420588572216,55.62260220939623,51.46128977788547,48.37793689381053,44.20520756883944,42.288886494521115,38.096868975133255,38.362474778002905,39.18683866749221,39.84882126520157,44.588597410158506,42.69227570103449,47.63658172440068,48.519307903009704,49.157240290834146,49.892920654010446,52.587632765068804,50.47046682962695,52.33507148179366,48.48382025653276,51.38678973702796,49.98223126890183,46.850187613965645,48.44534574154672,46.35892186648012,46.48281149769343,45.90240104620694,43.58026004955883,44.559582218175045,40.38315307460023,37.41508935968374,34.031845715382914,31.8361055045289,29.240957880610456,31.331923743466607,29.294085644888142,28.088665215909682,33.83353847129622,33.76262769867485,38.216088698395616,37.646380426414986,43.131621666225655,40.06482926071687,42.25109014771423,43.825483029388145,40.35779627571206,37.91466105701555,34.60169565869339,35.6399155205484,31.69358773409651,34.7029369168752,33.5374774576484,35.96015042457096,38.03628862030887,41.15286755363748,42.77492305341773,38.66351214893646,36.911617178742006,33.94565722838974,35.015265367488304,32.83355112634448,30.402456782384863,34.801456673189044,32.621699794263165,36.5598471440527,38.96681828117649,42.44627376517906,44.21418405091631,47.206863125148445,49.47202022161742,47.905525576609236,46.746465436266256,43.02006122510993,43.59860700455515,42.052393830349175,40.98299681260043,42.33233765396052,45.6678022047929,48.87378476688338,45.719735985058044,43.45866836813971,45.215394681465824,41.46599403746982,39.525398385813396,36.55096653652835,35.59562346789554,31.128513479465628,30.791604084207954,26.263022026804496,27.12883102702214,21.993241541655202,24.16594595381772,28.19089704168763,29.613150475138152,32.212111891930945,34.35499342479199,37.00854663244558,40.473898382206606,42.00994790512504,44.16335846194364,47.04066809948274,49.90335938594823,50.20520739645694,51.99505543774366,55.274878352571434,53.035348612868965,49.72444936631734,48.51264994851303,45.98060518078702,46.99261044204666,46.11827046745649,44.93201228727082,43.52395350158424,40.794948625054765,44.498114334520686,47.126783963412585,47.97310736760567,49.708482373517555,45.157932789821686,50.765202087858675,54.172696264694665,52.27538522731978,54.623650882392454,53.13219467547939,58.46008652271733,58.221377531600965,59.536089952214375,60.153197838838764,56.955835849716024,56.81917919126131,54.360841951586856,53.92270480715878,53.84690544833429,49.84773501304507,49.12511441195846,46.155591815069904,43.00264501256456,45.00840000646522,41.88468309974601,39.04252920613573,40.896851966034006,41.60389457163389,36.90479432719423,36.60705093594809,38.79323275528674,37.674083556880944,32.65632292962327,34.04479696143066,35.166511385820385,31.044954110438088,29.720628217390722,33.15157544718887,35.1725568351177,37.931289273643564,41.54631360256481,41.382252776301975,43.03174900784934,48.359754980810266,50.644831925770156,53.107704797298865,52.569951518734406,52.49761204937214,54.759111085417054,52.51680882292261,57.27168528939319,56.678254815435864,51.20897873783995,53.904299784520454,58.0444225257643,54.49322004057798,52.58901489289253,56.3737358281073,56.866719509329684,52.73284477249985,52.39146815541369,48.16437055080563,49.26244589325928,51.45539719544619,49.115883802873256,49.735095365576335,50.06216628548009,47.426552918567864,45.70220713155511,45.537436005191424,43.87042096989073,40.534053083090654,40.56600945824474,39.96331491468656,36.930328794104426,35.95062710890383,39.64362576624877,37.65042391415062,33.20869849494416,36.503213628231414,39.98997777118343,41.029455037846866,44.32035648142379,44.56549697496667,48.75352353191034,46.83450000134748,42.74616728907714,47.146826969483726,48.75765159610907,45.7429553784407,45.91061782866317,51.58754100311067,50.307770766022074,46.09043912832807,49.306041823703204,53.49572927275846,51.4872543968997,48.14462696424179,43.560509619758506,47.29070426168172,43.22951726845881,42.13139407113024,37.556791508672205,37.17715619495288,32.51091663262498,33.68126021138683,36.65401285505092,40.11461030257196,41.279576123565825,42.11109343948818,38.1197216626183,40.514785618233866,37.03560630951247,32.44595315674198,33.21719309741704,31.445744257551254,29.421754661393628,29.691222316168467,27.686116706239464,24.54478910914944,25.28209782104195,21.90026749905076,19.45731515746961,18.21559741381546,19.501888622222385,18.60124879283237,19.235499045487433],[25.11539960281023,27.49056857917393,29.959343474942106,30.501324517087667,34.85480970724676,29.01745020476873,30.84598678045275,30.206559028488876,27.647367927713972,30.93615770458383,29.94339220801169,29.883789919267464,34.66271198365216,33.14710735340171,35.17423313789803,37.52887395881791,39.60135103926505,43.053925002226734,46.917385319818095,49.460143842458244,52.894239903939685,57.02532199839154,58.19279881555471,58.7466673775976,56.07717488808667,51.79055741704667,50.06987178058001,45.77420226309311,44.23377461870765,41.99105154992963,41.57383472525201,40.851209212323276,41.39106683647302,45.8070249871478,46.138943042251505,46.64858768835665,45.94429073921109,49.55411528699891,50.98988265360037,56.59334347695119,55.056674833271636,54.68874175427148,58.84322256021221,60.02979439072707,61.23962997603798,61.26684539329077,64.88926170998887,64.43110293864939,61.60096913430231,66.7335028371321,67.39650747874603,64.77113472060809,65.68278266040771,60.78377142809874,64.59273799377394,66.68420308243162,62.84758779684204,61.690301650203786,65.81301373436973,67.49024682448163,62.41307138220034,61.140596120764776,57.7544238643882,60.52193779563496,59.87006033691672,55.77099449224392,52.47947802371121,48.39775275879832,46.220416768714294,42.09626712792623,42.13869201647449,42.78780051501523,43.74433394245432,48.52262124483928,46.89065481487001,51.89235804616609,52.894648599593076,53.63534522695267,54.42449735549166,57.12230419069504,55.077593389477634,56.88109944503431,53.0824316161203,55.889339754440115,54.369183956142415,51.330634539396954,52.9084572219907,50.96023903651157,50.957416188391846,50.48249269042706,48.03599147902103,48.916690377874765,44.75938508969743,41.895433122896264,38.502585460456125,36.23081984771893,33.60582833922873,35.955396940900414,33.95326026464177,32.82707461708738,38.53351559783053,38.36917366305575,42.822533784389215,42.07809390906395,47.45843657777112,44.19330852891007,46.255284866636366,47.62898845841535,43.98000400879744,41.785711107225126,38.29709731794154,39.54976154643815,35.606920005146335,38.523484723002476,37.45704858723381,39.64207699156611,41.854276200169394,44.73407072008675,46.47667926904938,42.55390769006711,40.57874250235469,37.652812071096406,38.40963530372994,36.32862104634953,33.95412241678863,38.29248304797377,36.070389967481624,40.15842603419361,42.5595596414029,46.27267303044652,47.66766278102279,50.76257704977141,53.10674201230183,51.80188620401647,50.44109051708455,46.72925906522994,46.919600373555205,45.45046131274184,44.30713991652011,45.957753053563245,49.07265341835228,52.455453400873736,49.47089885233561,47.256750244238965,49.205614831364,45.60927922664838,43.546762902275795,40.72742541254963,39.78530496776653,35.318645274050645,35.00652170127136,30.627303627443908,31.563478520792017,26.473420959800123,28.838941779623887,32.82601472344747,34.176604500993555,36.672216597844546,38.83958656494262,41.29077638028705,44.5917697402306,46.27918962407803,48.13683150383507,51.20745767264014,53.85765645930872,53.86809758615882,55.680698685145146,58.79726883123369,56.41137121305469,53.10092835938813,52.03195535159548,49.64598964371417,50.9335493843253,50.246029011403216,49.2297876578929,47.93768550350176,45.286826735999725,49.07556310287286,51.58973019999612,52.40139962713845,53.95586773267647,49.323910187881026,54.84453249045698,58.202389498495634,56.269848569201876,58.766888412896556,57.32069843728409,62.58638475960884,62.12502598855441,63.4695302407665,63.96821007504418,60.83018663837348,60.52188424673081,57.979210681422835,57.447815628477414,57.17185804895301,53.06142465882208,52.33551639322573,49.14606314340191,46.23864051319901,48.00553547591201,45.08506126647289,42.219835319471336,43.63596524876564,44.34531595597988,39.770880354386925,39.06915607486793,41.098490490545466,40.18947229433005,35.06067784086528,36.0384357934968,37.06853566781159,33.19594682906439,31.491275286062006,34.49377082809659,36.61737321960055,39.28150137723575,42.85554637677012,43.09292958055722,44.676882723527335,50.08754361188608,52.074362356228285,54.84173069562465,54.687586871896684,54.87437832493415,57.36185613877164,55.415616383067835,60.12482639728317,59.232341576687304,53.880264612133686,56.82836371108143,60.7500699401497,57.02840350142635,55.36384998847289,59.27264879846933,59.39062152715764,55.1911965602505,55.27719818348252,50.959590195903445,52.512609253257246,54.65052044314086,52.21752283618454,53.09748855885015,53.36586398564737,50.9934014451056,49.08185304465475,48.67025185135625,47.25873284549555,43.96783361258688,43.61289446129882,42.97779435959198,40.0223142372027,38.79796560327951,42.23267328820334,40.231292566631836,35.740519329589894,38.68560274890667,42.08238434072509,43.15104995848512,46.67378350289296,47.240644828348394,51.29688043928727,48.993743129107344,45.06844208412274,49.6704144523813,50.917726149894385,47.781957624595975,48.25838981451197,53.80235500325309,52.12663203004441,48.03228212785933,51.537813390930914,55.46411694561282,53.126462276872594,49.84215104176012,45.240118083693964,48.58243253757201,44.40478349987107,43.2368605849922,38.90653607245047,38.98467480894815,34.52220686893206,35.33802678888532,38.532873556111284,41.815949266306596,43.335920404900904,44.4229691704292,40.80970718119598,43.5442506899746,40.234424803037264,35.322672238577134,36.466713399272436,34.57299736716486,33.09848277776609,33.0459851340635,30.570018334961222,27.78935485191927,28.842973874180906,24.7187905297926,22.651075140500925,21.969494195306932,23.515876052362536,22.685416858367432,23.097364260734818],[25.802810274155075,28.270980484889545,30.430910095960613,31.65422178234208,35.62037557556917,29.74796973574421,31.617142397264004,30.509904033812827,28.381594738334883,31.960793086659073,30.899858737458654,30.30156225447357,35.37999492431895,34.375258984868964,36.12580004504309,38.23672270947388,40.626688809804506,44.13069238702114,48.296933039110485,50.5364325116164,54.134939245971765,58.11653543379866,59.51059376174461,60.20548645456036,57.373671254397586,53.189569183652665,51.239429634935284,46.913274569568145,45.11791856179454,42.54531820004255,42.25075080394811,41.05867242361761,41.43834509218735,45.973480743567585,46.37278420803734,47.204869364159926,46.19041220763484,50.18301396570118,51.707658767357316,57.0701958304912,55.93752306058324,55.64808222174203,59.68795895888062,61.01878820150932,62.43988584015656,62.46837825829693,66.13500159987792,65.50285956143473,62.52144397927577,67.64356361905043,68.11003396579282,65.40198798000387,66.2247581416229,61.326440378632206,64.87896566004899,67.16302759945013,63.442559449345005,62.067460666197036,66.17849123601829,68.1126336902856,63.15683785586933,61.832519469541936,58.40713409944847,61.45726747781488,60.83555814408321,56.631983797711015,53.682623801302014,49.46813362244688,47.66175588424182,43.44837428024646,43.767610855133384,44.576174234605546,45.17747632681107,49.915201029928234,47.913495530075004,52.73094298313503,53.61826860033103,54.08042317929022,54.811441832678995,57.502049410472175,55.21478219067129,57.05804407404091,52.994787711278896,55.87994952434947,54.64587512114641,51.57642795465862,53.36402968705108,51.106535429101,51.49238943601779,50.7258439324217,48.578441576061316,49.522673055278005,45.3518238241171,42.28854447614269,39.04360214766359,36.8290244580481,34.38615456251181,36.133232392380975,33.99800833143839,32.24587244864889,38.239378101844395,37.735133660238446,42.503686310228325,41.60658531019754,47.035798646928704,43.9368676624789,45.72924054358729,47.324310628186694,43.80750101444641,41.44604485759125,38.27889851115042,39.80344332487209,36.104507719940365,39.34211839656334,38.50908130569744,40.96782219910262,43.19758289321372,46.311528654332385,48.09679183114576,43.98065993912073,42.236314316981236,39.21036183406435,40.13224171248016,37.826630500096535,35.19964006756311,39.34807353896696,36.67910920507838,40.695442713441,42.86282721100646,46.36676452868002,47.96758926648272,50.76920567733351,53.330540581182966,51.79041879689179,50.86080390920996,47.316496674822396,47.70500802985781,46.5361361217182,45.668087717382505,47.09707984395118,50.58590569006128,53.92261331802549,50.842848234383005,48.47127432105268,50.214424276158006,46.462408367068605,44.47126796691071,41.380049499537044,40.17259731689321,35.69270369068543,34.90088734968155,30.47379933898687,30.793416836569712,25.49712224897059,28.14113697415172,32.24758208995242,34.04594796144458,36.372358204145804,38.896900478749885,41.275329406899885,44.996834853715406,46.76960549111692,48.96407415158131,51.81836440305063,54.58129064099268,54.90496018928886,56.46838891075576,59.750059440145215,57.326159034947395,54.15948685981053,52.86603200638803,50.52571889724909,51.50219672591077,50.59863422068463,49.43370139542901,47.83833482305646,45.333758452722215,48.761005771475894,51.5838766368539,52.22526842548574,54.106585850800045,49.31599793577489,54.8552344152713,58.30264137339865,56.57770062118133,59.1673328475194,57.87968510531686,63.16508378160897,63.03506416554681,64.14129118436944,64.62970104054295,61.355686850677515,61.01667658447837,58.4232831766606,57.79595244130948,57.495987367104924,53.528082080050716,52.520615216133784,49.32324967836731,46.209692050564385,47.73209467995256,44.59151340453033,42.01126129091613,43.513475022848255,43.83371605269313,39.26265770579337,39.08229883617354,40.762927183748445,39.34271327615312,34.60418803695079,35.70444857931012,36.34600674592661,32.35701534029623,31.148224456269187,34.01826596421302,36.4111085652791,38.61596981684545,42.82644291148974,42.80584428102771,44.05952646586906,49.460858624194145,51.24464505759988,54.05780974670922,53.706761678821465,54.02886324269629,56.43138276676406,54.539481936376895,59.34375688100179,58.558351631778166,53.3990042057581,56.323676224456186,60.38195531817392,56.83334278096512,55.22866008685558,59.18967803479241,59.49627527789083,55.384754359533446,55.541843270961905,51.011162417796186,52.31690957179301,54.25295414779882,51.54863757093939,52.239211665217084,52.16716236575717,49.91669768793861,48.28490195247109,47.52258306233586,45.92127271485909,42.94783808647904,42.6092156812089,41.570378244807664,38.56983336223259,37.658322678986686,40.84043375701212,38.56084410234809,34.25518797868863,37.38718499474227,40.60441880395813,41.97284814439759,45.43891778840143,46.159872643788795,50.24848256444859,47.97783159277488,44.352879952345425,48.98706289512055,50.302132734720324,47.302446036820136,48.011427042857484,53.45753716356519,51.927755043809654,48.0677271958746,51.62253735958483,55.47765251236488,53.293603205822606,50.173404496598195,45.688425067230575,49.161944270839456,45.190793468807726,43.64097114591037,39.49328362626787,39.23544027392782,34.77949445868334,36.08947371704261,39.249389231710445,42.6518786185426,44.0952361234195,44.78416924951284,41.23704913100189,43.795677608947706,40.66676967794007,35.54851695805759,36.23919547842405,34.0233507783098,32.633577265912265,33.04968563867245,30.442624608394166,27.354255416339047,28.970804498073225,24.948721612281467,22.342822498218037,21.488585214714835,22.76325155869477,21.66118134601407,21.792028433423432],[23.55459494801397,26.211431458184084,28.238480944508886,30.203836840074906,34.1404232153474,28.53534759470457,30.797733852302898,29.73337172299017,28.15144545837722,32.09765242531654,31.399525510880206,30.658613412756193,35.634465840520434,34.96928762116206,36.97530806930007,38.86268161794049,41.12044139366791,44.87944058089541,49.13203191595664,51.176821270608464,54.91742785424257,58.762702841047336,60.28248982471026,60.865689094040235,57.86974995940016,53.76244501699413,51.584510313300164,47.24488701375343,45.547045527025595,42.87409595253819,43.17259126253555,41.55457337049388,42.21070386927455,46.87833245067355,46.991321626987435,47.80736042403096,46.438720014284634,50.443970020005835,51.79220512387134,56.989635967182885,55.9514138959919,55.99517224669728,60.01413910736636,61.2148729684374,62.64965566284982,62.47230463811394,66.16314619951217,65.62111311020382,62.41652865468653,67.43374932441982,67.93598882807879,65.23904475221187,66.19991996721507,61.29208334990261,64.87930507392349,67.35403892069597,63.723095275656306,62.37823594390382,66.57986849360897,68.55033032981613,63.74784125723619,62.664167296520986,59.35371335372082,62.523164091400496,61.69131176256774,57.40655581436962,54.7162870115493,50.4813060013648,48.82205840298011,44.685001569327206,45.06074977088795,46.164830657954504,46.71205659323801,51.36101953669214,49.19001195854387,54.1305371014813,54.65787377036023,55.17009752996627,55.620308905344345,58.10060814961679,55.54356988311103,57.11983847346057,52.86734913297768,55.536625996972845,54.35750115853589,51.51276184216735,53.62599407811547,51.40280825103695,52.13153875640108,51.56926117248653,49.63778911842103,50.912698524535415,46.7199663836659,43.52985002973468,40.11988770167493,38.20139625915126,35.56500111568744,36.93126853281453,34.47387748572165,32.39024198523933,38.357400498195794,37.248380761396405,42.196112671619346,40.788456139327636,46.04124160595857,42.761033707374644,44.220900048075855,45.709606361653236,42.114664923408576,39.91850157044883,36.80834047073547,38.77626384288336,35.34616007666494,38.7904531689391,38.44183996759409,40.91785246557965,43.432767190350965,46.53082637049953,48.730732208167176,44.64783125907242,42.89113140863895,39.70110146523893,40.340580079169804,37.79838755773369,34.884592691666775,38.66887911623934,35.50132610532823,39.56607273445465,41.502241405150784,45.06270922996175,46.43600964374539,49.093572341030715,51.888156663295824,50.4568383455461,49.663587859724046,46.31591985595008,46.492675780078386,45.738559006584204,45.14880978429091,46.64837020835169,50.37264124423255,53.89138613315289,50.96187884834454,48.39960284140137,50.1582796597134,46.49125946185555,44.36239629771542,41.18629540684053,39.67676291461151,35.21643808641951,34.02984969858333,29.858351446139043,29.943933795381053,24.80042379791256,27.965876547992597,31.926436919480587,33.84268370339298,35.76532198023077,38.64884226049366,40.532091607777,44.37412516360911,46.52162486895316,48.60271186670874,51.50282668976098,54.02899330100129,54.33013882148945,55.61319829384417,58.87903776392525,56.25991722418139,53.267748165892456,51.88183205014742,49.77673800500199,50.7603426907558,49.909019769175956,48.88754909379321,47.23247540816397,45.06154057105866,48.34901447910363,51.16066005412973,51.563848317088095,53.396212450388845,48.35369724044647,53.7584572859174,57.20025186986634,55.62182316004457,58.52598432367419,57.5206417396394,62.69587826332467,62.62241747283444,63.46192559644765,63.76923241334316,60.43989289550391,59.85981431867822,57.13480463184159,56.330377411752465,55.82677652697368,51.893048062603185,50.664391405718256,47.310228554924976,44.25719239234227,45.44047672323842,42.345973511422535,39.927428109646655,41.16762073947381,41.2705182989154,36.81458546440133,36.69165734217057,38.06604315945736,36.52874245832498,31.953058099761975,32.90109573544575,33.30762583300035,29.423215497508185,28.297526338693032,30.904505869296035,33.45058291499288,35.380009170890055,39.86934827985959,39.85064491600485,40.913297046948934,46.31818570363154,47.91971674635602,50.84147142444322,50.573793243835055,51.066805945777986,53.55204705758871,51.864150255586985,56.66239082370092,55.74715734625311,50.760814227462795,53.821397659982644,57.79801828992849,54.25652142072532,52.83582346282302,56.893112374341754,57.08682446246522,53.01299334319166,53.48656523643567,48.76759771525071,50.235264194577795,52.00419273414589,49.10850292035904,49.913521633098675,49.68434731913723,47.70000571582827,46.01630579950643,44.94543574990426,43.50422613564928,40.672603890670274,40.04469464222657,38.8785887197011,35.94738985484145,34.95251468311423,37.88609764358994,35.56985018512125,31.30214756389972,34.26579370866865,37.37912745576453,38.82745146314093,42.371583080696986,43.31022250052131,47.31678685043083,44.87176001165357,41.457787152512005,46.18915758214514,47.343409340122385,44.364958168339335,45.3412360153109,50.64291733234634,49.018142695908104,45.365089854498194,49.07121060983926,52.740935659412855,50.52099821716557,47.54635576110846,43.159932427510434,46.561308701074694,42.72554122953262,40.88526653672981,36.97882144808074,36.67115833420175,32.36081526098042,33.86410622403545,37.065963041323,40.45106080438452,41.99317414540935,42.50340604441893,39.2594753474156,41.90027865027504,39.071215256423535,33.59766859789391,34.24914491445841,31.78270226718729,30.92364880044198,31.33753725489875,28.319990919205566,25.36430985913423,27.593118672610576,23.13564630505889,20.51568737928837,20.088468277878565,21.511335382010873,20.476214764987315,20.386731836939664],[20.748595567135787,23.30773670520262,25.620834380758577,27.00028812968272,31.284617279698896,25.686847792102828,28.004832577276026,27.406673350580988,25.53977149772775,29.36382992138552,28.871942145828193,28.610702867309445,33.264043850437844,32.24058954293651,34.628999961111475,36.665582359810166,38.566526677616594,42.39055328263877,46.403334391625975,48.65478624095458,52.30556894283497,56.242400764547114,57.601524189836496,58.0142046570903,55.096155147594196,50.917714612499815,48.85986131517575,44.531842295491224,43.11333791266761,40.72373611517911,41.156401509400446,39.83353846785797,40.79093170504355,45.40234814987467,45.3094633844706,45.78103704983155,44.58748509433714,48.209764528040374,49.40883050048266,54.80227577335223,53.39286647908751,53.47996530740317,57.61059208825404,58.62545613676059,59.87194583432938,59.62884926013536,63.28835468270216,62.93210412586294,59.79539011738868,64.80023165529205,65.50504589906977,62.888977003166254,63.98546316170275,59.05853096691804,62.92896740759449,65.27528561650288,61.5499434133029,60.44147044421283,64.69958955272838,66.42154013839125,61.550861682056286,60.62188498585508,57.40045200696912,60.34368075481717,59.38435062119887,55.16223153820177,52.25088412062376,48.12709157420385,46.1847082967321,42.16131253761412,42.3121260958059,43.43076087051306,44.26957909387274,48.916556205263944,47.00941027676868,52.20519201861146,52.671187123375766,53.498141423742204,53.87687146811101,56.27472721704137,53.86085244485577,55.293916511827035,51.25220651654251,53.77082333480264,52.30328363900165,49.558346459820555,51.576787820278355,49.6891357605387,50.15172015458031,49.98983821923996,47.839551048571714,49.21870840765544,45.02423321290703,41.970808865608475,38.311252506363516,36.483371794786265,33.54620953830049,35.36255405048621,32.89421580658561,31.372171580130615,37.022580041735324,36.08350983381867,40.74716919462115,39.350635687034455,44.51473744806114,41.005107340489225,42.70373901581445,43.93949283992783,40.18462084421711,38.180165321318455,34.72017390947742,36.49708003619286,32.86540059210923,36.0689712401511,35.643510921278406,37.88854476052264,40.48869155714666,43.3818670067501,45.696208971891025,41.79696351993494,39.827793743869464,36.653088012546355,37.0513852183078,34.61042530186052,31.814874972133982,35.69930832500172,32.83053145643137,36.99310064058766,39.129952629187564,42.92121009837308,44.066661024186914,47.00677479287572,49.61862276507298,48.43552355176107,47.2318985947233,43.746544632617606,43.7080628344907,42.74999968468871,41.976153633629664,43.687323720334554,47.15911547596931,50.78071745244571,47.97294999599332,45.48333064506189,47.44117773692739,43.94050027160981,41.691548317550954,38.740845602009756,37.400099345780106,32.938525116000136,32.1426401948106,28.070443712847453,28.79746952078366,23.92848430415868,26.939854855103647,30.728832943639453,32.18550913811107,34.1741988834054,36.79195240398671,38.610327910867866,42.06154059966213,44.23955280205763,45.9615811516302,49.09320242716838,51.45241672595115,51.45748505154865,52.910957323710285,56.03303852195564,53.40966533045636,50.30978258473074,49.10381933321919,46.99422579673311,48.276498060482055,47.64951788133225,46.81707692205239,45.45945464038315,43.2302207853334,46.87701933126292,49.35384975288793,49.87131744975674,51.34850637413686,46.39456884866724,51.76596097846705,55.12205053959814,53.36043641808333,56.2519615100402,55.163113811043324,60.300746386631,59.92525747192894,60.92584307328743,61.205097583532776,57.985972900290726,57.38884682336641,54.6847996630257,53.94608577362796,53.44724190636623,49.38027945687443,48.39948358339902,45.04087915340385,42.174908306503795,43.6071458305518,40.724988520079144,38.002059297532476,39.17364304417711,39.68356371755593,35.19356801103872,34.553933352174006,36.31672419482083,35.31244833173856,30.28072059117926,31.15590510627774,32.01751209206391,28.200500099540186,26.556452190790253,29.423598459935803,31.66871429550271,34.15106348949111,37.97640077016148,38.15224404497416,39.59712902046785,45.020186382230634,46.91737323691213,49.73249737078636,49.61988392995762,49.92137342999967,52.47977460967201,50.69929185322051,55.407060070317726,54.401365160457935,49.18263404888205,52.25721174880388,56.11795485672632,52.40439747100251,50.89920369692843,54.91248230449039,54.94737807507671,50.7780867598131,51.161616710893234,46.63102307085171,48.335531034258544,50.31443567060495,47.69883356557813,48.70973969421797,48.86590855799451,46.74223578575249,44.73579723620309,44.0621241147377,42.8375427023769,39.62714274128984,38.98169458352983,38.29312090755858,35.40580645519552,34.04080596656631,37.31511893007871,35.34234495836575,30.830781236832017,33.62114130161971,36.98507626586489,38.06639446814374,41.65481340390193,42.375093445177114,46.3705673616206,43.93462200920793,40.14037395275806,44.82989677385653,45.96225035967863,42.84134730008414,43.53035972015833,48.97417336599327,47.25295678863109,43.319581129605986,46.95449227292312,50.74583297468505,48.41835122221067,45.2565310444939,40.73552239015713,44.101589262495395,40.072352381681874,38.60060660409135,34.437462476820485,34.37552835369896,29.992038262719976,31.088189940004202,34.31799865859488,37.64635945070583,39.22096624375432,40.075127828394095,36.72713392165841,39.539230574414574,36.53914929486346,31.21460579223244,32.318909822119096,30.177445186301203,29.251767528140853,29.16458545195426,26.244186381226676,23.590614505490954,25.301345130244652,20.64165676947751,18.543831651448304,18.37829412914393,20.16615228796596,19.489778025198184,19.729153372348602],[19.011370586147542,21.130219777957336,23.176848528337935,24.092185319461485,27.9073669437201,22.016330267144514,23.995267504640996,23.133203963550677,21.196520651077435,25.051899798475464,24.50261047474622,24.1139397106258,28.8197712278902,27.9748594099162,30.287481464387938,32.23172115218514,34.208532942481284,38.05886601488934,42.19313005096197,44.31107682398059,48.028642036809366,51.90098353986319,53.35302325878274,53.832820239361475,50.843582578176694,46.71358216092268,44.56596908195363,40.22794562398198,38.70630752243142,36.239148402174884,36.77358374873004,35.3387110733943,36.37715274429868,41.012357298461076,40.833535616527755,41.31567086625715,40.06782581541635,43.74061227225627,44.980594254133315,50.339603785051914,49.034645661439676,49.099256272901464,53.19442089646083,54.27382627992692,55.611425091835734,55.4270468284494,59.09934572356552,58.62942498203829,55.49041427170525,60.52867663401282,61.14155418064727,58.4893962770504,59.53172523482303,54.60360576695941,58.42573998572736,60.78340946062292,57.07843360872622,55.93728490559947,60.19696874958136,61.95459680972662,57.111400917255196,56.20570461395447,53.006683323865744,56.020460192318104,55.02417449790427,50.76688727191138,47.99567507973639,43.831224348666446,42.051417427615355,38.0214660275833,38.30666777165837,39.604156438715535,40.26226656258572,44.848498320751624,42.78271445866768,47.99640914218371,48.31345556910241,49.145319014002034,49.43682967349141,51.79063841211509,49.34354599067566,50.77374753375458,46.740253819786204,49.29083400278588,47.844107664897884,45.05355896173339,47.07733647775853,45.16945806716604,45.68735240960047,45.566836164857946,43.48211685534756,45.00036175165381,40.80545443749879,37.70621553770017,33.97706082005743,32.292387676114245,29.28057503310428,30.949354543816323,28.41158985454737,26.962100225698922,32.53023520897903,31.6687426056868,36.26251368863065,34.99041652094185,40.223419026691836,36.81721532673516,38.69911121182701,40.051458681585466,36.40970578481833,34.22041192308038,30.810680617340008,32.35006428968192,28.65576374846022,31.900270950325556,31.393117314197095,33.79450707760479,36.31316481463654,39.363542585181506,41.62297439213238,37.612188930924034,35.78527736384043,32.569781945789714,33.165092025976975,30.643141229900422,27.803509004240258,31.76334735988464,28.988941732406946,33.055688985086626,35.257439410235875,38.905639449856324,40.3405497996707,43.27133357806519,45.76245269190473,44.40245038681735,43.269575216634934,39.72759110762404,39.9928205280836,38.907727703694455,38.15717450477491,39.65160172145022,43.26916867107402,46.7617467568642,43.83748141118219,41.317120290920556,43.15795839971064,39.56907335981122,37.38630787337237,34.35175994146777,33.02482326890296,28.551154418020253,27.81523545807271,23.639986698295484,24.49295356015439,19.671602289077576,22.543310240081134,26.288260378038427,27.675232056387703,29.74246628410789,32.291998284037234,34.24305459099493,37.744840173159886,39.815696950396095,41.70078985036317,44.72755138511866,47.22743880195465,47.419178447358796,48.89537801576965,52.132054395217956,49.64089335597267,46.50751045748645,45.21483309049151,42.96795865728732,44.08084107628462,43.34658270018107,42.417232941713344,41.036924813389255,38.736407732719435,42.408289479578315,44.889911462036636,45.46315956870074,47.002057203647645,42.132223104019644,47.58207472179725,50.96494159188458,49.18224681677808,51.94309364659336,50.794661272162095,55.98234441365733,55.725926311090916,56.74206355962324,57.12196190912355,53.873081901553014,53.426449914735215,50.80289518564271,50.169688252209646,49.861682029287294,45.85462346358424,44.946563760741725,41.794185449220265,38.73471517406491,40.47924994379536,37.45174628398603,34.653680630416815,36.245967286282344,36.87598253343147,32.23880823537177,31.85517839289788,33.89910454729774,32.837362408602466,27.774197368733667,29.060206766008342,30.155712535249304,26.09584324539232,24.703799352311016,28.100684696855478,30.1398643127358,32.88086074104855,36.53875021278294,36.36151666980601,37.986907207896884,43.32616916600618,45.60571073272024,48.08434457774798,47.63456386340349,47.62237308342284,49.97912850397528,47.87754494707894,52.608554156990934,51.86966280061145,46.46260806653014,49.29502129208561,53.34056404880032,49.740206413382516,47.97204227940988,51.85561043066394,52.20982766138199,48.07414621108989,48.010547755098436,43.61892099051621,44.94983642562468,47.04744222226834,44.60089956362978,45.41918076704606,45.7452142152163,43.322306181880144,41.397671676570106,41.08045447386313,39.66780735231801,36.29243672472354,36.02196031990536,35.5058725112032,32.54738617769409,31.31479169401552,34.959884744248846,33.09385640904326,28.553216862513697,31.658859551569176,35.188088712045946,36.131990980515305,39.499104436007876,39.832127359130034,43.96045567269267,41.91150359976276,37.838025664048466,42.3164922615683,43.80792741890124,40.766106353990004,41.05793901963082,46.68097425963091,45.326243920808096,41.18573963263703,44.50891143785735,48.60110853056653,46.569415652388386,43.293848041790866,38.75238032020081,42.49441748726352,38.52813019901201,37.24790709468585,32.76297819088474,32.30465714813626,27.68547834926958,29.025238982516363,32.0325406454419,35.522555430918366,36.74734731188926,37.44942674155038,33.68281556211374,36.21377541222646,32.99061073991174,28.00409914560025,28.870800121743493,26.936244250340334,25.443497335233328,25.523916111237245,23.08759786831864,20.130005617347884,21.40028339787385,17.387580353072572,15.0191474947081,14.371565857272895,16.08965532698956,15.481196569387615,16.089670247400353],[17.020431751710515,18.93726495426683,21.368107891650883,21.395799775795577,25.728125459430288,19.956942168892933,22.001063536070692,21.885365159733183,19.536522146184627,23.119340905632797,22.881513757780553,23.230382096067327,27.383170409478396,25.993599297296438,28.83348430507486,30.98168146369908,32.434199681026755,36.33541856825999,40.104040746636194,42.51347092560044,46.08188072575831,50.07314302034894,51.29543462479533,51.544031059172355,48.68222583278928,44.4607981185505,42.50116513815369,38.200761321149294,37.0760026402951,35.026157882225675,35.69645941385949,34.70214783218158,36.09409086378527,40.593596243427264,40.17818452321944,40.20864062849353,39.22159582922258,42.35816489297862,43.395487488896784,48.9910463854936,47.193685671394654,47.3051421893121,51.533599678768304,52.3652794286839,53.44192012820426,53.17084533365434,56.7962620594189,56.57865220367902,53.53906861288625,58.54521698288833,59.423454620919294,56.890705846975635,58.10753978031923,53.17611063138128,57.34315102367346,59.5268807421805,55.711935721938,54.87048384319652,59.17916191709076,60.61502554402037,55.6946921663498,54.97527393387707,51.89498610159774,54.594352719442796,53.45422070648237,49.303066167512384,46.228283603813196,42.23814336235048,40.06333998843822,36.2084203821739,36.16501941709914,37.44084992119445,38.51452103541934,43.08036963519855,41.40330689747121,46.9042144951846,47.17563927035165,48.397960354149774,48.621787822003455,50.87228937924341,48.63424207077919,49.88582122667578,46.14855205622727,48.49262246682304,46.686184287385714,44.04134775492184,45.91767152903589,44.4536440801705,44.60648490222055,44.98195784642326,42.618973978408675,44.22459590240844,40.064271033462994,37.1865016656044,33.19654560786716,31.623103871866626,28.275068722015366,30.558051835025122,28.077469796149312,27.406127240227782,32.45437964242497,31.83818500170841,35.99548933857966,34.75433853091061,39.8056078433756,36.12965393463897,38.27785007636688,39.27826223163347,35.45674427730804,33.567524464571065,29.73714917816839,31.009312608745287,27.076313519567005,29.929684895543133,29.30457776177334,31.338377284517296,33.968795570627286,36.7066592979936,39.11459228128533,35.377502941693265,33.24145259439072,30.069175852331608,30.302426652254002,27.95626711417587,25.325728126369693,29.414898264062252,27.104685025038563,31.276331486095323,33.73084312934107,37.6697793344161,38.75867843427474,42.03877089886844,44.288512477487956,43.27970280067762,41.60767592291851,37.90634504273578,37.84715659761099,36.490773752078404,35.475787035230276,37.28421192491556,40.517335848452454,44.14961820739393,41.40630570224061,39.00521048626126,41.12317069017583,37.786437002657266,35.44846858321479,32.76166262606562,31.68972499920316,27.272450321139523,27.103792987189546,23.17110132391911,24.864939860220815,20.582855277636494,23.131934484974447,26.538500549780995,27.282042089941665,29.399504495617446,31.546530798269,33.38193077817778,36.31260704973358,38.40858921486204,39.78308670764562,43.11483929496538,45.36975276949809,45.14387930364849,46.848104690638884,49.87019311481641,47.36968132379374,44.103276726433634,43.06876647034473,40.83683833508463,42.364290343989715,41.94270697197612,41.2753735014386,40.29962779889244,37.94397526248202,42.04118166209868,44.074027464384876,44.78714771495279,45.853832901079,41.13234080431726,46.48954486148547,49.73980261971753,47.73124707931873,50.47188071078981,49.22199387997809,54.33324421546229,53.67147229939124,54.896649147519284,55.229869553421494,52.14114237780529,51.661820453194174,49.07089494484757,48.518919109780455,48.19649097378828,44.0204335899703,43.43581711197702,40.27827578187792,37.51552860281734,39.52661002165211,36.82718597581079,33.682899064964126,35.11265622899689,36.24307763206897,31.65946321982701,30.571638423364135,33.055209371150035,32.69582427618022,27.17388136627373,28.281602304865313,29.897663510937775,26.06965623385412,24.02512194172152,27.586040797260225,29.21838672522078,32.550625658234225,35.33906091959766,35.45752098297413,37.5045442051758,42.80424541931026,45.352500388396216,47.731539994462885,47.52057655123497,47.327752236317984,49.78144280067913,47.63675636205472,52.215238886850784,51.33387880590698,45.71625300240686,48.575721413770374,52.421007197952825,48.6185381628858,46.793598919871805,50.60925976576551,50.7181168080467,46.48715507216461,46.362551523621086,42.23085495728478,43.901922400933174,46.231105611940286,44.1334719417309,45.22123267005333,45.98346289197372,43.463924402568196,41.156173891749226,41.2787336670443,40.1743743058205,36.415021709773704,36.077312893433714,36.12176793171135,33.28711660020681,31.617583264726264,35.53717825389912,34.09283101964672,29.390067655447442,32.16112659182206,35.87728101021371,36.396169434253544,39.79368872970377,39.92081282123205,43.96112531159361,41.8897159066416,37.45725078622601,41.8527081417154,43.247512115761836,40.0571760963401,40.04206951499801,45.757494871305504,44.24320061627337,39.82395769807832,43.063462765440946,47.23408433046069,45.04340918685002,41.5753976505718,36.90754987084143,40.51858467727959,36.32942071911847,35.52419008701315,30.80161896082341,30.728377112968126,26.123456906661673,26.840143238819856,29.866624873733326,33.218171090184,34.51608379612631,35.691923326073486,31.870849293695684,34.63723784443075,31.235403058792883,26.499383013014864,27.999711272979727,26.52253342030601,25.041974200631063,24.409433469269313,22.1342978118043,19.743520570408247,20.23763337232921,16.026516964134064,14.65167757063339,14.479817269677353,16.62190946506504,16.568811896933227,17.541143029778993],[16.52245686748169,17.704181596679003,19.912290625773707,18.83776809939775,22.768904027694376,16.757164468898974,18.268294931308496,18.226125380419276,15.435141809661168,18.800359563655714,18.591590581154783,19.236235218442083,23.146592407779305,21.613960612852093,24.595645401889325,26.776162590157917,28.079218440749234,31.99087883238405,35.71491056671137,38.1425060835258,41.69582313078653,45.69371689256458,46.89758573212296,47.13931821956828,44.28072492379048,40.05404362840303,38.118521489468066,33.823261307364426,32.74818389290405,30.82705398364855,31.56820757080392,30.734651094038945,32.323678998706065,36.741128373640876,36.17921028104971,36.021845736603005,35.1565982543593,38.102058690852054,39.12339459367156,44.80847008168759,42.898436935801136,42.94817618167042,47.197976299163926,48.018720182280646,49.080847027271595,48.86436878725987,52.4886619407124,52.243913794023605,49.2700574830364,54.314930710736554,55.19674984362973,52.67462040176605,53.882834119491115,48.9605282735054,53.20400370001696,55.298225129359565,51.450279823591984,50.69498312373275,55.00227446687475,56.33867202692519,51.39435449385346,50.73561695002244,47.711456111224926,50.33329422619883,49.130643706683564,45.00044965693734,41.900568240380565,37.94685589214223,35.74838415782809,31.952018140834074,31.896215996344008,33.31091695954631,34.38318559434878,38.885676213300435,37.23826971762191,42.85394327076908,43.00869403988566,44.39017140190024,44.53989113218886,46.73333369875345,44.59412790080923,45.810650341887396,42.243097600698434,44.56375318284863,42.62344966525157,39.96116226888292,41.72134545207295,40.423545737807714,40.419925170820406,41.01784314276752,38.57541187974407,40.30785369660758,36.178624827112,33.384548011389455,29.245801227637468,27.845637323298735,24.300372082623596,26.775020888654417,24.32501602647909,24.19332474241998,28.836083923363347,28.531441590813657,32.341331908471155,31.34814495801182,36.38605537613603,32.75853485554655,35.24963490700808,36.23649177181107,32.508901260355735,30.541668451645858,26.62205095545801,27.40539681892327,23.258602656291043,25.907509787037714,25.025665274699485,27.060983823812997,29.599418890029398,32.380070484598846,34.722481713858954,30.971329276091502,28.8487440331158,25.671302854647852,26.019582805929367,23.706670766074936,21.191770973182138,25.510290220019588,23.66153540596236,27.721175524094885,30.385965760648915,34.258645854200594,35.5412942170215,38.95643881960613,40.931648391107736,39.86874445606163,38.03294043446326,34.18165638712787,34.351287519286835,32.66540312512607,31.507602529524736,33.19931855824511,36.37868040260093,39.896544674879756,37.07652482079765,34.7275956246272,36.838062216881895,33.500967461664295,31.191387947496455,28.591617076149163,27.720691987257982,23.336155055174874,23.608587173292985,19.689317404133742,21.968266167965478,18.139156734569763,20.16584778799569,23.29643530881931,23.60264799836531,25.884758934438924,27.67375721364125,29.68355952497078,32.370376908464024,34.285776175150474,35.62985206723519,38.969163938959454,41.310063332385894,41.10941637537886,42.98110731841229,46.03311422816744,43.70550494953648,40.32685928676335,39.32632884556539,36.91581592145872,38.434428151698434,38.023661683820954,37.342474359071986,36.53246977656659,34.02673411095654,38.34106193855623,40.18218299156883,41.05003976535236,41.98937169114684,37.4796868628116,42.879956392707946,46.094103371020516,43.95441093599326,46.49156383294396,45.09293940556668,50.235784141254406,49.52404489095699,50.892236754020104,51.33807257106068,48.29896602875758,48.00560000514458,45.54026226805997,45.160447629016,45.061525512505824,40.892812706584394,40.55213050714094,37.655056001813634,34.82900685992727,37.294997549767395,34.60377780913937,31.264557539239483,33.08301170734501,34.539384794108194,29.89698556522907,28.808916816679346,31.735806739792892,31.60019480324733,26.000838253905677,27.436081728534415,29.44259418932085,25.575481264379494,23.609444960865837,27.624518733156915,28.859699585736013,32.56941424408316,34.82354826008044,34.70771627159426,37.05041055556798,42.17764158104986,45.15009316385726,47.15126821363101,46.70270591355462,46.139845249848236,48.40382984723149,45.93494017889562,50.44409021260037,49.789706645289655,43.9457018332847,46.536586714736785,50.469437306939575,46.732901027649014,44.61997943548075,48.240065140512264,48.587527200741654,44.38290125901782,43.7418987907308,39.91332177671979,41.29915223283441,43.84000645269374,42.08536269014104,43.05635573996689,44.1555479454977,41.299331276699235,38.96202173648763,39.63716576961197,38.45528091287068,34.42834870015268,34.482880656170074,34.911972268385455,32.10197961055394,30.4510595100354,34.76255247414914,33.59119543988307,28.925863246206916,31.817716677071623,35.67257737546238,35.911483450796375,39.04759860765877,38.714220929811226,42.80485098902437,41.13406940148364,36.360145263264755,40.44703052040553,42.15177650339801,39.026004573937044,38.48537503924779,44.35660397851542,43.16412624319466,38.4797971410124,41.32304901583013,45.794764675532406,43.857828428219605,40.23536558912374,35.554412333876186,39.44006436530136,35.27671989188986,34.879395611163496,29.827282284023738,29.512285744420186,24.776647571605828,25.4457025613524,28.16583292246804,31.564930386557954,32.49560828486786,33.70996033595542,29.437358052527472,31.949338994545613,28.21632009855551,24.116605161653116,25.610002196333554,24.629568924737164,22.488250509513474,21.728505890703566,20.224625872240264,17.843378418760516,17.269172205893817,14.067217001227027,12.999707328349126,12.439719682472495,14.536120902852428,14.900083045940345,16.408791334757556],[20.234533417595134,21.085892709845044,23.328435191218865,21.16571728538558,24.92877710784045,18.92888595894705,19.622222152713977,19.637770337922525,15.940151196994414,18.342546931335608,17.553439134211473,18.702667796543185,22.50612976758328,20.23500444686528,22.944387335870257,25.536362249797712,26.871557814275526,30.379746562803312,33.865150419375986,36.65427978203762,39.95567080972557,44.17053571722179,45.14111322598497,45.48203239104967,42.89232229331484,38.54277474135391,36.999055983233454,32.76302354784444,31.649070394219507,30.017758232400638,29.909840730287797,29.855546621741055,31.15773040439135,35.31760470975448,35.073428845429106,34.797258122000684,34.52794375181807,37.28187236022636,38.499858281405785,44.43345494801657,42.289108243540014,41.86662447075792,46.158216650749964,47.10138051794524,48.07916469977792,48.13231214220254,51.703213546322836,51.39029933543439,48.76050021792958,53.91486133357636,54.79244059048554,52.29554998504186,53.3471960829582,48.47638506321456,52.7244015282966,54.511909864577134,50.540425131346396,49.82341891046723,54.0005087750727,55.19943623921585,50.04458613895558,49.11736289425458,45.97997282237982,48.35022304827238,47.38673293097842,43.40024508003336,39.856706550158826,35.9827160754993,33.450412523631805,29.58356550421466,29.341387332927848,30.33687282080407,31.627281934836073,36.268893495435286,34.9751488642252,40.53595179849132,41.148081215841934,42.590394127202664,43.088125060175024,45.5260542639226,43.81927061813699,45.345294195324655,42.14075250372501,44.68538672957742,42.60550816260906,39.686829264429534,40.932383661359665,39.71874001767494,39.13071474661871,39.603910725737514,36.784011726934196,38.11042475310707,34.017575184906235,31.480864357617726,27.480087973261522,25.70734255586827,22.304290824430073,25.58415790854232,23.672619847095614,24.300868525659876,28.71257736076754,29.3473932942173,32.71000254267482,32.47507051204686,37.62155333860879,34.27592312642013,37.21005756750314,38.270896380529024,34.726319382676564,32.624708548316285,28.71580145558928,28.758076024552096,24.300230493683294,26.43027855723498,24.721864114980484,26.60144926807349,28.6516103926174,31.367737246179107,33.077522075395294,29.34427633407478,27.167920893763302,24.289881871473497,25.04987288415829,23.236028974956227,21.36835231178049,26.19230497162114,25.326701995777903,29.149741569877527,32.11215836036161,35.8352109025557,37.36211524039523,40.94763155875324,42.52357685997341,41.38191349305116,39.301818286318245,35.21639828528434,35.6530118324151,33.32571524295992,31.707772580118874,33.30603052778461,35.99867392887786,39.21936257020815,36.22769293040525,34.22401910325865,36.344938281119965,32.97260099785279,30.87548473602399,28.538504625073237,28.228243354917357,23.96488187661881,24.976572665199555,20.89152916331711,23.576023420537403,19.827880842800862,20.92171794625837,24.052046621860843,24.00058242069576,26.836978401811695,27.934552678038976,30.618343686115068,32.94266363731884,34.25831091307585,35.64369886976577,38.93204105512437,41.54273534309759,41.300025961864584,43.60306179913531,46.60291501383479,44.59082451186476,40.98688333176882,40.18091931554615,37.461532326561375,39.01665444657269,38.595044764982745,37.7681502758911,37.147175360303805,34.1848709537676,38.736725997502695,40.46372543706838,41.685270818067416,42.581441308039,38.534224276209805,44.01443791351393,47.16750716570249,44.81105653804042,46.86724438398771,45.06249147427561,50.29468991749345,49.42892340563523,51.20208814698011,51.88951255569571,48.99084496306997,49.03820192820464,46.799454337655696,46.68754287992361,46.871576069357815,42.70489699410009,42.72126713638713,40.105085033496664,37.30371515321251,40.184357450877606,37.53627644266086,34.05368507241315,36.14177758682238,37.87026114561891,33.23350215316765,32.05978573916884,35.28951795546997,35.33342635362665,29.720355766937438,31.25339565616051,33.45955812056646,29.618673301434516,27.62079951464805,31.73631983865912,32.77206444543866,36.683929338751796,38.54839051747147,38.46233139370859,40.98549200869615,46.017714865646425,49.16214052355327,51.01480695549131,50.49907321861933,49.73683306076864,51.88278438222468,49.20334383917857,53.640556974265834,53.13770942517519,47.152547311299514,49.534435935550675,53.487776599863494,49.77876013969454,47.46181236303698,50.88523829301052,51.348178025559605,47.15999899175112,46.10002815033905,42.63300735522562,43.81340640975895,46.550220064838605,45.108732800861134,45.94621124701083,47.26525568577355,44.121138696893375,41.85409933025003,42.93329327176966,41.609393840460356,37.46937785655934,37.8672796842953,38.46308329313668,35.64600073114911,34.1161465532526,38.5976043403156,37.49248082905091,32.89213810542372,35.8771946161161,39.760809454883955,39.908720898030225,42.91153248960886,42.3354164979971,46.44175647275578,44.98690119865407,40.05040482012308,43.935637991235886,45.7863425674143,42.68354794709417,41.81679744301205,47.75299670436454,46.677810547945896,41.818414858469055,44.40380755936523,49.029781559128345,47.15459898983897,43.408697342480835,38.706302635499306,42.572661232123274,38.3203013753597,38.32818585750231,33.123333086275366,32.92148259732473,28.211742877906893,28.54481962811336,31.09190909132857,34.370584107378214,35.144414926560884,36.606066586866866,32.06210349783888,34.39326173655653,30.341022269096477,26.976843909428325,28.50674101434044,27.931874319346853,25.19963537759649,24.42399664898233,23.597956005417533,21.245926802834195,19.77691288096925,17.554650031843806,16.672715544260534,15.603427573440925,17.273172482504656,17.534311199478182,19.19547962537042],[22.529784150977274,22.908946214640753,25.17730755730943,21.82409020937069,25.472683928950534,19.844184338858717,19.902223549589504,20.429534401102323,16.130961391239417,17.402312002420413,16.513446511983627,18.546898463517387,21.570809236949465,18.44731197718763,21.283934515426804,24.206889872404357,25.096625310781846,28.273859766453146,31.255921774718527,34.45061019241586,37.43626954045216,41.8254018853958,42.47951751944504,42.726937727791814,40.420838866940926,35.976981219474844,34.84735512189946,30.75253966027864,29.924404223640884,28.841883504332746,28.3023105957245,29.08267086732534,30.44823451908766,34.232926081340665,33.999093810172084,33.31171786417049,33.61883662331184,35.80257762277633,36.98700280787822,43.15533160698455,40.55787864213816,39.857345781162294,44.21563346759424,45.065080297391674,45.81172711811675,45.99413672816658,49.47258701435761,49.26934556367,46.95610641497122,52.1225624102519,53.15113947290894,50.76613652479177,51.81580500102105,47.0258309078036,51.46078876078219,52.92144607600387,48.83800785003271,48.35802201902405,52.445435854008146,53.32930490489107,48.03595370505166,47.08611150469721,44.000922520314504,45.96803493038901,45.05352648914494,41.274123691801584,37.27785470307911,33.63915317268665,30.633324465125973,26.932130689513137,26.307160598931407,27.00923898422136,28.752549145271672,33.38860225574229,32.634453796354194,38.30334049738231,39.13638633267026,40.89182890576781,41.5339321310569,44.00869289842094,42.73995819638036,44.31032573624632,41.588345040759584,44.09349833082572,41.71457666248998,38.77681144198316,39.56807257193001,38.74630291589132,37.54025189260595,38.30447703888204,35.10063615089201,36.23773966170302,32.279652701208015,30.14175718721776,26.135439139011375,24.312472747823094,20.85541315550987,24.991494761223315,23.548534637567403,25.181048643100233,28.866594194689956,30.21259539418065,32.889442307630674,33.15726438507908,38.128187546849645,34.87684162401268,38.20316319287922,39.08842134779526,35.6466357624579,33.67261409497024,29.646191138830776,29.0056803549585,24.352916983651422,25.76786381401183,23.435219820014993,24.88198485687169,26.589700115721918,28.99229121838173,30.320191366218832,26.86129639997581,24.46565542831786,21.91554614731727,22.716634330615015,21.470319431054328,20.333828513329966,25.427329023283416,25.612499789619637,29.180555579198305,32.42069586440643,36.112905420736446,37.59417517585343,41.430496701936136,42.55683276418784,41.57530996657498,39.04611773450374,34.77681805286802,35.227767463550464,32.31062332242035,30.22822192926845,31.902158116071092,33.9596942132248,36.99682645832749,34.03425027327604,32.38721264909746,34.656998362518195,31.4962254077088,29.49134560826633,27.645724533666716,27.908772537481806,23.94335192840507,25.781187107954903,21.979031031083473,25.298698505057963,22.173996899946488,22.47634824373575,25.1750240685969,24.45535645936394,27.536465408398808,27.86986185849061,30.823303449094286,32.46337594961066,33.35236499964723,34.400984568617396,37.78992134755912,40.39271206711407,39.87672212015599,42.59317225042216,45.40109297514564,43.64358121405329,39.847069801353186,39.336487802203656,36.440423019528374,38.23958508216399,38.010954923075545,37.26864914166627,37.0516000544006,33.825364811117765,38.715392659475384,40.03317998786127,41.555673198877,42.10534298863899,38.53499199840584,43.920557398553946,46.908750504379086,44.29811000923812,45.98187153318567,43.85989215993268,49.04597795812127,47.83808905672652,50.00022889204291,50.82463385369835,48.147308821792656,48.42065092690319,46.39056964835663,46.52105685354414,46.90774422591587,42.71164184037954,43.16480973338514,40.806947876579244,38.21878060884032,41.50188964485244,39.09619847198103,35.40165208243907,37.58258968780437,39.73038445695523,35.213488061324995,33.68551375234085,37.29285288296988,37.79382035432722,32.08816847436307,33.60867464848563,36.1615201206693,32.515024796207264,30.296762081922356,34.50165639052148,35.16651952502389,39.427107656473176,40.57099734204883,40.59036914461709,43.41311719772531,48.27661295060189,51.67995347885406,53.31771167533239,52.838951387770166,51.82452707737124,53.89626754853167,51.0518186300309,55.31412949589359,54.87123972450813,48.72999523228076,50.929272456376445,54.766337169255195,51.025087987743035,48.53635901437687,51.732121181279574,52.177841687159464,48.00812946332069,46.58181000354792,43.57393694158324,44.73901774485568,47.70655596780497,46.70023206739885,47.568242786132174,49.267150466423935,45.904766282906024,43.511130623367244,45.102965264647516,43.861852891765395,39.5026387470215,40.10578125719372,41.10318154617188,38.392972176656755,36.7573706222857,41.430207599164945,40.60424509170253,36.04758502048292,38.90077463980678,42.844440073361945,42.71187020833969,45.57504464917247,44.706798818490114,48.73464802228637,47.47185334978094,42.29264169991109,45.915903453386285,47.83184673590664,44.726684746847596,43.4493061350671,49.411712525605964,48.40190802683992,43.330641915288474,45.60947467393561,50.36071567593351,48.51848026244136,44.63147907589943,39.93574599980064,43.71751116211268,39.39176031238542,39.93893175310407,34.585821509697745,34.58096540994313,30.006174758527525,29.838483594786158,32.146059357694796,35.20713884417274,35.825042636660434,37.64362319785065,32.93467758629887,35.169074277416044,30.879804470785185,28.319468648085188,30.13289793558965,30.102340783955313,27.061793581398497,25.92578276242836,25.71835122024316,23.76307388265497,21.361520875570072,19.907463639241097,19.66167395687341,18.609630191449227,20.129037925167744,20.628523081903193,22.450612395735764],[28.01489294856773,28.48140843679263,30.361029271466073,27.403765426830564,30.15887992758711,24.162468723494676,23.45246851291404,22.722778501679073,18.278490999166433,19.083871035264448,16.83882762817904,17.91645918715919,21.86490877601943,19.08990834473521,20.25014261031038,23.266735194076034,25.29948480683785,27.777616825667874,31.19338850956768,34.2009688224131,37.135755163303656,41.529318895228094,42.34161443251492,43.190616303587326,40.98749650988192,36.632525808106436,35.62231597046695,31.582998857359467,29.8926597184818,28.369559827798938,26.38297639445184,27.41089423098721,27.71940338050605,31.391162208708042,32.03759063592771,32.04005920722145,32.66953193808043,35.59622417168662,37.42149329389343,43.433971476921975,41.47911874184719,40.08371564719544,44.20767198394105,45.69064391014767,46.83602766426297,47.528070153116154,51.005650406893054,50.227698537626644,48.17209691258239,53.51184238288657,54.036048701130554,51.47176157499093,51.997430648708,47.29358210585138,51.099962125322214,52.46404886953256,48.427156310187534,47.44935570655573,51.268323845873134,52.554511191732146,47.13924303003769,45.484113343158164,42.028120062579745,44.256598816679215,43.94041987086855,40.15869069035343,36.206278967899706,32.33540952939223,29.762838665235165,25.617560504650122,25.518007587089034,25.69192414261867,26.73226149117332,31.57836017370256,30.478178962229393,35.493084108370645,37.04051651204947,38.14397678370805,39.388381487167635,42.38455154711138,41.328014661575615,43.631819934781205,40.88607341905538,44.045766206563265,42.12185788857558,38.59072103035897,38.962873066363436,37.44550199206539,36.11655822527603,35.787035825339295,32.56837415261761,32.97366048152507,28.97573243663324,26.769565433286484,23.459025146009388,20.829709193694416,18.3053599645417,22.413214616181204,21.66220702791153,23.10874874404687,27.27524114638191,29.52807912017763,32.28759375278303,33.51462589701056,38.92474328890328,36.459393692262765,39.94591838929259,41.481502100880526,38.52505427067,35.89528984834651,32.50010436354018,31.455022389643577,26.86557071244909,28.441640249024374,25.454007376506905,27.46527982710379,28.32045054395995,31.26634016005333,31.465872638339704,27.49890196828122,25.817909353704344,23.62946394602581,25.703988952089993,24.64467233400806,23.74392724323986,29.006120575085415,29.318472295038596,32.48569986440732,35.63943636288233,38.67942619849293,41.052496503492314,44.52848932168797,45.571059585069065,43.889862622791426,41.98431232781785,37.72048461997538,39.07461494278429,35.95399766055203,33.90889976176835,34.82211468175593,37.07100201078672,39.42312776153918,35.920025348927176,34.46962627514272,36.16056770093557,32.48985161238995,31.083296010418195,28.893823114955204,29.356017794666204,25.45043542395139,27.17936901402778,22.775904722536467,25.372509238491673,21.690060182320487,21.143870271685934,24.298511128499452,24.119797205682776,27.83202574813163,27.949294358151747,31.954460493209954,34.14937523155951,34.23794514634871,36.30293219047118,39.02328820927571,42.41225272929022,42.64379701674977,45.439574330874464,48.57945143565159,47.22915103446122,43.42591474880529,42.65860698060033,39.37827914383529,40.43799017007317,39.62767676799876,38.23355492804586,37.559894705127775,33.8350492577533,38.312324653843945,40.23453228761063,41.985202205577615,43.287377412285714,40.05625642825546,45.7037570859036,48.84114761695821,46.34768150610108,47.4494545766631,44.99682527578561,50.417762646850115,49.773442048253024,52.04960317585847,53.26679588873957,50.48393430311937,51.24846274544786,49.447587651117395,49.77498394372526,50.547130938550424,46.62749226579808,46.966099114328244,44.94417403010617,41.86698036186752,45.28678054152279,42.39965831874159,38.99541256048124,41.79848983609918,43.573676455264305,38.8928542165492,38.272518231198724,41.69192417144781,41.44751245385217,36.194865552244515,38.1534200103736,40.35171639233161,36.32173491318186,34.83447065819724,39.16795220844138,40.13348074365638,43.99543139180764,45.87836867840174,45.4570157982012,47.98949442245129,52.85465085732922,56.21020631467533,57.757047642573646,56.79637134498108,55.723488486066486,57.49593023126525,54.379182910728844,58.80619718423903,58.79744173922235,52.71360542190187,54.60305611999142,58.82087278330243,55.40897659050485,52.70652427776904,55.78021754910751,56.79904545975629,52.767571810531805,50.88653702369115,47.8691492547199,48.22765545332939,51.11109169842965,49.98019195704644,50.27228689646068,51.66429116201954,48.01397806835968,46.24701819951209,47.78785314130847,45.92110063741022,41.88005161824935,43.04788771737781,43.55974378365449,40.656684110077926,39.70980905249755,44.36021007695968,43.125037695395804,38.79429605794806,42.23750401546625,46.06543386645921,46.31810304427285,48.971681850657475,48.00276554581663,52.227509521102185,51.31439345329819,46.31417162893808,49.82887402449061,52.13511432660398,49.23799979491385,47.948449286925765,53.9534294861942,53.36303572147845,48.39788022477186,50.503010098468316,55.41395014238299,53.910104433419406,50.105703456703544,45.494013896675824,49.588833294878626,45.440645682172786,45.71277959219122,40.36824705221185,39.853680137608706,35.10202489037553,35.57108367518982,37.75273128508563,41.01822800265788,41.3407170124812,42.67343836387658,37.640994719824235,39.32343525335265,34.912592308625015,32.65455974152741,33.58718647337424,33.372059885963495,29.560268314293943,29.416639944773994,29.65591044512662,26.880754131358916,24.584925722888865,24.11270725113901,22.781230655844624,20.67438544011218,21.382690672889222,21.27341107865052,22.996487651561186],[27.858978973074127,28.035980213600478,30.206875549086625,26.245066206462084,29.45208361222262,24.05746121595143,23.349375526090494,23.73624628927715,19.02546623858806,19.061318338698655,17.47268315720699,19.826237955065817,22.454066244583416,18.683185022908965,20.73614941021055,24.011902117208386,24.953456149069876,27.33646166867222,29.877111231694684,33.44907147510261,35.99574373264529,40.57276515248914,40.91229502124957,41.34128992494835,39.453439680121846,34.97128955694351,34.411154388521545,30.555166916052475,29.64324024923618,28.96194196268723,27.21969084667377,29.02948215257408,29.904642095799872,33.179358631720106,33.41709623167731,32.63745547759935,33.72279287086316,35.64054019987005,37.08747035852827,43.38367917310407,40.61912971933249,39.27573557812566,43.566627151845076,44.61085347202487,45.2751824322438,45.841830394037245,49.194345401653976,48.85132459893933,47.02736851534533,52.255231477021454,53.21321904720379,50.88163071523169,51.67457942844038,47.039456917038805,51.348137605591425,52.40125500373699,48.23454307533149,47.770060189610064,51.60536238887666,52.33394362465084,46.84345000405804,45.507083344572294,42.3049961714525,43.911023809455735,43.37745613207656,39.86934968817737,35.360992170464975,31.92655341987341,28.559781143872343,24.879713643676794,24.014074107675718,23.964482938182705,25.971189806365288,30.689001492047595,30.47290035843769,35.87216646806658,37.36700489369052,39.13042837160282,40.25695968370041,43.02769634633679,42.35323723384142,44.32369519808766,42.1026243721437,44.865383088757355,42.416444733529616,39.200342947817525,39.30162703345805,38.55986751061246,36.628531439902176,37.14368583795309,33.52198323732773,34.01777782639944,30.241614010647897,28.568783145133224,24.995810024550693,22.719369875140107,19.783934000533904,24.742545673357476,24.132899220631547,26.531667119595284,29.75801343180465,32.13573187460258,34.226398971347194,35.375061806257854,40.353887064443,37.55390885293469,41.25135113981696,42.26187460594303,39.12546076653591,36.997087913561415,33.17016716026685,31.81271308710947,27.09004219093708,27.908470677521333,24.722057588466406,25.936368158233684,26.829992403201615,29.07743876968338,29.37094160102149,26.05634147855907,23.782039551491724,21.882022809081164,23.31554891508138,22.83088888661681,22.57444062117719,27.863007553363143,29.015310745304568,32.15584615246813,35.55987280613095,38.922948917060545,40.71721019828606,44.59762366214664,45.28792474125287,44.16451873163124,41.50924774287563,37.11197457236969,37.939753225276256,34.41451398606433,31.90957927374649,33.31263169031696,34.736919074913295,37.227307299369315,34.08514731699694,32.95427740932348,35.09426068279823,31.963067520271846,30.36434043549945,28.89290232695621,29.791378183767527,26.186641231600717,28.635727080889886,24.841907780148045,28.270054827329165,25.342432839101832,24.733533530948616,27.276421596061102,26.269162860495573,29.798156347023,29.363970703759836,32.99906285449063,34.24227633925448,34.33973658156282,35.49752864714183,38.65086965284005,41.57782348229642,41.10833777338401,44.260909879693735,46.99117270169702,45.670840973025626,41.71210994138597,41.39593055500942,38.19333108458569,39.897638200762515,39.602013018469634,38.65391230520069,38.61290592734509,34.93653741294767,39.908125261846926,41.10884012520172,43.013678621231335,43.572332590173964,40.628797605288455,46.004874490059095,48.88596777275284,46.100180966167805,47.14789950715691,44.564551542037364,49.77728442956868,48.46709513122278,51.07734132688187,52.20858110503641,49.72418645877535,50.42642357830088,48.7050554822167,49.14158719220179,49.86435712453577,45.77693597206034,46.564490252466115,44.56325638552986,41.97993880074786,45.61201596242949,43.21792968444023,39.49356385303135,41.95917839477119,44.26676466930433,39.788232142561704,38.33887388075055,42.12381739775995,42.66611691236663,37.06659754585706,38.71235929308765,41.35138303079615,37.69153063335189,35.573809861457285,39.85061083797415,40.399775219316446,44.739411066755835,45.65924424079039,45.632600540198936,48.55113971916544,53.3041591172234,56.846260350590256,58.32431639923758,57.718081363919836,56.513124292332165,58.42233206237765,55.361896919518365,59.54498747058291,59.30679057742923,53.08424137500816,55.02418422834273,58.89789256970517,55.2586973849433,52.56829991540089,55.5223384646736,56.15464159556959,52.064022522259734,50.18267131754987,47.565684940839915,48.41228424387718,51.52157942248694,50.81064006597277,51.47447909672725,53.33259013764867,49.69745217808278,47.46839676690405,49.410416190534,47.98084248829228,43.603876808568316,44.569256015359095,45.64450077631891,42.92827368876338,41.49062177366803,46.27053457565261,45.456515110268576,41.003054767225464,43.993616541322766,47.932820946927656,47.771316881377906,50.477267141654195,49.385002132383974,53.42576458135011,52.41278760149726,47.143667732129444,50.54503784147154,52.63397755654574,49.600032821460324,48.037534457742936,54.01482800947348,53.183459485916096,48.01060710251489,50.001167030988455,54.8779524472284,53.162826066920005,49.21027711689395,44.56408611726469,48.336797472577466,44.01658578130011,44.87042939012894,39.45429173913621,39.45748052194287,34.94393871345986,34.62022105976167,36.71486001490077,39.644357977542704,40.0605553748303,41.99224225397248,37.08597564181336,39.03055318724159,34.544843341832504,32.72714251474958,34.403805575874514,34.66953095937668,31.14074166562177,30.154089512490536,30.51275404837473,28.50116290042308,25.586468872704245,24.949694587951733,24.641429202642122,23.198293334905728,24.314317558379773,24.67048177707813,26.519591125280122],[32.34929671969812,32.57813373678932,34.69193247678337,30.728950635320235,33.67649202926266,28.256576801939538,27.215688757030968,27.240246961355247,22.450937650251635,22.020958485761863,19.86880559895862,21.968355735867515,24.655980931568475,20.83969346321206,21.953376448515602,25.327314797811454,26.61714661153048,28.32917564011564,30.69526363208204,34.36688616668334,36.609646478967775,41.24197455134933,41.43621750237955,42.13602819204482,40.54210639600596,36.12021020162028,35.91308988635066,32.25559460602227,31.0703050812303,30.46163607514523,27.680397530459363,30.059217301936233,30.3105781844909,33.22058036241921,34.01331020715486,33.42759310592177,34.98671549692781,36.98210713588363,38.73087977419364,44.98180748557537,42.34355456719869,40.48470773715038,44.62788496143121,45.94851697852035,46.669067331372084,47.57134854749555,50.829161431789636,50.26415885666217,48.78237657273817,54.050282851648,54.83068014117988,52.491857438139526,52.996507993565565,48.49941992334679,52.524272353416784,53.33029203291129,49.1628537356986,48.555712192414084,52.14390349379879,52.908665547554,47.309481409185175,45.537377235500955,42.17260162303879,43.62984919983709,43.52316604489788,40.21000266505414,35.463565591042084,32.13424290086077,28.74066121207609,25.022802446853458,24.1890166658568,23.443775807256554,25.3639392564553,30.113871478299334,30.147109407149067,35.06472212974405,37.20247018415948,38.72444107073019,40.32895692627296,43.41109792178242,43.126060697291564,45.51627126109717,43.54282030297117,46.60648878572095,44.28386195275001,40.78925789539644,40.42545134348202,39.50861058122933,37.18573531882775,37.18703014067113,33.37287431745232,33.20665540120262,29.590585483845384,28.205860589407692,25.2190881749458,22.45587638601499,20.266243220690246,25.46579354423832,25.481912995318133,28.048041657274933,31.213492251813225,34.243435887196505,36.12611321383744,37.89016148472214,42.97281916444853,40.580839338308024,44.424071770806876,45.65779570855952,42.75612643776186,40.40825051173757,36.82711384217602,35.162150855670795,30.473368526098874,31.1320662795497,27.51129697534239,28.752669588281698,29.054474118884638,31.317989563520566,30.777284681971818,27.48032998890486,25.52275060141234,24.097179000314746,26.086583807800423,25.97062349177262,26.082824326112622,31.407911418183524,32.875634935681056,35.77716206281477,39.19266108662479,42.26366174148597,44.38441287636145,48.17607488412825,48.69222592273251,47.33677297409509,44.81208272054147,40.3932963266758,41.56895502532801,37.79410851900953,35.15054443391663,36.25407827529116,37.421160992654684,39.45829652193687,36.13352044348731,35.31904024308578,37.22055180948138,34.00560794334094,32.7758286085578,31.3876408664648,32.57237347322871,29.151847445415942,31.72583628396411,27.791906205559098,30.97409466251768,27.9199685095186,26.823785643941118,29.44049944881652,28.538343501393854,32.363296132371026,31.60316001563605,35.75844042808737,37.00469750843182,36.55297084088015,38.02539284162443,40.86172790124691,44.12084030988323,43.86387886183286,47.20671510099603,49.96642015757825,48.93517243066189,44.92803174037157,44.635776692023555,41.23765036958723,42.70320567396287,42.22485484143722,41.01440981639425,40.90848573788504,36.93312421539997,41.7569296714281,43.0902169865985,45.20972769236012,45.991939840800754,43.41451662539057,48.83182157825092,51.6983536604938,48.88720159827242,49.49637565281377,46.62751978655919,51.8828276441545,50.680208568836434,53.51932261277424,54.886487561444525,52.473114870253994,53.48043103585965,51.94863387571649,52.55019461210419,53.48880407737332,49.51742573083045,50.38934573258934,48.58104230293201,45.88482841660746,49.63857495140232,47.12225711674677,43.4725592257046,46.156187330617136,48.40110877579245,43.88487594385165,42.673587152643016,46.44261237614838,46.793499868848116,41.31846376894274,43.08037646023424,45.632647899818,41.857741998445945,39.920014099072155,44.22246659946022,44.855810869706914,49.10826610439098,50.1885879262042,50.07983198298773,52.94021535295214,57.69337376671429,61.23072209709567,62.681432807506866,61.93954193246009,60.690836890311985,62.488988271195275,59.30791248037591,63.516179818819786,63.441363605520465,57.21586855721145,59.01116564561859,62.988447175690574,59.4566835867451,56.66322258257862,59.51495906303333,60.33290859987832,56.29791823805693,54.18224272284915,51.683308443354406,52.240332174768,55.36435509546352,54.69899791395793,55.146851996652046,56.94993647709678,53.1642064891215,51.16760409407492,53.16945538868812,51.506759315983494,47.23360492809324,48.43680316694645,49.36903503580061,46.58834129371337,45.39456197868719,50.17650395497682,49.221595158764934,44.842034683270086,48.03033949980456,51.93554841308059,51.89777135643372,54.53662454312916,53.39028722504258,57.49090089299536,56.606341371323154,51.373397552031406,54.714714817876384,56.93196351918445,53.95587665092357,52.343812732761116,58.33457931573907,57.62615072840591,52.454909745228655,54.3510020148636,59.288033203350906,57.65947801824568,53.706817358985084,49.08214855663367,52.891566220692525,48.58813909763564,49.45203337660906,44.03021974122913,43.96221211034114,39.41552316071679,39.17825540754496,41.227476706636466,44.159957982498256,44.48928008142027,46.361185166274055,41.34534383431954,43.09094136328095,38.533440733457105,36.9597730810076,38.38927877611203,38.65146839263624,34.824721977048014,34.1447570196134,34.69908574323906,32.450243980061096,29.51107981951308,29.200995127816622,28.57789134366274,26.797805028150368,27.616050126587165,27.728231707197185,29.50219241673584],[33.618246705143896,34.315722184511024,36.594822978116575,33.36398379809115,36.66736367983221,30.923695098308553,30.321034139873618,30.026535582513226,25.428557772189965,25.672558907144406,23.405254540697186,24.899318048022568,28.317664699956296,24.91479919450281,25.79260624723218,29.058087657255566,30.804003302456596,32.595959407964955,35.258018081875726,38.76044046315279,41.10957986273291,45.694704336923145,46.01156393354227,46.84682999740986,45.19352864800011,40.79948335692016,40.457873953782595,36.71416063148248,35.262102486821966,34.27330604324887,31.357116567587646,33.34997144238093,33.22472358128657,36.32142457418883,37.425609326367734,37.255436708068224,38.59294838244028,41.074007389265724,42.964081583871504,49.115013006125444,46.77323030610906,44.916542786299566,49.0045067965603,50.47804397727331,51.33787484293898,52.25532004275673,55.555001385092325,54.8853828574566,53.31156303451139,58.61498747481274,59.274023681290885,56.85162239902303,57.26469868767669,52.73038308659809,56.55119177875066,57.483479392971965,53.35989252407035,52.523740800218874,56.08268288800369,57.08822958832857,51.502840818619525,49.52437458985953,46.01414181537417,47.68470540330564,47.76123265603795,44.38103995459274,39.79049751354865,36.32556313041349,33.19527475030181,29.31861602382771,28.726376671917325,27.892860271340002,29.503195611499542,34.293017613184446,34.06811192207752,38.66518456789166,41.01685272253177,42.15803267411894,43.93784010855212,47.18463842946959,46.749082455378854,49.323528398186845,47.06141582014574,50.3122888784589,48.23028205668266,44.611651094583195,44.39601308076178,43.09000855386974,41.04022801734948,40.53441886967736,36.89353375172955,36.48708907708446,32.8141752620342,31.212881904115157,28.49655465077674,25.44133223383514,23.592020424147158,28.314100267705495,28.219125447935447,30.037535119811608,33.93012249829407,36.72144689275166,39.1355524987144,40.76183755911394,46.094980061500074,43.709167089869304,47.3297404149805,48.75018493393062,45.758653265263376,43.26732930313335,39.74297358528487,38.502768045277264,33.838164553627486,34.95063549646709,31.58298546488631,33.08805863578887,33.555392314158496,35.99929352021759,35.54212880234175,32.068135907827354,30.225413069096383,28.63715196623349,30.625626395293956,30.225005743022262,29.933831049955,35.26130766745182,36.12490963197998,39.26798874001972,42.56583307992548,45.69565360133602,47.8691841031207,51.541548016472696,52.358106419822654,50.868394085078315,48.61612485019043,44.252020537973,45.398770099915076,41.906471568231424,39.44712864391709,40.572804798674355,42.03125970999798,44.16884191750394,40.79099853682329,39.824750972557496,41.64841621423318,38.244531832768004,36.99821312449835,35.286019436401006,36.165046221578635,32.4818900481534,34.55518390487327,30.262260965269455,32.908732532249914,29.1578611231109,28.476596682383136,31.60557372635612,31.291895087571547,35.131637052458956,34.84439085393082,39.03991459419934,40.79091231155421,40.503477670109405,42.269056831309214,45.0298390607894,48.38757733085853,48.28606117550137,51.45632006456385,54.329198845007525,53.1467360464948,49.19891826061305,48.76585718350355,45.43067912456206,46.76727878212379,46.134305463514,44.790009768380905,44.366821158671335,40.42893339424655,45.000522791711106,46.72502830689751,48.7160952504988,49.828715699654886,46.97047164645056,52.52304944815872,55.52623185342816,52.85178117556866,53.62265972107521,50.861466415099436,56.19715641566185,55.19719295665036,57.88253377048726,59.2109597841799,56.66451148352555,57.57260304675343,55.911768941489065,56.37206386362596,57.178057077753046,53.17051195908977,53.77515648718458,51.74199948069853,48.90676629454487,52.37901928745982,49.67511048453784,46.14967256636072,48.726306885364274,50.67600379390062,46.04067702138887,45.001459259458294,48.49634907294134,48.51624193477158,43.04932991313794,44.73666188911397,47.00266478513136,43.07977563478127,41.207703529745515,45.34985109536834,46.32354639130427,50.30629809537557,51.94644871317887,51.903168668810295,54.53093576552477,59.48210678767782,62.73337011375413,64.46670395507088,63.78329533840677,62.79839562092608,64.7039043471491,61.68023419278074,66.05107745744958,65.88757233534014,59.768354745206935,61.75290701185999,65.81018818673766,62.24468229751821,59.601827444467915,62.65431838828481,63.41177118171407,59.31426466400652,57.52083479478006,54.67610194755561,55.31673330210815,58.28960642296907,57.2738947969026,57.698420409500855,59.168037300151624,55.53858669243293,53.66889543682945,55.23054567255715,53.45345125704001,49.377740713374465,50.41684030274554,50.957040356393854,48.052335269742485,46.974337637000865,51.56504593197626,50.298080397971695,45.8659946945764,49.17095949680846,53.0121898001607,53.26596955585949,56.08812713412935,55.250638325125756,59.42771890911365,58.30279203690182,53.28241617791751,56.90337980514305,59.00593418958987,55.978866879520886,54.74728903649047,60.73319124264286,59.85470292349328,54.82721430695617,57.04436907445288,61.85818794161557,60.077873143462824,56.20060391837313,51.50879568845927,55.258753982567015,50.8899589858609,51.39760315210927,46.09536629887261,46.078971711114455,41.43612530708898,41.38616506638726,43.71621534946385,46.7635612612629,47.33470934896707,49.099430974418546,44.22647627680757,46.14142466065635,41.69880260096034,39.49463066857742,40.80137869034683,40.624439876660254,37.006839833832835,36.593645857234776,36.631601971695204,34.07465504783532,31.822867393629966,30.84755511789582,29.761900510933426,27.913259474106784,28.74960029069147,28.512211511649234,30.03789187295479],[29.618377245416955,30.40092971171207,32.863855785580746,29.727244231275805,33.48238223152093,27.828705048514763,27.694751142090578,27.83276705928951,23.35431012957611,24.05856893686802,22.343652680744217,24.09811257406435,27.421446955324406,23.988458148043634,25.714525254698554,28.93645831862066,30.2903444006211,32.62554711870416,35.3066506523543,38.822857772377475,41.365695181865824,45.94347081391214,46.300240805597284,46.83695294578092,44.995184235414186,40.52755100974821,39.9639198437809,36.080513192249065,34.96080097492723,33.99683713699535,31.961136864821846,33.55734584280876,34.00414433326824,37.39609905138186,38.00276019111819,37.590730817316654,38.57063988537154,40.88643546474766,42.46918572001929,48.69632465510541,46.135225296796825,44.733460453128615,48.97501606969658,50.14423490644549,50.87330127165387,51.471258647159225,54.82920292513348,54.43518335055129,52.59733465553632,57.84028339513473,58.729045207098,56.34931583249858,57.05649472278855,52.41019023448417,56.54601991230278,57.65776076902969,53.51381649517431,52.8663492317672,56.646187252719635,57.54721268114817,52.03376644701676,50.45921258287887,47.10772089212371,48.81497747166183,48.509151834610556,45.00033055292347,40.50341857278741,37.00631530298132,33.758148513360254,29.96013186639005,29.21715720684859,28.85137928354736,30.713936852476593,35.49846164908165,35.21698375332682,40.28059018964152,42.12203728314479,43.5501407645358,44.92913679245036,47.89889792721406,47.17153390527165,49.34952935751448,46.912250556293536,49.857654703310494,47.607479537175216,44.270852303544075,44.43557849326457,43.35939923213497,41.57383264116551,41.58820060056931,38.04245342056519,38.17999024400917,34.37513710949585,32.582772462740536,29.33847364444566,26.672581692321163,24.167350425094153,28.795648860227125,28.16188301802961,29.838959646313306,33.806025963496715,35.9861284087786,38.59493463432146,39.61827666126103,44.83314763175498,42.014078492197555,45.475593528373736,46.6281452137968,43.361844262606226,41.14414197120244,37.33328092948571,36.44360940536428,31.756777656393083,32.98078248771405,30.03746851439905,31.413030915979977,32.413245722517075,34.71826435331296,34.98246264284642,31.60761660956413,29.41610810896124,27.489567848625192,28.878094180161693,28.231289898184393,27.652452813984613,32.891910896904136,33.455802775863,36.861907563943994,40.147234960419034,43.61627205107916,45.37083486238884,49.16676915728148,50.14843831818309,48.96180277069704,46.50840809916219,42.16862533733918,42.869571534733545,39.613501758864345,37.23928249450654,38.73465739000656,40.28991613345665,42.862391161461446,39.72242156939011,38.529261527045925,40.628847059356,37.37612354024613,35.778095832461446,34.06778505517531,34.70484640796411,30.863125758604227,32.81010368840444,28.657794265647063,31.524339325020062,27.804003327787015,27.68492893746889,30.791908503433813,30.388335398250092,33.93686228863325,33.957562239314214,37.62756459554605,39.31215614431812,39.5468982977016,40.915340201467515,44.01836682285154,47.00123470401434,46.59205278719188,49.620300236383464,52.39105210455766,50.91940738594993,47.0116725207804,46.625955150557736,43.51515045449128,45.16677778352805,44.76922129862861,43.720634501562074,43.407398282398205,39.75476377860267,44.49834895773671,46.050402394655165,47.85003664837275,48.68483954941231,45.49347303888779,50.97512500496412,53.96478981817855,51.28987602730501,52.480859813911046,49.97355117306753,55.23783423513788,54.03818121233451,56.555483058893316,57.63969415228381,55.069655428924634,55.659327101918095,53.814393242267734,54.106454555460694,54.66135108645294,50.51436625331611,51.06214064552796,48.79078658662414,46.14172471331413,49.44488722044528,46.91526586979282,43.299203522722244,45.547252345708266,47.57254663227361,42.98982432758132,41.59636883451765,45.08143825408464,45.351642296341645,39.69514454604251,41.163724806650336,43.50786004788367,39.73133335178322,37.559901601336534,41.5948168904893,42.51578381883183,46.59648519553519,48.04782370673255,48.20864692614127,50.898302164242324,55.88753884467286,59.084412870624824,60.925122409865054,60.48283311737766,59.59805193811329,61.676999751942546,58.837896912860934,63.17236497700531,62.76864270649934,56.66466497797342,58.85649867555314,62.749686877408536,59.023775217909964,56.53773269715599,59.71467932644547,60.180375042255726,56.007699758354526,54.54564534660734,51.58399381152932,52.635851271283826,55.59275078745939,54.522712482749355,55.22945027463062,56.75373173201504,53.321305517044735,51.16885588955194,52.622345353534655,51.13221766191062,46.948582297363565,47.65937606061809,48.33342659674626,45.49128854907855,44.10570177545361,48.65725699995995,47.51714339637127,42.96121558655837,46.0107599508965,49.89026825843478,50.02736452407459,52.99123292298401,52.28351835662029,56.38102212666991,55.02667114308212,49.98684430149058,53.72926768901372,55.61301673433134,52.483739257820766,51.369984934905894,57.32047713119595,56.2069947786397,51.18943010695303,53.57527544768424,58.26633707411015,56.30063259875868,52.4236177900356,47.69367194252857,51.288419192996805,46.84941125091583,47.36048221508703,42.10982593462127,42.31402067633764,37.74148641642083,37.48725033650083,39.93838830673289,42.924812648311246,43.69065205098193,45.61331088482242,40.94973160990778,43.160025962959715,38.830170670293064,36.29032634098914,37.94527534372507,37.72300162122848,34.5282350032527,33.746223360824345,33.43446638443316,31.15855394766426,29.067303948261557,27.48989260032043,26.732827558784322,25.314463401529228,26.52483988545178,26.480076458799168,28.02403021022699],[26.034117157384834,27.052489597915347,29.490528859829315,27.03732398996866,30.90864199824564,25.025175088513222,25.338394580847282,25.282321790507872,21.152341271421236,22.689616520372013,21.218203106066134,22.53364741631822,26.34443645051413,23.461260870346894,25.474918707413906,28.456887183610267,29.995491117224677,32.8368186231803,35.982659812368,39.17082878822794,42.084422326619766,46.525976721038916,47.187985417676636,47.70147298379898,45.5154625187315,41.07789079657628,40.06404028513397,35.98189761940278,34.747711795886225,33.37158770111438,32.023748819858895,32.838940562043256,33.492361777779315,37.29498301839575,37.671034103353385,37.46372531446097,37.87121572394445,40.55840435000252,42.06186349791744,48.15837867461254,45.87208796195883,44.85441328123069,49.115550721895346,50.25926197753894,51.149273982492225,51.536628462873445,55.010584918027135,54.60401962631706,52.40277156654486,57.64110251384948,58.47617945310326,56.00833778062377,56.82049261862145,52.05503410281777,56.1689898715859,57.61102571113622,53.54109088624811,52.77465358956079,56.72324643275205,57.84287375407249,52.46117865606403,51.07375738111377,47.74024117029826,49.81786446816366,49.29784108035447,45.54143964256867,41.46663004614426,37.729395941750745,34.839756574500484,30.90108760169978,30.44362684587552,30.61580207055724,32.15370640852994,36.95723904091938,36.15050427291055,41.36575855870733,42.7745270745968,44.08379339616246,45.16364213805127,47.98930597115943,46.799580138487364,48.79152731202956,45.92800741142723,48.795026287695734,46.70049242038832,43.468349036513565,44.120142792842834,42.836266284416915,41.62741987710109,41.646667279609495,38.43659691034757,38.99530364810143,35.00784795332513,32.806581445193785,29.304048129092767,26.862072671665878,24.06592031830096,28.06122779559264,26.887228084134748,27.89342536279922,32.33385141253473,33.84372449512927,36.95313003373509,37.45045816220205,42.74320787960885,39.73286866198014,42.904193515266435,44.10094708312866,40.704904505776355,38.46993083120062,34.663170233343365,34.28038763182329,29.69171347531058,31.423878199011284,29.010486706524464,30.691985880356615,32.14394196050242,34.70414382778969,35.55716772883412,31.93106848752084,29.774568963538577,27.403780860482513,28.597483154221468,27.406885678685406,26.21088791784797,31.31160756115209,31.121301788695675,34.76069946223367,37.873762437445905,41.44818237721043,43.14707053917201,46.80581738426503,48.13322180184245,46.903751611455846,44.70916078473877,40.48783627762128,41.09151992963191,38.294786886655444,36.276482035403994,37.808344588762786,39.92651359392128,42.793231285262856,39.666760325977044,38.093591451852795,40.17321830375786,36.780144978500694,34.983605934688654,32.90073169518109,33.07183621663224,28.969413460445033,30.380456177597495,26.10525661994587,28.680339271874548,24.652155045648726,25.139137361132214,28.474576561765236,28.43421535623046,31.73931720250613,32.34162422526606,35.675569568031726,37.80490529930272,38.50755436241256,40.010793710841135,43.15871898965469,46.050351555945966,45.77591742445936,48.458224860089985,51.37201951709442,49.63264652142233,45.863491716533645,45.254202842926944,42.30993243001264,43.865923766860725,43.39191493599646,42.36953503656885,41.81106170007347,38.42717485536138,43.01102913260378,44.78814279683523,46.316367454064334,47.309158469136186,43.67585602091234,49.214819492692385,52.324479056432324,49.82750389625107,51.418884735057425,49.22441079507849,54.52192656712748,53.53685885911305,55.70136471846451,56.61696559267914,53.85951813147054,54.201488381556395,52.153339886872125,52.23353748399673,52.59564603578966,48.434589656297206,48.66869253549616,46.18321179720994,43.419521041768924,46.44126624152575,43.79143380269514,40.290745083089384,42.43532685135747,44.21543662949583,39.5768718388721,38.3536080893762,41.61226422837697,41.648738374682814,36.0387831447903,37.49687676896594,39.65298731471467,35.79892215679789,33.73582283266571,37.71541307270117,38.82846254219975,42.71217874327888,44.56572367429463,44.65442539649654,47.171122296090104,52.248604794564805,55.298408342421844,57.25728109930905,56.807303157939046,56.08073659289807,58.22371210473533,55.51445953463305,59.949311438254234,59.47506077592097,53.472957364832595,55.808531144352656,59.754876769277544,56.03203234075473,53.67523317293679,57.022948022058145,57.46949071469648,53.27433873035756,52.09482559019831,48.80299741839544,49.92625426151569,52.730946366310086,51.375990487954745,52.11754238327153,53.4214905173659,50.16884985720813,48.032508490605245,49.15811139931827,47.68383230525652,43.61017178091504,44.136912233098144,44.61181955823125,41.73321555295017,40.35126887693627,44.780978144051005,43.52145483054207,38.93921960272311,42.00989442292087,45.85280965452236,46.120828377558375,49.168472624822954,48.64183584483506,52.76633882997515,51.278813796272715,46.38239219250107,50.28502456270766,52.10792942611723,48.97728886906538,48.119328808324596,54.0487666456094,52.887702449484436,48.0035948263192,50.590793624602036,55.19873049183254,53.21456234125389,49.42844234513953,44.69324557923055,48.36568806612316,43.982832812573136,44.14526098281328,38.975953748642326,39.041791802352996,34.3934356818214,34.4452888972817,37.04062514025405,40.179432224561296,41.04124657408746,42.73213643292999,38.181724338423955,40.49079989298519,36.32101579195042,33.23657507946571,34.775224708288725,34.23919252456545,31.30569284250878,30.654830320510083,29.94933046342307,27.51811124468162,25.954332860677365,23.89559823320292,22.878148390192866,21.54273465224261,22.89769228012174,22.78432887813556,24.248063517534874],[25.241989677130668,25.99481129187753,28.668004544613527,25.43360946585134,29.70298496769017,24.35120613044096,24.738733572539907,25.55772515417036,21.30824695851946,22.385942683990983,21.465813511473783,23.620200680065754,26.516172650720243,23.049485187878563,25.748172433708948,28.847911840393376,29.59411638950292,32.45387557860939,35.003852399511224,38.5247673004483,41.19911187285557,45.72442550862867,46.07497713469494,46.235383085576295,44.23568219311513,39.73881417333504,38.98319481648018,35.03486149777045,34.396510347611965,33.59052736373554,32.580725873861915,33.828750848327864,34.958929462952,38.53912355519255,38.54740209527441,37.77453844315877,38.417335689223265,40.376404969860204,41.552066487771754,47.82256335956424,44.948506367405614,44.07024021357792,48.44948546410993,49.22245560930966,49.750922283950665,49.980725174737906,53.358715073172725,53.31274037218813,51.228526520210956,56.35038029220852,57.53191421758333,55.24614882277995,56.30076448085889,51.579177011832066,56.09039362950518,57.34584555755177,53.19688570721194,52.82755795834821,56.817465071639305,57.52641580688575,52.13108626307876,51.052144497744315,47.937458743825474,49.59698354419374,48.85077021245383,45.27175841843176,40.88209495843126,37.454727440708766,34.066572848924956,30.494255332410496,29.540161999369946,29.68020895507962,31.839977807512472,36.50058928262846,36.249165068027295,41.774952031748256,43.03187906700771,44.83386893610532,45.74825527309644,48.35443833955629,47.37379214232976,49.053019128111295,46.5343854629354,49.05876059471862,46.572512470427135,43.62614484073808,44.161544932443796,43.45682270732419,41.89633014177942,42.584959354181464,39.13830932801748,39.86660015512377,36.01370612166992,34.12737035052599,30.369764985815607,28.233758564401604,25.08195965127513,29.582642627540913,28.42793559521114,30.099339824010723,33.86786210602544,35.39492488262155,38.034609105318104,38.39426746111781,43.33749671272885,40.03314741043629,43.3310443551161,44.0927328215302,40.539767057047335,38.72845803118094,34.58122793688116,34.01904126363695,29.369805725101134,30.572968136721666,28.147472713846735,29.241692426418478,30.82704777661753,32.85112954884741,33.934774110041566,30.812331831888677,28.232202400638815,26.009131091608893,26.593910840927233,25.740480633428866,24.925414056140237,29.95030752404767,30.30443133296389,33.93925797163023,37.21203492220638,41.05738610226932,42.2545199336428,46.218119240894104,47.30431956992973,46.53866848934848,43.772974302840055,39.48410766779744,39.61786357174005,36.60124605168502,34.29803914936494,36.24325559358237,37.793595628552914,40.833182794315825,38.040218022695214,36.64686565675369,39.072160920237174,36.1067929973124,34.124781458048496,32.54830477475479,32.973233262000456,29.089485093753744,30.988699604819512,27.203002119050435,30.41854394440077,27.01857310322278,27.438500209448254,30.301458413341567,29.64571589481782,32.77425775311496,33.02041254862156,35.997433452927105,37.4284928539439,38.2288992704439,39.01807486547274,42.511505970475085,44.98813498268946,44.16085753114493,47.04843468777383,49.63370221228919,47.86599059898027,44.01473777777553,43.741085778659325,40.917465153808116,42.981883988549505,42.91878626664338,42.26935191105728,42.18059241153461,38.89142683899733,43.83580460192165,45.066393520458355,46.667344633906396,47.077442605517554,43.60976067732632,48.91830390769831,51.82838074468483,49.12974795321844,50.75329009726133,48.52580134874479,53.638554644236095,52.15120301530765,54.50668286354893,55.309340235222315,52.772301109402946,53.008299497314944,50.99160146071479,51.12218883709808,51.40451488461016,47.110072576084654,47.67007161257003,45.17523285965314,42.82475309399392,45.98079820486732,43.74459004091928,39.99780681118708,41.83626048235074,44.042177313458374,39.58973462456375,37.67828047712789,41.22081557890826,41.920277817082166,36.04349269816181,37.23008794858546,39.75645986927468,36.24189574671,33.654520077163404,37.57159206370449,38.312151904128264,42.59522094833566,43.614348333716194,44.03346340195747,46.86983206761562,51.836101864261195,55.04135230027589,56.93273549761921,56.782172599287435,55.94893027804421,58.207221779872334,55.55983843262103,59.78729826345433,59.11198268933965,53.012467514170275,55.40064601435702,59.05196229018573,55.14242191168666,52.816624723044654,56.0783415276255,56.1900779693132,51.95035843162714,50.81748587753779,47.827218629376745,49.373523896252685,52.342630025177684,51.31569802495943,52.37430503033995,54.05364778852818,50.834288529852714,48.3129011845831,49.753446371668616,48.655422102031906,44.312804283493115,44.658298527297404,45.60899338571078,42.900643791887475,41.105822500783624,45.633262962694616,44.748404526133605,40.085320341061255,42.753022837658655,46.67869651184141,46.58217394371027,49.65961946868617,49.02816433145301,52.98618774737093,51.41685624724687,46.30733368145344,50.10784396357837,51.73895314788474,48.50071759465819,47.427554249180425,53.316912965732485,51.95076817600993,46.911020818122665,49.41360227542241,53.973461409047744,51.81089257023353,47.91447357390688,43.16058592092883,46.554650126890316,42.03701259688944,42.67432397947437,37.461403383649184,37.96411527324348,33.53797091020611,32.92480163288758,35.4511584117965,38.303957630815965,39.262584907263694,41.436521726712684,37.030903054997516,39.57021792668466,35.38383957235439,32.61301626064349,34.76125774421254,34.61528525653992,31.944333058474967,30.60646770335382,29.983440472368482,28.21482648758419,26.161878303322798,23.974575309913366,23.84831613736621,23.073338572535622,24.73505398532835,25.041872146679285,26.635176472498628],[21.587589446177972,23.045786777354827,25.86370856126512,24.1205332252918,28.82617186758485,23.25757863234131,24.602854373214218,25.147407191474198,21.657243931423793,24.003175577043436,23.414038758095327,24.791513489563425,28.38662614495286,25.771235538837356,28.6337856788634,31.377450778445436,32.45002315224697,35.84309465321727,38.94425274095681,42.03567678661958,45.11923229430659,49.45608556441053,50.16563466700849,50.32776406066911,47.95152660712441,43.528715091734256,42.24514613557073,38.09459576633588,37.271664416606335,35.89763937321367,35.61791485425389,35.86710254536952,37.087413782825486,41.14408565091684,41.00480828193505,40.60142087491141,40.513182411115686,43.02337557933237,44.124552806074206,50.15912367508458,47.6991003656583,47.28892600822866,51.64855786484148,52.41550992182575,53.14856439215711,53.11572307396779,56.614623432963484,56.55431014247946,54.024318141155746,59.10389750186019,60.208526894547646,57.81801030288918,58.98261939537519,54.13593147369599,58.54882033492458,60.226721101985355,56.19563559857704,55.62802909496163,59.78734474973693,60.81077529293381,55.590235815414296,54.65969662936713,51.529918054884185,53.646007432167394,52.73189018157791,48.88277781888272,45.00967872078616,41.30967334192893,38.392610443291424,34.65139219723622,34.06630801273526,34.6705893774055,36.40602314016604,41.087708638659144,40.230919246903206,45.774522373588155,46.65739098765652,48.195025789747625,48.84307271499643,51.32930229367967,49.778653876462656,51.278484284982305,48.175761229367126,50.62703875159547,48.41342855222362,45.5995257835707,46.75754137370562,45.70234030211692,44.89640640387372,45.41737444812117,42.41256661756179,43.48581000100823,39.44651247403484,37.08068445577068,33.19522257346245,31.208318897096543,27.945512322124355,31.528522190656712,29.74648156559051,30.30414504757775,34.824290297655025,35.36593267042963,38.78884862842954,38.371732770168116,43.4114628328828,39.84033555262901,42.593720500691155,43.40990465384797,39.628040962236874,37.84563643207859,33.726291187573146,34.09235985789428,29.69331943928244,31.673989593949642,30.09985421945218,31.581405167450683,33.74797606999515,36.05058078854568,37.82546197399808,34.43546241425909,31.961090831356582,29.254495298311223,29.553140722419215,27.992672640148015,26.294052906985236,30.956927748317362,30.041723743719896,34.056599437436816,36.99255134058333,41.01968128552874,42.03188415730397,45.75892157584458,47.42687101423103,46.641518028513275,44.28481433711172,40.231601110783636,40.111167220433366,37.87262360349419,36.11813025389922,38.15575630517862,40.42749275290331,43.85161317340743,41.12716480139103,39.25967849254771,41.634911473573865,38.509248590539116,36.29433892155394,34.21218253228123,33.93565598093237,29.716763477843323,30.67723747189663,26.74592304189406,29.30135358206491,25.325009811372638,26.796663744444327,30.050388993771918,30.074109161451325,32.785417196572,33.951751618945,36.40081125482825,38.517332293023074,39.98523123739056,40.966516769721174,44.48409787257242,46.80452108416523,46.13809522568779,48.50252149878218,51.24038262841029,49.054187624905424,45.44601765790537,44.87693793630929,42.36650804096648,44.30704955530745,44.14007300021025,43.52660330912591,43.04556703848176,40.17063592507315,44.78301680367153,46.391361091679656,47.58160163311877,48.257403466035754,44.14326135207124,49.49419850311838,52.567778089116935,50.16034423628399,52.37035340128842,50.59949318241957,55.724140470618174,54.531154936536,56.38420320023053,56.92497881983321,54.140287278848355,53.97634768260644,51.644159326420436,51.41951790334676,51.33853743194811,47.01659139788935,47.05267926724753,44.13501444655083,41.679632670511396,44.24062694452827,41.855558622801325,38.336286506574076,39.82179107427733,41.565186308364275,37.059805985441834,35.317311858579835,38.36043414319942,38.68541585060567,32.85346019204519,33.837261524459024,35.955053619999255,32.370833242340595,29.81424562688915,33.43598350594352,34.61314433083317,38.49082507424656,40.2612951123119,40.746574462382654,43.23269652961568,48.41861841625563,51.21812029878933,53.473674070942344,53.46522663915936,53.02906279817546,55.48423821864665,53.175381303397906,57.56690675905039,56.66744586128209,50.80180125191263,53.52794883727867,57.193462906981104,53.234289500203424,51.22771346034816,54.81633408317755,54.75840883553586,50.46457584959157,49.97822607011262,46.40416274299797,48.21751777078733,50.890759101663065,49.326911991623135,50.507111436846834,51.746843811060685,48.92620241653599,46.42116369762251,47.16731038811495,46.145236475073084,42.059593093467754,41.95188710625286,42.474645444913634,39.709128803307784,37.87294024023805,42.06098241367262,40.90343193438503,36.16679509472743,38.77244632215068,42.59542591501911,42.78948730556381,46.12837592405745,45.96928820928426,49.93669102064118,47.96841747282625,43.19695763715733,47.380294761469244,48.75650004730936,45.46210745520339,44.99189932219715,50.785735787915726,49.16086367657863,44.41405413982001,47.402847396053936,51.698018730607835,49.34944037960385,45.638723767063006,40.86584783263899,44.19764587354744,39.711687816591166,39.69473694502763,34.74680435729864,35.23745866338571,30.764148339855122,30.538684867647003,33.44602792094675,36.47250203513946,37.77833735827601,39.65908432381768,35.63977735652169,38.471495443072165,34.66309896616626,30.806657504810513,32.85455308455118,32.051131890446996,30.0748844114362,28.924748778505858,27.350425852317727,25.401479204163408,24.572411830823956,21.11327990424436,20.565658583946146,20.172330066367106,22.14493649750776,22.2431557886874,23.505713038186357],[18.75920879898077,20.506343791715157,23.503278573957786,22.346424470224065,27.45028366985869,22.17791795029691,24.141056276289333,24.98452330795067,22.01276291865783,24.8010102768024,24.707635753976106,26.03234567408316,29.471752349891393,27.124811240091752,30.37271801541875,32.919430324841265,33.76154787494708,37.447009184403164,40.556191751868695,43.51748905062201,46.71380580369876,50.94376172443105,51.72104101493391,51.703582264237944,49.19258328737233,44.82131736965568,43.34384232105799,39.177309410127265,38.55642618956124,37.15060658658414,37.502567722830555,37.37493352500947,38.903524191295446,43.09300899454128,42.65557967746331,42.17420816668665,41.76323425298774,44.19791445190315,45.06899966656982,51.001172118311054,48.509587457461144,48.47207592025519,52.85278829258667,53.41645111614054,54.08960719988586,53.80826877196405,57.31730541321734,57.43251387509384,54.691838040097736,59.65685023334482,60.88530474409551,58.5356168865369,59.8943215148275,55.01576371868821,59.559744351672634,61.3950230293733,57.412943159113276,56.938799619450705,61.2103904497615,62.2071491155298,57.11644748265052,56.455816875921485,53.45319543404268,55.62865821677709,54.484477673585715,50.5772764123577,46.89593217689269,43.210485491724036,40.360839869359644,36.737417637493195,36.142110504972706,37.02646152285726,38.78695378327411,43.372147117878164,42.42168987146536,48.11558864912056,48.66277105425955,50.29810556142384,50.67699036537111,52.94954971686059,51.16386363897388,52.36793823065247,49.11457509432476,51.3134585273499,49.07068508167075,46.515545452719444,47.989739710934714,47.0415486370352,46.520365099470496,47.3050787481901,44.467013043089274,45.85115516805019,41.792641885054756,39.32102364588421,35.25295397165352,33.54595621872408,30.06909509324902,33.329947746532426,31.215719431132893,31.48906607496834,35.99835396865255,35.95254338291259,39.53597733331824,38.57377555571794,43.417241964247864,39.55666159569136,42.02015282264213,42.61794151185826,38.64556674050911,37.13912634239289,32.90200873756408,33.739904911871626,29.543038638545053,31.685606318540724,30.663005059261337,32.05797189451796,34.61610406198109,36.79537487837883,39.096835429396144,35.829910946888845,33.24954712821493,30.364256356596226,30.18380152742981,28.38111022459429,26.36617896592441,30.656642527591394,29.247021519032877,33.42837242789887,36.19843510455315,40.4377417133498,41.05440876594407,44.76427223196082,46.6485376289649,46.10708841758532,43.7181350938062,39.81796670593856,39.29577303715569,37.459929339929815,35.93158734487503,38.20577710259411,40.62489635046062,44.34154501098586,41.852065239537225,39.79582206947223,42.2891227442569,39.318146181856406,36.89035855984721,34.790595084331656,34.22278549951952,29.993884682992125,30.631433794904115,26.977360980048847,29.450871863335006,25.6106079042022,27.61648398011362,30.751112812300907,30.827267686002738,33.1393709187976,34.64455407170612,36.5385425217844,38.66967029577159,40.58503782832768,41.29947543249007,44.97762016110593,46.96301285074893,46.12054968129966,48.24214512522105,50.89043945437224,48.44369402918119,44.97561009551718,44.39541015579432,42.16622910683256,44.27376956205184,44.26145807104153,43.87683223563011,43.41533856704723,40.87720111429914,45.44322899585936,46.965122073709104,47.932788394356756,48.44789703380267,44.05856392539253,49.26562483397832,52.31126262917098,49.99344874096801,52.57070949981939,51.080182168786735,56.08214060901305,54.82115284226094,56.44464140120314,56.761547525204534,53.95303964424609,53.48524940342452,50.98960516550604,50.57329937801804,50.227166191804244,45.84942010974818,45.731950226847935,42.5719306793579,40.294935275749474,42.54250875387093,40.31591421408556,36.83151890439084,37.9148876304289,39.5981228748372,35.20536802722053,33.196040127920426,36.06311952058689,36.537539419921735,30.631198567311003,31.32400130513683,33.39224600732196,29.998065265010517,27.173036976223752,30.55139865415672,31.76935944827992,35.61120640119489,37.35738577054989,38.05300790593375,40.496017479949835,45.72661402707933,48.372490341970405,50.78805257892198,51.02165449364058,50.75750238506417,53.380939687308214,51.31555094759338,55.67060656769077,54.53363596407091,48.7801663407507,51.72287657841017,55.22291629382152,51.15260394412222,49.36369788372146,53.08787712307023,52.753828932225176,48.423880473389666,48.35757724255204,44.6067396942875,46.79754905361695,49.36409593569054,47.66583755733197,49.09032371972929,50.272961617167006,47.72932126204604,45.02992617777445,45.53481715560513,44.78610823521452,40.72814665348102,40.241400424920556,40.786118379198676,38.11273922640495,36.01905967701659,40.03027343043308,38.94908755721315,34.158842325309784,36.461209257903775,40.25000263756325,40.394942754844756,43.88429273086181,43.94204523925646,47.79846917135322,45.56228677973132,40.89398224467414,45.22353618230401,46.337963212610624,42.96787123081917,42.7423597262087,48.42948903462101,46.55250225463773,41.91916113414673,45.13957410861383,49.23271140174426,46.69635990530381,43.05604166159145,38.289085355725504,41.43085946514175,36.9252566257857,36.7511204683127,31.968627938798722,32.67303960938744,28.334378861026323,27.998945719355895,31.07706304272904,34.04045955386247,35.59571346615818,37.52620123474493,33.863028725743355,36.97048457105128,33.436083832689185,29.12313795330077,31.42482856676485,30.451014805840497,29.097923797586745,27.68395882141183,25.583385440226326,23.965772974969948,23.644968007703756,19.375262216857685,19.143586492760903,19.385520444572652,21.666805336639037,21.913932644042937,23.021259093955358],[21.913531242995077,24.052296019221657,27.358391892220183,26.606969558797694,32.248145334661686,27.541271605974423,29.86851126125539,31.073508279330063,28.237363910160163,30.91047604693796,30.93147094338682,32.429045996235836,35.70044381697517,33.1123424155206,36.463989621258534,39.11584284448886,39.74331556520751,43.33821591738009,46.126849540664566,49.31238150225104,52.32442896583723,56.63393910486813,57.189931210393894,57.00032726563801,54.67184878305129,50.26479263152474,48.99972882781413,44.926957984698525,44.55420634637582,43.361928688479466,43.61326420834977,43.71616509934331,45.21336335553039,49.324403940660545,48.9386195238522,48.334961043461085,48.06201394319372,50.274836068701774,51.02975317926648,57.02824683493205,54.263864239140965,54.261950208271486,58.6910705427582,59.08117738568753,59.529645658037566,59.149400712327406,62.581469525647066,62.93990524026176,60.27879338150436,65.14657626727059,66.58664441300957,64.3474288773276,65.82096016419958,60.977886916124774,65.67234572291984,67.41678733899973,63.39364078804924,63.06783033761342,67.32909901139999,68.15718239280164,63.02819801530764,62.39778971281188,59.42174810826652,61.37624261187731,60.24821172589406,56.460861120254386,52.52703446640555,48.99915270249243,45.85476960766315,42.3596817102081,41.50205539900763,42.10562404247409,44.2057434269846,48.789716286226685,48.187811543071255,53.88173048555337,54.61123600060202,56.34781105516435,56.821494343013185,59.109700537503585,57.44578063717345,58.599235749877565,55.4403637838044,57.53356478543673,55.16951834625965,52.72669262762122,54.13678978771153,53.344092782192526,52.64953264469181,53.5129614161128,50.530451366985886,51.745635148721064,47.7334771876048,45.3961695701194,41.391785128212426,39.55373759030623,36.15260279495554,39.64359257185824,37.61974078923017,37.891156914728626,42.43813435585004,42.33432396699181,45.92731481090311,44.82508462222787,49.540026474657296,45.509506853679156,47.81110155340727,48.17526354016227,44.04639433078956,42.842090779614885,38.48875059774557,39.54967345664724,35.44872616648001,37.4273331771385,36.51060660315383,37.580150503111376,40.205328464656034,42.02637443641861,44.38603171299675,41.42592300822578,38.6352353819248,35.90746276446836,35.371418180901294,33.794511094006296,31.95638363155459,36.03889135714799,34.64817931361198,38.8876348253385,41.59662663705744,46.04163875922474,46.189983365432504,49.98604707585898,51.92486504226939,51.72055208648005,49.09545502359136,45.26754315763173,44.26037920366186,42.533495221571364,40.918286100490995,43.53417851849077,45.56942844122283,49.43391335056344,47.20813162660026,45.27548545589904,47.96655273552737,45.22474448713453,42.71201098010874,40.83424599457911,40.30718690237808,36.15427491152334,36.783929968900686,33.28422290467638,35.690716438296455,31.771645686540513,33.96660458676808,37.14804905429534,37.238997382277866,39.45876479098242,40.98167290609909,42.68329185592044,44.609352460308486,46.64221599740712,47.00225455450615,50.8591092468667,52.56996526385867,51.34879733247956,53.49941454504529,55.881771373380445,53.29088151288492,49.86325314946625,49.50371314331414,47.49047053499496,49.92047685391226,50.13663661892634,49.94684637472055,49.61923271721877,47.16471706649138,51.786714847026055,53.182585306764636,54.119591239628186,54.422486194939374,49.999186246859296,55.053473081878515,58.00389841023082,55.65164522655007,58.3623127262453,56.9189002797432,61.79431526529742,60.238211700049014,61.913709696601885,62.081326384780816,59.39780375782266,58.729980434566066,56.16439329315114,55.64322258618249,55.04978119758715,50.58285571802264,50.49173084402702,47.10263352954288,45.19479206111686,47.12135522399209,45.19381838258531,41.73099146254256,42.23780098631275,43.920576490585866,39.762682741450874,37.26075248559961,39.88277204142399,40.650249458422465,34.71519637210894,34.853571123467034,36.78608233107173,33.79440153611279,30.53713610419156,33.256428976191586,34.53538132865999,38.22824024819383,39.7632520469728,41.03622876260045,43.39585642419732,48.65106553420114,50.90724230635239,53.68255899819805,54.442176257091745,54.49492388047805,57.39042078658353,55.71221991316096,59.95816462043554,58.43653466136723,52.873412950575435,56.108134986916646,59.27182162636066,55.002513103571054,53.542344590194844,57.37139133154405,56.52207452129664,52.15322474960981,52.645506942706845,48.86165280228779,51.62602818026566,54.10811928055622,52.335440661050214,54.077631127794525,55.199312108089934,52.97845083046727,50.074755720010415,50.294276233720396,49.85441354086776,45.88420364392971,44.95017115667241,45.4563640358444,42.89609195872823,40.54788607134557,44.206087579886336,43.13570080829754,38.34402829755241,40.18983013159903,43.82756659549461,43.979927341937056,47.715989108612625,48.15830428570976,51.804298687621184,49.10547718432479,44.6800916208941,49.19800836838098,49.819700475217864,46.323976645438094,46.47768366793619,51.91412023988008,49.51258828472243,45.08652265744855,48.63281829114078,52.316667789774776,49.34055349286552,45.81233588203979,41.099117390817995,43.593513939421435,38.97470974427297,38.79302049274209,34.4581840087588,35.845339311726185,31.929974087856706,31.04847721997648,34.332049429616,36.92501882191831,38.954073853592135,41.24374994974593,38.17650704939483,41.659153537640584,38.415344029749846,33.83139953155926,36.52360938629736,35.4154450498702,34.70322421032301,33.00810348801511,30.408825691288875,29.21375003308314,29.320339638648075,24.399436998542626,24.46852546954271,25.144787703869532,27.50922824954993,27.664070700520934,28.481718495212963],[17.43438037894981,19.851481085482188,22.925848110329248,23.159538220947695,28.513909156709765,23.595734563482125,26.26026362757472,27.07164207666807,24.833852177276583,28.179997312961333,28.375462689482468,29.318411046654976,32.89775707923611,31.018217627392076,34.35831616032686,36.666814501229396,37.5478485472479,41.467528617233114,44.73515220434863,47.476405926160055,50.83045474454771,54.92625297863605,55.84870051377345,55.75814350655924,53.08283638299867,48.790969842561715,47.06772610181375,42.87255986623237,42.267212875426566,40.6455390008257,41.46699587044457,40.82487357852671,42.443544841752896,46.82129103500376,46.25219506413506,45.91231497790846,45.09557641440286,47.70909498420521,48.45158249434288,54.1829829994638,51.86995450366902,52.167289936211695,56.51452778162645,56.98881848629761,57.70126285208191,57.20250630991431,60.739896319265384,60.941689608222966,57.94819208674241,62.80560778446634,64.0567294907509,61.69782266585688,63.176109627984445,58.27321592066926,62.7903194836548,64.85629688388597,60.972751573557396,60.450220462193315,64.80583127521254,65.91963060166982,60.974209901090056,60.46565189703616,57.51090342918802,59.86965733773945,58.59591741761455,54.590337001583634,51.180937665154346,47.42987901389325,44.78039598790487,41.1642199627143,40.684068675043,41.76258601394322,43.39788736461245,47.94198307251623,46.768062518396334,52.46440637056239,52.78529731065665,54.32533104305993,54.52219064600578,56.665408947407435,54.570929778080306,55.58314937405439,52.040345649981624,54.08441791973973,51.979823971202556,49.617190640429,51.45966487482573,50.4038607737292,50.30031821459172,51.077871059553665,48.49211295732463,50.06901612269911,45.96401404416165,43.300821726169424,39.201277432378305,37.627975964154444,34.13242471547383,36.88390518346594,34.45984268939279,34.09941180102799,38.874798190316525,38.139017484048026,42.105393415496,40.56193705614094,45.28006730029607,41.224239700477106,43.20426091726013,43.708177949528036,39.590135445642645,38.28263456434558,34.11767798428816,35.650301855601455,31.801399406783176,34.29806270894718,33.89352543922585,35.35741896506567,38.2411227729442,40.4203177786766,43.14117154674611,39.87830559995969,37.32401020990798,34.27005309792553,33.79596511077518,31.70002996115824,29.28487054260884,33.09862495462304,30.90203542872703,35.22201480124334,37.664779780604455,42.016868510631156,42.30328217499145,45.818772027292454,48.0873649826238,47.680871614201024,45.50760165081326,41.868967625204576,41.00736381353969,39.77483965953712,38.6150542408867,41.01284511146132,43.72486929793101,47.68353244251206,45.365315075451385,43.081595962268175,45.57794703603625,42.654756261857976,40.086291796795805,37.81514894398625,36.833207472869375,32.566647370189315,32.5855004352216,29.106966238692024,31.077760865140913,27.111475529958323,29.8100418652971,33.006453372277946,33.45221080708332,35.341894604395684,37.38809803637153,38.76564908528192,41.179655150881516,43.54982302511694,44.21409137089912,47.92491155596662,49.663859137939895,48.79744844741935,50.548691358998134,53.1732690279665,50.42756890124962,47.189938302586924,46.49439536209603,44.59068659275556,46.70374320600793,46.721333262196126,46.462541523770476,45.831154555875976,43.663733852803034,47.980631410695956,49.631995194353095,50.29832822321116,50.865069922341455,46.1019239414835,51.18318528871917,54.25492412767849,52.14611601443664,55.13854562883931,53.992077535523336,58.891854627530826,57.7265210276085,59.015035189068776,59.09624273790561,56.19564871814669,55.389743312751506,52.68633997721477,51.99367099584701,51.31432369384409,46.954622577118364,46.485543189156225,43.00122694188578,40.833623215267586,42.50191852656077,40.336873716150656,37.08734448694058,37.66752194531473,38.99441770230399,34.7503072689767,32.706734888916344,35.0527895559481,35.37761156011152,29.61093521860263,29.908155025295784,31.58458831772355,28.383407747344982,25.45484361546017,28.274133835407408,29.82488557323842,33.252402548141305,35.464237042579924,36.390569017952785,38.51666643543569,43.857191998726634,46.06523442117924,48.83738453613892,49.35462586779964,49.4782968382871,52.31599029589279,50.649964491541986,55.029429221382536,53.60516303980051,48.140731849955856,51.392219456162415,54.74320541846412,50.61085743873405,49.18083980356936,53.12547427387624,52.50346798041119,48.174404874397574,48.751619836081844,44.63415750216587,47.190196844990126,49.48681839729404,47.41798830694602,49.04454844381314,49.907228887097055,47.8024479589465,45.0485278626007,44.96752128491899,44.43665907284861,40.63941344790488,39.646251907361474,39.90098179993911,37.29804536012217,35.0701715453802,38.63368936966688,37.41587644273578,32.6444167760745,34.63823558528839,38.2508368176965,38.57935431963235,42.307663289021114,42.83898060132503,46.568919899684786,43.902057913587136,39.614841563580995,44.2259634404473,44.965538028563806,41.54966344909485,41.89368829500874,47.35285480085424,45.13689183268298,40.845376202445124,44.48014205494889,48.19956203545113,45.42231552734036,42.00220061598353,37.31561279230705,40.168742235940826,35.73578490115498,35.04807616206033,30.706368159852087,31.601969610792356,27.495962328993674,27.291772018321424,30.63563592730833,33.53861950833118,35.461765254582446,37.243402399248154,34.15758377831191,37.53211415217913,34.46636765071633,29.414842429141512,31.741672735056163,30.283800600199893,29.78386414886157,28.393866291114456,25.46534113905921,24.024149695590168,24.78958040836219,19.526738781130625,19.218674205674116,20.06644339035604,22.515257947321146,22.66859105967194,23.357175876849254],[20.857261080341804,23.14267586884836,25.884451428930667,26.02155096094795,30.794852923398665,25.23003617341481,27.331803379990923,27.36524741902153,24.78410900353464,28.063123914899677,27.584567495481387,28.085224603299412,32.30875755456857,30.52835177027761,33.21190623847904,35.602943422619575,37.10023538911541,40.77480035166395,44.35198828477003,47.03425486153618,50.424898173240315,54.57454652421883,55.60792605255382,55.86309699234835,53.201625722912134,48.88419073904553,47.18793561691164,42.92123409071656,41.821222039905926,39.90290625021939,40.03318370709696,39.42803236436138,40.51639280559175,44.91285241360904,44.80169439073837,44.85929936676216,44.1610485033307,47.265323879053724,48.38954096811454,54.11479759061287,52.16416055563544,52.06394447716045,56.3333075697976,57.19222670179017,58.16096679798696,57.97094443582829,61.55908972509468,61.40141471860244,58.52436276522395,63.55815502968426,64.50208295204044,61.99961191018091,63.17032824980884,58.258889931165264,62.43381201375295,64.48096036154453,60.59496452355997,59.757702657701266,63.99614170980383,65.37717650591463,60.326862682016305,59.40986393242137,56.22246093151989,58.76774348516139,57.8195857344153,53.76446252612176,50.36286093560458,46.4329819856067,43.98518043524424,40.08359047199445,39.8574679880785,40.708196538608405,42.01864681748976,46.71269442526697,45.32716517650182,50.71321748358504,51.40019045696621,52.56954674074457,53.084895918908586,55.532262626045465,53.50531147930289,54.95069666283144,51.315477112032426,53.78122957242979,51.93942811245678,49.18634919314498,50.84033987294721,49.34960501696205,49.22638592119941,49.39126363634033,46.819876891501636,48.04084942763133,43.891371278340706,41.13985714286332,37.35273790323762,35.40599175961623,32.29819296919851,34.962436623086184,32.77014154578568,32.151157259714,37.381704659120935,37.05599424666721,41.22368419529968,40.185252665038284,45.300129355150084,41.66157138060747,43.7989697645177,44.77772781779235,40.911242893682164,39.08471491093321,35.22774809388514,36.485723831084066,32.484920788401105,35.169084024736435,34.300280700064924,36.15804752888877,38.64972165723284,41.223326949294396,43.3755949135182,39.73970792169813,37.47439772631338,34.48557629458554,34.724766357525695,32.660011896287195,30.304680729977598,34.52188751944516,32.434282781734936,36.635454197072626,39.13635124210481,43.15184668751124,44.098617183459424,47.44582567557059,49.68585844992546,48.77584448839419,46.979845179416486,43.23477054262252,43.00499008801495,41.52770298363354,40.310747009766935,42.28684823038654,45.187001753093256,48.81015360005439,46.095915195492864,43.87241850005278,46.087625106064884,42.785383947564746,40.49101361443644,37.94124146173307,37.04505230802016,32.63857511188215,32.60181763848934,28.573475506635056,30.15149369924499,25.58617679802091,28.02608143054387,31.64697087834811,32.47770501945437,34.77856043644182,36.803294339429854,38.842734719627515,41.684557239319986,43.6308409625465,44.93556006332607,48.32149679224652,50.59144491400744,50.1949959626045,52.05057273089662,54.95332016758979,52.44883336748307,49.11949546154351,48.238411213236255,46.00690840553747,47.68592328949743,47.326531743961894,46.648969895266006,45.707037240233454,43.20872716493628,47.33446446888856,49.40538866077022,50.20703134484589,51.27270444227698,46.62616209840201,51.985100789734965,55.212870468188704,53.14741200944374,55.813937576422845,54.44494690273463,59.57022836315017,58.754044616771374,60.13469495376541,60.47983081094943,57.463191465280175,56.98265725166188,54.39632193473599,53.84117236771435,53.44312527946815,49.20034046984912,48.66305086011109,45.392388486722645,42.79083512881888,44.64820691399737,42.054807177706635,38.93604615087055,40.08367061589763,41.16815340964648,36.681819376906105,35.35979008129074,37.67053326710811,37.371888888360495,31.859185853345156,32.62768949185739,34.06661610615075,30.42042121552901,28.148226839623515,31.24597705869983,33.04268989230706,36.18826441252043,39.04300706210841,39.53534913282334,41.46056603811785,46.83952633270649,49.058475767877965,51.742901722302356,51.83409283429778,51.893924363287965,54.50688399340422,52.59085287621735,57.15301573517648,56.07214619370291,50.577325868064904,53.60864759722293,57.30760925605831,53.39645956309158,51.752926946536526,55.64165168635643,55.48176796258217,51.2095290439646,51.37980264839663,47.21791457501234,49.16579898547429,51.44791948318114,49.263307601747776,50.46198061043556,51.099325133821324,48.74259477710377,46.42011640862896,46.306276614842034,45.26889482029916,41.64301842293068,41.09299120313134,40.961903766954634,38.13960863009757,36.44063220981771,40.0809359025412,38.48788812474301,33.80661835778015,36.3929076620704,39.97184368872133,40.63850483358858,44.22360398903905,44.65733070252203,48.60958315380206,46.227224074976704,42.010112484474455,46.573737998363,47.67886197781436,44.40747193238796,44.68678386422334,50.27036493988346,48.421061248961756,44.136798278269524,47.61814974269481,51.55159279049363,49.06582189786152,45.657041054376876,40.98063295113927,44.19219116754333,39.87312735090757,39.02815945699822,34.56260936873122,34.95105277429012,30.557069306272883,30.910261987641984,34.131139765418546,37.28327241955325,38.903266327353016,40.33256437395188,36.81065212639449,39.795350818493134,36.47925422928363,31.616273852393114,33.3125492484959,31.7134280121778,30.498081824091727,29.8038495677804,27.262754743765036,25.025788742313413,25.729471392625534,21.205192035593317,19.91417961923699,19.824322222216384,21.84936413304631,21.525720027114268,22.205296711740306],[23.762461993493577,26.311800782391582,29.19566915914892,29.637315040574972,34.685649686740476,29.341571055348616,31.618474838696997,31.76653987632121,29.221226628797304,32.443210226716,31.93909391717137,32.48165612813052,36.71195918020588,34.800887237795095,37.454100474118896,39.92397845587405,41.40685257765242,45.00388436432264,48.46785987163263,51.27145642421951,54.576543083037926,58.78889275655365,59.72611672176469,59.94841878952585,57.381204611027485,53.02666128726165,51.442495885030844,47.19950031245658,46.15173324241914,44.29130928495756,44.245509550867446,43.766391801782966,44.730143678329476,49.08884200850126,49.10221143302806,49.17623481849809,48.562420869557435,51.647249664929866,52.773116135061755,58.535964496896405,56.505031453787446,56.36671508819135,60.656878153001806,61.49148763440982,62.3812424318122,62.178104433095946,65.74553639818454,65.67046485533609,62.839506235338185,67.86078891091755,68.86690985473705,66.38254668296128,67.56551186683393,62.66594182280409,66.86064061617216,68.86580322094372,64.9582931521305,64.1343713297067,68.34969294211417,69.70274506509219,64.6107759695606,63.62736694386369,60.40304578484528,62.872100080497745,61.99825667134408,57.991482550447856,54.44764481763165,50.5628555728683,47.98059325320054,44.08579060541761,43.75512275506542,44.39906679002857,45.847021830187266,50.582723348955874,49.351768105805824,54.67321703973527,55.54497190775405,56.685647335195995,57.32200628152918,59.8410520015209,57.88019223114093,59.37781127582227,55.75427336029231,58.237793879616,56.38504996276402,53.62895459170262,55.23255159108971,53.734034563621144,53.52786089387074,53.60454828949816,50.96134599660296,52.00612277499412,47.8728587868908,45.17723437424151,41.496294234071186,39.39565158363564,36.41101723871408,39.18786165997959,37.08877824641993,36.39750911473754,41.7354872576781,41.414137755028634,45.644783983307036,44.57912875737208,49.68136237379428,46.00442781169969,48.03252768331633,48.956259042580164,45.0263027700279,43.30024770489837,39.42665641674301,40.81967174341399,36.855076238159356,39.49949893486969,38.636993318441164,40.38159411638864,42.8743352192627,45.3226610372761,47.43360475447391,43.89254349946876,41.542707862553385,38.63301451890301,38.77445293767494,36.81890632467308,34.54446970734768,38.716749794138074,36.604710638287635,40.85190367596609,43.314862676643074,47.41040984419609,48.176584999352336,51.531366919533525,53.83928297411922,53.04089275133966,51.19397266939555,47.47970583242554,47.05335190810688,45.63202118135561,44.369358036012216,46.486225009585056,49.230128814318604,52.91025537508649,50.27329191533946,48.111076924283175,50.40015030445185,47.1535475313697,44.84235435681402,42.35773904653864,41.47828180274035,37.08073155649836,37.004144757899965,32.99279558724686,34.44057129620077,29.75841562709595,32.275982554011605,35.98459084098507,36.90505065953319,39.19805053299361,41.25706539154862,43.27161086397771,46.0902783853008,48.06152245232373,49.27619563534008,52.719275761197764,54.919599560393586,54.39183580551087,56.259136257771324,59.06914255601998,56.492547032115844,53.17564771053917,52.37563690937366,50.22515299070377,52.018965120740134,51.723115947683354,51.088514047676085,50.15277830568929,47.66485550896466,51.769366228749135,53.86121378485974,54.64821385278585,55.6928189282539,51.01224310841544,56.3315451017187,59.54236646995495,57.48139814774169,60.202897790381485,58.84182787420435,63.941602480860084,63.028719999557566,64.43542565766626,64.72780975595931,61.74054110076504,61.17794241633039,58.54800283008026,57.93115704547171,57.40894896425109,53.12931818643509,52.55740765412092,49.15141081643919,46.6912781759092,48.334655966223536,45.840803892846516,42.780861194317396,43.64014032005045,44.63670013653023,40.2611121745203,38.77213387462306,40.8729452782705,40.60932874239102,35.15062556388502,35.62523349273545,36.88208259450933,33.42908912349258,31.007640642837657,33.678234555306766,35.60687702116265,38.537257327227636,41.474522942695444,42.255583041625314,44.03795418742477,49.45435166638488,51.3584358177393,54.30428066493601,54.66564602425058,54.96537722903813,57.72406267442609,56.04586504310864,60.58682981560122,59.30817346729291,53.96149044684576,57.1646064982746,60.72057893338206,56.72521698764279,55.27850937737979,59.25280051673444,58.846932889221776,54.55621887851325,55.05207103575461,50.81036798476695,53.0218308376239,55.221316948791355,52.920115967763174,54.24480211975105,54.752039381933265,52.59823669168408,50.237607312541414,49.867882580666326,48.94123676724342,45.44305763049735,44.64992610046748,44.376844938238335,41.59662059288368,39.83680822527967,43.203916059178866,41.52063657195709,36.88153705602119,39.253801255900534,42.69187224066513,43.46670104597485,47.20143840190332,47.9191661511542,51.769127978263775,49.10468102982551,45.111308728677905,49.816737257667995,50.64894390913679,47.326931354809254,47.90003813283132,53.33173526614603,51.19627884779002,47.08335616099365,50.78724164796796,54.47505797350778,51.75287625189697,48.4408256665712,43.80204003616843,46.67298715026846,42.31616055933628,41.35796205205967,37.18585876685903,37.89950820738723,33.71866101794349,33.86633682860706,37.22315347894062,40.21369697142844,42.095176498796434,43.655083749518035,40.45016655343146,43.62135276346714,40.460520234114746,35.39791584562063,37.227935414761404,35.48331112741339,34.61040324922864,33.85258075893992,31.0162499305053,28.933467603905854,29.93731514128559,25.072020197743505,23.871626296551764,23.98295068715969,25.985505892960695,25.547236336176066,25.9891177423856],[21.135557635644375,23.95240437416874,26.80172018257689,28.034680386548008,33.163016929089814,28.149989460802086,30.89181255055563,31.156905526057468,29.165353400660642,32.76777246988152,32.65277944250571,33.06132412014719,37.18119980136393,35.61058757301238,38.53344011725836,40.77994967185627,42.12046643318206,45.986149224381656,49.53555917847728,52.14113165192464,55.59409332251956,59.66727862464495,60.73056488183345,60.82814322966628,58.08750621002912,53.81108493199063,51.98954105213155,47.731516476247734,46.80133514461593,44.84737886628662,45.41165864713378,44.503729549494594,45.747866529238955,50.24612964438093,49.9691677023907,50.02033553772488,49.048374041493624,52.130604475394904,53.06338172572614,58.66363787830194,56.707814235172776,56.92887440561802,61.20601859455423,61.88971064388766,62.78331071063938,62.354036580887296,65.94135324126967,65.97610024015067,62.91103026772312,67.81729621449324,68.88195949805547,66.41531357470657,67.7557530651242,62.83802503355766,67.08940719516258,69.28623349770461,65.46429552567588,64.68266847412029,68.99979961867162,70.3815266999778,65.44475633368286,64.71508054802881,61.609895333068444,64.20081793428967,63.10428496451279,59.01324023673765,55.733201294043766,51.82495621703098,49.39368361900819,45.576520130898906,45.30653625787344,46.265549262356785,47.65000108883479,52.297738263310706,50.88604348270674,56.33675769652193,56.8436126102864,58.03752935830437,58.388623143067484,60.69162616634243,58.45869380748724,59.67440432555074,55.86699920595128,58.11758506238673,56.30305060957342,53.78905101063974,55.72715973227076,54.27656337270824,54.413700246798605,54.705146558668204,52.27525437269376,53.654699319503145,49.494749796767664,46.66368231432017,42.812755920859026,41.00220041390012,37.820946402967465,40.21918619184242,37.799900123825736,36.79557264856282,42.104697508605874,41.191569957985095,45.58344893880603,43.99695595365456,48.8930986751835,45.01099833444812,46.70293941645837,47.470143632016175,43.43408976897293,41.93127956607711,38.07129752470145,39.92791343507031,36.2375628379706,39.07629490760983,38.73714814712206,40.480616511151496,43.29040830585588,45.70282589254999,48.270857433120185,44.77858276505365,42.40860642543397,39.322721844007155,39.13511249315541,36.924824693770915,34.34275366011954,38.11698219127952,35.48570236623593,39.80148565567934,42.03163048505607,46.2225074433547,46.69170513434234,49.925678236152855,52.46977904228853,51.831047501239816,50.08082546577079,46.57110217978443,45.865203733787254,44.89081423619348,43.91707476234714,46.1423648281295,49.11899203035256,53.01650098090421,50.55629857198335,48.19136019292232,50.514779742376916,47.3726666781022,44.90523888103197,42.34904490197952,41.1631700178677,36.790211831496094,36.33668778223244,32.60801607861355,33.871886132315076,29.37579509392513,32.371917722676386,35.92816782896621,36.94089911039705,38.827627697995204,41.23341651772044,42.72593276836338,45.631222784375346,48.00573365090876,49.066457101657974,52.57985596797177,54.50720080621737,53.91911510467963,55.49149703665857,58.26244876424782,55.46020277524035,52.32825887085272,51.4512706203884,49.568155037359126,51.40748684332284,51.19380334457823,50.73221819972987,49.75631173157681,47.61565710608997,51.5961329708025,53.65359241571174,54.19805588312183,55.161134321163566,50.21825012194482,55.38426038838876,58.57648073202907,56.65707711309941,59.720504169423876,58.65782856339357,63.636574356950696,62.75731826269908,63.88644936837144,63.97394774615653,60.93653624296241,60.0985395232356,57.321570910320304,56.51149582276766,55.752545468458244,51.49474736337508,50.705799150244395,47.10763232587821,44.76491139250026,46.04329328118583,43.65459283211235,40.732053942303146,41.24381950911116,42.06161804919392,37.83376855830157,36.27472902129126,38.075413515530904,37.80557757256857,32.44849932128883,32.67360518937338,33.73992060348137,30.477688462377337,27.978496276766165,30.31833253686209,32.37172418765247,35.08374292959694,38.20207062510877,39.086069214061695,40.7090600641821,46.13807252202658,47.83539759238356,50.930626712392424,51.459327644766645,51.95012196415634,54.830529584031765,53.39909177441656,57.90719265599368,56.44395223512436,51.27930341125624,54.65534393375779,58.080560522834176,54.05617732307217,52.83044181463201,56.91683427555288,56.32697101860102,52.05778840081735,52.943804927989326,48.507567478014074,50.9698126397553,53.00460633843403,50.52484193954351,52.022369352456884,52.40179219321712,50.544767184394104,48.07923565103106,47.4083619195093,46.708746099146914,43.329095285823044,42.188591841071585,41.85031523791294,39.17529566737042,37.24998950670725,40.35689202613558,38.703011134984614,34.09188891007745,36.181118174367626,39.51795277711787,40.313195090269986,44.15714886609979,45.11435256485467,48.844461591744036,45.94931280121691,42.159299885482085,46.97991592333933,47.582850999838165,44.249434870001295,45.11656021852444,50.38731147276342,48.08060110567164,44.17400758221997,48.077637808771094,51.54076627612394,48.718120147487994,45.5483249244784,40.99310213248576,43.72467433217369,39.46802331846661,38.21658131685188,34.312083733721565,35.084504389075676,31.088153406129944,31.330441557878824,34.77915544229449,37.72359805660866,39.77435011742782,41.21444758272071,38.38370819188345,41.70432910737398,38.87296935655932,33.413350316867145,35.305282731074534,33.33913704768322,33.072476378669826,32.21379393289949,28.913186391508425,27.08376715417389,28.674429922953742,23.25760099231331,22.196682344461767,22.83804129579808,25.031992601409154,24.71999004350925,24.97243507899096],[20.439367696991752,23.480050393286106,26.072668266068064,28.272416833363877,33.17008662351015,28.358401070981593,31.382387651199387,31.434085481819793,30.010150643264307,33.96875712007341,34.01054503642444,34.05110830077181,38.27082150337538,37.1663360648503,40.06288650214277,42.05949189926859,43.50577065750615,47.533261145923,51.29558956414797,53.629539597084324,57.25191963059149,61.16615294121647,62.427460655069524,62.54022783392384,59.617626018402916,55.44169300514085,53.363017643721896,49.08204839033574,48.0675599600336,45.87946456708312,46.826575199673655,45.43776437155531,46.739256038506724,51.36991519835275,50.979693509965664,51.199674704157005,49.86313394484916,53.157423956097794,54.037201201835444,59.40423813843263,57.72524309892132,58.18496064904569,62.38642072169835,63.072007446942955,64.0836704653379,63.54384004908263,67.15153533275794,67.14696550114658,63.89069284094331,68.72779246441588,69.70881114332174,67.1900834281358,68.56111055797884,63.63072975871237,67.77028094051202,70.17619882399792,66.46398278667256,65.583736670059,69.94831021262824,71.49486047966288,66.71642412143258,66.09224512842398,63.02868484673947,65.8391009213885,64.64706803199664,60.45325167072612,57.505064128105346,53.50872836308385,51.359674394090284,47.52800485247874,47.443926955737666,48.64000014179896,49.796070285344136,54.3805276889244,52.67649398356514,58.087759542087696,58.34774874572007,59.41204849645508,59.58343833014981,61.76647706809432,59.25248690972991,60.33637461307556,56.27801168916537,58.44003399991794,56.813216635634554,54.41977399314276,56.65913243364341,55.059426549948775,55.60031528491161,55.83932164163432,53.68653478502007,55.26918161751883,51.088160458720004,48.0814932459243,44.22903583276586,42.59176889027192,39.41616586861932,41.29726274625783,38.64315059723984,37.13284592211605,42.56750409738838,41.129732810433445,45.7817783196804,43.80572929287882,48.597378153303254,44.692519313845466,46.01282284051893,46.8120257624697,42.7918731049335,41.33492032503143,37.681540061911086,39.98219975893558,36.608244264995925,39.740141264619304,39.82495521615854,41.72618117989429,44.705571782129404,47.2342329474144,50.05640422199854,46.477747560592455,44.231625380361,41.00563831584116,40.75306737428208,38.285114024509845,35.39676988930954,38.82628931298938,35.623322784277974,39.93287655064911,41.87553655549917,45.988966826829,46.39789160738662,49.37188445769617,52.19113681006038,51.51069322445062,50.08027749780654,46.80025529083609,46.05006125119809,45.51936330067424,44.87506400596195,47.02379604822266,50.34587369351092,54.328698788477375,51.908591428782,49.34620409447216,51.56464685879995,48.39239253650212,45.885638645672046,43.138251615241806,41.629666194789905,37.273283757560236,36.323057940807786,32.74991570300843,33.55445478376757,29.079838796298564,32.4869945185023,36.01102306765584,37.32049811542278,38.87374730276496,41.67498799521722,42.821419776465135,46.016726616638564,48.66420313476584,49.83400295519723,53.25622167484251,55.087199386042165,54.66382372581498,55.90929925321737,58.75320560998197,55.799610216433784,52.86657199161042,51.81078501269076,50.11302680276329,51.791031846429256,51.497589349380696,51.0497403034206,49.87784018798203,48.0247904432315,51.71865094556506,53.931160999839065,54.233841136611005,55.33425511629017,50.157742790866905,55.23458239070513,58.46415758658667,56.75544914866094,60.07314801056379,59.27343964877336,64.19227914567895,63.52827879422227,64.35728150535618,64.32333016680383,61.1736317193059,60.15319805838661,57.260820349744236,56.27740603885281,55.35612116235073,51.197769122283006,50.10208566769612,46.381504787603724,43.99121762565103,44.87385807614035,42.42302498797156,39.774407967214664,40.103626627848655,40.549944573587,36.434768051161434,35.15927209114065,36.51914346485005,35.917004245892336,30.890584016704203,31.008511590850443,31.672411839599857,28.483149553655984,26.252888464748523,28.242430943109664,30.582411072915583,32.799056303276686,36.48887652313754,37.28302351439973,38.56631357824488,44.00342402630986,45.394263911155896,48.649180522213435,49.18335170686162,49.906548806974186,52.81987289214787,51.600201287822046,56.14216472991595,54.615638677433466,49.7055017181251,53.18431917993849,56.6012398165965,52.667246515363836,51.63248200109164,55.82640133844425,55.22738271830719,51.03068740608576,52.22064161286023,47.52912344752565,50.0014557970847,51.801047003208176,49.03457874123887,50.53034695759277,50.610819000227636,49.03494761776057,46.67436078151874,45.57370773122961,44.91855789464831,41.823234841335726,40.44949027754872,39.81003814365862,37.186568984011735,35.337776209746636,38.08580420582369,36.274492475250256,31.80426035779052,33.791392466338664,36.931330959220226,37.941223149348296,41.83722810863614,43.07450484853337,46.736257546444136,43.68703499024849,40.24306110618412,45.16879453086263,45.64589555063491,42.391029200186665,43.62141443689672,48.71186067489103,46.3724670976843,42.76964687187264,46.84169790368479,50.096280376615326,47.30115685118696,44.34150090227326,39.9291836635926,42.639429750155344,38.59841220029747,36.885375459761796,33.3060510076365,33.89880687291979,30.04930403983946,30.68418210718931,34.15975497162333,37.138127731506394,39.2467942464833,40.350556056130706,37.81657247742329,41.11596900776992,38.61418595992279,32.78098896684195,34.424635061242626,32.1074711268897,32.30613762435912,31.670168620646262,27.98264895516614,26.139483802487668,28.462076141821797,22.78991351177128,21.50299083439353,22.416257612007957,24.61785566746144,24.253554900220923,24.190225777579105],[17.54416609736208,20.65693414116743,23.345204219464733,25.84631229882501,30.94141935906861,26.636988505972553,30.011101089753446,30.482708970395844,29.401685056041238,33.43215991739956,33.91112368504711,34.14813078327095,37.95541644039585,36.911188928703154,40.184820254392534,42.06199823804398,43.14039533819455,47.34159315546175,50.95653294840225,53.24214931956414,56.87598856030957,60.70060117147497,61.942578362877875,61.842613888904026,58.871091701518445,54.75853335201561,52.598636421476236,48.37514931318219,47.64864090443198,45.60507596859157,47.08011314266506,45.57447714049537,47.24211861735849,51.87276926526919,51.148350929522266,51.13762390892486,49.6542007455018,52.65956607599827,53.283638626932024,58.581134719436484,56.7432145838833,57.50771292424839,61.72315943322322,62.15991494808299,63.05226436850959,62.31716191659345,65.86912666262452,66.04780051393084,62.70251140845942,67.38182640499642,68.53373254091053,66.12714044479937,67.69693093210073,62.76191797164581,67.09778153356557,69.56520824031348,65.87293537768778,65.17563485038846,69.6285754836735,71.03084556027846,66.3660999066561,66.04054200297688,63.1471420892085,65.88402317096113,64.45553803545603,60.27834740370875,57.422731930201394,53.52675703696705,51.33579103778258,47.6919490237032,47.507652193910104,48.92263637194459,50.204714651214694,54.659865672405665,53.013469120777536,58.61569088169288,58.56202378950849,59.847467631992245,59.759770186110906,61.70491407478245,59.09743125004999,59.86231792967936,55.83411502228622,57.69157592567719,55.93685512284454,53.82575019007456,56.24154435086394,54.905569013945346,55.540668200637626,56.181404102333026,54.08175398203548,55.95624004713326,51.80379716607712,48.82403351525243,44.76452886013198,43.419570352468085,39.99514567164993,41.826401579234314,38.98748575241312,37.60161549438741,42.70657010638129,40.93339062601175,45.45532988702246,43.09922692516701,47.589540692912585,43.42593899322727,44.58408270230905,45.07186154454582,40.91761263603532,39.81962070620827,36.02912408337512,38.563023057506506,35.37874440856653,38.43202234328658,38.89700907722411,40.59311163557369,43.826806414688626,46.14241944884976,49.361211260220486,45.99383622180604,43.62769944821837,40.34409998719036,39.66855789165887,37.12844792208175,34.15016535893648,37.21424533976055,33.84051291536591,38.17664742113139,40.003849296523086,44.28058570983895,44.26763581206206,47.27943156422125,50.15030245591918,49.780899066199424,48.181459322389955,45.0384739764684,43.90828819483647,43.6340292072125,43.11974204179564,45.48143173926167,48.769089564688905,52.943323807197146,50.780188931619485,48.14150266600278,50.487897540351454,47.55647392990749,44.88720592782158,42.285261907070335,40.66614036552587,36.43542853033862,35.44073947862352,32.28426798460932,33.291576299405065,29.269793825785317,32.84664734140577,36.053318923482955,37.130826911572434,38.35695374460782,41.21221718857122,41.865322736216704,44.82416631929812,47.776416489320866,48.56787206993483,52.151391996098596,53.61274700185976,52.951697970472345,54.05120719872087,56.7314434133356,53.61646777922884,50.80471568489025,49.81885083172249,48.37213581643518,50.2644331454053,50.19288465812119,50.01487077208109,49.016204165447704,47.435206852962864,51.19321249582503,53.14138825709688,53.314287112029724,54.104977257153095,48.84746187102021,53.70630631876245,56.82751568398764,55.13690506660607,58.6970019605068,58.09520015419455,62.84282952277014,62.019587289708355,62.714106512989574,62.492147032026814,59.41200041554712,58.1487548301476,55.17482112587636,54.08296087378969,52.964322853295876,48.76269517436948,47.655322696635906,43.8084322642283,41.6891082158879,42.38922444582513,40.21757912316839,37.54496731301108,37.49002114128402,38.03418209376996,34.12370274544823,32.4470850894753,33.749168889402455,33.51792258932384,28.412889645798682,28.21293435181365,28.980256841101607,26.13052294221022,23.52852172180081,25.282032411057095,27.48643380042035,29.79565292600828,33.13356503604566,34.16050499683275,35.533104539654865,40.92691212794229,42.30944924465934,45.603223493541336,46.38426889091679,47.15206966965917,50.195488734129626,49.1492894440168,53.55782919536216,51.820853184069954,46.973931793705496,50.57999655632042,53.76694051807439,49.73124693480368,48.852011124967184,53.07815890758847,52.20756019466298,48.002391167166365,49.47598824431455,44.79118565955095,47.6213840672818,49.39157291552793,46.68122468189253,48.44397201094252,48.655509179326884,47.272807927799924,44.6456240523795,43.54113173606317,43.238901004411446,40.06577760474106,38.38837789161231,38.002073211788804,35.55545824824621,33.361734562602216,36.021357157211256,34.48785910526885,30.00034279119522,31.550810369745786,34.68857251482977,35.46179401814319,39.43010663256083,40.73157518794993,44.22621027157097,41.006704957274216,37.550576122997214,42.48766147091989,42.72911432082863,39.40628037957746,40.705453621151605,45.68218301495847,43.136928993664355,39.57910346452938,43.74137465556547,46.83344412187679,43.897401626603326,40.97101271767875,36.59899952759942,39.10979333460492,35.067554910010784,33.36003183703626,29.920945921713773,30.764388504270393,27.156116982717464,27.543411692255695,31.06346790220048,33.88272269636555,36.15936332155272,37.38358530271101,35.18476666449578,38.68316019964619,36.4247687969012,30.450843913067278,32.42650690699159,30.17402145733126,30.895048029383158,29.86140657729489,25.90590990263815,24.614329121994828,27.063234745993476,21.00823631274211,20.321043293649055,21.85137500885139,24.3735959096547,24.32672188795946,24.306494167709772],[20.675775613865643,23.905498855816383,26.492867733812222,29.428587641790223,34.51269841249973,30.417935948623764,33.88444810759009,34.30271948606079,33.33805949147937,37.4098576905589,37.84483108060969,37.979047217063986,41.884464007482165,40.88228011574486,44.08285443010986,45.956841345830135,47.10959150003011,51.298529462738365,54.934011472933534,57.217613677847275,60.857544023181134,64.68031435520555,65.9328118422671,65.83727351640924,62.86296812607169,58.74970428329068,56.58408608911613,52.360172502759106,51.60677705210813,49.507943832974895,50.93284299378473,49.36652043130964,50.93642319620142,55.594148346233546,54.94556077346205,55.02438594051088,53.49042889638349,56.58505769554047,57.21660635517518,62.464535012340434,60.684356189311956,61.47903844936508,65.68481224563489,66.12852942261492,67.01356736183247,66.23676886901316,69.79033905097658,70.01032402648744,66.62812939533893,71.29293694231343,72.4446764831914,70.00349808253642,71.57844870772472,66.65947211822167,70.94856831600941,73.44873364110944,69.78989943249866,69.05938320021333,73.49943469724803,74.95523553219671,70.31049287706833,69.95165597186019,67.03070359191396,69.80475757546266,68.41009112753439,64.22022673552092,61.37187418879752,57.45606157506029,55.27366375039308,51.59599400211157,51.41640475720727,52.757504192773375,54.04364246914651,58.536782123563775,56.876664330750856,62.41996511998834,62.43278911248548,63.6375686903848,63.59045326738538,65.56650576910344,62.90981134197102,63.69243473922975,59.580995574368316,61.447312597690185,59.76206268963229,57.66778896033493,60.13589366952049,58.71793209122198,59.42633371377331,59.954424362147556,57.89174196704688,59.69693252809432,55.534328145422485,52.51962895018283,48.535192473849825,47.108596255503976,43.77550875265731,45.53706572208642,42.7048752469482,41.1113820608154,46.361391468601,44.47155876671561,49.1198967640253,46.6682857586019,51.12197588421347,46.974242628411425,47.936457235370725,48.41963540598317,44.27300357489852,43.23439685407964,39.55224989728725,42.27384201908411,39.208755848309586,42.320250293696105,42.86846514495705,44.565541202382036,47.81839211454335,50.11480910224085,53.34655340703859,49.98479721045124,47.61501379799068,44.34070781778801,43.64049692314133,41.103735580151536,38.10692285316816,41.072795407536425,37.549356982222704,41.873469320542604,43.57739596212247,47.837446301164526,47.71279784212043,50.6108192903635,53.60962950931538,53.28139237721253,51.78369908415198,48.745353319977504,47.504171059548135,47.40081722096205,46.9550448162231,49.350926657103514,52.646735906705636,56.86467517640904,54.743597255783214,52.08968229211876,54.433260003779885,51.50544230123887,48.83358958597979,46.19921516480971,44.50776509734875,40.287494561797445,39.13161252954887,35.992289761118485,36.75085870780735,32.640615760524874,36.32846709404174,39.60690295081,40.854377714983,42.014857614926164,44.9973980196453,45.58161079582154,48.63400633617876,51.653124597418554,52.46009295530147,56.028100294228516,57.4460510423025,56.77559621850092,57.77190821803295,60.4187809624993,57.21912698704175,54.48972336484935,53.49548679325246,52.15276013425161,54.041635569193545,53.964406479350295,53.7953655624592,52.718596497719986,51.216746543606625,54.851628395418565,56.890634325222535,56.979879385079016,57.834405025316876,52.489072275668576,57.28909581650664,60.410909077428165,58.804568280974806,62.466607112148694,61.948291479345144,66.66348311659642,65.86230484797483,66.47651485797739,66.18790548454797,63.08077325924116,61.718693051957615,58.68797441204491,57.495089139150856,56.24305546733914,52.09135874811244,50.852758205803404,46.899551447913964,44.86936450464349,45.265510360251106,43.150518589083894,40.65620526638086,40.344652290237576,40.664005999019054,36.92661887356281,35.287184207562674,36.232681170168476,35.882475465672485,31.058953637819762,30.604112425377448,31.033515236051013,28.43481863357069,25.913810261703848,27.09781361709466,29.476563259600272,31.338399406504827,34.93630645671299,36.15049106750336,37.22815768608931,42.57869072269067,43.5301153354806,47.0916296393646,48.093920282381156,49.14817518329049,52.292291770233895,51.527125241205816,55.903631074150994,54.001966054905544,49.41720351496605,53.16476450634541,56.22288373705336,52.190435741001615,51.54442279415966,55.84641916989236,54.798044566893424,50.644451735071115,52.46615354506158,47.65992195506267,50.647163597517306,52.25118059122724,49.35862755693708,51.187704275102604,51.16988627046699,50.05467642853455,47.48077258741784,46.02474189188429,45.80672833782634,42.876823504883475,40.96632629993612,40.34437312854872,37.975977708643846,35.82147704038823,38.08222509553477,36.427615366292734,32.118745190368976,33.43632302424021,36.31425170279066,37.2617960338403,41.313736069849355,42.942451462510505,46.29165050657957,42.81759404895489,39.74094281521576,44.76973172993449,44.7406844171134,41.45443400859573,43.12451556354606,47.84895164585329,45.0881552683586,41.84401238959872,46.203813216008385,48.98517070816593,45.8966748982134,43.17551056587011,38.953408801115344,41.1399118346571,37.22102104100377,35.24559605573033,32.268300851363456,33.271981962915746,29.963555138278693,30.350878217285572,33.899987179113964,36.56327666582613,39.01770562020011,40.18524812350302,38.349784797108825,41.91719402686807,39.88940013020228,33.75431460665684,35.671599881992854,33.22809049532014,34.281347802676194,33.33508720987696,29.165391351562356,27.944574304188357,30.73380444392378,24.592004975452085,23.837980433920247,25.425667796228158,27.793774439408022,27.63442456511169,27.35359803168978],[22.64574421789741,25.73518674321392,28.552712632590524,30.573873422947862,35.83504741054192,31.29442021150369,34.41286181198625,34.81353345077816,33.22581591724317,37.002819546194694,37.108054239405526,37.44540147587168,41.48779545987569,40.067713215017775,43.12140949666967,45.2654101428213,46.50999263164628,50.49022004231844,54.01979111549262,56.56506034777465,60.05893893242264,64.06887070079452,65.15901964942648,65.149694474313,62.35602918006383,58.117375597865895,56.208043745672704,51.96677201077993,51.146511263047564,49.16702246764183,50.01477338624924,48.90038001070055,50.2376712285206,54.79625072329353,54.41375919220049,54.46985746124758,53.308923653533405,56.37762757324445,57.17961555825647,62.671383635987596,60.7275946710919,61.17400407629545,65.44623692106575,66.00873450021912,66.84865765405108,66.25625484555854,69.82719154621847,69.99704528910588,66.81460879497016,71.62119532970367,72.76428227477354,70.31347927412872,71.76705425945471,66.85475810597697,71.14950375445385,73.44758410669556,69.67785059714109,68.93830607785486,73.30228598683732,74.69054786809825,69.84675737908293,69.24689612971075,66.20047444270106,68.82508368197514,67.63113754470076,63.51662366796992,60.33252768708325,56.43880421930218,54.028437803242596,50.268615584029696,49.97549715379573,51.00310997740033,52.4284526573545,57.04216487148276,55.60777440609048,61.09005313475888,61.475960519846964,62.67740544625553,62.916460007987574,65.11779919615108,62.73995919710222,63.795525517948086,59.86774019780638,61.96471606873982,60.18175062982073,57.84209812406858,59.9769346537017,58.54798031139727,58.87287537895509,59.239403598755366,56.914469192078734,58.39758037747479,54.23319589642417,51.34854082392192,47.467818476393404,45.74487911600553,42.529707975587726,44.74223189606301,42.18441312468677,40.919953475621924,46.26441425724438,44.95632483582154,49.48518589829641,47.52664024110151,52.23773202984952,48.21476333637266,49.56527262548831,50.17865062742791,46.057366681561,44.79916281980862,40.98705539809821,43.25277990454687,39.816502218655764,42.74259992227234,42.7650007562498,44.428526187439054,47.43460362628751,49.73322679011206,52.572410795982854,49.181015277109765,46.75306893769022,43.616639973728915,43.155742918072086,40.86144858971831,38.146951653610294,41.58517966554999,38.59295721663346,42.94301117789648,44.9525638850129,49.22670395925658,49.34848154522438,52.46349351349296,55.22116582286925,54.780265489526485,53.08690201713444,49.77663749892862,48.73772104509175,48.13895806835305,47.34867271157329,49.73062530681143,52.75265727178407,56.82583232168563,54.548701020580694,52.09198363407723,54.47561927858516,51.45124103948925,48.87892362901989,46.32587941728733,44.94521952047999,40.6256449104288,39.885297126142504,36.39237954697885,37.41903151805915,33.021877018226924,36.33843066951824,39.82717761571971,40.96439772017184,42.56038476867651,45.21487859178091,46.325632520926575,49.26860554526423,51.92792012573332,52.824174169867455,56.40659734781449,58.08342482046026,57.37694334070483,58.72537071996483,61.390909802836255,58.3820134662668,55.41658858352057,54.54231108389599,52.92235547128839,54.858116070442136,54.743301090340196,54.432554105913674,53.42873141076057,51.55063146753926,55.40105623592234,57.452046723511984,57.80618074523957,58.700470918300944,53.56727839769022,58.56687964956341,61.72061988444748,59.92277938052747,63.26631807465676,62.43070504687318,67.28991506046565,66.37687432763664,67.3125084203384,67.21238874318377,64.16301286164013,63.06281184126563,60.15726462418506,59.15743855713457,58.1282730160687,53.891614120112436,52.91246288540371,49.09765061006314,46.9696179364605,47.7851507273493,45.57421196452295,42.845370015038625,42.867252868432466,43.45437393300864,39.49099582011511,37.791479496989645,39.148065692153196,38.890473827272096,33.77566125854475,33.566810981607716,34.29421770675548,31.421952700093676,28.827854170723352,30.461664690359527,32.68632602049144,34.9515586868938,38.25380611024473,39.44610763474951,40.77864600734727,46.17519650134289,47.389548945536866,50.81424731369993,51.70215959620002,52.547458906950084,55.614985608828384,54.58865769017221,59.01948093507996,57.262655077991205,52.41618920375246,56.03605965348056,59.22102511418426,55.14179348414196,54.26118127722394,58.476814200501536,57.552708655008914,53.3225133310233,54.76771004196632,50.150851407242804,52.98102045936911,54.802749821003516,52.10738777249566,53.81751380029772,53.98080422647914,52.53144496950329,49.98922864384603,48.880049483726985,48.44465937219265,45.30244432448306,43.722117953518946,43.213231882484806,40.69097510374515,38.63195826682797,41.25576771302166,39.570443150002696,35.11080486100032,36.76002895539063,39.82954065611103,40.72835750052586,44.727905135064056,46.102641834425214,49.61156118639305,46.33023395772144,42.95045326555604,47.917872597280905,48.1068470371973,44.76752784077424,46.10871509208729,51.06400705704058,48.40961813941617,44.86853655581179,49.06909781836158,52.11224181121045,49.04488885807744,46.113610632208506,41.72437464072398,44.02273296759716,39.88867179178336,38.30637597988593,34.95410941118533,36.01332054604606,32.42462645516427,32.588878989625115,36.13670857633209,38.863881213703046,41.217366865228094,42.63424998650919,40.37917001457598,43.902211553939864,41.46895310047592,35.651682129086765,37.64019648108362,35.42742794069431,35.85380895662737,34.908081939791366,31.12859398468783,29.627569663482497,31.807734367164105,25.939387268346156,25.061226208075922,26.162740994595232,28.40439507924754,28.114657450917907,28.05783302812517],[18.750511432619017,21.672060825053393,24.764278255303676,26.278013656508982,31.860336645305388,27.66066177935626,30.909216498618544,31.879722234783944,30.273717262386572,33.89273470816347,34.381669675160104,35.16207733118567,38.67623357009811,37.047170067836454,40.53453928568977,42.68727310876246,43.45691823806605,47.52923364860914,50.77298414047657,53.41452767079306,56.82229852961765,60.821018797616006,61.77729619956537,61.531442636690734,58.79021750639113,54.56843611549931,52.72021278691095,48.55807363308112,48.09913335077391,46.42610186958949,47.63736757796758,46.68674526291874,48.41322875494892,52.88663286502514,52.183472915786396,51.86941237834962,50.77631198069824,53.385659070076166,53.946387034708486,59.50857090915209,57.222454831205376,57.84270396442947,62.17109281177354,62.46595687134136,63.11879822575503,62.40731233240062,65.89670436648511,66.25774221148964,63.11542413649714,67.79796432399391,69.1649388782309,66.87611540152426,68.51617039830273,63.60275786995059,68.18260852587743,70.40955530642879,66.5866054723988,66.11067185976391,70.542783941842,71.66605056228674,66.85207858740824,66.52645283048193,63.65072676236535,66.06319412118332,64.65533923002668,60.6236541776913,57.358644425364595,53.6300244568141,51.02220848487097,47.48810060493713,46.98715547515547,48.1531170448884,49.83158052846108,54.31967058491575,53.10803334932995,58.836816482463696,58.9911709838642,60.52856740379644,60.57266415411955,62.57435412447806,60.27430460197548,61.06062974249687,57.34397556781696,59.169145074628915,57.12149944477312,55.00302842863513,57.129895276956795,56.093834054773815,56.26673076982991,57.129678554271564,54.699659260560274,56.41288717634068,52.297667433689575,49.54897941923276,45.422857728504006,43.95228975342257,40.438687364894214,42.89720569145527,40.2732828298889,39.49271486445162,44.367803909675594,43.05507580788469,47.24930786493378,45.165735757030234,49.631510505792455,45.36690068518852,46.8456596648003,47.126104134734376,42.87136797172303,41.9277669194366,37.828669002326514,39.98416372131662,36.521076737288524,39.16109037917906,39.29979588972677,40.652483000513705,43.8145531420705,45.82454748798658,48.9329346129391,45.815878492222105,43.19613131672352,40.079292632886386,39.217493078204704,37.00100716844264,34.38795163657697,37.677213296840705,34.925328520602164,39.290632205106824,41.39484735089967,45.87306660907238,45.64524803931478,48.99060113490426,51.577386089417956,51.46345926930984,49.3717139275617,46.03303891899464,44.67528395354649,44.009378557202254,43.13232424752854,45.76606734082371,48.54159000164244,52.74254652130065,50.699732069565044,48.28610641244085,50.86086193210062,48.109127205662176,45.39512249659178,43.1222310970125,41.84435770812688,37.65238603647192,37.217344540960525,34.059893420671315,35.64057736227739,31.724622403944952,34.935934914245586,38.0889690678468,38.757980630267696,40.231933911406635,42.66232704376259,43.490559295428135,45.980097155576715,48.76465623271262,49.197968332592325,52.999556529378644,54.361341956185406,53.31906145241792,54.74407861488915,57.20416632723421,54.15734130136326,51.173450589724254,50.48316600385777,48.97640098058367,51.22586388020536,51.38954458361182,51.34597457720239,50.6647272483159,48.87553583079096,52.99597647046208,54.64717378318435,55.03798200521744,55.50895020486886,50.47284361332136,55.313599837205864,58.328255381565135,56.396159489340306,59.79641601142971,58.982240439855005,63.706737640543885,62.495941233169184,63.49532248947179,63.29939239987135,60.402362052500635,59.19938769293186,56.30531180476601,55.338484826010244,54.2589751461983,49.90803319516881,49.16023747120984,45.34793622233041,43.49671901604385,44.48847848877081,42.581997838858896,39.604343660899524,39.45500886806093,40.45594836488717,36.5790560666142,34.301858308819384,36.00862696359696,36.37136255115477,30.90019626988602,30.54873333350716,31.757698576548965,29.091315693933534,25.96411657935602,27.795663698889996,29.613292510828952,32.44898748016232,34.90475118368282,36.306381191563155,38.05326744540525,43.38945922639556,44.9558991088571,48.19709051678212,49.23424156932565,49.85752408742655,52.981209270554984,51.88614935210478,56.16320159682578,54.30694528273717,49.27581519077793,52.89029744035869,55.89141372623188,51.66491793379019,50.73228512871197,54.87256276621209,53.750304692207465,49.45932023813527,50.86264463808376,46.47411950232702,49.587008325602476,51.58273360902447,49.20111999257213,51.14618810603016,51.71390267776202,50.183373037701486,47.299352377791706,46.59177537362398,46.44581453096123,42.97034863540347,41.33202186027957,41.35080912114628,38.94812485275898,36.50263785755542,39.40670702261576,38.1434396873559,33.531318599562745,34.90995977116434,38.187479491412645,38.64715748485351,42.63145170256718,43.75669915799686,47.18747749380501,43.95174740413152,40.20675644423643,45.058727268849445,45.200486406235264,41.74548183988483,42.7709613502935,47.80529479102872,45.06358787171953,41.26542295261511,45.35361732898024,48.478039483456996,45.32324649608118,42.2209960561874,37.74168751841553,39.968496767432335,35.66083127094046,34.50037501663766,30.919806731361646,32.284776190599715,28.760656145461795,28.41096276722653,31.950871419166738,34.53232340875995,36.94227593131424,38.713633689389475,36.48361175341829,40.17588497492227,37.70740476085968,32.07688830214332,34.5583796028519,32.711446001260434,33.235690253374145,31.737759675930022,28.044999967963335,27.074246743808352,28.78970940508025,22.786657800233854,22.639426048276057,24.139996960264664,26.721939387427483,26.808509743707933,27.073647079653337],[21.272451020103208,24.32357699278379,27.35008046658109,29.46877869859333,35.157668148467934,31.53726278345498,35.073320734904904,36.24008908734454,34.9414021410828,38.621222647518124,39.30245840468234,40.095175398087406,43.47504169858284,41.901068434557246,45.52234579781684,47.616151418577786,48.23825170573556,52.378925015595634,55.52195864505305,58.15635591238614,61.54857629393161,65.50265688112178,66.42792110425746,66.0416413329091,63.300961103384786,59.11479852404496,57.24558821315367,53.13356871757132,52.83769393874637,51.21459678419612,52.64988118195773,51.602455482944684,53.426667788464634,57.92358849618813,57.11800655485948,56.74977776935609,55.54637771557816,58.055976554704166,58.466495245664525,63.94829850500791,61.590529759498715,62.4151755966347,66.74739754903908,66.88503564475874,67.42836049207482,66.53527966846467,69.9927476481647,70.54577316624888,67.3117830566429,71.86858687596535,73.37088245067919,71.13374740869067,72.91821551623534,68.02279504216374,72.6891032177147,74.96460162150987,71.17267673553948,70.78414018101762,75.25827561443855,76.32319342855291,71.58854038384369,71.40538445176153,68.60372269723466,70.97988972184793,69.47276233925538,65.4568717128288,62.21932179515663,58.55048263816012,55.89708920168452,52.4511908672152,51.87407118723865,53.058612512220094,54.839739027603414,59.29033390673775,58.138451476044466,63.912112031754745,63.98318299709942,65.57729600096185,65.53061386392888,67.43309534084128,65.05053308704368,65.67169810351912,61.90836181023985,63.56030233646183,61.488415901409056,59.55819606051603,61.82169585948452,60.87337855324779,61.143791065778075,62.130658690540166,59.74483232583623,61.53074335213391,57.424139690236835,54.668610168524474,50.50821090385537,49.10030366198874,45.5478624452236,47.9342514185718,45.22620589697982,44.308847521022344,49.16267309160864,47.55973322779308,51.80497012627507,49.41634733993936,53.66552876378533,49.26246421982166,50.44744256314995,50.51620132903668,46.18896530422808,45.54062358297506,41.46547930910184,43.938687764458116,40.711021690043616,43.33680003963028,43.77152899845626,44.974779701718326,48.2925605132767,50.11586011541757,53.45592201739014,50.508074453689936,47.80343051244037,44.69041319441154,43.53551499132814,41.31461158909393,38.665386455676796,41.62101198828506,38.654404373835504,43.006090320517785,44.91661386190162,49.48246903796549,48.84772397345995,52.11109198210314,54.84134583078742,54.99508339231886,52.87115068135962,49.726483968162825,47.985218805336466,47.646180733648904,46.898795265733135,49.710275323218646,52.41319320750134,56.78259856533554,54.96513366015588,52.514935577933755,55.179398884540944,52.59864725309485,49.78734940730972,47.5932382919059,46.19549265250793,42.09600464372592,41.486924989402915,38.574862537230324,40.0189138096477,36.22673247610925,39.6541045012434,42.72828647564608,43.44107326982886,44.67515772392227,47.25465861275261,47.73495295727836,50.15106734973013,53.17634809194429,53.36690304381964,57.2617854223432,58.34084993782808,57.09238468422217,58.340185728252536,60.62579449939831,57.391206496481374,54.572151568224115,53.95218214233262,52.722005942698,55.13103381626921,55.44395959190513,55.58489622214806,54.94480881809845,53.38834935348892,57.43761277996572,59.0103840287486,59.24950904767454,59.57705871156371,54.41407769609311,59.04859485031393,61.98219575289792,60.13564124567131,63.77987017953579,63.16545614117175,67.73579294915703,66.40602903050066,67.2609236830839,66.86704756024137,64.00951631581374,62.55156650239116,59.55568095886635,58.42387387290129,57.07325672224663,52.75006434799157,51.88218640773613,47.878265908464314,46.3373492742845,46.891337720979614,45.25645775020863,42.44261309860717,41.74768800316441,42.60116452600333,39.06017040826136,36.51708888596591,37.81582588826526,38.34418328378589,33.11988744066785,32.264866046393095,33.200513678244135,31.05772882993694,27.754842350512817,28.782821269210984,30.647168750318865,33.08340791099837,35.45419178571565,37.28799035968458,38.79591099270233,44.02498632723806,45.102315433246915,48.668718673961735,50.16579057486891,51.12867220978943,54.461804076868326,53.799490596805015,57.93257465202302,55.73224872083218,51.031766738576735,54.88996908903157,57.56062391507792,53.252165092241476,52.69164924723732,56.92046898326871,55.379274630308,51.141109533779975,53.130447513952475,48.65036809637681,52.20424644781006,54.014059773315786,51.49802256318966,53.70867141438186,54.13642149037596,53.011733724535326,49.99911774414534,48.93505756780214,49.11337960612713,45.83339565673276,43.75372026297578,43.70321584089866,41.49705090776334,38.86830630938743,41.296036999944974,40.097427900384105,35.66405625881003,36.50259911124178,39.496583385919216,39.96420354184154,44.07933832521979,45.59358531285498,48.73825125516372,45.10388800271309,41.761477491160626,46.70401723250054,46.362603259848434,42.896486822387,44.36304424957128,49.01990432805431,45.86094047270076,42.44258046326951,46.804592092735774,49.44073070502709,45.978657464375445,43.130178810935085,38.86185562849306,40.495317373392965,36.315563262177996,34.927277792972795,32.00771270785783,33.80196376781536,30.81863684108472,30.222862759890763,33.8041752913332,36.044569896525644,38.79229896305944,40.639691580430586,39.06234808503975,42.97205049216066,40.9114731320716,35.061393040074535,37.71158385277421,35.724744334753,36.909172175760844,35.25067226841682,31.190279144470196,30.624811520736166,32.752400640850325,26.447482142264395,26.56776064931192,28.43776078135354,31.00273720355527,31.13407371323093,31.145593851975136],[25.265848807451707,28.255221916334676,31.347808828765857,32.92104536856852,38.61780498069675,34.51576781861971,37.71496649910817,38.660561321764476,36.86522094509464,40.33915298261752,40.60745497843035,41.418338442642714,45.08479801871976,43.22522048590027,46.559345508768445,48.87980445478004,49.74291680791009,53.65773014730991,56.792242777861205,59.62667352904973,62.91135677765621,67.03172141889499,67.85392179658162,67.62550270483344,65.03001438724748,60.73139027408702,59.0744443778154,54.92760775636691,54.45155886818036,52.82851141763573,53.63221077659186,52.921074741078165,54.40157746894949,58.83088637049002,58.37357051724492,58.1186218921644,57.21314682027306,59.86036980654329,60.5020488566172,66.16294168019263,63.786360516602066,64.24668156493877,68.61058417502917,68.94513646917528,69.50346810678217,68.81415554113569,72.30455108264985,72.75949588466104,69.69894759041107,74.42204278845396,75.83554596115329,73.5251760636383,75.13094825010705,70.25319285275829,74.8146586463706,76.94211829367428,73.08901903894593,72.59706372735208,76.9703231360117,78.07453846432786,73.1586799611477,72.66409444248015,69.69379619947148,72.00517884957668,70.75576438363024,66.78270787478525,63.27554379043902,59.57760917942412,56.78688307359854,53.20142812540958,52.58639408946475,53.42562535149201,55.255881483525584,59.84891484971125,58.833681244825776,64.45548177656666,64.94274589068615,66.41217388984585,66.68826302168165,68.8569316211692,66.68945467137264,67.64100746401725,63.95773214090081,65.90117914324229,63.84671536421082,61.63235930501333,63.612429049828805,62.513265115666236,62.50804313557317,63.17342190479227,60.60008886753583,62.01261843411717,57.898220957888405,55.218299025112096,51.249456344028296,49.49588999681107,46.1651788053849,48.85040370056124,46.40806279126286,45.58799272421782,50.68115100114814,49.556692021424574,53.825153604287074,51.88516837567048,56.43440216309611,52.221278904021894,53.66892866046519,53.970250364783915,49.711618387623325,48.76740584644819,44.70012701376408,46.84989540456374,43.333826034264405,45.90429791903619,45.85383112868146,47.128209496753534,50.173211235239776,52.08852608322617,54.9830326185684,51.927827274089054,49.23684578973807,46.250731429373445,45.438228792440825,43.414439866918386,40.982259877091565,44.38076062320761,41.76534655455893,46.13360453078009,48.254896765960865,52.75401793258609,52.448381482260956,55.797706744848924,58.39989305208275,58.339781414034285,56.20592998800837,52.851572420696904,51.39183707194865,50.66313731348069,49.65442691358318,52.36897220563345,54.90911938499558,59.10077218942254,57.074748303116976,54.78780666424985,57.41839686167463,54.665444126588184,51.99324784947536,49.77358893618642,48.600567560381734,44.38038366547125,43.996532632551855,40.68495251327235,42.12837485407954,37.94768580354325,41.102413859581446,44.46136797735432,45.25718242279105,46.88679651550474,49.2775419881282,50.29128032336429,52.78209645193711,55.45880434624628,55.888212620725476,59.71469546855099,61.121480219970664,59.96510579213961,61.48119524887162,63.85413143061992,60.79411454699839,57.78255421883379,57.198858124250094,55.69760196486011,58.03379669309355,58.21421352621219,58.14029687246926,57.44149154802581,55.54366243181295,59.66448656415311,61.39608583663097,61.83897633324765,62.35634280164037,57.336594960715814,62.19162891878459,65.20203346463116,63.249268270915,66.60825289028597,65.71761866368199,70.45467623664241,69.13511754511507,70.24252392109449,70.0445231224774,67.17991143142291,65.97441794807952,63.07722839296766,62.081324780968956,60.92529981180469,56.582618031121264,55.838188098237254,51.94493730357428,50.21964952782874,51.03362571117701,49.202026712639146,46.30533118263602,45.94038694802719,46.83144126094543,43.08243611933069,40.733128534569744,42.205302130203634,42.540663323431744,37.24701730797652,36.64545687209811,37.600815315209466,35.15907139194807,32.03663991283913,33.33064964735591,35.252649725236864,37.74052171554516,40.25748242857828,41.97630641948215,43.49814212676951,48.77942086857492,49.898858499704815,53.43513727801514,54.78673244378929,55.69191817134185,58.94278432880209,58.113782869211214,62.349218820676796,60.29894354887528,55.47690994354037,59.23919198758371,62.07929224069325,57.79236271101464,57.073136483758816,61.26311257535505,59.8912453688151,55.622923262312504,57.33156902279026,52.920000067108795,56.239027853913186,58.14717459779384,55.65845262398334,57.68013232211826,58.07817684509668,56.732229876863656,53.88523250226375,52.91858091509437,52.81153004101248,49.5092664644845,47.70536794755066,47.51629843889512,45.143267931924065,42.7498929142198,45.32920777321256,43.92220807132829,39.44061144699116,40.646123848823564,43.69083485372212,44.3163335292821,48.40046308879077,49.83290654243322,53.129934595279835,49.62025655897517,46.207360200999645,51.149594654431084,50.99315118865913,47.53934523947177,48.88264693663453,53.678161546509,50.637459679550275,47.10439689333695,51.37953901941271,54.18012219087163,50.77285031021893,47.83837246142381,43.489778182163164,45.231108020475254,40.97182526818272,39.72930925011008,36.61840357504804,38.31469183094469,35.08552648211556,34.53397540445133,38.102549581333285,40.445085033341385,43.07652351101442,44.980772130201316,43.06026095830814,46.86357210881789,44.4938008160748,38.82875298783533,41.33639839903301,39.377897944168026,40.041438335761704,38.600944404679595,34.807201983410124,33.81462222606124,35.65652814908316,29.63190683647762,29.382151016546594,30.744276864289148,33.0923030503756,32.98558303383232,33.0329525457785],[26.80824149193963,29.633480325427865,32.8686553924917,33.96081206978722,39.86934976212534,35.99901108794416,39.153651784834665,40.43131916958091,38.44579292852983,41.66086996120973,42.00860260649919,43.1460222548485,46.5402011894043,44.373413459269216,47.862791550530076,50.30210673431205,50.910024085559314,54.74540942260481,57.59641380105023,60.62594554951291,63.74810623917477,67.93981287617467,68.56982882020968,68.20489667890264,65.76497555031341,61.436324817421315,59.97235430938528,55.905244330984914,55.65136818248179,54.28558239890614,55.021702734248365,54.6184099056583,56.18597741728399,60.50208535631593,60.00235331187746,59.528602461838716,58.83124272932774,61.17690384905711,61.726801326914455,67.50585037329412,64.8343659704262,65.2637288757953,69.67815518286343,69.87370114216002,70.24707161772585,69.52706748178633,72.95310919258407,73.57423313187147,70.63171378748106,75.30179655483694,76.8853691083644,74.67879286676028,76.36678903473921,71.51755336260135,76.24892721770223,78.23761704091622,74.32083766614856,73.99469885419072,78.36142313337172,79.26120725747727,74.29064337358565,73.85427285840757,70.93901795813122,73.02036371643987,71.74708744863523,67.8881455561053,64.15711705749345,60.60769337959941,57.56405586112746,54.11123351148419,53.28225373225428,53.987606074315416,56.08047952280056,60.639246932272805,59.91833921350262,65.61814769725333,66.18085424531589,67.83614063094105,68.14732832028953,70.29867046946357,68.30665941969364,69.20748152030961,65.72662013412351,67.58507726124112,65.34137865686864,63.188911646234295,65.02204284800199,64.15442081297367,63.89113765441883,64.75759207246958,62.00702727237628,63.36149298517749,59.29776824240178,56.777548299832524,52.76283068852048,50.99672666044454,47.60197236559339,50.617340821316084,48.28125328041024,47.811057009664346,52.698859840538915,51.766904427412726,55.81651324250127,53.96264653655656,58.42155081020955,54.11967393839593,55.70058020752442,55.82167086295991,51.50312883908626,50.72159747418309,46.48904321392233,48.46641574472532,44.866855731817566,47.165054057582026,47.000832620589044,48.01599460875478,51.03714058562422,52.698827189636134,55.57406749895836,52.748829811225754,49.90180339626852,47.04343371831864,46.039665463882756,44.229160840595256,42.029728763360346,45.43993279845329,43.1660513608617,47.51650333409912,49.75080392208987,54.36551677158569,53.8460355929368,57.37033358113666,59.809677550254754,59.967270793520925,57.525214288928225,54.11077507876954,52.44123049189236,51.54651161332248,50.35509866964441,53.252509600495756,55.44220900194363,59.66399210127148,57.785691945359176,55.64112406188178,58.41995455010759,55.84458097805412,53.13330538803594,51.15250195088908,50.16107104698094,46.021121736481284,45.931995680979625,42.71898636593601,44.478395657296396,40.444841299049976,43.432810377152585,46.69397008505272,47.23110255122093,48.92355367864511,51.08051368873586,52.091017031742034,54.25525292090511,56.87996364651322,57.01694657795959,60.98456235576735,62.24970198005526,60.810028305526025,62.48420782546004,64.6703721377988,61.630750610250715,58.56011956448398,58.17877587068428,56.709470356114366,59.29168611829864,59.65472312597648,59.714522307342726,59.2349882721637,57.281277595582004,61.60262288102848,63.10624641474957,63.6462834632004,63.91360778106434,59.025735584149736,63.80174414331474,66.71382397253294,64.6325970741656,67.93488034983196,66.96338127320715,71.6271577521175,70.03656558792686,71.29933395866047,71.07419097852451,68.34625652121221,67.12780760966463,64.27548913310909,63.33058475768056,62.15584195586521,57.747251322521294,57.21059833593592,53.329658116145,51.83236059235654,52.753140338485494,51.139917789561885,48.0949886488756,47.58905500349022,48.73628284215932,45.07847371626706,42.342881609726284,43.99497809214041,44.71791492869264,39.26782536476824,38.52050503765216,39.7056539768965,37.45260074855111,34.029984040413275,35.281010203038754,36.952185339265085,39.6916219948724,41.62338342795733,43.60155843880269,45.32241211272017,50.51911289076846,51.71207575430809,55.21827107476351,56.77688067061574,57.6232269127974,60.94215827954225,60.14223672964374,64.25576276818138,62.087295114881876,57.20930202971722,60.99594977750875,63.6568138169704,59.25267512625095,58.55587551548969,62.683439195252845,61.095434443806546,56.80316588416108,58.54562876420674,54.33228340713471,57.883170588276435,59.897648192267084,57.60841900113395,59.786013650254,60.39814914964714,59.024454971751375,55.99377998696238,55.23311120839474,55.283844300969605,51.82151227068186,49.9777965290043,50.043849019827775,47.737885689641615,45.160941021962024,47.8251337713626,46.613358280599684,42.08762407974358,43.11178460499644,46.203612165520035,46.620482546061126,50.7098360593709,52.06865936221041,55.27514180997245,51.72300252196147,48.18794201581522,53.061035592902265,52.781922937915404,49.26328905915922,50.478483451901994,55.23416516480852,52.03475666042626,48.4214503045896,52.65291374783563,55.391014206895576,51.829418648645614,48.839137449681445,44.49369691618608,45.9628504082275,41.6072166059787,40.69789578553146,37.62292584550272,39.65880081684403,36.58605692241359,35.5860503854551,39.1170278930449,41.2373099845412,43.96411096955886,46.193558928854095,44.36837018004531,48.29553644773497,45.889683543868784,40.43717505274842,43.252412198054856,41.52516472369712,42.198087979299494,40.45412393917026,36.77579824158837,36.04976564581724,37.545493625803424,31.559942777945363,31.682939372133195,33.11358896605885,35.50468958152009,35.50534594903271,35.677823844905134],[28.544339400545066,31.351491504363416,34.56404846108516,35.39668214720329,41.16519821683594,36.82641959686604,39.69826032803685,40.66174091858657,38.37980304904089,41.502908756138034,41.49946762731127,42.52148687512978,46.20268179271281,43.956755611429664,47.13432269019289,49.68224509942047,50.573023463536124,54.24257005664257,57.19573853433489,60.27815611510778,63.373128311060164,67.64646897385727,68.27925122983842,68.10470969051383,65.71936863538802,61.33507172677578,59.95725255305088,55.84744038448262,55.35644699150615,53.89611072025515,54.16972207443912,53.91295182743636,55.18378353390235,59.46288699814385,59.24296236389277,58.9385171879131,58.3980971357637,60.95616099296945,61.72637989813766,67.57753129290268,65.02747128960007,65.17407955267461,69.57481104150045,69.98963324829344,70.46946677938229,69.94043067341718,73.41407601024497,73.85552029844581,71.00876082935352,75.81989620035996,77.25006807330786,74.96088702847754,76.46202749809832,71.61986633198087,76.18278554736723,78.1070677568155,74.17627897859343,73.69772037839316,77.9769059483546,78.98804533146189,73.90916136835979,73.20654385768867,70.14808545550287,72.26910467321619,71.20899601793639,67.34971608112718,63.520516342824195,59.902395378312534,56.88060011282208,53.28375984596457,52.526036019800934,53.02721996834585,55.025541065654075,59.68234355299716,58.94215647903279,64.47162980769346,65.31362609809229,66.79635997151996,67.33765654356782,69.69163874666613,67.81105362012873,68.98780518784768,65.5119531323713,67.6265877596273,65.47810708612087,63.0794603147259,64.73623757732624,63.66732204640151,63.28747008270818,63.830131685342145,61.01564235792299,62.10700182111361,58.03821742858276,55.53114980466522,51.69909846381332,49.693027593388635,46.51318322043624,49.61274348838615,47.458669730842,46.966481379520076,52.05528379302159,51.44281731511579,55.551054410350126,54.03830281766865,58.74940282609449,54.65418775647274,56.409805936641796,56.78965714780388,52.56905030677106,51.483751529569496,47.333969921027126,49.090766873659376,45.31080987671424,47.65876488349343,47.154829050044796,48.33697117031655,51.129361206295535,52.975844541750675,55.487246951483336,52.48595793542886,49.741202252508366,46.9439005333804,46.31212520189941,44.57098386551203,42.456591496082,46.194459860092884,44.08110030887404,48.421402772052026,50.77528672280431,55.26513823232476,55.125514672092194,58.64385439979697,61.024824944459596,60.90541641833344,58.58703241840155,55.031853243994235,53.71130633560044,52.563263154686744,51.248322873114276,53.95918759187761,56.17644139718315,60.215063262225115,58.0987413420506,56.02971309516298,58.69779394000699,55.91697605674751,53.34936069166526,51.259940548605584,50.3830411390953,46.14467525441756,46.13170381981078,42.60064505384626,44.260626238647106,39.929985770787866,42.72393732032787,46.196217395628324,46.86664942564639,48.835877074364646,50.905705510021804,52.33669943264871,54.67252147733754,57.0205288050155,57.47503140753304,61.30724907399395,62.901291921109014,61.67007203831777,63.4989248806084,65.84189788792148,62.960154682290046,59.762023611358906,59.31460134855855,57.603259954590904,60.00093318917844,60.17587577178344,60.00456454460834,59.399205186006434,57.197727331119275,61.49008363406505,63.19233453812148,63.863975676438166,64.37937737323607,59.58207749044458,64.55895864419348,67.5659300836256,65.45002064298713,68.52057026069828,67.35416426566887,72.17718435422405,70.72500872561761,72.1266642224125,72.08170006098881,69.29941859712594,68.31011601585661,65.53562224013459,64.69734798097082,63.717048971844996,59.32964354854741,58.81694144064695,55.051513993180905,53.29032179580836,54.42094342199123,52.55039542591872,49.486675623380464,49.35070793975195,50.45074478421913,46.573078644017286,44.162197080287925,45.92713640508098,46.35185927230759,40.885111054755576,40.44188957762968,41.600597832382455,39.00628658403647,35.84367055672993,37.41388137979919,39.21079675015331,41.95679234517828,44.225330120381386,45.94269696282652,47.64365637338596,52.9296104263087,54.22739662568759,57.662122869424984,58.94912804903482,59.707561673560704,62.90188007808004,61.892696697985635,66.14349530822392,64.19230260146566,59.19261022749981,62.85140778125805,65.75445420214939,61.434938655289685,60.55070290827961,64.64999688873976,63.34624268352,59.03728851956918,60.46339646748126,56.24212893340876,59.456727327362316,61.52947923524349,59.212480958882914,61.153135214680646,61.6960730798567,60.10871868785994,57.28459371780231,56.584822320951275,56.33080510523766,52.88545120072783,51.32375269290856,51.224095324384464,48.75826742599889,46.43803856696657,49.25207194551155,47.83195798623688,43.27269765273314,44.68532837280328,47.841889241112725,48.42960935728732,52.467103547320626,53.720643066996715,57.110989415510446,53.73839969076028,50.125892965049125,55.00164683422275,54.98517521020672,51.50242015476162,52.599736538387816,57.5331513486041,54.55981555678156,50.827938280843036,54.96383527128736,57.931190516445994,54.532116926547175,51.457291316020886,47.01636367779508,48.78758230669007,44.39270259706771,43.480580257382336,40.141112846835775,41.899650195259184,38.52199434866649,37.76959142717436,41.294982995677564,43.62995110797999,46.178528158001626,48.29468936413068,46.09439978989275,49.849755760654425,47.19148449468151,41.841722816998875,44.40636438211414,42.64646418206555,42.85584153833622,41.407242368541375,37.945529657118215,36.79304003389858,38.14573752117095,32.43338040000315,32.14326868555343,33.14316249697234,35.3605401878254,35.16839048481818,35.37105302990964],[23.513763587558646,26.112727540398147,29.3777868562518,29.695476158223524,35.42630231500444,30.936271686794388,33.67437109706447,34.73593324304881,32.33506078462718,35.38577741925206,35.472255916609576,36.6411492454534,40.15217781613583,37.871147403981915,41.177330837587114,43.706325793393766,44.478723852540334,48.19560044372113,51.14118501892857,54.194189309106534,57.314628886330965,61.561791817168746,62.22132873556723,62.02935895117815,59.601904626524586,55.22954922518064,53.813827061912384,49.7009464487813,49.260060731955654,47.865468634870496,48.28828125516039,48.05503101828787,49.49591023994819,53.753165160311255,53.38457595324831,52.959288390117685,52.43059845842959,54.866693027112966,55.59751226916771,61.46940211495461,58.87331644961604,59.04034628868204,63.446025813751355,63.832025207101836,64.32559880625348,63.82443058624023,67.28694770784742,67.68727610968224,64.86375442472524,69.68679573905776,71.11273377876897,68.83452387132212,70.35203645597706,65.48720907418172,70.11383620037712,72.01697566663951,68.05967826432313,67.64043089268566,71.9462780515481,72.90408779513382,67.84408311990363,67.23363688693611,64.23673721796766,66.34390547714882,65.19414851707886,61.32930994911071,57.549669027379764,53.94232623607295,50.939085706965315,47.38329367406092,46.63136559519757,47.2901539534641,49.275143488629574,53.8838277442322,53.1143074491529,58.75327196341845,59.43417424418184,61.029603151694126,61.460390228334624,63.73157393235569,61.86516859399695,62.969944287395045,59.57529378728465,61.63860734163142,59.41486173547051,57.0409354961149,58.68004250164624,57.72419475244897,57.3111577700367,58.03736712548287,55.215408020053374,56.46487769470676,52.40118658038809,49.91312464801888,45.95156495553953,44.09631806223694,40.76036080252209,43.916225434161966,41.72625757009099,41.48589013671572,46.34564295384156,45.82163738289646,49.748773555074976,48.305305682461764,52.99591133234047,48.88647974559695,50.82594975865401,51.1847604944659,46.983446777681216,45.86635596597216,41.62339573628105,43.17212898399432,39.30065023855976,41.56127573309783,40.99881026201531,42.171425060238946,44.96760975569158,46.8375239876028,49.39428994235839,46.382780964508555,43.636059289249914,40.803689603199835,40.16991092540382,38.40595179305423,36.30584355986364,40.11915976447242,38.173171689207635,42.501230631586374,44.96792445737862,49.45118152835409,49.415878146936564,53.02919462693715,55.26767326217762,55.112992905774725,52.70210225281098,49.06199281600955,47.860565202347054,46.5558683997973,45.189955277987714,47.85210173026131,50.09700449928859,54.10454929990673,51.951481171850666,49.874271943472294,52.54027544800283,49.7736889136785,47.19838617559435,45.15520868144182,44.347876505768426,40.1352722020054,40.30873415114031,36.82953190619221,38.78227080471742,34.65797352214914,37.295251712792975,40.620577935099014,41.063865123204245,43.06183187782972,44.979380128098256,46.42626096403029,48.63000655025565,50.92936623699623,51.34488536822635,55.189230957208956,56.79559531507465,55.60359011582532,57.495160418375235,59.88076182575084,57.08369219165591,53.82043834306499,53.36645292996216,51.56182573759773,53.952479110396,54.14029157726899,53.981770944703,53.47500324310428,51.23356940225032,55.640647399635704,57.21396498767992,57.94863929162563,58.36977453668746,53.6771469691592,58.67408563010706,61.66546484958324,59.47978667245797,62.463320050545676,61.24183727050216,66.07779545645089,64.61891745207504,66.06799541778469,66.08666675521474,63.31535055771589,62.42639799299844,59.71313247969856,58.98832509650798,58.15101558955489,53.71962979152227,53.342742049771935,49.713296122536704,47.869763617193634,49.313820120357455,47.405076347073575,44.17509553805567,44.303306763920205,45.63742652473207,41.62090389096851,39.17687938127966,41.30375578048465,41.86813231353598,36.16321348863884,35.9741413583782,37.48228063697975,34.6856306732707,31.449157508660797,33.56961505054218,35.162362742715,38.35924356643608,40.35213709808501,41.84510037786514,43.8487407596776,49.15930370509185,50.92038876948215,54.05428435156385,55.080342314517694,55.516788506445586,58.583732095911444,57.27211515975815,61.54020004229421,59.78030215810519,54.51801895431304,58.003437768758744,61.043108237547415,56.74448768623669,55.60612271948998,59.61190334554879,58.52555680773308,54.179587644629684,55.21498952600232,51.13451721247865,54.15508001993763,56.39355807739165,54.287800780265506,56.15122207741537,56.94474815698574,55.09305748028022,52.21712371774653,51.90022088557289,51.58322553353741,47.89641284820469,46.58041773292797,46.7553228857584,44.24601102207034,41.881641709376964,45.086646060083275,43.833563995492995,39.136921258727114,40.73971677774455,44.14347125041176,44.52588065486474,48.44656203810911,49.3381541656336,52.859115415208905,49.782605363652955,45.78208850732204,50.525281827605795,50.80599761195309,47.30467209081972,47.99514480640345,53.18013053909965,50.473771689071874,46.41618655689732,50.31609581252848,53.62506781795644,50.42807120588002,47.13977273529219,42.55100515526586,44.70969527440753,40.20300477174847,39.555464271486834,35.73043617125279,37.28841018172862,33.63594135321348,32.886244889868955,36.34329296554303,38.84111138944367,41.16975942177504,43.3153004291178,40.739624831894346,44.39390845455172,41.5154805317309,36.40060679018422,39.01881222845057,37.50157878254351,37.38743701890871,35.81998207238525,32.645011471830784,31.488689960605253,32.413478194916664,26.92327313465894,26.805130362112582,27.76981648401214,30.13419580670048,30.11981325151832,30.574228643610887],[28.13012289529004,30.52955771341389,33.87511489719529,33.56535835661535,39.36912075692049,34.90197139135717,37.34958521679358,38.54010080795784,35.72265391612976,38.33090893832151,38.20494489980104,39.660539283467955,43.04650508793473,40.33012842273873,43.511092993052316,46.26927187248364,46.96467623961742,50.39252666571893,53.030253487154226,56.3768413565325,59.23998680093834,63.63504788805174,64.0431391886831,63.83761131043473,61.678976171874176,57.23611263143365,56.159326395675855,52.14025598194356,51.783620162172134,50.64311413099911,50.55273490167005,50.84524375589014,52.10799717854771,56.160126867176196,56.00256683664138,55.459735563938374,55.33337613100979,57.562947843885276,58.36510023943528,64.41404412155279,61.5601890201254,61.445733563944124,65.88143340115059,66.27274908813018,66.60267492636119,66.2450336130183,69.61784519749918,70.0888081068469,67.54965828087964,72.40937678085837,73.91769640511751,71.6860629799879,73.13914383784427,68.32455452387104,73.01450187918061,74.67397920091484,70.63132517366533,70.30201679114938,74.50429618810986,75.30054868829603,70.10183190920135,69.32888538801575,66.28557762354586,68.11717869589096,67.13887607314476,63.43883339464755,59.293007273688886,55.83689465253571,52.52789032460298,49.03842650434336,48.06360551929382,48.32193785680267,50.575936565542676,55.20412796166614,54.825844933892434,60.37170326128336,61.419162823651845,63.08492087311534,63.774974125304205,66.19795094449847,64.65999647370936,65.93964314741213,62.80346682092402,64.97174299251193,62.60930677976308,60.11870163041678,61.417206126993214,60.57549686409958,59.73971308588836,60.41892836052273,57.32371624247657,58.23772093746751,54.25907625029069,52.00520776945072,48.19186639569458,46.10011115801935,42.92536324606868,46.55131873167428,44.67936413665106,44.823019637403526,49.58531325693825,49.55175809162708,53.25461361600109,52.188401477689574,56.95350655540436,52.9137497647546,55.09920824985959,55.441339741992884,51.26250302531231,50.13003936606484,45.79700130716386,46.99706692496475,42.93909553876863,44.889828648144764,43.918786625820196,44.88473279056773,47.42656851673597,49.101741221855285,51.288570079272965,48.453893024463845,45.60765711213332,43.03799303992099,42.481365080645546,41.08550017309486,39.37970492449097,43.41343496827168,41.994838756003894,46.266767221271856,48.92069963699482,53.413758422936525,53.390567014998446,57.16872754349801,59.17787525473872,59.0802490083028,56.42129556271074,52.638491206854795,51.44140042435059,49.764659615916,48.085886403864,50.82116315150314,52.616068640927004,56.48582971414778,54.34273577987675,52.5314840142545,55.276512050932574,52.585396258963264,50.10262965950238,48.285729509905025,47.796082942270274,43.641741689746176,44.20216105076033,40.62575697262135,42.806451948867824,38.65286025863594,40.90953499486295,44.27724609141329,44.54290254218859,46.817983093273746,48.38334476539795,50.1482525228242,52.09014335334026,54.088773025362,54.39761494046529,58.28395754134174,59.94922886669838,58.60075652023345,60.77849593508153,63.03867675845779,60.39191450502769,56.98453580956654,56.73333330973388,54.803055010467645,57.339540386729155,57.601158973678906,57.42338000561811,57.077054672879584,54.58634991015112,59.169606137201605,60.63187003588112,61.574832678916046,61.88900007562119,57.45863647698534,62.48117313338488,65.41380941172234,63.06664780761138,65.80063092805545,64.33257877169477,69.1809836657627,67.50127055091578,69.24356037092629,69.37292983430719,66.72637023012754,65.99096431071462,63.398604608897124,62.81453620901177,62.078708878731675,57.585761754595076,57.462088565111905,53.93125036830273,52.18956132986087,53.84391019368551,52.021446244652815,48.6615935536292,48.83883612477167,50.37749206515819,46.36868951022615,43.738591228285664,46.05347367632021,46.814409982361354,41.02268230521128,40.821902263851875,42.47693215368186,39.7290109162288,36.38548394427475,38.5278835997257,39.9674971401268,43.30345218137506,44.933548077690794,46.57789602927113,48.71275869637294,53.96657869033111,55.7670640331478,58.88537286120544,60.000850831416535,60.37689738272658,63.44723964442516,62.08380375867043,66.29173527999576,64.51930840064662,59.18274792252348,62.62124510168717,65.58843050575345,61.229571962272715,60.034421678530535,63.956542111751475,62.782420420879916,58.41638795899398,59.32782211990082,55.470419632975606,58.53578429644189,60.90067186255855,58.9798107578808,60.85383363095136,61.79101256709734,59.81347401897121,56.90115659111188,56.78553069580372,56.44673652434628,52.65833138957777,51.45702055776619,51.744592088410414,49.22209626007023,46.85884697648637,50.15807385599239,48.947497211594865,44.2397216145932,45.85384155268386,49.278231907287285,49.59108554154625,53.49254350106544,54.30049134568519,57.80559911500713,54.758700942646286,50.664875001200805,55.337376813333606,55.602424603098775,52.07024286049487,52.61329757962768,57.80701949893426,55.03310033986868,50.884925954698865,54.692680577759994,58.010122596105994,54.72698677308338,51.372907817080886,46.77925029359777,48.74805889270204,44.15215607456795,43.82946852073514,39.99404463815051,41.77852764703169,38.19380657361457,37.11135023314373,40.49482698703302,42.82185685331563,45.15815113315289,47.58226078584248,44.94066726914284,48.60259857477972,45.56315289154865,40.77287757552282,43.52841167060342,42.213717598893375,41.847334586074574,40.18126112192074,37.2632379426489,36.12559862113824,36.63527750315262,31.455109172176744,31.446941064223928,32.21262197938931,34.52997514750416,34.479460709136596,35.02446338562856],[31.123576236340686,33.766771867309224,36.995173387843636,37.248665458556395,42.90909956851086,38.16978151744871,40.638295346303906,41.40319747279886,38.67091259383977,41.49538828087721,41.107642019875684,42.16923246529701,46.0051588519499,43.511633825232515,46.36893455641958,49.09669690510437,50.1823159153475,53.57823548362766,56.48599228473126,59.72365617102983,62.685913624772105,67.07878629968013,67.61350629706828,67.59515738247553,65.37349862044324,60.928240448435005,59.760498157885095,55.659547972628054,55.0024395984087,53.58242972624827,53.250136446746545,53.35759060275173,54.31186857710351,58.45445704434256,58.55023388714777,58.3245703766126,58.10119092348043,60.72677290175989,61.71683751506302,67.69638769229604,65.14127968218182,64.92141349723626,69.31255088932416,69.90803790866363,70.43037615886143,70.17004554320194,73.60759599900852,73.8734021885103,71.27732105205378,76.20551648262963,77.53972860270025,75.22455261418281,76.5455824411365,71.69506894002149,76.16542620915136,77.92743536035695,73.90520945788738,73.34270767391111,77.51963534518117,78.54383320282581,73.31979360376364,72.33294902183948,69.14497416728123,71.17609881491718,70.36586560580783,66.58718291595011,62.53914132208461,58.931300487204844,55.81196136688359,52.13092364328335,51.35228948848731,51.533376745203086,53.54342556765385,58.267898205248144,57.67272010687508,63.01326837333212,64.23215295500843,65.60777881138816,66.44505001694634,69.02389262650904,67.39342100422215,68.87549487410836,65.53921072301613,67.91444682087877,65.78082219252953,63.117338446775264,64.46384760045063,63.29045774248562,62.61938526991291,62.883592479471005,59.89809788913719,60.63673267475922,56.61124881103555,54.22778078027075,50.61096291395442,48.32205109849982,45.391912769312015,48.76821580590032,46.91571423053404,46.63032472003088,51.787026240922955,51.69590906306429,55.70693765437253,54.67887848464417,59.631318019337876,55.74751314664983,57.79611274989934,58.38121842842157,54.265372830876586,52.917864675212876,48.78475350824984,50.154315191461166,46.13202247174995,48.36615148886075,47.38504134615208,48.62352640175663,51.098498431714454,53.026328275513414,55.065698067309555,51.98109130795112,49.299271091630885,46.6696646916692,46.407024471053205,44.87874521732103,43.00946554099573,47.12213838643735,45.4062873435712,49.70169653338002,52.2537439973421,56.628736859859885,56.84145682892702,60.4407366334401,62.63668837867889,62.298111614191555,59.96134948548889,56.215044708128275,55.226469301522485,53.674407381308505,52.11695151952726,54.68132987462241,56.7408152662729,60.54011857132075,58.2159231683895,56.32679637436736,58.923652402717956,56.00289829537644,53.604396017669025,51.53414289181615,50.909214518166976,46.62688232195461,46.886163367479014,43.063115682526245,44.797929659159635,40.23488308918554,42.650739447545384,46.290529114254504,46.947260340112535,49.283432675236,51.083875863888395,53.01936070975023,55.361369827583864,57.32041409991741,57.999318361608026,61.723988237749126,63.61198340412181,62.5215321611246,64.6089477558055,67.03609735134667,64.37818672842278,61.00775032186165,60.58843762693271,58.601908652434396,60.8923877430615,60.941894145875935,60.56248365273453,59.940921817610885,57.40920521788819,61.76566365403218,63.56190369265836,64.45044323366567,65.10938608043294,60.54754909693089,65.70194254060412,68.75592637056519,66.52784466014968,69.27002788839195,67.81932602741787,72.78411242830768,71.36091560291115,73.00634337246605,73.18198178392623,70.42067443545633,69.70939731264701,67.07248424512417,66.43427822343016,65.69921099558442,61.26570317891505,60.91265890146369,57.326538100593964,55.373070111466255,56.840899926415986,54.78847376504004,51.620468879637,51.87361795440146,53.07581171920791,48.99801399133604,46.76794408281926,48.78743239670111,49.08987742938035,43.5298134624469,43.389568968882536,44.67379306738848,41.78680209553491,38.78172068818286,40.75123099045121,42.5324967663662,45.42746483919931,47.73002366145049,49.25033892239859,51.06319011976967,56.39655948709814,57.89760055553227,61.199917002863,62.240723163483686,62.82390137759299,65.88431568956389,64.60874795684718,68.94448628441981,67.21340484746044,62.03046422837073,65.51449868973074,68.61258700703566,64.34929678811598,63.22819469096331,67.24663579424227,66.19047139674464,61.85016216687796,62.872078887490716,58.773968701710814,61.67683046403136,63.89191206515709,61.68663937988202,63.40990777715191,64.01793589191246,62.13829813104524,59.46182505860577,58.99237111438605,58.46277993656426,54.93337258703554,53.71996781486156,53.60020213528854,50.99166531559369,48.880406863551876,51.949052263212124,50.42235476528929,45.812019160260164,47.5882993404285,50.85824684523373,51.50018065126098,55.45029535624213,56.489855328264,60.05003666893524,56.915328456657534,53.107903095869716,57.91676530824206,58.178874908000154,54.71024983984745,55.54969898542729,60.687416087201754,57.93232124712954,53.99144965835272,57.95103321813794,61.18227997986107,57.92890654366717,54.70996127745386,50.15885669238323,52.17936148088151,47.690681537223,46.97785246301838,43.312089358479554,44.90218119783777,41.255335293601874,40.55659030302444,44.02739076947452,46.49050028459104,48.849745886274974,50.99673601419751,48.37798972696596,51.963098045121406,48.98354881924974,43.916909120427896,46.33990290940882,44.70176166621566,44.336623002699326,43.069359359512546,39.97315735478827,38.48511650814081,39.43408887291851,34.17002059785498,33.61658747582739,34.14237011226818,36.292560754004526,35.9410173216592,36.28999137090469],[27.797143112523063,30.522967881995594,33.571601163223505,34.192749868587306,39.56923952119077,34.54139969235182,37.00574464316972,37.39743202903514,34.85696161114321,37.97488434045125,37.518647898973946,38.217000007599054,42.34293680709373,40.22271573551817,42.93944724079403,45.51028356744378,46.867818000128175,50.390960158118894,53.648267628293254,56.627269936487544,59.8026240529215,64.09298911249843,64.87280725855564,65.00052819769003,62.56855017088783,58.17173008050655,56.74671430218536,52.5513194138496,51.647770298251025,49.930978189757376,49.752261159090715,49.47163624212888,50.38072028388787,54.672391709354734,54.76066022137523,54.76281577217951,54.275346242752335,57.22859791322091,58.30430445543916,64.13907544351184,61.923714000464,61.76935965427696,66.1007072912978,66.84340597449963,67.59160604567882,67.34443564144142,70.86879772958223,70.94061075210233,68.17394655018977,73.15105473804311,74.29172894571957,71.87472348493658,73.11754747806944,68.23315253381789,72.5178579317601,74.45500845088661,70.51068719070412,69.7635071358386,73.96561959323402,75.2169310813206,70.07015871368363,69.06289129672557,65.83235375913779,68.14902321638162,67.32083015665519,63.39638843200861,59.6493110151251,55.86168140718973,53.065049257121345,49.23520344392412,48.726733033525754,49.14957556791105,50.823696631328374,55.577942360638744,54.59455709952992,59.8927133747539,60.94353470419167,62.13294071314368,62.875775859347726,65.4389420115383,63.58427670648022,65.08758724326454,61.53012664334327,63.97744285972028,62.04683340241138,59.331330454067356,60.863939856868235,59.4498295052434,59.0964591324733,59.18506800372399,56.42285076869891,57.30397975885631,53.20596179817219,50.61720620649883,47.00170557295448,44.78128111060592,41.865748708723586,44.842294902569186,42.83692987146357,42.191083880408314,47.54217395199439,47.23777895779102,51.46273472294635,50.347745885677924,55.388402621122076,51.61271156552866,53.553912338545615,54.338298453155865,50.31064992852088,48.76650037377761,44.8142759679722,46.317556692859014,42.37614965602093,44.90473044408483,44.05440798505721,45.59760657520952,48.11612214748807,50.34939424687948,52.45625690808954,49.09534101144054,46.60239980555101,43.79579857338841,43.744175166930944,41.94467838222501,39.79962591931388,43.902500440504085,41.84216334007994,46.13582127244758,48.58120188673156,52.81084469310979,53.29283516914324,56.70820291712614,59.04907239213942,58.45745012068463,56.45424678153534,52.765979135316556,52.044482554243444,50.659501500968894,49.31423355961279,51.648416892596025,54.13412214680799,57.90106730978086,55.40788660510582,53.337019569470975,55.75856034604288,52.63851732825448,50.27840219086433,47.93547535037803,47.108552307614495,42.74303248451638,42.706078128268025,38.77438142693113,40.213804262892445,35.51434288939253,38.08766180145781,41.813546995166455,42.72096774954362,44.99092425374553,47.02980971477985,48.96799074262459,51.654346573004915,53.672590956068035,54.677328799081494,58.23973727133103,60.2934163864814,59.52318961657877,61.43639140721904,64.08340490368745,61.41923494404422,58.11202819416593,57.45653980271058,55.42165950308258,57.42394645036503,57.26679579415673,56.74067016639056,55.88865408597471,53.42113967872199,57.57413661345258,59.59807091816622,60.384561274229185,61.30845229375241,56.611214689944106,61.85258571715803,65.01122715753849,62.91883547437481,65.71016958964495,64.35498158468722,69.39779829667492,68.28835109414783,69.75192656677967,69.96116756967054,67.04986956036659,66.3699576959862,63.697936956196806,63.018800685219574,62.339948907501245,57.99802474837567,57.44362878652948,53.88935728612991,51.66501522302798,53.09560523581927,50.79451457963468,47.756570894192656,48.24440760920109,49.22505276256209,45.019897865692414,43.224498625137855,45.143865528148936,45.05612359791714,39.62897684944138,39.73421669069879,40.86438879963745,37.718310838229776,35.05275472029079,37.22291179537343,39.192998560178054,41.943319524838614,44.76326613678278,45.93597812135093,47.614297866949045,53.016083226841886,54.58069807610302,57.80071232197967,58.53735000552574,59.08597552518327,62.026761066700786,60.63541176504906,65.09879579605456,63.555312887364906,58.37249203719299,61.77243335849305,65.09801153103338,60.978633197326076,59.76709177410471,63.81252438734771,63.05875820961228,58.75031677159223,59.629527000814235,55.36251534884836,57.946533818627785,60.08171631110625,57.71799929682036,59.243977122767106,59.68384995971933,57.760418378286786,55.28334601824655,54.70096130790884,53.97170671773074,50.55964438311572,49.473883545547714,49.1489381139999,46.45695897688542,44.55515005563537,47.63943220103736,45.950230594899224,41.36504337104988,43.40817889384052,46.68760876127647,47.494689428284175,51.38077547558472,52.386196568746264,56.074091644907135,53.086293484775744,49.315695762119816,54.13852497601312,54.61964015164817,51.232541496777785,52.08993320482518,57.319947331517426,54.8216876349573,50.89365722448618,54.8192268088388,58.198649907648665,55.17603167476447,51.971973316879435,47.40059975201821,49.802675630219774,45.409105578571534,44.42142680446076,40.61277753042459,41.770908860386626,37.897532617585746,37.69453280453108,41.16190028243339,43.89651550680626,46.08110168028212,47.86849642405557,45.055153777098084,48.46076531222174,45.47136270614499,40.26100478142302,42.335224437452446,40.519406584399725,40.032780985213606,39.09173680157008,35.98314022661125,34.178171873488346,35.37175117578027,30.174425987000127,29.215795397597,29.57775305397174,31.623535619971932,31.160714780105465,31.448618596256377],[28.62218008263512,30.95637934235205,34.05578904452339,33.64107791190599,38.92147626944827,33.66934334282212,35.625673109057395,36.07673829876557,32.96854400536358,35.56997461841581,34.84484138227057,35.86368941097773,39.838910735590574,37.29016398490648,39.85008275511979,42.643350732202485,43.95488616297658,47.18860629152253,50.21991461252302,53.43286212182758,56.3981492133409,60.81401551234564,61.40890151285916,61.59334960799976,59.373358740328655,54.917569957935335,53.78096916741556,49.657820002574304,48.766106108203715,47.28580438202383,46.594094053054,46.8525054075184,47.62557345425742,51.69683605011457,51.95536865392378,51.824734335133265,51.759449251471715,54.51160681223418,55.701508182104085,61.71283421465816,59.301476937442786,58.814418890828435,63.16147293777594,63.97536534676192,64.6415445367577,64.60880346969402,68.06918816970929,68.094986388076,65.62161438126611,70.68175198305217,71.82133885802753,69.41811964753688,70.54545783229298,65.7053165836116,70.01976693224044,71.70033211640288,67.66561190954415,66.98515131710043,71.08007571656267,72.19446273461185,66.91337404329447,65.74216548523295,62.468395807638466,64.55541463439016,63.88688488031187,60.10026499703391,56.054622180177596,52.3774701880711,49.35756452573534,45.55863842721592,44.90562900305137,45.03377669686925,46.87012359555843,51.63929675875723,50.949924473012835,56.18465295532585,57.52626313749384,58.79783953873819,59.76063005408772,62.462280358979875,60.94541969608226,62.641218735044184,59.3868015669892,61.971610342094166,59.90221833539484,57.02001435766706,58.173300777154026,56.87545182290581,56.08482043927363,56.15516947078694,53.12954845962636,53.74700692300925,49.726270060362346,47.36344137395432,43.849599845597886,41.45063472445903,38.64289306985392,42.11208629531242,40.44457123297992,40.35926712245522,45.48024557930371,45.81695435579786,49.689883384875195,49.10204226977201,54.24411183077049,50.62508766886072,52.984763413322675,53.82428092128537,49.89323155008747,48.210416048487545,44.165269660467466,45.09944458005919,40.88050214824934,43.07408077584899,41.69396381242753,43.12129826864467,45.31495256298701,47.48014422031893,49.15062510341441,45.857163506972896,43.342162196275886,40.76471612015923,40.950291537847335,39.47543585047913,37.7257166064062,42.179498220404376,40.786576465797296,44.97537303082299,47.700065816253236,51.85849445292107,52.57205402647368,56.1826746278997,58.181491154345615,57.51109559944155,55.278569611476904,51.36868302390418,50.884826220733686,48.97703000851166,47.292022391026414,49.55132362468406,51.694604700569656,55.22810009629568,52.62302777699411,50.80404057082444,53.23176515511289,50.11205464645731,47.893813946535424,45.74780453271952,45.30321900330135,40.999276420022085,41.48955561779028,37.42346538094387,39.27295966729532,34.65089703695256,36.63711580632962,40.33031452563806,40.92880381003682,43.56552608258674,45.11754623982316,47.502342408658194,49.905573439669205,51.50704530792015,52.51516291774729,56.05213677540797,58.295606184237286,57.50605543552368,59.760095860531024,62.38611724622507,59.98642276785038,56.47486895049271,55.95930026917275,53.66056367975404,55.695650888788926,55.538692982175945,54.91875966629916,54.24044304601719,51.439963887359774,55.815474668006026,57.70495418355549,58.77042744915337,59.61910465004341,55.27822590420395,60.61134788938314,63.73018407995977,61.43906085363251,63.849881293952116,62.17166365569115,67.2809977016203,66.04473739922513,67.83822626244816,68.25687564905307,65.44838860339809,65.0637948058096,62.57831370986181,62.141346290887746,61.736149267845335,57.35488685869912,57.12900867829576,53.826323150272806,51.54508240148068,53.468383510894256,51.14091503579879,47.86996993688911,48.73062782926205,50.05222785409971,45.702829301544966,43.839267989260215,46.226106525265884,46.33248134733374,40.67873631048432,41.06428253965286,42.57998213010553,39.25209053910661,36.53642492161944,39.212472862175765,40.90693030981555,44.114818347250875,46.48406117927693,47.530319817266395,49.54130020655789,54.909457000164565,56.89171097242094,59.82755332005193,60.3610496351224,60.571883683094164,63.364562081263315,61.62875494122854,66.07849867652108,64.74923215503367,59.275579755564245,62.44319566406384,65.88080927683599,61.76818784753439,60.253076430977,64.12579363700918,63.56830641481891,59.22942821915907,59.58845183099959,55.63795863903203,57.97815592673932,60.36434166432286,58.33067579487787,59.72212063501803,60.46832634026044,58.16018579222335,55.68775916875231,55.61965388541182,54.730460696677426,51.054118533105346,50.363442528132914,50.31784284560894,47.55152085865383,45.70115688578687,49.208043731458886,47.64983068586037,42.96928383694072,45.261863895694766,48.754885782330874,49.37338546336648,53.11098101315462,53.71537930148596,57.52914355561623,54.86810149781805,50.70767325392392,55.337066261847355,56.114784486716275,52.71548750243615,53.08683113786124,58.54875312425533,56.28365514462235,52.011462989535154,55.62483529087017,59.3345700401386,56.45992779897238,53.027621941797506,48.33619925711535,50.95867223224674,46.425550861870114,45.905456855720935,41.672480618389706,42.76475716162533,38.673861208415595,38.281449513622256,41.59807786172488,44.36978969587532,46.3111783265598,48.29666554502501,45.028364152932525,48.273911777265916,44.903571778450974,40.24625940146073,42.375997359351764,40.94516687261667,39.81393108140344,38.803508634518195,36.27198669432389,34.36158011541875,34.7531953586749,30.182354287033995,29.33303832880386,29.303871017868246,31.279378807944756,30.878264434612444,31.476792079677374],[33.030646706575595,35.46463290387214,38.603914816462336,38.30360714647382,43.659372426070746,38.44920823124394,40.40349978116831,40.817901718677625,37.66027798871457,40.16906854079029,39.31063657642797,40.30113172228237,44.346379908723094,41.70590510944202,44.098219348264074,46.96191182152259,48.352116542477326,51.43356903219892,54.38114684473996,57.68998576592348,60.54925624887435,65.0216060634994,65.52405340368759,65.74722285721462,63.64853528385882,59.17374297096282,58.1734951059783,54.085222592303055,53.157101752563236,51.70412752830752,50.70930857726578,51.12904923459432,51.695979631838114,55.686986184040535,56.14506935392831,56.08057127591999,56.15119853593236,58.937070482681264,60.20250686038518,66.2472424554062,63.81443345970583,63.189101260640726,67.52616226820197,68.38677953115507,69.02722170385516,69.07014069599974,72.49718382243152,72.50744431912415,70.13962591747614,75.20899061930096,76.35221173495336,73.96734081844889,75.0384281763472,70.21256774719724,74.4831532499493,76.09240757062166,72.02781747204578,71.31324147729221,75.34757081146904,76.4600433247065,71.11959264519,69.80071672853495,66.46171880720628,68.47294817931967,67.95305372254187,64.237001605831,60.054225163879416,56.42120505736507,53.32069801201243,49.51771925602572,48.81363749335375,48.69412037806659,50.585425867716296,55.373088499435845,54.81892247240735,59.89611091390524,61.49118219246439,62.676698451392554,63.822963503373444,66.64541494130327,65.24535241178525,67.07765087225238,63.86302757184529,66.54505881344775,64.4999873492448,61.53478849516054,62.56684931558506,61.206738594087966,60.29506266385541,60.18223607641736,57.08405896129702,57.45192943487037,53.47879117737007,51.19540043141387,47.862687516875084,45.28368775704705,42.68223517753603,46.23461885411071,44.71940795839759,44.5938631508396,49.81578413235507,50.28302214118423,54.19050074766207,53.718592761820645,58.92061646771407,55.35749059216175,57.70187756080779,58.57802923747867,54.649774771124974,52.950269653336726,48.93358210718818,49.87185938331897,45.63833563872547,47.80092597684684,46.31394187740811,47.704797274866806,49.79383608745407,51.90583757211574,53.392200896756734,50.14233274071026,47.627503834922635,45.16457732803641,45.41228586097879,44.05956556295778,42.41423296195655,46.90749281420324,45.571221453526576,49.75714809435562,52.48274347542721,56.639310097303394,57.34397796679767,60.95266011317411,62.96139197894823,62.290154275400276,60.05373084846796,56.13324357497903,55.625833103712345,53.67452358136943,51.920409344425224,54.206387389768985,56.21297346406244,59.694691435974185,57.08330096204849,55.35750700387241,57.788840508976214,54.6610907345148,52.497189190134186,50.381460575485974,49.99807331842452,45.69343777092773,46.18771509465734,42.05064016081527,43.778424994866,39.00892882478894,40.95792751536039,44.75282160855944,45.44538354572465,48.164776422106115,49.690615910554335,52.1982969907302,54.622924597338816,56.12895557296466,57.16999571274509,60.68684754280349,62.974712930155974,62.15510408467208,64.4720293028631,67.05923927453412,64.67757039790088,61.147432468511056,60.682064680220904,58.37140764390522,60.425211690246115,60.258686338131355,59.59450410266646,58.88907162927236,56.01122805669737,60.35310092921894,62.31102765421359,63.41811200053359,64.32392983622455,60.019920828576524,65.37357276294824,68.49639321642195,66.19391816947572,68.54735856940094,66.80233955503829,71.92999736018707,70.65593449096876,72.52176490999474,72.96372702567369,70.18795852518627,69.81983053741381,67.34420626962425,66.91017550849334,66.48319896979137,62.08466539773215,61.8563485208616,58.51458883591749,56.26887438104576,58.10953347722335,55.79051408931907,52.56335083743254,53.33529727746617,54.587769393967804,50.275575053090336,48.39836430245304,50.66815212117288,50.72551527618424,45.14222794641348,45.41815744935026,46.80024947323249,43.541582926369145,40.83092989684943,43.28389173304337,45.070354066096385,48.101817622630925,50.56372223041522,51.743324276219646,53.64273729054647,59.01929650724416,60.793439356949726,63.8829134182323,64.53986320723165,64.89173404182274,67.74297054564741,66.11963958494023,70.57342508018161,69.16580625266724,63.781333033389636,67.01805480598681,70.40258875166124,66.26636089006374,64.84157835816247,68.74577824597331,68.08573360648967,63.74682963013168,64.2403027681183,60.26228381565423,62.682443960435116,65.02841941268534,62.924732082064544,64.33089016987422,64.97525073415929,62.74206079313727,60.3099295945121,60.097170033770524,59.19656143138616,55.62010898597954,54.85946094901323,54.6786236556078,51.90759259582982,50.10324681394765,53.45663283057246,51.79291175955631,47.16607467623108,49.40854373487395,52.79804567407341,53.526723719825064,57.32687079375173,58.08750339839476,61.86262618906046,59.06977110901059,55.06012628974324,59.75862560540753,60.41203184328024,57.00331063772812,57.53564403698242,62.911732379367926,60.50980531305902,56.347917579309254,60.06436715490842,63.64029277435865,60.6491125827351,57.28144854812037,52.62705875185489,55.052303541068085,50.51694781507374,49.94254974351818,45.890636574834105,47.13355344105743,43.147910765064836,42.67648056342366,46.04236880150056,48.72209946855375,50.78215215389561,52.82609473881685,49.68718721325158,52.987158951169114,49.659812554400986,44.94214280017082,47.07371589392458,45.55590427809969,44.493408450427935,43.54158204502866,40.91685051350642,38.98970177586523,39.50781225425674,34.875455056075104,33.939863643757455,33.87610518540061,35.793965752125594,35.27154444166141,35.74692302431286],[32.482955561650364,35.21642175489652,38.18329953882379,38.81502474058324,44.03510073031452,38.77781453929921,41.02258377566084,41.09830423147709,38.40093815914636,41.40486178777938,40.59476650870168,41.09726857916725,45.500276407041,43.36584146771512,45.68012337736653,48.32205846702001,49.989772775466655,53.293675169744006,56.6253631348157,59.63406064189191,62.75408026406676,67.09726096822934,67.87087613369461,68.18457070581007,65.83562699300411,61.41899937839464,60.09234538179262,55.893505625024964,54.751065086390405,52.92752470056449,52.241670667062195,52.08754932110888,52.611653331824606,56.83190465604528,57.26639418399918,57.49536263385196,57.150481551610454,60.33709969163149,61.6323126377709,67.47358803922688,65.41525013071184,64.99484156590934,69.27801080913876,70.2254179031827,71.0782893670661,71.0279250724835,74.5465974192592,74.434770523372,71.79570475609803,76.85399724826745,77.85239258929107,75.3841106601742,76.44574883457777,71.5664166266081,75.66071430910812,77.54252636200653,73.57695920555413,72.66428506727912,76.76649714960067,78.1440224925862,72.9197156699608,71.62593385682626,68.24838806434902,70.60144156890233,70.02807940430331,66.13304345362516,62.31223337116362,58.47889970634947,55.729573424324855,51.781753833576545,51.35545347634788,51.51007532262851,53.06640863227894,57.88414647975086,56.89542931442419,61.92193463409422,63.309805555561006,64.25962600125708,65.27163641567094,68.05041008549337,66.30558645546391,68.09494805925323,64.52768239988646,67.22581423409011,65.43672888919545,62.496489417114795,63.86326138674555,62.211255456571266,61.77407201965401,61.45278069740853,58.66242796536717,59.204189513250924,55.13766783411815,52.57573660197938,49.25130348793652,46.75398622773777,44.17826061377068,47.151658229453886,45.371535844713236,44.591401446020036,50.166154208220625,50.129867709988176,54.44278072126929,53.62856174736947,58.86014436164472,55.31357917028118,57.304828805917246,58.3161468769878,54.40272129724395,52.63407511077116,48.835670461659454,50.22510416335141,46.21970460458426,48.796711517203484,47.68956688210952,49.36901642566839,51.653716941187405,54.020203441044565,55.76318485065648,52.27028282865134,49.9068030818577,47.20698262534746,47.49037699954584,45.7815818715075,43.72885511111787,48.020212231424175,46.04275028122072,50.28559310413505,52.7554223280755,56.838612167620866,57.596843745066074,60.9363114141197,63.274434904873225,62.460986637986245,60.623712144928234,56.88465085507654,56.41710406967486,54.900831504371325,53.48716991810943,55.66354770647506,58.15029908729645,61.740320347236995,59.06784433430972,57.08102244874997,59.38025874285993,56.093249392803,53.88936842174743,51.453747950998746,50.705175166616556,46.29752236327477,46.24400736630226,42.071791273283196,43.26153152679874,38.266193274970554,40.6677660137456,44.60317539391105,45.72797510716799,48.21099166159068,50.210783890128084,52.50162244239121,55.37837735272868,57.14956085310243,58.452698414992824,61.85574540413533,64.16729134658137,63.58979269726862,65.5857035866477,68.334491501475,65.78514811667311,62.42253797933966,61.71557755110496,59.53107892168346,61.355530724865154,61.02720125609677,60.28932014060082,59.282335039020474,56.62896181326778,60.65655269465438,62.91009731008558,63.77834110514838,64.96244392073721,60.34801930155081,65.71581837692798,68.94404989198728,66.86905481339174,69.48080790366991,67.98675215145997,73.13796283680878,72.16974169784292,73.71533741734683,74.05969986244016,71.11383687342722,70.58554178517865,67.9687374332805,67.35012431443207,66.77884113579643,62.47212817727393,61.88285582409583,58.393845440624894,56.00377780566484,57.46159296424481,54.982971751433574,52.031916273520764,52.70257560900877,53.536022128701006,49.25744904937789,47.75189127602387,49.58734923861907,49.205921432694836,43.937810479845666,44.16992413129606,45.12133553996246,41.84377442385759,39.44926959378292,41.605053346378824,43.72779901223931,46.24921897105789,49.402577240380076,50.46606985653021,51.98678230362845,57.40675895185639,58.84033786182459,62.114630463851185,62.7355263419209,63.35144740068441,66.22625969709084,64.8008349301837,69.34638924657318,67.90828811252011,62.775057997791855,66.12144049591113,69.56869038025764,65.53583144002073,64.28770711186884,68.33363120366079,67.72039547449032,63.434396925862316,64.22155317609423,59.91092250046804,62.2792326716367,64.37877158608501,61.91619327591216,63.25908777864497,63.52271115611539,61.54791285508643,59.29545520570845,58.598756557014255,57.641019169146944,54.38525178448835,53.44609341086808,52.86327604896496,50.0865289411093,48.448833689128406,51.45005365107871,49.53302623049575,45.05049315692173,47.301494785472286,50.48290002418889,51.509628261450494,55.363531230019866,56.42865184558172,60.182049457687874,57.23886695197996,53.60424896058313,58.446627291280066,59.00903927085615,55.68234666775269,56.613951862905175,61.84565012962766,59.423989754537395,55.56643926208455,59.49289083283448,62.88729184824907,59.92163748885493,56.758907232720674,52.204495905838264,54.6560456352538,50.29973287773572,49.21077803319077,45.43747835029345,46.47299110602016,42.53250711226457,42.5031917451521,45.963498289079446,48.75857121932625,50.89051888577938,52.56713448224567,49.64103548214828,52.92240796146606,49.8524032851902,44.67750694042007,46.5036548489498,44.5824248157686,43.85316748954248,43.22390983799827,40.21723434368284,38.11154879427204,39.343259382021614,34.39772306294236,33.05910038371756,33.06060715148355,34.89021696331288,34.176838527185815,34.364214690157105],[30.105492039450194,32.60757918224486,35.42306077064371,35.675175307379114,40.53751313128166,34.92700019734164,36.80969735803616,36.58340625818279,33.70039821405548,36.60931952183137,35.55849774921762,35.926734520006335,40.48133196466778,38.42126907309801,40.48849506493958,43.12001091818305,44.9963860240814,48.213560939855235,51.69669818182556,54.613417492329305,57.77545952455334,62.094782053510045,62.96037952055467,63.43071310370423,61.041119641249374,56.64631570756968,55.28373075785619,51.06599367392822,49.72088947159581,47.7948264186317,46.91797379809211,46.76535282513841,47.16105401051591,51.36682446880378,51.89944412660374,52.24002485093443,51.936767877602406,55.26920288103068,56.70532249257131,62.52020451843935,60.630077946587235,60.058254304819435,64.28873915398017,65.40090889835673,66.3895125172995,66.47971681341843,70.02533575902486,69.72441833499684,67.12855227238032,72.26731144463032,73.1024524710836,70.56316913923293,71.48792540570369,66.61946026301274,70.56863072675212,72.43435252327956,68.48968173080546,67.46493226424887,71.51512732931634,72.99427879807737,67.76038690941954,66.35378735462632,62.923334254689024,65.37184374640361,64.8773302390305,60.95105280752167,57.21520547102706,53.30686153499163,50.71183591097316,46.66944151497733,46.39423120250251,46.58330277689466,47.93441468823504,52.76948437200188,51.62416618929539,56.5672307296238,57.98144091815692,58.82558920971034,59.887878668993714,62.73211900188181,61.01146483917247,62.935859550397275,59.38191644519274,62.22243861833498,60.51867745724196,57.434666208461394,58.71604290010675,56.93702455825893,56.496405059953695,56.018917771527434,53.26061943737637,53.76670551563247,49.69119788717265,47.09326857419705,43.839479774507474,41.29398653344989,38.81027652037631,41.730983875832806,40.03865690122544,39.304034562679824,44.89470820518524,45.099074611339475,49.35688259877071,48.81859601410506,54.18197119244873,50.842210251944756,53.018576661995766,54.231590880836194,50.47092685302661,48.448753574776724,44.75860900438198,45.877341732095175,41.78111769469423,44.38267636632737,43.05204872406146,44.91571566888155,47.01642402405782,49.591956949514206,51.11112605103019,47.43894310954832,45.24133602401788,42.5490385232995,43.16764702418918,41.44043988057307,39.41508495937862,43.892947576387634,42.06511495569968,46.21239572295427,48.7614649784271,52.6557379842023,53.79236109210012,57.09578379938141,59.318980997076416,58.2440927284612,56.54209302932122,52.722329308459685,52.63845758928055,50.93290049632218,49.4918625166203,51.41034276598703,54.02905494404895,57.427921793650924,54.55364315074729,52.57895428286865,54.72156171638158,51.275864076113564,49.20633107859669,46.67020299209621,45.99794625848105,41.57781995050637,41.61135345238641,37.26393528082098,38.45779564364571,33.4035386215417,35.53747633672713,39.52230389283079,40.66514394402494,43.3286148638642,45.21048792507126,47.79339257831141,50.77111373579739,52.31485093873554,53.8956218020482,57.131246701204226,59.696996426836634,59.379356668638984,61.440228857642026,64.3503098794172,61.974757565092354,58.54749594130664,57.73513451441951,55.34852886830269,56.9424836830097,56.440154370775616,55.51914284797826,54.43178432891851,51.62271317941118,55.61275900669943,57.96683703156355,58.92912632483181,60.283532376431666,55.80041892936775,61.2878147304839,64.56832076127303,62.481410048434334,64.88015244037148,63.26341403374854,68.50894477886837,67.72561523442485,69.32414013197022,69.82818576902459,66.83218032936277,66.52340968317752,64.00822913462302,63.51710449618368,63.176450541503726,58.9366366608996,58.39954847468596,55.118541928904634,52.47470993283897,54.23004003752208,51.5361983303858,48.546613379071246,49.66468203824934,50.54545556118798,46.079920726264874,44.89910372504346,46.962679709885336,46.397510659597074,41.10906521108841,41.739114061046195,42.82975361462014,39.22771322086246,37.099418419109526,39.75851314222916,41.82596706539451,44.54323966412384,47.776260425340276,48.4645699024715,50.1063572064985,55.53709072264873,57.31757880975036,60.31500571116394,60.54274662410359,60.88469038963965,63.54978838269196,61.79163865928666,66.41727610870511,65.2851216563783,59.96353239485864,63.069968157749486,66.77099934915837,62.86998534578609,61.34412584272015,65.28330250784452,65.0514157879898,60.782138151486,61.09984826254528,56.87885822206386,58.81182042092611,61.01005801669259,58.652936343150266,59.73774122404359,60.079909730617715,57.804213498889,55.72284777887099,55.295704725886836,54.06533218855257,50.727348878381335,50.17329445963924,49.622707279639855,46.73237474731253,45.31042598532572,48.617779405621775,46.67113331784961,42.15479718270479,44.796773733459865,48.13108277044737,49.1475889211533,52.82973929643188,53.57573723189973,57.51016707965096,54.929474790118384,51.05792557409278,55.757708472392785,56.705228645377055,53.44736428195824,54.04989544393504,59.49964195687112,57.45738686874132,53.38533043267439,57.05401569573395,60.7848352458932,58.11801970853964,54.82294162668782,50.190478161470494,53.08788361302863,48.73573734932772,47.75064807711282,43.59800711345034,44.22861313698955,39.980821920673506,40.23645883126827,43.56399848509072,46.588305060908496,48.401278268771115,49.90468635700927,46.5290336803414,49.53388124534297,46.21900695257018,41.32606350286884,42.8781786992998,41.0787684802811,39.802723660986125,39.417027317408845,36.81555672098645,34.370071091947324,35.26604667738796,30.85773798286659,29.232082187613862,28.796506545181565,30.459518315652208,29.68142449163401,30.042761813263194],[33.45686850533746,35.693660526810376,38.394777837371905,38.07048946732361,42.59417471396144,36.69745988736389,38.02759992206723,37.49427101665199,34.210752643843364,36.68362333290995,35.1446720542587,35.452282640688544,40.13446473590485,37.917953919872744,39.44555035202712,42.2022955415726,44.36482793415464,47.19079092596951,50.65023841826882,53.63838572684697,56.64302169024533,61.02417579165695,61.824576828268455,62.529127187808314,60.30894564781022,55.914484596981936,54.76639406256073,50.61499753559947,49.020495563579246,47.10731737431313,45.49338334143688,45.7208619281439,45.6748022851674,49.66461744969995,50.60234995394967,51.100159585627885,51.14338716884786,54.588464850358285,56.293427297642424,62.146543438551454,60.35892982327539,59.36308036344381,63.513306801190076,64.87911653663205,65.95705521358205,66.34250754425915,69.85571898345422,69.32582691070044,66.98288422171318,72.22366990219271,72.88590629527577,70.30556147227814,70.97942255410906,66.17781992179052,69.90864262773889,71.59147854866535,67.62515607620705,66.45980071611115,70.3338184085648,71.87554150604356,66.53437994383147,64.78076991907561,61.20867494496944,63.5987867462183,63.42014457161794,59.597426492550056,55.71542247104624,51.825585638394536,49.24844387671512,45.123541708295754,44.91414564994773,44.75221014714179,45.978364874813614,50.83985475278104,49.77617941421733,54.38832948233321,56.22917317372111,56.870583494396605,58.2783912692831,61.37438789862187,59.931566586064704,62.21672249907763,58.83649460581364,61.97178416226153,60.3521566349306,56.982952847984585,57.90221020766973,55.95737830336826,55.23099060474504,54.35374530942897,51.47155311426935,51.54134800180559,47.558504652912475,45.10860186773289,42.21643726006417,39.352442715925434,37.28766992112704,40.39844181678676,39.12740425936371,38.6090313273629,44.18578262776608,45.022735904016905,49.09764604600731,49.166224997271456,54.719323153728276,51.73254524886886,54.19821945622942,55.662520946517766,52.116383667196786,49.79563139458215,46.25350525697229,46.905924034010965,42.65183026448298,45.101886222503246,43.25585580349321,45.21322982102262,46.88194394636951,49.58051388461394,50.504526817631124,46.728150574335956,44.71909843776949,42.25962488874122,43.374520766622794,41.886297331234736,40.16008228882464,44.94103276871777,43.56612696557327,47.538017111685825,50.23623695580919,53.887615975291155,55.45540644114592,58.76065234087719,60.76095404641546,59.40456624294413,57.77268811347455,53.8125548860503,54.1609430089463,52.065642330038905,50.42212987835266,52.07046588476616,54.55194969725649,57.60627171010731,54.48993272866133,52.723012078649504,54.694319642867434,51.09234633819587,49.28647900699424,46.764834351958555,46.37672389042187,42.01126173130625,42.32414371494191,37.735689826233134,38.92737277765233,33.77317558718893,35.317823019144,39.395077459297426,40.53748247426922,43.58022826091427,45.11742689264323,48.27097986849046,51.25643520220882,52.30789639353771,54.2076665787145,57.21775752409717,60.15110155440636,60.05902693553116,62.35620542553558,65.37073908638702,63.28093116895054,59.7196327905729,58.90369352076761,56.22834245803585,57.60789977444966,56.917743668198355,55.73099835006006,54.592631036288324,51.44203080912639,55.39844654405321,57.87895796601194,59.07288123238274,60.640887975012085,56.47297406120894,62.100958335155944,65.41154142770863,63.24917900733621,65.23200647130525,63.318145120123845,68.67984657755376,68.01395202831077,69.84530025342005,70.60404368164468,67.63259003456955,67.66138030802989,65.32768595977886,65.04286914038838,64.99212774711498,60.81429695346922,60.42922256791355,57.403582647638366,54.55470378661716,56.648809858334126,53.77114715043164,50.74149554402199,52.295250626880865,53.2485691314949,48.64232864339279,47.731857644187656,50.01329560231878,49.29865131751863,44.046303849725525,44.998660713157726,46.188984359067035,42.35723698398567,40.470575994523415,43.4651749881031,45.46880199762076,48.30053411896959,51.536030578170916,51.98565862505297,53.71182070696527,59.117851194961986,61.11291471927205,63.91597007000748,63.85022449960163,63.98234113602709,66.45455509687011,64.4047028900677,69.08451466125577,68.2323605070143,62.76422685956244,65.62949339552277,69.53595091540974,65.7541198699801,63.97495513636089,67.77469382979552,67.8632004468381,63.61807617685233,63.47021605052802,59.422713730358666,60.93591618184782,63.2509502081888,61.03402548260728,61.83741200376206,62.23514899395943,59.644620017100166,57.79258839072612,57.633771241161874,56.08673327081663,52.72426393584872,52.59380462532631,52.02335849818179,49.02918915415759,47.88884010850682,51.41508995930139,49.39340190002777,44.92977747701609,47.91616466587546,51.31407948292177,52.368341796450274,55.8816909398386,56.36697199806311,60.441440128402306,58.173993926052,54.15180653144738,58.699663945938624,59.95833751914886,56.770769162319546,57.08626396689188,62.68910308726648,60.93454959821823,56.69754967416267,60.123760196294946,64.10980797821713,61.6518323107587,58.24895737168321,53.56921799477722,56.72016738644046,52.349950628984715,51.545655496847566,47.13676650968646,47.537074634887745,43.09404504512226,43.45644544787381,46.64180976981085,49.77003749630694,51.3273083245012,52.78355635409116,49.0087535133353,51.737243044112944,48.13800875625501,43.68095387515428,44.98299128286142,43.359047514908305,41.44832108390188,41.33065723534856,39.24137516180986,36.47861418979875,36.888378637002624,33.208220073179646,31.33352213359278,30.331159568151733,31.677130319925876,30.751513232854908,31.25473965183386],[33.854000883887245,35.79530767134619,38.37169676548478,37.49771348413722,41.69565514239071,35.64523641986526,36.52110301071114,35.824166781007484,32.24813829774728,34.35540132026191,32.521394307470715,32.856588077642236,37.51987456830122,35.188176674217274,36.396101850906675,39.22518879222677,41.51253883798684,44.09167699894208,47.518775126450116,50.535601544789934,53.442203007859824,57.84420496912864,58.60982140305133,59.444328243265964,57.31900941949795,52.941522182716795,51.92101456531398,47.82930833129933,46.106659900460144,44.2454152470726,42.22036187887779,42.72112276923852,42.478051481073706,46.313780322847734,47.432061757715516,47.960385185790905,48.23998956334298,51.6794943672484,53.526007451483544,59.40013897374077,57.648731893760086,56.4011113955631,60.49810969022975,61.99950519692869,63.12495636458148,63.68508227707586,67.17369840694371,66.50847190430764,64.32353889438373,69.61631552284206,70.17781161121367,67.58384851177483,68.11465004486973,63.37009289810895,66.99190771076316,68.54407102193096,64.5702545541232,63.35876230018065,67.12885009556037,68.66848566789261,63.275677383907414,61.359577561211076,57.73305301808212,60.07083758873461,60.03967533352524,56.28295154677735,52.326992574075625,48.46165801882126,45.902201690031205,41.74984972327712,41.584248987913334,41.26486356639134,42.40390048437952,47.26322410179103,46.24477619679355,50.71126571599782,52.74313689518288,53.326153138835316,54.894818530459816,58.103472754869856,56.84679627170333,59.310991442118436,56.09438496222923,59.37196562811151,57.76509031796595,54.24470828789603,54.92140725916711,52.942759224090395,52.008981535928314,50.98299859426604,48.007325014737056,47.87783372135103,43.9511395962929,41.61053828859035,38.88285327649757,35.87781236168927,34.01077979636045,37.29421247474124,36.295470421247835,36.06953261265777,41.497382590805216,42.791897760840655,46.63627324701336,47.12415355361289,52.7491759335963,49.99176601323263,52.70488826310571,54.294980981331655,50.91496625408749,48.4205170454873,44.961658419158155,45.2164020339353,40.85841120547275,43.14449390571947,40.94414081314698,42.94401164180995,44.31484644912874,47.08660437301267,47.63665175584665,43.807543466628545,41.93353742671882,39.629158565309744,41.07236693122213,39.747845008948225,38.24992324474945,43.21203592698438,42.22352277129411,46.0287042435499,48.844434850337066,52.31447762250153,54.1717646290731,57.49836969117211,59.28489978907093,57.76052350584491,56.1317168491558,52.07575780260221,52.73520281050456,50.347341795646116,48.567646488521135,50.00711445041643,52.3894664979862,55.19490915615791,51.92850747507873,50.303074983224505,52.15640721862989,48.48261656437133,46.85287151713216,44.37992924633009,44.21603453685948,39.93311286644711,40.51829943706116,35.83461886745022,37.161864441545575,32.09249941700842,33.14901438494325,37.18323827634723,38.1989437832517,41.48828819248758,42.712637779018465,46.22530440695955,49.12710372503514,49.83640662859234,51.9034268859654,54.76589909160219,57.92171445918446,57.97106550965237,60.43442815331328,63.508170652337604,61.63910973870445,57.99056870750324,57.18027085951391,54.30537615687178,55.54645383068459,54.7542090657732,53.41857909233756,52.30703413611421,48.93392146245361,52.92065756021896,55.39953297767387,56.76525820608844,58.40693330223085,54.498680650541175,60.18966919211614,63.49121849162113,61.25713857330718,62.93712764735919,60.82246536940407,66.23626682986058,65.62886824051257,67.62189151763069,68.55378493036513,65.61938101710597,65.89429643514949,63.709778991481045,63.59149210311996,63.77234543931388,59.655905539754976,59.42469338599007,56.63009495624178,53.65813246954589,56.06438062271108,53.097051890671686,49.99947900907862,51.89857013040285,52.98587501187828,48.29222914740842,47.53215590906705,50.05630773916636,49.33069596488576,44.06658515452,45.28669034169351,46.65378899091823,42.671566584915176,40.92254040921352,44.2537287724326,46.1112255859075,49.14649162893349,52.22603496328598,52.465009491695966,54.34005221944605,59.689339050689824,61.96524214050136,64.52902313999313,64.2177379638749,64.10230578378317,66.40521267079951,64.08604966730027,68.76701968783547,68.14506698762078,62.52329224489411,65.16469998609487,69.20884346645826,65.51937720256468,63.50912386699137,67.16259404010458,67.50907299353612,63.29465714464853,62.726159076708285,58.87608504427144,60.06394042861972,62.50232013516616,60.47781300693435,61.092291323028086,61.6367368182895,58.77017175090168,57.03015024193749,57.197920561400245,55.46503184194513,52.00191477421063,52.218073652820514,51.76882258971809,48.727013390251784,47.73160793814772,51.51084289524861,49.545104092100395,45.09303309405547,48.308696974671086,51.8091894733651,52.78164545913164,56.126951860899034,56.314623036742304,60.48254207342442,58.518809047880474,54.29073437820881,58.65814123377944,60.189979121754796,57.05840460936178,57.04813616823628,62.78459130533125,61.298478975341844,56.88280869663691,60.0486349301865,64.27416078821412,62.02019436822498,58.50801114820993,53.79942836443992,57.19074717632294,52.820325822734986,52.22650536592556,47.56472063395664,47.75681407325653,43.16728835308579,43.58920606476558,46.609868613810974,49.81392632991008,51.11696155050125,52.54383211551307,48.43378447202649,50.92414933596851,47.09959772324929,43.07502110254992,44.227435789214155,42.83655774328999,40.41875899397138,40.421387364917855,38.809621692466735,35.88853361329536,35.792167737044174,32.75544768418809,30.812414181663403,29.42725109313373,30.559314123017852,29.646485331205128,30.343937629682294],[34.54760538177722,36.75288339760271,39.14787503216732,39.13828921014756,43.17833671577549,37.06057794927281,38.17902394310616,37.07453630687194,33.96880362224945,36.55490040969804,34.727678838558546,34.487178622226764,39.551109052433354,37.771935824376136,38.80741332713279,41.38287663494993,44.00603633364355,46.746974990968326,50.550007141476485,53.247008917450756,56.38385154090825,60.640106209217535,61.670712524126074,62.62625079088199,60.284411680737925,55.98586588245206,54.666109518302854,50.48824347920852,48.512651185348176,46.256938650606614,44.45508650788197,44.36515434120274,43.97080019901232,48.0078059276907,49.18610907090966,50.08015979193061,49.956656934065116,53.85005976880699,55.76646626470397,61.40882343625631,60.07734317300875,58.98190750564683,62.99209408903959,64.62392559328106,65.96759600144308,66.4772726000426,70.03808629662696,69.22722674877816,66.82332785949322,72.11527120402852,72.49569673523686,69.79676658306406,70.26992002886497,65.4900685320911,68.87498311958228,70.67537279418389,66.81209798154535,65.36185276539952,69.15789897477963,70.99612853372801,65.72955703286003,63.778003663323254,60.09672014296415,62.78205943881547,62.755207969671005,58.84598212473706,55.269890635208746,51.221496133011875,49.054121818842084,44.771257376198434,44.904686466419086,44.81395699441242,45.57879760141077,50.431363942433016,48.971305555041646,53.27876734755891,55.16084406165701,55.42885999716725,56.91736046127311,60.11823596787855,58.54000648393398,61.026626705671916,57.45570816137917,60.806197154520284,59.50036851057319,55.96497650128934,56.94086045183332,54.607299780210816,54.15364994102919,52.808250196028325,50.17676883777175,50.14819524405386,46.16597717901634,43.54939937186009,40.93779669518572,37.98908131128355,36.2638368398119,38.86220542229579,37.64074178706567,36.65004030607017,42.49622946435807,43.32610655050192,47.60493627350556,47.82393342509152,53.51979841184148,50.85222600401632,53.22262603366943,55.01093474057232,51.68736841141706,49.06503813253142,45.871937846572045,46.544559561255824,42.42115140721456,45.1225125247174,43.26821937684362,45.56382055037855,47.08233679289699,50.10591700206771,50.84658500038251,46.786846701962126,45.09527017914839,42.59354341430889,44.10062376629632,42.45295661163578,40.57636617137885,45.34291498836947,43.74016895123429,47.58537786490843,50.14968110167178,53.50029400993996,55.475840026550394,58.51719264291904,60.61456465562029,58.894973974612014,57.70339661116886,53.82403925438165,54.57394881278398,52.58459210707307,51.123814815751516,52.42803461717059,55.26265594801464,58.133749857473894,54.79475832923371,52.93792196860039,54.62871347730231,50.78145614780151,49.153494305077,46.35144625117252,45.83231499581129,41.45832032708018,41.46998412890363,36.707103207256324,37.38246050543383,32.01304457327744,33.48583134148131,37.714669294109676,39.25515351107056,42.33513519342717,44.03965290855908,47.404137360905416,50.79889728502045,51.71470852033503,54.10160992808644,56.803873288566905,60.02814253602169,60.36201207743845,62.518761228276084,65.76405585337832,63.76146215437972,60.269049937678005,59.2180722033684,56.44253349530592,57.41701291056928,56.42462595695363,54.96745664046279,53.5140770787536,50.33628149180394,53.943135632704816,56.78081180602914,57.92198537547773,59.90542014469811,55.72481001255417,61.448549939916305,64.86516031144113,62.8645239976269,64.74985448410219,62.8567218746102,68.30467430517314,68.03024643347175,69.7261049896101,70.59355538632424,67.48681750994973,67.6453131866126,65.34423041918538,65.06686863049967,65.13694577883638,61.11690570135866,60.53968109645822,57.62995790848811,54.480010944070514,56.536163135312115,53.36705769957627,50.5591752965882,52.42065298555424,53.079032940327934,48.39605867707398,48.07120503019417,50.17961739974657,48.96135567569107,44.04175695355533,45.27314343021396,46.210603231176066,42.16049430101693,40.79220026612493,43.880244342568815,46.0663254277816,48.5982917759687,52.37160109253873,52.46120421006765,53.96258065866447,59.34987165814815,61.30459579674358,64.0270103641807,63.62335861029434,63.74845179098934,66.03843409961945,63.874298592829106,68.66652758360976,68.06247650746604,62.67943851304814,65.39472811708603,69.539909817613,65.9746461025597,64.1095365718151,67.88814073170566,68.32682581512348,64.16674424618768,63.83796337528493,59.67358879368887,60.74350424423214,62.940072699529075,60.55745797308834,61.04783828510695,61.184913458250676,58.53388120207627,57.042437612353424,56.73238608302015,54.861121475172475,51.75143616135869,51.86192719619333,50.957456836770405,47.88017069363109,47.14253219375906,50.584831004576316,48.31390977763145,44.03632995779573,47.35080158069003,50.63818659469138,51.94483877681339,55.30941225394789,55.771432156683616,59.945441833216094,57.88564818958275,54.027565469799086,58.517673580289696,60.009484729182766,56.97568576583197,57.33157070027083,62.94158718333481,61.478275519994554,57.346416044811406,60.69069529374192,64.76569895818523,62.56145527102457,59.237549636522836,54.621385864609735,58.057437634839474,53.84983453509621,52.78840868273143,48.37092386725851,48.342444405456725,43.77577222750056,44.637490574141594,47.73652434328461,51.05531953846405,52.41030527741572,53.47646169562987,49.53519095202814,51.972381272740414,48.3804641749155,43.937365582699464,44.727043688451914,42.92677930660939,40.75423739481486,41.1622020785315,39.21935460092386,36.040014092748855,36.65785913261488,33.403856280698555,30.981798167146486,29.557138980509393,30.528852501801026,29.33972908453443,29.71313935605853],[30.611142986891426,32.94687102795233,35.42207423727438,35.7055886656557,39.97123588087838,33.99775691974212,35.48671517713329,34.62929354616971,31.755449110765348,34.67363989065519,33.228141334786464,33.095859966297304,38.05177720128718,36.34612081054878,37.867281228994884,40.37440583240258,42.735363550409346,45.81502032245142,49.631742806955565,52.29764835914571,55.56689763859248,59.792333755037625,60.86632656240444,61.62200464315617,59.13784026886719,54.8216324633739,53.33398457073406,49.08974620012103,47.33176786765583,45.091564330336695,43.91090073091479,43.54991912230863,43.58256564644288,47.810220556860145,48.60838461701266,49.317870948445794,48.93709472508304,52.69689076946,54.38780276245981,60.03953339540725,58.58266268842703,57.82391664196417,61.920438766435495,63.33339574391535,64.59710360284136,64.8755670842061,68.46752364344417,67.84096896631394,65.24035960759792,70.46351663865637,70.9967739683763,68.33612487999207,69.02408027188379,64.17858880207504,67.78129545791887,69.71677479542225,65.85308836630074,64.54608396675992,68.50286220580394,70.25885857526067,65.05993008811296,63.41698034535454,59.86234724759996,62.571705371878025,62.25949543781108,58.26026057871841,54.773451742051456,50.707088690677516,48.48859432352617,44.268512362096835,44.327939535403615,44.547563835735815,45.44928920835982,50.29472750971967,48.787892242069695,53.438811126358914,54.94078879503417,55.43785568555636,56.61787362989526,59.59916054542236,57.80914549628168,59.98333548523978,56.29860040556433,59.399976878332666,57.982854364610766,54.67517283168129,55.929731033885815,53.777005378001,53.51661770397641,52.574229141500254,50.00319710507993,50.378018203322995,46.29892720237912,43.565999599037866,40.58056889722203,37.91065190054523,35.7572687707143,38.2880786723534,36.70365550553299,35.63537885867777,41.46583174812177,41.82732396749752,46.21829929310213,45.973452379895335,51.534364097348096,48.564432695461115,50.77601721209689,52.35894821818331,48.8574678931659,46.45248616477228,43.101728195637044,44.07326983226987,40.01955549389104,42.81987011581261,41.32663585101955,43.55062752712158,45.40707434222658,48.342765617031716,49.55653078368044,45.57015242153638,43.71010863416631,41.011063712955874,42.14288408814388,40.309414950318214,38.209986024708314,42.79523352238326,40.90012287068411,44.88479632415643,47.37741289959334,50.92904924591605,52.595100739216576,55.674271852668454,57.90527342595359,56.40495994223842,55.11329899450666,51.306816127150434,51.749948014481056,50.005623947498115,48.67424948003574,50.183365259159274,53.119176020606716,56.255851251578534,53.09397108272692,51.07605477435936,52.91602653854807,49.189717194107956,47.342479744719206,44.539794506562,43.825536074284116,39.388722768725756,39.24794538763684,34.64636260877401,35.43102819639967,30.13555236842578,32.05676119438113,36.21524218709135,37.685724070155985,40.50398996843215,42.43922009725772,45.37779000529672,48.729527562896365,50.02024151564647,52.13780395864767,55.04040589534316,57.98209247395435,58.12885069565984,60.134843742263214,63.30323179278634,61.099919966691,57.68607693979995,56.645325703923724,54.06318163147679,55.21861427118654,54.38604665922493,53.14628668074935,51.77045472874781,48.83395955152999,52.54045750437092,55.23268225097808,56.21821733181849,57.993882695162725,53.581391377893944,59.21463883021774,62.60600374257032,60.63184094238978,62.8239421584809,61.139298852731415,66.50730606849918,66.11782567267375,67.65854978926684,68.34112205919632,65.22273445643363,65.14068953781661,62.71051885097976,62.29897602854085,62.17950642858048,58.099055730769074,57.446186779401714,54.37086450699293,51.35976561262028,53.24189137525404,50.205268869511464,47.37411898249174,48.971228026663155,49.638812643406126,45.02028023461928,44.48036756247313,46.515858800907026,45.44848599989733,40.43133480071879,41.487827410706565,42.432852604603625,38.49729270428686,36.94018896303665,39.90828614402916,42.09537182999592,44.64646188899819,48.34829773479838,48.567418493548516,50.07825674977695,55.4892171263861,57.390984886915064,60.194014568297796,59.96496068677744,60.17303675829776,62.58942395253337,60.57765919505076,65.33054113602282,64.54709375377283,59.2057302156111,62.07052603915645,66.08266298295595,62.422223159928805,60.691440395319496,64.5541967860878,64.78690469429574,60.59967403518325,60.53444958364172,56.27641739725335,57.63348852354023,59.789597905351485,57.35562323289181,58.05691372913069,58.227516968295355,55.74788421179323,54.04716055466021,53.633804729516996,51.998624438661224,48.82568669903881,48.66644776732814,47.8553959086869,44.83730268988893,43.85852858404268,47.244916386650466,45.07419087880461,40.699444480897405,43.80428484274166,47.11565275472269,48.33843714161237,51.813360728350055,52.387118454113626,56.489390910654606,54.25240945199384,50.40650767517093,54.985453640661255,56.306083322619656,53.21027676118243,53.6846320474315,59.23830746932833,57.61212102951719,53.52937967389627,56.99962882175227,60.95648025626804,58.637030331768266,55.348473897372706,50.74007455222357,54.06414754979697,49.85515292769907,48.72451093572452,44.399825438849064,44.49063112607706,40.00495357123061,40.79853070602162,43.97686185575287,47.25116707854886,48.739638175750464,49.85043958985075,46.11717987212396,48.73982138020634,45.298882026970574,40.586328846471126,41.577109754670495,39.70137488947665,37.91371752518844,38.08901812010674,35.83498706742364,32.86162196156027,33.733190543724604,29.991370862977348,27.74388965466546,26.691979393704788,27.944265531099962,26.88729518083602,27.236363341064358],[28.290910572311397,30.328361446658835,32.86546917906981,32.42293886252487,36.68537663862171,30.680513891716995,31.932526575002914,31.31110959104612,28.094920874674163,30.734990222943917,29.307867785471995,29.54621072062076,34.24893875014006,32.23561153365632,33.92874571892087,36.570837407964454,38.70619675554215,41.75649919649799,45.396200129032856,48.21276246321112,51.3940697983066,55.68620714124642,56.64245695720616,57.31275603931994,54.906191620292574,50.54828007930145,49.1818131315493,44.9689520136041,43.36877684454628,41.356037285659994,40.16360813113366,40.103262241946915,40.33035199898411,44.478426450000725,45.14393186293644,45.5914664669863,45.411068655503975,48.87740327482483,50.5025926641337,56.29736342789941,54.587469077720684,53.77973073886874,57.93714867826319,59.25736991022843,60.404410281168104,60.69517476857788,64.25706045512992,63.713961903896134,61.21312732823675,66.44190006367643,67.0797078371878,64.47397375026341,65.21644647155507,60.38046016679482,64.15563456769327,65.95938104877135,62.02975319811774,60.88723505553224,64.85928541951584,66.42596112592011,61.1685491951421,59.613632722286255,56.12120525281931,58.652733418651934,58.26667118585704,54.32580931325865,50.66716769474291,46.6858768007542,44.270482737144405,40.12185633948204,40.03420574856011,40.249390958000404,41.338366464572914,46.18392960822968,44.870628584423066,49.70734186483421,51.174107935325324,51.91340509067985,53.055911153520334,55.99084435912945,54.35488864619684,56.463636132144934,52.99164699338218,56.01796454190567,54.39360677978581,51.11458495551075,52.2231475311981,50.32064677032121,49.803253350053375,49.14926047407407,46.39021051876619,46.832771128913265,42.75607358440342,40.14858268427888,36.986059907510715,34.36759430628325,32.00821832567611,34.94247335540346,33.42719926722467,32.89929268585775,38.418997863856845,39.066939207623754,43.14874855125562,43.07037052095927,48.584938781528315,45.55133216019467,48.03675736674921,49.49581746005988,45.97705227677092,43.627911955448454,40.09579174768708,40.73389396542041,36.50598484198807,39.049241319481006,37.340373333852455,39.417824134439,41.20707208716554,44.0332232499058,45.19177689646301,41.3083535788439,39.34777952248623,36.7143554853858,37.82069553795426,36.13352455332561,34.23498097995325,38.966009640523616,37.484906170653325,41.4291153439103,44.105993296819506,47.7144007778854,49.35840801338203,52.629484300113795,54.625921786762966,53.22449644586538,51.653002546302325,47.718457712906044,48.16572679443739,46.146085357210055,44.63043455378291,46.18181195279752,48.90038765883338,51.997424329503815,48.861419113294836,46.95003277535183,48.87876814097409,45.24682344875211,43.38560905835811,40.7676021875098,40.27096804145169,35.88243939821143,36.14592362217182,31.587610802159865,32.88847474944126,27.846622033478774,29.45177423021695,33.45070891093831,34.52363573548121,37.483401176728904,39.09208843289973,42.12286506938587,45.15083024289291,46.32094371161958,48.24700632210282,51.24942527191419,54.15611654000483,54.159595509508854,56.34998600222441,59.44104644469955,57.34057320285556,53.822359195074085,52.90678288454941,50.236439976383465,51.53381598826783,50.81772373052556,49.65577774842174,48.5117456369907,45.45380348001975,49.43677668484615,51.87003398393039,53.001267316137856,54.540643750753304,50.30896461852525,55.9315315487805,59.25119482361299,57.120741654612054,59.177283515460374,57.360423007591535,62.71247688201272,62.1345072626361,63.84607372681452,64.5780277890767,61.557371890950385,61.571000468996864,59.22951067793828,58.942692343760385,58.93752015441951,54.80675658827668,54.401281600429606,51.45587243033043,48.519044343205536,50.72439991207446,47.79796066793917,44.7419304863211,46.472195327809864,47.478396597364764,42.817792286830155,42.03229496227998,44.442101030490576,43.72082105184108,38.44493506933212,39.60457439325038,40.93297090911496,36.9845382419911,35.209604831111385,38.512877388326125,40.40121096266129,43.39915737993746,46.55568542144491,46.76861873307706,48.60438770607317,53.96390269853066,56.2227215098244,58.80077401116154,58.53298401917712,58.471472889623165,60.839318992663884,58.627216937620766,63.30523149952414,62.583577839373945,57.01878839070596,59.764678150309315,63.75699833383538,60.04271049302543,58.136577244018916,61.87828150113743,62.14137633896088,57.92460488058003,57.571220356415786,53.56229221420878,54.90313593451873,57.257891852903086,55.123616807284115,55.869808394994756,56.38512590977025,53.677739131574576,51.80997627927945,51.83924647433043,50.26828582327682,46.790893193148904,46.799363993494,46.37906487306208,43.37783447417128,42.23417861863769,45.96785516290978,44.06599292227589,39.557521093133815,42.66257781674843,46.17928522879141,47.10814266343229,50.502225751649036,50.76325989721579,54.89376900420235,52.83973003119061,48.644119361743165,53.07133540871766,54.5245005945648,51.38295402178222,51.47999804006193,57.175939085482234,55.64805565076086,51.30090068353169,54.555043057599406,58.710768571489055,56.45149334100202,52.99519040522165,48.31163180739779,51.73668688070039,47.433033374099026,46.675306859441356,42.06937636453641,42.18906381323822,37.61467176019865,38.17550974469738,41.240391810690745,44.49389957192904,45.84371313822488,47.15120443096184,43.18385165387613,45.77087073174596,42.11494341409552,37.775012761241456,38.969171664715944,37.44738033437046,35.35490833911018,35.26488257531373,33.36899419273007,30.525868951673115,30.762037739667278,27.331276558363626,25.40274074773667,24.28309649254635,25.64055222377345,24.826183138611935,25.509875802072706],[27.641702714688925,29.424961979236055,31.43530189902257,31.224938119128314,34.63569188406274,28.352080674501217,29.201581905956896,27.778420903616208,24.81410467017907,27.633500893713396,25.880972000882473,25.36456259000971,30.554572604354796,29.214159027223417,30.352012614803222,32.697976044941235,35.378815552835064,38.42193903094574,42.54418035265447,44.918683990400325,48.33024580495443,52.421076921204055,53.714659854137054,54.65841802642315,52.029166921036,47.819620523521046,46.1546750210726,41.90161440891182,39.84303522884511,37.37545144201467,36.180900070883006,35.59099661553216,35.565255064660626,39.85951759939532,40.649167903804745,41.526602156687375,41.04203974273663,45.03684002538959,46.87270713718824,52.38910715129235,51.2463765715708,50.406609105549634,54.396054521867136,55.99847766896427,57.48572363424828,57.88616472423399,61.51165123473474,60.62830436152435,57.998889220500125,63.27069141771978,63.57182427221938,60.82843167261013,61.37040947079963,56.54647086138866,59.948419989908075,61.938984737097606,58.14497194885546,56.6947994874922,60.625249012588455,62.53345952860467,57.4016811491949,55.72637366523749,52.15928387739843,55.086022483971284,54.766181467519154,50.67623953748223,47.49225361320043,43.29487805226332,41.455119989808345,37.13663818951151,37.52571370596659,38.024250361791964,38.48878010515029,43.28091746652414,41.38118001311162,45.9825572591834,47.28597102588603,47.66179813618469,48.74848385440024,51.71436866246984,49.832452935137894,52.084469378616994,48.35902749143784,51.5858699232062,50.313773701868456,46.87944567531168,48.13676024842531,45.81359950800764,45.7096525443599,44.64659817240298,42.23897842096552,42.78192778766574,38.65970738198163,35.772432959656314,32.78044043851618,30.213082726997758,28.095468710515362,30.297891504824484,28.70256833149052,27.610814408571215,33.44086770996304,34.0226141434162,38.337654593032745,38.40254280602266,44.080500403680325,41.42153073497543,43.847501313278045,45.69599495114558,42.48131872657788,39.73935056827936,36.649510619565234,37.23921864779229,33.18874543696022,36.05658840595334,34.38289264534902,36.92810388895554,38.55658829274858,41.823578936999766,42.84909359250613,38.59591456072306,37.07070635903585,34.331271008498796,35.93077468031005,33.98109788186722,31.85207013377695,36.51213899797121,34.764695971886596,38.48542611781237,40.99404509152884,44.185755220177484,46.383697997306705,49.32521994314415,51.39363637400572,49.53218998678903,48.50206461976062,44.67685443592471,45.68662856016161,43.8028734736245,42.564143907596495,43.62404568455747,46.85033461787213,49.710751731895655,46.309841630908544,44.240820706699225,45.79773680590341,41.86692140400944,40.211706305306926,37.21975875388856,36.53142778704314,32.139759690089996,32.03911707160629,27.26207106872675,28.006865572150662,22.73471759593169,24.22624046496409,28.398679306702682,29.90956203695239,32.907619261048616,34.725617037291485,37.984001869757584,41.508236749401284,42.541604987386066,45.06751419468326,47.68289275478307,50.926384571956625,51.48351217456893,53.469842205220466,56.856694246170406,54.887046668703995,51.47631640018362,50.245328486675014,47.449590266493935,48.21159852306319,47.12240144527873,45.644466675882875,44.13601789163825,41.07079189822376,44.6748725114424,47.49247683372941,48.55013846161923,50.55508404131983,46.30900349173228,52.04348687674864,55.48424065328038,53.54633355042382,55.492991490283785,53.730191414078135,59.17380871165834,59.09319918464996,60.60241007805041,61.46124094697522,58.276049222912036,58.4573119226642,56.171531328289795,55.915758913022586,56.10493659734584,52.19882672074724,51.589506508110134,48.867363796838255,45.53187815523118,47.7967712445609,44.50593332125743,41.6925016351022,43.924799872563256,44.63941019245538,39.87053641944984,39.86619067578905,42.16826070617495,40.87007096645459,36.004910803819946,37.64079838769207,38.77180537158751,34.51848916166399,33.46028969055293,37.05317744332263,39.03728231389285,41.78664536713921,45.44053972760719,45.09122194740115,46.74482073095994,52.011110118005426,54.399189912664426,56.71779055810016,55.93500101152301,55.72165017977188,57.797150574102204,55.33201717762401,60.11974800431385,59.77965333033032,54.25207959113088,56.72133406770248,61.03088935977401,57.6200218450568,55.522838679754045,59.17375445514081,59.95318520966293,55.87076551613578,55.14540383077134,51.07458909093983,51.76611462518936,54.02271766617115,51.784455014057436,52.11494156412791,52.43013651290865,49.54316222972945,48.09350163654343,48.114121527227525,46.13305632147371,42.86236582113477,43.28832513836363,42.5977448901565,39.49433861888322,38.84237837707307,42.631762404668045,40.536569890134444,36.238332318073,39.80851259164056,43.26646126917582,44.38607391173825,47.501875385670445,47.55871861473952,51.83442141899757,50.18665520805289,46.06441176313042,50.308332672456366,52.16451485827482,49.24551032661805,49.215594384275946,54.96021733279364,53.92349680029421,49.63664684280181,52.64500425570888,56.99912980017238,55.16839914893642,51.78020315056717,47.202216252718,51.087059478974155,47.043073773545,46.06541074994263,41.367387538813,40.81801273856747,36.06404602248541,37.31131181406334,40.14409933873373,43.65032606356128,44.608391937177366,45.37655300765379,41.094653938703615,43.207670958348636,39.518015217651886,35.3668807145624,35.85038934459506,34.22676945048474,31.622301756235625,32.21850803949232,30.71878099503562,27.308278500363866,27.60717599477067,25.035313599258448,22.37463888563347,20.547131883948936,21.371682753215904,20.27373503369401,20.977551256606745],[26.91085840353793,28.259895522468145,30.234835519810137,29.121605677215978,32.33248458947116,26.009517977042965,26.379120596381245,25.096841542171457,21.635885298248155,23.982600701133773,22.065223639900417,21.924350436666106,26.8907285957822,25.196901892421238,26.342550629477774,28.86928998636422,31.414646684275176,34.336982875671744,38.30904048609198,40.839906190463836,44.14416451412807,48.31787705358246,49.49577301861111,50.41959486841918,47.8902462042972,43.637967372315366,42.13022442223212,37.91643039318881,35.93508588566157,33.69406983085723,32.29913680793446,32.11913571868692,32.1995794165462,36.36903206863913,37.10816981902291,37.750666653444334,37.559233137508926,41.28636054574827,43.129265047258336,48.80254406784226,47.43785144983148,46.44422814042462,50.47880624882828,52.055695879073944,53.45900596707878,53.942404736229804,57.5366412005423,56.674554038705395,54.195327258047776,59.50086981431913,59.8593159396761,57.15706129805095,57.69489653586378,52.891420977164906,56.41703716148008,58.236970392315094,54.36563020747944,53.04501545404839,56.95816652884756,58.694590475968226,53.47605912232262,51.81127686473275,48.27157202559982,51.02133154952545,50.69064451428197,46.66900064205772,43.28814440067844,39.1595145956129,37.145374919949845,32.8556799470596,33.14305860925512,33.59333020340534,34.1774515926612,38.989301640969956,37.26842268660865,42.006221450529246,43.35446060271205,43.937356220699236,45.055567715803,48.032063474377516,46.36806097361235,48.63848019078789,45.17729020074099,48.40066347252311,46.93554845098707,43.45500938541193,44.47292199448989,42.36516112184778,41.92879981683265,41.07577663281927,38.440620794886755,38.9754439786147,34.85857464369107,32.1203582732665,28.99961980868194,26.408450795217732,24.146248584647633,26.849320387161395,25.443805841122312,25.061398819725483,30.505556256530507,31.59419818518256,35.493934963468845,35.91468468566015,41.57077610543298,38.956520899403706,41.74305359157762,43.519761876843766,40.37072713873226,37.620911409829546,34.41164646526273,34.4954043442313,30.236412919378118,32.77661523798413,30.72167371094536,33.16436509755941,34.59082693335786,37.80616136198078,38.617765656563215,34.41151068367132,32.85779441343167,30.236780928031536,31.988492889612598,30.24448191001591,28.4133235759367,33.293181088950604,32.12682287859217,35.712530612124084,38.43972197985568,41.596126055929965,43.889296550550284,47.008333241240166,48.766789027401494,46.93336709888754,45.64465001724291,41.664103105847964,42.811200283121906,40.5498329876715,39.0828808408283,40.08215429193323,43.07059570589517,45.78902401879366,42.338902917646244,40.42444880945128,42.011769503955335,38.12468706319403,36.53398585698637,33.729154326536836,33.355539348010005,29.048355814268852,29.482393176825887,24.71375793256645,26.053470932749704,21.14897947023607,22.01864325232954,25.985875008051824,27.021910771861123,30.287080624143922,31.62947538417781,35.15251207454743,38.32863189004385,39.09240410159286,41.51998739856396,44.167229700556284,47.47900179928884,47.96432774938527,50.18950890154174,53.52804293294378,51.74357506408406,48.20469054703751,47.09266740565217,44.13206902183947,44.96547633193584,43.94047660517867,42.46977618841141,41.192134475837,37.90685827506873,41.79669476046648,44.368992703591466,45.639472940457956,47.45334155389092,43.48845759342784,49.23566826085306,52.60362653834124,50.49193279577299,52.188757111889956,50.217295796083434,55.67569703896275,55.442853648295646,57.176136132667466,58.14918680232801,55.070145566711815,55.437360506741626,53.29433426374346,53.2217017341779,53.60500111403249,49.68348764609339,49.364391020049574,46.86142798791738,43.56582694477952,46.23457413549802,43.03515809833149,40.006203514851315,42.47536157558804,43.54473352012314,38.751253205199696,38.57295910454369,41.27984162449975,40.31171085535039,35.267983230892774,37.06393792585658,38.58215588355596,34.34035458826993,33.14532328220659,37.07369603906384,38.716812263289405,41.88539923264145,44.96274519928227,44.555804957337486,46.52620294854375,51.68364465461024,54.437744723063105,56.48227452428174,55.60756354671927,55.08332939627452,57.05238930078918,54.33674460783383,59.03142985485473,58.819546205511145,53.071710480211316,55.346480109116804,59.66110501851039,56.24626229805409,53.925040603332796,57.39826462349447,58.28546784848531,54.20581355432731,53.07750466332984,49.32480237090151,49.88190923925837,52.357119597625754,50.47279585247019,50.77616648362432,51.45550513021934,48.27887997803741,46.724962033742244,47.26886599476285,45.296437743149674,41.734161768270276,42.43822571535073,42.15619638146917,39.087203874279695,38.34049734279009,42.4843818766843,40.675393322695605,36.32381256739642,39.909017813704644,43.53496677607968,44.35515692903303,47.3175977489813,47.000222126763404,51.295619765556815,49.9148998984587,45.45255092982895,49.46640135414232,51.510913914232404,48.58946493533523,48.11676187492786,53.99176238237449,53.126817371033766,48.5803399308948,51.28975255176329,55.86832582045254,54.16095002859924,50.613296248227954,45.99609665251092,50.006154935322044,45.91155471794231,45.343798410617374,40.3726749568697,39.792602441849404,34.97091147655948,36.007221805893884,38.641933754013934,42.117886733375116,42.85216082613956,43.78510620907609,39.1983868385456,41.168662446706065,37.20761899821959,33.62732462095097,34.23339001769879,33.06107149143502,29.97739755225957,30.366970652911277,29.445239035690236,26.152923569928994,25.57984197788323,23.687996768605505,21.372988811567506,19.332216359230664,20.126662038738814,19.32745332697658,20.461332317913122],[25.703446567859363,26.861139697238894,28.302158520490483,27.69489411277493,30.119132470965734,23.719148977215365,23.90790832461312,21.87556726277202,18.981305243069208,21.76508257195574,19.80054545006508,18.76853231291675,24.19288486531491,23.40397402451494,24.223406748484013,26.29675008769649,29.25405672465257,32.362894291426656,36.81410729387637,38.82044344873259,42.42019671048247,46.3276174821833,47.871359220917114,48.94388638126326,46.12000367864948,42.04973296956446,40.13219192177693,35.87261431023487,33.55503882903417,30.823239590384027,29.875597241426668,28.876484259516463,28.946026154290312,33.3830100327189,34.013125644676364,35.02576093041119,34.30780984289762,38.52527975987551,40.438338459912806,45.78435515827063,44.95618823062083,44.156512761560286,48.04190120562861,49.7676986697158,51.45965485277217,51.904826453914794,55.56031104165001,54.47858532478411,51.759054400810996,57.043371882638134,57.1519713639309,54.333787294399826,54.795776172270195,49.9755442400008,53.229081736379754,55.33041763624734,51.61413834480823,50.05483108358692,54.010807026106704,56.054302058998374,51.03301615206684,49.434919304422046,45.912660690201925,49.07678253000052,48.65102200240866,44.44546812122562,41.65508709643019,37.33269032677206,35.93220183860374,31.57632989939434,32.32210717263215,33.248166747791146,33.24908604739977,37.91388432796418,35.56500116607253,40.18708671890483,41.12198282210538,41.43510354042534,42.29913407281783,45.158259787811325,43.09327028599568,45.313947465974174,41.497727365350734,44.77415101057922,43.63447872378709,40.14573227374654,41.51462802563227,39.05883721169371,39.22118988823119,38.166166084311925,35.99063511105285,36.87492020971237,32.70409216222801,29.607860627275638,26.490134352007136,24.20473312675067,21.99236434697265,23.670284061320288,21.897297009343983,20.71461500482287,26.536236646962454,27.186237968101686,31.45692124616373,31.70722418353485,37.45443741039518,35.05748195213577,37.645826819482295,39.71264264535831,36.78149553904089,33.75887908477249,30.953851151007367,31.213890765051868,27.249607417036223,30.21451151693519,28.500144501088684,31.374123023997967,32.84933486529261,36.424992443275045,37.408006492500235,32.92609421185927,31.749835301736898,28.930775663870353,30.90319400134507,28.77706733726973,26.557797105975506,31.139666827482,29.460698376170868,32.8727036588356,35.33863831793544,38.165877637209135,40.82546650521033,43.59932357750748,45.53384707432186,43.363755575511355,42.60148793372096,38.81472313790943,40.33103274235461,38.41563509292461,37.34937840064298,37.96681794369856,41.52765757919842,44.16308308864493,40.59108776220816,38.41808113968737,39.696618849168516,35.599198414694726,34.09543174882991,30.890163624103188,30.14869596623821,25.82266066321868,25.69025474832578,20.79656410897669,21.506519563348046,16.364482869055255,17.422896247199667,21.566008954355645,23.111677008799212,26.21377852508365,27.98682680708479,31.449705746028172,35.15907162038259,36.0366348704077,38.924894621505125,41.27484402626082,44.73863296438783,45.68024419037771,47.57063771476547,51.148890726869006,49.36287432785166,46.009778061276826,44.58136011258677,41.64600259902517,42.02766981346457,40.709171907334145,39.043691915898485,37.4049937337226,34.29445953621477,37.801799955362405,40.714475388107196,41.786933497311836,43.97738486332868,39.838164774507945,45.63273145672572,49.109729645696014,47.23322118362474,49.024126738314,47.261324870645836,52.74616798727964,52.95540772358771,54.366057530247794,55.341463665325826,52.08867958449536,52.46104309207258,50.291478571077604,50.15199864513569,50.59460165681517,46.88057416473413,46.28593376535251,43.90123351963561,40.30104507493134,42.878587959644484,39.39735525991081,36.63843061454355,39.42593367272767,40.172939786707694,35.347502679407214,35.84951997807283,38.34769756723086,36.87857037070403,32.26468151982811,34.401826926619826,35.684547732562834,31.269810458674744,30.712843358459992,34.76109694613205,36.49223445959916,39.35433717948347,42.86935930523055,42.01196292047866,43.767115472583406,48.81386879922241,51.60343758402196,53.462743861407105,52.20792291705088,51.61411634985331,53.37257357170639,50.52886071679379,55.30200418770827,55.34557260164625,49.70379262416346,51.80206358111256,56.333886063664394,53.171262754052826,50.77306380874371,54.20909270210455,55.46349747995839,51.51496432528081,50.22505430864713,46.345090354704915,46.43431075497528,48.759596836868646,46.717824773587196,46.726664771768505,47.192278979925725,43.96176103422458,42.72719223115202,43.16212199539033,40.9135973256787,37.55910605592106,38.517367043539984,37.99064471345395,34.87050866789356,34.50367794573563,38.617859694889255,36.673653280238675,32.531069885807476,36.42309548975805,39.954764621473934,40.925864447830335,43.6616616996411,43.233959712324214,47.604681820029974,46.50846427805121,42.184971279636365,46.05905245645726,48.36908087570613,45.648455257928596,45.161510470173226,51.00246647742166,50.500828859821354,46.098340624328515,48.652258522141246,53.30098956042979,51.928792782147575,48.509549191674544,44.04379268805198,48.366547043126005,44.55732139003068,43.71586687857601,38.80181340431012,37.66397051873267,32.791896624400486,34.455891800463895,36.88810795598959,40.53635412031453,40.98660366298178,41.397536872983096,36.69536108760799,38.29096204505719,34.44440024788728,30.891641242075867,30.85384082000679,29.516219351966257,26.16291232134482,27.17171507928707,26.473864629514875,22.745165000691117,22.439860967204915,21.233339422355428,18.281826764005533,15.697408011997231,15.983261654372415,14.967142834787696,16.1439164730406],[26.789628275555792,27.430788891635594,28.70190820486871,27.15058066000445,29.0825952780478,22.74101037079722,22.153483313034894,20.058029889320956,16.617437500320644,18.6478596367359,16.231205931951013,15.379556536802763,20.692473672762368,19.664080940876634,20.132213365267848,22.362269484967392,25.40290120725381,28.261390493942216,32.66416299003119,34.74500058013394,38.244733991115474,42.209493925246754,43.68916729453265,44.84906268996788,42.12827202912991,38.05387953735181,36.29161367602328,32.0924167326731,29.684131542467124,27.095642191436987,25.71453442058171,25.14801637277099,25.15411965673847,29.445326300835955,30.153655212129685,31.05048328268232,30.67972452736644,34.75416009185935,36.79060183922406,42.24877263713853,41.32757976933064,40.25496284113796,44.13192459908096,45.9482597125206,47.64259341441041,48.2637794814101,51.88373109226484,50.704292212385724,48.17793517942011,53.51645827879604,53.58624846004099,50.78094314944309,51.147185682348834,46.36286712013144,49.624941782181295,51.54026285957188,47.75612023703955,46.23629962475271,50.13142240224036,52.07683679160269,46.96049289640046,45.26716727377001,41.719761226522316,44.774171571911765,44.42103213215519,40.27671833888491,37.348094528830174,33.04810003983949,31.612366689264622,27.22740968124977,28.015598412981383,28.89158948398928,28.812076558023424,33.48429364108444,31.191978392851293,35.8395555776768,36.881281336825595,37.28906362944207,38.25754173426373,41.20043031401288,39.383337836111046,41.746798694238464,38.21033514593345,41.596668321647506,40.343254145364874,36.70140466725539,37.748171444250104,35.39199021961978,35.209534699963825,34.18992874195669,31.810258720584542,32.61502372286044,28.444937350451546,25.46438795722009,22.31591895919835,19.928528108959686,17.713488871496757,19.830764017937877,18.396802835389135,18.043727950406417,23.42742624012533,24.862122527733597,28.61293446708672,29.475019736462865,35.23020265495825,33.07359126360901,36.08225999526096,38.178952856277725,35.46052657157388,32.33339530988195,29.57420882866075,29.143792834614246,25.015276294182343,27.59535644649596,25.340793646246848,28.212078359822176,29.29448651172769,32.92643865257462,33.49650436097183,28.964397807059786,27.933285118459352,25.30401822143868,27.682362875791558,25.81037527594122,23.989766914265065,28.782281964014935,27.827937270868954,30.936405793220718,33.599768876556084,36.2142856406544,39.14464283912594,42.01501158667589,43.57331887089563,41.30450601647729,40.391873168187466,36.464202674684365,38.315572012536244,35.960974834271596,34.67320309576705,35.05049557780148,38.40477108608522,40.74666218487178,37.02459787084103,35.04457540766178,36.224006309791584,32.081699696932844,30.775530667061016,27.715828879333458,27.372925152922168,23.21785454156228,23.70550190251778,18.809595491560852,20.081642043966514,15.536857128012773,15.456828716319716,19.320593963892133,20.3698734181555,23.889017785390468,25.0265425750316,28.98575310711191,32.384185506667905,32.79541527991483,35.77744311297061,38.01117841656281,41.69049663497102,42.71272068406253,44.85924206738733,48.4436247361239,46.94393787994094,43.47212920704045,42.12130044060323,38.94537106874905,39.24312217915992,37.88024647773328,36.0975599769018,34.63088337016441,31.194410882812413,34.91557905536525,37.662621251237645,39.00880364747885,41.12950954982381,37.39274908756761,43.21936502318177,46.63080583852765,44.598666103814324,46.00100549460577,43.9630600928086,49.49624204213782,49.665211313092406,51.319617433749265,52.49086236967499,49.33600971805115,50.00198778620344,48.04299233467088,48.14765757386521,48.87836525665154,45.22098084423211,44.92694558883875,42.87760138030515,39.26101255736886,42.28895135203289,38.858889695225926,35.95745782515203,39.09703295321934,40.15361166264081,35.3533406337187,35.83320210095159,38.69814824483322,37.47502348177406,32.8571583890014,35.20441972902418,36.81212513226792,32.448277840683474,31.89593379003109,36.22064370574345,37.60633492170451,40.78246684976882,43.765429523712754,42.77581571854432,44.788629461366426,49.65324552380276,52.784906604750624,54.32167233147955,52.89335334048464,51.96158175161262,53.53056440362054,50.38971381800781,55.052161572242,55.318476277479,49.501290959094966,51.305669371759926,55.88217215734119,52.806239471607256,50.142177753733456,53.336959814809546,54.81266846228213,50.92384397694994,49.113517980479486,45.613350209828525,45.38778475968161,47.917179819467414,46.26095657249748,46.12486153510894,46.92656982368664,43.355078285940294,42.143357948237245,43.14514712898798,40.814394352334645,37.249510996627656,38.61848398897942,38.45948161010837,35.402845752669926,35.07632774893503,39.489950517609344,37.81566117374701,33.759193192088446,37.684643934440416,41.303140164601444,42.01045588597873,44.498215665271225,43.651584487370805,48.024702374490175,47.29683750019214,42.70128072726136,46.249920843106246,48.812965344780885,46.16321375279355,45.198977298805076,51.125641673553524,50.89600587244042,46.28358321561035,48.45106833226071,53.32995234162523,52.16895243922952,48.62912328066893,44.18953231309431,48.65875235494572,44.87613470411239,44.42827102857395,39.29938648276838,38.047751558064896,33.16879032283211,34.686842507670995,36.82622292549504,40.42559590732814,40.56170774423496,41.04917009433159,36.00628711893195,37.30065876183605,33.17549550192204,30.419641618466393,30.339841540283082,29.525359027584585,25.533136883676736,26.484762380693187,26.59554702530612,22.986972373282107,21.648684111948565,21.57151999866156,18.99698318907588,16.119971282923323,16.14867434478729,15.501618428772932,17.06906692806547],[26.327523152884254,26.95472478151992,27.894466647605654,26.921855330062094,28.40498340217905,22.091062810173284,21.547087364011904,18.90990981289848,16.11278516837177,18.600742967234975,16.30553306823017,14.654740611890647,20.297905572765476,20.061361354144275,20.336467186321983,22.13314743408485,25.442098177666363,28.460551315062336,33.17886695334123,34.84867331094326,38.557949782979705,42.298723527748706,44.04273697252035,45.280495535609276,42.34776593110612,38.425182479501935,36.34950837227811,32.13521609130872,29.516498316067977,26.53920432637534,25.60420985897944,24.2985004854353,24.296874985764603,28.80507089141145,29.418582485952115,30.627276109604985,29.779277965647836,34.245270965652445,36.29841894540337,41.47222614700339,40.9647234443936,40.09541487337563,43.850297805889404,45.74641096936719,47.637999227290976,48.18945625693876,51.84695191815629,50.54176849219194,47.809952508482354,53.10573003877816,53.008997050430544,50.1265156985796,50.45840315605195,45.665413934366995,48.71887563095201,50.87416299926659,47.223569528212195,45.52415774005299,49.45282094123855,51.63653328572173,46.69592201848824,45.07142252842592,41.55341630645751,44.91522633117787,44.485659553838374,40.216582472785184,37.75708823509316,33.34602497205553,32.37293691806806,28.000409588341043,29.093081547240256,30.291110708709088,29.82621511752571,34.338555198894774,31.608836570467638,36.120911577742966,36.84072366392353,37.02008473535718,37.780845690750795,40.61334060853752,38.4509741884478,40.747671737147996,36.88772372898379,40.29014554085698,39.30935178341599,35.700858456198816,37.07554165748378,34.43786187862498,34.78279274348827,33.59748979985122,31.623873649504063,32.69107942527004,28.518337853521285,25.26543888274086,22.174245430006245,20.08639089054812,17.97132414315577,19.090284700570702,17.28483523819828,16.03398697143678,21.84836031804635,22.766245440481857,26.929286054575844,27.53550380223293,33.362091315895114,31.327691375050854,34.089413353878406,36.39487953128484,33.80215099800192,30.50343214280675,28.058190944603524,27.909695127884863,24.076507971028065,27.036412597882144,25.18247341539532,28.336295503081065,29.532569972509286,33.3690327050456,34.14985187964659,29.483671571401274,28.700133255390867,25.92556772375932,28.32454872564844,26.151173534763682,23.98810639395619,28.452127302910363,26.973888462467034,29.99204156485526,32.40126061822977,34.807439948512716,37.93297865075335,40.52250586434279,42.2873281564212,39.80248219218116,39.30931093083309,35.57029641843472,37.5993388979487,35.60389149835124,34.65772290852879,34.82202652151206,38.600409735333116,40.93956085504,37.192787452673386,34.9994826364316,35.97241158195238,31.711959740294418,30.436648568132377,27.06629595052792,26.35554307879706,22.18269719719868,22.080044382993574,17.107757320599074,17.71118102601508,12.854179224775736,13.089824474420132,17.18801651328748,18.79259213716675,22.08673820925208,23.704844339929192,27.503994249624252,31.366693348718822,31.962484125711054,35.25180400576877,37.28255190101254,41.01003984227778,42.33281043625501,44.17629172784654,47.912693654651584,46.34977019907743,43.04951538945806,41.46702257457489,38.37918427617358,38.37048916027846,36.80583053851142,34.90729965480455,33.13023347184424,29.903184357031396,33.269796164061454,36.314389782123854,37.45059100321703,39.86672349708397,35.923604235139244,41.766293060618054,45.26566781469722,43.44382026627382,44.99709590183961,43.17736537012029,48.70301785894219,49.19205712694006,50.56081494879956,51.68582505637597,48.394592891417474,48.9951847253457,46.97487141723755,46.97821722987216,47.681907835566605,44.16373727545954,43.60857890703325,41.573131525399845,37.76086277181829,40.60991607845114,36.98085485918859,34.31981265845339,37.58971489740529,38.34428023817165,33.543348328040196,34.503254515583365,37.120024304515375,35.5011558931791,31.22303709476749,33.73680853990898,35.09661942083161,30.64333653752204,30.531694568649225,34.827863760533056,36.33895084208966,39.212623619243935,42.58767591240554,41.33885697387363,43.13511818757968,47.944287272738116,51.004666309943765,52.49069719999071,50.85198223502572,49.954695023605524,51.418621220430154,48.265338713419744,52.99759079972347,53.38809024626806,47.70050262077354,49.445031853724466,54.14913364036424,51.233662598986506,48.587622154368766,51.805355459263986,53.47311029977257,49.67089361085649,47.88047560243051,44.2164274098733,43.73628442091084,46.10692014525703,44.25617290778208,43.94168616765918,44.512265355688584,40.982058991425674,40.00280438078444,40.797944707255134,38.28839107507348,34.93317967330995,36.3969589047121,35.98126797918284,32.886987383501136,32.83387783788711,37.1362023232786,35.31579636836624,31.421223650074644,35.52673287177721,39.036725240939894,39.9032845133671,42.276862463175895,41.450043684685234,45.85959305173853,45.24703380963287,40.83068555887284,44.34113932592556,47.018151006953474,44.49908794895959,43.64138239530821,49.500573847982864,49.451279844511426,45.005559818991316,47.151457071546446,52.00212285441423,51.01594600479503,47.604763173909106,43.28119302775494,47.8935870109862,44.307271292567876,43.59010622453931,38.58782681794733,37.009595217692876,32.14433594925718,34.09420093780926,36.151857752271646,39.84689993273418,39.872218203355516,39.98991875473206,34.98109000883402,36.07442377145901,32.1211165255604,29.23310786778408,28.695846429183348,27.657198881203193,23.620106530397525,25.050410460352023,25.158324366835828,21.257484544246527,20.344144010016983,20.556481403263014,17.517171073442547,14.354615231293044,13.99138719381038,13.166451946604907,14.667519458140866],[29.74422144757244,30.39422353084598,31.10713235176475,30.414610085129524,31.46155838046652,25.26997742958954,24.484649069043463,21.365945249164973,18.938529249788168,21.1480473531796,18.528410084023758,16.238872553640135,21.991310855684205,22.22841957381595,21.644978882946297,23.15901622183821,26.984453881407713,29.62052931033622,34.52968579109986,35.88993649396358,39.585997623666685,43.157469965204534,45.068034868401156,46.60092249765875,43.67067539458423,39.91952344526463,37.81484879337158,33.72541341929387,30.698219789583472,27.430854152873152,25.984207507889984,24.45381766317616,23.772354729578,28.191959657576284,29.2706304061156,31.00867659733262,30.1144959245316,35.0415642241566,37.37250737401107,42.23423114615978,42.23207877608639,41.13465378349569,44.65491865820509,46.86402667404608,48.993615236058474,49.739952463577445,53.37280514251654,51.7715046610454,49.10690904593196,54.40790113086257,53.99599740402229,51.022271527206065,51.071610790782486,46.38780064255036,48.97395626915905,51.1662365146774,47.65466223943096,45.63602847653924,49.3824136386131,51.87049715595727,47.01687447590157,45.08051307835482,41.434133520645965,45.039978483450845,44.88973964167333,40.631607047821895,38.47319649848806,33.99977804751691,33.48484716984991,29.056652446233723,30.487754075027098,31.55900074840929,30.597571313417482,34.989487680857955,31.934576484796636,35.89543588384994,36.81458677168272,36.489283390720075,37.464049257108705,40.47536855063888,38.285908575273915,40.90963796373076,36.9465393767391,40.64848914111584,40.057001479469754,36.23598063658695,37.517141702992106,34.41181895714791,34.96358039282631,33.08706984665181,31.3967095854379,32.1627089538728,28.08767502543238,24.726295164387334,22.256954240635565,19.98159072005126,18.6693644119638,19.02300712171997,17.58114354063039,15.667834475769395,21.7363707884286,22.88861955439426,27.14709878118557,28.157790154142003,34.061801188080146,32.5646835213448,35.210630857932564,37.87460654909909,35.6364481515747,32.05510568787553,30.12643132670271,29.89960927596194,26.365417084628334,29.382920896355277,27.455286697993618,30.801325069718395,31.657283298852438,35.676037155935525,36.054193548925845,31.253721815387085,30.871795527585483,28.285795737902532,31.07440648410494,28.962034330675554,26.887752299715885,31.177019758043844,29.66033855015785,32.38259997122982,34.600670594100805,36.567747639976744,40.09590907764224,42.36534681865126,44.13862716219869,41.28752961103546,41.25909689895158,37.67069512959782,40.09807772950704,38.16827965261909,37.35125662464227,37.14574005696544,41.0610684950071,43.082693580544586,39.1672501610275,37.029967321583925,37.65400562943568,33.22449247627693,32.27317266789686,28.748995154114677,28.019269148263092,24.084311719577514,23.699342482851453,18.76683229754167,18.533997308598853,13.686624452996917,13.410700152172486,17.551482158131,19.698148536911813,23.018884126575774,24.65703220101934,28.768150439909014,32.95856686190165,33.22474057464339,37.026306391714485,38.62027873433304,42.66268052793441,44.410301745335495,46.14873213204818,50.035974301416964,48.64571310117527,45.44377312583478,43.69857219963646,40.529473813271245,40.08137866532348,38.19451618336487,35.97078614287054,33.860413677747175,30.566700212276658,33.4159677224335,36.87216185489403,38.002017073971366,40.89483781939297,37.11899627767909,42.973250092143815,46.522946114692864,44.877087809348225,46.18808771082089,44.330076334136834,49.87997293087589,50.76323046890579,52.05322013515368,53.33043105417205,49.972334658563604,50.76887352409374,48.85619318092147,48.90743354147813,49.76325589250375,46.468149396348984,45.77889814219177,43.92591903180449,39.90539126405828,42.686642512409335,38.83956858830922,36.471442789668615,39.97634144577903,40.436921661913274,35.68180018200389,37.16982231805476,39.55869111820694,37.49816319899717,33.66648079653147,36.340719465923705,37.42110543377475,32.89463972406956,33.23858957561698,37.44967371389384,39.09974041558542,41.643980034835586,45.415192158423594,43.927201938928896,45.48601623899769,50.20780699866688,53.16718931064699,54.585379121554745,52.67077598849009,51.78154067275138,53.04639545746724,49.81052675688184,54.58828567625963,55.223124825697205,49.69122378810015,51.25137466059172,56.12396613405236,53.448161687480386,50.752416724956106,53.88575597122484,55.856050368917465,52.188386815154566,50.236698465921414,46.55902108249696,45.63664813764911,47.863677888695825,45.90020232529425,45.23778299169459,45.53048501535015,41.946555318142785,41.412229092709495,42.06402403497746,39.20528820023883,36.20531581369278,37.946367880505015,37.172961574683704,34.04859714894203,34.467386198374,38.578788458158094,36.522112416139734,32.93118635418898,37.27525253496508,40.59438023117197,41.70287088813965,43.8911127483401,43.05449471081752,47.492248292558585,47.089673658080926,42.915832816110395,46.3056517141942,49.1530659216509,46.81270118494158,46.01292562566138,51.778084844569314,51.97031031784481,47.688726050156646,49.73355108658119,54.580641695975224,53.799068946339524,50.50279646413313,46.30025994188646,51.01905500102294,47.591742589054775,46.69650202514052,41.80604622778123,39.97515745875692,35.15152050293564,37.40639985179836,39.36515744295455,43.103425956667856,42.99199974392447,42.81195197315834,37.78518039298824,38.56923183374283,34.71804312940213,31.9969608643217,30.963164267168086,29.795091681070932,25.584709775119226,27.558985937945273,27.83925504148405,23.704506714721767,23.046165106455877,23.692797975751315,20.332651254354445,16.943485562838497,16.013214301879312,14.869283836742877,16.022002300257306],[30.6566103484125,31.429665445066448,32.600868290516814,31.335570432115986,33.037164657849026,26.716857083100436,25.97706076177683,23.476044930545477,20.266682612523937,22.043966444926316,19.25337174404485,17.878948017525662,23.34975628383374,22.60581014946066,22.218052879445757,24.304027293186188,27.84332506908255,30.255914310627364,34.77398146051442,36.677734410779514,40.093847653668135,43.97112536828747,45.53311502005298,46.99435700833591,44.35223922621483,40.39596095069177,38.708154115048025,34.627577927363504,31.837186004961396,29.03941109410521,26.929603624713586,26.373034948846726,25.626352028882746,29.756144184248022,31.04145836110354,32.42365951355226,32.15866878352401,36.63235411231375,38.969784361775105,44.20572320321087,43.69026671574089,42.30269081540287,45.97972161157478,48.11412132776891,50.00373773414567,50.8574165129317,54.44568764646907,52.98955348283069,50.59546821075398,55.96461925729035,55.75697035640216,52.873264483448715,52.94661508188938,48.26829934347265,51.09904444359496,52.979950583800324,49.29084802511496,47.47009315237897,51.159633333021986,53.36457672430855,48.26716615952541,46.18180304774797,42.46122279605981,45.674601986642294,45.68074984108022,41.58910119450134,38.79710619817739,34.45631679170944,33.34298418044987,28.86682330671222,29.918532371610915,30.490388560077573,30.004446499647763,34.63360069330261,32.15100705434406,36.21768831350065,37.65857043012672,37.57079666550765,38.888202908935504,42.09395131344304,40.36745867816911,43.124369785974075,39.557704987343264,43.27013241542743,42.34965248058658,38.45900074474822,39.30928932821806,36.52131605217994,36.380545108434134,34.625644826016426,32.39250266591682,32.710714746851124,28.636824347696503,25.635501833209563,23.16814844792603,20.39596082454163,19.05496710416701,20.709946061665317,19.75285439434392,18.928010981310372,24.554067225476906,26.334931042673542,30.15190438634082,31.45518005417563,37.32099399780782,35.63454388873039,38.567174600844375,40.98334439798064,38.53820282512469,35.156125610985974,32.79749138288902,32.30183285937636,28.367049773378227,30.984218764110665,28.572186102937003,31.588015661938424,32.30998655162765,36.08246156165615,36.16262588784905,31.516464548908424,30.82454800441714,28.425755404767642,31.199006362368046,29.449059349762493,27.756820784778377,32.480731585465264,31.52281575700803,34.427164928119744,36.96206549187817,39.23665481592342,42.511698120047825,45.14168384016535,46.706167501869416,44.12080661042717,43.576470273776515,39.73862501639102,41.921511300374995,39.56423462589238,38.32313647782915,38.4081826919828,41.80316632079238,43.839867559727374,39.94249450001897,38.07278298659426,38.9621412956829,34.65756052073077,33.66199351360754,30.497009362857657,30.198105750935213,26.213487995682318,26.496951630431077,21.544457759960547,22.113201668672275,17.391418099689464,16.94253069099483,20.937372726681094,22.456302343605387,26.081090458128166,27.19136532690189,31.51431812884564,35.18382730105993,35.238504705331245,38.67639195413243,40.53435396835394,44.53324031604418,45.90000831720322,48.02090829730904,51.72636989925736,50.39150064693608,46.9665198386702,45.50564809731916,42.2267482973784,42.170679637350645,40.52961170710439,38.44072720578875,36.693631694003024,33.12397126044157,36.41776534746365,39.53674354923121,40.92728039471661,43.47776035614569,39.91819982727441,45.78290944786731,49.243563316320106,47.336610788869045,48.47537354370728,46.33748531253286,51.918476880685105,52.40075110531959,54.05591684349062,55.38903456762879,52.19025080130689,53.054211581045415,51.19595273474125,51.35456239772439,52.21825327432563,48.722790445004385,48.32488728786737,46.39787755073339,42.60157798661886,45.56258015478573,41.93192535604767,39.260309615236835,42.57240827235834,43.36920925845537,38.569187121777574,39.46277126226695,42.123404927763985,40.5047694853192,36.20264199101722,38.65209647233206,39.993674408532435,35.525557097103174,35.313067795137435,39.54270251369611,41.11883654062527,44.00166826463958,47.402248693180155,46.265268218980076,48.05989212971509,52.91508917269053,55.91069588215992,57.464576034806996,55.84241027967034,54.969240326245625,56.405345734328165,53.219885950039455,57.948578031424525,58.39421598863075,52.702872634463795,54.392552487623114,59.11644791918334,56.212857165548485,53.52277487526778,56.67559116249424,58.37660199866821,54.57174308733612,52.66231421608673,49.12128701699803,48.562866780010054,50.97480051905386,49.188709690266606,48.76904921040805,49.3028713171873,45.69686994815603,44.863025767644174,45.6879601737909,43.0496151048579,39.796505301652886,41.361450056274066,40.84186340240761,37.72682656430837,37.79219881754797,42.02473594539292,40.08287496044838,36.23469446269905,40.384239868932774,43.848156870699874,44.81746093873941,47.213195358694975,46.42521194894681,50.843145599905775,50.223680694669405,45.84741920864417,49.366694791073456,52.039847642288706,49.50593954756177,48.6518116873823,54.51865853036316,54.43109416603733,49.95222561721344,52.10265001543044,56.9677160040487,55.92013292686119,52.46446646483316,48.085941895143534,52.6144348001495,48.91051268286695,48.28490534793087,43.245372801269525,41.845261099727445,36.96536574351955,38.71117297955253,40.84286089776432,44.49015297251967,44.575404965871,44.858229661753214,39.80595525624317,40.8990831097625,36.83591465618405,34.13174425582524,33.67265389420368,32.68585802336426,28.571472451107173,29.98093876340067,30.13283941136784,26.269636177202795,25.23350675339231,25.341303911557276,22.4011825153223,19.300058326589483,18.897467533081464,17.8690028194012,19.09950436037761],[30.784835619033178,32.046383263268744,33.49843392978333,32.88800405955027,35.20887914338392,28.810875796107332,28.732045615696904,26.453468871928116,23.457185957537266,25.760452479975104,23.302644395896397,22.048673911820917,27.570441115535363,26.733315981381676,26.76587095812073,28.889006224068655,32.26263289080854,34.85390256148602,39.3012448009947,41.30747848613225,44.731664942132326,48.65245165902104,50.16743215630966,51.52917426426019,48.88377000539492,44.86089734956986,43.15739525875194,39.01407462787234,36.375192210933015,33.580548627958656,31.694780190840085,31.012603837215575,30.323443673742137,34.49855925253438,35.76324840313262,37.147191276031116,36.7419091367312,41.222959690107956,43.45450190103181,48.70427384737937,48.1265463618178,46.89547725816828,50.62788831994969,52.663969467761795,54.480149559000346,55.21037231025177,58.819924836565285,57.49525670593537,55.00657456407144,60.3535097784359,60.237124889828074,57.36119691689416,57.524658333284265,52.81399172761305,55.698839386731045,57.65965245400237,53.98308848051305,52.173840319020854,55.89521621348793,58.115951799636264,53.032351988356844,50.98053448585219,47.26258388647,50.457214249482604,50.45091506365308,46.356687112172104,43.499458088787144,39.18119368876815,37.909701836052115,33.44931706241229,34.332689352222445,34.79799860198469,34.55208916934966,39.239544213089786,36.893218699035536,40.95926829429523,42.45667180181952,42.3456188481575,43.66898524538684,46.85543832420313,45.034070815186915,47.70919105687529,43.989822726675,47.61783566248682,46.71603089157971,42.93302748830928,43.954819434456034,41.15815981306748,41.13859458858156,39.38363536537679,37.191113350877046,37.4517376355179,33.3984901495655,30.41094566117639,27.960238911497274,25.182944524964903,23.77306449047863,25.407674623199835,24.24062421364134,22.951108051493875,28.866063286360273,30.098954583924144,34.277822355139044,35.115491642054025,40.97991468870329,39.03534234941342,41.66944039014462,44.00525891033571,41.31973390098028,38.07467727154982,35.56743205593778,35.59870944443308,31.683447382015817,34.52806776942179,32.436101167566946,35.365693236920755,36.402988387710515,40.05819333987272,40.42277381253809,35.862582801544534,34.93074281431774,32.406693339832955,34.81745060502128,32.949323347749996,31.020368363390812,35.710881390993414,34.2902860219209,37.51481274353718,39.96939629392577,42.51580387273628,45.48878890386668,48.12900291057165,49.97561884233524,47.54265476541647,46.99622450482085,43.20660533563607,45.028414367754586,42.927191350390764,41.748752656059885,42.133928040632966,45.56186288213387,47.87390221552448,44.107625666462255,42.14146737414875,43.20347523683712,38.96538679078023,37.773753282594804,34.574051481517955,34.04386148208348,29.879430341340495,29.809218893852723,24.83530304317895,25.12039998617823,19.924485203912162,20.392593928465708,24.604560287699563,26.402862397754273,29.753343363499123,31.290724322010494,35.244697368824745,39.058124484760036,39.46790829321925,42.72703336128351,44.76909761999545,48.57059132543865,49.760727297470716,51.76816893565341,55.42155652735235,53.844694488410845,50.453330325632486,49.00640268857559,45.902488693549415,46.03300215923072,44.49464596945928,42.540062974700774,40.73106139242152,37.37142626545099,40.58994929925284,43.78038889057637,44.99697830170792,47.527811687663174,43.665434280887176,49.51407454545311,53.01514180390711,51.17651377470075,52.614924399466894,50.64174318287561,56.19602920414808,56.599890128593266,58.14454680907697,59.32338834548579,56.07549120266006,56.70011352126257,54.66840599693064,54.640558545552295,55.249129723274784,51.641173261316624,51.05329616421908,48.80472441692881,45.08262966395489,47.68181780644605,44.060032756560084,41.445163800838785,44.38707999655842,44.98305317776445,40.16080852227589,40.92097734607241,43.30812133000236,41.572277556956294,37.181687070668055,39.36649419674747,40.46030830554454,35.986157163311354,35.62948879139958,39.57068665622441,41.44647519777902,44.10102231936648,47.89783950487454,46.98751164484998,48.58918482644975,53.637723738851996,56.29422156594889,58.195990678070565,56.81844509828122,56.276132356830914,57.928596935643206,55.039185142619274,59.85782611116821,60.050104721156785,54.49122042139466,56.483206283817566,61.126042964696616,58.08693707172339,55.64724194365516,59.027289340051446,60.451485034777434,56.556213232196505,55.13682043596396,51.28712420265031,51.10789432394356,53.378705452495545,51.28071209098463,51.04578500764769,51.31346518351714,48.020727224585336,47.10894563091714,47.444131864312645,44.92450135484839,41.825829747379174,42.97577015144673,42.160476992006814,38.99585240596533,38.95973922520474,42.91475538234807,40.73605347721909,36.78095751155618,40.838330385664825,44.228055623402874,45.424821116991104,48.09636260463944,47.721926408215765,52.123762571335604,51.10445356373918,46.95538813253107,50.80311988049932,53.18970077481361,50.54682041648353,50.12940576091219,55.932016681485365,55.514585215674934,51.1899006075364,53.72666152746613,58.37352194133119,57.05460318442912,53.672002293018096,49.22809992767636,53.548723480887595,49.74573322636546,48.83471426290857,43.9751414851748,42.812896222856764,37.94583042839989,39.66489529566154,42.10540471583953,45.7594259694825,46.189933710605295,46.53799993270689,41.792021099175436,43.23859544679753,39.364413857772746,35.97051761624589,35.698828375337015,34.2964639140003,30.772801219522382,32.09008790412631,31.51010825192086,27.63255659463065,27.380535183119875,26.398647215436196,23.290632708576297,20.53782305714634,20.459081466020407,19.162243604398114,20.017863025871932],[30.674569975501683,31.7773636221452,33.573029103709715,32.03283275226082,34.77718230992643,28.437969354250335,28.195824254567956,26.585411976025622,22.867617634689598,24.570808431696463,22.084849456359088,21.78736671658741,26.7890165320485,25.033946920775183,25.39747562096181,27.994435968396676,30.900735693325657,33.32302429202004,37.289306609908905,39.81571346789004,42.954287277596514,47.14138817195316,48.288506766516164,49.482702885268935,47.11511796521652,42.91780794018594,41.61835301652901,37.52666990098915,35.243467694328984,33.00127330045434,30.754418910258018,30.974713972701885,30.50312910561777,34.412609352263864,35.62170584496404,36.48075966373144,36.65498916471583,40.51783089214732,42.653212909341185,48.28324156830111,47.09328093676939,45.66210684736009,49.56546568327731,51.42316795359181,52.93951049531942,53.72107368918332,57.26624964386108,56.15557059722343,53.93016850883877,59.30506568420647,59.456095458609674,56.71252400543938,56.9757650817855,52.27722358825441,55.52265274996654,57.16029287762683,53.30036627167091,51.81396120918707,55.52475469238076,57.35146395264794,52.05745381488315,50.02725716805413,46.340603567233345,49.07229307733372,49.07432679243713,45.158051690563674,41.697781247138174,37.5806289004494,35.68344209956238,31.30804411250085,31.746391781889756,31.849958119084715,32.17775804210509,36.99577872052593,35.27905843835798,39.62146314389227,41.403052270294026,41.727342655562545,43.206517290146905,46.44368141937356,45.061319631305054,47.713974670764664,44.4497608620659,47.97382668302792,46.63967402883913,42.877363433514006,43.505992421759686,41.196344981944556,40.48692988224156,39.158430684333666,36.428363610345244,36.49502423164392,32.469728026603235,29.86908991910718,27.213454618779455,24.24332777903318,22.571848272051092,25.403757221148812,24.564155642903188,24.451321076505824,29.762008684638698,31.590915053126515,35.202125753895615,36.31521739784526,42.07068648731194,39.91100110033896,42.936285349511635,44.953186274474014,42.1047653431308,39.09923821910153,36.158675876427125,35.7508270913982,31.47133341775547,33.788193677290266,31.228480672739785,33.75433039904474,34.65677173027566,37.99127515177696,38.13813518095345,33.833516171535,32.5770311376649,30.263622829056576,32.57540210444215,31.114515614126542,29.653980168573153,34.680318985214704,33.99920210127603,37.27872403079901,40.07411853373569,42.88614981407572,45.595404202060806,48.637475177369986,50.15297998716924,48.04029710895458,46.8799292659022,42.84102032942441,44.43385778057485,41.84585912141675,40.23027158999036,40.886522101344,43.728748451592026,46.03574969425298,42.355403257106154,40.672015279265985,42.01564136088999,37.99059702676664,36.73886631051065,33.9756506421681,33.91488298641512,29.802150800185583,30.515979814469464,25.65238643949155,26.90195217631022,22.13935954047789,22.172031890655358,26.090063081196476,27.109729334189502,30.730536087312775,31.64260668532078,35.74762060460869,38.89559066250201,39.0981820715851,41.88115627538639,44.21526533582866,47.89683291731915,48.650864854915845,51.06294582881865,54.48515349345321,53.00981382088873,49.400315448481486,48.277759730331205,45.068857431318406,45.62713636223656,44.393103854854054,42.63933988234221,41.30011631919697,37.69118327505923,41.461475965092085,44.163402033410144,45.66066983699916,47.70892166046781,44.13043012822661,49.94241204841551,53.30467999519147,51.15735865207312,52.4036160186243,50.153981587814876,55.68671167588457,55.6149748489241,57.54591482639008,58.77048151686142,55.73184195718913,56.44087600515502,54.50557413415732,54.63472377823877,55.303062939784844,51.51672214689777,51.33194029809989,49.12060858342533,45.677504890617506,48.60836258954304,45.28589439369766,42.301034424077244,45.131783863019194,46.22726927150798,41.41415465188672,41.51075263046493,44.3294556692286,43.23006385896356,38.36575271797984,40.38887328353788,41.9334619534605,37.60821009307976,36.661781368698435,40.7339496737432,42.30569862703769,45.482174432693995,48.536308364312575,47.93756496554788,49.92856802369319,54.99064400295374,57.878194934981444,59.740622521599064,58.61606650418873,57.91688971594241,59.68307980836059,56.73602513721342,61.42522849609025,61.47697526588141,55.67939109211402,57.6971452473261,62.156280174872784,58.90083321609545,56.37975809136369,59.6781380232438,60.863906382215006,56.86460972903418,55.32262627399378,51.779200814113906,51.91112702352319,54.45111815460627,52.71864842809086,52.73725528719434,53.44857961200216,50.018210956150234,48.72837620909106,49.511539002029004,47.263168743701435,43.75954048678291,44.86041238181376,44.55321077637621,41.45681651846041,41.00384279791228,45.2411346712838,43.39455806189458,39.203144797350824,43.00586762816812,46.603436721409594,47.45288942941746,50.21416108268695,49.67405626883056,54.026455949924596,52.94540934808689,48.4396631461004,52.250152327059894,54.541529347299246,51.73099393912537,51.02653148113948,56.943693275734205,56.34559051018691,51.735002971368054,54.1945290114692,58.93135148391533,57.43006545448296,53.84709741713304,49.26853073021283,53.42829116478871,49.387378683659904,48.95330244162847,43.8817591390674,43.118492596884224,38.256579979654354,39.370544909368334,41.8213243312429,45.31576659505934,45.812099597032315,46.663892400929925,41.819978709669634,43.469837355038436,39.3398939095601,36.2852168094457,36.60478983373687,35.63043298852217,32.02469567790389,32.6995619248391,32.31373785128907,28.857218011207312,27.838836360277583,26.78771857842758,24.369016453150707,21.901831047270285,22.24076999737289,21.357158187046277,22.539603371553206],[35.5229758026174,36.92174997972265,38.9357992983011,37.584862747349,40.664142531008906,34.34480337587623,34.25859827077892,32.72333019473889,28.994590224704066,30.561503365581135,27.98120143326119,27.7259144980855,32.662708700294445,30.719137448798456,30.813940540466056,33.4933640729142,36.46209588787815,38.54079986861822,42.290224045969616,44.966664266903365,47.868914190011246,52.12053054410879,53.10633967516912,54.401333169286836,52.2696695849742,48.0695179797826,47.033364278013245,43.046948251601556,40.72309098751182,38.58052388278114,35.75223126467529,36.315132477515185,35.40460496947343,39.03203483665859,40.658853397552704,41.652958787681804,42.1045528412344,45.98307883477822,48.250766119710526,53.87860311326715,52.68910021439445,50.98669933373551,54.824428378436735,56.79831007790132,58.27470289871646,59.21134331241514,62.693719173798826,61.53756434401468,59.522203224357185,64.91103527046108,65.02277181089154,62.28890005806496,62.40557371306982,57.78770134904656,60.87527288676636,62.358249736543776,58.49540303938195,56.92260820922424,60.457256421414975,62.3044226290453,56.943556458520206,54.60873572010876,50.812037379944805,53.399234620944945,53.72213656966582,49.974650154482134,46.3022028853042,42.311346698190206,40.29901015983252,35.9646062498731,36.29798834275426,35.88991414147731,36.30281175644867,41.10161224262062,39.66204358740727,43.57185444780645,45.877586743446955,45.97982509270972,47.83798949737935,51.29631416503635,50.16860723941517,53.08647390906319,49.94325080133751,53.62837874939006,52.37257023112355,48.482141334809775,48.85447633145563,46.43128814841873,45.490890358133875,43.767143548362924,40.943640302919036,40.45278868498602,36.607600936774006,34.24369202401832,32.08724050565275,28.80454377253591,27.664437339672983,30.59389453017587,30.115838983039833,29.91617397456822,35.26494539859157,37.30192856768123,40.90656512336886,42.22254380417534,48.019649692830754,45.98155915367837,48.9648410556276,51.04417774084073,48.193019596432855,45.16949075266609,42.25666982169655,41.89334791845502,37.608936779320736,39.85335261035871,37.151822460975666,39.55892737536597,40.28952308456395,43.50047863168335,43.3018609089438,39.11704359954966,37.85695117846438,35.77380879588619,38.12892726175167,36.886650134728924,35.599087760068024,40.68533761012592,40.07005396711694,43.394630566215454,46.20065317746656,49.02317060336045,51.71336337801426,54.76019972594033,56.290014651306635,54.16065798634039,53.00352231090961,48.945002998883766,50.4898625509707,47.820339222807284,46.07489093479359,46.793304798964115,49.399111191172715,51.60655992355344,47.9121045162851,46.406485473174286,47.74451127298492,43.73735896840675,42.594364546315965,39.928831726843185,39.97799235860371,35.911106412384804,36.61496739516069,31.72577417417269,32.73991516262794,27.795276949097435,27.860875103882506,31.853973114966195,33.02625101569497,36.6971108282798,37.55332880543673,41.80046862402916,44.94512233820028,44.97236689831102,47.79325855527088,50.066293454605116,53.83081417604987,54.55455789252552,57.07622950262921,60.45198619588162,59.02028919957417,55.36286174369211,54.31812876197564,51.07735180757452,51.66053423271227,50.40595664138376,48.57681571331499,47.198796576650004,43.48946634781582,47.13231973820417,49.939691554515676,51.50675860696154,53.66168479926606,50.18588620549128,56.00649230137072,59.367769909659806,57.21184929952877,58.32156868749417,55.94946777588233,61.49034735008631,61.391068906544895,63.453078878360266,64.74688710990874,61.75171942457382,62.52248272362247,60.616906281611016,60.76025045056122,61.413939049124664,57.60115724501918,57.41269621790853,55.127946471330226,51.715641350465035,54.53643124195421,51.19962384203449,48.25865240288171,50.95788220903621,51.959625467839174,47.14610567496168,47.18482678326533,49.87197224000748,48.689279548732,43.822665845421525,45.68455599874774,47.07034099993791,42.75721643658112,41.726621374704905,45.57370141690636,47.32892950939935,50.35167407984389,53.61905449954553,53.19940123044386,55.07151362708256,60.23856507576877,62.88745488359484,64.9741076942351,63.977559696165876,63.463561711663644,65.3096635112912,62.48547873034427,67.21984576123599,67.19242440057208,61.47037390631409,63.5904662488796,68.02970066300028,64.72739534637574,62.30141000715428,65.66918982933473,66.74894881228043,62.7086359504543,61.33049723847326,57.71549367524545,57.95432373449845,60.444171705147326,58.593734725867975,58.61335621526039,59.15639352621178,55.8212626583201,54.61370711576019,55.171402491740345,52.8752989084514,49.52702172280765,50.517075857476094,49.984072705770835,46.85246192033511,46.45989151129023,50.50301968641981,48.46088467386639,44.284789425588464,48.06930520122713,51.57529789033398,52.610588353915745,55.502536130471434,55.18813425735657,59.5349746656386,58.26516782382853,53.91931439708667,57.882557526690796,60.03495750854711,57.17513512782257,56.695030060875354,62.568944522221734,61.78685655510756,57.25707573794899,59.90104629840263,64.5255295312806,62.8530070445632,59.29868743447125,54.67664544632207,58.65500467176675,54.51190272136814,53.989314320076616,49.02975697597065,48.491890601912694,43.666929986000795,44.6535780824744,47.27532806165307,50.71701505522113,51.41570613131578,52.38238814838364,47.6742653617376,49.461114291534116,45.37366500040855,42.126407711974366,42.51849613052819,41.37219798464138,37.95757665733573,38.65382822362721,37.99198646249109,34.53115310732528,33.818873670321146,32.339982258470705,29.87184954182446,27.545398388390215,27.917859988291127,26.830701804550277,27.736745723983567],[32.06670206719539,33.65855140423922,36.00868248862339,34.68864449868826,38.42828690299291,32.24920739008095,32.687272738279205,31.77478642980162,28.02120238596799,29.88991422632171,27.836708252256418,28.11957227513408,32.7983717445824,30.5098359100037,31.490928394281365,34.31212207532943,36.725503594064435,39.21700655160549,42.74534202468436,45.67448862867724,48.612110765251174,52.979150725262905,53.82003783644648,54.755974678704845,52.59138718026342,48.2505832277725,47.200259744808896,43.12071515191246,41.26347990009382,39.36652517901158,37.21220562988933,37.76370098764712,37.48159060681997,41.289096247885716,42.423722142872165,42.977171304403775,43.316421519274726,46.79476128165707,48.72632753515728,54.57233084005036,52.9212573527534,51.57163453373634,55.624575728519346,57.22453078712363,58.438478137755304,59.09080371233713,62.58825949748959,61.79772135712495,59.647097471742384,64.97610497588676,65.43051526825138,62.80132627627663,63.25035992515711,58.5273784167127,62.07154289601839,63.596053654329566,59.63243627218415,58.37704818122022,62.122776028155535,63.697254067868705,58.308872230655965,56.35965620088176,52.723783818208844,55.12054604630147,55.10039728457933,51.32098926702933,47.44434179670744,43.529621864791,41.0984409571111,36.88877371973792,36.853633523423305,36.619486391835935,37.57898426269275,42.44141690975263,41.28802016307875,45.75371283884102,47.737631089484175,48.30455205944705,49.86188254995334,53.082253958919964,51.856641665548,54.381374804045734,51.23005776011889,54.5763110663547,52.99606911883609,49.394355370308986,49.9851805309903,47.97422945102642,47.005427050463005,45.950505799103645,42.977283644137785,42.88884048728903,38.94100712593599,36.58223052956849,33.85176216572178,30.843577008812737,29.00294847651424,32.31496549923146,31.422057779366412,31.415027985910456,36.697450436662876,38.27229936793697,41.93766958943043,42.69746264276689,48.35200588059277,45.7796607062858,48.680785351751446,50.38001032667766,47.16991847619358,44.518075412300426,41.17264367904823,41.102851828359356,36.70497160576727,38.91186306491301,36.49873220762183,38.615920291329054,39.79366204600796,42.71174947219471,43.075428312842675,39.12394436841795,37.41074960906369,35.14096856053148,36.87755620851295,35.57615148867724,34.17367482186216,39.23038875730983,38.48780103493633,42.11439519247634,44.989076583198006,48.261254915454444,50.39937748451456,53.69352590162306,55.316414919932605,53.62250158961481,52.06088917524012,47.9631756017903,48.937851255293715,46.38042264485466,44.57900729017043,45.7729832520071,48.222722516394604,50.84278177919935,47.436321977134746,45.84056974321233,47.55692103070105,43.79517995721523,42.292429244829435,39.79302029628606,39.74729837668205,35.535063302779015,36.298558885217666,31.56501751563106,33.02108609114357,28.108223101747658,28.75317881006152,32.70242795857458,33.596106587627126,37.04312286054853,38.05285082548888,41.80090532546678,44.6768064764929,45.16434823035128,47.40893539431028,50.12710956195804,53.4577655232197,53.69510052857923,56.21270488402998,59.380071452499195,57.68062807008836,54.00274714591411,53.132156571169254,50.10838574606807,51.169734018272386,50.265842798301065,48.810767414770574,47.69800921937878,44.199337400348114,48.19843045195227,50.67206403668337,52.13423068341023,53.84158216008223,50.10799327555163,55.8384495488867,59.138392615862784,56.88176223806288,58.36199355446917,56.14776694578661,61.6007000837451,61.10837951535237,63.14788643964944,64.2015522925828,61.26501581881809,61.72389738225326,59.653895532992564,59.661947291751474,60.04519006660056,56.019778080316,55.88091974744509,53.317685411627785,50.20580897648217,52.88475436865218,49.824503201923925,46.695314646221675,48.94640978647249,50.1328052675798,45.37608011224715,44.830632901955795,47.56418982711857,46.80306954978783,41.585707791756505,43.105897254223976,44.63767139585944,40.51955431865905,38.97372339856042,42.65789010133352,44.35017491201588,47.561241984295826,50.50236673519669,50.456997972108205,52.461708080680516,57.71503658248392,60.29546603994985,62.56872326335377,61.96934110852649,61.58512941161418,63.6973054422501,61.10874609849078,65.77903237864227,65.40193167180875,59.651292217350246,62.05273292848652,66.23703586558145,62.675013500034765,60.43954185712569,63.942597256616175,64.58247151447402,60.42603694721337,59.44315230148152,55.76494408017186,56.594596596534494,59.12688476518439,57.281776498508066,57.708281219229704,58.4013524781094,55.280634285568695,53.646295468317575,54.138764016928256,52.245612372035175,48.68459461906908,49.24098701543935,48.93812520932158,45.874438827092675,45.01599160074801,49.04683023751836,47.18012551465132,42.76690722723545,46.19251251740688,49.78859591873061,50.65052649156852,53.786999246481585,53.64965065588515,57.895279303695226,56.27371207754823,51.85147999230681,56.00048744637273,57.827406143614894,54.785380677063706,54.43888044149573,60.28627999126109,59.124732653378686,54.56067050926071,57.434223212376786,61.895839769635565,59.9092786635526,56.31883170326788,51.62050401165022,55.30900493091166,51.01058837150544,50.57481754192364,45.67925258359406,45.55913004994093,40.835749736920356,41.42408236323179,44.23305327366138,47.538456070129826,48.534155465785744,49.831570140209045,45.39671229248658,47.60370973547148,43.603348045924044,40.001343732546175,40.94307328462458,39.784103104432134,36.887034874501026,37.030849893918955,35.91672178654461,32.84340614415712,32.266116559519254,29.943487058478297,27.921941724496513,26.16200189908299,27.074100658623582,26.220486571088106,27.153211652624005],[35.92689167031878,37.37273625053977,39.80857840722483,37.93462509989646,41.68360010433855,35.60254565117088,35.73198675624093,34.981478490313144,30.897810349043947,32.175434445119976,29.914226552433202,30.52364959935706,34.87484574284586,32.162440386149235,32.871044538233,35.883954475822804,38.19921488793335,40.24804194481979,43.40224882377798,46.589556923530544,49.19678087461158,53.67107356966946,54.249134023431694,55.23896723950429,53.388345088341154,49.03481715970817,48.37325511432672,44.4618398077455,42.6629526109851,41.079714123672495,38.277168623794985,39.48685052849752,38.953023082607324,42.38681728801583,43.79741603407327,44.23129530874463,45.06779306609281,48.27961256586184,50.309227323789734,56.26118695346584,54.40608745680434,52.69776141962577,56.716778902411264,58.37230061192584,59.463060528346546,60.317858302412795,63.71255705233792,62.91124549766389,61.08699895905807,66.42823650030108,66.9085960316876,64.34738373031396,64.67681380619501,60.06140111459778,63.585991854061525,64.81411107902633,60.79070934824954,59.60469395231514,63.175373380971806,64.5862264773077,59.081278006373914,56.90681658785537,53.22914476268823,55.30897175571829,55.54016872618599,51.992454281347214,47.761612921689995,44.05716341582147,41.36454621027588,37.2714614857725,37.035327707469555,36.29554069911381,37.460986453923596,42.280453802089866,41.5667351267076,45.787106016615255,48.23259953045982,48.82756090873609,50.71106593016357,54.09968931358657,53.29397133653121,56.03025584280794,53.23601565508939,56.68920794630831,54.9991583866789,51.277342981853955,51.43487241068459,49.55249363552783,48.08614019054805,46.92769192927133,43.675403624859776,43.12539024549151,39.36522999830748,37.37017806563464,34.95006370130518,31.700025235647555,30.19614349543604,33.99840159366697,33.58109136742341,34.10986031740377,39.03898052470767,41.20154713186187,44.475987224264784,45.698161932581314,51.32740370694533,48.91205514560012,52.063728166098414,53.742149883080394,50.614213222190465,47.95910119857477,44.578121448446744,44.11104101427081,39.59449470298643,41.42589482427711,38.58249504665894,40.477384126408815,41.29363685376073,44.019297838478515,43.871378202676176,40.11699620683663,38.401428137062794,36.48942498659345,38.391007150160995,37.499774547938465,36.54991698398851,41.75815038217842,41.58897702505661,45.07604468925519,48.11147447024615,51.32483510069807,53.517247332014065,56.94235626147206,58.296063553277115,56.6246639756509,54.850475872789424,50.6355447639057,51.686492766516956,48.7508968226086,46.65612951547607,47.82953542815851,49.82978846797813,52.20431361378304,48.77412568304297,47.49253182739281,49.21617600543375,45.547570161834564,44.21536164063651,41.99552486316822,42.32180699337872,38.28169668510676,39.475012631767974,34.78957040496239,36.49952817210119,31.79917211714307,31.94518748510018,35.74120793011422,36.35679057300512,40.033187914570526,40.57811924507481,44.63848518542805,47.1832492464202,47.277319459093036,49.444038742933785,52.116692517929124,55.55028293393065,55.68748414983173,58.498883068613196,61.557979894915725,60.07425947884134,56.26951025461037,55.57989628813713,52.40827243876332,53.54535635580408,52.6897567181041,51.19133525986701,50.26055804705455,46.51366174318405,50.63471816580394,52.95651372740717,54.65546310929369,56.26414800853974,52.88708857666971,58.59889337166738,61.814976827383745,59.407297559381085,60.54465388716929,58.05344051363698,63.49499956711481,62.83602827496929,65.18099735974093,66.38718788144284,63.598926646305515,64.27135637987567,62.36376195771223,62.54515144436417,63.08457372513031,59.04761953186438,59.16092361374582,56.745348687421966,53.714029381962106,56.627505056672355,53.64987785117531,50.40251341159037,52.733856539743286,54.12820573528761,49.38318177417468,48.668374268428224,51.60362045244771,51.0412438331976,45.72652547776804,47.24419830680251,48.94427129833479,44.8685084706213,43.183227656654964,46.92638977875679,48.47848889972032,51.87766646150244,54.50293012671924,54.54901186836119,56.70635591317092,61.92632521618187,64.61750043928963,66.82945355342213,66.25704593962841,65.75995900420645,67.84076786020522,65.14802660378666,69.758271928729,69.42520629689511,63.57112695943684,65.87964466705242,70.03205932141508,66.44339293008247,64.1042676855138,67.49213209402396,68.1326556527575,63.969370671208,62.77625267552055,59.33817958056912,60.13320292848103,62.79882269612905,61.168410842197915,61.57220106207576,62.43764318012267,59.16200268231458,57.50923081726791,58.258515843879266,56.343202318203346,52.67816845453985,53.375913263034214,53.22809776422752,50.176520078623454,49.29943475351514,53.44610029980349,51.66290218983195,47.23902817856931,50.6533990496736,54.29742448205903,55.06097236117289,58.161123527074785,57.893870309811206,62.13600551474732,60.59240693407319,56.03670471099296,60.094563690496976,61.96070937756931,58.893351643610835,58.35711065975891,64.24903239092828,63.09213693321999,58.398969270645175,61.148641169607174,65.68509043433188,63.67671667081412,59.99415371354884,55.264459917628415,58.882813360147196,54.49553387046092,54.33741691999102,49.35219726270328,49.38161357479599,44.68240160925672,44.99944755987801,47.74114094009041,50.94210556371143,51.89805409537085,53.41230263095369,48.87223374188867,51.039932651572016,46.884144389656484,43.65729072456524,44.72724119892757,43.80614447935632,40.689078802692855,40.70792717470068,39.870032653866495,36.90778961313144,35.89778305432824,33.86634940155893,32.07140419480139,30.25758706028498,31.10536716944206,30.329443916635398,31.349488905393283],[33.16283789762685,34.73994771635795,37.40954313437114,35.60023181837641,39.82510758878274,33.926174013770265,34.47508787172941,34.192826595847286,30.184134360330052,31.713811873025453,29.90033395719147,30.849323237389328,34.99049509995594,32.109944319307466,33.489194681375196,36.542690269368286,38.44114730376874,40.831907276639704,43.845580972365404,47.16339312036093,49.825050776483025,54.34668462698775,54.84950983697203,55.55311387581383,53.64690897664423,49.21418408303929,48.49634249516552,44.521993241251636,43.077652713214505,41.64688134153584,39.442447278982755,40.54100655989484,40.48883523008382,44.08321385549027,45.09553023431993,45.226807771779455,45.90910052141549,48.84398248371738,50.600065797579305,56.67033011755294,54.5045434644252,53.115344303402786,57.28040877748295,58.641215985500864,59.5421776304818,60.14947368192366,63.55580453198139,63.04035471620021,61.0794103425561,66.35439041777614,67.08909661505844,64.60480195844042,65.19619626548794,60.50814642822525,64.36144055191261,65.65546030146943,61.58042412954007,60.62552813596175,64.36331334758967,65.58994143813912,60.10111949224021,58.25439741635326,54.71566084119396,56.69465229133475,56.63254824345319,53.04403055864321,48.73542470658951,45.08074501244462,42.13773918513028,38.156968675125,37.679584234865104,37.15274246283384,38.679509087081485,43.51166670345401,42.94512820747773,47.57848513860884,49.705727368139634,50.630194985908204,52.237820306363574,55.41516159407535,54.481047918188054,56.89016073799966,54.05621206961912,57.23040201951,55.322322106874324,51.84753155358311,52.220854012282246,50.63120052490798,49.22157705284925,48.566992188070756,45.26827241927371,45.0829515287797,41.24060836604797,39.203587206128034,36.35516470871004,33.36609606601516,31.344305634390075,35.29541497439079,34.53191966934113,35.11892881958204,40.00368630171407,41.7544445293568,45.092633004210214,45.855586263064914,51.34745750977371,48.538153731337076,51.586839501861434,52.97350208225048,49.589657143369266,47.23148103110862,43.55912960581301,43.34884841130939,38.804596266573064,40.62031084866792,38.06722021335943,39.74366323873408,40.932355264571164,43.43000107014311,43.7753136588355,40.20860771739402,38.16536025311959,36.09127444186772,37.47462443017069,36.508657482246036,35.44237522323915,40.555065168960404,40.245691165478014,43.93952943925447,46.98836339099599,50.523520559343666,52.27850349739363,55.86052602743667,57.301301370890684,55.96545810213812,53.915722047742406,49.707856061265204,50.308440654446684,47.51354681599586,45.41730810052916,46.95288690353887,48.86450031294494,51.57136785873875,48.387114989546454,47.01014769774625,49.00762219833927,45.53801535461138,43.92719370808391,41.82068531995582,42.03431047059047,37.91156422224284,39.09559632757308,34.57618563512633,36.55694503729113,31.927854941198863,32.51385909064324,36.247748619798415,36.690487267846756,40.14503555827028,40.845042706887064,44.47449573546021,46.83434552065046,47.313166496692226,49.04276205877747,52.038474867094706,55.11434650453066,54.89288275954992,57.65524482851686,60.55120822309691,58.84621045377544,55.05712118363221,54.48806752792807,51.51535997167747,53.00143201675495,52.40956960837874,51.20312932609987,50.45274313940503,46.91150151265782,51.25259507392651,53.33731188647847,54.92387025605232,56.204494030434056,52.614969429202596,58.23167099204126,61.39576807652975,58.93919975455236,60.38746495829762,58.05826475110219,63.41050348312612,62.4753443505402,64.76012078837397,65.76154831677144,63.01368992201739,63.42288257587344,61.381998539740664,61.44162483277477,61.75692187914319,57.580532460390785,57.710143800040136,55.08383235376703,52.29492518935361,55.066389642132705,52.31191136776861,48.9525576698804,50.92124262686405,52.435567056817675,47.768793445515236,46.62170518903646,49.56046657085703,49.31639589881029,43.78517185995629,45.02737049446404,46.82132588311407,42.93164323760838,40.872139032851024,44.45290090772251,45.94331770876686,49.4599778681195,51.8194102107969,52.15035006055761,54.39174721372504,59.64845395395215,62.270234905308584,64.61454065649703,64.34648536579161,63.95462867138768,66.22888712868605,63.73188072081032,68.2773830436312,67.67788707352126,61.83357673528349,64.35097012783926,68.29513400088577,64.52363338352643,62.34775757092104,65.83323165480631,66.13423078018288,61.89767019890187,61.031210031416975,57.54448675564755,58.78848692713647,61.463231452585966,59.83062996068661,60.540483596186725,61.50308103952096,58.41339825355338,56.452573919800734,57.13299045101179,55.53033643348705,51.73646103500598,52.09746993427964,52.11642245910126,49.137266472494936,47.919946392559275,52.02258977477547,50.38299971496573,45.81905751072529,48.934474156492584,52.61921953281391,53.24729618901302,56.51284731096223,56.38475821482572,60.527189257960124,58.7231402190302,54.14035077642008,58.31893960392147,59.92558321576844,56.736956444006225,56.31454102008195,62.15266741858611,60.709255680784935,56.02174859618679,58.939962437919256,63.326358405061306,61.084786670411916,57.397663063768,52.636002461802875,56.01108355842195,51.52983673542808,51.429623743343434,46.53252964941639,46.88252844493335,42.3031117365524,42.314463314875454,45.182273118487515,48.256526209817174,49.441877111561936,51.19152055026215,46.90126062803021,49.37805434706969,45.333712740889446,41.84204166906433,43.31304474936724,42.37996131038192,39.696045837373966,39.30663233126508,38.12325084551037,35.491617457691326,34.61686112570282,31.965968984922977,30.541109062757943,29.189283496190356,30.41303552935357,29.817743369318347,30.839864003694327],[31.71894169934585,33.56712745876782,36.45289812599937,35.039457699675,39.73630989718387,34.04134869074575,35.11058560164269,35.163124183889614,31.404949137326224,33.306272680695805,31.905752156173264,32.96287797694048,37.022452652170564,34.168429161433224,36.04559806627736,39.0501989771037,40.683258454010826,43.380737544932835,46.344434086616275,49.68937998600482,52.43051987144602,56.94766785549808,57.435429079802,57.92217461925528,55.937969482528835,51.470850753528794,50.64740601469404,46.61773540199977,45.42022280729019,44.021262651146515,42.35043970720719,43.20933178926432,43.4797548566028,47.23847573959654,47.97079057935628,47.96033807743851,48.415964695929425,51.23291569105769,52.77064894509731,58.868573258927526,56.54189874213213,55.46394709338954,59.7200310636247,60.85706821645629,61.63627485569329,62.01128616732208,65.43302173013174,65.14243481471134,63.01936135490986,68.22127172577294,69.14025224338833,66.70483208640593,67.50496793895786,62.75782632817225,66.82044455099359,68.22622051738169,64.14370960530384,63.32146419427208,67.19103062924958,68.33496761852076,62.89448647056755,61.295111419670384,57.855194417954,59.82157263295851,59.54070111525842,55.899518821691224,51.615263907202646,47.97744671510996,44.928279136746326,41.029709240692874,40.42386647017179,40.09394480957891,41.82014624770567,46.639402139738294,46.104820844338235,50.98482057693453,52.856016878863315,53.94851815561797,55.33787206054051,58.34968079610893,57.24048030384632,59.39007396767284,56.43423109198253,59.38942666673773,57.3799420345933,54.118939753445595,54.745605235963176,53.30404240098192,52.05983737855752,51.70811577741229,48.460801377712755,48.549126654225155,44.64560786487423,42.519963460747306,39.404374467534694,36.619526629827135,34.27450295244278,38.13865693843308,37.050050131479,37.44622690959839,42.41763901431109,43.683117126676215,47.203963379836495,47.48644554856244,52.86556158991898,49.728212419609775,52.56329134680893,53.728749030893376,50.11502344158824,48.01507971664511,44.151308282707134,44.33010574443391,39.85092307710008,41.76755848314576,39.600383254012556,41.13970166101756,42.70129412078483,45.031988022971746,45.855787209325435,42.425688159591076,40.15211044345998,37.90777309953856,38.81416587724655,37.70430079786456,36.42788234758886,41.354908533504044,40.7158348087062,44.618913627717305,47.59253076522758,51.40026381101543,52.7487561443476,56.393129186927816,58.01410925484259,56.95231192699909,54.76814403339069,50.63170459662447,50.80240218947022,48.27375989103886,46.27065926570681,48.12202442867716,50.04713979132171,53.07166273555382,50.11433325037144,48.60371084373403,50.802972584752936,47.48135615886815,45.62964301092751,43.54622746428132,43.55526381356216,39.34712475333966,40.3365436631599,35.96159829636691,37.96250141070692,33.30358562923618,34.410250956215705,38.147923453700486,38.610114774431764,41.795427758200795,42.77687056528983,45.96840406644178,48.297610644386296,49.17991148020378,50.59375619415605,53.83112940931276,56.5896738859694,56.1011431291967,58.729546825492314,61.501741829011046,59.54582615092308,55.824948602613574,55.31484256847932,52.57494527214661,54.318512240443525,53.91868471979511,52.94590591908168,52.25906290852258,48.96131621948801,53.370832260422425,55.35228902824805,56.77377704867432,57.85738489345228,54.00270558555092,59.528533758981816,62.671001300896386,60.23938205388022,62.0284653105145,59.90743362150986,65.17616412778906,64.07237891080784,66.22323895435319,67.01369377990612,64.2648339876934,64.38710046163685,62.186658651788,62.07761749987563,62.13111442732631,57.84949651204845,57.88918157997905,55.00725197798039,52.4238631601604,54.92133530278809,52.33901217352775,48.967804594024166,50.526171839362156,52.01795916456295,47.44842407663311,45.976954070078406,48.763436337919586,48.69561307631122,43.056698942558455,43.97960789174081,45.71495082218246,42.01952307758224,39.66667904173068,42.94696935029257,44.49368435093247,47.95372047443844,50.258954661545545,50.88353219266281,53.0801753243665,58.39347557691785,60.80273003104936,63.369540977338474,63.41860968414387,63.2367295175563,65.71777126191662,63.49088568099337,68.00215544296823,67.12012651559387,61.37761898008518,64.14429096838695,67.8936850719072,63.967185045377825,62.02291443041464,65.65130967212964,65.61041064872337,61.3154939701794,60.8886558317179,57.25263368351247,58.93604989664035,61.53554135528767,59.78005627305849,60.7630048949857,61.67987634129242,58.85772828601064,56.6757385994979,57.11336014301859,55.782191475484424,51.990989783377444,51.963984761521516,51.98881295002381,49.07566854691068,47.597196873787915,51.51780461271705,49.915701615945636,45.27231576126712,48.09048875780948,51.732832899609924,52.34055860571756,55.798385953581764,55.92912315417293,59.96107138186692,57.830311779099006,53.361788532926575,57.7178788668839,59.01511135397577,55.72530558808651,55.568934649688586,61.294452868397975,59.52611642113344,54.95247846306249,58.12777835154379,62.282754525640264,59.78167667180079,56.15888645527545,51.39516404223816,54.47929561186649,49.93787856308221,49.742239315695294,45.05099807788503,45.71981425742215,41.299830982300584,41.09637122250818,44.14325364530288,47.096632985638664,48.57544872297372,50.47636636482579,46.53770645398364,49.330068293210836,45.49255867566945,41.58289221582366,43.35726804366346,42.26636919194459,40.12843543913425,39.460336483035654,37.785292487161435,35.426825941155165,34.957874615647114,31.562476917439998,30.374221292787084,29.502666337660244,31.038599517881206,30.517738191969684,31.403384439002675],[30.440939289453297,32.010117909867596,35.05402376550158,32.916717993819404,37.83568612661601,32.50690919228824,33.52936402033181,34.18800039508092,30.24086323904052,31.75723199638765,30.675178022344518,32.36274890814181,35.78431326019875,32.475622071841784,34.80930990753491,37.93622790954996,38.99961463818566,41.68399324652979,44.19219489040377,47.7983374067391,50.341269889885226,54.92775718494391,55.16260519584157,55.382167969881976,53.56004433111944,49.0544601446497,48.45183693009539,44.53744626632177,43.77735455320115,42.82372990870253,41.3593973075623,42.6034828097924,43.2551299206624,46.85161704844933,47.29199017951435,46.820131958945765,47.49967994045133,49.73819062185237,51.037586821187666,57.28730575218215,54.488199827671146,53.485065288423435,57.83091857464238,58.68487870551031,59.17767117216299,59.449504297186714,62.78622377984959,62.77028415705923,60.76513795459749,65.87450033600334,67.06446614951047,64.7802181588574,65.76460345259268,61.05705968833861,65.4429518253393,66.67501082204481,62.51667729433458,62.02153388121943,65.92459793213494,66.72007958447955,61.25669018458116,59.89964341154435,56.63195660835591,58.25239023393553,57.79160493432326,54.29592192699367,49.7464163786519,46.34919523063206,42.910711229946386,39.28222505941392,38.30929541332103,37.943707188215214,40.1362577400124,44.85707877786317,44.75738254748181,49.91158688525866,51.66576131625173,53.175969849666416,54.43748523297427,57.284140667926415,56.36760864450434,58.28348087576673,55.63410455854658,58.33295086009253,55.99333606348898,52.93441471601404,53.431437312297064,52.46102784008871,50.894979825564,51.090395067708826,47.61839823079016,47.84994848469958,44.027830554446936,42.14559738104954,38.787812824613084,36.21051317132411,33.55275064008025,37.89597163452091,36.83957734754901,37.86413033782588,42.30434607424551,43.68918440544483,46.7977187665829,47.05363115275591,52.18565686240262,48.84100714423673,51.85089553602977,52.68557926586499,48.97368438903031,47.17293152863958,43.0398504780248,42.98463529357838,38.42327574942499,39.91074671837806,37.66691896043952,38.780571669163095,40.38356948441047,42.316430180474484,43.2501204658151,40.199318554140284,37.64053734444155,35.538245816173315,36.058849272468684,35.228005036327644,34.27148628897785,39.162392688410094,39.01487424774837,42.877415393288366,46.00280960540984,49.991081637124566,50.999181573259555,54.89778039153478,56.27271643653623,55.556057305267466,52.90491372381865,48.696928592193316,48.559747827694366,45.808141936892895,43.56829943702468,45.689618247472936,47.14966422915545,50.2537236366923,47.54073141395305,46.197233609204986,48.64043449652061,45.639918447799005,43.675498847393506,41.98541650195841,42.233736379476944,38.190996478867376,39.628511859818865,35.57188523231113,38.165523748340426,33.991185501449834,34.92693005718167,38.317934104045094,38.24563519907831,41.37810006858583,42.01414530057471,45.014074350463,46.77769577558058,47.67406288230847,48.557162726697314,52.04149997048733,54.5073399119281,53.60234945238981,56.42213891725309,58.934120144215925,57.00284151644273,53.20930659265497,52.97019046915126,50.293031340447385,52.411770398610145,52.32255762763329,51.62147580965726,51.322707834678766,48.045294720864874,52.785928172434495,54.31550416201552,55.83522533279601,56.45047623937373,52.77635842027822,58.13454828050549,61.11163215230877,58.49730663442821,60.2551326629888,58.07078777104294,63.19763672620708,61.68986951782232,64.02355511843047,64.75157866715354,62.19635210818172,62.279418983504314,60.138240301470525,60.10734683134423,60.1458969629307,55.77135078512045,56.1138804109721,53.279304339943465,51.007073867738434,53.69505078892067,51.433890759363464,47.833049572629754,49.22768666425899,51.11468533570905,46.66766657823332,44.66136345182924,47.752507460875385,48.24803133229096,42.35950132497047,43.13288974479926,45.24168626828713,41.78036098757867,39.01165215190542,42.35052924101666,43.53724459910706,47.40854475701659,48.947511101947285,49.79931944576779,52.318400179697,57.524753514902116,60.15805575713076,62.596195403854374,62.840050223781226,62.49228293724201,65.03201158615194,62.782464260537836,67.11769310549148,66.11955772163321,60.24632494830063,63.00240863585865,66.53249447005031,62.46887118171646,60.49361127270983,64.01118680755832,63.747555507447565,59.42593715556697,58.93984032176897,55.60467062841402,57.56476913343762,60.336555570652045,58.909240863564975,60.12017774797953,61.41024216292183,58.532979941430796,56.03736820201345,56.84139833688898,55.78675402915571,51.71293598850401,51.62598022508552,52.106760160880874,49.31672877388036,47.508925874622584,51.61174023553103,50.360001016864814,45.622886846835954,48.16696399350872,51.931194819590665,52.18657404210858,55.62942487356089,55.57908560307248,59.500727378583484,57.38142643833653,52.65695948690953,56.881302704241534,58.08893766318229,54.71744462803817,54.28839819515336,60.01754826498988,58.142702839757476,53.38830126087865,56.42486536473125,60.596753189176866,57.99592044904748,54.25403895364982,49.47223131538397,52.375910729355844,47.726241754871424,47.98335678392248,43.19642323406962,44.17755103819596,39.902026946905735,39.17260166350888,42.12186567757236,44.852998858371414,46.35262176365531,48.63986224943239,44.74475999827243,47.66610737513152,43.76415523990834,40.20310017378688,42.43285063789646,41.72182717232123,39.645033902846336,38.45424751602077,36.96694463086982,35.082027976432975,34.07715776301148,30.736853682338758,30.2158730259957,29.65571042947637,31.408779704687706,31.250559911174914,32.358355169580044],[27.423551832918495,29.184475101017583,32.4318886961412,30.667843122756647,36.0542589028499,31.12236067894069,32.72624805046591,33.83216527393885,30.277039835537103,32.182928553763425,31.66585709079801,33.47147809019976,36.670316879864444,33.489376590965264,36.415591525212406,39.403291787412904,40.10255963045725,43.17020399276257,45.62926724410458,49.178339487016075,51.840051836657786,56.35400950770693,56.61505382260095,56.557906895376256,54.59726305630092,50.10420697837912,49.31896452557954,45.37053475482544,44.93091891845872,44.02339209462362,43.31877101288737,44.21485055598397,45.31457277844845,49.09064926997746,49.12069202643947,48.45572094285966,48.81567648649238,50.86552958216876,51.858791952982294,58.07488261881571,55.10756936356418,54.546598652355584,58.96971877587538,59.523519970863404,59.878790602774835,59.83773409546635,63.17822963886655,63.43706695733607,61.210423420497804,66.18940760427375,67.59657292854367,65.38623127103709,66.64411184973179,61.883599921683306,66.51984596537379,67.90812957589932,63.77066471623055,63.455092717376296,67.52227858488196,68.2133449622058,62.8648656372307,61.87719872112635,58.77525623466853,60.4084926538068,59.623696320806566,56.058044377472044,51.644239861950076,48.27560934381008,44.79823856012148,41.31160862799361,40.24197671811781,40.23711398887006,42.57675840128732,47.22024279843279,47.08088190873877,52.54385241645537,53.86982260965365,55.60053755870017,56.518214201318834,59.0982450903268,57.93676444392988,59.472405240186475,56.69581516961706,59.068769495095864,56.60623122807877,53.86458491256137,54.70079751493574,53.94724176247329,52.63264133683264,53.26025071961948,49.906241618392635,50.561680088615525,46.678802934236174,44.6779925626017,40.98322502342681,38.741473340161235,35.68603964512924,39.83699754066652,38.381969312245445,39.23966027958969,43.634255212692025,44.42256564410546,47.65162683348039,47.3154154065154,52.219458305783235,48.49547296971683,51.24677075164943,51.768875427733676,47.82143389073133,46.383094329986164,42.04878747329013,42.422947258673126,38.014155312497486,39.5735694680024,37.86550224886126,38.79568555953949,40.86363884728539,42.58425610898837,44.16814569138693,41.30311118643476,38.51546422480135,36.19947704847066,36.102425568311375,35.068807628581666,33.853131649416014,38.402400229315006,37.88193957217688,41.92448946270858,44.92814646021107,49.203267659163494,49.69439030212691,53.648867117430015,55.19967085250774,54.84004861356205,52.023325310478384,47.94759013702647,47.2862048164779,44.8948692965788,42.817909622115494,45.293458225008834,46.796895255101646,50.278500385832345,47.875875460177255,46.34917277707126,49.00831131009929,46.23102613870643,43.981970627298786,42.34659611875339,42.3417301548108,38.28146695710644,39.507617587162926,35.75296170081645,38.42102620768471,34.41862454289252,35.87649384677187,39.13477871182984,39.00560050202898,41.751181358813945,42.67799826562939,45.0743154443251,46.73379752228086,48.13032694290829,48.59640991051591,52.34743162210196,54.37749225669261,53.161656217721315,55.77207813974704,58.11813838152375,55.89261866362527,52.22267673359991,52.04904833252733,49.68952591471838,52.10425211341552,52.26395204449971,51.876445371586236,51.687652577158204,48.757250094264194,53.55996413926313,54.904216061012995,56.207287173747964,56.53648159089565,52.585410711871674,57.76697313914125,60.68114278702152,58.11180236501075,60.282955716033655,58.38990253037575,63.368163965081024,61.67054892377607,63.7979612350534,64.25377750665123,61.714992048499255,61.44400042024291,59.12861097823322,58.902765929747126,58.63667566561782,54.16699076299223,54.42536588647209,51.334349961453015,49.34886869878854,51.73777712372507,49.738855274232364,46.12450490016166,47.0317366358372,48.94834187346104,44.67576243547979,42.24553948460143,45.20247882548009,46.00196586077707,40.0145661553589,40.41544241927139,42.53507345314371,39.3766969443548,36.24186839168443,39.25747328622624,40.39180244424248,44.27542209616848,45.56699906141526,46.74372407728405,49.27342005138558,54.47352761572729,56.94848977596439,59.54768691286488,60.13918805962201,59.96451052168554,62.7100816225053,60.74776151525025,64.98787661176394,63.680602136343545,57.92494317550061,60.923573565866405,64.19296418902985,59.97061139765976,58.2477504143952,61.88410451041527,61.23171689762893,56.87079176757669,56.857196951508314,53.41359452453077,55.87420445004772,58.566401365006705,57.07200871977849,58.61038133914383,59.91892303993645,57.340858791572764,54.56129925637439,55.17718500161733,54.48637722421407,50.38793662316045,49.87548526568373,50.47347946239818,47.81571786578371,45.66934267551433,49.592691113228994,48.496280724313564,43.70620124367822,45.84228326143738,49.563675423819575,49.69349911107919,53.29215917291723,53.45618244770263,57.20869886518721,54.78236629277045,50.147160986927275,54.48933089742582,55.358019404126026,51.891994496671074,51.683342689930676,57.25986346622105,55.05431194519111,50.41232937092168,53.6704798484652,57.58509088226708,54.729008873984355,51.0540353887615,46.299831853945015,48.87747777129687,44.18623651738435,44.407881974168966,39.84349936126819,41.18786043391642,37.15407610206252,36.122017284105745,39.21246292711261,41.765060558371175,43.56225329636804,46.03002465537953,42.562871575459,45.81552349614473,42.19060305470457,38.25659883130859,40.86404667378223,40.069739362440686,38.639728979756725,37.06026941940717,35.09726345524995,33.65647236811886,33.0132471675462,28.943290288945782,28.864405924121453,28.929762142154445,31.036405640167,31.07203477249589,32.079994352429196],[27.63267000928005,28.862702929905435,32.09406706788544,29.28185520517148,34.58740676142935,30.035286614805138,31.277075821349804,32.869782192153,29.044836004049195,30.29994220945087,29.960155279932152,32.36396826138994,34.85184873385569,31.204057749334858,34.365704798659024,37.46094482827189,37.643415228336096,40.52050443248674,42.46921604116547,46.26663120678887,48.652429354541034,53.21497370577482,53.20277863058689,52.950111364756786,51.21884022858309,46.724287760234375,46.24127358036429,42.479209192291165,42.41628706595661,41.99172722908103,41.27571594562576,42.678493806121956,44.015656603440036,47.505787473666835,47.35741629074747,46.272904339620396,46.975604009334084,48.43905603406476,49.2689689722153,55.600151479100006,52.20889399680202,51.5829848637744,56.03710871637304,56.38741810720878,56.479077552186006,56.43697251659189,59.662916460834445,60.11916888933061,58.1157382407271,63.013006309875365,64.62196501703961,62.55222932668922,63.89807121353863,59.2346928467134,64.09349952378804,65.23251635319046,61.04004245834472,61.012746652429584,65.02821169196066,65.38488327356903,60.01473656137458,59.17605364961926,56.232730069552076,57.492112601954695,56.619101960956456,53.257097169237426,48.5770056712534,45.493119121047236,41.67097164053139,38.488858584564966,37.078593664416225,36.95759919286141,39.69791459161358,44.183283347830795,44.50110636707667,50.092175946992626,51.395396032773824,53.47723422062912,54.35253663556212,56.81550132132213,55.94994712769365,57.35261163276686,54.97851562580849,57.17310347099802,54.42087640399479,51.80991344719668,52.377513361835355,52.062939080650864,50.33787607256836,51.40010958469243,47.819407658319044,48.498321571078385,44.77187570563888,43.0890370980044,39.31007383209862,37.23670046897852,34.04796675591572,38.662495005589605,37.41079638698738,38.983383304665246,42.73837176949145,43.876734449850375,46.55395538047294,46.43302378936307,51.09308981789519,47.34742075881747,50.379769018943406,50.66382584697631,46.76114920609859,45.51622333764094,41.03170087665536,40.93679071735086,36.45065223226583,37.45461497587153,35.48481964857241,35.97960545005198,37.895769452599296,39.22143438246246,40.69627821120899,38.22880317149718,35.246257119843094,33.19989645818708,32.870662600611816,32.25192550353012,31.53546133895751,36.08724891908717,36.312419024698144,40.161019908652186,43.35284262080869,47.649881266313244,47.97916998935042,52.15880563568621,53.33303316116227,53.2075405362354,49.96216379096693,45.79173074460084,45.01557864546333,42.23602070476856,39.84441049584151,42.45703775891518,43.406582168161904,46.80526868735443,44.58362219667596,43.322769663166,46.14181864320988,43.67275725425493,41.43357281005145,40.243987579575496,40.60579354234069,36.8180042939635,38.61399894781339,35.17697131705312,38.410747654235884,34.96951969447108,35.977727593483166,38.83359144424441,38.14504166892639,40.93233191423178,41.3425122775356,43.72666984197886,44.76872643968275,45.967064770159496,45.99672672296834,49.878744946331324,51.73513299946828,50.19392295958196,53.08169920795802,55.19362922463843,53.13598903013743,49.35513046375887,49.46024290491278,47.0591068597162,49.75040669799034,50.15325262379111,49.946886290002176,50.14628094068216,47.140011191204664,52.22142963354989,53.1285094624384,54.61241498451026,54.535062083672955,50.939862769697086,55.95801982632324,58.69043282633864,55.91952547152993,57.87031950027748,55.808152752152594,60.65106226484709,58.60160989015406,60.99561049725667,61.49545332027485,59.17314374544504,59.012353462508976,56.85684331725218,56.8055501249695,56.665703495256494,52.171999119211776,52.81773298223394,49.93909739029686,48.19494765415033,50.93162449282931,49.1963002561574,45.36725237536445,46.3210686831253,48.665882496774756,44.5049174542805,41.70244619714601,45.054201740252694,46.34633292986661,40.218760090994635,40.642783598717934,43.1731193833648,40.18188146812596,36.8265428425001,40.042321447401,40.74129736952867,45.05745051289325,45.54218124150668,46.780534681225696,49.6628592189955,54.677404427689,57.49285713810445,59.81553637585457,60.42637827328367,59.95519248135279,62.631414134077986,60.5016497732228,64.55465121444216,63.290101981020335,57.36290796793702,60.194857879412545,63.32635538975537,59.058692796401715,57.17774148829537,60.598218206490515,59.89802069181872,55.55583993984063,55.227001747662065,52.21747958312873,54.7220716196731,57.62982725440283,56.56584854136016,58.185628983787595,59.90455465954061,57.134751640276114,54.1642954828401,55.29670508782431,54.74482727506278,50.37844404116463,50.02410792845752,51.08641409527827,48.53773641360663,46.2206786445877,50.40173845698799,49.64824668185637,44.85241233929752,46.861587378515175,50.69961646443796,50.47870657708718,53.92353541839,53.749846463852755,57.42723332510703,55.21575878997364,50.27714128015259,54.34674755927342,55.29276779508435,51.82092411553489,51.16266823686112,56.77650514295858,54.6570198551803,49.77832602448214,52.71335958456908,56.76214705123613,53.96108523466462,50.13780295322756,45.395748804156,47.92442456084889,43.18260304146328,43.97259132128378,39.22028879866043,40.71032014299122,36.78915880332083,35.30310626854309,38.13593923551959,40.479498051433254,42.11012343996113,44.912315845488706,41.31608925789485,44.51005656379947,40.725533259971556,37.457382601342935,40.36391065081512,40.0744090100205,38.42483337262482,36.4554931466352,35.00027356048353,33.930847498194304,32.501621490862654,28.985419859065303,29.498231791255456,29.612379402719228,31.701011601888528,32.03963722546553,33.297542227485266],[25.47119794119334,26.94994916571755,30.358415594027903,28.128968898445944,33.87789214309388,29.775604482910907,31.642587100305576,33.56941437211989,30.241839237568033,31.949032734819674,32.09538795771442,34.4416786831067,36.82825632789733,33.445205620369535,37.028192525901964,39.93995467145047,39.89179677986833,43.11151762806014,45.08416343130353,48.74929734603555,51.26808619441166,55.723141867935134,55.77965193994219,55.306006459515245,53.42313576601893,48.978490147435956,48.28190557844642,44.495374190540915,44.6634109424129,44.196933330855884,44.15627817231696,45.14599676815471,46.808402321348574,50.48076597818977,50.017703831672286,48.85263607854004,49.201058959244136,50.58930164786306,51.15885249799255,57.39403350884687,53.937407200492814,53.740549047498725,58.23020847702523,58.33281236196092,58.33253447656417,57.98657289833536,61.21623643976691,61.910869016272166,59.66909960557419,64.42690460748416,66.20744129388171,64.19333244518823,65.78052656647726,61.071699018296954,66.10191288127133,67.4173318307098,63.26917436812154,63.35424996049681,67.51009767577828,67.82639308337068,62.593114390456314,62.06274438113145,59.25322505783014,60.58272079793571,59.44371409396592,56.0066157162781,51.52797256974251,48.444557683467146,44.68770532962592,41.60993633254454,40.19737073898451,40.40447102093514,43.16370580563133,47.568047194302075,47.76518148544083,53.54848005032333,54.48568495668094,56.67779347947821,57.26041126609083,59.49712949636255,58.365220075855945,59.44057530651672,56.89470388618568,58.8087042755261,56.01022229973895,53.68813632101506,54.60804818977556,54.41047798015219,52.99647835385072,54.34465036740209,50.932775528381754,51.95741480069077,48.17536969170162,46.34302707120783,42.33634789114099,40.52522757366407,37.0756481856251,41.378796636815636,39.76255316737662,41.02866028934609,44.83424100496358,45.3651704212441,48.22895165231971,47.52786401872151,51.977387669517356,47.90621364937238,50.61646249107152,50.62941536031377,46.51722683116776,45.61362002511839,40.998110080210346,41.40313792992257,37.13788923429128,38.28663754378849,36.90888178695526,37.289088262696794,39.649895939999546,40.815459568985794,42.90474548414465,40.57873255725245,37.462555759430934,35.206862218616564,34.32388347300972,33.451935390298694,32.4138569855589,36.544900659004924,36.27664613049032,40.28876030872617,43.296523117159055,47.837576164616145,47.66807038349764,51.84059661614556,53.24095732335481,53.436698924661485,50.116014853595544,46.126399007548386,44.83848901935658,42.51285687074144,40.35775303135997,43.27479319383065,44.33742851218154,48.09405578278771,46.169433482227376,44.70373075328718,47.67671656378669,45.39394381093764,42.908379387437776,41.71043036427773,41.76601055130832,37.965411380529545,39.43813576418668,36.275260336220654,39.42839487118396,36.08530179651019,37.62326698908083,40.40462450977815,39.78147473374799,42.17553010718801,42.941886107586065,44.7414728085671,45.77589908512487,47.47202783839925,47.17520381648436,51.25859386090449,52.71349067680921,50.921807320422054,53.53877733680547,55.5040586107613,53.13499402809078,49.52196381218932,49.654659390117885,47.599532248257546,50.52066738237688,51.122394620091804,51.18762052608482,51.42244261748974,48.77694975636381,53.82654111920565,54.633841808587356,55.873474665259074,55.59512058360524,51.69906631139725,56.53771734230431,59.221882745052035,56.54270179423982,58.91763089280281,57.175317259049976,61.869655946857264,59.69915568361507,61.83909463577426,62.06127249471574,59.733834425857935,59.20742820253357,56.864630001078815,56.59109515642267,56.12460617805189,51.565084816628506,52.06451629436228,48.90522353552488,47.43797474822103,49.795842503429874,48.30432319708502,44.52186084491468,44.950206346754655,47.250306820692764,43.28750433113969,40.10786209092448,43.237330682550756,44.77446622718476,38.61533089294857,38.62963429874679,41.096477187894685,38.43407663056728,34.745668797818034,37.54729190250789,38.23297643009026,42.48187509838855,42.785825502755024,44.375419544753264,47.20778671772189,52.217116840136875,54.804854202654944,57.33246547911531,58.30689012585429,58.06154041047428,60.95245337011762,59.152809292004704,63.12042005259797,61.53311423716287,55.776698720582885,58.87405303049233,61.74258044348724,57.32793468135376,55.743156657630344,59.3051242992654,58.20280002502441,53.832268358638835,54.051669353474566,50.88311213559974,53.89055848229061,56.6707975239072,55.4782686828926,57.40963086571523,59.07342814830305,56.645360165988656,53.44110091718367,54.29647706788075,54.08806043217002,49.7700480296822,48.96496405698593,50.06555666284457,47.65107726003989,45.03898419568711,48.96463702941934,48.320730899981065,43.51441908408381,45.1050716997856,48.853472695970936,48.55496013879355,52.16367511225638,52.26297682521112,55.75702381136705,53.204325960328525,48.430795430285514,52.640693734198614,53.21169370541121,49.65563480311901,49.29893521202533,54.71775131066559,52.23477005043326,47.53018170540037,50.73750471045053,54.47264048302667,51.388820075105066,47.67178734699866,42.97959543248585,45.12674364250694,40.35568026338208,41.043710551850005,36.59779488050662,38.480194419786734,34.85020946674776,33.08311452424053,36.08274249120379,38.22854550569699,40.20918684279233,43.15541717870498,40.06902960163553,43.60100013367471,40.16539603980982,36.44802162169272,39.674915082771676,39.22939013934683,38.286329339054724,36.012170085416955,34.01375687865941,33.36393670856413,32.44074502112072,28.16660371054589,29.043415193662884,29.75538935934669,32.1105494418543,32.56976359629172,33.65862718899585],[21.405614478284182,23.06137061943022,26.438024791244636,24.71757479644686,30.443564628942536,26.06116438831142,28.178649628614227,29.881375303657265,26.82773472237768,29.042081552568835,29.286927847172596,31.29866297326832,33.986429482948594,31.031307765622373,34.669912512374964,37.399397937971635,37.57573476951423,41.093213649465866,43.49898582330295,46.869911181315246,49.69683091746897,54.04162697314736,54.39721141369355,54.022842230726916,51.84021168541862,47.42485908461958,46.35803453485491,42.40874208264735,42.37051754239992,41.5594429420454,41.899334188107325,42.360708993880195,44.10351310881518,48.02032087658681,47.4459289493114,46.48649196894386,46.445322793771666,48.17678061586119,48.76657507334091,54.870544275912266,51.74168732012631,51.74886618738472,56.22180019129555,56.41480461667638,56.6446420312407,56.22167439848662,59.57286975760162,60.119945855704344,57.597795317010664,62.39759883951754,64.02560926227918,61.90192874983961,63.484635172692194,58.69547300459597,63.60964113162403,65.17841662276321,61.10297024184449,61.02425240268399,65.27461618547332,65.82962644917357,60.68955661393047,60.21887382675401,57.38162319650255,59.05435259158551,57.815399603819415,54.16856801135202,50.045794200764064,46.729591602353686,43.31846976549231,40.06277253805652,38.94273669179673,39.525455091777594,41.93288868125239,46.39378148182121,46.12359135921627,51.96399771699188,52.62291891631687,54.660456378740534,55.06161462015877,57.231652684421675,55.76967297810227,56.7767258997223,53.919999197108275,55.839036291332924,53.217791678584966,50.908459454409176,52.14955303824957,51.72896543208474,50.73810460079207,51.995622903473546,48.84246913718373,50.12934585412224,46.221555965028365,44.10933870385658,39.985998884418194,38.31034221538054,34.74131426977506,38.59548084353626,36.683556301494704,37.5379014205073,41.56849778275713,41.701027650436494,44.8586768333936,43.87213893816311,48.379451153001334,44.269743844640296,46.7981081860915,46.9245732896101,42.78547605554212,41.78347608608343,37.24435399793725,37.956867736536324,33.774474262601245,35.31511108613966,34.255199799390795,34.96150954831307,37.55739377736328,39.054387115322875,41.444439197375154,38.79934956490459,35.818582154850404,33.24261555231516,32.426057121214136,31.118310329230077,29.617202740477296,33.69296059435418,32.86842764360931,37.00342011989275,39.879607260013586,44.40798643331821,44.3598092661852,48.37811923683107,50.0254224762647,50.0578857070839,47.03957480276761,43.12609534743234,41.95029994730047,39.939141889822224,38.08272765617794,40.874282345952786,42.49545114561544,46.370041259095856,44.31859954022741,42.55555149912817,45.413229037986326,42.93324131342178,40.376651152373306,38.85339740609596,38.59146294763662,34.634302878954735,35.73143250460973,32.512584804350354,35.440642524098344,32.00689002643912,33.85722444753578,36.70351801505989,36.31185908720714,38.54156136028738,39.66897083580464,41.30148944178537,42.71115814735614,44.65494304617912,44.61154581915946,48.624974931076416,50.147205313507484,48.620644057198945,50.97581962993115,53.15891267199052,50.65484513689189,47.13728087790742,47.00940271478514,44.992047915323795,47.69721231782066,48.14419471359914,48.139843865242256,48.14465071410046,45.65586025139435,50.5340098343311,51.553300349604385,52.61842625701899,52.55404768795939,48.376734307429544,53.29650350989054,56.10008069301775,53.57665122682326,56.166538303323534,54.618438119971685,59.38377218064391,57.51753142760122,59.38496266486343,59.555640618136,57.040843976561135,56.4188051367144,53.95432064345528,53.55781259752539,53.03426495022742,48.50813150716445,48.73783568115043,45.482992469914116,43.80434205327822,46.01922577386145,44.342043059653484,40.66283471630108,41.16447945052278,43.24947606480907,39.18485803212994,36.27551995435718,39.271662360360175,40.53048266081934,34.41601474306471,34.54123726163148,36.87956482688388,34.05884279244791,30.528077405728755,33.437525687138375,34.29806088122768,38.42894536861889,39.18666847926813,40.556375030901414,43.25854968739978,48.36460084404529,50.92777790709442,53.4725140654315,54.28368511624466,54.08589127045891,56.94630226683981,55.139238360298584,59.22609323160742,57.7090151554423,51.982984645158545,55.1071039302177,58.13731241138119,53.795496594603556,52.21397689537171,55.886525399456836,54.952802684175225,50.57271918656297,50.84261995122159,47.40234745519394,50.27208255783022,52.94650665591873,51.53710221872638,53.388645132422766,54.87723141639511,52.507608917617944,49.39779815830178,50.06094111311538,49.775614164815835,45.54905519439767,44.716009718485616,45.6564881468886,43.19813381978108,40.656011455759526,44.551188888319906,43.80667247738718,38.99318934848885,40.69362661057073,44.44657987940715,44.26305103694813,47.882235046867976,48.03579383554334,51.61097740197734,49.07195511958037,44.35746860134974,48.65919229920077,49.32280919697008,45.7959592985113,45.56262280361821,51.04685958451117,48.68038643281925,44.02332434977207,47.32499489127804,51.125924941209014,48.158272031393565,44.47752578673063,39.73831568893489,42.179747338741535,37.46300525665943,37.80633454710373,33.26856114024666,34.846271798003244,31.016880044033385,29.654250851683365,32.76375889221003,35.1825399506151,37.1194955047413,39.75207237328272,36.58727246267975,40.08767684160588,36.70703000149764,32.62960869234939,35.66529581718509,35.00524513898534,34.14580356325007,32.037960089037995,29.835052164809603,29.024330511348165,28.43142909431763,23.892433573039327,24.576074277872703,25.360947170377912,27.78447968266146,28.245110468105626,29.309311105768074],[23.1280429779466,24.45827332720627,27.615844979650607,25.229230019162372,30.47854847202539,25.612022040870368,27.077902665947235,28.448450154490946,24.8620359117891,26.66852646817197,26.450098027657674,28.527968069027672,31.3457921625321,28.142605442004665,31.42753333545178,34.33396343280691,34.73989227127478,37.98920780126597,40.42792673568142,43.9032030518043,46.64864157889622,51.09357150777494,51.416498356970784,51.25297857907329,49.17151173059519,44.701210684691915,43.792894387767646,39.83611580557369,39.566234264176174,38.766000068905676,38.51993595455017,39.3260504048617,40.79586188819696,44.58101077714404,44.27357055891316,43.39180290238107,43.65152381315237,45.478275036619245,46.3137065423312,52.51879099670244,49.46300109074618,49.08745059702594,53.536741166978885,53.96525322433659,54.29814586718009,54.15116826128001,57.51296876377096,57.8295081748942,55.50678065427031,60.452322624825904,61.91201719718857,59.722982164312754,61.08646101372585,56.31964986713446,61.081099734475245,62.50792116872754,58.39104216211514,58.196609113395226,62.336497932732726,62.945299777352425,57.67688665570074,56.93508075618219,53.97068942413601,55.61377483848153,54.59786519730153,50.988956484161015,46.70900013464924,43.356587610798094,39.90943589726823,36.525784734960446,35.43847052007762,35.78981677733669,38.143682910705095,42.697412811358035,42.480794557100864,48.18422066337967,49.13595733644591,51.075027310367076,51.71925062127234,54.09178067596691,52.84661382545868,54.15007267120489,51.43189809762374,53.616084272854664,51.03882639627558,48.45240367975253,49.38878759689128,48.848632534906606,47.597063915029324,48.60336972190089,45.305257605216774,46.32211312460422,42.43627053203127,40.4244027977123,36.46293232528443,34.56169353520717,31.176397588988635,35.31788072935876,33.712037899247825,34.86728856283126,38.86263953505061,39.567470275356364,42.554973592485375,42.11886333217512,46.84653835710833,43.041562042807485,45.896632133282566,46.29003474633958,42.35852282959911,41.01353775753801,36.59288673066401,36.79901408684973,32.37770371293079,33.793579418114504,32.160193118681754,33.00651344003351,35.20781377291039,36.896569275193464,38.74959065048006,35.92756358248388,33.069456261571666,30.639708864876138,30.355957207870656,29.248509472058252,28.02518649141653,32.54443276370572,32.20147231679046,36.18739295950958,39.256441897787795,43.546998508102426,44.00142333841776,48.029954969811214,49.45508542567596,49.16598986714613,46.22344068973218,42.125508250201804,41.462521930015896,39.00707306893832,36.92930022644544,39.421771175896126,40.97761248033897,44.530950454218456,42.18010267292046,40.58093131694903,43.2925926222748,40.61273939828451,38.27539257915588,36.7328555892711,36.754414424307924,32.78491613125256,34.208914691124114,30.70173036943287,33.74574428881624,30.22239123773651,31.54697950495495,34.46977179550733,34.00090441259067,36.62255723206809,37.41174202637235,39.61430868412106,41.0436731126044,42.525516752269546,42.80929591846567,46.638766934028354,48.55366916301409,47.28470028487623,49.88858259686066,52.23053287810544,50.020694458877834,46.33825211545425,46.169534098664485,43.809655650382,46.285963718627784,46.53428193229417,46.265864283700225,46.23217114034148,43.394204008654334,48.320326939250535,49.43887873479305,50.73358215595941,50.86511191083697,46.96312904703755,52.069135620419466,54.92705658451079,52.31460053903778,54.51008923491561,52.664847704382574,57.58876791533791,55.84964554319952,57.9448382922638,58.37691501089667,55.854142810460324,55.5845906701842,53.2957181821242,53.115894084402825,52.91776850030009,48.45583303155138,48.8305381446945,45.86218036206808,43.900903983913395,46.51152400275234,44.58948514429035,40.856930699509746,41.906075446855034,44.048284236526364,39.7863256179378,37.26580643827164,40.50498990961018,41.52543352081677,35.45365397580206,36.017799473148806,38.43712085218787,35.28673715855327,32.119165316052495,35.47176619792736,36.31338088154856,40.52197868927939,41.42063921256442,42.41591626400275,45.179624857649145,50.26608147337033,53.086812922545114,55.391701122611096,55.81993543157956,55.37652777985686,58.00908893561255,55.85859050224329,60.02484812258219,58.84030758353935,52.939902361585915,55.78506879263015,59.07928789676725,54.89088561820407,53.00282287124516,56.525707290066244,56.00413640755824,51.659342386741706,51.36418989609516,48.09148127814053,50.44577266248688,53.252666205642974,51.98394467871274,53.51924955801594,55.077917244519604,52.35414094024853,49.47555770977516,50.439541704145974,49.80955479554849,45.521701661178135,45.159704302658774,46.082421782743594,43.49237213719316,41.25096728874603,45.42245361838139,44.585755577686605,39.79203426744379,41.92206766136935,45.7665356260759,45.642944356804804,49.07423463656802,48.92662543462836,52.682332557496615,50.51320203458124,45.62176507348696,49.75732223149745,50.813335190577995,47.38235372695699,46.81756168299963,52.49566892291793,50.51528788563814,45.679569679116625,48.68102266648255,52.8053222843901,50.14116710710046,46.35236040707921,41.574523652530274,44.40846504110822,39.734431427501086,40.20716172043583,35.358313279009025,36.51826589515776,32.39878299835213,31.325325672197344,34.23482069392133,36.84737731048364,38.408203339101135,40.88985299169925,37.192052153000944,40.33879207778504,36.59470936011609,32.99436801526905,35.70038204397583,35.22241425155505,33.61484366109715,31.809256296928652,30.200157226101297,28.95535520571051,27.790756774180025,24.095508411463562,24.412755197001722,24.554061139582082,26.723443643517058,27.08951950113198,28.36346550908425],[24.79803294164404,26.471988428277168,29.461097608546257,27.814617806014848,32.76206357748698,27.34391548484395,28.73809873155842,29.3532621203772,25.784690028175874,27.926202036757175,27.188535749069747,28.633223903258003,32.22915022819093,29.381950447903403,32.081737947775835,34.96585104086473,36.04634691919353,39.2214776628303,42.1203712293328,45.40749814524497,48.31254845431678,52.74818539841906,53.28762347079727,53.44816940360524,51.2607049927222,46.794997283987556,45.741398387405624,41.6595809931214,40.87318541807521,39.62405107980596,38.94441533696882,39.50052473521495,40.501109800296426,44.43631187592708,44.517243583646994,44.116121817563624,44.26107767065449,46.70781649363313,47.864326808768105,53.97497958254551,51.39033471395861,50.80981028560338,55.17873610047464,55.955895783371204,56.589330954470945,56.62841780858064,60.07531813039493,60.06593880269233,57.69233305583176,62.77344496563833,63.933006934520684,61.580842671878216,62.70701882802927,57.89525409670006,62.312614422538346,63.85992359499812,59.78150526170866,59.23518515477188,63.32164642755991,64.27636559932931,58.968554141139855,57.892655029538474,54.70298913844551,56.658673280202954,55.90012869798981,52.16224234075792,48.04144818767777,44.43541038930105,41.314755383740106,37.59698664022829,36.860430924590105,37.10336762993462,39.02758134502625,43.75157125112244,43.16255612348071,48.576594533426196,49.78240594669595,51.29283137865728,52.163303700312866,54.78387194988207,53.423316228327685,55.06060091593537,52.06968087657901,54.59862519721979,52.35168703527761,49.46858232352533,50.437306098065164,49.38920477569691,48.35298647232404,48.7345512105325,45.57305764720099,46.33764878575213,42.3516786544535,40.12546639708805,36.42896212056816,34.19415686502096,31.15497425375197,34.98206430411957,33.423573645107396,34.02403645940801,38.62847114627214,39.37485394991688,42.78186666491034,42.51357592229238,47.588804823016716,44.04840162853531,46.808940338548865,47.607831476426284,43.79898887289656,42.05607462243451,37.916146996340544,38.2667847400305,33.84229134091077,35.698139408270634,33.96818572991283,35.301992894306984,37.331625029050905,39.475168987385615,41.01708827486816,37.760115353868784,35.21822812337253,32.70537779653683,33.004484376710366,31.683479359354962,30.203692380288164,34.89877900116533,34.13782209456547,38.15494044876833,41.11882433394301,45.18773676570181,46.106138841557126,49.8853173695575,51.52352417106514,50.81067340490137,48.35443547931424,44.275633497918335,44.0435162942516,41.709769327222155,39.810242317230134,41.9506768462956,43.93734515623741,47.316273182669285,44.63527261908536,42.92970820206638,45.36220316894948,42.29211155837011,40.12948448980514,38.170316209202284,38.0234645028437,33.83831557412546,34.87244449902826,30.88986286483607,33.35896542091827,29.20225432660796,30.625946824868006,34.00241931876671,34.08198436841367,36.901104604212954,37.97632369167805,40.55601155909714,42.59247559546478,43.935797174388796,44.852213803015474,48.39296304269794,50.715225299237396,49.91837046904649,52.404320457997464,55.03837591706882,52.87450276092966,49.223462946238186,48.77914825867164,46.26975246512757,48.31623281872501,48.1996828250545,47.582973089573514,47.14129232533303,44.16723789700343,48.80066126898505,50.41275474443842,51.676811032598984,52.334991802506345,48.301919157044836,53.64431568340184,56.69053702824414,54.23235800384394,56.36183467694704,54.49086133476404,59.60762899432761,58.28493638389898,60.271907916819245,60.83187386043645,58.11950633874995,57.971718221548834,55.66108398146293,55.45078922128539,55.3328936098213,50.96923577182485,51.06109991371173,48.0837211740213,45.739322574126426,48.22335676463815,45.90873366702274,42.390851841468574,43.7069387274647,45.44246678574904,40.985176209458636,39.087162977214184,42.04411946955903,42.42362572752609,36.56914409242686,37.356613870888715,39.38949406446963,35.89898003434882,33.19596669609403,36.56450947621676,37.82476785999875,41.619676943151205,43.384666420030946,44.11126437464889,46.54714129908025,51.7819914158217,54.39895203297558,56.83512071391327,57.02233051539487,56.72611981727661,59.282798308960125,57.10164833751751,61.480639463504104,60.45533981091656,54.646348642351526,57.475466889450416,61.04292548813699,57.005331984151944,55.10255814119745,58.7258221189358,58.4886179886766,54.167436706273755,53.851026674867214,50.28436535102279,52.276873553312505,54.93683741311545,53.33969995317182,54.59393666165349,55.77901067429041,53.039790333609965,50.51327820527737,51.13977130284473,50.157458906214075,46.12794052996265,45.899135065999936,46.33256037842354,43.56299298304719,41.69861162031786,45.749565937039286,44.509338420827426,39.75944294897945,42.26974602982497,46.03219356442047,46.30010647350216,49.75762111383206,49.769075575937194,53.69064803172298,51.536038041567735,46.86817378781272,51.15349174131458,52.355142364334924,49.00212373247096,48.691344970400614,54.412367539223204,52.57414113305919,47.89331581703491,51.02008917633583,55.17242220180811,52.63223765789862,48.94786545855841,44.17063600968706,47.2324669845684,42.661856484375434,42.66034396890534,37.87129084648503,38.660218685386845,34.316240374409944,33.85738669516384,36.87204752682009,39.75439881674057,41.25789047983098,43.31772584006416,39.48442588161025,42.45073770786942,38.694112117469835,34.766542239001225,36.934588797422855,36.054456739411116,34.23067636639731,33.04809066575159,31.299151126869695,29.41337992376583,28.75073262634607,25.057553558669497,24.50714725970219,24.167937354133027,26.102481858003458,26.039383791827902,27.134008641960484],[28.34164437300098,29.548551697696173,32.46252435406226,29.769857372199212,34.43166929461407,29.10911140616288,29.82644940214197,30.57548747856464,26.453990800787118,27.701593255430353,26.650234176711713,28.57596922286621,31.73681513448641,28.292726132034495,30.73525490008149,33.885919102632485,34.795525463885696,37.482969747024065,39.937827053264925,43.55853544482645,46.100921928013335,50.68174631757447,50.917576412832666,51.11046408711229,49.26672385829294,44.76010368391769,44.160651585726775,40.26199683431228,39.57229399428657,38.73655688934257,37.36637572889001,38.71684310737223,39.53936132851248,43.07999750648182,43.37183991552642,42.74580817761826,43.48818100499166,45.55801832519666,46.81481134773706,53.09230229738662,50.21822870140869,49.21609917664931,53.57448581339817,54.39347746788103,54.874045869828954,55.15662595278619,58.49125876797564,58.46932288320443,56.48525162744908,61.59764731945812,62.79658685193812,60.52521167796761,61.52765883166772,56.829555514250146,61.27608717181384,62.47025664427551,58.30268469417531,57.88119402604585,61.79923026543846,62.524102501822966,57.070058901400685,55.807309371441846,52.602006403703754,54.18362565069791,53.630326456218455,50.13630408008329,45.59040515365586,42.21681207091966,38.74268935144637,35.15982898369975,34.14921882154897,33.90947478639954,36.14452250466683,40.839890859237705,40.75678747174824,46.05086907170399,47.65761716405847,49.31028194277814,50.467469314049715,53.23253271648749,52.35378494248588,54.19461988132583,51.658280382707986,54.29391228668187,51.86833856374461,48.843703523100665,49.290292791828165,48.46159479051078,46.81707112726583,47.22050680575206,43.709597384063535,44.09141151196091,40.276998525454445,38.445111235560425,34.95196400267526,32.51854142153816,29.693583670162653,34.19034342532825,33.15950192932443,34.5326763438702,38.653485173829,40.186927675957584,43.042282144315685,43.4098648792205,48.45802479911288,45.151974606154674,48.32539092025264,49.12147136725152,45.48761374288473,43.684432847216684,39.53484165798498,39.20476150091913,34.5888868246592,35.894951482156856,33.509605548402035,34.5693422159183,36.10648385834946,38.03337728250757,38.94950981534614,35.91294464823685,33.336775450633986,31.249565391625623,31.811514838193872,31.048632680290698,30.230816402862633,35.19468647213006,35.35053898378189,39.09721133101854,42.31081197151003,46.23177778408634,47.32271851032891,51.27317879806112,52.47942026748437,51.75153920855715,49.0112860103872,44.75122083533147,44.73340890291861,41.80702771318331,39.48806825868471,41.53958179217501,42.95144348296232,45.99199780058033,43.25039382710204,41.94117596367854,44.38357282722344,41.421404083532174,39.47449186138647,37.88341504740073,38.2653018604272,34.31630547360059,36.01179653809644,32.06710717135312,34.95824647039245,31.11534369733954,31.768353505809305,34.93389570450042,34.5799591295208,37.75000069027779,38.15366910021702,41.19097435345254,42.75781304023057,43.55390441286259,44.374108396224486,47.859721300693494,50.33733458849767,49.438817497796045,52.337867066374464,54.8569798566324,53.029961783296066,49.19101559531094,48.97224803113006,46.212681328971385,48.32804928846587,48.26389910612555,47.58356647111235,47.406724378904315,44.087195509063356,48.93914203000897,50.31212609819726,51.903480739594244,52.4075153851619,48.87804442106472,54.20893624149121,57.141017609966326,54.46440515787392,56.11265739494853,53.867154727308154,58.981611676048345,57.44636512605163,59.84066651385334,60.623096011029276,58.101961767906545,58.281562790818114,56.220826067247195,56.2873158336148,56.453865562860976,52.10971430679712,52.59030089018423,49.92459745999347,47.635201463066906,50.56382792501728,48.327834861240305,44.64100732501058,46.23722925661404,48.29988150538838,43.84691138217534,41.84777207727561,45.17233799705312,45.79148560129165,39.87871087013329,40.83162987580707,43.15587815790446,39.66731019803894,36.946206411966536,40.55902866104692,41.5299660166109,45.62589357194201,46.88285249431097,47.5637878864114,50.25431941874738,55.357558267599245,58.2668351867178,60.455659693098866,60.532035704126045,59.950555745236606,62.36501038699095,59.92333564522388,64.20241109926036,63.350352938653565,57.356347197491694,59.93992534073698,63.51686027396257,59.51088445663325,57.36583332679086,60.7545709763948,60.649432411944204,56.35966772474771,55.56012978865757,52.415067450375055,54.196815399096906,57.07787064320287,55.86045419323782,57.00568258565638,58.49585062233726,55.44388384284684,52.92881176388653,54.051980496653215,52.97600385069563,48.761565267739186,48.88258841316276,49.593952879848594,46.835008272616584,45.025658971463535,49.34197680222365,48.26144780520784,43.539906054064886,46.14572147587973,49.99929782030918,50.083230717877086,53.366658611675646,53.04016645464124,56.981632924359616,55.11337044308185,50.189454051355625,54.219357728078364,55.618600701793405,52.296235308673204,51.55312575928763,57.36430816325849,55.709924831234964,50.80233343009591,53.58885955415883,57.945316957250526,55.52854438094819,51.69809660436656,46.91703179339255,50.02420363282939,45.408406448365746,45.88410320909162,40.88487971375236,41.689242386692754,37.34432761052014,36.614369670448596,39.37700284054967,42.14409478266723,43.4079038612752,45.68991368515894,41.55725190939035,44.3146708968273,40.26620937379218,37.09574865688978,39.3169794443782,38.88161098511354,36.51608574069201,35.24171890857513,34.1564643738515,32.32898433069874,30.822640010446623,27.991959408869857,27.661537638381596,26.992033878246886,28.70043216485468,28.73411763427054,30.061302746221468],[27.882961141784385,29.329807866738943,31.95941613906216,30.09410747682604,34.323779365716135,28.449187944435128,29.142016583000277,29.035675921306815,25.12884882741027,26.934610933699915,25.462710251771977,26.533552661602553,30.57604496073321,27.805754412253645,29.693401221230104,32.65335896379815,34.326042145122535,37.12204913839917,40.26930562066544,43.47291060471106,46.35347080047248,50.81010487228852,51.445380094217825,51.98350324355253,49.84778700342923,45.40654423326479,44.426325452468305,40.34643095595004,39.06216468817014,37.5940893585753,36.10159295694499,36.84403739106385,37.27846902034021,41.10653834992064,41.67202800982568,41.62834420279846,41.99847272954621,44.841369977245094,46.389237750178495,52.45393102475743,50.230926881087804,49.194649369527646,53.43933687564693,54.61755525283986,55.50722097084097,55.89423548215604,59.36135609629099,58.96545617234713,56.76533779113965,61.99687520264132,62.828187796662235,60.351025532013914,61.13851698879704,56.370074549866835,60.415358182181,61.88017959759531,57.81734369525348,56.97570976674916,60.894319370507155,62.08229438425401,56.68651882019233,55.18413617333279,51.78194160434213,53.87729852474788,53.47450780066853,49.737867617799225,45.629354757445746,41.891897267557475,39.003059586727765,35.03859704378665,34.57913104982189,34.55172297554286,36.09532449483926,40.92419634498411,40.15195645425464,45.19027275706716,46.798029252367655,47.948742492056084,49.167130188432104,52.08968430241826,50.88611897657453,52.969793191661935,50.00483620818537,52.941743840028145,50.93919685954558,47.672585829777624,48.35360278307568,46.92478406528294,45.773404000315175,45.55196319184851,42.372754962831486,42.724557978884675,38.74974464309014,36.525218226987654,33.21918326594845,30.597064459451342,28.042894066232424,31.87730183838689,30.712523681504738,31.312394933645372,36.101616432998476,37.454163974063256,40.83226156054344,41.2142185887876,46.585244600981916,43.54085424289023,46.52771075757564,47.760765780670184,44.27664190901027,42.05556781374976,38.259888741426444,38.18484081115215,33.66349289429839,35.564639476964196,33.30230169474611,34.99113123758127,36.50461516086852,39.02586384022506,39.874774611781866,36.27643069327336,34.11165554986821,31.763736193491553,32.86929669674636,31.65401446739715,30.34830912794715,35.36372043356135,34.86502132195959,38.63968914312234,41.66173328449235,45.31742195979062,46.91037950409755,50.52135479457423,52.02596443552497,50.8177738073253,48.706396983672676,44.53893984116318,44.99196293845785,42.36614648353617,40.40465063083316,42.04017842363962,44.16182862040564,47.09925772613347,44.015535221966175,42.43116878748266,44.526167088765355,41.11670725944424,39.30496462738603,37.15091288842876,37.192454842275,33.00921023193476,34.135724499092156,29.75773206851515,31.96893752039341,27.546837265096364,28.37745468791414,31.970433985543647,32.258546380052294,35.50690768307253,36.35906724387122,39.6401423428173,41.959935267660384,42.760838968368375,44.30526214120626,47.45655336999781,50.3252262507639,50.02178643721015,52.63709180216376,55.5315582099111,53.68463297269742,49.95330897503611,49.339114201339676,46.48404768671066,48.06372984242211,47.57470383059493,46.537005871267226,45.85534455891488,42.520529698349414,46.97048943368617,48.91148076699301,50.36614633631176,51.47188153766623,47.698176091742305,53.25586773384246,56.40722044690887,53.97335497532523,55.67168846010875,53.533383366314936,58.837051597596634,57.86712333498118,59.982751702984146,60.84568234980404,58.05801348780738,58.29978904437622,56.17000838683105,56.14938236473214,56.3738925487583,52.17266139450395,52.26647831449504,49.593213940473554,46.85473225763156,49.615209061346015,46.93885245877151,43.52641892334204,45.44110933890167,47.03462502237035,42.39320677024105,41.14375667098432,44.15726647199791,44.05829594276156,38.45119314814302,39.70813104553868,41.634478052552176,37.78953164969566,35.65504760533098,39.35384625370099,40.715228248963705,44.37463482512349,46.5503353430457,46.828002795524135,49.167262159607546,54.37756246064055,57.13588361617248,59.37120893151424,59.09659232610603,58.623779126800905,60.90543005908514,58.40178878283075,62.90342126760661,62.272434732740756,56.39287735125706,58.92008182596313,62.82138970060393,59.02870808294764,56.85202904609571,60.343709388575334,60.616598147994814,56.37763766179094,55.53536356441412,52.037138456878324,53.36389910275669,56.052940671505844,54.46780803309579,55.28181300158243,56.36127171815197,53.30203071457081,51.188512097918164,51.95743063741031,50.50213056836071,46.58600065194796,46.87767445167019,47.088541690437935,44.16659572509062,42.786342479679114,46.98526205428532,45.52164680476149,40.90515396579409,43.92507438146251,47.68205174607154,48.148161431670616,51.38229345284763,51.162532910773656,55.27472958024561,53.509054658335316,48.82010328211706,52.948496524027966,54.566160549470055,51.372618756736465,50.8564767148873,56.711509464592886,55.308241571377884,50.5726768002871,53.44083452770041,57.86207070220197,55.67225605146773,51.965646437967955,47.207918420536245,50.67412437754174,46.22802578177325,46.16270216709939,41.18821341232716,41.46023714126189,36.86469777925011,36.89546711054274,39.71753609243593,42.826593405454325,43.95672534631123,45.67707521830751,41.379127048394764,43.888625632055835,39.875503294238015,36.345865619069095,37.920769386247834,37.06980825627687,34.48296817338176,33.90571511404018,32.71948839437811,30.230209897357035,29.262667150774437,26.547289094257707,25.328938040921194,24.150228646927655,25.567154271431598,25.200999347030738,26.378210671248397],[33.52189774635612,34.681466136753066,37.21539516965468,34.652554449699245,38.51854851418084,32.68081221001838,32.700179344958165,32.468547892358856,28.127678262546052,29.04094917429766,27.027646831190435,28.28549262984526,32.07270232574345,28.883102778479962,30.064574550787544,33.245646875457005,35.034973105847264,37.1283659092536,39.9190290069854,43.36961298818989,45.845664866527365,50.41600964491861,50.78713080876138,51.53405940702085,49.7864558077521,45.361455952715005,44.8671518926683,41.01272132681317,39.601482336413596,38.42097048108434,35.85210112610154,37.4282740127085,37.33931883505745,40.67793277943,41.74584371988054,41.7063967765049,42.739514593040134,45.417171122407694,47.227683508697616,53.36375875297719,51.061992369392634,49.43379789541028,53.57157550584521,54.96776738111158,55.81544699832073,56.57285629598586,59.917743496462734,59.354561857547154,57.60625299979462,62.89161510175606,63.61782582072403,61.17871256521477,61.6928783490728,57.08314612018144,60.94500323702259,62.035819392066614,57.92452904414172,57.05066006138688,60.69522129055042,61.78269036825457,56.233102154701456,54.316700020027625,50.79511357414601,52.57891751239719,52.59620650559403,49.13453621183908,44.64060622190485,41.10780613812602,38.022479824099115,34.11626542756868,33.53695786723471,32.81328441932208,34.43963121268552,39.24304765319048,38.90740347826193,43.513497010401,45.78913157562076,46.83648236780173,48.55144478147304,51.770831219026775,51.11302248944345,53.60614574574012,51.07515125272305,54.283637034509454,52.262793181266886,48.72025067549052,48.783001109522814,47.358568397468645,45.594253736374505,45.02409305593225,41.529176578590956,41.2009047063199,37.455166537752746,35.656527535793686,32.87989246321003,29.83960088074765,27.90169427824356,32.270216596486144,31.836770006542046,33.04016600331405,37.460071785508525,39.73335846267578,42.62106941346789,43.80715779884447,49.228935356929256,46.59914507224551,49.94641901997447,51.32814262882783,48.10649581559164,45.7002695294666,42.05472189399392,41.33894544518301,36.702611408447595,38.15555191331529,35.19263215074211,36.74578141299331,37.59641425090135,40.02303808395517,39.977493874457494,36.49893304809947,34.51084254166783,32.68675512404889,34.31463510340654,33.65190270313775,32.98218381412881,38.22748874143925,38.519767717077045,41.97482975835981,45.17184058473118,48.54905694729476,50.474547473187954,54.138257769494004,55.263012595886785,53.883086340356726,51.68426505531127,47.37925480270949,48.2043768999763,45.04049487563112,42.729889515286224,44.11239656279346,45.745861394151426,48.1913751731582,44.93629006288176,43.781457510250405,45.72832880643206,42.31433749393738,40.86546192052145,38.97962249193521,39.53438905299579,35.61022775367902,37.2566262691401,32.83071353468639,35.17400728370258,30.935623698516245,30.920300217704213,34.38620440855089,34.44807688663753,38.1063692716285,38.316088367589984,42.22313163713965,44.25492783117657,44.36399026301062,46.06620985906933,48.9800885039337,52.17378706561277,51.960323451896954,54.95306054986184,57.81245366242275,56.357801843377615,52.471845038156715,52.00146164354563,48.85280565156655,50.313781467932635,49.730216005781564,48.4754736643213,47.91001025411353,44.163291862959916,48.648678595323254,50.536380260999024,52.333643519133716,53.50192706594599,50.27332145336538,55.86131503718041,58.94028549639942,56.35541416990128,57.47082899725362,54.91533771726674,60.25518387841057,59.240716714870686,61.75166312504364,62.909690497795076,60.27707283549644,60.925591016653975,59.07007706296092,59.33039129564497,59.877908244959286,55.75742128500832,56.1452254948049,53.79183337423904,51.003713992212724,54.13100006014098,51.41987331730999,47.94681553539271,50.189411002199876,51.95097165541797,47.288477500203854,46.13062330311248,49.371883069871316,49.302184284201445,43.74677297160135,45.18508727757628,47.241813530875234,43.336293493743874,41.30861949240129,45.17298815953314,46.39872858092311,50.188642156721706,52.14841791918128,52.3380205690341,54.79856105364583,59.92426413410811,62.86170609905033,64.92290282999656,64.48381825992165,63.803079892544396,65.91882504015643,63.16848607382601,67.6295362819126,67.21929368949023,61.21893225927737,63.49527836464567,67.48007175347453,63.77921577167615,61.37788224207552,64.6593168215143,65.14753470268614,60.96019277502348,59.65474823247584,56.48971561859305,57.4862076181688,60.32506761812939,59.00595979210474,59.60409207098415,60.83592539620577,57.478626662692456,55.530764243862045,56.65456536798586,54.98386871908452,51.023638456053966,51.6978532899982,51.99360203681173,49.04397950216737,47.861717558065266,52.22366398659142,50.774673015589684,46.241703081379676,49.44013794914726,53.22277085303437,53.65261729609946,56.72542900018559,56.25442104651134,60.4176974631716,58.921158657635374,54.09695929200603,58.02185781295379,59.85284367771287,56.71854710722834,55.895328314366864,61.82126348744654,60.61876329801331,55.73938735213075,58.33165299131671,62.92902292844823,60.87763303296292,57.07658979053595,52.325813927979894,55.858550610104615,51.395665106310126,51.62896232628605,46.513571696448466,46.73926817191283,42.12051921279399,42.03939207115254,44.668424383416756,47.71696178825698,48.63201675371398,50.44688369744864,45.8736362396198,48.11823139991084,43.861291182308236,40.98148380114086,42.431780864204754,41.87702152813189,38.745990212155455,38.29722601135797,37.68620090943343,35.107719648582126,33.54088711532417,31.639047005240364,30.414575817189487,28.83618883614653,29.90651418086478,29.487683301050563,30.76350826826285],[32.24210693567995,33.30818477795154,35.5276781714174,33.21706025194379,36.56225461198858,30.474945705643293,30.259529896195666,29.467178140886467,25.243498967912224,26.33107904985718,24.02469405770129,24.75102367808838,28.990179014031295,26.271773785057576,27.05360999710297,30.07017959032182,32.3321254947297,34.495440940577886,37.76264324414348,40.875542324481444,43.602463655677326,48.04783847288759,48.72320832260854,49.68923559765874,47.70745401012595,43.358062640706756,42.57342747148782,38.62132650410655,36.82522409988772,35.25006878025725,32.666937097359195,33.833581777461625,33.55420032904553,37.07417475085838,38.24429391337623,38.547212652045836,39.32896303878557,42.46277233097923,44.445040364475055,50.41021356625537,48.54574371972087,46.921283142581224,50.96815242922955,52.58751411088863,53.718460130509044,54.536009063607445,57.96346130533857,57.141926292611586,55.242038970256885,60.589793382802526,61.06214816791843,58.4927681989158,58.87281973672929,54.22985085612748,57.83439412946687,59.10816123661494,55.080171498267006,53.95255236794722,57.608221684629854,58.987038188576285,53.508985610870894,51.502268920931705,47.889900315743304,50.04101299185902,50.08740491446523,46.4479470798479,42.320759988286376,38.53937692821285,35.90764662702745,31.768057076686656,31.604871601357555,31.169326682257235,32.25876853829804,37.11591259585464,36.23945096922451,40.742827344728184,42.88405937878521,43.646792272966174,45.31672617941319,48.58224217067932,47.69421402818609,50.300464358870784,47.53081739473916,50.90091336083451,49.1404111918998,45.464427541051606,45.67758825978664,43.90437037856697,42.47731378023678,41.582442881951366,38.332386404755326,38.105926705186576,34.23963024584178,32.1588491137721,29.444667347006877,26.36003468172517,24.550920306604905,28.472721120985575,27.97953163242999,28.839415680781386,33.51625854215548,35.77066081592694,38.84820454601618,40.127613088095124,45.69339006644874,43.29863853593397,46.595391123177656,48.24949406140305,45.2120256115518,42.53304010684564,39.17176736316612,38.45779091844876,33.914625568346146,35.65131265273049,32.72286117021614,34.67854341002096,35.46515276372105,38.292859217314536,38.21670664697687,34.362858726725094,32.69335587336233,30.704096902848196,32.724007130476124,31.785772682040246,30.870478738028243,36.10931400090532,36.137360687680285,39.48562431178831,42.567051879322655,45.68219370239996,47.98979385433401,51.421728097148076,52.641850127113806,50.9331034382925,49.13335879296548,44.89810481058142,46.11186789342551,43.08737844189227,41.00826591403696,42.04596887784304,44.14387845910581,46.47384240601617,42.99004094124814,41.65836393737664,43.34079268339604,39.65290778108338,38.324997889454565,36.10857171245627,36.50006209060004,32.51952970349455,33.91175210075308,29.299782778155983,31.309306474144595,26.93978801497263,26.784744730734765,30.379163971437226,30.727407586374284,34.451375923835016,34.81920412731493,38.910563702244644,41.34057260444017,41.38811146015529,43.560403885538896,46.216425371951765,49.669702993154615,49.87850538676593,52.69098811643507,55.79610127212864,54.38954973070441,50.58339585244736,49.85331175503532,46.61920966826268,47.691343615977125,46.82694407607804,45.33804341056337,44.4887225375249,40.72394916168433,44.96254938232637,47.15483519241975,48.8887820400538,50.411267859009676,47.116253740365046,52.812611880466775,56.0014103508545,53.563744805182594,54.65160450103777,52.15666864979711,57.59893673471025,56.970967560979496,59.2974106824368,60.529834446748424,57.74336542708443,58.48004497469166,56.62977400040226,56.88306607335155,57.53888208969587,53.561728394770185,53.76488579502562,51.52566150880715,48.44967167116485,51.583588768189585,48.615263463829365,45.31001115084827,47.86864137686429,49.40817648635953,44.6670561854428,44.028070853580815,47.16774663021598,46.701647808839475,41.40750041614528,43.13589670890355,45.03870986568613,40.938858770815905,39.3561029238048,43.38172062618487,44.709056809787384,48.30740957919077,50.66193158881834,50.49072770469591,52.80344766959019,57.89099029840834,60.875473975412774,62.80246738263754,62.03765780128378,61.289962323071386,63.22862149596351,60.337175788006974,64.88483403107362,64.7110781031705,58.752047151964135,60.872171077072665,65.0760908265344,61.57257055878187,59.06611654646579,62.31873347758945,63.14694913649757,59.03963964953295,57.53386710127775,54.268174089242386,54.845032506194165,57.601021327060245,56.17199956934045,56.501065396541144,57.57332486999468,54.11999920602961,52.449480541283386,53.52779835844668,51.595996895995185,47.782691824623555,48.70482802607172,48.806869776727645,45.79570238936375,44.92046640418363,49.29403934865932,47.71332088360367,43.316668564979246,46.7912429569371,50.5256367910611,51.09424196528133,54.00621021816294,53.43620239514174,57.692117764989085,56.42960015073226,51.67931931360404,55.514892702667396,57.59081130902776,54.59621609156216,53.73944201079762,59.69587724456149,58.79622055556081,53.978184606195,56.454970409326954,61.16775879886863,59.384758815343126,55.64264887588541,50.950146813079975,54.796353753572305,50.49962661657389,50.51423134109193,45.3507394168286,45.13261161815781,40.378069646525475,40.78352365615066,43.30448050843834,46.55463768710409,47.23907851798958,48.66477394761136,43.89409615351671,45.84634011631382,41.57364298026312,38.73954558363348,39.72182717309014,39.073278505079415,35.63242918796624,35.629759249689556,35.2329898939365,32.29023577882635,30.780046744561382,29.37312501828142,27.695274953160645,25.7021653244642,26.467882705885536,25.902920138228936,27.203179755859384],[36.24246055748379,37.291988227959415,39.30009264619379,37.14233688222445,40.055539505003274,33.86446365420022,33.32385653273152,32.00969955873238,27.874287839266838,28.75083191743401,25.99482861176946,26.206589310060433,30.682524200118035,28.278785606920348,28.21123494834045,31.10054666933973,33.87430638279192,35.60447820373907,39.019818084013,41.93237215211626,44.576551796569426,48.92861510069263,49.69445189376107,50.99385630861525,49.09164853491994,44.8725957066958,44.15135856446158,40.30775808340966,38.09568462111902,36.31418634276681,33.02211541960547,34.254533827906265,33.32091613448559,36.62952859618273,38.329976726720865,39.05797834714272,39.98333560694128,43.48032264955239,45.778138261137386,51.54428356746401,50.085084248155546,48.11076037167408,51.95285384500269,53.91601812761306,55.26569998651387,56.35333909330106,59.7491525193239,58.607667333138956,56.86224881348816,62.254492726788584,62.42835327752714,59.77708109593516,59.846882905813374,55.30892736698702,58.48721354186582,59.69801056841712,55.75609090453697,54.33467621514549,57.77140367112451,59.3930543898265,53.92459929838244,51.51217932172719,47.73201771589969,50.01691308260861,50.438750242865574,46.86560121869287,42.87494339291665,39.05666788461145,36.77725037896837,32.54456048327931,32.692223708372644,31.978287253859158,32.587870829851745,37.37791984499662,36.31053003153702,40.21753214604176,42.77010116096155,43.07040859112468,45.094457977749336,48.61910944205085,47.86666994705631,50.868181554355566,48.116207813397324,51.81259660483487,50.353187691077174,46.40697084518289,46.39025819939666,44.22749863350009,42.78518775057172,41.209403666768296,38.067799330930704,37.34926812139939,33.61204996130926,31.577122862309366,29.491774607069186,26.079286155106036,25.03813972571555,28.612051588931514,28.54699789020983,29.177999741334446,33.953877765688674,36.61301486078834,39.67119725075757,41.43142067605936,47.12992557090133,45.1952299179827,48.51731940832934,50.50042776415978,47.74629296639743,44.76326830038701,41.770148299449296,40.88147363914332,36.45618418824178,38.24941442622487,35.099854041561585,37.28427835599869,37.672162763542886,40.719661388459755,40.103810177806025,36.081422352358246,34.81774945047384,33.037788323908345,35.57159907961427,34.70586165601742,33.883094130922515,39.11547554175114,39.184314506040806,42.30988608743049,45.310772855022314,48.063976048272124,50.80641610428776,54.019697133487774,55.197203548099225,53.12861891896891,51.68487395184022,47.49750492613768,49.151830393276676,46.06466911313855,44.03605482358894,44.69524903825873,46.89093781114728,48.85903001855612,45.14227799429359,43.915031942559615,45.270372082013225,41.380288172210946,40.37875507266403,38.02604074508814,38.488397519754926,34.63116404137564,35.91225003394136,31.15827681387369,32.69890199345716,28.220666337686744,27.646369096883735,31.321313867723322,31.97809700768172,35.88089621906446,36.151436281908566,40.66918328362515,43.355684758289016,43.00264812419792,45.67521232599167,47.938094666009945,51.76325184981007,52.37351762087857,55.189521586896525,58.45579964472676,57.26248354681207,53.481107665463696,52.61425609497299,49.21596067523409,49.889286724134095,48.724167373852005,46.907062765829735,45.80967957517161,41.86172546057811,45.75560172899907,48.26736575047359,50.08936384242778,52.02112846685967,48.939913095520794,54.71054862300551,57.9549239667876,55.61257546262462,56.384115465333785,53.74662858268622,59.26011439830745,58.96494213907563,61.31967253186085,62.755443401498646,59.92508827605252,60.91436270100219,59.19301600671875,59.54324636377394,60.39544361831397,56.58459620644272,56.718085713466934,54.66283071772179,51.34969689616646,54.53052275866038,51.329248030666776,48.204367822684155,51.06410108050269,52.4002292228021,47.61320552116742,47.44058068816594,50.470126017639934,49.6212172583526,44.61267203762367,46.55434540006249,48.267543810069014,44.0124384562984,42.82144452573096,46.88847682159222,48.34731790276812,51.722711421957015,54.44286186107671,54.0307466448868,56.18157838364277,61.24203147729428,64.19384872595296,66.05633645474337,65.02052120628544,64.24258327432683,66.00370482432764,62.97676325800148,67.59489727047558,67.66515091684083,61.7650704476569,63.70602290739987,68.10455159161599,64.79627964526199,62.18320754610888,65.35994979389599,66.50097148579829,62.47837021191873,60.736945125922944,57.473336826507854,57.61814017048763,60.30860518551972,58.814934105701994,58.82469345019061,59.710415758362835,56.13213794869436,54.824746382870195,55.85867644918447,53.598210868266264,50.0088205570472,51.22279122602799,51.05722812837276,47.9787233087703,47.48742564457261,51.79927671269385,50.011415243804855,45.79947338327309,49.54961942000319,53.182748802519946,53.9554240784452,56.725422128098245,56.10332548752103,60.437823255208684,59.37927151891181,54.754780645998,58.50562612795578,60.78632207481496,57.92027498781806,57.05585354570394,63.01242384693519,62.34912042285491,57.60036285512557,59.97291522585686,64.7623197146422,63.172550984734194,59.48105403749349,54.84292613690308,58.8584046268464,54.66502015213373,54.54223547283147,49.386026862864775,48.89857821023281,44.07865447556375,44.794942512192385,47.23407201591223,50.58240904495987,51.10658315231919,52.27735519777727,47.35856707529565,49.02299525475201,44.72167293158497,42.058156057129366,42.603876593829845,41.87562096316521,38.112641651921756,38.58376939048525,38.41449338961433,35.14292233256394,33.698508993548735,32.77666282261186,30.685968000725634,28.293872115251098,28.644426533033535,27.819464729098208,28.997679559612322],[34.78812880268489,35.49397374326003,37.34652311404075,34.697530839685726,37.263238389723846,31.18134391235136,30.25705453104154,28.980461027441542,24.66737813495362,25.13160205278486,22.265718704366265,22.692832073382654,26.903809723550754,24.35850747728201,24.21344144472844,27.17196386809903,29.859284220905597,31.514014117397377,34.88612094482072,37.82782812158229,40.45536747283295,44.82242715241469,45.57550415489839,46.86470680026964,44.96141310798021,40.743695483979565,40.057190763952676,36.247744291118515,34.06555035507964,32.4149099131701,29.073327073075852,30.52627917407274,29.737141355196187,32.98292671118875,34.56020799175765,35.11567509369492,36.17883408424615,39.49589417474461,41.77896205729402,47.5941542559086,46.043045966884506,44.02177348297242,47.87885902305087,49.818721567752924,51.150847658197755,52.268411294368,55.651306918909135,54.50200802537287,52.80446945533477,58.19844003517428,58.38665609836143,55.75876875465428,55.84026519958936,51.317181318055624,54.57038883677621,55.71770595160526,51.75143956308849,50.417773365444695,53.872676150178,55.39874232937762,49.908526253450425,47.57382494393508,43.838141912891295,46.06690658395727,46.406262134140746,42.832718384967706,38.79736107539053,34.9872434951839,32.66254379507348,28.430689206493888,28.574280874444472,27.94335081080938,28.555031018132453,33.36809366461581,32.32054711616351,36.410754477339296,38.85632505600246,39.33313060003352,41.27930809660006,44.751331033112145,44.07751416802141,47.02793526755158,44.429587136474574,48.07703252655792,46.50884429536154,42.572233619963626,42.450417692748324,40.44401078095364,38.84929696367913,37.48847520012923,34.23417830584749,33.64389046990427,29.87091395969808,27.89618721849139,25.65160971241988,22.289964382074015,21.11014447536863,24.99571824737275,25.05784107669884,26.209126721869698,30.588218130177435,33.532437946801906,36.25911974838413,38.21942479392292,43.82582922799839,41.95798600694632,45.471896154356216,47.404473624478925,44.75529025638225,41.78129022501496,38.801221359919964,37.578279543979875,33.12247823059856,34.68489083585815,31.327698524440667,33.47054420426899,33.69374535123071,36.74694851365769,36.007983799187784,31.981452599151062,30.771778224627553,29.07244349690911,31.764080943692303,31.01533361771258,30.39592639451336,35.65512368871749,36.08651872898981,39.025321256890614,42.100492082446564,44.74725722772085,47.574209635688085,50.83100456409039,51.804780583771006,49.735529283554,48.18979135949384,43.96275032411442,45.75683573533112,42.48540052915957,40.38029082926421,40.91950795617043,43.02809375578579,44.86782047375716,41.11330605586943,39.95926681922014,41.28092077473203,37.42128264155391,36.488252389672006,34.25229558236916,34.90608090713343,31.190672596944992,32.791100911205724,28.16701262009499,30.049473083214,25.99206636072418,24.97926915458717,28.3773521265993,28.681044888850096,32.68361978330105,32.62366012345222,37.25547819669261,39.705653743541156,39.17762948543552,41.809711889149405,44.043153450112584,47.90272502301051,48.524551939078066,51.43436663086963,54.68562243838555,53.62584156672662,49.81324253020528,48.98304855253338,45.50010532081264,46.153071071078756,45.009981925766276,43.20012863141406,42.248603618427246,38.21010486007215,42.25228401601672,44.58056959060576,46.51125727114075,48.315324624020754,45.431479792245966,51.161819883285816,54.34392506385711,51.92612818012389,52.546547860525465,49.817016567866204,55.31550343409395,54.97691848418442,57.41753390321089,58.91655779239387,56.14464983786174,57.248760583141845,55.62902368436407,56.09011596781535,57.077322000999914,53.32000720063991,53.61295483398013,51.74933743105417,48.45583571245875,51.871115767140104,48.734116119908585,45.53480663002736,48.5684728569817,50.08870400571998,45.34281246820871,45.153264045729614,48.38957615449195,47.706533846985096,42.706318901839445,44.780123453263634,46.69773802065936,42.48340300995732,41.31483588614107,45.5712258543117,46.79810353632743,50.37051112236412,52.74791610924951,52.217962317260955,54.532394713172614,59.45717348093833,62.65200703903558,64.27889403095068,63.12940034835075,62.12747122201917,63.77318460976461,60.57797972965483,65.10576885623811,65.29840931253007,59.3026842334008,61.06830276405086,65.46867362966134,62.21894532261555,59.457997409794956,62.482760589094454,63.74843465290607,59.779421136461345,57.742463932763904,54.709319384090406,54.690437821663416,57.48940520536461,56.236678203871996,56.19810908586013,57.312780940985775,53.56436034999843,52.22139373525823,53.59907371993569,51.34991508769712,47.6138822805955,49.02917764555373,49.128183537493975,46.10938773526078,45.59321250737153,50.09371286818429,48.5143881901338,44.33720828754728,48.08323159534163,51.78426446526084,52.35820143814486,54.967523472919304,54.07625724998833,58.394050864461455,57.568282456237185,52.76753555851986,56.30234495296083,58.73356811890004,55.92159129783617,54.75429259255446,60.745645021955596,60.2698826282699,55.40440669461429,57.519928247697884,62.44297937831756,61.01412374809513,57.263603001145654,52.66843354444143,56.80054390751605,52.668368531330756,52.771069932505455,47.49078290297978,46.87990622324295,42.07106049330543,42.74905577701175,44.97830667148618,48.29918666576161,48.603911058518435,49.77899080960908,44.68661195502721,46.16520315795164,41.74995822937598,39.54489212718123,40.07317090365453,39.650872554502946,35.601890626499234,35.99575553437756,36.264591777535294,33.09767936358675,31.12417722462952,30.80496982228055,28.92604883762611,26.43154095299335,26.69942461874397,26.096887456772482,27.518398710962764],[34.3309532508534,34.72156412257115,36.551708011233515,33.25278071239423,35.68756080692862,29.853253808737797,28.61556523617457,27.682972633056426,23.107971131939685,22.97207790382857,20.141297595569075,21.167808890153147,24.766163426513295,21.745742144813015,21.741419319032634,24.89088537831902,27.190135548073147,28.69001813337527,31.728811344934336,34.913636919508775,37.36856170417837,41.83399051534638,42.397881298576216,43.57373173857343,41.80931707924049,37.54258822925677,37.07487693364926,33.35993076387242,31.421063156186886,30.16181036405205,26.740702241959177,28.71998410453894,28.198818601131507,31.22436395466773,32.61440696423498,32.774391279249976,34.16031968588272,37.006714533880306,39.190191129944104,45.15357563306572,43.26518868094191,41.160654545938705,45.081405951088314,46.89065392311574,48.05471597071329,49.19622726888211,52.521905169705796,51.48615584785748,49.940930353792645,55.3132337638563,55.63972321631439,53.101917678130185,53.25359747719782,48.77017197087858,52.23202528963951,53.19642905394299,49.15639792384342,48.04933287937075,51.504829780605505,52.76861611795778,47.21011490247687,44.98786224100077,41.347615807730556,43.296678522499555,43.551780873420924,40.08720365299504,35.77487789608933,32.119435481170875,29.462659448075605,25.3564965584213,25.238521675297267,24.494602798207396,25.440499714237433,30.265857519903562,29.578730192539005,33.91647510173665,36.34790946884259,37.176646923070294,39.080488257640376,42.47562691440347,42.03881656180856,44.884041012018834,42.604327896664714,46.11494602314106,44.29157335155897,40.43142088372348,40.08616383055792,38.449037537909774,36.47384544339786,35.52649925837034,32.00119125719646,31.467999336051324,27.75320374227809,26.05400044503745,23.617934194118952,20.361762020759333,18.947452434844138,23.482796860430447,23.740129708833614,25.671875207281325,29.414152222234215,32.674359157903,34.91019545214563,37.0452319518152,42.46073139471182,40.55472398859925,44.29876318097097,46.04061648043932,43.42114857903832,40.59504606983568,37.49244748955611,35.893996863536955,31.35661510869094,32.49439388676819,28.853998805976758,30.726936924312707,30.76698918460882,33.61601977558614,32.703846419771544,28.867532521856234,27.54314194576094,26.04821690984251,28.74918354505166,28.305936351285304,28.076512352029603,33.38587903591083,34.38053405869506,37.16057624166873,40.38009511276578,43.036350339547965,45.76934622691152,49.188463470536426,49.88537531971441,47.97595525972195,46.11599743852886,41.80492427667725,43.56827319508279,40.001884385387136,37.67591274112574,38.247364475551194,40.001294015408725,41.74065012525969,38.042686922253075,37.08209874937975,38.5034136407374,34.822788406573316,33.91375263275494,32.00264886937739,32.9777166214067,29.464451680166782,31.564144177041676,27.205220684097604,29.62985838884029,26.120493420231348,24.74592312436977,27.734361588515856,27.48100578047529,31.537461122035488,31.01214486905896,35.66698828005381,37.63086029819024,36.918670255885516,39.25838691505953,41.58839159371434,45.3642491405392,45.78649423293492,48.90875054190759,52.02213387004952,51.0981823095742,47.20191671270519,46.54665172405272,43.00014871242954,43.82790093179564,42.851640712829216,41.16726358389314,40.532720174862256,36.40220871474479,40.72913348109801,42.687669094314735,44.777497800313846,46.257393342974154,43.64265715686869,49.26929546092431,52.324192605495554,49.74561130603544,50.19378627932816,47.3159859925575,52.74861508074766,52.16368488174964,54.8104112915531,56.35426902009266,53.727070402215496,54.92789397633787,53.42508280074665,54.01989079883017,55.10930468534889,51.33892691084398,51.9005614752901,50.193600404711816,47.06099834837345,50.72473494293594,47.78087268419335,44.424496885885986,47.490883100797234,49.308759824992656,44.64793276068514,44.195377138691406,47.69320478973867,47.36556998678823,42.258587406664034,44.331098278415546,46.52433874092396,42.44476833919028,41.096599237150635,45.46575719975084,46.4125672696833,50.26597499566761,52.11791344518113,51.631134288117046,54.177365647591834,58.97845467660684,62.39846004116798,63.84392262002776,62.72663584808673,61.52769408758308,63.13485183986274,59.83255659777294,64.22336155673,64.43488306784117,58.322622656806764,59.97521102887566,64.27498114642644,60.995771273234034,58.12642158028941,61.00086380628674,62.24187855409303,58.292626625326434,56.02868300364274,53.29483604384669,53.297842803961366,56.25226813975577,55.30849515853346,55.34429055735685,56.77112018044164,52.894715791362955,51.38665100941577,53.141875110131394,51.028777639517145,47.07950340434854,48.583908223577865,49.0420936328024,46.117912268445856,45.4344253549443,50.11151656789783,48.80133866064918,44.60458792604288,48.21374512629538,51.99862457421896,52.31218866998695,54.83025424823954,53.71308293224241,57.96700545576237,57.27165899425628,52.26226966031981,55.6129600207551,58.08554956229926,55.26704119951792,53.80108264519704,59.812064261668155,59.39286323339942,54.378946838592775,56.276300167400336,61.2864072392288,59.90290670187365,56.06372591335036,51.48745980495094,55.5983351174323,51.45427419331892,51.89385211600308,46.50680435869672,45.97140038412925,41.24017141809333,41.65030531728882,43.70537702754402,46.90227798463048,47.07833215372363,48.44274498026317,43.25673533550983,44.6734084764013,40.13940308838368,38.41643783408984,39.15370459493062,39.100160999856506,34.91229883244063,34.999089889228074,35.62872137178555,32.75512686091115,30.19834594893096,30.274269822879564,28.839636134833885,26.459565380776944,26.798339925373927,26.50039974118456,28.13590189145001],[30.76849515468512,30.86230604905105,32.512084849632444,28.955541557817693,31.11885022154349,25.378612411963108,23.959380722504072,23.13946775983815,18.482325386332437,18.266382890158514,15.562850332123576,16.89434205518737,20.32781307566637,17.24585934728331,17.736938434642898,20.915130596370975,22.997444665629207,24.92791997253269,28.153317599289544,31.2708631599718,33.978116946225406,38.424402323892004,39.12303072717173,40.136734653718335,38.12961420454115,33.81085045418248,33.084269010191385,29.220953055590165,27.41366742212933,26.14502195683616,23.40957453861467,25.125554000992096,25.18640342085924,28.471146391802904,29.34543601134548,29.256754034470138,30.390923676004654,33.11448083856844,35.11674761910995,41.15246363664979,39.16405112963471,37.36452929616504,41.40555793178299,43.044684586286216,44.20303549138235,45.15825460954238,48.55792590486869,47.6218069459077,45.858138141625375,51.22887146847281,51.649787516857295,49.10835006654961,49.44996170704202,44.86079656039061,48.55490323438681,49.67090916269705,45.6080889400901,44.63199897425399,48.29157032028379,49.495412202237155,43.99079085053206,42.12773773262464,38.62270065017736,40.682109947925966,40.563510978729695,36.9229558293414,32.768671969015564,28.989462985543053,26.342977826737012,22.190577211787012,22.09446752044771,21.96768869292852,22.945538188465697,27.8093002166913,26.89463639083525,31.77288724079572,33.61523012708307,34.74728402828467,36.225060474467604,39.362146414919565,38.673910816135525,41.20221401182923,38.82615936494838,42.12364741659589,40.16037025399752,36.46302367422056,36.38069159441661,34.94258835276176,33.16113994492003,32.73717745957999,29.27810453339284,29.385005812511206,25.497323655775777,23.593348160895918,20.52027470058942,17.69174152425036,15.489076922356361,20.162950918343185,20.04968680487356,22.292248771529533,25.780036409548313,28.821280410448484,30.967169860829305,32.861493128409435,38.17230918340813,36.08481064351168,39.87447467640813,41.48311294240591,38.83089622568365,36.10078735374416,32.91377836274292,31.240418079632803,26.671969390145932,27.77549928202702,24.21295880245573,26.13290953102215,26.383831468971888,29.32463493520348,28.834107905181988,24.880270716244507,23.442562138263728,21.672307265240747,24.289590126059174,23.666906520044474,23.34344361490431,28.647832691280872,29.692139123654073,32.435632554234445,35.68043039540361,38.38577919448904,41.05052836965412,44.51294180480512,45.1851848026474,43.363550575555784,41.4128009780256,37.093712765956774,38.82709815825363,35.299947336429945,33.043893348737754,33.63069017867176,35.568069294567564,37.47481179261146,33.807329153771654,32.66675179838191,34.1744052083551,30.504978367780375,29.42736282961298,27.487180863286493,28.41465853891537,24.877324872466378,27.12556211035553,22.924749656434848,25.73882796575208,22.650314357057113,21.221117094385594,23.939925306797704,23.35133910106502,27.321206967278826,26.760518026968157,31.217101912111954,33.06602184226805,32.557626278714274,34.75109197836229,37.23059982690032,40.87137010968685,41.24212540733617,44.288554554785925,47.41924353924285,46.42107151413586,42.544695989224046,41.853621361565686,38.34427167164719,39.23874725888346,38.346428154023094,36.79588145907556,36.27259477529112,32.25289542303677,36.78130540119149,38.55630020092734,40.58065560613625,41.87143433898207,39.14985204472753,44.74886298303894,47.78994018077085,45.19077151787845,45.80937280477865,43.0527036686624,48.47855998461087,47.8484499211914,50.38548041870961,51.83606065872004,49.17701860009935,50.281288199791746,48.73272402593773,49.30540625208718,50.377503961319945,46.59951111812325,47.19149592310801,45.52943676450177,42.432736765464256,46.18393640158655,43.32185381930067,39.90663302273593,43.0170687868866,44.954404570453896,40.35054250074985,39.84814878371016,43.4609688613181,43.29119231565847,38.19602997915325,40.33443473245371,42.6736516806792,38.68292303397921,37.344486038207975,41.819067637130125,42.573211187938625,46.545182914810034,48.13467513524617,47.55208190460031,50.201841343451434,54.883563135665966,58.463370358728184,59.73943045207026,58.57893843328901,57.2489471246889,58.81438444445723,55.45551109311865,59.77599756241807,60.00718832565785,53.8508718582838,55.44212387498572,59.708522470410955,56.443506325867524,53.52240751369787,56.34366965689071,57.61441333570185,53.69233314259975,51.332545967661304,48.677633935604185,48.666447216979535,51.670505138864435,50.85028081475003,50.94238136828418,52.53724868715088,48.625966827649904,46.993031632711286,48.94191659183066,46.94539939510622,42.85954040041449,44.39779360304944,45.09517127362785,42.25243846024445,41.457311950438154,46.245708920982864,45.147690161461824,40.97380326327354,44.488454661119974,48.31228359567453,48.439419015452366,50.85184778686335,49.5714279468276,53.780615928729006,53.20534328205354,48.08653702472784,51.2970207564458,53.82916930724835,51.04777662283715,49.40372348157418,55.41539265418208,55.104178682100304,50.04238992226448,51.79032317648429,56.85922007554006,55.585775947885466,51.73453684364093,47.210087967565215,51.41638207033898,47.36134483195975,47.90146068324927,42.464405239161444,41.80028151276887,37.10792147376423,37.53960154952189,39.430840377540484,42.62344231888664,42.647375086442985,43.96458978953512,38.70577133328205,40.03842368558932,35.473893713242305,33.97231806507007,34.741109618349775,34.898517072670295,30.634129125156687,30.569802833975146,31.4595460797772,28.752330553081155,25.830913757994097,26.30858976919498,25.129953130540486,22.811756775663,23.196220243235683,23.2033460832932,25.05099053565215],[33.48446370169992,33.383606425879016,34.73315700187715,31.09852965153458,32.59920196780957,26.98320259604249,25.031699399522264,23.755171595645272,19.224857939090068,18.428621684476965,15.215054591499188,16.13507069783283,19.45968568165029,16.678353424589297,16.058054355181454,19.14021924466571,21.688799168117917,23.066914825789237,26.418777297227276,29.338089144573082,31.959332306822823,36.32288098653882,37.11150800915009,38.44069471033956,36.500907416024795,32.32597648359608,31.682570347872698,27.97826699590922,25.768174410076135,24.40932416373056,20.869755883866713,22.89130156530281,22.431575276396934,25.45309162369049,26.732365114103796,26.90529362170744,28.31469755499378,31.235475504527813,33.533565896779976,39.40219523843091,37.73771260368983,35.567559231262535,39.42004827500892,41.36962986528236,42.7250370313986,43.9561072762016,47.30931473629779,46.06688154878561,44.484421061494274,49.88728171804022,50.03742304115753,47.43857532193969,47.50164142587283,43.023971570909474,46.38079264433856,47.391149909128714,43.38728318272897,42.20643867223381,45.688046201287634,47.043160107042915,41.52333256523771,39.3458425238875,35.70998417537578,37.86820708254534,38.025030977429715,34.42913411258869,30.374805257990587,26.542330693187797,24.235311057268937,19.96500698932663,20.23570648101369,19.9275396075865,20.348800646253643,25.19371111827306,24.062233027286837,28.572072456782635,30.70289955893778,31.560028076408333,33.301879196805565,36.6461685227005,36.14898716982579,39.007321423889735,36.78009705820978,40.337651502169756,38.57296096704192,34.633548654510406,34.238880637611665,32.56029345769866,30.62472499453588,29.73936715414128,26.26036656479073,26.028080355655312,22.186715690301735,20.367697673596535,17.747590492766523,14.586704657410252,13.083046999918047,17.761842091435394,18.265265024493473,20.805185364885038,23.937510476992852,27.62247491406504,29.42439924088967,31.943469603893128,37.257260728001775,35.67168995694374,39.597973985277065,41.45381345544534,39.16627786662718,36.19709400983901,33.40662170686764,31.33895459922415,26.948517359194845,27.89995132937997,24.011210150136403,26.10126660511685,25.791359539825603,28.932858227981615,27.79556854537912,23.68102027544794,22.764112328346084,21.324251473418872,24.571522841890953,24.128235364910555,24.06752633594897,29.244373187995826,30.573520867834468,32.913131010968065,36.087091913294785,38.3407077492931,41.443680108427536,44.704603892368915,45.18236807908768,43.04277958906789,41.3620024892764,37.101763297371576,39.33649965481515,35.66388846340261,33.43807063986888,33.5468437806012,35.499890511969525,36.93644487032174,33.035172470686305,32.063384104902376,33.19998222550342,29.377133353143098,28.702905435822593,26.74538608468094,27.8985500451459,24.67250910989082,27.036234635104453,22.906927191092322,25.495244633213193,22.74449357537848,20.576737742625465,23.041872996812213,22.43307723074847,26.606754787930903,25.65352782123484,30.58094178517326,32.46145034748696,31.413748328435283,34.05401221610825,36.105393986217585,40.1129971610917,40.87770117451286,43.971699403631455,47.22330285771126,46.527302072411636,42.68513169597039,41.895840527159024,38.20064949159093,38.68748932417245,37.529812850420406,35.67934041833893,35.04455915241999,30.79154373947235,35.097109369302615,37.01111444611906,39.20194091419683,40.76818000487021,38.42296800541149,44.02309121901607,47.051443080390975,44.496631529458135,44.69929039707574,41.747103128314,47.213502555435056,46.866782319107934,49.48241546158483,51.161683504312066,48.51529178050566,49.93353338195569,48.58678325814354,49.32559602245508,50.66694062739562,47.10586548181939,47.74172249864652,46.39377335297489,43.129554194719354,47.04769878825789,44.05336519866093,40.78426480128983,44.24214195272267,46.10528106930437,41.53971379812934,41.43673324256116,45.044454934979065,44.658546444927545,39.87050993513096,42.24331904077681,44.52321743987681,40.47446483085125,39.48972526025402,44.05663161029928,44.774921238455335,48.64218818683764,50.31450322108249,49.46397887759479,52.05738645404488,56.59710641432672,60.28006136814167,61.346123999926405,59.89378972301531,58.39946211617601,59.729698182464176,56.161858093841914,60.45602551481113,60.9762549163247,54.843596731313625,56.151250393036825,60.56222102336697,57.52377881227901,54.43022377706934,57.06216370334371,58.68277662368413,54.89914134216106,52.14918823524488,49.675167495570044,49.168442155539196,52.168788444188635,51.46635064687761,51.24734345977664,52.83374896532996,48.718230509436985,47.388969391334626,49.525759546090804,47.27136857057837,43.31079735412373,45.22679523445946,45.87108346294056,43.03987891025575,42.56034267606726,47.3740067467875,46.25109712009362,42.293865090249405,45.99630537226571,49.74687945940971,49.9142796760409,52.08596888044447,50.593890427198374,54.82754639273084,54.57953548864969,49.492429457788745,52.46306155408137,55.24866625341041,52.63165781317323,50.799073923417424,56.78707752891342,56.80028325311332,51.76252377378851,53.2413478128715,58.425062817962825,57.42779051557243,53.612166437861944,49.201635763051875,53.58730805624875,49.69318415944279,50.245677496332455,44.79596494440765,43.8365863596908,39.15671821593767,39.825955379843776,41.49443451293132,44.71537171571872,44.462771669818835,45.54294897801367,40.10624734907641,41.03735452646096,36.431821701922786,35.423028250531345,35.778101731004625,36.071569888929915,31.397640870745928,31.70779116827691,33.07311657825862,30.205297499340976,27.060176452290687,28.34320353759642,26.968181622662055,24.315871989674864,24.275531186039228,24.2149745866105,26.06965457912098],[30.46703713089265,30.064973052010615,31.20517224314129,27.343680637063386,28.50408105211695,23.04832995362609,20.86410719722647,19.690861604483093,15.103619099702463,14.11677686032121,10.975883361404632,12.297427671984542,15.394821316084917,12.54944265405504,12.518517717676433,15.649498102044147,17.952210818499626,19.87874669357392,23.46664290729063,26.291466028318972,29.207291258596424,33.538173034741114,34.476349012470706,35.6153615518548,33.40249941768585,29.175090363475434,28.223733197539897,24.337817666430162,22.271452390531046,20.88556608949936,18.223919349964653,19.891740269388574,20.171706036036394,23.490204132898562,24.13110151119191,24.005689480017452,25.099682548650545,27.88293319673183,29.972165212107626,35.93034378459484,34.15044939243074,32.33497212283888,36.325325269797816,38.07796187659351,39.42592312207048,40.442561055377546,43.882336029430874,42.75266002079401,40.91873952462873,46.320748845652645,46.581376480249965,43.98199893566243,44.26205437498308,39.661005247674275,43.28512971763116,44.468121962422046,40.43746871484784,39.40660054875606,43.11731286621507,44.39851249921019,38.94888164656244,37.18382346849255,33.71713319741225,35.984388261969585,35.719837675832316,31.935379133485508,28.08192664683238,24.124630772239087,21.850400464355825,17.56397631145732,17.87491308615538,18.337531790089816,18.783037957766997,23.59257032280652,22.205395839242257,27.299179913730484,28.72940530037733,29.929949346686318,31.168685035806543,34.20341741369394,33.411941482627896,35.90218715472774,33.55866420394707,36.87124864940334,34.94543984659296,31.190568062197276,31.108388102952585,29.661180414947385,27.96566400503823,27.70041072849215,24.331615327764798,24.860749116194707,20.880429957208744,18.839678168623564,15.432608751734369,12.93134679368855,10.321790608273888,15.14483162903156,15.161215742065698,18.103253980045423,20.88620606313554,24.30246797509133,25.992945356564405,28.231157736747253,33.43124487290477,31.637716576391753,35.616238364450275,37.32388893757354,35.001022418668214,32.13763137237492,29.26266749984382,27.10117335888706,22.680906961955845,23.588821311257348,19.77163027289298,21.94471385567883,21.86930396972948,25.138644872382862,24.49734866702943,20.235996428646427,19.208387143904304,17.431199615436704,20.61565431091172,19.954282146650865,19.78931462321965,24.93835815174694,26.328272315830237,28.607320166156295,31.805244963420172,34.10870912357269,37.140697493376514,40.4473113032996,40.903704255237265,38.85896251413037,37.07904030619804,32.80773972780129,35.0161349766014,31.391891307934465,29.253611555429185,29.367540518239846,31.53881364658677,33.16326452448349,29.296457289694086,28.110600213881956,29.342417734924098,25.518306089556244,24.646497077765535,22.638682258115796,23.741794022987662,20.490234894745555,23.044219780122088,19.12343913880287,22.161456957585226,19.959568425313265,17.728856242330036,19.81816185229742,18.785745930464493,22.85917739212882,21.84903787657992,26.560858042573354,28.316065788280643,27.502059275050094,29.988426855495376,32.21396331599211,36.07404017272391,36.7819509611484,39.791599420317915,43.06550164176811,42.28208476541218,38.46355120597638,37.63026117167165,33.97539999419535,34.533478701214726,33.46638462389583,31.764579736181176,31.25336672737103,27.121988646766734,31.66916696855366,33.37680133062404,35.493062909212355,36.848327028790166,34.369736935281715,39.94933631627211,42.967816123301425,40.38824937236186,40.78977999061501,37.97470908086466,43.43865485445352,43.039805516948704,45.53284979462172,47.10618376137358,44.41972924629612,45.728327889195235,44.32459593877111,45.035328946227196,46.351813608218826,42.781655188132156,43.44556101226185,42.1416691349782,38.91954287477951,42.92223206312307,40.02038547562435,36.69552111584744,40.19075910396071,42.17239907376765,37.68259786650601,37.52920936855619,41.23807846508229,41.017685918479096,36.26797854271284,38.69181867900888,41.105023264953374,37.17655954347152,36.20866622765003,40.8409046862373,41.36222615045662,45.32349117406832,46.72521525490655,45.78809437615609,48.47412867587694,52.881287543538534,56.70750361954441,57.610989455951376,56.12904996766461,54.51267132320715,55.80561837916003,52.19338522458808,56.41124452105537,56.94041485210034,50.77387333711623,52.02463111705369,56.391828028180015,53.365755806834464,50.2288252451453,52.81094005556778,54.449686976661646,50.693609249566364,47.85994903892388,45.46481348543668,44.95185192215626,48.0016046674356,47.42439677559984,47.27131260799453,49.02904965712325,44.88994964505141,43.423337647002256,45.754121979372556,43.63223363372298,39.53426160240226,41.475401886968385,42.36661317719832,39.631799657003825,39.033370111583004,43.938621157449084,43.03753812177642,39.12125218225908,42.702267878363315,46.47381276403169,46.45224800324696,48.51557408187947,46.86810546021467,51.04384552284364,50.90816206775755,45.727200364243075,48.55131569263324,51.3836598031048,48.807463859110705,46.80459339924985,52.77925088165262,52.89095850347063,47.82190407042793,49.15056221979598,54.37806105793079,53.48661969547454,49.671196359554195,45.328580617158394,49.787056166993544,45.99890787140148,46.64672313254083,41.18116026873726,40.098023535811365,35.49002198067714,36.17931825004699,37.667103626646295,40.86502356350008,40.45860600507085,41.48339387009771,35.990705023532875,36.82544880122456,32.197840043721946,31.442211787133015,31.820312415149864,32.341471841190476,27.604218152010667,27.756490391731955,29.40829221277242,26.74574622421149,23.220465080237986,24.974227624997216,23.89444495934233,21.35613835071743,21.34906890455773,21.622890734847797,23.672283008399216],[31.240104431434954,30.950240331568715,32.6218497637016,28.189439025314652,30.27906682384907,25.09197526661781,23.346916868393105,23.246321924984223,18.388329229198284,17.195671610455104,14.86134805920699,17.27841484617821,19.40565015529389,15.464653391445493,16.450195278753007,19.856352825369182,21.048431757047712,22.733361959855216,25.23966253455257,28.812759862076796,31.18225834475865,35.78086354389049,36.117033513975706,36.8753596897436,35.12752872527455,30.72115654871473,30.396607714316026,26.72284258888951,25.46855820662129,24.949339328447618,22.267956260830076,24.786277929721603,25.314843277348356,28.152720746921226,28.68154315719904,27.91008509680893,29.530940851839418,31.38269938338982,33.14253853046079,39.38794955253647,36.79724603932316,34.91933970109812,39.06247762306915,40.42454686991021,41.25047120296058,42.19891403144564,45.4938273473593,44.80814306811709,43.29032258753176,48.59546159642959,49.286744995243446,46.915799802265184,47.40115795586541,42.89823329399467,46.938142388192574,47.75952285015311,43.59887645079123,43.0187154913943,46.656769738712114,47.41497001213293,41.839344202467984,40.20001743135964,36.899917772601476,38.45013670131082,38.17523649275283,34.76368686850789,30.147963602083728,26.71812608062164,23.43233489412304,19.631407316863655,18.930165134361072,18.61616611301138,20.35102583097611,25.129762362123525,24.93934473837561,30.1527619971977,31.938476150161822,33.641017725046204,35.02310345705943,37.98086193723829,37.67175776612552,39.971897268493905,38.11362356031061,41.12308567688289,38.75166237706164,35.259472090932114,34.84647886438003,34.058803053206944,31.697113589002775,31.985793820627123,28.168041009037157,28.364954311862057,24.702693444647736,23.328337875029263,20.058775084508007,17.623353417193062,15.093999519004138,20.551148631407557,20.69101235743544,23.907300032665425,26.362991432578095,29.68191698358566,31.08497038664567,33.1088828301116,38.02559667696781,35.83517241230737,39.87666643431573,41.131637710914916,38.4913885135304,36.08252629500062,32.69824886014016,30.553133796614222,25.935671556522497,26.303591992847366,22.380119072577255,23.699096160835637,23.71547908032295,26.17855614504411,25.489117880968394,21.98930115755939,20.2147750068456,18.82167680131534,21.26177731626012,21.22791238671722,21.61086959446494,26.904221922792907,28.829976943667663,31.3427278367544,34.77799620466513,37.549753248798226,39.9346020088188,43.65109623364864,43.925924903702494,42.437705416124544,39.957041706357174,35.53945453246805,37.086929854567806,33.1273482496885,30.491174294687678,31.24523519520936,32.512371398928515,34.32442483626837,30.831560757934657,30.02661331046638,31.775199102013943,28.501788397881693,27.40842033006208,26.0950092469665,27.513596252213283,24.36947367062489,27.323045301035837,23.695633224707773,27.192391509040615,24.91235579903543,23.20762993315395,25.260463294834498,23.8831455522748,27.74256511109225,26.53346335936585,30.824383217805178,31.83449401885916,31.11898118601829,32.69525774678402,35.39013386865509,38.78733522896635,38.736098323216424,42.11528004777372,44.968696970176694,44.13910113655016,40.13878200098148,39.77342323996234,36.2272118601554,37.49142583543405,36.93537045173071,35.661373215882364,35.668374391365866,31.613688407397152,36.524390897032646,37.68179246583982,39.90319457235994,40.629533548588455,38.3069279469752,43.673812467592455,46.48916610366962,43.6503415053693,44.05578649514852,41.10769992388055,46.380525086499894,45.294401474699455,48.14920007171101,49.62473190975485,47.21752726972455,48.410055705915894,47.019233625639835,47.76512885966114,48.93073053155015,45.11558840659381,46.112893820876735,44.63530574785493,41.86372146082843,45.89466982212647,43.383422281146835,39.76118569538165,42.78408444219117,45.13981896312636,40.72185341862247,39.746077043792944,43.67390021181404,44.053394428539015,38.826799959094146,40.853056593974785,43.538572099972,39.81777596053558,38.16556724988734,42.66888930217306,43.046540680919954,47.363753740834326,48.19320821154385,47.76262778357743,50.710676210412075,55.21263329144574,59.028016241256246,60.11023576738462,59.08120273772137,57.539468785818016,59.09491165938083,55.66821879933774,59.76638501006499,59.95528944653006,53.68422064304758,55.16650921438395,59.21883818092714,55.88276819312856,52.87146412365507,55.49109656144691,56.62998716229816,52.73313087274341,50.14841074122311,47.92909982448792,48.0680376315912,51.26986662378818,50.87524413539718,51.136709029395085,53.14378077392487,49.143854558098546,47.243487617986666,49.6465409584241,47.91054038879625,43.57602210863936,45.130264457853244,46.30392224211826,43.62720803758016,42.5587802074935,47.490886494066345,46.75435461264202,42.57543087467476,45.810126322456796,49.70146630916162,49.48477657323763,51.808301312263744,50.29678140337577,54.36512508898572,53.88907255405334,48.544341801520304,51.52295259513995,54.019077598735635,51.2151179448545,49.22102302500674,55.203413627811884,54.88481875923451,49.65757164262531,51.144117769475685,56.25982253525055,54.98300501428446,51.029184222350985,46.54823024923498,50.6152803252536,46.53382266227666,47.55805708639788,42.04994787681653,41.604471834598556,37.10993009349791,37.058663178825576,38.723555089294514,41.6651187017083,41.577332000018686,43.236679443620204,37.96400602363282,39.28392003858451,34.62095818107742,33.77457156147641,34.942170903343396,35.590514362377135,31.342132756398627,30.743234614941915,32.01141131480768,29.84747807499696,26.256462818562827,27.076147791110664,26.61983687706787,24.653905652305486,25.193710506095957,25.579573417461198,27.579670877420813],[29.83701102843332,29.211953094767008,30.82298401255908,25.829434226860233,27.81543392310213,23.100794764058435,21.205150788513286,21.715222463486047,16.869293019220517,15.162007141075874,13.442211798392888,16.645762094649122,17.777109558961694,13.343420369832518,15.216880701014542,18.61572348846343,18.966737390382974,20.85913923467766,22.96121057790717,26.738807992430473,29.05433990736341,33.68599356812539,33.88088098651349,34.32215047251097,32.57084231458497,28.09340994153896,27.82589597383587,24.186249024841942,23.467433114046077,23.413397408653413,21.430263951563855,24.077365329545238,25.246169570171634,27.96843573830821,27.950722213560777,26.641098826778023,28.28654086849937,29.51325655287022,30.93905081585988,37.310997666820704,34.283269960860096,32.644592683571794,36.91464201560962,37.94744215060624,38.53796442287159,39.304332873150926,42.58125576829824,42.16180507644044,40.61846858449848,45.853855853226136,46.79742713620242,44.54019170661861,45.26444307204209,40.75600010657136,45.14558363332318,45.9166947233092,41.71431533671439,41.45952825259472,45.20297942718301,45.66607564778656,40.133029434320996,38.892111997486914,35.839891693225994,37.15278037866886,36.53079669011129,33.1708603933808,28.452429181553512,25.222372136319628,21.586862469436003,18.12484646620612,17.004377400366497,17.068069177517998,19.314603527355615,23.900888482467032,24.014760677370255,29.64713307963604,30.97858814744221,33.15784864260101,34.183230998258104,36.823065769425746,36.53345583515235,38.44547153730776,36.794669586499076,39.44851779059995,36.7641345110661,33.56750407784289,33.198272708967934,32.92747386236783,30.444046709229124,31.476743873545438,27.6059194566003,28.25925723752387,24.713531053418528,23.518627653841467,19.86253747278584,18.061934023057884,14.983479714303325,20.573896929800313,20.523876412081457,24.19810693837056,25.98634239158234,29.118880364394713,30.123157596420597,31.921864693856705,36.49589675981175,34.077502890189386,38.20311851360296,39.13123666970774,36.43168988185045,34.33112634740152,30.7595774854422,28.418056513017866,23.80534103183284,23.722932635304783,19.773108388762104,20.65572901714308,20.799888136971983,22.93240149077883,22.571521383761286,19.38675597086018,17.203992293812284,15.816575181112219,17.853955230159904,18.065741494838527,18.805464791128237,24.02253634481345,26.43243376146811,28.83364732219909,32.36705917749901,35.269241451507106,37.34376430624377,41.23936689378798,41.320342283765946,40.14231462569881,37.27777609188025,32.82248250985587,34.12239881671654,29.989864080722974,27.17506481958474,28.14804652216871,29.10880605106789,31.071411094936188,27.781395292008547,27.032764113571353,29.049729138720195,26.09544963802536,24.811138747259257,23.889984560885438,25.49462048378839,22.580751663411313,25.92667000286953,22.809740711479733,26.804107140416424,25.164637788013398,23.491713688027694,25.036966494344444,23.116286338712875,26.70790206497484,25.232435362556505,29.124159410911503,29.56632203720435,28.980023755127746,29.99029793827803,32.96745258569598,36.038218419043396,35.627635841717094,39.12341793951003,41.79218287403558,40.95093198625713,36.90069829730253,36.72535777087477,33.24235842486549,34.840296109007106,34.58557238698148,33.62107348044506,34.00436380492989,30.105079230732464,35.29878380312069,35.98456447171371,38.21460888468559,38.46732195054419,36.24642490149335,41.42283074515604,44.0920627479233,41.120143227115015,41.59217996474483,38.67177085590614,43.815260631321046,42.39841088024816,45.33295318999348,46.714604605538476,44.43454448332195,45.54778439985882,44.180754489596296,44.969675667726825,46.11424166502564,42.25012332640323,43.472927752246854,42.066548006361465,39.549357995133406,43.71429824802849,41.483548610896335,37.724343713968665,40.6239411460939,43.263122043251094,39.012390899481574,37.684563859953634,41.80570893538165,42.59727891993933,37.31047276880475,39.240835025042,42.16598504808689,38.688657390496665,36.8324150655423,41.329914278691106,41.41150939107827,45.948095505346366,46.22056448936126,45.874554407556694,49.02073900025212,53.36398954043937,57.338991332673956,58.270388307178976,57.348217376723625,55.66993254140772,57.23523614152907,53.803965814780895,57.73410235866201,57.853973571411046,51.52833492605336,52.968642049912496,56.84363543337747,53.4475075654242,50.409774726187756,52.9194866873202,53.928402240855576,50.048908404614686,47.381893376638466,45.417466361591586,45.729001047986834,49.04433845641199,48.91908110425516,49.3585230762326,51.65328782059838,47.65974064276394,45.511150113226925,48.1945251063901,46.716925359517134,42.20237391240371,43.69319827228036,45.233562569466,42.709917352002826,41.39713229909109,46.401617302177655,45.96659046434092,41.804588823830194,44.77661976988334,48.69737408194248,48.20612145929573,50.45674264277886,48.79558983746191,52.73367842611203,52.31117352357911,46.82697852156834,49.63483431308197,52.077809685544366,49.26836022484187,47.04512929849465,52.98048962011265,52.653986783092314,47.33934291712091,48.64956040158898,53.773423265039774,52.50538373698867,48.50397470164834,44.079831595437355,48.06243892490531,44.0095127996078,45.33962131502042,39.81430423907494,39.480247352978715,35.164264993147405,34.81024686583195,36.28179296195909,39.0479969829898,38.86833657390166,40.72776810909622,35.48859194788617,36.82371969221353,32.144792343029664,31.710132385632825,33.184542142321824,34.17787513133833,30.05514194452005,29.0135867517316,30.51833181484415,28.81910907834019,24.794606005963608,25.85048561149586,25.977931931971366,24.360355085833,25.052359338866395,25.777135461162214,27.889336799355927],[33.046426802092924,32.12218838935131,33.75331584070842,28.039830545720047,29.90943814491968,26.07810420082234,23.976974084965907,25.16970011472533,20.536882509934383,17.957063330970833,16.800419976432693,20.5266739609419,20.248154242147564,15.37675206502055,17.301616967774628,20.576477378967684,19.83294521394984,20.971275385292024,21.711657444645535,26.030071111915326,27.608933343117364,32.32883230898066,31.90608918186686,32.01473249196816,30.832430006341944,26.390078659380777,26.896755932124496,23.810510459918966,23.878178865054743,24.844487011333694,22.73093947776034,26.304627916229087,27.676749924341593,29.64967126649671,29.44331403820216,27.4414787609066,29.75887367042963,29.8453492208222,30.971415661863485,37.3937741366191,33.65748735455801,31.79967092296646,36.03666398189431,36.72555936103261,36.81585692772153,37.65564089058243,40.67736986558659,40.57757958247725,39.53783498240868,44.58364564626509,45.845981720831475,43.87025677755616,44.68942334666526,40.43610727436434,45.09975530725663,45.38807648184713,41.13531977245446,41.36648131023943,44.91735594081207,44.79023103873864,39.23818192667011,38.17852187827834,35.42688281221089,35.94275186160922,35.27889849421157,32.42115569741625,27.121240710310445,24.626374744758547,20.212055981488493,17.64229316054214,15.596910117517124,15.02957633598073,18.363398374187764,22.45715456714837,23.7498708299709,29.338091054416477,30.78921342979118,33.52484358487609,34.574958230206356,37.01501577081853,37.344148257121255,39.056306544080236,38.164099416356436,40.48751878557021,37.40909067873432,34.495985413170786,33.56914205344869,34.0647083803284,30.822665976268176,32.50730716129817,28.30772258048528,28.780923017514002,25.76733689154184,25.35712952004364,21.995004257835433,20.586382660154285,17.832822777766317,23.673523556381973,24.062363857236527,28.382166869667905,29.17614386692941,32.617880365902074,32.79457896326326,34.820746361793724,38.84938951392375,36.48553364474881,40.78924745012424,41.34196245729531,38.76446125478521,37.051357751485995,33.42588863123808,30.618000115321948,26.212595218360963,25.2033756942406,21.00465922500836,20.905979232272333,20.534016860221442,21.69082410599231,20.76633746213748,18.6485126790386,16.145260347208414,15.754753087164211,17.31942747466642,18.600012064335584,20.372939174506396,25.152860765987597,28.57807512538187,30.562638637887762,34.1828096609897,37.02119016324795,38.73434012971108,42.82723787330461,42.39012852861787,41.614222504750984,38.187233001239896,33.74678718813082,34.79423283790714,30.174918076024145,26.88415243674242,28.030949221873904,27.82151813031559,29.460997050409777,26.54276439556494,26.45195590256549,28.6860366655059,26.437387583592347,25.303061940783365,25.31667761767336,27.493426930278282,25.259447762100024,29.159056918602715,26.71961459389794,31.046077940024325,30.030983721535158,28.133743349251844,29.12331738578802,26.646598675879506,30.01162691086281,27.875139897757002,31.51145864503343,30.941211817205183,29.982486855676466,30.187460893563312,33.26607785596365,35.97852904405957,35.017894173172074,38.94245986263545,41.155324391028124,40.625547053884794,36.484885233161386,36.79201661917085,33.33437514293464,35.34443837915724,35.49939861643808,34.853669287093645,35.84203987155404,31.974377634254758,37.3637986138803,37.350363664168164,39.80595986521199,39.42340524939857,37.849168620055366,42.60868918775908,44.93130090968633,41.715021348723255,41.78971473094682,38.60807758515409,43.430542619803724,41.42647760375009,44.8128231021335,46.261738860503385,44.3878835712289,45.66166730926017,44.569763515038446,45.59663641921555,46.8692937157531,43.048990974341166,44.77028007843549,43.63378638198115,41.5592866356467,45.95411777487051,44.14978167753958,40.26381701802597,42.99410113938783,46.027629101656366,42.06150788163809,40.255564201574416,44.611073462614186,45.946814264540734,40.632349685896195,42.382350696738555,45.58395496228743,42.42971227005152,40.28555337232787,44.691660412955635,44.414993662410716,49.21801548666173,48.70052648766834,48.56298821832471,51.96953466794926,56.07893030467199,60.23320213265278,60.97476461128499,60.21746602681103,58.34578936012349,59.881793207186206,56.417333874696105,60.05650677980241,60.13473988729665,53.767328898967286,55.0587951069456,58.639807729020816,55.20689915183545,52.10867328144983,54.33274191267125,55.16932169369442,51.378251522379024,48.477678368351675,47.090795743843046,47.5593345556559,51.04308208067135,51.400345831415585,51.993402341283186,54.678603168576494,50.63494407675729,48.27653458017776,51.38535983174669,50.16314843103927,45.49969535922951,46.996741777381104,48.951821096255685,46.61516350531766,45.08965361450824,50.13779419797316,50.021961624422104,45.9143569745489,48.59114399188392,52.51727862334709,51.721027208146936,53.866165389378956,52.009918525053315,55.75178982088748,55.425948091175854,49.79784866507355,52.32741927301264,54.68636903542253,51.8855454442762,49.33190704377342,55.13927918114922,54.78536141982895,49.36808632139479,50.37089724825168,55.46100566806667,54.18033781872481,50.116784310574964,45.81416771898261,49.52023200662507,45.479818079378106,47.35618242309798,41.87549017392046,41.85157136455815,37.86878630521393,36.94837397712102,38.148165688150364,40.521845451055945,40.24842134525431,42.50652880076373,37.405947567918865,38.69490682223707,34.05262387581706,34.371411705228084,36.21960522408936,37.65799577561153,33.67300834840922,32.17274342802126,33.96671240769653,32.813037803605056,28.387121307490037,29.64030597732426,30.361087665193544,29.052001116174072,29.8030583944106,30.701838337393323,32.82930622492407],[29.679190300290454,29.348124344566358,31.495405771373235,26.467061929960014,29.522730514942854,25.01836549591656,23.92781278936055,25.164802904968717,20.429350374030864,19.324069489643527,18.274179939264933,21.593777034664,22.708549962037157,18.1782291232061,20.67698445245592,24.022599210671356,23.880780594399372,25.86421969353925,27.365939975891564,31.42057399755325,33.449246114427794,38.124010635387805,37.96601587573123,38.03214119862984,36.543961118002386,32.041482571918245,32.04246179678053,28.54832400046395,28.38674868179841,28.62687765751506,26.97038384727671,29.62476524619161,30.92348000965219,33.62310472429956,33.51705639961782,31.99127852570678,33.6331982471225,34.473186256923384,35.58849248989971,42.03236850476746,38.54042455008045,37.120561418272956,41.463601198332746,42.129003707685165,42.33087511907286,42.874474279622376,46.040002972112376,46.04807535103854,44.58046469611778,49.65679416272679,50.964319765702584,48.88306184435001,49.845848790013214,45.38054533654292,50.061476473600706,50.72234877669598,46.47880935358923,46.51044303762317,50.2589682765496,50.42498243787648,44.91241696635754,43.85460835720243,40.94846506838846,41.88723722883448,41.18904111902191,38.04756718192343,33.05286479717285,30.173117907811278,26.115090348367126,23.082485975476597,21.46823857906111,21.152597158349664,24.04866129782546,28.43608739181844,29.134194325741433,34.73215306636606,36.165819605460484,38.54239029997999,39.56957304523444,42.09906992147863,41.907501724964206,43.59910687883848,42.03989939073901,44.43807166812396,41.53096742068249,38.6092019555539,38.291227624858756,38.32586098697539,35.73399105040213,37.02901538828895,33.07271018379682,33.61003216023915,30.195433711508517,29.151063050728574,25.539842999541108,23.704543985058333,20.65958877920951,26.18805003689724,25.913114999323575,29.26585712683605,31.355454287283923,34.06073207623176,35.2746045177984,36.60136953180635,41.052101995200815,38.19708552469122,42.1530431964921,42.73123401544849,39.660992863733625,37.95012656288138,33.96297460560373,32.04486847476792,27.387954169358707,27.25347140904261,23.742880529037503,24.082166657865308,24.684262326099187,26.143799184072083,26.224161618884782,23.71009597130284,21.01993633945771,19.715673755963078,20.670716548514076,21.037801188586926,21.740285187753308,26.81777580633178,29.090216287188955,31.86406417112905,35.44523905006214,38.834920432392856,40.24303140419991,44.402423755671535,44.57302635212864,43.887971872605206,40.588258340349235,36.131182301649226,36.67528325103665,32.63267974175968,29.6435058140611,31.297151058245333,31.737553779029323,34.09363285456867,31.291054804401735,30.64130075093725,33.07598253784037,30.549754122443048,28.963825987460293,28.332345644889806,29.804636962845713,26.78274101445674,29.988911179316972,26.931472001528906,30.99481880600822,28.980314638507217,27.98107608716987,29.790160643855778,27.97826209779025,31.33118187775764,30.1538964700133,33.54130952122913,33.74011139437588,33.575583418090275,33.91302368237025,37.290453692771855,39.84465100314536,38.79883544439161,42.357005023628446,44.67122023308295,43.58248937540684,39.49965795564628,39.64172437898834,36.44963537153308,38.62953805961868,38.77145827528034,38.18000143857654,38.77756087981559,35.11268071603316,40.434199633793924,40.89692859596324,43.020538701033615,42.88994524831397,40.49317044261689,45.510715852930005,48.074236139435826,45.01334614398301,45.77085145322532,42.97287810700209,47.92091168122424,46.01583241818552,49.02304111263644,50.174263065572696,48.04931383259308,48.856855191368815,47.35884641415398,48.01699278453038,48.85223694621726,44.752142923018305,46.065739664325925,44.32320582100294,42.19255794820739,46.14025254904645,44.21045430191775,40.278004345512585,42.60390995396642,45.41328299021153,41.22136363691466,39.20141550251045,43.33738370051234,44.55189636109905,38.875566949245105,40.36249599664539,43.396881587407066,40.11372704759424,37.656062487238145,41.90576767210238,41.970594220322496,46.692939655444476,46.630284519221604,46.804301767745486,50.07292048493536,54.55586338388299,58.36765051723306,59.59186775186851,59.15110517239033,57.68519419869028,59.56336020192154,56.432950391298334,60.30977919529603,60.02483444075216,53.70085158760752,55.48403577765497,59.05878541147813,55.35234757261967,52.566375267989116,55.235870980452134,55.686575266489406,51.65841474030458,49.50427971707383,47.482044810092134,48.51513306784289,51.84752611494746,51.679817442808016,52.5370654407358,54.883081372437864,51.15662057067606,48.63804987834565,51.12401764603016,50.001514869648155,45.37619904006957,46.37323695961883,48.004012990021934,45.50769966557929,43.785246506021856,48.69113895573829,48.309290223993166,43.90961429996591,46.55001973443034,50.5293302243928,49.95599855714568,52.51997334831718,51.1454696002369,54.98262218604936,54.11074202512577,48.607392399947976,51.681455237462444,53.71188355169624,50.676623794697804,48.67984067055448,54.56790691777056,53.73084398692974,48.38657445174204,50.02029071516709,54.91745755225248,53.20210665172944,49.14438904005191,44.5972757846397,48.13329488200598,43.80877951005266,45.31136411650866,39.86723813253626,40.175006821257334,35.99357305736907,35.02359962448957,36.78617022957739,39.325510197084654,39.60146944413628,41.98409269303116,37.1352478730353,39.042061692828845,34.50478114003518,33.5654534843482,35.70287330889915,36.56834318518742,33.09294065522258,31.507815809593033,32.343314736515936,31.015352395297246,27.367456116848377,27.212026616085492,27.746389625709526,26.677637099106807,27.85245850069159,28.57757557462337,30.549857978733865],[29.177053099065567,28.45703953894008,30.660290785049927,24.924516210623153,28.170263969553424,24.76368662655023,23.867345496943997,26.15051813688651,21.83673193172477,20.397414628463572,20.402657295659786,24.302807472967014,24.196444584410195,19.490814313763924,22.882010033208,25.9627590701507,24.646869928200037,26.72420384739991,27.3115165374589,31.561861773922313,33.27153262236374,37.84714448834062,37.322881404106454,36.77565414773084,35.48483977560485,31.053271939850408,31.30305140681782,28.13138789344001,28.935366076361042,29.89070976263084,29.179102795105376,31.92693844934278,33.90946731425462,36.362576021468044,35.62487410962658,33.42457464157947,35.08239869598952,34.92525994740581,35.43681046060247,41.883596582700676,37.673867062295784,36.69201215939522,41.10058539694235,41.13667244442697,40.80668246184913,40.9875295316271,43.988226046638964,44.5803310033657,43.18005704813679,47.97447533323813,49.780572226561645,47.984181584985386,49.34785769999351,45.00100137023703,50.177877263135066,50.68430418536887,46.44603463075097,47.03833215132217,50.838910947749014,50.471979893156764,45.127164521304266,44.67248458366883,42.20498246067476,42.646589738273846,41.498779258647005,38.62192198672557,33.52641636941027,31.185816267128885,26.718298301252506,24.496776160294495,22.30057548056247,22.270245873917304,25.810482080825544,29.64284477970184,30.926839593887735,36.79253012526808,37.703014913754096,40.67198511880473,41.26584174941383,43.31023724039823,43.222846335975746,44.31203198775122,43.130682526631254,44.91913429509349,41.56973299270888,39.22239962013402,38.94609004453341,39.76491243560338,37.01137222143803,39.25907963548096,35.29766582390645,36.27396733675548,33.14094806859224,32.39497403256863,28.549465486923044,27.387688151156336,24.016882587333455,29.43416636348806,28.958137388279773,32.63204698715355,33.97487964435743,36.298969776467786,37.02399725254308,37.91020438718474,41.73814884406063,38.51441128608907,42.428182763968074,42.39892195148182,39.19197629955599,38.121535763803955,33.85121345085205,31.87624398295768,27.45025511542178,26.626693297176097,23.498312804648886,22.881366214188635,23.802830176828532,24.27813788223309,25.01146848176977,23.49524857840057,20.24821270346153,19.20525716429911,18.843183798233067,19.716426648535737,20.93411922652716,25.421942532774242,28.28727210965814,30.905973923847917,34.51583193722543,38.17540873158176,38.806509446646004,43.24578812161911,43.13594998207528,43.128994206366635,39.15443749622017,34.776719082950805,34.58336346020551,30.424895508649602,27.162278081776083,29.424657095339494,29.031703006141342,31.699683582391714,29.576465060886413,29.133744074006284,32.03950039702425,30.287583346184388,28.415272721605277,28.51699586911151,30.139642725979584,27.572287606618122,31.09066728110552,28.84332977978791,33.357846532347786,32.058300038541226,31.272534560573636,32.51756489648388,30.172605147853343,33.00200512790638,31.60886221736775,34.18920763892064,33.48319311606113,33.631469017997176,32.8674203425037,36.68141667720184,38.46896617620035,36.614960858727954,40.311018133169846,42.10723799659605,40.93643439949603,36.851852762422986,37.45986866998429,34.589851232498326,37.4620046237809,38.20526233713511,38.20829381376258,39.39200489781327,36.11276905748848,41.68858023963046,41.428803317218254,43.49177050471272,42.55939608636895,40.33851699665345,44.888981186975315,47.133437658985564,43.89871775934062,44.815704372580896,42.148663759024366,46.707946592703706,44.13093014009401,47.25953148241349,48.16447559506347,46.354420396239576,46.9186996957976,45.44832129817462,46.118570272737664,46.786678413650435,42.59230310456195,44.28933486395636,42.563703796730465,41.04377966788258,45.027645452789784,43.68205842663587,39.5723239755518,41.421398726558394,44.6751547788331,40.85260880053095,38.065836929091674,42.410573929456014,44.387734940901936,38.605271617479616,39.73061140670974,43.10232364046749,40.32937388246729,37.39593709456738,41.43090777297762,41.03127006832548,46.07483425355929,45.00100787047586,45.52921818516701,49.10127258297795,53.32969302788588,57.27843116553999,58.37142011753856,58.285547427970336,56.70942758756521,58.69783288550853,55.710595086415765,59.26275914465867,58.723384741503,52.39725298168885,54.220750844198875,57.35545845238143,53.47779989955341,50.789529233204625,53.305665878474734,53.3154908040904,49.30794478091678,47.26468206542511,45.67314945665411,47.246825376053394,50.704001669138506,50.93715880995478,52.19647069877711,54.94750604286459,51.37538696224973,48.413107957870515,51.19800354398254,50.58332086293632,45.75153160823325,46.46610438778654,48.62258595558081,46.395547375388915,44.222983246670246,49.10495815605377,49.17474909450783,44.79693650952132,46.89649558791414,50.87197419739266,49.87809249038954,52.41084956124362,50.941722311377525,54.490843922575486,53.54296337752672,47.90765461423246,50.773868611933416,52.5306756097981,49.44153031100463,47.209878854645545,52.914005129284874,51.86533943511048,46.446584197311836,47.90586933969328,52.6507488246857,50.778035221772306,46.67131055454061,42.23824848616313,45.36616173924589,41.02818565695399,43.10580189216796,37.777027788126716,38.55722679022514,34.83465753699757,33.1127119789276,34.638085346024155,36.70433948231424,37.03605597167962,39.94524670775152,35.449236985230236,37.57269252717986,33.214202389794224,32.74608445644151,35.53900902939303,36.83210268927506,33.88034764591988,31.533223833600307,32.421331854376476,31.945214814647336,28.003922058744045,27.730763849399278,29.1947333648388,28.802529387474316,30.24335056902445,31.34908551318711,33.345263554557256],[26.670107449727865,26.591650174908928,29.21088035027743,24.385693662126105,28.521122205613317,24.408888664816267,24.337207603121694,26.350773103219463,22.05114383216785,21.811157864567495,21.650805960023792,25.008182800325944,26.103326563275065,21.801667862998116,25.212989314902664,28.352733213269747,27.75493552696506,30.31147524168694,31.667502215883733,35.67444204886818,37.789989732767104,42.36310703190202,42.14927867122984,41.77375071146571,40.19472405261149,35.71182260305938,35.530595850753265,32.00596956666281,32.35539665697361,32.624771881640754,31.972018029861797,34.07348809440021,35.83762714132207,38.82240211989038,38.298901830836776,36.5988805607417,37.785557901156636,38.415595917384415,39.09175886087226,45.51981097218192,41.720593057074055,40.91831594738254,45.36982549962073,45.58183971555792,45.50676917485363,45.5896396914512,48.736222494282465,49.21337659943157,47.48246282882931,52.36588052054948,54.04361143960753,52.09004871431743,53.43901007347732,48.91388068849772,53.94921265743396,54.7793845403428,50.556954193127055,50.84272644484671,54.77359156928867,54.77341688337864,49.41084471127366,48.79525906031528,46.09849013445653,46.98740496837045,45.93067753020193,42.76696794805351,37.9119706036894,35.145036127197336,31.02341102421111,28.258387771363523,26.492941826835587,26.539979965525177,29.641473064267853,33.84408368622473,34.56850673310172,40.39994529124999,41.41555822307791,43.99247269711927,44.66806308183068,46.895426053697975,46.40589170121559,47.63194844021899,45.8768760471709,47.86639562108535,44.78105179816432,42.28430184933256,42.42782063598184,42.71387475526893,40.46350678656719,42.203501851276876,38.417045296716694,39.347156356199505,35.880995057907974,34.650583369131176,30.718491691873957,29.165735505405298,25.729502243061425,30.873890645443666,30.002910708083064,32.86582503932796,35.24543097332874,37.088227130005905,38.660181557727306,39.128457583192215,43.375298686580784,39.909762507524384,43.520166157065866,43.660752144995854,40.14486335423116,38.936115541996514,34.521804609155616,33.285967017741164,28.717213310451275,28.741116890489362,26.075608240499513,26.062563746349916,27.50536317050234,28.508306797125893,29.65501478250424,27.55145617065871,24.427243497668336,22.77246090714993,22.487956368167886,22.543953178554876,22.795792799012876,27.500081302794268,29.23141372108238,32.44464848811757,35.94579476285451,39.90174236065257,40.4954262437654,44.8547228053702,45.296276318750884,45.17371295787258,41.52861832532417,37.17826702881119,36.815923224240706,33.21400663640003,30.33977344716581,32.73145925023635,33.09303057203237,36.124243595594365,33.872849975077024,32.97921773531775,35.83611229026736,33.67256088739715,31.604529583365235,31.04837486701604,32.105666781105384,28.915458438175886,31.76626661890399,28.943097016208434,33.06284913489434,30.90889611951065,30.79428015452607,32.71076151727003,31.001681434695467,33.87734578319709,33.246407879269526,35.80176439290943,35.90272197834372,36.52746493240611,36.1892575880411,40.04494140241731,41.930446951112195,40.28669797232829,43.62360568925851,45.64069045992853,44.07853144398645,40.09161865696139,40.4194305400498,37.692111571845544,40.4447023202197,40.99738009299371,40.8751490545926,41.60918549306054,38.40877652523181,43.82326525990394,44.09323444027318,45.91471204206831,45.388868215094476,42.53231183682897,47.35813735623323,49.85427057834151,46.811985495932134,48.18734777643367,45.78141318387498,50.52236729023791,48.24306642173987,51.02571458140317,51.77442447839939,49.69210676977112,49.96832058473974,48.18990372320363,48.56203872451972,48.9284723675042,44.586910411343304,45.832363424359514,43.636769612389216,41.93210561704603,45.49835916599704,43.92431739587241,39.8726264716613,41.48069445072069,44.40521847372412,40.358395235506215,37.60629201337106,41.660958129522506,43.34567435452381,37.35175635437412,38.31328373960443,41.432879896397935,38.47859801654427,35.40441656356631,39.29882540896462,39.29797258295077,44.15626230167539,43.710064453471894,44.416302407947754,47.77181046932685,52.342183641260476,55.94871765469912,57.4660228856549,57.55879433527629,56.35389876205427,58.58236717481153,55.85193905536851,59.65161705472766,58.88478857659955,52.64018123027589,54.83812693972473,58.058208533644724,54.03075584294266,51.593332205977234,54.49007990533002,54.305377936211414,50.133351548659576,48.687256313612004,46.48137738736724,48.35232908802682,51.62382138031042,51.33422234113348,52.69714518871909,55.06028529676397,51.73384360689981,48.77455718531766,50.965456850112886,50.32352098665615,45.61449230589341,45.98082233938302,47.73901413257229,45.34914838598277,43.13097564762994,47.85065862952981,47.609055236088544,43.028153987486974,45.181857792486994,49.16833273716872,48.45625075299272,51.32312310730714,50.283632555914906,53.948013137336154,52.57474076151568,47.119472954351814,50.45929785655129,51.995870386019526,48.74911393185549,47.058720329476564,52.82656383002184,51.43663653220425,46.1445552736278,48.16197137317853,52.745080975280935,50.566427546576655,46.512235300170225,41.88664244727847,44.94477857730317,40.406842555724054,41.9929615418493,36.72437860055296,37.67134322242104,33.724919509657504,32.15809693438213,34.21099836563726,36.508798473572746,37.29331560962698,40.128152076470585,35.82113907020144,38.362187086055116,34.1206230831636,32.51168118202135,35.34400126472237,36.050519789586815,33.46405553146513,31.25632760868932,31.309747607893314,30.536031022530434,27.402556797254707,25.948783079381396,27.070057263776224,26.80223064508651,28.524548397456666,29.39985356977851,31.219518170558747],[25.555064034183175,24.983180389044087,27.539501465612947,22.065284837368345,26.268032582359037,23.332131064982637,23.441074257941278,26.370477921849247,22.60834170167479,22.10909804942994,22.88401801965795,26.646388420416624,26.67307080892897,22.412144959948726,26.52889456768559,29.358750021322386,27.817580670258494,30.538389244036757,31.2695963740711,35.27018920472038,37.216182972383,41.60843133888288,41.19672025547801,40.30121880207846,38.77823012825015,34.429804083895064,34.304062347561064,31.04636022306784,32.17891786985418,32.965992837869265,33.27039431986606,35.2934071741338,37.68771138151772,40.51061725176169,39.38344575947747,37.15189976719135,38.21979454550975,38.053482786997805,38.17597208882507,44.51261095664503,40.1929776705885,39.89735010749902,44.37009647345962,44.026229044278836,43.548115457522876,43.24321026244826,46.25573708199976,47.23127621044257,45.45457742033347,50.05091628005117,52.14070264555027,50.42673774750212,52.153453492787555,47.7263417523362,53.16468266235451,53.945841256398865,49.77317848608206,50.51724092738318,54.52064600725658,54.116920769528505,48.971002161228476,48.94017648672274,46.642081148010035,47.220018123503735,45.71401825630744,42.71901619159293,37.96293281512357,35.58892554894654,31.306988375360227,29.17491546438416,27.086301310062684,27.550338650050282,30.97668554123567,34.708433919257075,35.72472994062146,41.79799065909456,42.23108681716098,45.275041043034626,45.48837991394739,47.24070488664134,46.73095588891817,47.36950806298608,45.87386978184041,47.28418502129864,43.85683345729141,41.91647223292239,42.209584087257106,43.137108024427484,40.89634321753328,43.4604772822122,39.76732089916366,41.18477701225986,37.92113684991124,36.86386571677119,32.69385218764169,31.77098178265584,28.02741778440669,32.962963841980994,31.874077588130543,34.985778178366076,36.65345583976677,38.07888466765944,39.216178469394315,39.22351435281436,42.85485336187372,39.06365931605591,42.57481761703828,42.14984628848408,38.535745426645086,37.94060679365822,33.32574761158991,32.09119283325104,27.83465959463117,27.293560138796515,25.141544544571076,24.35895063396361,26.186751650585624,26.406213799911278,28.31193920410236,26.983438242216053,23.503420849743563,21.961100158192473,20.489363779427897,20.802228963974013,21.35949151202653,25.35831455306068,27.50052050381754,30.533890212667156,33.99017642535809,38.161811586607676,38.02080202306332,42.58406706854679,42.80869442584163,43.30528197109257,39.11231085519763,34.90324495274923,33.84025151286487,30.279856970171345,27.29745048180044,30.22611369050683,30.01570103061348,33.392493361446014,31.778875437450072,30.951545092579313,34.1728123768303,32.68004192896296,30.342792745604246,30.362729698833775,31.459470661764406,28.713086504236042,31.763992821425543,29.760428727484094,34.238705543776106,32.8670382390813,32.89751985227428,34.22311268855148,32.043568375449176,34.37683285130303,33.600365148917504,35.345675358713144,34.682453749274714,35.67239875095064,34.38720779031915,38.59827201956485,39.75345943478782,37.4367642069962,40.7705872125968,42.341353967268155,40.64325937885066,36.723235518233054,37.416681581117096,35.0549752607704,38.385809603588164,39.46210904643213,39.884477785029354,41.102066708961814,38.32527333428374,43.89748576959165,43.54486381691381,45.24952414428857,44.02739325766853,41.278894824811104,45.6450029063853,47.85345408756944,44.709496465938386,46.309027462623796,44.118073672346306,48.48402674053721,45.68612605993444,48.45462336910444,48.932178610106426,47.101608574135426,47.09691003155343,45.31240149694653,45.654557787741254,45.83401189578799,41.430313364609724,42.979445255563924,40.79994349403047,39.66867449954356,43.23242209000087,42.215947876368915,38.04220664029293,39.19802910315325,42.519067699246335,38.86867866413119,35.43592745435929,39.66307134072285,42.06188465229838,36.06044567537188,36.69678582826888,40.12963900046648,37.70823348642118,34.25831502327628,37.934962481384694,37.44056685863042,42.57816855097647,41.13207368862166,42.12127046798533,45.754295405871034,50.02618821993666,53.78503301342029,55.121524326504,55.50761130105407,54.17674727753137,56.47718857585258,53.878822275116754,57.35534535377129,56.371898198708145,50.15519824742899,52.36696867646558,55.17513059278843,51.019177557513466,48.678954178294774,51.425174062890854,50.85111985358284,46.71866490674984,45.389228800484844,43.57183804114888,45.923819305414206,49.28174188740904,49.36301566762425,51.08600134018307,53.816348926869814,50.653392001235524,47.30306382966766,49.77461913059501,49.61359470812881,44.744971096545065,44.86272628293072,47.12763902505843,45.02776521550298,42.414469371309615,47.085541426204074,47.30639628690319,42.82047640279078,44.439663424300804,48.38680820233197,47.25374160659634,50.02974586494618,48.868723584812805,52.236332049908775,50.84300481022765,45.286426616376154,48.37462300756995,49.67313491718302,46.41229200741598,44.47905225664579,50.044987333366,48.503417571811035,43.16254758029776,44.98005855721752,49.41672746625581,47.13619792817054,43.05340791090374,38.5683724791353,41.27004503291018,36.76469253076319,38.899641083378974,33.75724855411373,35.097489134111996,31.641481120708058,29.386244612714705,31.14925125397086,32.98431345535011,33.788138202196016,37.073446846584154,33.130504462915205,35.841291931883326,31.83024159300521,30.69468366105797,34.09523051473556,35.22756774859378,33.154738533270354,30.262736061223126,30.423772236762456,30.503335628143613,27.094711278454117,25.691855811909136,27.71844703147206,28.081001505309196,29.96716110424519,31.224478656147777,33.06859087831162],[24.266989441510404,24.15652256308267,27.146504598879204,22.520459191458077,27.673928451195703,25.14803537468702,26.2776523514867,29.485310835617625,26.248756559175774,26.60142001006522,27.704488985872548,31.1661658015146,31.543518979449324,27.66742723140289,32.02354779354641,34.72575648299552,33.2197306784707,36.265058831039745,37.10286708774298,40.95078500488121,43.00141057675535,47.27820617437692,46.90332395257641,45.803366244442074,44.20034114461242,39.94196788481031,39.62155938324139,36.346351365824574,37.6016026121494,38.19927252119929,38.97808441576946,40.537438313631945,43.0525161256307,46.140137835271204,44.88935416743241,42.73954062794336,43.42865034210867,43.364526828498484,43.27684985880626,49.48510534435611,45.152947103479406,45.278318298621734,49.75524358557236,49.178740278206654,48.59318563000765,47.96785307679606,50.93983526312637,52.185730006164015,50.189505050106064,54.588466873475106,56.876731904409766,55.24834340902354,57.20420322840947,52.74889228989392,58.31230004707468,59.2737577861643,55.15397979183488,55.9699239033084,60.081150755702595,59.66590682237763,54.650197842302966,54.82477423114058,52.59246220006935,53.2453917039704,51.58872645998376,48.54615331795457,43.960872407692,41.56597225454854,37.38413267286172,35.252564632510854,33.234276024810306,33.799042374888394,37.18316790089129,40.913099405980546,41.80974095929494,47.93219363701961,48.214214510267176,51.231901507148166,51.29749977396688,52.927775079844295,52.153898106882295,52.55282599575672,50.8047429202101,51.995714784773696,48.580652930620325,46.89499277637834,47.562378618188106,48.473845575506736,46.57435306945711,49.19652817240347,45.65339998714989,47.2116720752336,43.848239532808016,42.58312422192854,38.29547200039534,37.362050090908426,33.50599806279879,38.134919391909264,36.673491632360495,39.2204851773583,41.329208091804915,42.09222321725983,43.67000467580966,43.02397841992364,46.55265454224318,42.36166001392052,45.44334062096378,44.73935625972827,40.79397126073429,40.57556661024653,35.76205193582324,35.294064333451125,31.26100993317916,31.085989201563564,29.703562209895033,28.911549999774202,31.266328724193663,31.33593961436679,33.855306137187526,32.636829563341124,29.108544797517006,27.327853836643534,25.316889409575115,25.216135657609872,25.188623191749627,28.679845458719985,29.971538702823445,33.343239231768614,36.55236091708096,41.09811525955903,40.29940585517108,44.87079000797783,45.45367007944885,46.352075642296604,42.09001830492358,38.11242314989331,36.3182300686612,33.41984393189192,30.781358736775655,34.14586379588052,34.06463677949999,37.86556538373522,36.644707610054716,35.585974769238575,38.95635873904895,37.62192926386745,35.022658117754034,34.91118812907062,35.558332286575855,32.642511401928274,35.14797129135236,33.210666292552645,37.43922014334817,35.76793751731053,36.534187750662,38.089984516952455,36.22443529573478,38.219831097909406,38.01464259233736,39.189066480805465,38.70451987403495,40.29993901177922,38.73157642287077,43.150343903650366,43.84639628813599,41.2069263202988,44.19031876733918,45.53583969654461,43.403641807118824,39.712453983116454,40.465913146666125,38.58447861563998,42.201288640237706,43.48932642492966,44.183457432732766,45.339200314941124,42.93342604637205,48.412204951329514,48.091692170056106,49.504281932164204,48.149525463848995,44.969879928711734,49.172659956950106,51.352553222975345,48.33699365889418,50.46807151833679,48.65662971613011,52.84684912134172,49.901717170489206,52.36838167675648,52.49414172831669,50.669852497714984,50.17664811443889,48.129896967840025,48.15488682626179,47.856628806650306,43.318975358470276,44.652149762263505,42.01101611543816,41.24862416431676,44.26120119028577,43.52869656217343,39.39725442431219,39.79995773801504,43.0441433349837,39.581556803120115,35.590450146809395,39.51690928525865,42.21830034141449,36.063985562023994,36.11625523705422,39.45747481708599,37.39331580239304,33.42639717613127,36.56224871896091,36.10885291281527,41.194222628846646,39.525768284450066,41.09738559364943,44.677666839456144,49.03315589509777,52.43461069836841,54.1469640329599,55.08863782566285,54.1217456744847,56.77042149995515,54.64412979630379,58.057470387382274,56.59008499607763,50.57998521947914,53.223982096687685,55.67886505824368,51.25976401660369,49.35739210064386,52.35184715948346,51.143945742850356,46.9192004081758,46.44146446064162,44.34736267630144,47.47203710120391,50.653533188791094,50.490344543842824,52.641155721389524,55.23189135008502,52.52444369944646,48.88032350786299,50.88919302837245,51.12814043556575,46.334209153326924,45.82100276830935,48.034733720583446,46.03203095915282,43.04835002680791,47.38988376262937,47.64730039360424,43.062805605545925,44.20675231293207,48.06892009634131,46.90402452996039,49.988874359308284,49.2703090675777,52.4431707352586,50.499309622859414,45.15571122036014,48.544207281565235,49.289467444999964,45.85178295669529,44.39987421765245,49.740881727614536,47.59455977601225,42.45636249398396,44.75332530654558,48.74082705066143,45.95179041795113,41.97276122222872,37.47771028631209,39.560152300760166,34.88248362238237,36.94753402566642,32.18293629880693,34.22594065870632,31.11712563543495,28.347230574999877,30.46939804851434,32.00281240324583,33.44175029705888,37.06054594990249,33.859913724887825,37.1564441338168,33.612177595565015,31.640377464375778,35.514309390379296,36.30848549265969,35.15648918295688,31.934391464326648,31.184822906003095,31.674898357246104,29.101487326581346,26.38544976327006,28.700734620884273,29.709540294505846,31.969294530775883,33.20654816212297,34.793897835728764],[21.872195342563543,21.114757710944325,23.759951723199315,18.45034817543184,23.238199979292975,21.376386474357968,22.37233166614471,26.00047750921316,23.157498023296668,23.32400069146315,24.981069574612764,28.572270706098262,28.3007716913167,24.67086947920146,29.377987031515165,31.777153075030963,29.835308743509128,33.08689846907182,33.85055619958377,37.468339216331685,39.61909801916305,43.70335609734375,43.44335090866273,42.17177322131894,40.382664380110946,36.23587442205464,35.697963490969805,32.489283575006986,34.04052906762598,34.77362204281048,36.268929283822885,37.561067211085756,40.478714417027746,43.52387282672029,41.862037279170394,39.50437484052226,39.96047796524381,39.59524908804204,39.230140605609066,45.300003609262966,40.89570724478535,41.3831742736886,45.840140452949505,45.053722287266666,44.426509221620265,43.58482204101694,46.57050164154065,47.93802859263534,45.76248590620649,50.06260046349187,52.43608908943089,50.84700346992864,52.971090088847326,48.53226911729669,54.22180648541598,55.27907207561035,51.23938207266478,52.19711749955526,56.38028048879587,55.89681349967751,51.06278134776405,51.582701301364516,49.56200661925195,50.2626316811096,48.305803550676686,45.23016006287294,40.96261649951619,38.64191937776622,34.64680232852511,32.763440454652105,30.798464494560157,31.873910162625343,35.129060705955304,38.60430017754956,39.334001607652425,45.59430281476776,45.36363917991156,48.54894321761749,48.244631294821595,49.56281820252746,48.62592158542866,48.674104827139246,46.96678065094169,47.848220917701404,44.33588061388526,42.94829750058488,43.82213558996427,44.988121748343254,43.29561667571857,46.33988134953999,43.00422135827871,44.99447472911826,41.70886870483244,40.42949966536731,35.97776900212013,35.527033897477665,31.46716640457413,35.75648370242418,34.11806330113561,36.794575831601954,38.36997662390873,38.8572030138363,40.13814135782092,39.241281622653005,42.399868887340695,38.113727808274156,41.167044733966655,40.230230564767325,36.32946978421743,36.360874210199576,31.53717654302659,30.970211190914068,27.16207634961925,26.71489312620491,25.695566212874237,24.63778794476605,27.276885551502367,27.15632704217169,30.24056294869697,29.215126996560095,25.643945162868377,23.75208703740522,21.186073274973083,20.992284018957722,20.991076894595526,24.045907418948612,25.552903317112193,28.74101889429335,31.917944316923624,36.47184866837152,35.45523083172518,40.07603811770639,40.53881780917287,41.62414155356797,37.202362709190844,33.30010319382496,31.320107222525692,28.469515009103006,25.89374892859883,29.406450315986664,29.367258575053565,33.3775704880671,32.36545918514209,31.170622495660762,34.63133100697226,33.54773423548324,30.807606263638164,30.889289453051596,31.49024815010569,28.866868313547293,31.472882321086896,30.091965055541475,34.52254098885872,33.53417569791781,34.22112922904585,35.28472883060491,33.114278517672794,34.74818595545189,34.451097065489705,35.15400514984559,34.32128145104122,36.13895051108897,34.210850204859675,38.74079444198426,39.13655714858562,36.3519758221396,39.23322270893365,40.51661350935393,38.31681737452224,34.664063894263215,35.45386647674329,33.704379604377465,37.46949756094114,38.935496474548884,39.86221676831958,41.2113705968715,39.07875536567216,44.56569918225933,43.95604642048563,45.267595544473814,43.63096281718964,40.48673842311076,44.47625001006301,46.54909252978171,43.53020890479804,45.79540024866218,44.15230562522457,48.20057203950462,45.195792464727056,47.53298555072959,47.55086399351781,45.746682944630905,45.1532809683204,43.09911944261282,43.12453572115331,42.82397729218371,38.29884880544202,39.75390313860438,37.23349582440561,36.62118162447535,39.77256773484124,39.235308594730476,35.057232573073854,35.4725253292426,38.935411854784164,35.65251720758928,31.52819712951388,35.65374535997663,38.62704338764779,32.601111878027005,32.729259356057256,36.29089082924218,34.4277020733034,30.533758320176467,33.78844100752537,32.9814335878047,38.236430507663336,36.10018829894834,37.49220478268134,41.243784358731446,45.36613726825809,49.040363006470116,50.439813518582994,51.252865342891546,50.05319914542231,52.58238363237282,50.34589573978177,53.61979348816268,52.23954076795694,46.17624838744561,48.66681056713081,51.06956202936898,46.7015692554963,44.686892624396826,47.549214853639995,46.41634572970567,42.237473517252326,41.5388697332544,39.65907408179907,42.751186794036485,46.00408860443564,46.08481314813317,48.27399304383167,51.09035717673054,48.34870617561446,44.59871674968142,46.9034321676864,47.28552699082833,42.4051312555971,41.968409533758624,44.50091825610649,42.666023930971654,39.60352122910116,44.021994807722834,44.57259462108595,40.14530377637048,41.14330887394654,44.99150712870776,43.573372268424684,46.42996025488621,45.44281269317217,48.514337106095695,46.82175378547048,41.34512539171716,44.445873604057326,45.3112647984315,41.963553037774645,40.173005966347155,45.503384913055726,43.578984123689196,38.330034970721314,40.32226878170472,44.44637344829305,41.869453802572096,37.830409258105654,33.40522718906064,35.68097170314229,31.120593347886725,33.47273709377474,28.56642504618042,30.425818229685824,27.46214573327121,24.573054947566874,26.341537736204735,27.80076795313891,28.955624589763435,32.61376698860622,29.32791391700442,32.507627983174814,28.98897711685654,27.52484075796237,31.52456671594285,32.69013576293169,31.584478699844386,28.08220276622197,27.73707764799133,28.648795861534918,25.662968023758353,23.540097283436065,26.34839053020852,27.545202140138393,29.730056673678458,31.256090174021484,32.95763087165834],[24.392055076190335,23.52698100976131,26.10462561674089,20.896888674114102,25.586177656460737,24.71084952809017,25.845304150112284,29.793076362029822,27.292349935276317,27.279014596881662,29.177580395022797,32.86575195698495,32.13930094036701,28.54070905676368,33.31082293311752,35.587087069434176,33.221381949247245,36.31521210622232,36.54513847228104,40.187764220914936,42.04413753386944,45.979924621447,45.462350987597574,43.84632484274045,42.29130745806829,38.336799265661305,38.02148735263698,35.153854705557414,37.15462460721279,38.243929860077245,39.97943929631103,41.40037010263476,44.49120824702593,47.3438273530697,45.49058632054702,42.859775593792854,43.388128774311305,42.50140500833018,41.822346528623704,47.738576344581354,42.98577982333917,43.69611525339187,48.07145742694847,46.91098828648943,45.92322549995539,44.856906304734366,47.621880864475386,49.38718133211035,47.34312840346791,51.324863579277775,54.016167152026334,52.66615944427102,55.00601519262139,50.740237461148496,56.63153948971531,57.541708836785176,53.55893736758747,54.84295439414121,58.97148958907552,58.15670330918185,53.4837453263661,54.295478545219055,52.52546502873249,52.89528196011841,50.77322853949609,47.942517239543506,43.64633032089027,41.68574229853073,37.54805458202937,36.08985852891412,33.898952043927125,34.91624153531207,38.412613551010175,41.579563267864614,42.65499061577102,48.89111825338504,48.52174668245837,51.9466053465991,51.50451835861926,52.59188475004691,51.78469858935016,51.53753433093686,50.1037766817465,50.63694495841662,46.93408285989203,45.900152758189144,46.7282009464718,48.287998395785436,46.47282157425256,49.89113055319225,46.54348071176951,48.59950794972221,45.49438075463296,44.41071153727805,39.9880730596063,39.70623025753218,35.66544022449042,39.956016076991716,38.35335336558827,41.146612642110604,42.398859258635184,42.76753032354655,43.78172435354734,42.70978825322907,45.44701758200842,41.05176438755747,43.966686005486046,42.64126534093063,38.74051989301539,39.22452799457891,34.39741194965134,33.88265557843861,30.420396161223202,29.604391477945263,28.880861739265633,27.333430532382177,29.971020669651722,29.222231929066158,32.48885611456607,32.09126301582751,28.452049533028944,26.875923151473827,23.79817737962509,23.926858523481364,24.21115126281024,26.5756585627921,28.29105579060707,31.215906311642904,34.223951932439306,38.815513763838865,37.20068599345344,41.87531505096154,42.15396137515001,43.740959565025875,38.96540307266337,35.30145123857612,32.75018615631792,30.05192484692158,27.46780397474017,31.279366589151888,30.59310074571644,34.65984305565448,34.217672103051676,33.23873896153915,36.85161835657024,36.29540531156252,33.52254465319411,34.02959628540879,34.6983802243275,32.43094608513088,35.078756308696384,34.116424881428145,38.59219465122665,37.88262909029255,38.624842439538156,39.47073430556341,37.13721727799295,38.515373985008104,38.10629117077495,38.39511010628066,37.06592476907047,38.994337006375126,36.450994188650526,41.0961884087139,40.94663132252052,37.632897897670276,40.49008443914602,41.28199199413936,39.03328852067988,35.54830167822808,36.70461569537932,35.334964694026404,39.48028584072424,41.314664998077106,42.59075210603331,44.24866806662433,42.367557305504185,47.86550240480612,46.86830602694408,48.12388570898087,46.028408674444805,43.07634440856156,46.640039404021984,48.43652225659197,45.3768737305245,47.71149824035071,46.19931818326204,49.86941283997683,46.43251418955061,48.79758737101933,48.606079775259,47.097492066424294,46.29173561154211,44.28895766430598,44.28755742430504,43.795355269930575,39.30247772230047,40.99455396232157,38.491437167874736,38.44362095399556,41.43039297916007,41.38469538447916,37.23140529456565,37.14479976715469,40.81306606380004,37.94058323538183,33.31040467760565,37.36978961006358,40.856800734610665,34.9491057990953,34.688995337958474,38.33974804844533,36.9662205891442,32.80198848837535,35.63611439877962,34.51730993709427,39.8206426713205,36.88200918470975,38.67417950857987,42.54559916198303,46.38592192360075,50.00584684617933,51.36641465908439,52.55747423373238,51.36996902726328,54.00042895081996,51.99368733487147,54.95537990853439,53.31676669587181,47.41252405541549,49.95715190970405,51.90179993455895,47.42926953452151,45.62416166864032,48.3408203317615,46.73519098372325,42.64816293767073,42.23450662610051,40.71968132579687,44.28731255691237,47.52710967870169,47.86638944296593,50.35440166768036,53.36961715222445,50.84275860344009,46.8463864706433,49.23329570693577,49.988096425334405,45.10375633881935,44.408683733935476,47.20438002758429,45.59164994605683,42.28248110142328,46.51024097800255,47.33378603189208,43.016597656648706,43.564796861203824,47.295334125568154,45.624788329219804,48.45206839778235,47.503256782116964,50.26868631909854,48.450935666500136,43.05564397352074,45.97891785908424,46.50273927207874,43.15581582948284,41.3285093581955,46.32763760918586,44.13181660076574,39.000850967199106,40.896160841326754,44.68564307720727,41.89683408343275,37.93842148024018,33.75355865711591,35.38936037620419,30.900642473501588,33.72548631935723,29.233003682732214,31.624516229068163,29.280460087666597,25.776931497170093,27.31276586011442,28.150474047563268,29.480492815357675,33.55320462769722,30.884888103359728,34.20029063071713,31.071039994999303,29.90406035999312,34.22931912444921,35.569456718491686,34.93483652251933,31.113772498377855,30.686642515022687,32.10838412408946,29.22445266091369,27.00256598645852,30.151701605150752,31.65381213796449,33.89098488150887,35.49181877082117,37.116541236318575],[21.776413650322855,20.820294764449066,23.34261956720046,18.594148148285,23.501418668172125,23.262513868202443,24.946353584597734,29.088150348663603,27.199530928280577,27.674782649563085,29.94825746275136,33.38679696031336,32.670184986911714,29.55773654202598,34.53087341605037,36.5455178802771,34.15339092779584,37.58410423354867,38.05762155982409,41.374439849343396,43.46429119214264,47.20019111031637,46.904412231258476,45.198616314368905,43.38057487444794,39.55338900193286,38.86789594484945,35.957323718266665,38.007914964325465,38.89353249566572,41.27082364477036,42.14664738883987,45.46567894968529,48.511577596991366,46.40639512157971,43.84068718688281,43.91951474936767,43.12528709161483,42.2462239072605,47.93981676988506,43.34358527936392,44.50835501662715,48.84474637793524,47.54084318382514,46.60839640250025,45.253703070382095,48.05054876010098,49.92192169259476,47.55224750986395,51.38705581774381,54.12739522395057,52.790655787144374,55.30724152636295,51.01176236736852,56.93306959609486,58.09927833344801,54.23180983074051,55.51598111511516,59.75799011621556,59.03413315545733,54.55655406857967,55.61957726957568,53.94787650389624,54.540086107055906,52.200397130429984,49.23890122258512,45.33024405693243,43.27349825827064,39.43631885312942,37.9663883221676,35.98220490313925,37.37171745699602,40.6207044514984,43.734570897957475,44.46781595221608,50.78002600719568,50.038736370709884,53.42558032523096,52.69845942977083,53.57640239652073,52.42582011282155,51.887159448842894,50.2064110512366,50.49264747577919,46.85696977209071,46.0938520218593,47.33832687105041,48.88035888230974,47.51280916411483,51.05915583403753,47.984530985349636,50.36564829413266,47.19251643547767,45.895101963141215,41.33196435950214,41.27177627320532,37.08376342893188,40.914534605668145,38.97459697203529,41.39086315499207,42.687138316029376,42.454591355427866,43.65474766648623,42.02584799940097,44.52548463271014,39.88603306544503,42.438744629190154,40.881393289236,36.8385574138403,37.64364506562233,32.78908141160365,32.78797789108149,29.660876623157453,29.079936841631692,29.072315685896527,27.590319899310565,30.67558634554666,29.97646277813783,33.85845444659723,33.4011229387562,29.83830727420937,27.97104064710609,24.546122797552446,24.210169445618845,23.994297496032534,25.774065429295185,26.837327321190678,29.850012320442545,32.5912046983078,37.34947935202972,35.280572721463706,39.8799295909238,40.41865240102435,42.26206377939567,37.53607814311142,34.12392021070154,31.108026049997584,29.037985109772944,26.891734471408107,30.889037382076545,30.607929830154493,35.00384985654215,34.782227585202506,33.480185824989285,37.106284225084764,36.64137980975709,33.674346040689365,34.04277480338076,34.316291844799416,32.07412715487771,34.307000919274294,33.659404294400446,37.964103565883946,37.435084924202705,38.579231522235595,39.31226775741139,37.098894007908214,38.06096762325418,38.03798431127555,37.740335657197654,36.51031079299484,38.951074407854634,36.24471213976028,40.97260561302911,40.47633501386643,37.078659233439225,39.521626329898595,40.256721869745924,37.65647942954078,34.4130005117385,35.47975292604786,34.496348269848895,38.73034725695065,40.67792231681609,42.1680670442993,43.77022557901209,42.2875431931851,47.62957360967622,46.616399290891444,47.58614813643928,45.395392117170935,42.12107390772622,45.49498094956272,47.26490569231711,44.368643784287706,47.1531981369737,46.02762165454385,49.55538606801578,46.186443605384376,48.16834092446245,47.697033925964206,46.116446134033374,44.933435648126554,42.722362308078864,42.46799787963588,41.65225483006111,37.12712526707237,38.617461556221215,35.85976534952682,36.061345359289426,38.69408225234833,38.8822675593433,34.80780251162274,34.25856510811408,37.90633174597029,35.2681119124668,30.322066126742353,34.21576478317771,37.95903446558372,32.12984682848408,31.55845282088651,35.21111859903272,34.188939237969535,29.844125522317764,32.365611457040806,31.084289800024877,36.37730127005365,33.11281603394274,35.117163001537506,38.99969455835347,42.75590394113446,46.28797678811986,47.70302346199955,49.11882355888538,48.050185995000994,50.81417710575643,49.0504789658034,51.924150669630215,50.05753240318534,44.28803391029664,47.02355398829133,48.767403036617715,44.191619478252605,42.61807033084398,45.45640539609088,43.55091853951377,39.43358458776145,39.48920442110865,37.81084572938949,41.79059129730346,44.89799373736901,45.138254520360384,47.872458639449725,50.846918392253286,48.61447817365373,44.44261816733732,46.62891284223492,47.67804487886355,42.86266211009855,41.82223413901593,44.69854577947816,43.248551522071686,39.72389748797429,43.73660616367665,44.72293422894979,40.493587298572756,40.673634134214886,44.30185366831776,42.501561641249616,45.3652195531199,44.560201944481896,47.14851785856428,45.14262816379317,39.860702390699274,42.812392799521525,43.07236772016715,39.690192402507215,38.02721821078703,42.86799292267874,40.44622565409485,35.41988463450358,37.48330019326742,41.06124306328489,38.09850550441443,34.19265960438289,30.043192377717055,31.447113029399492,26.934514836756392,29.789870444797458,25.48748357429772,28.163707131040013,26.16258709173369,22.360704686804166,23.91066358245197,24.53113168548004,26.12725032062374,30.326554204141647,28.13474824953498,31.72245658660793,28.98677531063098,27.487703066062327,32.053333009862264,33.32329264971465,33.30988678105496,29.256272100409106,28.468336718335472,30.33146200908172,27.854316529726557,25.22966972001275,28.715708466902328,30.652195396163613,33.00028664063385,34.70743536111953,36.2048347333986],[20.849637334942003,19.238291407971424,21.25430976249509,15.741211228882822,19.929163372863307,20.340549089923513,21.67319705289398,26.04243113432163,24.4834658706758,24.660758684663737,27.2754925078187,30.749611758006903,29.469224649957372,26.61782594972012,31.68489345262347,33.422264325657835,30.724778315913678,34.21205322447085,34.617190439193145,37.70101573733873,39.84311781544736,43.39839391858437,43.209548458608396,41.429048374845244,39.46768911783934,35.76324096181752,34.91453859062415,32.101730549308755,34.347269449235355,35.3524284994279,38.197181265781346,38.910357365849165,42.47226440952437,45.40603239083585,43.031652722643166,40.32886485874437,40.27184001371105,39.23374752156121,38.167657974543026,43.72108443643752,39.110674317728744,40.5045920511802,44.78866306334224,43.371903450349215,42.447940041369804,40.97292555228607,43.79353097160567,45.69219940733652,43.2017348616328,46.98734572072709,49.73731396569472,48.41882578859785,51.011359948355214,46.74991784859709,52.71011552972862,53.93015039242083,50.144563453917314,51.50628342085701,55.76326822677564,55.00762724799837,50.674543979328476,51.95610428904671,50.443129914257284,51.07464561450314,48.550381174933705,45.58432775628941,41.95738872528825,39.97769948440183,36.354331041908125,35.09901374551582,33.20750431024137,34.95203205711437,38.01925540741317,40.89164967512516,41.481279288834074,47.805152014809536,46.70295598984732,50.17635498242635,49.196555943874245,49.84789441855547,48.61420765729189,47.84640022883097,46.24486070969217,46.320545828989125,42.63047532715479,42.073128706477874,43.419199542062316,45.144656200981764,43.910427884407675,47.72878590491629,44.83041665534044,47.48910432043299,44.426745068895656,43.16260424019744,38.57000989739568,38.873814663696955,34.642246415764845,38.17420176799451,36.19215333746017,38.75921958756875,39.54515036719944,39.21297502804189,40.07982919654579,38.381740395765306,40.57228714202792,35.96039926476437,38.563251474185215,36.87145247387025,32.95533645021572,33.89938689823465,29.116517236080846,28.87705723562852,25.978091016492797,25.083595825740858,25.325514182193405,23.62298325238279,26.838825155184765,25.997733720799502,30.24214770644125,29.937763932144684,26.449334902199137,24.57218695613314,20.80083939493226,20.429665894133276,20.32294939091575,21.63374089563022,23.043806790767636,25.76683671487394,28.501321517838615,33.173256743780954,31.043247632900055,35.68886692025725,36.04248990717178,37.96135380547845,33.112874254919646,29.733271206820852,26.675034612545016,24.538825516490856,22.422281045412785,26.4767767542661,26.23052205534191,30.733149853404665,30.6388381266203,29.250885332806813,32.893041568313585,32.628232908503215,29.616763485039982,30.17316278957763,30.468961796355646,28.560793969240887,30.932781591690212,30.76205303670715,35.198909793513444,35.26668323363271,36.19057926309906,36.48646900424275,34.01263017648686,34.718193248925154,34.52012882841673,33.918645594506756,32.36093225358,34.875510909760905,31.924297453902827,36.67941826912296,36.00766066558814,32.55123443429437,34.960993422126094,35.70059715841403,33.11386623511896,29.846657275845295,30.932035781112518,29.985648990928407,34.289571916112024,36.34581191703631,37.97863479741741,39.74154322186333,38.43692895394769,43.75217384074752,42.506287839965545,43.43838123111172,41.053878668127204,37.903443208409875,41.11752149577498,42.8045489273242,39.88461013519106,42.67884724802956,41.63285664505206,45.07443124728124,41.70318492447864,43.62029314031301,43.12991665468174,41.55601355023247,40.38813902102827,38.21782761655829,38.03026159782355,37.322766483696604,32.82529211264886,34.48093274543678,31.94120636359129,32.18830842493088,35.08817488165476,35.37250694847651,31.25653301589269,30.91436433652996,34.771146488027796,32.247807127030924,27.35801290257748,31.499799605760543,35.3663396393318,29.73151613569335,29.401681320032942,33.234622823369705,32.27476379019297,28.196889972252144,30.958580867254508,29.393246372274753,34.793669727833674,31.2605435653416,32.897943991216735,36.92030125652745,40.45467906181082,44.315183774188355,45.35682437628185,46.48047991144457,45.114365848067294,47.67571532506275,45.68180624362093,48.46691644373829,46.81707446336441,40.93288822285767,43.419235597066724,45.23409609001856,40.77099154732851,38.9648235594545,41.63251194578923,39.979440600840626,35.90978633026991,35.52058453389681,34.09820662938812,37.84851639808231,41.06831627094685,41.57793040087756,44.22711254825263,47.417185197244905,45.040148955499646,40.86511847418108,43.41301071550532,44.46647936921676,39.579953145641106,38.77197087141679,41.90816845093635,40.57278493827058,37.106951104238405,41.2518260580732,42.44977478396447,38.39950616870526,38.60324058427068,42.226134629530975,40.24890958328252,42.82766707526535,41.67914718137395,44.240423221962054,42.60820716192708,37.16545250089183,39.78425984311629,40.317058514076436,37.06982391458598,34.970879524780294,39.880219072623284,37.8446075662684,32.65503705153802,34.301982325995816,38.158851201725724,35.54954641628384,31.55052261275469,27.46076181894054,29.27251274429908,24.9445066106258,28.052846663686264,23.513906571061995,25.76082144153927,23.80839025048218,20.093159515631868,21.154363033349735,21.787321072309027,22.893796773409335,27.04475895691849,24.565544957702095,27.892144737557373,25.084202193208704,24.294685518570695,28.825952163318007,30.496081290200962,30.31248879608784,26.136709230756132,25.93358972247379,28.03477864791307,25.07881559158123,23.318250535519574,27.044146748804117,28.93069859645672,31.085845751357944,32.976059704066344,34.5760654363779],[22.362704728992085,20.912057439601224,23.04461790639985,17.07776958049208,21.10945782621639,20.49837229485163,21.213587963887065,25.318415199616524,23.01811573802747,22.727957520662294,24.943086301490784,28.68036737298992,27.48383071707635,24.10251250814879,29.019392630968873,31.05691785642729,28.47182058752864,31.709550537726653,32.03994470850985,35.46246881889764,37.4859635503292,41.30808390818368,40.98539909646592,39.39422187345474,37.59836490636234,33.67483678088616,33.11547897743793,30.210189263138798,32.28922531679972,33.40164263329641,35.575670170684006,36.78722856170817,40.10443737190767,42.91867927881747,40.826002760436374,38.12093964418499,38.48468552835447,37.505288745975555,36.73207512181116,42.5880060757163,37.910804887306305,38.78502393555688,43.15779959825092,41.99857410517919,41.135598694406944,40.019141705071306,42.89284356205998,44.558448285942916,42.34176312241861,46.39525982901365,48.998622940560494,47.58409832979758,49.939254595425965,45.63440854500105,51.51940889083626,52.54103641471265,48.61222057610487,49.873301400765556,54.05261735736978,53.31204939313298,48.7203436929314,49.67409765627177,47.983513866029696,48.508003391220456,46.22958710278136,43.296184744464895,39.28373852137474,37.27317586632408,33.37670487937667,32.0017414889048,29.961562280785852,31.41033299422238,34.65887679788951,37.68495108509108,38.49752255270982,44.79693662010572,44.076329180375424,47.53460930228623,46.860944791483014,47.78594063608733,46.841411926676784,46.4478891443755,44.99985422932966,45.43185350713752,41.72167748738272,40.7771321249846,41.72975745476212,43.36180887415261,41.719801025144534,45.3265386355356,42.15665479984505,44.50877502419251,41.44537386923467,40.3240518387152,35.82693409439259,35.89000073315047,31.75967917040615,35.75078164358058,34.07511740848053,37.00168766857929,37.82682539911846,38.124931212998426,38.885800057933075,37.79399573606799,40.36362100740991,36.02414606137347,39.04117932491129,37.7129981068974,33.93997703542899,34.40382669963989,29.64179765827249,28.852340565044525,25.47177755536464,24.438399288150954,23.825985314671115,22.182161173621903,24.97546239632906,24.275925591040444,27.895334722467364,27.44967576227592,23.852103625790974,22.138969676463496,18.80212777793426,18.825109953327864,19.177977439566668,21.37864342520636,23.431702965097564,26.164505744009826,29.244124382085747,33.73751493856525,32.27978451483408,36.9797914497392,37.13457705854958,38.62157679120587,33.83946072936644,30.109581238510795,27.73814690807309,24.87053269248091,22.264021886582988,26.044836154158734,25.58963719306671,29.76291136953134,29.243433061866785,28.10530236107648,31.713876787798043,31.181446943486623,28.354048673634455,28.925292950495713,29.613706441462057,27.557856608633664,30.361709644025137,29.74925667477888,34.36699030847924,34.18821673160406,34.699369903564005,35.15872090294159,32.59179627748511,33.79329847559084,33.234163096651066,33.35318619427817,31.846020956801283,33.81025430936598,31.21017733780225,35.86899371980398,35.73413292691335,32.532070771905474,35.387880485360434,36.3565769564588,34.149578360943956,30.569569054790392,31.621430927537688,30.134132937781615,34.229901037298205,36.05312283397779,37.3584301144352,39.08602678739109,37.293837595471366,42.78492959084903,41.67259721904691,42.912975759958925,40.7671519146661,37.87225749899207,41.42807082229238,43.236740988025176,40.15995881692541,42.479851953837624,40.99480978681895,44.71891478512339,41.41396342130882,43.714068339828266,43.57484523654782,41.973565046526026,41.258850895475625,39.28305955826079,39.35956952258102,39.04565772235177,34.58116275598022,36.350738894555555,34.06058112364105,33.85946798509633,37.15561149774444,37.037891264858196,32.83974542683496,33.12254652020854,36.912574985002244,34.01897351656759,29.616102652636528,33.91987454620754,37.356403442648485,31.59875422521518,31.685028979959267,35.47454119781289,34.01563917913507,30.17949940643086,33.36147313348639,32.07215748003642,37.45875057712796,34.520087377366984,35.84958970827077,39.80794246347251,43.52573778602899,47.467050276593305,48.48658193271441,49.28560960583252,47.81838266982615,50.22401488227046,47.93048936995582,50.90377962211926,49.553402906677526,43.50051154646989,45.78849405640612,47.94539414143033,43.62279226315763,41.535008366714614,44.13125099800171,42.92544562298259,38.86662316454332,37.93821384111159,36.546858419600774,39.72558082159604,43.07224790188601,43.58370833762313,45.8921288839948,49.05008575235204,46.31778664226733,42.3981162566441,45.104565245980645,45.74874875946104,40.7966190561308,40.406293621589775,43.36999067428235,41.80189370102552,38.621493795453354,43.032293530084885,43.97952314412404,39.80201632020072,40.5011315205616,44.26008420654408,42.49635884445465,45.061614610302684,43.776864029308754,46.6086175549253,45.18254190343283,39.61809448082551,42.28107384882993,43.16673876540501,39.950686325023405,37.73546163044038,42.89413479173111,41.1461795868426,35.84161602313324,37.38074421696729,41.523946530419515,39.13620521447857,35.079852694490974,30.885346991690213,33.09012988090433,28.754936932035303,31.638814397095818,26.814783629727813,28.642696974521602,26.143715131522175,22.93069486898874,24.107602238595266,25.1689582071105,25.992003880143542,29.852185140831445,26.707216321194437,29.71241737112023,26.370315548842694,25.792494817945023,29.97132003048279,31.64313734170163,30.68752214566744,26.84414008414158,27.01582013913786,28.512326697316713,25.108444109746088,23.767030357383923,27.07045877083114,28.446246969955123,30.482967983223656,32.25940898921424,34.01071336178796],[20.460615079899956,18.49118852161373,20.10676856899526,13.556347722990914,16.818675501887,16.465877368775107,16.81871222359456,21.075511151179697,19.13161778362708,18.74104844652099,21.3464238472313,24.989967426998742,23.421049514232518,20.45850846001427,25.521553742503997,27.2472882939268,24.545522182136676,28.05391963136045,28.683707798323635,31.76287787005629,34.074472643413145,37.74542749894988,37.72832436660772,36.22049565430433,34.082342957649956,30.20466528659487,29.240439463653278,26.21147404008915,28.267499292903913,29.250386878673876,31.985319411507398,32.79503624470657,36.342573147326476,39.20940070714151,36.86912615898908,34.18465653263594,34.236758797528296,33.320193418096714,32.46977680073912,38.235354316061354,33.76512379712282,34.87790539316059,39.24515925549524,38.136729613957186,37.49656665567461,36.31102365171668,39.337761230400744,40.83705508884653,38.339782861667615,42.486583924315454,44.94372738275328,43.41804697120632,45.7851972832555,41.3970942612875,47.23820111381649,48.463464708185995,44.601727530344014,45.76909648601589,50.03459204454676,49.462598141609185,44.9717154246176,46.05593282569412,44.413592851602544,45.21231822074586,42.777789720579825,39.669024921686535,36.05997042089574,33.90460890261716,30.392110276746997,29.011011763996326,27.256556831511617,29.20819685187707,32.05769296430614,34.9764404120862,35.3623424008235,41.70369843040963,40.59200620323889,44.00194667757043,43.069874550410766,43.83690853105275,42.639660084969556,42.093309179125235,40.49830753224138,40.84282083097773,37.187733965817216,36.32541563305325,37.53157072843455,39.13263913306553,37.81656034241751,41.539314546649976,38.62833063310104,41.316576311120876,38.25130805819669,36.997062767627106,32.414684120561915,32.8296539213378,28.611963280602907,32.140883457028295,30.296774508029255,33.197848499492636,33.691289056722105,33.770234621316895,34.398051187906184,33.163519826442595,35.602109889957745,31.260662057246154,34.32085058582157,33.012365760641224,29.31616520738422,29.745620698459042,25.036997730568693,24.094058783437816,20.811481626196716,19.69872892715696,19.381921576379913,17.781883677103128,20.90287090385235,20.445669833934744,24.55412480172699,23.887998097092076,20.422090786896387,18.40293705931991,14.81390380912258,14.428913645149269,14.595848554679,16.58402330873168,18.7782176120983,21.39843829296496,24.528238421213732,28.974845504548824,27.695632533918616,32.39390972471004,32.545468147120076,33.885238439026416,29.186537220454955,25.38899205077985,23.21247223495445,20.309192711013544,17.823521134610647,21.5585418248139,21.67105054381076,26.020769408836166,25.34709029587573,23.88471740464791,27.449389699301445,26.83691466813057,23.896726817492954,24.38326742784935,24.949515947504985,23.03834554778474,25.870682024353204,25.62319867619233,30.308538177591608,30.641576123396195,31.026116621192646,31.118197638477437,28.400923169918467,29.354314153904962,28.7857493415304,28.652046705241233,27.106819743795995,29.245088980710566,26.68685195667145,31.361747077361564,31.2690061361642,28.29251155666297,31.027153895374152,32.277442240007524,30.023734897110973,26.38301625924119,27.202864076109513,25.60858054782099,29.591420011823416,31.34995629613847,32.66593700796762,34.37415757387802,32.7272302974007,38.16562923651391,37.02798858890184,38.18790835886409,36.07088896169408,33.08359926701688,36.689059473947296,38.57376872945776,35.53279283191949,37.95484730665365,36.57685438116544,40.39980213288936,37.348282968153725,39.46962818795782,39.35862626451733,37.57288552707469,36.891851226016,34.86769407782629,34.96037337987599,34.77503202696014,30.311096635069443,32.043261073460826,29.89443753043685,29.467619680240226,33.00794040903159,32.76422823766663,28.54700909611638,29.19739444570599,33.03338429839095,30.098858078335784,25.993029538452934,30.470061664732814,33.777742580837,28.20666711649837,28.636359564896274,32.4918242524077,30.948356999372372,27.490109243491553,30.95981140513394,29.56583854254112,34.93941119395716,32.14167944081344,32.99298123500067,36.96386229927229,40.58277729457541,44.761945251510035,45.50662468431,45.92783516169725,44.24114170875465,46.444270952776705,43.90430432226235,46.93129112171228,45.84721117383996,39.67899292523812,41.75819502415282,44.15963294801706,39.988621576677254,37.65668897942806,40.200940714513806,39.40346784464581,35.3602451408264,34.00103263109898,32.60168984343542,35.38842500024338,38.80212978633008,39.38759561369671,41.51761042461858,44.74767724123761,41.85528262837112,38.020484794794854,40.953304769976384,41.48528662317649,36.49640021523727,36.367048481965725,39.44110344538125,37.91257754998779,34.86843177636633,39.41439036865086,40.45127539596295,36.42590996816201,37.26576486692568,41.02629608613503,39.21250994015527,41.539650412403496,39.98017753959048,42.886950577008946,41.80451704331361,36.12692987470713,38.582004808996956,39.808879842952436,36.72521287951857,34.21545486578046,39.52621740717113,38.205209442039134,32.788592872707994,34.047458626609505,38.5109295171419,36.50986830053131,32.40471220754362,28.213279448654927,30.99793313644454,26.864371816383507,29.641200665503057,24.56395078330358,25.757259841962902,23.09075043873177,20.31804839515334,21.15955507123713,22.523413112667427,22.84457184685279,26.36394806189964,22.730966483331084,25.432336575831375,21.87650633823443,21.776994902180817,25.766947410039073,27.70945255314601,26.491815781647094,22.650729983583744,23.373542746318535,24.936945597296376,21.110846114588888,20.63610254546693,24.04388621380464,25.33070270879686,27.16692728184717,29.108938793036508,30.960049922309416],[17.103957665623764,15.616287016518719,17.67963751203907,11.654506711831138,15.940230062481216,13.888489588828987,14.784114324750089,18.609489735489902,16.280731011467243,16.825325438678227,19.096165491508568,22.419192109890336,21.97169578352538,19.100397698215563,24.11476659609433,26.060561815500982,24.19359291830518,28.033781503527088,29.52294201987101,32.54417228415875,35.264095233134384,39.11390607971903,39.41874452200316,38.33866705184128,35.95026380544486,31.86935670034982,30.5895159165817,27.073788522994406,28.385601404938996,28.664538290058356,31.074984977045762,31.51623192241537,34.77392434576526,38.085825010141434,36.069359842124506,33.89570407389816,33.70312827493059,33.71768008213616,33.31062895561418,39.208246453369355,35.30197897029863,36.18921377651791,40.63113632481686,39.9932995264635,39.79387474257989,38.83079679339939,42.07075702209373,43.13904598268419,40.450340503333095,44.89446674505094,46.98551592904338,45.17683121227763,47.30331117723414,42.69875996755233,48.24892881096419,49.72554450617157,45.81410119890861,46.5236319314999,50.87838398297785,50.76908450055354,46.099828974326336,46.78319184891566,44.77675863050368,46.037849814495985,43.85621020783005,40.42026466272166,36.85014209828796,34.16880466236014,30.857512426111775,28.786749205318767,27.377116098998734,29.273073380431136,31.81246276458787,35.23889232839656,35.14182362160557,41.49598888447677,40.65632523629136,43.66657736867144,42.95996660172268,44.07628939767419,42.609356203641994,42.456936433967215,40.32612792428618,41.13763728284403,37.82071550074945,36.50345676734723,37.91225730785106,38.85147716074617,37.83643154559329,40.92506735099583,38.049855412202255,40.594471202253395,37.19750092624224,35.554782311780585,30.890272201481547,30.925768655231376,26.636406818949773,30.112095391798782,28.033212526230535,30.42937736240371,31.798555676309014,31.740731104612717,33.11843277598617,31.82470287117547,34.9424775794028,30.562025779534622,33.55847747286229,32.72798335734285,28.826195299513262,28.729512611478732,23.90981566163356,23.441162699821852,19.671616822549083,19.56803715863597,19.127824546266865,18.515984151049157,21.752051395569715,22.281824844809538,26.08681077457386,24.487441782963312,21.173765259075825,18.599406201618613,15.924588577513306,14.747162945789828,13.915879509047212,16.939272012915637,17.980474661028644,21.331829979132877,24.52055067195575,29.093858482642563,28.380681175050217,32.913778126466866,33.60518257739669,34.38924694114864,30.298105010362452,26.349409111113896,24.6867695261533,22.10294028886009,19.966979462077088,23.27640530828564,24.408140024926755,28.672744738185834,27.347610586431113,25.534989616254713,28.835285647386232,27.439130642833593,24.49532048064428,24.13644873474126,24.31516492037492,21.609971424467364,23.9994985989589,22.963401299886364,27.439481438453146,27.048145666418602,27.787375445626676,28.451822704320946,26.225766558936115,27.479767441575525,27.46447384963868,27.774572149383534,27.252764974117518,29.493582213272944,27.873167040234005,32.37397903104769,32.90805310736142,30.623535008221662,33.13895394541065,34.92309388814889,32.54967847547442,28.919453248269456,29.21143018750252,27.36570223878029,30.80963997220161,32.057985872224044,32.92429556083588,34.05684785416409,32.17660121531441,37.524900135229174,37.06930290919416,38.16148585687424,36.73913430592769,33.22251776924938,37.382938359719375,39.65714573789111,36.79522288528151,39.36048347685281,37.981151552728335,42.220185813821274,39.739419085732,41.66015104110811,41.66472057984808,39.50212040395126,38.86221656847966,36.64176036755891,36.569393835607045,36.35030239591318,31.831071443801687,33.007653744111984,30.51853683778254,29.4662488148222,32.806641150876715,31.97634816820936,27.78523619870773,28.675054072588782,32.080951649696765,28.625705623349067,24.95241786952459,29.263494330017863,31.958542746793228,26.07985166379754,26.69500455405819,30.329004511104287,28.262586317157528,24.855694017776067,28.584145484742614,27.70709876224465,32.952873787297264,31.19805496121366,31.911218923520234,35.64132212998319,39.73508068671595,43.70095883890488,44.79413841034292,45.080367206561654,43.659747337245726,45.962547836930604,43.43747022609288,46.87546408226121,45.820967567997265,39.61423631127292,41.921320955402756,44.71962252455909,40.539653161771945,38.2558385623373,41.172900562905355,40.590713025526604,36.39397122316469,35.29394660230335,33.15135104627015,35.748513183696495,39.015815304151424,39.00905250651163,40.96597916869048,43.7629562591375,40.86152918942145,37.23376652180966,39.67785305457333,39.89158860062658,34.97358005763586,34.80602027957235,37.40117816215219,35.5723449795313,32.66559297041159,37.279272377185436,37.89933220863775,33.61374782971002,34.83669832482337,38.721546744698195,37.28444656375625,39.88910619501992,38.608238187135925,41.83972781703728,40.53422678886003,34.914415956633675,37.86982533773913,39.18514056016488,35.9773724929347,33.924282688134426,39.51651556925916,38.125045629562806,32.74059816378498,34.519555217995375,39.06501719904335,36.97103267447033,32.87620772737743,28.373106355557564,31.520135136949637,27.176305245529527,29.204004560562478,23.87615625889451,24.822286885831584,21.449618690531832,19.28663095839082,20.81208279089025,22.86572195856393,23.47276658852344,26.557365139321,22.60425849726846,25.505943582671726,21.716078635834137,20.374901482924347,24.133271445037483,25.49698585768448,24.116434223991828,20.60914929472667,20.770604528044974,21.72599788293014,18.28608359984847,17.031594942225517,20.08560142582584,21.296012802332463,23.329518574817435,25.159883216104824,27.00908034535117],[17.850243832389175,16.08903154482604,17.498737485517974,11.242622770200633,14.086432015284085,11.206094786106084,10.968630465618993,14.545135630081763,11.891656923066673,12.070597002659612,14.459181936993248,17.835982088573733,17.209818312405314,14.480969529660882,19.535498823799067,21.366680403686523,19.64945927236574,23.654116042596094,25.583661618504397,28.39978206046555,31.37893192829498,35.22078329248491,35.79527036477613,34.99815216490636,32.376733536928754,28.247509193310385,26.701835660236167,22.9574115031616,23.933359424000606,23.99189122329904,26.48693768510779,26.763154569421445,30.06140366144762,33.40785418830735,31.365888803986273,29.305928426072356,29.026451396658103,29.315113363939762,29.115241959440592,35.075545129212124,31.48089390583427,32.21577092948606,36.66566277166713,36.32475223163976,36.44848939324182,35.68698061527077,39.08197407574834,39.77952098800001,37.00165568837481,41.679021127430076,43.46721793593447,41.47120473450228,43.406136984662,38.708015103969046,44.080498836422215,45.64801922519825,41.73092261361405,42.21883442351035,46.593490667839454,46.71580442522956,41.99829588717964,42.54799178312162,40.44208273560257,41.965696222716694,39.833992203262085,36.22475997492244,32.86693112730918,29.95399659298901,26.958805069972506,24.699566903755375,23.606046870190735,25.819525794285916,27.941615279515727,31.39250255406986,30.904168460067794,37.24508634391092,36.28551670634078,39.165407784121314,38.42218108007814,39.59700915813429,38.029504808881796,38.02747676443356,35.78446328091297,36.81293039745337,33.615593881366145,32.0559760198353,33.482634202677126,34.21586602970304,33.32217220807354,36.28520296469448,33.520101189833376,36.193010197855365,32.76091514332745,31.018089410358588,26.31830329519858,26.536227707667038,22.209886283105813,25.46282965609812,23.374406220512824,25.960852603466577,27.08782290138939,27.244986075190518,28.493825737617286,27.499932094497026,30.833314789483968,26.69842398697901,30.006206839976485,29.536394003630004,25.87669041691837,25.306009303488963,20.654520752358863,19.64717812836381,15.551509435518609,15.501586596951716,14.659568293364222,14.516024737994803,17.71706456897254,18.88960535299366,22.561365388478674,20.43762370040427,17.3478658016869,14.439982226044267,12.299359178573216,10.652330655599545,9.59440060767389,13.4351120972784,14.843788557897046,18.075167905301647,21.48648858184149,25.762685748727158,25.82570168183065,30.249726264646718,30.851044587200644,31.100489620521465,27.31990663180975,23.145524266799285,22.33982499335648,19.402304785579524,17.267926673921426,20.013254842002326,21.767416966565342,25.787640025797746,23.936812374282876,21.937227366284752,25.00855541140252,23.192269497079103,20.32063397406454,19.669175103798636,19.928124096255615,17.12015425212258,19.818794908309023,18.724266106125405,23.40254720636961,23.361960310818468,23.632672699630408,24.051549409364178,21.63259216003121,23.04468416507897,22.819972123312134,23.491794111545556,23.17042659455575,25.174616911225147,24.082832904113236,28.40214921938564,29.454244246628413,27.741333639310355,30.322826119391657,32.55023908714865,30.425557589814385,26.666725263416765,26.617515911246645,24.318079015944413,27.299340097352747,28.197946717987673,28.74961555263813,29.730271048975034,27.623429339257687,33.00319784159071,32.71775300145043,33.92478340929431,32.81501700522401,29.34996310232722,33.82360817025736,36.27417222584115,33.411021115877126,35.73893113535012,34.19455656781378,38.71446699129017,36.6370865546067,38.570949797280214,38.83548249955592,36.47369646797197,36.175359326230584,34.05730905289214,34.1538500784501,34.31153774252123,29.930365696883282,31.05419763961173,28.905194863460718,27.296853596770912,31.04436628453783,29.783076533974306,25.626040136015813,27.32158061118383,30.600307711049382,26.904978904941053,24.040277577073756,28.46162621992488,30.633296706320095,25.02249565596514,26.26057030248252,29.80298892413363,27.356495904395352,24.634036061877012,28.786259075381775,28.019501929043265,33.07935476077907,31.86550054477869,31.936909006693178,35.54130959143641,39.579253969678334,43.74251838257348,44.56013247578106,44.29091746093969,42.62937272546298,44.6156247327102,41.69918884705079,45.28312581067518,44.68006360533319,38.35447112781752,40.311208635501934,43.5291201458232,39.6416739847268,37.004592480545355,39.7944465186575,39.877357650150834,35.78159225235091,34.00606670009016,31.8782942656234,33.65217897871052,36.99346970017063,37.0188619845995,38.53134636420747,41.31477782395989,38.04190476645307,34.743635112369326,37.45512501299349,37.24725517281273,32.31463836448948,32.71614095031862,35.232603419832756,33.289940279678405,30.790801279707537,35.64822655876337,36.16046976869397,32.00681642365135,33.70833442696149,37.61716894565303,36.30817596750375,38.63357931487801,37.024167227590006,40.46915138717817,39.63893208035526,33.94248261394841,36.6854186789623,38.52455443902108,35.52128739098946,33.18442905829427,38.95944504946264,38.15117693178091,32.72699060545725,34.158097016417045,39.05684944372586,37.46819979211392,33.397836583477684,28.976103336554043,32.72832737610699,28.6857314349571,30.446238197046583,24.96142562990363,25.040314447336122,21.307179566295158,20.054248560879984,21.256943544648337,23.718907962820094,23.707770444672235,26.138390807830902,21.448072703374006,23.70116441417033,19.441163337897883,18.689641581408463,21.760534348668937,23.32625787104567,21.037172017309903,17.96618416596997,19.027164173189103,19.457491950004552,15.241094768536277,15.489336686373347,18.1155522184543,18.717029959524822,20.365011029212948,22.271205872018406,24.334705585382814],[13.856168485173415,12.455364763360931,14.170638972110252,8.956267433730366,12.910413047718642,8.818389893509874,10.054579453029303,13.23488741177989,11.050418366557706,12.968901438766784,15.19827294055492,17.747273910039222,18.299474504666406,16.34104396909116,21.14894689006105,22.858017132133096,21.889035692547054,26.1974479641152,28.7755739774914,31.256715473049017,34.55721667675938,38.29861765885299,39.18004209853119,38.56999704861424,35.71019777325495,31.64626921591776,29.721090051185733,25.77935117521614,26.252947839466874,25.607561872579016,28.25971104791944,27.788325633380452,30.929198674128294,34.721947011802904,32.80129644130511,31.243312977194375,30.426209190337623,31.479633724211922,31.431727002152407,37.182474079269035,34.13557875485237,35.049015687674704,39.432379415690924,39.27602988304573,39.68102393724302,38.851322836238396,42.33415254443974,42.8639259890754,39.78840888887369,44.46994486752878,46.065539656016014,43.93595131710647,45.82665138368149,41.027882243049405,46.16558329714321,48.06412824184238,44.236976587552924,44.42170824594117,48.88239816255176,49.36504563601291,44.72228089309469,45.16711049661146,42.910697228022045,44.85217385245738,42.783496519836234,38.94794720979826,35.923384798574936,32.685862955650926,30.087194191147915,27.442421767034276,26.73414885718634,28.98767927791048,30.727518144654145,34.40002459631627,33.40749827876246,39.654728510558996,38.682827180099096,41.19426202440811,40.440215482315935,41.70110470418018,39.71459141548927,39.77684571517834,36.974884534562676,38.13544356266244,35.28918792056425,33.651978160208984,35.5262173228042,35.74307941546924,35.42917908362155,37.945080220040445,35.456034796161084,38.16825224742506,34.51112529597063,32.34937413750655,27.61986497200265,27.652891130599002,23.32338017237996,26.031568942463597,23.487132378762404,25.144258188693275,27.14634867602169,26.59731014356948,28.69567300350271,27.132971493476113,30.79359704273959,26.43850096590901,29.314179362095334,29.038702099113927,25.089378062599845,24.365026039358717,19.621889611940055,19.626184339773808,15.586233005592943,16.731634321272914,16.628315851401542,17.270932799553893,20.71308072867622,22.39360347625124,26.161144058629336,23.57208877001327,20.799894824778594,17.57864704686462,15.899070036528093,13.556457419130933,11.2642714533951,14.867887535232333,14.418553859529998,18.32055160935622,21.430296958726238,25.913509979922857,25.995369692647273,30.184465538026775,31.422815434843567,31.4839711595163,28.244126705284554,24.267607123242538,23.395726402180856,21.330246676872957,19.88092505525309,22.46399253441406,25.02098372828068,29.1504224585127,27.194955210560757,24.82609719877808,27.652232732538195,25.46603347013059,22.539352429653224,21.154596540284068,20.675993478963168,17.271978976006658,18.970480091320493,17.410373521160448,21.623000496888498,20.983652988760355,22.067260295890204,22.971522193229582,21.23096754745738,22.475343203152732,23.176667258769676,23.641150826052222,24.282698013283454,26.787162219296007,26.23910248821506,30.40289473545061,31.546952914922752,30.204830719944272,32.27414318892902,34.737264000645105,32.276412253950404,28.772850085395177,28.336638138847906,26.266826917009837,28.91605211070428,29.540954606829942,29.94101538561084,30.401131758694284,28.510345830225237,33.57425435653828,33.82154143372325,34.709839310495965,34.056671270587856,29.95102367635529,34.622038942615546,37.307815183758755,34.74039328613468,37.51591573676317,36.305569411598164,40.91616823807652,39.25298984506729,40.75347097987091,40.86576158796828,38.23520419012779,37.65303992171494,35.24865004671093,35.017213778034524,34.874413116817735,30.452067747581392,30.988515337560422,28.37108823614243,26.476727416133183,29.735237334374883,28.167805816765465,24.112158956029724,25.62473495206528,28.50039625960433,24.519385241395746,21.81524514632313,25.952463989537037,27.75625830780658,21.90320705531978,23.111173803033882,26.453034071183193,23.754636371811603,20.971846320154977,25.18443365765948,24.782644227488202,29.699004993575727,29.20756528116737,29.267821542369248,32.657552219971336,37.032018527835405,40.95134032640075,42.09281844517902,41.87191931614518,40.522810008621896,42.69438215072181,39.98441746598296,43.83246430436391,43.073227761272804,36.83155795487669,39.12190415190387,42.486624678122,38.522267815231984,36.111822886970145,39.27643553385413,39.28394731113128,35.06808160177339,33.862605978850745,31.0426679642365,32.99994161617939,36.101181118601524,35.55770139501951,37.13142408324627,39.51256956543656,36.48358176738413,33.21127425595433,35.32459994510582,35.084908741595015,30.267605440290158,30.333214939019378,32.4868880825392,30.39294933481041,27.826975459098826,32.59605948252185,32.85764502053259,28.504384016181692,30.28931525602806,34.2509407120287,33.179392350158054,35.78282182844089,34.52897642264141,38.1219650794244,36.95619992679847,31.392035791179463,34.58918518434176,36.30570391375914,33.17947737836704,31.351855361342395,37.227220678964315,36.209192814726734,30.91023164989273,32.86927968409099,37.66066453535784,35.895533528766364,31.90034675160236,27.29753948145482,31.183325249599637,27.03924035231813,28.16522664936047,22.645086431294885,22.61536091481901,18.478655603597385,17.690155360789902,19.447855286080866,22.333505616125137,22.69190489170662,24.809960117741635,20.249957038308843,22.884294854306503,18.83190490464832,16.59993203349766,19.652821919002545,20.57830414883473,18.71401353340001,15.745947357111472,15.86400110036537,16.050158258697543,12.649356872197432,11.554434619316416,14.18394725808875,15.168850805318796,17.18264092424667,19.102817156080583,21.057029595562703],[15.70640193851482,14.833267077889413,16.203975944974292,12.226555574622022,14.96640289049992,9.31532897525848,9.54820879446444,11.048916259436288,7.772040595922464,10.384580528546925,11.722982562953565,13.78233143086119,15.553169443532552,13.81553486745713,18.05959428084331,19.91836868644849,19.924600564504267,24.208520330936597,27.49381181789272,29.8405231399362,33.37527322649547,37.21098160890795,38.350781218749795,38.220907806703,35.25315785274247,31.11198283721436,29.05807549269535,24.857827060443974,24.50737189930272,23.247393787568733,25.26735777407243,24.604091843061617,27.314761398766848,31.36196600192924,29.85449601911242,28.81301491218247,27.968965781313443,29.859274488389428,30.354203115727785,36.15241933439794,33.682907748769935,34.133961233110405,38.47212171123111,38.853294449226574,39.68045315915874,39.23043211704601,42.83222692048813,42.84856040012911,39.8113936930573,44.75701251164234,45.91483687961322,43.55012937227392,45.06584599787629,40.17701914789456,44.90269287207346,46.88326529091622,43.030000453995044,42.77275298956314,47.186011665709906,48.07247245516581,43.27585145236942,43.25428399601753,40.6756585238652,42.984134373987956,41.24323060851464,37.208445595608026,34.260919619646266,30.62930636362579,28.35706823589151,25.17565459830719,24.905322041898184,27.08324823223406,28.331644638867377,32.305909554682366,30.85069363323255,36.92438399581103,36.24788215129844,38.339353733964195,37.866489486420484,39.49143746986233,37.429639510884925,38.00683277547225,34.9142660453965,36.645863945969204,34.161663516224586,31.965049650708625,33.75549662317028,33.33893694579089,33.14519122514355,34.96948339922733,32.5176960762675,35.01303848614936,31.15904971391982,28.723943909863138,24.071787121984002,23.78355876848793,19.55332159071184,22.140625724839595,19.56797223047057,20.982831297400416,23.645274280714457,23.460011657751007,26.00959457771884,24.960790033996318,29.32538734331244,25.422152018892685,28.504647021197233,28.94266254763576,25.28623367125155,23.727347297692724,19.382885826152332,19.13563567896819,14.689642129515022,16.526348530660343,15.701152035626102,17.321730538766598,20.242336766012645,22.764472844092346,25.781041945157902,22.42145090643941,20.087219203182297,16.71021320605467,16.39071344756752,13.862213286642554,11.341030362276992,15.814043886426655,15.122526687904802,18.92304306538034,22.045193827347184,26.033194482912627,27.15059352053508,30.997776829845094,32.33823124799031,31.62265040178169,29.065851778246735,24.978404769419992,25.140023076537688,22.91939262051009,21.560316700128922,23.342164988687305,26.414806848850098,30.053476349740283,27.448772720115713,25.037749455597844,27.405117217036423,24.501655579109336,21.904611254713405,19.832555771688234,19.310325553683167,15.339533284634344,16.88438415097667,14.23597740567964,18.292885111995414,16.999253312563262,17.835050489422184,19.247488210134218,17.896497946258478,19.77896127737364,20.633809724516034,22.06627909868778,23.593903378031502,25.62452184511349,26.170561564706006,29.871441187344953,31.83044855535044,31.277816851143335,33.37234448754595,36.291588057993664,34.12258511325019,30.585092003966544,29.76972604445205,27.252519122071398,29.148780880856307,29.15123999442585,28.916821835057007,28.849182526343167,26.491242268638405,31.410554152924508,32.299849697981124,33.32282236639675,33.426113676542144,29.29199747704306,34.450181314120094,37.417936414008885,34.964895433576665,37.403781507887786,35.95708705061611,40.93244410266165,39.83746637341851,41.35820206791067,41.79367411811893,38.938031025723284,38.74765476048117,36.45141806174792,36.33751402995076,36.52252500935969,32.31824667898624,32.5955058986751,30.200512653756537,27.62087198349794,30.984421899712704,28.748969537212147,24.9304442243731,27.19103806319978,29.573125565580703,25.202503156808113,23.615791030875616,27.501122221113462,28.36293123175417,22.77814775477528,24.556085706313187,27.481055375375348,24.14646322860711,22.122826043320668,26.62711130239329,26.721560757625543,31.20335174164977,31.77340109100029,31.344328376730797,34.37797632461854,38.89537764522906,42.726010494407156,43.875544036638004,43.18007089510676,41.838773743418585,43.78313317837979,40.818611165271825,44.94610875209324,44.57046615675137,38.34730895595259,40.42927347132997,44.24938480229026,40.57681337430488,37.98045335863717,41.137331717704726,41.72240374552935,37.608394659933055,36.04207079143927,33.010666177513194,34.155277032009344,37.162423171712916,36.33382962670327,37.36885261980712,39.40203736830785,36.07916760633714,33.34813841977345,35.3130565478259,34.43931452886137,29.798209149588374,30.375225585557917,31.999639178820384,29.587558934055608,27.6229156175887,32.51597089469151,32.30405097267339,27.9500732644528,30.45843616655093,34.430238758015285,33.79876701895354,36.3181034623236,35.02892143894971,38.93154325264394,38.01656057309148,32.591324669180814,35.848770811959305,37.96656358801426,34.998787283391465,33.2857381133556,39.278987990612755,38.64326231053155,33.479972336749796,35.397616959858055,40.34219646686009,38.88663777139033,35.00781185363842,30.46061976771603,34.703796551832625,30.747511830652076,31.36412701803367,25.87654127077465,25.213064861206778,20.679601100611624,20.899232721957755,22.681468737222463,25.912971494252876,26.02187568928799,27.46040086754081,22.491118705315987,24.556764860594953,20.267139028671632,17.950085327906667,19.900371354844598,20.430808534981967,17.5190656534554,15.69002502791752,16.140749307812996,14.967857837631707,11.489136706560975,11.262125821275367,12.390582526275042,12.233244626588233,13.962038164775855,15.666988983590388,17.850156560969832],[12.673520802782686,12.014041425639395,13.20217168495026,10.731240424570284,13.573088604573574,7.4285089465047776,9.08723400751024,10.112873073593088,8.395905927643831,12.306919356032655,13.831464247657914,14.879848786798538,17.1401624142359,16.423855157399007,20.394541429948333,21.82219101119788,22.12663807865111,26.620176007280445,30.22101677292847,32.13731740477807,35.89214427716931,39.48359972862399,40.88507465218286,40.77750325233474,37.58198294660531,33.62026141222132,31.199493490316485,26.991948729829886,26.475967146560095,24.766411142008803,27.336105829972137,25.860441432191944,28.599391193008397,32.90806453306398,31.290819355154493,30.572418352668222,29.12554338635279,31.42649793327051,31.84542003476974,37.29175627374332,35.2485553256201,36.072180188838146,40.28878640135671,40.66985200556471,41.66304752987134,41.02580828101291,44.66035669739922,44.63919448624646,41.295801500021916,46.1297128865784,47.18952409740014,44.76622213357562,46.33994366679736,41.424573748409145,45.99366659656937,48.289703788479954,44.59346950199097,44.18195102324405,48.66613434861823,49.78960165776724,45.205665173206704,45.302303825633174,42.760725499589014,45.37743559687914,43.5398012890078,39.37522248575703,36.89862039437077,33.1549992880561,31.31434513071103,28.109628371194717,28.122928211734244,30.493603644510657,31.414038276625554,35.30770150942022,33.45298918057587,39.395240140672556,38.44820649100841,40.304899647675285,39.621497490815,41.10861168657314,38.62121204193925,39.02178399571638,35.496575077136114,37.11747689561614,34.91147645912003,32.884696875458545,35.17229672355939,34.4840665276599,34.92101981156234,36.591540912346105,34.543110072209025,37.249925784397114,33.35171644477326,30.63164310001252,26.032017607041418,25.881012429493513,21.765854910427155,23.478246281342823,20.457326575879037,20.870623266914183,23.99231607757165,22.841855591460934,26.014273574030238,24.20564473062458,28.568119043934132,24.436010400154412,26.99735110979887,27.484602831693238,23.62770157113687,22.081065787058403,17.76275699945284,18.51966122368124,14.524502021550607,17.201636609256074,17.3750883726614,19.299542373189414,22.533361035482667,25.18919646184595,28.582760083836526,25.148050782298085,23.065032947843875,19.553443122689774,19.079642497839853,16.11141368312502,12.868474978321874,16.495357601170195,14.281680711693216,18.407525255108904,21.106491370847788,25.199708122509094,26.191711901865297,29.770904230086337,31.629435342114487,30.86265482185201,28.750010805127193,24.967142963403756,24.959702432972787,23.570703513095758,22.836008731095202,24.562203488172095,28.220621979828824,32.028093606421116,29.543490711474888,26.80943658551978,29.01101652254075,26.05825869644978,23.37520581118332,20.894898036973174,19.65909573338038,15.52274227285163,15.933823646895739,13.319960130729967,16.73249363639408,15.250902125355879,17.060289789544964,18.609001782473868,17.87731420688564,19.188825507916174,20.942764215469275,21.741119065531155,23.913552972611484,26.52434898151693,27.259037572540507,30.848581585303894,32.64101195518319,32.2980286358398,33.868474285530574,36.90640983414221,34.43042417696571,31.182442751731415,30.074616717159795,27.88332513330873,29.567956011881062,29.45255907604414,29.25129895961047,28.828803922589778,26.927852629113456,31.45069761800723,32.6328248106411,33.268731266666265,33.60162752713212,28.942491032636436,34.07721108018216,37.16333998020249,35.00264667094059,37.91023487878238,36.883616336772626,41.79019886465922,40.99184188571989,42.05856338600124,42.2846362913912,39.239477387656926,38.72921442272903,36.192089845097264,35.77748328302221,35.67889316279041,31.5056123970444,31.295292251548634,28.57169551432672,25.819544031064005,28.718620614567296,26.289129655451607,22.636331395611993,24.72323652846901,26.731591080748114,22.218580204979997,20.89305957367061,24.459015385569355,24.98301078466925,19.36060701820835,21.183581488325753,23.89278357553516,20.397753718900894,18.525059424203263,23.064252799007328,23.409639579574286,27.663537404871473,28.810530009071066,28.2418613882223,31.056553674122206,35.73061751903908,39.391363615704876,40.70305975088983,39.992722744331935,38.86145055358667,40.90952813413141,38.11856426511038,42.403295117622,41.921830427781565,35.81957964376477,38.12327271530177,42.024403041119704,38.34646367447977,35.94047918183208,39.34983372719118,39.89992663057017,35.75654938852909,34.62593515632467,31.096155229685408,32.35866474237429,35.131865721782326,33.873993789035005,34.97580149389288,36.703466073761696,33.6395393216597,30.905677482360584,32.39132893117088,31.563418091215354,27.042479815535454,27.313282359625,28.691742218297087,26.219495974027723,24.184745332732735,28.9788465486904,28.640079511672827,24.193472965409224,26.728592114586455,30.706820182112324,30.220167139814954,32.87898256762615,31.828833989958326,35.80088560959128,34.689772024462776,29.407809482429364,32.93210861694896,34.97733834067058,31.98517473302811,30.638815795264332,36.635796382107344,35.9304065889715,30.940397273994737,33.16813924410666,38.0012899597221,36.51781862103932,32.76837839585524,28.213272136746426,32.58277257306112,28.734849963163878,28.818842332075878,23.445961388449682,22.500340667154767,17.773100893564404,18.605296667039426,20.60913478459222,24.09885853912002,24.351726069657857,25.385599528439382,20.61375783198523,22.851756399659617,18.90599698400314,15.501633335003584,17.276180314730244,17.260719529717953,14.862637308579483,13.156924687942675,12.79849054185627,11.39352667228814,8.873938325558477,7.487242257421273,8.560687974589486,9.03099748041982,11.202500393896578,13.128560011666579,15.198431991898538],[14.272839570947726,14.559111901259474,16.121593191646703,14.598261475324211,17.710516138712617,11.484625556093242,12.855586590549407,12.829164856369449,10.467725970629642,14.35255965990298,14.829638041275523,15.420023375256344,18.838790644816264,17.911684626153665,21.272300867537215,23.02157539938789,24.034950062342077,28.282298645599965,32.12894750841748,34.19052376723572,37.933205189509216,41.6930840681329,43.0958948663848,43.247841622759715,40.15052853754004,36.07741288245481,33.806353550872,29.509090913366144,28.54484813106939,26.555705439839894,28.231567734466516,26.89418977450323,29.03618309092693,33.49366887330256,32.413155026258956,32.09555106075575,30.835504154307838,33.65398532517799,34.45558785195292,39.97468005833687,38.16369685094997,38.57760369547312,42.78195138577787,43.47521552948512,44.60723798602442,44.2234029076151,47.87796582835306,47.64068801766433,44.447105065969794,49.419965093256145,50.29025668491049,47.763859291532306,49.095167526906074,44.159378155619834,48.47351158698219,50.727588030033985,46.976170309807436,46.30090895687768,50.70501875558645,52.0345703796205,47.28565021983294,46.96752104251635,44.15211081045179,46.890065104350406,45.38369044360714,41.17491670961851,38.50242017436911,34.565596308521265,32.69572464296027,29.11224171884294,29.22996106714046,31.21794397652598,32.04739609733159,36.25809768146839,34.33278163474135,40.09085761811065,39.640103113661745,41.174411194817196,40.8835639491057,42.74116098621001,40.34345132590445,41.20104746922396,37.5534781836451,39.6047640056078,37.62922526057017,35.21031590004113,37.28974357069726,36.16134360449444,36.500473175008075,37.53435382252162,35.371250657999546,37.64931128953351,33.59551548563666,30.736094922966686,26.340141482750834,25.601727251534744,21.741055589318087,23.646228669320756,20.79531590574086,20.776107577181012,24.828046497017183,24.051316813189406,27.690623388801768,26.3181032954353,31.148111561369824,27.36248011984744,29.891631434695874,30.784733063650503,27.071976616511197,25.135752835712953,21.150066298734934,21.91695683781549,17.846773371948387,20.681153742925865,20.270359159925814,22.45906343671101,25.279065719087157,28.173234964539258,30.97747421344881,27.22941526459202,25.24872062305942,21.842952070762518,22.001169168290424,19.278168388196963,16.329934831527098,20.365554754160495,18.235992098986365,22.264222327493698,24.89662705611825,28.744863392371943,30.09706203493161,33.487260681610465,35.441586472986664,34.35913604883664,32.56871205107301,28.77022268934443,29.063023707358298,27.554374833097153,26.681458718305684,28.216545289956922,31.79810571133875,35.37936515975293,32.61967043226431,30.02818689031206,32.06941250096581,28.79022622120497,26.35390680669038,23.6462596286621,22.520826435684288,18.15907861987856,18.3521183701557,14.805283713119593,17.550148773807077,14.696853089583094,16.70406470088695,19.174055711584625,19.10846616233032,20.98826771879047,22.881810643319913,24.423696575306206,27.08063449004196,29.29666843418654,30.566482258084214,33.91665046832407,36.11856174936843,36.03546120028996,37.70298674241799,40.84976022339334,38.493095687573984,35.20590100814711,34.04810337780602,31.688103914633324,33.107957383327765,32.70851840034697,32.14634160885103,31.396355406959984,29.156111271293575,33.50326319124753,35.15598649342861,35.8932749287348,36.69210728785432,32.07415022987135,37.42026421995533,40.627184822338634,38.53005251612338,41.220200542694776,40.0109468864306,45.090244135535656,44.484593253817074,45.65063290874739,46.03183609994091,42.93155124608946,42.587972018874034,40.10070775412176,39.71435849646779,39.67815333988827,35.573382687967204,35.221958092108125,32.47202642078424,29.529518692105537,32.22514140890281,29.513644222638494,26.092317774635767,28.223776442092028,29.838423314336797,25.18061334693326,24.2658790009614,27.458004362839358,27.4278022688039,21.903446393643637,23.707502388673376,25.98978984040481,22.14654096269504,20.45622418841702,24.86408352970819,25.725020059841135,29.62734822608301,31.53418588886424,31.022044734197895,33.53480429456715,38.436316448203826,41.78478400117769,43.383198398740184,42.65292060910195,41.77046971025531,43.84997394246545,41.1409787125106,45.59271903636749,45.13461129057217,39.1632760484003,41.54020358205944,45.566408205798034,41.94450626010597,39.62996624778443,43.13136015833951,43.7356818180776,39.59844240109577,38.61046004288671,34.89082099834117,36.00835174150183,38.63500991399791,37.07296661689137,37.979079897921,39.32431718729387,36.29391329783375,33.88247952070276,34.94620342716941,33.798162052577034,29.557795222724415,29.854357214057092,30.658905120752255,27.947071275674475,26.248969141460567,30.862403762629615,30.02926332340814,25.47563545466546,28.380734821852528,32.31395329008813,32.260165630318724,35.10027320770943,34.355408647877084,38.45786361963352,37.17304446746778,32.15632220884173,35.93953377198593,37.939507135938456,34.93668137570895,33.97863128342781,39.939667482106564,39.12773780325056,34.31363831225222,36.79814635675473,41.505435891481255,39.912289959186054,36.25256292165613,31.663047318940627,35.92060098710208,31.988871504360212,31.73567283227872,26.50609056979268,25.66821147607342,20.84897846484667,21.86089658132189,24.183455851433887,27.71324933672419,28.204164918904155,29.144739679161148,24.529882334025164,26.751353355568195,22.8997258542647,19.144700696686655,20.48295306440447,19.877534686582578,17.366466192377466,16.466070968551406,15.590545231434499,13.294187231869328,11.899281937346013,9.726118135127674,9.102700552550598,8.638665407929699,10.877166469736313,12.104587169321814,14.076695225173985],[13.013024691762782,14.169599171567562,15.486932332777005,16.314585184962002,19.333695426210536,13.448611791233828,15.697520924345506,14.972897124111133,14.041540337505381,18.50667929727695,18.953149668394815,18.55982667241633,22.48530973477114,22.378710339505165,25.324263180955054,26.705354393208744,28.124545000271457,32.44764307468571,36.612031779246806,38.284567444460464,42.21547839514955,45.75640461907462,47.41772192370491,47.65860078404363,44.37427364136434,40.464081502850746,37.892742516388026,33.603999864152726,32.38999492228562,29.935762192439142,31.880234608737606,29.79215199217278,31.725580723188376,36.41376553540182,35.40197545159471,35.540599907853995,33.73978232652935,37.08222585063117,37.90306207854701,43.02098199120844,41.733536932646935,42.405410016348924,46.45649959883229,47.23554692771937,48.57390086450339,48.0590575328966,51.75163592885797,51.41685709442922,47.944894528438525,52.811408085611845,53.51572530170989,50.91771612206505,52.23378494740274,47.305621027155425,51.33419882663446,53.90063442115,50.321771522260924,49.40077950993291,53.82587817372472,55.46492849698091,50.920049881929884,50.60766170370197,47.76503543215396,50.84927050477807,49.34672136068606,45.01785555574706,42.784783509684324,38.714365342658866,37.267959630382876,33.60212963344123,34.002099992135086,36.070877245347404,36.56393339430083,40.7458135187053,38.419837539108514,43.936627649857186,43.35461344695796,44.528996788359315,44.13729632850285,45.94478522938353,43.14040363406444,43.94111352089384,39.83359552807538,41.87538205989396,40.30094515280415,37.97630467112085,40.485489899908515,38.95222478746568,39.919951705228705,40.58487477781866,38.843608961422596,41.186740452020466,37.09417608603505,33.946898829611804,29.76523964195343,29.02479350431027,25.463829086588653,26.475963286928998,23.33222755940769,22.037452536084288,26.75786687291993,25.046042883409964,29.42718914212534,27.405440482843115,32.23756365050765,28.45440367258388,30.271719901512128,31.354337564249988,27.604299306858106,25.610973336796462,22.018058896529915,23.81038866259025,20.385803921444396,23.864893603704022,24.18201174377168,26.625246071461344,29.599751359195373,32.634651065938066,35.642171695964365,31.779565795738154,30.04230190645199,26.559632817314842,26.685099943965593,23.68574773341518,20.322908192349527,23.650025628722446,20.310359040613612,24.38103042414673,26.44517025462199,30.1810370684109,31.476059185718498,34.40637761811425,36.931168977562905,35.70846184078929,34.54944305609409,31.150279654904665,31.3478221378005,30.651379646869113,30.328478763337767,31.748793591691285,35.81241709628992,39.47847195517012,36.78273101417901,33.94574018727864,35.77415883422571,32.405825128262435,29.98713928535603,26.909765965918076,25.178842988646153,20.81044281950767,19.78668537988958,16.262871379924686,17.647052185476095,14.097614026776032,17.3524433853961,20.177153670173457,21.068070752408286,22.405776070375495,25.212819201010543,26.269442294953034,29.649947220135143,32.27967541025307,33.85736463164648,36.98253918981697,39.11141050565979,39.29910468095146,40.448459230321134,43.71291397422375,41.09813506312091,38.13650285062298,36.68813400081258,34.64741271758059,35.75732229622303,35.15856536548652,34.529444456442604,33.3078333749125,31.50299254985438,35.256743763947284,37.360391783810734,37.694142546184025,38.89275674527864,33.80035602562327,39.082409109366836,42.410297829283685,40.68599246587173,43.773482762943054,42.96567254047905,47.973420293077126,47.745705404600066,48.45279690971179,48.651181565094106,45.3636939241405,44.73048587981171,42.02972979443136,41.32064245138056,40.986194009842286,37.028545185126625,36.08884295128845,33.01741989375444,29.901073545662427,31.85634004701548,28.87461406430947,25.906423114976146,27.735637975397363,28.628009543669492,23.909475750168813,23.575710476434182,26.003555801425026,25.223099540722846,19.96637062667846,21.69927846474629,23.312051611405856,19.18321408341875,17.923442126942014,22.047819140531267,23.547531044603677,26.79735496127982,29.854473049388297,29.218539151371292,31.204946301115967,36.33378333641234,39.23115102878814,41.1757328653971,40.43967382827732,39.97468376347277,42.181923978204445,39.79127665511746,44.44607926504261,43.8588013389176,38.20668824953784,40.85860282809941,44.966485498680576,41.41363449709271,39.42180346042012,43.20383459761864,43.76784932512916,39.669110657307755,39.283213848715526,34.98568656738021,36.17175065575178,38.39574480385969,36.199670517092876,37.094249940895494,37.84111000821455,35.23433355823895,33.02232358810005,33.22806359393531,32.018517710932265,28.204836210705274,28.07617508152614,28.20801114269863,25.360290050028173,23.80283876972465,28.011212021102004,26.724657275003473,22.081038047389665,25.156936076705794,28.97836104594061,29.383510869629745,32.46465690786733,32.238418172344176,36.406996090865896,34.778975341394585,30.222433226384844,34.39713006588437,36.22073884103685,33.245515665215166,32.984807624490685,38.789524508263575,37.83928503879822,33.44378235623913,36.375538903763214,40.780303103056426,39.12124756666705,35.74395054327027,31.256684118498015,35.483694830293985,31.751549886077566,30.683212622972547,25.876109179795964,24.790928484571396,19.974611173086956,21.767908293145982,24.365750937698017,28.0405440177031,28.789826433397618,29.19256167244729,25.09157743544336,27.411410499187514,24.15901220759979,19.303569951085365,20.120715158227107,18.522390273136573,16.90497240578842,16.664401825620843,14.550334158735641,11.660743143912669,12.590966875402682,8.834165800262609,6.6045501757650955,6.549669022899585,8.95216821615149,9.704079028671098,11.054831235631434],[17.410187967065436,18.726941736497928,20.08897747001206,20.589803933650476,23.371547772516077,17.210523428075053,18.674051347711984,17.222587092624323,15.560270971241946,19.66281860670372,19.194782726659785,18.390713189317758,23.133833542966425,22.890279750209448,25.10810102609415,26.715706012206365,28.792562684729678,32.77777384663752,37.161428494485136,38.91545243365343,42.8049858214601,46.47673169220879,48.15258878533175,48.70681944591025,45.529715462484575,41.54708761414598,39.13580488104428,34.797383655908845,33.11809450982348,30.438566998181685,31.440086800008864,29.558734055918173,30.84352171270318,35.56370123603066,35.11738183704921,35.6480533639982,34.11087113865886,37.912363592619755,39.149887706427315,44.33721139264684,43.29754243978782,43.47816986787524,47.47696395721687,48.622405395259534,50.131024726109636,49.950570320238576,53.653072616470105,53.02617953148248,49.774311012016376,54.81296962371218,55.27095494097992,52.556895110232745,53.56223976497238,48.63603291139122,52.35981589353646,54.8351627250471,51.21378231899555,50.01107909402788,54.30425249201322,56.15801132742808,51.4478799335605,50.67707300631522,47.56920309239968,50.765971957179765,49.63057949458114,45.28720331053597,42.90920919959714,38.68057700665735,37.29778860378674,33.322112213144635,33.89013326066025,35.60816078774333,35.893091000224516,40.287186744421106,37.86272819965116,43.09252623865423,43.0026993072228,43.82671229428842,43.84715505013166,46.031548041486836,43.389762398189205,44.70188462127081,40.57251310085747,43.0892216599442,41.73574544367963,38.96920230677187,41.16652974524354,39.20860746736601,40.015574507806875,40.0203340566018,38.18633820131675,40.073622611833926,35.902289580287125,32.67586495571811,28.811882876277327,27.547411946044285,24.391133603724615,25.497161299463148,22.675472081229415,21.12656991945637,26.523715230356437,25.466700105450425,30.048086360166312,28.740806683752812,34.02044968560374,30.731917514285637,32.75307561098397,34.28650776898464,30.836631892231416,28.37752896580478,25.148279117426195,26.48860814791089,22.868541657194065,26.31334476696567,25.93064418994313,28.635927493562143,31.120423645975006,34.43437573555452,36.76758698993143,32.59798832533949,31.06233332677667,27.735584330649363,28.55900287645168,25.793350456496743,22.744321994890598,26.57628919885104,23.700671976669764,27.56374122287131,29.728625604119934,33.10580884806218,34.9577054814399,37.758546138796845,40.16400175131158,38.52962392729409,37.63279673148823,34.117794719899436,34.83479019536165,33.76611997345918,33.223298688399375,34.33510929072254,38.32218373443943,41.64822306696203,38.60403974045171,35.94401058342958,37.55552362573235,33.850804575913145,31.741391593789412,28.495167506255243,27.01625602749202,22.54728215377681,21.658131158583213,17.41083432573998,18.310943699424634,13.71118907438544,16.585050115587553,20.1424427905934,21.505581137133955,23.48779622193169,26.131930598400604,28.07342667624396,31.768572245526613,33.82966101375773,35.98343273794244,38.81335648737621,41.45438731421969,41.986389422749504,43.34246740708503,46.76947371793392,44.4167441127172,41.336045947934736,39.83751909566941,37.47964352173205,38.264394195572066,37.34437261572126,36.29589334419832,34.81440894521688,32.56218318836552,36.166239233303564,38.68503677854963,39.22720353236285,40.886491701074505,36.035667912350384,41.55384087567132,44.9853767765922,43.25801031773469,45.94389522496477,44.83863695442088,50.05095429524281,50.05110636453777,50.948950653337754,51.41276021109465,48.0880898617816,47.78548378929264,45.24180752951653,44.699932874775655,44.615721805907214,40.74828118832708,39.8422078256668,36.98663904154736,33.62787372792046,35.712716518158,32.4626535843358,29.662804035452822,31.852183052127728,32.54333067075676,27.771952698884828,27.916413368256887,30.22290451582109,28.99071188934611,24.099687300058772,25.98988709336265,27.307023133221872,23.010332574110013,22.173110833150577,26.17363973897617,27.902489271261185,30.821357799314494,34.29568507306897,33.548454426527115,35.321525990607775,40.44858099227039,43.1975815724109,45.177170167271065,44.22977522070387,43.80359359783267,45.851019419169226,43.34002147335803,48.08704478933966,47.72996214513535,42.148793340773764,44.62810194883009,48.92364800437765,45.543683748900996,43.44913537558451,47.14856927307396,47.97944492881544,43.94831039198088,43.30751023232692,39.07090955210717,39.82082861160083,42.01269520251318,39.75213290655771,40.27768190791264,40.78760728819417,38.00194577979738,36.22927141699313,36.35192567898912,34.6867028151179,31.141616650835097,31.397308034307308,31.09598968830235,28.085782735453236,27.091865859754783,31.17378345281468,29.490687038564797,25.042266670266518,28.53079233712705,32.19417413096299,32.948883593705965,35.93173398600602,35.73140862532181,39.998285399430785,38.522617097687224,34.16866926403988,38.28990987776247,40.27853740438983,37.42117669083813,37.2046864604882,42.98392896416748,42.190810067024124,37.88438158134288,40.739165099703115,45.17835645697202,43.62511469324175,40.289618597176265,35.83799239173409,40.081474767886235,36.353122606796376,35.23736478587455,30.4777416601487,29.346021999507073,24.53305283788397,26.37345333530194,28.950558080795407,32.62497437261445,33.301279020494285,33.62254491176018,29.35242616019534,31.38415774655885,27.965312610529953,23.470772456617112,23.810719901363115,22.133293789949793,19.84897378674259,20.322056321755646,18.653212584180135,15.2074306985104,15.938978040918785,13.240099794967934,10.330124061668553,8.75028578530311,10.278056444721239,9.944818018816527,11.337084420312266],[18.92233775145637,19.570834709420105,20.98666197647701,19.818779877651494,22.38528128866477,16.0012072676178,16.524194854772148,15.265082747984863,12.385640496078441,15.833296794995446,15.000761204623808,14.792780637018712,19.412362904220736,18.547909089888737,20.80343508203187,22.75315380311846,24.727551851865226,28.54670182915513,32.76664125541329,34.80766424728931,38.54669359286624,42.40180238953503,43.89766571231225,44.477977380488745,41.46547999503491,37.361616436138604,35.212190758312225,30.87193889623484,29.233053117203777,26.846874861839773,27.396923375290807,26.165666761537054,27.492722671593622,32.03821403884625,31.645844389508103,31.898208331863973,30.85930214940125,34.35875846416769,35.692063807657924,41.19279531429674,39.827677326509914,39.676502005272326,43.77117166700164,44.95055720268491,46.362163462092866,46.371100949448724,50.04854433374801,49.40305766126987,46.41145057503131,51.56505783863562,52.07681749015994,49.39582842932556,50.333695059850974,45.41484458390917,49.28397959346985,51.48013954390592,47.714598818277224,46.64350638060276,50.886822912241314,52.537098762995804,47.63661472154224,46.765239172879696,43.62342062157389,46.579831471596336,45.51980645412258,41.26526625013081,38.53363227700962,34.36416778934357,32.70554770775891,28.708079909415396,29.14016690989376,30.741117277245536,31.18415149664189,35.64780682458546,33.47645748319934,38.84529397978957,38.94663674245992,39.99024260186977,40.16829651996439,42.47005279370377,40.19274524099754,41.66259413808583,37.913353877660946,40.54600954528556,38.92396234641046,35.97494173985313,37.74868837654971,36.021103593538335,36.28340368600994,36.44877251224728,34.252156704206854,36.01303603450281,31.84408027197608,28.823074952192858,24.822426874731818,23.450508936515572,20.105077630839276,21.978230080485844,19.466985138753035,19.011762277900434,23.9530450731036,23.858213434100396,27.83195727453363,27.243418730776664,32.600450814145,29.45523062689298,32.109930508889846,33.60031128307951,30.276765337697316,27.737573657481153,24.313773615871884,24.726098073626044,20.61092577340593,23.549097087335547,22.406178821982003,25.026027428503866,27.187299362863783,30.495645674024445,32.441082179766006,28.258218103681145,26.660166746056753,23.462541908625948,24.602644827980818,22.133366312117616,19.533668570780666,23.949516456919522,22.114452722773585,25.807288790323593,28.40322287531443,31.729964086875963,33.80787703438917,36.91578716578341,38.82284107146842,37.17475419676444,35.87182805720994,32.03506988885929,33.019927725758365,31.248304799826514,30.266150267115123,31.295490954038915,34.91583775806744,38.02805109225517,34.82852797227328,32.41104111275144,34.08157930930786,30.34898419280293,28.34503264892591,25.332650182981215,24.400515189286327,19.948484435517724,20.044516604108818,15.6116010479248,17.568933032250396,13.476221000679239,15.077657072013267,18.43952689728279,19.072723450215726,21.667713387894082,23.50414825193002,26.07234924495904,29.275234915893492,30.834338064265932,32.93071060137183,35.81581605339001,38.67014886953301,39.11551995016391,40.91408302764765,44.30071497750936,42.24870796898632,38.90688149169556,37.60103000560738,34.90800172742696,35.7988382801298,34.934084311823554,33.82032747639998,32.652556005250254,29.938097908991423,33.99486759743909,36.23176271843855,37.15739378861114,38.61180444279494,34.21263998022685,39.83404032320605,43.189209017557545,41.16969784220561,43.41395248641496,41.91595543200469,47.22646493150666,47.01329970569589,48.31148877447949,48.99732993888502,45.8132178553205,45.84636203890398,43.527086180771796,43.290331061329276,43.5334299692979,39.619806637232784,39.18231893393185,36.665960962668116,33.355860694569394,36.0875075417004,32.96763982047557,29.837571630975702,32.405892042742195,33.634530246698986,28.856025345778217,28.70671606772893,31.62063253049557,30.88192111006928,25.794506291878072,27.857903126957165,29.700634629272514,25.520450865407476,24.448359092440366,28.782504481362107,30.026837607302735,33.47271321009359,36.111744308498224,35.364235741384576,37.550768903564595,42.49911438430661,45.66212632605782,47.31422184435867,46.27632606601092,45.458625956190566,47.34703782595811,44.499355428434164,49.10804688685621,48.94019939317272,43.07596108733762,45.26549231516748,49.5684148134548,46.18607585029752,43.770504969732364,47.20777611134413,48.187540961528896,44.15162727274942,42.90982306726863,39.159239354873016,39.69366200322355,42.216144469707885,40.47511611510928,40.91758837366795,41.909403539919246,38.69481472171836,36.84046608639225,37.711453514107205,36.00112016510969,32.10225314684474,32.81607586383435,33.04447780924813,30.106628497776647,29.063645694505947,33.55106279614122,32.22121798995258,27.82594400281901,31.282734386742483,35.07679725683161,35.47183863385053,38.22102274405855,37.534055818875224,41.798231207837674,40.684198951788495,35.92881624501407,39.70566336692386,41.93066819462034,39.080111233645496,38.25579873767778,44.192602559719234,43.605596594271475,38.9519328685427,41.39078261352393,46.12886579786876,44.70514977297167,41.14340372071215,36.62552103815484,40.973762435513585,37.127051949452316,36.633977597795145,31.518134449216593,30.45598084703956,25.587013414887462,26.97006731147638,29.276938936072746,32.87506963673176,33.26200179956699,33.90790173563461,29.15712057822432,30.982400814820195,27.06245749880048,23.539142568738356,24.10148915945932,23.19410595950663,20.029167151251094,20.174668330078987,19.56868552655768,16.39356431477009,15.375611436256625,14.051771591164826,11.967247148974037,9.935623166709314,11.20537403145065,11.399787375704772,13.35881043782516],[18.171223865555344,18.41924001627228,19.263775676199533,18.30235246138043,20.026599164672493,13.648784541114937,13.942571872593573,12.088955535717869,9.857583527091396,13.839719607266195,13.321987439984348,12.538675889443574,17.163186289289573,17.100678423641764,19.339582109693946,20.837566143824624,22.85786141502493,26.8914216441226,31.341874479271812,32.983602299801454,36.91329876833868,40.53730038571705,42.26330963386908,42.85978177183176,39.634919670385315,35.69413542853103,33.230335437419214,28.891317484243775,27.15797633724506,24.512962803913755,25.730287578166877,23.876104230622595,25.489012460168528,30.153063218348276,29.456125943211887,29.79180218604043,28.317763316005596,31.97916900998402,33.23565145583992,38.506117634493805,37.424545621047656,37.52779790448822,41.52891383271158,42.70764088548558,44.26723795706165,44.17815287384117,47.88783000673599,47.161426558935354,43.96646734639103,49.0646664175288,49.47165215468066,46.74801992641063,47.71511495116663,42.788774645209415,46.5729337073955,48.96365606325245,45.31372059463838,44.18128453955656,48.48336197306,50.252188513218954,45.52781712279755,44.83971250650609,41.80828741351797,44.97105143026331,43.74082302443627,39.38977453429697,37.099723270068786,32.883227436580924,31.630886608268035,27.739740251585793,28.426051805316646,30.432492086364544,30.547545335677317,34.78794179186996,32.26645103183895,37.62154814744629,37.28525676769567,38.288629181265804,38.15723855942613,40.24783501432752,37.677901081944746,38.950820370423216,34.994325319319756,37.51950370746616,36.029013348893386,33.194932814300174,35.28477594811547,33.486161126574636,34.17636364893627,34.46566701270955,32.60035575776847,34.745623064891724,30.61921398275272,27.448110978584435,23.35260932097774,22.457699125177463,19.02157825100274,20.112936803831396,17.19300084564484,16.37369451941417,21.203350526554544,20.58313638268512,24.711786724956077,23.803493888116655,29.14551627631366,25.99882196034881,28.568879859849844,30.163579046477913,26.94030299016732,24.26202801538498,21.018159621899365,21.546844489509088,17.640823512206325,20.92143544661514,20.193463445307877,23.085000877676855,25.37137724138128,28.86506451816801,31.06797263835843,26.80651065551069,25.45837718267065,22.118990548702428,23.268246270499237,20.482550373431078,17.535005007290955,21.588533346902814,19.337580682815283,22.896782647351134,25.32044674170512,28.469317213286413,30.756502955451758,33.67565559799583,35.67622500141677,33.861443655056675,32.84098216390099,29.135243420165768,30.345235250634857,28.847597763921947,28.198405184614746,28.969872343458228,33.00789905831275,36.09568305662061,32.89179880693476,30.26195784362331,31.751152059567328,27.960430159160133,25.945971689363564,22.681030238905244,21.41577212141182,16.93670947594991,16.618614365905508,12.185582267017258,14.06246830037274,10.285123622829456,12.154446381333424,15.271541003306142,16.00362330932768,18.3043549906674,20.483351865018385,22.782793758063214,26.279337854387045,28.051252104881566,30.33268711518488,33.07968413777671,35.931556735945634,36.629561233288314,38.17569148091869,41.702205115529615,39.63152054398263,36.43086424592852,34.91240650382879,32.27115956256521,32.90144474591199,31.902436528992986,30.753158785650694,29.430170699992,26.933069691432625,30.83462577006599,33.14838708224788,33.910945800856034,35.478994818388266,30.919132117234096,36.54868379151161,39.95762936361001,38.07013467765292,40.442672742308815,39.133432874406765,44.41963161905964,44.44367196470969,45.50490019451921,46.154283195398904,42.865002248321225,42.866234217752094,40.51796910376588,40.23548947973298,40.518985026826016,36.73590900182896,36.15113435925938,33.74288664997524,30.239049874944037,33.00102239727159,29.731595136314542,26.70850378128064,29.553674128819274,30.67351999838726,25.87704724928342,26.155953692129565,29.039277066881013,28.094850505894506,23.2736646565983,25.63640851713613,27.450562585934566,23.22342023157646,22.589511478101254,27.071827587828558,28.212682219599486,31.556521069198627,34.2579569214433,33.164302554859034,35.30080755242573,40.10015173677462,43.405714363677966,44.82844429860407,43.52743343398203,42.563273413177576,44.29371193608725,41.303306450413345,45.92773954015736,45.93897956621145,40.079739058272054,42.11523703928744,46.54680557120371,43.32065410407681,40.805223738577254,44.18314380119407,45.41760204227673,41.47527152991662,40.04782984310804,36.27319340922764,36.48956721924523,38.97019801221485,37.220439305849396,37.511556060786646,38.50576089819444,35.197745609664736,33.44648275920419,34.41827982477607,32.60193937248793,28.692563946797055,29.619976963256715,29.89208548662385,26.967383384997458,26.073851446955743,30.672109741182037,29.42754626083795,25.173299288145007,28.76151348296072,32.53673232907235,32.87864311644967,35.41008656464714,34.515883523617774,38.81740085339163,37.97225951386568,33.197806792082886,36.79254675236076,39.24208326981061,36.53481337388061,35.55905561618101,41.49632122782434,41.210330299828215,36.598313035408765,38.83263359989944,43.66713643955461,42.51919603257025,39.023323201711484,34.638024847807046,39.22768633948693,35.626497785064295,35.04908998443591,29.9589246237164,28.4483314096102,23.580860347129054,25.40622548918316,27.439891724230694,31.127602788056933,31.22068943240272,31.496102977707213,26.600277645833422,28.110835810953827,24.231689218860417,20.86991016154096,20.98052024172014,20.12390481921624,16.620497181987922,17.116786472492013,16.916685916484088,13.485516111171258,12.301360766760792,11.990681314185563,9.606274715294601,7.050257372351727,8.083013027322272,8.782139882125332,11.131054760835024],[17.945120076071333,17.56597694188437,18.27331926482081,16.18268931571306,17.556614666490496,11.234998890099272,10.876654137039381,9.473642775188702,6.492047894200671,10.425298713709713,10.370094749388695,10.339999198814203,14.232067402782361,13.9327395368551,16.735300370599063,18.25277234823529,19.77097363262339,23.959241797099832,28.218926815328476,29.951985395043103,33.84484267116195,37.49393123207743,39.12846508579174,39.57318018839077,36.35758023165843,32.38513844150684,29.949991154165616,25.611482866621444,24.15975955062095,21.822468539734373,23.42479359886611,21.821262822254923,23.9152104633177,28.420991255371412,27.372217572401397,27.27855462538355,25.93908539829113,29.13432040862976,30.212567394758196,35.65224536593315,34.24105588396833,34.42180850556435,38.514438538422496,39.519718549318725,40.946901860141466,40.79973319702664,44.502341836584904,43.899954706575144,40.734224535775766,45.83127332847691,46.386896755897155,43.73278699473664,44.82374246613634,39.889774237055164,43.93378238142538,46.21603111506991,42.50476424671021,41.60792279154653,45.95845240440351,47.492025047934696,42.74769180502413,42.27192955894115,39.38354234546554,42.35075266222893,40.9383267500133,36.635940107311434,34.253309863113294,30.157658208821218,28.745596894498348,25.04570394041104,25.582714515918486,27.799865646974013,28.087141858228005,32.19923576478736,29.854885964133565,35.46171487519302,34.89921068430778,36.24965739983438,35.94104482492399,37.864411388216226,35.41337263106165,36.4791145135478,32.77504768051835,35.1016085768589,33.31254906982736,30.60663880471198,32.620974127529934,31.22221930808666,31.684935769277082,32.49713191263057,30.49091559516541,32.87461557241833,28.825745680425765,25.846363603893998,21.47159803563813,20.942166630286444,17.128082258987245,18.566005125420517,15.635841008422405,15.801550523200179,19.71981892792571,19.35451095170063,22.881347523102644,22.063650313578087,27.194940355161027,23.89468694942153,26.820567285483644,28.162040936999357,24.923376086894127,22.411556983309193,18.889167777180607,18.884901647917644,14.676249521406382,17.634562166442276,16.75264102080579,19.52535271974475,21.89514122864652,25.30072682081887,27.66742534942244,23.532914011075032,22.05998062826003,18.65958079754694,19.665814046735413,16.86703775295314,13.981498007896318,18.231159044042652,16.54222629177396,20.030360997559917,22.724181848046435,25.975305732150748,28.190404540567467,31.36351978669772,33.06280435787904,31.418866805371263,30.00622397496392,26.130109263128897,27.335831079988598,25.522055832113306,24.707189483269385,25.527876404764356,29.436383199586636,32.552989296905324,29.403042686681218,26.798022423097954,28.42816349502921,24.77286282343461,22.64064031643842,19.58317739334388,18.545351985871918,14.097362811145523,14.514471738976916,10.436081932270163,13.507124988002094,11.073704102319352,12.097056423906851,14.387275673807121,14.184931274867125,16.509047529969266,18.167053948771,20.395520756962867,23.374173639457766,25.122935202256716,27.080837484740865,30.023487775091436,32.76533290142812,33.270609704261936,34.99870376254761,38.44827670882486,36.46076722397007,33.144041190571876,31.75009558589689,29.016019439653277,29.85175966914685,29.040822087725854,28.063619168826147,27.100334208722366,24.540678490894475,28.841945202576543,30.723146676409517,31.628202461352572,32.8117495185251,28.435402613050346,34.019193852798765,37.32853025943584,35.24827656168781,37.53411339871275,36.123751229260854,41.38240265953404,41.17513547183152,42.38687656984065,43.055075513720695,39.864174216195586,39.9341101783205,37.66651037948374,37.51960483729538,37.925219787953594,34.08254094464161,33.805873335065726,31.580931471202334,28.216889644745848,31.38088636770522,28.3414540929482,25.0519948422297,28.03036770265099,29.594016834650525,24.900344813100652,24.827030657424892,28.137702086513187,27.712519860761656,22.773351011406824,25.17496573907094,27.408878858421232,23.43798853825093,22.576160945573708,27.20896252321154,27.902632250499487,31.630693565683526,33.5795463171438,32.49482673259841,34.95364464217971,39.55480069037705,43.17504920789437,44.32676053219717,43.03249606270183,41.7833942250976,43.44034445499966,40.27980524347337,44.73865649561914,44.801044756833555,38.76293127615645,40.635960907993464,44.979987865092625,41.718698725480166,39.025748521580354,42.228644584721174,43.48018467899193,39.54191892490293,37.777889745567414,34.34558045751022,34.55176618081146,37.26233928172775,35.92098474215225,36.29644066272762,37.72212095219318,34.21889138552528,32.23991672646115,33.772270830016105,32.13674547116974,27.915031282987023,29.01151285438582,29.830759496808078,27.080173354024474,25.960265743565913,30.800766297970913,29.976292056292188,25.789537952468212,29.130081441382018,32.97701674788378,32.93705911225003,35.29101542051337,34.04779313831712,38.25872737257659,37.6352138791609,32.56834659636517,35.87682308831025,38.42245309077364,35.722362569767725,34.29715579742257,40.29441675848761,40.12916958953393,35.2969529155753,37.216354204050845,42.216513814880685,41.16635905174871,37.541303702684594,33.16731169489294,37.80792059055911,34.20636247324585,34.06969478672502,28.80232339233026,27.313041026768296,22.52619283829509,24.027568451772417,25.774745756219392,29.359177581977605,29.21503456251594,29.692564305399568,24.540927683151565,25.939146509564004,21.782876383253218,19.135072094894717,19.543483000185752,19.3555953201533,15.503454531906886,15.44594728868744,16.037260344606334,13.197704676930107,10.56725901352967,11.423359752583794,10.191555436807063,8.188027493505443,9.185684995001694,10.532172231660772,12.982596817527947],[14.752368043377432,13.97591447214207,14.111511041036536,12.761841545245963,13.664743567818014,7.3664402454620435,8.069488106770399,6.944146652000498,6.485049577355274,11.237537578291075,12.508066874491767,12.280980971703865,15.126128916051178,15.690649670845046,18.944031097876326,19.82807427129451,20.777737378897992,25.320216877492193,29.484949710925623,30.810124777360024,34.83975845490374,38.15693679425282,39.949596502395266,40.13563101499421,36.68816054696713,32.94484691120306,30.132378520419998,25.894005023946264,24.812300098154576,22.45877926344775,25.338383937064364,23.018974155816668,25.681832633575546,30.192803185901155,28.55926696872994,28.317596618922263,26.335872308011574,29.310931855564625,29.93834278999287,35.024132359831874,33.69955435260202,34.56632004144078,38.57961021663428,39.26427439131869,40.65489347191595,40.11452310456401,43.81331471660656,43.41674046366159,39.88714782744066,44.75695291033869,45.4346341129176,42.84017384176166,44.21759536530332,39.28766749664496,43.46011891737486,46.023261434705816,42.48504449993237,41.73237764729186,46.20989814831941,47.71636307841236,43.29544320072728,43.30786222170037,40.716495757524264,43.765097486597625,41.97297830954369,37.640568622478234,35.75684835137582,31.802313744017514,30.662972003837563,27.34480550107186,27.899246134905564,30.53744577240534,30.7836573900576,34.53791954509684,32.0584184190009,37.71795748764798,36.521071401327575,38.00321299604128,37.175601146224935,38.63289388511439,35.77509148963356,36.250368954899145,32.316883615025716,34.12137061028283,32.33946546179619,30.170983855275317,32.78174041425853,31.609889312457714,32.65189950542926,33.955775652974786,32.36604036581078,35.26745237461424,31.366967956288995,28.35706990490564,23.90407878466647,24.00788841573187,20.12871002912596,20.740674136120774,17.363249950456794,17.000129637441848,20.35766255911877,18.669694732268205,22.321447818843176,20.334182658059827,25.013889412264245,21.1576452439128,23.61910564466609,24.64636369183825,21.094043153344625,18.91572240943024,15.135646756058224,16.05833727821123,12.351108911584111,15.867671499351387,16.354155280499697,19.018017720296996,22.031911303217917,25.233942887042314,28.451984858479552,24.63017712620843,23.15948416602598,19.5910667144585,19.782018111755086,16.50150904176156,12.894871156349542,16.091731730709647,13.113393176864461,16.899110349415793,19.260706798078438,22.81348699417938,24.59337242447162,27.689020615273698,29.759582093148886,28.36878242569652,27.042496068603445,23.448531291217407,24.227818616966,23.195134987135447,22.971741920306805,23.962460474647777,28.331581529084907,31.811579851540117,29.046499109084138,26.083332817267245,27.772944869341924,24.43443571199597,21.983553343673353,18.868406980953793,17.11796000262307,12.776002035637637,12.265503163294207,9.210527896694328,12.197303211811459,10.953157058406434,12.962649291073602,14.400995922734744,14.164409755291858,15.270426803330555,17.66115369751607,18.522938406721686,21.600129446776435,24.23355590998266,25.78388420108343,28.88426987919576,31.069650744706035,31.463477270765726,32.68462944556834,36.10486234850573,33.75285997124657,30.70908838667112,29.145520758872195,26.847709094560702,27.782171335455434,27.15731905561004,26.56937581326165,25.619257736670566,23.813592600975305,27.91837514476527,29.594258532690283,30.056533116749435,30.982320310500786,26.102753886222228,31.46394444143797,34.76086690028835,32.869388771501015,35.76427737783603,34.878013654184215,39.90547424728592,39.72381632200965,40.48440963743633,40.82306895081633,37.54064749752979,37.17390537175283,34.654350623485854,34.22278780095731,34.31787833816087,30.443024435520627,29.870753222563476,27.390220684871334,24.042127122780897,26.94811949798362,23.961876784132972,20.653272712910784,23.455691914391608,24.97326620010881,20.279433882657067,20.200333454648895,23.461114368687515,23.12631084630541,18.158005765561743,20.62805421888381,22.93577432359296,19.098817425132093,18.33105369398117,23.012103201957856,23.55022137299516,27.270243990540525,29.142918198061906,27.90321229769968,30.37129354477465,34.90868105896542,38.59753880932869,39.674997391104235,38.4042349402763,37.157366825160466,38.890745219416736,35.83497160882847,40.2937747774159,40.224799131727345,34.20319698440711,36.21892761678462,40.51128202888846,37.19861430704461,34.61439630986026,37.95914030056609,39.10917682370248,35.15381099086446,33.66793268276125,29.976975223046995,30.41378272093621,33.033588823008145,31.55688971967525,32.16560278518068,33.6304579857006,30.34405654768023,28.07894196046903,29.509448035794957,28.186099459725636,23.828701740791157,24.620469534962403,25.668574866321116,23.04357494519142,21.59482032776485,26.489656624553067,25.933312874952954,21.738047598216777,24.824846867913745,28.70374899537302,28.46453354314843,30.802178911656842,29.54265092854154,33.70744334774574,33.03547850763254,27.911720601407623,31.244104937506467,33.74603924524472,31.04567638778355,29.651570891343965,35.64503109004633,35.492212002705614,30.71306441912163,32.68409389693866,37.648011336161375,36.653497633694656,33.09962468330648,28.79887533833148,33.562263851258045,30.155341804884575,29.833596304305157,24.659587059708198,22.865381518730445,18.102589391297833,19.99521583330858,21.611407944516763,25.290856853465165,25.077985832982375,25.269056880522527,20.225082699762847,21.725775702232422,17.82776622022603,14.615343874553039,15.049416681777291,14.806689847022747,11.405759107214164,10.973658144855529,11.376459504402579,8.78385697806105,6.113217733606485,7.306698590936202,6.726787652332447,5.948876022894088,7.433220343386791,9.703541037217294,12.081194746687206],[14.644133387473731,13.234339711521448,13.506121284089623,10.400216037444808,11.439138434695593,5.207008651463885,5.484953584031431,6.4905097411084824,5.325355008850396,9.384023522625045,11.503825695627281,12.464309559096112,14.013069946802842,13.942426362213157,17.946171621795514,18.95359059592761,19.069934603352664,23.69720700076027,27.40031830622826,28.9841608296821,32.854403096545674,36.25133807869208,37.816428988510246,37.73206812607203,34.381607938479235,30.564873583013974,27.908605847985616,23.724868787516687,23.199031767620095,21.435196332941423,24.602657014177492,22.822487318628504,25.897968315252164,30.11947400642969,28.184034669400162,27.371837363043223,25.698560559182827,27.918881983018277,28.24890687429333,33.576423069265445,31.671191413917743,32.64905810039184,36.7979118617944,37.17931576477817,38.28596484676874,37.62511339246493,41.28679286084989,41.166485654257315,37.7177863148906,42.55160647188239,43.52035264837253,41.06299868636612,42.64436141503429,37.728574558011736,42.28250328653004,44.653203024262375,41.02234264018881,40.61925030963358,45.1311541646979,46.276886786696004,41.81352622968665,42.07447941628191,39.66024016980287,42.36251622415622,40.37884075181791,36.17925584345229,34.04044579096051,30.32400592016617,28.81454684290414,25.794596897584356,26.007205249350065,28.73254494663692,29.366089745635843,32.984717590275174,30.9116896000527,36.83079232410253,35.507550101047165,37.421409123669896,36.475715426281155,37.75868082391409,35.14788900226737,35.369957603625494,31.844406222353538,33.346774965644336,31.13049290525396,29.196160684169545,31.631535265418723,31.03758784399332,31.67106972594629,33.586111491745456,31.74691347538901,34.76949924044421,30.993267490377583,28.295110719203088,23.65022084240701,23.98982009595053,19.840488071996507,21.065532383262315,17.918337203887827,18.604754150845416,21.000288596864028,19.724997400106915,22.54985273999569,20.685216891069555,24.92065837054212,20.81240712588195,23.61313827617793,24.139708789133522,20.46036491372829,18.77012364551321,14.491694165614899,14.809047441667134,10.717624915457558,13.536346540653934,13.971604376934149,16.148603272046742,19.437212933638254,22.286979072963742,25.829116972235532,22.354675944811238,20.54376456165565,16.959564351786643,16.583004961984606,13.321349923073123,9.742465977917082,13.191619119369175,11.02141898768994,14.942785013982482,17.734805285246455,21.64023199925208,22.98643513095764,26.532775846057554,28.226033576762852,27.275885902373744,25.23844827824586,21.40783687540597,21.829008169799014,20.37612481871761,19.835875956371435,21.200615375034516,25.221063324877782,28.899623263054703,26.34078043774218,23.456549919469865,25.496564782544837,22.506169838289306,19.816357664637202,17.212454902458756,15.853782852666468,11.769651596559298,12.388446791754607,10.29168511133708,14.258829002999962,13.978063093216981,15.217809724602724,15.980510291344014,14.757070911834383,15.794179505070595,17.395451276958628,17.984971700026854,20.100483074773816,22.777201449446835,23.609782810683008,27.11097800822538,28.97334196247103,28.875415295899693,30.376794938374285,33.577336567760284,31.230773085660683,27.99914291519664,26.721983133555362,24.401427917387213,25.861364924792653,25.652048212696858,25.43126180598931,25.05864247414047,23.240682469895646,27.81250135553091,28.85681313497345,29.489827749622464,29.783895132814724,25.170038638451306,30.349991588450607,33.454784422249766,31.284265149293585,34.13401555555694,33.134641550920804,38.060533529914565,37.42254355865194,38.416351180918255,38.710812528715564,35.610883091974536,35.22943059183797,32.767652288751506,32.463347949153324,32.59125112106397,28.53549554447229,28.408801695236342,26.02146140524413,23.062522851516416,26.36587561623986,23.857438060547025,20.168489218928457,22.810931924142853,24.960723545441216,20.51169042860797,19.594985401625102,23.377784401613553,23.88430168064255,18.678254490042537,20.901868673462197,23.71939083920464,20.344058448873795,19.00560574458054,23.66066981910776,23.68420214150585,27.89610819704408,28.76240865086234,27.77223025379433,30.65048575690577,35.000569670223676,38.954009684058754,39.84806620584619,38.78640942588441,37.317052576946246,39.08319186785515,35.978978267386545,40.192722444875436,40.02252211640646,33.826022605234165,35.77952112317223,39.82811911008437,36.35801045064497,33.67026317546582,36.8609205171476,37.805276967455676,33.79122546972549,32.09966078324585,28.819483808445987,29.56117692416289,32.457362371118265,31.473730267801905,32.349189266166086,34.31377067240331,30.958450678565796,28.312218609134852,30.291219762111673,29.340176655584088,24.68669539196739,25.433135156367634,27.106899994073924,24.747961426892257,22.909876587926526,27.901039199801275,27.809341153507997,23.67567958345669,26.28364646723692,30.196684145113483,29.524735055995983,31.77834169649404,30.276506470329938,34.24379644111835,33.63378325947451,28.224744954628537,31.309071377150687,33.723165170851836,30.948743734447987,29.129641846450948,35.14919974084195,34.9226080559649,29.876115222116763,31.6055785371073,36.67260632125409,35.60996831040595,31.873319392443754,27.52003171018685,32.18059956162515,28.647047031784254,28.91490865449015,23.54384693088244,22.072241012280646,17.49380751081907,18.64204359974324,20.036098599714542,23.51360124909086,23.195239401645342,23.894368656410833,18.682626475403108,20.335444690507185,16.114291987166208,13.688037930562311,14.999436078271694,15.601911586245155,12.397522572295179,10.752068691310091,11.818956224887986,10.555543502786803,6.40951935896362,8.128056542938332,9.360065355681227,9.36689297391776,10.764432788950215,13.011102425618104,15.285898974833508],[16.238230672486342,14.246045597321503,14.525813410714912,9.549766026301171,10.237400605404458,5.601944728599867,4.375494136903467,7.627839515817189,6.051612603231209,8.053637066585459,11.029860020468739,13.156310694895492,13.075997272158475,12.303928536764412,16.96900790731302,18.026073874013015,17.149540218252536,21.7520204714263,24.865627644436245,26.698925960578535,30.351673311683285,33.79847322619361,35.11070474518179,34.74015774028016,31.513406854397907,27.64924367417092,25.192521791099878,21.13120148836227,21.257479993378098,20.221052582698253,23.655044306752025,22.497671706242844,25.955460180002884,29.773627186047182,27.529236972824037,26.09824443612696,24.806221146524038,26.136884650931805,26.14056028048994,31.688797858341616,29.15580611470554,30.220472448033473,34.482970055388805,34.54417496148785,35.34238777385699,34.58189422502512,38.18612741608906,38.3421454859041,35.02476625636734,39.81491440885077,41.07483845481085,38.77062280155742,40.5408146175366,35.676369242289695,40.60603022040772,42.73357887816857,39.02053816299213,39.00163070563072,43.510843758971845,44.26037226502304,39.77538595966414,40.30369386133878,38.1062622558407,40.41528633265535,38.23307761246239,34.21224083137941,31.834595098060163,28.42969907147025,26.560788536048808,23.95457509607782,23.801657332855246,26.634774637868283,27.647054088788988,31.026767947742943,29.40480149135702,35.52866598854463,34.05027716259849,36.41685735895992,35.3398723155068,36.416187577594044,34.110343899975106,34.07005348669069,31.05189315631334,32.23281486866876,29.561767191980834,27.884494994127362,30.064888146332457,30.11673460853194,30.284756077460425,32.852533035470984,30.78105158112984,33.92128689081288,30.346843697928964,28.034938532141222,23.290806409696042,23.931700773321715,19.632754711611987,21.39995380322346,18.608396236734965,20.330860499048704,21.641797506852402,20.881241191466856,22.72953645824368,21.142364371155118,24.825163374876947,20.639390784316166,23.81191621167993,23.852433774654138,20.233698024646188,19.04105278734953,14.528486132175944,13.918426260426461,9.62958072765074,11.202004138256585,11.429563652302537,12.892026725148758,16.43159662530749,18.833640153646975,22.70739508633351,19.688371284111646,17.53472415985855,14.012363391001033,12.928084795050209,9.73404781757356,6.359274543092669,10.193016480349122,9.635477747699419,13.290100341067445,16.531754171486224,20.607386529446384,21.565010022886792,25.535672076753166,26.688571389303423,26.173848850686845,23.37613891410689,19.299236032325137,19.4348655310752,17.336249062330165,16.336112906898993,18.074226940720823,21.625825439100915,25.460282209705586,23.119680383297432,20.372412557708344,22.78153287334104,20.229697877633548,17.336452695803,15.44812718386027,14.683198417856781,11.215441116104952,13.114977034917647,12.076679052614539,16.657568987261527,17.22465452619065,17.70980891954162,17.791113427824612,15.650105695987618,16.604381313877784,17.22969076492772,17.589561463790666,18.507290108034873,21.075228141027527,21.091895181194666,24.978998379041222,26.511715587394683,25.89567172955669,27.764720429752572,30.716670587157342,28.47375152122047,25.01427463720747,24.085518746971346,21.68058773766365,23.68985581392144,23.92785654965704,24.08312383316045,24.36658714930058,22.52342737998079,27.521241392040913,27.860202440867937,28.712164461308046,28.327874175459936,24.161039113781104,29.081820699867123,31.938752457552628,29.457351285857147,32.1409675103829,30.972056609942744,35.76841647754665,34.642898698292804,35.93388848026891,36.2304157309515,33.35875652727265,33.046226581080795,30.725168611989606,30.630817677592283,30.88625132815413,26.71347551276503,27.152688464794135,25.031279449516994,22.522771075918403,26.286952208394176,24.303999183756748,20.346237759371565,22.88348476431431,25.647169489103838,21.582596581186277,19.971845832222343,24.19682803530424,25.472193199329983,20.300709631600004,22.293007695570076,25.514245656030546,22.64063051336573,20.94005023246398,25.45749274907395,24.953129652280676,29.528740304425472,29.35345370091977,28.559362543245015,31.798461801785148,35.83991055210062,40.062072267846546,40.68486642431665,39.763505170263215,38.01569510910009,39.72478326599028,36.52620281205793,40.4311106393708,40.244323625838845,33.92037975972418,35.68830976202439,39.47691726060861,35.9347702262755,33.0955886259679,36.0138875734195,36.83009403732324,32.83370769511908,30.773781404606783,28.089739221198563,28.993818991947805,32.17286640987609,31.78804956232125,32.84008260732303,35.318251804388204,31.852882040240033,28.929154464648732,31.525948993112888,30.880051968929397,26.02301124873987,26.847935074356272,29.099985390530442,27.025775805672332,24.959969421789456,29.979513620132305,30.323501143817744,26.36599108036389,28.559018689272772,32.43013932724877,31.355415393878562,33.41577599879413,31.61204335484666,35.33824446048745,34.90924183506879,29.289591607171793,31.978300137499637,34.35489415198047,31.5970433314983,29.273011825635855,35.22817948168973,35.03426657028961,29.773014671241757,31.09749276574191,36.259309283410715,35.22694740891557,31.344878244459373,27.053964065537777,31.567524582832863,28.006452903169954,28.960398681295604,23.50097352365966,22.33570839991128,18.1632890398374,18.499593655094614,19.468016706458556,22.58558769073065,22.030262809430546,23.23670596443227,17.905663262758214,19.501048732635148,14.999519799654617,13.95583954884481,15.926691262275618,17.395313842751765,14.32682152409597,11.863393723511338,13.727327291851502,13.535519900067738,8.667137400719538,10.946178119642026,13.070981185825183,13.310253960852702,14.509894619280358,16.708126044773476,18.922370280950744],[12.426705127716321,10.204311477073832,11.172008050062963,5.3499923136348615,8.958523231725467,5.728911086260813,7.775313411375605,11.64465767988259,10.9681149992662,13.175056277274328,16.073527425396406,18.217012704984093,18.208470528086444,17.139879891566775,21.981508412117577,23.1337778081128,21.89482512087146,26.419979176742114,29.03598519512025,31.0401641202529,34.48290428176726,37.88248218044939,38.96873296877579,38.22183979244174,35.130188380220616,31.328622369107396,29.03074280580624,25.20734077677972,25.871244134950707,25.145080803407286,28.722301813372674,27.644211679129775,31.145622966797227,34.94213078184542,32.61032467136579,31.010911366196346,29.687872703703956,30.616447152844678,30.244719537155262,35.641390063426684,32.75529702094268,34.21064175246029,38.47295814938639,38.11154286390579,38.555470131814715,37.43074606025453,40.90889818668117,41.53471934374254,38.15159510465634,42.64385177782438,44.27761503973702,42.18326193662713,44.264820962973744,39.491062347488345,44.664182906182994,46.792347964058436,43.13214395912481,43.38903848750908,47.924341541934176,48.43118579650347,44.0817391289966,44.890141438470124,42.86225951395227,44.93951933912012,42.590738780489524,38.718088164439266,36.220647490774695,33.060357019854365,30.870711023836183,28.497564997663215,27.984268978264694,30.640337430262115,32.10617848414694,35.451763325843565,34.19034323399911,40.39517204587575,38.89268288266256,41.43163260708895,40.26887363886516,41.16823959593339,38.85723163097448,38.48463971105852,35.53422335373551,36.302474026582075,33.49235392585314,32.268043730830776,34.58636614790464,34.935270119574106,35.108750250634955,37.92992578433714,35.82430855758969,38.95026462267089,35.40692377186253,33.169243162079965,28.417216975555615,28.932547025159923,24.603406748657765,26.563014074802595,23.72218260237374,25.07606923518269,26.636395165001876,25.3447571166455,27.358432709271437,25.11777893123901,28.312960135764268,23.66415242486256,26.2360909290995,25.650267059914476,21.55688544970922,21.219310186913198,16.35697622872795,16.836390306836,13.336468222972815,14.661037775174318,15.717927133840046,16.318416451117972,20.21277097076451,21.8106233372115,26.221488994759703,23.813161168480352,21.266004772420338,17.955473569086926,15.791301663828806,12.974318299146429,10.041163557580276,12.42244023198587,11.077610907764466,15.121223608232135,18.002148381295513,22.686917642775274,22.382607860648854,26.551889226008086,27.979949382775,28.259153150477395,25.03949959753716,21.293383685811307,20.071318026331657,18.6526965764671,17.79083794514278,20.439005137572067,23.49519962176526,27.85654430919159,26.18883482733537,23.498035056240116,26.275405726566834,24.332777904929106,21.22183153256982,19.80735896887508,18.85062274391927,15.75408983405068,17.006332959021474,16.35114395195725,20.44659119334058,20.63077869237569,21.96505804064811,22.3029101155124,20.48590456736798,20.97160810801737,21.98377188312727,21.50211879770171,22.057960251753514,25.173317548436334,24.336924720174522,28.552466794032313,29.27249987992862,27.909847891332568,29.53932381508539,32.01389554845659,29.28180131738418,26.006038265515308,25.397574062651202,23.67618749378774,26.368111820160554,27.136156555261838,27.832943198720407,28.336576432229098,27.00445915454781,31.872923236584207,31.934621628205807,32.51023366133779,31.64677014527658,27.26497912454421,31.697632648988638,34.33992170132169,31.917283421934542,35.118738083268354,34.318503368523,38.735519586319214,37.16302486400542,38.27717577186093,38.15349200048451,35.44380043580589,34.554411573006526,31.979586481407004,31.55901768710537,31.224681793755785,26.781107622150213,27.161306300200735,24.42840572493827,22.613129925007055,25.807185164375287,24.40517962145953,20.301282254762988,21.68994306835083,24.699301148719496,20.878050853727963,18.000273924219588,22.266063770336295,24.334662192388663,18.614172091039656,19.85109744408625,23.36153350744748,20.970919246864202,18.296180336378367,22.498124425044132,21.769444355800644,26.732879806035058,25.92037530432983,25.774349057995703,29.253859661560554,33.43912386689396,37.52705940427281,38.45712205627857,38.17346139988207,36.7067719884932,38.850204016998916,36.14488449732597,39.919728387561456,39.140188357836145,32.88353017484169,35.17435905611549,38.50043226991099,34.53744430911143,32.12342642967404,35.31933457759569,35.33473435780571,31.1211952157714,29.961666526163995,27.05501470139854,29.127389837734054,32.21189475228283,31.716478921068838,33.43620704615874,35.94493838814106,33.034853938504135,29.565900298671824,31.78157546713844,31.799325533247853,26.915017217930643,26.848612618335846,29.30676405469388,27.427079742548134,24.666005168512765,29.42218245827004,30.00348761122732,25.837604108697754,27.32804108388202,31.232335300552393,29.911905052147706,32.350239716212826,30.944577330307624,34.42890901450308,33.38127999298059,27.73981141732099,30.76865857965023,32.5244506208793,29.457023894010774,27.452912015951583,33.328926790214275,32.449726496943974,27.12049961642088,28.947362287224596,33.81069111108904,32.20727909986354,28.22524727115371,23.69596610452527,27.813699507343543,23.887715849735585,25.005988437659315,19.47430148508588,19.090713192131158,15.071153444304123,14.459139929137175,15.878452319519779,18.86636608553707,18.96965581930747,20.89238889763556,16.254946336870535,18.94066434685333,15.012091786717281,12.774971823181861,16.11959646384219,17.35765049559973,15.968814238198739,12.451847769087767,12.790189345853035,13.792676043382293,10.254517257055342,9.737265945976938,13.157043765959315,14.683292817656676,16.57194743048656,18.784451415537262,20.657288029318533],[17.534884650555355,15.043091302461077,15.870428313068507,8.948337183747462,11.045209119694691,10.620222318069994,10.698549263057634,15.143765185788546,13.968786448252295,14.04827550956997,17.21298653180753,20.35816311934953,18.735625374985702,16.782779759509516,21.92415550825409,23.146321665188317,20.709071438447296,24.790426725495642,26.28757009794847,28.691427974275555,31.603165031548016,35.02990551758441,35.620790112844325,34.414258144209036,31.68199308764269,27.898724499027807,26.133807183401537,22.7515942767256,24.391516096558977,24.767169166026612,28.336349274705835,28.22062687862318,32.001091559395235,35.15995617220305,32.56643077340626,30.191216476280644,29.541293218635484,29.18365277086439,28.37617878104506,33.95173000359997,30.130924236986836,31.595187507874144,35.921477140336954,35.06905853937949,34.955500690920644,33.712434510906974,37.00913240971965,38.101464886190314,35.07133994610307,39.39611101032036,41.48614896882514,39.69784808786072,42.0051549395258,37.42643267850318,43.05200976009915,44.72344102642515,40.98193175110412,41.81266746333468,46.237008283273674,46.118103441247015,41.77216089093764,42.91154935483335,41.21602895924435,42.62238050422347,40.06711796550245,36.58613939279629,33.6958025302278,31.13050261620563,28.390819127260258,26.738541576247403,25.632404481607903,28.233399015756095,30.290863904134202,33.20200274895752,32.72281005167986,39.039846784879956,37.44724650543001,40.569653516025106,39.32076685467091,39.96276100567466,38.20999239199006,37.54728965044469,35.43426407328897,35.79425644618978,32.407686514959536,31.53978288820394,33.321560306114065,34.55986654652828,33.98139486242252,37.58122807648538,35.14835526404306,38.27651198376019,35.09317569447717,33.453050890207656,28.756006217057955,29.553430731137425,25.244104391922114,27.86889326203939,25.596528266211887,28.083311317440096,28.47481925543519,27.965874989775017,28.789427834078413,27.12518180479205,29.6062125824532,25.14802368045738,28.15118355682964,27.023622489803003,23.284870348146423,23.505666211718804,18.781010709087273,17.97623947905029,14.720835408203675,14.090541729651285,14.583012919239536,13.668077508703895,17.459116737004578,17.91453082812252,22.597680951179264,21.195143872220303,18.188392390901047,15.45609885397831,12.051808236405092,10.272390228130295,9.16940600343054,11.000051848769187,12.562304099749504,15.441110143243824,18.63289599792967,23.15236984055969,22.30535207500765,26.90484552821388,27.394554632812635,28.311459074706814,24.05858572787717,20.158140046829523,18.437503999035336,15.908031523380224,14.078537848655007,17.45307449945966,19.14509155652223,23.659630393650495,22.535205556694766,20.34334200322832,23.633395156560432,22.555826332587102,19.41008970939795,19.27154289674885,19.282192287700532,17.238427352991348,19.756350845260233,19.882516821256722,24.50454999206416,25.379987283434374,25.842578864155428,25.579136594704714,22.901021499203548,23.4449934206692,23.252877366867708,22.713606318365557,21.643301953817886,24.286182988545573,22.226162996561406,26.82220224352813,26.994154416547993,24.706510624694886,26.98684332880371,28.881017620849303,26.43150262947072,22.837688416333595,22.98454704741867,21.235286385776085,24.759793146196312,26.193396242364745,27.37412501830271,28.75874750686943,27.355903608839657,32.61727177178909,31.75522354416668,32.67352779364189,30.9012050236426,27.411995595568442,31.309388310107565,33.48532895343151,30.636814776572898,33.40238828203065,32.30064640792079,36.39226381416176,34.0081682126354,35.65698104531679,35.55741366549749,33.33131087774092,32.6102855926141,30.370826960491474,30.330528756165798,30.232902328191024,25.76574561030599,27.097378432262015,24.9371454629575,23.912360920470253,27.64581636499592,26.992697753801774,22.768951075427903,24.00089628179272,27.689919171936385,24.522035178497745,21.034547002805837,25.62422227686883,28.504215284220177,23.15050188160587,24.112216637429114,27.917574234066805,26.1323928147278,23.285464520076665,27.138357205590072,25.800464663566636,31.00369514705864,28.821766555670486,28.961319725164135,32.80076183119601,36.43280815977192,40.79875908621354,41.323626951260756,41.21382987147267,39.37023556149507,41.359940110584404,38.540077286621596,41.80373212289721,41.05211708813335,34.75311207702975,36.6775578579283,39.55180724794225,35.58477577591317,32.99140456060871,35.65166061517548,35.46675163916422,31.401874667449253,29.666904558226612,27.862987949432743,30.06889284297657,33.477592458968765,33.8711656232972,35.72606880476417,38.860946800367586,35.800286909924246,32.1294732491314,35.13000333812329,35.431891227324556,30.426736241249152,30.583772734050864,33.63174664422252,32.074960648659676,29.24437400010482,33.95390723558091,34.98052667805309,31.108341166433455,32.218979346098,35.98681834613113,34.24111719411571,36.34447285379888,34.547917606514815,37.657495628094985,36.92536948590437,31.166094147355444,33.53561626536203,35.22456102711908,32.28830697784495,29.611802880764476,35.196692512409896,34.40395837743683,28.929145538425118,30.04260617123495,34.9017932447686,33.38014875351538,29.288532323705972,25.053648685068705,28.70234447808878,24.86168216370408,27.091861041695154,21.744814311313533,21.902557316208792,18.807867133899126,17.041721178481378,17.62674177080267,19.68558824480288,19.416666702288087,22.139841838965545,17.718173590631928,20.06809464907312,16.124869467493422,16.16679879330376,19.787437892025174,21.90260883062129,20.359631703516087,16.585950902575682,17.91975936213136,19.449602999610125,15.2160820003304,15.845910855957856,19.27250063826443,20.47782123849916,22.057211351036685,24.20966946229956,26.133776629360582],[14.50390614515225,12.425869143114697,14.125507003416402,7.826059637929997,12.333251308987034,11.423800222323914,13.044151429988336,17.27994154747575,16.0771003964163,17.165859388900046,20.004959020126474,22.90527560898351,22.22650926499288,20.193646722771796,25.30056526906031,26.766176022442398,24.776216322231328,28.92114839459466,30.582683103696183,33.11447478314035,36.04235732464765,39.56230730797234,40.114435248806394,38.9120501310587,36.24811729154352,32.41348983331121,30.70391144121223,27.248637701743174,28.678680803318123,28.770602996325042,32.06209344836988,31.82101864191517,35.389778222436284,38.81763481837998,36.44093917080602,34.306678810783914,33.55719194992772,33.57385089777676,32.869696947738376,38.41407914220964,34.709341584545854,36.17070532836358,40.50408312289039,39.67311355337992,39.53344747949139,38.23628105549251,41.4889489598111,42.66553050022457,39.612320654048,43.85838539433473,45.99236686910027,44.212283843615225,46.54165613580759,41.943906522802685,47.51576632557094,49.26899968870939,45.527594920652824,46.270866460171945,50.72197322459426,50.68569987425815,46.30537985793538,47.33176924936961,45.51206867313426,46.9802531982493,44.52753838134013,41.00464014358691,37.9784626898166,35.29207317022994,32.419817172332806,30.498906465749506,29.347460570171766,31.667944330353283,33.87429980915129,37.07094326565265,36.610804849499914,42.94798356609115,41.60379268299343,44.58562478476605,43.49118454759779,44.284066785648164,42.434615940735135,41.87283176370418,39.512857169912444,39.96121498999408,36.71688758461109,35.79366788490161,37.69742760307381,38.68517328332026,38.218814781801406,41.5254180319897,39.04093571414789,41.991662326450964,38.62664949616955,36.81082729514199,32.07414268761846,32.49581690170169,28.14311675628675,30.896963292845633,28.44789581125796,30.41589465000744,31.601972025685782,30.77197291332076,32.22921395060524,30.231350410205625,32.94588059891805,28.264034643346218,30.865091100902,29.718441023868348,25.646477709635004,25.97418927038939,21.087356542131346,21.20272113290525,17.97007474288289,18.095806552201218,18.770051032074498,18.187768523051332,21.949337855464663,22.463309465341165,26.983362397745914,25.457099113122524,22.366836922683255,19.581900729558143,16.457396235903737,14.68083435626251,13.139277121989316,15.046552986218916,15.221653908261942,18.669329042486186,21.555765829719974,26.352724516988452,25.120509104611685,29.616402642034213,30.571894465232305,31.639866261281288,27.579673430901718,23.914493440400324,21.72650465221093,19.906188795700928,18.392249571621736,21.879027644590007,23.554265145015265,28.14917893064767,27.129839080839538,24.939174644810787,28.205731344025107,27.00833954919699,23.854948569819463,23.389917100716815,23.05320172955131,20.539005814284483,22.409740583892304,22.022989833197688,26.308186648314113,26.427104064508576,27.561353646920022,27.881437166275827,25.717103196150923,26.312653982148024,26.71602652438051,26.154000577285128,25.647066913674244,28.539802166870132,26.661373658939954,31.229971443365937,31.31027543226719,28.962847616055278,30.97425706765958,32.73654823456838,29.988626417669316,26.6234289420987,26.761815391825692,25.357023212738174,28.887211166644718,30.287220632080626,31.44901076621052,32.5649203346669,31.240519223814086,36.36459820705106,35.80657784512665,36.55014491910829,34.95983098617951,31.096988276250652,35.0043297489,37.23881369682979,34.55754052801764,37.63286531115989,36.71884544859641,40.759809598170925,38.37956319565923,39.850941444165116,39.559525319759665,37.305105527363025,36.26563569721013,33.818221859492695,33.48752841047614,32.96792519814004,28.390718729342492,29.36512593691447,26.642623912093992,25.790100264206604,28.89620336295492,28.300822263369895,24.119166469681566,24.649270810481106,28.14268386376332,24.906690452525172,20.902383191124216,25.231625238945263,28.239585070239148,22.450925706240756,22.901368392557732,26.661449364032826,24.950194648245706,21.476871720866406,25.073125537713004,23.912229098072295,29.222327991543686,27.121440148673205,27.803302901816476,31.614324555879453,35.578342600931336,39.62165487755735,40.61726388828993,40.967061233675615,39.534121588111155,41.89517540501887,39.494487493254475,42.857064313197945,41.67139276475411,35.505169317108354,37.92475335667881,40.61048305461934,36.364028528350765,34.18901735686734,37.20694415054799,36.47863046494249,32.24056029830838,31.412558223945155,29.108143422379047,32.02155053681112,35.212472655914034,35.17419229807453,37.35650739322782,40.20284090692547,37.533671917226606,33.69138012792993,36.07782887291703,36.60131818596592,31.686916912140795,31.240614881343664,34.05186680542104,32.43147552329486,29.28955265850414,33.781707368880134,34.669010243976665,30.52734855371121,31.38830978809195,35.1982047200045,33.54832170766736,36.08518796649101,34.793222942724164,37.87816032170394,36.53927716860067,30.91254171194489,33.8005424274149,35.00987719391364,31.80337686420045,29.72045790928212,35.267271081550554,33.84798495037831,28.456743426779525,30.25858501081842,34.78058563838943,32.70044956895518,28.605376523840793,24.10715087012726,27.370882408400973,23.107794990679697,25.141946690153386,19.79029544069688,20.662213176657968,17.50137837824911,15.190678554629615,16.55382576456582,18.625764476093504,19.215546435134744,22.308926337571265,18.54788786046548,21.69365673649924,18.213240784289386,16.680396656878493,20.793577253423088,22.280361122252938,21.56200443930081,17.63105812967212,17.638804080302876,19.306900610986943,16.115927772502463,14.792848741809825,18.453348933646417,20.216928022215228,22.277796427031713,24.32970088534283,26.067375949180526],[15.85108479983961,14.009798421761797,15.983811761995018,10.284919208410736,14.987268909685792,14.858013086594074,16.634908284834385,20.927967272644466,19.712311411414177,20.605288819452777,23.377635384405103,26.437662759070644,25.618627210052626,23.322446924587187,28.44894807091409,30.00914444512515,27.77160287383008,31.72650185700036,32.95086996661729,35.66689533008591,38.33515776007706,41.85302611488408,42.15158960759834,40.70718016343829,38.269965851363914,34.49097597545285,33.05405138980021,29.827952943815454,31.578098970277217,31.971415279748555,35.168138548932234,35.20027765761109,38.7797610284152,42.077718571627884,39.68389255858799,37.36128145461954,36.79475288529055,36.44810281208899,35.570018169659576,41.08192010602872,37.05401866200065,38.579906939827666,42.89775224575313,41.811225181331714,41.37442891466317,39.941082152227004,43.039990371644144,44.52800997902032,41.61550163941254,45.653731233777805,48.04598642557865,46.4496288994459,48.92178857613226,44.441503716188166,50.17312113616253,51.77839287384284,48.03530010621978,49.01295239547811,53.416145688147175,53.12637274330925,48.78960028534574,49.94706658802562,48.24639205738595,49.43583383506403,46.92729021939991,43.58897683126051,40.371634981416186,37.9269083329398,34.78366633844605,33.087815661543054,31.664488362768832,33.78425765616014,36.31885614424851,39.423346900403914,39.324268218229975,45.68003348805202,44.399060167539965,47.552534586397535,46.473016404687094,47.192499168429805,45.509624936528844,44.82236057612171,42.68436094804126,42.94564749621307,39.548893075215425,38.819333986806726,40.59813945089536,41.847605926249074,41.17082469445865,44.67004305896886,42.06002680588604,44.92868605752771,41.64626281638385,39.9913456722888,35.28372506926317,35.6456431067859,31.31338753612177,34.32054185452229,31.982972111269525,34.05501243807641,35.184505873057105,34.39942592341132,35.72835982259825,33.69719450153438,36.170595909281694,31.432943366285645,33.90311801705904,32.473178431763216,28.38319708023737,29.06237171524685,24.19449225697433,24.387559693985217,21.38500940069143,21.196272421764004,21.868729999527627,20.85198355857403,24.499336848165477,24.48114336718047,29.015703621162164,27.94660058309328,24.6840547523012,22.198671996879348,18.73887647983507,17.447864955272188,16.382425902737012,17.890023955615742,18.31658313112775,21.529197901598323,24.260146202949993,29.093547016396442,27.328692768611504,31.8751073636537,32.708815683074135,34.202493499439214,29.842486543720547,26.362375744027016,23.63359616051913,21.901320231608274,20.26174128393319,24.068097698865458,25.0723963700094,29.738800811359244,29.134632472973692,27.187851473603565,30.6215595946864,29.802646749634995,26.655488229767894,26.550900443345594,26.355663666020853,24.0568104659687,25.972593210625515,25.691787466431933,29.943937585532613,29.977134522138094,31.191320493853713,31.55343751522465,29.354308090501025,29.912247597974712,30.21512108610593,29.506675203594927,28.64482552393759,31.528166639837057,29.191068682672938,33.86519834274455,33.5626926560312,30.73420832150545,32.79228305665378,34.13303302784429,31.319021140423338,28.053573005954423,28.547353820277568,27.44678587060476,31.328277518519588,33.01970507661274,34.420289439893764,35.75809477558731,34.53469257561328,39.68905375221239,38.88623208216974,39.62580654822671,37.71490841196942,34.01713566750656,37.61063592716131,39.633087624392104,36.90573870550038,40.01099778964619,39.146047708343396,42.925695031755126,40.16578991339857,41.71481317284094,41.26107484713738,39.24915129655215,38.03396483766306,35.61303309930067,35.24413055944088,34.520966269495844,29.93031107504713,31.088962585031904,28.29069598918234,27.9689137458983,30.835492242061058,30.66559227195106,26.52422341715448,26.48133410369228,30.11059027276943,27.211854314394813,22.660588072898424,26.858656125497877,30.31763515815425,24.537519574164158,24.50284322735328,28.3043307437346,27.002758797769744,23.119508782866408,26.264605465962532,24.914526390610575,30.308540284528814,27.550160919571226,28.753351153370794,32.66984206432105,36.51057774867906,40.430144672854176,41.53045458833789,42.304916011140456,40.979048796098205,43.509913613755266,41.378720441986964,44.515129133285996,43.030507595870596,37.003604625881536,39.57085335184006,41.85167668705681,37.44070035746232,35.51191480668669,38.480858093316044,37.24680781228337,33.01989709211226,32.59251013909788,30.518502032105207,33.97564151199541,37.13045562672347,37.23088600520774,39.7082478636988,42.64877611184436,40.214774656157324,36.16841984533643,38.494735926453075,39.33221793158586,34.45587366971354,33.695697422374735,36.62974991025933,35.15617010189741,31.783838284681593,36.05416278191897,37.087196903841814,32.963504431457366,33.42902268531556,37.1508503863864,35.34810872570551,37.9792331607558,36.8477495773247,39.6839195453407,38.09331210653738,32.56807580872953,35.437619937375665,36.25068987017197,32.96639459392679,30.98980297178419,36.26796876199492,34.45674832178489,29.14634965360767,31.038144603524497,35.23098175636445,32.812458590527086,28.7339857949625,24.31895014323237,26.94264094290635,22.530546205991246,24.986168262079506,19.930391481949776,21.563873047030828,18.968804181656726,15.842521201539032,17.22088586234809,18.681954233338885,19.68563157039439,23.337761196880667,20.28974450089826,23.71068259914687,20.65724392585259,19.168737106253285,23.60010665633034,25.068260493228212,24.846087181660195,20.740630915134346,20.390093652583076,22.37964165957332,19.553480189558773,17.675699740038876,21.45301256917979,23.436789493759225,25.612993599293066,27.59300126262154,29.20353555497352],[17.13599076024253,16.220904237932775,18.89191620883765,14.248571849092267,19.624804390050663,18.67392613607101,20.683124231271943,24.639264659252603,22.85081328164708,23.899414978997903,26.182617342578297,29.311093012624628,29.08406599581897,26.30716256283138,31.307370545604986,33.25741046851805,31.295676755220867,35.07895980909989,36.2304151169938,39.314836864289525,41.829480978871324,45.590418323171306,45.678736876197966,44.27628424158438,42.08249278140822,38.1437361643686,37.021203324683675,33.74667301971687,35.35782145106565,35.74232694689408,38.27019238808394,38.660005054709636,41.9311050444601,45.286172003660596,43.23076470396396,40.997094065371755,40.72133032166837,40.532426656891026,39.86138095266895,45.574803436209436,41.44377873718827,42.63724734708581,47.02558684573463,46.03167568790198,45.504458047975724,44.22734148323836,47.270050826020324,48.78154856031912,46.09737573775476,50.18675713790936,52.61680812914171,51.03182552174356,53.41593542468717,48.92770425851625,54.648085742795004,56.11162152536647,52.25735078383461,53.19780925943192,57.55561755647609,57.22878987412949,52.70054266561108,53.60280195011657,51.73483863073211,52.78689445272676,50.49987265226476,47.221933624879945,43.57855417034677,41.11386244151483,37.61598501085099,35.73288822757392,34.10835268235085,35.76028965347382,38.60508067293632,41.96974192525762,42.15745321671133,48.508366821858594,47.69320236815606,50.801750702123655,50.05122415567097,51.04264184115583,49.55712341979906,49.15572085792373,47.0389567942018,47.544609386343744,44.15641806841474,43.18349910739561,44.72589315955484,45.8412941384222,44.875304523389616,48.10062637325405,45.21503768099006,47.71264633210486,44.333007300515234,42.712103470168735,38.05885396999187,37.9696325157369,33.70235934514243,37.198267556723096,35.00408374610597,37.02583968139843,38.696254416289484,38.18537403895439,39.80098068947836,37.99225551557901,40.80749751679452,36.11498286419147,38.59607105066372,37.32190327402795,33.15783799299887,33.66453194121226,28.76272288344663,29.07015088939744,25.779830459430034,25.779767389272273,25.952503806196404,25.037302109717334,28.39826475369329,28.372856086903226,32.41116455894611,31.299191597660194,27.878837284325364,25.53344529634191,22.424689434063833,21.443937840906553,20.555957579186792,22.671984453699476,23.01768031152788,26.42831590036892,29.19406636086082,34.04422521810368,32.35959870073024,36.868333607108596,37.78393717971495,39.22314139511491,34.91642355819019,31.386037511871695,28.715791477674298,26.867285372233074,25.006548782558017,28.79135830826902,29.443126997986703,33.956231876927035,33.26859554702301,31.555110567774268,35.02085871147138,34.05952887810069,31.01159852615053,30.835566784740315,30.767255920435083,28.150160980462868,30.040345323959535,29.15200667139536,33.29048931559153,32.580534913056766,33.957261357286946,34.84811631685908,32.900607967761324,33.84951703878688,34.21575238070995,33.97346704459271,33.353937730793554,36.004991791057456,33.858929957988586,38.5098134275097,38.39094660452407,35.521292750121646,37.7478820925564,38.991349510597836,36.246225411466206,32.954492547448574,33.55961516120147,32.386284976359185,36.25799985441666,37.87318076519335,39.11736385275021,40.347801740307446,38.84959178738514,44.076787361529334,43.47286784983501,44.325277922405505,42.575533452782366,38.8846311654857,42.617834597851456,44.68040279590676,41.924981263949476,44.90203826655954,43.862217657342505,47.71154025570985,44.84390046501108,46.58026093423801,46.18117893962042,44.23774319044495,43.069269355091144,40.67586540149284,40.299975350976034,39.507949740413316,34.91501125109159,36.007946335654104,33.05531125071975,32.74737712674036,35.35609428218267,35.1137103265168,31.0338690500111,30.768636216465367,34.179423494386505,31.179289756355754,26.577353063717496,30.47964332702692,33.80323228535955,27.813397677686876,27.491094543145906,31.07741853856969,29.68633895054739,25.475647979375672,28.338372063555656,27.327188040555363,32.61046519288433,30.11428885569977,31.776420296523817,35.545979270034714,39.62003183554777,43.17697022280795,44.68360582688384,45.79677482787596,44.78693441770344,47.52751488966478,45.64111846177095,48.8379434700451,47.12472286534897,41.23211898145451,44.03639780509948,46.199200031415884,41.67105027413512,39.98748474041386,43.08063210266408,41.546749416554256,37.29286031720338,37.29675434366632,35.07447545672919,38.769895550882225,41.821029668315674,41.69296694427665,44.24789497208171,46.97693085332683,44.67602738459959,40.65600328628804,42.62171773105437,43.435277043221625,38.64582252296439,37.66451921228523,40.3000139833114,38.68759857524161,35.27754673646967,39.399971520979435,40.17683908307077,35.83994225637686,36.305088591468724,40.03590740944215,38.441316759700385,41.389626412321405,40.63364443152348,43.486320893824164,41.49237444861601,36.15341227999953,39.362989910076216,39.86415899792649,36.437211257916445,34.920808967878614,40.08749107588653,37.84054455283449,32.71251978709956,35.01596665372649,38.881433299207025,36.059861703846025,32.07859099521739,27.62647347071859,29.705116710670573,25.06645230088846,27.340933852287566,22.5803325024255,24.79433679650112,22.199366739123814,18.909185045668977,20.82524079359721,22.13421879183548,23.69551827527541,27.483227750605682,24.824779195802794,28.469086632117392,25.510045698402912,23.375923360109294,27.787880495857635,28.804622577510433,28.69650276980024,24.79859500381494,23.80529354450927,25.425024494856252,23.127773047584913,20.23517327603567,23.641559713263348,25.606126396356483,28.006694252863877,29.728845600239037,31.23026415339383],[15.483030277368805,14.051626905439452,16.239296032662335,12.323737354237876,17.43476775009733,18.14087432783065,20.71835318404235,24.941990252347168,24.25518012666003,25.63771312463394,28.45460560076036,31.253159938106197,30.66164937775496,28.617590999715794,33.734419211812366,35.20895381967881,33.006459974746306,37.0234155660363,38.1978036542518,40.802081126215846,43.44401627429746,46.81769036321118,47.097068013837024,45.472661178658,43.056881829234385,39.43553829308059,37.94643294846714,34.848712084225575,36.70065528543099,37.01719197356772,40.45687173083045,40.23063103257478,43.85273734200348,47.25779659401374,44.78437815734411,42.510066820300906,41.70971964171041,41.357748594257735,40.29485332608291,45.55175296756823,41.5487165494125,43.39761706217326,47.630790486173694,46.322413593880874,45.75111430136872,44.049929084420036,47.02127836430561,48.77022409249314,45.74736247028588,49.488961380678454,52.05606932611259,50.58608816290596,53.25073114183791,48.84735798263383,54.626069662595434,56.33600491402645,52.69509133816981,53.767233219534866,58.20061282257906,57.85388968887926,53.6968590315737,55.048666731157105,53.45247140046173,54.63251513168028,52.00926506435732,48.71150761807595,45.62476611384035,43.247648134063574,40.14374967125823,38.508625103485464,37.07124696442055,39.15913922065887,41.744278183798365,44.81517016223854,44.72121697719448,51.06955038629334,49.68775452021568,52.83833238069498,51.642789306344405,52.22612742936156,50.38639980442971,49.467375321338984,47.215017779358945,47.222141394953276,43.87616883293247,43.43508850050063,45.456810443006866,46.74060363947683,46.29710887429634,49.85459248063338,47.362490885065604,50.301641728167205,46.99846899192681,45.2588402669049,40.53093288979824,40.87456264118029,36.528617277345646,39.3524957858611,36.830890340506805,38.48612443073549,39.85195320298221,38.55881379588508,40.140736334725865,37.59410654679153,39.79395586106287,34.8374253840093,36.77286392247486,35.018334447133405,30.76744021640653,31.92202519978832,27.114642426752877,28.04777899060376,25.523125890091787,25.58745040650951,26.825739018995655,25.78709639894411,29.56720199356134,29.343022134397486,34.10056711181369,33.222541515528455,29.9859667073238,27.53027690708076,23.908978769547026,22.555865574431472,21.253391518533437,22.090531712810822,21.691399930700598,24.905572764532828,27.152961401570035,32.10714342459411,29.608817266126465,33.97570496668881,35.10993226218159,37.06140324193191,32.73584761682447,29.712083940446714,26.28161283283959,25.39625943777149,24.20919767951206,28.181626660597082,29.124570796675947,33.938438056828666,33.74599753633041,31.74793867050435,35.189399644621204,34.605515201170775,31.387126775602876,31.263042148783708,30.7444137540167,28.493099852388543,29.868262161949062,29.748488719888275,33.634330940760066,33.51927321530794,35.26870503340739,35.744375416375796,33.82194596849607,34.049819073437824,34.76720689425352,33.54585801576789,32.77287425593408,36.05728283506111,33.47230127618781,38.16560917907995,37.3816894568679,34.28850264593329,35.9175199224731,36.917635547333916,33.75535283611632,30.903600388038033,31.485834503636585,30.97988082777617,35.01609058673445,36.90126817386257,38.55801609923989,39.86387774661558,39.03236475657676,43.97837482946844,43.14187884555436,43.60003697273803,41.529918069001795,37.60079920898685,40.83172029984835,42.712632118074616,40.1829323609022,43.70884826145549,43.228267283935615,46.696518340158676,43.812840722129565,45.04132042244684,44.22996534714676,42.31601889430163,40.617749536217886,38.01289112524234,37.32201890016501,36.07924768308401,31.512301363741123,32.43333291012801,29.22838277852174,29.483300754210443,31.600386565511542,31.900358752796613,27.973837265207273,26.933705509917868,30.44673281620551,28.008916269114863,22.811885652638296,26.518777808668073,30.44434460043093,24.75495608711281,23.923558132675463,27.61033312382166,26.969533826990958,22.562703887661883,24.876906988736117,23.359278191553415,28.687590945505328,25.287058594528965,27.240251197025707,31.134849047549107,34.89585169265901,38.45953840804955,39.871587897118744,41.29876563383993,40.330114954536185,43.20164886377776,41.63590776756522,44.566627566566495,42.54501775282941,36.858393751053015,39.8408005849692,41.60192942638349,36.95154113696306,35.57648575228792,38.721997266266754,36.72603411068407,32.483999879271465,33.08499653721576,30.84059964356888,35.162972193684595,38.046624784695766,37.97125849241144,40.91740904986886,43.73084920877431,41.85691169747107,37.540476439771886,39.39187115373585,40.73561509133511,36.05093134731241,34.601126060969705,37.53547832343738,36.291149317413335,32.54804430059005,36.32511792998943,37.51759768702687,33.462768444736085,33.24645242703686,36.76826919696428,34.82340634413412,37.67698507392984,36.989610230759354,39.468065401218496,37.33146744544191,32.12118478851815,35.163024123468,35.2877131890683,31.86648599328452,30.396799889702454,35.254661627421065,32.75561419543366,27.73911514672943,30.09908788747516,33.66977811121524,30.67379419062836,26.743867981165735,22.42055138014308,24.156729840049756,19.543676023375934,22.130948617999483,17.65107592426636,20.320387960580142,18.545898031806082,14.569367035611334,16.216228146480283,16.98694253796249,18.85747772219252,22.93341911809995,21.142185310205942,25.098531096652213,22.898160985396995,20.681749051409295,25.466847435463215,26.595869900562946,27.478558350868763,23.186286554797718,21.90482498996898,24.43361310374449,22.623310691294037,19.64131317948406,23.610708365194075,26.177100581296436,28.57603200590827,30.494784216878017,31.81762685744255],[19.201535859419646,18.244751191916215,20.63499573274357,17.036349382402786,22.100346107151502,22.73197592170657,25.16876767321702,29.387520264392666,28.34381050304369,29.473851348309655,32.10549988082052,35.134874699965835,34.525313346664056,32.067318314519675,37.16518277485622,38.85332174614146,36.51961445298828,40.30411281317772,41.09082520250809,43.98608863872125,46.34380200234394,49.813676929238966,49.794443109140474,48.01076139836196,45.89485696881825,42.25823659267098,41.13045403918527,38.19439155584539,40.23826061281281,40.826313965690424,43.91888141834818,44.107330909798286,47.6413726740543,50.919932379323896,48.55306372880602,46.124789586043285,45.638661893646,45.01942518729742,43.923414178000286,49.27208940818764,44.951508946722825,46.65657949068615,50.90235769178033,49.45050152206679,48.60885951963098,46.91664330076643,49.72596916568388,51.7013477796534,48.94229364779479,52.558615711175236,55.32898040720699,54.00777003668346,56.72083999441733,52.41505808137759,58.31573059652135,59.808247058193146,56.111804750311165,57.36266212437349,61.723804414567184,61.13663773940461,56.92220905543192,58.264686949293285,56.704373529642986,57.577077718532564,55.00662218558467,51.898547789277906,48.48058199457175,46.30729266842637,42.859835751720986,41.35868360836555,39.64002296997298,41.40786416675371,44.34634743103703,47.403750184296385,47.72149422402479,54.07211160381338,52.919267076470334,56.21352129848798,55.16436369621564,55.799724997324475,54.22054059289942,53.33995691904355,51.331968941192414,51.31700238650591,47.827022655621114,47.400145044214355,49.16492608808571,50.632842471405574,49.84569581163903,53.47689399212024,50.756526874078524,53.487946146824655,50.240790617374316,48.680158801779385,43.99940091512437,44.16689895181551,39.8639535490507,43.095992979383894,40.760034683196416,42.6214409132854,44.026636707318985,43.00868583115778,44.49019424925052,42.13963256167946,44.323133577284146,39.40802408881741,41.40045475180041,39.555312806630745,35.349278459192575,36.58615005806902,31.78684561872931,32.56038475717828,29.95677017139147,29.764477363483135,30.667793975817787,29.35478174356526,32.89890713031791,32.30971482025761,36.81112200426456,36.26078765388794,32.85668898534103,30.68539343661967,27.00416312934378,26.106742485970894,25.239440958175756,26.223722411773785,26.262519431807764,29.348709392761087,31.625549814793015,36.533205779257685,33.861905827409274,38.25978547752708,39.20465406114432,41.36833557586787,36.81884198718515,33.828805022853125,30.23659673802229,29.140025748485662,27.672042420422592,31.77735326492758,32.053351055390024,36.75917274995626,36.79368682100421,35.10894601240925,38.672346971080906,38.29767782575563,35.14572833697762,35.29064515236808,35.02457772489609,32.822424035672256,34.411764382841106,34.14352961899297,38.10223658303474,37.7498765485709,39.44148511379523,40.068969363147566,38.09585784873322,38.51560633261013,39.03830586497534,37.99959347652939,36.982602069416274,40.05746164829485,37.23043972844206,41.97860355858016,41.05542728521837,37.63180032512953,39.458281561058314,40.11544150404882,37.061271141932075,34.22869396377847,35.13044144892123,34.69689572597692,38.94779019925371,40.99488420748787,42.727397503879246,44.20100188268468,43.25146393861798,48.313210501441354,47.33069398202471,47.90435432836479,45.64816340681419,41.95217377732836,45.04367962175861,46.77229301127184,44.14807588447613,47.51884081620029,46.91834363887239,50.2362804131316,47.01017857402856,48.45228944852503,47.610017279747304,45.939190582818924,44.23989641282288,41.75100837684055,41.12197517665716,39.82854199807085,35.318752876283696,36.44634127834352,33.30833510662334,33.871121405723066,35.87543921890792,36.39734519896079,32.52398327905315,31.236593863720884,34.75521626203876,32.50602590946475,27.1553355639029,30.665050784338785,34.732425581894574,29.102573944795402,28.00409958660652,31.56599922134056,31.11160235605681,26.53142333638889,28.451285811364404,26.96805643832425,32.149093383117574,28.431738270698588,30.822067585990812,34.65748718558438,38.28791011152326,41.60888088407007,43.16430407927958,44.96205343436903,44.13111632444416,47.11128380359943,45.76296822452739,48.503468844743395,46.27090665281683,40.77260269691251,43.81650303326283,45.237456166639944,40.524062613942014,39.359458111633565,42.389511293108306,40.009143923654676,35.87452932585682,36.73027605311589,34.767946973764474,39.35332645347085,42.205326751138436,42.24359791904588,45.32744905337414,48.17654520291879,46.41950232730252,42.03751002930826,43.83899212712527,45.31171357705293,40.67108677091397,39.089443107667776,42.00839513644477,40.80138340541719,36.99461355054875,40.60685435893552,41.794967936220274,37.727481952549,37.3367871064804,40.7680374211715,38.81334170075158,41.75130714742155,41.22910520392554,43.52984824804402,41.19181218717748,36.16283396436409,39.18473771102289,38.99089734328505,35.56052792610375,34.25038169114435,38.78888963220705,35.96692059861328,31.181596130074144,33.568566196269494,36.735600010650806,33.45915272361968,29.689736611374318,25.63129656573191,26.569480087748364,22.020650859528853,24.85024871974284,20.978366948523362,24.167556461865964,22.792871320186723,18.5734511632743,20.184853051591478,20.408900972540433,22.51530854664881,26.831707398396926,25.51104132826153,29.47287900055493,27.42164077286059,25.346409219811278,30.157457350959078,31.229940107148295,32.169495471806584,27.901106980748125,26.499756823929733,28.947004315185332,27.217775382206128,23.997877055255707,27.801405068730208,30.31475722485517,32.78928575967511,34.589464309526605,35.86838271693363],[16.508378190029646,16.245590330869714,19.031230379462155,16.729072679545833,22.418980897896265,22.385076735324624,25.396421848386716,29.261477574959013,28.318808377616143,30.12529012286462,32.58273544316782,35.244136049535136,35.34000242784706,33.1014372570984,38.12014619830259,39.85605054133078,38.01153817175188,42.0233675873796,43.32558654890341,46.13419759484362,48.77179135083531,52.31707973213717,52.5264050111054,50.96817638117241,48.64978674028457,44.90261626285224,43.52566309989326,40.30835127042107,41.94999435870462,42.083676448421635,45.10361486302538,44.93531481847225,48.30030219428792,51.88644179107397,49.68521862611227,47.60168310732648,46.85769313436845,46.823374582451954,45.93917322208277,51.30620521308875,47.3583006728446,49.03681119706956,53.32615648373602,52.11941772900965,51.54950769917092,49.92266884594925,52.879530578964136,54.623575371296376,51.666466875084936,55.43941578890326,58.00015854808462,56.50550690346748,59.11575012181016,54.66801801267849,60.39645956152286,62.113113895325114,58.41071455952198,59.37927819596698,63.82329668080583,63.54821267009538,59.26326596855298,60.412072810084524,58.6456720111334,59.8456545935377,57.38730479104202,54.05385928337843,50.72676442208859,48.23077825398674,44.94660250548653,43.0587596089006,41.56175265286619,43.33348220444851,46.06561356063119,49.409646757585044,49.392324854186754,55.74536650368734,54.699314302683824,57.72736246319154,56.764569475940796,57.57039937298264,55.74029015442858,55.03159673167556,52.61904967887399,52.824113803539724,49.576403902169076,48.951080179254134,50.9457158609179,51.99545590206849,51.50776303997627,54.75679595778938,52.130431431399764,54.8175825608246,51.363430277837296,49.5238322598658,44.81248229421762,44.771370057669586,40.463738819003495,43.507079111483804,40.964852949862625,42.30028247347455,44.31777565509387,42.99533534717624,45.03821371043994,42.45833718507401,44.969819772583755,39.97295025937922,41.72407664545124,40.11156387509802,35.73620255420429,36.76792712139853,31.966337268752625,33.287999127463586,30.597402067320697,31.054057610229847,32.094436987473344,31.29204754566312,34.98286894098886,34.89721011816857,39.37747541874376,38.32791982947941,35.00897832636344,32.525025182384546,29.202252346308534,27.871994496828755,26.44460498211951,27.722098350197314,26.870813648311024,30.36135319675563,32.52022245236185,37.52674712201398,35.04390685806212,39.25887625605484,40.67335027503362,42.56827340868837,38.45262073891481,35.474932755903765,32.05258243586703,31.328639486987907,30.14079885059396,34.07916961684711,34.99784561583955,39.76012509741163,39.47240273638933,37.5237363993351,40.95618947327353,40.16690887121986,36.97418235899998,36.61880304059081,36.00780671622072,33.39077127324672,34.48014252379189,33.8342867540024,37.42873762020236,36.57562496767527,38.71825762005682,39.72339059977669,38.193280325886796,38.63464031454234,39.657475631161994,38.689395087242005,38.339704529484166,41.614951614270254,39.28841097016581,43.95427388101347,43.305956757995574,40.2667513618354,41.85617302813838,42.83104474903431,39.60121434424738,36.83492545456885,37.389948191666676,36.91361640287301,40.86808760646338,42.637987337114886,44.15909875095759,45.24522300539834,44.29482822945731,49.20331718878341,48.65919083930872,49.088499264758504,47.25063383240261,43.123517117710385,46.48109943134734,48.446131605335054,46.00171199460008,49.60294181418741,49.11429665122699,52.65018435970526,49.788705554357165,51.00622552954239,50.15588283267694,48.22073374338113,46.42652059386087,43.742317295758816,42.91186512389855,41.467124370985665,36.92899443799628,37.57600589869074,34.09028250320271,34.34422098731547,35.94778422955857,36.17369938610447,32.43212067250789,31.003766177593693,34.101820041429974,31.6448299493307,26.46569411658629,29.598908968551537,33.30251991224275,27.538268676549766,26.25373581601182,29.52670702410715,28.947768168430425,24.213676063539605,25.918609925559732,24.854022977006075,29.830749349925586,26.855084445126746,29.396668718165635,32.96530473298878,36.964272406897926,39.93301996040146,41.91191480814125,43.821688997885026,43.35312339871844,46.51943740503678,45.38564540565506,48.37878842469124,46.006505655112214,40.62185388546391,43.96575374625038,45.5466156862185,40.78346193221276,39.83072242487998,43.19853375520324,40.80547782032258,36.56992356952672,37.899053621107086,35.30892474514451,39.96321989414303,42.60441841302177,42.12189851987371,45.211450940932664,47.665314622657306,46.11394368880368,41.81902835994942,43.0621217292581,44.47285219833855,39.994699895226795,38.13228480114863,40.656834351850264,39.32767181459471,35.50629686770682,38.92713518650967,39.842049882179964,35.63757390443739,35.24807258515364,38.66665477588082,36.98186301012648,40.22230580158447,40.10753099620258,42.523118244766195,39.80557920112184,34.98846842643304,38.46585063167939,38.101458486313994,34.5431131656302,33.81993558237946,38.41697876982608,35.326649483060756,30.725346203640623,33.690251234045796,36.70758958988293,33.20224561750944,29.54265146458378,25.29662434664041,26.275889368307343,21.554174684131354,23.588718999290556,19.791065925201753,23.091563884571205,21.470262778432623,17.55733196789531,19.830242154532222,20.450140151800525,22.995160629054055,26.969928296762607,25.79004879108809,30.003565946296234,28.057756765250563,24.92785900488815,29.62835629457034,30.136174820775885,31.42303917845897,27.372482741209126,25.217648352728453,27.450097138783573,26.500169175574612,22.326249471966598,25.893160128742732,28.609025878462187,31.2486192911348,32.903157239373385,33.994163486607256],[18.764786191836603,18.684781705861425,21.730792096663645,18.5051019680822,24.301003448085694,23.300345379108926,25.80139243276614,29.54006475111238,27.77678204130056,29.199935006571256,31.258381321651964,34.21815673326886,34.464895941355444,31.639045358462884,36.53535672837991,38.626031629642654,36.87670396481785,40.63109267088287,41.782750419808615,44.979425875746486,47.43554850919243,51.25760984242362,51.25346970917141,49.812248463095266,47.73072134063277,43.77698629623722,42.75275356585864,39.48123191799197,41.027916588680604,41.31485249864698,43.619564378879424,44.01534538532927,47.12137965928887,50.59180840828602,48.69878502144684,46.57925979917881,46.30349974554122,46.26255909638956,45.629339712036945,51.33546591695366,47.19933047332813,48.38083607176761,52.77300413220813,51.74731123530683,51.137769252502565,49.817473560111424,52.787992837457026,54.41452165964385,51.76982739631921,55.76766344662902,58.281834713622246,56.7425683857633,59.1633668404128,54.68627038016556,60.41183494266871,61.87809930536236,58.01064912051936,58.94611529773572,63.30665655257474,62.96838442508924,58.413228858804295,59.249206489159334,57.317795448410635,58.32913797760659,56.120795360385316,52.869628291492106,49.08301363818835,46.60728994412531,42.97979426652557,40.99488813168701,39.30173923792455,40.68608184892605,43.670827006578584,47.17263494603063,47.4712352552242,53.79579226318464,53.196641288255705,56.241970459592835,55.623374667802594,56.71454052064382,55.22584708044948,54.882783679873654,52.66996422677182,53.208147768957176,49.870320582461034,48.88612945789294,50.455699417443185,51.46801569329661,50.50304511872473,53.562263524724656,50.605263717360295,52.92680814317278,49.468764358229315,47.79337244492827,43.174039403362016,42.814623105882774,38.60308201480956,42.20911597689894,39.97898730575007,41.69129019939952,43.83082203756167,43.17608769275495,45.12905568333589,43.15823586371354,46.0627565409648,41.270915349114176,43.487394013498516,42.17106114053924,37.875996953058674,38.4846561258586,33.59132968634497,34.34216063808894,31.118512111555436,31.385785095858555,31.6320441180085,30.80555448152812,34.137251938441096,34.07241507334285,37.98892200130364,36.89304148573473,33.43718694869595,31.136502231325974,28.138896244125682,27.188423807776296,26.18364952479842,28.272542024455774,28.135608019160482,31.691241539920178,34.26181868658708,39.200010821243346,37.24743503904299,41.64332471423802,42.79047746808978,44.38181883727977,40.15437202348575,36.790486848115954,33.84601834807342,32.3454812134804,30.612993357193364,34.4683435862954,35.015076307911066,39.54209182254416,38.973269873044934,37.30619388537133,40.78566879899366,39.81735052434595,36.76680293803861,36.48883314227637,36.28502103832967,33.49228918112965,35.061308508939,33.91870834657352,37.76458957403094,36.536010859188735,38.306497381968285,39.56928934542107,37.94258538798855,38.92606142459033,39.580848984280195,39.328957946988425,38.9415948260163,41.70450341841533,39.583476036578475,44.24011903038517,44.0169598115552,41.03787765580144,43.12970790205321,44.205902474204606,41.31105256792372,38.192606534934455,38.85412291573461,37.90443044817832,41.82552031097561,43.46726813563765,44.73387859439112,45.85282802979334,44.40018132218532,49.553948855721906,49.08897866033033,49.850300336351836,48.15311130730772,44.29523954874417,47.97365961615461,50.02405332788938,47.35964407810127,50.50362690560899,49.566780008174646,53.33907280692383,50.3916841486666,52.05115420715096,51.50962883354423,49.61349600787703,48.231592648358756,45.73989610275335,45.18982812816182,44.1100649227524,39.52341037047553,40.42339156664023,37.181435654622206,37.09595599124259,39.18622680510915,39.07869503694404,35.15847370819271,34.33551711261478,37.49733312314369,34.64619760557586,29.81897021833929,33.24667816373731,36.60805437870479,30.61127850636562,29.765392167696234,33.061617479323026,31.92415154415505,27.3667013620301,29.578688055935647,28.79200385694402,33.81448014642108,31.352511187789617,33.612785260383944,37.17788493614448,41.346857937412786,44.413290755115824,46.365547778345636,48.00094329917364,47.40408119042047,50.43418363742416,48.99163857428403,52.1434009683181,50.03659971444791,44.43087920336057,47.58040324823006,49.443521496919814,44.75961292639505,43.50310251249799,46.7693717285232,44.722805916558116,40.468894722964635,41.222331595407894,38.785336248333984,42.98459096011971,45.82433543666897,45.428299677948196,48.233167069892986,50.72720108176255,48.7939847918417,44.684274720434544,46.15503375115539,47.178044789582785,42.563883697880335,41.11740933878829,43.51633684035347,41.9261841483616,38.35119735154896,42.09851819249681,42.754100041100365,38.34999364410063,38.49359622435584,42.08958877431905,40.611085343821856,43.8620794844859,43.591698073588404,46.282374903568495,43.762402847090705,38.76291547003254,42.272850104740115,42.25033544822977,38.7011581840666,37.77073876401796,42.634491479322236,39.80583432190232,35.02087110155864,37.80308278414073,41.130603651974766,37.81451820038491,34.045372162891475,29.692942965320917,31.000043465913716,26.265261995984485,28.303574583436053,24.16843632169057,27.08018243234174,24.86462395719335,21.314204834894,23.61705598042449,24.57753306877606,26.778674033524396,30.697091203500456,28.79451433204538,32.77221630618604,30.227734004218473,27.39175125679989,31.8962183429948,32.462683041018146,32.94162032547054,29.110156251279307,27.33156790647294,28.95032538943783,27.480359510619397,23.561950331557778,26.750761911560414,28.962428978265113,31.566920826343065,33.08147991017498,34.330961626940855],[13.08437071008424,12.871618021650317,15.911671144922407,13.450397909819626,19.49247311304722,18.61128314807744,21.705080705713126,25.3459371769261,24.30028091025292,26.389651306466103,28.732615474237456,31.21573109571304,31.660736936165804,29.554039732223504,34.493813562662815,36.240204317261934,34.7231045180039,38.86376022564315,40.57184939517193,43.29653523017475,46.15779279478789,49.77357215318106,50.19095732042297,48.88930670048503,46.3888856968241,42.530661968010705,40.962680427851296,37.509979051337844,38.80975954542098,38.64451926625906,41.56915491290448,41.21456442944819,44.4675917484147,48.20023718698911,46.11625712705657,44.25741571508753,43.404602924939695,43.77862055871772,43.119498535441856,48.57217918747131,44.916978898283446,46.44910437639337,50.78051219904741,49.85831885597021,49.570505338307534,48.11387455229901,51.24130880572368,52.671094377611354,49.60805317480881,53.63128310546201,55.93427249493587,54.24844999892998,56.68688844737343,52.110951991077144,57.67167425149371,59.50676278309524,55.77295889523365,56.489591277636826,60.96908618660624,60.955151886226346,56.57086155811665,57.51468271678473,55.579343609406685,57.03979063716385,54.695001949182554,51.183311056410666,47.94119811437144,45.192707071941086,42.085547531577625,39.92380106302357,38.63980935136235,40.496963306085405,42.98429146330389,46.49534808155628,46.18156052918923,52.51305368436475,51.52222677168142,54.35358242623055,53.46346863945174,54.41749736373899,52.465772019029835,51.964307219779585,49.328168412979124,49.792776957334695,46.70436513107812,45.82072630060119,47.87995828718245,48.622960110525874,48.27864383451333,51.24860995828716,48.68485922358353,51.35505557706844,47.790515470840994,45.79190037415691,41.07681766335314,40.96471026710477,36.66314992808424,39.571891011006834,36.95586302781919,38.125506736163096,40.383766547666,39.069222671047484,41.34250619746637,38.844317569200925,41.689018848787946,36.75677342359111,38.623921554808504,37.33859771766856,32.932737759162016,33.57789774254687,28.73779816627791,30.07707079808048,27.13663542426657,27.94929027402369,28.882006881062654,28.47764769208084,32.200914107351316,32.583397314929144,36.96161856226636,35.47031338130098,32.260403192801725,29.542137274581727,26.573693718882357,24.93206181790825,23.174240578201882,24.88343451898918,23.73059408844268,27.492832789991663,29.794282590124617,34.80027814968974,32.83665287819674,37.03159340254261,38.601661837102384,40.05817108700142,36.23474641281147,33.047861618653954,30.106549882144023,29.260933355570362,28.107732311128107,31.805163058327526,33.25246742341053,37.9693174048023,37.26302110492042,35.134010892915384,38.43199607211474,37.2496546078739,34.078187112388505,33.371270356066034,32.646718940522675,29.74862102016269,30.724576960896446,29.78756863624863,33.324514291809386,32.291886573928956,34.46251966374254,35.60742518213903,34.22899915363613,34.80239307136062,35.97367873105409,35.262523207417345,35.33302055141806,38.5626307876746,36.718774970295776,41.28512164814358,41.06138426090142,38.455626389308335,40.068204876578484,41.46053873203818,38.288571753075566,35.36090131232926,35.6077828713493,34.81133562457564,38.4523994419944,39.92200194648122,41.16949093423942,42.000229080063974,40.88677855098414,45.76364419004647,45.52775338585575,45.98656562266424,44.51911785076631,40.218498607717535,43.93558765443382,46.13759191155541,43.72201176847534,47.26648667473388,46.67951533684051,50.51434905683048,48.004711394607185,49.20567801193452,48.541890053628066,46.35836097128926,44.76147447364767,42.041873972489306,41.2529699605247,40.007510898714,35.42284360676869,35.88049527668572,32.388117446659855,32.08771195466595,33.90539144696079,33.64761611000349,29.82948600584152,28.915269498349286,31.869677139511825,28.95214408477398,24.211044561975292,27.519577543241603,30.747983021836536,24.739867404289082,23.884291680435872,27.170563837021742,26.03233996260542,21.474855978816727,23.78434669440343,23.02375203561514,28.089288624775225,25.974311335636006,28.010216363089675,31.523701098546052,35.84830156777844,38.96966796943944,40.93227623790726,42.39343109703649,41.85122047822757,44.897874875635665,43.478098334103116,46.791570277228274,44.710297854006505,39.10155337586759,42.36658924905588,44.4314146849633,39.772971336323366,38.54951694853409,42.043698469434375,40.167080449804864,35.829675208269066,36.772857988924535,33.854549633471976,38.02861083375765,40.72064138001023,40.02034119930898,42.82493553711591,45.13313931306689,43.34168522522754,39.247922543497126,40.46592795015779,41.52396119796954,36.99539766088118,35.3851252760214,37.70776064555584,36.15234780714222,32.52022071570821,36.20892951332617,36.88372936188864,32.513479619848184,32.59193495889114,36.19717889125264,34.7328438153966,38.008148860028165,37.79987398691336,40.55983281186692,38.00940772670245,33.013577439136,36.67307172176774,36.72112475559753,33.14731337316026,32.3745896872708,37.38632662365943,34.64758895012602,29.835870777277798,32.84362585757499,36.30179056770801,33.08829171510537,29.295239763464323,24.750021833615968,26.574523947624257,21.789617886570248,23.335361032067233,18.880791710877862,21.512517464331,19.07851807726398,15.78987758496486,18.377587115704657,19.787428294922982,22.062437148308817,25.62474894037712,23.7110360142229,27.829340188992127,25.479720071366813,21.991488692046676,26.48003321385781,26.836745834267788,27.74590229438232,23.895776688198545,21.733638896957963,23.58601447506165,22.596289379422007,18.305969613844553,21.747694162470623,24.347538147463425,26.99587611314562,28.6441377067272,29.80664257045386],[11.084213912521466,10.449878996922065,13.455401703428599,10.128451000742205,16.25864216456032,14.561720779758561,17.529460783954622,21.060760075394505,19.894468570821395,22.09604505484592,24.41746540274567,26.81512158690475,27.37760447777294,25.403844510276844,30.295996490179064,32.0007226889748,30.681095590857467,34.91428602269848,36.930167081174226,39.54466974464491,42.57986692392388,46.218298637158355,46.81448611827727,45.72496211379972,43.07079844138687,39.15182280460251,37.4197129503321,33.79999192365434,34.8424320541997,34.477597650620616,37.38556409345153,36.89774740242561,40.11552183262024,43.911451890973765,41.86907303293249,40.14353901147335,39.22092647668556,39.85616602670838,39.366090886159526,44.87913904134386,41.45337770535995,42.85853609666349,47.20646095223576,46.514683949662036,46.46516689945568,45.16784993915705,48.4256008910684,49.574240635653254,46.44658311488478,50.67325343896741,52.75050961360376,50.91616028557593,53.200406559362534,48.539481034780934,53.96295507383803,55.86792232032224,52.116913413624836,52.65131712161694,57.143013020698525,57.3191850222376,52.87379110585294,53.678457453370214,51.63990922039619,53.296339154440616,51.022400693816095,47.38312432194645,44.25400206420773,41.32859491736351,38.40963710122468,36.08004803499419,34.99212297938284,36.98914216205567,39.230208491780985,42.80776822395943,42.237831880601476,48.54284590842695,47.53285093156671,50.23584316048722,49.36509814943707,50.401056913153745,48.37566100101686,48.02112156414769,45.26462321269737,45.923851834759546,42.93881078099904,41.85270744326686,43.93292596632325,44.479090133518035,44.22842773988817,47.03654781560792,44.53969976399017,47.24484326312597,43.63221651631792,41.539601112464325,36.81803272936949,36.7424011050169,32.43542085483445,35.20484046381418,32.551367107794796,33.722865766469035,35.99560927631705,34.76649980751553,37.08850252260685,34.739731069182795,37.82241849964475,32.993720570333736,35.07463344532107,34.07234513726737,29.71241447258717,29.991001053844673,25.121255796503252,26.275012589892775,23.08679214044303,24.101892091529937,24.903082303591056,24.813623660677543,28.539628469924438,29.31558034566074,33.60649265573495,31.766888086639604,28.685224542673556,25.782057266670805,23.116124451921774,21.205582208599225,19.19758462434715,21.294538609103427,20.07705143503836,23.9991531476863,26.49392433570009,31.44124445093901,30.014160624021088,34.22220932270562,35.799794828871796,36.851389991219364,33.231748126032635,29.82648395318251,27.40267308767334,26.324873089136155,25.16284670701504,28.59997279504584,30.482188675022766,35.102986355193316,34.03479476316347,31.77011032782861,34.935217585230426,33.446479468298335,30.31123403800367,29.357117455443944,28.599662354158195,25.529847669165026,26.55036132732698,25.453181978671203,29.08208437476467,28.10213281334415,30.121487816153472,31.241130009778235,29.85229348570072,30.538842645599143,31.707961147846486,31.230686960458655,31.550568797869598,34.67873469300498,33.2202361760899,37.68491215108098,37.836482134323425,35.615437555069136,37.29815719222873,39.05010013481175,36.010108056196835,32.91661645019909,32.91189345302528,31.782343182253843,35.13943647187135,36.357865487362204,37.37323940715946,38.04735536879614,36.77329501912295,41.658693631175055,41.60921077714382,42.13687837294461,40.9382457540782,36.58851022078348,40.60259010453214,42.98177428503577,40.55280496872436,43.96333203657745,43.25179436556528,47.33005059169414,45.11296753872696,46.33989057719995,45.877221067596295,43.51009826137229,42.15708294919499,39.46917304658003,38.790423517840495,37.82025068758383,33.227546940896424,33.630101635961545,30.285338689395466,29.46956378456301,31.669777945037687,30.983041512616456,27.051394097148314,26.800558236104592,29.73336990645029,26.406583023691546,22.166328227500824,25.789268936694224,28.602300541193635,22.455106245765553,22.206897706600202,25.589983969512012,23.900065481472524,19.72260962896443,22.771328315875543,22.155084056903473,27.30542905111918,25.813788867613372,27.201512358038052,30.718807982680882,35.181055986811955,38.58283145133412,40.333786353587364,41.2574579287265,40.48974289045273,43.312463770040175,41.504118078136756,45.04923575646571,43.34825314936231,37.490702771109206,40.53195354638858,43.050321125480906,38.556893961570495,36.97071184867019,40.45450439411647,39.156810822335,34.78645859125153,35.134399876216655,32.102622978860495,35.67967004439621,38.489770884828495,37.7515774762092,40.225071310676576,42.520328580021676,40.38988449294733,36.50035249784844,37.91472002680704,38.604950268784485,33.96744667044796,32.77040177255116,35.030962464196584,33.288367631659874,29.89707709949156,33.94802821746526,34.48336440833893,30.030794077812505,30.62813050693657,34.41021621750475,33.07339247221652,36.21962684923639,35.73030965571915,38.80024997233753,36.614104700175396,31.378122423288733,35.01029144946783,35.5788595699448,32.07952795353693,31.021550520093438,36.409170931464296,34.180762514089,29.135818642195005,31.927198171050936,35.87417491253552,33.091626636302436,29.17300083017122,24.469592673997997,27.125391627671664,22.45026853096034,23.761071410424407,18.729452932418226,20.483097177278886,17.288988066592587,14.742922915005874,17.294071895081302,19.385596966801764,21.125929586782636,24.264321379123086,21.479237479147297,25.326654536639996,22.482966062002617,19.032567451406067,23.26801201478892,23.702650015986272,23.99697676626633,20.298826801361535,18.51335837123384,20.00011334674991,18.566881016075378,14.64633832957941,18.06867012690588,20.429041233349942,22.99814558050219,24.728695674298404,26.07604609333368],[9.869160859021887,8.060983131677466,10.23386246960419,7.512226283615605,13.225058656814346,13.620537023621043,17.019954423421375,20.85522584014923,20.9293923956783,23.226998015430045,26.115378595784343,28.227791139538905,28.197002388081234,26.96674915235958,31.93153668748014,33.109645408631906,31.455888228511068,35.85012111704627,37.806989433504846,39.93075714465318,43.05205658309047,46.28238321345158,47.055860827320735,45.752636737525165,42.89553380447354,39.31390101870533,37.24401565534241,33.848047320417955,35.168770046090835,34.80906094350375,38.64884159351492,37.60122144051122,41.19930796469251,44.95294181823968,42.45687853012494,40.63949924108688,39.2285542818468,39.61237517973157,38.7149334050551,43.74693198616566,40.448099251087704,42.48604463372817,46.65709627789846,45.6576283178673,45.571587577221656,43.883332589615755,47.06915774866767,48.42003898949152,44.97776631453384,48.865028171137844,51.05200375637976,49.336608803847874,51.87962740655381,47.32514936475354,52.79173443296431,54.92080053882369,51.396615692830814,52.075854325312015,56.61904753654869,56.75414070543315,52.69149913829367,53.95659916192787,52.22161283852852,53.967699446332034,51.354955491819865,47.72939968431513,45.166266742509784,42.38275383205117,39.85890598334416,37.857394304869466,36.9280854366596,39.35914708629017,41.35730613181205,44.56855904530613,43.76515263927104,50.03780432537456,48.434365644912496,51.20944498712023,49.87415060668318,50.469685665787516,48.12802578703005,47.235020960075275,44.40396009078475,44.53614002224924,41.582882814263705,41.04986689433894,43.57405093546582,44.34307323525908,44.579840445887015,47.77499782699014,45.67874212318956,48.83466855525887,45.36233155186769,43.2230685643563,38.468008948405014,38.90163774752008,34.557706076535105,36.64036395895431,33.72588750193361,34.643856126520646,36.39664832291733,34.42304022180611,36.56455150523174,33.50679477447999,35.887095821181326,30.817739429725183,32.378386621473176,30.871540465519896,26.444403102782893,27.406021926156274,22.647580945848258,24.37825661752704,22.052923678120283,23.034074029386506,24.90636023877126,24.63455086651383,28.712081990714502,29.256239468373963,34.20629737776346,32.6593596075023,29.781144620484266,26.848506150278734,23.672391787579137,21.478474887228636,19.174835557751162,19.863879915037785,17.938299936114873,21.5795741690795,23.53904957844326,28.565762210808835,26.362680362852167,30.436861541794137,32.20662235036615,33.734346986904946,30.102655029865055,27.19659345791549,24.091529553397574,23.957336927984468,23.478699003808554,27.024306941061287,29.200393147544705,34.048756248318334,33.44676251008774,30.929593133503758,34.04201936236544,32.96354912188912,29.692225583493816,28.855750880904562,27.689668394625183,25.118426264779586,25.679215793072085,25.545442914203477,28.955467095679946,28.824662429226738,31.061900469278985,31.589528719504845,30.11920425587864,30.01584673854847,31.434830452864034,29.922020866926925,29.99714564701862,33.719799755794625,31.805890810272967,36.280761470402894,35.78896579261534,33.39495988171067,34.50284872767072,36.06372318057967,32.665827273523846,29.990465643988035,29.919629085313247,29.40835479926865,32.885993074694994,34.365446719679525,35.7971355879781,36.58779358453354,35.99935630332137,40.59708873438707,40.25098596139914,40.40134498143027,38.85520957961795,34.32219080424494,37.81924889373177,40.01315403852465,37.799584065891544,41.70757461001317,41.52897157915552,45.227171891892944,43.0217034892767,43.7650606702031,42.93374406081952,40.58964817850849,38.76736114292006,35.89448069766371,34.93480778935405,33.580872213074336,29.021329713256183,29.24974564972411,25.685099231712556,25.362466783258576,27.16963985586066,27.007818675744097,23.17774047042217,22.226959176927725,25.351478667932668,22.565305071290464,17.66235591709679,21.259176920808855,24.76377927610516,18.89544526759023,18.211178597790326,21.856875928617963,20.958287717251228,16.624174984622776,19.273844853745583,17.981299702161756,23.337206331125845,20.869164127842524,22.36474219464228,26.112276419495274,30.263350488691504,33.842399323353334,35.373678728336344,36.46770146442646,35.62604010385784,38.521153644901204,36.91563034690231,40.221363084289884,38.30619992566539,32.55230383852335,35.70732285675548,37.92479129428306,33.33528237034812,31.94443729975503,35.46920900754874,33.86478609951184,29.48822017748403,30.258513866933587,27.186632936713107,31.28216037472345,33.974202013430535,33.33965033815324,36.16885278249267,38.6245849440851,36.84292701901109,32.644827895534846,34.076740565754534,35.288725996507885,30.697551988205102,29.106817954845386,31.784839400130213,30.4458363150233,26.707822843982427,30.504178931330948,31.551051609690877,27.43196825158018,27.343334471857826,30.951220242387055,29.178531334652938,32.150789735554284,31.591569296776157,34.32858317831442,32.12663658180428,26.88585106605068,30.294378278447695,30.626443332567487,27.13704470933137,25.969791662911412,31.181776718363594,28.856312409532862,23.789042468527956,26.56483204786818,30.40081795369323,27.585320382893325,23.644288847557714,18.97023521177278,21.64245647988493,17.021486064807114,18.56974341957736,13.492698313138822,15.460877392886962,12.944948008370051,9.657129012499194,11.980311049962856,13.853953170201239,15.755750824446924,19.071008084610398,16.949875370845014,21.104467077564234,18.9804985115615,15.519089364260463,20.20528926347163,20.905628017937616,22.203664364580757,18.02303766913581,16.123145307546054,18.753893762873098,17.658671818212763,14.103487471735338,18.22069891793803,21.132273812321692,23.542636883024635,25.515007778221783,26.705537977925864],[6.468709633835155,4.773396104144437,7.539249263946282,5.593871702376162,11.690130777064297,9.821645995110579,13.67127806338036,16.8155143747547,16.846513914459965,19.904568363085364,22.481140026166184,24.094990053015422,24.894333976541688,24.008640109653232,28.699425854412116,29.887538812136178,28.938002063026428,33.49739434696685,36.142458945839564,38.114653039086484,41.56075875721907,44.887992373293166,45.97031431581745,45.088823885782624,42.01183050148946,38.29474443174683,35.962999294710755,32.21651756957824,32.87733111212121,31.9287259073029,35.52434199469874,34.104539943788225,37.43769044931036,41.48001804269233,39.24412977854046,37.886387786580165,36.267416405242706,37.44052389725379,36.96431459396589,42.0787196504792,39.33226272164547,41.085838492094204,45.279971981964636,44.76340907667912,45.117319144414104,43.72091728212529,47.12027873803405,47.98032251510349,44.42494963662695,48.65207541337733,50.41687426805754,48.41075329601999,50.65173657290296,45.92612427712621,51.05979901593043,53.37433024112241,49.81954875250559,50.061999203109956,54.63731565892981,55.20477028365624,51.000381450438184,51.89491513721506,49.869723290983224,52.029682759155335,49.648171847950714,45.762316152626276,43.33220488323829,40.14698781679867,37.93247308473082,35.46340521437099,34.90576978623667,37.376528101342046,38.96257184396739,42.45002255984756,41.17276017365081,47.344753735134326,45.90079958019378,48.29872496324725,47.1271497425331,47.99917374202434,45.45086179471751,44.939975447056995,41.69302895887401,42.294122969953726,39.67574088895224,38.685816363458585,41.32087526301938,41.50267712053608,42.0100152032596,44.64552332765861,42.666332447307305,45.73236322364454,42.07061949454161,39.638758554433856,34.920171150803434,35.169634746614875,30.894500156647563,32.67508858026749,29.595436931056447,30.045716252035295,32.39506772245896,30.33550629919366,33.04232821469487,30.065732335553527,33.098020031055306,28.1651950864182,29.824996909884238,28.969819823513642,24.525388244549838,24.711121414462824,19.968224939319533,21.90880977705182,19.163628218364646,21.00590437810655,22.677826853625934,23.233051730536403,27.235681527506554,28.587758456241378,33.1922531365434,30.919754729848137,28.301931237766986,25.04286220517744,22.667816808675266,19.98045402185274,17.02936192103498,18.52800974472144,15.774451548141458,19.92541140055879,22.02072873469371,26.929856234165875,25.71697459352,29.577514375432116,31.674805605682963,32.402928348788926,29.439413645489523,26.28667849176742,24.13790477790667,23.891111682667532,23.534937939612032,26.502055183835747,29.484900345194543,34.11011752244793,32.847424193327505,30.096610375886243,32.89846438636612,31.128507904583078,27.96211493441297,26.424858445838478,24.97921165234207,21.816866877222033,21.953109549709286,21.16471818956825,24.313680574784783,23.709861871732592,26.182284561304268,27.071516790020386,26.032277334775557,26.151785876898007,27.996915842962355,26.96157894583732,27.96079681601751,31.58562092400227,30.614100465183867,34.81981182528011,35.064420239627815,33.448132703870954,34.53441442758456,36.710348084997335,33.469708057027,30.656034596050024,30.073657999150065,29.07183139548511,31.896985713274372,32.799559234671115,33.70875927613769,33.96652239994183,33.10933754018187,37.57441223926639,37.85053995299669,38.01420429750188,37.18475032044106,32.32887954624293,36.42239403993409,39.006795912509666,36.91218441917617,40.709669932721255,40.39357676306663,44.532954039105725,42.92249377845178,43.61265930950211,43.064830713013855,40.36458418180757,38.85103490331496,35.94992972077906,35.031312247105944,33.97039348870488,29.485603399976945,29.29339891592909,25.753931890964083,24.444946504995137,26.401659089535446,25.33215703455173,21.53174436749243,21.47367683515591,24.064923898490466,20.473478945071182,16.697243091091032,20.248005315364537,22.63613586004474,16.44771943140276,16.569013386342814,19.945435001220634,17.992267787383916,14.1470621665356,17.713565558823678,17.21013501983556,22.29578152780017,21.59637753447943,22.29529660880528,25.663838924490868,30.277987381106556,33.81539618536171,35.451664455815866,35.938683734051594,35.14516269718252,37.87364672927567,35.95413182704681,39.751824351505,38.238905766881956,32.34617569297792,35.4060938458424,38.30461870747342,33.96837362465565,32.30964455775527,36.008202293524,35.145057684447124,30.762310784197336,31.10963390932293,27.494144097140857,30.738899449113646,33.3721625381712,32.2431899122956,34.5757385743648,36.63166616886209,34.56001584864665,30.776421254608483,31.943959191885014,32.54219532812301,27.972926780211846,26.73180422667656,28.879766161359395,27.11667226532541,23.74624320751758,27.88167724269855,28.40519966533882,23.988184920001945,24.72377250935719,28.571639142414085,27.300360439173087,30.381967971914825,29.839884302186945,33.10480467932192,31.062653192809346,25.773669179442983,29.537263042311647,30.414920792493213,26.97913906227281,26.007197882269796,31.63940555691025,29.785544195693294,24.748113869229798,27.639164142217872,31.840174325537827,29.43666122587146,25.58417816070622,20.804480509821442,24.32105354577921,19.97719435718196,20.473898966177597,15.122313845023296,15.77297241116093,11.87085328182834,10.582325316997299,13.297592354724035,16.261845305625645,17.665080398326584,19.89268188755167,16.753316081892258,20.540636657989587,17.844402034273916,13.416129643351951,17.436846235026938,17.58892073953111,18.277696925713443,14.626001214345496,12.386844595361303,14.133129876429376,13.31363771733884,9.0416709293565,12.955177110595494,15.826452881721911,18.347011141402394,20.318603556871505,21.5876714174302],[5.964742909499992,4.542506390571391,6.3887519084696756,6.079469014774289,10.85164970363357,7.458024755769144,11.600193404044214,13.938928918134359,14.37826069502903,18.072676834478152,20.460512355279004,21.479296989710875,22.817666098542954,22.499277154915983,26.85799212997461,27.8681534622696,27.43752525768803,32.09932258549794,35.25006191196351,36.931979583746724,40.624747514949775,43.88147479944803,45.24862059301621,44.6533249140537,41.377775772216935,37.69144206974517,35.08820128714273,31.181106816303817,31.361875785304882,29.931747859137847,33.55040934024477,31.66367239293533,34.8539630751314,39.08871944404712,36.95376320813717,35.96567794653267,34.04915598615495,35.79556840156692,35.560066419117206,40.551534050439116,38.31900900870353,39.99360827989871,44.11449578756877,43.90581168768347,44.600423363334336,43.353664834606086,46.86263061619162,47.372548700121165,43.68579412254832,48.05215803323527,49.496422175536836,47.311170540817834,49.361722961091054,44.55792079440268,49.39888509197351,51.9088299156294,48.41011318501019,48.33776614052141,52.92739005149174,53.82620687065517,49.6377186758531,50.35599819787002,48.19625104403883,50.69895128871873,48.42568853148383,44.36555749674845,42.22692612264753,38.79053616600025,36.96920704436183,34.250970518336615,34.054238682841806,36.65071535485448,37.808708775901174,41.368976841295115,39.65266464692888,45.67882927898501,44.2009714957505,46.29632228816384,45.13201825616496,46.097513989331574,43.311304199023645,42.96886139462723,39.38675868478828,40.226295701938994,37.919083083262905,36.71072737904395,39.533475267321236,39.292097066532136,40.15666005041956,42.422393861727386,40.672725739262994,43.77552315511054,40.03222752598125,37.36661420719092,32.71709324873174,32.97080983294907,28.800644833857714,30.07769339668143,26.81007061159677,26.768050398557747,29.447292027486956,27.11028930254355,30.2276617368792,27.15458258522351,30.524338988222887,25.716098585858376,27.309550706621852,26.90174990460372,22.5206758066444,22.188543050800277,17.611873913843244,19.84284410403552,17.064443490347784,19.614219507609267,21.368620411094707,22.55779000261969,26.474735133679996,28.38414856386388,32.797740650609406,30.063852098674072,27.777052456684466,24.331510535159516,22.550673761337027,19.493195002989033,16.057830777779902,17.758638700860907,14.207382088095438,18.52181501830347,20.51090014780713,25.200831478664874,24.664009923269184,28.231322449939952,30.596786314267298,30.768772055058818,28.40548759895575,25.24929510412721,23.77927565006413,23.68796651338492,23.62089772210239,26.060122558711807,29.687041485727963,34.10245138798197,32.462328640499386,29.51007204976887,31.989141576715085,29.793738286259238,26.743377396121762,24.676992505546654,22.898298939812193,19.4326133133849,19.018944182337457,17.932995744315132,20.72954854950132,19.989335898075932,22.705841059216027,23.710405545639404,23.044226232678263,23.12029006961237,25.394868413593716,24.497982170501963,26.217870379563042,29.856428267257222,29.56596444565701,33.479041156891654,34.14965374057607,33.141344331209964,34.04895746556191,36.630415392685435,33.47905773859297,30.71043173806611,29.720653951967833,28.502604550072494,30.76799542278348,31.24663783267128,31.814948252238082,31.650444446419158,30.76562668964426,34.990052521796166,35.702876981363076,35.77555412986573,35.45881375020977,30.354841836904814,34.75827564334514,37.58402735490068,35.66301171391474,39.449687754155406,39.161815592918586,43.51709991001652,42.400402851719726,42.918939049326546,42.512914429091104,39.56671009426201,38.204481771682886,35.27815470922779,34.3431801277786,33.450263737203684,29.112156767578753,28.558462800197656,25.089952419095148,23.112496993097857,25.086198238746224,23.392787172619624,19.735045505428584,20.324341584931112,22.455486597981782,18.3874967324624,15.649346964529999,19.035469527424517,20.541961094841447,14.376762120195346,15.213014103833261,18.295095223519287,15.62933936184406,12.52219106086008,16.680161938115887,16.655699170895485,21.346761730798157,21.809199001394084,21.81896764599374,24.859049951268812,29.63272515033653,33.169620581238206,34.756983601533996,34.74567893412849,33.937761078466686,36.485213401538466,34.34122802653657,38.43381792551921,37.240620840543016,31.31992238088175,34.25242083229365,37.600657474131346,33.51185220756099,31.68195430571475,35.45418401427298,35.13667734147691,30.824491634645355,30.885365968458984,26.930114685684465,29.511751650094094,32.04230996280091,30.575853129565168,32.532227754032405,34.29719717471871,32.05527675255678,28.597706593897687,29.578947619349936,29.756723792341827,25.253777445676466,24.28841709927595,26.075923389437552,24.0598915874502,21.00587793474048,25.357483160988856,25.564918219873576,21.049538513206098,22.381060092265432,26.333717649288403,25.38553980334312,28.41610308018182,27.818736164731753,31.405723649282052,29.58601305944035,24.32517608274636,28.204664917828055,29.50357379238936,26.204374443811403,25.317505553710507,31.141702219856455,29.72271526703545,24.795459902187424,27.640132972484047,32.05081702936793,30.038024978866453,26.317192022444072,21.62294245057415,25.67969786612379,21.689382732658434,21.553930311960197,16.24588171358081,15.838808220551739,11.275977811449254,11.628758177674646,14.191061289480542,17.659871881510654,18.61747760822415,19.959731764489423,16.27564712220263,19.614228640303548,16.720431312353977,11.721951382416849,14.960240016552774,14.683933823928585,14.968062224966166,11.8441841775112,9.386992098985706,10.408595053999322,9.984112412999188,5.1751272316666626,9.08109009348193,12.03426233593214,14.567503113564714,16.62899762833289,17.94788388353206],[6.81180029736664,7.223581488838757,10.092834731045306,9.394185551928045,14.733272123248101,10.656408382051998,14.215508243478235,16.295848916076725,15.571358556959353,19.18026453180025,21.040474172855507,22.291016313208566,24.200579766678675,23.208074708473184,27.51962630324057,28.99549552347471,28.80136263295838,33.31381872845594,36.42587447090498,38.52171880856263,42.099367631448516,45.65603573757832,46.83482378433372,46.31957111370684,43.237018894288546,39.319143165530775,37.01879937008568,33.00217783373948,33.0624278010484,31.685518426123313,34.542685892705016,33.129717954410005,35.98765707510706,40.26518619311537,38.50427698970444,37.571131219596275,36.052417224728245,37.91641363646328,37.923706490302,43.23787581638046,40.82457368802708,42.09402931474146,46.33851319956681,46.262784645665946,46.892525532794046,45.86030163081088,49.36144724266172,49.8396568293634,46.4061674229175,50.923065886199055,52.382368449086705,50.17702849887567,52.101813124589555,47.252208986046064,52.10779968511811,54.440455788675735,50.78220623061224,50.66337706964718,55.21239110804139,56.08609773806589,51.64044571945667,52.05778248333094,49.692705923141006,52.081473543504835,50.04236023456484,46.00688528809104,43.40401699592474,39.89849079459171,37.71144654162594,34.75836467418508,34.38700494037589,36.60034704362566,38.01513269788019,41.872528925054084,40.39663929129687,46.460469074274904,45.46006105140436,47.51879373721316,46.716664469715155,47.99986900595274,45.468594944344176,45.48378708702829,41.99387849986136,43.152611009319195,40.79489201586505,39.2593763228184,41.743891403401506,41.38443547996002,41.85752194196167,43.84320026069232,41.76544803767098,44.492704648811426,40.62610191207079,37.99150824201557,33.36905787284243,33.14686971513836,29.004307715558404,30.89157165245997,27.837538039113852,27.917344869605863,31.135799116109435,29.36900938280759,32.64963408984432,30.090493833250285,33.872717226395125,29.242924218724568,31.08184902174966,30.889848180368233,26.571047079527222,25.97082029748846,21.415613559864557,23.248181211612287,19.956708972507688,22.354480594849257,23.321438112705074,24.491969809141604,28.164524120964952,30.084357423287294,34.07873706861693,31.23112187677757,28.730833647309332,25.352141070202055,23.82416874987653,21.08037599872033,18.00360285160362,20.582953534732102,17.755836275145928,22.107590097695496,24.36996208482846,29.015593242599333,28.676589239361434,32.33953868900414,34.56177210113664,34.63931238426995,32.160882412796205,28.775650334595966,27.427008273612856,26.803544556461837,26.248851300145503,28.808286935411243,32.02451142892445,36.36175218574731,34.55072271967392,31.82904012233615,34.418494527155744,32.05272814386583,29.085801856280128,27.050185434800138,25.621748556886985,21.86048400039683,21.80872193269246,19.919189879789755,22.753331027071336,21.05240865050322,23.738233759429473,25.3788488119027,24.87039871918119,25.584570601392674,27.666024722742687,27.511055381632115,29.28287905991494,32.50896594655284,32.37027954460598,36.327647895093406,37.26936429519375,36.184069536080926,37.452616352185814,39.984462616518336,36.975443509447054,33.99437811661158,33.19046333702741,31.729774706175856,34.081131394316465,34.506390385839325,34.87965756412434,34.69085043812973,33.357113465948196,37.76091348992287,38.63935994457679,38.95338716017072,38.77706972200021,33.84972651716775,38.453933904477466,41.31493659686351,39.25592880088903,42.764673977030135,42.16134592742972,46.67585434174457,45.424228722497546,46.255376411171,46.00089306890023,43.12364353324856,41.94367202626099,39.11273670022321,38.29874755437609,37.4937976194321,33.09930819189391,32.70943415792541,29.27656019976726,27.3346175645452,29.320943537339367,27.56964850726124,23.957410825848033,24.5271966419725,26.5457585186588,22.443426305129343,19.756009508681128,22.924028448927153,24.229153291774086,18.06344897704289,18.668258381026074,21.446646121294883,18.60283314691731,15.320583194345176,19.16600540096174,19.551949504514322,24.071899384125285,24.81858222935123,25.225262301226103,28.120739583313398,33.06899381629397,36.307270502617705,38.204453895298535,38.40255904401754,37.813730847727854,40.45663414346078,38.42595578321695,42.55418584184843,41.275089068866016,35.43441180855035,38.44364260150756,41.73480096643102,37.58838994430483,35.85109982868841,39.62946377290388,39.159597688095864,34.82364814919079,34.98730525430403,31.108895877198847,33.746522964341665,36.27723957684135,34.75055946383687,36.64884406070705,38.262516097553394,36.00465402129861,32.68988825184244,33.48454769958007,33.49053342969842,29.103544733853354,28.15721302527316,29.59728711147529,27.400070450694493,24.52182171298504,28.731308973243216,28.58281247046972,23.89380120945542,25.414307800234827,29.34707112434768,28.689051238295733,31.94446592789621,31.623257280281486,35.24018839810715,33.17611240165096,28.108040798166964,32.17740506395586,33.29130589642752,29.91721079846843,29.30759998075566,35.039547123252945,33.3397690382125,28.51155851767076,31.55635729990797,35.78622936965342,33.493708815204144,29.786107452901,25.03541927631962,28.671864649077513,24.40965036298748,24.30315546781461,19.1490562088158,19.37946298353141,14.994062797865238,14.807424825185313,17.696374483624943,20.90085366550712,22.225467146030432,23.924126290887802,20.424857147712085,23.811446526567124,20.77304849065704,15.968147575142984,19.029362487700443,18.484199435022116,18.38058307352271,15.71492803811965,13.202950314493066,13.3385957972659,13.037282959924571,7.842556633632868,10.398227477765465,12.832472680699903,15.641131134337183,17.28651433202909,18.58541706702339],[6.734005927170405,8.530191584517658,10.36009029981247,12.83090227720431,16.812314187154524,12.389345205379529,16.068830297958222,16.697682292933095,16.850118416125234,21.262444561350666,22.708155381426494,22.841193722759453,25.686585303502365,25.592895662593794,29.27463746231055,30.441337721048107,31.020228231748458,35.60293438996404,39.3332879493382,40.9693304561601,44.84318895728757,48.21259904329252,49.774556539729545,49.56614130070298,46.231367151765255,42.44592013539474,39.77738172228017,35.656745323442635,35.12318355580441,33.04994872045031,35.9484344636897,33.736242990254766,36.267317605192595,40.84877634653281,39.27994052412129,38.972761089129484,36.91840999763835,39.61130571271617,39.86343605763136,44.80009860460678,43.1565535957087,44.47976158769604,48.54819147497856,48.7951367021283,49.82515677062982,48.84385989967496,52.438163680911494,52.57308931657899,48.88553107484088,53.42092032536498,54.504420460093506,52.12072453428651,53.85703580529231,48.98073985116453,53.376358000417255,56.050863278658206,52.561500646647154,52.022947538894755,56.57077005811106,57.91833029659851,53.61678938675031,53.85861118400335,51.35047522214255,54.23407205411707,52.319441571580946,48.07617708439391,45.96277412377078,42.15988199939865,40.54828347086876,37.300262925989145,37.40798297053539,39.72503643875112,40.572971202210155,44.50715159287126,42.42590384072438,48.200860317363876,47.146152427027246,48.70213336813924,47.88521916172853,49.245713140044025,46.28738598506071,46.44449816975859,42.40513976721258,43.7771286431423,41.95820450238812,40.284404612188375,43.148942395963665,42.15537714676341,43.289096687967586,44.676356880194426,43.03158867050831,45.7784182725511,41.804501094404095,38.79051878227526,34.377365222573744,34.07863611250874,30.222774073745466,31.214872301125535,27.871032749396395,26.762109923810335,30.74375773849502,28.259103354056222,32.34848916525905,29.393119003207126,33.435456606290764,29.013031963734022,30.26612840900651,30.56999941046898,26.381421037649186,25.353306755344327,21.395827318150452,24.0512106598501,21.221612131381598,24.499532758381953,25.823208777986018,27.671049041234376,31.24981778150274,33.70468647972018,37.56394593453487,34.257013636981505,32.20261816542812,28.67338826971683,27.730333466128872,24.624897766970516,21.076320694142883,23.38790966266443,19.39548117589499,23.65250237330375,25.363753273839837,29.622015933629363,29.753193858280035,32.78301902560304,35.58142196630927,35.14074515673202,33.6057689215746,30.559078723138516,29.678671305249924,29.726679159022083,29.737677619983454,31.763349934724616,35.710256466944756,39.87821416557415,37.80943304485819,34.82421825990487,36.98503827516112,34.216308625233076,31.420324716957193,28.74017190461304,26.73113273346182,22.758736236561212,21.52538487085242,19.269346073459378,20.860940286875536,18.49930357671451,22.072166151957592,24.123717258822015,24.57700614404391,25.025291675966844,27.984700498858707,27.762491587346066,30.579816478319874,33.97613895936237,34.62298751324829,38.139607010466946,39.387131160103266,38.9625261725465,39.742913763879955,42.623495680970294,39.53741327334525,36.857886712020345,35.573338436722075,34.18484871115,35.85780075108324,35.79963189212999,35.82720528362199,34.975821228349716,33.86845116828415,37.64739474181704,39.19705526507028,39.18418050723513,39.70585548769785,34.344171785699956,39.08795616730008,42.18544876951001,40.54123416401714,44.260804557552646,43.93773585179219,48.54501287940919,47.93790248252048,48.3320003344756,48.064414898641914,44.89943930896815,43.64633009802979,40.67991462586715,39.63233580330544,38.73356848067576,34.61396355499475,33.526253513114405,29.94644911485112,27.469734218795793,28.801934261997445,26.45200852218863,23.423363817935783,24.1190912143039,25.150526270020844,20.80321319532914,19.366432693857043,21.601383628136336,21.629988285326274,15.875822717685907,16.77081298884043,18.626655360200747,15.10227567680124,12.702290363384721,16.536531186067243,17.894682445755457,21.469419964425786,24.046391039649006,23.9355562756765,26.096642302406135,31.33008309355998,34.12874908024065,36.31397276111401,36.20396823591882,35.991481586732,38.61407582086011,36.73715975632065,41.19239458568232,40.01861156909001,34.49659861277987,37.62708177508019,41.243832657427106,37.3565228226134,35.80748861255635,39.8234885629284,39.67557365914621,35.46483317353522,35.94737233141243,31.430691681033124,33.650322271795226,35.74276640073681,33.480529616242734,35.09022642672294,35.98192522252035,33.990987638132275,31.118812527630205,31.03755075621283,30.709974395873278,26.813304139305586,25.69234703691811,26.26580942897066,23.81729888361724,21.305559494080473,25.20007239200747,24.432175744128795,19.62489919679855,21.63285104252727,25.500827480624057,25.482149093436107,28.9233627049626,29.059241347712526,32.89964748599267,30.667437063094994,26.097809411415994,30.558010741611106,31.75361740839088,28.516080032738945,28.617388719820692,34.25678720964786,32.71127506568122,28.383643277264248,31.76923210274002,35.8119436878144,33.71684314077445,30.378699659640297,25.83127508030562,29.70790138578281,25.883484733806704,24.640083723884143,19.997967537100553,19.413964636790904,14.840516930390221,16.276194756979173,19.25349934045087,22.777656681102446,24.06297925898404,24.73616680729021,21.489509876172008,24.55449225857199,21.987550097633004,16.20813762119246,18.094877433893366,16.378124015601166,16.712733725503554,15.241013947231128,11.667365115561763,10.632277204078978,12.61445054075635,6.311438240330892,6.819080809740474,9.734308866210409,12.673363077973454,13.983983853294962,14.7980620021449],[9.23750321349096,12.032431472151833,14.24228308265978,17.069100383284226,21.49100934468247,17.135273604684823,20.70544928603479,21.148423197111423,20.85322255267254,25.219854112771454,26.257113739435713,26.322442398196316,29.664263822738903,29.28349481091233,32.78463458025963,34.19640958600734,35.03880336075212,39.51032190738976,43.27204176251416,45.104026304604595,48.93028564864548,52.449926026342546,53.93811019315652,53.79387057581597,50.55567124596299,46.65828656766407,44.13090781264123,39.9539191446515,39.295067010286864,37.1574637208726,39.54776939479263,37.49997191194258,39.68711454763036,44.343925192175575,43.094174754593304,42.959786820851626,41.04968593199799,43.94782533871977,44.354613353454006,49.385559065782296,47.747016287874246,48.883178189797924,52.99056764992527,53.33344208009918,54.34883433240579,53.44503571041704,57.03996632728731,57.17176439019964,53.56522595574104,58.15684576113665,59.2310647143031,56.8156888428238,58.480871308597834,53.587954995047,57.91311614913584,60.555977842367604,57.021267847056876,56.383003418067425,60.89743645925232,62.31702786288787,57.90057413235548,57.9283955153561,55.2664087601652,58.15591432908703,56.41764846633059,52.16743007545881,49.83499589992979,45.95748708834337,44.18710552453735,40.75065373679017,40.796980008894835,42.816983488736334,43.77228231990088,47.92124405300254,45.92420732464631,51.63163404679213,50.92110795164092,52.33272826187986,51.768215008449005,53.345594411942,50.45636876835188,50.8431246633699,46.74147883128767,48.307417665033505,46.56838061533957,44.72853838664176,47.47722789936668,46.29156852462854,47.32212051703883,48.38312226344463,46.61876083443009,49.06844075085895,45.00146652087281,41.9417151397581,37.65299894748964,36.95988940374228,33.25699771138355,34.4759478534059,31.266160701732826,29.902666971600734,34.4275462715615,32.11558216846145,36.473475289371066,33.68882113965453,37.928334320914196,33.620410036523104,34.75232412915089,35.17152541243036,31.012642673863557,29.92713880871393,26.115402077761686,28.816903856056058,25.90220911635056,29.17127970781633,30.19997613616622,32.051065079358025,35.51204661531356,37.96715569971333,41.60398443867942,38.22133887525318,36.07517973656049,32.600172099543194,31.7924312210546,28.854822040219975,25.47061849040183,28.05979067699242,24.199564531260457,28.482526991769717,30.174775156438905,34.398717037524946,34.49649453979958,37.44531378807102,40.3396294493873,39.88616319854718,38.426364307691905,35.388899504329935,34.43350292126441,34.439096617768854,34.307183765106686,36.428333338859666,40.19970342454633,44.374751545238894,42.25120296754183,39.36095712519914,41.558059801830574,38.69180384871863,35.9526175557952,33.235709905689774,31.315482557796877,27.21963378936813,25.95639566806504,23.28715758072855,24.489060270557953,21.343929249671643,25.078650583207345,27.657421503584736,28.473674182434323,29.195820239151775,32.220502353132424,32.32043568579459,35.294770026135026,38.55108878835302,39.3204094056642,42.82506464529726,44.17219234564845,43.715410627713574,44.55578896759153,47.3922933845325,44.27314252999781,41.57893275963436,40.361206501779016,38.97176587750674,40.670026018640776,40.5644858648714,40.48791761034207,39.51203565435425,38.25846653198492,41.96187983029327,43.730815334746495,43.744257800305896,44.43578345197202,39.06086160476979,43.846871333363836,46.97288884857935,45.362111020681624,49.05689354643293,48.67075321650818,53.33172233752592,52.70458040321658,53.15553465846585,52.895051763688784,49.72439421035358,48.45435786151221,45.466579937778384,44.36685968353972,43.35648119979324,39.23696302668076,38.0638068747555,34.349073679549406,31.97528778685647,32.958734464007506,30.626146003697198,27.817957823581118,28.18373057512008,28.900760333823545,24.711588652578858,23.287641425292612,25.015152486452614,24.796548670030212,19.333553488361748,19.748840122709485,21.043471347142482,17.68004691781036,15.208842429131916,18.18831438787441,20.070135943537544,23.104595434330996,26.250909872993525,26.550623129534223,28.337160486414785,33.72597310959516,35.95898511937534,38.616640509800405,38.81833403686471,39.02978091128142,41.82993787322596,40.29544376111266,44.78020805618004,43.390172377529815,38.149818641099955,41.49810075018395,44.98712101562956,41.05408236786929,39.79288266761416,43.926248685173384,43.52501066104209,39.320367513363735,40.24297114610833,35.58145852064827,38.020065569408146,39.928876038712026,37.401499018165374,39.054121299239085,39.59449458422932,37.884732578290745,35.151266164524756,34.54734453590928,34.20382518974372,30.652079737389077,29.257257819963353,29.334993225454873,26.846937015529637,24.484642560379,27.843838119859967,26.681550038362406,21.914802701983046,23.811379500663516,27.43446983784289,27.809731392032468,31.525933913268545,32.19229529147608,35.93592056276586,33.271394169055284,29.1748135642208,33.90211437835138,34.72435810862505,31.444079686562326,32.117314555707416,37.50321952071782,35.56771122404462,31.572200243415946,35.33199929007934,38.993767902680354,36.577632315615176,33.41969100693536,28.926841811038646,32.32357825641929,28.417407007169732,26.835371885333988,22.669530156311218,22.60408263448627,18.40136863978939,19.546912724610426,22.814353632380733,26.10519394429458,27.815840611250415,28.61320976570792,25.85106858060334,29.083303705390637,26.717666666962273,20.75180564705119,22.56331448235513,20.470067159876212,21.08996006635827,19.93170758706047,16.05449695887048,14.794676972953821,17.27632640455844,11.100138918971574,10.705824482206348,12.96490817470338,15.723752353456565,16.38727462249853,16.75885086783528],[11.722135391968234,13.878538002878274,16.185008002400586,17.398221072684958,21.775626052054804,16.52498843035664,19.432558794375144,19.642568898303413,18.431381472252028,22.588138969847257,23.176768047903767,23.385166844606605,27.043868848782314,26.275169434366976,29.58962467974529,31.284833395595896,32.34829199539332,36.64375885252234,40.43725538400478,42.4924276632801,46.242772191984535,49.95742432390111,51.35290210718016,51.370386647375625,48.26007073682888,44.21909243948582,41.89480354747711,37.638711749387646,36.790008379409635,34.68353235461737,36.45805816408299,34.81368234935768,36.757732000746955,41.367959174753054,40.397648171539124,40.29324790160184,38.74765563586647,41.73019301408129,42.39299210799445,47.69477997646908,45.97358568193005,46.69051750636543,50.8660872721785,51.41269011165495,52.46530097947527,51.832067122846524,55.45626909310908,55.42741525392901,52.049401039268744,56.84389550477192,57.83106290640897,55.35406394511661,56.8341386564426,51.9063310860061,56.1934341837947,58.64487882883451,54.98249282173537,54.272084786977295,58.71957751999871,60.135753631417536,55.501322853627386,55.245741859735475,52.42235860247931,55.24092485018777,53.71693361196848,49.48952725950322,46.868739280058044,42.932812549052464,41.01287760642546,37.41141292573494,37.43643472767837,39.230925472591316,40.214517450151625,44.51688754176216,42.62287808463184,48.293978354369735,47.92220581659094,49.29444342927438,49.01274334109823,50.84676185233114,48.21835117114171,48.945831583158984,45.001632035696346,46.89168039161579,45.091999652876225,42.90600547940166,45.30082119237152,44.026971125003286,44.69372142143193,45.53743154051107,43.5268073619482,45.6999760520259,41.589264442395326,38.59516838765564,34.361597488774784,33.38662192152678,29.74748784175382,31.383076298172373,28.411108407071353,27.398402476914693,32.09621163459634,30.49509808514434,34.74906728184402,32.62382989061119,37.25340789013609,33.18803890412015,34.86127980488662,35.54919541561508,31.52353420330329,30.030106572904778,26.131590708644616,28.13619886044269,24.686043036072153,27.81318326845175,28.13709234586366,30.104949095693367,33.25480079376914,35.87164708110782,39.037032682593065,35.47731448997962,33.33508593189598,29.93403109115501,29.56002249315086,26.80594012206215,23.66935253702887,26.978230649296368,23.79636382241641,28.088302094105554,30.190146245637283,34.31473790024807,34.91894996842223,38.06862465318396,40.63646327105783,39.90732609921457,38.31950328847848,34.93099924830214,34.43164133825471,33.773800682364275,33.245814571948,35.21650155231948,38.81069424150529,42.7589169993518,40.34253327403316,37.63126417661794,39.80041600556058,36.711011566984375,34.11716857248566,31.38658317531446,29.82132843010529,25.52935558587527,24.781302758506303,21.52099625954654,23.085399984386893,19.49514050498783,22.7511936617258,25.641061354231482,26.351225210575723,27.681655422139496,30.322676716794568,31.176784596267527,34.12924203767156,36.89958051215171,37.93536211967654,41.38870090240883,43.1523641096875,42.81625201523667,44.05849170875849,47.01256367831599,44.18508167072299,41.20049825356057,40.04587590168403,38.23683154313233,39.85704310945656,39.60818804177122,39.27285045827355,38.317386566671445,36.56613006731385,40.50620224779413,42.36040385623513,42.69763717309594,43.53318063185295,38.43719997980602,43.522276117739935,46.718613154812736,44.90059316534732,48.16446209334277,47.382818958667535,52.26699208513305,51.628002029073166,52.43238985036157,52.45278197913928,49.303858820025624,48.41643622459457,45.61457589640177,44.789533227175866,44.1395498780941,39.974503341697606,39.11196955959185,35.69547626726981,33.08476451873696,34.682051071721155,32.14244157100371,29.09462102982734,30.09807311998398,31.103718580992044,26.65047915366102,25.40360887385173,27.654101817099765,27.409848695659992,21.831336772909946,22.73620469069148,24.33192587923165,20.658630211720986,18.433096399952273,21.9306788255176,23.565315925508337,26.89197121429104,29.722524003768296,29.8351450641943,31.84741232382587,37.1597510758097,39.69058282752711,42.094737942206415,42.009135809697106,41.91413604524035,44.49812464853902,42.56981554338678,47.10465558088314,46.02183379202136,40.51461003068316,43.569948196308644,47.278013933811344,43.4144751620535,41.796448082854496,45.751212386792375,45.666362382595246,41.440066755341704,41.73072217134629,37.35833860677566,39.361495338393425,41.530354246657296,39.274992918487705,40.63452066633957,41.369270775385765,39.176357343630045,36.617995050348085,36.50250322917377,35.76783777138702,32.009660335423916,31.222746332083616,31.39211915717243,28.711966797984957,26.6745607009606,30.470577328917457,29.239691690339754,24.463806141119584,26.87950229514598,30.62141170981345,30.986730452307818,34.48044069441325,34.74498306191163,38.674359920614734,36.41415995348674,32.02739673750755,36.528758368189116,37.736389381846436,34.50992192342315,34.69394615837992,40.31681518794874,38.686271268212074,34.38983630313654,37.79991367337001,41.81676825870651,39.58798647740581,36.2241499234651,31.618102723422954,35.24288965952324,31.194740945965147,30.09663652523287,25.513220308256496,25.333529296012795,20.812564716189357,21.788540872272137,24.88583775097006,28.275205494539417,29.680510775426743,30.65152150498815,27.20704709933825,30.178648839976365,27.209971793646673,21.869389903333662,23.54298978749835,21.83434666664182,21.269479375736065,20.308139787038154,17.31170181530096,15.397021740647304,16.756257482591828,11.4605564038401,10.582565852419807,11.704616811234292,14.371784117613036,14.874928100359446,15.67692293714779],[10.412942840701046,11.933994639995474,14.45461971238091,14.457456232794662,19.106351384953232,13.866682210112211,16.727456629061614,17.56313803937037,16.080458499880237,19.981549249172396,20.896281178688096,21.640841298513415,24.744702480433048,23.67409825229597,27.36776111077597,29.123411475188025,29.76248331581524,34.09540153230036,37.63105054495787,39.81983648749774,43.47353032621624,47.222613020659395,48.485884964132005,48.349102696236635,45.303224187637205,41.23525026711379,39.01026782058914,34.80232700980387,34.244972741696486,32.4497341948342,34.411950888336804,33.04413002375975,35.284334015224964,39.75372840030347,38.56421360990919,38.11859299562272,36.74091537723929,39.302359563821206,39.80528773467871,45.2443581414837,43.19422136450116,43.959020810797256,48.20487078938179,48.580816583770776,49.47114908874561,48.77872409569814,52.377048950123815,52.498556257069644,49.179676597427374,53.95081384507074,55.101746963692776,52.70915874770821,54.30094716952162,49.388709604128486,53.90257952775511,56.225648523240906,52.50618125735396,52.01316942605337,56.48236804118664,57.66921434065254,53.01052729409636,52.91502909796301,50.208818827698046,52.817009619100865,51.16571891588743,47.01948473517216,44.262047141692584,40.4686641568132,38.349878755373354,34.92698802036681,34.76525728488332,36.63655012122342,37.835611436404186,42.04532993485125,40.37538065977943,46.22372630579541,45.73852214460699,47.392893066876425,47.01426994986242,48.732664824762416,46.25073671868522,46.82645107731567,43.12848985798675,44.85404962313951,42.792576658719604,40.72508507049879,43.011231190700265,42.08019195025492,42.506536369161545,43.744458208125174,41.584783164284296,43.878055236583,39.83434218349323,37.01258031376091,32.60727542593064,31.820595143863272,27.953554848503174,29.9189972986026,26.99548979162084,26.612355197366192,30.77762021247701,29.39899357112763,33.22313427451289,31.180588404272253,35.637204369280994,31.427069095480718,33.382448537523395,33.82375209767367,29.725892019516152,28.421511550837284,24.219359202233054,25.880160562500514,22.242101181217144,25.035482446990766,25.290998138910556,27.000618505176362,30.233132727779644,32.6455783315203,35.94567622345603,32.58770860559106,30.278459434069156,26.898877137133194,26.255779286744424,23.582802603675677,20.57241543753321,23.955815088279632,21.205471504979105,25.526920914147368,27.86088233365016,32.1562005964869,32.58999424470487,36.018237388397786,38.32648460318767,37.8114186968403,35.81723245781708,32.28389401706444,31.636055283419996,30.71649601403278,30.002043057891004,32.14198912742632,35.50483554312237,39.5205401492052,37.21856000486294,34.57872258469234,36.915924076070326,34.01587252396406,31.323619820472558,28.859061506434994,27.499664153063904,23.305380519023377,23.06093778782604,20.073518627122848,22.354624862767867,19.370428824947098,22.204083724905725,24.709308698451714,24.855404164866123,26.20168694916169,28.46303920716033,29.230689399642642,31.706859814270107,34.46313919339308,35.136552357293255,38.78216013809592,40.393857854746166,39.795010584274344,41.21895546083494,44.047998989859856,41.265674574497005,38.165645891250165,37.180067031705946,35.336167225884594,37.22091679078395,37.184816659975645,37.029603684765796,36.39399044309115,34.59923905332463,38.84722903041166,40.33773686151191,40.79981198625461,41.28286915523526,36.3550789044552,41.37378893763362,44.46526008795856,42.4657414692182,45.65691930367477,44.78392269760489,49.61340655596749,48.71213594672135,49.676325753218265,49.69572494128905,46.66650718560787,45.81455414560972,43.07399280878337,42.35850368877041,41.784112040667495,37.51829226235299,36.95608716697459,33.64154244037909,31.20344422485421,33.16770189296666,30.856593780003013,27.500934192260825,28.561672552339356,30.05072698980281,25.626669199454224,23.894300065637626,26.659320893368633,26.995058908120484,21.113936092886856,22.057840053092477,24.195431738684267,20.7068980971246,18.111129032002076,21.92175736115674,23.045491777946204,26.935266242840953,28.90045652288529,29.081245151419044,31.505723454452497,36.67966839741587,39.57935423325238,41.724072341423614,41.668321043976185,41.28384015835681,43.83053493925838,41.73112888348597,46.128208887252185,45.06463800127111,39.331813126521695,42.27636257955524,45.89419370752437,41.93932021232563,40.1556733951959,43.97776540656499,43.84735125196005,39.572814462897774,39.59740670078547,35.52030464380514,37.62066917642974,40.0249289190462,38.14543854212063,39.621375392132,40.77421022958913,38.38435433916989,35.57870788055633,35.98868904627881,35.41613351146018,31.32213637158398,30.671575249588315,31.373724592305834,28.80805783409483,26.52333232860111,30.644198433986244,29.814242960887906,25.024717058859217,27.258962820274245,31.142262155002076,31.104622417781016,34.46132299751832,34.37432903516721,38.25321039806606,36.18354264130741,31.425783498026885,35.7065252972311,36.99853947274002,33.7202178639554,33.449736227160365,39.19735731177525,37.62730114472958,33.027253905342384,36.191111701993506,40.40253747334821,38.19969759489205,34.63717221734363,29.938248434353287,33.62664664539012,29.446041797902115,28.86804683378426,23.9474695339054,23.897232028737015,19.31712404517389,19.823859651242707,22.79231682960814,26.134192503378213,27.413707842967426,28.71869559588615,25.02511723536083,28.055904596754125,24.833231810319266,19.926662188015683,22.063297640358865,20.918003097176896,20.09762544551913,18.5546056102785,16.035445776144034,14.623632211720224,14.92343982343628,9.88866036708104,10.123865148964686,11.457057055163308,14.247906638952468,15.255019861635143,16.46955071237608],[12.948131384619769,14.72600619218173,17.61617179566297,17.186419947134013,22.266054473299057,17.15705878731294,19.77506487756246,20.769350551177176,18.68050795990136,22.157779170779673,22.75785894164588,23.813054517012795,27.006859857005193,25.370612165291984,29.01374306939301,31.100203031434415,31.73611991318077,35.86645417888133,39.19391928324953,41.72053938346047,45.19442074500519,49.142582603877784,50.192600269516916,50.04296478379423,47.20456991983721,43.00269378817993,41.07157025754353,36.876409328170794,36.37362987278194,34.77355154950582,36.181386512367126,35.30238547990089,37.32241720480755,41.70149862137948,40.75858857258864,40.24845410988896,39.23792127779091,41.688737900539024,42.28116735436841,47.93232168552361,45.63918604046614,46.1494216469344,50.472969635179005,50.85966792079903,51.616549716656756,51.03224989780849,54.58984786623267,54.77718163705504,51.666711176046476,56.49081369062495,57.73071505474885,55.37590695050276,56.92862214516493,52.023445402730474,56.60878015869057,58.74818867496276,54.92138861122249,54.48130605046519,58.89576817242855,59.97137932662849,55.14769190212682,54.884681678212615,52.08419098748345,54.499238191884594,53.00132327192767,48.947233456022715,45.80419637431594,42.06685184497846,39.60673708651616,36.125402261159465,35.743429941910605,37.25341645071924,38.740971056954805,43.104069739224606,41.75120518869051,47.60008638352045,47.484152965927365,49.18119538102773,49.066130878894,50.97130588491109,48.74935112627342,49.51642217957825,45.99501921287298,47.85027371865318,45.676753755891575,43.47129326869041,45.468029208456905,44.58525808844474,44.63859769193885,45.773416900063786,43.3332257103827,45.31051584958537,41.24722910007159,38.55926765881889,34.23132346010978,33.10178722378563,29.32079469918987,31.83815384384605,29.195351953960806,29.077368038079616,33.382397002679554,32.472140175455436,36.205637703469364,34.51195797799058,39.07589747153542,34.929816081685196,37.04160558116833,37.46323439629636,33.36174299209754,32.07707878594786,27.808198142118595,29.204700200655378,25.355051629373065,27.851953101590063,27.659495759222622,29.167807212929468,32.21720921952948,34.46747881800099,37.482254173619204,34.21111633326089,31.71723154650591,28.505844192695353,27.90598612981803,25.575175037691128,22.953996916410244,26.66589923047224,24.440837174823535,28.749377365348533,31.24972699855779,35.59809667573862,35.960878511316956,39.53349212556093,41.6949501883853,41.2705890262827,39.048740502465485,35.38684588656367,34.64192886067145,33.40222499600582,32.357781216885165,34.66388028286691,37.60613645912199,41.5873850679241,39.28072719445867,36.85973521289271,39.3258137851243,36.45495561398457,33.81051526291273,31.53497014526709,30.479682035042167,26.27444385205168,26.392303186174477,23.1875007635888,25.57391075289958,22.236231482570346,24.818191491617583,27.57867373518106,27.675131146661542,29.365617222669062,31.34403213471593,32.47031781087922,34.747166320676406,37.245664309486166,37.82299091952645,41.55277622541708,43.21716928972786,42.42327697836776,44.1083946938167,46.80924826756592,44.098536558506396,40.864217598198714,40.082962588739335,38.15195069345474,40.22132827162859,40.26541645800456,40.09045475462361,39.56766683352072,37.5238951949982,41.927879221696344,43.38082855933661,44.0177231137275,44.43756832459805,39.69192657710419,44.739859188477446,47.788871739775296,45.65807231272035,48.675969812685324,47.597789837250325,52.46306715010298,51.3508062351791,52.55973833290272,52.64313646283355,49.71858209421128,48.946763449118386,46.27129475548551,45.63722843260815,45.079381932201436,40.7336896599826,40.3515399048058,37.030926383246104,34.75808386392909,36.75807725179217,34.57093814379351,31.15770207649266,32.06795075161539,33.654702287978985,29.30827485606665,27.300651713700184,30.067320602291947,30.566560403726424,24.642568142232058,25.329707772159963,27.43819785850073,24.094545968415705,21.24473590216784,24.744533963962713,25.907433178773235,29.79413433825355,31.59311608458823,32.12005091183092,34.56071945157766,39.7723711422333,42.51160228144576,44.83466251946961,45.013670345393066,44.73836551775876,47.38179253807833,45.38476028569981,49.73372190748794,48.547223218506446,42.84049614563408,45.85658870778556,49.345104611413305,45.290565819933164,43.579518480430984,47.39226321952104,47.05670585362125,42.741939441343646,42.86644933397804,38.90550584797665,41.19800585904004,43.64944610064866,41.83345752284303,43.3803128892547,44.54806498693998,42.17982545053264,39.34656858083107,39.738578925069525,39.19374142235365,35.121877413884086,34.41493576337624,35.07293440639907,32.502376313312425,30.206189737056178,34.20732998729032,33.30423351719466,28.501135355268303,30.633063648135906,34.45872033775741,34.471122932025146,37.94209856346934,37.993352516065805,41.80902982786842,39.56549697684851,34.87783923902797,39.22202070723091,40.32723131860748,36.973321318297174,36.79643224457938,42.47408365973314,40.66038323196252,36.07181449786584,39.33819658474079,43.42435710776532,40.98841993094945,37.40154508943403,32.661597503992716,36.01475192855942,31.6479075344917,31.23508098599579,26.417309400246257,26.850050153610148,22.452867669270653,22.441827077134832,25.538289606773066,28.66078559959905,30.17574163777719,31.83473268636136,28.29274126840249,31.46961973338368,28.191659515726204,23.44421914598655,25.790272889864088,24.69925125138088,23.84840769586264,22.24268762684853,19.75713666829,18.41873562343141,18.545336292274655,13.649853595524927,13.82317351219706,14.81597489925093,17.460691184689544,18.14537671922877,19.259246216876395],[15.806189074606776,16.789037714817628,19.444488698189517,17.46119527057594,22.10698183187997,16.623603801205896,18.304562114358397,19.28624574557984,16.267375777559888,19.100161251172175,19.34932467047305,20.84966606050015,23.926188295384186,21.75034092611548,25.312188869118796,27.675702410440778,28.2986740586033,32.19625385201717,35.394264839069095,38.16054767690867,41.487543752258524,45.59348398525012,46.503274754462375,46.44754472440137,43.770817546032895,39.46638620893528,37.78769947543479,33.59815394500421,33.04939330917704,31.66003010686755,32.54388727458736,32.21188280810072,34.12353410649259,38.31859167177827,37.530099151109944,36.88567592512827,36.31035485930476,38.604378700532926,39.356444909245674,45.23751653932012,42.768830837858744,42.90436410750138,47.27421062436606,47.77805070524549,48.50820007326062,48.161460448348166,51.705229474931386,51.788298733505336,48.93487506231165,53.89143315637086,55.094118777009136,52.73493855768562,54.14975430422194,49.263601704497404,53.86421132851829,55.76543639713794,51.82974964448452,51.42058429408951,55.75005946006068,56.72150620432735,51.7311784037158,51.289136344851414,48.419616309375854,50.66331212757371,49.30984753467568,45.3413165518318,41.904938457531046,38.210076089579715,35.54261386918901,32.02044938317237,31.532074638072814,32.85592259318226,34.45889772424533,38.888880088667776,37.74544915204199,43.60294367322668,43.73379519160935,45.51759671749765,45.605287648793656,47.66591874740152,45.76362334774895,46.75757829536097,43.52904194875098,45.57551062710823,43.26684534489935,40.83052281917504,42.4313824846797,41.63651553800675,41.24866751014986,42.36630321500921,39.656454729411095,41.42939245854625,37.39848957324122,34.89625490255324,30.590110862941046,29.31224376674911,25.53029391899078,28.60521302836398,26.29614078141837,26.869407521224595,30.90562198120113,30.77079387443936,34.09856438780423,33.068143993594546,37.78361097351627,33.88647427322608,36.51681907326227,37.067387329465085,33.16255885192201,31.63713559549052,27.343100267245156,27.935204921039166,23.68373277346805,25.785209626684363,24.855070688089704,26.322200801794192,29.006834149374168,31.29806542872582,33.84856226427658,30.528106632621135,28.005336191911223,24.946532870388072,24.71409816958287,22.691115845511526,20.517644237213684,24.828844436307527,23.53107837539496,27.648246315100753,30.506097032587604,34.69270333437675,35.447478467903856,39.199580609556044,40.94550461177495,40.35107153758822,37.92604949365439,33.98058593466005,33.64229752743805,31.72906619066174,30.27145705011179,32.41602536558201,35.057584148497234,38.77207271337218,36.24980459630824,34.06787718010339,36.523549477084636,33.567502669278774,31.081159236304433,28.96959355675864,28.38166040107287,24.20251472508225,25.03031294751117,21.59824457291582,24.524953418450533,21.321932197097595,23.09011509824362,25.793334943955273,25.49266124680054,27.68113113222772,29.05443670904767,30.795129356768474,32.78482341244058,34.764636497475564,35.43480323712208,39.11930227642483,41.08527940332231,40.337952393935254,42.4266218735743,45.165255201934634,42.7852023844882,39.30382419697532,38.63888895262542,36.33875709376089,38.37911686341016,38.36850170396373,38.033029776005435,37.67430017442065,35.20740542083607,39.87448832890161,41.21636688701244,42.18229746840975,42.57854732538527,38.238328559249474,43.43191990208947,46.459617728638605,44.112320134941776,46.6719035281616,45.21681239931254,50.206924339525884,49.011100641344576,50.57954336063344,50.92186130600205,48.08762320668075,47.68998009399896,45.242435888902335,44.9052595223984,44.71028520738243,40.373710786736126,40.35751388752511,37.404625835209636,35.015523507099815,37.604233645339136,35.35157463113281,31.739766144597766,33.1873288675814,35.098201666876975,30.649679976112054,28.74784463965151,31.98037188105019,32.579727478719136,26.65192398084332,27.72366092743991,30.131280217768506,26.65985374330249,24.021274812286173,27.920284394212594,28.778828851902013,32.93803980830592,34.31962441340071,34.62754920106794,37.30994126509201,42.36559564448984,45.45688460936046,47.44979702604698,47.3572358970711,46.726105147291676,49.13983498027212,46.764931799025426,51.07353683996429,50.183142598163094,44.23990353362333,46.92438872714131,50.55191054144078,46.59173627523309,44.533254806183855,48.10041170491441,48.067464749226346,43.78230932206372,43.24646708029175,39.684201291983186,41.561606324247464,44.26993882558842,42.82749860269406,44.13837467525567,45.596217526352,42.794095453648715,40.065945434480504,41.02978802742152,40.2387854409307,35.95923920176655,35.794454458898755,36.69398458645393,34.068995700147205,31.97863529080252,36.34713208408873,35.5464069750564,30.809422537363186,33.23186924044198,37.15376187143618,37.03129218825209,40.236534852016504,39.844525979274586,43.75596977876105,41.943851899016884,36.96519541634635,40.9928832283842,42.454838259378214,39.184501612506565,38.46983475677929,44.312807315344365,42.84117696134214,37.98199609690128,40.81212082304062,45.224333805777356,43.03623823783217,39.2787150559965,34.519857363650374,38.09501035501817,33.71181687654754,33.78932031261347,28.654099715458678,28.90006359039961,24.372681358222007,24.232913751761078,26.987299693530563,30.112883557408157,31.23188806926469,33.01628617888329,28.909585003439133,31.748275415133715,27.98245491689052,24.128188467341868,26.36701380749605,25.79854240384225,23.992145589009507,22.437582737373337,20.95911383060496,19.405053612609077,18.271297969078987,14.784655012943322,14.944212910457095,15.102825684139692,17.41005742541085,18.142281574795472,19.676308513998453],[13.768268872950179,14.225638815479932,16.733956055177366,14.260247523982803,18.84594806801843,13.490899878200816,15.29261743521057,16.701800038778934,13.951409628402363,16.876706017747466,17.673351890072826,19.354647449688276,21.919057454026284,19.924989333394457,23.86816803563761,26.018222449050317,26.289915024228346,30.392248662368775,33.53264340825917,36.1563482184687,39.54844527895953,43.53025448613689,44.49469856144941,44.3008739203609,41.51305647540925,37.28403631398668,35.45358450284026,31.290255955052665,30.95945178258749,29.662944546940984,31.143690357311637,30.61508365630407,32.9056940427142,37.07845057879939,35.94004032068319,35.09915261364536,34.34102771573373,36.401493089782,36.93966815637654,42.75008210931204,40.20630635975572,40.61190265233179,44.98076284700688,45.31709513653559,46.002835555645305,45.499961088975894,49.042270365834106,49.22694907329141,46.25281877338131,51.1317139769903,52.41525595437568,50.09541985169775,51.64736546150046,46.763820197986895,51.49066831861704,53.45792268917018,49.56979366189798,49.288065266709836,53.683171605192285,54.57230843678309,49.700950743094054,49.52394348642799,46.81764107550991,49.05447516088338,47.47650756888098,43.49506653833593,40.24927450291442,36.62381373308958,34.04563929911181,30.715091995117483,30.227495219596637,31.884536972042294,33.46350336833845,37.70566884063465,36.50268651755917,42.49518599849261,42.25483680061016,44.209075306127815,44.01617064584633,45.8387612782506,43.821694617640304,44.535450028791644,41.32724420427175,43.12863425155842,40.72020872712559,38.50876824157356,40.282004650841614,39.70356317394537,39.45316415567677,40.93923029638646,38.35018373527433,40.45481571272422,36.486322019814885,33.99815610750439,29.517226171734976,28.638385221395037,24.63564189832615,27.497099251294532,24.995744723057893,25.73044346856468,29.319622925547,28.911363953441814,32.04091976996673,30.739116236829357,35.21290296831985,31.143183163216783,33.76731130002038,34.12323690014534,30.162821972985284,28.823827019652093,24.398714555715944,25.005489621170668,20.824640526174854,22.866480607931074,22.262879556141606,23.62966021300202,26.57164228351917,28.781367274448307,31.722553327437694,28.523532248017837,25.962668971603453,22.7782894640101,22.201588048970144,19.987065668860765,17.626760970822907,21.72475692656782,20.365655959929477,24.509081126328066,27.371167558763812,31.65570581318639,32.24014548136252,36.059868807754405,37.7694324324178,37.32081723619098,34.76961274781908,30.856492159167114,30.37991484566101,28.563795892153667,27.21419318678244,29.44227295012661,32.193691536568004,36.04414855217975,33.66143156064353,31.358599949736718,33.881473413234175,31.079931787210594,28.453396279533262,26.421339990919833,25.739296156192086,21.663574846660573,22.552597312755214,19.533792043811918,22.777556709788573,20.215613254172734,21.972311035296173,24.23226303243669,23.622816212783608,25.509923531626786,26.86565366894645,28.204737611698565,29.98437229268084,32.19946386029542,32.61611819111537,36.41134895576907,38.157363203201285,37.313397101227594,39.306729296867715,42.01053803740679,39.55841842701853,36.11792790457757,35.448356406696554,33.24773202498128,35.393960500429216,35.51391817330022,35.36254297361182,35.14954910868775,32.89012672676965,37.625895507290345,38.73793366324495,39.62203240008263,39.791989828664434,35.40830481550472,40.485557144721284,43.45495033939472,41.098574134004494,43.797456332566696,42.47401899846253,47.37146445251157,46.11555608088741,47.58528333050502,47.836023699603416,45.01196455505725,44.5152913288914,42.03495966110614,41.67303920875918,41.44706977408777,37.09360704386485,37.12878201561317,34.20201068664318,31.89299809613083,34.58243620838398,32.458390869000574,28.74689498817275,30.19434199742805,32.294273274503,27.91227648183826,25.842214598383105,29.273035998729746,30.13183386953773,24.155703873827804,25.283868504817427,27.933212358471003,24.597791871322887,21.89842266507947,25.95697236608441,26.528583825348168,30.90227344022208,31.89432145481564,32.10876444167103,34.96120349053476,39.88802475554349,43.19353500869802,44.98450710181567,44.847668357238256,44.05374914749358,46.423365505616616,43.978332706786325,48.20245940678837,47.332320442780535,41.31520792509605,43.93695610249414,47.52206417345709,43.55573942610762,41.430715602190304,44.94384233955764,44.92403442816713,40.64576535079409,40.00652255639732,36.53855586253755,38.45009162754976,41.224929660528815,39.93979441171463,41.33058506667401,42.9877168561227,40.155953382679,37.27678868055992,38.4701330553957,37.82867248222386,33.40264512537434,33.25003987806473,34.451121461532594,31.942252338914194,29.69418000857439,34.191038242885625,33.658920792616975,28.968672385683313,31.24300550164928,35.21053115428132,34.84846001579627,37.93091340188918,37.34109019075935,41.197382847990035,39.5232097392663,34.38450579587132,38.256048237198414,39.78378263982612,36.5348956628623,35.586947791844096,41.461839295919084,40.099536662029294,35.13498102293066,37.802446154488734,42.31071472156902,40.22850493574525,36.41775032369254,31.674800498664222,35.38115073526929,31.05465345149593,31.304319603175323,26.03872032072755,26.162314508702224,21.641180928800384,21.450442091767925,24.038889847367297,27.18080525476849,28.142718717624152,29.93880858792933,25.732450051948383,28.55729262477675,24.76347503629136,21.081484478562146,23.50584215207019,23.21424494351016,21.45259133559401,19.5524794402991,18.2978923685449,17.11830783455585,15.54862439089117,12.303484004303163,13.146790086950775,13.669833653798424,16.074762638972672,17.23985440717973,18.929465452033096],[16.71926525680926,16.51810646577105,18.83454915275829,14.855142750111792,19.031259521928394,14.019148220115204,14.839726288281359,16.69100618919496,13.179213320875906,14.977673888799023,15.747371058025344,18.242794038390933,20.09759051012029,17.345693314289726,21.498270652977272,23.90398012017336,23.757594457954816,27.627156611823395,30.363312532727925,33.31533444915804,36.46688509544555,40.59420246358433,41.31148888593017,41.042766487141684,38.46767810664616,34.144941881967206,32.641913402034604,28.57221687850844,28.49322677544686,27.672853234783602,28.843230620567464,28.997759857344207,31.371065064909413,35.23238381885058,34.074740293706306,32.87042914527369,32.60298193644875,34.168036166286576,34.684390303007895,40.7266583079048,37.785123684155984,37.94167966546394,42.38037352328422,42.64825556963149,43.15205170818621,42.774485994806675,46.25640792615581,46.512247209288056,43.8067207371307,48.727300312843525,50.12484818470663,47.88809848936518,49.42735591429238,44.600723086440865,49.49024728378362,51.17372929803027,47.18135345464244,47.09601752345277,51.419875736027805,52.047428777327454,47.053069851789104,46.8654579449424,44.21076471681147,46.124059973685235,44.56767811893309,40.74675688499288,37.14814827671613,33.71182555635586,30.767956512179282,27.596879546627978,26.811991820589967,28.333890606945214,30.242955139144346,34.44050140435071,33.643538740889916,39.74166195512223,39.62891601164758,41.85528824024756,41.757276973302666,43.60064875282336,41.95421190059218,42.71466030954889,39.93411004385536,41.725367359937145,39.04678872069526,36.79107850755964,38.16012223244642,37.92242843350046,37.14469230572717,38.90150586785984,36.006810327830564,38.00446226796221,34.15399655052408,31.984649231253155,27.473865228407348,26.62200389784497,22.539372092300244,26.061387792317444,23.940740241869893,25.578973103854555,28.52504646941241,28.821019591201264,31.304785397992905,30.544456903140038,34.89579460897798,30.976490827427096,34.046191586252405,34.29667965685523,30.504757244942382,29.205325075999095,24.71928106922082,24.50987995602649,20.070441157731015,21.38684103615055,20.11132224209267,21.10076834293773,23.76557080538273,25.737024998074105,28.398442750909616,25.41009676520245,22.63761261441361,19.66856632472385,19.093038014641156,17.34863242771313,15.681618279293119,20.19848464878625,20.03999828550429,23.8784366967036,27.066954891277117,31.259461966592497,31.919964597534506,35.976664746411124,37.20348765951682,36.83615524403611,33.874488217995676,29.738322342003965,29.388710656840267,26.89885806007582,25.05716444409216,27.32564627069497,29.529574750776746,33.220537675312784,30.817077372816605,28.81251510410485,31.47372901841935,28.829883201845607,26.278048050398674,24.68198540780497,24.567911270683283,20.75641577704616,22.519851097132136,19.703792906887116,23.56731612708143,21.53212543436706,22.453353913944404,24.350075445370248,23.114147886641188,25.295081864865196,25.892098348652336,27.566080114055147,28.70639369597794,30.48274726527425,30.62728428098564,34.51453299437555,36.309480971724504,35.253906565704895,37.67049150600821,40.241106582627864,38.06911866968908,34.40577043694913,33.99703953659496,31.557466784783724,33.90079964812714,34.16854245837179,34.058632160974575,34.21251716835559,31.665285857795936,36.72738317712106,37.47916532557274,38.667591343629304,38.54686304369371,34.6392931653825,39.66863965292616,42.49971457272667,39.89016796088443,42.19744372827688,40.550954758734534,45.44130307429143,43.8999073826222,45.74559212348071,46.160746409323785,43.52461708130308,43.295953112343874,41.03972607025981,40.950737861430596,40.98989132109294,36.62677164963395,37.11750115338457,34.5293955147394,32.364314530431564,35.54136903479106,33.60088418146783,29.699826551051057,31.389658130076533,33.8961009496866,29.63056635330132,27.36469377624162,31.19183267576295,32.40912319132787,26.47835566359939,27.710327720859922,30.662642037061605,27.486209393630563,24.774076246839428,28.938328848068164,29.129656486087747,33.772141442313306,34.08767262795486,34.29389631870555,37.41276511776149,42.11169206234778,45.70083360862736,47.20738831219064,47.00060297506566,45.904777661108646,48.12508923974396,45.44613733497771,49.50258504721117,48.78219155580272,42.60695186524582,44.96294169048392,48.48908734439875,44.55421700200199,42.19392665658694,45.43487944413303,45.50663775409738,41.275466926569145,40.136288902610076,37.171726236199085,38.91956611660452,41.93895363423145,41.113949449591026,42.44152536478792,44.467105696112085,41.35102042139519,38.430018084503764,40.186624649165225,39.531025946585444,34.91407663845219,35.10005941128361,36.66337021214627,34.24213801798822,32.023086877304465,36.723967680089864,36.42887061944175,31.858162838431305,34.11000122644135,38.10194323770069,37.50011760282086,40.35629253121589,39.40721432417729,43.2046872368475,41.83482884212401,36.47133531705312,39.99874828257361,41.68677318674723,38.49724020913015,37.064046984250034,42.96677978883767,41.7870846880723,36.61472622676633,38.87185139861499,43.55679248333771,41.60782524930708,37.66332688728941,32.96727941462838,36.66151606148598,32.32419557707206,33.14769616851331,27.73301724682052,27.92861668359989,23.563828902647355,22.94389319779498,25.15610250014105,28.083336487185985,28.759257112203127,30.851684162864817,26.36309283033643,28.95639722592043,24.842010362395133,22.197759012710108,24.753651136489133,25.073763020953862,22.770737490357337,20.65565972522494,20.305324171657755,19.378914538440448,16.672016108416035,14.790174472011147,15.99531395565352,16.134099141918846,18.179750566343955,19.446887637912578,21.351842819082464],[17.717561515609177,17.013280862232698,19.309560615368323,14.2751245450315,18.49134692943016,14.482451235106227,15.071327889240969,17.767899427049805,14.385546476422805,15.311826580942036,16.5875424135381,19.707539265374866,20.50856284103633,17.33224856025171,21.889744531636705,24.281963452637825,23.37588984697887,27.129978904896223,29.255135839455697,32.42615356057012,35.31828608442831,39.450044616291464,39.90049703686321,39.32758965883992,36.92596870039584,32.61316996735622,31.3564678907881,27.49654722333198,27.992300673248813,27.748161819648416,29.15952172237043,29.72572440211728,32.40827490141029,35.96156997410739,34.53354072793387,32.85593041873592,32.837845841018506,33.689096790215,33.90084778047365,40.01681357381658,36.5726072732097,36.84312644760655,41.32823083281606,41.270526750114826,41.451991280415115,40.94262822241741,44.31961097706878,44.88319561831401,42.310233475143875,47.099847805559705,48.782467439110256,46.71955967135436,48.4453740308266,43.71090326371466,48.893084161414166,50.38276076991078,46.36155724011644,46.62105838984622,50.926368898499966,51.19692385022849,46.23779663655966,46.315489220541,43.88174038450012,45.42602010199796,43.68752128834901,40.06478125253365,36.27146743365409,33.16703223033404,29.88329347476444,27.13641749978646,25.965551309958453,27.50172211720709,29.83334205122925,33.78587893613469,33.44241114634147,39.68045371367005,39.42375494433618,42.0280901507512,41.794711597484564,43.427138705892546,42.00635368806109,42.501046565316344,40.104079399801584,41.580830879347396,38.579404402924744,36.60247802745282,37.80656461118765,38.093378579652125,36.99512409496864,39.29197419149719,36.25001214468182,38.35186389463685,34.695584513325755,32.84469337846217,28.277472932890806,27.700341667133667,23.52718883040422,27.34230411603797,25.397422636911354,27.612169738755373,29.828124595093566,30.26610089622203,32.17048640464183,31.428591767266425,35.34869574665678,31.31564631061694,34.512041302631246,34.370878334639684,30.57621441248875,29.685980856241,25.044664955119536,24.492257961088267,20.152079707957345,20.733776847816703,19.426722336866828,19.715382707333415,22.44516139045534,23.828176950199374,26.71449557126304,24.281227622530892,21.180335346232294,18.440626181341674,17.164895343187492,15.85014161638735,14.775927604411377,19.04480285693981,19.71146799561617,23.320803087168933,26.635307977285603,30.943066508721575,31.16817506360394,35.47274274824705,36.36605364440551,36.41341586542672,32.92320592942365,28.75573002307936,28.010916581324597,25.224275639624647,23.063105878697094,25.70461725854169,27.296981616648534,31.110376671944444,29.04444944467231,27.247333488098807,30.196960619943436,28.02248689065854,25.36615369886922,24.35964994418106,24.573587022858,21.204998316444694,23.488647851404938,21.31508259825163,25.581690698498136,24.217690861999472,24.847457078883114,26.23643640227977,24.46338835006334,26.450131119593163,26.576429216050624,27.935815320687176,28.296365344333257,30.05124210436725,29.50283492983049,33.64387187827414,35.0499723153101,33.49112560473567,36.12379319820473,38.37495383768101,36.2426615441742,32.49721783532445,32.4308058151583,30.089062393469856,32.884888813366466,33.5354142610298,33.760805264513266,34.37523587420226,31.925333294320662,37.21744207888645,37.442336319076006,38.71945090088752,38.062967521412,34.45287826635913,39.19013447848683,41.79069038121007,38.99786994675294,41.240667194380976,39.542797348039315,44.224326816979826,42.24138407055993,44.27897125130882,44.62306899993859,42.21815091692302,41.95269151958852,39.78753895595433,39.79803149298239,39.833924155879785,35.407475886127386,36.27607514091189,33.808687352205816,32.06284450418298,35.429772065740586,33.91249951393183,29.846901243088546,31.318010716157158,34.23929134718195,30.25819904730344,27.43393425197015,31.5289408123364,33.34700057931313,27.390127656542937,28.413536883340708,31.67763325791962,28.898426240481715,25.882408367930314,29.925708897278124,29.688694012978885,34.6252409923618,34.08087411555841,34.50372563279073,37.902892284505356,42.371443794924645,46.14277411874961,47.472558190706835,47.447773353704505,46.182730405883184,48.41277024940677,45.73549618717231,49.54329198550232,48.73075802065137,42.49729954673281,44.78421073800646,48.039885568378615,44.012677507707096,41.624510024296264,44.68847057846413,44.539636035207906,40.32459894697544,39.078429032013034,36.53064275194048,38.5432937625179,41.71989742608739,41.292071596584904,42.826825601454956,45.21200493667551,42.09117839656384,38.90999859537836,41.03953993908788,40.676353663059025,35.895790108338005,36.03424622840444,38.03286637154435,35.81987972930244,33.35484968698271,38.084733871567664,38.144341696661385,33.66139343145079,35.558763143405905,39.53835797860321,38.602379029476495,41.35294312877373,40.2238237495621,43.822235342313036,42.51623387170075,37.0023488051165,40.281305510320436,41.86199594583455,38.65911568550624,36.915488152739385,42.726046144165835,41.482740496174515,36.18083415686352,38.200992266371934,42.87176758213907,40.87008738885287,36.834570399825004,32.19855651726573,35.66557600896444,31.287932386932173,32.6629078992852,27.237828282278052,27.764135981246422,23.74748165167747,22.464897668001722,24.409678362045064,26.98539473373596,27.60801813288518,30.14377231670405,25.768657343363298,28.429943589566545,24.31681842304128,22.351064709186804,25.38093468870688,26.193434521755606,24.070566678847708,21.403891894522175,21.403923336724635,21.174984293255516,17.944110109021914,16.486244380377734,18.439978027036545,18.90352427561667,20.899362466717754,22.379537600756098,24.303145828253445],[20.197929442458282,18.910722581043867,20.552053360560354,14.76077056686461,17.570374495722373,13.839153023829075,13.111798605733014,15.81650027175384,12.117370422257022,11.816458243467968,13.250050191635165,16.891704650605238,16.808259777710642,13.303964748152088,18.03721872565082,20.383521306879356,19.101815835010296,22.765273171428245,24.761075838871704,27.953160505837964,30.809980711747155,34.94496960491824,35.392637984560636,34.85999592760638,32.44793290032099,28.117433898590242,26.9085224836054,23.073859402541675,23.669725904700105,23.711300772617605,25.171571311757443,26.030878189501063,28.891330515247226,32.18489420209158,30.600961826653677,28.675332850260364,28.880021482902773,29.413692376752014,29.627728103325786,35.82921663809236,32.280724792339875,32.403235082010454,36.89731094350838,36.8800235052387,37.08857646047103,36.709724381477,40.10512378741806,40.55672742481001,38.088858315880344,42.95995782262679,44.57740610584782,42.50593977363937,44.16317311472398,39.45882814626597,44.66239325250825,46.03021199643872,41.98502092599669,42.30824236523287,46.57391103068009,46.759879473288414,41.77790941924562,41.895657398999674,39.53485268367166,40.9954548875711,39.204665713677464,35.61957302902121,31.82405127301562,28.793226934282544,25.508288069895592,22.916823611970468,21.72120880559252,23.502320623669757,25.782588723077208,29.566699157111355,29.259007929646476,35.555075349061035,35.142622535872114,37.90846772216338,37.59264945060051,39.149715935040696,37.88730927158093,38.371936211102366,36.24395882255131,37.71331667812075,34.593320498737455,32.57479192013897,33.559124684050815,34.05655777371632,32.73518567319283,35.28073441504304,32.18894098708799,34.41965018633252,30.899627848879653,29.24083020490712,24.649682220635864,24.39353432618173,20.169243935826557,24.096604629903247,22.388723675542902,25.27605660643948,26.718122465113062,27.624514603545002,28.913014383283986,28.621658398218674,32.39678120483855,28.641048412435985,32.21224852196072,32.13215035806551,28.667662281260167,27.641315623679212,23.192990472063563,21.81704738610557,17.378427677284797,17.357431026955297,15.442472644043852,15.587670852760104,18.056342515187435,19.508227323600057,22.22855989872167,19.78080712174591,16.667948530851465,13.954318662179645,12.860926709652716,11.78036110071907,11.333333583900071,15.970190186020838,17.718354470887224,20.81661626377927,24.33293342831396,28.30386747792367,28.922249305805316,33.247238147805575,33.72844511933762,33.601278976327976,30.018983976088244,25.697154818191844,25.461482289744637,22.104140931486867,19.659418128536576,21.988008435282943,23.464314714152714,27.018804238054884,24.74997667427745,23.072715643450426,25.97726515568624,23.80951917830876,21.265867375807183,20.515921661749104,21.171235875842104,18.146055751409257,21.11746714691874,19.281089665699007,23.93406625409644,23.30672489544112,23.17372800751255,24.009136913567485,21.68993002843318,23.7827164529157,23.260492348731127,24.8688543395849,24.787004604871505,26.126522200151555,25.56853504629917,29.63917756627843,31.24567050062168,29.81716215742862,32.71624007844555,35.05682494184689,33.260387181137496,29.368638217450627,29.31890037185936,26.654091355228523,29.330185691438825,29.93877131291277,30.08999854713493,30.921535415169213,28.279816158174267,33.730285307122934,33.71068825347156,35.205608983807224,34.44328811796856,31.24742358301735,35.98228671657939,38.518496241863076,35.5888506665538,37.451636328995704,35.51361733044693,40.249302391939544,38.278886978166355,40.52335737976247,41.079042993561515,38.73260386999718,38.80051285951714,36.86480340721918,37.144990750729065,37.55093540993919,33.26846963012388,34.42290071373667,32.428599398331265,30.563887000616226,34.4109121671393,32.86263978174582,28.78041449260206,30.782655192195925,33.875739633352836,29.968437281420826,27.49094214374991,31.821078412032563,33.60603660689886,27.975662743098837,29.375631819761708,32.74628949811086,29.959248042327307,27.384740441026096,31.648249515613493,31.175351407205238,36.11817050724075,35.35932355037659,35.38885495721209,38.867793346563765,43.05524295846235,47.12874779723246,48.05002400612281,47.66245096745309,46.043420916713934,47.96691934515026,44.94380251037358,48.64838386276582,48.190308471478154,41.85465556671284,43.72891376456316,47.11447301307961,43.316750634741,40.60095772078407,43.353233107752274,43.628030416038506,39.563445494655184,37.61127303963344,35.48998681580006,36.9317488608098,40.272028905621944,40.21597531402424,41.47333942186969,44.10978947319211,40.652310076490664,37.62930040553793,40.28640047886234,39.74095790529398,34.884904374268714,35.53597904453505,37.7592594404086,35.613521834704535,33.39485010208634,38.316197736475544,38.53159745182845,34.285173900395186,36.353432475015616,40.3051892218965,39.24423684573392,41.625886969553804,40.05981533422361,43.66379237900345,42.86427996152086,37.217648770861416,40.060362053793234,42.018510565979845,39.02397650173387,36.78284102599194,42.61785043826611,41.86168486811164,36.46481433556151,37.94158767837541,42.87375428265308,41.29742260331466,37.23850428728388,32.778837656433225,36.535071106863505,32.4252384812433,34.04980157311298,28.547662134366107,28.60471638346182,24.652846827473358,23.615077140630365,25.006148819992198,27.55558297718907,27.591897324433116,29.91668643934638,25.09743055826073,27.1639470195567,22.752854381440773,21.94457645966377,24.603849192819577,25.93714738291503,23.11042515140128,20.596433687325533,21.664750325520643,21.395409566231397,17.219523369899928,17.47165891712704,19.361878788010962,19.34717853064614,20.872172482608537,22.48407915374021,24.6113973302299],[22.996053523358608,21.481702197733465,23.1639883865761,16.776605304848733,19.50403564424189,17.06879557707983,16.229687851306277,19.474962937709307,16.091776664920857,14.878661103644138,16.484389131579494,20.50387948290383,19.39832031479311,15.472343879263336,20.181626343896966,22.51553491953411,20.379374291921664,23.544846281917316,24.499447952174847,28.067369955906088,30.392101467426563,34.5476119234953,34.518205523120905,33.585866576758995,31.573831079826434,27.285251815719366,26.629306453549937,23.245197587493962,24.601421395687197,25.46671471322203,26.869165898028825,28.41044460369383,31.41490216034066,34.214770154905764,32.47407569229996,30.00882320447772,30.691094551895894,30.278363654542297,30.153221953540065,36.39035830865123,32.1655321441566,32.27846155226456,36.77270857357795,36.349020426517555,36.069364201783266,35.60116625567506,38.78743863154202,39.64614254830421,37.51251483653852,42.174595013031386,44.164904707070654,42.36489050811869,44.20133057094946,39.69051473435758,45.201172249137144,46.21511636699468,42.134731674357056,42.905753326943625,47.05830874687971,46.74187056790743,41.790335358278156,42.15564991818302,40.067611810969375,40.93914103224161,39.021376961899094,35.80912032486032,31.645144754685287,29.16849323724486,25.354184690445102,23.420659946026554,21.62404206356016,23.157447573384424,26.083683686488136,29.494512472415376,29.95401245969321,36.2673176556645,35.858833610741485,39.056771978888065,38.70644432068475,40.06340614530544,39.23022805524101,39.47932711127981,37.94439113543216,39.075369897812664,35.588143936830726,33.88601404133753,34.49090480601727,35.63598468553357,33.77522584534687,36.86591202014842,33.54114436588199,35.69513182662961,32.49601915695965,31.32948124359316,26.88018922315791,26.793017231227225,22.71942791767014,27.01515414880452,25.681924779966202,29.098429441030223,29.840682131276765,31.030289498752193,31.653870627688594,31.52706135054128,34.7778960834891,31.040961398107658,34.70487956353816,34.2075118004638,30.84128004801687,30.275320408710744,25.813376393225674,24.06115553179929,19.948843789696316,18.956169644360006,16.911748202976714,15.957014310585059,18.143646180241475,18.53768717383007,21.237520827315752,19.7717617748685,16.26253475077024,14.284926164941298,12.280917558721326,12.361831006061013,13.152949825444871,17.056569381285144,19.879540197851657,22.490524311429013,26.030943524165504,29.98177882418341,30.08113294092032,34.61898100448827,34.62610529284912,35.003069667268505,30.809815586344218,26.540336880010727,25.835528667203732,22.04307399096081,19.074343755595628,21.831144319935987,22.111970942748147,25.65804000611504,23.90303674067659,22.73529644730037,25.970990091725607,24.524529480253964,22.022707128788735,22.17112701651682,23.32295787783369,20.983038471349307,24.399205892792946,23.159394570458765,27.98048681402721,27.768011090516538,27.39693625497168,27.86809079284145,25.14468815395678,27.073648056421654,25.99409437123032,27.338631783013806,26.291089540627873,27.39841953952891,25.9583020795147,30.23086261100402,31.349319006392705,29.22934051919285,32.496045025774364,34.32480946028461,32.69747882311857,28.717410931167272,29.211168247309878,26.682368450979308,29.906534834647644,30.99050185992154,31.517220044881114,32.906789902738346,30.348278029401364,35.96058365619509,35.32117683989959,36.967172614379244,35.57386418841155,32.9099497624927,37.200985721836815,39.39341553962233,36.24176353532145,37.8716475611204,35.79212821651316,40.19876247970059,37.604121807470776,40.19845783055351,40.711198371222245,38.747952794812505,38.8409466059544,37.10524902955686,37.5581447143358,37.991376341874144,33.70694928697372,35.36270949213227,33.57528019283774,32.26843408206905,36.25128048111738,35.20815357739108,31.037817977941863,32.72264850149961,36.20106952198814,32.66231274112821,29.6224995899311,34.11587756853145,36.48909137477068,30.89195176571318,32.002482284160706,35.60143690723327,33.224431883464035,30.334902484513837,34.36706850112653,33.527788425542866,38.68837534575943,37.066896683924185,37.40181743207114,41.12037381702596,45.04639267492758,49.231863208039634,50.007463625377305,49.86982827406376,48.11373460423542,50.05136500084932,47.079302472333374,50.46777657419409,49.89149341335152,43.565218071834416,45.349779307874876,48.36696856733504,44.49097592253395,41.789247290275114,44.285269779161474,44.264041484589356,40.272448149511625,38.219449607175726,36.672734490046345,38.41631340445685,41.894415272737085,42.2945655998127,43.76748501293548,46.75448309425806,43.33209827971619,40.07833290247292,43.074249378620216,42.831398920793454,37.884654430557454,38.45557225544813,41.052050317537166,39.11509279376674,36.68001282887111,41.54807499982608,42.06603551188664,37.90651224359541,39.614657629443506,43.52019349679151,42.16729271926335,44.464846593186316,42.776339777278224,46.13133071793829,45.35743340937118,39.636121008059426,42.21237127572476,43.9910618815696,40.99790721671019,38.48744956665001,44.126741790308735,43.25554441185996,37.79662625842232,39.00643820862215,43.82552773944776,42.160169773664805,38.053006456167125,33.737602173662175,37.08664454244566,32.972902216010155,35.20661857129397,29.8392235404919,30.350052738218498,26.880608387658338,25.11690734165297,26.213964029834884,28.235917383644402,28.25581366304391,31.099112104854765,26.59172914878521,28.688717037410566,24.43460565950545,24.392131600277107,27.467958236454997,29.194664166578033,26.64927911087894,23.717622976262657,24.959956073739665,25.27055799301806,20.932656279588567,21.248033828954647,23.592371105057484,23.826208778619122,25.348579731462536,27.00925860848736,29.078817878962198],[26.534738601110302,24.901469434917768,26.1544981403315,19.768401066808863,21.23926568628777,18.59575963229783,16.5688068345949,19.088466651440537,15.31227661839739,12.740977007865338,13.755077057051704,18.0603953609294,16.33782462563984,11.87056576248008,16.143356654742565,18.61270084921234,16.36115088955508,19.03274386855165,19.84395533831011,23.64114146540687,25.84563085279903,30.169479266619344,30.101933866337227,29.44674121795315,27.531971293059712,23.115281566447983,22.723610352707166,19.362566489944417,20.53815838923052,21.705383734677287,22.45593393409469,24.648885721249098,27.48780714375309,29.915385770310664,28.32466792240751,25.73195485655078,26.94231603490419,26.374959852212378,26.54399325247719,32.932720624483856,28.74580390874753,28.280586199589752,32.770159249623994,32.65573130594903,32.52444416015872,32.47838014098828,35.69083128159611,36.196833923178744,34.36027735303552,39.231377507091466,40.96444888537503,39.07751863546706,40.61789616642006,36.15696750560646,41.498041327203744,42.28787842281041,38.138269292272085,38.82105602894811,42.84318758642846,42.53734901171466,37.41553196408543,37.52176715290172,35.342277903441804,36.12832009044754,34.39234796949658,31.224656072542288,26.82718825117077,24.357015094535186,20.39799115226515,18.47057374965477,16.579970332702676,18.12267663581226,21.049492005995667,24.443072254133035,25.034270288153987,31.316563075898884,31.07874586551842,34.32871847284542,34.15864033562034,35.67280346215667,35.17919042347379,35.73773981405696,34.53530891894262,35.94177382574835,32.462432544518904,30.431442640412733,30.529928539096545,31.700374778802445,29.38099866047584,32.41587031275908,28.891511435999067,30.889041477959097,27.828638381340603,26.94692115109927,22.67181373497372,22.66644095599355,18.79917765220943,23.42292960575592,22.6359175140323,26.731401965184208,26.857925076373693,28.89080945152104,28.929385954961294,29.65504646772894,32.9684738988393,29.822311381799167,33.89399751936286,33.74201574472556,30.868066411970883,29.879750897395105,25.86228817982436,23.24587844960296,19.07704798769701,17.5946629855707,14.391237795902347,13.48231982430112,14.652605513714681,15.332834151007988,17.01816748098364,15.323275821543017,11.858914484931645,10.295135007357468,9.487951655142997,10.433196993059601,12.296343411841928,16.57551055603708,20.31827858458263,22.289335826125985,25.92925818545588,29.25305828814367,30.129756255944166,34.491770359739895,34.09638853670307,33.993431848274426,30.00578438087992,25.6052908757539,25.85323949041245,21.43091065293546,18.176223108722432,20.12021002053378,20.210442862765696,23.020998024233858,20.70496531195718,19.902180610491502,22.855094596371387,21.18450779856279,19.12565240225392,19.487770518386597,21.287603699335744,19.314423954678947,23.31914947527323,22.060247618255122,26.951782526636798,27.084553034690977,25.85156071642619,26.009702705652934,22.956961423285392,25.271900169295662,23.43497112420896,25.527163616250093,24.26507140216452,24.48868896633765,23.48165408451763,27.38797428176709,29.110734644649195,27.459738131369775,31.093636271098493,33.143154623097125,32.08025225177519,27.965245011464805,28.37167875137501,25.31816676758947,28.065756528527466,28.845863281041137,29.00043231278412,30.447930032138792,27.430225064003217,33.100220743502014,32.42825929476651,34.43243205018169,33.23027314433748,31.15798389856756,35.56843881040361,37.75838630282791,34.50618243931087,35.45062887736367,32.9085020752092,37.49792805284746,35.10875872326356,38.04419239304646,38.96938913339406,37.03871603716807,37.70329838381491,36.30972592625105,37.10950421339656,38.050554002994616,34.04532253340091,35.87262369498947,34.62082174958,32.982652829034286,37.36504902962562,36.06392911105687,32.0214527844433,34.372284514235744,37.77029973056802,34.1771043522643,31.809306094491888,36.3463599137901,38.336095770222315,33.08961942009457,34.63897886030146,38.14466878896003,35.5352287669244,33.18774694588515,37.45906804797181,36.666234236174134,41.67376733880077,40.32271760633296,40.21776695288697,43.849928675415036,47.632640903190726,51.98824078127036,52.476671129561254,51.891167806217105,49.875914945574955,51.47533869837125,48.13939721318586,51.52787309017747,51.39559013032893,45.02749791384527,46.377299815460354,49.65621652029074,46.10295193647538,43.07622335060969,45.277437915754426,45.835004601530244,42.03513197241321,39.258139240952524,38.02575027734288,38.95462112404091,42.512342233144714,43.1282460313245,44.14206435767052,47.18696332801714,43.38391942464599,40.5155769383763,43.869263876562336,43.22818211443145,38.34624825637609,39.51751835401886,42.057617112231235,40.067003273386526,38.068398988828264,43.08112264227661,43.520091282121946,39.55408246016427,41.64341154882356,45.51673350956349,44.25499644590548,46.25014185877576,44.234167246184185,47.69334057117473,47.39632876256457,41.65621850620239,43.91894176898117,46.124490651162866,43.35281776362452,40.53350840958918,46.20733776311384,45.84502721394155,40.38729181273868,41.174027508354804,46.225705366096655,44.99791000837421,40.93014291094855,36.77203475850575,40.44435627942136,36.5877130554983,38.77375916560285,33.36314107373207,33.34065090283722,29.760571246824092,28.520050637467538,29.303518701867244,31.445497688265924,30.975370248134965,33.388872238796495,28.449791696179854,29.84587615769063,25.343048440849504,26.155568138329645,28.541998297517694,30.486940282720703,27.113203546212187,24.754771011797484,26.804749853505932,26.65110376944656,21.7973941387813,23.390052003370965,25.205793314949883,24.76391186268242,25.793587999446885,27.34501641170959,29.548444012443817],[30.277014618864218,28.742410677955206,30.25174455579997,23.709686121494965,25.528710287666915,23.35411234084525,21.550068379257723,24.230143419648353,20.456737443427823,17.752138049376118,18.468030483356262,22.782827311347006,20.88203360708286,16.226381178014627,19.86743271324611,22.441753180712695,19.906881605171318,21.70514730384103,21.384004350920897,25.644443069180838,27.0806103521142,31.475035536707466,30.781144728772404,29.862069337564733,28.62029621581811,24.303186955121177,24.76046817557269,22.011135389627093,23.631638535582724,25.42878577681251,25.50204287729707,28.49092935305105,31.087227707394707,33.00578057113677,31.614381942543453,28.725424242340825,30.559368291096398,29.31913697854085,29.377091965582338,35.71856488259547,31.0229949246651,30.2310531453681,34.60843128704457,34.25584216053254,33.64457593504446,33.71157355932009,36.620397349334425,37.429145677413494,36.150738006966264,40.79455358706151,42.80059426056128,41.188940546197436,42.73819008264023,38.55203838680662,44.00215106278655,44.3255426592731,40.14172756730874,41.16207643619585,44.93875583724054,44.16988811980424,39.01295217034255,39.09565300430007,37.07693987159039,37.17347101786708,35.5798322206783,32.913801327266285,27.94923857283548,26.111458504293175,21.532083734014588,20.22457530048779,17.67508944989122,18.34484878336045,22.065953559907484,25.144734951529436,26.732359322209273,32.770173129829715,32.95096388711286,36.46449852616055,36.55065415663457,38.07350106591651,38.166488166697775,38.75762636658126,38.1427002907177,39.43329390213695,35.75016429923571,33.84171816445629,33.38409696995752,34.972821333392616,31.993440436093724,35.18244587298099,31.333911425148447,32.87077488867117,30.159103903078222,29.817771842828833,25.925093054717873,25.717673663218,22.268963545389934,27.3397076746419,27.013516769679963,31.38069036074788,31.29295769421924,33.71308129379138,33.396051983578815,34.41398691314775,37.479670593509454,34.462698010687824,38.5749542258314,38.220371264086324,35.42124790379345,34.6673735017803,30.65718262610774,27.913691617694713,23.946711891717364,22.035434711638338,18.75129856297925,17.205354034540328,17.729374048756316,17.395546387572264,18.266764267798322,17.645018831676367,14.155211085252702,13.772836175177861,12.768069738869862,14.653025107289446,17.047780864464706,20.784140839109806,24.93002504434471,26.679048650882795,30.27347323523333,33.533803734060356,34.084307411547314,38.53756462869665,37.805957262894026,38.02246735385983,33.67614443357341,29.388465595402764,29.32409625233202,24.65896478012939,21.064110554633594,23.18217415983607,22.007797892457923,24.43396599746763,22.588438133301096,22.51446167558627,25.55488417067838,24.47771943720908,22.697129939817,23.687344477180204,25.83144624883221,24.22186759729282,28.358253988111777,27.1761958750883,32.04588683462528,32.06382643942085,30.726265104220136,30.929724631616814,27.81618569208063,30.196705555703964,28.042697893607915,30.174658530791437,28.38573201144218,28.231424131838533,26.718345526090555,30.569758313282964,32.007985064311626,29.851162790240167,33.83305920844841,35.38950067814598,34.591935883644716,30.464200728072107,31.347987138031197,28.420419021793904,31.47371718296393,32.538510535686946,32.85951758206669,34.638400907694674,31.57080499391485,37.25388153735912,36.23012684444683,38.4129538818481,36.856103364584186,35.29914717615618,39.372822348228794,41.279477786940255,37.87788795930912,38.45475958874758,35.68395436128965,39.95209191628315,37.0418921675135,40.39431529167622,41.36767620323943,39.829034965182345,40.60879980176505,39.44998056190785,40.40933719972585,41.38269311156104,37.42533662522065,39.60038767528166,38.467021799503485,37.21856652067955,41.61270477948439,40.61467004407242,36.530533087157195,38.606159972003056,42.201092918797116,38.786796639773804,36.02517069729336,40.61264023389439,42.93698913798511,37.59771737823355,38.90142061433863,42.512408995456106,40.08314581541505,37.430967239665776,41.53494633549276,40.617847303447576,45.76653538450335,43.9465352902586,44.162132268893096,47.928137892341795,51.62914343618661,55.97862851599089,56.48394593721605,56.142796894278824,54.112028722773225,55.772955352563216,52.51987406425065,55.71197842539608,55.454930287251926,49.119096739071956,50.459352321819985,53.453508827623075,49.82343335436745,46.863404221751665,48.89474956676947,49.17425712319738,45.42975790802383,42.68044973774594,41.83384871269144,43.02420780184071,46.64433197026243,47.515127918229034,48.67436719610104,51.88745758004835,48.12482557965969,45.13753903753697,48.612472530904256,48.13054388121711,43.21811883879217,44.28868071931159,46.96385405996199,45.0373865347909,42.90193703804153,47.86898932356386,48.39859776615427,44.38989940499462,46.30134347618625,50.17512611776793,48.80193364398472,50.847237627467436,48.851854569560196,52.17457903134429,51.787028232473574,46.02527137224472,48.222722105953736,50.237000320994696,47.416029636103374,44.53378417188388,50.06320206562575,49.50868316421596,44.03515465038117,44.74990480542864,49.646880959167156,48.25204269091914,44.16341967875894,40.07641160611348,43.337198114674436,39.40538161016613,41.97128268361426,36.68507562908897,37.11338415683847,33.7893290299783,32.0261241945485,32.78860807101653,34.559451092845144,34.2369088585276,37.06429670458449,32.43709149057745,33.95404188957873,29.61165650015066,30.62457082164777,33.30380877849424,35.32894686210892,32.16009700010123,29.611642719521928,31.50666765960742,31.552660895839832,26.800653650735306,27.993265164411692,29.948185020057007,29.621094608557964,30.74372930459164,32.2130862660253,34.35904722924502],[33.71620566887318,31.90207826447199,32.927178364089826,26.315609116637905,26.927791234388557,25.102613203048875,22.452172740613793,24.6671831201186,21.116216523015616,17.41158739697172,17.864405643358896,22.095503280600745,19.219020038696524,14.721310631402316,17.507464575596696,19.775593264423833,16.78396732366844,17.681495421075844,16.576859299857396,21.009281059078123,22.05659733175721,26.47023177699134,25.614075326481903,24.800907781665565,23.763112108781772,19.472806001738576,20.39083258620977,18.074222496109055,19.8695788878297,22.28189781521214,22.004194109914422,25.614197352084172,28.17244886233291,29.45025227112932,27.99587307904493,24.779195334768286,27.15181877782835,25.307476399408724,25.42543019709186,31.694898148023654,26.89947348582128,25.63993987580278,29.901534312980083,29.663453622789703,29.041328406235444,29.468713407352222,32.283935041866364,32.86749452080117,31.984806016535362,36.664015785288825,38.50958957764943,36.92311846084174,38.26470082780864,34.26615260501799,39.59759604678199,39.631036884112795,35.462997358883584,36.57836769325752,40.16949809130733,39.2359384281917,34.04834544974153,34.102299127206585,32.21476359922428,32.02806967842226,30.456272583479787,28.004702962245098,22.88435945116106,21.41235322139843,16.665827702190604,15.995620195902443,13.168007042588838,13.955997039208215,17.753393662795652,20.31511448406914,22.285497719580352,28.188194351167784,28.27243019321372,32.01486781708965,32.08634830559848,33.51979670575487,34.02874425689586,34.682651035865256,34.625400300022655,35.91450241186612,32.178208974575774,30.223344546091564,29.21453519370894,31.132632535401193,27.664307175233514,31.121423758238617,27.20200246326175,28.727526528834762,26.424449501421577,26.574344459611208,23.044044170177468,23.26078666449544,20.25510490406632,25.182084676788616,25.405619723766044,30.326851795705746,29.258849798646597,32.278901955823216,31.13475284912267,32.82607799774294,35.57192732495854,33.14081065332252,37.51104792238509,37.2966115574626,35.043186831714934,34.131492742708,30.634309739193636,27.153747428061262,23.536474689603594,21.000153254685625,17.110638180946665,15.302823168317902,14.597793026213589,14.010238381486241,13.61765581670983,13.500568424140061,10.314832245287677,11.163843329475327,11.084065571941867,13.868537572035383,17.110848041555315,20.411482402832533,25.335655392196138,26.294256927117697,29.80654372218442,32.37994199992377,33.42880619870938,37.6573882683076,36.427259576619825,36.369319744667955,32.14549879256069,27.938709879829094,28.60435141611611,23.4950778009535,19.76918252486131,21.079368813883647,19.402993746808924,20.905142045661307,18.779581167733372,19.295651977050728,21.994928858699396,21.125349419093006,19.90630985478846,21.43641218083422,24.177568658808422,23.315296472654992,27.848493296489707,27.082882392903777,31.90504695309083,32.57182217197983,30.53122181690176,30.162438938385982,26.69027135550183,29.073254879330236,26.167959185092,28.593112255825943,26.279994142936722,25.280854170513937,23.848247904456983,27.257849746322144,29.000577476612857,27.163568398269227,31.449439332589336,33.044206613999755,32.85030363268894,28.715517131406635,29.614499883710625,26.362744212887364,29.016637307273758,29.94134846816563,30.08859071617968,32.107565581945295,28.852327424706253,34.44801771829782,33.11558340120402,35.58997204501585,33.9642485666431,33.18758333530384,37.06658729765922,38.80205653935409,35.32267104203177,35.19571380940419,32.03742546140579,36.24488339637553,33.41594703419949,37.10107074959112,38.43292493492358,37.05056559419411,38.35218234798906,37.59954662366741,38.89901106610179,40.33454574123503,36.736881887626566,39.15562825483823,38.614459695443486,37.251939152256426,41.968285713051884,40.92465246948539,37.016209172535135,39.56586072461504,43.15351992557088,39.88736447166223,37.62170236364675,42.23748003670175,44.38101011317468,39.48401311625711,41.10372764177699,44.68174416605865,42.235520096350356,40.04524563552948,44.28168097761488,43.253346128527774,48.276268584629804,46.44420174751827,46.26598325039522,49.992780490986114,53.4079447270469,57.96229137768109,58.08265110384481,57.35165960942098,55.021555216340026,56.32696213709866,52.76471715408183,55.810302766512905,55.96328215495887,49.657872761210314,50.52255757791995,53.62919147028663,50.34391079945927,47.10159047321609,48.75031568673332,49.527346388197515,46.04258964143911,42.59499450413026,42.21810034931023,42.69273086640009,46.36728995081113,47.588866735468685,48.37727233888517,51.74470908848071,47.697514780621724,45.017306135555245,48.91546276708694,48.20699465095916,43.38725024277532,44.961435437976526,47.72581510605204,45.88665054463114,44.08503080783736,49.107549386259215,49.72023290344642,46.005233963510264,48.08521005793284,51.866418013804086,50.45216781560485,52.123179515062766,49.762736715861465,53.05042559639335,53.169312121364335,47.41499562806551,49.16813674473724,51.536132332463055,48.97691881438801,45.7187546787911,51.1602646054844,51.11649965084739,45.68349677795379,45.876506725803814,50.93245496235086,50.00203366244544,45.98786248653072,42.153483884716,45.654543445811264,42.05355349379337,44.683013120070456,39.43052962908558,39.39657892469459,36.16378755638447,34.75465492567711,35.0917185055841,36.83800994102618,36.006920253516334,38.465171379648346,33.601206649306214,34.4297869477117,30.055563197713976,32.043044640164034,34.177954475764295,36.52343234573638,32.845139132776126,30.669594639995164,33.310061948104035,33.23399958183157,28.08456292493039,30.420036670020394,32.17217182061701,31.464358046532865,32.16004486510344,33.59922341862016,35.80846228105673],[33.02346942603635,31.61251080002814,32.867073436039206,26.686914763641028,27.774300469019213,24.78164210983409,22.2103472784223,23.76724931750669,19.567874286219077,16.18166891497772,15.68904254855163,19.779232361233152,18.11058559161825,13.218968103799085,15.545428472465252,18.431882546931256,16.644461048307427,17.675577522558328,17.750161762887284,22.169942175263746,23.619903901715766,28.272310701759338,27.742906930676064,27.550912991328296,26.3465530118655,21.908548532961618,22.529400109145413,19.671943911181692,20.373460665005172,21.990027017381802,20.64428207332818,24.33651559654215,26.307376197070973,27.95378309609892,27.14134183350644,24.556042904917494,26.952156215064218,26.22081184466618,26.98503286834478,33.397850121078136,29.270643042673388,27.594478624437667,31.873633289784706,32.25997881354476,32.147919676199585,32.87201162870315,35.863735522825515,35.94719974710395,34.937025483224986,39.88986537396969,41.317648494532186,39.465139262240925,40.462014140494325,36.28592815684289,41.212081099632286,41.4181396453008,37.18350855209488,37.74264865478023,41.341381278652726,40.91517333456963,35.476103570056864,34.87628656276605,32.462473919035865,32.74607916155181,31.673198317338695,28.90857268109014,23.662550323539957,21.49466856162922,16.87739630797665,14.994550886125891,12.541606175075076,12.739298430813522,16.344431318147933,19.88484485194191,21.403756366883783,27.283822865722808,28.069108045640025,31.290370694104134,31.879253343864455,33.89598964486568,34.29214684788562,35.57875097917502,35.045527583001714,36.96844505931347,33.614140704272174,31.042753932458417,30.05127112896944,31.149650174807853,27.775125861778093,30.28101709040689,26.1696580960422,27.20621899779566,24.472617309086086,24.321328593406275,20.79409662730209,20.248001835869122,17.286681892130805,22.78876863814911,23.157514009526928,27.928217041564196,27.699048018626744,31.066906886784516,30.544981762626648,32.53994594831812,36.02182462266697,33.70504023513809,38.112948467272425,38.3926067404183,36.02841071932746,34.58729373959028,31.08367575077295,27.836089212225957,23.743742619263866,22.018396046456807,17.733861511492474,17.013322614789715,16.348427932873868,17.02019442339026,16.144514142254135,14.578710949901142,11.793391503602212,11.90185005621574,13.209493293895116,15.134170303536202,17.64694245412035,21.908979897039167,26.097048259072633,27.549662828794773,31.145349063410467,33.776308444064476,35.35919548720754,39.47538919568394,38.66343494294742,38.08940380691636,34.38698637153145,30.014578769568825,31.08608467176718,26.20089186146398,22.741816400147187,23.79184748184919,23.12502542591782,24.607949054573908,21.843481100606425,21.976327188257592,24.326436150447165,22.530370611992023,21.4171575103922,22.050162254632173,24.57069833548687,22.979300387459443,27.2847418197606,25.63189923020917,30.24414514863626,30.154838285682924,28.035419721875957,28.27350978238938,25.231838460117913,28.20569242665715,25.587091624417717,28.81201854316398,27.479996837810933,26.382298189159247,26.03024453250671,29.187487263192946,31.631684056681397,30.448841160761347,34.53589204908781,36.582845760502714,36.253742482888335,32.10497185551969,32.585337603200855,29.1199662142105,31.27954534857176,31.68152156503616,31.297312662568448,32.72207474430299,29.041337050459312,34.55985560842912,33.97749419390083,36.48951668282189,35.62780980144258,34.44331388937484,38.87539390440464,40.973836961076024,37.6440584524657,37.5611858151114,34.3392907139124,38.9746864981028,36.72076821434262,40.23077694126516,41.69018482324925,39.989791289644025,41.34878581440013,40.42903779733702,41.609815425170254,43.0303145471586,39.34551877236835,41.35843994323894,40.55690620454876,38.70457633693899,43.31332615722934,41.783101891993205,37.903462641840484,40.690608836197676,43.95469254541062,40.2805596267537,38.399907189877375,42.893241967907336,44.5209309350987,39.45662440799377,41.24570519080193,44.61466402345081,41.7411392202037,39.68620248669272,44.0808181342873,43.45724320872918,48.345210846024564,47.289323721691886,47.0227736915915,50.56298754877181,54.33673036401717,58.72096870523247,59.115941782276735,58.267307098387995,56.13574349406392,57.503060421926605,53.92069211711395,57.3095391412158,57.509077328363226,51.153382953382525,52.18069458415249,55.6219286312812,52.316006702561985,49.08964515691319,51.02480924188868,51.96342074217737,48.33230728062603,45.0670347085319,44.13571834647081,44.4486476914119,48.026531117556,48.786022876787754,49.38091140294865,52.37975045961792,48.263256155245934,45.825310171131534,49.35456956860229,48.29408059744199,43.562172274363135,45.20515417399664,47.52956044432154,45.413970189911915,43.83430251423897,48.910826395387325,49.12910311395779,45.24145736338853,47.71078219549738,51.56989345242573,50.49751727030844,52.36333017065206,50.20683681005713,53.77103670235854,53.74400912186676,48.0438111624354,50.16880719737063,52.627051401341255,49.97583172635546,47.04517830491741,52.71449638085758,52.610355378700255,47.17688000576317,47.748302978796154,52.88718030621749,51.85834626883764,47.816841836852355,43.73514896212785,47.459140599608446,43.66085858378965,45.84379016074481,40.42607360390885,40.260398680590995,36.570614499031265,35.55066857004817,36.30669812004524,38.46296148036587,37.84058806448708,40.081991874959904,34.974392174498576,35.93795208789516,31.349531993682266,32.544488707674766,34.40000921818765,36.30247225615659,32.299932869139475,30.577042686092074,32.92786462826749,32.20974340599194,27.311819047656464,29.34329621901058,30.50050016091312,29.37484242161549,30.011326060734163,31.194345179714027,33.40272784518236],[30.314031796778384,29.175708798848206,30.844469598637886,24.789624638824915,26.873401039846836,23.589682649122,21.76084303426757,23.70403807900674,19.34855341296222,16.90082530064457,16.698629280101297,20.803165361970546,19.959916321648965,15.070801506650898,18.154977508877362,21.181733177627855,19.65826655432951,21.40631712349824,21.899462082401588,26.183472847388813,27.87473093210098,32.481528004346856,32.02896711729623,31.659927123782644,30.31933317266274,25.85779797338765,26.1736634422101,23.056074226433935,23.786157725444404,24.98298363043358,24.082879917089787,27.180972530748313,29.216529877580506,31.36946504989525,30.553084425215932,28.190501760512344,30.116156379131255,29.755735539143885,30.387574362428282,36.843703755875474,32.707638184242086,31.45323840125045,35.82968638538718,36.04130868781313,35.863256826145545,36.27737467578386,39.318350554481164,39.642053165997694,38.35163805503178,43.26010391183575,44.868042410753525,43.01098339305101,44.21285551378066,39.90163350972985,44.96951166637341,45.387657950753066,41.14605731776718,41.69602960800781,45.440092702870025,45.09288909916938,39.70901213575424,39.20712636535138,36.75395118159252,37.20694039605231,36.056612492025145,33.16638001412969,28.07218305160263,25.73125350313695,21.262307356691167,19.10931601936052,16.872910903264614,17.069551110441857,20.560066464979975,24.311484123240806,25.575102143503788,31.50683343155102,32.28573142224641,35.35533840303442,35.900098028581354,37.920040831521234,37.98437618623314,39.150448558281546,38.20852054263199,40.069211663725405,36.72331190039759,34.25814091212922,33.71717205594918,34.63279640451951,31.66652652877539,34.04272734247375,30.044968474170172,31.12936796127073,28.12495202034196,27.57825842896202,23.788294218147055,22.935730246806827,19.633015991508582,25.112887764443798,24.970021545628253,29.195805628810014,29.79862621916092,32.598496198312965,32.75373165705514,34.14628519670623,37.84287785403018,35.033701647661694,39.21302126139728,39.353190531219035,36.54731558646859,35.26216045427944,31.341827151756014,28.71246385909064,24.37636385238096,23.13307954372773,19.408019975682183,18.78760626943004,19.073745280995706,19.735694474419244,19.88457447656365,18.2300770177128,15.123523981740707,14.41395015069206,14.787293350333028,16.09846445324452,17.938298918083454,22.468013232954043,26.01881807579279,28.097613087129716,31.74388715124049,34.92275698882547,36.06695527799882,40.36284474345436,39.930008795271625,39.61120121193251,35.781063798145524,31.362706504798854,31.829218152695734,27.283762205759093,23.910247187555477,25.599014680277495,25.195116331606183,27.383847311324857,24.902673541336824,24.641516267719684,27.312410326022473,25.47365788427385,23.899138457868553,24.19088535377917,26.223201506090422,24.062938943439065,28.008215044167255,26.030266494878653,30.661491710690957,29.994368968433225,28.526490473433913,29.266650307578306,26.54815459847622,29.46671106943075,27.495614446130084,30.39669569548031,29.427544245090097,29.029714332259523,28.495043579327042,32.035348071543666,34.16518731769444,32.6691337028345,36.54106611721825,38.52149529292283,37.731470679623804,33.58800773734281,34.08941796004577,30.893338259991925,33.41386972624804,33.97240175829115,33.77889885287389,35.055884301804525,31.579216572789083,37.15737726274678,36.76976185571005,39.03418005711189,38.16047080400918,36.37839422514854,40.922885051013004,43.13104134470038,39.85146983673691,40.32956860202345,37.41714511316547,42.05890016825896,39.6792159169881,42.95548547105169,44.124778560246504,42.31930457005839,43.26361994286711,42.035509282430326,42.950108239209094,43.99912231271122,40.03683678907405,41.87197154223503,40.603095790353635,38.864125793648206,43.19910770491489,41.7225492488171,37.7074220959015,40.08928763462621,43.35359990657901,39.56992086865059,37.280517945677055,41.7340885068918,43.50906463700009,38.08307165077754,39.60108286262279,42.986717616336904,40.12776565384907,37.68234349658296,41.960985562608705,41.441820749505716,46.41802507715867,45.38651175954169,45.4511637383242,49.01330561898081,53.0187888458437,57.220045186122135,57.93729485269891,57.41883947627302,55.540189114249024,57.20094278317161,53.88211929614186,57.37856527897497,57.23676270738334,50.86771701599165,52.28164859696677,55.61535725924811,52.030631233909276,49.04098489390821,51.280420249854714,51.80340453456103,47.97106896353765,45.27339495546541,43.981078058995564,44.882776166634805,48.41413794374997,48.89944838800471,49.807539403244924,52.68437296423003,48.814595873637394,46.11733819205808,49.293943135878926,48.43390201674057,43.629240121455226,44.84240129361238,47.09190777934643,44.90903616682638,43.04713355198484,48.064669195343654,48.21144979959392,44.078257806382226,46.40072216590582,50.3327305266595,49.29788992566929,51.47744244617178,49.631407320515954,53.21482491760463,52.76378691295352,47.068580491150556,49.55701220155465,51.71367185611905,48.850798693420316,46.23666856118237,51.96317632617382,51.43552099970049,45.98311001429607,46.97934886708651,51.97331550209368,50.56369596592657,46.47433156785201,42.20029927738821,45.71429809275265,41.656548427257775,43.76954819015066,38.344613716347986,38.56357385457782,34.8052412856465,33.50458313105852,34.61775097744188,36.78743030382119,36.58443473489995,39.11687411514836,34.225584651190296,35.7439926868424,31.20900851957361,31.598324719035826,33.897492570658486,35.52204288759825,31.97054097877873,29.93745102876119,31.637274099817336,31.012513617048725,26.48852587242136,27.506726471494993,28.818036576063566,28.020246943138126,29.042548821961134,30.2239126267363,32.366436244993494],[26.546987502549094,25.570401934242547,27.30969296593606,21.61245064814821,24.033236372816262,20.167183699371392,18.67736643943837,20.50921619018964,16.046655489042113,14.386475636262995,14.283836762736959,18.223354385688282,18.16812766566634,13.550483097212254,17.14020751591982,20.167686540618256,19.147155836157808,21.67612530889796,23.103912511476555,26.999677390225433,29.271227440999894,33.797730243157226,33.7897446273866,33.54181157462359,31.730396734438667,27.22823432481979,26.8957258706498,23.32625365753343,23.676921080609606,24.194732118801554,23.81246383921788,26.0923049201842,28.227389979541083,30.965544564592772,30.081255741842792,28.091818204256754,29.395296192309033,29.731301174614707,30.426105805004713,36.87158578291955,33.13810059953369,32.24043603939025,36.69258916734331,37.018216979173616,37.13881976264031,37.36715197445593,40.60827115019251,40.81855442589753,39.064178538882,44.07726980588891,45.55567634948108,43.520652537422926,44.77631082386216,40.24778714191646,45.24674863368246,46.07031680130802,41.86561283337677,42.15317511839959,46.10424320395437,46.12444800445759,40.79325459203865,40.31585264189421,37.72214778499855,38.7225057777404,37.47457612381143,34.204750159211805,29.560929946917078,26.724874717930398,22.757583525663737,20.062095539813715,18.386508178946528,19.133473384035856,22.000176509605787,26.052164394691772,26.520978697550238,32.59803264206813,33.12708520169175,35.90907861109105,36.29369491045444,38.336790734272256,37.866234264437885,39.000900692960464,37.46851229249741,39.41626243675079,36.270121029424644,33.74324906117348,33.753849697325535,34.244336389368094,31.913824350260366,34.04185293281949,30.32454100886577,31.70275313723817,28.33497321438989,27.22286227089628,23.096977286633045,22.177708238863524,18.48125272114269,23.62594987920897,22.947898822343774,26.642778353103587,27.904649352656815,30.189169459679082,30.97747464571371,31.92007939616641,35.92291101289508,32.85435192240955,36.85021210250139,37.11206001245601,34.07243429142435,32.66069137675744,28.599115545757236,26.441000018749754,21.906373355692658,21.335289811938217,18.00144900045418,17.99030652436598,18.986072937180307,20.29699276278236,21.22530461393476,18.857972817581285,15.80516241166719,14.147438827090252,14.475846356940236,14.815638452236971,15.75681649470688,20.659240842195473,23.40508232585106,25.944237625332075,29.567270350739726,32.990805298027695,34.178936945775426,38.428502904877654,38.43236855167657,37.98063076184825,34.42337219735059,29.976752546375963,30.392717988107538,26.27720004719445,23.265131690077684,25.04856892304608,25.56461438955112,28.21433570876259,25.57455084454815,24.71663305017447,27.377411280253565,25.116265499522452,23.242589300479676,22.889037006520145,24.405841737343184,21.694021901142552,25.240053514145604,22.92567528644403,27.472146988731584,26.468847148754755,25.415363280928787,26.46882512078546,24.06217707648225,26.955925990754086,25.57653800807658,28.363379981417104,28.038173066851655,28.170742995448705,27.991872360568582,31.64012911210277,33.84176925845949,32.58856730356268,36.09374063556553,38.35863115383847,37.202697652643636,33.12397052524894,33.30296010565409,30.18492345956715,32.58522891739626,32.9766050900182,32.709375411591594,33.62841203698522,30.273572967385643,35.791181983492756,35.79842480180309,37.81840185040268,37.249695603629704,34.85810577888624,39.66694564753346,42.11427547381656,38.99756930026145,39.95094095649096,37.33648642438216,42.17152327040785,40.120026031418995,43.000383006749985,44.01314727327933,41.907425575839966,42.59270787546458,41.07960420635196,41.7511340768117,42.596008357765186,38.51331722325887,39.984367340523924,38.40675697113514,36.441727997426376,40.572236040377994,38.88428161956299,34.88228658902775,37.24137142684776,40.30407991393819,36.33643249599127,34.1758195070886,38.51200903110073,40.06047073895718,34.538457365786854,36.089588076560844,39.359634346803134,36.35128939972624,33.94699306707958,38.269033105527726,37.941345741181216,42.818181640913465,42.20670340933747,42.21487991640037,45.654082132919484,49.84354543581307,53.922805009552775,54.80869893133052,54.278932391784046,52.56453281461546,54.324208745631665,51.09650563373175,54.78554239786311,54.56707491066731,48.20638660171028,49.81882378688034,53.294522346135494,49.64865900313814,46.75478477079705,49.25842641021214,49.77260952170897,45.82553842057764,43.42321339648402,41.670482206752915,42.660643074755285,46.0865157247176,46.22342935351442,47.15925247306986,49.80815561954122,46.05042088800787,43.354733084630524,46.214124950854064,45.31246498564784,40.54151439962585,41.60678870033314,43.65929741898718,41.38090825045202,39.510697491793266,44.50132684489039,44.50395920022311,40.277556717459085,42.680325628369175,46.63601121000645,45.74001565975861,48.051833111554714,46.380026252945875,50.07014901567591,49.457614745828785,43.822751127732936,46.55649677043677,48.685358135168684,45.7602145392165,43.39928461176096,49.227481349969345,48.61712439859153,43.205726196037126,44.48755263472025,49.48095961367119,47.995822356323856,43.924228636584424,39.52053394850505,43.19021990454342,39.066284420213016,40.83208277186662,35.34873216959771,35.4504058946565,31.470660862834176,30.436307547537226,31.787706279467816,34.22335043344608,34.1633010745121,36.518214921899514,31.575862968196493,33.28360776704866,28.72810569103917,28.46176487574186,30.717886928188857,32.05981673923752,28.601341487542356,26.642775612919305,28.026510137508165,27.21612428835983,22.942199369240527,23.600717299175717,24.773627428810514,24.01149206502695,25.16818275422866,26.359547383597313,28.498619390154513],[25.2752891268986,24.26226588449874,26.28031973336946,20.346628344324277,23.47215745133394,20.27001688264241,19.4561212238813,22.090536003117883,18.07874757640878,16.8696295012959,17.544109982432843,21.520511036340604,21.147245784591775,16.74211419874143,20.848126460597964,23.6489255812152,22.073702762052626,24.78923021673022,25.742954780312136,29.66393457571224,31.782193711716314,36.195585323140286,35.987560536621935,35.311036038789425,33.59209249821635,29.173343869607724,28.90198072123041,25.514191462956003,26.463299650754784,27.24794912958901,27.53821041972151,29.62348591887789,32.08662706776311,34.825745358336235,33.62795432332536,31.375333977294456,32.50074636967815,32.38550220623423,32.65585161086586,39.04125675259149,34.90765338601578,34.44547376347619,38.9293235512484,38.80912361797839,38.578531422982095,38.45732321129969,41.59871780670002,42.26220107066793,40.44457355755999,45.22949618200829,47.074918003845625,45.22561142322316,46.79642712337669,42.318513928985084,47.62868242775521,48.44539635837193,44.27091554476861,44.87576346187249,48.8859419623052,48.62799433372954,43.44153879191113,43.342732532867124,40.995889262313725,41.75625045607641,40.24293184629752,37.11494557485067,32.48821079182543,29.953986730161304,25.829546290326753,23.585848062466884,21.644462562860184,22.454103183273137,25.63885924034365,29.393120569670938,30.14597349002397,36.298110802591886,36.56816497968139,39.59596229364067,39.74033869356238,41.500678389842115,40.975678425098934,41.70789365955827,40.246246118033845,41.78708314572209,38.41858926233693,36.31176670404747,36.5199960014825,37.38745194416878,35.136406649222074,37.71258897332306,34.06585504935025,35.64268527944095,32.381787348128846,31.326570693527426,27.10690976007306,26.41133112315344,22.601452840148966,27.514590600651946,26.55550443280191,30.044014347330105,31.26165654832732,33.01571907537833,33.827143977610085,34.209660531914196,37.87690062839391,34.39203394641225,38.17535451759011,37.99244444005136,34.67726381266774,33.76859599748694,29.392653027956758,27.594207098667134,23.23222538779658,22.488534216659023,19.824153495194313,19.21508598248059,20.765492598308047,21.375896496461984,23.05515424701791,21.366990435874968,17.968513836402625,16.338945577787953,15.376639690987775,15.769230194111719,16.65152357131538,21.03831167843062,23.71536820005324,26.43209045119045,30.01433680271723,33.83315291763215,34.28570729331242,38.74762099031694,38.77965101709699,38.880460651364054,34.88928350931796,30.54172296360166,30.165895386776608,26.235643435792422,23.162749905804013,25.613777578679642,25.70364150183559,28.817216773757778,26.768724085852657,25.902996797071502,28.942476118846702,27.200133328608395,25.00878151560911,24.98777810697593,26.327139633172344,23.722093144606887,27.13562347443319,25.214176184792308,29.86463749906076,28.95644603036347,28.421867368400317,29.40189466210094,26.943650994954467,29.41213994194481,28.258683800490473,30.33117211622582,29.628868595614687,30.264592227024927,29.320919292706236,33.34570332328043,34.90217720826362,33.0148983741963,36.464908263744846,38.35681696720574,36.93001944922683,32.8957950572212,33.37333760770297,30.63724743796244,33.60788109335623,34.440296640744776,34.62909859719493,35.819586117340876,32.84680783570572,38.442990021583654,38.11140571222449,39.95759126542577,38.90943069548947,36.37674609557845,40.891440308184,43.17343132655696,40.006722440464266,41.3105672741864,38.93890826109038,43.496717199959065,40.996589772788916,43.82286798324639,44.542249102522284,42.594246130369996,42.92252048751446,41.28509987818913,41.818469609572844,42.358215245894954,38.10845421059221,39.70238131525917,37.892957393198465,36.39189262320563,40.338595668790916,39.056173087592384,34.926100787888195,36.72442125074383,40.020471023191696,36.26335573340276,33.42091090887356,37.80532822214361,39.88228525513914,34.15062539993111,35.294057876401396,38.738297467612846,36.079787493558996,33.179625812611775,37.246924084003766,36.71090905589798,41.78845980301009,40.596594035549984,41.01491414815165,44.62088352865585,48.76790210553592,52.79888212714189,53.78714865404977,53.659141420763625,52.03670526933159,54.016589870928875,51.04420204997383,54.57532090238634,54.01757430336711,47.69038823104586,49.531327491250394,52.662185787551344,48.7818573529769,46.099619999692976,48.662324141219194,48.67991667219976,44.65718810102543,42.65753137870125,40.97951899297899,42.61647745424044,46.05881148811063,46.28338172604825,47.623712214538095,50.421852120085035,46.92604204596656,43.85271825283311,46.662752382028096,46.181971313179744,41.306419927083425,41.944438769148476,44.239720301651445,42.10781269990067,39.83116416542383,44.71348555537246,44.93726444096808,40.62692355532852,42.59527432775785,46.5533020376839,45.44180449149738,47.90017463336493,46.36834550372851,49.86803341114321,48.970047624927794,43.30702553823755,46.10433847785814,47.87984581632737,44.82064954370516,42.523509410411094,48.23097007177639,47.25439124318386,41.82450725890955,43.23867037825671,48.025938232631695,46.236771159062705,42.131706357549575,37.71390892819628,40.990891184273664,36.729919044817734,38.78508855922427,33.408508070627015,34.03233209826285,30.34170522678297,28.680709262451057,30.092083204589624,32.21911532318391,32.44608473757615,35.2712919424002,30.73988580555251,32.8804845448487,28.54909230733567,28.104968719359384,30.989400425186624,32.39784003160397,29.607795633705692,27.04722772385918,28.020199755244064,27.80839881125334,23.73447949871489,23.628568009048326,25.429730438759428,25.298581102592784,26.812514399351535,28.1645887274062,30.207765911727407],[23.11530631129681,22.62766367928885,24.87256884198717,19.79167106818897,23.408230203654785,19.134449753513568,18.781709330405757,20.797514075715007,16.54130742777331,16.37061905994697,16.551956877589145,19.985843936909315,20.919797812967985,16.868724344681556,20.729550707243817,23.658539494806256,23.017893865420298,26.057417712799623,27.890289787690715,31.55783167907364,34.08002456875658,38.51949146764319,38.66855739622947,38.34042362767098,36.34625474320527,31.874368668989383,31.207826394831812,27.456081518855424,27.71196472648244,27.738817929923616,27.7934245307981,29.35383203422698,31.480460403466633,34.692902589152474,33.81859351230206,32.14287402431032,32.91072304818209,33.71157204807229,34.32134846514722,40.681960603709484,37.12089033301297,36.618015366309315,41.100397123280686,41.340168699408395,41.494232692426685,41.454024200612984,44.75387381726907,45.10256022643297,43.03614342303327,47.9896300585955,49.5417929732784,47.47253071794373,48.87794144495678,44.23568096410059,49.259563114511494,50.361100614768816,46.20050501125407,46.39111595563107,50.47731242983293,50.667058912697435,45.41785992507958,45.010378921629204,42.36306632197593,43.615628491215546,42.305612333254174,38.87854610789602,34.47326461497245,31.45098423883251,27.720273857714346,24.823073699047118,23.38252964787005,24.18129901199964,26.852362062153166,31.038062412695176,31.18644536306289,37.250829998492684,37.72083265269618,40.28792616845596,40.603063652723705,42.64022580267814,41.78242832164834,42.81151707889015,40.808092031988096,42.70756592367522,39.69004497573905,37.26744302726758,37.76449813053226,37.98283721228271,36.159377673122236,38.08108064290126,34.576262489497616,36.02951650562875,32.440157748686325,30.930328713471177,26.67893139395973,25.551336562147277,21.728333516106357,26.45891050278926,25.238022348506234,28.073975651249,30.252486114814758,31.786977691367387,33.36324985069516,33.60820972586891,37.80993106512721,34.29869141507781,37.9081437605417,38.0931449984664,34.62811426064601,33.34567761742603,28.975042485206203,27.69410091508549,23.109406559903437,23.276010105906437,20.777649379930025,21.035236151788503,22.798833887110398,24.195612574629862,25.85470284474743,23.372506033385516,20.29924603082013,18.14334342772446,17.854571849031135,17.42144519312006,17.335636762104986,22.164879180306116,23.771067897729488,26.976175285812758,30.477491993518075,34.37622386789901,35.157409729873855,39.43932174380019,39.95533412064161,39.680748594937796,36.20867734318151,31.850631605958945,31.708845204714073,28.217032872365195,25.55447667269551,27.788075940046266,28.759784830857996,31.948847166040853,29.531142927687682,28.27704886182979,31.069519824844114,28.72834755113855,26.52111177250141,25.727189889414543,26.600653031021384,23.35071493511495,26.192066183545844,23.538722126144826,27.82018863441772,26.10799724402349,25.95235197542956,27.5723892436658,25.71382176542807,28.41339939831645,27.876017702942146,30.241456452080374,30.470502777354067,31.31465156755279,31.123039271662563,34.9844672804797,36.923335804917876,35.53907838662601,38.67570951442762,40.93978891988708,39.3027186151793,35.3486902465646,35.42453864898598,32.64512332391136,35.219018430465965,35.66491354900961,35.526392363858335,36.17680345429002,33.114064093729596,38.51257968328295,38.814373310858365,40.51545761169158,40.059167902058135,37.021751316079744,41.9156322596827,44.49797348638613,41.5373801886674,43.081876475482694,40.83974535616172,45.6704778831031,43.65799224610088,46.1942037152961,46.91549790575961,44.65309592890354,44.89701694336761,43.04905498514644,43.38387961853705,43.80693591487077,39.51236189766736,40.63874827474846,38.527070959540765,36.6176463028239,40.29613822757314,38.598150264186614,34.56985787135493,36.454489363748024,39.35284324593074,35.26920191041815,32.80299154457929,36.937720207815595,38.49347547717491,32.649928571339146,33.888468899990464,37.05440103341111,34.03212859886956,31.26017500624333,35.39870889952789,35.30214171643812,40.1513654735272,39.79904570698854,40.13221659762816,43.484028258232655,47.956686565962826,51.74931378077287,53.03255621014915,52.83318373334427,51.468353866569444,53.54003666647865,50.647037341236114,54.478613577899026,53.904119724203376,47.61570813499329,49.664218388424445,53.05480388544404,49.164108245584,46.58252661184638,49.44963604036969,49.5624496214072,45.43142030635075,43.73893569382702,41.47643349207472,43.042843479274175,46.3169760094145,46.039178594214306,47.26743250718368,49.66118030780583,46.23978782618387,43.34949083402887,45.676125763437085,44.960393874182586,40.224584499245616,40.77684871236905,42.61948544086523,40.26435928508152,38.13954719006162,42.97064691817541,42.824112026383624,38.35882180186816,40.612552304323685,44.60305620815883,43.83121002227889,46.50221858839747,45.2525073188906,48.96241952594681,47.85493169397616,42.33315453105789,45.51182747275516,47.2961732764583,44.16530303273927,42.286274596226406,48.13209654093017,47.06575892652797,41.73384894097892,43.55935060406613,48.3340709274882,46.451744735692245,42.39726109222001,37.80559686828462,41.2683690427037,36.90261494150701,38.38367063587576,32.95813537281926,33.4210386959072,29.340006112734976,28.162011403598434,30.009223566765254,32.532122840822176,32.99115789483728,35.50006174400689,30.89193997591001,33.1905695001736,28.83704415778888,27.43038107417173,30.04658075081649,30.908243527391996,28.085380440482247,25.926525358518624,26.36759218262229,25.579881161727094,22.074122207151348,21.288277932200803,22.512068647605968,22.182015698530652,23.81025513981648,24.932017766387556,26.917093815317912],[20.534572061253048,19.875375042471173,22.39887830617082,17.087201914097964,21.54754060453634,18.395336203695543,18.955554802099677,22.001517680105458,18.609283522719164,18.873589541227677,20.10162146299709,23.58191363841802,23.877684352460022,20.190548545632325,24.71354710734459,27.273350218230817,25.90445337424833,29.262319462106202,30.662567921010233,34.220801180986804,36.67992474654508,40.90822707260683,40.941380814147,40.106041603889786,38.08745780043074,33.76519577845113,33.003733578976,29.441116066466343,30.393236746957264,30.70111821920379,31.802224503980668,32.99436038042186,35.656966292838774,38.88793860609171,37.49109859991177,35.474490611924544,35.89957699302364,36.15672312305571,36.20471238748204,42.413090563676505,38.459056206138655,38.61565917741869,43.118787971776825,42.80482513644404,42.60358294287458,42.07143827948156,45.2715372612089,46.14711144667573,43.88500727645093,48.52889468358046,50.500436850433225,48.64274420354743,50.46881222939278,45.87390012602789,51.27149152379621,52.45845579829187,48.374345799368385,48.93967425859852,53.14321250334011,53.041343297742735,48.03658972338337,48.18519538755454,45.875519986654744,46.94604677366461,45.21744985806351,41.887296600478564,37.6711330129268,34.94389373920523,31.161718867457918,28.772307697483065,27.118550130322646,28.246366605198748,31.15090868094501,34.965521790327,35.27680850096438,41.51074448873799,41.46805810837403,44.351098790437376,44.23510810102883,45.83824624521901,44.79641251996245,45.231279139860845,43.25578408850733,44.57611740339211,41.312905793802514,39.4786596155986,40.3378281745787,41.02628937748503,39.438441126101864,42.001498531606586,38.67762968746533,40.55675550582785,37.08233646749698,35.59375092106426,31.14513639806508,30.480956795851043,26.432639408445517,30.745864243223856,29.130127856658834,31.74196576878724,33.65294611054911,34.40708909401016,35.93759929287818,35.381032050966475,39.04379378720837,35.00330791392705,38.26800737458208,37.84535810250051,34.05753678255175,33.48324978312035,28.777953833947745,28.013887689936798,23.79886771671131,23.76836804808631,22.249199997863215,21.858797582377413,24.336647623081564,25.01656614487383,27.706177609617825,25.910915965004374,22.521002709954402,20.303612855327824,18.59797921421562,18.056118569176476,17.77476863107281,21.722476910841184,23.080609714263606,26.4428088175411,29.79392047524962,34.15441943110823,33.96137870826785,38.44691511696462,39.04504382671724,39.48003325610379,35.53264273002093,31.38642968535066,30.23094570613063,27.163157312775205,24.616120668757265,27.603756494597484,28.278538037674107,32.05854640434195,30.356061102428278,28.973401727460026,32.16277542924529,30.439247191904997,27.830465225428938,27.4013536737022,27.988277923877966,24.974103711804194,27.59303227015589,25.657398527245896,30.04148447025432,28.745129847978063,29.21514918048718,30.52203887920874,28.522820117085526,30.54034324832534,30.286050312115485,31.60980509062926,31.364589565700502,32.91637204505967,31.801416990193047,36.09266113104674,37.18871599240131,35.09645247380584,38.01652232593421,39.85086477959874,37.8124671509449,34.00736770659826,34.37282907298097,32.148883488118365,35.36587325365631,36.34783294917689,36.8050952793143,37.78222735504288,35.29902672528254,40.74627413729362,40.598917489409764,42.0169311587364,40.952677028129294,37.69360379405132,42.16086654204377,44.53010287150669,41.56671982173595,43.63781911340888,41.79906860311512,46.26195745789367,43.78666862153364,46.11860135139003,46.425151127203755,44.31961515717506,44.0480106682547,42.00791665909982,42.11652015374022,42.1099887289409,37.640584215858105,38.85441189879172,36.43952298509717,35.146141682036955,38.5280971280079,37.39395298699077,33.25031379265142,34.364887524949374,37.54819871769955,33.8191508153585,30.467305048164214,34.62755030746793,36.90917590678663,30.88739537408437,31.567172498916406,34.96664449999945,32.50629116378227,29.111397128731703,32.865876690126825,32.42215210585434,37.52011769488304,36.33295863915705,37.17069868851267,40.7355023199862,45.08806163830915,48.83424001659907,50.20012829276649,50.50386288697372,49.24122546970031,51.576351495486776,49.028915617062346,52.623190474776976,51.61603190537325,45.41238314365763,47.74144463504017,50.66973653939776,46.50691898421658,44.21876866791473,47.158895553974396,46.64357489906872,42.43956514619793,41.304756949052866,39.114276926957906,41.506637379275645,44.76419433128668,44.60133090025748,46.3583932427305,48.95015991548048,45.90729413356398,42.52700973741733,44.79580647640147,44.67538514489475,39.83561046845311,39.81726563448027,42.02342612344122,39.92886771619859,37.261922819542185,41.90503823357488,42.12537627834455,37.63644252225648,39.23349025113562,43.18298477390661,42.07518424267277,44.877509760052,43.78249549688749,47.1950619012664,45.75363176753298,40.222986252284905,43.42467130817854,44.746289296336144,41.47474249960766,39.66922385343668,45.31541201716125,43.805444622298666,38.48321384932144,40.45946517489421,44.947015920937275,42.70729311984956,38.638609641886596,34.063701608305074,37.04001691887184,32.539946212370396,34.37505358432247,29.11426819621742,30.226583668048953,26.603042322519205,24.604195003598104,26.488975699414357,28.600336144400302,29.423985845408854,32.48209185184198,28.4766519338084,31.31034624069783,27.345373610618125,25.730402183837917,29.147227294698627,30.140255095802402,28.292774288215853,25.327061012975133,25.266515708497213,25.42516047026147,22.205817019744437,20.542042986485185,22.747073192776615,23.378850373328817,25.4065848486296,26.82998066026161,28.6722634716272],[15.332687524854872,15.270452150597768,18.20280922944551,14.252620965347887,19.64843352709169,15.993961046671794,17.791143241977796,20.59884271482274,17.86902079946465,19.60719625780246,20.999381726808192,23.699140966932454,24.907474349474676,22.08631022821289,26.62536089445822,28.926604792657255,28.11607089330355,31.999659661548417,34.13833234785088,37.235322750078154,40.15474063103151,44.216104875781056,44.66585811940557,43.954834490195175,41.535868464756355,37.287149191357244,35.94727721187481,32.11839581840673,32.6893046765411,32.29487869434975,33.932958477969926,34.17288812228018,36.8404823292168,40.57827708927265,39.13818751652147,37.57839869500052,37.292347518842405,38.26067967029192,38.33615142423742,44.3152423059307,40.89571555537575,41.44954762531767,45.92004348240466,45.70705088255983,45.80439059974729,45.070402871589025,48.410830161723624,49.17221624639065,46.45035846776864,51.086820853936395,52.90382696471503,50.89855771448971,52.77711024651455,48.036490552991005,53.27277797558144,54.894415581675496,50.91972623178272,51.20899702695903,55.57443832472329,55.856800743116985,50.9912775503826,51.17738173825138,48.77142498580308,50.35876641793508,48.5558375138874,44.91881956821011,41.206554833488894,38.10748179834628,34.84812758444422,32.10638770892772,30.92919746797907,32.38711519134605,34.77233840910784,38.7514157006209,38.389096233598465,44.60973926773665,44.33073161370115,46.872730029558966,46.58603402648278,48.16136347628894,46.55508231658438,46.903686380513754,44.29583000904317,45.62595950818812,42.682453417209295,40.89394359260167,42.36902835479839,42.59693645879177,41.753783364327155,44.00768158479344,41.07316007307123,43.189518367359554,39.46781796413474,37.478347130793516,32.91022637144599,32.22956153572035,28.085566720664126,31.656164692626096,29.464886664304167,31.07626043417807,33.76865591372606,33.62763570381961,35.97400601522434,34.67518698930743,38.520421970006396,34.17996347077334,36.9271140590157,36.584166278380465,32.49216068424836,31.9132719219105,27.138477853283085,27.394865035283868,23.34569009360627,24.304699296030574,23.680988234238733,23.930751607117088,26.97673096900348,28.173561783577256,31.408038930494694,29.121674513502228,25.989310599239847,23.21688852942176,21.553454948172106,20.059505156277368,18.570089579817502,22.235247530343198,21.98756506065787,25.912741692751265,28.94137104486419,33.55673848157333,33.21793883516818,37.48225463225563,38.746923810813634,39.104948054448,35.63233506004199,31.703657846370323,30.329669089051023,28.17642133874715,26.327911091994867,29.311796446074275,30.95914088066698,35.07434816897871,33.32223015625663,31.395451503064265,34.43736417512389,32.40249883431166,29.589440019050603,28.48290946086864,28.295754952793544,24.81031638486601,26.463339745100846,24.30269566647968,28.159873378704276,26.375061269776097,27.763088743266614,29.450165804173594,28.090504629646894,29.77097214813265,30.458566274117413,31.338191202447927,31.924381045121827,34.15726420771979,33.41619878603039,37.675360447251165,38.72168812922585,36.926981757561855,39.25063384966195,41.32749892689275,38.830844552524795,35.29342256923561,35.25800363479502,33.33556770326743,36.330631237127285,37.12733919427467,37.55104129963567,38.062052643907926,35.935229101548174,41.06623262472446,41.376973483874025,42.39392694113684,41.68598949845582,37.705198140466564,42.298225421802044,44.88641804174217,42.23597749212867,44.91431111174835,43.529825035147475,48.06317733297504,45.99373780828933,47.779216108980066,47.84242005624116,45.42884802737997,44.75701439152519,42.36184906920673,42.08249291743497,41.693068343571404,37.153948245896686,37.76603566177187,34.83963227018799,33.37291202079876,36.174812346889816,34.85096555374465,30.852919739386966,31.615835504388016,34.39157795968647,30.516400869067617,27.208744367958236,30.98598584813472,32.992374852014564,26.814388787070595,27.289324750390172,30.44108317921171,27.892125516647074,24.334674032198883,27.949700052242438,27.860644661324258,32.769506917819285,32.2344549547239,33.16448576472216,36.48803066710447,41.14497585125744,44.57461060981041,46.30642326030344,46.75235304321411,45.85926702356975,48.42177654660353,46.1764468971686,49.988327333419676,48.74772287319823,42.69266253060606,45.405926401482446,48.403843529049865,44.13861635829127,42.15091739125821,45.48940463955001,44.81163940017531,40.48583900354147,40.038613478237274,37.142029890472756,39.83813714101123,42.823309862249985,42.087953430606696,43.989092870061306,46.17213543587351,43.48664023110708,40.076345279222316,41.687515513397884,41.65285645035846,36.980080523487906,36.50184740495726,38.36437062620025,36.199836629236394,33.401157153805016,37.819099708911565,37.837344300828825,33.20472704080001,34.71542652831823,38.651099844411895,37.75301463956677,40.85061484814475,40.185039058960044,43.65768188824102,41.80366170236233,36.48638023960748,40.13660272541865,41.226242369869354,37.83018671322527,36.60606118470696,42.27030600040997,40.47114795362943,35.33564829585007,37.88597712266808,42.183622863506365,39.71501375684739,35.753765881778335,31.0240200509746,34.04384503071706,29.44379191652956,30.606224600101218,25.40994744629011,26.551805996944843,22.70849035364586,21.020851756210735,23.469997501147958,25.90795480409613,27.171986981048132,29.96163880943588,26.259046029956856,29.51387784908708,25.87016992488547,22.900595331426135,26.363873379451658,26.722131760331933,25.56359613924547,22.64801814033556,21.5531139283081,21.657215925015212,19.511417886566353,16.35823914374725,18.5537916193311,19.72885465058419,22.13328081418668,23.518439280814526,25.13642258138436],[17.17875964046061,17.90487541915399,20.888493372306833,17.958328777340764,23.120629302994146,18.416830069908247,20.039182451322706,21.873313200708875,18.64879828945415,20.71262084231787,21.24486028568708,23.496895143032077,25.767948949082225,22.91672097399484,26.849877313530143,29.41358337139346,29.396553361845463,33.11481891262925,35.678328657888244,38.833865488450776,41.83566358994911,46.061073966890234,46.60706545066225,46.26485743039245,43.86565764061324,39.49840905966944,38.19504982214113,34.18702164695321,34.160069081976616,33.35489344961828,34.171309555778045,34.45654813415694,36.558057306910655,40.46160010513235,39.55187490420927,38.44741919198436,38.26940856870149,39.89171646491401,40.41579783634713,46.47967803141163,43.43296657503037,43.55321086769224,48.01200769873657,48.21857318796293,48.58088290973352,48.15685645219252,51.57855187318448,51.99147980969354,49.35538795565514,54.20747644422011,55.73041374747932,53.55587226699137,55.134854772327444,50.32786247768826,55.24681824934309,56.885872835314515,52.86099444317875,52.79724701196931,57.0942804923615,57.67672943167686,52.62535890942019,52.3357500493598,49.60900978561032,51.408615221075905,49.97475526069021,46.23211334347046,42.39087860521377,39.014331154587026,35.83275262887477,32.62649313947474,31.661091039171747,32.75279236416889,34.93033759180306,39.261552361140666,38.71796271978739,44.72677265287062,44.947561328044394,47.105853855975916,47.21731423921471,49.192750788437245,47.61855881369382,48.46349696858253,45.64385734747803,47.4650281376403,44.80301336014065,42.55231097319477,43.882909495460645,43.58001261000299,42.715348565047485,44.27103198900901,41.25751901955098,42.9500091240596,39.06106084977763,36.90883696355743,32.551421864837984,31.312651971086193,27.439563850283353,31.133026239883794,29.08363318021908,30.326232433762605,33.810306596786205,33.98020707644749,36.80108729986713,35.881223336619776,40.28783181834847,36.238967405007486,39.03008687500202,39.190709827933894,35.19749823986725,34.075539147062926,29.523340187749135,29.816546382008653,25.52090711363516,26.954766001763367,25.84509369474948,26.659429375183617,29.328682349356747,31.03492570768263,33.62052880510711,30.82148991046866,27.917763474264607,25.136341179555792,24.36883077243114,22.842690190675928,21.24708286630646,25.49112388139458,24.952071169057906,28.976605293614796,32.00864598500568,36.40533257779678,36.67246894390711,40.73247584553041,42.17376796374411,42.03109070150896,39.01794973740616,34.99545119219597,34.186532255404906,31.95522931092048,30.113446386786716,32.687862982343184,34.60379906195071,38.42221654223493,36.21811629689494,34.31917582377733,37.09740991501729,34.56029492830155,31.98469303133419,30.4388947990184,30.230334467138405,26.349588973195594,27.753359625576323,24.75221628465903,28.167723083675273,25.426467937722887,26.870693630863567,29.244018209010555,28.423901019525186,30.59761025202067,31.483012916908162,33.08102119362008,34.337593724338625,36.23758012047545,36.24685520159294,40.21742193078267,41.8387126627911,40.525331066368466,42.89950286009439,45.272180201683064,42.91505866186905,39.322405537404435,39.05708895121579,36.847800162550804,39.39842497839802,39.778750064860496,39.74994977646503,39.84526090303284,37.35740481826649,42.33444911318078,43.19358561748575,44.30567773910137,44.18331319905654,40.12771049016711,45.087448249208876,47.898686920102584,45.330954612961,47.80410129027295,46.2279182776251,51.0428234681975,49.33086661496707,51.172140792739526,51.45043018500049,48.874231814291115,48.431403303026634,46.06092630557905,45.81149768925857,45.56163763452884,41.09867195274729,41.465872679436686,38.52930786043793,36.611935012347516,39.331826796796,37.52950376862649,33.70121842321761,34.79478255976657,37.13769991403875,32.939352567215714,30.29130021054421,33.77849961561349,35.066579929356806,28.946190928911548,29.650623291580924,32.387071888544625,29.340530852632572,26.146430607174565,29.82488871624363,30.306778644482083,34.82367503773131,35.3021074989862,36.057100448060375,39.04161222143159,43.969291222021944,47.141026742927394,49.118225256580345,49.381819295941575,48.68432426103475,51.2187804212001,48.93701584047305,53.01559701159661,51.91141972823033,45.909231487989594,48.64415630594145,51.93976353373111,47.78753234554616,45.78505789454597,49.24528581484841,48.829808670576504,44.501889705282345,44.03752171034806,40.831426108669795,43.15601428536001,46.024331241210206,44.926985680681575,46.53071294144307,48.32651046773135,45.56245102485197,42.513625130187414,43.766945558940286,43.311064194275126,38.841910526605595,38.5179324906454,39.824444792716854,37.37717652482208,34.951726824377616,39.324237976979234,38.84169225444917,34.09698799362683,36.09444891695059,40.029418603519574,39.59002525366335,42.82682495236405,42.37811259919402,46.089327411831924,44.1651492881829,39.04229591626295,42.95904834117025,44.173768219431054,40.794965224193895,39.90063901046148,45.653524252154945,43.90991498314847,38.918869007284286,41.68453753950014,45.99405283279817,43.55718938319553,39.69018321358062,34.91336061084904,38.07574240382861,33.49499655541645,34.12723602579975,29.005444756115917,29.875903563541367,25.688863757620272,24.65992606827448,27.36598349593178,30.094880900995147,31.397330325170685,33.794799519123174,29.919840548027192,33.01157024259081,29.249475271345894,25.826656453619236,28.699828334896957,28.541304525966993,26.98865698249563,24.80678316503516,23.46109782111536,22.627786263062863,21.00467641324461,17.563447653152984,18.60074346691417,19.15073750515538,21.491711232090168,22.402871220012347,23.932144531783383],[11.467427512294877,12.68617020782269,15.874205220697746,14.460877567025149,20.069802783090868,15.695076288632148,18.481990741602075,20.402116683882706,18.395588281897446,21.47165546585414,22.639657121789238,24.298684522700423,26.635969221030063,24.71466752843794,28.875949219108083,30.93820280374127,30.911896171600095,35.09680360186583,37.98731013308744,40.642807387784096,43.9662417612836,47.888056097700996,48.75253919583034,48.301989453234484,45.54741645370442,41.37112343032238,39.550651846977935,35.493656980158306,35.497277301242576,34.334487888204826,36.16048547979474,35.518183081295106,37.94958616227344,42.142998615636365,40.85368360730677,39.900227155742385,38.994186984646724,40.83443927014088,41.10254114274465,46.80864342745008,44.08032816174078,44.816485981762675,49.196427817183725,49.24612992468982,49.72639037539015,48.94912472651645,52.42277262158125,52.917883932317515,49.838359949792476,54.517771821666834,56.04198145721752,53.84634979088284,55.62785794708244,50.77525778692413,55.67500480668269,57.70385992960117,53.85676318532141,53.74616179181485,58.197457508520145,58.955115286658916,54.19218154288127,54.24429298324568,51.66318584261938,53.794592158625065,52.0626536742027,48.13901601641319,44.89245494685253,41.40514793043993,38.69310918843458,35.547437422968365,34.87476236738661,36.499437310024405,38.321950453803616,42.49059464769825,41.45952535509665,47.519277384167786,47.17058327373316,49.239187565982384,48.91865799769524,50.58202535300997,48.47281063545393,48.914338107128735,45.667377047205626,47.17244907111081,44.687406588200176,42.79268590372227,44.76383322760599,44.36732610303447,44.22989650693555,45.931916660037345,43.388105834382024,45.57391716483557,41.63198888647453,39.16200783836077,34.65171899868219,33.827243278599205,29.803731874874867,32.57708495829248,29.947253210681264,30.38881209272258,34.023447659676854,33.103705305846034,36.35997633381967,34.51101291618279,38.66737124316459,34.26417036633145,36.45580372759809,36.43057988855042,32.199814513192266,31.37785628417197,26.811851245632663,28.069515857360187,24.272306617328216,26.294052944337214,26.29082049859927,27.29458305607815,30.560068264616447,32.36036261690901,35.73726279077109,32.89422364504933,30.133345653491343,26.99336643332858,25.76041664112862,23.57783688703947,21.154906690838054,24.586130925242408,22.746429625002904,27.035420107777426,29.633421311752844,34.23257703169767,34.06891785514326,37.91008902663591,39.86165556615376,39.89286812129357,37.165673919921375,33.498942239412784,32.260477003155955,30.952441642011856,29.776643960285103,32.46328926898771,35.03188709273559,39.21701136566305,37.253733686410015,34.90624112191065,37.64032731600954,35.17387193404143,32.35092986484436,30.50288473829912,29.602577870009988,25.673981046659986,26.202508941628285,23.60216424042067,26.564347170353738,24.00055871562615,26.343298421620098,28.577865362003276,28.101711699908453,29.555657095327494,31.211624332313548,31.91059929487616,33.53827059214059,36.20017554877478,36.12624237249119,40.14018382779571,41.37152940812828,40.10665452421146,41.87394383017364,44.28742064017274,41.497832433047826,38.24364440537158,37.72710599274357,35.977415821230046,38.48958927161023,38.9123601617428,39.10374642472407,38.9957583081513,37.11659092080652,41.77668803984818,42.7292422773709,43.38505106670266,43.27053038195781,38.659817363412756,43.44328899363749,46.296291749885114,44.01981133006593,47.12512143064606,46.096522475829865,50.75867586478245,49.25289128123313,50.53914147335558,50.48207819483145,47.73737277118706,46.820095259514446,44.14996312462768,43.53154771638231,42.87390110871069,38.41164475925517,38.31411450230062,34.979773377951624,33.132132581580045,35.266043090613984,33.52739906132813,29.87308394756978,30.462378195326043,32.52248513383203,28.41805493867209,25.65219243610053,28.767075721144415,30.033343247541552,23.881603128542494,24.287206360255155,26.872258573646075,23.98735492984425,20.57758103606918,24.03999184391334,24.662452302500867,29.052522156548644,29.817684310999134,30.648382587818368,33.47622460792091,38.51400696308522,41.487625482824576,43.65489302152272,44.08872364949074,43.64806200936667,46.36858076293823,44.40498520704277,48.52205854781789,47.1673600998526,41.35780880680281,44.394330764094214,47.595396367303366,43.37191787587749,41.67392436784245,45.39460748511081,44.75525355638456,40.39478647388437,40.55492371108154,36.884318173699405,39.58638780697854,42.196040630035206,40.73602782979626,42.58723103583631,44.153842234739805,41.81264070515857,38.60700136132104,39.37152591824212,39.21560214923564,34.88742202545625,34.036441387977774,35.247287131340336,32.90982201418904,30.20865679161522,34.3103461244345,33.878034907052694,29.102309243455995,30.76009672707977,34.63898057067614,34.200852740802816,37.61471228941836,37.48083259852065,41.09812138657919,38.851622190405344,33.91868876213319,38.08348741434343,39.029750757306104,35.5880238179607,35.117960096959635,40.76372124410349,38.79506167411261,34.01054474878939,37.15346331027559,41.23138502088828,38.65685558523913,34.93188593640452,30.150964496351673,33.300627230520625,28.781726286800314,28.900750896403547,23.944313528045374,24.81196447123661,20.657524246327334,19.868850784881367,22.888036206869756,25.753434723471678,27.35285867598873,29.501405650764333,26.10004002047879,29.52083368470269,26.2654852333465,21.861934441756624,24.88572167320795,24.30117110052916,23.737656768753855,21.368112766197378,19.07583964981626,18.641816265009837,18.108452852440674,13.303309391071306,14.76392637030842,16.32001896889689,19.044763308500094,20.166337623423196,21.42688543867348],[15.424089042060986,17.034752647000733,20.367700817447176,19.010450220322237,24.74441539173517,20.394262468968897,22.930636206120653,24.72136899177453,22.237417253694684,24.98904778915605,25.72103706334664,27.509781279394772,30.093747990134982,27.706164937752536,31.654638438433363,34.0316825631503,34.129074632559465,38.05281406264316,40.76500540998282,43.74201351952888,46.87275726441309,50.991304627790974,51.644989026741484,51.224508251321886,48.70305782788738,44.40630744666381,42.898847204376956,38.865679826328254,38.83869233156645,37.79882515255726,38.971636277132475,38.78014978210333,40.895950453232665,45.01329497573981,44.04844834685198,43.11808095509403,42.56527414634784,44.399932313819285,44.8128698824429,50.6978526688867,47.8040896560049,48.23757435804021,52.67090131856338,52.78245601116702,53.158391826747156,52.519528222090976,55.95077475559855,56.47561501833766,53.61429395959346,58.347496297590524,59.920909084184494,57.753260911722805,59.4553869502777,54.61942590206981,59.52711869151902,61.376911716108026,57.42801131377146,57.32170463660867,61.69873725492121,62.38610151832822,57.4535935207835,57.27611738702043,54.56794783812513,56.52610680624859,55.00485110173182,51.17983263971322,47.54832361161813,44.10652390680502,41.082050398986425,37.85082751973843,36.98550923518331,38.16146043764883,40.244921739647886,44.58057123649982,43.85793292575006,49.844830812711216,49.93906746676001,51.979656401351995,51.97625944875455,53.871778645985465,52.01652115777995,52.70845322224096,49.59352500122778,51.28637647857809,48.75474859136322,46.6760666109485,48.355489318383206,47.920399464649755,47.43812160704597,48.922434509118226,46.115840712164754,47.9128446992768,43.95332606572307,41.60261315834664,37.24195421349897,36.011727244190986,32.167807378294924,35.41677828584248,33.07279906009911,33.6206854947226,37.530028675627754,37.03057257387699,40.315453477375016,38.808772250833265,43.13739312916714,38.84900734853303,41.14016185112379,41.18302828512106,36.974523741940274,36.08424151758524,31.540111102638054,32.62448730921337,28.665042077028797,30.509584224045188,30.05472457742515,30.938101663460394,33.93703727466618,35.611968688963294,38.58885755378466,35.80835176288474,32.92810777685939,30.00678256364577,28.941595300488025,27.1308550725837,25.097077937494387,28.8216353769689,27.380422245925402,31.62075279617485,34.31573313359937,38.900531416261806,38.75142467392985,42.65341317670706,44.51591945022377,44.56219330759435,41.726060870261996,37.96821371665897,36.713365601408874,35.14115116372464,33.67681607523479,36.44225208658745,38.607417815103254,42.691835220120225,40.69594032992254,38.58610670995598,41.387940211740016,38.9016707503311,36.1795797455121,34.449663020036105,33.80287390921482,29.828287960865914,30.554663254994885,27.630865375555068,30.512406433388353,27.44582196073819,29.660031835920645,32.24417070176298,31.872621855574643,33.67297500641428,35.154735417228736,36.26051155926506,37.83712914376785,40.21510742147146,40.16155175522327,44.18706969075756,45.53434573839755,44.142131036948456,46.14434472154919,48.44977146208696,45.74970024023852,42.39547175368147,42.04814148364161,40.208743968694925,42.81592364482732,43.24993241227986,43.35731488928492,43.27200320803837,41.13726990617512,45.87713492160011,46.89280724625868,47.705836004025585,47.632636445414875,43.16937012113018,48.012856307096506,50.85209307072076,48.48546578783543,51.40485648736718,50.17344367759559,54.882932101796825,53.2229711057997,54.73916629743917,54.75719170023984,52.10463027994391,51.27992048994155,48.674420157732925,48.122540362235014,47.480083725609475,42.984014881667804,42.99288078107422,39.64515616335949,37.894522606131126,39.98141476321582,38.27868768340184,34.64713602839071,35.11731862652114,37.134662643109074,33.06774314051382,30.22261320379327,33.19874155797225,34.437183440756144,28.314431909826414,28.51320732164218,30.91714166189037,28.08279373774885,24.576513590298255,27.68178630702163,28.484366813514608,32.698410754368005,33.53455207746832,34.67852282619752,37.4021782726475,42.50391083593886,45.21407610580161,47.62584830800657,48.28834346825688,48.0247777448841,50.84782066491643,49.019235957496484,53.12856905225704,51.65163311450536,45.92280371382845,49.050635914744966,52.14917367502916,47.85626170386315,46.26877553181585,50.00221632101267,49.17604594186603,44.80116664046517,45.114872949854565,41.496876363046596,44.33754444405899,46.938433177135245,45.44417570731591,47.3244883775265,48.80264264762399,46.51082333063883,43.34608314266958,43.97073944184034,43.77951029791798,39.53928220551221,38.62267370073234,39.651884473083356,37.258401909374776,34.61608917457136,38.55367661318962,37.94090438200549,33.13563030282283,34.776105213082204,38.57607100401619,38.29292835767839,41.85205278835823,41.932909788404295,45.51504267031599,43.05603807151343,38.282643680062684,42.56515079018981,43.315507935211556,39.81876690669848,39.55529306760509,45.093488109271334,42.87290198095527,38.19521339324791,41.48839011479416,45.377596323466584,42.567422282193675,38.88863648622997,34.12560218686086,36.88617514338335,32.25494633390812,32.40715225949684,27.706460457469444,28.98067175354652,25.019889415675426,23.94075811042991,27.06851841420909,29.704263074731806,31.54461924182002,33.92188520168506,30.726803054665268,34.23272101951958,30.980061819004934,26.62331523901187,29.656090436252928,28.953782632062797,28.3537273933343,26.133166391215905,23.756105697036695,23.134065815524043,22.734675910700318,17.905917901036037,18.894868883172613,20.109528147101862,22.72801012694436,23.490133969865614,24.610417272382634],[12.59201253419457,14.471346761119166,17.975017876317192,17.56512145546065,23.662180692078415,20.31858981343052,23.569787912523275,25.804119278417385,24.161526397501802,27.189389104970683,28.510299646110838,30.230431268894062,32.416707192319976,30.405646803733593,34.68886147394302,36.76910413031189,36.513233155657176,40.68079642879936,43.29024693063396,46.058672514289235,49.253538543145076,53.16686375438834,53.87414723568088,53.19597834706397,50.55074311366524,46.40475525097645,44.696176510157066,40.76077008018677,41.05001404645133,40.05761146612074,41.99421670025892,41.40630313968215,43.88938246187334,48.06378108338597,46.71956491903683,45.65192168861611,44.73745862433065,46.35272814262092,46.41971448229215,52.07315238389329,49.123535865040445,50.06086616317254,54.45640158545422,54.25801745186426,54.51066909087753,53.524538937015286,56.90551053390132,57.70163586721101,54.60667738654847,59.09804773515868,60.85927660866932,58.7968258376707,60.76424992473085,55.966200987890645,61.02581122162798,63.03833365775532,59.20475968377248,59.2716309192779,63.74278256278658,64.34270087589432,59.637325346318256,59.84159897417372,57.34829791160634,59.32132867836606,57.50338364691745,53.67034068991831,50.31522369660976,46.975665970891704,44.06136672716183,41.06728271330413,40.183608991428336,41.66855505355849,43.76844212297019,47.90326660867248,47.114863469263746,53.222968951202155,52.88756296128931,55.06880977727729,54.71521686352602,56.29302996830476,54.1896376848153,54.45193786921227,51.24004189886411,52.52507099683599,49.94585864696221,48.28829921820665,50.32973960794049,50.10724362371256,49.95024576842366,51.80787104945835,49.221141941110545,51.38266070078027,47.46471605925942,45.05583316829102,40.5469173646553,39.67749556724345,35.665350601881656,38.52087675671974,35.87696355950728,36.178063746259106,39.86388072527418,38.68151644337355,41.99072420121348,39.81516511584336,43.70258302392822,39.088690025586914,40.93754056181385,40.577421067354436,36.185848595292796,35.81932888366481,31.215810944913922,32.89037425779988,29.3991459092411,31.286223872846342,31.605105770111297,32.26386586786844,35.67764770586292,37.079275497182586,40.6885175444144,38.18340734444394,35.23960331804393,32.2202801773223,30.526689988939637,28.51504074164471,26.217579114016704,29.157296059020588,27.155546455518905,31.423180161570762,33.79089834721487,38.584875360843895,37.75645520172087,41.59440841847113,43.68463924224196,44.16891811704123,41.25259242807822,37.81484178351645,35.9169346076621,34.97522417341007,33.867860566209096,36.931946090106884,39.17516152581084,43.579027858208306,41.995149802816016,39.704537251920584,42.62492407892837,40.46377111079269,37.524047764015464,35.89469168057984,34.92315742296189,31.146750413506176,31.499117144043996,29.17384753335428,31.927701193096315,29.309588936108863,31.98438546502037,34.24671405949549,33.855024137039514,35.06714557576437,36.860458443798095,37.15803550219249,38.58811363450827,41.51059630297085,41.00434321069979,45.1890146155393,45.98934933217578,44.30532967873244,45.93749663567192,48.01876949538265,44.98314024616226,41.903591646728174,41.59739537896425,40.239467348625446,43.08982239831049,43.78979112066916,44.26225239753046,44.27792896809847,42.64847675578906,47.271314827474,48.07046228186418,48.583978912072375,48.20582449805653,43.493446407117354,47.98768030239875,50.69949816025035,48.47109782864496,51.85259474183397,51.02481606074877,55.45898999189863,53.672347390461056,54.86569062855386,54.55019651512143,51.9303691394104,50.671740519423324,47.87923973074499,47.061406011511814,46.022226724119676,41.50958994061366,41.35065869384913,37.70358895304128,36.37314536181467,37.96159387968276,36.65567483942373,33.12429149616528,32.86575997222073,34.86152929289179,31.158488275494367,27.764517605781855,30.4503783767907,32.122146313729345,26.024395995787795,25.624991636921884,28.019167511383653,25.75697422938647,21.748099536977573,24.274839745053082,24.934642317299737,29.15770886392716,29.588314217360445,31.17308977684307,33.897038348026705,38.941641480574035,41.451290269159585,44.03681712870773,45.139938325854644,45.09343083965957,48.15413071084145,46.72132230168546,50.663291580805,48.80608080693534,43.29482286896485,46.709766161796225,49.448293561339014,44.99729806824636,43.76950550240034,47.62957525556265,46.32431839053542,41.94364869051045,42.911171358603376,39.15798389977793,42.61635907593374,45.04741502670188,43.467967383115536,45.74925170857337,47.220909304170505,45.36813739953186,41.89778544311333,42.253343171723905,42.559327587561405,38.394495363626056,36.90899968552577,38.09565804579958,35.96509985177834,32.90744464389306,36.497999047094964,36.15504846894245,31.422267263720844,32.39653042506967,36.06752271100142,35.57407295557395,39.27621316068959,39.63080741796353,42.927092934193226,40.0966478418213,35.500453609206055,39.87844152861825,40.163276136679706,36.57603236531245,36.62781664788094,41.898032641234046,39.263277380516705,34.78400370401032,38.36663956926656,41.87685476232462,38.757757124017445,35.20351019593674,30.51692252965897,32.84389690826389,28.19646234267378,28.22570153938852,23.883082159370936,25.66564206218933,22.186552084043235,20.686448772160542,23.98905097231569,26.34030882998469,28.60206546498883,31.134045426268194,28.677388706318805,32.5648906526071,29.86890449673683,25.07765298995957,28.53789370178757,27.736053979728766,28.16009930256608,25.49885602833572,22.49293717813708,22.679035837709737,22.904033072108426,17.32410879919249,19.038388507211213,21.13238825766433,23.927639662910174,24.910638181364828,25.81152570444768],[7.502862107574485,10.065240271702267,13.391077180600435,15.026795933066943,20.796334047220906,17.993422808847228,21.910236515874534,23.952843244911158,23.43079453396367,27.068813523673494,28.777386190517017,29.936306754586788,32.11120736747288,30.959323148442024,35.247210574788326,36.85067663690483,36.66800801603555,41.13528608854075,44.07798545747456,46.3245300067044,49.80340725322652,53.398040879338076,54.44479503010114,53.76520010247835,50.78940537965567,46.86466804402923,44.683744358570976,40.74362590899103,40.95243132175732,39.616096949527645,42.34695510146057,40.957056876408956,43.66530638597296,48.02170859480846,46.37521287394657,45.49472194336335,43.95185931653405,45.80331227811557,45.70491499575416,50.93965830435514,48.41837685619074,49.83574070337084,54.089980567745116,53.840169389346435,54.286554736733905,53.05845757235891,56.48256937628946,57.232563675449654,53.75794313817302,58.09086323469001,59.74434995401373,57.64016746371698,59.71164269245429,54.91152574757345,59.831214407417896,62.197585277830804,58.56577220204971,58.52508955681587,63.08627737534286,63.90189120190191,59.49222223258493,59.95547211267771,57.590314708549236,59.90163355145935,57.860859965307334,53.87353965086772,51.1276313594997,47.67982788920558,45.28132223186218,42.323673294900004,41.77183541646609,43.72636580312019,45.40781187257949,49.3754827611458,48.09080202543169,54.162629797922456,53.3196933697519,55.36049675387941,54.630415794425424,55.93148036851929,53.36175599318922,53.302479438053005,49.731490299581,50.76322692143264,48.43202373516696,47.062232895108416,49.635607127598085,49.27588655216142,49.7860922966286,51.700885303222435,49.58041702344243,52.160068044023845,48.236852328296465,45.573058980461774,41.009152341898684,40.52458251072982,36.464847684268335,38.46906900231395,35.4152128641923,35.06995674499223,38.72816976652104,36.65829523565572,40.24481666881206,37.343821112574275,40.93809904248224,36.17213986218715,37.44345974187435,36.991454255637436,32.53773203193116,32.38422450926483,27.990284947969364,30.456532416263062,27.559197228229582,29.929062882096584,31.121630522883596,32.03337525122528,35.78621145811679,37.37513258812319,41.49197393310646,38.875329311519295,36.18815396573294,32.92076213923755,31.080322487000526,28.55446181408627,25.652664068906546,27.82000060577281,24.716852098724676,28.991389453481524,30.85914997457194,35.6189475835891,34.56581825000292,38.048786034661475,40.586040663615755,41.09635327955989,38.61658942610257,35.579074484318426,33.52336593660174,33.43778386896661,32.99602578396333,35.915394882826725,38.81877838435883,43.374864338391056,41.90216946520192,39.239977140934265,41.97764524359357,39.82879054883246,36.791418466226624,34.873300305973984,33.328834057268814,29.64561557970045,29.211425167097964,27.345744337725378,29.58149884994684,27.334850790707687,30.58245925510746,32.58168862430059,32.47729343149707,33.037132062372116,35.427255693282675,34.98422618911637,36.77662430639564,40.24401181387403,39.81960542820911,43.879918310113396,44.43958215782814,42.9875632857365,44.03042582249259,46.22729575638203,42.90410054577849,40.18636826710009,39.56021921858954,38.56733236492046,41.18316824133134,41.81370938789874,42.39605675952101,42.17789606299254,41.09382019822842,45.31817154836895,46.233046746458086,46.34032422031798,46.061518441860116,40.94549499770875,45.24380822580934,47.988759720765785,46.08477757720093,49.9356741739237,49.58760793541236,53.87934618257064,52.424349170760905,53.08405190338213,52.52980922605256,49.74257362901964,48.14162261872706,45.13558225020003,44.01570003100001,42.68997916835646,38.30551468030399,37.654460174896336,33.75334713583813,32.392728492420076,33.409741570785364,32.09732660402788,28.858070689299296,28.224564409294818,29.830476465600324,26.264810321805093,23.001028950705344,25.20284077929919,26.710674553905,20.772481984801107,20.122852522855986,22.28242200135413,20.203717722205933,16.118782782573597,18.40645680283889,19.256366241677895,23.27750067718251,24.200607437496032,25.6666855081092,28.17291776459512,33.313022215837954,35.70080401422097,38.37931303513452,39.47782977927921,39.62177081772305,42.77009579776507,41.566636195918335,45.554846347388064,43.58345842403873,38.28097948598134,41.881178878073875,44.61762667538432,40.217119881667905,39.22020318045664,43.273237622866375,41.948785498477235,37.607285294711446,39.02675891699507,34.84072459428071,38.42295144140586,40.56617645120139,38.63732129853108,41.03403485150118,42.252664034740775,40.76864333111874,37.2685489366774,37.17695576310314,37.70126670228285,33.75100519715856,31.85629072692585,32.920439852321614,30.933297040259763,27.70830417167702,30.99887769777407,30.721323922467118,26.068899698911096,26.716522687232793,30.30381187671045,29.819037653096885,33.6107669030107,34.2075929890869,37.42638552325554,34.40386099580129,30.01886227043539,34.570021769467616,34.70922488099785,31.131391028823955,31.573639861634526,36.73899906621005,34.05808015092587,29.81828192679074,33.68394655887222,37.029821201614794,33.95084966609111,30.57955477003354,25.955955027903606,28.469890713217723,24.0454179012722,23.357677565570206,19.19516465851999,20.693322387910424,17.280865937323608,16.365288253451833,19.86281715404794,22.427150714436937,24.803847635824035,26.810768397890232,24.795955317189566,28.770287267356668,26.63063632454634,21.09693035855025,24.41757565772121,23.20921796930063,24.548361972426807,21.926947944400627,18.181118704466538,18.772323828789432,20.056702111215124,13.812371183790644,15.774083582817447,18.62380282858403,21.485394328498312,22.63753648567917,23.257103456971667],[10.372502663829858,12.157325439513688,15.45959965352995,16.39529043718545,22.429386486007054,20.66345060262984,24.533041500909448,27.199111305844216,26.618665738211185,29.811593625612165,31.773498149133754,33.38125741609325,35.00316269397768,33.5079595248596,38.07817459717882,39.7512638676015,39.07655100645604,43.4665873304274,45.93909213718689,48.378154695139365,51.63031786184052,55.227961283657514,56.02365004432086,55.049328335782626,52.254008886494944,48.36306532872104,46.399729606394615,42.647718816990555,43.30452160458805,42.382026586137236,45.23581740358289,44.170436509803324,47.08248866073171,51.26579433918331,49.45185939343244,48.224047059831044,46.87058775136989,48.18635974256825,47.82348172845269,53.09523296277886,50.138277667498954,51.70157123156809,55.98826949204855,55.414588694069515,55.538688978040774,54.13192740811299,57.41851152935275,58.518865054476564,55.14767402508252,59.28294391839972,61.24717603927234,59.337892644921055,61.6170163923885,56.906780855753816,62.09837914418226,64.31476917513399,60.66136975275643,60.92927821239892,65.48834916888312,65.98170323814286,61.61207021292337,62.30219291079316,60.10520014281301,62.100788121095974,59.916659909849535,56.10169736603018,53.161416352998216,49.97416052895896,47.269814835776984,44.596228882947656,43.73466877572111,45.611364020882704,47.659147669979596,51.496077717665926,50.598058194578535,56.79615759843885,55.9043569933802,58.240409080943145,57.43705121896803,58.59023197729063,56.19228616633928,55.90365585326779,52.61689513924294,53.363248420662586,50.761075525046486,49.65787308004954,52.12912568507842,52.178784525461836,52.436974606342666,54.74938760844768,52.472468120279316,55.08510164894886,51.259824661485666,48.806354658018265,44.167331858440576,43.76808707802566,39.604940606361694,41.94360110520831,38.995419757704695,39.059774661936345,42.33164267269571,40.363822613484295,43.584803452582484,40.63776432374452,43.87103400635039,38.94270749607324,40.2067869896077,39.321300152505174,34.807048419605515,35.14170727417786,30.60334599529027,32.94130226308108,30.16728520618033,32.03025717958489,33.292387375830344,33.68250766895222,37.50609432189577,38.57808511856515,42.88910081815292,40.73576376695603,37.80719728264532,34.73026896663743,32.371167086478415,30.156918767286772,27.619643233987002,29.454241600742545,26.827506463554123,30.937306188214624,32.80219950188352,37.72388829533456,36.04456752925532,39.713251224686765,42.04654925591662,43.08281852922247,40.12326477570501,37.18014241750518,34.52780483004988,34.443633787657895,33.85621386665236,37.1710714954463,39.51467502994092,44.22106883655101,43.15655121059239,40.665443434676064,43.65188141387601,41.924056601392024,38.785193103838424,37.311108941475496,35.96799069602249,32.56824665757298,32.48488104473487,31.008932127749468,33.580927257130504,31.683584427304677,34.73748594479026,36.49896817046455,36.034935845945206,36.49905147610882,38.5904861976635,37.876948724624164,39.0682351377084,42.604474052525234,41.55767028494689,45.84926274158863,45.95649693932729,43.965756004411226,45.07784861589509,46.863011534276644,43.44781701652868,40.79053560805759,40.515241304384006,39.79724965137962,42.8725717073326,43.888177865526565,44.81076714418529,44.963440328906955,43.996543535787666,48.40480651225681,48.89979004787711,49.03266881081512,48.264043051405054,43.33134991074179,47.29769495532295,49.803111995575264,47.78612768711856,51.70357037109631,51.40435211801786,55.440268022123036,53.54026006432889,54.286036784308436,53.549335428894906,51.00992981720386,49.21136952228782,46.21977453495401,45.076509782988914,43.55007084192635,39.10140548332414,38.723922518556186,34.77190601461811,34.03221844794548,34.95441777166309,34.228231731506526,30.9048069392683,29.685424723525678,31.65288512240106,28.564835645340032,24.490576185645104,26.740196780676737,29.050999552002708,23.195091992116392,21.972435395307723,24.364065771306194,23.05436147307827,18.49392003191474,20.100937309167865,20.391768519637996,24.619327221210572,24.2770173872631,26.441109570446184,29.190688061456342,34.04297014910068,36.35662196584564,39.06962586568189,40.71190226125813,40.8876281023467,44.20606342203746,43.27025733522946,46.927042044290765,44.614466804912645,39.42807616926312,43.147764003349444,45.38576626666184,40.781917978647705,40.02013786755794,43.98109974246598,42.08574395607723,37.752541964149444,39.53953981735549,35.68399089189964,39.88021569835564,42.06786555039201,40.44545901876477,43.21627656732327,44.714628713893816,43.42822059472347,39.60158978032246,39.68075611801456,40.64837909138081,36.624769839922486,34.46262882740954,35.92104340724666,34.215219744886355,30.669875851665164,33.75961364965757,33.87116618910491,29.393470698865976,29.410001782916027,32.838338617440996,31.978969615200608,35.74980707382055,36.380830282635124,39.232924212252364,36.010106169373756,31.66832333483061,36.04150507004102,35.72844338363139,32.07560752521522,32.479254545054914,37.32879567516049,34.20460340038369,30.01733298148844,33.90070837232669,36.89211139267247,33.42291906141743,30.059903986392783,25.550389767239004,27.289173721285746,22.68895910983627,22.566598032347425,18.795590721665388,21.264853777155697,18.66507835722845,16.575943483419834,19.955908300667463,21.822019261324574,24.593256006735196,27.252928390068053,25.878325623281498,30.13470370110666,28.26945270467982,23.16513748324257,27.05484561124995,26.237143793400023,27.937944271534434,24.796460826169504,21.22894945499833,22.535767264814574,23.404279959369376,17.498064601237026,20.037953617106577,22.999174967188264,25.829120987492647,27.083878239390643,27.73784389265802],[10.714859099844155,12.830436391259246,15.616951131264841,18.21464726223448,23.76821882928113,22.514776118377,26.6829974870467,29.104826899231366,29.1454283212301,32.66148971903979,34.72053560488847,35.954959950197136,37.69085317929088,36.64737828321517,41.13830433072539,42.58329958087289,42.0202034705808,46.53488764370297,49.18610332936642,51.354316245077996,54.7432282842342,58.16499934105799,59.13335799591813,58.153369347536746,55.20263962545929,51.445767628592876,49.247618286647786,45.51473679587678,46.10327392013895,44.9642753296116,48.16424884359326,46.6557806813452,49.60699180378803,53.90636966338305,51.99236000547434,50.92445176862788,49.21735502839569,50.71220150471963,50.26662303063236,55.25267798578055,52.56886610824608,54.405840794182396,58.59421198467882,57.98416189608031,58.20185070073077,56.63878990632845,59.9213529296169,61.02400881606373,57.442443188884724,61.43113855535701,63.345197750537004,61.43589995931214,63.779767021510025,59.09408220891476,64.1743287499778,66.60411430345928,63.084204577489245,63.28012454550579,67.87744366602867,68.50512353973868,64.31808588737091,65.13218745215927,62.989199885198026,65.17631218321004,62.89718976811277,59.00622859241599,56.383796109310204,53.13461103435212,50.69080236784753,48.007576790035436,47.31360956322389,49.359273292465986,51.20737318916183,54.99354361852982,53.844202530330584,59.99028261983801,58.884490610232994,61.09882229071728,60.12633147030934,61.149263650694806,58.47867723203377,58.02067629259579,54.501575046291144,55.09859910251592,52.68447223380037,51.762649380262964,54.54490278234818,54.472498076788675,55.12577578358713,57.39315388648376,55.37648683772475,58.15484866099895,54.31078955036972,51.70139155680554,47.08003813828218,46.798534723852896,42.66874676751692,44.55201071467869,41.40278074731736,40.98445930352416,44.365851551845985,41.85587684297267,45.312505425486506,41.914053473317075,44.93241393349378,39.954575311496505,40.717178534758375,39.753489074538315,35.2474728487231,35.78134183509229,31.50947249605716,34.41526802113798,32.09013121859419,34.2365262954187,35.98278844256829,36.511149131033264,40.47659614632063,41.62517762920223,46.16753439992544,43.9632968781059,41.17682054564695,38.00132419371269,35.60164025641532,33.16223427599226,30.346713165954796,31.698332939161496,28.413085950974224,32.42689316716009,33.86782960058708,38.70017064263484,36.776488692766485,40.106887680664656,42.781765866563646,43.89660444728624,41.27367168769509,38.68825482720096,35.861924365951126,36.41162322023403,36.24972833845629,39.480823167983424,42.14230546752385,46.91822082016066,45.96378279264249,43.29031185355773,46.158659290979855,44.45423964878279,41.286461391432645,39.64690297397126,37.96039768966325,34.63627320975482,34.007503811605126,32.76249082028785,34.84993594847125,33.019918779488755,36.468448657199275,38.18251931667825,38.00908297101133,38.09601041333499,40.59131529197569,39.445054110548355,40.893228084408726,44.747351407935994,43.7540523960289,47.93914353434223,47.85902811522311,45.97435497978592,46.66935608363742,48.446938871909396,44.823315422320874,42.481870431931625,42.03862815865261,41.638157114502754,44.56676880128165,45.54744890171694,46.54228824183762,46.516506125014764,45.90892960649275,49.998532068210345,50.60888819253827,50.456003919336794,49.77103242065438,44.584104382699294,48.34698924094945,50.83892511324669,49.0819503306696,53.32562881339525,53.364994700978365,57.26129217721727,55.55051285646194,55.928998944681815,54.98797477245927,52.378154462651686,50.290799515730164,47.148145764352456,45.74658287749308,43.92577749809434,39.632315592558086,38.86063034218494,34.68919136608009,34.07755685885771,34.33973167742384,33.72870110104642,30.78117705159318,29.03685498973975,30.554762261692055,27.80185386696034,23.825643393451134,25.347548867933604,27.52802157420336,22.112483662511274,20.38307365375936,22.275213718493934,21.462861989248726,16.913486303389522,17.56744593907108,18.10839457188412,21.766498704143793,21.807230872012358,24.23070155537403,26.589183528748354,31.451461836969035,33.31125800025965,36.33870939450986,38.27552451037119,38.83004753430382,42.32385971362058,41.81479194927836,45.42033728092994,42.843967504477746,38.0473883438043,42.016866625429756,44.062964856931494,39.48184623905661,39.11773735557979,43.237233643958014,41.103389690435655,36.86776569171524,39.30208929974904,35.128492013715785,39.58201067347043,41.432932080629364,39.473637563375426,42.41153842067591,43.5964836365791,42.782691518324896,38.9577241714984,38.4798987255145,39.707911331724134,36.02340956305641,33.38485187707836,34.61040982039597,33.09483369279133,29.44664162653958,31.96934357040114,32.083569360783265,27.819675162249677,27.324444330681633,30.46765239207799,29.686674795507706,33.60273115074393,34.681269515882136,37.301896808395185,33.68843262548463,29.828252951507157,34.37338465185148,33.643578041462256,30.010316446888112,31.03400947723389,35.517244987406045,32.08182371524375,28.38145759640351,32.64331545814145,35.159595352837826,31.5099112406468,28.487282098741822,24.226092885159364,25.608045221487824,21.299663773148744,20.406279218099087,17.431342346802623,20.012336276320433,17.98956311557777,16.2563210170525,19.681393287392424,21.36755917780793,24.41669484806315,26.684485685278833,26.06823235435583,30.38306981196054,29.1305321288683,23.55199514194478,27.236710109909744,26.015761724342898,28.528135109693554,25.56067426374382,21.43619046775809,22.981216497001334,24.745827427458416,18.55982141412379,20.923471801023293,24.192325099962616,26.952373991308477,28.127552870928433,28.466333805221893],[9.669018114954302,10.706802882129958,13.245506122401155,15.34524719585667,20.749513778169142,20.44560551792786,24.581373392836486,27.46331941382372,27.794973073196353,31.026101573619776,33.45573118997666,34.90705638240529,36.01969147679075,35.0472215581585,39.73467551344195,41.00723725332387,40.03161072671977,44.55284326744615,46.95013346473812,49.01788424073929,52.32592844928661,55.594045595788174,56.517612903404434,55.35196691390037,52.40628815359399,48.78964498017896,46.575471652819076,43.0133457939708,43.91392824881879,43.02052496470287,46.634556726222776,45.13817416805907,48.38438044227074,52.526977867411105,50.32188061682561,48.99525725437915,47.255803218051675,48.34034955782178,47.6377874639954,52.49743528414894,49.640504011879884,51.71903126989865,55.854755884462755,55.01181561301688,55.088582232719645,53.35700510357138,56.55996382528064,57.84291665293571,54.233707896025074,58.051665178685695,60.11348818585605,58.321580035269776,60.82163758423885,56.21972960508631,61.44308126609155,63.837948556161464,60.37950966368285,60.78463747348942,65.38296498669669,65.82536678088347,61.786668702189345,62.87472762065497,60.94229508305539,62.992053115690275,60.51674053038502,56.72342181123624,54.22931217069874,51.16975750390801,48.74910939011103,46.350749577127075,45.58326911008575,47.81742115514375,49.71470622323551,53.258543230398736,52.19838024187837,58.40002398704249,57.00827382250775,59.4297034211476,58.2303166460226,59.00508642736111,56.35237147038348,55.60234181351837,52.2681911940702,52.55945559759309,49.990768246739805,49.35967094568146,52.187849972023386,52.439917573286735,53.087479623792774,55.748182779408,53.78982452918384,56.78989223140298,53.07916984047923,50.597283699810944,45.90288752358277,45.93532798732686,41.70204331637714,43.526769219092806,40.36591323972,40.25997445002617,43.07493935506736,40.49012262804654,43.549876461908816,40.011677144562945,42.625160844258474,37.532637491770565,38.297104580910414,36.990225137794816,32.47606151583159,33.3884328121809,29.03667194839808,31.857972259129753,29.788600322707094,31.6104410172659,33.65209762095379,33.882016133840416,37.95861938066564,38.82545148687399,43.64544994027346,41.74459836202258,38.94001400424131,35.840559373513514,33.067609981115595,30.67526871169628,27.96217395511953,28.798235221705266,25.675283914558047,29.492693173474294,30.861610927001745,35.75716927808308,33.43601899868459,36.876373382511005,39.39017626582465,40.830838904286146,37.931541600022946,35.469469180787996,32.304392427570164,32.99655767758326,32.92993733644141,36.297048008425804,38.81423493305073,43.66966049767726,42.9943949217101,40.33040975039086,43.27165979360244,41.8895922303542,38.65344752120485,37.29211172738257,35.64313933979428,32.65081274847613,32.2037623450491,31.507812528002543,33.90064952450178,32.74098470903001,35.9628919883097,37.21484188495622,36.66598792030766,36.483349535504246,38.76875857468843,37.215436951095654,38.20791593520174,42.2005942761428,40.78274791396686,45.05789673641167,44.625657292668556,42.495102552044834,43.112503880803395,44.69650628441511,41.0123476519086,38.763847821248866,38.445870546455204,38.26077220703142,41.40101692227464,42.6247185014623,43.88854597032602,44.13464732591376,43.74673406357389,47.8974024314513,48.138705395172536,47.945311391049046,46.88707183606015,41.8284446577844,45.308044983744736,47.6279759064636,45.82930594279339,50.1507318381523,50.30984923349666,53.99132499017627,52.097548047840036,52.424055493033016,51.36225195544016,48.87309542002461,46.66165077899388,43.53334982808667,42.13147839128015,40.242178464611655,35.92237887305483,35.33143618829445,31.19905959868167,30.93280087832016,31.311497988363307,31.082571896708487,27.991037959325983,26.017231796670533,27.967506262587257,25.478964801215685,20.910929080901916,22.78883837337721,25.685670078385876,20.208148923886828,18.33838640630386,20.797756189012706,20.416726282509668,15.582857872894632,16.39893162919108,16.123153255159863,20.44731224730381,19.207239807647237,21.754040156155973,24.603304574013862,29.210288560156087,31.528264392899615,34.184150827331734,36.14973463666892,36.3937241394822,39.84982723043281,39.24484302942601,42.645265256269184,40.03967242301072,35.09704233721109,38.98855367966094,40.854504153537164,36.178175250460775,35.746374903115075,39.75138773550696,37.47693615939215,33.21191951303347,35.58521676867242,31.66870188058753,36.36290076569985,38.34080376689068,36.735187350992895,39.85809173407757,41.42018663442688,40.561073200166966,36.483161619205205,36.4313293012364,37.93095716815955,34.041222662521754,31.41339366730862,33.178067411017615,31.88339315027669,27.995304005224938,30.691290198585907,31.283306491348522,27.151480217392947,26.361798405861645,29.561191568662313,28.295242340051836,31.98252883631123,32.70391442303612,35.16863984902629,31.76917300078546,27.5852348248,31.828834146276485,31.110897857562705,27.448629315042734,28.025157524956,32.53921207752893,29.137559929580473,25.1441425617898,29.190244875743286,31.830849053238026,28.18771064795877,24.95708746118372,20.6081332265455,22.019720483972474,17.523358324132737,17.237685325983918,13.897150109927118,16.848338064941647,15.17265542349162,12.661153519866426,15.928612378024344,17.376480878575496,20.4707708335366,23.086544618934973,22.647416966875344,27.069082855771587,25.970747310341853,20.818024577370384,24.91558098287285,24.195883689461102,26.867417835641998,23.424002181428797,19.655418222475852,21.905604877522386,23.140923590586397,17.51310247644294,20.62204553302953,24.05195720699862,26.73726355328175,28.21204513078778,28.723313476028185],[5.844813236817807,6.982233457152107,9.958848649723915,12.074678677039351,17.624438030624923,16.60098634314591,20.782761908078545,23.46566987496489,23.787786530571246,27.19469316111471,29.55404177399006,30.854207485845087,32.14606869182424,31.325643884702917,35.90834208025153,37.14340300903096,36.3805278817194,40.95036801567236,43.59985265567955,45.58074084137506,49.01686187311709,52.30965629649228,53.369618408121845,52.38970731172511,49.339267513487016,45.67324004420884,43.34435963362838,39.65237315141736,40.31326486163789,39.23038033267266,42.786850840669125,41.17140510372112,44.352654181924336,48.554809793723166,46.415572537087435,45.228860432831425,43.433895387114404,44.77111231559708,44.23138022663285,49.145600975392234,46.49048529707654,48.43461314545853,52.579652827361514,51.94632882529125,52.2203114178578,50.64195141750679,53.951301027321016,54.99108075189981,51.3492628912492,55.35309068670352,57.22089891674951,55.294040545934784,57.650925808416986,52.972360987769164,58.07138789384072,60.51372997853092,57.0336447040056,57.2716895271453,61.872176435701476,62.48052670761564,58.377173994625686,59.32137063160234,57.29023990381659,59.49715967745954,57.105384699395096,53.21478442893423,50.80091356986745,47.59924912682325,45.33592755180637,42.79567548476286,42.19289862734858,44.501773473442064,46.19433218264457,49.79212702811664,48.53140783598734,54.68158785182131,53.30908892551506,55.60293910989527,54.44645370452729,55.31243267038757,52.60727710505491,52.01008621902,48.56393734601734,49.049714797733536,46.57999877989126,45.752938861549815,48.58822099764389,48.64716575465835,49.369758719124086,51.8554173453713,49.95043482036051,52.94622752078792,49.1983354282621,46.63680899681723,41.9625275545016,41.997246720118255,37.7911171370023,39.47801538426965,36.28229836871709,36.11274208313792,39.00792853109481,36.47057465844284,39.63266477847118,36.20811408987569,39.07996736311615,34.05911910875019,35.0078624540903,33.97855995890168,29.456806803599285,30.014763638618884,25.60185320553887,28.356498106139867,26.093452090664364,28.15873574884094,30.10916131302437,30.626699419351898,34.6724100784868,35.86046801353241,40.559544149779775,38.37960688035942,35.70029368496,32.48092948452188,29.997158169821034,27.408881025198696,24.482122946625584,25.595042711403,22.282478943801443,26.283613524474024,27.8047532684801,32.67808165722397,30.847150693952283,34.32197452483343,36.86547949805153,37.926695155166016,35.21266767968372,32.54869852127734,29.833632263473344,30.337584776575536,30.270016141043264,33.40829198716871,36.27076576255201,41.03069807404235,40.05075108917283,37.29042134104044,40.108112809941154,38.457060968176016,35.26805638947507,33.67375617080012,31.96746938650663,28.80151184185364,28.3000082795439,27.42152430949044,29.82555716748669,28.634288461613814,31.813453120415048,33.09450616918387,32.60243732684542,32.51389670643719,34.85813195006756,33.51385823144877,34.78165581472139,38.687066334525255,37.628334376961384,41.80502213498325,41.71191003969699,39.9200841468407,40.612817816821334,42.51388252995766,38.94894352340195,36.53575083559299,36.00452929002611,35.52292580728811,38.41157866415236,39.40350939436765,40.448248418885186,40.53315149281633,39.996675063113365,44.1449876604629,44.579567316719505,44.44876248302376,43.65207767416411,38.530127525076885,42.30542492627333,44.80071815838294,42.980858818090205,47.17769049696005,47.210791047609504,51.11728330021431,49.47053183018144,49.84461898993031,48.974727869795366,46.318197297954846,44.33831535631453,41.23705260624144,39.942261519341244,38.31033927025521,33.94545395003555,33.30561019794428,29.27099185651832,28.48340081384343,29.241308611462987,28.548863072909914,25.298739927855486,23.96112139214642,25.910805509964298,22.894358376289873,18.749354363150285,21.02960023926479,23.500971950193364,17.627046496999306,16.391424663815915,19.067679915293443,17.93063975691291,13.24624214004431,15.179221434094492,15.128554360947868,19.74915404229297,19.28009448582528,21.075655857467105,24.00420940526904,28.855914570831565,31.5378837633045,33.9680275704227,35.344344815164185,35.339488161572,38.58737876779965,37.55424362767548,41.236126527009,39.01401947085784,33.746856919431906,37.441058960976264,39.79452394799873,35.245488815222565,34.419795507939014,38.44421373293243,36.736948055029835,32.393552885379584,34.16515018021666,30.105392431875355,34.2515332084622,36.370770881998546,34.7036897350926,37.51353318053563,39.06497160057558,37.8478669929557,33.939497952629566,34.064755994124546,35.18566468092628,31.138079336918953,28.881275119650915,30.57494415360659,29.031494954023188,25.318743006313564,28.478823526917914,28.890283309998722,24.52855186296558,24.346098162439887,27.84436108318508,26.728036633178768,30.359180105940666,30.793364994980138,33.65118088351116,30.606002733534396,26.066256826543142,30.373091587896972,30.23029856934569,26.590385623069547,26.844038409015486,31.847897021555333,28.978046840262778,24.63654384988884,28.483761136795348,31.701023611519517,28.495950803505114,25.058814302132234,20.443351148972866,22.815870519231307,18.339608468337936,17.942060437774334,13.694292491986612,15.686898482375652,12.928106925486109,11.165559545159907,14.632233375419103,16.888512454418454,19.49554978074906,21.765405911423443,20.42014420472016,24.679725832172437,23.11969420242105,17.749090251551227,21.67937102144217,20.91999332003954,23.13392298281474,19.814127285048066,16.09754662001384,18.045977259099708,19.16176867525674,13.431797252739926,16.580162701770636,19.981673135763383,22.692895312166726,24.24896293110203,24.900316399774447],[8.081633243309229,8.645690292504103,11.849978205827483,12.018414027110957,18.037849468442996,16.947906857826048,20.815372746409604,23.889476424411733,23.650184915180944,26.64099058603111,28.990636168291683,30.73437541424549,31.77739840464568,30.463645931195202,35.2039103996108,36.655090363127215,35.64482911776231,40.08850047931601,42.43367484577155,44.704125822034776,47.9530949525889,51.38981218014958,52.22320344958797,51.139715735551725,48.277166976654755,44.51367219678302,42.45087915623904,38.80918726297864,39.68072034417552,38.909806035937756,42.215457897405614,41.06187430535955,44.26238786815387,48.32250694431071,46.219995154585106,44.79880561864041,43.35035395410891,44.3705193885396,43.80622502882072,48.955520445751304,45.9318897369791,47.71189948179275,51.946463304043675,51.22469941355814,51.30560393871464,49.779988775299714,53.04067881582327,54.21227690682719,50.772689966983855,54.81249108497284,56.83514283112442,54.98145053355278,57.363318955594494,52.70018265585578,57.97557273995044,60.20215202805339,56.61358449668272,57.01135678644031,61.57997905415107,61.97437165650875,57.7420949220131,58.66510336676251,56.64472347994959,58.595373136620864,56.2306521450812,52.45789738434436,49.720441618045236,46.65368960449129,44.071192794485896,41.628494902504485,40.783321735764986,42.92439845267267,44.90691764383117,48.51101878139058,47.58201631377324,53.81804132408878,52.606672779972236,55.08976285884799,54.04869112694184,54.972332481749305,52.53847640664646,52.000661453746986,48.83042200829906,49.336270173456626,46.63524587699282,45.757326801894386,48.31048763424822,48.59804826553338,48.92442580051288,51.56631927743813,49.40218465240147,52.26931261585389,48.56209139857215,46.186835316614086,41.47770571284037,41.42900154357687,37.16753496131891,39.33173840071624,36.3335747914747,36.65301831615867,39.372999634275025,37.3020070222463,40.17337699575178,37.09964337861313,40.015586212194044,35.003984062359145,36.32384525959321,35.213883635674776,30.70031202228845,31.267023715806808,26.639817784640265,28.87335587642888,26.29255073517854,27.93724435977456,29.50330826157337,29.717107260489588,33.67427231198537,34.60828232557066,39.19783922192894,37.22370364377185,34.336931243979116,31.261756424803743,28.615895304011197,26.32840537217655,23.770637931235928,25.1726665709068,22.6147113415635,26.607614653198844,28.459685098757816,33.429906793051636,31.56234162729337,35.3400029210483,37.53623265663503,38.73169405051258,35.59312207168272,32.6961438067323,29.894555505212445,29.88789059311221,29.414593538367402,32.77564290734184,35.160776977870654,39.92836844412613,39.01724077201062,36.467124549044385,39.473038646687264,37.95549092258439,34.75488913465589,33.45237731324324,32.099358430779795,28.97069432179133,29.02635330578354,28.062870802990393,30.922037225109428,29.72234486042947,32.54777327396533,33.82887436521497,33.01788198405446,33.21277886144626,35.13927089577605,34.06538101483902,34.92332712616713,38.59011464018163,37.267332728279605,41.608884198203306,41.496429160318236,39.41255552124614,40.457029244279795,42.19554774733,38.758701047580544,36.130233944536656,35.87470373063381,35.254182852268336,38.42864851014745,39.587271911560066,40.692712356215374,41.04019785213768,40.25960952374003,44.70642231021338,44.91815024122637,45.01581113817083,43.990027397462285,39.14202943826066,42.94112251311502,45.35082332252387,43.298231571837896,47.26265633078227,47.05354000132573,50.96722604417854,49.00907709772843,49.69559790481688,48.90924663604799,46.408441293274116,44.57197331635667,41.596938933502024,40.48733254061994,38.99777357447426,34.51769880048445,34.28473142720493,30.42365316107857,29.79816538184933,30.982041531299103,30.43367590749071,26.929347783205944,25.76762960488777,28.12521068990454,25.103904997559145,20.69083759742154,23.420057828637265,26.19153921773356,20.208719858795902,19.139556909597264,22.07770152788404,20.901040592081173,16.251517955140006,18.36562435949594,18.033517037064723,22.852945282844242,21.721326064146783,23.64456206610621,26.817168726365395,31.48859307766356,34.331763616941025,36.606626812147475,38.026786614297585,37.824218487600454,41.007222705316835,39.82214802720495,43.383967773679736,41.20971430782289,35.79052951115492,39.339163386953835,41.599902175307754,36.98801241853038,36.0060734351809,39.853545120081634,38.075610718818325,33.705710755985784,35.17484520939695,31.514084648191176,35.68887458316993,38.03942516298113,36.725174315260794,39.53423053646827,41.37043406821224,39.918224766224455,35.93433129119346,36.47501429426581,37.55414885569366,33.30225723755321,31.299853894013797,33.225317483624835,31.6516951028132,27.971707655491254,31.361999549754383,31.85116682515835,27.4566793714495,27.411338294504894,30.96447316211258,29.7292367682767,33.239956207810195,33.432849912719725,36.2726549542543,33.403875110973395,28.672380798805452,32.75575711270015,32.68653334301389,29.052621204517997,28.913183161888945,33.95141528725511,31.107149326718602,26.555021369929236,30.11486101263565,33.44252525143724,30.199831527718345,26.596558410170537,21.950080668155735,24.118228271095653,19.433240265070207,19.81846439635581,15.413966827312924,17.73808263386899,15.047029300038648,12.555454126431416,15.7796616893556,17.755070095416446,20.300448735753328,23.12369952634586,21.51421292579968,25.779201691771526,23.866546229539704,19.134115132075976,23.338343689113238,23.005515224486775,24.677008891031438,21.12145394490658,17.97571381821145,19.856306009066763,20.132090908704424,14.818647069942166,18.124785773873484,21.229359163157987,23.96501196207964,25.556832002768754,26.42024564229038],[7.44871617006079,8.24623332518908,11.731609838687422,11.072486220670948,17.234068433690037,14.777451583024408,18.427998533707125,21.199558047977305,20.439516358286532,23.536096286390634,25.588040443826124,27.30058013058238,28.733531573571327,27.279008352656437,31.880283023012513,33.49576862131666,32.803624553823646,37.21856039781148,39.80187830965938,42.16782173070461,45.489480250529844,49.08610903431399,49.9707885669001,49.1222208952912,46.248815285782385,42.333506155004706,40.29782635084509,36.475447396116806,37.03713225708469,36.103219497425975,39.00108329901889,37.95753063956454,40.94928252823245,45.07237202533946,43.20223047561877,41.93814757439749,40.627488245831785,41.95080166402178,41.67243317772586,47.029256655820205,44.132688863298746,45.57142550168703,49.86902411910279,49.43181655009337,49.689104332086835,48.4285649116356,51.79498830074604,52.69541092257465,49.34469710398981,53.64552552142579,55.468226385098994,53.469095024553525,55.63768517297174,50.88166886499944,56.02983956993594,58.21281670737133,54.5281134470523,54.7349370064706,59.28288503973945,59.827633005928945,55.410042967919296,56.04461389516774,53.83252301688222,55.882202228537686,53.71509782202372,49.860362922492094,46.99152526841439,43.75438052747869,41.17114393701766,38.48437172750825,37.73154436508433,39.77121469699465,41.654716352456816,45.43925113059176,44.4199067712788,50.61440828912758,49.64208664218222,51.984651958079695,51.153735330953495,52.31486863166166,49.9571161712572,49.74470954139736,46.51761587401761,47.37489070757664,44.74817718833208,43.50865666006538,45.898798411342916,45.94326097904107,46.15187849847968,48.49590744970835,46.23087166792785,48.92101212250513,45.13092022967824,42.70387874544916,38.032149251003666,37.78510508802563,33.5705738184367,35.87419652851156,32.95321389599811,33.317624344275515,36.30454285062603,34.57768536369978,37.58596686101596,34.89788562570719,38.271990570876014,33.4380480133931,35.107890499323965,34.407506487628645,29.95640556302548,29.98441960127193,25.301897869207874,27.20382930995556,24.146072286986257,25.982190965442946,27.065795757152014,27.594072024005825,31.38010021200956,32.67138521693373,36.906386749496725,34.58807766116484,31.752538553531405,28.59313089423504,26.40629558586414,24.056485280727284,21.43311537780645,23.572687973023644,21.178136405441588,25.376733322260538,27.54968799533028,32.43772482995792,31.249074179970602,35.089133884212174,37.20942810458236,37.934811212450725,34.94859765428519,31.720306489530635,29.53458857839069,29.034035004337703,28.32297954435845,31.437476066850973,33.99779541576788,38.58872141823306,37.26325728060343,34.729338869674315,37.64006479936932,35.75480832275022,32.65438549414023,31.120043741475133,29.883287481129564,26.439188940135985,26.648170581789945,25.156359516637046,28.112727014365746,26.54225708569568,29.21780004599461,30.760678365185758,30.027213938167577,30.61631188925198,32.47545583269848,31.979332531992227,33.136637065163825,36.49548827558867,35.63623480094111,39.879581502284985,40.27524502287405,38.5282197957084,39.83448497579578,41.883492295477446,38.6790372001017,35.78474093435902,35.38714306312725,34.31246071933337,37.23230903116556,38.108271625620695,38.88151014859271,39.05861124020852,37.899282021377296,42.44206533165348,42.918381728194035,43.209191437461605,42.520195806773245,37.71316328654017,41.91993169096126,44.52403741854262,42.38039727391407,46.05165679167244,45.55001686228237,49.770663757729054,48.01108986783117,48.90387027038906,48.399540699767,45.77162255358696,44.28939467259507,41.41365301528772,40.496620647790344,39.35275193179509,34.84826823579389,34.660559369944316,31.00019798337888,29.81976047094528,31.45805088884829,30.388951587358537,26.75297505911591,26.372723395636964,28.663597646819614,25.11279480731281,21.346450447626424,24.365512243594125,26.537204554507586,20.34168483744481,19.978779671337357,22.887067640869862,20.911032098049237,16.706538726639376,19.628825072038595,19.674774951538662,24.436543383962782,24.13946438412407,25.479057519653058,28.56827018030616,33.42258179480127,36.42179764179712,38.589423960277344,39.52015889103711,39.155064840558914,42.1268795309449,40.55591222307512,44.37587228575492,42.57884528953483,36.92570951828979,40.24614905188377,42.95249943545829,38.500597299250785,37.15960737987838,40.9674515182625,39.72692090315409,35.33501177334811,36.180572460717194,32.48502104276824,36.02261760116117,38.51743560223923,37.15439257448645,39.57246975866832,41.343912204851556,39.48909677968202,35.780966739525525,36.47626995870042,37.05809443351101,32.701347306376796,31.183646498555046,32.89116948399178,30.998375390532818,27.659082884458403,31.447899889540036,31.607160979009183,27.003431414897122,27.686467697577356,31.447885867817135,30.4971208158971,33.957752268757325,33.943149247136766,37.15223284014804,34.596563900042476,29.676712330388636,33.7970130105527,34.23374415583851,30.66975284798114,30.305837371261273,35.69200798997381,33.295469371865785,28.561015872186506,31.907658927717556,35.65636546701873,32.76703907247616,29.065720794855896,24.30896530218254,27.076144423565832,22.473376738945056,22.744552776105248,17.925331897271494,19.447558404224637,15.909513324490383,14.25238163631931,17.424448478735886,19.945870991957214,21.994300646181102,24.498051193381716,21.97048413746469,25.921879235074968,23.381848018993402,18.682348534098,22.51326860191506,22.12228486937566,22.923358772970623,19.699148391698003,16.85108603501897,17.936714952404543,17.839590089953077,12.514969967131863,15.45796115631984,18.188236448909645,20.97106432049382,22.49968137114333,23.551705069052474],[12.27256974753024,13.283084132523316,16.757538746429134,15.105493172998118,21.296623846591572,18.418246674983255,21.48085513171547,24.247244772450188,22.55040520478214,25.16311395014047,26.795948109061182,28.917272297812794,30.484271945571198,28.28482596198663,32.831734218662476,34.8796044327845,34.18727878156429,38.32528300122878,40.6250847854879,43.45807779033258,46.5269225928136,50.40626929945668,50.98945034871091,50.14061318570224,47.56829265335398,43.46034227798546,41.85021049080148,38.03766075855249,38.64462152075184,37.972291566255315,40.128873175874325,39.751030849849286,42.48877245348428,46.48578427131722,44.92119200417591,43.54799150623305,42.7608166786692,43.93953601894098,43.819202582609705,49.507334757429916,46.27405771109458,47.2972555505992,51.70657496612706,51.31676692926746,51.400868365281745,50.33822726484355,53.6561375239422,54.61145956697416,51.58637505672212,55.99858554670603,57.91651764593055,55.95783678244901,58.03689501203689,53.29071720318616,58.52930347208793,60.4294310635413,56.583951542328336,56.85947724441075,61.32677474030597,61.70685138790522,57.0404967714342,57.43442002110566,55.09621047029547,56.86547569286492,54.9085767554616,51.18549391368472,47.77825516483001,44.62598749900156,41.58091360157073,38.83744687248144,37.78650828305169,39.36844869064499,41.638138838139085,45.59811860746212,45.01465793362353,51.22584676603267,50.73014082160848,53.15843901528036,52.67614058928585,54.09550407477079,52.11861532946697,52.19786829123936,49.23663657821788,50.32077683595205,47.53030552718649,46.04185144921614,47.99199151931732,48.10570884524204,47.77033711002732,50.0023789318316,47.34517476033482,49.6394420704526,45.83684628026541,43.60492516248391,39.005021075166994,38.3675541187363,34.22503711667823,37.246452756483194,34.67033112132894,35.449111478414515,38.59570016966167,37.55722255324731,40.43909076193125,38.32111724413978,41.95695019128552,37.27270209063179,39.309322004828836,38.71092564505204,34.32954936553468,34.17957768367229,29.421977512777723,30.774169019656593,27.277074002086728,28.749558238895265,29.068320494588907,29.386772430357833,32.848252626171416,33.959494876713535,37.72076426835111,35.50633252171723,32.436595057825244,29.514578965015126,27.475080996400507,25.623140154476662,23.564277283599953,26.361288869135823,24.848561180613252,28.998516757177512,31.502089747471473,36.36712427388239,35.335946115439555,39.37659485696337,41.19490935162451,41.90550134834887,38.63408994386347,35.140963477244185,33.061804753433805,31.91262658714516,30.6491001845555,33.88457686021099,35.83323532973129,40.289899042447175,38.89083053960645,36.69436075703947,39.75263020194833,37.85417755734452,34.85520988089145,33.54490666077187,32.76802584903559,29.230319379057605,29.985649814553046,28.03356340458328,31.242337458768215,29.185727662884062,31.518645726117708,33.39225405073602,32.5516531007899,33.687865625224276,35.13332667567345,35.27103416952723,36.2060831558371,39.105886445682636,38.20765885214367,42.530632260835695,43.11836865615714,41.1699363126392,42.935000546202424,44.85223710502675,41.86882908385768,38.72279365005173,38.60348518263988,37.27230519246793,40.36944156388353,41.288892380661075,41.955756626653624,42.275130336985484,40.679104017549584,45.49189404866064,45.933030764229926,46.52831562962092,45.80375626554934,41.30520009350386,45.6457901768412,48.217706925005686,45.85108884899561,49.15854987242607,48.285145248295116,52.60201582196161,50.56840144836806,51.879467183624726,51.544431612552714,49.06733000386658,47.82700473615706,45.114294142932366,44.40064465430964,43.42704072234466,38.864992591900084,39.004796439065636,35.5039338658969,34.389965388109076,36.287061503800416,35.229183259159726,31.491400252684233,31.263931776932218,33.68044712717962,30.092303203624407,26.317225410238077,29.426256635032047,31.5890048412291,25.39033703822954,25.046553394528342,27.877311405412325,25.807488232167113,21.650380782871192,24.419805448078588,24.56556727441368,29.228941412958285,28.81842577612987,30.400982178985597,33.48360598732523,38.316560686990776,41.19221262000026,43.46252538652361,44.53066665572008,44.18788114873633,47.16583543414837,45.5670165577861,49.346138369262206,47.54288294332817,41.863872904944834,45.12626352960733,47.761327597795734,43.26806379749487,41.88411282281068,45.575462739158944,44.241921164095466,39.855246521751845,40.54807286430263,37.138989439599065,40.65607328061496,43.27796826776413,42.07487189633515,44.43300042738998,46.26956155524883,44.258155442433875,40.61110986789774,41.4381798576082,41.876309515577965,37.478136411106036,36.14109337682622,37.772204501511304,35.76434980248474,32.56762239611631,36.39414922764403,36.390944723734606,31.717280473576515,32.575284424150944,36.32641769375066,35.48947212588449,38.99503884087171,39.00225247796138,42.223289161990074,39.63773526014908,34.74788880100041,38.84072078312086,39.229351366236884,35.651002275455255,35.23967590604213,40.57061911671323,38.05645755081889,33.32009260454791,36.589324689959646,40.271307967335325,37.23560136508162,33.509980694764515,28.795150518492342,31.171989777712845,26.445175414797095,27.06943360286147,22.439358965489063,24.326110350006935,20.93657707191252,18.9258307172702,21.976431681574656,24.178121384416368,26.2776914356517,29.141685313637662,26.532117817165584,30.414258582265877,27.58428516542855,23.36797891313016,27.165400761701473,26.876389473694164,27.13657388213399,24.05307951244455,21.556700152048446,22.186764969704537,21.63803815554684,16.66254320957305,19.05644817404847,21.18942531087645,23.934835401813185,25.20512867019285,26.326143739940633],[15.694896239074087,16.569506247035534,19.973258472195706,17.49374992269736,23.4994515597156,20.218404493293995,22.713762772420527,25.403318327508103,23.018427649683776,25.170904441296475,26.450028250201772,28.865541923870822,30.470172952950374,27.75013536636421,32.17278128294365,34.515301772565344,33.8489439117868,37.727090084012445,39.83376960407064,42.98044445682998,45.85752932897255,49.93201127271648,50.31408122226549,49.522200673570374,47.1719385208303,42.936360365856856,41.641586241330245,37.845566992905766,38.430702861128246,37.94712684525723,39.50757459058719,39.64932166821235,42.17888653724445,46.032861470639936,44.70844214557422,43.2657856438408,42.89381641315328,43.9771299717809,44.01614999998896,49.93470259348897,46.50802691392137,47.16123787453216,51.628388022394454,51.33240073626588,51.338824243107716,50.48888662980925,53.77633450500547,54.69043907185828,51.93511243611041,56.460126954376314,58.384618299613,56.43372601228982,58.39208493026567,53.65999226469681,58.916028310109596,60.58905809216328,56.627929666690946,56.924307335660465,61.30656997048621,61.588312346401985,56.73697801243588,56.91534347150195,54.47868799649328,56.04971570185705,54.2795448732463,50.661326314690854,46.88198185671318,43.79271579371099,40.4528904623822,37.67065602569803,36.434540399003055,37.67570386836334,40.17731311245133,44.240358464146155,43.95917669272371,50.135657093579724,49.99952060777373,52.47017974948661,52.25829684044117,53.87810472121091,52.209736643281175,52.54275683820465,49.80558771564552,51.09657491701857,48.207343703566345,46.49163992491107,48.074430152748704,48.22095466698451,47.46535282740711,49.587499288001446,46.65065856112786,48.63763427970976,44.85767220753342,42.7985453481457,38.2916727364721,37.391397491676784,33.3449036185904,36.87826962319366,34.60914236173747,35.772208703195176,38.92859719095314,38.48125678215903,41.191109211505086,39.58625627822513,43.42848043657414,38.92595986206611,41.30940289217469,40.85228718724715,36.57770230966296,36.21031853008258,31.43041565372432,32.2714734768919,28.44125483144518,29.63638730197731,29.32080543866206,29.5400936009292,32.67473446446851,33.72269855254508,37.02518908994306,34.8445783534934,31.669605034428333,28.95318988399519,27.156829179863085,25.682685508701038,24.06732899011464,27.383918017219976,26.565847206937978,30.632117607873468,33.406419326166024,38.182085004702905,37.42785241096521,41.6047727555302,43.15244381136792,43.74112051233534,40.311921081490425,36.5879672854716,34.76591305867432,33.06028972576529,31.387494462312567,34.58318491787513,36.137809438648006,40.39583832324968,38.85686810006245,36.92422769587213,40.0249064007632,38.07026973518319,35.20213699679917,34.04130988248601,33.63901249329373,30.066593782502455,31.272684058941756,29.00990112228704,32.44180793725496,30.158319400741746,32.08890379965474,34.12062689126579,33.14557591795701,34.70794258013633,35.77362630655871,36.446505900789596,37.22504175775961,39.69913907517817,38.864888381077165,43.17851224418276,44.005510429743474,42.02303993522601,44.15808627572971,46.0562858540661,43.32005528319016,39.957493423093176,39.98795964383716,38.37452513254006,41.501878531435025,42.387797993197,42.913407627175424,43.32530330093775,41.362671363525735,46.36375232556369,46.788037323386924,47.64615013674635,46.94371651787067,42.73243860857991,47.215129239938626,49.78402596214784,47.24354432587008,50.1923181772812,48.9905373140424,53.415358004712225,51.251920970931344,52.90065161804604,52.76489963058198,50.38011498867196,49.41573104850694,46.868219601745196,46.36685276392822,45.62891010963598,41.047504244427444,41.44489177989139,38.15556870343006,36.958433761835096,39.19182275218702,38.04220682266888,34.196989179726515,34.2961055462939,36.83704702200261,33.12742716738904,29.486215214714633,32.795056854163015,34.87814366944146,28.65283914872795,28.53258341811936,31.401615542634207,29.127237772826376,25.134363425827758,28.085032594170993,28.251821368816344,32.933097612441365,32.509121680688004,34.02357261625223,37.15383662532837,41.96593856369447,44.9154383402524,47.119967230037034,48.084384881636026,47.62541172409809,50.5080656553408,48.72983000985749,52.521459265876686,50.859908520941424,45.06802270034635,48.17463234589516,50.886889261968136,46.431276710800574,44.87441596098495,48.434972964531376,47.23213660057134,42.85768981130938,43.19672947564775,40.02559825946095,43.31541847924356,46.083497487020054,45.046045599278514,47.2492638196109,49.18009900876423,46.92141337685229,43.37777264728689,44.4363562169914,44.665625654219674,40.18619603015117,39.14654402066186,40.767651957558556,38.64524911840689,35.62409890620003,39.62276719010419,39.51776436119248,34.80150500801433,35.93389628779593,39.73928052442624,38.966223700685,42.411345858208946,42.27576482867365,45.58937590066625,43.16091757643752,38.17362989368697,42.17568803884478,42.72630958386727,39.1769020011679,38.56118139731345,43.97059090342982,41.57872972699539,36.7374533351496,39.81380909778822,43.626423149819885,40.662766558691985,36.86562305504959,32.152683433642295,34.533188744579256,29.78165714958781,30.664559460524202,25.956064170024657,27.79133304966668,24.297145603732957,22.261615425024694,25.152222556745254,27.30875576042704,29.22936037331235,32.21435141345235,29.285688926579624,32.98509467621699,29.82355356688151,26.070399456557716,29.751022306951906,29.624519793685067,29.292373361513576,26.35289168755081,24.302871584039238,24.56786724584978,23.49877101337054,19.05905972161984,21.109852545458406,22.724761274544566,25.363929778331414,26.49890264351289,27.75647572281823],[18.690055850689607,19.47141336533535,22.74817749363241,19.70604877204452,25.373602283708593,21.573933627246717,23.47226883101832,25.90207804902674,22.877813835621087,24.61415686828353,25.439910276901678,28.029151450664813,29.777037798807488,26.63698524247004,30.806433266214267,33.416765206608986,32.90973264097146,36.511083210800486,38.53943291994919,41.929878724767654,44.66203647788748,48.91229289880054,49.163534086834545,48.51812218379817,46.34659769673358,41.99784058712699,40.964085255712476,37.15934232429755,37.595624044396764,37.20103826048095,38.110537944684054,38.70610783234307,40.96144159300128,44.68751729219663,43.65273991283744,42.232283978193124,42.23655257497246,43.35093049848351,43.618155760268365,49.72385703903346,46.23929089714042,46.48204274222965,50.97662011772643,50.86443499100676,50.88486318940271,50.29705350442054,53.58004209323285,54.35147619622096,51.841972440870954,56.51264372241979,58.35003719208192,56.3635277478189,58.13958106747272,53.41801584711567,58.59842843870192,60.081794158515045,56.028707943280715,56.26237785801391,60.54589533250642,60.812595256419485,55.78231650462296,55.685066597708264,53.113292921912254,54.56530124071515,53.026148864595456,49.479469884402825,45.39460738132719,42.311134336193156,38.77356397364591,35.886121029316556,34.55427770012388,35.45858317260615,38.08203097097882,42.271067545452745,42.1927789086308,48.27857326283238,48.51830076268547,50.94805674527958,51.027352256240796,52.879698167037155,51.48440413684064,52.12533918977687,49.55611324712963,51.113737792625294,48.20791142472186,46.21018467620865,47.44280160910161,47.52001789707899,46.40708387617833,48.310861947761126,45.14113278804942,46.8009566615849,43.03378029401564,41.11121625269526,36.74273720729421,35.556888504243304,31.661638661513702,35.624667783995605,33.66950453309877,35.14239948180734,38.351019612021865,38.490613415612124,41.07583708489597,40.01091121016399,44.106781806619054,39.85216174082612,42.561563970355714,42.33683884242692,38.210648386958056,37.53400193515308,32.809364264726206,33.16954701861653,29.03300581206054,30.05923501525539,29.098569500905633,29.3586236288882,32.10711817635256,33.2327058907231,35.98530851827577,33.7186535926705,30.538512326366693,28.007625781384416,26.642900355531552,25.480390409880016,24.237456184347938,28.090360002139228,27.835264635962307,31.80341847972491,34.80759391212605,39.41924384055031,39.08016560601737,43.317006982962106,44.64461059434193,44.98783303592083,41.5435026214435,37.60391818216049,36.19040479642686,33.97814857398656,31.975873185731906,34.9877982945105,36.30482797775023,40.28857879623254,38.5056841916002,36.800831278099814,39.84868003642635,37.739543118873215,35.0546468925448,33.939760112640755,33.867605407503376,30.23772445293107,31.80798100984829,29.188746464815043,32.74912829800327,30.223484591664505,31.733116222174626,33.93706602777426,32.89982890519791,34.897389120600415,35.629052042828114,36.89349608476046,37.64847064384505,39.66350491714411,39.05970225424366,43.272006425639304,44.44806110385787,42.58938498559806,45.046900528851,47.026181620190414,44.56494466741381,41.004652428046626,41.08279218477188,39.140014717444565,42.15361479818139,42.90366537423417,43.2033123516004,43.61727715991937,41.27434199859849,46.391414741785894,46.89223411915881,48.0009162269957,47.44082508888948,43.49341412406106,48.166592516568564,50.77760866654187,48.10917314846459,50.6759311208769,49.146462005559975,53.72408021656924,51.56379696625632,53.5088431743794,53.61349639529728,51.26243008060329,50.61981204161772,48.238313866053716,47.94576980491525,47.48395357553462,42.92577956729081,43.49694115632765,40.435141187033864,39.02980757478334,41.591624353534996,40.24214392738108,36.33592610831546,36.86236362167131,39.44039313716816,35.54996483722654,32.20881460523937,35.68146508421719,37.5424746443849,31.323163750779543,31.514877220737848,34.380455626797236,31.812138293637478,28.085040250835927,31.30218017738483,31.553010595591857,36.21848065238984,35.986316742247496,37.29615801895922,40.4282799445625,45.25956171376502,48.30765072433078,50.42187171628527,51.16630382910803,50.57882823937219,53.322481724847634,51.31336349278867,55.17467913528385,53.73183573996458,47.817268900524546,50.736575288643124,53.62832810208657,49.26497936023455,47.49368881044891,50.940123087814925,50.00043761289436,45.646567492800166,45.567624324162026,42.55560908055148,45.477750945618354,48.36517101604965,47.42959094612713,49.39519483658665,51.36015607396324,48.82356767374169,45.462900675122974,46.71978408097658,46.658413102451,42.133610905203405,41.44861739811311,42.99218410514651,40.72599191705978,37.95277398884146,42.140246498755104,41.88461896584383,37.13770616183739,38.63266964869246,42.500849868274145,41.84357298975719,45.20686626294371,44.9109023641657,48.372372835699004,46.155170810836886,41.0735970880888,44.99966812673129,45.801014335286496,42.304651754942924,41.49625803457388,47.03404583835835,44.86295504553889,39.916969364614566,42.80117411781268,46.810247599616304,44.007643068277474,40.14672075436676,35.41788906247756,37.97506308582072,33.24264940244798,34.22787575873687,29.3723776240046,30.970344409211197,27.260513128677413,25.42540174450948,28.182653996054476,30.436008294793556,32.107765378463235,35.040527619297336,31.7065925636504,35.14699249139894,31.646033550855503,28.282111972001317,31.70618951577645,31.679000526277374,30.70277094348354,28.03341309598119,26.42403207302798,26.2302378224568,24.718200428159903,20.86659234237497,22.476104593539322,23.509124373721534,25.974807980999767,26.953488167170722,28.341257286813338],[22.195334245438254,22.59385722092782,25.716117818847287,21.80817869317907,27.12684974061517,23.506078629685483,24.792128013093347,27.357645348584718,23.89858738220049,24.86473771228177,25.51564007171526,28.53427546017468,29.85572828157209,26.19230729735006,30.269481043312908,33.07791312499363,32.31390777955297,35.547573452253154,37.118720656300226,40.81784336330333,43.22892429330393,47.597772620568676,47.55833986358872,46.85568851513413,44.983915760548875,40.59467025405148,39.96262922030158,36.33238384101097,36.95679134145044,36.965199383012404,37.42715630387439,38.64783659906375,40.83064556643961,44.245694772979604,43.31001209214954,41.644874573052434,42.120871958975194,42.8417071359342,43.12672399909759,49.37965430151289,45.57445437530995,45.5244153455319,50.02900850515373,49.87557107747145,49.703732093448465,49.26622789838903,52.44378536690029,53.28321584131008,51.09518994418223,55.76493848036658,57.697202090114025,55.806694879451825,57.53076690917411,52.90783045504694,58.17173637057454,59.35913718631457,55.22863829170645,55.623005506261485,59.7859586731267,59.811919846978526,54.676819494289724,54.50211639789033,51.96337295886258,53.068401074392284,51.63232944355703,48.30131933290872,43.85446200699251,41.00912676754929,37.12368722985117,34.42763590334043,32.795384023031644,33.36701863957255,36.33516544293027,40.451223310491336,40.837898098887614,46.883523173476654,47.37120180175307,49.98181528627634,50.2348714720582,52.15240082830779,51.14047956278211,51.884016667544834,49.703389457992365,51.29343526663114,48.201657602140614,46.14228493564027,46.96561793774593,47.29163288772292,45.68487894805108,47.707729077835886,44.26256381243372,45.68458138195904,42.06807591080386,40.46728911851371,36.21342376190592,34.94443225593238,31.158083165131675,35.63013163518073,34.0515585218268,36.11181913513872,38.93266034801558,39.64825359752372,41.788097795821784,41.192729375900186,45.229208215644526,41.14435818732263,44.173436676933136,43.913462914033715,39.935436713224234,39.24497978331398,34.52084912013604,34.31261190731202,30.04005190956013,30.54315986580731,29.050396369791784,28.974295156419085,31.34754319931907,32.17098352126738,34.49563165953277,32.52483888131889,29.223990414052004,27.066528612269828,25.7601742882803,25.14979401016235,24.553281225581962,28.59326919232716,29.197366936718794,32.899926401963484,36.106856145823954,40.60034889481876,40.3442017830393,44.730867076549906,45.67648647738758,46.0650541175997,42.33369582113353,38.25506266911838,36.95415005870542,34.21726070120679,31.811040867092075,34.822999136626784,35.539055798645464,39.28858099741355,37.53757787490887,36.188380720538966,39.30893121087442,37.36848391919753,34.82666078791617,34.087808094189214,34.46594881095007,31.062416491333636,33.182563324660904,30.61938664560021,34.49832596629689,32.1763400325496,33.14909666824508,35.19737771362986,33.81435480740064,36.06147468641858,36.2538538296761,37.83261193670538,38.13691880098285,39.73057590765845,38.936638906776494,43.15482839638001,44.3806490880304,42.34041538840306,45.16373955352713,46.983883289953184,44.79696637643745,41.07730163625664,41.40418284834246,39.2853759247616,42.430765660728156,43.281880828258714,43.58255786636414,44.25700293485337,41.66733052365889,46.978882059637364,47.235301934732426,48.59926346622217,47.8484723349805,44.32401993969865,48.945965301280495,51.43416682121054,48.572578165739,50.76241843712014,48.94016356263558,53.477726080022734,51.061724602049296,53.358661947762734,53.61590765267216,51.45968560923999,51.06041833140838,48.89004665900668,48.82739960996124,48.58377929653527,44.04489264768018,44.973296308894405,42.18288176923232,40.877379646689185,43.78502770417033,42.53743303925128,38.513199341043894,39.23571585406926,42.073512664591,38.2294923403536,34.81383050629807,38.546290593186434,40.59246701326013,34.38784921636565,34.69633646926411,37.74385384285066,35.19981445196067,31.513018535412396,34.85384090990093,34.89047215905349,39.71982687074476,39.07813592574977,40.36881874029842,43.67150884556931,48.356740027418965,51.5962650213036,53.51770041016397,54.20464981005168,53.40724193272275,56.040231700910326,53.85380130907757,57.603095845744896,56.27795717776454,50.251148196574384,52.970471575014884,55.82028841120512,51.48641542469783,49.54326199592144,52.77365794166943,51.89827081405649,47.59384618771963,47.13745585540506,44.52298223272246,47.305272074373825,50.365396207836085,49.75649657551968,51.652504299335,53.86044564292999,51.10300074423546,47.74393298802875,49.383568425288686,49.26644967996464,44.61630610059924,44.19196116332513,45.9391627224273,43.68986921424774,40.973454386332314,45.32666497664891,45.17954978910044,40.47461224468119,42.0368226016195,45.94346850076857,45.1610478261568,48.381184736845796,47.84053445591421,51.286900498152214,49.28538841129661,44.04678994165123,47.74577772929309,48.67245188361584,45.219758711307676,44.07488974120024,49.629367730105415,47.590587092729564,42.505820908728055,45.0866772219324,49.211055786984694,46.50165306086953,42.55399369439945,37.87965080320371,40.39099090563968,35.67042557053589,37.07915783376795,32.14794871248815,33.776220378816056,30.14698859895567,28.08116775715578,30.563157032411407,32.63893626045687,34.099254373550686,37.2397104790665,33.71813180385911,36.969858823329034,33.259992650383985,30.59528836216434,34.045314914405914,34.372791297358276,32.98173130457495,30.256498045101914,29.20115999941437,29.025455637232458,26.8752570719486,23.77037477333608,25.434815279903532,26.152167143514454,28.42571287826245,29.417870917239966,30.95118945804465],[22.589850852098888,22.94912587700438,25.81812943095193,21.84570700945994,26.610074564102746,22.17896879613793,22.924178112209816,24.87440542170333,20.95465972156507,21.82270529507973,21.92473066384728,24.79342504842756,26.567898345888928,22.85923475372662,26.54293371071641,29.488442124166017,29.21550320445152,32.34356183685549,34.29683004914922,37.95354195222355,40.49287209778802,44.9452681321171,45.07201414555848,44.71240015312272,42.75894012777415,38.29294047038809,37.598925970082256,33.810221636969615,33.96631063655184,33.70939501895429,33.664423999209454,34.943640168457996,36.81774412008807,40.275710700680975,39.62877796453887,38.233088022985655,38.80178790731823,39.941670327188056,40.569435131306584,46.87824025918878,43.405639826071194,43.01565029404083,47.49879166673891,47.714862004593186,47.83339616449762,47.680091273442024,50.96293334699566,51.42595141209335,49.27536939163866,54.163826754753515,55.78681143366207,53.72487668230777,55.18333245209239,50.50488739705023,55.503528445536894,56.70776010351126,52.553808906210186,52.66633349559,56.778002564741925,57.05628086066191,51.803341275862984,51.30403783103803,48.55526252062096,49.87393166580447,48.668403493317356,45.22085462845665,40.78576787721019,37.70233006041199,33.9797803768241,30.945971060866835,29.54849982788524,30.038616761798348,32.72756852137377,37.05735504443554,37.19532396895946,43.119940695170186,43.83675749580079,46.19822944151328,46.6614106940943,48.820142917905486,47.83082251057211,48.919741625133156,46.643751067875705,48.591256512096756,45.6954052263103,43.27898823535581,43.96915398704127,43.94794132045983,42.32250187497069,43.92335598420273,40.457598422065296,41.68930967312642,37.98312763075796,36.29417883786046,32.1534063398619,30.645735918816232,26.995949479702976,31.55166163061237,30.133323845040508,32.22018431514932,35.24562312383895,36.34507686966327,38.566906649874426,38.40310426837327,42.788316708767915,39.02243278412626,42.260780069763626,42.413430385274324,38.63277384029851,37.46045096452656,32.936772501984606,32.43173249776242,27.924282417927486,28.62539286025406,26.647850781950204,27.02693127005711,29.08004376722531,30.419205990765306,32.25547578116299,29.793738417639993,26.727244476246653,24.50362819220489,23.973112137927078,23.278305598869984,22.654745691316368,27.237339655786343,27.91535898978873,31.569945009489356,34.884524532791986,39.101064097373836,39.51384070659923,43.769400523837945,44.69820685617386,44.58505403369971,41.20205425988876,36.973409336877005,36.35106177218066,33.370290290342794,30.939216179757054,33.484649535168046,34.553005721340355,38.00139297661896,35.77092733977751,34.40166703007626,37.25950707334782,34.89438971788966,32.56409704712907,31.523560952304265,31.993002637166995,28.409775399691927,30.599543582299603,27.596247079543517,31.391671225705736,28.821149537386344,29.451706124864216,31.69388139745303,30.44050098844118,33.059041976183615,33.15679232268741,35.32331776279799,35.99412321500841,37.224941084829716,37.051571656980464,41.00057644417607,42.770010489764104,41.24243531774288,44.15165974781277,46.32380561442058,44.35961367323001,40.53227359571632,40.60574271630507,38.11940996083006,40.82286723994351,41.30459087990038,41.22098885808768,41.644179890623754,38.73713970580993,43.97804849441799,44.5582891554243,46.05939591459984,45.73543882749776,42.28419263800722,47.20821616915768,49.86745163524816,47.03155734664229,48.94019616774583,46.90875718852131,51.70895138259471,49.66661922246131,52.027600281251175,52.547392338295566,50.23128342927887,50.15239333288056,48.07605456522045,48.14516636809199,48.19500418958111,43.755425201805856,44.594362479407636,42.00498696860599,40.22120888833937,43.37297235022834,41.699047745041064,37.731995268026516,39.052222508217895,41.709659772660004,37.57950679303097,34.8159379196974,38.59772189943482,40.115377381485175,34.02029269476116,34.809246133465855,37.73821167672833,34.74652762762094,31.557485396365095,35.29770534096499,35.54903318742872,40.245868092414646,40.22606545682297,41.03895329857237,44.21822431449811,48.98943156694998,52.3445220832871,54.14067553383598,54.37825598028396,53.45688795750151,55.87173973849971,53.38919417101418,57.33166747178793,56.35899078857019,50.228676441932755,52.72745933346476,55.96237313798277,51.83478051718834,49.633552766982305,52.82627863361516,52.4670019481912,48.19493627639923,47.27812363216935,44.57817126631682,46.736611080143845,49.8213745956828,49.12693417425552,50.633614428417324,52.712743678456256,49.66791025866826,46.64882274266732,48.357986908615125,47.80946913520951,43.210913989231784,43.21441153480397,44.731881628237375,42.29612085954565,39.965824645003394,44.50404637823685,44.11659108859629,39.428978593964885,41.500013521899255,45.46169252606045,44.90088512608448,47.99125710755747,47.282617263015396,50.97029254603979,49.27085768336246,43.985583826381884,47.64700948487842,48.979755169967696,45.63888209090159,44.37252383043769,50.13157522976539,48.49702230835015,43.34807228593105,45.77822875758279,50.199753648049764,47.82333487499018,43.849358432275444,39.127281048367976,42.155601944034935,37.54150475755958,38.69828986070172,33.52006332552195,34.540919942215766,30.495577917623926,29.087901490138556,31.50250260244411,33.970071135077596,35.07823938490939,37.7863012955441,33.718450187801814,36.587927259619434,32.55907405668402,30.035619025127254,32.94120488819822,33.209789773697,31.122102706539934,28.914270051249797,28.25234075248829,27.43149651863371,25.028240274885416,22.56180248137442,23.60693177964218,23.68233621512511,25.704831253186168,26.537648874735083,28.200102773059477],[26.806479232312864,27.364382460193134,30.44506642906409,26.509915952201723,31.539636705601843,27.505654902180716,28.323657154903362,30.447993952052347,26.496394892554854,27.056831336155767,27.05365194849857,30.06234500024467,31.65832149849312,27.643038260859672,31.14876439062206,34.23973865092037,33.788105105458754,36.549861246852856,37.99148156751848,41.95035762502398,44.11359173132912,48.6600525670763,48.4336078084408,47.94483095673283,46.360954866131166,41.899456777204655,41.63424873330905,38.06962203999334,38.449255323204085,38.52314126090261,38.04758215968853,39.82253444008283,41.52907671429519,44.740252698392126,44.26998075644905,42.72284585835992,43.66281819734461,44.48296320554657,45.073954339610935,51.457806304714,47.66277656418799,47.08516898263078,51.55704705897103,51.65364764730521,51.50132000439879,51.397235691460445,54.52582724584882,55.18411437655979,53.32694210265428,58.11643179642332,59.921651016596904,58.00478400161115,59.47872256419185,54.91571017247782,60.009761697990925,60.95478681993324,56.74445691464323,57.03099416464233,61.0227655124051,61.049286117696404,55.72299212214516,55.14540199040918,52.42624164924963,53.361025914115956,52.293061293485174,49.105146646767174,44.285703126646546,41.49196885080495,37.40074583822375,34.59382296416959,32.86490103982191,32.83006718729838,35.926251029353175,40.17351346716916,40.86104309627398,46.64346919061728,47.71861998544613,50.1930700391951,50.88465137743482,53.124506031229856,52.47114789793345,53.630410372750724,51.64105330859517,53.56933360853835,50.528626156508665,48.13343372950965,48.51989330992164,48.69526792511889,46.66722099509554,48.28906941769688,44.57739434700129,45.45504425078873,41.90186858232202,40.50554873663302,36.57768362653418,34.85757388152478,31.45380947948242,36.36872155270833,35.23795979448817,37.5062157127469,40.47688896048684,41.83679809730064,43.904746128747874,43.90779484627321,48.21616265787485,44.449563436731914,47.723665751410664,47.73463710719476,43.91978540774309,42.911584040814255,38.326333547276874,37.75462405459166,33.279666028968094,33.68454970724859,31.54889578904225,31.565048878508787,33.38930024717356,34.29175113540324,35.81028327735591,33.77438176629932,30.589195696557923,28.775443067002207,28.099975384847827,27.872355874646182,27.66279836547991,32.10475453663749,33.10361025161304,36.677007003978176,40.014183274138944,44.29253601130109,44.44722109412204,48.81586539583599,49.5985627487145,49.71821629836545,46.065083104760745,41.8428855234598,40.95605296539888,37.82513578614738,35.16145187559184,37.89998220937687,38.34167005875659,41.69014435342811,39.68663026046064,38.64396130951289,41.62374795326274,39.51401608984291,37.257473700857375,36.54225777532526,37.238890806801386,33.80782348283006,36.156813127051265,33.19343177552585,36.98910627931345,34.29205671737328,34.870631966626426,37.18079255937622,35.88140287961082,38.58282883820973,38.483281104878614,40.71342274722178,41.08574239880125,42.14680108346551,41.680712925541606,45.694185784210546,47.31399863299006,45.45062831554206,48.563402692105655,50.44572830939166,48.550644662727045,44.693505953912236,45.055440080299114,42.64349055961274,45.599570026678336,46.2652862599989,46.28507677134421,46.895776505472035,43.909000980843814,49.234866602503075,49.64782831071144,51.26399398621273,50.738329646653014,47.49848049735594,52.292517560798,54.82140576929894,51.87457384734353,53.6422007521893,51.47762141085621,56.146781736170325,53.77023867657283,56.36838781568203,56.87988608403458,54.77321884329045,54.70113860670096,52.704250260195494,52.82510244837269,52.820612441942146,48.33879025207403,49.36673589533949,46.748070520676656,45.24843089558551,48.3405645209345,46.88670816761614,42.87704537292718,43.909343109560226,46.67734842597371,42.67822486701633,39.56408127676123,43.309377311795075,45.081009573490775,38.908985025373475,39.4046134289046,42.341702216371345,39.54815487706904,36.068544795470046,39.50792408480127,39.72673927306067,44.447240275958514,44.11817914107883,45.31236508695167,48.53687250582657,53.29562837765623,56.50330121804895,58.45730955911535,59.01117301902171,58.19598647587473,60.7462176539513,58.42141783147327,62.25777346079894,61.08702988506325,55.00776734343765,57.61373321348772,60.61382010417874,56.35580458075765,54.28884085019617,57.452184326869286,56.7710178959922,52.489318932237865,51.77288873174692,49.2370652584429,51.71547904019347,54.8270239067423,54.22538813358199,55.901621620958295,58.044008607505084,55.092574405275,51.94831604098755,53.634082188685696,53.234482277792594,48.62500844711756,48.45900392050927,50.01814737756876,47.62183168991865,45.156263517621895,49.5811124962932,49.21456612898437,44.48343157372848,46.35208766206836,50.27794660463963,49.6799095368473,52.89491454586292,52.326638381747074,55.9029904605736,53.99044846945172,48.75822496341399,52.4725138977229,53.54830886872284,50.12367941111676,48.95388576302226,54.58070158056939,52.647786679706165,47.545783757609854,50.068200638297576,54.28161377356513,51.637228143632534,47.67861223673996,42.99603841442922,45.56436983603477,40.8486843354506,42.21749635480819,37.26403057685984,38.77120266446995,34.99018867274786,33.12350672648597,35.596140097825064,37.74256662659878,39.10036052258485,42.160922970810404,38.41276069262551,41.46439909452903,37.548619402903604,35.07497211065184,38.23374776257926,38.50853667960325,36.64852930651582,34.28396552982737,33.44318177781207,32.80692175286594,30.541310054629403,27.767558269886457,28.89533306548397,29.08771214733046,31.140096836068803,31.84578895987471,33.39177194468829],[23.160043691311895,24.176479389287437,27.47412061259739,24.498403265467097,30.050115885480125,25.999766178846443,27.592172939375416,29.72134999060183,26.27951519535273,27.71578569798841,28.026797148486178,30.634067826325737,32.64643456240743,29.15878526062178,32.93083367166698,35.809140603088004,35.52552527440042,38.77166605393662,40.65348430309315,44.3106111585804,46.82646092349935,51.24808498715447,51.3065979695449,50.78030049464054,48.866487574047824,44.43523262557294,43.7276437130205,39.97189408639006,40.2667548709621,39.94855333260541,40.101321202234985,41.15982030244791,43.02911532258119,46.62106423375857,45.970276867922266,44.62906995315711,45.01459367492126,46.18658503413818,46.67302080341815,52.91944528734083,49.37129968763769,49.214578047966484,53.711574113752725,53.75225838194013,53.7321602611985,53.37499630783041,56.607826530642626,57.30505208102196,55.06578305463135,59.81692212338562,61.61453423746073,59.62723271536575,61.241450418927705,56.55863276456983,61.654472626287095,62.935784671398,58.79921238855324,58.9782852486389,63.139629363616024,63.375334692262,58.17490012427602,57.768181843144696,55.04924821628182,56.33363873887801,55.08071225703453,51.656124457443326,47.215524414456965,44.18487359717816,40.412450144900845,37.43967836106742,35.97851063663339,36.36708240551214,39.16416279009309,43.48133825880441,43.69561037511925,49.599050270736875,50.33979823110187,52.68060792225818,53.12653251576772,55.24644589575952,54.14364231198215,55.107309580667234,52.68606193249363,54.4996942175854,51.60362986002678,49.35430669749914,50.242464442785945,50.21994702655742,48.74848783510772,50.34382472078857,46.92818401380666,48.13200179352354,44.39431675946996,42.62715197921161,38.50111028808341,36.90657871634715,33.29866045613358,37.66887821262861,36.057027346218554,37.654899444708136,41.07682978975079,41.70669958628426,44.288428144790196,43.661406441938986,47.9835116116782,43.93018570127914,46.802798522324785,46.75245682584625,42.70918725232177,41.83160573377688,37.17917298374027,37.303490324658284,32.99549212564821,33.924757657747364,32.463743661738995,32.72981211133876,35.08533982249597,36.19375528606586,38.35881341607833,36.09562421013379,32.932269464064646,30.676589082449002,29.70646849169834,28.893144586667404,27.99288683613985,32.16140543354648,32.23312466876996,36.13112974299973,39.23953421586299,43.7406998187839,43.623082589020015,47.87554922825551,49.091963008895945,49.300299312370974,45.85529303549603,41.80405980528356,40.59744109301319,38.08176339394965,35.83431735621484,38.73622682296184,39.73926845010199,43.47005666024605,41.55256778096469,40.10782161252966,43.10995990511572,40.90597624849785,38.40980241477274,37.34656238512884,37.52782570426095,33.85135250378275,35.59410650159082,32.62346224483656,36.09502719344921,33.152601120523315,34.429121754798004,36.92654973046722,35.994045869074725,38.36377481009522,38.896151917350984,40.65986723265659,41.44823456346214,43.08025628134326,42.658271892716364,46.76973462836151,48.195424285753205,46.373116889264104,49.075500153108095,51.0383218732345,48.76377303574508,45.09267035035762,45.25968411021067,43.13162684329709,46.08639721126867,46.74376696154026,46.86219278116172,47.24502050501534,44.59258300841895,49.748200188715884,50.365373650993654,51.666122632906145,51.24477554655854,47.49383643202267,52.28834395659282,54.91905645661484,52.16944527107824,54.44659455685946,52.65685915813313,57.321080006655755,55.112288459126134,57.31103445481915,57.57607369461136,55.289880049947584,54.8506608011543,52.582668215075195,52.40961743988393,52.0738893755899,47.528451436545424,48.1899912324293,45.205272711048444,43.72987453986141,46.36552028801043,44.91208711623245,41.01903972814684,41.664390149410195,44.18181242551086,40.20976185888744,37.0073438425183,40.42921387083845,42.121308131906474,35.91842685968066,36.140511660709706,38.8719556713742,36.17436104282244,32.53088215306967,35.67521188254171,36.10198251971262,40.63002978025905,40.60706056673984,41.98481909675527,45.027338379887475,49.92552616478064,52.842068135352264,55.07768439710468,55.85005333448908,55.33206868733738,58.07955042731234,56.055554191793895,59.9655677069694,58.54863646018649,52.63863713981171,55.54265551846943,58.47179642604163,54.11599267746448,52.328452011296655,55.75031276608628,54.829609655618775,50.4811958177861,50.33675929123819,47.37971474226703,50.20327503228655,53.113644897417,52.158164383748314,54.02331727196935,55.91314062043023,53.29514770425079,50.06002027310997,51.27497709730663,51.04769671359259,46.57403339176022,45.99348259209151,47.35784578750269,44.98223941085582,42.36275389546065,46.52991156711132,46.077820352803684,41.29415823494138,42.955832084520274,46.80674789064352,46.31573610777674,49.74149877822281,49.523343330220136,53.045714213904894,50.78263665980788,45.7686915865264,49.760551178808214,50.55974255147323,47.054323405469766,46.3232823279939,51.85693082943135,49.63463362470336,44.72847424069598,47.6467672621189,51.62039490759037,48.75238949127389,44.91167712381529,40.1930100747936,42.6142157176062,37.854641160454136,38.824849002987015,34.07683866562632,35.753115683819814,32.02403783623125,30.219022708314185,33.01003573014436,35.212265254253985,36.92103202895406,39.89178762599161,36.517626822082484,39.890115690649466,36.28079587428326,32.99963208562873,36.267666296759856,36.14700081815715,34.91317189825768,32.495824159881685,30.938084428256378,30.406830051029758,28.915289664110162,25.168675877369733,26.319138047846177,26.967261939236096,29.292884639423562,29.98067903024158,31.312568418149546],[24.085764148850284,24.895039291207954,28.223688007337422,24.935956622069707,30.591242498299692,27.13806251349079,28.778647335602304,31.332851718593055,28.017629012167557,29.199460695722255,29.80210744277273,32.684456025152976,34.208129397435115,30.576829573077045,34.578544559319546,37.423300127808176,36.72290280682991,39.91765927834465,41.41329358835704,45.17441459061765,47.50987308649609,51.8984314359515,51.768715758132295,51.00666990768074,49.23183044841153,44.853161188253274,44.302743006775216,40.71361935509214,41.367519825668325,41.360893424475954,41.723276652908,42.951213522537735,45.031973491531325,48.4799594649552,47.64152339137728,46.02506981661057,46.50532873527024,47.2554105422995,47.52212903938487,53.76665585380742,49.90808675346369,49.8790854974551,54.382941788243656,54.171697809810794,53.90952602158902,53.421172342929296,56.546127667091696,57.498276177310224,55.341354268277996,59.9419040525166,61.960658628122026,60.11758604181602,61.88440490993568,57.27850251018493,62.570584204998106,63.74187989870392,59.60326331539565,60.02569226388644,64.17843331738459,64.16602121802654,59.02226106554553,58.82086086790936,56.26433947592763,57.300763483496304,55.913803653835195,52.63371322723089,48.09493034203862,45.296352872829175,41.32907790787916,38.643186015491494,36.950728995218704,37.328253672478226,40.39241353459253,44.53101936260274,45.036362319120535,51.019321033560075,51.65060437397155,54.230132135072544,54.568658467799295,56.532035895543714,55.53925425755625,56.296197010732776,54.08226037488952,55.66212236456621,52.57348736513799,50.54320785903739,51.37987344327048,51.68265792873238,50.06248036009934,52.00464474974145,48.52074843160725,49.80873753759066,46.18477363300379,44.58525232990814,40.401243463095135,38.97885124578795,35.28800774057074,39.77479387255087,38.186817066755275,40.032135865212624,43.109322888927196,43.70822968431876,46.03064314932447,45.304658449812614,49.355463587649744,45.17508746925738,48.042175731450435,47.71176174188287,43.62418984307628,43.04914007425683,38.29087234507901,38.35971973776281,34.16613777400582,34.76917636648223,33.42111444786239,33.30192471096157,35.713880765388694,36.416434419063314,38.74116111095676,36.875867600298825,33.54949295674614,31.45495651018779,30.057211247142792,29.472085484894933,28.813567713604186,32.694341526096586,33.04662100466099,36.83939352789579,39.9444728672556,44.54593467544995,44.052591072958684,48.42624076963995,49.494723827165046,50.03048284794606,46.272322414306934,42.28017976942454,40.71722237665082,38.17562606970172,35.824602184814786,38.9779133798965,39.57368266375025,43.38722117146891,41.77838954462864,40.46354677091728,43.63453627730006,41.75968903877666,39.18964638229008,38.44957934955652,38.73976235263085,35.28234873917342,37.20602493245771,34.573307791120996,38.25718233149157,35.6473307292395,36.88689478381065,39.13678097052174,37.946140262265665,40.158359730844474,40.52509645770431,42.01998768791914,42.394901880203136,44.09726679765942,43.22181491424711,47.48696385254236,48.58534466865979,46.39859053436506,49.1607738290474,50.847623298705884,48.5464315175154,44.904478531710616,45.307402573831695,43.34920811382892,46.60461079228777,47.52629781826177,47.88964571200483,48.535669003552016,46.00528569556584,51.27672927641581,51.578234021689525,52.882893925914765,52.11096586301851,48.486043741071704,53.053990133649584,55.522032287882475,52.69212602125795,55.002438946369246,53.24842571725688,57.719625233807456,55.19983326714567,57.46913334212013,57.62429421584196,55.51222353854075,54.9656360082641,52.726340111228374,52.56058781003089,52.13285398225418,47.55650257518923,48.41077023356799,45.43206974092834,44.295027619004536,46.92334056800627,45.78658458617734,41.820684206925904,42.18843658870772,44.928657889821096,41.17601515502594,37.55692974157521,41.05723698527082,43.16756018642999,36.93637749818599,36.92581196370224,39.82122509162676,37.43802105741183,33.530079140231585,36.48718560484916,36.65023839083176,41.33265963627469,40.70553216279407,42.34378873219808,45.54132931697802,50.28776668946061,53.237621523600055,55.43028181194572,56.43853300248528,55.88455989247965,58.70180546771017,56.77807811317675,60.50313389538872,58.93089282477874,53.04721908544035,55.98273544123764,58.65025670023095,54.197906799114854,52.49425166723191,55.83243804846858,54.635448485964766,50.30618777302607,50.27571342222015,47.55057550032933,50.6785207567611,53.63989292847643,52.89188599023179,54.964296793913654,57.05324902978493,54.51733063188362,51.07207971345896,52.43147961657194,52.459108355742785,47.89810316791124,47.17684029854,48.80173032012262,46.5708072280746,43.73423078800199,47.8626286813317,47.64419892354001,42.89567028517283,44.251912726391566,48.0779703386172,47.36498914921121,50.77579582542414,50.5264341419703,53.87743892517489,51.55232678764468,46.49805901095997,50.37912880588099,50.99315967713842,47.45618854389347,46.632389456624466,52.03050869995829,49.64433611021892,44.728750048544846,47.58078026959318,51.41710532803776,48.41317667016435,44.56474953438726,39.92500084887686,42.017639438267246,37.233566227591446,38.54158342771975,33.92948602555764,35.95721712537161,32.542729166112856,30.261549051735933,32.93995261996973,34.82049070767248,36.627532748335824,39.915051970784965,36.804146052945704,40.30026612724386,36.81883055018421,33.779588472754845,37.37165402403869,37.46797244237111,36.47943329462301,33.71717798330553,32.199915464165706,32.10411787900829,30.450977136390996,26.723812998697955,28.320620972131543,29.23908313007502,31.62447919003636,32.47512364180909,33.82436587558691],[19.979844565140954,21.205334390295263,24.6909091258933,22.49707502259286,28.55018096713214,25.31932009372612,27.72886583919202,30.315787757702775,27.674453203115295,29.6366759724686,30.614934342436335,33.0982691069425,34.86406318772852,31.826812139388757,36.0666820624724,38.628858842891105,38.02314245139693,41.66611618647319,43.554539798972506,46.961378746300156,49.63291922464582,53.843528938007005,54.009874533129874,53.198085653774946,51.084252431487066,46.78560914859059,45.7804600896908,42.054292102910054,42.66070597325784,42.30414050605813,43.37672596980886,43.87848404464465,46.175468974839575,49.94621218636874,48.86324579681253,47.413702712515885,47.3213511999168,48.35035522350407,48.46765579759265,54.50230602381641,50.9085604832254,51.34551842797353,55.83759907201984,55.543655943259154,55.41212565829375,54.64732864253444,57.85853766814218,58.855031937269594,56.30404773866033,60.82158605361053,62.82825467498436,60.93216164063017,62.852506864013996,58.16275735765925,63.44615457639444,64.95718086878573,60.93010312674467,61.27235501458773,65.58225237126241,65.76228763640884,60.79523214350284,60.81839302728161,58.30976380785127,59.685249581355045,58.07656039475844,54.579105650470794,50.47722691511604,47.48239516898845,43.869568437508505,41.0838849048257,39.6585068894768,40.49167654441823,43.24696553755308,47.39317434436952,47.42918345289252,53.52514501010358,53.746836644827596,56.22070670220556,56.256101519967565,58.037772440045835,56.58806910690423,57.08473865803727,54.4720365476982,55.86805765250772,52.926583571603196,51.11044643785731,52.464832977711204,52.621447521061036,51.5811641362409,53.56619195541252,50.4170068945302,52.083267617011145,48.32023189877765,46.38829984986411,42.01927115038725,40.81487736588077,36.934560217917095,40.81733303810075,38.763240718608195,39.98258524575526,43.34026819225318,43.16285155187555,45.90256068519415,44.503715449797355,48.44581803217938,43.99421046607473,46.40905305617318,45.96071751563413,41.68070021598961,41.31212407477113,36.54077289073787,37.32438155789113,33.42034604564867,34.497028660514324,33.89960352251862,33.99331374034181,36.91024664424352,37.78650910958647,40.76479740437944,38.721155612781665,35.45911852283442,32.97084275213677,31.271292862623806,30.119083570987655,28.79936214336373,32.23858015755331,31.64559939841962,35.67503770571269,38.478729745918756,43.25788109266801,42.434833002619264,46.64677642807211,48.13991073215435,48.80220693399933,45.269580963283566,41.52099481569353,39.61353355401122,37.768834398797104,35.903426611658716,39.17951850464323,40.346105424826085,44.50929690097514,43.023484262289315,41.31014711424968,44.471351131519256,42.561286387267806,39.77156066728643,38.73053286066924,38.49955593245401,34.90857254877222,36.20961961397914,33.7362545669787,37.08367152847078,34.43657387740752,36.334275146907075,38.61787594270256,37.73404596368661,39.511924245827636,40.479139220416045,41.39667118141082,42.11990088409007,44.40793187726359,43.530039190975415,47.859863070250746,48.70553753484972,46.56785040547294,48.86225768966044,50.60753684558896,47.92736695196079,44.52987888434085,44.72828591280235,43.10881328328559,46.34352327729893,47.276575282387135,47.77731103108037,48.226604749077566,46.10614393683935,51.163194076697536,51.60610250693335,52.56661456303511,51.85127416452908,47.74942195384827,52.232216884914365,54.762641731814014,52.15879629016126,54.9895353512648,53.6550958415499,58.06410115583193,55.726237610706164,57.5516134416753,57.436920812451575,55.15980134528327,54.225031277210675,51.723263179868624,51.24935698517849,50.472900540628544,45.87592286055293,46.350084325513976,43.0230584976476,41.96530780704411,44.08990465819108,43.01900031631936,39.20954609826636,39.12523590054344,41.61590545416941,37.978823757687806,34.23647633202852,37.37434087597088,39.4720180068395,33.279589888183054,32.93646063732779,35.63652873353886,33.463732202622154,29.369720906292766,31.95305526517665,32.256285996735755,36.74770453072953,36.32340103951394,38.160274692787205,41.18366611213888,46.01412590381853,48.69064633527887,51.12700158790623,52.364500112692326,52.09196248176068,55.09642244649183,53.49554486642614,57.245382792865975,55.41836085993006,49.74132073457437,52.96089886608101,55.51394222012377,50.98254068270964,49.58107997496706,53.15253440236986,51.70478358433469,47.34065182409601,47.90640910555998,44.78694612941959,48.27398419030612,51.00924041652878,49.93839477014548,52.221563873954175,54.08151539868939,51.91974054508996,48.366916752717316,49.27312227328548,49.53755837332631,45.13250080196121,43.966304040126204,45.454426335269105,43.31170739857616,40.28622496685458,44.11117670245374,43.8883763547307,39.14965177957974,40.19280495948266,43.911388138128515,43.242135793493496,46.82565493783477,46.90939075250998,50.14995877457752,47.489501543388684,42.67391476901386,46.77994283330913,47.09098518638053,43.49404641950872,43.10103334252376,48.35268382224074,45.682447239384885,40.994745233680625,44.21969915984144,47.781191248780075,44.57123347455874,40.86596398622477,36.23392137429113,38.15530858073935,33.36986853207134,34.26752149869084,29.916137191040683,32.1287665803839,28.8703002278551,26.62381590563467,29.582058055391084,31.47118768000905,33.62851848145853,36.79590594730555,34.15356945598469,37.94683668633104,34.8667845799417,31.077894726561922,34.784271813120675,34.52749313293854,34.27605229771492,31.42163287035818,29.203463864347174,29.363497294727892,28.504558687366387,23.884816703859734,25.636256488111616,27.122868184489693,29.7434431585285,30.64398649109711,31.778008802341557],[19.123976177231796,19.321820249175875,22.529780101597517,18.829839010903203,24.58435268045086,22.082835507228445,24.069148178625436,27.292905199020403,24.680069508486262,25.983388926888868,27.432605534576243,30.43160767781944,31.232204750768535,28.011675964649626,32.60645100832848,35.04106402942444,33.77563693541175,37.36533894299187,38.796283268054445,42.23150732639521,44.730488376611675,48.83996635776313,48.86058039734273,47.79545517280622,45.76002718067746,41.55369978610254,40.66272077259323,37.14812271987974,38.22545554012813,38.33079432471943,39.81412809703939,40.54294325378841,43.23864339017564,46.73674134987337,45.28247934638741,43.39629528896242,43.436753920243,43.82134947717644,43.64764795350004,49.66297996653581,45.707732013785105,46.30216085728534,50.782741267745024,50.205548872217705,49.85016244559318,48.966103810716454,52.08179518524254,53.28870982128673,50.821967487861976,55.2015898270755,57.40794438049466,55.66328367038766,57.740947241864504,53.14825138398766,58.65780493844666,60.02566476473437,56.010681004502594,56.65650740431699,60.95258648290354,60.83003514822493,55.97125845888147,56.31277727572071,54.06553260115939,55.17502095304771,53.32669168996112,49.98683386893917,45.8970186618258,43.188573195009056,39.45266726931895,37.08185675005602,35.44152622369516,36.50397022788067,39.4568570374496,43.28589513336808,43.565818701147265,49.79996990552069,49.69075918085199,52.518412920611766,52.30102988426672,53.79926078968011,52.49502566895891,52.68649252244076,50.432025388523776,51.5091376477159,48.295423546323136,46.75775962952517,48.008649219993785,48.655298857381744,47.422323021655686,49.979357107147734,46.80046092948025,48.73397839866043,45.1650733186942,43.47940254959655,38.98610795573957,38.213631704309655,34.14995127306201,38.13986328744625,36.16084344088422,38.010105440274636,40.524630702667935,40.48717060948996,42.588873477048786,41.25197483181402,44.7729537512136,40.28708740823694,42.928753426159105,42.16857235345101,37.98510818928708,37.90283370690538,33.029611492920935,33.33052132403563,29.510139356934722,29.958904342253945,29.36993484506325,28.952511328379618,31.901726494411346,32.3353845429175,35.55545961686561,33.963708076978826,30.548151866274562,28.225904664910328,26.007674819486446,25.13520789640461,24.23731397666422,27.396073686121294,27.570942651043293,31.303628940343263,34.24334375434081,39.01690419061188,37.9637220296874,42.385641919281596,43.47125723113243,44.415223590650605,40.447113080828984,36.668328757066725,34.57998028800301,32.431344904463174,30.349492292828145,33.81199067407427,34.54327966472964,38.74515819847684,37.53778586088495,35.96619293341829,39.29152081197117,37.78744170664197,34.9408381870794,34.37921571058414,34.422812559288126,31.25189566113003,33.080039375709376,31.203047410719236,35.1019287345545,33.31915259377283,34.76003695113422,36.42163748408568,34.918708444493134,36.51890750954913,36.99728080779668,37.640691248154155,37.653581903311036,39.888439208071965,38.45718408807756,42.93303182210552,43.466519073986575,40.98944080148555,43.453310628673414,44.97025162269412,42.40715090801939,38.94248716066007,39.39280002217701,37.81156530130537,41.34161361679726,42.568066863387585,43.34006632148341,44.21182605164609,42.189332791552516,47.44752638504849,47.37275383585418,48.424555667751974,47.229267690082686,43.46875859306002,47.686210728251524,50.00054059143883,47.2318390509006,49.934127352215555,48.557813964127604,52.766806741538836,50.11816359491518,52.084365275916625,51.953828606567264,49.879302427650785,48.993647466667284,46.635473922408266,46.32635925429141,45.68114432599625,41.07870722941905,41.96541116185417,38.92290373559153,38.137168503145595,40.68067517442871,39.92658257920843,35.91095469404317,35.93639990096433,38.93244070261802,35.48687998895543,31.39809796129314,35.03502489613177,37.68096150159162,31.483936889961488,31.282365729785173,34.47949144327211,32.53077002379273,28.388239127206603,31.295172056022896,30.979607488718763,35.9503481565742,34.54884305722571,36.24861348542202,39.687385761461265,44.191167392108355,47.37476767435611,49.32258929751689,50.42109457105347,49.71463280803794,52.54242999142781,50.68448227148092,54.19668436886063,52.5130717387814,46.64320318293101,49.583053442357205,52.02010336127303,47.51008758308083,45.86491741219366,49.151242984119364,47.761741929660054,43.44747111730897,43.54066538032672,40.944120746977646,44.386757995070894,47.3569426984154,46.8139748665432,49.1412602345266,51.47982836446255,49.10007692252665,45.36602375735505,46.917609445499174,47.33329458741674,42.666112082682545,41.74724403833938,43.805601194360435,41.8445553984851,38.692379779640525,42.8058661676454,43.0292668374619,38.415054813781026,39.335560432901396,43.13910045195088,42.03570269084216,45.2992756411095,44.88387716867647,48.01771550568487,45.76545967034771,40.595046695340756,44.252289553178485,44.7672926864086,41.24641044064511,40.20168218686342,45.500529694462784,43.111725688120714,38.123198009633725,40.828249601703405,44.63967408217479,41.66366613889381,37.76923772051324,33.18257752135234,35.249539683204866,30.490238606106875,32.12813158457688,27.451044942292118,29.613118474525326,26.509918137892676,23.79652735686915,26.271757336354604,27.951245911604655,29.742412376463918,33.2254981072071,30.359725123376606,33.99655768338153,30.771529839502104,27.920479775324534,31.9226528728639,32.348554788471766,31.8549277380623,28.543024120262924,27.089723988245016,27.78079452416424,25.946567550397027,22.303885898573295,24.79467688745785,26.329399233265143,28.838703581915766,30.13491087417843,31.55410687223798],[19.925532311969945,20.6268983264583,23.991505921274054,21.52659201870772,27.60404460832438,25.688081740282904,28.30491883290897,31.581062424004394,29.465153113507395,31.192187478424557,32.79217237522889,35.555358900135275,36.50655140355006,33.54748449558223,38.197216596132904,40.52783149718604,39.258820603817135,42.972659337817795,44.39676369082016,47.7379155710837,50.25763130639261,54.271310270101885,54.291061016609206,53.075345365545196,51.020733552938815,46.907068172088394,45.931317868682164,42.47012035309581,43.64927219135632,43.674270472244814,45.43619460043868,45.89671532051019,48.65309491218366,52.27601629930331,50.74073627404871,48.89668444927805,48.70662407750392,49.11151563491781,48.78002021795698,54.64370583158287,50.6890259380186,51.56917146642053,56.01964002172056,55.26374598958221,54.80941558603598,53.6998497624634,56.746472745794634,58.16319203548288,55.5737239497032,59.75972713855469,62.11165015571211,60.44909213356316,62.69018792116544,58.12059918194904,63.69601958426299,65.17649111518996,61.22620203731078,61.93782432599521,66.28776712088695,66.1375062878666,61.39555215004875,61.89327892737969,59.71364421999181,60.84092091698191,58.88833435256327,55.54817620277657,51.564636610527934,48.8854990114813,45.19241701948853,42.86916262158975,41.23531331036815,42.31849727734741,45.28844500419269,49.088235406266094,49.34333422207788,55.59214049052937,55.38468856944461,58.2065732041259,57.88645570608781,59.28159837434207,57.81632057329297,57.820134023267556,55.42630210931521,56.312414114586886,53.12647353459193,51.806562638633494,53.293726381868105,53.95492036547827,52.94014448242045,55.5491699128913,52.47566760489515,54.4884308541114,50.88479610096915,49.10133228975319,44.57507006681765,43.80818611937806,39.726267277001426,43.50179550206601,41.32803218020292,42.78072385680363,45.527010391371206,45.02090596868263,47.378829450596115,45.58120639529208,48.92907012961493,44.221269456201,46.45219773019929,45.45958308873185,41.11272405686599,41.36939007222949,36.49630402693226,37.3817892819166,33.87943149213464,34.527439874801466,34.45049262605966,33.98879906391911,37.168065791268084,37.448298092777044,40.97408596860857,39.51974952827234,36.096811393194606,33.73003015029062,31.237199142126546,30.223698078303652,29.071193697224963,31.719447308735482,31.29347463684147,35.10311423977079,37.73504539562732,42.66321016585767,41.07561511604442,45.387163302927135,46.73838632475294,48.01285222328723,44.0590601640623,40.56665990936509,37.94700099153299,36.37691110586998,34.59738121834736,38.27350651696183,39.02030619548808,43.42498078790365,42.52484604861375,40.855497909595215,44.238709592849034,42.898721653941955,39.93274159140983,39.33749572000979,39.09518052411919,35.92644894646059,37.322558520770606,35.58838011540896,39.18239679999086,37.25305918507491,39.1936537172883,40.959691091302346,39.69736383131418,41.00646903724911,41.85876653703666,42.06267020225338,42.16515693630559,44.778869950578134,43.13469587450572,47.691499523973185,47.85826213725765,45.16136117781838,47.31763619316983,48.61110123111072,45.755872048800946,42.55720042360878,43.05959806366661,41.89454402546349,45.5827067835932,46.96451526394099,47.942984704465616,48.77862032058984,47.0659218628945,52.18784807712753,52.110761919048095,52.93225570734406,51.62443225721594,47.61462418639174,51.6085792750188,53.84953425213155,51.221346491936025,54.29328267819834,53.217424163306774,57.230516341296344,54.479960761119806,56.19916189404048,55.78798561403679,53.75801506869522,52.49005026410867,49.96260590555592,49.39368710531657,48.34918974832421,43.74459085936899,44.42612188656757,41.05636954513225,40.64611873787425,42.60412564553278,42.153100052646145,38.30905285340235,37.61279035057257,40.437791824277376,37.310170369487494,32.83172043040917,36.005495755802144,38.88031131557228,32.78449185033239,31.969155894469957,34.93657393146468,33.46958461419066,28.967036909902117,31.11077320195782,30.844040631664807,35.564925389404756,33.949588428185535,36.23846503864588,39.515252975451254,43.987131258644865,46.72320709542459,49.029626087259324,50.6880731156061,50.3615895375342,53.48112497353587,52.11995205427724,55.49938908152639,53.37252512107482,47.8256108254059,51.11847031198901,53.16242207449581,48.4855643015427,47.3045071645256,50.7522024369062,48.78156001978915,44.479431192039584,45.38645221649305,42.60695369710805,46.68359320899232,49.42476333313622,48.67600720408882,51.358962065761844,53.532252968139844,51.6218084202734,47.692920904435525,48.78721896212062,49.581212482678026,45.09321525841688,43.60577857196566,45.57507759161366,43.77151181833276,40.34851655056077,44.01083577355809,44.28075283192333,39.71397907281466,40.100976090075875,43.70530499152804,42.585277836674514,46.07765143741216,46.11043390661905,48.97044844077941,46.213233298756755,41.39440656538474,45.24817273318743,45.18658281553535,41.57394450030504,41.0515106214114,45.978456012420274,43.02010022444504,38.3877033122274,41.50555517285503,44.75518344954555,41.32002898766881,37.65073358690911,33.21800119465558,34.53074537077485,29.758527249650506,31.227945247880275,27.21109426526901,30.05077598461704,27.515616760193147,24.41748729607913,27.114856778835897,28.36675624678822,30.736175758495634,34.391811093499264,32.39654855268049,36.41240512447796,33.749887399361675,30.320685037394178,34.56330358175173,34.67432817942061,35.04307490163116,31.58823301918759,29.398442176614545,30.460897843679493,29.454313626664447,24.93729951350332,27.530903273626755,29.557493940701008,32.24948120612664,33.471399630618635,34.60691701929432],[20.173900374070335,21.262092502679813,24.650127930832028,23.139475618939123,29.3170683733253,27.575208002316778,30.563532655450842,33.7393292892645,31.933365657974136,34.00943460095208,35.652408228196244,38.18196432863506,39.35106036098029,36.62586760821911,41.27058432154716,43.52362707955742,42.37191732048682,46.21133228163828,47.78133378291394,51.008766065741476,53.62836445666375,57.58422357614776,57.69129501359873,56.4607995669561,54.318208690743305,50.24417245490016,49.12946088398714,45.63169476218289,46.757178529512586,46.61701931887618,48.546976380200185,48.741510475993046,51.49784026896752,55.25716824229176,53.70117122335319,51.973022113483566,51.571375648447805,52.13554907355855,51.767984849072654,57.52515679460585,53.69539106631162,54.73901598829599,59.1704539271353,58.38648930316204,57.96786647702028,56.74956136204241,59.800839110604585,61.25471385517329,58.53228467416444,62.649035431759046,65.00723161298168,63.34038696587152,65.6400927031666,61.05068559138488,66.59983966432259,68.21269517230226,64.30981665661766,64.97541841184807,69.37496872465853,69.30451374218362,64.62852880679942,65.176577158009,62.991523903457505,64.23719370865565,62.2416093212502,58.8351038818049,54.98139940025407,52.22971038250592,48.64669912966466,46.25787903378156,44.7146916702007,45.85909520246584,48.73895009155116,52.57596494043236,52.68977791998582,58.93933497132661,58.66467897517855,61.406760944144196,61.02723475531285,62.39011209485393,60.75602550571712,60.68818149385762,58.115006380522615,58.94324919568506,55.8487791988523,54.60728947624801,56.29283660773599,56.853022009775486,56.06160875052851,58.60765058773073,55.64728519935553,57.72214482015191,54.05598748695043,52.14202440491772,47.59576907834811,46.81648431580314,42.729074122199826,46.290454789393245,43.96021419103771,45.06875242689224,48.0453217509042,47.20635799632734,49.81333600091999,47.71946190148087,51.02875535108694,46.216671020671065,48.162289573832254,47.11411348732076,42.68467148157949,43.06141849144175,38.24202752083783,39.53653776475738,36.21558611695206,37.10926234461351,37.34040874461022,36.98917102365347,40.318077848897516,40.65994588681507,44.35879226144423,42.84017024049892,39.46167394335391,36.986245425528324,34.449835701516655,33.24578138731931,31.834675382631687,34.25791206087266,33.335558754744355,37.22366437852385,39.644808678529905,44.626172084862375,42.83217853532297,47.00561485397654,48.59828958990664,49.962184111364614,46.153846245100155,42.836970188517405,40.01879831628013,38.84879737330741,37.31652184302282,41.02617974174676,41.969520384665955,46.48257226392723,45.65851811126738,43.85846285059278,47.21681476021723,45.86170776310648,42.83400230595581,42.09670175127901,41.61759460507815,38.38406534951032,39.429089609602016,37.711931341587984,41.032854088011064,38.95938439574971,41.24096407221275,43.11403557074145,42.08233638268269,43.222146557576465,44.38282405543806,44.3601533048308,44.66850644357628,47.52316307565556,45.90345604498077,50.458010359801975,50.501078993230486,47.81319327599234,49.72857438881536,50.99533642226604,47.955523010684786,44.92934967438937,45.35609661488638,44.399458044247915,48.066460647912706,49.44897149255706,50.479140422499725,51.19479611363038,49.66366056838528,54.64738350833436,54.67570003356521,55.32951954810178,54.073546445465055,49.84290904342359,53.764957762372816,56.01893384780896,53.52480209179404,56.84302800921779,55.96761222497389,59.92418867899227,57.23923244437353,58.74956634856615,58.18876250054683,56.11221726541422,54.62545394090356,51.971063927568814,51.22216955605072,49.946431591799794,45.367773487912785,45.81910744904587,42.23674820992019,41.93881083849222,43.491236310761124,43.12302027647498,39.44204761221098,38.37095753388028,40.97124140984389,37.995422051060686,33.44819252277069,36.24643000498296,39.098028728517214,33.12906643273293,31.98657910079448,34.705164692834586,33.475903643643434,28.865951320000573,30.519140138611945,30.394240970503265,34.83028300985824,33.33495015310091,35.906154666238876,38.97928371225364,43.467424130352285,45.86090515045754,48.42833864530791,50.37536501887101,50.33129696518738,53.615836391176444,52.5652782290951,55.918281836567296,53.5528768158426,48.240912301672424,51.75422996214385,53.631825580921216,48.89908914858956,48.00802369388702,51.59376952805358,49.35478206951193,45.0707160364044,46.48262968123921,43.48229038582901,47.846033096072844,50.39875987041586,49.425082224446975,52.26432001961552,54.242010576287484,52.632804793303954,48.658378358094666,49.37913987537953,50.342814633262265,46.02465284776778,44.20195229241141,46.0119476302065,44.279897099917726,40.75876831184265,44.10274100855314,44.32875486453394,39.81220057918678,39.9238843020022,43.37680026927243,42.32888939562364,45.96815964536037,46.323912990561915,49.04692725950872,45.972963240715885,41.440541167550144,45.45609944221411,45.06921659098485,41.42460275587508,41.3107816779092,46.01253500314334,42.743625888625196,38.39529422877958,41.81358158440736,44.71619265666238,41.04299630650059,37.563244669492136,33.23835971930156,34.17229061227196,29.458017894492503,30.60971222210654,27.048987823017512,30.159979416521562,27.909987065655535,24.807381280279092,27.669281152844036,28.772873745727125,31.46055284306732,35.04608263329999,33.5359452522643,37.727143491980534,35.40027189028576,31.51526460722033,35.76897261217545,35.5942647968973,36.46322024371483,33.04229161246095,30.37126767424091,31.542222407966527,31.132163923443564,26.09531929627678,28.61546755463346,30.896384972235573,33.675056853082474,34.820904730300725,35.76248429036167],[16.82376956799318,18.089815343428377,21.554120372222346,20.364036527373354,26.61057483125829,24.499301860761403,27.63463830359828,30.607029651844837,28.923049619482775,31.30643638383837,32.93215372894292,35.230222834710304,36.649124713188115,34.17583144379427,38.771948507741406,40.94055540084566,40.018770413258146,44.00801265374625,45.912632777899006,48.969351234598896,51.79739854960932,55.722188135419565,56.04118413513542,54.964276829091496,52.62634210852484,48.53506635363761,47.19060667584385,43.54803670037891,44.44546233615297,44.042514815791684,46.07779109385635,45.980706946239145,48.707603757945314,52.607477335074975,51.06263491172692,49.52000977747423,48.91265778560543,49.78196881193536,49.51275073468272,55.22275326192577,51.66637578075022,52.73752473957287,57.162212566228995,56.53533360084568,56.33045075651562,55.14906898560106,58.31482770741363,59.575792809939735,56.69457860640033,60.91973466721431,63.102047074620444,61.3118659238323,63.53558512405244,58.87132169046039,64.28661978929077,66.05494368482204,62.18220958720588,62.66999483083536,67.11283136305836,67.25297404962824,62.587861695215906,63.07282764218012,60.81175321130403,62.3041067281455,60.32318203155604,56.76606850874573,53.10854394651984,50.16757897979632,46.81310401284368,44.24791524216567,42.91704614628021,44.23147720006013,46.85807067483933,50.77635219243111,50.578775862963425,56.81480792230303,56.45653998656847,59.04160809554703,58.621051801537575,60.0132076012825,58.19557863889847,58.18097322933543,55.3931329589978,56.31974482817914,53.37818644287431,52.04912905729268,53.89299462647145,54.232424154311,53.681109014095554,56.06293691641913,53.245754193319875,55.406282233926056,51.6586879503511,49.57745722557526,45.009974859459895,44.255167251829505,40.152284821036574,43.45870424914778,40.99461566286492,41.854986094526794,45.000875678247176,43.990838813171116,46.80016105861638,44.6134609596094,48.0539454867168,43.26179617327705,45.14686102113662,44.26675512432155,39.82360616365321,40.02724306533459,35.251014420702255,36.70730880148357,33.368989467462136,34.565239529530615,34.90682955470122,34.847949797027,38.26993017422001,38.933132928557754,42.698141976068364,40.87720409084527,37.619791918201535,34.93884197792768,32.586511892356405,31.087292479778927,29.36135388752699,31.8771245904028,30.573486025240346,34.59489374715475,36.98268181623616,41.94190145866301,40.381907696425564,44.462168440634954,46.231734812662275,47.36154356459034,43.812959112623794,40.47458058720819,37.87855325069481,36.83469798507461,35.470636791469445,39.01849694410926,40.41082307822863,44.944701226296196,43.90576701762408,41.912502139465396,45.15224604581303,43.56826268462761,40.53351930072742,39.5253283985083,38.86166867002457,35.48051633312011,36.29813370577265,34.47315592408022,37.642132532091416,35.48474633674572,37.904784980063305,39.84161005660679,38.977258775286664,40.07795989862221,41.450943428287815,41.4395192325594,42.069744746542206,45.01008390602969,43.69056300361846,48.15693261788595,48.38770422895565,45.994159687650544,47.78414888126633,49.30633930365294,46.22464834639935,43.193709875936705,43.38277303713614,42.33729177918905,45.77704964055867,46.97336905077017,47.868502531150526,48.38210890070095,46.87103676874434,51.74229520559493,51.98149698109379,52.56319174693609,51.545742212796945,47.134483028148274,51.209813601601866,53.601111941131855,51.19847803652422,54.58958209050927,53.76998251650912,57.86393923726355,55.459508207908364,56.83200074543037,56.318062409399296,54.06257091615108,52.6051516376557,49.88117464464796,49.086322103181175,47.85294816393121,43.27604460999537,43.52309348645577,39.88630510508756,39.30017364361529,40.84286629250915,40.22332559004706,36.57580170701454,35.695364800577636,38.13814555666314,34.96449832305176,30.68429579788687,33.464186354986964,36.02992532992732,29.998763606049124,29.028400508998605,31.692978124433335,30.212283213058566,25.709411057411025,27.601328919910426,27.662968494657257,32.09861664447946,31.11219950670663,33.41623705314097,36.42178293779997,41.09161308634073,43.551301751613266,46.12002318936529,47.82261254135346,47.77339685680054,51.005619012121315,49.84810472276895,53.3770846507987,51.14833396875208,45.76225172464867,49.26713693324432,51.400701046121085,46.7326241508744,45.74647101308303,49.43753607650041,47.465065109937555,43.12925123894504,44.43917173810256,41.18090259016649,45.31840083576149,47.83419361061354,46.67578978667736,49.37919343145344,51.21974653707476,49.55828427925074,45.70104720075345,46.3148283675161,47.12344717592334,42.83901347719675,41.079877499900135,42.74384316280556,40.919002915881,37.490602049819145,40.904356761102086,41.004542943064784,36.42911842801393,36.7385218917555,40.26188746903861,39.3397782714889,43.0037491147659,43.35593518411264,46.24017710715418,43.225407925996734,38.65016624028725,42.78310017604656,42.58371099444873,38.9364152606598,38.87005055912127,43.76219287461292,40.666168875421704,36.247855593111325,39.74480984349863,42.848032783829254,39.325870296190445,35.79564369582904,31.316395944758238,32.70571585889765,27.953794923924438,28.76652686458673,24.90917776022463,27.678503288097584,25.07566415108365,22.360158037766073,25.400506901800902,26.894098305110937,29.497997791713605,32.79709867969572,31.02823500842619,35.17947012598927,32.76858150708865,28.575081646415857,32.6614198106382,32.32129400615773,33.13867828154964,29.87355165306999,27.074255378265097,28.064934526363768,27.842536290281846,22.623709237215753,25.03023564513376,27.3314437391498,30.128699370553072,31.26756950303502,32.19431927402027],[18.835564593420713,20.8290600922927,24.361698025825767,23.87413452202058,30.078289282538197,26.95323557545826,30.032878627425028,32.330527653645625,30.312420053711584,33.0038531405544,34.061317656887404,35.99981983664769,38.24129501067393,35.758077363704615,39.948594379732974,42.30936943319639,42.006148768242596,45.926076744895646,48.21207600023711,51.330576269447654,54.26855997559861,58.35930026507465,58.777047586054394,58.01224109012599,55.654113376500106,51.41852623054075,50.06792671902423,46.21871028651063,46.63203449786462,45.86993548753364,47.29351907736768,47.181115092497606,49.454529282215745,53.51834207264638,52.40574431650362,51.2524048791399,50.69319043505794,52.14083931264531,52.245486419380825,58.070573963656315,54.82544474200416,55.55084825698141,60.00266794959597,59.737661932304064,59.77846028879731,58.858345449713354,62.13149843732974,63.08041431100214,60.23461068601848,64.6924018963929,66.62058097098829,64.66059068094776,66.63767721960618,61.87011298967635,67.03642020186436,68.85419546195776,64.91723331024149,65.08442105020325,69.50054479586373,69.92423810219101,65.0764462968942,65.15223731149848,62.60234321864383,64.30240599858932,62.62782713497434,58.948081783614775,55.177624348914634,51.97785059317701,48.68001238221857,45.721668322531826,44.55942884881834,45.59792987975561,48.06119434724274,52.28170573461079,51.917516257726284,57.99010353165613,58.04356316239947,60.29523805643443,60.20358131408797,61.93917014389232,60.111498240936854,60.51653124698757,57.49426301971529,58.84830087442737,56.14684232103153,54.41524168895938,56.18177287673684,56.053129356935074,55.52040568167247,57.31072317886729,54.44322036030005,56.261656611837516,52.36646647274539,50.131079510412334,45.737111357008466,44.54400621912869,40.66862018424607,44.01005475830365,41.62364256104372,42.09836239947218,45.93335522055142,45.09521460353852,48.36269347844979,46.42428087758845,50.37092385948681,45.775744215456236,47.68365058609788,47.252705809328226,42.84437743607223,42.56338409689711,37.92396289696623,39.45885890468347,35.859950879783085,37.48502846782789,37.464897198261525,37.86609736383316,41.078964777149125,42.189951227501155,45.507841021453935,43.233630914466104,40.10866989130723,37.35130821049355,35.629617567807024,34.0326816608807,32.1487730941437,35.234283292947175,33.65571368745592,37.86587021358009,40.306007440991706,45.14550531303943,44.12915662989706,48.06146469055591,50.035361843428355,50.705753241146965,47.554010194355214,44.07733467812566,41.97163371361752,40.819690839958945,39.427560525315364,42.68911963743919,44.38242414545366,48.744340887461576,47.28489980404243,45.26229942977599,48.326306390692714,46.287516292864865,43.39438950371444,41.992086057174056,41.2734729794345,37.51733133530905,38.10043501594521,35.60676049359306,38.372631147138954,35.41207439369051,37.98175838752844,40.483068913594515,40.09707980973486,41.5583415132938,43.15759686077895,43.69863384256298,44.93133745678498,47.65602213495143,46.96715905786433,51.246086957737276,51.98292540859985,50.006458608271714,51.8547124168503,53.68981737442102,50.69531350589109,47.56359124460323,47.52386500651753,46.19109971363541,49.27526908641149,50.11217263507855,50.62393949192774,50.76394471024519,48.96065980289435,53.71121604064372,54.446285016626504,55.09049342466707,54.59488029726022,50.042640910589945,54.48928165478324,57.1151453627802,54.77816195002951,58.04235311349286,57.06330994441092,61.45341573695118,59.36664842429182,60.78354387619107,60.457903223766685,58.01478193257638,56.745738797683266,54.006792977166796,53.22415014376241,52.10932457072534,47.554675481968154,47.554549255769054,43.870681482419656,42.819412931701585,44.28907767689849,43.18844276873989,39.678383334401005,39.12269350407439,41.13462941982512,37.62153665145153,33.97945746562049,36.481260889331516,38.30761452216875,32.32037123865381,31.57803985192721,33.78750433340833,31.810790036022365,27.674692702808272,29.59960106450127,30.311757041518014,34.2682132487997,34.46303875412076,36.54547570149866,39.15520762700407,44.12145684755972,46.252832570467746,49.12124907107894,50.653160764153654,50.84540826414501,54.07119109371361,52.906313082939725,56.72324689735065,54.60985254674094,49.280474744913974,52.83730811706346,55.283901555022226,50.71887715792654,49.719432712030994,53.56525545733582,51.86179192226337,47.50556674112967,48.793436736959016,45.183539755179766,48.97384250201728,51.380124687471145,49.83030281798169,52.2654891844529,53.70322268849496,52.00272103062155,48.469068890902456,48.68502139276753,49.11012663671627,45.027965837663444,43.36361915211472,44.46113921711957,42.36777281856489,39.27321467657581,42.59806435691477,42.18192424516898,37.49625487789825,38.24573162819289,41.74379949183663,41.31835382793576,45.15615487073708,45.779213619106336,48.90215835347046,45.7706959714136,41.42362689022296,45.86069854205919,45.774729670756685,42.142837195502885,42.44303442449982,47.4388477646849,44.40133410033381,40.1455375068366,43.87559838699883,47.0059153251578,43.53423129965745,40.11391200124422,35.58168247473259,37.19258839035854,32.514126640662724,32.69341137322778,28.901966938755354,31.281489564548863,28.258618765728745,26.28975404288766,29.578950076738995,31.46194991456484,34.033441470928814,36.91104697326558,34.87491722428944,38.902920518593206,36.31119678420393,31.63980999389094,35.23135808615097,34.39164809866277,34.921129980684526,32.24961149296584,29.175604979866755,29.36483379759249,29.641334822322147,24.07678650921699,25.561636378458612,27.45677065444097,30.218952488949668,30.94412525690012,31.702138687266],[17.948918399405876,20.20731380275063,23.6544645583034,23.444336601915285,29.423230729251177,25.49788168558684,28.445794015930925,30.18431812052695,28.01817459468738,30.972884938493916,31.675833456829924,33.26171150531522,36.05449328801061,33.750831567189294,37.6260113643241,40.00652368940769,40.18054483785462,44.104726850318954,46.78739379500205,49.79511327577742,52.9013167347288,57.02735195625761,57.637057649571084,57.15321130375996,54.67193930859523,50.3823167621694,48.89664820858891,44.88477207938568,44.88381677145464,43.78282766858168,44.92184820613416,44.63791899742519,46.638869093890534,50.83233831712415,49.95801183494237,49.125543592788105,48.49067013552932,50.412623627589994,50.78928171740944,56.61688188870052,53.728091968339626,54.254311617337855,58.68498147614419,58.730000813773785,59.040584901962916,58.30970245544675,61.69848326307268,62.33857866028431,59.44679714579099,64.0957594402054,65.74864460243114,63.61390833701607,65.38068877171979,60.545721460519566,65.46170329181929,67.36984202851886,63.43750748254359,63.326166763208434,67.72057335434769,68.42326092683007,63.50706458100022,63.32314019247697,60.58989597624471,62.54781757822867,61.051813703424706,57.23401772912843,53.56439495874159,50.13029406556569,47.053500526395446,43.806196930274126,42.8966313744954,43.9204270795498,46.08384128677076,50.46764896428631,49.80137918744001,55.73796189637656,55.937228134760204,57.90704074310407,57.95837369440436,59.883863962300005,57.96475359653618,58.637950577388764,55.40603132821541,57.059517416701254,54.58657059639351,52.57603384557244,54.35561855151392,53.84993680811816,53.45811250446899,54.830439704093905,52.04355947097591,53.73836554310277,49.74665984591508,47.34579281706964,43.06217782550421,41.68350856012691,37.95096192940973,41.120168713647985,38.73172188147353,38.90204956596717,43.13259228679283,42.36559338716049,45.92188271447192,44.158250963225306,48.44737065667486,44.052154563111436,46.01114660352802,45.96344686097099,41.645612513357555,40.938641990159894,36.45141972229862,37.98286362339143,34.23310115277156,36.21331647132427,36.00156026304412,36.831662456556465,39.91712977070029,41.47105460758755,44.532193966072164,41.83889998119252,38.91431944806585,36.027451360400796,34.816235805449104,33.02163611004127,30.922787438291905,34.37196306063371,32.54993993347872,36.8523988708402,39.32738665359899,44.003520990792204,43.52182040651814,47.314276599111324,49.413927101406976,49.641442846621956,46.86657275877743,43.28977291467209,41.689206102970815,40.468730832837544,39.138574316451376,42.07329920514825,44.17731758792291,48.38507166246058,46.553584129102525,44.428565897921196,47.282615550240514,44.86595518998989,42.09361553218928,40.33758891026948,39.528214730670484,35.53336420436105,35.917681125591024,32.9992018919218,35.481622172222956,32.094699969031296,34.711049238636924,37.510896345148595,37.44571333055563,39.10975797728201,40.87814142517443,41.787238613306066,43.499571990038326,46.07381335785136,45.93667191284755,50.00756133780143,51.17077527147855,49.64349612171812,51.47857604331931,53.64856776258348,50.75243574715253,47.547675279888225,47.24317003255065,45.6526075022187,48.35906128114363,48.86381764321646,49.05645995196814,48.8878308083299,46.90765642863561,51.513194418678786,52.62474559257768,53.29410839614203,53.23175615701037,48.584578398792814,53.319520400547816,56.14044025901282,53.87932356691413,57.02981583237144,55.95865242397225,60.58290449372788,58.86185998945449,60.250335537079145,60.1029473914262,57.46260418770008,56.391884172945616,53.65987256798057,52.91779756138664,51.98329545758907,47.4785686607019,47.291303944395295,43.66721042072755,42.14539543917293,43.71010834977049,42.16208035545259,38.73061992862188,38.638373480072914,40.38078348372413,36.53625519372318,33.51459993994957,35.97270660185183,37.191823811059024,31.232188035402274,30.900062218906037,32.90483793543293,30.40496626716312,26.69866518004121,29.004820319468593,30.092896230973096,33.86105574082334,34.92614347251911,36.55237888994082,38.972883435951836,44.13854608814807,46.295234803746034,49.155252182271376,50.28533391704873,50.46328075309277,53.548127305924766,52.17769215899979,56.24623057316443,54.40470652436917,48.99681521122342,52.44960973224851,55.28273544547404,50.87304596202375,49.69184197424812,53.60113136189652,52.336759358040744,47.967431151155466,48.96574044716811,45.12410147911838,48.426433341169734,50.80093820621177,49.02687457797191,51.14109253406609,52.345034912316535,50.47260238319656,47.24239292961613,47.330333888679675,47.36566750000008,43.38061193479139,41.975556268575566,42.72734754876168,40.412221952122906,37.64704678930091,41.0832751002023,40.32865584745719,35.572225990078294,36.827716598994755,40.39374968953358,40.28567638224974,44.114666819969685,44.71824695672277,48.10839677138192,45.137656567264656,40.796200355537735,45.3444677652704,45.59221083850813,42.02342939091635,42.35671559095869,47.575759466593546,44.85365080044364,40.55895369783739,44.28389477649686,47.675805118914774,44.46745727475603,41.02661611409929,36.39031584161601,38.536061794661116,33.918764983979315,33.71785654218931,29.65367162569232,31.441264031782353,27.919897262922408,26.662226679159428,30.03235733689949,32.372856594261776,34.699919790896615,37.14908849013132,34.65118790134148,38.44873759126022,35.627819000660516,30.7476657106893,33.868945180181036,32.766991973467555,32.88437620151483,30.69686598490734,27.63676548744448,27.176458124950976,27.64302959731525,22.10037691259129,22.91748259889468,24.436823851062403,27.112013317120592,27.61732936790415,28.348962672410753],[21.104689442324915,23.646090042459214,27.06228731343499,27.608235676325684,33.6760040810514,30.15976124923548,33.37886400902449,35.14017171564895,33.235438249897896,36.30872918737252,37.05948700198292,38.53854020007315,41.39340317069089,39.16114779058992,43.037153892984904,45.39391275974631,45.56276709625749,49.5096197283061,52.14679373750936,55.16011721720634,58.247347229593316,62.357321933152704,62.93073040910262,62.367294073977924,59.91155819362865,55.64479686153211,54.16342934441618,50.1825226705415,50.2452715416279,49.12654565956909,50.324414832364894,49.955583131083245,51.92771261279205,56.166964482156516,55.30731311188044,54.510936082547644,53.79435196268524,55.73156135814028,56.04044576542136,61.806785346232374,58.89847530018177,59.54096848704819,63.96886998460987,63.92171402971752,64.17334545179337,63.334201776240086,66.68922490995699,67.43663582212923,64.48966974081999,69.03044647715166,70.77414486738294,68.71355698303582,70.56418873825685,65.7302440875321,70.67679855404974,72.63985267108636,68.72406513660037,68.63540916993139,73.05680658233639,73.7434101230882,68.85980747464025,68.71863505390175,65.99749392479472,67.94371668358954,66.42953724392441,62.62507386688329,58.94684799724073,55.53943322285769,52.42741410673987,49.20431394279111,48.25107512868422,49.20583749779148,51.43736044029675,55.82739137070223,55.20564222117062,61.126537722762095,61.351612525786,63.300789963279385,63.35064372879068,65.25764327381678,63.27887665188088,63.8887697393779,60.578984668815956,62.1539273153848,59.70593201576782,57.793406493805286,59.67148944848907,59.155499685534515,58.846485951090855,60.197518486251994,57.439489290742685,59.10426714193444,55.10178748916649,52.67346755091498,48.4220217593665,46.99114554997042,43.30815663945302,46.401057343627855,43.96044239422619,43.887649364963174,48.27393915356371,47.272279845633484,50.986732602578996,48.9911917125255,53.18024141748976,48.69382502269046,50.3815355748638,50.21541814455565,45.827295175959634,45.316056941581145,40.88285263731155,42.741048758400794,39.181684170663374,41.2254877768854,41.23303000851744,41.991899047286964,45.16929802850935,46.60121121345732,49.780855996048494,47.18787066998258,44.2206994426052,41.35276130480013,39.97830470035622,38.18722867648658,36.04528594872273,39.24268363919489,37.1705750699253,41.474011522189066,43.75932273195215,48.500851056607075,47.71496257784611,51.41087053058266,53.67951061073381,54.09250498176126,51.34352278660795,47.93374203535652,46.032651011001974,45.10768424322145,43.89548550219087,46.97082238404794,49.015741925381576,53.33459973559262,51.6667639110949,49.522795465776895,52.42847445976349,50.104092948622785,47.27708868098327,45.533125067013344,44.59964145085154,40.62655316349059,40.77872245360106,37.94643248681976,40.17708823885692,36.665542476520386,39.55433112751831,42.43390147204898,42.54276985428488,44.05709035034629,46.02189888960493,46.71645382757437,48.47705450901569,51.22881186040049,50.970726882263335,55.08969262126666,56.06295552986473,54.38278559612792,56.07847934928149,58.11015154483276,55.05459972121983,51.993577690234126,51.73718123422735,50.3739526982062,53.178901335239175,53.76998197758221,54.06694498702185,53.86585316137433,52.045009882096046,56.552328964963586,57.68820698383271,58.23297203531555,58.13068458843983,53.34811562948944,57.95233608995329,60.732754585460036,58.55846510538693,61.90718314365815,60.99109514631021,65.51351804520493,63.72074867110866,64.99130951846428,64.6853150601316,62.078041065561855,60.786335964460626,57.956325223111584,57.05778266773278,55.877932897456574,51.394609291484045,51.060517552738524,47.23963596551825,45.94933803002634,47.08367845844251,45.715874131477186,42.46223530741437,41.89450875391837,43.43022981237019,39.84164196966083,36.66632271457751,38.690994214287485,39.942483866283986,34.20902635079306,33.43635301983544,35.106531480526854,32.98892866212209,29.179429073045554,30.747960160899368,31.9955229614169,35.325002827231664,36.471880838742955,38.49634761721946,40.644042771269156,45.76480017800592,47.422409187174566,50.63479845399755,52.18357282843265,52.720271687389825,56.00819680139883,55.04316557251552,59.021426159707566,56.868184355480665,51.77385329462401,55.47203465895642,58.03276578245117,53.54975874360306,52.723601962676206,56.739818709053715,55.09453162444317,50.76864069348273,52.3337741505911,48.35936227576533,52.04610899028713,54.227750493376334,52.26263728458786,54.58529927019982,55.58920907893179,54.08675414381459,50.78753247253351,50.46779825087757,50.73317914471828,46.9680339473061,45.16519505951466,45.73815232053786,43.54213855000209,40.67056033742496,43.65401964003197,42.84558463284264,38.21322065962245,39.07173713971918,42.3831967369074,42.37662019584845,46.37216983866169,47.38988385627126,50.55885777721604,47.18682936291374,43.24821342102079,47.94255875174347,47.74648959840408,44.15852348120427,44.96496455362495,49.84665846586044,46.71903980144876,42.79867445873626,46.82585478304805,49.75413997689499,46.23617829964584,43.04085938453102,38.588539386083944,40.16311172476566,35.64800751611073,35.182216325066946,31.75281003944415,33.9393876912671,30.87733315315526,29.46183550881533,32.926129832790146,34.96666950886098,37.645648507915425,40.13817602456046,38.244634243047614,42.23871656367108,39.78947625769373,34.60377912771305,37.79993689224366,36.45215506140638,37.13657870444273,34.939500229737135,31.449323875317496,31.19478707499234,32.21447296484868,26.280188975150516,27.051866782968936,28.78955631758471,31.46793955369488,31.837153814232817,32.30278055180692],[17.484359969194983,20.23033989574048,23.457955098709377,25.05972999603451,30.943963476183683,27.79441294745525,31.402980604321066,33.10822612435815,31.881306989555874,35.3547914199652,36.424002609757856,37.59343092059753,40.39887001424249,38.702262707713906,42.68091398362182,44.72269845085862,44.88190343186341,49.077802175319,51.931651679865425,54.60263651123203,57.90492955168106,61.79784419773239,62.61075619906813,62.006525771509466,59.30412931597179,55.17794193175434,53.352706129463314,49.355201648523625,49.4118072786421,48.086997964919284,49.90649092709019,48.97910185415393,51.17139822200465,55.551079865146896,54.426250805605335,53.71479474294639,52.553942110054614,54.60578694440851,54.771670144353266,60.25711868803687,57.60647803301175,58.62069736323371,62.971474808041705,62.84092295168018,63.21893578453364,62.22944112664049,65.56178807082851,66.26925711912209,63.106794893257394,67.5276705186826,69.23237908487835,67.14045372291483,69.09833352093933,64.21206838112246,69.13328723056826,71.33182279186752,67.50943839945418,67.38727306486582,71.90883028170914,72.72896693871424,68.06425235522335,68.15975833803091,65.54987668232046,67.73167090822201,66.01281070034126,62.0907449936107,58.84286263326315,55.35473236532024,52.57269080646826,49.38394207519373,48.63818616071512,49.982655643403994,51.957773130040316,56.22953064004644,55.26339748939914,61.22967447051418,61.036783310957816,62.93350608442351,62.674574630066225,64.3533649792421,62.03946863640881,62.38239676995165,58.83872531022741,60.20829992780193,57.90037889949082,56.21260912842267,58.473933444925265,57.90540779777938,58.063677461962726,59.52577818625052,57.0882115936846,59.11333591242517,55.09151743594372,52.47237632319874,48.117510973456504,46.99968102033998,43.20707147930471,45.736153426938955,42.980153797015255,42.501155809487116,46.84101888070351,45.22147684527209,49.100336421445725,46.59836691999916,50.547670721546474,45.96560736819078,47.260700403676196,47.001065769628205,42.592065036861015,42.26294933391817,37.96159886921654,40.306278752169426,37.12649561027182,39.44304579661713,40.03753646451586,40.92669093770425,44.372673374233635,45.89716411262464,49.502781148899246,46.85051713349074,44.007574461595695,40.94122230544768,39.38789151677388,37.25085136398843,34.71480227025172,37.4247735293239,34.69699544988389,39.00502284030973,40.971936757677305,45.681721845212266,44.71049222985427,48.17009726099708,50.70952849027429,51.1767708031019,48.688834734811834,45.556566955338916,43.51462436115214,43.13333556068751,42.33217519791474,45.36456259657124,47.83392683594571,52.30112937461183,50.7330139823843,48.32759348022843,51.145757431395964,48.85686942656586,45.93302346394127,44.02989147189348,42.726273734151825,38.822152720185215,38.490525532069526,35.98272921733899,37.910693192593044,34.64891055197029,37.93371020920795,40.62761929183611,40.892400888597656,41.965821178300416,44.31272865710815,44.48193894493898,46.436927974694626,49.573163110264495,49.31240167277637,53.38152666013874,54.13488143341395,52.59294075998208,53.87311219197448,55.951097155421564,52.69527582130437,49.885296273426015,49.4389038177122,48.33938513790197,51.02744916713544,51.60637688588498,52.00978848468336,51.68126331017225,50.24681676616867,54.5026830680661,55.679397818807686,55.939449351215615,55.857570379770884,50.825180637421404,55.263990297881215,58.04232252555066,56.08368476676739,59.770535260148364,59.18978982171575,63.60603678581549,62.0152506318245,62.90933753483907,62.4323251637444,59.71398870267639,58.16274635697011,55.19125982624347,54.099513561126344,52.714353382739134,48.30951344205249,47.67752384933539,43.71445079829152,42.45466888973256,43.1982839365243,41.87403059701088,38.840248207155554,37.99766028150666,39.27006759894497,35.84909961459489,32.762097973708066,34.421677972388615,35.57093456596346,30.061809834151305,29.095387178860154,30.53489112267643,28.6207334520453,24.857616222691448,26.109333208854007,27.490058205082843,30.531818538876525,31.966005535763998,33.96172642267685,35.91188486881377,41.03292185375648,42.52332848003251,45.83315209922225,47.42485963897355,48.107970326042896,51.447904378130744,50.67907356026305,54.64426952967791,52.39176949666717,47.50294058679501,51.31175721150531,53.8137931649368,49.383408144902944,48.74353102261215,52.87232829253337,51.16671340493493,46.89116418495829,48.78566961864648,44.5710187939729,48.354572242930246,50.335380429650066,48.16324669132282,50.572521693109955,51.40781813664073,50.18529207452886,46.86984982109523,46.23835180311986,46.68150080906154,43.09356429759842,41.00482280431762,41.488831933613945,39.42009418103223,36.45772883337726,39.166689874179774,38.405169709313896,33.88292268547729,34.47480129329391,37.661920168262995,37.672060670600814,41.70769811488999,42.914281863698506,45.97553186157624,42.465132581217404,38.74335936861452,43.50880524725906,43.16860802383209,39.61610051316135,40.70327973865605,45.43711151296316,42.25569754597817,38.55840834754302,42.747146340665665,45.4963022306306,41.99637376478708,38.96473657303224,34.61924842804717,36.21396108137274,31.868947915131,30.973106702002568,27.793756922410992,29.866417776604944,26.991377824147204,25.866750714421322,29.376850323596226,31.439742086306232,34.20305471638737,36.39427565564837,34.8449461448804,38.87419283221317,36.80871760568608,31.230092702046225,34.33402970474427,32.750521407865406,34.01523832939345,31.840033568268762,27.944051380715244,27.939714389224925,29.580930530289244,23.336464769795292,24.20003041242831,26.416092115829947,29.227578892360107,29.721766797671172,30.010669618626252],[18.378903249875872,20.994421135205535,24.215255896473384,25.732003779822804,31.736561905762855,29.136498178071726,32.85869180934755,34.90513171785218,33.781120260510065,37.12805148368001,38.417250710238555,39.796243699460376,42.286494725636565,40.49270925608574,44.680794048446465,46.70917679929043,46.581302444090035,50.80315780064829,53.437128485269305,56.16239016476886,59.376254352507104,63.24190911015318,63.950192411194074,63.17421366691597,60.522906468795426,56.42941913341567,54.67170134362763,50.77133909783303,51.07808365763142,49.94264293175485,51.9576874706207,51.11022891356883,53.47471346211876,57.79854118244918,56.519535010421414,55.61914697135374,54.48063144008726,56.25721602049388,56.23954287349898,61.71815940543454,58.85760019213576,60.020537416345256,64.38194727645727,64.07203568757018,64.25055202604773,63.05918731213199,66.39082909346158,67.37866918040109,64.1525810811316,68.46877919705192,70.32755228750446,68.30593466074158,70.39172326750386,65.63006965062101,70.66251307371688,72.82686295593244,69.07992217588195,69.12653715485571,73.63363186499222,74.28897671059937,69.67506314678192,69.9315333412079,67.43275362695042,69.4698571460107,67.63259324068784,63.776511898669035,60.47543686765314,57.11917144484826,54.214310882533596,51.18614703443032,50.29504220843582,51.6644486638128,53.80995587672569,58.00391667962884,57.199731732989214,63.25828868688485,62.96638693740586,65.03348434945578,64.67776898955319,66.24032459893576,63.9525145373729,64.1169392478326,60.676714796972846,61.83964968820242,59.39873322303954,57.90755338737195,60.1878339598423,59.84478505040003,59.938818516914694,61.65998656735421,59.18107672922693,61.289521146239814,57.30885094242577,54.77503982981012,50.34205730458677,49.32732156021137,45.43234745438316,48.06607378406522,45.29528166393084,44.982140753377486,49.10224551058431,47.40841066335447,51.12716276483065,48.47838586444186,52.21519224648737,47.46777495773143,48.692423267803505,48.17798591640413,43.699980942219106,43.65203947571026,39.27933921937918,41.67423958622008,38.61193242334541,40.73432791099991,41.47730488446098,42.11182409663152,45.66742197596571,46.93810295473625,50.728290326501295,48.317174877737045,45.353061602337064,42.33965400861344,40.468983393289946,38.4237675795963,35.99228206476251,38.450002477403174,35.82192560644303,40.06672914557721,41.984847001233,46.8125653824714,45.45164505468831,48.980986018367325,51.47878356310246,52.250120416236385,49.542470316929496,46.49786722866671,44.093426239389764,43.82824009016658,43.035065820705334,46.271809877914954,48.50959933370654,53.08354377058634,51.76513194693543,49.40440895517177,52.351533767910425,50.29841993435052,47.290513867163284,45.58177192617691,44.3085451206476,40.544924695415624,40.31279197294859,38.06589044085071,40.15925575493449,37.186869062088036,40.45333746335884,42.96285560595789,43.04149498125236,43.968484357651356,46.238887228748375,46.1519397970251,47.82147374416192,51.08850605466475,50.48161970094009,54.681895293204576,55.165159499745066,53.325597932556995,54.58368192586407,56.44849753303065,53.09267465468824,50.354580904315924,50.06304990314043,49.16124264706435,52.08767477147422,52.87521303666082,53.49133029057827,53.34846000700489,52.04627574506469,56.38431112206797,57.333933963111384,57.55725606060682,57.206964854843235,52.190288647067106,56.43081857936848,59.08696192327194,57.10215084862145,60.89636680138541,60.40960565849467,64.65457837906379,62.837500695338115,63.72402378180656,63.098048890407334,60.49958601332554,58.79948875601159,55.803309836293856,54.63661175727087,53.09159276285384,48.68107996436378,48.12919037015153,44.08293593288635,43.16329672252397,43.767969268981105,42.76895417072413,39.71281738270809,38.49172922932078,39.90880640506499,36.75288485110975,33.23545757186024,34.851918103564714,36.426739949396456,30.939059672401193,29.62324316549299,31.163263443988864,29.686240796300293,25.603049027569377,26.452746506468536,27.562181390931123,30.703500151477296,31.522127435095875,33.905672672099605,35.94444323759556,40.911648369055335,42.32965039835108,45.66389757743453,47.60471105276898,48.35883809458925,51.82579859123134,51.25883978952212,55.040068604018806,52.559559845467305,47.76532156553316,51.68720897252869,53.89807569072173,49.346896498531855,48.887193126498175,52.981402013996515,50.94684238811571,46.695617180669466,48.875174412547516,44.78283867726792,48.94829593292153,50.90356035427622,48.8490094139587,51.50349551105318,52.4670892848611,51.41123005575987,47.888396990659395,47.29299980614913,48.02821647765638,44.40599571259461,42.0962920534026,42.80019585484167,40.905794569133896,37.70618523878127,40.277616084577076,39.75932890358899,35.31576725326556,35.49259232441646,38.592953439054355,38.380639030383904,42.432644303243144,43.70601760269582,46.54648904990006,42.86736571867997,39.209481429381476,43.91172029297595,43.27249338301559,39.67717037985472,40.822885766166785,45.34204873882367,41.88133515111148,38.2842281065541,42.532626952694116,45.02964749755139,41.29772311818071,38.32732927600634,34.088929630723015,35.221080332407496,30.873628172371596,30.142468649706668,27.292287327422088,29.82038862838712,27.365287451187367,25.76407456401999,29.229063966548104,30.957155573856152,33.931503654674884,36.38037463184832,35.24350712503179,39.44583648298483,37.588820340413044,32.11858163341202,35.527304418004256,34.09509833012027,35.69959041747635,33.20516342648035,29.264912367922427,29.703350507151658,31.253887197797575,24.958596431069076,26.283818618723572,28.73274955939969,31.50548689840309,32.137437183049244,32.436911865304594],[17.978570881301394,20.340329650732482,23.42380743552874,25.155414211965933,31.09259339212353,29.226249952356383,33.11727555627769,35.47409762597364,34.70646188689329,38.0069271925043,39.6237964327258,41.09733931149192,43.20297640129703,41.524822897597225,45.92193052878754,47.80056643310224,47.370831516682685,51.67195066898235,54.14243651768569,56.77350721487516,59.961363132790574,63.693603910926946,64.38352579586025,63.41865564186456,60.7451582706281,56.76734758876806,54.95379067563394,51.17124696748172,51.73192306226859,50.73163354152087,53.17003214536261,52.213395471037096,54.833367782120675,59.11544569394575,57.57690266427509,56.50663316244376,55.24162577297775,56.751089718089034,56.496304234214506,61.83080518072926,58.86287329528499,60.307787580324366,64.6306864808623,64.09102443216648,64.14773785506071,62.75484355977477,66.00999422461814,67.19119169287042,63.88690781113756,68.00729627337584,70.01680624550562,68.10860656931861,70.3684061597296,65.66225059554617,70.81974688651394,73.02325340768799,69.33865200829065,69.5496883857533,74.0933134069355,74.62044001651478,70.15739085918767,70.68146542319442,68.35465953218934,70.32176559092954,68.28734002784238,64.47994360762061,61.31225495168698,58.080559160454484,55.194948894395104,52.369373304674745,51.41871757764006,52.96300520805495,55.16631966827457,59.19750981718596,58.43265689531733,64.57584598133629,64.01638054115034,66.23730835135923,65.66128461191236,67.00188232844911,64.64027741045604,64.51649531743941,61.1331406530817,62.00770384741751,59.4831512893443,58.276544995443146,60.69664440210731,60.58000029424503,60.773418502008845,62.806832983421565,60.41475611892749,62.74528372291716,58.82834500252892,56.33116235040753,51.79947529320198,51.03133012825389,47.01316753083347,49.52985246726259,46.65377210304498,46.403566711218154,50.21244577976849,48.25346759937711,51.810879349368044,48.868095221595425,52.2543866738713,47.361368993092015,48.39258733548171,47.57534312900283,43.062786411194416,43.38475463706295,39.00448037973539,41.56683380299543,38.78781398350684,40.77016723718168,41.86815710429174,42.287125321026025,46.00772864350843,47.04160472326615,51.14708056686993,48.979131842156605,45.96941060454143,42.97026147818632,40.73711667887618,38.68045791020513,36.24287916701833,38.236351831657615,35.52623298671298,39.65350419553235,41.39390470727715,46.27788878365175,44.48337800043645,47.98223977245155,50.49079777640114,51.58434866766679,48.74835064368385,45.91265560162545,43.13069898968053,43.161252816485536,42.52578887959449,45.91536956270227,48.06550505602546,52.76888867556081,51.73753594192816,49.34069068079149,52.36250824405217,50.57652709699891,47.472253204369046,45.93287764262416,44.579005657206146,41.03058939036546,40.75212940169562,38.931100109926255,41.102715324657524,38.55186086954423,41.88030753694549,44.09446824071668,44.006736437718466,44.62812879504452,46.9108799708152,46.37737519622232,47.7918098247009,51.29403978105302,50.333809751927,54.62043981696786,54.7339116758481,52.666176530893146,53.74722879954633,55.40344514833982,51.90981353405155,49.35196078961316,49.15126794226961,48.54202940141551,51.64380625215823,52.63975143658282,53.50774275458231,53.52156728218463,52.49872561462885,56.813861037001054,57.51995501156177,57.6113995728585,56.97986471431126,51.95093687626305,55.90313982312986,58.412463872823544,56.477914385587205,60.47070529742047,60.19268029578248,64.21471881423278,62.253333301108434,62.98971333839432,62.16945099861622,59.67158261470851,57.73473632474523,54.68856108418694,53.41343608233015,51.66463665886834,47.28853158410972,46.73748038721983,42.61825440186894,42.0561067272805,42.42649726741366,41.78335927952642,38.78558534734212,37.12693991619957,38.629609734596094,35.82425418907808,31.921379999982108,33.40337244525646,35.40075771913964,30.053871504458968,28.368128576131603,29.973110710597474,29.02164213404674,24.698016005577543,25.09952238887111,25.906051344053825,29.060726765414874,29.240427491907727,31.957021843713108,34.06018333510497,38.824513384246195,40.18001244967217,43.51648703219974,45.76203761804367,46.566500102117296,50.13900887381271,49.79675216211691,53.36234489827036,50.657095516975076,46.02278954188253,50.04069285221938,51.93413148851723,47.31226940954192,47.06530431546777,51.13336782207797,48.770982858736495,44.57543102957513,47.095315155175406,43.093583266814825,47.62309943777226,49.50667895465027,47.55080237235401,50.459264635527575,51.5345087467198,50.710191301848326,46.97980106821684,46.38319987336392,47.469134985217764,43.859616413394775,41.281859969597825,42.22782978784091,40.569004117253236,37.11851811367466,39.49621681032901,39.284880119436416,34.99063613016304,34.67544092650869,37.65188948429297,37.17299711921355,41.194908771154786,42.52200815136032,45.095896702785254,41.281059255714325,37.71941491147984,42.31489007784799,41.37313272329393,37.77065898037905,38.98826266944135,43.24648314139483,39.54531711018078,36.09624853221952,40.38957690307129,42.5982554885549,38.69327550115786,35.82854829478718,31.7533471170367,32.46516576930617,28.19166417598694,27.54807015900264,25.091441854095486,28.001398300696707,26.06917844179512,24.088120876231784,27.445342832320996,28.809955004566568,31.97671682087129,34.568841157937655,33.94366783598825,38.27462651566334,36.76516548613193,31.364073839709445,35.02024805521739,33.72178090331748,35.801398930848855,33.00742654159228,28.989518536459894,29.979343777818507,31.565478439971784,25.292756651381236,27.085709156581682,29.881047226092466,32.696480033053426,33.52217230151226,33.8010171374835],[16.18778362105665,18.211248871707117,21.546371008533207,22.20842798709311,28.350634778900844,26.32538937562073,29.986832821032344,32.57665047647707,31.475821777628543,34.48654973775173,36.11959296858339,37.88551715642775,39.75767700006172,37.8100776384987,42.29198093729274,44.270227591484115,43.67422041446109,47.884146823562304,50.181624530571916,52.95317077289524,56.03146833116431,59.83437644206525,60.408381989291755,59.414975139252675,56.845516527215075,52.82221302692175,51.15470465597769,47.40395520835019,48.0698107952365,47.26747515782273,49.579353225146164,48.91452318996014,51.586329221517495,55.74224121483997,54.19289033144511,52.955447012166495,51.91608643862702,53.210914146202896,52.95995611488345,58.44105504843671,55.27189147498679,56.58021972685267,60.94520177942951,60.387167736535005,60.37266181584277,59.07001094101666,62.30187704288918,63.48287480999115,60.32441911695791,64.497653516189,66.55795228738758,64.68867191427086,66.92939685666376,62.21764818536538,67.47160314493968,69.52545060277444,65.759846163729,66.06050528848522,70.57822631939749,70.976199708038,66.43397835760699,66.94126174641198,64.63257666371298,66.44629158467069,64.42835563989428,60.69859701834769,57.368143613795695,54.224289749818574,51.18798640221611,48.4426101653635,47.374369946216675,48.860245920572154,51.19315507550264,55.18768222178737,54.60040325020533,60.786333746274664,60.28564295072132,62.6354595875776,62.10822777292703,63.46823417354798,61.29532410530399,61.216158358616084,58.0390806088127,58.9451933865228,56.26741055994789,55.00200944776927,57.22123221970966,57.2610878525579,57.194646136572175,59.354260923687555,56.813200743225046,59.098499796318215,55.23521471441683,52.87634692623441,48.316182649504825,47.56372312762261,43.49878703518574,46.28961067649185,43.54521046302314,43.70522098680825,47.27570219911657,45.661340342493176,48.95362181517076,46.28756802128404,49.719498861447754,44.85030497415795,46.226058885290605,45.39877046043478,40.88914705331839,41.14542430669697,36.581447341213355,38.74030561819093,35.728322924471485,37.45384144420081,38.28802638565718,38.563492477251934,42.19347857931923,43.12713713785485,47.12409128407545,45.048962879182646,41.95868855668721,39.0477952047378,36.784612309355516,34.88930706128789,32.66536508814301,34.86992821071955,32.63464468527105,36.761932755383675,38.7623631186899,43.69841233045966,42.020895627601064,45.760047567558935,48.000096072256284,49.08255074329195,45.98189740150198,42.93421303897924,40.24373929246082,39.872150579791,38.977701953195925,42.41690806124182,44.34152664210993,48.989903539958846,47.92910296840194,45.65711809073482,48.752887597054944,47.0155421134346,43.92867273377895,42.558344477168866,41.44298551409183,37.929294103439844,38.050024107411616,36.210852418060774,38.77836200610186,36.36740835359761,39.37242378560658,41.48742133441499,41.107055899487726,41.91017783535063,43.86872407996797,43.53408874786646,44.6816004681989,47.98665250857831,46.91871028662493,51.27415357112334,51.4534440886429,49.2904714452181,50.636846795290566,52.277144783378944,48.93439859726364,46.18161570745587,46.102661448959864,45.30938997850091,48.523339575668956,49.57926351779463,50.44528140461984,50.63452288715875,49.42086379151236,53.954757004959056,54.497953643431536,54.77657776950733,54.015314044922604,49.198435762105184,53.229987849505356,55.71500725361892,53.59866450304149,57.36952484182962,56.88374937388622,60.95810499372876,58.853610072738434,59.82543660486868,59.134622966146445,56.70456005920405,54.95981436819435,52.026640835455346,50.93886926256261,49.400511345514374,44.922926856851774,44.66923936959897,40.721086488787954,40.105326830486774,40.967423303216584,40.29533587043685,37.00793232579188,35.689095843384244,37.58336248804635,34.5681512543978,30.50067845638365,32.5547486032046,34.78032599809482,29.06283519403611,27.690923361353423,29.784201978584477,28.545592295577,24.08115680094403,25.207760531848727,25.717248376519404,29.507756560176322,29.23608190937884,31.75616896298626,34.27824372664966,39.06786319125903,40.94498773580106,43.9521525286424,45.929271755738725,46.35637752948663,49.788458882325905,49.07217598050935,52.66341244007272,50.17387952780993,45.178427345014484,48.993342862739055,51.03642937803181,46.382334947342414,45.80261219987644,49.74745728291038,47.578552206708224,43.29142968322565,45.29919486710267,41.54923663182793,45.906055423019666,48.06155001792357,46.41037789524202,49.22661939278844,50.61739215766237,49.42443164934082,45.6354468149362,45.541317162252,46.494417887484104,42.578010201297865,40.341767449489495,41.58853447847713,39.834206694290735,36.37527797762239,39.23934806265577,39.15009591515723,34.684352825795244,34.67166474439041,37.93293567053882,37.26615091591955,41.16132669760986,42.06342430914004,44.8131790651402,41.340110669854546,37.2928742225888,41.73623105219184,41.14362993159269,37.4942675186755,38.1637289100552,42.75823804281357,39.32588718045266,35.40993351957152,39.403383463137224,42.04646604959045,38.30700694283523,35.11869865830423,30.80187277420095,31.89162107937713,27.348919818432254,27.287127835028326,24.11800398781458,26.961675226721606,24.65399339581916,22.382484732838144,25.697700145359036,27.19626943858611,30.154556585113856,33.02662538638708,31.882349259971214,36.17145579987334,34.27469007740189,29.26571351987948,33.116471916155994,32.18335726222123,33.75450326879927,30.760167480717993,27.173571205531477,28.160112226954606,29.057303522808475,23.08690879347326,25.152284627403365,27.79607305552792,30.64415147566633,31.60760717655987,32.16425818151485],[16.415582697266696,17.81818803043912,20.886165130253634,21.40128661518433,27.370638380181173,26.430539197725803,30.16525875489705,33.22178560867875,32.51250430405643,35.30541132384429,37.358668933061125,39.321850289472046,40.57882044982116,38.71567093630631,43.45089959849468,45.24440717060131,44.18576461387719,48.42852772052686,50.41321031366325,53.09102586680721,56.0674915044083,59.692037178830994,60.18893034871467,58.923952268649515,56.38028963329836,52.52478887263727,50.85195208358647,47.31027152645342,48.366204546098544,47.83023635578375,50.64410588743491,49.94244877281656,52.946572137027275,56.97420519458089,55.09057158429637,53.57432105699259,52.453191430372044,53.29405270124435,52.714936473363196,58.01944589435676,54.63493900193672,56.28023716656614,60.58516514815692,59.70107409384771,59.475761024834284,57.917958397728015,61.0220307801511,62.488631197385715,59.28735579476276,63.19351746902431,65.4817032140514,63.78282991487798,66.25151409829792,61.64848030698215,67.08456033697595,69.1244884982517,65.4436475716513,66.00646787208629,70.53965502021606,70.70985387837126,66.36260351179357,67.22368283811734,65.16542691245617,66.81596481882427,64.54694956150458,60.932327620978384,57.73599029174325,54.817155788826476,51.76848138724845,49.35067953530221,48.16397353974849,49.84238334573934,52.28713876161295,56.02526955675831,55.56341668037009,61.83916399830572,61.00909876596848,63.59883550804012,62.799617216496266,63.86218208736663,61.66962993233127,61.21523211888289,58.20655472669952,58.718989310029286,55.88288854157656,55.001435893987754,57.32530709932976,57.7313923586527,57.703908197381864,60.31414979608639,57.84931627158587,60.394463725123956,56.657045108909266,54.41030806129432,49.74957391648097,49.32455430861792,45.12680206789486,47.83057675794967,45.020293547681156,45.387805720887044,48.44703900322702,46.610803166055305,49.5715276722015,46.62401237079343,49.564772150378445,44.536675535389236,45.75225033427629,44.498147544647836,39.97995469580529,40.73364139079338,36.14835749488551,38.37129589584996,35.715735672369405,37.11947525256516,38.34889929699051,38.25316782892653,42.04372489757352,42.582777154060864,46.952246147082484,45.27707121380182,42.12074153319149,39.30050802965391,36.53407737231741,34.718306115696286,32.60880305729205,34.18053969046267,32.047085933220096,35.94362329386809,37.763822897984035,42.75882604800274,40.496177641857756,44.261303381346714,46.39655859847833,47.94198466530864,44.56860778377104,41.76706319211329,38.561139664189824,38.47305380020938,37.713867373549135,41.37894021951914,43.05505764293404,47.839689455891715,47.19829345781938,44.945677823851504,48.156800084220066,46.83502119336103,43.6456647577602,42.59289489466142,41.465077186937044,38.30584784720187,38.50093895243317,37.25295919420873,40.01158320252406,38.21974160787624,41.16782773107006,42.850086173630324,42.163477881126184,42.6084146764248,44.45342180042427,43.578658665999704,44.25765184591099,47.79424023923349,46.186940927690294,50.663514985431966,50.337051091711054,47.80760058992892,48.99180085537373,50.301413106809214,46.82689783363866,44.2788969785588,44.39250520454021,43.9688495331987,47.46867821649431,48.84223729894541,50.06067615166441,50.53268232719383,49.64406092517107,54.193196064786356,54.34013978349331,54.502406503040284,53.30265510067595,48.57480538956677,52.19889379095911,54.45107314716154,52.34669878223935,56.2990995579341,56.03353076191314,59.78893230866163,57.42481419204251,58.27286903493775,57.34831387121894,55.09803231484037,53.09349157615605,50.14374234051631,48.97072395737639,47.216790236269816,42.77491283424186,42.64899833006195,38.68091329748384,38.592461220666344,39.291975934796476,39.14098895861425,35.861840303526265,34.036580163532534,36.19360191073543,33.64878606518471,28.999645736901748,31.0524053994404,33.95343928232466,28.397861296030072,26.62977011077394,28.964374183584884,28.390837864917447,23.643991110796374,24.362650799531906,24.280948771654916,28.278812330135366,26.848358590922242,29.769726055919936,32.52420074816428,36.963558196609355,38.92629991791026,41.78152714111035,44.09865954274203,44.4549383456396,47.96512746638479,47.440795861780835,50.708906978485864,47.98327687940464,43.11176725192897,46.97025451663928,48.590706907202986,43.83373370335626,43.445542316703595,47.281193110700244,44.69815950548271,40.478377354549664,42.78832164007311,39.30610879942792,44.11917961978553,46.25862272375503,44.879969817651876,48.00922213356903,49.66373876788987,48.67249613718941,44.598497496011746,44.68314898374026,46.06965532912105,42.10082296154527,39.63196772547036,41.304387272826375,39.85877669795268,36.09882988552001,38.82340275313658,39.19113564077019,34.93258773737466,34.35463257806878,37.49584783679872,36.40375870459588,40.16561394591007,40.98387906977359,43.39263776202927,39.87948846235752,35.833847576844306,40.017847117065024,39.11619818629814,35.47087336274274,36.02116695528548,40.31794422801213,36.650900091659274,32.798923189668585,36.70258369270428,39.065623464331104,35.138994608993855,31.996011058473183,27.870647562365168,28.416649688987107,23.896257612681215,24.2923834391325,21.487873383898695,24.888203569249143,23.294990686424445,20.319606982038465,23.366691173119044,24.29085818648618,27.44198714087154,30.656067347210733,30.111177685913507,34.53516086500456,33.03046546851853,28.366373407299832,32.59065414497094,31.995343645336334,34.030373347653445,30.596026170857435,27.130101425923627,28.851682899249177,29.551212325535015,23.874367933709003,26.590839566918305,29.555005160512337,32.380370828242235,33.60166203684584,34.19729999258497],[15.709291154289629,16.44588406925496,19.365874479003043,19.151581103089267,25.001753343658375,24.642660952681435,28.24463686137344,31.643168533364157,31.039465638030478,33.548303911868324,35.85059662492037,38.02351766419199,38.79659570188457,36.915466232216836,41.795669337663156,43.49044374849111,42.103509543455395,46.31617025723565,48.06655961965567,50.709481184886435,53.592352202051856,57.121800673077246,57.552041087542015,56.14293179874605,53.63700249674622,49.87356757222309,48.237838775336826,44.83661717157788,46.143096055962786,45.83262008515811,48.894464642272105,48.27206720488935,51.48263578668923,55.36582352414368,53.283307191044585,51.550598527749024,50.466474759073535,50.96557142737291,50.20686095140605,55.45085678285557,51.89239106446949,53.66913783100733,57.941432835968506,56.88461416591338,56.53213419993347,54.875383502875216,57.9112473047252,59.51439622459747,56.33839046940587,60.129818476628884,62.53832037698968,60.935296157908176,63.506437981709,58.973820106655815,64.52438567247668,66.49767487988717,62.850071361270196,63.583323698469364,68.10180397811713,68.10792559619256,63.85171047337092,64.90244481476351,62.99867968501981,64.51310571687814,62.11028289697438,58.58882548473211,55.443957800417735,52.687985672514515,49.61902045457456,47.42988422801498,46.159874299682734,47.95696460023964,50.46786137964263,54.01908876330102,53.66572102291759,59.98440001491979,58.96572902485416,61.72763667253904,60.782492757085514,61.67513429015839,59.544340689636755,58.89893927754073,56.07648832064893,56.384033701143544,53.40928612491785,52.71745480953903,55.01549115628869,55.68519136873649,55.58949789889786,58.498807955384535,56.04459433707849,58.73156260869895,55.10433958279066,52.9797207402006,48.271596140482025,48.06897097626346,43.79819601600323,46.51471284955261,43.7329214136838,44.393020468192056,47.01660190504531,45.21400893883749,47.84128044456776,44.87927414150514,47.551365812631495,42.47901045793486,43.77485349001926,42.29853442136669,37.809759969242016,38.78894444886105,34.14149444412377,36.176723632971274,33.64195484547133,34.73541314886801,36.08036467559703,35.72190284180167,39.55285558123987,39.84585457335242,44.38014772440809,42.95926806434209,39.76774698951445,37.03765657478517,33.989105371095,32.27579289535257,30.32755462185186,31.598927402054734,29.762052001884527,33.48914606149165,35.32541776862811,40.34193528607609,37.84874363686046,41.73180143115431,43.66606203240375,45.430847671577084,41.805374364605825,39.0440100986558,35.63258988389989,35.511359044941756,34.72799645496115,38.50949400428322,39.980265212113046,44.80233096620705,44.36688908994769,42.169615383108834,45.45216347192558,44.38022611477266,41.156957575470074,40.3542614997043,39.32538783438218,36.41448329783029,36.833228096466264,35.94033254656899,38.96781172873619,37.63782062304852,40.36686736126524,41.72297540617406,40.72859878856903,41.03850407519866,42.65773059167078,41.56716025246688,41.86027325624157,45.42279957856405,43.48766836243648,48.03628922678531,47.47613821747349,44.73634973179851,45.94430506988843,47.091776066794104,43.62801315156901,41.09859232392598,41.353803931284624,41.03614270349731,44.714791865585354,46.27414880740825,47.67507821993133,48.377304309686515,47.59132440918841,52.22101326607422,52.077020900085884,52.25795148908475,50.77249392814598,46.208403439455005,49.641778730577656,51.75715270616337,49.581513851465125,53.515019835782915,53.27794385622249,56.882445846521165,54.34584828571786,55.22326677784429,54.2451741629626,52.111315670363,50.07736867295145,47.18046069928506,46.060757584933,44.320991652722974,39.86197166407368,39.955564897970675,36.09631624545301,36.240719461164375,37.13533661240118,37.231466053209445,33.82362554430743,31.9562934927456,34.45726407823185,32.06156993065397,27.07943584782095,29.452696405380376,32.79172073210941,27.19758647500406,25.454947483361302,28.166040261148673,27.773600291631933,22.925932446829616,23.86303992850416,23.292743771315095,27.702802148110624,25.459563847643622,28.372735316218982,31.46517754168697,35.69839006548629,38.02764584983879,40.56394644518894,42.83094649765094,42.90987118410488,46.34153781877496,45.68019924477058,48.793663167983865,46.11205781746299,41.10577603159457,44.83566171520889,46.34832261223354,41.554048512739804,41.05091061702443,44.74170495460926,42.111556511936065,37.889224309678504,40.015866836308206,36.825289085173765,41.72461402216286,43.9977699460668,42.93703838731062,46.14418450679786,48.10240684343942,47.00557666452828,42.78326780525254,43.24927334311855,44.76694567416881,40.631338996469445,38.26526781519171,40.31490154530973,38.990625947736824,35.11659284177051,38.02273878566489,38.691432162548125,34.499343050044054,33.82079625160153,37.029623958484706,35.62817120881343,39.1988923684089,39.70601813758836,42.03475958462662,38.75274106647322,34.450378013468665,38.36718404826693,37.55199339449144,33.91998290155499,34.05710511518575,38.39037712206868,34.83353531188507,30.74559668483447,34.374477493686825,36.880193490552706,33.023762716579434,29.714474220008945,25.5633511969017,26.135321251396807,21.50732030619868,22.511345351250895,19.44420417535866,22.99485569584935,21.582344807570507,18.113486492579348,20.906740006948343,21.608630433434236,24.6777671173356,28.193667208582742,27.647219818852854,32.06915119403802,30.57442054629686,26.3834908992408,30.857288406737386,30.662985378227418,32.648343972495475,28.90866852167972,25.8168482386259,27.919973827923826,28.13009721053486,22.925879050145703,26.09678097052425,29.11532701775901,31.887294674297305,33.31775076729809,34.07112650058739],[17.476660908848977,17.671757333998766,20.340879772632626,19.454122402355537,25.039335989544554,25.326598290918334,28.723997931664993,32.43241692279229,31.870836431907325,34.03124141671813,36.51865108938366,38.92401685730663,39.23236578559245,37.251787132337974,42.245668620825256,43.88794249075476,42.15350668732044,46.27176105115848,47.690580485593635,50.362135461722005,53.07817001303926,56.527162911418415,56.81573308720188,55.21478727467854,52.82410341300494,49.160644057063955,47.6500492465652,44.44029639000274,46.0452060319279,46.02000314062067,49.23722081742888,48.78251489259724,52.15700113285405,55.87082251081873,53.62791562273526,51.65690649074182,50.67575984926479,50.775487971662166,49.82214790304857,55.00795826527485,51.20310273529831,53.09324658970612,57.32850465907769,56.05304039415389,55.496881068206676,53.723409785259136,56.642697563395366,58.46006698546841,55.36643559953297,58.989265694866845,61.57950336317311,60.11573204213027,62.811958213173384,58.38306192996294,64.07551389816706,65.93486767396993,62.31356639370986,63.262503236803845,67.74656643527766,67.53110012040474,63.36324986680009,64.60454025163676,62.86537177434328,64.1696196440984,61.647540117710214,58.26961072889679,55.10216750492778,52.56153408571926,49.393998448532045,47.46628349099001,46.04865150610977,47.870237852200745,50.52926573089343,53.890521892234304,53.74622068590881,60.09300673701958,58.95315330757239,61.90929490193379,60.85896749451862,61.594693692762704,59.57991831032261,58.747518610502496,56.16028481842821,56.24754642001374,53.10944890803034,52.626272867356484,54.8472440287312,55.81713271356576,55.58444172338826,58.794401153571634,56.30302222546819,59.067338040382694,55.56292582830629,53.598131864228705,48.87157268055577,48.82967737572478,44.519668608465906,47.33046082776218,44.62488658673129,45.582594515312586,47.812769144078295,46.08979950961501,48.379354653733266,45.433637279328785,47.813143507785114,42.71469993094902,44.06248890991787,42.331003419316545,37.90136643046222,39.14853378423372,34.48148862277094,36.30755209228034,33.91403765557571,34.62752481392955,36.029810990746604,35.332948867197985,39.147450174544105,39.089498781694154,43.73381486974988,42.660077002407554,39.40161266085599,36.83982013840765,33.48864773191035,31.992995155806753,30.320033674483707,31.275086442180225,29.844303314075336,33.334907503722285,35.161243590963494,40.16926610596061,37.36349372764906,41.34153899068406,43.037395246201186,45.10234586287196,41.179864129621286,38.50371366891079,34.80938834195074,34.64473794203076,33.79064359233527,37.72838773128934,38.82009679966739,43.66003093699908,43.514004305943466,41.448560164568484,44.83053622449903,44.07663374038112,40.83747442326562,40.35475924323411,39.4754085581418,36.84263979320516,37.50844649758207,36.939131061467336,40.19425567935268,39.22919469420472,41.7514914493861,42.84160558120427,41.5651272622384,41.77438947683744,43.140666275150295,41.8606507654041,41.710851837844025,45.261602798075394,42.92550707940802,47.555549346433345,46.69771674234862,43.647397119406826,44.89932655799576,45.77054475374158,42.325233951906355,39.85199522486887,40.338687866887724,40.1854748006139,44.10363107981118,45.8993599913645,47.51380593823473,48.481159482452895,47.792181112691466,52.503259767602536,52.039802870668346,52.24905900582204,50.428870898190965,46.08069296956433,49.25591449504914,51.18269646551813,48.931041513919936,52.83113398842677,52.61964989411861,56.01171939865811,53.20973906277001,54.14599491281952,53.079921727149625,51.1344158627041,49.037529300011286,46.21617553380721,45.1452815162038,43.371959833001746,38.93115829818134,39.28445029422521,35.55136868697196,36.054012699667545,37.050046330506184,37.48530717093816,34.01735380752839,31.996745075688295,34.792746119052325,32.66841860514715,27.364327423528074,29.90996283457577,33.68001305321096,28.198949882349755,26.390485929623384,29.323912316428395,29.22343373260884,24.351205470991864,25.24600913008282,24.24882530161449,28.82289760318403,25.73398045877586,28.77279571939272,32.083103709090906,35.99711655980682,38.50046729406914,40.79883105526388,43.17849408790288,43.08165144277216,46.47465231345917,45.81029332805866,48.68123130186857,45.94618562758038,40.94621719196274,44.57728959766076,45.82958876376681,40.99815496609329,40.49936124511401,44.00414867502368,41.16812412431576,37.01090251050282,39.09931617752247,36.28900137432943,41.375699640568435,43.732867263807776,43.00260184959919,46.3387353178455,48.566011509871835,47.46009214789865,43.08822990279192,43.855928081327235,45.56211726418587,41.33557969584749,39.000275766889885,41.37121648908894,40.204435292697,36.23155144152599,39.16880008027875,40.11142625085685,36.04674900346559,35.176900053634505,38.341884979008654,36.670881185156695,40.061098089886556,40.36762196289416,42.5090310206175,39.3648428257436,34.97711457261526,38.594593686831445,37.71001116883488,34.131253755290544,33.96700598486406,38.14005099143381,34.569944519613934,30.428488565631383,33.77976357321254,36.20829329969068,32.329845428664434,28.985127992791018,24.995719074620194,25.235886752109366,20.648427302107258,22.309722054398318,19.379035370472998,23.180974888800286,22.184956982315715,18.225900068695264,20.616664982690995,20.84532583855185,23.865744555530576,27.729727606370222,27.39919484222721,31.793540005017086,30.408702865444653,26.782309522759327,31.459229696837124,31.62776171156063,33.61619309846703,29.62413758027943,26.891476704537226,29.32169601530417,29.122398075825245,24.399727511880055,27.87244520474529,30.888224714000923,33.595122940252296,35.159790714187025,36.00423272538383],[19.105844393385464,18.736562797449693,20.903338817340863,19.800343835581714,24.798836045691907,26.062166058978082,29.330080289609217,33.290465832316514,33.06774971076794,34.97761969455339,37.741444593901875,40.23472995579803,40.02924409288955,38.18862346567792,43.270665999491705,44.714938467371454,42.62814501502954,46.70233807008396,47.8432772702078,50.37323374494013,52.97503012698269,56.216876782092164,56.45036328698926,54.63338508314626,52.27910885406592,48.82073113460257,47.31223085906739,44.34177886800478,46.253487705224366,46.45081628007861,50.050911283169384,49.5580099141322,53.16033018727814,56.72257338240905,54.2236115327568,52.048272929650416,51.00353779804066,50.714169304144384,49.48666776235019,54.44422280324087,50.50278316266825,52.67330753585923,56.80222032988297,55.25789393205208,54.525155608437345,52.53460659175944,55.31829359000047,57.375339700439476,54.26138928098276,57.6132135390182,60.37834392381501,59.0717504626684,61.943392056434945,57.65582833230272,63.45076571896217,65.28255691735816,61.769944842013665,62.935301981259435,67.39287191459263,66.98874049697055,63.03155984012935,64.57000455302936,63.062645684268816,64.22965861718005,61.50988104843313,58.25940607310432,55.26650558571704,52.94390613713597,49.836146881501676,48.21233492686463,46.7389509819177,48.71624753073789,51.399830198691305,54.495190547803325,54.43285911769108,60.778099666279985,59.35661703087463,62.47801720708408,61.20046073886555,61.67129974939501,59.654158877743235,58.50805887998428,56.096570362737594,55.84280590870877,52.602612177075855,52.46120316985422,54.746981929992664,56.017371238182236,55.829954226159195,59.38361386655798,56.99595429805083,59.957095719996886,56.59579546571136,54.73990215795337,49.99777232573819,50.23214406440476,45.88629141778163,48.55861927493879,45.842938995156715,46.95081566782232,48.72277824464711,46.855719845319236,48.817562330005664,45.698882269672524,47.6174481092618,42.47860653935979,43.68968634468819,41.6155782160088,37.28141433415057,38.93346182023894,34.36554237588517,36.15915403943521,34.146773358233695,34.540176953675,36.256784590968024,35.25188127237868,39.11623661245104,38.71271906327645,43.610575095867794,42.89949206313031,39.66834379363362,37.24029636210578,33.54072002082383,32.153416608573906,30.640724264285893,30.97261660108095,29.718649801116115,32.86315522740663,34.486784559024,39.424028747347,36.14942544756733,40.092678431465956,41.62910083250457,44.08248148112144,39.95794387179342,37.55357996260357,33.46275094452333,33.55552373356674,32.853769832069915,36.89873954940348,37.742190748965115,42.622984538096524,42.863424839248935,40.847158773026095,44.265132890174364,43.89635376134352,40.63236355657197,40.44140480263707,39.574884069224154,37.32272694496051,38.048055297507766,37.98496996017812,41.32688323667932,40.874339607158454,43.28705094922326,44.00694184671716,42.501221607294795,42.41386496994697,43.64455963704598,41.93493005848623,41.36340386794977,45.04492738666205,42.26904775759827,46.92722675674138,45.62914486504406,42.288925416497044,43.37739264872096,43.931495227026005,40.41550722259049,38.1665610807947,38.833316312000115,39.024341344992926,43.13715432291195,45.19127504612324,47.09241769256134,48.29957577779045,47.89813250373183,52.554516919898965,51.75015484140756,51.86287786973273,49.67650166692606,45.4875789356391,48.25279487411818,49.94256715477715,47.72004606566297,51.72265404336815,51.70685552113382,54.776066589365634,51.77151295892149,52.589619166241484,51.32860621777498,49.56877408399558,47.27291503813261,44.4824160206537,43.36523476440019,41.43976140972609,37.0934940000505,37.604619549851186,33.963210360437316,34.95282442460175,35.84726940034155,36.746937021268835,33.34828628856872,30.977671093833568,33.99592844805474,32.33775056783522,26.700458405594773,29.236616195268855,33.500157343894415,28.34148650249326,26.344961865848266,29.42075459317026,29.825871254084014,24.99736750760976,25.62606204345379,24.11754727468096,28.730513114666035,24.634382360966598,27.843322276513717,31.320882937357734,34.78437457869614,37.417246896360474,39.44379603868573,42.00715239860203,41.76994737765136,45.1385977022366,44.58476498556968,47.12731679698486,44.26726611333508,39.40021843381194,42.9634496594022,43.838364083580664,38.984361519293635,38.60839929932462,41.926941606301,38.78061417534957,34.74315331986949,36.98926306951439,34.54577512996842,39.92647005964594,42.26653310443469,41.84849462657508,45.38443721929387,47.84983951110957,46.88253290095334,42.338886043395675,43.32214851039532,45.34184923010246,41.12124184160065,38.697152218177294,41.4106958843352,40.51329899137899,36.408366294372016,39.217949959636385,40.52328456139546,36.71624765986067,35.47432281735384,38.48882625302383,36.486442801988396,39.64112671044861,39.790493947132695,41.61719341217283,38.58358533372919,34.23097536692448,37.4759095045352,36.40787568784418,32.930263156625124,32.53413017566549,36.38459544727532,32.75137953556085,28.687158809946574,31.765202735290888,33.964938865581274,30.043627281762344,26.755133342062255,23.07220531473192,22.810469180828356,18.39865703208921,20.711370075190107,18.20265237597518,22.283983220653464,22.0071829623575,17.60715515955266,19.436786488261205,18.990149827709708,22.001657959436297,26.13296050654236,26.338151360369444,30.681948907105582,29.67816136581322,26.608523739247794,31.430566825849947,31.933123205681028,34.181101635684705,29.953724221525103,27.511076448183648,30.416177851214485,30.011529257988897,25.80714155936528,29.59745829131871,32.71754269003186,35.31694874991098,37.03507407560823,37.90276542329161],[15.99566569093495,14.978957067975598,16.813109031177934,15.309168846065381,20.04132001685177,21.705263483219987,24.919490999791034,28.954357454838817,29.043584303451993,30.93803609113611,33.89117044415165,36.28760166508595,35.85680758753945,34.31621947500278,39.39871148483352,40.6319348028931,38.500300783694016,42.66304166216204,43.941157045956935,46.2376957004484,48.96943790521208,52.08597979310169,52.49448877245082,50.73741560603214,48.209405514974314,44.82211222666936,43.09945435912119,40.11187957838334,41.99551119874598,42.119205734773885,46.02817338904222,45.304276830872816,49.02788213601077,52.572991552485895,49.931880625714086,47.77577096020236,46.552788543401455,46.284603326903074,45.01071044489953,49.85451207796747,46.07081389750776,48.373308728070484,52.45967356561287,50.95294809232919,50.36088816860326,48.3418767096112,51.20259864290433,53.1393992811707,49.87237330268138,53.26114692304307,55.925839311041734,54.56217887951502,57.43276418297261,53.10739630926048,58.849215258865186,60.787162221123396,57.32229148244804,58.4257421062401,62.91242224698805,62.60364275265667,58.73351921568603,60.3480599015178,58.89055002789112,60.199892613030514,57.40180503638416,54.08208357399587,51.35467103800683,48.98516510752875,46.12676941132349,44.536949463364785,43.22910378069582,45.460668412525656,47.90829826276414,50.900241417372285,50.60810504358312,56.9238384075016,55.27414755466493,58.356596331481605,56.925271870350784,57.286622670515946,55.139269142180474,53.898460723617085,51.42579947735778,51.107591133895966,47.918767154238516,47.843874157462125,50.26552111672689,51.5222898690175,51.52955630855025,55.143517694729184,52.92947835162976,56.07385062357502,52.75329815096263,50.85189527948851,46.10266032467136,46.561164698232034,42.20147191360097,44.57549434165298,41.78497029210961,42.88750542371714,44.400018227206296,42.39646204074591,44.238705700713396,41.0257206354454,42.81980970814382,37.681814958153396,38.90279462686059,36.804409100422184,32.48913014607087,34.175152000175686,29.615391678644514,31.399118367740726,29.54389763313484,29.9432230314799,31.918411761522076,30.977024386075612,34.952429341138995,34.67066155409562,39.76080019644645,38.96568332722599,35.8714734245966,33.343669146118465,29.603674218246898,28.005079007263777,26.32951797924948,26.36949297376921,24.98221683437131,28.064490296461837,29.651092491032806,34.582805566753684,31.357355932318775,35.32890706897703,36.87777175222787,39.25640389697954,35.181006284704736,32.778595939061624,28.742246540486494,28.956475117960792,28.43905361978672,32.39131496627268,33.57257054586622,38.51242168193396,38.68387641819091,36.50225193140657,39.84052170601066,39.452614222404975,36.166403614736474,35.92465599168031,34.95233956545927,32.829310645858996,33.5081522145831,33.722046314421014,37.098039057719426,37.03182379334198,39.342936812545965,39.79245709062727,38.18870478989553,37.91167335095079,39.142820247873416,37.2316035851612,36.63822597420446,40.42773338526493,37.68653534611717,42.303287582918024,41.01818690269849,37.827916700829235,38.808107157622096,39.54258406184147,35.987472010635805,33.71619227678988,34.22801303012265,34.40061269942871,38.42035648711022,40.431583340741845,42.34547127304451,43.540787953997494,43.26015177167999,47.84755836606093,47.01052630331677,47.06603242971915,44.89148130190342,40.658174842541555,43.42937677738473,45.162648004473965,42.96600643304247,47.025932943335405,47.08490070374142,50.196537866286945,47.35879843988866,48.06336507174073,46.83074408146269,44.946063731006326,42.685383830242,39.85813438388754,38.75646887993098,36.91753471917797,32.51922118564903,33.007033160616054,29.397447900268464,30.254389700499647,31.373387172672413,32.20283768660786,28.700503776117834,26.532535684383088,29.737332778245612,27.98764761077801,22.321762507757416,25.207718103807203,29.560438432147343,24.339972676501617,22.600076649882972,25.976538639322108,26.274232222223517,21.575503511162243,22.682647001863778,20.911757224658665,25.89318904450545,21.69958168764635,24.473349429013584,28.206313990468107,31.716487074694108,34.81214802111412,36.52839920968081,38.67302529812711,38.13737720530945,41.35317683157326,40.48999136567147,43.139154320257155,40.52449755707609,35.373892948060174,38.79317391668358,39.94653557678262,35.12598408139548,34.45605530064378,37.78897028783896,34.992457214040726,30.833854756283653,32.69351637222458,30.191383268414583,35.36637018623065,37.82526362504974,37.495984747685036,40.92657880757001,43.52280546233563,42.36843023785648,37.827878670700215,39.07245200944308,41.01204832659529,36.67195288472636,34.44727667155247,37.35002513420119,36.46253988603151,32.38625478051967,35.44699680231592,36.8774594957041,33.10380248148155,32.01348913909572,35.15774022853079,33.03313711672343,36.01711044040464,35.841635041121336,37.814014791134966,35.10598097001318,30.42610618856426,33.549854024026274,32.85541003436543,29.383034801845984,28.58333649582537,32.79029959370135,29.54531471658539,25.06997388497466,27.955025410740653,30.670616557846916,27.072029369115448,23.47158288280633,19.461407691345304,20.04650900144606,15.408624606453925,17.949702552812557,14.597996186311631,18.339783165456925,17.849587107293438,13.345195492425152,15.018577681075683,14.847249114265429,17.646261908243748,21.800332550532104,21.62981578755381,25.948193265078608,24.855930906569583,21.978678914853482,26.84609768679352,27.593555023710604,29.746852347615054,25.41013276832715,23.27496477010332,26.383819852894955,25.709479243011554,22.000059103290006,26.03560970539252,29.150349151165276,31.622104923695424,33.49649441609251,34.45740654018403],[19.498422328053383,18.177137008329144,19.902658054199154,17.176887545462073,21.490776359288343,23.48881780697519,26.17721084207395,30.494455798577363,30.29267269376099,31.58304220764609,34.586132644309124,37.362984787352225,36.41553640605585,34.53214484299752,39.672064100805954,40.96636596215818,38.42819486200012,42.33805300907018,43.097624656571384,45.574578127091264,47.99460905539182,51.09991114354529,51.22554959492355,49.248056153678995,46.980844133614404,43.66202178414062,42.26257652216208,39.53714837537909,41.786193210537206,42.35342995502591,46.160189827386695,45.880308323809224,49.68763733032136,52.958152962168505,50.2463787001623,47.77269009683158,46.88189314789432,46.07664974351438,44.642233931198085,49.53374386650555,45.33430838183611,47.585541597201505,51.65316738567389,49.91608231075866,49.01771245293838,46.960668204106675,49.65788833257513,51.850735675733375,48.83970987803188,52.08390432537552,54.980056682132606,53.794873723445235,56.75100549486466,52.569645560778724,58.49478800243825,60.164282323528134,56.67363926891956,58.0629445873881,62.45531564342536,61.82199655604388,57.96717299127958,59.70852441954747,58.40824905639803,59.357766605221556,56.50450353773682,53.420841425064694,50.49070996094724,48.4293852928785,45.31907741077091,44.05470027735931,42.485166233079546,44.59615363863574,47.317961962648305,50.10116620226791,50.20718213172917,56.52411247564482,54.893717809617705,58.22803507481627,56.801225084344395,57.06971040336341,55.22350021630045,53.88890936297137,51.825006253085604,51.35539147976856,47.913105781613496,47.97051356114827,50.10183844106675,51.74077358831271,51.370400156266136,55.290420520530525,52.90506471127305,55.9933313211785,52.84173124300382,51.21493657082901,46.5025749121679,47.0351571662036,42.6921883874381,45.38631620572222,42.82938292638591,44.43221481981437,45.51576027572046,43.89936021919946,45.274653187359775,42.36204354257131,43.94216834830795,38.89774804432557,40.39243179160236,38.11580664395438,33.95735820747557,35.775280612431246,31.194957443127734,32.41597313016592,30.52800668400208,30.321531833455403,32.0276529589925,30.6030789326147,34.385215493380365,33.6050691948071,38.61773387824796,38.29733418917357,35.078979756858864,32.87553792142645,28.856059079456514,27.734946304986604,26.637416408788283,26.56888574838312,26.107284446630203,28.848570870481318,30.602207078290636,35.446114876633395,32.061683114466874,36.22868007835986,37.29390109901181,39.93759641992588,35.40945773006942,32.96225590426497,28.761227763198107,28.528815601320225,27.656580102742314,31.802456165390822,32.241454594637226,37.100450054123236,37.58894151207491,35.723951826061295,39.21499130911692,39.205417365880486,35.97288700598241,36.209436504551945,35.61926548633284,33.80377565767982,34.996858244452135,35.386372531459934,39.108720920090136,39.29141539899276,41.20990887841608,41.45895968308055,39.48777473649829,39.31729656166702,40.06603206346549,38.229800849658766,37.02796705607171,40.557811329787576,37.35311010919261,42.063004614784475,40.539557628344284,36.92617877000023,38.200113069349776,38.56447099156099,35.20120105507741,32.85199340556139,33.76724468988531,33.96533514872979,38.30683150324913,40.58832828326694,42.67692072679941,44.23795775828727,43.869498192148406,48.64617931188484,47.4258635693204,47.66439616519979,45.105809626168366,41.31075141690383,43.86048107952859,45.361968060567676,42.96368142141536,46.7554052959468,46.65151429055799,49.55894562662445,46.30814790786712,47.294245359689526,46.075666737962436,44.4927876004769,42.33342941657922,39.715429395470366,38.8231568235618,37.1249919232441,32.75436647315076,33.75650645305895,30.498097059084536,31.672847426173263,33.17066476651689,34.26703562505835,30.643600156475117,28.628205831432247,32.18988073585417,30.60247729744448,24.841206346613873,28.025082994140526,32.623906240057536,27.497251875942613,25.938057657929285,29.48401208163182,29.802280754462068,25.224533488120642,26.50016904985192,24.513186756444096,29.55978491224677,24.83690530059752,27.531830734056864,31.422552431632376,34.58226561014415,37.87067235424939,39.27144345286378,41.402384787712165,40.596310297951376,43.66035463607261,42.65123101259451,45.039128175998016,42.51236916651811,37.31668017101593,40.46514735820215,41.398730082544674,36.62167592003521,35.80215604535191,38.78381517426473,35.906611012894096,31.88227304350429,33.33882431651634,31.50621129952678,36.644125232828294,39.29594061428006,39.45556797374164,42.88199215276844,45.815922745855204,44.47877029602731,39.87646931986693,41.59434654294891,43.562094494141405,39.08788068825403,37.12058942628669,40.306138574865955,39.48201341391678,35.44815221891775,38.66058530740704,40.251061868920765,36.54660027739797,35.50964481156294,38.658198055593935,36.36718430117931,39.12550302460329,38.649131192176114,40.50626474506086,38.08698852102742,33.28923342646009,36.01687440565611,35.41761550845965,32.077280091907454,30.800301126921457,34.86336201691151,31.80039237660107,27.25746645273058,29.58508983558758,32.31939446808716,28.876132884669268,25.255345907269703,21.54876662980751,21.846198187944523,17.501373022950858,20.794530178802475,17.59629409443159,21.223092851258023,20.899270965534264,16.22710984216649,17.299829875981143,16.669824450778563,19.02267458351647,23.537045166616583,23.253936679337283,27.31395608022382,26.080094900904733,24.165684605258036,29.106550434612828,30.29770411282058,32.041531814477096,27.566660737862165,26.053205762116797,29.181382843915202,27.832399057729557,24.769593495231494,28.88964418567489,31.775340849805545,34.16577153096159,36.09269055641132,37.21697439068399],[20.553762611789857,18.56296264430897,19.667242157516377,16.109008293443477,19.355702030480106,22.254909806249046,24.46539568194635,28.965639621608993,29.03982746123693,29.89207747262829,33.13463592564445,35.986795691420404,34.40990186307262,32.71765858606912,37.84003160335083,38.88047293405051,35.986211119994564,39.78947373245185,40.2887776904863,42.561936131514095,44.87914818517279,47.75806066611789,47.876256690035056,45.757159346706146,43.48438987394102,40.3776278185407,38.95508597253541,36.48210963199161,39.00559794993444,39.81512780177139,43.969477700710414,43.68276238085127,47.68992820621089,50.733663927784264,47.781331639836914,45.10774031766415,44.19721310318396,42.9858328780119,41.31440020721878,45.99443523106277,41.68769349974446,44.15416434959206,48.10552078483113,46.172082314478445,45.167806250889505,42.97026342123208,45.58483234018212,47.904541767687796,44.8835829701892,47.95740617950469,50.945201815244886,49.86890856671303,52.92685160205008,48.87437434414745,54.86004682673002,56.4812728059088,53.096258871188134,54.66291547833175,59.00111500881094,58.21935026615265,54.55220107412968,56.54023839062659,55.46050356833077,56.30421225600256,53.28346887533747,50.31830565928136,47.616328202624665,45.76870982068553,42.80875242906423,41.87076796116648,40.31433924533348,42.63357495958361,45.26571075790052,47.727409029611046,47.854086379527345,54.10578521216349,52.17632031423483,55.64446487373195,53.999289323249506,54.01464145621756,52.203919722859546,50.609059639524844,48.77388701650142,48.02435072275841,44.47674039091669,44.815582305006316,46.94407360141429,48.87551820988477,48.51941189051819,52.756525679297496,50.50025762761723,53.78077433931721,50.818018665670245,49.33272578499415,44.66820871099018,45.52575175040755,41.217480243223385,43.71641822347074,41.22770929785213,43.086970186715725,43.56543802891167,41.96723343832793,42.87362963034412,39.97632917458139,41.12676285411375,36.160980018406235,37.71731422594073,35.2052601414136,31.24656444063478,33.31670405042977,28.87229368643599,29.75532755806579,28.21152664265425,27.54598964310455,29.469811462770778,27.726911916091407,31.48295186536774,30.39947244473049,35.62490090866478,35.63313296476493,32.52959120677282,30.492753886503113,26.200550570077365,25.2128634226241,24.37747276364456,23.659769017203335,23.687548886777403,25.938919521518706,27.612095477252392,32.29614920723896,28.681545007718725,32.91358070431232,33.64609141646727,36.527689930498184,31.746845138652695,29.439879231727293,25.03362166711775,24.80456574606385,24.009921469003856,28.201418216133312,28.422840498748393,33.27748568395727,34.061960467594304,32.2480641277376,35.733579421347514,36.08323681427773,32.880017965459956,33.44764568951568,32.96722248198148,31.62309434023931,33.02819970667077,33.943969572210115,37.816129661124506,38.61706256398436,40.21206078062568,40.00212896954549,37.71887385017225,37.312583032724646,37.76533422542528,35.62141643306029,33.913874399476086,37.437456103388556,33.84435256469842,38.54326591004978,36.69720006517523,32.877930816261205,34.11560391740742,34.28575385295323,30.958215887524624,28.67327113364909,29.754261034721484,30.13019434875818,34.62484769996425,37.11852374314705,39.42674732094889,41.253925665997514,41.081869280334196,45.821726434345386,44.247785459438454,44.47830110497609,41.589951048859234,38.07760514939474,40.309102723674684,41.61174164524063,39.16169446777531,42.90204481890703,42.8774248064474,45.554982163336575,42.16800603804092,43.131692700439075,41.85224477993355,40.40925027204624,38.23570919532027,35.7171233035813,34.92317881128206,33.31064212628931,28.98406292076652,30.322205563836402,27.378510896174216,28.823937034129802,30.642030907950126,32.00769680795267,28.347718254457668,26.480285894206347,30.385063143270507,29.051968624486726,23.27738192204902,26.77037855833776,31.61948912605095,26.78903991290874,25.498617420388545,29.262764914673173,29.696256979678683,25.462032905125525,26.9911420330616,24.628373880549933,29.773259411759057,24.553578610655173,26.828698584236502,30.922203448740138,33.694799087577714,37.40239093612529,38.287104249138835,40.12469702052171,38.91404623696077,41.72714151618392,40.458119702143655,42.63602706752135,40.332118282800664,35.01388240273916,37.82855022023908,38.70766535659895,34.037033231388186,32.95437423215959,35.63679361661716,32.918544004065474,28.979518326312213,29.912778194814003,28.605095495322374,33.59770163159745,36.40832601606894,37.02705312051275,40.40588804279898,43.67669609132691,42.17612698346495,37.532341891109475,39.75767331187426,41.77930150176142,37.22021812031703,35.53251057297817,39.08070692482306,38.41919783308165,34.45578334972226,37.80790998816885,39.67696936497101,36.20306195232635,35.178038676602014,38.298049824905874,35.76211441024895,38.13981070768276,37.21789589968405,38.97276219043789,37.03088242695062,32.04425828713418,34.265029143768395,33.94879917508251,30.799964246141947,28.88904281962408,32.94067227701847,30.33458623328882,25.588158250881385,27.256485304657648,30.278942542838003,27.262738664964218,23.515872447106403,20.00535133358003,20.63523894642259,16.64045579498715,20.535624565905184,17.170242478819233,20.301367311687603,20.220868433238284,15.570278318997392,15.790833787078489,14.848111998928122,16.521942215595406,21.19642272539388,20.775575932166078,24.499515430830535,23.327100395529527,22.45951980668109,27.36495683550842,29.082498882576377,30.612394674761745,26.015467605535864,25.23666080124077,28.614014822199653,26.701492587395954,24.651628870544048,28.942104682865587,31.685292259066813,33.850174864333276,35.92641428135467,37.17584480055163],[21.029965315005782,19.039958244038477,20.491816071504996,15.64027572707688,19.144066843350632,21.180843710544707,22.86126490904062,27.432132769334565,26.814845712735426,27.19912914382375,30.253666870733685,33.45623704823084,31.78405810066685,29.575834741758086,34.69987724494741,35.99716792539785,33.027036266962284,36.64271006177614,36.949754534887546,39.57514444098582,41.744866353151934,44.88269228198343,44.810407938246925,42.75784257540812,40.66180537379197,37.33372384121668,36.21264061271917,33.67969565570549,36.22421338206091,37.25346022590094,40.91021523143236,41.129974947197745,45.00895181548075,47.91940282923332,45.15141699218002,42.36042077891498,41.875226124223545,40.555922340742995,39.0661930268731,44.1261138415075,39.56082373449369,41.596214963273525,45.68549820805553,43.8907990867674,42.836820488702614,40.91797868500095,43.59054298627959,45.805722481638036,43.05863719252969,46.40905784443914,49.365356489932545,48.23035626705788,51.12549913950981,47.012964378844764,53.054163795267456,54.44222736755355,50.880551263431116,52.44649119943707,56.734107192742655,55.872755732494525,51.938723013803084,53.693494538799115,52.49328272900689,53.15821221501372,50.303260672590454,47.39698383622526,44.29275197423086,42.48449879949212,39.21505296924435,38.27036610713088,36.52246208951549,38.627523792632566,41.47894736013877,44.01361460268692,44.41660955175337,50.69826139232856,49.06681265169733,52.616993301153016,51.2167874780007,51.44484149637757,49.94594502383663,48.64652163610052,47.027333347507685,46.56525183111169,42.873069228532565,42.889860994764135,44.62533080669216,46.599342754668136,45.79104920721707,49.973990403051246,47.4290074004227,50.47542625421617,47.533195681890135,46.21652381609932,41.59037039639542,42.29194232034632,38.019026273751315,40.977004744147216,38.75131880089774,41.051924343142815,41.479610122716835,40.499179646371395,41.22408944510267,38.903082268010536,40.41385808420347,35.614383678513484,37.71952626154599,35.50427880720049,31.6041968838787,33.22975526589243,28.61612950644193,28.833070671558907,26.727072812174065,25.75057765508621,26.95393764156051,25.048502426042663,28.564275913987284,27.405787075500612,32.283101436804316,32.32547062649875,29.042363066929305,27.160965117219266,22.92912897378903,22.315729799885315,21.947532783502837,21.945727808552043,22.870306267096275,25.212659575166136,27.4143402664056,32.08521569015057,29.079682422793706,33.58432100749214,33.99201306755104,36.52382515334736,31.550522749147756,28.736065315809192,24.85399004253206,23.621422946007726,22.140834222479604,26.382716622641308,26.19212902847955,30.929347469961996,31.457128777183243,29.890462088665128,33.50447124929709,33.73212252829531,30.606349715291092,31.33204398776464,31.28263670499301,29.82792613857554,31.796632327681046,32.36864117028088,36.589797881090966,37.2240115429059,38.41588892810587,38.307446094432244,35.812878559330805,35.86465775064687,35.894447277302774,34.37653624942901,32.51782915968449,35.56252901548731,32.06516661383955,36.83915340611487,35.406341560464526,31.598817588744925,33.449227540134345,33.781008958771366,30.828193699914067,28.042389142339808,29.251064270491494,29.04577129640728,33.58435310942895,35.98628939881538,38.07533775419004,40.00004903767111,39.34193874595872,44.38474277570016,42.81656703990413,43.39663117942437,40.59281650475028,37.36185072637717,39.960097765258496,41.369288949055516,38.64003456606604,41.90105520688698,41.39256335542551,44.34982509625401,40.84550102159499,42.30742780418271,41.38282642746298,39.95344562123141,38.262521949667985,35.955952459849534,35.50854167201293,34.37257841583094,29.95306358777254,31.607008357273592,28.96586871255432,29.92856877167829,32.399739899556984,33.333790934115044,29.40840397947616,28.320993310206152,32.330464577009934,30.4796985185015,25.075808892270217,29.002593637054513,33.475681743650156,28.285317232098592,27.507802921892107,31.38770261891176,31.18354897022415,27.046103368343463,29.23279781309699,27.15821684937511,32.487620936658885,27.938120660408867,29.836852671214334,33.96102498499589,37.012853287031135,40.890949924967316,41.73305411047394,43.177284905963404,41.78745243864858,44.41986649426035,42.733594808903845,45.134316138837576,43.19607613979606,37.56710297758783,40.12888483983301,41.4248045320501,36.87779778970014,35.36643359805233,37.93870215370957,35.76462246264161,31.79378907337721,31.902516633035752,30.734745155269895,35.09886983065903,38.17674692304372,38.89979297664946,41.928871910670495,45.27947958240885,43.304186669935056,38.84999872057145,41.39363813265737,42.978339236620904,38.21347457763917,37.018067308195675,40.487129949174,39.54318811243049,35.80987054628898,39.59451007557319,41.222700456051946,37.508508584465915,37.06167385873334,40.4301873649151,38.08960997029453,40.482942355119434,39.33718799199553,41.451774559298066,39.770100142236366,34.50081290674265,36.78725823384757,36.94477428396269,33.78804163614103,31.613898648666364,36.07729086873295,33.85186418621431,28.836845896949196,30.31282657892853,33.80800764774803,31.091219209484795,27.196486004208126,23.452791249881912,24.71849057637143,20.633093103693454,24.285221220664162,20.282809569652304,22.907609836634695,21.94497278734056,17.671560131836287,18.13892099359715,17.9309068018372,19.137556286579198,23.637295856736802,22.123911843898174,25.584822871073257,23.589435889473336,23.088579562216673,27.87341771941983,29.73733113585731,30.39509093744457,25.905511703201004,25.597680286155313,28.47305579437132,25.881971781106632,24.204914039093012,28.331891552609683,30.670296236900057,32.79309875288515,34.837500193802065,36.29101884108095],[25.671862221779843,23.591423558742775,24.7092868447873,20.082300301536414,22.744676342850713,25.58705482826734,26.9806779965966,31.61691566336811,31.184721811409467,31.157820072969603,34.302493671426866,37.62118912672017,35.41469718112695,33.217695513899294,38.25932938941204,39.407221303141036,36.020043584792674,39.32934213801355,39.03016038220572,41.58808886496595,43.37904981661545,46.249333201489094,45.91089886681043,43.50516037926705,41.6934760713016,38.70119684823154,37.85130535824592,35.81152381135079,38.801451261912625,40.252535481740956,44.07279118689388,44.49423507910624,48.50977129357611,51.111310695439975,48.15220112506045,45.06863729369494,44.72112882549336,42.77073351829056,40.94673889655987,45.692835143487756,40.80735627009255,43.05881234701831,46.95026151965661,44.7393753552408,43.286443630780965,41.13002357462316,43.469615478107194,46.11516152611356,43.582701686158934,46.4598925436355,49.74356325363459,48.93104808031282,52.036312061653106,48.21890661528168,54.39806322191525,55.57523884053094,52.14540376241465,54.09077233851906,58.24251716953643,56.991659780431576,53.32677632783114,55.4238711681315,54.552933910119464,54.84016975367637,51.80904808494803,49.232081912720886,46.19780046790014,44.83159486611776,41.507805800903135,41.05691005356494,39.125469398548596,41.189262518653386,44.19924474612925,46.33130714347604,47.071811465507785,53.240996849227244,51.42374238750852,55.21370516136843,53.647636411307154,53.580461802941564,52.278363219217034,50.64602850481963,49.44317537140477,48.57122154577068,44.7059329907262,45.14341187801179,46.74322087415785,49.17736385992294,48.20961552078002,52.79135627115058,50.272412710320936,53.38344915193673,50.69787216445402,49.6396108339515,45.11418890219617,46.02270872303722,41.830943206537164,44.79101967513257,42.70908836527672,45.24722266616504,45.17965815649442,44.23950818141664,44.504199915752615,42.184691816373764,43.13608836381929,38.444470278500255,40.434596388487705,37.84145599418024,34.20794957065259,36.25967786309041,31.8916425131265,31.904799254085347,30.24944507160644,28.762124638237097,30.076050564773453,27.69123598074196,30.957627754828312,29.138692701609447,34.02028471646534,34.75135398530437,31.529269119305045,30.077920256008788,25.573418980011198,25.419935416785574,25.533411174026877,24.865567566703177,26.27872969171268,28.014709826705307,29.947745543362153,34.33328044108058,30.806084375076015,35.19991871445229,35.19479411301783,38.25460767675675,32.96583031214061,30.560258446745724,26.261848148342697,25.159194926807242,23.71428629761641,27.99716076452096,26.96036574515926,31.51396215758731,32.71885469505835,31.492729096467837,35.12896606539468,35.99141143257185,32.981005675138135,34.23094538624558,34.37396688261816,33.44293090866397,35.56090025065974,36.56605934366557,40.823519122701974,41.8327032965265,42.860685324665496,42.45071898767513,39.72987655280523,39.57591062984971,39.31738897784361,37.47615805611935,34.98903312322455,37.944315622081156,33.82132177382765,38.54364806308703,36.498230769387455,32.15680831075895,33.950067194230435,33.6088863707097,30.767427518391155,28.310295342852704,29.991457989301164,30.24735722574426,35.06584367114206,37.84468674960601,40.28087137697426,42.57782178654129,42.17832931069308,47.14624239767365,45.09441572024552,45.64844070692971,42.321585396477886,39.54837780670208,41.52249725935659,42.51044583193425,39.765784222818134,42.934090897806314,42.56157033969873,44.9699926865283,41.001020616951145,42.484850076137306,41.34038854498416,40.35424884877191,38.50516922790935,36.405432066524675,36.0206363605494,34.77928671091649,30.623293295501405,32.66958837443735,30.364675392001825,32.00782480076713,34.36099047887057,35.871040796600624,32.12751297216758,30.68372742354653,34.855231313829734,33.589352039108874,28.003495812666436,31.75691196902532,36.62979344625042,31.886581435426155,30.893671585155477,34.75343162084415,35.035733154776324,30.964293111568754,32.749689708241185,30.342387982823997,35.508647298305284,30.10167223807949,32.19669890482626,36.35286200590934,38.82130911534425,42.70056372292121,43.25228522526215,44.95022301068284,43.43441663571696,45.99344882606023,44.478374418327185,46.37662689506065,44.30711729524531,38.97175399901753,41.34699583836114,42.05480125689429,37.57963010613384,36.24148934721463,38.39478199166826,35.80020694099329,32.15069591838419,32.33037392346617,31.933118809027242,36.54922857061576,39.58515667203445,40.7870762494414,44.00163389172608,47.62239568418198,45.81844023413965,41.24124382873795,44.02719938287331,45.93597378554783,41.25599162501104,39.99581764273066,43.75298371672334,43.09100995592652,39.28751779126003,42.84598741385733,44.784517737959675,41.34713366559439,40.529079975099314,43.68096533388211,41.070821123926294,43.20959357769329,41.94816270994201,43.644730134083915,42.08660147586125,37.00476397682048,38.799044419719486,38.699977189823784,35.74661978555466,33.35038486130359,37.23746275702875,34.975202478275364,30.247507549029706,31.22644057558335,34.27989609581051,31.59879041480892,27.947341645448944,24.854827252633942,25.304814966648962,21.774855153828867,26.02305802261162,22.793924958697538,25.63173766798929,25.469875459935924,20.994007511879982,20.835553334982336,19.746775131472962,20.745976998180232,25.41408053453504,24.636677191285376,27.80470080484759,26.324866223933604,26.619957071542885,31.365884595765905,33.50313453486572,34.366036447371,29.803801436380173,29.75332914361463,32.91265644615513,30.24173594458118,28.94039943073659,33.15275920762963,35.51450516202603,37.5367023576402,39.60971390367136,41.03236004542006],[26.59562637321605,24.494967443006903,25.779377355175676,20.24906451629838,22.8594626602553,25.013490747763793,25.820168214589607,30.41984550300977,29.412404990178008,28.849532401203415,31.784324487150297,35.398254398627515,33.01577583542251,30.376900433359904,35.32929433566568,36.67002434899608,33.17478751982322,36.21693099646917,35.64492119689729,38.513787404747006,40.107004703302444,43.185125527853614,42.64136301576711,40.28305484751153,38.67583341420712,35.51667289176225,35.00090299304149,32.98433114980938,36.026371131902906,37.736473355277084,41.08003338936432,42.0045320885164,45.890992219537374,48.29874433971664,45.502381838557795,42.28864702712182,42.367388620443144,40.24924650746241,38.580047085542404,43.62885596614981,38.500733166228585,40.33071264692382,44.31573440478292,42.22301286386779,40.70523712771139,38.82830448624095,41.1980450451775,43.7412848600574,41.50709471754911,44.62112913876717,47.86601298778473,47.01428103402446,49.954111231213936,46.117925714999245,52.327930045913654,53.25983986678497,49.684207084446925,51.64863232380693,55.722617305309164,54.37346077827018,50.48500350967728,52.379961012872954,51.43078182977107,51.51218945371933,48.63266607765648,46.15440370486262,42.76123502377906,41.496075676582194,37.89641426866773,37.52374638589381,35.39965753947205,37.25417915501418,40.46619073656812,42.587508951148045,43.62566569352978,49.77535658203609,48.2166916537444,52.09542194036409,50.74511015867346,50.846970403604445,49.8694665916574,48.49665926353698,47.55037258799542,46.92117904223608,42.9298062435942,43.09324541932321,44.287920489039635,46.79856144834292,45.38727267171219,49.942634039576845,47.17322977987931,50.062708009363064,47.45217890679056,46.59962925275168,42.163101060656864,42.96748921175429,38.86622230342879,42.21121901772172,40.422513046169136,43.39153728803443,43.178491397375836,42.831755742485356,42.85154056061481,41.09957451058915,42.31504881758801,37.84201582191931,40.31462233101965,37.994942950405324,34.48071620569306,36.135682591533175,31.705501137784886,31.07560660345386,28.997386111777782,27.165157034555143,27.77805862457728,25.197031291843977,28.120102006273413,26.14847689676927,30.626182696103196,31.488623603435506,28.142612122580733,26.9497819200198,22.53768605854994,22.86086312679783,23.53034088117653,23.43645885002044,25.72095260397817,27.414137049390092,29.768023982131915,34.04428965053955,31.104739489320533,35.68661971099691,35.357562966746166,38.0754199695757,32.652346806716345,29.829287145669316,26.090896746415005,24.05700071729417,21.96921703592352,26.201383170596575,24.66992671450084,29.01851283361096,30.01482575269896,29.0938841262842,32.81350105666637,33.62120314879556,30.743551903632792,32.20459312108213,32.78629560145691,31.85334978458098,34.48732693662176,35.243644795102064,39.77249652524822,40.70946384334191,41.30962650144337,40.927659151734254,37.997655177550584,38.23493639092402,37.534597557417406,36.26015518434473,33.585161112877124,36.02886694743792,31.98235406171601,36.71556771294224,35.04941953483404,30.740933707555705,33.1181261488945,32.920974577919694,30.49774042864766,27.595285681247372,29.393068364884588,29.101078255853217,33.91000409025732,36.59583049976874,38.82533465569324,41.23121770947301,40.402328874712495,45.604828111177795,43.52344321778082,44.40653244131609,41.14611609284004,38.70955370030969,40.96912698144401,42.02813468991447,39.03778837917947,41.7034089967885,40.86738902738223,43.50225964970828,39.427899564271485,41.395778061929704,40.60765818630105,39.654356779066795,38.293867539724495,36.42828338974043,36.38385592013513,35.61118293062299,31.42498201234622,33.74302616364826,31.749851889687083,32.957354327866405,35.87651946145141,37.01107790234401,33.07755313344304,32.32509109412717,36.56999769124475,34.893467411084124,29.672974941038298,33.77011635541693,38.314209470554424,33.33572560297888,32.78903049628317,36.738348095242436,36.506469998703686,32.580101487256435,34.90357560820265,32.705879597445055,38.01844453779306,33.150923033098,34.89615371752744,39.08548286116083,41.77837848116735,45.83953413576428,46.322165058972494,47.6381475350624,45.94107507310802,48.31635314782737,46.41187898379799,48.50020002575572,46.78629915844813,41.178883031320616,43.30117201371532,44.39819691751597,40.05947975270719,38.32623080048161,40.36619707928787,38.31028344151747,34.64464978269432,34.06148637478921,33.79093264919974,37.792047643632294,41.0532392937192,42.36241465238132,45.2390295428097,48.93520445815049,46.70254879693048,42.322609394639294,45.41134082154945,46.92724739601032,42.091180694251385,41.293044419165454,44.989338700788274,44.10317261954439,40.53022273222502,44.44927316762288,46.19738869225284,42.59846024031562,42.274168716210454,45.62275924960527,43.16855234041078,45.28379286025274,43.798257640202365,45.800897246659034,44.50879342729801,39.182631721208004,40.999390922977604,41.33845117409145,38.392670679044365,35.74819997229842,39.99751335555182,38.10163246936338,33.1284368971035,33.932502845079725,37.42478320946668,35.0332601698755,31.23762165595636,27.923916974394412,28.978336414990675,25.33382324628775,29.38929473468669,25.61082273079222,28.009707424610667,27.175138639083173,23.04651237056805,23.03013422785705,22.518452387800703,23.139828606652603,27.61078968462025,25.934528390575316,28.803765004581845,26.657390228568246,27.35400691847594,31.908884147461222,34.19031290420007,34.28128802587068,29.87984656207436,30.301059101071314,33.0204888321294,29.763421759067224,28.934712286851422,32.94689782260302,34.90403795778601,36.82238088351203,38.850924648353484,40.446609718950974],[23.528013364240955,21.18690448416916,22.26804828794576,16.4329931364604,18.81360400600567,21.012331844197945,21.774903764929768,26.39712525383602,25.59399915598004,25.172096764166557,28.25916377152395,31.72470202618899,29.36908895250009,27.009554083288275,32.030265133565656,33.23813017553912,29.858674652748544,33.16788543957214,33.01637741474966,35.68600326995901,37.60749907228075,40.68649104882031,40.446857986454326,38.280333176437146,36.3333709804954,33.083207737817624,32.19514184547865,29.928144347906905,32.78498743782477,34.241128864786674,37.85614340727256,38.441810915501364,42.39523471980185,44.958865463031636,42.09689864495295,39.02736794149738,38.84181641157954,37.01317481827394,35.408168130856346,40.49176922756068,35.62825247268435,37.561591620784725,41.6115938106105,39.702047094831656,38.483113178846644,36.62686732422019,39.23010235026663,41.51135032577143,38.98441793110745,42.32920559069748,45.36169055369996,44.31690659979438,47.19516747359565,43.195401672117015,49.32108427728257,50.48602133815279,46.919536296811266,48.67079673004856,52.8526640673934,51.77255378420406,47.85124096247067,49.694684854652124,48.644246733488195,49.05477092854124,46.15043671574294,43.42962137418906,40.26903790670178,38.738431406029505,35.400352426629595,34.82043870112531,32.94056334180986,35.0828757178437,37.99990386683743,40.22914150296952,40.87414931393226,47.08246695723368,45.36738183839893,49.10741005022287,47.66538220717846,47.78199137174593,46.55517404404052,45.201137421032655,43.98735041051246,43.437809558141254,39.55543359815903,39.639621938319294,41.069496463102666,43.375586815782675,42.25245399915516,46.70722184859578,44.0966045744538,47.15240175804645,44.435945323884226,43.39587729068047,38.885668764976295,39.794972049217826,35.63159811140746,38.68970984142245,36.74588377063262,39.56181107741569,39.366296315288615,38.834264111115694,38.966771779529545,37.08363253014775,38.38814658792424,33.85474576031786,36.341832802333485,34.12951905820135,30.550129745284064,32.09345002242717,27.624965883684148,27.042945073977354,24.95289154630701,23.26868744479956,24.113619809257155,21.729468999383077,24.946831915913254,23.345937499051196,28.146982607079853,28.619609849953573,25.347849759543127,23.831894403634468,19.387936917017107,19.307459570719328,19.671475096786494,19.500789724783388,21.619705794655577,23.413688584653674,25.832712530243004,30.20467744209704,27.45379067469414,32.09014284185086,31.93312051677482,34.43124691330798,29.147759959586065,26.177360426684224,22.566081477730567,20.5686220794398,18.61381917680768,22.880895044403253,22.03326497304867,26.624468705732575,27.31130667039046,26.037483727774084,29.722874172973096,30.27096919983321,27.27809055491607,28.495298825383735,28.892475868203707,27.885657491056524,30.414715721719695,31.251681182329403,35.74988835050979,36.82476805831851,37.44696714983909,36.97909320535387,34.084373158277515,34.21633254686291,33.655708751084056,32.29013059661521,29.820014388782884,32.45520922641426,28.63088825176017,33.40229112515023,31.9294191603568,27.917373712432607,30.185919070040352,30.399419252961273,27.82007910341485,24.77237333080011,26.265356502630226,25.82001996442646,30.503987753605877,33.04439765039243,35.187080746406075,37.43908559573913,36.6483051739724,41.81381448963546,39.899674675862094,40.71110072026146,37.647612910476354,34.9524150989879,37.4370543311833,38.692610183649094,35.74343679013814,38.57336314098968,37.79905184906319,40.68856513236259,36.95051929701939,38.75242267250569,38.02201959545595,36.77481816439353,35.426049057373895,33.409066165756705,33.3098003526345,32.599566346477175,28.276595575430665,30.432991055743422,28.364394762564977,29.25919049600916,32.337072363864664,33.23906906780452,29.23765381985694,28.761615715545563,32.99547252859747,31.12908748855583,26.10273643066257,30.354425551117533,34.71569897645993,29.71532675316354,29.415994304372987,33.405839797341294,32.98703989174735,29.25936948019464,31.859007848858205,29.70492487618489,35.05914123240786,30.55014510733847,31.945744941914118,36.139370548212334,38.97410775433149,43.18460008225301,43.605461355366124,44.61728815544823,42.83732692762884,45.13273567046985,43.03481100733403,45.33533962390623,43.80547737239953,38.01226097338001,40.10004320546273,41.54492108127618,37.24152197089645,35.306254603751356,37.48817122741767,35.79647078829081,31.991384869857654,31.15543552615907,30.595439010118966,34.34523089615341,37.66154169478753,38.84341209741122,41.580945120679665,45.225337373339386,42.86460562487307,38.555848318897105,41.67647052253604,43.04074434107952,38.16636051930796,37.50870247029204,41.17429496056819,40.22884375679493,36.747307304153736,40.798571363817246,42.49876400543857,38.90546203090306,38.76539828454183,42.17834315482887,39.782708840648084,41.84832635673118,40.25059920446248,42.4310248328244,41.28620574061366,35.82941249806056,37.69336519318877,38.30977012754295,35.36418593129792,32.61393977619566,37.16332502020441,35.523586638356456,30.36133643154249,31.17177487658347,35.03194132135805,32.849930215128595,28.913021765705327,25.359040005739157,27.068513901273924,23.344890384553672,27.156220718860368,22.958567153332964,24.912401612763805,23.760653790492622,19.92832423666288,19.87073350807337,19.790494726506868,20.1603027916384,24.430807618574498,22.26687171990029,25.09122211487145,22.713004977058013,23.43962785460308,27.92059643214448,30.26103822932596,30.20623466962723,25.8256374619299,26.436389599481288,29.130815497502336,25.7438557716929,25.222350122321444,29.241388438496273,31.156908110095305,33.00086263733913,35.09603183055376,36.73357134430917],[25.16533098820428,22.57078809732494,23.05583720307586,17.96240499463214,19.32644419580887,22.90302632749017,23.79757368388463,28.4340073566261,28.421746678060796,28.095487618657806,31.46597266428312,34.66491998254726,31.941149296153757,30.17077880246528,35.111606174217414,35.9054976445353,32.30373320100602,35.60584209049274,35.29649737288765,37.48777806832061,39.35344402011521,41.96588269484365,41.80890563111098,39.387750997738,37.37391510796512,34.58020550599979,33.491745348945,31.605903158870337,34.728127904403905,36.24551929834282,40.522972442658336,40.712640068467785,44.90704759741398,47.36545345203826,44.16552589424435,41.01341396773624,40.48205279248293,38.324076120356956,36.31033562655445,40.81517510148337,36.01340565493291,38.53907805230916,42.320661573742655,40.03034360682237,38.656105204661344,36.37418487027719,38.75995378368177,41.36674243309144,38.65773768997936,41.491106726208336,44.728421644117255,43.91302843686029,47.068492659762924,43.29699176931322,49.45304428639558,50.72762158493927,47.42777853255197,49.40447475916342,53.5507167881559,52.32978891117447,48.8453693764928,51.14350449768105,50.43085740712291,50.82032082088711,47.62523499981508,45.03201434968799,42.399083060909184,41.09892234109375,38.12925392310233,37.8854009879591,36.147827271803145,38.56066888283561,41.25757815635887,43.11530307283427,43.62194879609739,49.70413908616469,47.51157294086776,51.31305500290382,49.48835846573828,49.18184360963842,47.7656122382404,45.89835613964009,44.76430820709245,43.66811606404651,39.7959766689637,40.46920617715298,42.198696970948276,44.774867297646544,44.01386143951394,48.79950887485878,46.53194852114314,49.90372961829366,47.35702904939477,46.32215366032927,41.85508483908552,43.11995462242692,38.98961568613703,41.52921452752094,39.44056976902324,42.056736296816844,41.45469674202787,40.4131297963422,40.30938775489994,37.94626987070581,38.51939453095328,33.93740968735207,35.95931222212269,33.243449610696864,29.837562660695372,32.02624471451067,27.877176127893108,27.595406761373912,26.34505703050078,24.522000364806242,26.177690026161386,23.63410913550619,26.948377984377313,25.03297498338076,30.251375635420786,31.098167277443594,28.11551470293601,26.69648787727952,22.029261198973266,21.806526955799843,22.014758603604147,20.600739835114332,22.371174403585115,23.57750926519583,25.398413193757065,29.570566050979608,25.990866227061442,30.407441449662297,30.15057522786403,33.28003343011146,27.876560118862734,25.57587588118306,21.21272700020689,20.136171589834564,18.88935451422147,23.154009385508047,22.238821600892855,26.874360001041765,28.23505849241335,26.883398220917417,30.441451587185334,31.532786608873042,28.540701446473072,29.97334912497481,30.109101405599294,29.632185327227223,31.81710129981769,33.341845582000964,37.60730174988957,39.21899015070102,39.9837465188665,39.12179502095211,36.19875222517801,35.749901328070834,35.31185880686299,33.13457849015921,30.30201651170734,33.320248468970895,28.968284099302824,33.64238189996444,31.382326772110396,27.010767880968448,28.70255430400906,28.391514546642192,25.528336959277194,23.055485090420273,24.751897424626502,25.113310300664356,29.973728610559636,32.862558180143814,35.44738820740394,37.89073566393465,37.721964828387826,42.565190316151046,40.28941876845305,40.78420061144459,37.275995852190526,34.6673147478344,36.431161037333275,37.328069749372,34.57136763278885,37.757565896930906,37.503257239509594,39.8182801976562,35.92226403728547,37.286086047543805,36.127048601443406,35.110043166521905,33.27744620929778,31.213406243716214,30.91461185003702,29.837881882233305,25.702778776549923,27.990313322599413,26.02790679059042,27.699497217096592,30.41380194229307,31.99005714260595,28.262774919109788,27.172177853458226,31.53138089634742,30.398304765398702,25.09523327469307,29.081153238538082,33.92555198735127,29.52621453609954,28.916589514747496,32.87238436322013,33.128995391883684,29.529914471797948,31.617408862287935,29.023126381748877,34.17553314433797,28.769215919733373,30.255687788612,34.48115185392573,36.70450512460781,40.962920101101076,41.05563488584155,42.277371039005985,40.38464976489455,42.63872037108781,40.778641857109406,42.613398769301256,40.899255836357995,35.40014989094607,37.4065373671629,38.29950104296262,34.01725012547611,32.30741040280549,34.2280075221641,32.09561445105315,28.507764355869863,27.952019335351665,27.913845625329568,32.114441203287704,35.29673768776233,36.82834477702838,39.85983402862315,43.70676461707951,41.69337295299625,37.18761062884027,40.40581808427178,42.238674188781,37.531141349461215,36.62190671525074,40.606955461617936,40.05654034478799,36.42965646761492,40.122749369998864,42.23032507767716,39.03476590658407,38.34715945108689,41.47054918208534,38.742653686457665,40.51227341106433,38.82704276104427,40.53278957233081,39.492486814776235,34.25372485326344,35.62028183121241,35.95510978364916,33.21623919581216,30.265097903709997,34.2700813689953,32.62526241370216,27.711037925160458,28.08358449427471,31.587365838894616,29.493572408465226,25.743256201573857,22.76520239527507,23.939042661857872,20.78025585264249,25.091303872439955,21.58692334179888,23.638713079578892,23.48061035166515,19.435339932853125,18.601039929035192,17.617825105333523,17.751449363214764,22.171781435867356,20.980931745469857,23.64793951288672,22.145126960349675,23.451787328582693,27.94750125734491,30.512057658244885,31.10575280244995,26.58509996904025,27.256619303460557,30.526186851440748,27.42544834451592,27.15498485908176,31.38389867800785,33.57344722416288,35.32447782741814,37.51395298553399,39.0234697329601],[29.251943517663797,26.770929817460434,27.405226698196525,22.07798336851676,23.390728638428325,26.730187372812402,27.25092799627841,31.86675751064463,31.486950771881858,30.657813567855484,33.86497762166116,37.33914902142714,34.308823548066215,32.164740644180256,36.97851083199286,37.87933032017485,33.996413798529204,36.871071061282166,35.9258876052423,38.3426751719171,39.74666136404227,42.330054422593996,41.77705634128771,39.115310136523625,37.534567097143444,34.876089666329236,34.29842463580623,32.79685407459884,36.229380327735086,38.1990103742464,42.13631898436822,42.85698163449294,46.996181427142254,49.13163716113971,45.97622043423505,42.5578078106926,42.46035765405017,39.78436650454776,37.67927816918392,42.16964065902359,36.95941370903792,39.286370466527906,42.97579371314626,40.45901498838745,38.69733119288633,36.451146834132096,38.549279886566545,41.446718483172,39.18248642596552,41.77876108825723,45.25880946950235,44.68653927407801,47.872552323215295,44.33398398750473,50.59769302170332,51.50594129313456,48.19242930757467,50.46989740975029,54.44064288076959,52.839907358511404,49.39045824000524,51.76552136103673,51.22202575114073,51.15278906283703,47.973075946806404,45.72242132097795,42.822892588644116,41.92331069976641,38.66497291632868,38.79492862842814,36.76236142624363,38.904816011201646,41.90830004629096,43.51104949251811,44.521985058781155,50.49816308618475,48.4367447963783,52.45892751465328,50.723488492779126,50.36426751328923,49.35073709068176,47.47069990943502,46.81502387325256,45.633716015705915,41.57007098713086,42.31724250255001,43.62694336596133,46.55336393175599,45.32938830327322,50.322485466453934,47.85688202018333,51.050692972053064,48.71789647574727,48.002076904970394,43.6709724128932,44.914729167157425,40.9025295413145,43.788501271074296,41.997644527517096,45.014261524421,44.1317691942692,43.53316284057322,43.05106310860791,41.08610347393654,41.533549773876054,37.18243767877354,39.412240629850096,36.66809370864666,33.503979388257996,35.6644628192272,31.619493610090544,30.873418978655526,29.551396406870634,27.279652241421413,28.437036988903326,25.503761093788782,28.340963001439608,25.863296743199268,30.664203474951876,32.09489559362852,29.054699333936323,28.129921310341555,23.444366321604726,23.87742460565432,24.731308331520754,23.484092574697176,26.002016884432972,26.917459074875694,28.831696917421525,32.72519693168418,29.22823455523922,33.61444754623513,32.89369798859138,36.13610191435158,30.500983795505302,28.237148531560674,24.052518855066925,22.444725274341376,20.756794191923543,24.921706686944333,22.942215060182505,27.187909389157237,28.92153641574019,28.105064903656775,31.712274298749396,33.19252117550927,30.407443142712594,32.30125779526241,32.86252955158845,32.622118492572554,35.19811528410151,36.68638922765541,41.123052969117566,42.74880981047038,43.21715238223571,42.306874458714205,39.17189258999183,38.920103856699484,38.0521218561656,36.12823290591524,32.842579805075914,35.40186013131342,30.729746189363368,35.330003085046236,32.91974299626009,28.18810364032483,30.25158314502869,29.464277591721537,27.048933277082696,24.581616096350373,26.727195097103646,27.044110949806605,32.03822948437693,35.09423476657768,37.7394885551386,40.47467569794794,40.150932152732956,45.09472138802044,42.51235928823143,43.21985352459817,39.431874455249336,37.380509411438645,38.90169222910414,39.533515788503095,36.6237262918628,39.354314185123044,38.86155655749117,40.89179564988055,36.541595358750996,38.28554896849667,37.205968326512576,36.598724539126195,34.994046408252125,33.28131602917383,33.25589752604783,32.39579602540505,28.51190453284642,31.18569871947285,29.622066268696493,31.454511098347478,34.31513841172831,36.00771990643196,32.3170734573823,31.33928425688781,35.746567734108034,34.704968908390796,29.477337186976694,33.454953804401285,38.3227442535901,33.97054930534873,33.381754741887974,37.33220563618513,37.57783143977888,33.95608461132538,36.02954687455298,33.433955783351756,38.564099273168466,32.9851639426507,34.56344994627677,38.77945322596914,40.82060453882578,45.05558760203162,45.04133500292772,46.326858066903405,44.35249187483137,46.50775737983249,44.62772990528603,46.22830906301327,44.565641798521824,39.19520301027839,40.98536849538217,41.64146324094206,37.494027410921376,35.77488893239569,37.344645904663494,35.15511342183933,31.835576791844506,31.030507766907288,31.554582991055057,35.58682891649756,38.81122666619563,40.6520306707859,43.62122891276723,47.61869707968005,45.51960476058173,41.06901020169869,44.50263670571208,46.31715482207985,41.60351614898975,40.847407848803705,44.895202107699134,44.35807980276381,40.79260835122937,44.50765649741468,46.63939423188471,43.45508624223334,42.79946450049334,45.90523432204602,43.14620313237212,44.83762811457868,43.069010436986154,44.671746260002735,43.73783880344669,38.55116548834689,39.71916831256339,40.0269961240139,37.38872723426137,34.3278864067381,38.08779955863731,36.488088993156616,31.727012833577046,31.820799661298594,35.115060400787506,33.08954006205374,29.500323389492184,26.828804481514684,27.600081953665946,24.659803542113977,29.139136733312533,25.88770925729778,28.04712852349649,27.945321106696706,23.87091684621659,23.02904295056088,21.868229453992576,21.92411809829504,26.30446815322178,25.170917282150306,27.555513466597407,26.000126601653466,27.722122501542376,32.110131092717744,34.78264698777831,35.10442852343505,30.657196544753575,31.534203627340865,34.65684387420775,31.30090803399723,31.1959002924097,35.351894461930414,37.367322804371256,39.07807490742777,41.21891989358063,42.78400306492726],[28.322213350319025,25.681432967084927,26.214947660225853,20.177452118367338,20.997115262164197,23.939526788318613,23.841279221208744,28.365462695590477,27.75337019313669,26.484774797927134,29.63195895916607,33.20568513924096,29.92141548909048,27.693105792958523,32.41179566162071,33.298985361571155,29.326079600533294,32.10889458120377,31.14483055183808,33.62524531339329,35.06818926366426,37.77598295528498,37.26586150819701,34.73782115490981,33.07338089970669,30.253478669202277,29.691538138741805,28.11662504725672,31.549330510235173,33.62587752467678,37.43317202607181,38.32468872690509,42.43195490862981,44.459335777872695,41.34338159548615,37.876909830611666,37.94371787464125,35.22700398428692,33.23293635568351,37.958249356611454,32.68978173595251,34.791337000440635,38.58911733168957,36.25208519764831,34.622785739245494,32.594234847946524,34.88646841573004,37.53674457867754,35.30417729117015,38.25511352105009,41.57066309960896,40.84130214754216,43.86878621960492,40.21331361248186,46.46697819151347,47.33161289971434,43.91748881743454,46.0969592275523,50.07632337664872,48.558465343576266,44.92864692392897,47.15637753714614,46.52274276876501,46.49712345985744,43.38181538031004,41.06192375323518,38.08291586299025,37.1359691461989,33.877335840470884,34.024038501891226,32.01340151396201,34.23632658527247,37.16365571800902,38.74308075405559,39.725846326518976,45.70465364115496,43.67431568788743,47.69971974061926,46.02765730027314,45.76176068313605,44.846554477797326,43.13764200333299,42.556745117809754,41.572862125906084,37.4583241557887,37.98568984473653,39.11999214409676,42.034698282177004,40.651030582982976,45.6209821765466,43.09723173110744,46.267054617621724,43.970061942975875,43.32469570972336,39.047934024059685,40.35169505514793,36.409744678059084,39.334784974568336,37.702694670002906,40.982609770224975,39.87269520876388,39.62713608408705,38.92567913946032,37.34584565418406,37.97066875456978,33.80691923731546,36.43163613189158,33.959590156406605,30.92321009161746,32.71556384641003,28.685559374240547,27.376522224881995,25.824364868885738,23.249776135779907,24.02008076296154,20.951787882459936,23.64070661596035,21.148411909765112,25.91090195807205,27.30699886177111,24.269607413097642,23.43177583548503,18.750602359201725,19.41322724454403,20.648955962251623,19.60886459256342,22.864667206959425,23.631350100113398,25.88163350819316,29.655061456770877,26.76987860437814,31.316441061348712,30.38226999061581,33.208677127714616,27.53366442425323,24.857392129863946,21.247345045959815,18.817471809775007,16.639915926993254,20.78778341164333,18.709809726714862,22.979481170479023,24.419561335852006,23.64839866779026,27.313396442412508,28.68304724215478,25.954242625145,27.96674118568818,28.80276721208856,28.654156255015632,31.59044966839658,33.03813857580527,37.63214103077391,39.393635368484404,39.48652438287156,38.45591227720936,35.1450855788709,35.08001728563962,33.88679431045057,32.302520020636194,28.887074606224004,31.124749388618252,26.56316814299726,31.19530195815524,29.16487272031498,24.606705857626064,27.12326545537342,26.7268283734562,24.59047207763063,21.614335229622363,23.694890180898277,23.450467138783576,28.385741946919897,31.309334201676414,33.76643238302928,36.54092322882094,35.93714812209706,41.019548843998834,38.457130438078465,39.38520505917968,35.72662370248559,33.85087342701685,35.69444827003148,36.48540274314591,33.38836027809177,35.79006519567551,34.957378478255514,37.32332283367798,33.089483126648446,35.13763060008889,34.402561178077654,33.630309479382056,32.46213379422196,30.86760205309947,31.11871546767191,30.72748624159742,26.761830763506985,29.580534376034276,28.29213628375444,29.57767783775653,33.00642544307173,34.266526890423016,30.4277061075828,30.202735778868384,34.64055147692352,33.2102969182158,28.464360090013844,32.76353938741119,37.23833721121376,32.790594080489,32.71302965362399,36.724598667610756,36.493826396770764,33.180355150581455,35.794909380488996,33.372614512102295,38.59143327779387,33.64076469197026,34.705222149904046,38.92625614078862,41.18895720453043,45.660832625683206,45.526154915933155,46.29215152246848,44.105030381658395,46.032496674308994,43.705569721196724,45.573259687293934,44.34328993788837,38.658501257628814,40.18218487307411,41.381655441768515,37.40320684819675,35.22253593932644,36.7612102942212,35.295251965945205,31.9003919892954,30.25951570039414,30.738184756633434,34.03934628270705,37.47686987542473,39.35515370246706,41.935609670776685,45.97185334647723,43.44374264043717,39.223672634718305,42.951441193785406,44.35577240167726,39.522840645923985,39.25790140566728,43.2477884631364,42.528039775130374,39.23702357461477,43.28762074166181,45.260196105113536,42.013507707911636,41.843208453814015,45.10788021213837,42.49968633013075,44.09467194813786,42.05355551503768,43.98672195458498,43.39826371670004,37.96696170528577,39.12737731811273,39.974505118842906,37.37600119054026,34.0380966035555,38.243983445058745,37.1335624313242,32.09075064745631,32.01504403642342,35.8874925516332,34.25472429415129,30.485102205928868,27.52704794444553,29.17008220099177,26.11834004823133,30.28429041309737,26.41937038889559,27.93289438237318,27.188888450626568,23.632631117894025,22.807844969219104,22.320540067422343,21.89126737161077,25.907759868096576,23.781678197307624,25.78279814604837,23.59039316533478,25.81922125346966,29.91073207791158,32.767648663198116,32.37719828273065,28.130637539066367,29.58257477150077,32.3465426911613,28.452134989757326,29.062147235969526,33.016794920478354,34.65819802288213,36.17884804654749,38.31930704476206,40.03444768657553],[25.957158042527624,22.956525275517066,22.75699064693811,17.29123281366079,16.852720868871412,21.04416149743784,21.12035995359211,25.59325199677633,25.995175110622668,25.18679155679256,28.715439171950962,31.75675142734239,28.390057315836625,27.119679839824414,31.81559263976107,32.18611848298053,28.33337989503424,31.526872009298774,31.15296444346963,32.904619068352716,34.81528273240689,37.12091670815017,37.15745668846605,34.742974101932134,32.515138293823554,29.97220260568502,28.637131326029916,26.98445152830909,30.26631730024391,31.911730181068208,36.63697033952976,36.63379504024478,40.98997814902351,43.21625253149082,39.769264175394035,36.52390980970687,35.84689564407865,33.392710084503285,31.166507178924757,35.4032697167113,30.670270222295073,33.467888132525914,37.11278545628071,34.74991694954724,33.47280646942219,31.09085233752033,33.54063855126115,36.06522229190495,33.18939688442494,36.018739982790116,39.1797774733151,38.35052208332848,41.53203778085001,37.817426356285075,43.9481744707399,45.29454948585722,42.13326930777707,44.15007109246396,48.26856710471556,47.068627100733565,43.77004814343217,46.271547202697484,45.741379895309215,46.21674690977484,42.860621940330574,40.27637922441263,38.096823749454266,36.90891906881616,34.36396405186682,34.39876011009613,32.89314078387062,35.6581988844475,37.97336314020517,39.47193490641564,39.7424913832676,45.669298198140496,43.078396177922066,46.892279264092274,44.79896153385597,44.22877109829275,42.738682880904534,40.62954335242129,39.64117482481162,38.309047001446615,34.40487596819521,35.32899485616163,37.137192237849504,39.9039207848515,39.3186579128536,44.33137429750475,42.338208355054704,45.96427276549254,43.61882332153779,42.660638461232644,38.32488994519604,39.989655261492125,36.00468278158833,38.072537482444375,36.05874170855236,38.82567727964577,37.54113370639655,36.50582871414943,35.881574659629756,33.603783391585836,33.733793139674155,29.383621355427245,31.54157216345866,28.75311430666237,25.728433881535725,27.973962820602253,24.17792414736241,23.337402513018667,22.581126343922925,20.235862018566888,22.188456693755732,19.428203017630583,22.66453905377053,20.612675293988797,26.129729152217127,27.145110292204798,24.51995505971841,23.23418451912988,18.510812733285917,18.302112593873257,18.76318729897944,16.42007260141168,18.888449828061432,19.265822333528025,20.992660172447195,24.775180052835747,21.31328029568425,25.762066056509187,25.068041514492283,28.19229884622964,22.61228961926971,20.369073158729357,16.093107935170615,14.792476551102355,13.720725240159172,17.907119493476905,17.07354277980202,21.74950468529927,23.2799618701307,21.822464900000213,25.263174285687345,26.659475362044212,23.749255394858373,25.474243999427408,25.697943796554128,25.850300816524012,28.198816738016234,30.308738610732558,34.565731575765554,36.86627192594085,37.22035938046604,35.824648917669485,32.644993748433485,31.907834690743968,31.145900766716657,28.669108905868647,25.336352085810145,28.306428457680255,23.66545720025654,28.260591468798065,25.787292832496057,21.380416532657055,23.069691618187434,22.84903669489868,20.063825685713365,17.436156862341907,19.187375268466297,19.564381373074973,24.483832946266187,27.504221618678994,30.24081562510533,32.898124716106196,32.942075496303026,37.65103588117846,35.08210736847274,35.57050848668473,31.84037084722328,29.54224435236377,31.082419598430786,31.87280097474776,29.040915046705383,32.13316051579824,31.933178399282493,34.17940998761797,30.362551886809666,31.673251738526343,30.579092763676094,29.525485804482308,27.835091868818907,25.884068912607887,25.799129731180376,25.088121290573852,21.01854677708631,23.69102061060782,22.328753372889626,23.883986436337878,27.16465540697823,28.70142587038835,25.029146706031053,24.596930936892203,29.08754340198412,28.04981869849652,23.356232567654605,27.554163811893165,32.158878997427756,28.228601580315868,28.17390713837662,32.1350369423734,32.24864723646821,29.308909693456084,31.76288534464805,29.096893454438465,34.109273468758246,28.981887021489467,29.68312282064561,33.87238564456802,35.82329809041598,40.45228806830083,40.02805915012168,40.6117966169761,38.27673575030288,40.10194770275565,37.76669480007391,39.54673572552844,38.360690105891884,32.69042770016579,34.152011429290276,35.355274337036384,31.413858987207394,29.180749873723997,30.7444598266951,29.37242753387238,25.948407310259903,24.25066523785138,24.719891182875642,28.130226949182553,31.51656726840352,33.4674384342282,36.15408350436243,40.256532954661424,37.90782509130114,33.58677419630131,37.36679256952455,38.99775267852002,34.27848179061356,33.917981260135065,38.099633216782074,37.64004527757169,34.33310574629695,38.196170887221484,40.424374032805254,37.52222667806076,37.09809804220375,40.17604014936535,37.396929352999194,38.71134630629648,36.512570927085136,38.27140101248321,37.903159234381796,32.53570107814266,33.37590973844563,34.31153022142963,31.883862352275123,28.30674220962334,32.435778119528024,31.6248097164892,26.598752938998423,26.20307189670378,30.23635307608339,28.937392406075848,25.18913962584411,22.434855977999923,24.471663885243117,21.84915328247694,25.93843352242102,22.224142945469143,23.207287907707485,22.913189603365318,19.68308746332104,18.182221039107525,17.546752745590034,16.533587829059538,20.28663567503163,18.3779689798164,20.161012706875493,18.498560427425577,21.238058878715364,25.206370101744767,28.26688773703343,28.340722637437047,24.035636128129678,25.6834751509214,28.882766496043228,25.234975512996602,26.298306310046247,30.362939408260747,32.218576952649165,33.59266326659047,35.859038339946984,37.47003143647359],[29.96587741495413,27.09927377146406,27.0365881711381,21.81717323264053,21.63202207098238,25.872507764486908,25.969437308599286,30.440406948386983,30.69593296794893,29.657367529455012,33.086622532133006,36.294682999361974,32.731776595972,31.226103012620662,35.8309368016939,36.24641775122082,32.15165418898804,34.967782211111064,33.97278439140386,35.81698918003214,37.257082996985226,39.378849847803636,39.04411397679299,36.29156479210842,34.496152172166084,32.25398337138011,31.372531896902082,30.20774297415077,33.817880795839734,35.84851744013109,40.40318479023658,40.751637362478974,45.09595040595752,47.046582451239516,43.57238834051494,40.09601955709589,39.69728270193235,36.71957395595463,34.28963907442788,38.262929961871514,33.196454149770375,36.011452689883306,39.45035684367534,36.714417426533586,34.97414120816705,32.43619772662897,34.46625696407994,37.45301797087222,34.958966651131625,37.27267963841565,40.780217929087506,40.30846517414597,43.64046495111918,40.268483809981824,46.48746272918915,47.52594679692735,44.46646746912542,46.854852314908285,50.78326342279544,49.16484243520453,46.082465116492294,48.81418394229103,48.55276279430891,48.58202043405723,45.15309752132979,42.94971581051043,40.668777281526054,39.92119207794911,37.18116903374984,37.615128338735374,35.85266396817183,38.39205826743197,40.97818528312605,42.183083682012956,42.89972549805962,48.69805460722928,46.12013329959506,50.14143137435945,48.029739416698895,47.284480472218156,46.09559456055795,43.80330602607771,43.258704898663595,41.65471390743865,37.61764144351296,38.823706346520964,40.35550902252112,43.499784828290316,42.62116453252526,47.88661333150441,45.807037723271996,49.33613736030621,47.20555340385292,46.510283903295566,42.28993519463369,43.96637721727427,40.06535204136461,42.34848001013963,40.51917521913081,43.491683299869266,41.99593688891422,41.13197234418941,40.22302035898874,38.07808074374804,37.877799523677574,33.69917726207028,35.755484239747595,32.750006434249656,29.96639328492517,32.44462006643303,28.83695386341737,27.90628623227848,27.307317141874744,24.710917461988267,26.426786612021523,23.358377327347096,26.172361581766673,23.526750635222307,28.702867427069688,30.358591932798916,27.722313425543334,26.885980160924046,22.125584697201923,22.44539903884629,23.325014841120883,21.002765829661506,23.69769034673598,23.81937473620801,25.33700696022848,28.80065344855404,25.02353980416202,29.231308213619872,28.170769928694153,31.69863386068741,25.974222992136443,24.155552474110817,19.753903000289593,18.532837827754424,17.36703265342537,21.340304124124106,19.40814309395739,23.629937313157175,25.804756043933914,24.872700784982953,28.27938801323383,30.198666599171155,27.498287095786065,29.633347226612194,30.097846891289944,30.493936226505998,32.963045634587345,35.12654836715451,39.40871700913381,41.72093548434807,42.006319595514256,40.57299012893823,37.29550550965567,36.5754905295391,35.590492454481335,33.09481051199559,29.373940695356502,32.070357803608964,27.01981180294609,31.451967027052383,28.513939141818916,23.623884993031485,25.334529952469364,24.293626530990768,21.810151346920566,19.629726511324908,21.91875135726098,22.691931287841975,27.72504920813983,31.003413399655543,33.939637647328446,36.86984970684759,37.00519638570212,41.65015640661419,38.729828127439454,39.25642086047933,35.13933482391427,33.35002481612025,34.33448029240324,34.70110564786216,31.875562245963373,34.714305695544795,34.54875810238223,36.21571125865948,31.87831736537074,33.31934132812778,32.049053742837835,31.545222935254667,29.781326153430545,28.142405315949166,28.157860912482477,27.359142699652008,23.690576827530062,26.666333026416275,25.595265566895534,27.720533500886784,30.727525614267982,32.70200412687208,29.232206286551182,28.401638833590404,32.8990915178167,32.27426865871659,27.381635153090574,31.33129706170925,36.21476046115113,32.480274133655705,32.128830323766095,36.04362371089875,36.48881565488548,33.386954316973274,35.48573170494306,32.660580670745226,37.58551268960517,31.839995872532334,32.89477183071679,37.075300706514625,38.63980122207713,43.14429182833844,42.610241417326264,43.52990973981078,41.201247930311084,43.02456392446354,40.939673014432444,42.26913296343943,40.896895225006986,35.583518952229404,36.94359631750714,37.53803811675557,33.667585768911934,31.710269922012078,32.88233272775438,31.014529067059648,27.949344590212018,26.50231625931256,27.655298914001637,31.333445151596546,34.59197943663495,36.87464968839812,39.72927390880147,43.966270760981814,41.82570955181607,37.44233843128794,41.26743511964892,43.155938466611886,38.55388546335464,38.04804016866778,42.34482903436674,42.05569970272862,38.66119004187716,42.301579490323554,44.68975622954602,41.902615298331796,41.182391192913414,44.11146681504326,41.18052275748222,42.413257011812455,40.263057660828714,41.67005582422781,41.25722795836138,36.11504380202568,36.68174814322104,37.27246734327001,34.964506711327,31.40302408262013,34.9588826310485,33.95891667542688,29.26739868624831,28.61357871168312,32.084352929986316,30.68795663402672,27.20853983520059,24.983384625511267,26.125986960626125,23.83891382002236,28.348218864137166,25.25401261741673,26.71016475568924,26.94792780871488,23.352663842625443,21.761464458510574,20.44843456076958,19.644496670916734,23.578164885682988,22.479117579477116,24.172461807321127,22.983910059531386,25.811758442546207,29.811056365168284,32.8681808232878,33.15507869716529,28.830595941194872,30.33314057694921,33.645411562262176,30.104182287209884,30.943173073175213,35.07498382505687,36.99798721811779,38.423374302078635,40.65761972931868,42.22790734905593],[33.45511765413063,30.745344962731167,31.057484739312667,25.193786896272766,25.361739504832453,28.75802659848464,28.339138691423468,32.74283222749701,32.26078860699852,30.557563838429196,33.65273811855623,37.260083191706336,33.46077293827042,31.30909418305564,35.72075619914651,36.405852145444754,32.076750300156945,34.327849116242604,32.6035608073776,34.918354745724606,35.80046575749506,38.098617352863364,37.23726434391706,34.32048635552024,33.098486111436905,30.811671416430485,30.676978539796757,29.831918170126503,33.68596593613476,36.24450935345481,40.07354157674717,41.242880893638095,45.395701122204215,46.969845581292745,43.709412105223095,39.95428491660143,40.25800528683608,36.80447948580036,34.48197323171788,38.72715182385739,33.144081432032245,35.37361819693964,38.82536340168224,36.030055516318036,33.906383033085994,31.679704729122648,33.4858548185262,36.61535917784425,34.79370104046876,37.13599009456443,40.79329490783944,40.47579048478875,43.6633865378304,40.45561267523463,46.76766286577001,47.288848279651305,44.068986258031096,46.699636711215035,50.41991747995831,48.418971926388195,45.15170432448387,47.74238017404146,47.52867224290506,47.00873145445961,43.743414168883696,41.905201983639614,39.070136634491824,38.72658315840232,35.50861484476893,36.29022743091099,34.13512251843254,36.25246656678874,39.25181457181811,40.257112636715604,41.63536742786478,47.32490910011333,45.110438846251384,49.36284431698765,47.53728820033652,46.929096871397135,46.33780302373684,44.30607932476217,44.31695381370261,42.9142016089455,38.65508012737175,39.62518362419563,40.469401396034364,43.90206040483925,42.279306676431524,47.63230410511915,45.17320024945987,48.344489048503824,46.42775885262366,46.133427220293726,42.09637447777418,43.623445232101574,39.894071338611205,42.76337299881954,41.37971491511859,44.92542287355415,43.231746184991174,43.15723379063018,41.88132713695424,40.4828029762718,40.514485117057134,36.667010350054746,39.23126205070914,36.50211288400511,33.90801872299799,35.97710610464022,32.33395975614696,30.700321561361896,29.61736235116623,26.565722577767055,27.290485258840395,23.845499776659665,25.964937911300623,22.76536936670898,27.172936719270982,29.410055718466428,26.63698884451367,26.411866782998768,21.798029806723413,22.987810151115713,24.707359083878934,23.132819539725663,26.833924101210698,26.920219007006235,28.86738042320593,32.10382627234788,28.966345295787672,33.255467589833714,31.73603332597627,34.94805665482248,29.08143203371012,26.903060733370864,23.246784346613858,20.854064721897892,18.767284753562592,22.524755056129802,19.288313643038844,22.919460032196255,25.188416526823367,24.996785070372848,28.494645416344277,30.611726269433706,28.202854885439745,30.79236155286068,31.904582301263073,32.353260656626766,35.44301127812224,37.2642176750634,41.83989322328693,43.97046894557815,43.80029773344533,42.451311364713355,38.92977406061338,38.70984683874063,37.13318078145418,35.35630362142794,31.295669448970845,33.19511268348603,28.077632613158322,32.42701272978407,29.801940402141376,24.75760300624973,27.305639427062964,26.084340650924393,24.41416594152364,21.855082185812865,24.48675772774817,24.648988966528567,29.66424504646732,32.90358713619227,35.63588275415958,38.80278918957605,38.42082321600095,43.327577445945025,40.2356470432676,41.20097137911563,37.02606845441713,35.881775959866665,37.00678344434777,37.28354522206617,34.168607417694716,36.19114107671664,35.40541331197073,37.071367234496066,32.30614022364786,34.50823420887367,33.65501158082916,33.49244796026287,32.37508421507303,31.21039281736721,31.693585961098133,31.424084466398885,27.940617553819003,31.21331046719883,30.50013065218449,32.28634473789926,35.69454099753823,37.377269670617835,33.7763730216729,33.44395745727754,37.949149651601076,36.99117530220302,32.30952040625916,36.4575656174433,41.11796200048517,37.09714842399301,36.96161923199262,40.93469333699815,40.99912434864485,37.82557779383159,40.23036671966597,37.59554292079367,42.66633650719582,37.20354449969734,38.26573627238292,42.465950144819615,44.213276352262234,48.7285265673555,48.243792575533995,49.052261082087284,46.66644224192358,48.38572182775445,46.090911189302076,47.4691014014427,46.30845743933304,40.91751549691997,42.075471506335035,42.80896947468219,39.084685595337874,36.94080412817843,37.91057798648176,36.33541670709452,33.395618992174,31.474451984816643,32.845995990492945,36.02022402432896,39.41276388820101,41.81981808571233,44.399560410338054,48.69129110305592,46.22114205479415,42.031674986604536,46.070057782867146,47.64706231778099,42.93622773948693,42.77658806306504,46.983307013190824,46.49138877255092,43.25504176506179,47.150766085179846,49.3552916551064,46.3741063293635,46.00589975383522,49.09366884462468,46.29783897380793,47.59423429180173,45.36066420636576,46.957463345791766,46.63882305414374,41.37564710160844,42.01526032696075,42.79359779888891,40.45932181316739,36.85464821033073,40.54417631280415,39.630252566950155,34.874128153752544,34.20912477759881,37.75809551386257,36.39271244099513,32.898293210287115,30.545707765566547,31.712239337152308,29.214752881888337,33.68602839735488,30.33499816196786,31.8397335633327,31.593976849653277,28.022869228717713,26.78170967764308,25.785999467160167,25.062570871148324,28.956849470432882,27.307005991521713,28.82482254066694,27.061767560373017,30.041141758715998,33.925751828926614,37.01621548220838,36.6417514633444,32.47422078258231,34.22264688765779,37.10936708667635,33.112063494059434,34.11978993660671,38.0721344557851,39.648964780330175,41.03441025757336,43.178406752104195,44.88391515200962],[30.89912462505559,27.9165145924744,27.75098090297883,21.74105137975494,20.75462400774417,24.374142273977455,23.44462670573495,27.651934825554914,27.558718456242808,25.70458185819422,28.96137901992985,32.31394679594394,28.212819771989558,26.601512602228517,30.896890330662355,31.228173276028773,26.868167701608822,29.311240627120718,27.972901480087668,29.867054977461752,31.146056927811312,33.32988069809173,32.912612936566255,30.21109282129768,28.44911740149666,26.137695383779555,25.45668791168075,24.473646841562985,28.27105187607363,30.673356851467585,34.99514369145985,35.74411143622196,40.033897743200924,41.64868050290569,38.201912655917226,34.53378493465092,34.50967163262706,31.169385987944903,28.783259446733116,32.996915343750054,27.654370848674414,30.155200574498743,33.666048063402904,31.02971959317758,29.291783060364146,27.02665930413341,29.21098210714249,31.997764099246787,29.71237690766022,32.41072202225329,35.80464292118797,35.23032032038352,38.37643570087036,34.95984489253543,41.22646124125377,42.051370084650145,38.86953937253566,41.28719406102528,45.14654920138833,43.464811970594376,40.19554959625429,42.82114929904507,42.562187088596936,42.45870041431223,39.07914567068502,36.9456284999236,34.55920373481743,33.97128970222248,31.229529688563293,31.934434454010894,30.148674247777844,32.73973694033384,35.24142583446794,36.200191377603396,37.04356411026613,42.7404131809779,40.171368983091405,44.29238909109024,42.24411083423418,41.536391050046376,40.64220154074233,38.516410419834806,38.321310700809725,36.893623990366024,32.69131659962401,33.698147153388405,34.82008747437704,38.15311972165289,36.89945339797229,42.27204573343921,40.09860224105327,43.566118071101066,41.62756518782732,41.178641508265414,37.142183701103285,38.96057771163411,35.26651487351334,37.615474988613094,36.14049344960481,39.60571832779537,37.590006645931325,37.36772567984467,35.92215362180935,34.47929254822021,34.37701675197288,30.62477713876422,33.29713959526922,30.666396809803295,28.250560920519177,30.200444231143045,26.76835246970925,24.824237177939096,24.02143710006209,20.763752253133575,21.808617886294215,18.36805548379137,20.668335503723245,17.666564709729464,22.660873651471544,24.618795825114304,22.11827802178707,21.693990670067787,17.037193737535574,17.954396662330307,19.63837435054958,17.45507496432811,21.489840979274195,21.11848734202259,23.0674211169512,26.110166108334194,23.298242815100966,27.643216050608864,26.02519740450596,28.982174213811884,23.12371276418894,20.78658797596117,17.409616453378085,14.703244861078595,12.677025096608766,16.462065653438003,13.749406888230062,17.83094826874488,19.91196645081971,19.300962363738304,22.771692470544206,24.84229749230057,22.363763483310034,24.948729771090782,25.982489790023504,26.74575025253428,29.829407929461087,32.005062337778114,36.49559442320976,39.06218992292102,38.70133913565815,37.021179025227255,33.42233209609218,32.971124220647454,31.330381351088278,29.342523785477255,25.16190782186234,27.178642783925717,22.048224948148473,26.45531139488974,23.905297882709924,19.040139655660752,21.62133525936269,20.92938923300522,19.15051268820882,16.180608746191286,18.621802555349795,18.553118097880137,23.563251857603387,26.76108092994502,29.496572157748727,32.64980127592772,32.39286431599144,37.21605412594048,34.13015560342004,35.04621120558012,30.93807733439687,29.722230189362683,30.98576281833003,31.429057903335597,28.26472165438367,30.3966815697285,29.656465829031337,31.63488220864804,27.237548336174022,29.294023781724487,28.5705896843526,28.025470187654296,27.03975047370627,25.776853125038187,26.360720906766282,26.4023479155152,22.81366296356702,26.135756354819414,25.692073634707928,27.069307649292355,30.89753595813509,32.299291493210696,28.708598654182925,28.985127114669204,33.46904644225596,32.382035962169134,28.263182811243606,32.5619168794137,36.86568696865764,33.09789078935623,33.42719825581172,37.367178580522136,37.19496668310062,34.53354365257272,37.28500687048938,34.711314287418986,39.68576523855149,34.75237891850823,35.17317554739393,39.30634249794326,41.083488033084464,45.84507512191606,45.12395431143415,45.3637100579335,42.73564033324807,44.18650796582699,41.49259365411366,43.079304365964695,42.34738294654484,36.71411075877361,37.58806574488726,38.84484513531033,35.3228102512267,32.742167912079516,33.70233836848289,32.88335230851602,29.87974574216582,27.161532543013102,28.465069668001586,30.94190316959638,34.48106644014724,36.934859798514076,39.18276390761143,43.51234962185046,40.754648291921654,36.76058725758548,41.06624298935884,42.37232555646789,37.65264590063067,37.90127172743504,42.11654601986887,41.604816377131385,38.64397193755505,42.70008312372556,44.877616108840606,42.05626138358563,41.98721626658959,45.086948525623725,42.36424359878952,43.416886325103484,40.87741849408192,42.673217399483775,42.77972784904463,37.38700703821336,37.850212680710996,39.15646269845256,36.967922092893936,33.04697452225853,37.06296737010716,36.743996448851846,31.80680925445629,30.85283345117208,34.96410398159709,34.11809628553027,30.516679705212987,28.04601635053823,30.133660273601773,27.765879923214065,31.858297701233727,28.122240775715635,28.791150167486215,28.228558114857872,25.35200493005497,23.830751109809395,23.354104285493424,21.96434181062196,25.275323648062276,22.883365045098046,23.838963485377008,21.798728212722192,25.517675142008134,28.960757336982663,32.288840764028485,31.51123737974777,27.57492851617797,29.940209893378203,32.692260728812855,28.397787058202315,30.29998762919703,34.07682893425934,35.421145009168264,36.532308741923046,38.72573044995784,40.49025264704232],[32.06156022612842,28.967222688997065,28.459809601146105,22.975171701229865,21.415303999783752,25.78027656757701,25.00443962671353,29.1399080590195,29.584721598905627,27.923123645626603,31.322976918275394,34.41771718523348,30.201723616613805,29.061156925431888,33.253078780207964,33.28783240582044,28.91261697738344,31.359174086230162,30.033612926578954,31.476004745140997,32.74341395592984,34.503371384461516,34.21439601735482,31.38660594203349,29.549098276422715,27.67398710779844,26.77473867089664,26.08594907683165,29.94016555481262,32.27419076410909,37.046070588253755,37.42770521284191,41.84107181326844,43.40243177936358,39.7439111719982,36.10233581161407,35.761754606561965,32.27870922256825,29.612952094447046,33.25595243750071,28.10142900580782,31.089130012843782,34.314875306033045,31.415500796573436,29.61173301225327,26.991229145711944,28.96796951033654,31.983811902371308,29.52145981700107,31.741726911041003,35.26298631868562,34.87714771184528,38.226995170588964,35.028489013625816,41.243662514901075,42.186398403199895,39.26788569797843,41.81962888714911,45.62497270903421,43.882482136676984,41.00739403887928,43.96133917349954,43.95360774227596,43.891728000277105,40.322196315530405,38.2808309405965,36.386535178864285,35.92979888838062,33.55529795015367,34.42167544712888,32.813279858472185,35.5707231622793,37.84034253407163,38.564664088757,39.22348820388762,44.76464101881522,41.85386986686911,45.943337656333966,43.61499390225741,42.58891934809055,41.51210935059749,38.997227988964696,38.83064097668266,36.97844192231154,32.85223812672353,34.330317825450436,35.719732479097395,39.1846834648086,38.2847405486222,43.814908745750294,41.94908081413929,45.62831956681267,43.80349665769207,43.31850510932002,39.34050435086094,41.37492800620835,37.72456648555669,39.65431596421419,38.05670880254904,41.29667607063563,39.05423827335467,38.42670073562292,36.85393875560791,35.04491919121464,34.379268084688405,30.64988160062079,32.928685321013106,29.950364805388862,27.745275432047755,30.138441606212673,27.025767117972286,25.3424858480252,25.1850061171139,21.97590459984288,23.639708795910963,20.295105074063056,22.644272481448088,19.64063876296014,24.79245228248103,26.865573714473904,24.660736217982596,24.217718817032548,19.61907343102593,20.2567381946161,21.6372885841234,18.687696027964048,22.260715420271985,21.45641258809988,22.874853631819718,25.648671200560248,22.24882678194269,26.32934914966004,24.576287047346625,28.020276221964366,22.140720692857517,20.457802400895062,16.560614564926844,14.788728276279734,13.619942912179052,17.13971259296941,14.62795748052598,18.540285523842982,21.124269588254922,20.405325769408147,23.61724910124363,26.043973394009697,23.623596550449758,26.241040517034254,27.003695298119137,28.11287735344034,30.85608749815169,33.46964047451091,37.73096612284762,40.6251591534641,40.39508369711707,38.4749821709496,34.92670547511119,34.053479837809924,32.56776925992128,29.986643458392948,25.63341464824231,27.947066677718304,22.53245241024676,26.736433477660253,23.533644761433163,18.445981924882958,20.397199414244156,19.186067271273167,17.16658071115605,14.81766499624991,17.449565818763464,18.171254087654138,23.204743897249703,26.64110904280369,29.698727400081406,32.94283455974063,33.19565760765779,37.68642851505224,34.368166098371425,35.002226204588744,30.58544974382403,29.458203883263288,30.096779451124902,30.22469390236361,27.253873606108847,29.67942479120389,29.422889215639483,30.880417642503502,26.41526353914094,28.02405210354738,26.913403522083545,26.57629359726253,25.17241956451282,23.902931706789694,24.35310108023206,24.15650752792866,20.807822007611847,24.288751226932284,24.071695523919324,25.992024566453843,29.55917532952587,31.414701415070844,28.09223942783599,28.01794046147688,32.514081199414065,31.945763129774473,27.797049676592287,31.854622829463228,36.371394697802934,33.078812213703706,33.2580506398397,37.116341152332595,37.34695319302897,34.839226171963546,37.281667394293194,34.48404230854492,39.25146570112145,33.89108385816741,34.264715201359785,38.34557992636464,39.67360551846679,44.4548885082213,43.461013141443125,43.75616064610308,41.020767530578574,42.37098074056212,39.80718858359504,41.03595855064975,40.255460598194496,34.86947401269799,35.586517738717816,36.46844027100094,33.063347214247955,30.58994979168367,31.259406053456363,30.26136760800493,27.51513394681765,24.79912475723573,26.617544541225026,29.25284880823335,32.67751480115566,35.42545934018804,37.820037185346244,42.28335023136103,39.766985928409426,35.69237572724284,40.07679154160209,41.67818048234575,37.12542904245885,37.24434542440684,41.6432026847098,41.406802045801115,38.40534315169861,42.19535142246767,44.6261251440171,42.10669759406832,41.709606625838944,44.590389602285896,41.67886114626935,42.48306725739163,39.86001406091554,41.31991157344705,41.574003476913894,36.37987323877005,36.437377099574505,37.61523638378901,35.639123475473056,31.563020576287176,35.15258578959703,34.967644849160685,30.277276024536505,28.90739423282243,32.780022905627966,32.15500826403274,28.765373405864967,26.781092227706267,28.607642886691682,26.744937593690615,30.97446572301783,27.709039547736847,28.29360678558695,28.3088782626349,25.46046618836376,23.49742873712426,22.568699361234714,20.908498247959844,24.064634718386312,22.299888227195503,22.984144362610024,21.621244390303232,25.72418619345139,29.0629768145942,32.50354248741534,32.14573424693857,28.19438000661137,30.581229751272197,33.648704435206106,29.602501068343464,31.616413720166854,35.48199031444371,36.99462400558826,38.048977994950654,40.28945928558371,41.956886247899284],[35.660629403057975,32.64253081804552,32.286620322993706,26.695133718935757,25.35675606578372,29.526054925152962,28.613492323117004,32.715448793400746,32.89281281976888,30.913874659907734,34.151421830710966,37.42209747216478,33.01638872102757,31.604561944555897,35.62973657455947,35.731811602609184,31.17029071684399,33.17367372667869,31.237140064117384,32.80571288494502,33.57070320117031,35.190255039814424,34.50546652755056,31.412242144015508,30.06035145121262,28.455412576147168,28.08667511552318,27.86290269488482,31.95519638046626,34.670037484439256,39.11668735852043,39.935723225193094,44.26743388477577,45.511172349790336,41.90052032832696,38.051154059216664,38.08887751952068,34.13440081841436,31.38339185351998,34.85472832553915,29.386986633270368,32.18817457945447,35.21552743222786,32.0539113580572,29.823614422315217,27.208717561489873,28.777282751279763,32.13924638165356,30.190896790269726,32.01582306168042,35.791071231191054,35.714895063746404,39.094270289187605,36.226718510142405,42.47254342340277,43.0345673263212,40.17054269339009,43.04474549536912,46.62312876013761,44.48256985421155,41.747913850930594,44.82446795678257,45.03963756675341,44.51769561157327,40.95094275394391,39.30426187594408,37.25424036666641,37.23505328168511,34.67198421848128,35.9251910288155,34.08574477812811,36.5927357212051,39.083876658306146,39.502039688765684,40.61187274209256,45.97346738469991,43.14864318087997,47.41735487220534,45.14640052539131,44.02105969023827,43.32972389369944,40.7709809652572,41.08635522585212,39.11926223009621,34.88004941650472,36.47193274797511,37.45708185154299,41.24448521337038,39.95305638308317,45.655786706394466,43.66600859242294,47.18118294270074,45.59386733367792,45.40409551658664,41.59165949098344,43.6164836075131,40.104026193047645,42.27515879912698,40.93179674082839,44.452471866533706,41.987778450890985,41.700203950502264,39.82295844339086,38.34003080139542,37.53033075942503,34.058000241879554,36.42198412881102,33.43723398486062,31.460581646178788,33.8316007498092,30.840014459070172,28.905542617017463,28.699404581579003,25.25526438808935,26.489315396929214,22.91537652884332,24.755694222633974,21.27933121252291,25.878173836034325,28.525251498300765,26.353851101493465,26.37628725474329,21.886978752496233,23.038408589060055,24.848699083148897,22.149054082207314,26.071169800884814,25.148503808408805,26.571615103747895,29.054902286076555,25.751386672903987,29.65089185729302,27.54753693105038,31.0573609707818,25.160353957378348,23.65061381622055,20.046362793195204,18.015440122624604,16.564837653717024,19.732340266759238,16.193201159697384,19.402334350845173,22.43183752127592,22.31576399367017,25.435927603573035,28.242032000778735,26.09550263362004,29.065359764824734,30.1536073671594,31.427980051442805,34.403467683754116,36.95919707765791,41.30213762416468,44.183184696531356,43.7597188121424,41.814807178923836,38.14227110410682,37.4146180852448,35.61822014494615,33.25077609757226,28.604509570637877,30.461724083479073,24.85863829983174,28.829317286590513,25.47383786621833,20.154111660198033,22.35544739103598,20.550709502488,19.156851430557598,17.079579234303164,20.05072679269119,20.77708408362616,25.719062248142997,29.23656326988052,32.310707952048666,35.770370555312255,35.93089399653338,40.406627126508624,36.82430143517409,37.61534598313739,32.97571804088496,32.415259427249964,32.734306334693485,32.55194026487873,29.53246320997821,31.455030658393135,31.022237932549654,32.04690917878269,27.137241292175673,29.077194035429606,28.01914835749287,28.198229482669085,27.02530609027254,26.177145864067533,26.864658525431842,26.83182395385724,23.87676393732595,27.557253673647008,27.632252404403225,29.71507832726089,33.24466479703463,35.225422390875906,31.98957248697228,31.877249197032707,36.363263485025605,35.91060487858628,31.741362278557997,35.7382083734507,40.31763008855194,37.05511896236487,37.165915183430116,41.02358341298808,41.30649656007256,38.715141027627446,41.088227841461915,38.25714250869315,43.025489045397485,37.444904400532884,37.96671406745118,42.04489057382103,43.208884165990526,47.94051675444177,46.8697999205839,47.27022555150719,44.50203302430577,45.782503335090524,43.27527062219462,44.25055386556277,43.47641844340939,38.29157671825082,38.84803463486289,39.44116170134303,36.17959234399773,33.79421837034698,34.14429147303273,33.02369108894159,30.564938628933437,27.819566811553777,30.073734527328654,32.62854229332303,35.995292621377516,38.96785765366167,41.330723104500855,45.87631831453439,43.366920549515,39.35571158535197,43.8378307755319,45.46619943059309,40.96405020353261,41.13577306371737,45.566296938296134,45.3662339609442,42.38552036227867,46.13672895208757,48.602471857611604,46.10323784460921,45.6672134025596,48.51308185032944,45.560462935849316,46.31448125776198,43.670925527954644,44.99590648547753,45.29331440295042,40.18814428880521,40.09863345820182,41.175710141896765,39.27724252982029,35.18625805154808,38.49932346897411,38.28663960595094,33.765721257964906,32.239271230272315,35.83344806165661,35.21557683815558,31.979772741555198,30.230874638010814,31.65276798174134,29.91172439727546,34.32339410165137,31.264373310948404,32.06578515642291,32.18944623842569,29.172005020003724,27.253931250281866,26.115559493115295,24.575766872097542,27.79999808252162,26.25635051704322,26.853590172044935,25.55656228393906,29.721005812479692,33.03757056384388,36.49256884046724,36.03677120942436,32.130667476547714,34.53388525281449,37.54072029541396,33.40255537993179,35.39051090208827,39.24350894735066,40.68297497578893,41.736751254380174,43.93910601518753,45.62890313086909],[35.24907368721613,32.248971460518405,31.981138604932777,25.901045971672083,24.428986691343955,27.912056223952064,26.44035714763394,30.345569926987647,30.13361563771437,27.67980397924942,30.711058808467733,34.10818591523894,29.511722640017762,27.890464512516175,31.719042881481972,31.884724192012243,27.23066534939551,28.9937182703947,26.868419830951755,28.64261253050684,29.33356377689986,31.188742231830343,30.422958087981392,27.43160816463185,26.10105499579662,24.24732030889808,24.085710266564895,23.85347954101898,27.999077485936898,30.927931918721544,35.02905170554771,36.20727636837038,40.429412922314484,41.516577098399964,38.02892447501478,34.08739202435755,34.46283985773361,30.401974751419846,27.818334620236676,31.693462682994312,26.002925228395423,28.390597921410937,31.60600745564051,28.652247749730478,26.486665653266332,24.21817214895301,26.035983691986228,29.123462182894684,27.34480045098552,29.69316658180027,33.30210058965909,33.0363043383924,36.19514880633657,33.16078673264938,39.4473985236731,39.86849208227765,36.79717009046808,39.5838734631856,43.17135723261436,41.0642498567461,38.011242755765885,40.85884029823321,40.93927684209302,40.35962788038501,36.90908401424583,35.23152457409,32.91181978614692,32.90982229588335,30.214551899983235,31.546398279204944,29.646079557142478,32.1141081660254,34.62001221502442,35.000809611770244,36.23302128907541,41.597401648155284,38.92783894356126,43.24674402726496,41.139697888963774,40.19267607723441,39.729834388483575,37.46114942064898,37.928489727099375,36.280672908300076,31.937715159506833,33.17776493588656,33.8191110915276,37.62262311358354,35.98220655801899,41.64707722162278,39.482779889881556,42.86940466136655,41.33386293823222,41.283929533453836,37.56810695817592,39.57159437741583,36.18289935560664,38.53063061999261,37.436985686858414,41.27726156402258,38.654863127284045,38.881292108785836,36.79615796555162,35.858965511610414,35.37661176347509,32.14360939255377,34.99006446044767,32.39929106589196,30.519708769760584,32.38400598577638,29.377754628916474,26.84148454892813,26.271149795815706,22.526038808109725,23.110854784745282,19.369871302783995,20.804955437797766,17.138620178361236,21.48790400580479,24.265001664469562,22.105039936074313,22.402245293687546,18.093298031075708,19.68085396658233,22.001734063844463,19.7424034266129,24.422547914711863,23.441871627737978,25.282397228194704,27.635243062924616,25.161222573186468,29.220213114619064,26.949238339263392,29.86264374508682,23.980321211953115,21.905270403843865,19.172338565947772,16.011382449883094,13.806807217770691,16.772935776504497,12.63609361684661,15.7588293611438,18.517114303629423,18.67137669112453,21.90045853012309,24.624448462553797,22.620271266110983,25.797808270276526,27.299610594489245,28.61625043251871,32.01015660269332,34.35839062971809,38.8541929583196,41.70141932142515,40.89383394474439,38.93682737488534,35.112760507672014,34.71169798404688,32.52032970440341,30.709014961278683,25.951840470739096,27.27406143265798,21.812853658684112,25.821851559782438,23.03862766732483,17.898770755119894,20.911222613044423,19.670167776497586,18.783495172729488,15.943707091295874,18.82720259256146,18.677648168628373,23.516873760838898,26.83296437730668,29.612943489851922,33.117038670212644,32.82988619106691,37.525040682000046,33.99576697856405,35.12531990948338,30.68565950319738,30.37525196432588,31.172346767261995,31.222160739748865,27.94003719984691,29.334298827161753,28.3358598624071,29.844508240322416,24.990612244758257,27.501082632853517,26.978447963819224,26.958287818255297,26.442338345852598,25.769413844939695,26.801750082979403,27.321227083053913,24.271669886570013,27.969082251376374,28.20161536591785,29.606138917618964,33.637395260606105,35.08056934640365,31.68064440673165,32.27873182237626,36.71760773895206,35.781141153750795,32.037270098805216,36.2889018026187,40.45049697779542,36.967521082693416,37.48005300811689,41.36599724622902,41.153448363819585,38.730174891301544,41.55235009584493,38.96352678773909,43.83655295340589,38.89374223584859,39.1218804434495,43.19164096017201,44.70667549545754,49.5507410426919,48.54598302616944,48.56914185487167,45.723390990044535,46.87885171672141,44.002568703376355,45.327045918942424,44.89893160136417,39.41678054554292,39.83731894804273,41.00237978026655,37.83769698849437,35.09112495309811,35.54343118352336,35.05932508042076,32.451081806592235,29.123242698619237,31.09228089576934,32.96373466918565,36.51198157890774,39.3703641116209,41.342194632031735,45.83314385853826,42.89823715428687,39.144925028468215,43.791694343798966,44.96599561254261,40.346784293782065,40.954454008229604,45.224740672525535,44.77763642037977,42.05031206460075,46.118834420460196,48.34113279130958,45.692186161290756,45.7410539217944,48.76889902033009,46.02798617510646,46.82021694654403,44.04051670017584,45.7392643263826,46.209028896899255,40.89082063212447,40.97614659669036,42.475232102548425,40.519655223144326,36.35723093328431,40.13944417648946,40.18273830820599,35.40386731529243,33.98797611128077,38.04386327939861,37.56022950685585,34.13291385474433,31.985090772725854,34.02699444222119,31.96577879824653,36.091946121596244,32.490844298063536,32.94713368104684,32.4213728055896,29.76244133860039,28.08954144999432,27.561972540018584,25.899238978559385,28.890048662972287,26.448813362994073,26.819941972696192,24.822293280587374,29.17350053918,32.21837751509823,35.7160950427672,34.55128458912484,30.90010661940059,33.6863591816987,36.24773568888211,31.6882601717779,34.13837395336538,37.73017606456951,38.79103707084831,39.69530441517736,41.83370697347614,43.646977212466155],[33.789276660106275,30.608092917154227,29.83997435454603,24.201214645537842,21.706813778056354,25.80880945486066,24.25041541185772,27.955264637165914,28.449333120461365,26.227581015069408,29.486480322084784,32.45369842234416,27.735999277865712,26.895085520695723,30.626120616747457,30.348255796912923,25.78975918672609,27.85020832096557,26.258319041398327,27.355626727515755,28.487136083028858,29.982747308925283,29.75722570768892,26.933583325605024,25.01972172391655,23.415932623924682,22.50197429766086,22.22705020825423,26.24627412865979,28.84555564733127,33.69204222874205,34.156632322476504,38.56849527732734,39.777525842983195,36.014798460609995,32.249008028231614,32.02041964226731,28.124919028401166,25.314685624975876,28.765900957546233,23.511220706706943,26.553409842276658,29.63963254123166,26.68241046266022,24.88585789716619,22.295536724753337,24.32518103495903,27.24601302213377,24.817583908351683,27.12963632101241,30.589146240704075,30.212297661111936,33.50567767393458,30.38337676133138,36.5927659947615,37.4499538823613,34.59684967670809,37.22667433736804,40.94510779851772,39.14218544855433,36.35242890293629,39.42047342634147,39.57530318653832,39.46307967950393,35.81224223702032,33.875973219200816,32.27987565279132,32.0458008075567,30.003024074144367,31.217115497199867,29.772827933782203,32.69127737816432,34.64637382678595,34.9742083676333,35.56481020408827,40.866426961558865,37.71973503057845,41.84635561736744,39.38081441856582,38.17281028706198,37.22669549909818,34.61052328977544,34.78197463746258,32.82153497533395,28.613177336937003,30.21500855853892,31.406617807672532,35.11565348489279,34.13990427310052,39.84570886492956,38.136435184299565,41.90177211555326,40.3365356703946,40.040934178950636,36.30899190451924,38.61473590079914,35.2296390573481,36.87413420171235,35.530427634997984,39.019071144906995,36.16307307374799,35.856209693302816,33.709418318407074,32.338291285066404,31.3981585171017,28.152234659772002,30.729441610794535,27.946580920864804,26.28141996434732,28.39580866438703,25.74122536868943,23.310399835209637,23.425279662448986,19.718034958827094,21.136299343539353,17.631289420956918,19.404951634565002,16.145513924800284,21.137224757393295,23.530046390584918,21.771209129676027,21.714141616463504,17.476907505198692,18.42701397614246,20.271460322756088,17.030324469546386,21.375844241125915,19.825892563150163,21.241609976065998,23.316581873034668,20.61570252715956,24.529010486516736,22.182847164830942,25.278540645396767,19.385371847079536,17.674945029138936,14.72358365356623,12.13071626339908,10.825541976594346,13.617871942468785,10.476841009223396,14.00849347874425,16.865056278289135,16.38473560278323,19.386908546601227,22.217545854927597,20.119694946867053,23.16194068667531,24.267658557847724,25.967085579274716,28.98574471902181,31.859888214475905,36.08064779584096,39.38014057132958,38.66105879994586,36.37502971946454,32.618214935829705,31.7145792002368,29.73951731487477,27.269376440704978,22.415427583898442,24.219406638898842,18.583884317257354,22.552128864481173,19.303487823766314,14.1225314205071,16.573038736071528,15.46070421742908,14.128921455604685,11.347311566170506,14.212006776544595,14.548507838836642,19.461612401608566,22.93584484048295,25.982027048690867,29.474294858360995,29.702190748980946,34.09062135112936,30.480651380132315,31.296606845942385,26.71944934273909,26.237719709319954,26.73498527005337,26.74419065329607,23.584650697854865,25.476906421708104,24.97504858423556,26.42159380607518,21.903147272196975,23.819598806934074,23.03767578553638,22.751255753401697,21.912358957701684,21.044862987316154,21.991642209297865,22.514821570864513,19.513002660573974,23.27563468501385,23.782734009454245,25.244678923140686,29.3105279664463,30.855050139715868,27.66515707964013,28.381384397690887,32.755448764635084,32.08272493239377,28.69335266065746,32.810976701121874,36.85677151422585,33.86326512780237,34.52694260107862,38.29114245790924,38.220941316831116,36.21035126706901,38.97961310441241,36.315678553464295,40.94119140205998,36.1111919947928,35.939840894000945,39.88882575011283,41.15407587963857,46.10519110733874,44.82898127365087,44.566889282658536,41.55765290590903,42.51534996117222,39.516699953757225,40.775796393005656,40.54762911859481,35.09145238745379,35.28554373395216,36.562178030238144,33.58281429763793,30.667476592216115,30.99345739908134,30.874771942194073,28.371226874143808,24.61843755837605,26.762955712455025,28.305943454013857,31.850126089891,34.85568990422798,36.74039767521043,41.30019639180204,38.390526042841834,34.68882737575083,39.48180142607924,40.70384969078944,36.20884003161068,36.92700551046165,41.29067301512398,41.018907148326775,38.42018300203534,42.366306332924026,44.7246366611542,42.379261951713374,42.36313910491423,45.233612560621914,42.4348276486817,42.94158785039005,39.97270609438348,41.57386076862416,42.34887965634193,37.1230632406525,36.88118218247466,38.58977941919375,36.853190781195515,32.47933766551518,36.18055288205216,36.63568651239556,31.952197331359542,30.174806295452527,34.388054176042004,34.325968327256504,31.001238155582467,29.08593177649221,31.492805346972297,29.819812923249064,33.708551279290404,30.231997001058286,30.14409688309475,29.813180606869373,27.629026857489407,25.56733207519808,25.097262091154153,22.936796543132985,25.385384959704567,22.932374007724796,22.77645227961552,21.105285240786184,26.060591576189868,28.73952585839667,32.399863578890354,31.360645188134022,27.854025324780253,30.940223540096465,33.64290029241657,29.192961851282977,32.146024967745475,35.68344705325616,36.77038158926622,37.494148677273216,39.68576460833657,41.431102462784565],[36.80757560569428,33.6089070244883,32.72375701269298,27.523273782916526,25.016673942841052,29.667074107698177,28.422248827650577,32.16030404090667,32.92775988523103,30.87311043080393,34.18338906249557,37.063470308898566,32.32377932673807,31.62586072714385,35.29411746700725,34.89869035565351,30.316124748609738,32.20282055665975,30.343285221489108,31.187729653337545,32.01143305797433,33.05242453075443,32.6846783329984,29.59749327568771,27.976191529926286,26.930886496855095,26.1730175549976,26.354449925557795,30.457496246074314,33.11834524988085,38.10314437955107,38.47426466799305,42.91618369462165,43.97116995839309,40.09778629516349,36.298168211697515,35.979155921962736,31.812631081786346,28.75751186320119,31.505960361646434,26.35608986608735,29.70484335590455,32.35938893013757,29.00452519670898,26.874916571213006,23.931193772754703,25.395297109704643,28.797703466859094,26.555389237053937,27.9965888570016,31.75644148606595,31.79734219214976,35.3166359100312,32.67184350519117,38.782961402483885,39.524744733132515,36.99668780172298,39.93816425673658,43.44296081013673,41.34390394261929,39.05786782729523,42.482271418010775,42.98542842259196,42.63518809700324,38.849606760791204,37.24856938958102,35.96419657290867,36.06675433351684,34.164623189377075,35.643212017280135,34.1737975883693,37.01800870072112,38.98817182072167,39.03072815969455,39.74659325091846,44.8246068126163,41.49333321358709,45.66233555844877,43.01684012703966,41.48947969602454,40.58277760914866,37.597550020525844,38.01990705028936,35.60084631707486,31.47244176542106,33.57584573699033,34.81159584135678,38.74970190349811,37.89939475847235,43.7670322355789,42.241371605787165,46.0545125888875,44.67724610301155,44.477369286086734,40.84972005118851,43.249422199042286,39.92119640616319,41.41859484799832,40.05199722910033,43.41386018158539,40.41389841765292,39.85073318529791,37.577851719896366,35.95051309995869,34.4522702951377,31.30669973933589,33.42888658351007,30.276025506145704,28.849376785918977,31.429103566935705,29.05664088805118,26.974596980548622,27.547143725339648,23.96457772093554,25.70038090830949,22.251670808256247,23.918715220588997,20.52935838886552,25.255621201178233,27.961517063016203,26.347980971954176,26.42324625120511,22.210794369752374,23.12502446368626,24.802991120327523,21.254642194197785,25.08584596872447,23.35218643810437,24.24461916261906,26.02088782849572,22.650226965014497,26.122487240451413,23.580711387641752,27.285092563683055,21.492777003312714,20.651587387066066,17.207631402837727,15.743862957345906,15.138325947405692,17.573322185929054,14.331258563035103,17.119081137276762,20.577098008131443,20.33364059130195,22.994751009696166,26.22313941149531,24.300788691434494,27.396480906097732,28.334067641568588,30.23529341293202,32.97376717066061,36.09719265834111,40.145665007967686,43.59388976458357,43.02420902700628,40.630489202515065,36.933144151549335,35.7526684940256,33.89491374789712,31.00443492687389,26.03549028716549,27.945105807207156,22.112108671696532,25.678030537505208,21.7212579700901,16.339065122150974,17.995258109051864,15.764543618192217,14.505199958419366,12.989173254306499,16.12408392490687,17.436862336776116,22.16001032071244,25.842544991391854,29.172919083980883,32.77232218953513,33.446007382096454,37.47358770289139,33.58224513339893,34.15238932645761,29.212317647380612,29.03754616881708,28.684746448343503,28.158838919953173,25.281410090038964,27.252499952646403,27.23764696832276,27.775771156870906,22.941314210116246,24.459188577705035,23.173951929968837,23.516981276255148,22.22157572614098,21.580337652842424,22.411940183663802,22.605196739011433,20.139535663296787,24.081015841921616,24.845864283107645,27.065821401299957,30.65537798012961,32.79937742118677,29.931769188536126,30.061271531329012,34.42531781628569,34.359809232889866,30.754886293459705,34.55314049593191,38.93423743821996,36.34186025325367,36.68811250168112,40.380222176445585,40.79546966809784,38.74350497053609,41.090458895031205,38.179244869260486,42.62854591141101,37.154680416987404,37.16817321155695,41.07337849662612,41.806520505632186,46.67716830059443,45.15663476873931,45.150228531188816,42.09104188426093,42.98699134794427,40.28004835261988,40.98438811828615,40.58409474833022,35.57163793536603,35.614785285317076,36.200346286794144,33.37072191614202,30.751632190472268,30.61804531322726,30.03469379778932,27.975750146522767,24.472018525914397,27.366814282850648,29.264884629893963,32.58016970984417,35.954521206104154,38.079868605388924,42.774020009072196,40.23613950284404,36.42871659540145,41.22088100315014,42.845630848600365,38.56669438776396,39.02582488337432,43.567481935166796,43.59547153707005,40.87791072367373,44.480016299382626,47.11066078193902,45.02840438790927,44.576307975526774,47.205081865606125,44.18394221098058,44.49099834803326,41.532648336757674,42.66684927576862,43.4837403706036,38.550756458323846,37.88995697312884,39.264092956046866,37.742154174790365,33.31381784946931,36.34791977469614,36.7707189409172,32.47779926276441,30.29480764260754,33.96699894719936,34.01221404617077,31.013890092737086,29.722321621097965,31.469372535771505,30.31963934223427,34.49406469730204,31.650896924267364,31.797565547683725,32.14779267708887,29.71419190667372,27.34252380561143,26.228312162608617,24.05756882977264,26.54435363757679,25.04356965677429,24.811939062101192,23.940732752528806,28.95154421214335,31.68953279840968,35.36490269696895,34.85650587908751,31.259670141244285,34.13966577504071,37.1770974284885,33.035807358031335,35.76327719699406,39.45751772811653,40.774148233045445,41.54715017640453,43.76815685512925,45.41566244938843],[34.25891544006481,31.053728349839886,30.08842548069521,25.264099612894814,22.866021578435756,27.905920661404142,27.129877395114363,31.019697345310966,32.070025950990455,30.516146681386616,34.00712411674083,36.7597430594393,32.353320919225816,31.805991625439233,35.7512296935167,35.3887717115398,31.0153436657078,33.36394827848938,32.032509490613876,32.869379393127254,34.0925210278378,35.2788952455273,35.172763386477065,32.24988090629074,30.325003792140393,29.039358748105467,27.89054618236637,27.62069504794893,31.495743252561372,33.76392569729755,39.019881077623296,38.98465504650287,43.50357640630258,44.92019547144889,41.020810942195325,37.42712810005953,36.73356490385896,33.05479960919264,30.074170561797775,32.91117875392329,28.083158643603348,31.61806437412377,34.41898904405059,31.238099766699996,29.409491115188686,26.405499371987585,28.095803996593517,31.30575301726751,28.65582318213598,30.242439234819024,33.855861605327576,33.69938881003249,37.26039660618256,34.392738241875094,40.46114200636366,41.53249030613439,38.993468539697176,41.69374845850046,45.38157728256454,43.57945918101766,41.23558548396108,44.579685427108075,44.902657332821484,44.893993288287106,41.11473991908179,39.21439842753513,37.98609778472918,37.717601942301876,35.85405053800977,36.95160842864679,35.58987864768461,38.5483627195358,40.47780839167445,40.8599646051299,41.277660372420925,46.552381158418875,43.21195433141883,47.23473588867592,44.56025406010536,43.123050033721675,41.852600967839734,38.86562026480712,38.79796960092982,36.41677797836242,32.43298193893535,34.498798880922315,36.162073906264865,39.78756733808068,39.31445674108491,45.01228313964507,43.56054949145713,47.482811074685046,45.85173769864901,45.36240200577382,41.52889840713644,43.8542022218063,40.330577614376764,41.7059963735591,40.03242694332589,43.03749647399185,40.41419174692539,39.3798827105431,37.54726337843823,35.40940303086448,33.991936929799735,30.459796718996817,32.267793332386866,28.93349211893407,27.175928571968356,30.020256163590638,27.474502169098827,25.975483591554188,26.638299664374482,23.459208622398663,25.71533027882526,22.522701204051604,24.764601215346993,21.800829689171376,26.98144965912831,29.18928663233486,27.414828365590225,27.02471727273496,22.6256087306912,23.02906520299267,24.16399177551472,20.422222325767745,23.53118598511153,22.074236852134,22.79125754437691,24.979447185109215,21.054193976387126,24.622835748134133,22.579140542379093,26.538590994588787,20.783234467421703,20.031949627894765,15.841851299851891,15.22530391837853,15.099985974349192,17.968471785825553,15.760207884363268,19.195676048426773,22.281063806504314,21.495513779848345,24.25992029614523,27.108479077326113,24.87390657265665,27.544428502937244,28.045007805280836,29.658620389616075,32.02169275644699,35.169767416112535,39.10668558569216,42.45654692104366,42.26808904856303,40.000775658360865,36.50146583423736,35.1356730424467,33.748587050959166,30.523917228624384,25.951701875332112,28.470990263436136,22.821360991655474,26.60712260013299,22.657431369967153,17.48451882485682,18.552384922767466,16.654356160799733,14.48050008773748,13.15702088330172,15.932814413436285,17.620121286309676,22.445535040245442,26.097167626534056,29.490736480082695,32.83966494065549,33.71081345888177,37.71042732173014,34.08937782508641,34.394024470176056,29.623937423535526,28.76414883591145,28.538629826611096,28.212807451404075,25.525943310842724,28.19246851867244,28.531316425704155,29.281271391729963,24.82224202259363,25.832115559889107,24.269234083831726,24.22918355947858,22.37127627370599,21.202529628468145,21.555089924962704,21.181711047948646,18.356660704142538,22.0659114966542,22.37269714298508,24.879777934419256,28.154881206956837,30.506120389304183,27.62740141007886,27.303634384250188,31.707300181819473,31.790977213210045,27.881067469398847,31.57478591193017,36.17502760807425,33.60224411116445,33.72390361574049,37.405214597173874,38.05149534730018,35.89556543590091,38.02054635560092,35.016747729183486,39.43028925604578,33.74256180457479,33.89278616137067,37.82021351342535,38.5308575087947,43.34275585341921,41.92114307340083,42.13212902862862,39.193697290237516,40.289189446827365,37.80145510956832,38.54388408868601,37.852354696642394,32.831704914386684,33.181234296776175,33.64075215817798,30.548747206928176,28.127390876851226,28.278302660943286,27.276174693438218,25.005723859332477,22.030293622635412,24.662985679537965,27.183940373124237,30.434931824843574,33.62571258555469,36.060303374946194,40.68788782489508,38.41299438076886,34.368268855086946,38.91586874295728,40.79028942824821,36.513779237604496,36.61697197433538,41.19760701316996,41.30368355157407,38.38534275827114,41.84223490332255,44.5544259301319,42.479685722130206,41.77694086777771,44.35355744151809,41.256464022868435,41.65296748628086,38.85142945364656,39.89470533906668,40.4841176353083,35.591859978787525,35.02996822591891,36.17232190909744,34.56782837761365,30.250888533702486,33.249625768962545,33.436016838552135,29.14102228262593,27.099049704773947,30.69098483963759,30.550766604612313,27.521232035402104,26.252688025944696,27.87483528728077,26.775596571592672,30.99481556918174,28.322254444399682,28.594180949957828,29.228049795244665,26.66091588857658,24.17965270635006,22.843327264250682,20.734809520665053,23.381472498388597,22.30169508616406,22.387284349611626,21.861249616636083,26.537173891314605,29.51316663865952,33.09079096300517,33.08049165450651,29.28242586347224,31.828831006774383,35.13503511548489,31.33317100504928,33.67999943104646,37.52528395834998,39.114707791087696,40.013637958961496,42.277626236537145,43.83935823560892],[38.95759823306548,35.87238391619039,35.20671778160451,30.204637175633565,28.39891648288097,33.19262373283449,32.41677149720549,36.409762166792916,37.064918876276586,35.22011893805654,38.55618932268183,41.595507672017405,37.05215279435288,36.055694586332834,39.929121563513945,39.740689544345464,35.1524039319787,37.03923284245909,34.98862424319588,36.07831086466041,36.68023774890219,37.74159890900501,37.09768767366809,33.83157378791575,32.57255814654802,31.577368762777567,31.118103373068713,31.33159204046744,35.48236519707326,38.1896324332697,43.00341129108674,43.531230409799825,47.951678138409626,49.04016630898659,45.22842021731751,41.38487923482247,41.17310964773451,36.97519465953618,33.93034448136977,36.60734496525215,31.38744643798479,34.63886011530487,37.204342273619986,33.699581699600365,31.298201836675727,28.313937840090144,29.403684823633775,33.102094253290794,31.169368996678752,32.16174348261704,36.11676533220747,36.40981382900719,39.997021766681286,37.58326396237723,43.6651112713713,44.236088547651825,41.77194032890245,44.88064882266461,48.271181007627575,45.940530765873376,43.783197285067985,47.265650492167616,47.85117299690646,47.24018533417833,43.4851811653837,42.09048110652589,40.58762620173255,40.83559767495902,38.64765194101402,40.15650682445033,38.460213988172505,41.06718507303941,43.35135413154962,43.43434551343098,44.45170586533602,49.55103020422307,46.38029986371261,50.63282640555525,48.0683986004419,46.54512042912805,45.76402936557865,42.75421992679482,43.255830140713314,40.76583769408597,36.655017976840206,38.81406881120661,39.973807174363884,43.966309972663474,42.9815086160993,48.86616053847053,47.207057442612374,50.895137899702945,49.51017624143638,49.360550102696855,45.67117814249142,47.9190039161545,44.49519929038992,46.27189370012327,44.86573406546009,48.19944850211642,45.44008134700591,44.795811418703956,42.7087572087937,40.92104322398544,39.43128721641582,36.12087312145841,38.01012275076547,34.669680405066224,33.05946196567734,35.882623196303356,33.33421525980842,31.65259507328349,32.09897438129936,28.705004518343074,30.42816249112792,26.943960989173245,28.71015999933651,25.203700084861868,29.755527708508485,32.60611533422345,30.749301962087873,30.838945394104787,26.4444228869364,27.42211225349498,29.019353123124954,25.711204193193357,29.187204208550188,27.827387816705393,28.651903030281645,30.67549581422347,26.83217984631575,30.201265258878525,27.87398244314117,31.89874536399687,26.178829683280483,25.5401476249804,21.639377899815837,20.616088325097373,19.95656848235183,22.67006905084397,19.281432757826288,21.951596718181435,25.50271426818201,25.424595468320593,28.1552661951418,31.376852230735818,29.39837796126796,32.43338210789298,33.30352998164098,34.957694139480765,37.60149491698993,40.58194173398298,44.67113021843101,47.88771109631372,47.56334499516571,45.36209485478507,41.73540227265484,40.59628995269281,38.90517702597024,35.98064464042928,31.152129848276537,33.17030121224645,27.342758446198868,30.903407328391566,26.839219358953873,21.43503729208318,22.817750758275906,20.17140159185496,18.84668760800418,17.882547766778522,20.97098744566665,22.565017772434917,27.282802850444284,30.992492722456486,34.372152661981545,37.9389985753961,38.651309439052426,42.68359803160241,38.79558760571081,39.28695327167341,34.292145217302895,34.03824041559573,33.47900828933551,32.78163819405354,30.083426913303263,32.13367273806998,32.25871598910259,32.428811280933715,27.40612650133354,28.80657567524866,27.261588773783664,27.95634573521903,26.351066985410277,25.71556398457742,26.28945432147992,26.00074122417137,23.686775926505906,27.481670303618202,27.952153768424978,30.688614665114752,33.77679520235071,36.312698155111484,33.497054726927594,32.95299178562161,37.343929672612596,37.55780075161664,33.42638200988615,37.03105284504352,41.81035421814794,39.15851136524455,39.06614981652829,42.77068397565029,43.54082983306009,41.123988235811666,43.08295386718675,40.01817668742248,44.47295811071391,38.37816146029047,38.89577910155636,42.838358539415175,43.35594865120136,48.01775517070348,46.58425674092911,47.10143549137555,44.226115863294986,45.330378947380474,43.06395046387001,43.44305604269297,42.61182211844399,37.94228264020948,38.219767638581594,38.16080959222174,35.19078025022572,33.05936465022932,32.863861489785016,31.450755220207142,29.56288668143923,26.929670793661465,29.964751929830967,32.62056297417867,35.72379718566239,39.09800921640425,41.597991387436714,46.272594339668466,44.11169276164752,40.086243438557936,44.622630479844254,46.60785216227297,42.38845817557216,42.41275479938158,47.01553513459949,47.16129716201156,44.16947833265649,47.53976298176195,50.29712549082849,48.187195581771775,47.348280263958785,49.88573813603043,46.721350026572125,47.14496595796554,44.43202526443759,45.26089905008239,45.74995653414943,41.008507914527726,40.36186572290166,41.2069076208877,39.642214095085144,35.44462213716981,38.01498571572441,37.96040011881947,33.93809703330444,31.86251304279711,34.90872633588042,34.59695000589514,31.79790064673836,30.813327643523845,31.68967495139155,30.682785964481617,35.21288984192501,32.86629230809937,33.634400242841664,34.449498730466246,31.46845666223891,29.134745611581607,27.44880463610696,25.71211585040432,28.657334739381085,27.97808888809649,28.229547802795903,27.746173573889994,32.21673834324615,35.35657902431838,38.88315144057462,38.877310567322795,35.01371438422235,37.401382893729924,40.70529536379409,36.847816256360915,38.91527757197224,42.837774219732005,44.43762415694907,45.430364267170646,47.66078455386566,49.23728363044633],[34.992013741186994,31.914065550468383,30.89444204218252,27.0803550401222,25.185792385109963,30.77429003676021,30.847126907397563,34.87547518894632,36.3004921375503,35.41984689746833,39.06171427742759,41.6566483680628,37.680444205086104,37.25994284266692,41.452803279976465,41.12680807809277,36.96821770937706,39.62425912989065,38.57182229134473,39.34979834764562,40.70236775714631,41.795012187245064,41.770083846005534,38.81070321471918,36.87771257751975,35.671068750346684,34.36024531585901,33.93846759560334,37.64581802725286,39.58725976344684,45.077773403067866,44.65504756303045,49.22713690447385,50.916350856082246,46.96957855646827,43.55859889507604,42.50549572164913,39.154266855079165,36.1468023708763,38.65407671624771,34.1922381878853,37.98301493389169,40.65523245396584,37.406172973956174,35.60467754459853,32.39842157818126,33.87028666063948,37.2082449971659,34.41749155030676,35.50882277438845,39.15123523844679,39.1433051581614,42.84251654563655,40.11312711360115,46.01863348850259,47.30042242076912,44.96039509126409,47.617659417351014,51.32121872468445,49.581135337528366,47.50448486048875,50.97847187347258,51.34204395068764,51.453974894800254,47.6187439515774,45.68454126936731,44.602892869301726,44.21518768690875,42.376514918421215,43.27155551786047,41.93144869472817,44.882170170345425,46.86921505694057,47.428438554921236,47.72402101230022,53.06397566667333,49.66888713933148,53.59140146359233,50.821508380383904,49.30323510581693,47.749358643210954,44.57145171432142,44.195315430546536,41.601121629096,37.86092770169554,40.14633901270523,42.19167738472388,45.637659475541156,45.54971751639413,51.15518203791326,49.83852351245943,53.844695726758495,52.07118461285034,51.36989045910551,47.39206027288979,49.637151541318055,45.94599510414937,47.19915726629096,45.2129059987503,47.74744254869551,45.52792367862425,43.86071699564782,42.48452125181742,39.67505423744349,38.0512355579445,34.21580626183003,35.294811593788445,31.583955226627808,29.623404181497637,33.01292287611387,30.487113105034666,29.971414938245935,30.90368462290497,28.32575787996721,31.12896137539402,28.233497847957075,30.88538064520229,28.18911171072732,33.53329724743114,35.509169709384395,33.60589184726541,32.89426297884987,28.362104273061494,28.338804064427677,28.862497179635586,25.02425209144982,26.91865691238086,25.83472287538921,26.024454793009266,28.43002174554706,23.601526097805202,26.729061863838236,25.295606062416795,29.79868692299265,24.45526153685299,24.36424555196508,19.424827090484253,20.256200117297556,20.741862314958574,23.72963135069423,22.204273422480163,25.724003206059848,28.78505596026419,27.744645405229008,30.424915276353477,33.10656049447365,30.708243339924834,32.97486306267938,32.96180359899475,34.29330540719887,36.04657032712804,39.24514436838344,42.91147616377922,46.1112437962621,46.495858231750454,44.391553692810064,41.199717003230894,39.53139157856137,38.74838563068983,35.02591734280506,30.925960776633364,34.02307323771778,28.54701142324202,32.247788688178346,28.016482279087974,23.08049109012847,23.181772405006985,21.00501805124512,18.26814618465624,18.023017429937564,20.371457583921917,22.79251516830909,27.394213263738827,31.015283284071625,34.54971549926062,37.64244852249005,38.94255242765873,42.66298496119513,39.200866333078224,39.081225695346085,34.35285105929487,33.002883553782375,32.357055566560184,31.872283509967854,29.687760599437258,33.00079186763721,33.96072372072047,34.29380508731631,30.05512170148406,30.32346716326965,28.177217712329597,28.245367031848318,25.558825428553792,24.06692180159478,23.725201190649216,22.340199610604273,19.789384343487047,22.962391412918937,22.75445407728736,26.175630425235315,28.37085553701926,31.44565420070308,28.91840068144503,27.39437931909687,31.659925372743718,32.46178403720332,27.98914933755751,31.084342276491846,36.207673590979134,34.00000792273541,33.44616803299551,36.958171526352324,38.35536649350058,35.96317527887386,37.300781758221525,34.018040856227465,38.13753925969734,31.56377159816827,32.24415094880682,36.07758711011303,36.23825336008294,40.743009196374345,39.308748170832715,40.21181603626373,37.534500957070655,38.904578767059625,37.15144831719034,37.377776738974646,36.01771263817785,31.607178288008242,32.323609433616895,31.80476652720587,28.51293010446733,26.898957732731485,27.033440506505578,24.75728441890618,22.741751796968554,21.28314469981025,24.040039449848575,27.77761743674213,30.554800008676636,33.66808868899465,36.7203083097481,41.23565682881599,39.72295025142438,35.36136055990811,39.39134184573485,41.92977197164075,37.93142830061106,37.273168135190545,41.932459954044965,42.3778359041292,39.1065727139791,41.97860002600197,44.974062136704724,43.122855632348404,41.67911125115427,43.930597958918575,40.58405419026671,40.983235481139204,38.54547489389652,38.98718270657547,39.17288041977509,34.752010489199904,34.024573054070984,34.359637802370386,32.839075002033454,28.867237516444913,30.990473783022836,30.616154922350265,26.89607527392602,24.84403702906312,27.456239961974553,26.983362035076752,24.37905765745433,23.87252485813182,24.285411272174912,23.833001992754795,28.356674182940505,26.746273144163915,27.609357833733092,29.269979146292208,26.255029207570292,23.555804528449293,21.24967358308637,19.564133188799296,22.46067027549092,23.03891017998005,23.632816868019948,24.191872628265404,28.05598338381742,31.353733375105,34.645974476025,35.712063433745705,31.672928783077303,33.44498881316729,37.26599942543078,34.23690205078234,35.72557929335023,39.81933864916025,41.91416046208745,43.04174712093732,45.32824676838872,46.67594812142248],[34.02138089457762,31.064060227501493,30.519369121817576,26.118344832403334,25.083423630278936,30.149417158987397,30.27293590862723,34.5544624822703,35.42243434043718,34.42207341791633,37.96911493844312,40.9034274287175,37.04921658942528,36.06682997088387,40.450018842084816,40.47610964297873,36.257065750123736,38.8928560887964,37.672626044579154,38.96793119218429,40.21182065009201,41.71487858376105,41.41883409388503,38.42623054257004,36.70308859864019,35.12330415052925,34.14929093220259,33.535045475111815,37.31633677009497,39.42032528540882,44.45767400872591,44.48873222870528,48.97169288564744,50.7068353370191,46.95582826873198,43.43148081702812,42.758353078083026,39.40595189042793,36.58780210823905,39.70133079431001,34.830113858533196,38.191358042984405,41.15557319883432,38.002569029454655,36.05876112672351,33.09458150504073,34.67163632453891,38.02780632563987,35.50731008940314,36.981558214657774,40.69741949188942,40.60530069421699,44.19674685776337,41.280746711504484,47.379150518451674,48.44057350992094,45.79413358645154,48.46478622419411,52.215679872544996,50.37870433569764,47.91243782879492,51.13321009471117,51.3029598221617,51.22404944049513,47.541819272665904,45.61016195770006,43.94468482930659,43.53546325841975,41.219019986757175,42.03160730113954,40.417371135365144,43.118531258278864,45.466944529075874,46.22688317266004,46.85832091648322,52.379386100555614,49.354572266612465,53.40005492633146,50.91956999257589,49.69500040198823,48.40344158026332,45.5655205758838,45.25049905244272,43.02304748258146,39.088008969422276,40.96889966206205,42.698363898175394,46.13657405219149,45.5919650321038,51.13852156463899,49.44020885503158,53.20751086707143,51.33287151045538,50.71161009816713,46.64156821793524,48.635177180155935,44.85600850731728,46.6493699361993,44.77355522968133,47.57100356137292,45.62747029948356,44.36263947198756,43.12618279438795,40.63815079535205,39.57946187335278,35.601119699432964,37.10717079494567,33.64266814424439,31.329287663099684,34.38592225172088,31.367072185643337,30.653545513165973,30.917836509179686,28.251312294290134,30.531595165734153,27.4511770765134,30.093553198274105,27.234106302325408,32.433306042335566,34.46576350816409,32.21889471681855,31.56845064386309,26.88724998237756,27.142191011170496,27.92083174317512,24.730788504242305,27.0517439197595,26.47871566197984,27.245128891733906,30.108638927616276,25.642436153850525,29.24592667498754,27.892977903731936,32.07401552824917,26.47527583909249,25.672806314582846,20.882365915928023,20.7694603634066,20.46802416609292,23.91154087128026,21.869022730167494,25.597015959892598,28.47924236711289,27.6388194091716,30.66543771859945,33.16861760886738,30.669908561483467,33.004033646454346,33.2713270778362,34.234804843870464,36.35522218426703,39.10710879212438,43.08392169625021,45.88297530553739,46.22419621790497,44.41704557779405,41.14727520763439,39.90992547300406,38.97868055879342,35.79128687008358,31.73704745258326,34.598328528168935,29.16113857314264,33.181725201565804,29.38790516375772,24.284608810163586,25.166716480775186,23.245946423207574,20.733474872453932,19.682767392650906,22.190172341406566,23.958914944129567,28.84046549154301,32.40065805073033,35.735000337974235,38.84720768877813,39.64001854312391,43.7896824725267,40.46124352028542,40.65231445575689,36.07206698283509,34.655475265935074,34.61189969001703,34.39627616482595,31.903069106650452,34.920917443279514,35.366262820002504,36.12878189248815,31.64308186753788,32.515562998220666,30.718503225717047,30.715070894393293,28.44166743141824,26.981862117621827,26.842632204442726,25.701633108423202,22.71704242285348,25.87755059337092,25.299207072233795,28.29312944655232,30.780596371655328,33.48628210100895,30.549829092413166,29.18825121592742,33.58974379850962,33.849764951078924,29.04981730013944,32.48508581012628,37.630643374300014,34.74171813891166,34.15890783393627,37.86383416556738,38.94838204214718,36.13952582978651,37.69971504158197,34.55601811992873,39.04152483367638,32.595452799186205,33.60961631531753,37.62079073842499,38.31838207590488,42.769596493194534,41.74156794120063,42.80830960540731,40.31981476916901,41.9310081859107,40.13218208302111,40.731087412096755,39.267793218248606,34.55544529341084,35.580666188474765,35.36688684911753,31.800205996668197,30.148506615094306,30.67766911847468,28.38002259098265,25.967511891805835,24.67748935216647,26.838208747175273,30.692416561462608,33.65624573084046,36.46248368511926,39.503331094770445,43.92907412150971,42.202988617919466,37.784916430856285,41.71866398959008,44.056964733836836,39.79643718950389,39.131436803258275,43.6717136605823,43.829993446736076,40.44007420760531,43.601596452466666,46.37673419134023,44.11164931640664,42.88265514563983,45.40787049842425,42.191801455570555,42.97551405598097,40.70694642675004,41.4826546101488,41.33574198058755,36.64314985947213,36.461537576054,36.76766231704876,34.893888694041756,31.14111967326121,33.75387035133621,32.96426865394357,28.8920809494774,27.464364919459513,30.263046206450564,29.260858993822037,26.327136992092125,25.16957576445192,25.572152726954883,24.357837802938047,29.058643378824893,26.973725677264945,28.310326978098182,29.503464888710916,26.052305231655485,23.821239335307393,21.72664894621186,20.549021282858806,24.068347658618578,24.121522414345847,25.271285884661296,25.139491170531013,28.53757769872934,32.23334954165577,35.42618100611788,36.23170140327873,32.00373958702886,33.5902076855068,37.25576583713495,34.02144930880061,35.119473143395425,39.28951317514976,41.35924034798286,42.65780811118407,44.92645742890436,46.36284354763213],[37.76084201815104,34.87668128114072,34.498070963950695,29.900730775775983,29.055263370560937,33.913979152144684,33.87325642942623,38.16982269217833,38.77441841945613,37.47491028060753,40.90699187402918,44.02826243147236,39.9894891025534,38.745922272493935,43.02774988630186,43.12811387510446,38.72818569235601,41.01919748968114,39.29828604172481,40.72146545679646,41.553831347363456,42.95349109606721,42.31869638993704,39.11446933562817,37.80279988855543,36.43012636051731,35.888242105519865,35.626376647980656,39.61818966723019,42.05172994840518,46.82030737544407,47.23991165340651,51.66873650836877,53.142367273542305,49.42905578376042,45.7138374988834,45.370823986447434,41.615691173598364,38.72811325879023,41.731485905400284,36.58392645507161,39.7805371424233,42.58728215464448,39.22069246052225,36.92339627493737,33.98043049808046,35.195226383164545,38.83441653811247,36.76180084573951,37.88684385688501,41.813719872318245,41.996648165717886,45.60698648968245,42.97777207913237,49.10283505154802,49.82967451908118,47.231749674191825,50.181077790100034,53.73381007903988,51.54637978223297,49.20120932526697,52.52056208362877,52.87674317206521,52.39576509299004,48.723551946623715,47.12839430514317,45.311443829260874,45.261720527369896,42.76505600678768,43.88817031114492,42.0684585579638,44.55250967528822,47.10635926227254,47.62428377041506,48.6486920808769,54.03287243462752,51.09495884367817,55.302154510666355,52.87822178976548,51.577301622572406,50.62112545068592,47.75146839634556,47.84855004070174,45.53142530395921,41.4823930473366,43.44664115823668,44.83073359035349,48.54822495050719,47.65477687437985,53.35652865248051,51.53267006742295,55.15718283682583,53.47518298317436,53.10538885020837,49.15602938958695,51.13537538918109,47.45247568811428,49.486070355400706,47.82396151184383,50.89372691656538,48.76071718965139,47.80842301802036,46.30633068280564,44.11128368199383,42.95774033854851,39.17874601998171,40.811237045070406,37.3543612149711,35.223804787882436,38.23116687389737,35.27240926159063,34.277498052773026,34.449997581898536,31.52766799040717,33.44040953548507,30.12653565374868,32.40034247559798,29.1564513955824,33.950654916531526,36.43517042738737,34.184778278568054,33.89564835956355,29.249232415893726,29.926272269272907,31.094385766373826,28.102511141852798,30.854031683102757,30.181260121081877,31.030927564502154,33.6838597009039,29.352870210000983,32.852581279079814,31.173573629431505,35.38264021762088,29.72202264139109,28.975369143393294,24.44161548390504,23.93037413379454,23.302557204762717,26.588734920410914,23.752013218009512,27.00077517600819,30.200710614475913,29.8168543045665,32.8110301011705,35.61498479535209,33.30851521222356,35.954014867156495,36.5181012986412,37.61407383030741,39.988378606131946,42.68384053498231,46.777862722575044,49.560680881067974,49.72184934964927,47.897545875685644,44.49298845618071,43.4010958187246,42.18047843811916,39.1914893938613,34.85356881001033,37.34014666119452,31.71672907662006,35.59478153980407,31.689365851541748,26.38428383038377,27.518190836966593,25.13983761904654,23.163619373360067,22.23522021792693,25.037753768392513,26.741841387943694,31.608946213003144,35.25148697413358,38.60361788594441,41.916172220625555,42.603742159029714,46.7847840658101,43.22317900311965,43.56559578591144,38.787493518155415,37.84731255197963,37.570127612787424,37.10033860625514,34.544194441886624,37.124718024581995,37.403977509322054,37.812702680333565,32.95946744861162,34.112701810328105,32.36855463548132,32.81061071566103,30.758344453734455,29.67365001907614,29.767323410567638,28.81917837001076,26.172637847642626,29.521236439294455,29.223902284719987,32.27644616445322,34.79290276410788,37.55632615319642,34.66258758649912,33.34763399474035,37.73358285347429,38.04157981835289,33.25256555008544,36.66274629041378,41.82621887541772,38.92496860894691,38.30999310872881,42.01477536748779,43.10498369888096,40.212960715955575,41.7404283342691,38.59860896949242,43.083017944704864,36.50434295325436,37.65138328983909,41.638738641461735,42.202670188861944,46.57171715522853,45.490535448459326,46.655988474205294,44.15535021773136,45.69508093506305,43.948764866407224,44.318357962562814,42.872241630519504,38.3694913002911,39.23511017354021,38.765261982865155,35.36868903256877,33.79877462721295,34.02337141675354,31.656821441858472,29.552997991918183,28.19891264584762,30.721146076957496,34.42449731118517,37.34534312355108,40.341344674237455,43.32930006328618,47.82399478149075,46.08328609823479,41.731040580772266,45.76007426354358,48.09919649434989,43.865084194104774,43.27204225614521,47.83069232048009,48.001224150455556,44.63528953816288,47.78608846388861,50.57473769529372,48.30609144780797,47.070342433399105,49.57560279189527,46.34067811380438,47.090344408790095,44.80899068854784,45.47955235476813,45.368440566192504,40.76239292045131,40.46856046451207,40.69357482508469,38.894389224024046,35.15682069906195,37.51811077895162,36.705252284682025,32.82539748804457,31.287037496310262,33.7973034883739,32.804780119253856,30.060079123630594,29.103328615442187,29.13797037622959,28.02031301295012,32.80923501146507,30.892456765924226,32.40842411754155,33.61051704339312,30.036774513985165,27.90944320992795,25.739125433742213,24.684141080883457,28.21427913173468,28.311449021944867,29.36834889380184,29.16577855521916,32.66546214405396,36.34813198904459,39.57002229842421,40.22804199464805,36.02314818288069,37.663581431546746,41.25182463490257,37.87576610514831,38.97555537805383,43.14047209936167,45.13443349558836,46.437816762489014,48.67943896316875,50.151416750179045],[39.173185561405546,36.515769587725785,36.334707754676586,32.26426439488004,32.08531105591698,36.95305560155394,37.4295805131258,41.84876092920697,42.45154815051023,41.516856620088795,44.97168460833673,48.11010143314268,44.39644591975028,43.02625660276314,47.50061541062719,47.75629559631824,43.47563378365177,45.933185344782395,44.32558008992759,45.896310419681264,46.77023205134125,48.26664548406055,47.58478927956605,44.363469215940704,43.11444958820617,41.65105014766323,41.122428759608816,40.701532508763115,44.61495604931257,46.912182663096026,51.6406322462612,52.002965383953715,56.422558799900806,58.07771491596654,54.41590884389207,50.76826853518165,50.35462753885119,46.79262178126613,43.954900492280196,46.996945033191416,41.90990191240094,45.10641315740368,47.9502837203762,44.58672699334434,42.26584283296776,39.2964595969492,40.442304490868516,44.148512376122795,42.07628079115961,43.07864212147956,47.0370852658112,47.25696819829455,50.90900637371742,48.28637067489122,54.39420009604728,55.16047617539667,52.56465205334132,55.49473897485374,59.075422723814626,56.887782118045386,54.552294970080624,57.84705599862165,58.15148972322269,57.666571142404855,54.026359639945895,52.409807792034734,50.46063789435192,50.32855818924798,47.67343734510115,48.6358599588509,46.73262636463093,49.095158963425455,51.81793392729505,52.52410326418998,53.60361198741044,59.090490509196634,56.27090740486384,60.4637891472841,58.09810857741684,56.86347387578642,55.83721161359577,52.98229604922512,52.91772333069306,50.61254919853596,46.6266511193772,48.57027387996768,50.06453377898026,53.6740602545057,52.83606686477526,58.45852072730515,56.56591640439229,60.141052258386026,58.33293141428352,57.866619810467306,53.80114628707203,55.62220308431297,51.81559938089272,53.98621930760534,52.18385898379873,55.06193794001497,53.29129006175497,52.12003402227904,50.945153710678134,48.482668367236826,47.424678383363506,43.42901283740271,44.797394129993954,41.23970301103396,38.88566039564285,42.05014915196047,38.94644744327611,38.4334331763661,38.52118498236418,35.91900716610269,37.94623579069169,34.75869838720308,37.24358907953142,34.12264706705991,38.94137909082294,41.29098721450268,38.862486900987825,38.409815683903204,33.69190986579305,34.21242266312058,35.11287612475271,32.31604385857748,34.52397808918563,34.231400647425545,34.98832576264197,37.89262891182762,33.24715078186728,36.64272329361801,35.330988684910444,39.69363918327778,34.180748494184236,33.53752474286598,28.709013172999565,28.613932228890306,28.084156500359718,31.541536891563435,28.944021862898786,32.32002963561452,35.42910957601478,34.95305155479988,38.01334100134291,40.661334456553355,38.23028162683919,40.668199964882476,41.041354820142615,41.8445673971509,43.99013528259139,46.525564864460584,50.55358730334009,53.0583011248823,53.559017464720554,51.965032727577615,48.72829259555779,47.628169288586754,46.7076223809322,43.636398131293504,39.58314420040066,42.310042582788455,36.79006141276436,40.740461185783055,36.82781977541993,31.58520280219794,32.47447904811099,30.078172017955154,27.8736899995653,27.176229018309986,29.821281335456828,31.68498777398572,36.539896123360215,40.150106844445546,43.513379938410594,46.68991612870662,47.43721555761156,51.618238344260334,48.197017733060484,48.41112689808793,43.70815746691486,42.46575051849033,42.17673422293467,41.72278149682133,39.33081557138064,42.17208016828248,42.61519600273249,42.9622081054622,38.156046244937855,39.10894164165505,37.18015981813343,37.62996425075498,35.2867704797303,34.039145009333694,33.84533387372094,32.470209633088885,29.855805233165423,32.8562398647465,32.15212223025139,35.48816435741578,37.44590235853981,40.44511298250222,37.64464073946623,35.70827153167994,39.96700901275967,40.490390174266345,35.318116522835815,38.4036697913011,43.813339098174374,40.90107136887114,39.83646322185841,43.43474995678083,44.86955638033818,41.67556777911778,42.72463089709741,39.52892033161853,43.878294509300574,36.882757396804905,38.55490674965519,42.45991740665021,42.8739034440651,46.89148108375069,46.02739185267383,47.75569500162684,45.57138657653791,47.38141589779559,46.13307841406248,46.3148910026903,44.396855214269024,40.2673923697365,41.48073193968029,40.50798714293653,36.94883543396508,35.92956148131964,36.29633262476521,33.17717820115503,31.16060474709841,30.841970908655163,33.12937632501953,37.50128828439844,40.167459752831256,42.94499369544495,46.2718189527126,50.612690068411816,49.27838985897296,44.750610368383946,48.3709926445274,51.02437298804456,46.894226502669234,45.82854925148116,50.33167439918385,50.59517494476074,46.98920769877245,49.84189128593729,52.68682684206916,50.405519586119205,48.78413303645654,51.157798900429,47.85990677772485,48.77865509940645,46.852829541965804,47.25899203279431,46.719977674284365,42.399955877259515,42.245617045980985,41.90168724996458,40.03960467847814,36.73832448324591,38.65685906420183,37.267388535233444,33.765545355958096,32.5669601748678,34.37159009099858,32.90160636445665,30.440098463270786,29.767349726910368,28.860847098755976,27.89353902943344,32.79187700873084,31.509721056951385,33.62208789460686,35.254110422805375,31.303605047638605,29.346871214593133,26.737384192143296,26.26231689636326,30.040976276517238,30.91207149590103,32.433985187602545,32.576822153238865,35.368359004044514,39.3302989597624,42.28778149250093,43.49055416269076,39.12077170007859,40.183113626681944,43.96788538139709,41.0335643979157,41.414067269851735,45.71005298258147,47.994742432360624,49.500100403530055,51.72459574652629,53.0825981708371],[44.217013480885534,41.54002605489375,41.26037793396329,37.15039300694003,36.66220542603191,41.6012928967121,41.832776656083134,46.166073913774085,46.77302145495667,45.55601423947375,48.95518585934288,52.12878321856943,48.12735844823546,46.77360051744553,51.04624038263744,51.19407135819173,46.7492177278835,48.86077130330151,46.824925159666456,48.26360262518012,48.760717768983845,49.94019177381584,49.040437257447095,45.63342517671266,44.725299034453265,43.663330854352225,43.410734162782404,43.433895000515164,47.52337393603836,50.08463808510703,54.76065660880072,55.30975557317301,59.72239518316319,61.067887432108606,57.348188336006125,53.553876087345536,53.3054391493365,49.325326040859295,46.33874855325406,48.978094153223864,43.81901079930001,47.02486357949023,49.549032775333366,45.93990763677093,43.348698590898984,40.34132190614707,41.03255164019941,44.95994164938712,43.26432017683831,43.687429738075906,47.79747042165462,48.3897035794051,52.0885697356593,49.843592505871555,55.85861594454574,56.37043544292711,53.978612029998374,57.176005525619594,60.51565116313312,58.005585191698245,55.99930366406675,59.515366042088644,60.11756903144023,59.29716713940662,55.6025393174804,54.353194134601615,52.54653791490785,52.806225623627306,50.21592805794891,51.54795946329125,49.579404650444346,51.848872711153064,54.585723251782575,54.921101371696565,56.24077805048005,61.48053033724971,58.564464058242464,62.86128521745285,60.41456320153908,58.954536051278914,58.16758271900945,55.124515791264265,55.47474174334253,52.913584121049865,48.91237995370382,51.11578617308878,52.388143972219346,56.2903678786572,55.30229479843658,61.112565990311225,59.28190124468632,62.823897643015506,61.280776308840075,61.04645482130897,57.157669925411554,59.103684986331025,55.44375138077265,57.58874619755455,55.96096408044721,59.01775870067173,56.88442307719906,55.86374319089955,54.325526937400134,52.0356117981525,50.62946690944558,46.90874816411193,48.25340632797286,44.60125824744323,42.59214566817824,45.84081863258013,43.0036349075486,42.24817402574528,42.541020406318935,39.68870708460859,41.59554326037604,38.25143174905705,40.37959847538639,36.96068042856827,41.438670948442045,44.215969322251524,41.96384783598063,41.84517896931462,37.22426024877284,38.023657141985886,39.20323048611885,36.26455443068123,38.77349951642726,38.13311765327587,38.754771929176634,41.250448276532666,36.640378980732685,39.749437272355415,38.06653403751491,42.54108877166789,37.08276502307846,36.752557378322805,32.13480569055242,31.99081740555243,31.466195171332178,34.58881009875818,31.48248546995618,34.318037970628424,37.773533342672096,37.64751975102299,40.51017944141654,43.533662208955036,41.34357070405523,44.06997490502284,44.6265114977534,45.75184128594126,48.01616614704773,50.7255038233711,54.75350699947681,57.463162390852084,57.767001479626764,55.98891766893723,52.625573382608,51.47191669986332,50.29935532370025,47.18863988985018,42.81125092098435,45.25024136661888,39.53514026138613,43.19473047469123,39.01120366760468,33.67756039346571,34.517028507977564,31.631211858721873,29.91101261779753,29.595867624529568,32.431949049801055,34.45234842008979,39.15914968410791,42.86218224834758,46.31787825780915,49.69235720065441,50.55138636438864,54.57246733681571,50.84738273365844,51.08778675779851,46.12971302868963,45.419776151579235,44.64606132075162,43.822452714899605,41.50348214765953,43.98887125141119,44.47316793776717,44.25478560582662,39.240026297910724,40.22048646321878,38.244984368213736,39.13813617848385,36.914625520098205,36.07693918281811,36.058221767458456,34.826809169464376,32.736082674637515,35.924736900466215,35.6806588435258,39.18623074936962,41.10438544824589,44.27446244804333,41.67822636708897,39.80199634228919,43.98916751734539,44.76229863740952,39.7927659594565,42.75316026224738,48.13007058806563,45.508747215945,44.48738462635947,48.01098468434551,49.54796982950398,46.50079639057005,47.482080968095744,44.2358160866068,48.42549785003626,41.32079004947128,42.89456020166592,46.68567818304846,46.726106990210184,50.700082295447515,49.54944852250494,51.23826136777997,48.95084023256494,50.54065339914776,49.3361972075001,49.11770763849062,47.32103063950397,43.55455410222768,44.42593124316647,43.09363844077807,39.89727319635579,38.94644264573301,38.81311758330574,35.74728739206424,34.24835656257114,33.70730696911534,36.56906132999872,40.633753613873516,43.17769709431803,46.278384670890084,49.50839958117615,53.95615452234738,52.66907084060664,48.26463283053104,52.052189339722865,54.759474106127065,50.7695459866465,49.82740075041138,54.401018456871945,54.79734341872647,51.29808738134816,54.04074541226344,56.990362996701656,54.8969259086867,53.21790883850762,55.45448189078962,52.09134808241645,52.7761015434203,50.72957645068721,50.898738167412645,50.59535660702488,46.47601940884347,45.94955734357678,45.59819306196004,43.99210430735718,40.58176613507776,42.059673797770834,40.90858052339445,37.751694874758265,36.15032834942558,37.62331476261893,36.47372140518539,34.35395296663529,34.12496724277969,33.016816809367555,32.47546039270526,37.31435966015522,36.313954160738454,38.28468973619211,40.05780805865854,36.24072944494215,34.14657632198582,31.47204255098962,30.799744324983788,34.28875558988136,35.28408383958556,36.44539821995597,36.74006246626944,39.93038648269514,43.678485258049186,46.75356315291784,47.86627202567233,43.59625500689443,44.88297960068232,48.65278554159975,45.596777507841345,46.26516531430805,50.53304598846046,52.72306169953677,54.12922697141544,56.34665893521461,57.72662543941373],[42.89441039094871,40.41683340840346,40.41195194575341,36.55493516146891,36.76097581780675,41.52121209197705,42.169811344463795,46.6396169692623,47.12591906229342,46.23808321510674,49.64271121076459,52.86678535549996,49.23568866389107,47.68990212021587,52.19923587483533,52.564697634046794,48.26781447664982,50.64206181054957,48.86116717029244,50.55579795741032,51.25057110079909,52.735879116413486,51.86720412002004,48.548344699441266,47.537441513500035,46.1413823734577,45.81710618730263,45.48394344670393,49.445552589982476,51.82343767547478,56.40271432191247,56.91685232920294,61.30321343971431,62.92210806868566,59.30631221575361,55.606716059307956,55.310522935811385,51.657855381795,48.81504284423669,51.809974970322074,46.64163100925972,49.75664543185287,52.52812136969777,49.075158422931864,46.58492620163377,43.63532198173741,44.55757433854406,48.40419178679861,46.561691897076074,47.311111517458926,51.36442489380517,51.760529077857385,55.42540415084759,52.95421807347046,59.04496364318423,59.6784333958561,57.12355373738034,60.17098518451904,63.65852741662521,61.299337281653486,59.0406319504598,62.3674497220813,62.740208070543886,62.0538490494559,58.44269752937247,56.987568424150695,54.907734915916336,54.91055859085858,52.0993991605812,53.12753141764061,51.091908045142674,53.274478555053406,56.17523992035355,56.85253989779934,58.15204329400262,63.60835734919177,60.898402939747314,65.15627318237415,62.849790799162896,61.609309767938825,60.710441201510044,57.845389035175344,57.89962274856971,55.550758918513395,51.54825762169028,53.52610552217555,54.91364841100394,58.600537440440185,57.62745064013553,63.279096849952495,61.294456407401434,64.7686588449603,62.995667052248365,62.60332972464917,58.54420961222224,60.27489347248139,56.460218606842275,58.80876901126024,57.03797320952998,59.9416348982108,58.26572080567973,57.12704769119438,55.991041872608406,53.52821850984878,52.46673975257731,48.45401439268278,49.74549743669066,46.14084765446445,43.76586385876977,46.986222241561194,43.85298983866139,43.44874537413934,43.46535241919608,40.90527083703993,42.828559347546516,39.611942989904186,42.02665281538559,38.808568459860666,43.43416350227468,45.914713073627745,43.41086102292567,43.045468293989245,38.33494000627181,38.959633559650555,39.89603530762463,37.27128594120648,39.40694956950978,39.23573232670347,39.976614059628325,42.89943905681561,38.16791422693864,41.45788125615407,40.177555917042646,44.620755634914936,39.15912182277699,38.594037700863375,33.74293138670967,33.67777937537,33.07369639330186,36.53440276854592,33.737533952567944,36.94812067398641,40.13771769909135,39.81493162823893,42.880277385031725,45.58388018858067,43.18462480667073,45.65869612491619,46.06887360137084,46.7942061792841,48.935859107058,51.36955882885302,55.413214982764416,57.76316117998822,58.35426483012579,56.87027584030107,53.659038266919886,52.61755251835544,51.715459447028934,48.68810740624945,44.64411567534738,47.321042182427945,41.77070713448881,45.684228128560065,41.71668801120894,36.42941452203228,37.30330074986025,34.71411245110604,32.63821767863668,32.09650580772125,34.78578552185381,36.69979446394666,41.5356997492611,45.16583479200871,48.54356873799938,51.74435555306967,52.47859894577634,56.666816914729175,53.2057654649914,53.421803756322355,48.6647800223833,47.495354578478754,47.087102618615106,46.52081544654012,44.189454884822794,46.956191723472614,47.40888342673277,47.54825749500754,42.624509075880574,43.592824166651766,41.605723198030645,42.25632806223042,39.88106569943372,38.728529409065516,38.50174253539817,37.01645853559041,34.5780310734164,37.48335631186125,36.72239921622314,40.20300133258884,41.890107887152865,45.0229054028269,42.30561736052437,40.09795809976571,44.254738794601,44.91455247641861,39.597496815765055,42.47770579821939,47.98326623871492,45.0882642093793,43.784806223079585,47.294426170046215,48.91041808490558,45.54539525116609,46.30879019618085,43.11674319306254,47.340999868402,40.13407702005822,42.126091364693025,45.92893589352442,46.17920381117613,49.91480690468001,49.14245552295058,51.219595086918225,49.222537273564996,51.12529414489704,50.18170789482556,50.1394025459272,47.99183026627327,44.20767757209358,45.50914634440069,44.14756090370249,40.63176478755367,39.94781771222099,40.23302655155384,36.743142531236835,34.95296631551719,35.10676926774944,37.42626192357307,42.01687320614599,44.51927184552493,47.26425967703124,50.72349191724358,55.00164908906079,53.8822955124271,49.31158211664873,52.754261952425004,55.568089694799426,51.52285962063488,50.25145298931734,54.717838230955415,55.040968147493025,51.336046084943014,54.00716231075833,56.880027868566465,54.6068300995615,52.77918169736323,55.05403870961456,51.72926180908485,52.71015489554565,50.97654616561328,51.181047037656676,50.43771060440698,46.351790329023416,46.2078526879222,45.525483356536064,43.69156507424716,40.65600987277966,42.19304432286807,40.50813410413529,37.35918088699456,36.29200365902519,37.55816233918702,35.86821714761941,33.709530789605004,33.29966852392825,31.74809681714177,30.942646589488795,35.82424914289378,34.98969686441361,37.45180609876754,39.291958806653895,35.147927581591254,33.345458333063185,30.54034004857564,30.392592123901867,34.228345920145955,35.47532844976141,37.152685584657966,37.43387332275024,39.93240427919448,43.99900633690301,46.83034849859242,48.23432723781096,43.8080737282141,44.61015082791301,48.444570542284204,45.67764042531178,45.69917071452205,50.0327382053746,52.41848686602179,54.02982441996074,56.22827813345882,57.54479282752306],[41.93944905549806,39.646002929305915,40.08886027736025,35.79837687884608,36.732413005658934,40.865176961685385,41.52765634451925,46.10284251344304,46.05620060970543,45.08360840962027,48.30654814079291,51.78265743633751,48.35620680554176,46.31805688681171,50.9067862496259,51.60760550420845,47.36268543645379,49.68557786388173,47.82249349049809,49.98009390265148,50.59890364627237,52.482385375934506,51.402429113805304,48.14262031312024,47.30635105895475,45.5504382419157,45.51373636131824,44.97281857890434,48.89172767996891,51.350100393495396,55.42152488186541,56.34697409473297,60.583296604170656,62.24886919671757,58.87338398722503,55.13553315469751,55.182480927159155,51.62671913917639,49.018432008143755,52.5568644602113,47.11605745084554,49.79203144576977,52.82861129394221,49.550063065943846,47.02426885137524,44.35134739660065,45.43359447107918,49.17956810554187,47.5374724765749,48.73041456124271,52.781978367535686,53.01031186392641,56.54309639413065,53.859645178099605,60.09115443560438,60.54582829750425,57.695521188433425,60.687609110039425,64.22377067660445,61.84672514224992,59.187156173503716,62.199144011467254,62.340767911036764,61.52062795921055,58.114202757050386,56.635366672792244,54.011127380590146,53.95432744952587,50.72692865766736,51.62212859823651,49.362268342433346,51.243518429378454,54.452778610684575,55.3517103079553,56.942030831504965,62.519014535833506,60.21904626827776,64.52939164831542,62.54004685519026,61.62237609805698,60.95167778580734,58.45697836419894,58.51720125432995,56.55341384393127,52.41721702042121,53.98103122501058,55.08843981592714,58.688428972067314,57.31661482365184,62.817980420230136,60.485148065588724,63.679512569283915,61.80727201143617,61.481885569781255,57.383873091692436,58.83073738827687,54.987918340095064,57.82518327567941,56.183127781895784,59.2916453244687,57.912161043857445,57.16481435585562,56.183770620515254,54.04072334061905,53.51688725049969,49.41012368366369,51.08083437771416,47.7326907056939,45.07765482718387,47.95820551086969,44.4461476604214,43.86480244083339,43.30465963329793,40.74338309808553,42.158479023557824,38.89755945264485,41.238153375750656,38.012123431740754,42.35647272189552,44.7851196036033,42.0211304550437,41.70874731376769,37.043599582041985,37.88629018892144,39.005785811019685,37.04361367115961,39.46476685193302,39.71308726148838,40.91084215768684,44.172197050197674,39.7961214758439,43.480641825861774,42.27153203812976,46.41178439460542,40.7674269178192,39.62871183609868,34.97557335787803,34.232790448650775,33.07156733643285,36.76291354200854,33.7121755501354,37.01210891113761,39.904244215167495,39.72992323217557,43.02054821064841,45.47105318899114,43.02447828481682,45.47575653909747,46.11273197573493,46.48881189998316,48.918620775113425,50.89754712908012,55.1683556994981,57.10661761890218,57.63648707758435,56.45869745904494,53.22508862697612,52.60125530454807,51.582825583606855,49.08594011524201,45.16325206353603,47.612164899564675,42.22445863830947,46.36001975140008,42.85116627992991,37.55216990354393,39.00786889582045,36.739056993882066,34.75372074451246,33.601139684152,36.32122330561612,37.69937510432016,42.68087238138395,46.2015463133682,49.35708544221929,52.52056111189844,52.78322105380026,57.32435106079747,54.046392629331514,54.53814505752208,49.98021610789187,48.71445751863444,48.87689055537086,48.593587251045584,45.99574465137001,48.54210562437272,48.540989786339765,49.148939786632575,44.110730588313345,45.57420741211562,43.90716341743159,44.4037155924703,42.3613567754802,41.16353268267775,41.08604862880192,39.81572159897814,36.95798256105577,39.88913398664776,38.86261656937778,41.93015527742362,43.942440577018935,46.69341661204243,43.62479049796347,41.666638056298424,45.928932819839034,46.05411376828445,40.57643084657858,43.7655914480165,49.18712693790016,45.689710710384944,44.44129721125695,48.095717604546934,49.334017374783436,45.65886408090871,46.69158383714095,43.70470886737169,48.243932212062646,41.36183383835341,43.53976357801766,47.486919636088516,48.311448527184695,52.04710158917446,51.66573034497816,53.76481915411779,51.882629904441465,53.97157550751653,52.86687855425936,53.26303353112391,51.11478979606175,46.917080632881145,48.45555054262556,47.53974762685195,43.76158770533166,42.89038354362317,43.54840681288272,40.21847362849842,37.98875817191438,38.03724122278044,39.87658167939985,44.46732567455076,47.194447592954084,49.68075389917665,53.07771294938187,57.28752931394451,55.9012964099802,51.304617605390476,54.702994438685344,57.26622464332765,52.97307300166717,51.765458577323834,56.09679406759525,56.123729318697144,52.36726545301836,55.34285228588219,57.96654054680726,55.30398204574136,53.762690857635235,56.3142773350016,53.15834103129945,54.48729258577322,52.8647004590854,53.45427218299598,52.46807583893951,48.08046387549839,48.43862037895393,47.86066971055625,45.70364563438587,42.80030587882723,44.91516466953441,42.98590134320395,39.42509790711969,38.85644560291758,40.51381823828541,38.46418188116953,35.92998881654856,34.86032845151827,33.564958762827175,32.02121021388768,36.90367578318195,35.53092121299953,38.27538663889567,39.58481579155769,35.20931180479046,33.87577965186091,31.41365334335763,31.603594401464054,35.811425597708975,36.491499826257616,38.53187304592493,38.220414905748186,40.327121360143074,44.63719046501885,47.35585800997744,48.45093881816308,43.95141821539374,44.608800599563025,48.201866839976255,45.27711883860006,44.96607470089852,49.25917437303918,51.55671699791886,53.299496457725674,55.44288111255779,56.828986847992404],[38.80047428713392,36.682748933603946,37.35302419032532,33.21678427137799,34.724117838115525,38.57217831388659,39.54661554898423,44.16988816027348,44.01053365226315,43.339942650640374,46.5367841450913,50.00382777380623,46.94708292531262,44.7968903785907,49.54865803022331,50.42011139360493,46.3823902794371,48.967575929123775,47.45495947825291,49.79126872312429,50.67830046569644,52.853044327506744,51.903489294756966,48.80791601662301,47.77279773174675,45.67587170410764,45.484011189214854,44.55865061389997,48.279966606962624,50.5008676514365,54.48139666813521,55.31543627903587,59.49812278129656,61.434138218595166,58.17442749368805,54.58242723450398,54.546216015076766,51.38449374911737,48.9574567219988,52.83438731714849,47.46952114097607,50.05142008890392,53.332578669289106,50.277650331231115,47.964447551313235,45.38932830580011,46.76717289452756,50.30803558701846,48.45181720252826,50.03826606284733,53.96260818421318,53.95548055805143,57.4271851259425,54.44431329884161,60.71648448138165,61.34492704322632,58.3223926522544,61.08213842576693,64.79463086010215,62.66304019418449,59.72864203758536,62.51895282474381,62.39750344895743,61.812009135853025,58.49794791050782,56.75431694642939,53.94108099551852,53.566934733280476,50.21957340600458,50.76956580845016,48.52438635252246,50.38148746015908,53.642896314089015,54.89239592643581,56.347878666274525,62.11723115986521,59.98851897485902,64.19928182406036,62.34064066875759,61.653697926670574,60.83273707392465,58.54601624849193,58.275205305418005,56.56847317590624,52.4743072114036,53.771352004292204,55.0106965354017,58.33399044078543,57.0339966107208,62.318944701383046,59.88749176880293,63.032488767527035,60.92778424338685,60.41735300242304,56.18010756196616,57.436548378874654,53.47524125940757,56.42676891017644,54.65539076850859,57.59441520747314,56.636282619652874,55.80099052513029,55.201158341474404,52.94654236867171,52.797720625513726,48.47305431260785,50.154680036135645,46.92740821469328,43.96718577313762,46.72368856584865,42.9585226071957,42.63932636198907,41.804113144946534,39.544717992431785,40.95237408974904,37.88362832333504,40.48038363412198,37.5482512859034,42.03337906151043,44.07964580291116,41.13382440683237,40.5474357584288,35.876955600919416,36.50168496019802,37.36310645333658,35.735248745079694,37.81836963268353,38.4914959261796,39.833557388900765,43.43921591069724,39.12396394733615,42.97870995177935,42.132311535709015,46.1120252906651,40.52068223025616,39.10988550910354,34.395024705104795,33.66095414905612,32.43473066323306,36.3500017195018,33.72307711280315,37.38892388955459,39.91925344025078,39.50145652782198,42.93165328267765,45.00882571713541,42.38742141468526,44.5439520063684,45.036960233088706,45.03767325279666,47.350195161156485,49.04802571540686,53.30371854376623,54.91777977814692,55.666727973718295,54.75348154176498,51.68160118408237,51.17952829711186,50.407271649876485,48.04390090683208,44.49268379156315,47.12545705946343,41.99636758288969,46.33162473878371,43.11960327156729,37.964794659442475,39.476731108564806,37.60896178316942,35.32739387127386,33.90002115015073,36.41047373315935,37.597774886674,42.61430216843332,45.99887258866944,49.018491409684934,51.97170753915706,52.085396522682075,56.76144615288536,53.78815763236806,54.27178191326838,49.98477633899988,48.283416010480806,48.86620095004324,48.88315270398982,46.26009215485627,49.04257404963604,48.98344654376812,50.01239196622953,45.16930326622961,46.62401347950775,45.02010917267511,45.164144871294,43.0692598031702,41.60035474317171,41.376057512159655,39.978374172345035,36.783061168460144,39.46078716042087,38.01275771842081,40.87559565100879,42.80240926148371,45.361823403610096,42.1562124066597,40.09748031720293,44.31151746690229,44.19508706165977,38.547273309557546,41.74670820346286,47.141391885732084,43.35081145785335,41.98536002937778,45.639500813457545,46.789201484271544,42.904789691191674,43.90558065023073,41.040726903550855,45.66286777052171,38.94897529501735,41.339506832201955,45.307009356978526,46.4717443443477,50.10138153461726,50.047075238023304,52.28407970366886,50.611402867073515,52.92791538693233,51.89955818636657,52.59851075022784,50.286838770481054,45.92229324139733,47.7935936521465,47.094278638767335,43.05936800520428,42.25619310738738,43.32537560944989,39.896099560157275,37.32614559035169,37.734769345109044,39.000106862461266,43.850357488143146,46.59310075243047,48.719688948281934,52.20613798545863,56.24316471194963,54.88669490692059,50.215432518426134,53.34368238998138,55.86699214670963,51.504488586769355,50.118110723013785,54.30066562534054,54.19568372216959,50.33816771114143,53.3423221349057,55.822162722919956,52.96582103880523,51.44838338417467,54.092527254080906,51.04340756864308,52.63843313365099,51.23640983717008,51.99567453283398,50.7004524573607,46.247921906817595,47.00162224435864,46.31941576901166,43.93772520160717,41.310190959748326,43.69340214659132,41.44291389429989,37.73584095149817,37.65771016716673,39.397417987465325,36.982976509644296,34.276156254297035,32.846823408350836,31.54539956376743,29.59633013543118,34.39201843865723,32.88767892454698,35.9031072576781,37.0600841534858,32.52865562098677,31.511814074863413,29.159045725473682,29.735488698867115,34.15458616692663,34.78841011254693,37.22878595410546,36.76981840167185,38.27301803712047,42.77349407901809,45.271727877649624,46.496269516833976,41.930930236581034,42.23107535668963,45.780440102421444,43.06865831639516,42.27834703872009,46.58052628303987,48.98449089930847,50.85801532221746,52.96266666399754,54.31347943535018],[39.39115274632005,37.53646531497514,38.540684983811744,34.46642468759029,36.59119127026673,39.98503534405627,41.13960782450816,45.780459846909665,45.324145893933725,44.76635132247369,47.822426052143214,51.38501705679034,48.61587920552089,46.18325832244986,50.99363199705731,52.09864421414535,48.19246033078477,50.79920992303983,49.33352535458653,51.939156086758,52.8201112709833,55.23147291616602,54.18566559859183,51.15941756649653,50.21348893186668,47.904613603617406,47.83976314472105,46.74112529929033,50.35807773458576,52.533153821395395,56.19423575738189,57.20648928386951,61.269977223161725,63.3019866233813,60.21656661613933,56.66793013729621,56.77580695462944,53.7818508384803,51.520315362528,55.671809104482136,50.23862132784787,52.58224009741001,55.99917408604152,53.074760259256074,50.77131344496417,48.347752896748496,49.79328035214204,53.2698341413795,51.49979632109745,53.27204475071707,57.167173929772495,57.09167676499027,60.479814201670905,57.387144997676515,63.68792180640379,64.26776667599523,61.10831791696202,63.790141681961806,67.53423669120772,65.43007673115322,62.28796521501052,64.87724733510004,64.59680069152029,63.971657827317216,60.798459372427004,59.02042204390038,55.89704285495083,55.43579225915586,51.84683708662281,52.23192004200368,49.87220909403114,51.505042324670484,54.954449941023036,56.40836321730833,58.00478986812672,63.84650895694988,61.99929239476007,66.19620875899022,64.5415247769124,64.06416544561134,63.32570163016082,61.25833936445043,60.91533320291383,59.43228116249705,55.319598663141065,56.3779332512454,57.51521585863781,60.71507272319349,59.24734906998496,64.3752646034767,61.74869381757478,64.70619455785129,62.49831271468421,61.97527582159663,57.69968933353309,58.72127051969569,54.72972606163795,57.96990036724417,56.22444451065128,59.16582431802961,58.53149931890192,57.830240839861695,57.45189957395291,55.28905155722851,55.473246840134706,51.05477545906009,52.83568188896393,49.74357233405806,46.59380719457491,49.18492794733971,45.21456184097769,44.97142065147787,43.80849081377695,41.70387573365604,42.86351820320456,39.880351734406034,42.48050294598388,39.655244607949925,43.95406978256609,45.86590839629607,42.75771449037392,42.13040097433328,37.55264251412239,38.20833796378069,39.041883045050206,37.87366441542447,39.87727773105775,40.89033155317765,42.420669393471364,46.2357198131554,42.06671146413682,46.04244765307522,45.35636213145341,49.18700044674362,43.60633773338565,41.95384405840439,37.32455121512713,36.393451967371675,34.95311178551505,38.96487403500125,36.35954379525328,40.07509703414941,42.377274667548264,41.98685273144361,45.51236155744135,47.36808883414096,44.70448718904108,46.73751109121337,47.270042511565364,46.97272612297419,49.32470083845971,50.68543714815656,54.99128777672415,56.241294072646596,57.08369682205533,56.445838316351725,53.46278061335957,53.19314962069515,52.483597666971775,50.4014153448494,47.05946227388684,49.636705441312735,44.68735959262245,49.122669340617925,46.17337352878979,41.08133313530932,42.782418878756474,41.088327185729696,38.79652951199704,37.158981808574815,39.60803731025547,40.56815354548176,45.59718691514874,48.88173523760906,51.76229246846981,54.61874371290681,54.50141671061742,59.332898689102166,56.535591646447635,57.113245549501634,52.9916469831435,51.141020542565265,52.01969634068084,52.19436273871098,49.5062403964797,52.25626581508291,52.02632398994372,53.27991757437769,48.44505072239309,50.05967091095603,48.565503626471866,48.60806191059428,46.60137803062952,45.069919548393806,44.83502241861997,43.43448299128295,40.0786244302835,42.63368255611351,40.95442765887008,43.63411522899315,45.52580899948132,47.911658093925155,44.59487171449231,42.50951256383918,46.65954105453717,46.314975099619026,40.56026581237692,43.754204810456024,49.08581412163767,45.00639901603743,43.538724058208125,47.16622730245211,48.1962047973872,44.08531840479917,45.04691611021401,42.35276902843418,47.01733554419851,40.49886540824682,43.13366502810481,47.07361732840885,48.50443811084005,51.95101991339111,52.20055669019224,54.61321566040143,53.143794641997665,55.63063926048993,54.69285683314449,55.56678747664505,53.123886477225845,48.712296602070175,50.80108633896988,50.192290749337694,46.02120829126938,45.30338297242682,46.59802123728153,43.08142502449104,40.358383841542995,41.005310203908536,41.92947998753329,46.90480490797847,49.65249706705397,51.541019992696775,55.0663988190383,58.972929327667124,57.619956012256615,52.92307212687077,55.85062635867393,58.31519786619847,53.89647696700467,52.39806363190918,56.43005372472154,56.18856166565605,52.264559473499524,55.297553852264585,57.620196604015284,54.56472079774376,53.09609415461519,55.8195473990274,52.890870481932126,54.7289560655678,53.536036773313185,54.41505241502786,52.84636172708691,48.38908530167354,49.465994755852506,48.6607912727477,46.1143089597405,43.76248957978078,46.2775408635385,43.73929021390921,40.013168691925046,40.32747421106994,42.01404869112344,39.298128391099986,36.55269932823249,34.887032204927245,33.457833847001915,31.198462473615958,35.84057568055817,34.29559675058629,37.59950918821627,38.56001891123378,33.89429067583255,33.258448587009894,31.053859036255126,31.99311255567134,36.54690285547575,37.096393669926506,39.8238191580725,39.16546625511914,40.17858522676115,44.819307134710634,47.11600001801427,48.34136768754009,43.75201845614551,43.75238250219247,47.1670320223831,44.57930673448276,43.331995963999454,47.58329009574395,50.010971360243424,52.014497296869436,54.05015044275555,55.383212279714925],[35.82264257394443,34.105667130342674,35.40809949909806,31.095468650960647,33.75137970952696,36.57979313954863,37.79771425850217,42.425182061102035,41.65510974319188,41.190951083002275,44.11295257038091,47.73411205908827,45.2672530747542,42.61000176952866,47.47912253034479,48.79353220057046,45.083091690891436,47.80531884456695,46.58617236810118,49.42990717031702,50.482284441125636,53.21320351487869,52.23045540752515,49.40459011398078,48.34852436205579,45.69322659305369,45.60057238696568,44.172771930965375,47.583228881360064,49.61059395568128,52.98273588696051,54.08338816635832,58.01791085857808,60.208847229894296,57.312731148563174,53.880646118805025,54.06904108125855,51.40169719490821,49.38687736261052,53.9345169848566,48.5252577206151,50.60298459279901,54.253407959035705,51.60792170489175,49.50010826031331,47.292936903414024,49.02118438356296,52.23782378893645,50.393405389531196,52.62764551466068,56.35867446868523,56.03620239628842,59.27416688364485,55.91401905909118,62.2258098609472,62.867237839724616,59.50710722569886,61.96326418295277,65.81895004723101,63.92538002831663,60.45685175508191,62.744947574442385,62.19143408335666,61.72259176887259,58.71059170461744,56.73016195143086,53.337548382141925,52.62027573049868,48.87071497733838,48.961226615000285,46.58252681567901,48.113795774021064,51.63276728792531,53.38940383956079,54.93954260792447,60.90383510673186,59.31455799242167,63.4194152490659,61.973913245032925,61.77788195900135,61.02655029392049,59.270277117819894,58.72330117458997,57.59274298536131,53.49506313885624,54.18590980342658,55.279596578844554,58.227296039722084,56.67171891037187,61.55115771493246,58.76467530725854,61.58006319860492,59.202051443444425,58.58560346500914,54.250601707462245,55.05681410271501,51.025459749214555,54.475508813071755,52.73509822942704,55.66720365837407,55.361166355222785,54.82286034174932,54.69616079442908,52.68094159441506,53.32638547199743,48.82921831553923,50.82844753550284,47.9996964807078,44.630432540778706,46.90453904321726,42.692025852658766,42.42828739711659,40.853278266647614,38.92576527818348,39.81173746169433,36.98490936486197,39.658460583992,37.095991359499536,41.31913640621715,42.897801445419866,39.632514908518935,38.85070016778999,34.385731345411344,34.98343283711869,35.74884205578118,35.1087923682708,37.093114570578855,38.481394788090604,40.30950650703887,44.376924079402,40.56056380840743,44.771580799941,44.27849357638713,47.770432110404364,42.21594222080054,40.142359632738724,35.73705643282926,34.454417233481834,32.74799697466681,36.879395044485356,34.52207322410691,38.43333423233135,40.301972055545086,39.80397220392888,43.439696537947356,44.910565252301744,42.168750871047926,43.98362799402435,44.542962461234524,43.90099851807289,46.32482422843967,47.31828906011987,51.69203623630381,52.61379034244836,53.47485133425561,53.08920448460861,50.19241051274983,50.19114751108718,49.53850552891179,47.82281643762338,44.781004995123624,47.301748034428684,42.674750028569726,47.250570201147156,44.75739616373142,39.866594727894785,41.84498892581686,40.60402446845364,38.24173024853346,36.17046253568921,38.4460194582649,38.991934910891175,43.996291860312674,47.08507357528981,49.72867504341576,52.41215114924948,51.98205117010333,56.9973181808938,54.49189005633687,55.198110486323486,51.38737335299401,49.286933519096756,50.68613312567593,51.17913195180774,48.36970231557277,51.10090225780827,50.6221474763726,52.362837792683486,47.70058242262946,49.50248554620569,48.238517673580745,47.96852081015025,46.151597768231944,44.480925148361315,44.276564781446226,43.00620145288225,39.31706211863582,41.75179506621945,39.828567825787985,42.06648760169115,44.179513704888166,46.16771264407763,42.62353310009126,40.80988617232371,44.96058813149064,44.1505439466276,38.41826302613637,41.8311666108923,46.95959920904479,42.4587365701319,41.12295874803517,44.82420092209482,45.48010404439145,41.23906290324966,42.49317951666808,40.01860743569615,44.89937255816407,38.87044558471055,41.47738135603028,45.49059773803774,47.43222632625463,50.94210712917021,51.45902121812577,53.71994242566565,52.3174563817516,54.90435960389836,53.777087691129005,55.08230398540507,52.72463190761068,47.945422786712655,50.20292200802686,50.085636092554985,45.74484600798728,44.81988794863182,46.463315766649814,43.22551161248699,40.12638075417528,40.63461770224881,41.052469487025974,45.919839776129535,48.81086235157424,50.407068348916596,53.817799931452626,57.59670395965682,56.03003982395684,51.376751518513885,54.21327934871626,56.41548349152173,51.85144087634437,50.435627027481594,54.29415492365879,53.80523208858733,49.909925083957084,53.180458898230384,55.261809921091924,51.9328629133914,50.76671009373322,53.70565499533435,50.96506825613467,53.04574593414489,51.91886298960821,53.161030339024826,51.46842517213387,46.76870309457425,48.252778817503895,47.64512132589719,44.86817982145181,42.61141503578772,45.670141366750485,43.08139875960316,38.98573757520607,39.68650579026465,41.82076392302793,38.95701741010195,35.87334014683916,33.616586215709454,32.699847306284525,29.839107747497863,34.31069386602363,32.17694835141542,35.50895246508643,35.94053468905699,31.265967074333265,31.023563772376665,29.261730102821417,30.39247273425905,35.07289361526258,35.080735032587754,38.05018403338557,36.940760869048546,37.54403110281897,42.271477379061125,44.424630194739144,45.406748262364445,40.845454171735874,40.720204241792544,43.89138004618187,41.26015912108904,39.771302003326916,43.93051432123076,46.274686430311846,48.34955837454624,50.33092580609501,51.705559059859866],[37.46193721206752,35.98695372009975,37.32768785721906,33.76336933366612,36.670725430131085,39.61901257444381,41.244697742217504,45.853962434676596,45.28245851496342,45.185581525485276,48.15346436009034,51.63755801667606,49.4202248455472,46.890094643040364,51.839906922955,53.14837133561719,49.56354395588247,52.45245282186583,51.41314671456601,54.18457267614057,55.34684559457714,58.03760192952567,57.133188049966904,54.29731461706631,53.166763596806476,50.539238755059706,50.304652597034746,48.80044370056775,52.13653450669046,53.98983251193332,57.5067503847163,58.380458047666735,62.33716488883441,64.69183386438492,61.77115437802986,58.43695068355929,58.42595039265414,55.92663628445282,53.880657846597146,58.32175885570929,53.0442079362146,55.289714589862,58.920423471146286,56.2384481113841,54.160123932901904,51.83105806368257,53.53045270299317,56.80114778289901,54.82342491436488,56.92394939978485,60.68003209638302,60.38249215681914,63.702898163400846,60.3406515011856,66.63157985484855,67.39976037937012,64.09541779236187,66.52317473988882,70.42988361822053,68.59187632435791,65.20470055637722,67.55072103957286,66.99165601934116,66.62260888275483,63.57055203908773,61.52780369803079,58.22770022629706,57.4174803736512,53.72422242237236,53.69358705857451,51.374097867886,52.929688532054904,56.41948834263745,58.27739499492237,59.71358485732526,65.72304833056081,64.09527404531384,68.14303682649663,66.64708866122746,66.42478674855715,65.50717945740726,63.665620200016896,62.939157633758995,61.7289111045072,57.71581308904024,58.49759246243682,59.79809419310677,62.65361095998657,61.3032045500488,66.13576875000543,63.419919215357105,66.28893017436134,63.817554711687556,63.0680514211754,58.65964550979204,59.41718116428779,55.31357943932478,58.666016427486504,56.75883238365471,59.41127810931575,59.35388311762195,58.49776085839509,58.62498281299597,56.29274281471723,56.88728047220866,52.24920404009297,53.94127475189072,50.99811428697843,47.531138682685,49.98294277099782,45.785717731152786,45.95576355002973,44.510608749473676,42.86169282186761,44.030808051827556,41.35743412389985,44.22036825868107,41.790634758742584,46.16595554111532,47.60982975187187,44.34067798555998,43.389364683796494,38.91078947154516,39.26420195815342,39.71598508448199,38.97556123748017,40.41649274396339,41.94515696317476,43.559189621698096,47.71001766228578,43.602605393033556,47.64648395194471,47.41688198179246,51.07102418084057,45.665239228577676,43.811039098205136,39.15490459621105,38.36699736811808,36.950079208308864,41.108799913353955,39.03998159294382,43.05624839169558,44.965833654423136,44.30992358001382,47.92160863242538,49.34284362454473,46.51503040373278,48.153478216889525,48.46945506991639,47.704406460336145,49.815385734864506,50.79703688879988,54.99168423943067,55.76996443475865,56.95336556225548,56.68873072907089,53.97964084819568,53.8402558359398,53.49329105794978,51.55386803977181,48.723939982695924,51.51805217191153,46.92427170324653,51.506077111790425,48.86697070042628,43.996770018956056,45.651727580545895,44.33795136084557,41.754814660183634,39.95861692132593,42.13416370744653,42.94779702930097,47.923189575981695,51.02185355649508,53.736884003834795,56.30785569992881,56.06340970163173,60.971793005023805,58.55431131041122,59.07948326709775,55.28903483916557,52.94653212321102,54.22751522082624,54.697836189189466,52.05631879818873,55.077803850825084,54.84635469516817,56.476569871873615,51.882131260060426,53.40981161893856,51.93583424667108,51.65318366333955,49.54339791531593,47.735144308153494,47.29990834166638,45.7073364165262,42.09789540092947,44.26847464142558,42.108062862748575,44.57822173831751,46.19869108226459,48.387090929553466,45.01793470177846,42.71306566111962,46.67182881561886,46.117316817633146,40.21637903076228,43.23670595027484,48.47690497013611,44.13670012233778,42.42871160676538,45.92946744528225,46.9301670979781,42.55913115309259,43.29819625962952,40.822872080983124,45.426336377582295,39.177199853053025,42.165702978089264,46.00110195551419,47.769070467004184,50.90392380783233,51.61063175005895,54.30954528326656,53.19540890477525,55.97012012507621,55.264229860248854,56.40738060183354,53.701372008255525,49.28542969662818,51.78376197617411,51.29310498118899,46.889490729257645,46.39378769433992,48.129204193462336,44.40772451594469,41.41700753912238,42.64925739116747,42.90955582914684,48.205160230239045,50.86054790206749,52.279930696053206,55.93330015748009,59.55581112588251,58.362762503901315,53.6067174465315,56.08208834506685,58.55151784501286,54.15066379238232,52.34796008194472,56.12648946544589,55.76173988413027,51.716817996212555,54.64435484570741,56.77397824115195,53.530973419186445,52.00112021007274,54.750689804050076,51.985244027122135,54.15841461836022,53.34473151163725,54.32960940042037,52.3074560370806,47.94791581924914,49.49832063806215,48.43227502823144,45.66363597937727,43.814277314969004,46.452615622079286,43.44920136745153,39.77320183527315,40.730385268726046,42.275371845486,39.09146674484334,36.328477828256865,34.37772298732289,32.72392660450226,30.096717917347128,34.43224010738965,32.98836260781642,36.6922909519008,37.55385239890141,32.759755221574494,32.6131032833379,30.536779630028068,32.04991073553109,36.70879925566312,37.382157248680784,40.57036627708409,39.864362647068596,39.99231881178692,44.800778668801065,46.71660939950727,48.212920342700535,43.610270696655675,43.028294279297796,46.36282821508003,44.21643149365411,42.20765965344942,46.39710760241707,48.98388509093333,51.173797141594335,53.116068900627255,54.345613516483475],[37.71644918082385,35.96196821354898,36.877869511853795,33.493402439956625,35.72563599132526,39.348670559553696,40.907828238944866,45.525577648683594,45.40451103646757,45.281691195536595,48.46342619697177,51.80714143353459,49.28592541604485,47.131952728318296,52.061512459167005,53.08055164904387,49.343068852488976,52.258983647326126,51.184449661644855,53.614021118699284,54.79697254792526,57.17667791699122,56.39263124731611,53.44312053892532,52.204136464670185,49.857173543932355,49.43936558587117,48.13751574930259,51.60669827007764,53.481201912172985,57.460098458797255,58.04875981606692,62.18202764641705,64.46327472462148,61.30122815204769,57.92401608903894,57.673043514042355,54.98971536283865,52.711719790822684,56.766955072320506,51.60033696881673,54.204360916277366,57.6524981889529,54.77538461085885,52.66776751073466,50.10223186678219,51.68079145027415,55.0798669672562,52.969446560078175,54.7549399014165,58.56954909865811,58.39679507082807,61.85599074303682,58.64941939814002,64.90207023342188,65.76438968968941,62.657988782161254,65.19204830937366,69.06878471132102,67.18676466478365,64.10221980558592,66.73905528537146,66.39523430167336,66.07738486387257,62.82620833658948,60.82773745397105,57.93107687556191,57.223559819713266,53.8245437541945,53.98357178635938,51.80063992613555,53.634154288341094,56.912815619424045,58.53421007129584,59.79309314282703,65.7360388078157,63.73883338681056,67.80804963507357,66.03202632056279,65.52389517321309,64.4586208398061,62.2943165290187,61.61399546671374,60.072601745472454,56.10314832370172,57.234738544045975,58.72937082671569,61.73328127003434,60.64913165696786,65.69131773683719,63.23433076838604,66.36077887460172,63.99583374157967,63.230559368771225,58.834873133354286,59.87900552923507,55.77619697208548,58.751766035109924,56.75188668930674,59.3231590331605,58.92626891505994,57.781936240380475,57.70812040402681,55.13136668340594,55.266399880875085,50.676344739494105,52.116755146098875,48.93204258957035,45.65949908161361,48.42053044475151,44.47767820171739,44.72442073604758,43.74498967077636,41.985927382348066,43.57206971057595,40.81743302945015,43.74683631765119,41.19663459460033,45.856489004489696,47.459815268131265,44.368768450245916,43.42507492713086,38.790660963574695,39.04267701220592,39.436441031695175,38.072117144750464,39.420420048220656,40.57759428357376,41.868813445055835,45.7993947287366,41.35871804704603,45.181040464765665,44.855545453501705,48.78824250604161,43.41632889691321,41.95954631808721,37.06804870842203,36.72646390307296,35.67190627118191,39.74176980339968,37.71801472165867,41.7124601486039,43.9371762297398,43.20704914292058,46.7049479355647,48.406450197144295,45.5946346508949,47.345638828662494,47.52935776582347,47.10237776581071,49.06099913962347,50.4855719355218,54.570331609220574,55.77827910154218,56.96156430573338,56.38001054815288,53.60736939342195,53.1149878170106,52.7925363904002,50.396880941735766,47.35728067112161,50.32863632313401,45.49277124581113,49.96135124436629,46.921405820045464,41.95766682528043,43.252956904815214,41.67573012416194,39.0187171106185,37.603407027959165,39.82554798756656,41.0387529290302,46.00276087964041,49.246651422140594,52.17908612971692,54.84726232508577,54.97129431506786,59.655735069813204,57.024215310809026,57.360302875979464,53.345625420497974,51.106894967195736,51.94654375929341,52.192921624602654,49.703013136449734,52.877120206833936,52.95884057322338,54.23863404441967,49.64107237625778,50.86630962390609,49.163503431422455,49.02035444972391,46.67429840591587,44.893556877575634,44.368404649997885,42.626383448431504,39.26142135183251,41.47821962983528,39.50216603974449,42.34075503224623,43.77910377757423,46.31157780212348,43.155501571374025,40.637916983340496,44.61612470492867,44.49403976755412,38.61298342532659,41.47710273068788,46.89791126467816,43.00182899762833,41.24708444571468,44.717354432010254,46.0555337589211,41.901779078945054,42.46365904450584,39.72432832106439,44.16927783948747,37.46690930810798,40.335100565004005,44.14837084193667,45.45332106251769,48.66532174693896,49.0408059735601,51.73963858021416,50.48768134162411,53.13309500737851,52.51767115535404,53.330729056962305,50.61303649610978,46.44077393690762,48.770881502899144,47.94860972287851,43.683769039158435,43.300513850205384,44.775150703576635,40.89390876606744,38.16670708522152,39.46874100515273,40.11162510022103,45.47342076977747,48.01296498541445,49.67910578338079,53.410786671276945,57.153257091927735,56.1283145064488,51.342804023315594,53.93207077294177,56.6213248583665,52.353731643801744,50.515085302869636,54.48185893628333,54.36224773142157,50.319152985064406,53.05955305979078,55.44188989847634,52.499221910878404,50.72198053709999,53.282324105885124,50.31991581833554,52.207853415917576,51.25317917847602,51.94356957266126,50.127545849592934,45.92305235093174,47.062667128342255,45.922567501366416,43.37458878710083,41.338055377987814,43.58134406121969,40.7362905475539,37.2870535244002,37.840624344885704,39.140328528103275,36.17360297277837,33.62017057422454,32.14879532511641,30.242002596879402,28.15421187442584,32.70958643675953,31.663870094341902,35.194414772791355,36.54234427801899,31.818914135863857,31.18919053930906,28.72284780073283,29.956144977569007,34.47524342977905,35.593051053005595,38.529655533743025,38.26099868190944,38.83153016037969,43.52493783702823,45.62269884916603,47.350061089011795,42.72672377914023,42.34778672033436,45.959367359572965,43.82687966163063,42.207249838426335,46.51084949096486,49.181351135568285,51.2572280029511,53.295658417789674,54.49441286526543],[32.17004163057342,30.241413812718253,31.14788845467663,27.376057002563456,29.62532882049881,33.133686019802546,34.634284753782026,39.26267017808107,39.125995927595184,39.043538582928164,42.255306123686864,45.555723236567204,43.09861259822652,41.00788368512737,45.97782213348359,46.98842242924425,43.352384358380604,46.432382288852374,45.65162324793104,48.06875419759179,49.50186951591137,52.02394807832805,51.442143812607576,48.67735308164883,47.17688064409356,44.619252706325724,43.990139058484154,42.437580602055945,45.75690336951509,47.47158975598526,51.48911317559309,51.950697135163296,56.075647232592715,58.47468200255847,55.341710501338596,52.06966210620668,51.72716590871297,49.29357399478916,47.138380506724936,51.40400959153459,46.35252902081086,48.904508145850365,52.50672144701538,49.848106808516405,47.988603669964625,45.52107778680011,47.40168348026711,50.541978561693114,48.213975194080376,50.39608686952009,54.02296116646283,53.609203681965816,56.965570178888065,53.529788294564966,59.76398233621187,60.78480685691104,57.58104973445257,59.8976066035813,63.8921676430958,62.259395879314674,58.98707773532468,61.46843253303118,60.95120916163734,60.891154971831504,57.68086697025731,55.44928371199272,52.57054251029266,51.618814681118884,48.301046977297986,48.258194643175415,46.1958410905892,48.177528859194354,51.315507146592005,53.096870530593776,54.11644048187136,60.14606806548894,58.14462024364861,62.11090519223461,60.36070816137144,59.9728087713379,58.77634410589577,56.754963341629846,55.86668741921276,54.52068509110055,50.59126420537048,51.52375002182478,53.10873310433545,55.91911755051062,54.93757481947976,59.843742492657384,57.412107750765,60.58712752937372,58.110616865560296,57.22312878683025,52.77593575646559,53.822209130543584,49.683809273179214,52.576158876591435,50.52189176211213,53.05570007598338,52.72645534796886,51.59419751212097,51.61911805750434,49.07947733399018,49.44156676791199,44.7993502862479,46.39890224165899,43.3772877328664,39.98152595310989,42.5531612373578,38.48703618829306,38.676729292650414,37.546968770130206,35.86828672820499,37.45304118792074,34.81548016585283,37.8955008151665,35.5837225138969,40.41137629844177,41.71770446663398,38.60516856138706,37.47037455470222,32.841793892265144,32.92426011822677,33.19905949989935,31.940553714333216,33.279868241996134,34.575978938208394,36.036736443044944,40.12292118545641,35.920579290890366,39.95332515014903,39.7403929324258,43.41900643782314,38.0497227876041,36.304429760744576,31.530529346817513,31.014579708781348,29.896767550510624,34.06267809518523,32.40992042659948,36.6533257728016,38.56783137637111,37.6242922751129,41.1698202909254,42.61164974671773,39.71646238433035,41.30134960946414,41.43635870392822,40.886604668956245,42.86652192210382,44.225383313368056,48.351344972565535,49.56312424895996,50.697355912470734,50.12217825092752,47.360638503435055,46.920822837720735,46.6366612733079,44.34949504652434,41.47414214414688,44.493933976115585,39.86332473861973,44.42999466692162,41.675101170544764,36.897900908921365,38.31854585715555,37.164252408473985,34.371480510978664,32.609812973923496,34.65641335314398,35.60535256061291,40.54926434851067,43.661747584352995,46.45977235185542,49.00806851111374,49.00692277252962,53.764356227545875,51.31595661000354,51.69659737924657,47.895480918885326,45.44845980724982,46.65044569162482,47.15272714426369,44.57783337612766,47.81056186967295,47.77953281900431,49.45151801113536,45.08335911421652,46.355848761201045,44.81386250773074,44.35009841330806,42.12828125795775,40.19813123049131,39.698916395070725,38.09907463316732,34.415365922637555,36.59627681316756,34.49418217578963,36.981633163691576,38.74232665957187,40.96898288902138,37.61026611600626,35.42611720437128,39.518643815516434,39.04438246368045,33.224737557928066,36.41882246402192,41.71083160803469,37.55333046975903,36.05695759085266,39.69668053843581,40.709898345353835,36.602265690555996,37.5898135316109,34.899229852241554,39.63830026889483,33.27534806748142,35.85853880942863,39.84912872128063,41.554352945678396,45.089061039252286,45.483726184227436,47.79617662254568,46.40031297145132,49.010586726188286,48.04213288420186,49.24617169411538,46.76936537495237,42.12151999115448,44.466722686411835,44.20581636663136,39.825484897102704,39.06901220261342,40.79561945697546,37.36205176480762,34.251101465876665,35.14049505464344,35.443870723744205,40.595543381573485,43.33122461925486,44.868256837324196,48.437732370945916,52.17363599106549,50.86801311649671,46.13048946858714,48.82856503793911,51.26725375865764,46.84714423988272,45.2105339297176,49.15096312256424,48.86702458214675,44.89672183554335,47.93060386594793,50.19818495411679,47.108213867617096,45.64305678647388,48.41412267323423,45.53500389408279,47.48382541513514,46.37680674948849,47.4197060780275,45.72855586500171,41.16709110418454,42.5023471447364,41.754287090891324,39.05310791629413,36.81523008047883,39.67820700076903,37.06191075770936,33.07701618789108,33.73827258590813,35.73991571019377,32.876059908633025,29.84565249534924,27.77983204718509,26.72032534317626,24.085884917875035,28.69064292555432,26.860187773883645,30.1652395811533,31.079305110258762,26.396720486017955,25.8241753375161,23.714669911524638,24.84163816837074,29.48171314441478,30.016344135752167,33.02380128682224,32.406727549845556,32.962407076183474,37.68039525079966,39.83424361769111,41.30201338636362,36.68268223618665,36.451951574005804,39.969788279184925,37.6525937111228,36.212194288684984,40.50935493790935,43.09142665586803,45.13295347093749,47.20739847347668,48.485302162825],[31.982265848459935,30.46964440105091,31.81283990304151,28.355778979837602,31.441258088071567,34.32733444587641,36.15525785426127,40.7419158354577,40.308119875474,40.501665492830995,43.537428093840816,46.86616482700665,44.874496330576676,42.52638950158055,47.564913042239255,48.837272877291866,45.44846416973785,48.625895133594696,48.03379254119272,50.71144826927156,52.22455526137059,55.01442502760846,54.40248575634958,51.76022008876944,50.28341151258347,47.470347633845165,46.89622430346438,45.082280428508774,48.19949805996677,49.75427687112733,53.43726870111342,53.99170572459916,57.961688627091526,60.54613947992293,57.62667447415558,54.480173355542824,54.215268817781556,52.098999582265655,50.160952439147614,54.71688255884957,49.684260758106554,52.000839406321774,55.76313929558639,53.29024637064872,51.51394640228409,49.20379311399144,51.1976849218419,54.214716050293724,51.9076168846166,54.317968923589675,57.87434883163774,57.341447998354944,60.60502547724063,57.01012274250805,63.245483217868404,64.27727044604292,60.92487043678433,63.09833240366844,67.15773717912133,65.63398269556758,62.131116607213364,64.36657022618243,63.63133385787675,63.6262303761872,60.577994845088554,58.24032662571035,55.06571080363275,53.929734702757486,50.39624159860025,50.073057625102265,47.94292353821235,49.705751782173074,52.99657468152517,55.07945803198847,56.15009095551836,62.27475549291429,60.582282284700845,64.47150066207944,62.94579785930742,62.81384684508729,61.62776181555041,59.86591454089551,58.79638900659603,57.72706059537958,53.83389028119214,54.47856631552725,56.027119957656474,58.60982015296658,57.53686661709399,62.19442222726814,59.583524874941155,62.5657150327544,59.91907151195638,58.9407572983064,54.43162664774044,55.182731476870906,50.995809426291856,54.153003490154674,52.06865708488054,54.4823436601389,54.63832596379483,53.56547744020344,53.95633815158029,51.446892258710555,52.22438321519342,47.46396643650589,49.10097990460866,46.267205120845766,42.63534443930875,44.99453712617938,40.71328070308585,41.11443597620437,39.61621766808617,38.24958379811272,39.61089974605757,37.17975840014744,40.32015771793352,38.24788763526847,42.90607850534596,43.93657908803315,40.657558552628586,39.38418812426654,34.91593479473305,34.91752206966026,35.026130525505366,34.33379453251166,35.386425023636434,37.140477059566294,38.77054293371593,43.10144169247193,39.08313035678681,43.19137491419806,43.25712079631022,46.73004118722893,41.473843694570576,39.48810365179739,34.83776920198669,34.20972746014966,32.93471757030292,37.17120552600443,35.706876733296895,40.03050015203346,41.632471131254086,40.64116626008188,44.26215164634121,45.37359238204926,42.412841882837036,43.74834179614613,43.83975294305031,42.87578771934195,44.783311212224646,45.70381925529216,49.80339638321271,50.51971270117489,51.86122625421122,51.66229493961673,49.0944749621765,48.899526262780796,48.801914520812545,46.816209814677094,44.31471528344496,47.33680588298567,43.00439416047594,47.662603387078384,45.232528446608946,40.60589177804773,42.15284325989058,41.23999099578144,38.39087303709739,36.445789017586385,38.34615936674163,39.05970125695792,43.9503828465546,46.898688494533076,49.50956049898628,51.866544174427304,51.632499420059,56.51608338395775,54.35311912624024,54.79008515868141,51.253657993472565,48.54240019403828,50.10433612358427,50.82052778694316,48.22590535240181,51.494567749534525,51.32735438917304,53.28029954323962,49.002343430051326,50.369722319789716,48.92653303770366,48.29881667401772,46.12899431172282,44.086111106037514,43.5227093422297,41.87306431475228,38.02916103724159,39.96372829029919,37.53855455287228,39.77511493631384,41.388569529544796,43.37936752715563,39.94284458827884,37.677559786817234,41.600433218054505,40.85763525929576,34.951940168393705,38.0364887033376,43.190792350244934,38.71357294861861,37.0439110111409,40.58054729016096,41.46889200315801,37.08215121465096,37.93936655081969,35.51134037825874,40.23072643556635,34.20288115090724,37.118104438259195,41.009499784559964,43.061354048151195,46.29375320439405,47.11992741492567,49.67654080017835,48.5901349364001,51.428011320157495,50.62674468574193,52.057525396559505,49.39486658232789,44.74809343273892,47.39667600585306,47.24444041922006,42.7124413315686,42.11514305515651,44.15250529413793,40.60325338447427,37.31986095844003,38.59477675848669,38.401625539520175,43.71465226614708,46.3958235354911,47.561877916214144,51.18407494599956,54.687707851811034,53.45121135717914,48.70330139108893,51.05011172541524,53.42675333268236,48.997121112586726,47.16461618503827,50.855106008975135,50.41008724780147,46.36198608380661,49.36068910914753,51.40631437373809,48.08855277251307,46.65091263885803,49.485828463462326,46.789914126114894,49.0634923023464,48.284341541276504,49.45872945592465,47.378347071098695,42.884266573609956,44.66000761448593,43.71482564577685,40.81337868912936,39.022952546707764,42.00785466090532,39.001264007922934,35.06751005873196,36.28956175069246,38.1618357347494,34.90517937040111,31.881746405443497,29.537594018208992,28.289999444440344,25.274136214833426,29.541966876593083,27.735454547255692,31.424085320023615,32.109982302229795,27.310778738066418,27.302182330063594,25.420925047863435,27.075100020951012,31.784280249331793,32.288143936926076,35.66229616916091,34.870050140972644,34.6602038652233,39.513548555047755,41.32672800865092,42.886790553551116,38.28357786642368,37.56233592000404,40.9031119570631,38.887750804002,36.750361271065835,40.944499369742005,43.60039678695625,45.822864222001506,47.79886115081967,49.02266741637337],[33.94980045251236,32.51790735333733,33.599001632827566,31.03211423756359,33.86947150705156,37.247542756536326,39.37251629531381,43.90187583006254,43.919005799232956,44.40349655574256,47.58195486573097,50.69135176881088,48.73916381873312,46.73007506849612,51.79386225512834,52.88523211854897,49.521337580825254,52.831384412644994,52.35270699075719,54.76960383889362,56.37149160136194,58.94158407718963,58.45646607458386,55.737785542753976,54.1517506261893,51.53333530826053,50.75105689709924,49.007634241023496,52.13527503557517,53.556544659241325,57.616236510746404,57.81413436475072,61.89297523880175,64.56323007784997,61.48910363480351,58.406974721485525,57.83653155615187,55.75632295524926,53.66158731643231,57.88619051700466,53.04147097199121,55.69744610812361,59.32777984610386,56.713123303059,54.94382967286267,52.40202075006281,54.294986141222395,57.42805312930751,54.94349889307384,57.053327445921624,60.65738140966434,60.215424291060685,63.623827428865255,60.125856137663575,66.31031107083358,67.4976558983607,64.30921993935759,66.52140760445913,70.59960109266352,69.09794233225362,65.84574091298734,68.29698980787539,67.6856439190743,67.78782140701358,64.59467352272183,62.23926930910792,59.37691563936828,58.23477467000023,54.92006110262482,54.61862166380876,52.61428517211975,54.54433614640678,57.690920233097316,59.70922750640033,60.59199937953238,66.7009837500901,64.76662391599342,68.6155273000518,66.88710658799972,66.56508621685091,65.15565461236353,63.1356993499633,61.94293918711727,60.61433296722233,56.83070106067481,57.75786439368551,59.589343085311874,62.17584336080537,61.432922650094234,66.1643308242046,63.76978829718591,66.93937128685828,64.28515764775022,63.191669207176346,58.64411497669858,59.5207448967376,55.291770646396486,58.13347428222385,55.86251791040916,57.97375933395391,58.141284112088016,56.62100392730535,57.113131555587856,54.18861067886353,54.63894859568407,49.81093350428606,51.00460940839567,47.94085326416385,44.36074192781632,47.05135789673346,42.97278319600242,43.80838352148745,42.71976613437739,41.535330335094834,43.36983470867031,41.02566774625583,44.329767845280294,42.28974452717682,47.204043706989914,48.23129866249076,45.06598237425266,43.68201858633467,39.13956269338978,38.90132650987394,38.72784003723416,37.58167190913667,38.09805868937394,39.73116224057812,40.95842356362684,45.19625822359018,40.746485485101395,44.5340515634658,44.79060765139745,48.55114315199973,43.48672623390731,41.946911017067954,36.97907337933845,37.049229872718676,36.23655335573283,40.40537943690329,39.19202464904726,43.555239072782406,45.3758869348573,44.229138484461004,47.74679330831914,48.98330307137563,45.9780219218071,47.23083161928676,47.03693895228384,46.178141186767796,47.70493317458628,48.87741471050649,52.719772973457786,53.56565476073635,55.18945885886715,54.906362623977664,52.480155523191094,51.952312580083344,52.137149118030955,49.69269893945395,47.2667344699177,50.60962070911937,46.181672235883305,50.75380970943833,47.97551892811051,43.334930514304034,44.38852857582723,43.267218472595104,40.20335654677169,38.73415898912702,40.55956554438212,41.733260950640144,46.56053874256752,49.58600343358523,52.37408047776484,54.67916445432911,54.82820621241213,59.46313270488061,57.25991949332939,57.42403288658294,53.78947897326854,50.93813183926578,52.12634644952019,52.68957871514637,50.34708819611054,53.945590903794134,54.174721828128376,55.82228759742623,51.6133446448043,52.567318240311366,50.81860744920432,50.2579357862086,47.70408883678908,45.56285159506447,44.73908059361676,42.714486941421704,39.116014042854594,40.80687814425294,38.280069331942094,40.935968010862325,41.952105081412,44.32724933312218,41.21441505747642,38.362545945420734,42.075997972881325,41.8538156416337,35.849120423940356,38.41527340716686,43.75545612509842,39.75016611081739,37.69488580222959,40.983111138273955,42.423883686824695,38.085301052798556,38.3014378053971,35.72043363127928,40.021583379410885,33.51511439099653,36.73045142837669,40.40388211612965,41.98731869968876,44.87547611387258,45.69889348960747,48.68784323199632,47.812129029582564,50.75274066275001,50.42330983547332,51.502374809512084,48.49687454344776,44.37184332727673,47.15035196695034,46.4465553848925,41.95074655910873,41.848331750274156,43.82123117157134,39.727728386917406,36.71735954294229,38.74429629676118,38.60969436639936,44.339890555859355,46.70936752880822,47.836791967551186,51.72299880470427,55.127243812041485,54.35735360430702,49.5179884754628,51.56942758596435,54.32520124523563,50.15362476388099,47.936496854391024,51.64409801428606,51.47229195482834,47.303385890755465,49.83336877211247,52.07314264657785,49.04388747185256,47.10135919393717,49.61633754026342,46.78566335859248,48.96623587075231,48.416120109253875,49.154900652803995,46.876976293807076,42.839990094489956,44.42642884456752,42.98109453951925,40.23425464729947,38.757429439540566,41.0696580470298,37.74230795324348,34.39814421749729,35.64164519518011,36.7583846160779,33.305871765224715,30.75927639895885,29.04679927160494,26.866471192237007,24.469619821491445,28.68879481436358,27.89630083728938,31.810075677429378,33.2347710392196,28.438760687668946,28.212889341565237,25.79044722622968,27.635266762221736,32.16934043153953,33.59664778388917,36.988153663348605,36.85164336944068,36.468728708260805,41.27562508383286,42.95716065454257,45.134624804576205,40.524903179888824,39.50687538462939,43.13987845631639,41.60536098251552,39.25100934607404,43.50376566968885,46.41818899053413,48.65563766119112,50.632013668665415,51.692367968935294],[31.424615229388685,29.64640983493417,30.351938999077348,27.706619628069966,29.962721456478285,33.82395918052782,35.83581719441728,40.35840830221042,40.71405491926212,41.17174276635995,44.510576155200084,47.486616295372684,45.31949010819731,43.63465486882054,48.667951316356486,49.52946741482693,46.10740007740577,49.48743486982187,49.114707246899464,51.26085522962335,52.98278007180519,55.381760194168784,55.07963084143445,52.38310274721696,50.60355472799282,48.104909291722144,47.09409056302985,45.394035309373024,48.53518776891188,49.89885633579975,54.30054297595644,54.23814682837114,58.43177906624284,61.080308143158135,57.84861499303689,54.78856036021395,54.00713234657285,51.907705995946635,49.70805015883436,53.73290529387559,49.044768155450946,51.922495982046335,55.47571515337184,52.83865973480768,51.17586341182315,48.52707163260008,50.47170252784826,53.55406144575586,50.87969160289417,52.9489823558393,56.48817199152845,56.02042054586234,59.465235168560596,55.98095715202912,62.10682781108446,63.43680089766423,60.357435281394494,62.53033457698154,66.62997465192461,65.2176941557073,62.10128167248038,64.68005591203192,64.14820978896283,64.4015968991712,61.09600388970323,58.676254505238454,56.12680745980494,54.95789551851157,51.91321168402392,51.66962181188542,49.82955357060635,52.02040376846566,54.93212975326112,56.83187092520606,57.476850092497905,63.54984903287928,61.348366399293745,65.15637696152018,63.240582107506846,62.765639910995155,61.197945147685154,59.01579298525592,57.770024258075416,56.2935007694605,52.572003973311034,53.65791505153917,55.66247674568288,58.26387308329032,57.75974145204209,62.571639405292714,60.3853952821356,63.7548482190661,61.14561765450768,59.99967032526404,55.46045541327354,56.55675822426858,52.33442394966308,54.847034127338866,52.5012048212224,54.549613419338876,54.46513569811554,52.755235883986,53.119314897067476,50.0504829935016,50.26055222208836,45.45283448429551,46.54455906584584,43.37715109500479,39.892430471076544,42.72715010346923,38.792813627442555,39.643815170284036,38.85125781525091,37.61805129935432,39.758266340430836,37.42392850168057,40.820706509698255,38.819729840309,43.97974486775351,44.984144567036026,41.967005731836295,40.51736148000542,35.90048151439049,35.50963576749866,35.241187642760984,33.66268854867055,34.100485144991,35.497989178397255,36.55366471109723,40.68588748043009,36.10580910551233,39.82873305432732,40.06405554365332,43.90189187433619,38.872036047163306,37.49754310792436,32.42404727469378,32.769005015012986,32.222548469727464,36.33085775820588,35.35617390893005,39.79013822370662,41.674616982546915,40.376489676220515,43.80815715703932,45.12253093454932,42.1089473599518,43.36410242216326,43.05459319658921,42.41084015724017,43.83995058675643,45.330301148968786,49.11317576758469,50.31089974590137,51.87555080113005,51.33631646187575,48.85709984843393,48.08912310121442,48.29139888822822,45.56393206898991,43.05409265946599,46.53520333440589,42.045244417341785,46.55820269746233,43.63474503612796,39.047284733341236,39.88446965641943,38.794553328058434,35.611597557508844,34.26292116007199,36.01681367982163,37.356955806050365,42.1409193358805,45.1996907300027,48.07645974275746,50.39575818647255,50.756729864819235,55.249995718646645,52.972223554070375,53.02356549456959,49.330591576953964,46.47038444663976,47.50368416428864,48.02566524747304,45.75588596849823,49.48301909789736,49.88276211278763,51.46239010629999,47.38511575292169,48.137635550531925,46.30789476212627,45.68977393617558,43.03209758992266,40.83831287347727,39.96267557463439,37.902296689751445,34.322681919529636,36.030446649068075,33.58284436923841,36.3517412638798,37.40975781090279,39.901799170633865,36.84430688115598,34.00774840697133,37.821969685139756,37.75800672388056,31.799200368499726,34.44242743255752,39.87559562425211,36.08632959098406,34.15535786710707,37.53506849964977,39.05951377974811,34.94116670774972,35.282184768516395,32.491135717188726,36.85726981843163,30.131745255140036,33.06464639489694,36.852785162932896,38.28363460114664,41.47665140977259,42.0041175724308,44.746857943464235,43.647147519964975,46.457733835156105,45.97585496010896,47.011229862627076,44.143865887451675,39.914257373542284,42.55792802948127,41.91023994207927,37.44618331729948,37.20789264579095,39.11114566518099,35.13890871715885,32.108743373382126,33.95831482358959,33.9492783948468,39.62233047151857,42.01948143603421,43.292474001608774,47.149019286790605,50.66584732806661,49.85483967930862,45.01581449383177,47.24921493460501,50.03575294452431,45.87436832721969,43.758599383687184,47.62208729179903,47.55480543451782,43.43325843925097,45.99919753169627,48.387570461643776,45.51690087489518,43.56622104849531,46.05979148069544,43.103422506438065,45.073924763268096,44.29341915134853,45.00170060099515,42.98626915919216,38.84012589160612,40.18650066416064,38.92483440747283,36.266746135955714,34.47868158951384,36.84130969837523,33.79055137086749,30.28277311881109,31.23227905369985,32.58297285320239,29.37257305095926,26.68384399636629,25.022958776117484,23.125476535769632,20.862085474675403,25.373643535258623,24.440360478508772,28.068198375633692,29.66353595226019,24.951324872984838,24.316350627756936,21.731849613881124,23.272351791851477,27.777536347197575,29.262406423269997,32.48317131569286,32.51880483215413,32.51161044218715,37.226401730901294,39.1041111350199,41.30223241386071,36.68553087767145,35.94380683841932,39.74329192991909,38.09385975526088,36.19569324218863,40.53198772022911,43.436108621475796,45.54713080533941,47.609410428515545,48.69089565758764],[28.029921466979662,26.358076821635244,27.365545613726063,24.518097589582723,27.345803271699353,30.707088337202272,32.841608591793175,37.36498095008891,37.4782569713486,38.0766657223907,41.31650691361815,44.31588654146735,42.43807538240627,40.59889874788799,45.686891428925094,46.713724392188546,43.4834711118769,46.98328217620404,46.854534540273235,49.174276174409556,51.05370424046535,53.705117249235606,53.46896799301493,50.951170704521516,49.07427591287645,46.299274957721295,45.244435452921444,43.257191649070684,46.19913311554559,47.40718865690592,51.58291537488128,51.55948228147638,55.64508622515307,58.44294429939971,55.37114691816743,52.42738347860306,51.69232812741728,49.897390329010506,47.91438843657182,52.2666724612785,47.6211087733055,50.274577065579436,54.013625722292154,51.62067144806235,50.13246567011734,47.67184933505804,49.8432159349544,52.69741230297752,49.96743476338085,52.41818780164269,55.80868975620979,55.13623594282011,58.4436463066,54.739873919039546,60.86079413179557,62.243585929099936,59.00298338432556,60.978351051748255,65.16571635674285,63.935654083317424,60.55527642361485,62.87865492242723,62.118311517967534,62.51482546591152,59.347555852964916,56.75671441818388,54.00799458631019,52.613333937712355,49.466532647321756,48.96054785446498,47.13506372785048,49.26137104641918,52.19325358670228,54.34471199857655,54.91897686858566,61.08385391106377,59.089901783162034,62.80568102825012,61.062007401972096,60.82343924624652,59.23538185480608,57.32118361941912,55.88992245527387,54.72160406861628,51.02363573543913,51.78934883651516,53.7677413627976,56.138550729641885,55.58059728473274,60.168904102317576,57.86290483913585,61.12001290358019,58.36379268448943,57.122246337490225,52.52953555314608,53.44772301082885,49.186725063965625,51.845511991362784,49.48123438172204,51.49258296190338,51.712684230948454,50.118648698449036,50.72508517155539,47.76759848674472,48.40048794287343,43.510038631701384,44.797724309219696,41.87792588966269,38.176084950588674,40.71474105350978,36.54074771390833,37.40657723362354,36.24343959547392,35.20873907992126,37.1480366893061,34.987462765346045,38.473684544283806,36.739387744113515,41.843974269376034,42.53367849323319,39.404876043114626,37.788837919009104,33.28399376443397,32.77853999642919,32.380607722354505,31.25873315298001,31.60355953934599,33.37846493841138,34.706403822137375,39.086971819974096,34.84323051340057,38.788893210369615,39.20713892664654,42.71825058514113,37.724938120421825,35.964182308552566,31.103460013414633,31.15123480172743,30.400463030291142,34.60137600625847,33.897464270841475,38.486086432781676,39.98822868154205,38.577749643749456,42.08702956002059,43.05234091387389,39.96716646581048,41.00156260176517,40.68682737442894,39.71886418548298,41.182455864405995,42.34537029824655,46.18474720090889,47.08734378566142,48.69701396895295,48.38484979246079,45.9947918177761,45.44982399580813,45.73099496504771,43.313842729074175,41.096812076927705,44.5454379588912,40.35927228609668,44.984638950277066,42.47020788275933,38.08155528231488,39.15585331892476,38.4735655185261,35.251660094046464,33.51614372849454,35.0990932988713,36.06221654835139,40.80555654148207,43.679083535178634,46.33961799970079,48.4939567329819,48.58522751390492,53.23352791968524,51.22216982406531,51.38164341748939,47.97521368832491,44.88399020864763,46.39280977233648,47.20317091073404,44.8284531190191,48.52896457568577,48.71191992001575,50.710130420263404,46.79323891574594,47.709681064780916,46.09040993703404,45.205457653559385,42.735919492844346,40.43009426557465,39.59348967038574,37.676234733381094,33.79124491538956,35.38156781994619,32.69896500506423,35.01831811519354,36.30074817847714,38.392433673175596,35.10208057622746,32.53169100466637,36.355770090952994,35.81541376344645,29.84548405029128,32.73263560556485,37.9790497236158,33.73804522954599,31.924730195925317,35.406488812487595,36.56045702537516,32.27385517982259,32.919455549703244,30.33337245918875,34.96753567625392,28.740902206130766,31.644831879461375,35.52826825957044,37.50596174969152,40.77447992868524,41.56933479094053,44.13499850813171,43.09268693851842,45.988762739511785,45.30359378323648,46.76434517350119,44.00739329070257,39.406449435324944,42.20058549140667,42.05581416234428,37.45041217196175,36.98319612557593,39.214466594224184,35.57456555927875,32.18340863937659,33.84041481335679,33.32736506063951,38.86733002497533,41.40621967544022,42.39514816172348,46.129874799438,49.52639383843287,48.501388996349206,43.704314262194806,45.85562406341703,48.38659981464748,44.07782644364286,42.03905862524135,45.74124928258938,45.43142894724201,41.32194675995082,44.13570937131044,46.2937062184943,43.14147535608294,41.48315676429632,44.206065904411474,41.42983245656624,43.649046281636856,42.92648917563883,44.00607121343017,41.87529111019824,37.46509324858347,39.22995239156747,38.187787101730834,35.28940710861987,33.58972385731809,36.531528630687916,33.46009273005756,29.54533654750882,30.89903843762401,32.746949193897095,29.42356674419023,26.361193523476796,24.01245636914192,22.756099572949616,19.747061003502818,24.07480148360896,22.432779255208178,26.13394041006988,27.178590486700458,22.38604471060874,22.1875304181471,20.082352011328627,21.868248844026947,26.530220144338504,27.446129401365802,30.937034053710832,30.530882295319113,30.077389163648242,34.912530609447465,36.64963226798309,38.64772336314819,34.02949857020276,33.13164397408651,36.73770162259818,35.07236235264347,32.90040194277535,37.187460127411825,40.051713618406296,42.244577445614325,44.27725538248443,45.39871134343579],[28.282403270918476,27.097778394854462,28.42118489882316,26.295699089836074,29.77318935178945,32.66908032040964,35.19645044920477,39.60573242705419,39.61831796884542,40.58244392659646,43.691636713929825,46.6031841750914,45.18440051755978,43.26249933951926,48.388122321939164,49.573159004206545,46.59953722877128,50.2236243749174,50.31807133636493,52.75925923188728,54.74788492024549,57.55203110309757,57.345635062127094,54.91854733899605,53.01733824209085,50.091536764605735,49.00524220847415,46.816105082651475,49.56218594679089,50.56364211897441,54.56370655486492,54.478613614072515,58.444789149746725,61.44150842564013,58.516334852218016,55.72893906920676,54.94703194791213,53.46955999200566,51.63514149630236,56.117909362338324,51.5754337440781,54.132426613928054,57.95990687139205,55.694174728893024,54.29254636632693,51.895310460154185,54.14069871943227,56.91409908137384,54.13782183679622,56.69351070239202,60.02177907835321,59.269279892234984,62.53397742202376,58.72325775718991,64.81146326767372,66.26682823565686,62.95231263315375,64.79981312989266,69.05089266170124,67.94257468205521,64.44573740342835,66.61794588598443,65.70092111683336,66.20440665050837,63.1341250784482,60.435461853653834,57.55255993827832,55.983416209012084,52.74682691264578,51.99371940563008,50.174676593936134,52.174919446318825,55.16185097589763,57.555148896561214,58.0835436126058,64.31290454691985,62.505005744526876,66.11974640696471,64.50520203230033,64.43025163767824,62.765516298568215,61.002642442001466,59.3563158610254,58.35937968947825,54.74988827609222,55.346934911437245,57.39278818541263,59.54122232665567,59.0343829805909,63.40414775375532,61.0304063617329,64.17942495074414,61.269162049804486,59.89656840033412,55.249202735484424,55.94619333142182,51.64350116038414,54.397365957830296,51.941343993573994,53.70758992188772,54.382769940327734,52.67973035129657,53.664830816152126,50.59836126373569,51.4986890914128,46.50801331366806,47.67119028988658,44.87238142348666,40.996653147135184,43.423782605251816,39.16124588364824,40.36847056951945,39.02419822510776,38.35201366649474,40.244476747377234,38.32042925340771,41.894027737863645,40.39458316547734,45.42389259985116,45.85628011958775,42.64370773618887,40.86848622637605,36.51534299285295,35.85506828353398,35.20675915985854,34.444800833091364,34.33594975591949,36.465687052609674,37.79612287272299,42.327536007849304,38.15511738076528,42.02800319214665,42.76182393044517,46.148107185343015,41.35982957129862,39.541935322583875,34.743230451670236,34.906758515597026,34.172562585492415,38.38067855592068,37.92510228627667,42.57155756478915,43.87101467079966,42.370032251341975,45.89159497651192,46.59846822752618,43.45607566151839,44.226622823042476,43.76905425512848,42.465673967809,43.704871939806786,44.54144841870809,48.22598587017027,48.70321897899123,50.61577460199264,50.624196299577164,48.486920228753355,48.04665339793758,48.60762420884289,46.316461927197516,44.49111582150803,48.032939206047864,44.108840899031314,48.76142649996874,46.433118455871345,42.19633305836078,43.22139553515054,42.691311564723065,39.371289414117086,37.63202326177864,39.054999662726004,39.94993508022938,44.59332147277312,47.326347263454124,49.860841250474216,51.80625729659065,51.819950240858475,56.47052831573638,54.72148090798442,54.83498158206029,51.659872696228305,48.29072532193304,49.99914211028537,50.95526247653296,48.65692290509515,52.48484770434174,52.67839132306325,54.823892426335924,51.03133105859605,51.89221775593449,50.273034147670096,49.25838977045906,46.726014115885874,44.29919338796365,43.33083205634864,41.27069059774071,37.34653234251742,38.61759573259537,35.634071694873974,37.82088056357932,38.75212295413036,40.717994329992706,37.49811864488766,34.68556339323141,38.22386941351236,37.60230213919953,31.592971385135748,34.148912266290324,39.26218929185935,34.91631118478046,32.810778708514306,36.059972867604365,37.27821414791079,32.77624578900828,33.04134766179287,30.695770921820692,35.113688945879545,29.139988718072157,32.45099714991358,36.11700641493893,38.283122197891416,41.10937930570952,42.33906029810457,45.25917059286038,44.60218825690673,47.7366937446583,47.36730924574258,48.93290312949945,45.9103830255064,41.50884415837132,44.616106817936824,44.41380138381515,39.714920447309474,39.556789476731126,42.05342702204176,38.179030849187725,34.73803156347865,36.96590863274469,36.003472302272186,41.76574683414747,44.13207417270353,44.739217750998776,48.580748322397724,51.69464786764525,50.89852193067657,46.09547756188912,47.79011094506469,50.371259559739016,46.170392591210515,43.82616334692507,47.25974054137777,46.889875383056136,42.69318418708023,45.28626663269286,47.27832116427422,44.0252118641771,42.22553167392104,44.883019585179696,42.263344607411696,44.75951785288422,44.444287749072714,45.505518347602646,42.93939007118142,38.78468456597131,40.91133128656762,39.524578306342946,36.502217868661646,35.375432938827764,38.19723791695318,34.66867576425254,31.04263877401361,32.94925114151578,34.41717056859048,30.685741151278357,27.8272940774484,25.438110049564163,23.717545064830585,20.576616341439042,24.408873305152934,23.187008448397172,27.29467613096728,28.355097888966643,23.546362830081584,23.853388489197812,21.857165636029602,24.186162135104976,28.739581573192996,29.915667902202944,33.701828390936384,33.35875626771177,32.11706031903187,36.9989628199647,38.335575170275725,40.6305882426138,36.07807059708197,34.605053260949035,38.107292727856866,36.93752718739944,34.03355776373945,38.19859519962408,41.207024287046046,43.56088194270246,45.47396420392802,46.48019063505106],[29.563222501543233,28.07523185668561,28.726535251600044,27.251494988684225,29.768878287928914,33.60233221924114,36.144960389127576,40.485432130048096,41.17286199623954,42.21196482331702,45.570588632733475,48.222719683158154,46.51648049632616,45.134546423992255,50.20730206803538,51.01838270518661,47.92823536678641,51.615810149388444,51.73911757452217,53.729483496065164,55.78262274501796,58.19858961574774,58.17792393823335,55.64331353909648,53.5838893378113,51.001501192260385,49.64136595309339,47.66889974474911,50.51626847619431,51.4626930719001,56.05702277923466,55.53300680031233,59.70083955313361,62.65195775587439,59.43764316986208,56.65707551924109,55.502811047857826,53.896168232644264,51.79080857911433,55.74851718707435,51.444836228646174,54.47250994340021,58.06475570042051,55.59236305462785,54.20830710702543,51.51759547238862,53.63053969716514,56.51839857166481,53.52247749616445,55.68640704301936,59.045115117293506,58.41955420428945,61.852231867501956,58.21832892087827,64.21186898910713,65.84886292322389,62.801667479929876,64.72501500396565,68.9553366148323,67.8516948178423,64.74220542420771,67.25857437573215,66.58884754529812,67.2020240516125,63.899659342852665,61.22880545956559,58.872680483094335,57.39420271057675,54.54809989988477,53.98517919963673,52.358524682495755,54.6818016747363,57.392532754283756,59.52789573287739,59.80017293875634,65.93608805393691,63.67968774265463,67.27647887491821,65.31376626790609,64.8925311961475,62.978517685750035,60.80853989186531,59.13149329247254,57.71655222307547,54.2271733573,55.26975526300396,57.63473994139728,59.89790006285931,59.80701690526795,64.38143658280575,62.3645422399898,65.8313069956621,63.02970158092511,61.59836180407509,56.971552151684286,58.00448654569719,53.71229252344387,55.93693428396737,53.32430409720186,54.86642778824866,55.1962676110265,53.00659758864788,53.83713807682216,50.34412316693303,50.64265399476816,45.67930756167997,46.361613514872886,43.226683133163775,39.57386561205612,42.46565834865863,38.58630831096794,40.08821141064895,39.42452380284937,38.74260645534403,41.2508500539126,39.31414238073319,42.99700960390544,41.42729724241012,46.79602288219988,47.363159401952835,44.39335160208162,42.59432703158903,38.10442437470556,37.24746068351854,36.42615539211225,34.83458617800223,34.356384522623486,36.0349049211651,36.825695432626496,41.07833907813387,36.38846814764952,39.86425756235993,40.65006807218885,44.40848498847832,39.799375127727835,38.586283964767944,33.44093293477271,34.41386959543422,34.274301617783145,38.31621232126229,38.08641051024536,42.71421638533205,44.354574509418065,42.70207820750334,46.041099205170454,47.03865945451166,43.909146044215504,44.728275930473316,44.00311634485896,43.095199882376434,43.99057511337968,45.4008542050026,48.83000023446857,49.82369672077594,51.83166128988166,51.46758841447505,49.34150393079777,48.39164273314531,49.10671993070051,46.16166041727767,44.19683854479562,48.052470265625075,43.90547118573803,48.38527009560591,45.5594374366048,41.301583098878424,41.72971889923228,40.93403186345758,37.419278100918945,36.25874732402303,37.62440673189528,39.0973831233625,43.64964149942698,46.52062270621199,49.32232335588421,51.3086999100795,51.860086117695815,56.150898864384,54.205864264574664,54.002602816539756,50.606511561240254,47.24761879846309,48.37549335112041,49.07428005583901,47.060640121263816,51.2050341009928,51.881075867204466,53.594222681991525,49.90153181294732,50.2641116378067,48.3046586332458,47.39552109216885,44.458421120507765,41.976445528407524,40.76892705769049,38.36218643418256,34.77583137348197,35.90157807038191,33.00273845095069,35.75270099721911,36.1697618448599,38.672885766416286,35.8508663525659,32.512444688482326,35.95368719303062,36.060837851515366,30.052076605033655,32.156328885844836,37.554514208242594,33.964503314072076,31.636124742275964,34.71674179200474,36.584527990267766,32.41423867649747,32.1689537336604,29.434451953295067,33.4447001491869,26.677665316116457,29.996061168709307,33.54465211993622,34.976340366175336,37.76197100911972,38.633699611038864,41.76453304466635,41.0589385052301,44.13007935361975,44.07876739593456,45.176720059052336,41.95954166857518,38.02617529120604,41.06711439475758,40.30070580512359,35.71092800700377,35.92242799553196,38.19407856953319,33.88361894247031,30.776611790868824,33.532898427581635,32.884846373540285,38.94690259425745,41.032730121847415,41.832253842455955,45.88617250156642,49.06135603754721,48.662769784386306,43.78846857395396,45.44188436320679,48.42835324668479,44.50011878487688,41.93127475244622,45.5695264459644,45.593997338731626,41.356486488479476,43.51963279972295,45.87958328983989,43.109021647909486,40.80476239840778,43.09626737569988,40.19115721820951,42.32613710270267,41.966206354145584,42.51383165725308,40.0647815020148,36.28630901920639,37.891161500322305,36.17676789357299,33.44861112222836,32.280908886829145,34.38120937929453,30.822679749195014,27.70075284851754,29.24155795531637,30.095178398341684,26.424304483176197,23.98057339302564,22.435557662643344,19.89013203092073,17.706933785230362,21.837677157284002,21.66054128759337,25.634744631343114,27.65684288301637,23.01147677130837,22.594203704847697,19.84342060974998,21.961428378394505,26.2455165817322,28.408685964801823,31.932220826877245,32.389227087781464,31.535531592966446,36.22290427055446,37.6870428918919,40.50767693375998,35.970814533652145,34.60907183355305,38.52372370343411,37.588710986738555,35.08894829748899,39.353950437890596,42.52168743470127,44.723491094335074,46.723574951774864,47.62267845272792],[27.124610654066274,25.25579833407461,25.61476745945936,23.77218672103584,25.799272899591706,29.97173026212402,32.324900991111335,36.68149228411054,37.54669449776154,38.47531075178476,41.931636942621545,44.52780301751178,42.616198829674694,41.428102531472675,46.45612424361135,47.11555207714179,43.97185832498529,47.676014481425675,47.85933894442139,49.68489981764871,51.811068743351015,54.13902621321349,54.23656947580105,51.752947464523004,49.563646165607445,47.03386165855327,45.53736814550561,43.58384752632024,46.43186613791606,47.36466748292844,52.14279994915715,51.50087898109495,55.73509142279313,58.63573033183533,55.33304132101643,52.55230869690687,51.30712237120307,49.672988685152816,47.52657609834308,51.408575225720476,47.1900162910079,50.304025126669686,53.865654565162146,51.42064758183772,50.1313530824378,47.424750287679245,49.60946073426667,52.410634697311174,49.308164082503296,51.53378654503156,54.8177406183739,54.13534417576294,57.55200497021509,53.90294839740394,59.864757504230255,61.5637274066358,58.560527408876624,60.4484607642276,64.68451978164457,63.646421010763675,60.58090599297059,63.137637733403366,62.50038070925669,63.2047768748235,59.856333365399706,57.14162950687445,54.96493884466266,53.46956955046654,50.79993217346545,50.28333208249407,48.76674786603148,51.25426311028928,53.79967122010983,55.84390801631511,55.97060448233026,62.06929644488244,59.66020454345287,63.23150313721699,61.17172162889662,60.6767897245127,58.69805499002392,56.466603272728044,54.78304881450111,53.31986307350358,49.84615572647935,50.94177580683663,53.37093236198859,55.64648675404447,55.66039057552476,60.28135653023382,58.37831068714423,61.95567562551237,59.20160425066048,57.76493273982253,53.16414417697801,54.35037353279555,50.085296746150036,52.11528965834194,49.49644864905146,51.08201930655354,51.178387644981854,48.96095696620006,49.64194848539559,46.14528433995373,46.32786692049961,41.3960650677396,42.12963280055777,38.96479311646954,35.363718340602674,38.294113384452,34.46251591651596,35.852237057727194,35.336126683961226,34.56190722270939,37.217587499291334,35.27465377992351,38.99037859063881,37.46294163886568,42.95539699070227,43.49507367964505,40.635782496119575,38.81326010836937,34.29923978682367,33.36141632562382,32.52212534251335,30.66026121082795,30.244973233416225,31.752813781127934,32.510759412097656,36.71958891710819,32.02547663880145,35.56942087757434,36.286047322065386,40.03047214263568,35.38014730656557,34.17343942506254,29.010876263220776,30.053392594149617,30.04146956456129,34.034862070568416,33.97631305538587,38.64573719644178,40.26365035792678,38.51804251624859,41.80318788240717,42.82597479480601,39.70291222964201,40.54238422302444,39.79300998827572,39.04576856690299,39.96903588451817,41.59652681677218,45.059448780537956,46.345429248320954,48.202170798768684,47.627710502816264,45.40448031442958,44.339769187118925,44.983037572435315,41.91777814423049,39.8560542603924,43.746670474012326,39.57862430248494,44.03123980208331,41.18964488728481,36.99775788766516,37.3737732216607,36.687941561506506,33.12361036490201,31.923893486798818,33.22689686838095,34.70887881847476,39.23900361693676,42.113312313558104,44.940840079202744,46.95726149805786,47.57997805760521,51.82711052849156,49.82648285741818,49.60907381812206,46.18864657526699,42.8544628377407,43.970579328880305,44.68761979610175,42.655631525381615,46.81717685673878,47.520754330809076,49.27585864711393,45.678955484779976,45.995519850124964,44.06596866542214,43.07337715867142,40.16775606147627,37.658556664241466,36.47690205749441,34.14992338216837,30.47550313292412,31.693828046258112,28.86742428665938,31.59474377103467,32.27193638469129,34.76613951231837,31.856674899168723,28.713134168042274,32.36674361933941,32.435209042693614,26.450881783635232,28.851387505794566,34.31502471780816,30.736656459833007,28.661019373816305,31.95226871798335,33.70244662886856,29.706551360595565,29.83545147126092,26.93089511124113,31.19789455223431,24.37312437166023,27.293327808833883,31.071395779636973,32.54823211082322,35.778210735841775,36.367880073942885,39.09810779693498,38.083748896081204,41.00042216103439,40.618945545173574,41.817471967654605,38.85077357224928,34.58794329343498,37.46928639151007,36.97154860136435,32.371246706698415,32.25326212071708,34.5051307573066,30.501758741563915,27.23068431027789,29.55461521168421,28.980968725494343,34.88877379931163,37.12882948511089,38.08561500584698,42.037506189479075,45.36984412063354,44.76002904499745,39.892922552411164,41.839450491465584,44.730439388047344,40.69591200605544,38.3521288333063,42.15509168589549,42.17865192928941,38.0086151271481,40.39386720227807,42.835440128178135,40.09712426986938,37.96539646107673,40.369137252318424,37.38068594345778,39.35718333514091,38.68240350944886,39.37036398896994,37.24399338701878,33.15564052543726,34.608927656921665,33.26418696951951,30.54393811400996,28.926340397814865,31.37227085362652,28.201572493684672,24.633447773344823,25.88660517031239,27.308277648691345,23.945159994640623,21.115620731400444,19.316728190950204,17.487837460141748,15.118552717063368,19.648830745067283,18.87116858495487,22.49384009506316,24.4368401353826,19.832546748146058,19.047111439489637,16.269070064618585,18.040385412261653,22.44289007547415,24.3582484484854,27.754154586753824,28.16734687411756,27.720757642854398,32.371660111544315,34.08215002643043,36.72583150972609,32.16247049198909,31.160689164433887,35.15470228657087,33.94706924312774,31.947525580705477,36.28220986863134,39.362892445600764,41.4399479215644,43.52671743031305,44.49852292142568],[22.25897854622087,20.84698857488912,21.943300346454446,20.228240525093913,23.66021991623408,26.69043219881297,29.484345996957117,33.770344042235074,34.18284223049749,35.540731388706895,38.75755579916033,41.3426022265986,40.13834360064469,38.657994038610795,43.77278674180672,44.77796326779164,42.07242984169898,45.99445175521424,46.63541933995107,48.794108511857566,51.17622004374391,53.95218866149765,54.13174381631052,51.95465199864827,49.65310638458852,46.6533073700895,45.11818531741106,42.652308636692005,45.09251016195053,45.69303197259289,49.99587579450352,49.40746876296211,53.3985828771811,56.61576711765554,53.647688627799276,51.12211947806718,49.953450656805884,48.93311283119796,47.20312457851752,51.63918936593717,47.52386431425846,50.21408486421931,54.08011370680486,52.05983933432088,51.04519339827793,48.6696019379033,51.18496570055358,53.62510917456095,50.47892421971605,53.29172125640963,56.3319295515661,55.33157475313422,58.504958301343805,54.506633801689105,60.42853666746608,62.20619348145513,58.92903379673151,60.47133481593904,64.84587746287873,64.11268425901525,60.60349072700682,62.69491113848881,61.646063585152355,62.58278296082611,59.505762260051355,56.51348161939314,53.95437102572054,52.056106323029,49.17852240849195,48.151918905181226,46.65320107650911,48.95555240798539,51.56527853388699,54.097499677911564,54.12010703414722,60.37096110151208,58.38838128443115,61.77120483170311,60.05334028784673,60.002866772572354,57.9886870140632,56.255871235295835,54.214203950122645,53.31928685477284,49.92732421637051,50.43692971824573,52.82111056858905,54.641142511846816,54.567846850165594,58.73009900526083,56.60078035890786,59.930730208930385,56.887949669846805,55.25216490770559,50.55288919043132,51.34257154357707,47.004846817514306,49.32172357093367,46.63705726112993,48.04065360734118,48.85829683976341,46.78803226908537,48.04138917095449,44.69408011246454,45.69373054150258,40.60753901567181,41.603969517854566,38.925877744417114,34.91146615286905,37.26990174728263,33.00979221343369,34.58913985459927,33.362792722667876,33.10425366120796,35.381487298646476,33.84039678305346,37.698920182655456,36.690402305927755,41.99504194486043,41.947154694769154,38.88654800900732,36.74927425589379,32.52281730354013,31.341564760710895,30.169675663178776,29.26736937282659,28.46188749912743,30.782709233641704,31.993876135563713,36.64329323264476,32.59011375579248,36.42000835104127,37.54556298751901,40.67835122288245,36.212671887657336,34.36703446762678,29.65407730766833,30.220251427436615,29.86263627609851,33.95754921720774,34.37399514563564,39.23452536719371,40.18276374340684,38.266296648803106,41.65880490068567,42.02291759554042,38.787156963992636,39.15465031664088,38.34233242883925,36.899174259835846,37.76388747781429,38.67369300555944,42.1466965486002,42.71652389014956,44.81014384805557,44.77662974160495,42.82957572538192,42.190524336810014,43.09428943439534,40.617075478997506,39.220151302547904,43.059970756658274,39.51040962525361,44.12044812865969,42.0157257613377,38.20919408711501,38.962355841351766,38.931713906623486,35.35107064202109,33.562372630751646,34.54997903333722,35.381861372156436,39.76859965367702,42.272075255204314,44.68053583594318,46.337454654381794,46.47922943834659,50.96579320472823,49.508302642056414,49.45412026150684,46.59748139090195,42.81566681103967,44.7651120902769,45.980211789518876,43.821687659602766,47.93597497504371,48.28439364083137,50.71732495271986,47.397782160851065,47.973596060259055,46.381146270498284,44.976173824124096,42.37660092693358,39.699582575536496,38.55990289550352,36.44335891539818,32.340295188566074,33.22873666594808,29.93979981744698,31.815202156033415,32.68119058183724,34.41454000778123,31.172713927800572,28.384304610225996,31.860744747564464,31.065306457398847,25.068418050189965,27.69144056776327,32.73186608811506,28.30597320264482,26.25967472941784,29.599191644360154,30.743934541308427,26.298161544172693,26.74188863422182,24.3382931702435,28.96507879726544,23.198585828515338,26.293490843967366,30.08644261635703,32.58904943799996,35.66919721426385,36.931972802425754,39.543196748655554,38.840828610232556,41.992742539823254,41.4539022591443,43.364426732392815,40.46689735758777,35.772738801854935,39.011109466274625,39.268708542354915,34.47815893095959,34.155374034047696,36.995115582281024,33.461980352141374,29.69386876681493,31.92227305432304,30.35639296414054,36.05871204538664,38.41916419604442,38.72389911507402,42.4984551950586,45.474366917901875,44.63587541793783,39.8662173413222,41.42977828226869,43.91306174785215,39.706199284150856,37.336073435637346,40.7114612079133,40.295871864872204,36.10128902759028,38.7800896711543,40.74079004062951,37.46801956261399,35.75085364673504,38.50675616970421,35.91589998828939,38.46019889400498,38.109375326632794,39.397336419042134,36.85534062974661,32.49198228426878,34.83707818649796,33.68059381004917,30.519196877418523,29.393028079404445,32.690270683245366,29.28518597516339,25.26630536025143,27.475736893497494,29.456210416848332,25.769847976902334,22.523654098652298,19.543744874159003,18.642238176027426,14.8790162181293,18.647886111274005,16.78534541841311,20.80545888274944,21.741590462408006,16.94682818501048,17.335437996125055,15.58963587607555,18.125164772274356,22.6394566241037,23.664371197033713,27.645880292645153,27.325938139330493,25.657712139979438,30.530372172037605,31.766243360868224,34.23905848875431,29.713403718596332,28.099491913431535,31.715103684082372,30.772100330448485,27.860294666864895,32.077510702426046,35.19920794631961,37.50879472062943,39.48254694055707,40.44132517554043],[24.071616896746452,22.064655671242406,22.896974258282192,19.635736125066778,22.25964326675794,25.730290176345896,27.787083527282217,32.31661203785556,32.5679691851571,33.20373896281983,36.52667509542458,39.42441927360142,37.519637307784066,35.88040396912842,40.96497267056997,41.8863503504331,38.73435130380897,42.373371383845026,42.517797324647454,44.70110312280121,46.79929771919174,49.46677089912855,49.44490453754963,47.09031387826235,44.97310388669621,42.11707536267349,40.821372166391576,38.6694911990725,41.47287261016585,42.522288344299504,46.84770615710366,46.62401812785277,50.73813337177563,53.605350936233464,50.50286394896105,47.65705736515142,46.77423937609449,45.17213169634134,43.258353048188226,47.666983901563256,43.201238155711465,45.87567094680753,49.67243479154089,47.44753164999022,46.19459498956435,43.79598489000052,46.17589011806498,48.79197950963668,45.866865256661285,48.56888700744854,51.774522020522554,50.92476257900194,54.1483741345717,50.30512321063378,56.36349463721952,57.889522578950945,54.627785095292815,56.437196178917816,60.6939753982196,59.671307472097965,56.2278101968214,58.47635968757956,57.62874913668614,58.25737511009612,55.09615117987875,52.33405203807003,49.73627749455428,48.1625483114791,45.20586134104145,44.57468926287922,42.92301735327719,45.24534752239079,47.95621827706372,50.16103033870448,50.46494179851903,56.64650841789948,54.55611101919773,58.16759030702281,56.37844044677324,56.16945704038454,54.43716352339374,52.57667844593921,50.981469469439595,49.913225121735586,46.28092910031886,46.94857961795673,49.04934918543593,51.27240525614263,50.88145356933348,55.38428420448913,53.184424801228154,56.54081219997873,53.73503069381117,52.389603363459095,47.777279249652906,48.78391581171792,44.513006101167754,46.96662293080927,44.53519835556271,46.49366452603255,46.661359302789265,45.007083657237025,45.63713594708356,42.66117246804561,43.38155567746818,38.47377704826458,39.85753821755035,37.04666453121724,33.28345060651762,35.70493644417327,31.47554872916455,32.30639238920416,31.129996603437363,30.169808974630875,32.24038469732587,30.21523132432781,33.846858622091176,32.362633549777264,37.63632981175708,38.06786164686764,35.01628670450839,33.22128613470878,28.744628079981673,28.001483035113495,27.424085846675062,26.223946211392438,26.478089729544504,28.30292825701626,29.71116451725774,34.17754914462426,30.120895905616756,34.198964136830334,34.703267559144315,38.00173493689424,33.06184081848182,31.12902045695942,26.381020855103685,26.40308917940208,25.735197660852897,29.9315188771751,29.679605561000674,34.421881252757984,35.673474945714744,34.040526609464635,37.51573252655602,38.289104305428324,35.15097333196416,36.032211058879824,35.62216324194888,34.63147172358797,36.06603894064544,37.301572983496854,41.15237752022158,42.210281926748465,43.74863492120721,43.334258092313796,40.93215707342214,40.33574645955385,40.65541947247241,38.21907946459502,36.12254743891246,39.652570260688734,35.64488733000891,40.289677057095474,37.974985558157286,33.81611138966025,34.89255955839956,34.57729751138872,31.26070927198947,29.315224527622792,30.680738801521027,31.46679950709295,36.12221404661446,38.87452553650896,41.44340191416795,43.49785615078129,43.56987375145338,48.209382248620315,46.317366704095,46.472186515262266,43.22636475696803,39.9805838247,41.720033914725484,42.71215382059996,40.312914029487686,44.071875786229825,44.226175520831276,46.481576905834984,42.81827783404259,43.693532230631504,42.1950231837381,41.054282291231715,38.67957367271467,36.26620337660726,35.4433762867013,33.65995976442824,29.567212163788543,31.108185879141217,28.36646347459117,30.38153503467142,31.973405176022474,33.822831780999024,30.371431712817785,28.13081901375035,32.08917019978489,31.282629491493434,25.39481296571387,28.629455108600325,33.77796868075191,29.38205203283761,27.87219418730895,31.54551167121616,32.42618305421751,28.27640438923833,29.38537551520952,26.77306592774063,31.68110605778222,25.755318036958446,28.233217850365953,32.290926017688314,34.53979517498341,38.17096770941759,38.84972141577327,40.96459114391668,39.71310647431541,42.49993024876841,41.456622596453315,43.21047188626322,40.73419285575665,35.734449623403854,38.45470701937269,38.79949236609237,34.17435410186035,33.332186308948835,35.716537943239885,32.561008595495814,28.896133319245788,30.08190028620057,29.31925839105575,34.59262380901079,37.29846746154759,38.23479186821108,41.799626664640364,45.228702436051755,43.94934305449245,39.20668948082096,41.527447248835294,43.84895131087093,39.41288116211165,37.60138653065893,41.34068231321956,40.92914793503268,36.905129581140265,39.99425123168767,42.110387941465504,38.89440301842491,37.515431498382824,40.409894526903656,37.66500911708253,39.841062078118576,38.89096451028224,40.25709237143918,38.35892954612003,33.61310928303758,35.44226058737418,34.83127606567285,31.862995279808814,29.866885888472158,33.35299174694125,30.64162904456503,26.234842919681704,27.549933579874736,30.083597711193114,27.031934135097515,23.556679678473746,20.685193240940308,20.458057966161963,17.034466518908975,21.38975488168195,18.87947389340318,22.18512834903786,22.842625604781816,18.126941475326873,17.83211319759995,16.09599346782746,17.641514185318847,22.374258617103425,22.706278889748823,26.205971907188886,25.535543354808393,25.18837296573936,30.024659126008302,31.895256314348693,33.66881392843374,29.040926529227445,28.389559776668424,31.987039883697626,30.103689349284814,28.278506053399006,32.60681146302079,35.39467171092361,37.49960228130408,39.59760432039277,40.79666637542005],[24.199882699025167,22.792403074243087,24.5266410644887,20.85481771379365,24.79503318015594,26.819321927945133,28.918107838825907,33.404909429943054,32.75827446485128,33.374611479841164,36.29630587399266,39.487410975822684,38.07964584186368,35.72489785847883,40.842907309328375,42.275813107503474,39.35207729241331,42.88591558876651,43.00826623688782,45.768731707911606,47.762205080882595,50.89856518427124,50.6323154436933,48.42059722472701,46.54665461963737,43.2894047573541,42.36938049402949,39.960240850750935,42.5783482172006,43.65502094901068,47.156147795071576,47.47677615444223,51.285937222211466,54.22656481571804,51.52852161876251,48.72199384723337,48.29926452742649,46.91775054835848,45.37034948960146,50.349879870541066,45.665983310727725,47.732864576878285,51.77378970219468,49.81241516189388,48.539433062426,46.513196075011294,48.98662439293847,51.45990335708984,48.844328351261176,51.92746030813118,55.08047005715054,54.111525813601936,57.11754203746566,53.11400369877361,59.21565654056061,60.52320431528353,56.97824313072827,58.676072034794124,62.92878352816976,61.90665660787774,58.03105241480245,59.84343250036721,58.69231813211241,59.17576081368023,56.32932857573126,53.55773830975688,50.298982565619106,48.61406013517382,45.15037393122238,44.24534188354811,42.33690650582627,44.18588474777426,47.27490947727164,49.83975840087393,50.48252435104981,56.75834420236481,55.26984166131616,58.87230659866433,57.53914527926366,57.768089898842504,56.338560883761716,54.987093229865394,53.415596651372965,52.855320114393784,49.14489301359402,49.271255709659776,50.97965100858847,53.01616661304557,52.1302457288046,56.31805933405715,53.67983468194856,56.60055070918413,53.64737199154392,52.36192036328737,47.73942868711798,48.264379922296285,43.99204538045495,47.13220270736094,44.89600476099813,47.05080171646314,47.75269026165588,46.66351240601398,47.56348738578972,45.08786265275847,46.53293700774904,41.65158512863685,43.478580921835594,41.099687055079976,37.14354314998393,38.991762679614034,34.41585870496637,34.994867401232895,32.98771349221261,32.15079309828391,33.375540358851005,31.446374223639495,34.87197430023767,33.52116036296251,38.243331351414255,38.48081796614053,35.1204327459624,33.36490469734581,29.168180242304697,28.695349547458733,28.323051918182617,28.330348244309576,28.91532831842322,31.31150240416379,33.27829910671265,37.959138805713046,34.55575928106121,38.884489039692276,39.40377156210447,42.2433721641586,37.2795073656377,34.75171499893562,30.541721172346076,29.682941522207592,28.312115705025462,32.57671325807052,32.04446069614573,36.687604523748504,37.49709163766015,36.09315700532244,39.729781006698914,40.1083739208153,37.00299256019717,37.76532984446176,37.66061655682109,36.12642012544486,37.89172483580991,38.32443387270806,42.383090535080655,42.68521283383365,44.17710324265626,44.30939616755349,41.990725385063065,42.04255151357568,42.24427538477675,40.64989206538614,38.839730326973374,41.95335690260516,38.31881561002769,43.08171211700081,41.38751356627085,37.338760851035076,39.03229876516511,38.97543558862556,35.94553547669299,33.48059451435365,34.868074242427376,35.00354583603906,39.636536029166734,42.16165924980774,44.366755192892214,46.30250440735838,45.74320536681616,50.73475950389619,49.13965853955084,49.63261793568037,46.7127917735628,43.46138542380109,45.813916889755546,47.06840226761152,44.43577509284918,47.815640848440644,47.44534481401666,50.139347524013466,46.404064055448615,47.7955072909854,46.654838090164894,45.43856030417799,43.48829450944337,41.1688369278069,40.56451118703958,39.09093067839075,34.813221066064244,36.36145490570501,33.53108420516801,34.94085363921695,36.821670976751776,38.097747417474054,34.38037702139926,32.59687839623643,36.41820900241527,34.919494176661246,29.1851138501181,32.59039665385731,37.30326904070411,32.22521945901724,30.84628014829747,34.48904480064266,34.74208873954543,30.25040708884541,31.67995388376536,29.613973083951407,34.680825101543284,29.659206814389393,32.29816698246096,36.267287507975006,39.15042783828109,42.54913073015342,43.70924367737749,45.82792789177946,44.80645296439351,47.71945936292236,46.57339891243813,48.71516800544867,46.292645719035946,41.096368188346624,43.956050958269344,44.679039026012376,39.995021508233016,39.03459265966862,41.628623214532,38.71482360687385,34.88994894828193,35.89195168795847,34.75992827493775,39.748472078797604,42.57722612441107,43.1969530598043,46.56480271542223,49.78972586575817,48.251175984108635,43.64465832018796,45.78876053374899,47.72194391528485,43.133189342346604,41.44378193588614,44.82238056956133,44.00933995359154,40.05380985761746,43.413472436731645,45.08133573356002,41.39378852907971,40.468471847484345,43.63420954939339,41.25563160527887,43.84578227866335,43.129400758597015,44.90503221533001,42.73179618148833,37.86314543206332,40.2608990651444,39.75215254387783,36.542616661190564,34.89196880987818,38.78855671367747,35.89743687661045,31.370520917718846,33.184553278090114,35.87567403451657,32.59784603621055,29.043869039369152,25.6826375409784,25.67936469482441,21.69515956134727,25.439824237461846,22.43135973414377,25.925717750391655,25.63554326825311,20.970292479867314,21.656913969616507,20.749666248248275,22.647534061213953,27.328721366270223,26.87359389621395,30.601774773517143,29.162134648257528,28.12687583877662,33.036684649133285,34.57105809615395,35.84051746185592,31.327942586675814,30.356574739919516,33.35701150410422,31.404066921548075,28.87450405798762,32.964756116884395,35.571822751878656,37.882043863452076,39.805723037363855,41.067074706366405],[27.93319495678923,26.56698551726127,28.253107762698438,24.559834875434827,28.265203553376846,30.460174674874573,32.38817421458661,36.91542266501619,36.18138949256677,36.54360325529888,39.43254575602626,42.76338958180229,41.142854109147216,38.63273747486665,43.70766376024617,45.167986420748655,42.048905390793564,45.36994459600861,45.119408725751924,47.96949725085886,49.69853684476216,52.77252724308835,52.279894869665625,49.88724041921054,48.262779372545324,45.13065199017221,44.46818176607014,42.301093120285614,45.135593887665344,46.46984459793065,49.876528037073875,50.44747820917152,54.27001317832599,57.03610911604925,54.31604715938225,51.3411902980089,51.10846553366468,49.39719238716656,47.735539255713505,52.64104534465591,47.72630521408902,49.77804065756243,53.7418627205726,51.58958586568937,50.06515666753728,47.98560556343673,50.257898866677024,52.96244904087536,50.56379739355914,53.42071296923771,56.75887024087895,55.96877515087775,59.051587232677626,55.204928483691525,61.390528022785276,62.510916904094564,58.98788962489867,60.894448845832315,65.05379683366209,63.78532001569272,59.987651387195484,61.90931746097472,60.89456553558186,61.10199052340014,58.2262270460971,55.666711114647406,52.29748191284309,50.86493171981058,47.25152348187562,46.58588678796714,44.50613487835648,46.20624789871701,49.48133155960259,51.87908473969693,52.81618062043663,59.034469933749946,57.57939812131331,61.32598511351582,60.00021882292364,60.14871203378914,58.91373092756856,57.47426905099894,56.165093375875564,55.46785523549342,51.6414703155583,51.90180665838086,53.43619209587436,55.70955349176086,54.61100070600021,58.96779470068039,56.242908023826324,59.09510265517096,56.269431791722326,55.16112867838047,50.60018909496109,51.13817071335224,46.9177741848973,50.21923042092703,48.1157320249359,50.463748017836565,50.98266421331094,50.04401205945714,50.72574452567943,48.35900816187655,49.62464252945239,44.81275008704943,46.660714121504085,44.145988404948326,40.309537728873615,42.29107955310736,37.7858800570435,38.193178739868706,36.26861753923646,35.16446936074673,36.26828134741807,34.090902037438966,37.319727474632835,35.62515424183601,40.19409064132178,40.794606583411685,37.40818249162861,35.9177171272528,31.64099077341823,31.485064396358986,31.427214384067707,31.32015579893953,32.24990865761459,34.423451121911484,36.350682302400195,40.905914588451935,37.335097901446936,41.63329220408803,41.917479897041105,44.97233588129584,39.83466246762594,37.43243275119152,33.11050297887703,32.15918846840467,30.67412963129009,34.94566020738114,33.87920196971543,38.35531863231461,39.45713613582508,38.310813517068134,41.981542983956714,42.644875495486,39.61997297546654,40.65890757426607,40.733028882408505,39.38639376672753,41.31565684139998,41.835384306260295,45.96944749815861,46.33652048976371,47.715297646773976,47.78300720329104,45.341533795585896,45.41316429236193,45.41597196764238,43.81253464090574,41.69683194082922,44.66500973775226,40.75353340231972,45.49812130262247,43.57827715656359,39.26123256632093,41.03496175366337,40.627814628008664,37.74148363491126,35.393160821467355,37.044032774591635,37.314528832909595,42.08462051606818,44.775712229317406,47.104860703946095,49.235217563514645,48.69358336570713,53.71620716466903,51.8946925737151,52.44391657073603,49.28291229956175,46.30623348189111,48.409298592657834,49.46080791959064,46.78050091968371,50.017600993582,49.61990629976705,52.05974886694075,48.039535076217426,49.546981808960666,48.346845254632434,47.3937974275955,45.43836092208721,43.2708716197897,42.74441769552038,41.263788933217015,37.13122825279346,38.89381673991604,36.2463915352962,37.9380300233086,39.789053427149376,41.29791634720012,37.64263905893422,35.737021114996665,39.615093604060185,38.33741935314796,32.54058594477688,35.86195310381748,40.71886829575105,35.79226098548234,34.319726156082815,37.92738006725609,38.35309787812893,33.860320567447495,35.10299429157412,32.95168648498171,37.90803845338779,32.55309218872511,35.33713532965157,39.28106121049546,41.90034724812743,45.216252811861374,46.29589478934634,48.5970974690198,47.56136282914869,50.45729155264384,49.42038016631375,51.31478689460049,48.80632232350033,43.78770375088509,46.56476931745884,46.9731438912657,42.334076832861356,41.48665858029059,43.859499234823346,40.71299441226157,37.08248679020966,38.13246014233357,37.38792066402905,42.47242308362221,45.28339232967424,46.12303987102383,49.56817731494929,52.90916254228626,51.43475535515364,46.78241555031984,49.02651326843706,51.08401586491381,46.520877721183375,44.8125428215681,48.2887933975262,47.56907056892607,43.588164595012806,46.853789543674864,48.62005897103583,45.01444292616019,43.951194515172,47.02481272678487,44.55789845726152,47.06902251138787,46.33935454393878,47.92487478062354,45.76537708632282,41.01507621282346,43.217062779871014,42.55067359161629,39.432847213312705,37.73568172426769,41.31993416367681,38.35797401613926,34.03572149960488,35.642239171614385,38.03425380004536,34.73063704178716,31.364520851024867,28.36102863363864,27.85051965384662,24.184879680334955,28.131863922874803,25.566376448312404,29.17695569103003,29.180524720046762,24.452775681388477,24.937308133323544,23.686217629238772,25.504627140409713,30.235391929321768,30.06389410748328,33.658687031414644,32.36535592772742,31.6593231721878,36.554941180550124,38.18835066332304,39.46764201704489,34.93302111608769,34.068342111917474,37.111628137149594,35.07459037104448,32.65942886595229,36.75022336030799,39.31560653666278,41.60436412329658,43.50956213398373,44.771509580308944],[30.736060278589676,29.03218617586207,30.5008216373972,25.967123909296095,28.999767714576016,31.40751558612123,32.715559843461556,37.32127606293931,36.42350445760846,36.145992083988716,39.031803276889505,42.60764305394304,40.42335583694904,37.74038916195487,42.69628642383527,44.10467409072192,40.6208071860793,43.58084298923398,42.78520363327084,45.698107954460696,47.069453714302746,50.0374233640749,49.28037374116555,46.70465162693312,45.364724834132524,42.399850324586005,42.07535879128656,40.26673349723021,43.417559376719055,45.18326358160396,48.48736132388127,49.4525435833596,53.32174532187857,55.731343649793324,52.94216781065165,49.68869512532971,49.77739836251359,47.52652582510846,45.72658509496787,50.566998726149826,45.33418690387818,47.28956858240137,51.14613092977726,48.80278746202312,47.00633103705935,44.95013077121525,47.01980197529546,49.90822645439498,47.82658274202808,50.51490402540412,54.00986690570272,53.4028586582598,56.50400446975058,52.85994461138604,59.12577058897496,59.95960845252952,56.46439529233543,58.63139766117358,62.63454777343417,61.057796784320374,57.33835985828455,59.382660112888296,58.56791522377221,58.416552163053844,55.50215762793131,53.226159359848864,49.77057589446643,48.702973568560964,44.97338862634446,44.71467455664297,42.451875407797786,44.068522050298604,47.48803566141417,49.550397622875565,50.83613364209986,56.93516042664111,55.444833363621846,59.397429524847624,58.050388827616636,58.06765159282576,57.1517735054307,55.62721397455225,54.76829334337698,53.931608181884194,49.9204579498132,50.30817580300494,51.51483817386808,54.15285677329668,52.71071937510092,57.341012717393724,54.531372216711176,57.338572553097684,54.76338956943123,53.95935204756794,49.53243326499514,50.22420790136117,46.12077308861957,49.57140857035455,47.73956634318167,50.55067564612653,50.530858687394904,49.98632989831513,50.134772495698556,48.13467571931972,49.15741349683295,44.57186743285444,46.69914259289556,44.11295656060871,40.54834864706141,42.547083400324475,38.155492046055386,37.955428740639114,36.087430503998675,34.40721275395797,35.216659709613374,32.62431465171295,35.50017751440845,33.324656227635515,37.671257439236506,38.7882962304402,35.4320170175196,34.35973323160017,29.970490531955512,30.325782263696865,30.86867059047247,30.598616556082728,32.40952479356738,34.13404918143713,36.17607854342587,40.468976381203326,36.975372873256056,41.3573044677076,41.11920717356462,44.26727837723468,38.83001513283346,36.41223019213622,32.20995417995179,30.753889978685873,28.948918234294425,33.17552308654341,31.34770821820456,35.54208045076949,36.943238188216604,36.17660430644764,39.87185250511513,40.92067828134506,38.062138029954426,39.5727619206057,40.034634345056666,39.08395004786202,41.46477710536752,42.2093233541406,46.587953772851336,47.30867152417738,48.23068215092755,48.00964840127608,45.22482415808924,45.360011138151705,44.85644801491298,43.35219348153992,40.669082635310055,43.26382075194311,38.999079521866896,43.688031208843235,41.6141553619187,37.01934026115946,39.108483992798945,38.39229685139718,35.869565144341166,33.442719466223316,35.43813245895597,35.642844331481044,40.5559901935586,43.42373388636052,45.85052465055285,48.30830383173978,47.68824784903161,52.794542672663155,50.60709694248659,51.34907514495872,47.87905602665708,45.44332370270347,47.319303015925186,48.142008284880525,45.28771029662785,48.118995316627235,47.52008082240196,49.73820295937993,45.3904394898606,47.20807782926187,46.117107349427975,45.46473109546186,43.75678624667892,41.89271276584925,41.657452009742414,40.478435760569575,36.48546264105181,38.723981830425046,36.559023756223695,38.348251177005466,40.64762424828234,42.247801328603956,38.52556965359678,36.991232935043485,41.121453648056324,39.89660807284136,34.248761683512306,37.8686885288082,42.77365811804553,37.95259039612771,36.7968834703355,40.570413510085764,40.880149411054816,36.60987134756768,38.19103713585087,35.89178975906644,40.96839154831367,35.44688338587981,37.890856880066,41.96831908559533,44.362473686835486,47.99570643409406,48.68430531907018,50.69624219419455,49.311151888031034,51.94328883227103,50.60271057845919,52.32473678317125,50.1022301629686,44.97302728467582,47.357274050721045,47.75514389060783,43.29642293128635,42.14423833802194,44.12713206944468,41.2398333094605,37.786627678057094,38.12781889565179,38.015932493130066,42.725390278700445,45.727468268445186,47.02798902341183,50.303058509605684,53.94446020955044,52.189587236437355,47.60086544796191,50.35231827938898,52.30479414694839,47.634927529678215,46.31547467487556,50.021251388521804,49.32977169744819,45.48893374636333,48.975124073651386,50.85730433292632,47.332562614494854,46.45678147671421,49.581642329586145,47.00443654765848,49.24780877425599,48.13297606198517,49.718403676215836,47.98873319608584,43.05581772645348,44.873051439789805,44.52325040333149,41.56818605397095,39.34993136791215,42.945597522779096,40.42261785097201,35.95754511235779,36.96926004190795,39.602850931637846,36.71019527171433,33.29270335940113,30.465457338599684,30.22544321595446,26.830412818051684,31.09573604244961,28.316948453520016,31.523701799310725,31.445443851825388,26.842902087272115,26.902494397642073,25.624718364548517,26.84659929543186,31.561477194472808,31.020997258815157,34.17875678065232,32.68840752641889,32.92349993033693,37.688276758119585,39.727261432049986,40.51469816800355,35.99207389252351,35.79454531338652,38.784184837456685,36.125324837406694,34.5098377058728,38.61049672905731,40.89760095441112,43.007840615670474,44.96932763112539,46.385404638746344],[32.08668577649148,30.66494385435349,32.506804152322196,27.73469551933832,31.24571662370394,32.87465950151942,34.062863755343635,38.565741796317745,37.121816596413666,36.705066993242,39.278470646528476,43.03091227637148,41.07953518171792,37.95324792242051,42.81655996497377,44.52568864852798,41.1734574457375,43.94863793684679,43.04757284101104,46.31889782156857,47.54129878171057,50.77580370357482,49.82078240990756,47.347748732377156,46.232489674637954,43.06349235349258,43.048025248880236,41.155154061859875,44.190059942545304,46.024982829433206,48.73246468628828,50.11764379479521,53.75889711494074,56.124268036995545,53.61202571156927,50.36697542538088,50.80842853441899,48.63546139689566,47.07403025504625,52.22150297224038,46.862676570970265,48.38196240693653,52.34423533658767,50.1762475183423,48.35375328792213,46.57457700436183,48.66468357537557,51.443086537453546,49.62256677689606,52.521499320478796,55.96709031102843,55.3037065044175,58.2394006795692,54.540406514666294,60.79950121792513,61.44229307007273,57.782834680342866,59.89863304257857,63.84959830713356,62.23855591813275,58.26833710240963,60.02186115058653,59.041974462650636,58.7326435842978,56.05067715574591,53.836457018346664,49.954430755738336,48.8912415702899,44.84094971199183,44.48241680549718,42.037918714512365,43.27901594215386,46.94877891377336,49.1660912843594,50.741200249954325,56.8201003335271,55.745030004811696,59.6958230214705,58.65993405071349,58.945864869047305,58.28757328897326,57.09354647717069,56.32528636355966,55.79753047918324,51.74457453306719,51.8019057725549,52.69415647718087,55.244818131642226,53.435127409295816,57.864847035684576,54.77323004937073,57.253310481519826,54.65370549185433,53.961021788149424,49.60286856168437,50.00017133360559,45.974144393299085,49.86188118337177,48.23281461519393,51.23002629010532,51.438677172136146,51.322427389159785,51.54107100889041,49.925694653074736,51.340437667572566,46.839270790695345,49.25027441469764,46.92423839502048,43.30554506973692,44.96510460814427,40.43403136991654,40.007341433734666,37.697194373709436,36.030169082552455,36.26730180772523,33.72337353528906,36.34317235328225,34.22571728211546,38.06795155854378,39.12854142852125,35.640565301084266,34.70433378411771,30.594756228442797,31.20697975043437,31.967861388659234,32.38095188212533,34.45972402530383,36.41498902607659,38.756689274738434,43.09934719558012,40.017910706143915,44.52391377543291,44.24854322020497,47.10973459371007,41.673269366964774,38.93191344126885,35.10663000522688,33.1335229754691,30.9299143224779,35.08709434894097,33.04595403557034,37.051802204175985,38.16865521884611,37.61538665450101,41.35172018427042,42.188600977243574,39.420990960895416,40.90617378398866,41.608022169919714,40.411485165809545,43.03198635760155,43.33233306207045,47.828026134843306,48.15667144576781,48.945014897273744,49.00274894178394,46.23574019868334,46.774899473883956,46.1167167746061,45.1564369920875,42.5944503248515,44.8490886081237,40.82805695587728,45.520942400549444,43.84752700052433,39.3630356334198,41.83212977542759,41.275351481391915,38.98197308416226,36.26657865597299,38.2598205454306,38.06300509631221,42.907939356854065,45.6223014706043,47.81252423676611,50.22025005538971,49.20426652691458,54.49783814670415,52.45890057669879,53.43364562056037,50.15306054624056,47.8007754130881,50.00971964010853,50.96502942243979,47.969605146235175,50.49797499787,49.54661030405584,52.005757291128695,47.625913717812345,49.78811222557921,48.95016974888464,48.27440640412179,46.870481719318924,45.098320852336066,45.01854421268018,44.056626246960676,39.983495428550405,42.2467443984696,40.07811230540133,41.530165076291134,44.03858842154755,45.3235780494173,41.46054420167665,40.229546335942665,44.31254052788954,42.72125463725494,37.20712678695044,40.948699931634174,45.609061142713614,40.46758321456546,39.447370471121275,43.21278039714997,43.15952047552202,38.79444807519668,40.59937577780788,38.57139406305565,43.727669514507085,38.67702534695155,41.12846518077307,45.180112537818076,47.891503003940024,51.46601317214424,52.35468766637299,54.30372838864274,52.987600312778966,55.65194003053708,54.1945824715173,56.132607200257894,53.98947670308559,48.70991586195578,51.124325935385016,51.76482939152207,47.28505752788742,46.013905467569515,48.088127167219206,45.38960854340975,41.838999301582795,41.99985384863536,41.72186177991578,46.22030687238555,49.313903936685165,50.484839105252405,53.615475757158414,57.17497026857406,55.22597468463392,50.736757009448105,53.45882655618633,55.16222286981071,50.401532272453714,49.22016802619738,52.7475274499011,51.83412199543053,48.07593229709835,51.741996506314756,53.38408796277504,49.62541491494393,49.04627260873651,52.322733796583655,49.938081168583906,52.36057224910665,51.31011343897961,53.13340447434008,51.3255385842133,46.290001937833516,48.36361577509831,48.13216470260082,45.064589800815995,42.94897355584596,46.79927185777363,44.248116103360964,39.6665183541613,40.87673329766226,43.668307527298346,40.70941757965904,37.20580365321833,34.11650605217581,34.07817913793542,30.413625243996627,34.43607066268423,31.3658255906126,34.57253482215477,34.01511107331477,29.515526315710243,29.962175271299696,29.07072199690419,30.390643484809143,35.076563973561974,34.093649741900954,37.3046078662698,35.39736291589849,35.39104300794047,40.12378033166317,42.02849583292739,42.44558744517644,38.04348434011323,37.791462738966146,40.40594352644415,37.63181529642843,35.81646289306562,39.70965776524336,41.79109251006621,43.949952227230135,45.79101169014422,47.257367537538],[36.64162156204682,35.13105459556506,36.887186846625184,31.772623817846004,34.8936588163088,36.56536535356471,37.3399957322334,41.81458920151147,40.17587013515734,39.274552103504114,41.721853062455246,45.65590654990446,43.353951008779006,40.01725130197793,44.67707668280645,46.407389506193276,42.81828370597596,45.166677680132516,43.70242561373041,47.095661001975856,47.880464408637614,51.02926148347679,49.72792687582981,47.087947770572555,46.38604772035998,43.40470595628037,43.830778157201166,42.31286308713812,45.580311678039386,47.79987138752761,50.2253020541286,52.05675414848891,55.641666619835554,57.66351234834912,55.18553589773336,51.71919862907026,52.53135685691909,49.89834195819082,48.265140581694425,53.33234126034541,47.69187931766739,49.014303746254136,52.83562935397729,50.506267498788695,48.381977959495096,46.68537495428654,48.49826475711812,51.463868789584794,50.06323426961698,52.73513276075782,56.33483941267639,55.884073066270766,58.8031552958666,55.34876365676157,61.64084429266354,61.9426628822365,58.30870775024577,60.679680996614664,64.43023434654893,62.48420964815013,58.58498015540204,60.39179743506415,59.58842586813896,58.849995940381945,56.21266635209018,54.34634693748508,50.28819623519925,49.623280882737404,45.39728792137536,45.41834052327527,42.75887826920226,43.73967941977351,47.61398862144092,49.52128383415459,51.54191130606038,57.43560218887969,56.469021901610134,60.59184099993397,59.62986873218005,59.84823535666359,59.56391579464463,58.3547271085208,58.03116290988237,57.41600468288119,53.225640636573736,53.359192475365795,53.87644151432871,56.73246083033475,54.529916842665486,59.129278877388565,55.903991137735765,58.21430406073856,55.86596429017352,55.49292530194388,51.31724256777179,51.74460239467384,47.88763478304301,51.99118406946697,50.64996318909071,54.013230775299945,53.864923577663085,54.1332007922931,53.95083465929244,52.68741110973214,53.938184231987506,49.65505815706432,52.256613111765205,49.89246984906618,46.49965777268115,48.159037462687856,43.74230378428544,42.887796915052014,40.60626783778051,38.53576824783758,38.43630502205182,35.601150967201136,37.78573427765742,35.25469719049218,38.644529919367244,40.20316503483431,36.77217864605904,36.29298864394809,32.25769772209651,33.36101375986106,34.62233113418282,35.003312747695965,37.69310830284512,39.32367097040614,41.71750098276478,45.81176874006831,42.80468123429022,47.304680043956004,46.62953933684232,49.559897578320616,43.944299886006796,41.2413016022637,37.567174510854656,35.22728890001017,32.774276068000894,36.7796953627001,34.005908022727006,37.58283255277206,38.9586910775627,38.84576038097791,42.545627561578954,43.70708045706377,41.15285866435503,43.021201925294676,44.06711425705798,43.15327676584442,46.103427701159134,46.48547128244635,51.12342423969183,51.60260942652871,52.0578798127799,51.97482626086795,48.98958746797689,49.64234100194311,48.58148558464145,47.78828146294996,44.81403862243081,46.67568687874853,42.420516340249435,46.99140391377358,45.21933813650114,40.53196899445583,43.26836152794742,42.38530475494838,40.47926644889948,37.778921795899016,40.06088268146836,39.81779630373723,44.7120402816056,47.54216873992128,49.77581530987726,52.434626046737684,51.314064023413934,56.65482422255043,54.33381002370691,55.4899099501192,51.97671895221949,50.12159577511652,52.11417810860908,52.84849117130165,49.73502017828495,51.84925675307544,50.695634973146156,52.90130693573994,48.21057807891882,50.68004873265691,49.94778120719828,49.59871803515846,48.42434934602014,46.94982327195385,47.105079668656636,46.35988231061557,42.47522944811894,45.06745470471943,43.25650592654396,44.818051063846525,47.54856849037741,48.92789801602854,45.06758024395431,44.01541524002457,48.21376773274662,46.7026232192848,41.279846510323395,45.120970343759026,49.8166026006807,44.765858186369115,43.87140140013461,47.68779702501191,47.60834438234497,43.343588882885655,45.245422906011896,43.15079310342329,48.318190485719,43.116562420003596,45.47205582566166,49.56274732003197,52.089352302177296,55.761179603066054,56.45357249494104,58.32909959595953,56.84464028559281,59.361615265901655,57.78639504849192,59.54374548630673,57.53137120772806,52.280880464474244,54.446193664277416,54.96800467774572,50.6282238035407,49.24499343007224,51.010397806016755,48.39032590251387,45.038921647363786,44.82987997708907,45.03033341306965,49.30654145400834,52.481851486631385,53.968770421411975,57.00537198001728,60.746157941797335,58.65669059560128,54.220610270594435,57.234118089339894,58.89449771382925,54.09823240258821,53.1321192097606,56.779485978657895,55.89175283146051,52.218293626227265,55.96648475456265,57.671299241270006,53.9641846961692,53.45818095310307,56.73427939491113,54.28783428062963,56.564792169131984,55.32916063959546,57.095687890081386,55.500850815965975,50.427718008031924,52.255990589330594,52.12650432320216,49.172357020613745,46.81090946506748,50.54379912251996,48.18193621915818,43.62863520820153,44.48862974785875,47.266425576810164,44.50131138541929,41.06590391007583,38.18958624309969,38.08818355574468,34.65462252618955,38.84662542466434,35.83517500342705,38.909137326433395,38.38395376975723,33.943729617453236,34.17584328238632,33.18802233207469,34.22573667049437,38.8738053320694,37.79463333446654,40.71119543674326,38.73521117591053,39.285075177654086,43.90510213873003,46.01816742893564,46.14064601739019,41.790563771012145,41.89566070931858,44.43455740275267,41.32984834504271,39.93777157135735,43.773620454031885,45.65450355698603,47.70135007393495,49.52839004678311,51.06692752998998],[33.35786671795457,31.962037529836895,33.93658075036353,28.567372605321587,32.04090676745765,33.01946043085426,33.7315329941612,38.08654955473448,36.10685665578208,35.247855186557615,37.50653899077592,41.47037827808131,39.476323080072454,35.94027091401395,40.596957994962594,42.518076167653035,39.17808068900024,41.62133082066695,40.46952937395609,44.04739135635419,45.03708399373832,48.47240145615253,47.29858531830379,44.92553168825164,44.0696495306996,40.76446258833918,41.11715079143231,39.26393050271583,42.25019153043684,44.28248018259103,46.39362995019772,48.288767927452746,51.717761244934465,53.881268231975994,51.60545790503683,48.29716651891727,49.17238745200199,46.91416095062677,45.56214137301858,50.95513380513921,45.44739276734572,46.489081726017496,50.50054718271752,48.50287686336467,46.64540010370992,45.1902354735911,47.2824809010273,49.91289409038121,48.42036396066588,51.52843490988418,54.890314147792104,54.18520758508207,56.91653638267825,53.225571225458026,59.4462912669431,59.83495457581385,56.04521460438336,58.14542787001509,61.983889193308904,60.298545918389536,56.11475224309863,57.605305988431304,56.525617806729414,55.99844634555102,53.53689155535071,51.45050607059903,47.19310105857692,46.23768455193905,41.91680817055986,41.60765798188115,38.97702490359814,39.88261965553817,43.76179147406219,45.98286486694588,47.88727304399975,53.87197702562355,53.144789867452005,57.13072352621702,56.36911157949103,56.86258194280191,56.54412672622281,55.6558523343417,55.122420866541425,54.86771683594201,50.751278282768304,50.51027479835628,50.98765623923547,53.54768938895755,51.30035417142297,55.606095373627795,52.26245280455403,54.43637801585383,51.92454044914833,51.44809641435783,47.24041986425831,47.46353040051836,43.595413601022656,47.86691360605508,46.554831892346456,49.90990578825899,50.05045955232727,50.509590664342994,50.546391260326196,49.48041825579122,51.16904349288098,46.8987282230234,49.70780738095625,47.65841822763949,44.146640705224705,45.43251870514469,40.88075988912087,39.94794280569349,37.275560418553425,35.3986773672079,34.96243475759167,32.357308801544356,34.55425589475322,32.387316541549374,35.628623490359494,36.76835806916313,33.22725000894676,32.58305114716203,28.783080493360174,29.82028588429892,31.027079042283567,32.006233695118254,34.693880323287985,36.63023472134742,39.29042598886316,43.51109266014394,40.96761731768049,45.5938522143135,45.08605337175908,47.606900698698304,42.135344687876575,39.0658606769733,35.77375483594009,33.10166437747953,30.430637074374843,34.40610186467689,31.999669665529897,35.67745856561496,36.53176531497817,36.293504946743056,40.018624646000376,40.74302378845809,38.16269361093961,39.771667249956444,40.8514203043319,39.61819870695391,42.63869383243926,42.64720095867384,47.318771928893675,47.506979951241256,47.91007773034198,48.05051349046899,45.15911569366572,46.088951442423486,45.060518031751734,44.67545129696266,42.041232860268536,43.78801618926453,39.95975149966113,44.57714446272334,43.316022450810955,38.965908532027605,41.90701815948308,41.51059434696174,39.59380473937316,36.54161024536245,38.574444243976,37.900459185749924,42.63530258418106,45.202558912731305,47.14960955274435,49.59778100694366,48.16864148182618,53.62626707924947,51.622522041976744,52.89615627536161,49.74906072070722,47.69431172906728,50.17152153255309,51.205532162767604,48.02496526836062,50.07835577422797,48.6974939103248,51.3660952846361,46.954566662876985,49.542194237038366,49.04661792861737,48.38843261879643,47.42899601382948,45.85905388083983,46.05675948339232,45.4820280836572,41.38710847665494,43.82683415948597,41.88366823053785,42.95251937222525,45.902178137515875,46.84881500559878,42.840933534237095,42.171511434226794,46.29651776346428,44.34577391222827,39.14402440103137,43.15676692627279,47.52513043501852,42.180549905034766,41.529842900075074,45.36205744841522,44.858165355613934,40.62460482697108,42.88381544340569,41.04288783299957,46.329429421761084,41.74781459507486,43.907697450881685,47.99700127935167,50.93388670723135,54.67758232747242,55.52729632837928,57.141735485354516,55.67790401481218,58.19875130867379,56.40552907798093,58.53739300190969,56.69429406401805,51.161653010108694,53.38643702169132,54.385556106604426,49.99951224038228,48.3971422508226,50.41267760152864,48.16690844581074,44.566367137109296,44.13074054651033,43.90057722266487,47.897599972228434,51.16943313403434,52.39432961315663,55.23033551315408,58.826175153562254,56.50961213035132,52.207344748418755,55.15371391013229,56.50072000508006,51.620979275729255,50.82721278701267,54.27113022444731,53.14999599606993,49.60253544459293,53.57304225056313,55.026925491619494,51.12041207827945,50.98233272872348,54.43338337283491,52.19934432300737,54.619615730020534,53.392671991639084,55.49706111787694,53.89980950798553,48.64623499979856,50.770374605260145,50.912170313364264,47.830610878909425,45.52032853258827,49.70995162630125,47.451318213031826,42.62719954573976,43.73119144103585,46.92200087596745,44.180975521029715,40.513767421752775,37.19053560104517,37.68708279969644,33.871533953550916,37.76425233252088,34.202402258950144,37.06425610951728,35.95887919452039,31.74351173111212,32.30854565729515,31.8601892393545,32.91822100236881,37.46853414859732,35.78790006701516,38.778310371660744,36.35575141440277,36.59251577964058,41.1352424408879,43.11342078389639,42.88102715881309,38.67304986583191,38.76781202814759,40.96287838945674,37.76211214468023,36.301788257355355,39.949017546080036,41.646346097876815,43.70135088735601,45.46021970162774,47.0580622714391],[30.056476160736842,28.386697861369687,30.087876342915045,24.808858815057405,28.014421700365467,29.608869888461268,30.499292104420828,35.004190318072595,33.528999477538996,32.900937079644955,35.514729896581485,39.306156400628815,37.166437023599634,34.06567359113406,38.916938707646565,40.564326847033136,37.14392324012571,39.91443574333624,39.040128693300026,42.274832350386035,43.55864503193958,46.807726909605464,45.92936250453907,43.517118500834165,42.302523524190775,39.08358456629877,39.0101097984066,37.0847745558368,40.124118261455735,41.99139046499593,44.74952700923892,46.13752064886199,49.81248254085447,52.128611725476546,49.577973885843676,46.31118421196843,46.764807527190975,44.56897959701315,43.02969310389611,48.23093209819493,42.88955268565078,44.370879420799966,48.36713513014126,46.2719312203451,44.54028669491332,42.82371795189144,45.021141755796904,47.676765422850906,45.81041260942831,48.86075145573906,52.21498745407304,51.469664935185655,54.34794151274093,50.596279399925585,56.83848432359271,57.50273688422668,53.823592099689186,55.886715443243006,59.85417636965366,58.30931869704331,54.29611253566749,56.02687392989798,55.028751014414844,54.79150097585637,52.09637019386824,49.82261225312256,45.992494273080744,44.89025804790576,40.90533835169974,40.56342963650625,38.165201493836996,39.539794758087695,43.12141713644728,45.30638634698451,46.793079150892986,52.88655102306992,51.73270337325,55.68052640170671,54.60953433552813,54.88982821193335,54.22473090105265,53.05884000924478,52.30720887557737,51.82827911546994,47.766839897228174,47.76819328686003,48.63375913441689,51.184621599389274,49.37325959996509,53.82616814879855,50.767178785044074,53.31203646579797,50.733070292892634,50.0513723548654,45.70045946266091,46.20009458910398,42.182784317804554,46.00591827039524,44.41920353421011,47.53675239358189,47.5588402131061,47.550914185993925,47.62854701104628,46.14691492522027,47.57584045545197,43.16221701954949,45.735255754450016,43.500935944615065,39.95677217834428,41.49051801355821,36.9832826378529,36.30377420286619,33.9481002387364,32.138001851011644,32.27599104327203,29.677379115935654,32.269944154452745,30.165347307819673,34.06025728644453,35.09086186270489,31.61703006244838,30.685247002259434,26.537753914289862,27.207943880702977,28.104911898518143,28.538849522163765,30.917406493726094,32.77367743406413,35.234482747760474,39.512854328836056,36.66175001131292,41.23935101455624,40.85776564237205,43.558183535816966,38.103966672693524,35.21946699166374,31.605348215673256,29.35575577423722,27.015051655059093,31.146647548389982,29.1314761995922,33.16576536406822,34.16471248134121,33.59011193028466,37.33099720205138,38.130911684078356,35.37979027723629,36.91194495882464,37.705028626871425,36.59332514379075,39.365783364079604,39.737140294579454,44.31766399889103,44.82988081619472,45.419573908154014,45.337647561272306,42.45832558954343,43.01829458089314,42.21335408198742,41.32924575489625,38.688847060171916,40.8402895790867,36.85788771440455,41.54966631374699,40.00939236535398,35.615880343373114,38.222674289503225,37.840511516022204,35.631429410106335,32.72798841150644,34.67856869059118,34.28480246846878,39.09167824246997,41.75384256565805,43.88257073781384,46.3122722927627,45.22632803077561,50.549635658466435,48.49729770805637,49.54087856051946,46.301985240819484,44.02463794571804,46.33862855779814,47.35405754749574,44.293087694440864,46.70943935965926,45.65421972519464,48.24604354746216,43.951508450940096,46.19311373855742,45.48762375951526,44.7222894109743,43.48402555971772,41.750275754530975,41.78185565668214,41.022175006567736,36.902464420064625,39.2541488059678,37.229042255732864,38.46779262448033,41.28071982170741,42.40104970717261,38.45740544833377,37.5887739642822,41.75406081639355,40.009192546951084,34.693792304612785,38.66673706516902,43.19866686716795,38.0360456502123,37.31055435761356,41.179592888509504,40.90891117928878,36.73349545410146,38.89089140512801,36.85346116342677,42.13276541522332,37.283671615659166,39.38630308639004,43.51433682386872,46.297820361118156,50.12218913069968,50.84224662024404,52.44524334285981,50.933064765082136,53.44290482083318,51.70412658330062,53.76048199823261,51.87666703887238,46.38593086446783,48.62785474377652,49.55448328631796,45.154701404279756,43.599523920266925,45.638442454660655,43.323581365368426,39.710738705217246,39.39548436091925,39.145757941057155,43.29786486918295,46.517029021594134,47.76381191179632,50.70459927075076,54.333132706869826,52.15334780013517,47.7634612546197,50.70302387127235,52.220306470846644,47.38555796607865,46.476461070384254,50.045900764696405,49.07300901378953,45.44750654176301,49.31621532384033,50.93996164942824,47.18531846233636,46.846639031643136,50.21449821645927,47.847883490447785,50.15751361707756,48.882460947259844,50.86682190680238,49.32130924720829,44.09608926692679,46.091592838586294,46.19590521797006,43.164014499348404,40.78116505369405,44.8967528326709,42.68181507471695,37.86293696379808,38.88732191292528,42.075335784164345,39.39211482053066,35.715129759802736,32.456848442439345,32.99283403609162,29.264070057795998,33.28067737129362,29.772065614446586,32.5883295692269,31.741949063258026,27.447179068686747,27.77410624701304,27.161020391651153,28.151811137788982,32.73234724575119,31.26253112712419,34.280573495240915,32.10888070763253,32.43868319366198,37.05489644819988,39.12670772183657,39.204934106828425,34.85827379018496,34.96809649383714,37.48556611085237,34.379785482709195,33.03563778260259,36.911324277953476,38.82356970148873,40.863404350074966,42.74896377517216,44.31136744514791],[35.14129185309057,33.21815974510353,34.592472941850055,29.03981266932534,31.394510018645732,33.49682062810924,33.86970864499649,38.374346568694804,36.96372625913473,35.734969325634836,38.35997439653063,42.28902987022641,39.50381266580892,36.39230199280857,41.00700896891345,42.484923608739855,38.63788306341816,40.91478700794284,39.29446712759531,42.47245761909766,43.23116344932985,46.190831583600065,44.95208893393299,42.220197316760704,41.43645603971243,38.60743304641143,38.96804445656164,37.64262684846397,41.10310991592332,43.48316181152392,46.23129698947136,47.97951906697948,51.72382795022409,53.58183547241642,50.89606140010994,47.30492843768757,48.05848005872442,45.1477054060008,43.34693845251451,48.244748997172,42.56303114936024,44.051964069434995,47.791288296942874,45.341634491346454,43.18476315832591,41.39412830668389,43.19591898210729,46.20658191917056,44.76338544253586,47.37443604106087,50.990976672830655,50.57915190199391,53.54712144885968,50.165948336218285,56.475149697717725,56.78124831875129,53.23109096705225,55.69419015129766,59.4211936864374,57.42408985448262,53.665720556710056,55.66987298729279,55.028860591411586,54.29347167239295,51.49592535342501,49.666116314347924,45.864196447411146,45.32351876442739,41.29571098192724,41.56732685142848,38.982073046132,40.25369016334677,43.956508157360176,45.599868368399456,47.52213712074659,53.37676495378905,52.093438236139974,56.291254769086926,55.115939561657676,55.12354684123575,54.81793223677039,53.41714336406252,53.24068329717992,52.44288202535491,48.2047210410972,48.526506783339784,49.05762436786635,52.10385778368553,49.973129452732856,54.805811043208735,51.74209560940362,54.2697305801598,52.058916196517124,51.752872798555934,47.61330995817092,48.350296466418804,44.52158048920735,48.36193159467073,47.05296948205227,50.563774923671446,49.93666518350894,50.20400952302198,49.66604901701818,48.449604553187335,49.40018958990937,45.25778626273229,47.925461485091326,45.48851459304636,42.31327605726038,44.04272236592617,39.80256381697992,38.64478879576225,36.611437098553665,34.20913231745552,34.21459659035025,31.15375791153742,33.26918087902363,30.501158296299597,34.08715343822523,35.89321842821889,32.58521334699407,32.2343164650786,28.00875956854572,29.244643032055937,30.74068793798518,30.69723428105775,33.795972735063756,35.02913037890709,37.37714602603486,41.24867601220372,38.27004417725349,42.752770457619036,41.809420912359805,44.77572414378613,39.06674697717337,36.43833195412756,32.83422188205148,30.34953809711844,27.877862029538537,31.820213315272202,28.821478164024725,32.36423146381845,33.94345260405984,33.882034592107274,37.55186093909052,38.97014279356513,36.47163388869407,38.58354180821856,39.7253023247407,39.181223917888495,42.269221240890076,43.027685264576675,47.722568787392326,48.684965466288084,48.890490938216985,48.437786048875104,45.24524670586996,45.713425751878944,44.4306440338341,43.44687714864021,40.135850940913855,41.926739731200556,37.44231288824111,41.9592163352606,40.02136675076962,35.24818543002668,38.02492062624194,37.070175251606344,35.29449624125024,32.574548151382515,34.95986238439379,34.73929232897491,39.663740146689626,42.589800203638916,44.92906600175919,47.75258893867854,46.76595400742702,52.03559040586343,49.485741145724226,50.64327784068175,46.95191256680054,45.345714762566764,47.14235116745943,47.758155509053275,44.60921002909129,46.61392833494886,45.48160785902512,47.56801782534632,42.82655397124,45.310141840662354,44.60267697448646,44.32058197103716,43.23674170503011,41.88340051345503,42.17113684072817,41.608425688708806,37.8188951681839,40.63016492465106,39.135537622261815,40.7192340222184,43.72008133138457,45.150987197733535,41.310162715124605,40.52591415725318,44.86066453726529,43.44650064623989,38.210727781766735,42.22842056564172,46.929402389949146,42.097921677809026,41.46580021129541,45.3912737925237,45.29557848431062,41.31987270963618,43.46512039580376,41.19407539198121,46.42460921134342,41.12319007111951,43.087938410320554,47.26772890564101,49.6118073012476,53.59552247603224,53.92903387948582,55.45557177200234,53.67247266224379,55.94993163030547,54.111914816356794,55.788303953851894,54.05273184121064,48.69991657286947,50.561976369421444,51.18876820403696,47.01207958283555,45.36325537096409,46.90280746687111,44.61482601640492,41.350638808060495,40.59585190940484,41.12834415673953,45.061730713769,48.337379728421425,50.103020157942694,52.98339851719536,56.90936102997738,54.64768450324393,50.287574389334296,53.64713905346145,55.24381651046927,50.427065301448664,49.74394311664949,53.57201553284569,52.76785852851055,49.223090351703135,53.087888815754255,54.9323927542195,51.39469960892824,50.984361282248614,54.25480955728919,51.7003621850201,53.69984389226648,52.13416950710107,53.89796265088775,52.699534297666084,47.49865533457093,48.998224653468455,49.181051563839354,46.38150291244088,43.60720460022042,47.40269260857689,45.477731334272406,40.78154422129622,41.19808094389767,44.273716893861646,41.91214893469142,38.39140393493435,35.59248834468834,35.92267111105359,32.67555971798838,37.03390303351582,33.795135642602936,36.424405341503146,35.90190078391674,31.65488253003482,31.475502916742037,30.513315384402794,31.049147884266855,35.55800275695586,34.21273019615823,36.75682382300743,34.742948165586,36.00614396734658,40.45388583197194,42.88475401398617,42.77124511582013,38.447697960904264,39.08223848804889,41.70264665026946,38.22560577377375,37.58122405285182,41.48575843081243,43.24739714100451,45.102627038613576,47.037378044445866,48.66258686759774],[35.960846573130524,34.168390089029415,35.753902598564736,29.82597527115404,32.35443942364421,33.71208474907511,33.757980153022,38.08659247274852,36.14582518598842,34.60666900569671,36.891655108196574,40.98980040337689,38.30044406428384,34.78006248107727,39.20150313354086,40.92718478229387,37.178522035104926,39.176198329510264,37.39732970837252,40.91561281469945,41.49656851169688,44.716281969317365,43.28796189160546,40.70590001010473,40.150925153450935,37.119161098161655,37.818724488109396,36.446946749940594,39.780755462365306,42.27551270283326,44.392341946075675,46.60722766148399,50.10964914065393,51.83747518372444,49.42720493813612,45.830917314095466,46.984872512632926,44.11357169498043,42.579254361258506,47.77187923793499,42.00121714864338,42.97824420928729,46.80330208130148,44.59083653388838,42.458011117843995,41.0286274235446,42.88142004406057,45.68189011187948,44.52934015410806,47.414799977229876,50.89957031484169,50.39788199575466,53.13563288953171,49.70932390265785,55.957262883889,56.05874818485742,52.3565373091814,54.733561010217635,58.37892996100245,56.37277639535858,52.35095854254096,54.03340005160835,53.23199751931413,52.33526224235507,49.78948434240742,48.03385876984141,43.820525853540744,43.31557290161234,38.99815915835646,39.235295541787856,36.47334752440538,37.387376704185804,41.30737455559353,43.03214429813445,45.25118248789173,51.03866352101048,50.15195410423615,54.34582507071398,53.48010523268374,53.75145669041115,53.74285118943582,52.700207334794364,52.66526358817248,52.20282716048773,47.942649699044026,47.90249547612159,48.057595319156384,51.02486290195561,48.49201721650018,53.12501371416511,49.79795069153222,51.99914426384155,49.82245941986263,49.68194750696308,45.671214469720525,46.17959689739643,42.49199187136324,46.71935549489665,45.686042982926544,49.4651677085095,48.907388398636286,49.69306587649278,49.10289724293627,48.38068035712244,49.69598191428187,45.735649039856064,48.749469281280035,46.62549010340914,43.48339131097892,44.81348822681058,40.51502756070314,38.989235975940986,36.547663205181884,34.0748206126422,33.419241138039496,30.394252312023593,32.12728988560304,29.41750185671071,32.373905303081855,34.15594380144053,30.774300134469385,30.655522939957933,26.79716615316902,28.38202110546964,30.211716608496378,30.829592175174245,34.335865797093,35.68091641846633,38.339192144904494,42.15864255718255,39.730570485244236,44.316896709391315,43.279069263037144,45.85527359696061,40.194074896352596,37.21477577749377,34.15128606137644,31.05584209456939,28.15753558151663,31.9099084423109,28.70704741449912,31.94905001420338,33.15136943037415,33.34995095536366,37.00487867492453,38.19851356306974,35.86287995639146,37.9899585874114,39.442924153026006,38.75084144423003,42.14822370162412,42.531109838267334,47.348627419794646,48.06124605673277,47.98209997091185,47.69790151165083,44.46199009026981,45.335917619044274,43.78789292786551,43.40146717894673,40.16574631478561,41.50049739076498,37.320571083732766,41.7715903859243,40.33212817281879,35.784982321871844,38.99354082788698,38.30256823531229,36.83710508848244,33.77584839105813,36.101903998658585,35.376252012685185,40.13960670656374,42.85626277786719,44.90340428764418,47.68369134170215,46.26590194734104,51.696650784533304,49.28128311252323,50.713904157928546,47.250397175342634,45.81889029579179,47.96887964630837,48.73249821790036,45.43250617614675,47.02876260270714,45.47688752133953,47.8516722335045,43.162896348258045,46.034676956737144,45.67104800273044,45.326792440922546,44.65667425744222,43.435984704411524,43.93490681117552,43.69507910898323,39.844446176592555,42.697028781995755,41.29112481485783,42.449147278702235,45.774290843682806,46.82902947180101,42.85466809359262,42.537386400751046,46.84232842491522,45.04109486055722,40.07302581342229,44.28035303253317,48.674264641709094,43.59526460304679,43.239333135191764,47.18548110951471,46.6665025692183,42.74715873203985,45.246791348557956,43.209698093268074,48.54072428364584,43.74920524366673,45.54112077987446,49.72183843495821,52.36377048249786,56.41568604007463,56.833436900381905,58.12276586646886,56.29956023533874,58.51493865678662,56.42860595113335,58.35165353947511,56.83270587563244,51.25725486326576,53.04572803577029,54.035932001657216,49.898275664320344,48.00818793056715,49.602408859163695,47.69054026721931,44.32383097767072,43.180408683385444,43.57295357303796,47.10456354897049,50.5079089326881,52.193038102365435,54.820972803153495,58.696671128109564,56.136254705497876,51.95074401898366,55.39239639510996,56.651909368896575,51.74081651781157,51.34291543199822,55.01713734855694,53.98865486339704,50.616798309899615,54.72981894955199,56.34535038293604,52.62781230571978,52.61125654205177,56.046186284767344,53.677640311231336,55.76054566697662,54.133613146935225,56.18351723982849,55.06372187483238,49.69610973939246,51.36691805322688,51.82627660265193,48.95894219811376,46.14937350955092,50.282045817253795,48.50639284105331,43.61094553968861,44.107682985791854,47.50232680552245,45.219727324328424,41.55138457525283,38.462566020523525,39.218396814358876,35.728676583966106,39.87353280709642,36.215954845186296,38.64189435553622,37.589845357417374,33.57582301949935,33.65077116305023,33.13629517111299,33.60538631650804,37.99673204670065,36.05004825342975,38.503802271643636,36.00613440055308,37.24083438134911,41.53629109865554,43.9241207937314,43.275276021808345,39.14891305637385,39.94663771212608,42.14804506447506,38.40203287920495,37.89246593376282,41.54131385219447,42.98078491934165,44.78195982776236,46.61449857017597,48.335357424370976],[31.43202844189097,29.498762848503056,30.991636924946295,24.884756811087016,27.35163230112041,28.648689119899363,28.69471447344138,33.05762391270575,31.23450290146208,29.840339256675325,32.283151531862266,36.29992620569992,33.673776465309565,30.32321521977091,34.92733505246282,36.58095528536348,32.916986612512126,35.2688338603026,33.95637010830591,37.35105068812462,38.349503966096655,41.65302319543662,40.57450908150521,38.16756496254935,37.17326709163903,33.93821877708301,34.218391526036164,32.509661123321585,35.697010812143716,37.93736148422979,40.35553443980362,42.22369167771445,45.82501440671249,47.78468306485433,45.2913768223385,41.82876078148887,42.69836415507804,40.143568050380324,38.66503780927315,43.98012776643286,38.42399210815245,39.54859689528302,43.526338800019545,41.48810619737269,39.66778695181503,38.20769056757241,40.37871543812606,42.93910088240481,41.3980277895739,44.586845598437925,47.88477849190369,47.14832300816886,49.8669993080931,46.199013525104064,52.424121598402216,52.8221266013841,49.089195464897045,51.22795900110626,55.05612758978348,53.36440768086178,49.25283447052195,50.893584681341984,49.94284432630562,49.454560880673085,46.84121648262697,44.74619773853437,40.721804104100265,39.86055234154137,35.73289273187091,35.68455580602038,33.12719114256614,34.397861045345344,38.08414223117828,40.03160808186603,41.81098517486469,47.78487964160197,46.720427002464305,50.79252995067681,49.81992362286698,50.127124196910884,49.80951287371557,48.782042782830516,48.41632742134944,48.0449071143274,43.86968490450376,43.73674620319365,44.173162563632516,46.92215641541201,44.69722252488906,49.24746309813688,46.05246102916946,48.468191203147825,46.104168556198864,45.717947884060514,41.54947782566309,42.13999322759314,38.30674294695262,42.31679308273859,41.09001742166133,44.70939658049745,44.24390777080396,44.82464759152261,44.40508302758471,43.52179877837201,44.960046242370545,40.90240772726851,43.915588910881,41.88638499399191,38.649331647152195,39.88034279255251,35.52240376477435,34.07313987034379,31.570576722603455,29.238633469736598,28.742703188843542,25.85368710155238,27.921958686049383,25.517252410401568,28.945755569714382,30.314791962186355,26.867549103051598,26.38568113635064,22.367680331170302,23.66001373730002,25.278459762286165,25.934210873271436,29.313153036574917,30.790314007345074,33.51774474114284,37.460240767737005,35.172124572808734,39.82273194319843,38.98048978347537,41.378695867954775,35.822279241658535,32.685007147875496,29.689060145533514,26.59433825711949,23.728970987108152,27.609374880413483,24.978155544747906,28.621817663635365,29.525891187629277,29.349342313985076,33.06749776516562,33.9904249769942,31.483860709005068,33.38006973289245,34.66472297677989,33.8478960626833,37.15259566019035,37.556345830345634,42.35575184626951,43.131203067253644,43.12557807610544,42.81141173168947,39.62352765000277,40.4216684489113,39.037573917923,38.577996310393154,35.55625801568478,37.111918678486106,33.110427350296646,37.68168161746369,36.41312640199109,32.078524029556185,35.20749185547239,34.907924392208116,33.21347103421153,29.97583383979644,32.05421515986489,31.190040727324934,35.90724478189443,38.5089040737055,40.4868040756663,43.111620375982945,41.719391425716445,47.1559905409043,44.92678079960538,46.277969043631636,43.0056861390404,41.25939953855102,43.65518911624126,44.63188955520903,41.3608264844232,43.19123603391693,41.71443500337998,44.394107291419786,40.01154799109461,42.70363112048153,42.35860892912938,41.68916344408167,40.97394111992474,39.55854750049327,39.973830717870634,39.74103337789613,35.722297845968384,38.414440868109985,36.886364019812845,37.78939345467545,41.203264271171875,42.05896287105383,38.03038102808235,37.89627978414327,42.17039717607663,40.20376183029448,35.37119373109401,39.673844704021455,43.91697297965394,38.796750030480894,38.60416730163216,42.57089969996798,41.90427992577537,38.107126568357124,40.804415985247275,38.81583199186127,44.18687239971853,39.687558336885886,41.24715910458145,45.4298061370125,48.224223149574854,52.37858531241046,52.791509171192494,53.86159129770563,52.00816411321165,54.19421549218803,51.978581727151564,54.108635448261126,52.704628346704105,46.96825353678294,48.783731743959265,50.07256682398046,45.91974775438917,43.891490545787704,45.664091558239974,44.00568622764365,40.47449797369412,39.20591480973846,39.294835392952834,42.683924953888166,46.12252001013789,47.64855591150874,50.18654499257223,53.985005114012054,51.34699785203027,47.20763675875053,50.6176281531667,51.761147590225676,46.82528439895312,46.5002150471585,50.121005879755565,49.03514035284429,45.72272614513313,49.92439651482539,51.48401877710064,47.7548351770277,47.87453090871345,51.36293640791777,49.05579956445593,51.13309386236037,49.45801659465102,51.66119182644632,50.60967471257073,45.146217840341556,46.90574676518528,47.55724207229186,44.66189424098213,41.81828760771173,46.21007517440258,44.5844477997928,39.52532571955068,40.097046489662375,43.78494247966988,41.60741237547807,37.79669443628703,34.475212986649545,35.714049789874124,32.08480496253965,36.064656136298154,32.073084239900396,34.22718719404541,32.93029208605828,29.104569999539127,29.207169867594875,28.996707011395138,29.35251323015596,33.62843435860893,31.347282457042876,33.81135449644336,31.135136874833975,32.30181706114421,36.55242904597775,38.94008750047672,38.208183995911234,34.0980649763747,34.9758191600729,37.144646801875744,33.33836465375768,32.976950445453554,36.63527471055447,38.06627033019219,39.83971061802004,41.730030407075255,43.47723572869692],[32.64273661881829,30.38699952834895,31.42787876435263,25.456868343543416,27.11430157784971,29.41761870962376,29.391372423047688,33.8678186890949,32.63260263446994,31.156322023374145,33.92381468439083,37.80386628987286,34.680150596853956,31.79825731621939,36.38775847486151,37.653270213408206,33.66284127999077,35.98509276646229,34.42969883567227,37.41263691379514,38.314609577804895,41.19548917824906,40.143233044734025,37.45173049014774,36.42733381769992,33.60167771403666,33.76152966329026,32.43904167772358,35.96787200376274,38.37688333331253,41.41542390507164,43.00704353927049,46.87032834499311,48.67567164639376,45.83915483255136,42.21672294719299,42.856287360208874,39.87389277714806,38.00386812577617,42.869922510110506,37.23926189981134,38.85048900324613,42.60651705920283,40.18552745426226,38.16104411342665,36.34504699932368,38.30582018442118,41.190847194519975,39.57427459377891,42.33752497026252,45.855130868544286,45.344236858262676,48.30125085707251,44.85202436614204,51.15265050155428,51.57378211694137,48.055569892123025,50.456783404929695,54.23628499065064,52.350210903915105,48.6116634856799,50.693349427268124,50.08310063274419,49.51712246410264,46.60794837076949,44.66219461206231,41.096408862948,40.49989020981587,36.69432389115403,37.035241013086775,34.59385317726585,36.19637171911076,39.663764092945016,41.19802529322788,42.87966079473095,48.75589284921509,47.20878627188861,51.3998036847588,50.0606220738202,49.96282117366348,49.548036014330236,48.062436085737936,47.874610510215845,47.0282744998517,42.78911972572096,43.159592077515505,43.76897992596466,46.85191276698534,44.85654363228822,49.793911048961085,46.884315831393984,49.62030623871564,47.446763221543044,47.11153101777528,42.97130690614918,43.952584566858484,40.129711832996946,43.6985704947311,42.380725371809135,45.96459846879948,45.007998708122884,45.26705758320573,44.510755395858574,43.34561569760275,44.169042872728845,40.134241899486945,42.913860097190316,40.52057102570928,37.49509844006826,39.16208799648127,35.04664873937118,33.605637485061564,31.7018696499473,29.0718386820898,29.141940233289017,25.963877922243984,28.101291965608745,25.27823228985262,29.15177182328026,30.96953741416447,27.752804800990766,27.39011143839902,23.013146345216118,24.27803569015035,25.925970001876784,25.609187210136398,29.06663604249836,30.021088735267693,32.40722134986942,36.129307798874024,33.34542966579499,37.861931549449366,36.76783148697735,39.606128167751415,33.872656602315644,31.1675660260127,27.750941816036736,25.022659513801933,22.47563596632136,26.398409960187113,23.431602697827273,27.09636234866842,28.652508908117447,28.49935089232244,32.1714833974633,33.647156225152116,31.148327421217406,33.36284836664535,34.55744326371722,34.252068961206824,37.44875270347304,38.464177829354405,43.19045024237748,44.51837948078917,44.511891675621406,43.779501963080186,40.44799889609548,40.79410250159786,39.36246595972352,38.28888535170856,34.8075471511486,36.56274443555049,32.015156324308734,36.53474774830844,34.62018770253696,29.904960035495627,32.76784636811596,31.994912207037284,30.271957612456262,27.36941406417326,29.721035542366582,29.359817988960568,34.270084832190264,37.19118865977503,39.53698859531246,42.41610114946453,41.47941333686951,46.71484470578752,44.08953361366773,45.25923715908568,41.55059256476928,40.03291625465549,41.84903924490137,42.49860060955753,39.300460701700196,41.2545015009677,40.09806061467464,42.28905001782795,37.66545600560041,40.14842859647001,39.53531282784579,39.133274647614265,38.180720998079515,36.8542038143579,37.254365979840614,36.9141875980628,33.109012202420345,36.03520918366468,34.76952930041472,36.16420985487754,39.48370256165552,40.786450118629496,36.92663462781683,36.540810358241046,40.94492045591385,39.46698293581085,34.529880679661694,38.741520746787764,43.29052350386302,38.60021130798757,38.30622782984831,42.29894739530243,42.046983185784896,38.39608216994556,40.86257860130825,38.542805096117064,43.81382446777753,38.71374494263239,40.217737517450225,44.43853171670686,46.75917056071974,51.020980696464335,51.09550003393726,52.199014545723365,50.17075018888816,52.22919960244809,50.0802580285247,51.837348771580025,50.42150021744588,44.8815795604873,46.49601559928903,47.42250753874092,43.388272165795335,41.415202960853186,42.86640839030493,41.054788063217295,37.771756376486366,36.42682127743822,37.057655438004936,40.54905057058633,43.9432105299378,45.83926205947733,48.497230927665065,52.515373146795135,50.028238292441955,45.79193026663557,49.420952612499214,50.84508729293287,45.99643597707436,45.6280971057671,49.531747115863055,48.72819635798215,45.35969775130813,49.385267790055835,51.261439698081084,47.83316980738924,47.63368371436857,50.93904299833721,48.3771979526182,50.16699089725882,48.316170817301895,50.19897242445361,49.3597340196619,44.005741142340945,45.315181579509094,45.887408472690815,43.195552615180056,40.08689919845252,44.10448225051624,42.63395700581965,37.73820985248445,37.84995331710783,41.35157884819668,39.387527217430254,35.72970470952728,32.84752374858923,33.832329634178535,30.65489181933262,34.96609362744649,31.35387471069481,33.43317817120339,32.709033092552,28.801755367245207,28.346541297922542,27.647599913029907,27.688706374858707,31.959123674543903,30.12798009053233,32.326735115555785,30.115982947677022,31.947414864755178,36.17259400496538,38.84217244084305,38.40561535095515,34.17367910753871,35.304332220758596,37.883231783385774,34.06021626475822,34.120443374511915,37.997481005476715,39.58759543833988,41.25312667797982,43.26509325474449,44.97489594259837],[36.87702604839771,34.62011799360636,35.64128978606486,29.418198860021402,30.74059100858601,32.82455834056888,32.311465360047656,36.61157618283271,35.08625714822638,33.05628883285724,35.56767713830638,39.60492451534626,36.15552450960889,33.03133376084083,37.27264617743073,38.571156354466346,34.38704116136935,36.129647440223685,33.90885956878686,37.05194308240682,37.41488860401074,40.22639339428262,38.76214155918691,35.92036851594417,35.40959540911918,32.78015941487235,33.521619181683484,32.65284019610691,36.37689227428685,39.215686031440185,41.79939534303718,43.94486062895554,47.66897883559965,49.05205164660476,46.317964016879756,42.48003372996379,43.60209753764286,40.139948753865276,38.26766234712439,43.06311788056427,37.14821910339867,38.40242595134176,41.99431292519986,39.464642381944095,37.12437350336457,35.507174866802444,37.171215962218945,40.18527856022037,39.11984361777915,41.705636643443775,45.32735286475938,45.020533851383306,47.879577747598965,44.70141909969047,50.985860795386216,50.988732349571244,47.47312362063537,50.12024777821704,53.649561552449285,51.413560068259955,47.70907068194185,49.781869666005754,49.34108114775348,48.28757884790795,45.47548009388162,43.9329478573516,40.13255634167029,39.99756466473658,35.99522841515706,36.77787536185736,34.102734276168526,35.379976624406666,39.05101648615992,40.21665246310229,42.412564375513746,48.03452730052372,46.657574082871704,51.014389424964634,49.807478261952525,49.68010413714999,49.73378694445981,48.320049511112366,48.65297513607291,47.80248563321994,43.44667158834585,43.81010456321987,43.912204864274585,47.291784850837736,44.80353476337216,49.862820584217694,46.79170275060558,49.28595955874902,47.41492459032332,47.459601918309616,43.58200228733793,44.57093083913646,41.000728859028,44.80801373742626,43.86889703392526,47.85766299043561,46.525638078774755,47.30381709076172,46.10578110983914,45.45235780146334,46.17822480219162,42.48768345417855,45.5210863441158,43.216070146251475,40.48646052223151,42.010204014461856,38.07571388970383,36.11909740976857,34.18748159359096,31.167589141893657,30.701590646862023,27.279822526361134,28.755231177361544,25.50300864323879,28.63032653938133,31.02257132527259,27.931756333142665,28.16939861816644,24.08296181448663,25.96077263336086,28.193705916329893,28.015948027724505,32.11761306266043,32.73662725125469,35.20578432979164,38.56708234815192,36.087911914479506,40.53825033771846,39.01166025277424,41.750070988124186,35.94574014993793,33.23880543899239,30.255271551205915,27.0200212399689,24.15358668467951,27.69315389248096,23.855985679336644,26.825009790019088,28.574087433965875,29.020352326450844,32.573993068475225,34.352592870932895,32.18866974168404,34.802940732000074,36.43165994981473,36.4120572558142,39.972443092416604,40.974986305883625,45.806206737325184,47.233181557151035,46.81680691124149,45.967859555007344,42.43604486617975,42.983600127086376,41.0752127124509,40.33809955001173,36.48601145506657,37.65187639660342,32.99586674454292,37.27921554146763,35.42390344555476,30.633013069371145,33.887102614129944,32.85846290392368,31.717960366102265,28.782815964245973,31.377860091085815,30.809715450469017,35.61775969085008,38.5548531622215,40.83261730525104,43.93766777521885,42.795213770285734,48.05508222591336,45.18220952035178,46.60683198161476,42.752753616849816,41.85038779940307,43.5088771064315,43.958127338880004,40.62719634951731,41.97700404853054,40.486547486562614,42.46586077552124,37.55742025787724,40.480990433438315,40.10809761004875,40.04207330433404,39.495278672807366,38.55871179907047,39.278836166601245,39.28837444920321,35.736389127523026,38.95300587909613,38.10160557871254,39.44423476295996,43.026483429931055,44.287902101103306,40.453702184630096,40.383531392345986,44.82274395651627,43.329233212464075,38.62687458072514,42.919475588191574,47.36201500113382,42.74045406761626,42.63463974997879,46.64004010098831,46.253049727671105,42.73731768932248,45.359315156462614,43.0629721656143,48.33564105748799,43.28276408374823,44.64587516202857,48.86762845695974,51.093292144231825,55.446773552383206,55.35789788439239,56.30050254091542,54.11090603633176,55.98688525966334,53.65685747069469,55.30194102313936,54.103764686286226,48.57242975014359,49.89861165233673,50.82694043514187,46.98849256039755,44.84784146510902,45.99402230356657,44.423717238015456,41.34296471762611,39.52589000982056,40.56736545054809,43.64978314538212,47.11926894118563,49.27949554203937,51.732292733558296,55.87821271533882,53.18200102275619,49.10085994875324,53.00604875753284,54.273650334588766,49.41458667177487,49.34738187072061,53.2859542374047,52.454593957065825,49.24929086776582,53.38603320452241,55.24608341738201,51.84827237968093,51.82635578640446,55.153621053680325,52.60383184680601,54.26344345376925,52.229739549691416,54.12850571355757,53.527974791457424,48.13556878541143,49.250364401267944,50.0026261838597,47.4209718660342,44.10901983132155,48.07950381924396,46.84799097877194,41.96772368271111,41.78539054560449,45.338130780316945,43.59734904009604,39.99363207376712,37.246467780386865,38.27822841023645,35.246522820066545,39.59373422191689,35.96018060445593,37.86571076239587,37.03786772341696,33.291586145237375,32.75247398825264,32.10191506204365,31.903809931586462,36.019951110278605,33.96947629694106,35.81005865368508,33.446775565751935,35.75659253679808,39.752498232206854,42.56727527690907,41.71077736017844,37.65646205630473,39.14495145366488,41.5077381607463,37.36409518290411,37.852097722572125,41.563942373818755,42.87061481051911,44.39471077443186,46.3493708966102,48.13512956632365],[36.53812809292513,34.21642036741968,35.16341957287468,28.680385776510462,29.70812560857811,31.52004385681229,30.63337549620587,34.780648308574435,33.1040556166111,30.768530633072007,33.163163789276915,37.24019812585196,33.63538481496925,30.44499089698714,34.52965214330179,35.82044657285501,31.589287815005687,33.16027660733317,30.82421357900155,34.03703605690471,34.34336173938798,37.23345445649445,35.74360321361922,32.97458503380526,32.48405062366622,29.77027916769545,30.626544607647883,29.788766356386674,33.51238957768094,36.46171915106874,38.87239217322248,41.19091023132804,44.854099975578414,46.11323621644188,43.430151106846886,39.554140414638894,40.84059489608305,37.31516916133179,35.53152402814624,40.43882665968249,34.488411213288046,35.529878333302925,39.162038774206316,36.750347905529566,34.46833279939912,33.03243492214531,34.78957074700905,37.6372638272458,36.6611580094603,39.44877723156607,42.95685640926851,42.567588791240034,45.30357571544872,42.08843312315885,48.33823746644926,48.274987391550084,44.70046266351174,47.29630488257856,50.8008425324793,48.59256027329959,44.7759707467103,46.746011716653406,46.26182084882312,45.186991347339266,42.43107222983687,40.890194293102034,37.002829477130064,36.89869876409916,32.86448925826389,33.723604621520096,31.02525999970314,32.301537956636245,35.95687981305178,37.0585924184485,39.305167905852905,44.892651823954324,43.559893050349494,47.92964468617534,46.782287482687,46.71459243362062,46.88239834412329,45.593913135037745,46.027658921451106,45.30616544118983,40.937521877631724,41.15696560079716,41.08282468789235,44.47083813644373,41.82956060401619,46.86842258832886,43.748816941426206,46.19286751461742,44.38376093978266,44.51936225026206,40.72571548174722,41.74786544662189,38.2740540927708,42.11562864686489,41.32889271874519,45.49206998444932,43.99192686680556,45.03273305087912,43.66714135245275,43.30407236253307,44.116859298158175,40.608920020730615,43.85203525979734,41.72975429616288,39.129119193259235,40.421865165139245,36.56884030498592,34.282934095059574,32.248673625156215,29.066267011911744,28.27239877320182,24.793619864557062,26.00004708054993,22.68894981397349,25.578472310081978,28.04692803847157,24.99481289404688,25.419755904102924,21.484178015656333,23.61786282008095,26.138120180458,26.137411140195198,30.61630694790355,31.109232475669494,33.7177107564091,36.92114180084715,34.83678153024343,39.302573313331315,37.645924501159435,40.112250209212434,34.35972646383088,31.473510509693888,28.917914257838326,25.2614590848838,22.146234303986066,25.484371320312768,21.477752757448254,24.26309059316611,25.82382266326004,26.420579257269623,29.945579234544798,31.677397052413806,29.635307733187634,32.3466386090782,34.181966077151564,34.248691024821106,38.01004915572815,38.97156020358817,43.85053102162833,45.353463343257445,44.682271461935635,43.757247086380936,40.13465346043536,40.81191946601724,38.67584161585986,38.19429816691229,34.27656987857069,35.1477653951642,30.610395095363987,34.82345592875185,33.23747851047775,28.609927773054476,32.13637614194974,31.323193826473712,30.41917246588177,27.255118595965683,29.790701890894773,28.886566125455804,33.561177814117585,36.37963961162277,38.507805734438946,41.62952906648853,40.30311138791375,45.60572733562243,42.74209628162945,44.316045264123595,40.55988139387004,39.83623634566627,41.64769228351504,42.166817195525546,38.748500784908074,39.826319854247764,38.10028379228119,40.25296344815632,35.4245459236359,38.55964136573459,38.421814066763936,38.286607719054665,38.036010825900426,37.208452178131864,38.09628865346959,38.38110894110823,34.84762976826183,38.11584930002149,37.43936867435636,38.488074018559956,42.33928030565659,43.365936269408046,39.49939013132667,39.82877004629707,44.24787807589766,42.57307192773566,38.17283717466994,42.590911511171896,46.79937817156531,42.17712858982105,42.34126182731847,46.35307767482992,45.72287082241857,42.405157684435856,45.291719768750674,43.08689305892389,48.378404227206445,43.65122480025092,44.739963177023334,48.94980487206689,51.27118730357401,55.748664285350905,55.58314001470279,56.237756354287924,53.931833737688,55.669948668554916,53.102017476261274,54.876844083062295,53.92536737085995,48.25168091343797,49.417070387803584,50.6304895613534,46.903295073615624,44.527408718244835,45.63939708573324,44.46255024755576,41.36202260516963,39.11827030089494,40.14706514910293,42.80609441386101,46.363436922645725,48.5435912166899,50.76080614231125,54.91038622957891,51.98565143733255,48.06881506045252,52.12256767069436,53.15249193950207,48.26482697332336,48.47993306823942,52.36601269935478,51.44391373243391,48.41842864533077,52.71095025440476,54.47957937952334,51.07682330888369,51.31834438120093,54.71105725469643,52.24887979756614,53.8371649689125,51.656294352303725,53.71850950679871,53.31903821012317,47.82293963672802,48.91230152188486,49.95042223559156,47.40693272398891,43.95664040016166,48.133115540615876,47.169206319141644,42.161887417712734,41.88020987375895,45.71734485088768,44.18825416689533,40.49967092569625,37.6301054065403,39.08454583508401,36.013184716037976,40.215378194815095,36.3022422096907,37.875182073653995,36.75095559562772,33.295934721836794,32.751216703506714,32.402457963153374,31.971971670334337,35.87524024276228,33.37142753258712,34.97113264325668,32.32254883026635,34.88501953727179,38.65531103012522,41.545090158303516,40.28979000675248,36.41414156386107,38.20987249316126,40.34300533755234,35.93982531011788,36.840910769277,40.39015701818376,41.45362064205036,42.84313586549081,44.77115195960373,46.63039036688889],[34.38056534855046,31.8230411046562,32.43320154095665,26.093330193579074,26.59271043819306,29.097013719242103,28.293657246290373,32.556181357393,31.43065691998633,29.297762585995113,32.054124660995335,35.924841369448714,32.13498557877289,29.4530739637691,33.70564141270135,34.67601329135084,30.342203054220366,32.25602719100533,30.222223030789507,32.99746878891989,33.62773004940073,36.26028737879127,35.112758515354976,32.28375703828082,31.367758121822103,28.805200631634165,29.14898867566454,28.281615907772327,32.105806100889914,34.89846825598015,38.035713582536054,39.80046450541822,43.72616006445773,45.13014443455074,42.14270094328576,38.30197137714418,39.12151456944069,35.60731586473632,33.564538888183,38.223535531304194,32.41367837226622,34.017565684214254,37.612864945988406,35.039694309638946,32.86758744262895,31.071340841961835,32.932756755231445,35.869175157947254,34.44978320990867,37.1335788854555,40.684146070532904,40.27971740242194,43.217074961386245,39.951941075033865,46.256457287145714,46.49096729479429,43.054479783522005,45.6471329550944,49.28557963886277,47.209003222407915,43.61215613331563,45.8761861390685,45.50467143364334,44.74223345760895,41.71847207700749,39.98525015424774,36.61780171804177,36.366821660411844,32.748545455978494,33.57681340256408,31.163101911851623,32.93827620308826,36.230411318705634,37.28092117684032,39.055030827063234,44.72677068831957,42.92143255252837,47.24477567283022,45.74936920885567,45.42351499109214,45.21475070523242,43.58264692184344,43.812814634349365,42.79548662718574,38.4550000866207,38.99889376484979,39.355865716010534,42.77481048815021,40.617373359357316,45.83443091994228,43.039616005574516,45.87809595774407,44.011223592651106,43.93310960218793,40.00902158153966,41.32189766620521,37.71734321794535,41.06307085550311,40.00006524914109,43.916635370383744,42.254971824836126,42.80974970788871,41.43387820810114,40.63810092949006,41.10425939346945,37.468969935536045,40.47437892488187,38.12009736179471,35.55071501583181,37.135059329858635,33.3854307219147,31.281066158665695,29.659763141411815,26.449742408761267,26.314767038093652,22.778810781964502,24.415701770652543,21.09884721147352,24.82713197562878,27.197050749585863,24.26649266286415,24.383628978465076,20.04388336123794,21.795097622256858,24.041220933145308,23.303840759443684,27.60164871119231,27.858363358730983,30.23026444545767,33.423420546122216,30.98151029144274,35.400294912094026,33.76546102080877,36.48765354160914,30.666967518053816,28.01192204187598,25.07868522330707,21.798110323150226,19.014777781243847,22.565077557619475,18.83064801441594,22.093397554633274,23.961147548111978,24.18069790451974,27.743009575445466,29.65938043475739,27.432333321270896,30.136634878741297,31.68739736290733,31.974451943356023,35.49551330888256,36.88706768734655,41.65688817332104,43.51836381093242,43.01548355111416,41.83832131902808,38.21589636327518,38.481008152635866,36.54326034562042,35.48830756553696,31.45412723545202,32.76096945987288,27.932764220646387,32.24801431774267,30.2383431596464,25.423859840891602,28.62016421488853,27.72074494567588,26.52153519049314,23.495599210576035,26.065357100012783,25.517295006905645,30.36155153148063,33.36207573960957,35.74980003115567,38.91204480462205,37.98962969391278,43.14114158786173,40.16200241628956,41.48829775584076,37.54869354762247,36.65330363439928,38.215117432151715,38.66163846168745,35.338846828191826,36.80722590621861,35.45686023676863,37.471745039692266,32.68984848168343,35.45217826224541,35.05264959589518,34.84946668261403,34.28884667962977,33.32182124097035,34.0822092692243,34.21418171246337,30.682571892743248,33.97362667167567,33.33464218623754,34.60266278438365,38.366405843329524,39.60625102016614,35.834553890793366,36.013498023210694,40.47733929953484,39.0606472770107,34.63033512825125,38.987522379728034,43.32798414635031,38.97686412913316,39.10586787824369,43.1141918975068,42.72099427946599,39.54071302165059,42.30965345209853,39.929127929669214,45.13630216956866,40.187048329022055,41.15307347618932,45.36069709822443,47.45837548222913,52.006693058561986,51.664616271674156,52.27692527316465,49.88909186210359,51.57028561594536,49.035459696757286,50.686246913999895,49.729849131820465,44.120957312852596,45.22958902024828,46.34387626783186,42.652977770619884,40.28731624995683,41.3370495672381,40.135722021484675,37.08748494585775,34.822628608726355,35.98245868258262,38.72173335129364,42.24600194472329,44.5336474927113,46.83774349388647,51.06082968620188,48.26075549380864,44.26342300088249,48.37172158348652,49.57571658621139,44.74616237270607,44.887782738623656,48.91669108378586,48.16488944134823,45.096156622417595,49.269026486984664,51.2167848779387,48.00827451307511,48.0562524105802,51.3348770215595,48.74299765119152,50.16905252869815,47.904252344808185,49.8169529710023,49.530244684644416,44.09282553207737,44.968950055688076,46.00096691353974,43.56387387668909,39.98502720504805,44.03254552298578,43.194720407994446,38.242867843764394,37.75556224368185,41.585574589070326,40.21228105519015,36.570929701857075,33.87354324316144,35.38173868631491,32.544435235002666,36.813385108756925,33.0317751397327,34.43968490292767,33.60164348896444,30.195154812870815,29.32279386264378,28.807754017720647,28.149374041717333,31.971154289833482,29.657062868208644,31.136011881691243,28.765172413168326,31.63846265459334,35.39916932674034,38.42871613145393,37.44672933535602,33.47089728418131,35.37407084888753,37.803588769910824,33.47585825181446,34.598243042492214,38.31188764432512,39.551098517773084,40.89425241807848,42.93583917730492,44.754617830560996],[38.427545509973626,35.91795222395337,36.534616766205296,30.473300637141797,31.018926510145754,33.87287251298712,33.236270948613814,37.54212655963044,36.52071660969006,34.403194062742855,37.14665457013228,41.02192544830224,37.146428794990555,34.4790186369212,38.62691030014204,39.5526581151593,35.12139176868657,36.778239106963824,34.34055020944022,37.03276061186496,37.27332084786475,39.618982639423066,38.186338497550956,35.09229413790821,34.58034776065207,32.42387871661465,33.06366044598182,32.6200717749367,36.61243040570459,39.59392808068951,42.70135597209629,44.592389861838065,48.51673238742171,49.71874912160733,46.6895885940129,42.730292570290125,43.65110335900393,39.788957975469266,37.5636332064507,41.84933758348007,35.914605548799024,37.60714514592546,40.92046195201312,38.03078633193599,35.48991827100479,33.54269964369367,34.94597169640992,38.27182482488342,37.18700076608277,39.30033779309173,43.116507180789114,43.0543567338842,46.1159624406782,43.207095692854914,49.50894705074532,49.50352249042146,46.22906285750141,49.13161500106877,52.56828331161939,50.13871164404992,46.83872870063002,49.328923435575476,49.23332358778866,48.10058033761664,45.02497867110164,43.66075303081289,40.35414207619854,40.4913172554598,36.858209835395634,38.00570660522192,35.48293686014652,37.05705794962718,40.46188254983979,41.212913182028046,43.290436973566464,48.75244867794474,46.9229158439549,51.35969012799507,49.812664472222224,49.29044760691114,49.27730327900776,47.438886410131595,47.984503549723016,46.68531170298504,42.301875490407284,43.14651534384343,43.37378013693364,47.06083274883019,44.78964622395442,50.177908800265826,47.40335330185687,50.17512980629836,48.51222747975996,48.616804255802,44.81315258664525,46.15794666122376,42.641707539299546,46.01448575359324,45.02473925540082,48.97702126654474,47.17179092465806,47.695210419172774,46.15201566049703,45.301336490033236,45.43672081661811,41.86032452795131,44.68156182789049,42.08766449205644,39.64373289252436,41.51385995339198,37.887325683305704,35.88899733121784,34.526532887964215,31.254642579002585,31.25310457002962,27.63906326059191,29.08366807907221,25.505194208202383,28.925082643546265,31.708106097831134,28.91371927172079,29.27600292937035,25.009674639025377,26.843670695551243,29.09163010936866,28.085785009635327,32.25053623719298,32.334715949498545,34.45751210240947,37.49315969845605,34.66093010022302,38.90126072651016,37.07824636375112,40.16921272312977,34.27722916584371,32.029692050733864,28.807447213121545,25.913867907009198,23.401998391481065,26.801812566250646,22.642654264128332,25.44267709549168,27.82862821106175,28.344531474326676,31.75620423001413,34.061804490482814,31.980991329628104,34.878136887105406,36.44066743001049,36.917200143969225,40.371196296665545,41.908326006454374,46.636124904342516,48.560387058478796,48.10262174685154,46.869481028954134,43.22305411402136,43.37366149767474,41.394580064036944,40.13939210290142,35.876091549604034,37.14273534281998,32.03782532279099,36.164171008417846,33.71481519504833,28.624927848313654,31.615155208696393,30.08781831098632,29.055372962320046,26.509881245699834,29.357818860154065,29.254600290106463,34.13394562125368,37.33117086327791,39.917778534060055,43.2502735873193,42.52801959485851,47.54230802128204,44.29732316232578,45.563077830792096,41.319091980509384,40.72833177097623,41.79562297189331,41.89821307282429,38.656253499262434,40.02430716971266,38.826013200239835,40.27519520416426,35.148229344543715,37.88425072233909,37.28517663721742,37.53592011854482,36.83188791591077,36.065649151295716,36.82666651417429,36.81300938592044,33.57183475574675,37.015471027632096,36.51637967516395,38.25750739387271,41.768169265486584,43.39523405293028,39.76914480726061,39.56111147893042,44.060369376665946,43.00607018667865,38.34580934116382,42.5230570992819,47.14372089485551,42.967132671147574,42.8331078578521,46.81979317879289,46.75514816608374,43.44656821774515,45.897629912700076,43.35130884020385,48.482888551829646,43.011525651930434,44.239715692557915,48.44645931409858,50.219644240703275,54.66632800983601,54.229111118238954,55.126147789902724,52.75092459123141,54.444712096951214,52.13806572543322,53.41963127935971,52.28864653975458,46.97508150934886,48.03193293694597,48.64669290616159,45.008972285404404,42.88474770869345,43.656730433102894,42.05579051077395,39.284830086159104,37.276140197770204,38.888014220590314,41.907419672295156,45.31544717699135,47.842894371077485,50.32955102611035,54.663304256730044,52.07968819400695,47.982693277403655,52.10810904396669,53.57926065806407,48.83953118965637,48.802171322658374,52.96310965913031,52.38298435870623,49.19487781475563,53.16832447768803,55.289010230904395,52.19267985622745,51.937951478856604,55.08523900507331,52.33768419455659,53.69357220408496,51.471263956331335,53.0815293709501,52.74467264320916,47.48359680117143,48.14134743238323,48.88166506657435,46.53731581171195,42.97013222172384,46.56961089184618,45.579099150208044,40.895094974664666,40.22560051109264,43.61232247388413,42.17044814413441,38.75577650691308,36.45798664471326,37.33083781479086,34.78163135076009,39.321187687297375,36.026019806162935,37.75287957567225,37.38120667670946,33.69299964695904,32.672245649512895,31.667099355622295,31.11642291383509,35.07725775994094,33.38265881005201,34.86173420838534,32.92237786971979,35.868532644649136,39.727786614267494,42.78303292153253,42.11510974730641,38.0414513604413,39.80152261400315,42.44975870958326,38.285211222857086,39.20795661481024,43.040000994276426,44.42955076268447,45.827992462705645,47.873100304583105,49.63104887443861],[40.673858742277545,38.142922782039605,38.735323103258125,32.40911510004227,32.67687638441466,35.21962818587,34.14092878366539,38.24144193219179,36.982099048529754,34.42311299958862,36.938683063045694,40.889379154958654,36.77707327059459,33.972660202285866,37.79253911191259,38.71557184980618,34.18474613573654,35.37953893851444,32.48399297232039,35.26444953381282,35.12083694682919,37.425137333137585,35.71741898422807,32.56906752313027,32.416447832213414,30.389274235014145,31.459175076378227,31.342482051003383,35.418888491620805,38.695556410088756,41.42392652615574,43.71919290553715,47.505853179744314,48.37643397139303,45.44889649278216,41.36157854378953,42.655664908244795,38.48450008794959,36.31690049522239,40.58112400083098,34.48489371776455,35.82586444096294,39.025222993813614,36.136664836451445,33.42665061466021,31.72003622081811,32.9631079656777,36.2696349024175,35.610717958468875,37.70984638709332,41.513056283449835,41.53905266417031,44.453890373510276,41.714792602892196,47.95982467327073,47.64615363998526,44.35322027382938,47.379672836188064,50.62846294691733,47.993751051779064,44.67393666516081,47.10337830249072,47.103017993389,45.65075478315828,42.672481996996424,41.582574623027725,38.12321078934629,38.58086821704608,34.86218859147483,36.32963235545098,33.69011462477579,35.06320768813049,38.53173647659378,38.990956811990216,41.39194504146687,46.63565959952942,44.92803205936178,49.453867699580435,48.01967217359573,47.504465278979936,47.846642858159136,46.12672321236216,47.050861645522176,45.82845174311414,41.38937389733208,42.14658147185552,41.960456589356376,45.81971785840954,43.17737513185685,48.60720763482669,45.731229566676866,48.32067066091553,46.892375200399904,47.27557496609583,43.70140469608825,45.06801514017697,41.77835731917836,45.27444392349088,44.59160810401488,48.847060421645075,46.74291180896032,47.709126137295414,45.82578413323954,45.4414845490937,45.576021655321114,42.32301821588528,45.39911219135488,42.98418473524197,40.78527745561215,42.42034990447897,38.95020149242364,36.49797655132922,35.0620228416234,31.522330544577674,31.04229121645345,27.309640177308463,28.198368085172962,24.379249045543435,27.15401673373409,30.315895863321625,27.679995844260105,28.491785671366245,24.546900281263312,26.81510447277809,29.49438839243045,28.683567556807628,33.35388099277741,33.20616559149054,35.44730224395355,38.17751758485775,35.78117488538789,39.97101402810037,37.84411146018235,40.68282684034553,34.82768403767243,32.48525493912466,29.802518402259263,26.40787489828358,23.614164922348326,26.61486881795304,21.890005721596825,24.062287003651193,26.464199275450483,27.441572122567667,30.712445005173727,33.16633601625593,31.381579390924557,34.53841822224785,36.45043169374256,37.12772419544463,40.871430473741874,42.36113920425222,47.15092002661236,49.155928866710624,48.334643259138566,47.00316804689988,43.21506029184511,43.55284288834259,41.18875286368028,40.2808368047886,35.803327951193445,36.541896398676606,31.485767474567503,35.38236258504,33.14471991204097,28.159595649208946,31.52716823279555,29.993747582922392,29.485810393604403,26.807487233332367,29.72194920646032,29.28908683440466,33.97272173230771,37.08054853860068,39.51897324715494,42.97330798765443,42.0290548789394,47.05137811631759,43.68064167222152,45.17947039711856,40.93173366246714,40.81599673916396,41.88094760088921,41.90856113017268,38.553470432694695,39.37348262139562,37.833735917830445,39.23765230695226,34.002073330434165,37.13811416386204,36.843282399189675,37.26347285730133,37.00263006703312,36.54502223085073,37.592898520155934,37.955959438699196,34.885866719465724,38.48657750654457,38.30613356940083,39.8137964420729,43.61372664317209,45.05518947692897,41.42844076310764,41.629063229179465,46.11765933996882,44.928722767641396,40.57431700453361,44.86383881632039,49.27398578724157,45.1149859646558,45.233539922595426,49.22796301789721,48.93569180521516,45.79885657197354,48.48955222975684,46.02437173632229,51.17619335553929,45.94956774230963,46.95415870517528,51.151307855950904,52.958564584983996,57.515835599192606,56.96875600235142,57.60792473586757,55.08872971138745,56.60477884730129,54.05949495263073,55.37062352351923,54.5108061587303,49.12003910844825,49.930722644260804,50.73511513288215,47.276587971242414,44.92432861655821,45.52245112749796,44.30922680677312,41.63070794778499,39.12511806990407,40.91199609324452,43.439486070577274,46.93000406432331,49.58961713114367,51.81149425224025,56.1989391000824,53.36487473520933,49.46591784102724,53.81029130889838,55.04277127819599,50.28887197463318,50.579640383954874,54.70972919734496,54.052401906034206,51.06130746436235,55.18572970885806,57.22962610595577,54.137071054089745,54.139923007544006,57.34309603157435,54.666254754703886,55.92506362224996,53.530675527081684,55.257909882576776,55.1560354995286,49.81457158715224,50.378046437553024,51.38433721991444,49.11099089203887,45.37904817384807,49.0903584933424,48.37490954023342,43.61958718618452,42.77398993400886,46.359905795153516,45.14656542304462,41.702689343055496,39.368686117738335,40.52761743726071,37.98532227694994,42.43781732295066,38.9424572032596,40.40613963031108,39.78083208882703,36.33300084942379,35.310336694052495,34.53436729286621,33.76657477466414,37.52312912980908,35.43513930645813,36.60233068089775,34.40808024822296,37.695496380835046,41.30169670413818,44.45469480892081,43.3331325955676,39.47084812449024,41.568889278651625,43.957496698709875,39.49849907406626,40.84588424322628,44.49030793914948,45.591749654401994,46.840656244885196,48.832055339007276,50.666527844359905],[38.70322517348076,35.99903367685225,36.31008839879472,29.861854850292488,29.45964640875912,32.047366429381846,30.580265670219454,34.507967575321736,33.42552956935561,30.648787534451902,33.22365803053347,37.05126495021653,32.65754111542911,30.138825138745243,33.83397231657845,34.52340977366243,29.888163932574955,31.083136178390046,28.252622839960573,30.805098404471966,30.823454903314108,33.0580282790353,31.572019679291103,28.472617258630997,28.016721734089195,25.97815982183538,26.835911635390694,26.76195859165336,30.906303453492182,34.21189330023271,37.204984890941965,39.332405462412765,43.2047983855038,44.02566844363128,40.9637890673162,36.8619900833924,38.043963098995405,33.80287904120051,31.568558375194957,35.82152209224867,29.755857403566765,31.217384450038086,34.46278431142999,31.614882580099827,29.058523021827153,27.329230611654072,28.810029463777433,31.959834527591465,31.083218600103258,33.42499192946124,37.10778185124639,36.99685519626304,39.89322034217664,37.041068981528404,43.29742968072618,43.12285924571513,39.82969202370844,42.775798764477564,46.10794708237485,43.61938730470714,40.277843325629654,42.772423498487214,42.77824738179929,41.53975715592869,38.44210036039149,37.1963229213114,33.988988588989336,34.37175128417537,30.916210847400695,32.45230876999656,30.000454627519016,31.715769198242143,34.8903119393481,35.244116313047215,37.36206742501169,42.6243807325309,40.64581408493398,45.14946636449511,43.55397747137892,42.94730998525567,43.16616066291687,41.378202828337855,42.28180829638139,41.03579398984896,36.59543899745536,37.38094532632272,37.263960828219226,41.14903595773174,38.64749728906672,44.16502699048403,41.45219126425373,44.24773415811757,42.847234843791064,43.187699843443475,39.638868469219595,41.23063683120254,37.98838767487271,41.17787287440308,40.50230840501411,44.784993246793015,42.38560417978239,43.35753125250463,41.270106007058764,40.97279569601669,40.9976559583214,37.910184560460195,41.0899698046316,38.77843808980073,36.77533830710883,38.28506175371994,35.01066501507521,32.27220719355448,30.992606352413354,27.256017410213765,26.789742866656557,22.977580621083604,23.759789577389387,19.842704244708532,22.868459598813672,26.07584719043769,23.61640248414587,24.475139532405137,20.531874749352006,22.854536970792743,25.687041485961498,24.62073477292397,29.597747867895993,29.127257265710504,31.37074206656303,33.86109285647518,31.77399732547464,35.92771242428741,33.655814776921815,36.28417859675169,30.475386455360198,28.063906228099736,25.745149850251273,22.056187729342795,19.18735914299011,21.971934136939662,17.11860125553334,19.32119368262283,21.742169970460626,22.692825068942778,25.93818214183469,28.47970119420373,26.750590323330854,30.03062585617657,32.015031943958995,32.951680202031035,36.76233503620299,38.46079495603161,43.20563706317554,45.51052686965474,44.49370936588495,42.92081709969232,39.0461208813488,39.278404618695056,36.76956612784745,35.818413873536606,31.193669940966608,31.823825816532644,26.72651686528534,30.588612197038177,28.41991585926933,23.51131270595794,27.053221726945203,25.763436809896476,25.401309586970363,22.49792980469418,25.3554255916831,24.699348618199352,29.30137531032557,32.36980344936875,34.781136760735606,38.2776673114727,37.365070536737264,42.33294765176396,38.90720069857109,40.4350685689282,36.19972431403698,36.20490877546531,37.31169365813944,37.39294967181799,33.98080271090258,34.70046736491423,33.09273954960751,34.65649464028176,29.547045912447032,32.733988755727744,32.58739766390609,32.84862699621977,32.79180326436874,32.386092615781216,33.57523764869021,34.20898234685697,31.173978774375833,34.82881206632712,34.89201397243735,36.13763537497722,40.196584173714584,41.45324206414245,37.86813444866974,38.47633310684085,42.92766158230028,41.668253174711275,37.7049501503203,42.0723401426058,46.2371001050618,42.25893932435664,42.678818084027775,46.647193912105145,46.19779973061302,43.39536205594602,46.31240990260126,43.88161755062331,48.97402851218953,44.063735916245456,44.66629632602427,48.81907789658111,50.62457632062617,55.345563562029575,54.625785638641666,54.8863486790646,52.19806640409012,53.514767050971834,50.70371689454122,52.11864596486992,51.56203335307323,46.04483824312839,46.63124807105695,47.75151618824499,44.45830759135712,41.82826902624674,42.364945120925164,41.64784063497915,38.97105085526453,35.936916771373824,37.7499847015343,39.772806571978094,43.33908752958946,46.05928316029677,48.02831105742495,52.4393896243807,49.40512827554442,45.67851060967556,50.210360893668806,51.24348351477998,46.51062013640921,47.10066794398046,51.22237304122102,50.55380834109852,47.771555927555184,51.99346755903965,54.014327088511166,51.03978665543301,51.25056761393621,54.4529470578657,51.82745606197317,52.90954182510832,50.30656811972052,52.14913669785431,52.347347010321236,46.93964651682623,47.36185657177317,48.71092697814605,46.54891774479039,42.60952365991295,46.49449519606419,46.17312568873844,41.317852979510945,40.26172593326283,44.18065449881015,43.308177169378524,39.80315901967196,37.41788314849646,39.11582428675408,36.654963221730526,40.9191674422325,37.187514995704944,38.153431427806794,37.336411889558796,34.30152410689209,33.112658760340985,32.622530988651356,31.46780274299302,34.87029423552445,32.35458047831752,33.13521171636788,30.77624887542475,34.52168325500578,37.80478838209951,41.101015726542464,39.66849258716187,36.002632910425966,38.511226934787196,40.77542450736832,36.098918553493704,38.05117898336172,41.56348052857992,42.475307472339914,43.52973224393921,45.541247537567585,47.424614162607],[38.993525182521445,36.20460735723427,36.342340509586926,30.32035371340093,29.81195224328313,33.192179894353934,32.16005895971976,36.292299448996644,35.720569201912916,33.36298186541872,36.24736516079716,39.90859493756083,35.5494633554126,33.39943057299609,37.310365751528344,37.81046465038938,33.17024147940461,34.67345048481548,32.077774688831894,34.25453951726584,34.4325817185783,36.3234914874901,35.02317646471741,31.784530227839575,31.153294552674115,29.437923368958664,29.917388388778374,29.895749964711108,34.091199843699535,37.20777291655877,40.78508133058439,42.428005546923124,46.50374486694747,47.47608870139285,44.17903821867572,40.13226545522164,40.875971280385,36.64500497824169,34.12420807332621,37.93073155712137,32.03322179275866,34.09859772314234,37.15278688723583,34.01005678333068,31.389896688272124,29.193012913355815,30.465283804837437,33.94221812826697,32.781900482007316,34.60569428705115,38.49785595486995,38.579523800226795,41.76000008965031,39.05934170706245,45.333852447249136,45.35403711723882,42.30035296046782,45.369697538648445,48.725930019448626,46.207601730644456,43.24684060268926,46.083444668637995,46.282082064121056,45.17024527885837,41.85690545011264,40.598998842954,37.84383347497674,38.19578335171125,35.03106222843459,36.52353694073998,34.23533813649274,36.16939378187801,39.18365264531659,39.51203704755834,41.36435047598084,46.63152708075511,44.32966795614428,48.79425020073613,46.915430685791314,46.03025556866669,45.94617549478876,43.754216425007954,44.51559790130165,42.855458496102905,38.46949543372019,39.709850723554375,40.01672914779329,43.96157432274024,41.90910618546921,47.5695407180625,45.12630154231232,48.18021895148049,46.74111180034025,46.9096698349118,43.243037204810584,44.97700053541293,41.59170290969603,44.455626548482925,43.48883734930449,47.452966159245,45.07473815884274,45.47427909884169,43.49276037467489,42.619947297399975,42.21316309346573,38.906076551054845,41.646288020107384,38.924009528324184,36.89264886973083,38.91306193941952,35.70473638299448,33.43996415608076,32.62467603686025,29.036782096306595,29.342524791982445,25.58193532351762,26.84452809470067,23.010126218589352,26.64206767315539,29.744931101445562,27.349670103360133,27.881535653139174,23.612911888773816,25.45703511224256,27.824465372453904,26.068600586771336,30.4911776127916,29.911805263245796,31.75116248211218,34.295248005743595,31.44963390348223,35.45895330682376,33.24423095526471,36.44944148515708,30.54949054065355,28.66019552075313,25.569427932012232,22.757424862429787,20.527089767182794,23.565840040810826,19.089065410724093,21.61061261631276,24.51695278225469,25.117406466922855,28.31351590322811,31.09298460042254,29.183408581684258,32.374138129928916,33.959135703011775,35.00575136800285,38.43316148053368,40.48539659691434,45.08736276557973,47.569368703094916,46.90272174414373,45.226439155552086,41.442865918525136,41.25392448835666,39.087390956179135,37.46118460551215,32.78182108630194,33.97765535455152,28.541907636390448,32.4322238675851,29.559311253449827,24.312364718318396,27.190360574834802,25.35251833637717,24.59929448115871,22.275261806541348,25.312703112775758,25.449285399924936,30.26451301272562,33.62142388360783,36.40767929836534,39.946246089966536,39.55471684588293,44.303208886176144,40.7238065009305,41.90431281812354,37.36788771954638,37.19153623950603,37.77935584001528,37.605123324360335,34.40097934512209,35.631075321158825,34.60282663485426,35.670750402303895,30.4387155421269,33.08221447781226,32.418840629196325,32.88249765092929,32.237923408712945,31.711074939866467,32.64750366309481,32.85720884008802,29.94934357305941,33.64479988431521,33.66501841447141,35.516977390081585,39.17576656075352,40.93829690041498,37.52250286216359,37.54396219544969,42.046109066526846,41.27080940189436,36.976587061271786,41.11614320991362,45.65624954745883,41.957219145321545,42.0457168666132,45.98638703354811,46.018319617307476,43.12531909734892,45.63351851245393,42.95074430641362,47.92178927190951,42.41476174242569,43.223109002714786,47.371490214319074,48.79592788192708,53.43316708433376,52.59092078451977,53.14720706329806,50.4885013460388,51.86665332562233,49.36139413697925,50.42028865516606,49.599956411208225,44.37404338623589,45.01243321862136,45.61559018947939,42.29597729999229,39.958316632464076,40.340672236395676,39.1276338666661,36.641457828450406,34.020126527074474,36.16073897474424,38.693684884422865,42.107381197005914,44.99521610236071,47.28900833330944,51.78964552283924,49.12673177091298,45.17656995710367,49.62793662264022,51.083368571357376,46.463881573699375,46.702845383337355,51.013076941081664,50.60745819942021,47.61363876000044,51.53988211127002,53.82486691929393,51.04305576170413,50.79552827363259,53.80724604602783,50.96326888546455,51.947008491306285,49.414250759115525,50.89104794029556,51.00504830949361,45.802531275658474,45.9869210898743,46.994453057708576,44.93185209050376,41.00477414004585,44.43355310837178,43.95879159153679,39.36527871569526,38.1305469643996,41.63703441766946,40.719981954430196,37.42191266169466,35.44783041641618,36.61799913938539,34.51252139481223,39.0233840416688,35.80376006662313,37.00265628461336,36.80213412144188,33.497920495817695,32.0137460249882,30.981127259618198,29.854649741458243,33.388747944415435,31.63350342505439,32.503337333396665,30.77200711056052,34.54872030263803,38.028136319996904,41.36019038242428,40.56302857162867,36.660497449340426,38.93253611576208,41.653152156145666,37.31222904112361,38.99711775566336,42.77834846343357,44.051475493031894,45.20489523844999,47.30992938629293,49.081462363957336],[41.8357207148325,39.138652827052276,39.3914668157397,33.51971569794281,33.300203398143026,36.74526335752625,35.90338119377875,40.105198377415945,39.47885227834786,37.18302596569113,40.02636568763487,43.74840375818099,39.45379559720093,37.17964870786898,41.088171590774884,41.665405704932205,37.02450104624267,38.404395175550704,35.607983673536175,37.84685074238011,37.78713363172536,39.582299648726824,38.069794356383554,34.71524615773079,34.39093757164779,32.850790843502324,33.55644966554275,33.69269491615157,37.91932818028903,41.11090334950167,44.545826975549865,46.3267819362514,50.35970370724491,51.25272847869878,47.99849976519878,43.9070177991394,44.7578347224501,40.40927274522992,37.85949663683451,41.50776746005304,35.567817150246455,37.580146651300744,40.48147808026195,37.21000461984701,34.382602316925656,32.16993024823643,33.12855841306719,36.80336493204304,35.91239148515371,37.375953337686305,41.40066619040547,41.692661956105034,44.90674627552749,42.42875279630601,48.66372945586249,48.50857965750166,45.53669561143423,48.766857644422835,51.98355065064025,49.25107587749703,46.43790714801059,49.336161904476064,49.65489206861704,48.293230694386494,45.01498996421831,43.98804510787974,41.16001725026354,41.70989695693233,38.43682361843062,40.040386559720545,37.63319256993494,39.35565050455745,42.52466056789494,42.76070766946365,44.85218258995895,50.01515403547259,47.810345112351136,52.329647100135745,50.497878802651414,49.567951863824845,49.632517905621775,47.39426154068709,48.31521532894579,46.56112518142369,42.17261851642179,43.50848863510263,43.70698877989178,47.75043823396445,45.57817580483982,51.2692238331407,48.76912569598868,51.70869693733067,50.35326606010844,50.62470784981634,47.00626912166711,48.668365773602154,45.308121532977424,48.30955213636096,47.38523532023642,51.37114628726939,49.03613790661673,49.449205777247194,47.46579307710578,46.56964883595427,46.080328828120116,42.76431466336166,45.397207703727865,42.56457431126781,40.529232851675495,42.683698774244604,39.46227325899051,37.33146615494431,36.53228520628028,32.99595225861679,33.29219280826565,29.533711950810954,30.72847366502011,26.836155073021686,30.199978334562083,33.4498634423774,31.036758134550098,31.663940429486775,27.438053349348234,29.327634018517983,31.669588298330513,29.97227167194301,34.2435500466115,33.73400369791771,35.48540638348488,38.03397595073712,34.96813560220642,38.883711350414856,36.65290931325725,40.04525025958459,34.15308485709795,32.45113156877637,29.183991959411774,26.61583162899852,24.486826278454437,27.502654877151517,22.93152533356029,25.18514316236247,28.22884405657065,28.98369670035123,32.109614496506566,34.987630883895015,33.13593458282346,36.35412933998166,37.93845364203003,38.95433403547857,42.34717397079219,44.36014591292191,48.966758127409435,51.35772892174554,50.764328330647466,49.15668787934161,45.39121977301489,45.215690322709214,43.069230389403614,41.417689287937115,36.71822896075807,37.89497994045389,32.411215559798414,36.2036341760717,33.180803457384606,27.872716538934018,30.595610463060932,28.432021447076597,27.748887976964745,25.741372284145907,28.855966222180204,29.210569427849574,34.00385434961507,37.41702203147608,40.26143826409332,43.84231588249908,43.49846149529261,48.20525039728721,44.54536929508201,45.70262799851313,41.06179487244796,40.99188836470791,41.36368384991223,41.021765350318574,37.89179302350646,39.06786476710113,38.10948356759093,38.865879027735296,33.477272434459174,36.09333220902696,35.314414186204814,36.04622333882236,35.30175206802331,34.87002984591117,35.756575717432874,35.816744492434346,33.06453535481921,36.767264255587996,36.76343655568699,38.882060263735326,42.32421661737297,44.29808169244645,40.941273488694726,40.66686020130249,45.17249312364889,44.56821150015962,40.06219491325108,44.08306231525259,48.806155910068206,45.119223701225486,44.99529505829036,48.92512434136015,49.14172070346139,46.08081540453941,48.37699994395894,45.623821329047395,50.57079914488445,44.7497482345392,45.81206080198529,49.95953363684731,51.23602492014637,55.75340885491217,54.92905902588424,55.743390618112194,53.15941398369691,54.604748535445026,52.303598785153554,53.15179889671426,52.15285167862906,47.134553497554045,47.82076237491495,48.08021668379653,44.752364525662074,42.63779290032237,42.90719221653803,41.34683893959941,39.01458663458836,36.71925980786312,39.03196300117006,41.838434668533736,45.15189249911687,48.10950658280164,50.55498605148815,55.07833653427236,52.582854848579636,48.55055203303192,52.9287975837481,54.55794253565639,49.98225366244436,50.04586081011393,54.39909915768323,54.066223764844146,50.95933961124273,54.76170604870362,57.11973633350278,54.345003248903474,53.90407590550895,56.85523366381284,53.935587019951726,54.9489418391782,52.51562026529997,53.81604112024321,53.80388615701667,48.72048735872682,48.86035596355994,49.61473387973379,47.56366835558467,43.73663309424178,46.8847030689691,46.20525079145383,41.79469112939116,40.56389492029226,43.72407764345537,42.66169423062076,39.512330833540666,37.74577121352707,38.431766017968485,36.437433340122205,41.10569294398383,38.192162036932324,39.69989831769609,39.7480951198885,36.19580651699991,34.73409964256474,33.41182833363109,32.48826459050145,36.1811989297122,34.83537587598367,35.84314513718656,34.333797777025794,37.9412147384571,41.56190390967083,44.83939990270737,44.26234633127892,40.26573280959139,42.33049351671382,45.16310636636835,40.958320282764376,42.34663613958174,46.21248300255784,47.600182793268665,48.842366382113624,50.937710040470925,52.67205432866999],[39.240133447720964,36.538863588207654,36.747741323544226,31.162908329623217,31.073391704071017,34.82103608061368,34.34319122664835,38.681477999475305,38.31474803394209,36.41336491911883,39.45647102910677,43.06944862666976,38.98290820587087,36.8862441623351,41.05829967196154,41.60939607071291,37.077677873136324,38.88386482791469,36.54570764425393,38.68850599718022,39.02555649367416,40.8847287452811,39.67167710068581,36.412425786322714,35.69896937279139,33.99730575793277,34.26995798212854,34.07595032406765,38.195852137171805,41.09082289012313,44.88877867553115,46.265765723369114,50.421277257313626,51.625890622244675,48.27691053646338,44.32514345000504,44.80856433539104,40.785619518364285,38.20433885802229,41.89017511236136,36.14508834941587,38.471675380899946,41.50365944943611,38.28589064692811,35.68476403136682,33.28174373587855,34.46818348074444,38.07581502473003,36.73015642735862,38.29435816727537,42.269774496220606,42.42363603387985,45.74827213237459,43.06667342657762,49.33698278284517,49.51244658152961,46.54675250426644,49.607368206834586,53.02269454664925,50.542467657578364,47.71256659301542,50.63829447071184,50.83716019224248,49.82733528740286,46.464099866263204,45.13507881615361,42.46063054022972,42.67735196767195,39.51074726160184,40.80692018407724,38.53445124485709,40.47329662285012,43.546440995608194,44.05766904004526,45.80647826609228,51.177820959015925,48.846719775310135,53.26296770716784,51.32241336333532,50.40029207630505,50.10420051684704,47.774671198387466,48.30500092794367,46.504328820321135,42.19051618452955,43.58148248659362,44.18445100390399,48.03217953408136,46.23333405949855,51.86344102920009,49.476049449977815,52.60033366960126,51.02043025496811,51.01964165158545,47.19802637121773,48.85913730604503,45.30574301619991,48.143637649741606,46.936358045618235,50.62560049513369,48.54636247777752,48.54075942030724,46.86965134213283,45.543810480918836,45.057035026141094,41.45842548536712,43.84823655290329,40.86936694575491,38.624600083225,40.980950743038456,37.651990958015034,35.934987719488355,35.236236437389145,31.957693066047177,32.704267002601476,29.08571489824375,30.77185141377728,27.13812135385664,31.08347037518905,33.954770727709516,31.426136824907402,31.644975338898178,27.17413934556781,28.651345941602262,30.587044418501495,28.676619602582917,32.46155625617368,32.127874577408775,33.74827173294907,36.5538515602736,33.114216804805295,37.06243283911978,35.136366061788806,38.72778205911668,32.837021003389026,31.222037837352925,27.488187212420982,25.41463045694724,23.585925295393828,26.923678907926842,22.960960108822555,25.80880960033428,28.759180657734337,29.05844050125825,32.2969470703557,34.996934463662214,32.880746886627335,35.83594517246157,37.08617708592362,37.93553027902416,41.04124608303391,43.119726259943164,47.639328324552054,49.991428624120836,49.71233326989645,48.16920077535858,44.54265092860405,44.17827094597253,42.39065350652778,40.41651651187557,35.94180870949516,37.60643882770534,32.12695003862625,36.121766674107434,32.954471911482216,27.617134255820353,29.969426383164752,27.90221264751986,26.679270757478005,24.780231365943862,27.777605344289732,28.41894600267156,33.356127081867875,36.8192364443738,39.776757947926164,43.217636696357445,43.08043507704153,47.76179892947096,44.24874291290175,45.18343546436212,40.58871608666579,40.04895545964298,40.453612392614026,40.21682900835734,37.20240272651149,38.91346385755053,38.27123168304603,39.14127769932472,33.93726136309856,36.15283799436395,35.107337324555,35.60562636226816,34.44518710142024,33.68845132948796,34.28986928877854,34.00001090263123,31.072496481130838,34.606302427126295,34.311377028817496,36.62031220412937,39.8033484556213,41.928408974670404,38.590464343448225,37.97370231334965,42.473733619472426,41.997407125415904,37.270155686482596,41.17852885082945,46.05868168273563,42.40393970094529,42.08521578476466,45.9911308129533,46.407534511548725,43.25519245147967,45.34679503999554,42.521766567325415,47.422496066305634,41.419606324248356,42.62381276842552,46.767159030610934,48.004633014057404,52.442383156799025,51.69588252922408,52.69692354279806,50.22649474318019,51.81581841984472,49.70771267644468,50.552535571396,49.33279840034469,44.36639252899606,45.2666552315316,45.3973684434604,41.91042267972238,39.97878690771724,40.42362463929756,38.55080678010554,36.1170658335799,34.247714617865455,36.377921059407605,39.59978827333251,42.83794364849374,45.661809115420205,48.326985046205955,52.7903656810115,50.51216851646648,46.31924232193466,50.49989965873172,52.32612484132072,47.77702813917385,47.566316625031725,51.93881579706864,51.68011923035197,48.42350482199598,52.08570886363099,54.51061866358714,51.7606927926455,51.10451164258065,53.99456281629386,51.01813533738067,52.09335217877115,49.79652800608987,51.001487309721796,50.80884444691484,45.798743915310794,46.006024931164525,46.555463772278905,44.45579738394582,40.75730309850455,43.821891413852555,42.93919973389447,38.583871404021025,37.48642001524314,40.506614402097966,39.27884751551503,36.147796364379836,34.423106816791,34.9160595069389,32.95413405248387,37.67322050693802,34.936867051315886,36.6013081701735,36.88324959177176,33.189080905200946,31.68127509928718,30.166549033220633,29.378732538876072,33.20044200359294,32.197229735197986,33.44240645728824,32.17996738470313,35.51667912299471,39.31133285849117,42.506201164653675,42.323538568539334,38.17433299714617,39.97342882705574,43.02701896238911,39.09181031613108,40.17595669172806,44.178073512553595,45.80017474894499,47.14508308381727,49.286940744061354,50.94859632596844],[39.447994318167915,36.97538452108649,37.51588784868742,32.057021606639935,32.73282493423838,36.199544868403294,36.083687758625054,40.54942456166181,39.943056606981855,38.27851268382351,41.2516468678109,44.97928405396819,41.2426091570307,38.84391354558728,43.189623111936626,44.006653456146566,39.617909904690876,41.54855696335021,39.32111148561803,41.76692971596644,42.14390586715052,44.262772118692084,42.96303381706262,39.7665471276574,39.13379955838565,37.18584910439251,37.545108327373406,37.09757713125888,41.096617070705854,43.88757097213659,47.42901960939194,48.92293705699963,52.99617893317695,54.37137417286632,51.177496234236386,47.28580659029025,47.84569994299607,44.05788703708911,41.63677059379788,45.590674695446616,39.8214040961366,41.96183413504971,45.14257783720704,42.044672288417026,39.46779103265324,37.17930198584709,38.41678987072665,41.97560173812759,40.669880441898286,42.35996441712414,46.32074056534106,46.41226637766057,49.694508430382356,46.89818520964653,53.1967744306525,53.36400862457928,50.27444817035151,53.25246641857445,56.72141050864421,54.27842971693701,51.26666245433886,54.00732279836986,54.03960494494506,53.01088958740805,49.77894127949039,48.39208276340485,45.391966010452705,45.47907460615033,42.02809572585691,43.10188508280094,40.68794820863436,42.39857334409375,45.71844840014823,46.49929494466252,48.384548927454446,53.88263959044042,51.83474018645178,56.23585887702686,54.48735957585939,53.77356913563395,53.50093340446737,51.359176775637934,51.7386505763464,50.12897727317074,45.818844827116685,47.000224344500616,47.58835846475109,51.280978946275454,49.37575945571218,54.84675101259808,52.26266364319301,55.22113127439893,53.48984346293317,53.43061423464205,49.50648548036107,50.91427812183867,47.26029946322621,50.406666383274086,49.149004084470974,52.77967734467266,51.10760579568193,51.1113765053773,49.75990399167753,48.37557404689663,48.204374259614596,44.399214218339445,46.77377963460628,43.83394512903656,41.30341544393503,43.62065954159232,40.021093545086885,38.56910435435017,37.55791896392769,34.529058011887905,35.15431570907334,31.646609607082812,33.485774229612645,30.013219825654748,33.862891530623116,36.534788757224334,33.7603620528626,33.84398227915917,29.362548265651032,30.778531670865,32.567027521147246,31.091441369513593,34.594966281604464,34.71193920286085,36.462740005335064,39.60240071310867,36.08453726847262,40.14805656500798,38.51305853413986,42.08995763682809,36.215842929416034,34.43004514853161,30.541328945556813,28.522596978791658,26.57865178828401,30.15050811496637,26.392138952883347,29.418073977732607,32.10244708677352,32.33652955403118,35.70889720769367,38.13513739199877,35.89503324848871,38.648748818813786,39.83723718059124,40.308997864216025,43.36885297547238,45.12762947904147,49.70005299570428,51.66936645970303,51.59908813086425,50.360298743320264,46.8518019154566,46.667362913036825,45.05804515620422,43.25621589907676,39.06389154917145,40.83150205531365,35.532108385681276,39.67965275020421,36.71595766549214,31.446285298242916,33.81552731436543,31.89698543550214,30.472364530956803,28.49651768085913,31.37552480179711,31.933392616590645,36.92296408249149,40.308089470107554,43.17288666930141,46.479936918390116,46.18161349937652,51.01372609230073,47.705689608137924,48.6573876248783,44.22304798622692,43.38906438917835,44.04962307822383,43.9645388152468,40.9553650722238,42.804090659069715,42.10637549856957,43.16341459176051,38.00110164475973,40.23421515865595,39.178072174577444,39.56947408047311,38.310610395730286,37.38776636045372,37.835413434161374,37.330309279006705,34.21494817106168,37.54381529088375,36.865589983464965,39.181585056336935,42.158435384419406,44.26480002931049,40.824039048990535,39.92744330399316,44.40166559311512,43.815700935050984,38.77765442766478,42.63274104865636,47.62422430971108,43.68536548618804,43.122025918783514,47.0306070820275,47.477894031949795,44.00089424434105,45.935278357796506,43.17783842730552,48.142893785436,42.05901292170807,43.64508893340045,47.804949549645464,49.21865491753324,53.45665956216302,53.00833511272152,54.346032505412786,52.11682445383612,53.955665549329005,52.07596899114445,53.00884949901358,51.49996659815083,46.562283602274086,47.785200368879565,47.8120918081949,44.100936564008734,42.412317882365244,43.114694283314506,40.85508278464509,38.269202194776035,36.971728668862234,38.75042795920043,42.404590984061684,45.58979066724964,48.16201656468028,51.019611354252106,55.35814893887695,53.21729887247797,48.893018795803606,52.796641591896254,54.70929338343802,50.110586134391106,49.62703004637787,53.904714484659294,53.5679860249821,50.13632199912849,53.75531226617821,56.099715105132326,53.161181195801866,52.40315359351514,55.34207794327932,52.40583163854729,53.74299962379452,51.711915606097925,52.93391400479337,52.37334732936777,47.39365265081108,47.91313196272588,48.17305207508325,45.8893707204697,42.50388846671283,45.57226815379161,44.24818609133217,39.92356667173375,39.24232781598673,42.03619783599345,40.38294923885286,37.24383351645611,35.38352571489695,35.47903287180773,33.271613177746396,38.032133376563316,35.403161068404074,37.53481088038116,37.823914665528235,33.80262308502913,32.61200022013648,31.00560409906095,30.699293570445924,34.83342011078807,34.04633585259452,35.748541611518725,34.45350488648121,37.15473617567965,41.23921545319371,44.21390796661148,44.243883483125096,39.95334212656447,41.31367099079588,44.38077690011072,40.66342716762256,41.12147444729168,45.18778055525352,46.9556499310944,48.49438229412253,50.597455939200074,52.22212072086113],[36.1596681629951,33.860795525943246,34.68625511312159,29.263368984711775,30.621216806332864,33.71139561370213,33.918641564438296,38.46820283934191,37.67689360745881,36.3286909357548,39.27131879711356,43.02929819415014,39.71484979620144,37.133454919279295,41.696723709740745,42.73980590656033,38.58701039113559,40.83346686531776,39.02663229452959,41.710189384934964,42.40767851324406,44.88447181759472,43.73793264835432,40.75671737860999,39.89107625811931,37.52258181677776,37.6994218556867,36.77254372639623,40.53148482709606,43.04820354548305,46.45884147637013,47.873436642367494,51.88401867513967,53.572981518572384,50.52277711475329,46.7978060761772,47.27720937847279,43.95698757368467,41.7625406095567,46.121561740676626,40.45508348211296,42.46575889902619,45.93303401631247,43.116047832442355,40.8035968139493,38.6447202824089,40.22185713754619,43.52187950692086,41.971370239517164,44.10724830716789,47.901696294046026,47.719898738663545,50.916833999358644,47.788622094572546,54.114550416306976,54.478733244339935,51.199174746430316,53.89938739586788,57.56207736420822,55.405816128771846,52.07879955730646,54.54652934427544,54.26595417365821,53.507523703907026,50.39781845004661,48.70184934418165,45.460259060715885,45.16435926143634,41.546331651596724,42.19534173234898,39.78038831766341,41.44846412252487,44.85659940984779,46.071141151521765,47.81162901214803,53.54342248493916,51.71571245391636,56.00106606504105,54.4178973153308,53.98416104287315,53.54519820371382,51.65682417844942,51.65478612852965,50.352778968184886,46.095111941417976,46.95273307724481,47.684893185284054,51.04929472597786,49.2124193651174,54.42362369495818,51.707716101452235,54.59676914054018,52.58844297811571,52.318353475151646,48.22258354817467,49.395827579971346,45.59093053805401,48.91357235911975,47.51482216508353,50.98274414063293,49.7976067878209,49.73052697912178,48.81252414669329,47.32173900861435,47.59765988793996,43.542491109469,45.95095005463344,43.16057767975425,40.28200653891046,42.439041537142074,38.53504963020504,37.35173482560338,35.978744358878124,33.28386950916062,33.85730026645944,30.564532243977524,32.71871340241603,29.609729560223666,33.62192295504662,35.81667699360713,32.79157565855539,32.54011901396165,28.03058213611189,29.209684352940855,30.72692927933938,29.70166591834815,32.87237636469274,33.498494778072946,35.44879622777772,38.99429331800403,35.56293414984751,39.82839711378376,38.598041830255234,41.98506832599394,36.172616724176756,34.05355291234977,30.105241890255908,28.06111674569291,26.00285483148112,29.86708672818448,26.644272264983364,30.123719748642635,32.33023053683238,32.2640676080385,35.810625056076375,37.77062497139542,35.3166955178145,37.72207203177743,38.76151847956572,38.77928153093841,41.74316725288324,43.15880873765663,47.75065874336437,49.34064195148876,49.49690459429022,48.56801172707116,45.226442182680984,45.209762224963356,43.86503934938882,42.2478320782062,38.4843199373231,40.45619779453019,35.47523580884585,39.86195772899978,37.267732801338504,32.19395883107436,34.61413873545421,33.16875379462487,31.395233379485177,29.11252472242277,31.7311766252358,32.05208496164317,37.07714255639384,40.29467698711878,42.991174441986274,46.053863136301445,45.562927463228206,50.56524312134054,47.61394774340023,48.56441962732118,44.449995483094405,43.115834350037936,44.26880123913913,44.525801741139475,41.494244449712774,43.610016981720925,42.8457142828773,44.39068811224399,39.47948772689484,41.67761739137053,40.682898722584596,40.68540467765412,39.35805590527178,38.12557802394307,38.40343677045023,37.75579725056776,34.269833841140105,37.31599596065654,36.17994230690097,38.25062982701146,41.16131404259739,43.03948968476101,39.43006310677239,38.463152590896286,42.89458941564264,42.012338584312666,36.80222492443632,40.70539701209285,45.647990120598884,41.3578736602717,40.704793057839105,44.62875521392316,44.93343787693222,41.229842166313254,43.19014087813971,40.58214542788074,45.65811850669103,39.80715947703029,41.58302746926393,45.76837084683415,47.55746582950384,51.689522572615374,51.58084143973013,53.04368871857468,51.02570643831704,53.09463769745473,51.28315893355395,52.54014745826606,50.87005218566909,45.75205512281962,47.318779416585514,47.57938238624053,43.60768381767168,41.98189226447797,43.1157423939414,40.756506263890316,37.8219658829283,36.88945945451364,38.05574044935079,41.97147547054081,45.178585978070174,47.36459766490019,50.306695246211376,54.45931218668209,52.335659943718355,47.93545811258793,51.55760880715073,53.409283787761,48.7225858590324,48.06615070891617,52.180812709981204,51.68386551267021,48.14979189205821,51.8300384552627,54.006173789410646,50.83893188081069,50.14392101221093,53.20130200326703,50.389890938180514,52.012770246017205,50.20519254098644,51.62614339425377,50.75124581169241,45.685493461742084,46.6315734713508,46.80530496105472,44.28511769121387,41.17682854726509,44.54844199247398,42.91429685362733,38.42177322600711,38.24571142381517,41.14789180081667,39.14223006618383,35.81898450374889,33.55396253747487,33.71724092698011,31.06587384067625,35.713221056605484,32.86285462053343,35.24372867292799,35.292287403471,31.1133319323661,30.288629016104398,28.870020949354654,28.94836329363254,33.30809440814915,32.394070944905906,34.534981479676574,33.023414717057705,35.06737937010545,39.37316012831462,42.11809177326388,42.236114778325586,37.861995525465055,38.85719969926948,41.85143210173897,38.31158228160199,38.2586091638303,42.33144912208695,44.19188196375651,45.886046708728756,47.9552583600759,49.55872091898673],[38.121524912067706,35.92843536029184,36.74017313183194,31.851402243798667,33.35082701750655,36.75183947563461,37.302315863496815,41.90405346891928,41.33390049315748,40.25480740104206,43.28357390876559,46.95310952858968,43.746224461778105,41.29081000025802,45.92646384837498,46.926779421091105,42.80425361956543,45.14212435721353,43.37684769217319,45.94907947093139,46.648166216206896,48.98641879089059,47.84948250700571,44.780779344097866,43.933601877152086,41.715542640845314,41.81795496271881,40.94476149775779,44.71797619863875,47.157476039789294,50.74977974943263,51.99113894235408,56.06084385629521,57.81945840940563,54.69733822857842,50.998799524104406,51.3181144331401,48.005633228028394,45.70259128648311,49.845218387105476,44.25397968141591,46.47772902418813,49.84110514393785,46.88309055325426,44.498531404250045,42.163565844247486,43.58398474580712,47.04887133756022,45.451757758126554,47.285448850214934,51.1837891826273,51.12945710898002,54.45052135117684,51.43300126527063,57.74861065664433,58.16007402237816,54.99226982014263,57.77112671212898,61.42059477731252,59.20436749490182,56.06074890381991,58.67515902020702,58.4906224599137,57.72058529883156,54.5363956676102,52.88739229105312,49.78123128391031,49.516345047011306,45.963509543252265,46.614058815889166,44.225891950501094,45.904007490425435,49.305813872759465,50.50489958591381,52.21370296778043,57.93690026471,56.021509029079326,60.3040093554469,58.62798849035586,58.083278163850245,57.54496514732352,55.48655198141706,55.43493815745262,53.94743477541854,49.7340617775435,50.791776256982175,51.683241339182295,55.07442257395226,53.39868767315485,58.660127469268325,56.0293908991613,58.98421941397189,56.96265157704901,56.63375048158323,52.49479199248621,53.678733733117475,49.819655699285256,53.04858025384666,51.52215584924185,54.80364766617976,53.71389353432836,53.364538651076174,52.55907521852142,50.77452618871842,50.862296124989676,46.69812095889395,48.81027183643366,45.81607168495715,42.90387837444043,45.33078684837346,41.469440627514444,40.63895153902713,39.47696781875452,36.943531088854996,37.832229349708875,34.60657282101569,36.90552922403106,33.8196653057008,37.95430937649151,40.15447379759557,37.15494087566043,36.811984918174986,32.24431362245849,33.23664437123158,34.50974408669682,33.25457975191695,35.99246753103357,36.644516615579846,38.34394152084215,41.91546180435302,38.07828389589236,42.175694205662005,41.06901312894841,44.74701268179347,38.992083763355346,37.18887706256153,32.89023491793475,31.388893932226342,29.663289760874164,33.54674047631839,30.469556363769158,33.96169638436094,36.36288347281116,36.21500497808335,39.711922837738946,41.76727380256479,39.262835195542195,41.60244264593822,42.44415444046895,42.456597536689806,45.173685892767494,46.687982198394316,51.16069123688998,52.73098961372666,53.133140332399215,52.230532103755166,48.98985754932605,48.79438594189109,47.66347754407127,45.75282152646725,42.040561362067216,44.25619163734353,39.1741173651818,43.52939781430308,40.63882169327809,35.47747969684781,37.533519767779836,35.819600985277575,33.87583962919559,31.988223403747895,34.61723240797275,35.330159406501565,40.37396447064741,43.689607612010754,46.538339986668205,49.58764604301117,49.338219578991996,54.21799266031672,51.22149033167506,51.99475776750741,47.76496364547982,46.32959976044915,47.20341327817385,47.31768013833893,44.44651751481261,46.799102765736905,46.31610993666713,47.57984499293135,42.62163603056072,44.54566674470172,43.28588841957062,43.42303785008246,41.77780004672233,40.4858031962177,40.5698298478896,39.60349019692864,36.26341873934284,39.19378395613007,37.93979632973697,40.39207325987214,42.88128233822095,45.08111697301271,41.63313039981058,40.169537417257004,44.52833209966667,43.98161938097129,38.53483530985401,42.14352079764139,47.31696161442405,43.20838559915015,42.218824968632894,46.041015950812884,46.71827933120582,42.8847873905835,44.41658286246351,41.69346224676363,46.59613648750376,40.323185568217056,42.41890396221942,46.525812976849636,48.044161424685356,51.949327048812556,51.875831447130096,53.71409334805206,51.84946600580335,54.03664508408795,52.57788351394291,53.56599874570795,51.59868346696964,46.816199763193325,48.51367562191129,48.31414170178238,44.308673819998376,43.05223799087744,44.129082095351514,41.26209143933909,38.50396392924337,38.159521050267614,39.42462408980522,43.775570134206674,46.78891696156548,48.98008831973556,52.17609495425255,56.299919364391435,54.50911746259828,49.97482218861878,53.39677377606038,55.554119911139715,50.99337836440013,50.0100686273986,54.16704889454013,53.83657392082647,50.14163477815382,53.53487580546045,55.846069246051975,52.790434100887474,51.727217651518586,54.615260992916994,51.69190573689467,53.320770978904804,51.6971286236608,52.82012181706911,51.742837923337355,46.9376187960137,47.804035909987974,47.57848700569563,45.10752802256881,42.2091958067545,45.13252184054044,43.19745327933134,39.048408254226096,38.91391175018228,41.280809423264806,39.06876070541698,36.01597856598128,34.119841987846755,33.57940457959352,31.21182424836448,35.96619953089167,33.71460982545305,36.44274503585134,36.98214040396383,32.585476290262314,31.7009872139209,29.83953660038647,30.17194136670342,34.61054680503745,34.39617941463241,36.68883237073342,35.633813089612104,37.437737891198005,41.86463770154273,44.5040144043957,45.10226611408289,40.62346550533517,41.294727354626616,44.53229528647723,41.3438128903833,40.91737352339322,45.10241664900715,47.20403488519531,48.99725583838489,51.07601568214478,52.57136409834354],[39.38282011146484,36.886311781926125,37.24356277231535,32.327102927531946,32.88434928140004,36.87206621998694,37.093666900773265,41.61120915152718,41.428028005176486,40.11062037583543,43.28342991861384,46.82227849335454,43.158020633648874,41.08907217745282,45.55514670287491,46.21213320094507,41.8712096410531,44.05250693384857,42.07831424214611,44.24928257526024,44.82645932123387,46.753001294303715,45.66555733781869,42.44240831002081,41.587853863435605,39.783224755646835,39.812893962450296,39.32814266567714,43.29996786913399,45.890812499926525,49.86983199411297,50.94588301330669,55.15707190047,56.686368550524904,53.326500517110695,49.52418981706962,49.71792019843758,46.04195915128457,43.468632903369524,47.13560240875807,41.58529482443297,44.12509090731513,47.21431697186529,44.00300697386874,41.49907026080707,38.9399615066733,40.14009807607547,43.790469214741734,42.196379535828,43.631003072685566,47.625947968062896,47.771257068967216,51.21281393375682,48.45811770348349,54.72162696079546,55.11258569994936,52.181908651961,55.150966037802206,58.6823028788699,56.323404563878356,53.53920756798109,56.48016369381896,56.59415005478257,55.761696794894085,52.37971307710484,50.894830797949325,48.23356809875045,48.21491303729782,45.005306524637305,45.99645368561191,43.745077067589904,45.67455797414232,48.82342514123218,49.63036061013835,51.236095097489915,56.774907241238324,54.47163734787878,58.80630133469501,56.846581180219474,55.962865465287386,55.401794950751054,53.00381222658277,53.186280060053264,51.33040438689095,47.12144357051293,48.57206208652271,49.51533760890151,53.1671623041321,51.650307871765435,57.17481742856265,54.81244757651087,57.989610964501296,56.19095314480328,55.95765746386046,51.93823989620494,53.45825341491717,49.70349422717124,52.54507922950044,51.05065061047086,54.38084582466887,52.7615315189563,52.29895737729797,51.08611148362986,49.25293734646774,48.80260448796981,44.852338097047735,46.842745655498,43.6527541024656,41.10430786222438,43.75979964066718,40.261059631814504,39.23414383197943,38.576082662644254,35.74911859023149,36.91922216043338,33.5302268223513,35.68454765000689,32.34890505360834,36.60994300547274,39.13632879954096,36.42923683228595,36.26436017778918,31.637721456505332,32.685283598908086,34.09254118654259,32.16761624327926,35.123278757082026,35.191045344614736,36.60033891414499,39.75494310731779,35.74958004398768,39.615898410777554,38.155941763086794,42.0627481011315,36.281814425381576,34.88659125238397,30.549047444528597,29.26426038833593,27.82767440301271,31.4593018404255,28.14271609303955,31.379193914941737,34.2297078696834,34.173091457749805,37.481369284641104,39.96778338350032,37.6062702660869,40.21561558473025,41.07407327173046,41.59245441813294,44.296613174175796,46.29636063793011,50.689619195029664,52.78106560177731,52.996112415805754,51.68780610811322,48.29963322837227,47.79181764664941,46.49061970867576,44.211437024231664,40.104751258937874,42.288039223617254,36.887695799470364,41.02414863362437,37.69266635822211,32.37984687102864,34.20569840213768,32.09104239035524,30.321202038208906,28.798169026286526,31.611555175761136,32.67215141906293,37.67677902393205,41.16708273354479,44.232232333620395,47.48276369140371,47.561334296107454,52.19542122630218,48.86568464397933,49.537080750552335,44.99898870237436,43.942080725721624,44.28657236657177,44.083293388019065,41.2934117161268,43.56287453027274,43.29646887121779,44.10222061900968,39.03276796299408,40.79368901192178,39.385745224276455,39.80032730584015,38.09603916354713,37.01519989126661,37.19329709419217,36.30866422203734,33.31825955029856,36.50425938177125,35.71719428325563,38.4428261090151,40.993414759785374,43.451627189646835,40.21043638141191,38.829130334161334,43.23905695813922,43.05031739248115,37.83754317980565,41.403027000930365,46.61619424310895,42.97542780077784,42.137628973093,45.946409321674786,46.79540904010655,43.3114070725775,44.85624106835075,41.9321282451109,46.70036516763522,40.20506871822147,41.95433047990141,46.03876107424579,47.12350833752969,51.22400220858076,50.70587034606397,52.30126176169846,50.15426382075738,52.05693430692641,50.48058184185037,51.14654958656554,49.39713028226371,44.76604814120866,46.07556993105242,45.689040959321616,41.96637235004837,40.59232519260709,41.234057089435844,38.54001721614869,36.118959658503,35.3310743780019,37.22345324487337,41.282829580955735,44.271377782381606,46.86956816756707,49.969951296399266,54.29233432355302,52.49486093662637,48.03983310900676,51.775589526161106,54.008458199050295,49.56172290945501,48.774021125347076,53.1309126348084,53.00730993883798,49.44292896060484,52.762511823233005,55.289192622731164,52.54449267250611,51.41176996422659,54.15312952317375,51.076490189447576,52.33193566274878,50.41192646500151,51.32467464845918,50.66358475378349,45.931872101743345,46.28302549987506,46.22589100304242,44.04178779461472,40.76718300266071,43.40786640309089,41.92149772206586,37.9029850742811,37.14735550379343,39.51001217218179,37.78839806649261,34.88951229576194,33.42276106822209,33.009683279781164,31.171997344890162,36.03628921145714,33.94430891794546,36.235654126688544,37.05476188467332,32.92210815206404,31.51811752053523,29.478522633964484,29.254502973265925,33.38702975954233,33.28909394713444,35.061708064501204,34.30325084248159,36.89347410275987,41.042840471418195,43.96933124850283,44.52234273717764,40.13208433925216,41.26085674681019,44.63895079717369,41.271723281989956,41.52322647239309,45.72642035485944,47.75434042120093,49.343489653537866,51.49473369655971,53.00874043450462],[34.13767456785935,31.51673988950389,31.78961049103958,26.693029671613,27.145848100985898,31.11655069730106,31.33901815145746,35.86591277083064,35.78143023632209,34.61310179040072,37.87833018725071,41.315299480729905,37.76846294212364,35.85200141036629,40.43066650950148,41.052719591148886,36.84305998273207,39.34123077186757,37.830671222572406,39.95270886665397,40.94636150193867,43.059714177216435,42.300610051212125,39.303862233397204,38.013362212263665,35.90851845447503,35.551268256203635,34.68518873696896,38.480154725053126,40.80911889039069,44.97340510121428,45.76797484930093,50.01885112408181,51.783164215102545,48.41231232788943,44.76361826234837,44.7263281405068,41.41884357710617,38.956827220049604,42.87920007806965,37.505440155083186,40.10969417207501,43.43167465830431,40.47404771850773,38.32716592163657,35.80980319524898,37.44921914778902,40.77888465353877,38.766457360759055,40.700999900761936,44.473056897425806,44.29410322397992,47.672022735254544,44.5688086928546,50.84588364978394,51.536471890992594,48.48363819433337,51.157498946729135,54.90642956022896,52.91109899408291,49.90138535859543,52.68844128788425,52.56809920057109,52.14360518894489,48.76656763420634,46.911235088778845,44.318975525495645,43.919144255503646,40.835166406746396,41.51389549055376,39.442027497626505,41.61530754240307,44.573755407798906,45.64320983193684,46.86993503504513,52.58541463057033,50.22561325278105,54.42103467053274,52.444410788715764,51.69154326083772,50.853040465311985,48.57041033299916,48.38348051794827,46.717770532931276,42.5698507169437,43.8294450721464,45.01979442590144,48.402811731869356,47.130142108337736,52.500642602649755,50.204506207100266,53.50733015595324,51.50891555051886,51.04891921189382,46.90547415877576,48.436109316195605,44.584635859841065,47.26403999099035,45.616326440235895,48.7931655263487,47.325036458016804,46.719646035725255,45.71401710218457,43.76544119212524,43.5393766795682,39.44806755941033,41.507876550474755,38.4419704600709,35.716872393581866,38.24148843801489,34.6164763646464,33.65213894784947,32.903219167743366,30.216377202479674,31.543874079722457,28.29916796194804,30.767793415122984,27.744900654050642,32.41567581421116,34.51477979352473,31.757111177283644,31.26887391861086,26.55827186315079,27.31158836389001,28.4955335057715,26.55371223006249,29.389181287855415,29.600780594747963,31.129624678952396,34.50313752206934,30.638167378828033,34.71251105427829,33.48403151330409,37.179809154729384,31.41006435523765,29.735364876594062,25.385076209387474,24.043853460173725,22.62075068569553,26.465433712579,23.721695858461928,27.46976192237546,29.959227543592686,29.514268329223473,32.92894052953419,35.09311712929364,32.54943484413012,34.91697858676701,35.61694922303994,35.982029694424654,38.60580657248457,40.5777985995641,44.95085933481133,47.0422950403057,47.314296482078284,46.02673223236484,42.70542333515849,42.174826515030645,41.0324448321482,38.74403427947273,34.87064517250308,37.273337015658214,32.070088102411745,36.397577580158504,33.32347591227306,28.187924379442492,30.046998642610337,28.465959014879743,26.351354656643345,24.446884222570166,27.02995486996813,27.88541925790694,32.93225122398734,36.30402145056922,39.27093977880102,42.34986995252082,42.37650477861784,47.07792742380853,43.99062584237253,44.628035120136026,40.3309442958658,38.883608517685914,39.62502491737654,39.73998211228643,36.90065042418641,39.43267603097744,39.15299193131417,40.45009279485355,35.69946585070542,37.375160488488746,36.06075096307548,36.011008979067284,34.2985465282589,32.931110058554246,33.03129572986862,32.176241324409226,28.803962035595845,31.8687821272423,30.867217867397812,33.2773368472104,36.034367454420824,38.22490566324247,34.83007799419321,33.682000353195264,38.1369396575311,37.67275115279971,32.54083187218614,36.307384878087525,41.37757416844016,37.582864895447294,36.93673168766543,40.81545602386339,41.439540541948794,38.04554183278231,39.85897866697645,37.00648845441879,41.904369311962455,35.76564942769993,37.274253406138314,41.43136029191251,42.833634956223506,47.10882018954568,46.6658698725708,47.99201605433597,45.80364920509512,47.72731503573043,45.92663218055285,46.96656286841301,45.35096239766308,40.35275032652841,41.761267139172304,41.86754955777758,38.00497537878516,36.37432171669362,37.34287291055092,34.98328499802232,32.183675107421955,31.172488769741207,32.62637518753893,36.580173060543785,39.708668825469736,42.093972162153406,45.100933875517946,49.35477431944693,47.389110387451275,42.949263116465154,46.67705386871019,48.73227263495111,44.18326305939198,43.493163422542814,47.78969542051396,47.544585686476495,44.03004419003362,47.525313171832444,49.94708973062071,47.1124393741441,46.19009113940338,49.05836296029886,46.073414364683394,47.39518901646995,45.41827714146371,46.607703599141914,45.9827746248521,41.02663910597535,41.58016094214731,41.7939029750357,39.485332899169784,36.13474751400895,39.26863287231916,37.91404566851077,33.52767283294036,32.935326467726,35.82939963532741,34.149658882733675,30.919495662799072,29.001985083695274,29.269630287276332,27.086404793189903,31.83284357048429,29.21920001345844,31.247053121681184,31.74572347340494,27.76261380809869,26.37733779731178,24.67115909661086,24.314658764970428,28.464394159573335,27.899471753685884,29.749714329301685,28.731320968854885,31.271160941242236,35.420934807185624,38.355340739947394,38.78321740488369,34.39914021781054,35.610198040875844,38.931032588076754,35.50046531747218,35.88424645654071,40.06410448594821,42.05675804509662,43.61359011094927,45.791391409166096,47.335180500718565],[33.75275159394032,31.458176081965778,32.09598232397715,27.48915159575087,28.90191949199699,32.608670319191496,33.423555603578855,38.04851317943353,37.839112530507805,37.12873309076789,40.34693134045507,43.79738779044229,40.75257570193283,38.639218302940925,43.42279978614989,44.28844539014016,40.3175997317603,43.045321534047545,41.79250053983703,44.14070916137009,45.270668716964956,47.6123714479803,46.85459858621125,43.938251821673894,42.63843467382207,40.304172102652196,39.91747077087315,38.745635696766,42.348366045425585,44.44779477592536,48.451575409031605,49.199262192668435,53.37609399359723,55.41009843878998,52.17938570660236,48.668428312703526,48.57379760496607,45.62644259105495,43.320987943080056,47.44935869599673,42.155645005019664,44.66806924756103,48.12973819541906,45.295693179143,43.22424050534611,40.76025266084561,42.46781881902881,45.74533161432826,43.672225004983304,45.700550915686655,49.44129122971323,49.18551965528259,52.54817189930351,49.31122648131616,55.59078556475204,56.36841862083511,53.22060366441318,55.766723729685445,59.60820276904681,57.72141518110057,54.56682475913828,57.19374175884693,56.89052969694472,56.55383710379989,53.27954931142116,51.2984787671615,48.474842210895275,47.86235524826454,44.573359099227815,44.939816816668305,42.799953381546565,44.804294953500516,47.939270649652975,49.34245784109951,50.57901393036971,56.44582809956082,54.31999374843108,58.445116013446814,56.619628295991355,56.06160722742257,55.12926698710858,52.99813873223595,52.54060946696999,51.043248097563556,46.96289548976761,48.04429170157798,49.346035104009836,52.496037508890026,51.262584686955236,56.42843394863818,54.00218338105185,57.19141795832889,54.981457634497865,54.366757071869564,50.0822098158921,51.34708665326935,47.35801061586908,50.24889415883737,48.45033237276608,51.397990957885135,50.470637151139805,49.69831897682032,49.15699684079973,46.98967241181793,47.07337859717657,42.71918403187537,44.611114511221786,41.56397075098097,38.50426672801595,41.04238245830079,37.16020302325243,36.69449563342572,35.69142510159667,33.43962320358078,34.79440855591173,31.788092740867963,34.50755358946061,31.764178931411113,36.42597894684442,38.20983147520668,35.23150457455897,34.488382783318954,29.799154365951814,30.319013194725105,31.146921492597475,29.622536908738038,31.839234932656503,32.60162338979891,34.15352437387817,37.893896130344075,33.86693254140334,37.959834547449475,37.17699079117748,40.88121549856903,35.25099259745209,33.50504852959462,28.947190202546498,27.914905180017264,26.545574966435975,30.577630383442283,28.233727627634348,32.178151979687975,34.402944631365436,33.794439698432626,37.30175988530886,39.138949408864384,36.43705049043051,38.476935442940544,38.97150267626058,38.880550641601,41.27462718035577,42.91040251369148,47.228771308039015,48.86601999041999,49.514313007032555,48.590869145072396,45.5000797027725,45.07456712733066,44.28504584414317,42.06507810250763,38.62624263246844,41.26525978886368,36.309566812532594,40.76707723029192,37.859132344047914,32.85183079242956,34.569390673708746,33.14313891571654,30.750455931015054,28.897267130734424,31.271007695931672,32.140983670782994,37.171875676021266,40.435600078857526,43.317667091352924,46.17768921394971,46.134732952408136,50.91376230232634,48.10496761429727,48.664339436395494,44.57790086046665,42.70237347759129,43.67144048519041,43.95249799402968,41.20803421507057,44.01276722724267,43.79724937960589,45.25585726399707,40.61833293954549,42.17285739371163,40.76750933606054,40.57639681793311,38.65062766388768,37.048563767764676,36.888696007058854,35.68942697379531,32.16550082638241,34.854664312326605,33.333496703327086,35.80337938809018,38.12181378533662,40.342545131729565,36.92403688885005,35.28416280773227,39.61149174996998,39.119407317869374,33.60287609770492,37.14835819658389,42.36365803345224,38.330859654446805,37.27804060889555,41.08297856502928,41.87013591365073,38.0828625014066,39.538532451840965,36.75365398539792,41.62981800486425,35.33465853655806,37.38809251749774,41.50216500598772,43.05661215170925,46.99565362559122,46.94980781551359,48.771099408386235,46.94846878626415,49.20764185093847,47.79867590953975,48.900338545852094,46.86083003917073,42.016616326543,43.86959488981593,43.76721755835117,39.64187018780244,38.42777530524933,39.73472661805912,36.815647890719085,33.8716498920098,33.767741049234466,34.721236808286854,39.27912199405477,42.24382010372662,44.257140534622025,47.54565804813691,51.582396760461535,49.909190967873414,45.30848414233641,48.57763755643834,50.81502488663989,46.29304086769787,45.160498760516404,49.30787588832852,49.0269879294028,45.27657376539291,48.589251585673686,50.93773898636582,47.941923697950514,46.776258991184676,49.62655749983409,46.681495569025216,48.319657163464235,46.74778946707281,47.873670192196315,46.733561395437576,41.93218414483075,42.86394763395386,42.61062274873812,40.098471759675824,37.252438843342794,40.26259850203992,38.28371994738214,34.06201804790908,34.05312625549452,36.5143081790437,34.2471569304767,31.095365020649318,29.098560660752813,28.695196032168866,26.270043345096546,31.027598995857776,28.748507551961495,31.43778778144903,32.10662208500896,27.712440480353127,26.730056200438987,24.807312258983124,25.174850429169837,29.6477056291076,29.58756090848306,32.02716164407647,31.152061971911447,32.75262466454437,37.229692465107256,39.81176467597983,40.69304085649693,36.160010879192974,36.692029206547915,40.09852542666047,37.13455908985206,36.62320200336044,40.88440844014853,43.146562518953445,44.95433048586996,47.08330006388769,48.5227413172004],[36.15915956609154,33.73133207149418,33.98642556031518,29.825560663126808,30.58638847545847,34.933857067235095,35.74177729390918,40.30480187987353,40.54655230302084,39.856071442497885,43.22432169957536,46.50101983305634,43.21629634666083,41.48026869181251,46.17834903236101,46.76492247387032,42.67704538436406,45.36029444847061,44.01057850145173,45.99404040929997,47.05920318010359,49.0214364813022,48.32783699879658,45.26401652966522,43.9487773168521,41.99621776300556,41.48750434975232,40.61120141292485,44.34323350515819,46.47604896346167,50.8826644481227,51.373100794589625,55.68610050115975,57.614030437187324,54.16670052171632,50.617856434147456,50.30358553434952,47.13353130293583,44.57144428258078,48.19930702841607,43.028231292284836,45.915745811111975,49.1130571045216,46.02539513449219,43.855210947588155,41.11852826751085,42.58433470320042,46.070926977234194,43.93597933481441,45.48347233906856,49.33547585076477,49.290515981332376,52.81911570887126,49.83425028596264,56.04893863871305,56.875039605024774,53.979747338819024,56.68671596553326,60.444099517858305,58.44529430482492,55.672116397481105,58.62239816663991,58.585408097893115,58.22299795258235,54.761407134937,52.909681163213484,50.50226167208091,50.06627085075743,47.07163255548054,47.6656803476706,45.64608975347138,47.836215713133306,50.784436142492574,51.912641451105266,53.03821380445388,58.770536847070474,56.30886422006293,60.45423200622851,58.361322597984,57.489851982803955,56.44923672523797,53.95911041158213,53.6052311179954,51.716272284029614,47.69506037607878,49.194721929924185,50.66658966134722,53.99607594884035,53.013924966687064,58.38389796573995,56.21860014929704,59.61465888909908,57.54650855004109,56.948739367934,52.721837505705984,54.232801675225446,50.28559032444357,52.818891751000045,50.95078095503482,53.78180266405881,52.547010251551505,51.47477400199676,50.733512896131955,48.306325330055316,47.858709474402694,43.58743392581606,45.142783263219734,41.806295536071374,39.0005283178283,41.907161979765085,38.353973010773515,38.024349523982934,37.56026351751591,35.233967792958516,37.01449071713065,33.9608916797607,36.669365120413026,33.789029816507025,38.61405582283721,40.61040854157266,37.85993087696361,37.17986712104148,32.4328831515365,32.86466157147589,33.61538687989779,31.450570914969695,33.479260117114265,33.82006714012777,34.94599011883657,38.37908673606303,33.92968898217862,37.68983281453024,36.77584752159264,40.85445639474202,35.29392543024006,34.101595340577404,29.274888510291415,28.84845481534321,27.955049364459228,31.787635129510853,29.433943692713573,33.20941066685363,35.84778701606964,35.22828367394282,38.55196576342819,40.737013814265495,38.10535913110336,40.268869033747485,40.619126505992625,40.889689309356854,43.07198850192919,45.13271191133734,49.27970869474796,51.28361382094367,51.97540311549981,50.775746395974934,47.666959667471446,46.87831053681362,46.13571916421568,43.43375767520252,39.77851756568993,42.578298770768114,37.35835640638894,41.62198492746728,38.20496841929954,33.07634545316013,34.31955311427467,32.45155168403136,30.020633810958422,28.750869676176535,31.21685253318794,32.632270305025195,37.611376679012686,41.04912050709635,44.18510486282752,47.155610941262786,47.534988069133206,52.026897386631106,48.968492521823016,49.308735222986776,44.943908539351035,43.241811934952366,43.62167911640608,43.5796521636272,41.03950836564875,43.98897780674652,44.15412097261599,45.10011073627265,40.40512411601826,41.599489453968744,39.88428345147674,39.95414082717674,37.72308871496781,36.20128042047109,35.93085245421192,34.516118908434755,31.37326997058949,34.1190263012217,32.8437994166097,35.81543744122012,37.81515676916742,40.480735507415275,37.372691753909606,35.40219077235804,39.68011842676015,39.7398874539388,34.261527560346124,37.503523146985984,42.90155363702541,39.41042072487161,38.22002632322557,41.9035684278297,43.116581134995165,39.53781645253138,40.65389376265375,37.638075428528275,42.22921987008972,35.45535498605207,37.47227462648702,41.480100996353,42.463009677137954,46.360830578689075,45.99472527627191,47.926036842272715,46.016610734042516,48.1524285655876,46.94695102024058,47.59246905371092,45.47404686100905,41.02906503521093,42.699308483777706,42.08419144921623,38.14494696013641,37.156342825710254,38.101634463746755,34.88820896521185,32.34573234098183,32.42341857239415,33.90827822114297,38.593812062077184,41.365714906488996,43.670024857621414,47.084354677528275,51.227971447437916,49.82559010287612,45.19273854291378,48.518079128805,51.049262637328724,46.733268693914006,45.490842177019594,49.80504238022596,49.8157173877158,46.05710307452443,49.06795453171431,51.67966195174346,49.027590582374586,47.52337930221623,50.11075143877038,46.9698221977422,48.314859744688775,46.66930507242137,47.39003393493928,46.410343185648685,41.897763374011646,42.36169764447978,41.91320292355061,39.67597054950846,36.72207372234336,39.13106996677547,37.26027104410583,33.446277652798116,32.982578268637205,34.98431124903839,32.937120031059486,30.150060898904677,28.833910821152696,27.942644226450323,26.23685210473084,31.1259215348042,29.503210819230237,32.08043438930049,33.36569315029295,29.075868789825705,27.630353088113186,25.22058499277967,25.334070924247666,29.570944075779455,30.185181032574917,32.32247382259821,32.052586872710066,34.051260239512985,38.36602908730462,41.06638115883259,42.281934130735024,37.770490145408345,38.4023239200281,42.076068921701044,39.26395592865005,39.002170077092345,43.32555435965186,45.69366749759267,47.40793898120367,49.585392015438,50.94982077362015],[34.666682749225565,32.02600492906577,32.00507182224749,27.717581345934974,27.899649462213606,32.51290577835656,33.11196203916934,37.60764694033763,38.0662406063942,37.29120901687149,40.74009105050776,43.904333995548384,40.438856230355476,38.95666906878592,43.57837256474329,43.98120768986706,39.8543754036026,42.55966362035994,41.2919362358487,43.05479299839045,44.217084006849866,46.052129416340684,45.5141311754985,42.488364387422976,41.002221597879995,39.13657997645082,38.44500454390251,37.61310778385098,41.351245636254056,43.45286099649517,48.08883122280189,48.40357525236647,52.782101370438596,54.672125229106896,51.12126075611179,47.59043508508282,47.13824210344899,43.94231650676959,41.30713588651368,44.80012612827114,39.73581946869949,42.78096225335136,45.92911525846236,42.84054453723683,40.77237870282108,37.967078839980886,39.50658446644282,42.92617578384982,40.632644322071194,42.20297047247873,45.99372941829222,45.90441402656066,49.44881392680723,46.45225989750159,52.63379930392,53.56174741253631,50.73314581751577,53.40398202521292,57.18050218498267,55.26550002390364,52.569316376115,55.59499058713189,55.60366156038302,55.37001364319286,51.83385907171418,49.92100505426503,47.75594921037973,47.29295377250328,44.52391575702757,45.16156718999868,43.28571291354933,45.67287732793294,48.41293730408373,49.44637104487894,50.3775829232062,56.06503733079961,53.411409011501526,57.51581089681234,55.2932694160417,54.3189282254936,53.171215925716155,50.57907156718382,50.20162334932514,48.222513395411404,44.23300733771254,45.83559860312471,47.414385530654464,50.755687696834805,49.93634395550671,55.354499538219876,53.34492987622674,56.87844810032184,54.852470600296144,54.22479220169551,50.030387942673364,51.70358820171164,47.79403328266483,50.07387218131932,48.18385713243171,50.992947281730025,49.541305548130445,48.388613728768846,47.50956089850723,45.0456118945005,44.426018792457064,40.22439717671078,41.770941924816874,38.398719287656384,35.71911818810428,38.67040839326865,35.260582926305766,34.82357062225047,34.57809898140965,32.15539596099148,34.11816902843769,31.060212163482337,33.79093550327253,30.937437745538595,35.935799937905706,37.90981565329917,35.306175716449815,34.60088985780261,29.843328456336966,30.18946629715708,30.926037323395807,28.426236389393328,30.532717112120416,30.610888796308963,31.63993377516135,34.93272230313907,30.47692363939851,34.21741382279887,33.19808207344863,37.293205910799266,31.718367338321514,30.61536051244086,25.78046022902442,25.449107722037034,24.732054268306374,28.48516364138759,26.275949968740306,30.0967910353052,32.78299148166791,32.056936885825486,35.30585598005256,37.56185303845162,34.94802596017009,37.14408472132341,37.45062856901101,37.92376198532714,40.0809747987726,42.367678771808094,46.467409949827136,48.73639488123842,49.32211776603688,47.92402840438012,44.764166416767424,43.82583061758658,43.03989414429727,40.17551593559301,36.415493343127004,39.26292685902146,33.98844044491201,38.20088354123432,34.69001169662741,29.58345933144973,30.721517505762687,28.889065438961158,26.398820313219417,25.15662225840601,27.61072568387288,29.11343652772502,34.07187796558765,37.538128790157934,40.72875266788519,43.728397860208666,44.23482313402489,48.62866062999585,45.50643480609382,45.79544936932021,41.3850493402403,39.72944834792946,40.01701863745364,39.95276234984289,37.42321546325191,40.42146774955156,40.673022141905896,41.60779885642671,37.00598182636096,38.09339286187015,36.36104604037215,36.364949829147285,34.118035841316605,32.584508929640414,32.34125256080785,31.002324046784693,27.861869431865962,30.720102816328644,29.621491650612356,32.58503264080171,34.757859431372225,37.42237800006459,34.34194855522309,32.56846279473364,36.91181934677956,37.01163618899467,31.722618623262573,35.065782989121644,40.3988210381411,37.07305860018948,36.090795643645315,39.80969250273409,40.967677039718225,37.63357390136472,38.929059464994566,35.855454842293526,40.45295915846219,33.77467070511214,35.44959678438007,39.49134895213714,40.41519957713918,44.53375241533937,43.952897989261125,45.58073289991899,43.471637759646256,45.447401753906796,44.02738214995073,44.696006180526716,42.792816187297184,38.210555193442396,39.69519024964238,39.25144616909162,35.397981010559135,34.174870324282374,35.02905600668038,32.11309666970457,29.55669663146631,29.205791806849934,30.855248938224477,35.30113391304937,38.151521445775764,40.59689315724723,43.89512088638838,48.1291171967306,46.60731145488808,42.03294576145573,45.55714916823153,48.017196181026115,43.69976938111964,42.64491489555428,47.03967608843,47.08785588969715,43.44048679322122,46.52594533184639,49.19047250810284,46.64967631243462,45.24877977812957,47.836572098014244,44.667021985095225,45.838802028862055,43.98000701813237,44.746747697015586,44.03768898735324,39.425306252619116,39.702640909932434,39.52073588539818,37.377558477431535,34.142024315884015,36.677567290687875,35.157773446776304,31.19511810616442,30.43656685814488,32.76019909007205,31.039971761782333,28.143342521492286,26.819375060743166,26.41303247204848,24.815446055733222,29.69473065750217,27.84737633721711,30.015744616187394,31.256753930000144,27.21320926200147,25.489260818505173,23.17377719534275,22.865132817629952,26.932551168489706,27.34166771521292,29.203380449474995,28.95520978499827,31.39094730313125,35.53567656898067,38.405151302242345,39.48806860374164,35.04707021060089,35.9935448927939,39.68130566341281,36.71711912515587,36.908012121422296,41.20291634022165,43.481939105013424,45.061747951797045,47.27957437295364,48.675767237283594],[30.13535993732234,27.643773119069323,27.862573790030698,23.809820275435776,24.75096765014636,29.08844260217492,30.18444827808782,34.75512514524351,35.164815915795494,34.88460718089203,38.339514043300596,41.42854389555243,38.49108343162507,36.95552802263735,41.80050550398927,42.38846245614262,38.5890127801331,41.69738225960634,40.99152950877598,42.9232943005544,44.49052802804851,46.67482689658813,46.36302281150826,43.59926624721224,41.816434169796636,39.52223162527916,38.553123125214626,37.17126343347426,40.579952503437525,42.28529471371045,46.86577709609823,46.957528111497695,51.27429531598023,53.55364951001104,50.14390660940056,46.856865671230075,46.2176330582587,43.62714762971849,41.25279959345679,45.14756769208429,40.29262907522616,43.226691567945785,46.669085461253275,43.9200692611903,42.19162520279606,39.531463234458684,41.45976348740988,44.55076283109204,41.950910203882785,44.02656859423169,47.58617261718672,47.16827066662056,50.60187916455242,47.2266200175893,53.39591657624511,54.58770414517508,51.56795774382446,53.892763052399765,57.89085679052486,56.34299031661447,53.32695221654989,56.05687652156614,55.72037949469718,55.848722114327614,52.4385357310818,50.15758281472415,47.821787055367935,46.90225359827934,44.05401355879743,44.19682819988412,42.40506758101784,44.81041204133534,47.54247972728262,49.041529762292974,49.71009641059225,55.629222955089226,53.16597935838193,57.0948421495648,55.02051846910779,54.3397366171035,52.93915144021502,50.617361429638784,49.74290510064527,48.109953360387316,44.233084929460844,45.47743112683546,47.29038079007047,50.20865666921567,49.5690358045927,54.664371509982324,52.58043711368301,56.079862742685805,53.73840397604191,52.82448200962141,48.44115003765738,49.88749880426995,45.81318625920867,48.153189932298645,46.04105788199925,48.552381081995826,47.679212099712394,46.3212867213071,45.99870592375426,43.31339151869562,43.19516808349269,38.676809620833176,40.18359134636324,36.98555271425425,33.85696577455009,36.65079422362115,32.893362040637044,32.91207362831414,32.32851436679269,30.406066191286683,32.463589798363884,29.749864926253668,32.89579879768769,30.55105894659634,35.76518933168825,37.13754813893567,34.33045268463846,33.1801981467967,28.436758692643387,28.357289043905478,28.61191121352628,26.51173831825762,27.984776166100286,28.696597260676754,29.88950880614201,33.69208545681202,29.314047947031455,33.26637025306346,32.837549250539126,36.668765123362576,31.257474789021934,29.793711891300013,24.87337183538477,24.680759466555195,23.975310502151256,28.011320507592913,26.59870543026651,30.906461250371347,33.02442257455341,31.893937680090747,35.28375931227738,36.96927660110797,34.105679148299195,35.81670314975618,35.84573455171207,35.78537357413026,37.70059240249002,39.64596816802848,43.691082392474655,45.562703154711635,46.4861608001123,45.421087453560624,42.50948770959933,41.67781876096356,41.298046925849725,38.552325901929315,35.38184599044377,38.54512605640801,33.705742291951864,38.154044545239465,35.090993734734035,30.311704687291417,31.438100580041688,30.251609811527263,27.340388424474643,25.751191074133466,27.786797227451164,29.019815395309152,33.942551204669556,37.16753219371075,40.149826230683196,42.80792126738153,43.15659837884146,47.68182676071853,45.016595249889974,45.25172301052826,41.26580590670234,38.95094970349845,39.82684526882297,40.19837019812198,37.69094694875109,41.04409234677495,41.26220444235888,42.767586460465374,38.53543269686417,39.53536086407813,37.88966087030217,37.38945329844245,35.062599824606245,33.12788008424295,32.63954245451551,31.101670300606635,27.488958089236704,29.881580855414587,28.119101526190217,30.770221601386442,32.78708964170423,35.179151930089695,31.909913341784208,29.961916247525057,34.24502622591013,34.01452943015145,28.453422495128798,31.830911441569697,37.15387136245198,33.43031938454437,32.286057807206596,36.03324266047526,37.092895763364695,33.48512424499923,34.757398724348874,31.80605747351659,36.551552521171786,30.078138179342325,32.0050896409181,36.10471472474068,37.50890015419629,41.51909787213302,41.36908213765654,43.153593233288305,41.320833458035374,43.60527371884592,42.28641478134528,43.38938971358741,41.270797321926004,36.44968157575855,38.41192043493947,38.299525061075606,34.09473580799783,32.96882002265694,34.4429947949722,31.418688931862967,28.356615748358404,28.56331961746631,29.297269207455074,34.12171784502746,36.970487005857485,38.87459050618512,42.29763359924654,46.273467678428695,44.811650593243215,40.133122124365315,43.26291533868846,45.68021848240994,41.274726942975555,39.95377509295993,44.15671184238208,44.03807255120648,40.23784422074824,43.364417145184696,45.853854381409455,43.06439368048665,41.678937962726465,44.397030278142935,41.35437246655102,42.87958881524975,41.31073723597971,42.317547102431064,41.19540765885639,36.47067434788711,37.302179467184864,36.99486544473463,34.5318554487916,31.665427874120915,34.61895878235263,32.67489609928275,28.456689117423927,28.416900979670356,30.913661020330306,28.69798933213236,25.5055310311171,23.592461999081358,23.304133683070532,21.066277126868076,25.876370398534107,23.747905882080108,26.267875348123876,27.321564208756797,23.026678349664365,21.68533439333622,19.508180631369886,19.758896205218385,24.179075818200857,24.534130947194576,27.019445341159066,26.59892287324808,28.13364280262272,32.5746121953582,35.14618339808856,36.46715434947336,31.907752170215474,32.34919049222579,36.044412392472864,33.40118640057362,32.955675393638984,37.29645981555588,39.75535981031113,41.51575380203124,43.71195075740376,45.055458306500206],[34.22152971421697,31.989488763639297,32.26890366853071,28.92333420184478,30.09987051943598,34.53155975597356,35.90926244815773,40.45930930284189,40.95303322120758,40.826177344814724,44.26915755282108,47.338285638084805,44.48652819695427,42.93281742014103,47.79057814499531,48.39623558733054,44.581232740349414,47.62806278878369,46.759678781459506,48.679683362041075,50.08631385317011,52.135046890366546,51.69189307295158,48.77088105810809,47.17493647060079,45.06786518741871,44.22203316353929,43.01419470530262,46.50107829834113,48.25174282181601,52.85132165289566,52.94340036944844,57.270839194119716,59.53050745510216,56.08986743448801,52.77010008755193,52.1143432623139,49.40704836786895,46.92553258913858,50.57734661683313,45.70787474405309,48.75303593493589,52.04751656776716,49.10499176465938,47.18160429157247,44.38101573785179,46.03638145626667,49.37476863281942,46.899566455967815,48.56278368108873,52.280377598873685,52.07814055226098,55.62756709971075,52.4628904014191,58.61135519944169,59.740399429757396,56.84535115436904,59.323694613750355,63.24151944739572,61.52101795157804,58.709060092005245,61.596271374976624,61.401859662635744,61.370454494453135,57.90577714676098,55.788363029034436,53.479930769085705,52.717266641362514,49.817542254225835,50.065925620111656,48.19035575292225,50.48538099894268,53.33400680948388,54.75589981543405,55.57088411694662,61.44317600246977,58.96363049142361,62.94625938261595,60.825402724178154,60.03090349729274,58.658129475664886,56.1781048270177,55.39129104766384,53.55732731886887,49.70803581857263,51.1608071481827,52.99295486754727,56.01840269587224,55.39574535507542,60.572245427748456,58.50515207969624,61.99086023307296,59.695097539570654,58.81713893751937,54.439831185940896,55.85749168669786,51.77307829790028,54.143936199016224,51.997606631469466,54.402797144229446,53.59919569671317,52.07831769406748,51.80299529789176,48.93644155602456,48.602862085730095,44.07559729157059,45.27284352401459,41.890088471567616,38.82977444029414,41.865408513273614,38.23864443694684,38.54401161212106,38.13488123670694,36.31010262207354,38.465665673859725,35.7435084361327,38.83401523373446,36.356131181496295,41.46820923408397,43.02390958887786,40.21370187392723,39.145996088783306,34.4016290419049,34.369554450917775,34.577672671793756,32.420687523644304,33.59815988666315,34.29218660577319,35.220560159028565,38.90963457389331,34.19767847782862,37.83743812098525,37.461116996315944,41.57973091547402,36.29291653806522,35.21177477097886,30.111829367730063,30.328732985172742,29.802260004340397,33.73777424618893,32.13379719389683,36.239306072406904,38.62849657840889,37.62248622117063,40.946897037594375,42.81322404163757,39.99259782447359,41.74338313438574,41.696604402322905,41.65925077133738,43.39403220556578,45.36929312288782,49.2894583516831,51.07704891446767,52.20378967800195,51.19790696533075,48.375603656709224,47.439308401895424,47.184250981075024,44.25676838058366,41.08169146696426,44.31738502187064,39.35573617777371,43.69560081970618,40.33526812407303,35.440312395126,36.28028528272975,34.67973945310893,31.795931027333054,30.691807675992415,32.811345517806146,34.403812018560366,39.28413369566522,42.60322268738481,45.71617586912992,48.403127923119136,48.946642370562,53.337652661525674,50.57454499293296,50.677062386341845,46.541465058965414,44.29306827618379,44.78634450533247,44.919577681403545,42.592986286552446,46.02926232586026,46.47176562440528,47.57307990367817,43.197489153054775,44.00598452184294,42.10791320219909,41.891122196591134,39.303072494318755,37.435719123739275,36.79478910974998,34.948290573414354,31.695083364124695,33.947479139978796,32.165652347505905,35.25783702670725,36.69258723778698,39.46727198884456,36.48533035000027,33.961504933003766,38.0364493091024,38.260096104298285,32.54195137901122,35.41742813725702,40.93466691086849,37.5151197735411,35.94089661772746,39.46199259890957,40.989261984911444,37.25470379067429,37.91067034230367,34.87894663142193,39.278024843174535,32.300826501234,34.6941368140773,38.58786267555461,39.546309394169846,43.144219610955446,43.042587791125534,45.379171990218985,43.79155936155053,46.201341923303275,45.40298375633157,46.06822945964271,43.55766757377328,39.333241101376835,41.408562446671404,40.588327203489726,36.43738505413138,35.88331740920347,37.17368831176064,33.45364962578632,30.79226692215902,31.816336379866982,32.773691624333686,38.030520354511935,40.56194150415302,42.48988086907952,46.18199799702654,50.08437777802938,49.062587727336336,44.29767160553264,47.14329306564749,49.918369278016904,45.739380544985835,44.040668729532754,48.23228690290596,48.32433492555255,44.38287499617911,47.08476157079756,49.71146099348052,47.09350845049467,45.25035135175618,47.69967559057008,44.55036634648627,46.06110536054214,44.76887864222019,45.33065867896615,43.94406385849594,39.68411961649854,40.36664536589454,39.47468266581893,37.14272812420897,34.6475402202592,36.8255102360313,34.45479620483784,30.899722760582335,30.89299793948994,32.4456139057587,29.946125452641777,27.308688252123062,26.09933874816403,24.584396566368262,22.93179818923412,27.764379706196532,26.677950661271804,29.66155339042922,31.345448805421448,26.88883569534998,25.57637341907879,22.858168286469542,23.494094204111065,27.81332122855265,29.10922919934026,31.663132725437425,31.78091652391784,33.01123492884978,37.47638039251583,39.862291764485185,41.6782556970832,37.09816927925753,37.14905137823891,41.013613680199555,38.78036752642055,37.88463017470814,42.263028924276,44.93005348257731,46.79027847638992,48.950295155159964,50.16676848568977],[35.2638422666518,32.74333356495734,32.46395173184934,29.337981647972356,29.458915735739073,34.55459266377696,35.69510306083028,40.09491433976286,41.09615742832785,40.87402291982017,44.46543019457885,47.304974444556684,44.111156580155054,43.04950848347401,47.73833863029975,47.97675462415608,44.05421011935208,47.044336479786516,46.15454611289926,47.608701470196834,49.02239034440522,50.66085916036584,50.39093568257878,47.40994231393947,45.68461089220083,43.96013128849032,42.89169501632625,41.9658103581538,45.53208869949645,47.28457595063699,52.34304266384446,52.111745700513445,56.57541918808721,58.69165756940471,55.0138092780133,51.69040772588111,50.767431829639946,47.869654089215885,45.14903609636199,48.25918741015699,43.621174157351255,47.05378597546195,50.07137994564002,46.95688060033493,45.05587450750913,42.01747727245138,43.52784315795544,46.942476258194326,44.31234826110452,45.59349019510091,49.309271742797236,49.23897988443267,52.90327054413156,49.96094134906996,55.98037414587547,57.224012983662476,54.60880204536742,57.16792768774505,61.007910550251474,59.273396996737375,56.84379805595426,60.03053232020169,60.0869032714714,60.13121134982943,56.47987532323534,54.43347751401937,52.65226187340219,52.01987681837913,49.538470233965384,50.0083820716364,48.341187239562636,50.91323110506164,53.448524810045356,54.56636713795063,55.14925952365243,60.84745099979494,57.96427671187082,61.91592931031944,59.49071952776038,58.367371365857274,56.837553172547146,54.0029298729942,53.29495811857666,51.081883792220324,47.336090430468516,49.19814166984239,51.229475339149324,54.39424783804635,54.09481596383636,59.4490065455179,57.71931500336823,61.45807092396137,59.32828681885045,58.45824258698825,54.18141141822206,55.920470899348324,51.926718463911676,53.813298989055966,51.623842936125016,53.933344414412126,52.684582667896066,50.89049011058861,50.31870105511749,47.25017126039125,46.3329765778526,41.97783195094625,42.88389724540102,39.257541659088176,36.557909318290555,39.908809332375846,36.71989528963156,37.02101196850667,37.22833225312733,35.26813958287566,37.85516931584372,35.11306379255055,38.15862780517349,35.61844089380996,40.91368164111921,42.61454134286414,40.116826386275676,39.106728267459815,34.36240192793743,34.22537113992908,34.39433970222128,31.51099111112252,32.6176559561768,32.730999572540604,33.216370225288394,36.476795882244105,31.45930111163229,34.74349383050855,34.17371154578452,38.58288968877613,33.412910207525,32.88918517697477,27.649703809466278,28.452925856249056,28.451549388479922,32.082729021630826,30.616395973444376,34.55255360649901,37.25411259315979,36.175754665526824,39.25198006940203,41.42872567717816,38.71429350607521,40.580708831354116,40.39970808585599,40.82950204210063,42.3821091798866,44.87520293065924,48.60725130426967,50.91622178829869,51.949556460180816,50.549268000638655,47.67067390715438,46.335613190334094,46.059646119649976,42.64608600106832,39.2296692775189,42.58746743110602,37.42876114102529,41.51711258081497,37.71649980869787,32.8263555364505,33.16204204219453,31.2627335845655,28.3289424087105,27.778788354145025,29.90213862119014,31.99001106554302,36.73003082596052,40.17094827281025,43.50242221188524,46.28447123932845,47.26603219309755,51.31332878998752,48.30762310397523,48.192150441003335,43.82404317916595,41.784403175239916,41.70234858119417,41.54297334055512,39.42585675465915,42.99038961471854,43.81153532855189,44.476132464901994,40.188290798965355,40.5937491593771,38.441649721146085,38.38288110433878,35.54042862730737,33.74315607537506,33.01699979365165,31.04591293783252,28.182969161713622,30.537850388203587,29.14854545059668,32.65139457085637,33.94474205362826,37.09073796720312,34.43122841451931,31.832061407920758,35.89080579144724,36.62864227404838,31.186567074002546,33.87267236931609,39.43889587968882,36.66266047333148,35.2017443490208,38.63023922160053,40.43570838214429,37.14446347038769,37.71288144086694,34.45815144644063,38.5905004179522,31.35439499798618,33.33936919370243,37.147057474385676,37.52341265797262,41.298058012039604,40.67913952053752,42.800764357812696,40.93694959553121,43.06680232953558,42.24440843842247,42.514485361305375,40.146542990206754,36.17133924707613,37.89168830630259,36.75762609514883,32.87236798205571,32.3160203114819,33.18155217007994,29.45472278409348,27.182078052306437,28.004983478498374,29.596958191421077,34.71387469862565,37.12233190645334,39.43512809750554,43.1085169752925,47.175218404712645,46.27622247527581,41.56622191749687,44.63982446496242,47.58368367323579,43.59994117430436,42.00399288412315,46.39400723317923,46.76497401861302,42.951929067697804,45.46346557562573,48.35053341155825,46.13889200309182,44.13551933144319,46.35397519781909,43.02417975012868,44.09802026249247,42.531625058201435,42.77829038236089,41.814210524446366,37.73114243125498,37.80312360295232,37.00395981693729,35.03154995839223,32.16964554184635,33.89792210897401,31.994547687397112,28.697460084809567,27.959660267478466,29.374862679460048,27.43744591861513,25.06477539430126,24.519685011617568,23.059292899370913,22.24039190627895,27.110458601043543,26.378668424667254,28.803597102029546,30.932798430700363,26.87156629335554,24.92358033068054,21.93186766215021,21.90724943435407,25.768398180980707,27.456460807918674,29.453429057100575,30.10500958062769,32.06055715251942,36.17883403243649,38.807511117618745,40.733411831655815,36.27927939825358,36.723966924281406,40.76934576732047,38.50250705286011,38.25678641143319,42.61707473894328,45.24344075596214,46.88838498872681,49.11011921907105,50.29561034558231],[30.45303843564115,27.759663194437277,27.354090435580016,24.04006411589512,23.97042282800214,29.115371839365086,30.248278061677258,34.62602986995834,35.73327270920152,35.64328258671369,39.279674038777245,41.9987609580647,38.92111821168615,38.02237808640527,42.73820955912881,42.93757415781659,39.17216450563493,42.38517708377503,41.88857296390025,43.28797855871978,45.02027136439965,46.80895364794363,46.79523522984,44.03785501136238,41.995048551098826,40.040132162000425,38.67507251692878,37.43964356480997,40.803298845600665,42.31610304354842,47.472150480090306,47.02135172443727,51.48238929636533,53.769973775438466,50.117741778080976,46.944901758822986,45.85199545129042,43.29200166521923,40.704462800272815,44.03632673737165,39.5767740666617,42.99654548979324,46.191435302110314,43.334305777074206,41.753049888402536,38.81908284059592,40.687092160584314,43.77611812824929,40.84995586536063,42.59099539521264,46.08519145663891,45.72580697303749,49.289137911161745,46.04859392439805,52.056555471343145,53.51501829527964,50.77958303070624,53.07925316977516,57.074769540962826,55.64815469750144,53.00904193758948,56.01773861442206,55.86730901856319,56.230351278545335,52.629453732034854,50.30050073134735,48.56904104001373,47.63632411406582,45.28315412006176,45.49842269859556,44.001616548764105,46.73259288003027,49.07992976308864,50.38933252549251,50.66993472426235,56.45790116380053,53.57026393678868,57.38266882712928,54.97974567745524,53.99280529018224,52.26615080038777,49.578270497175566,48.56953659695732,46.563753420501314,42.879021639461605,44.53346027455393,46.73792662496317,49.65124355324078,49.53092960698783,54.71199936015255,53.03381264152518,56.833908507809106,54.56322216994766,53.52466131790305,49.18609845758427,50.92349346871981,46.893148748325096,48.62811086431046,46.335626038621115,48.52377253287662,47.392025197843445,45.511452518376224,45.10927586146446,41.977819380273395,41.29310605602134,36.81336177072743,37.82504059055081,34.325954719880386,31.432022586268562,34.652922480163475,31.326150593990892,31.683059087435783,31.821355940997556,30.018313326948796,32.75216656370084,30.20111236714662,33.472020089964765,31.268162212087493,36.7898917034176,38.10241788148088,35.62154975600279,34.35584117108481,29.653833449912376,29.22391498842741,29.148003351968388,26.2296943293809,27.149286786796043,27.389849190062314,27.97758652213204,31.467010352784754,26.585087520733083,30.12963604219182,29.783688831654615,33.96264587009592,28.790227828047097,27.986670679320145,22.72965165715527,23.564172154823343,23.66739503375781,27.405037403831102,26.537728307611093,30.806584483482897,33.13650062044409,31.738039235047605,34.85051358073013,36.7098067731315,33.87230966006982,35.4945823724787,35.16761556768964,35.46200877911718,36.9366591655723,39.405298145349704,43.11988194833289,45.44518419271309,46.491089439191505,45.10117501046797,42.280328790799636,40.93802348706209,40.789216007518576,37.394954932389474,34.21080675647885,37.73598953800432,32.816795182300034,37.03307114788687,33.52474436251839,28.86702844224874,29.246114617630116,27.897977098045452,24.6690872846914,23.744604325914448,25.598041419426913,27.47219731760407,32.201450686085145,35.50221552782885,38.71177959757075,41.32801237779072,42.230949324566026,46.33977498651977,43.56635745595033,43.44929488558457,39.32935100147679,36.94325321963185,37.27580731677566,37.440849598369695,35.251637309801005,39.00289697902959,39.75853299265888,40.89542536435195,36.91428888162473,37.30518664298537,35.309965563562955,34.807575883888724,32.027490447136074,29.96453070483973,29.188198607744543,27.286343060860187,23.958660593819857,26.220907934519325,24.57720282644232,27.756021732120228,29.356007860373904,32.21481210673312,29.33288244324814,26.99936270319927,31.203056624070825,31.607737039114834,26.187283899095544,29.194480652687343,34.66468588740712,31.661160271088637,30.436690908077647,34.01600867395491,35.54392254873638,32.33427145536863,33.270325722404976,30.058151592590214,34.43631897071475,27.55816322843681,29.238155857261095,33.22120114191955,34.03085913584176,38.11311101616589,37.56483842263605,39.315266275399914,37.34026812747679,39.4867801889757,38.31776261067804,39.059604253507274,36.894527288371044,32.36801376891912,34.18721243177486,33.70140384804683,29.614610506523306,28.658059124944593,29.913026247165433,26.653989970868317,23.83823607762486,24.279696500750013,25.382441178157073,30.40061408663415,33.03506732678866,35.15490243165897,38.717645931380055,42.76398278692153,41.60698577048586,36.89288264577606,40.03949066328987,42.763386003548554,38.61093177013465,37.16284148862815,41.53408746430732,41.751848305919694,37.98129036009696,40.76308688270954,43.54414948648292,41.19626423541486,39.463902706568035,41.87941910165989,38.630849739416526,39.78836859082756,38.096585299185556,38.71392513684386,37.82674437401548,33.371930882714395,33.68429335714488,33.27093952982542,31.109306810638778,28.04893959759918,30.49027123860078,28.782392107679797,24.879912713268535,24.306957114095603,26.542517848956553,24.670196610593372,21.741129502707928,20.52631076946862,20.04811210714329,18.688042036655865,23.550230456846375,22.06214517866329,24.178277730586785,25.956322922003547,22.013285870599574,19.99018478952938,17.29699827865136,17.05242158321539,21.076201634141796,22.23716092056851,24.345573858297715,24.74221071239329,26.688754296639004,30.836679801703113,33.518516401084426,35.283785631031805,30.823468096455947,31.3927598514668,35.3928928055081,33.02897823311163,32.965643139806545,37.303740171259356,39.87185124007108,41.47247413484952,43.72072537202117,44.95385637271834],[28.732551799382215,26.40572603959868,26.431384706859276,23.656878805874182,24.735365361332924,29.397715127234097,31.13582745722321,35.576377407309764,36.48973888796162,36.867251166192794,40.421504838925365,43.14891660351816,40.63140457745384,39.50206560683562,44.415664911217696,44.889240614812756,41.39892869430238,44.85109639367659,44.64845840559473,46.33059694633305,48.23191363716018,50.333823931134056,50.32927399251194,47.689174609000425,45.61353096174875,43.33419470570602,41.95542862743263,40.34914117348597,43.486289954419945,44.75153238819591,49.67393970610964,49.200452664935064,53.552410710550554,56.1392233692397,52.67250188195402,49.66069851481277,48.54833902629313,46.418288113663884,44.05931778886755,47.732636608974076,43.326617680132685,46.550137777658385,49.95774190352454,47.30009575429806,45.83323076661515,43.03463782118857,45.0561879037059,48.01744327475734,45.045388371987094,47.04762815420794,50.462358671230476,49.95352281396942,53.443217484168414,49.98464881088478,56.001945001548854,57.54647644774083,54.64333269214197,56.75493978443996,60.87376997957653,59.60841275388719,56.718909938804025,59.488249268228756,59.08524791409101,59.57535159202683,56.11058831368105,53.60386523820594,51.57377152963371,50.37499769003417,47.79194625428609,47.64928548700623,46.094117696529125,48.671887550168876,51.17976681766662,52.868322166139116,53.13413700052586,59.102724046263745,56.493019234070296,60.21726206115032,58.013648507905785,57.29521087094891,55.48625106300398,53.051532401556564,51.734842812371326,50.02268513148956,46.4066573138848,47.75123617011068,50.02305335671218,52.64231226189962,52.52041376952972,57.439393228971554,55.59629331695386,59.26024868719071,56.74475024014367,55.53096098671732,51.0453466593216,52.48779864995183,48.32049316574027,50.28625652972686,47.84970516788087,49.800965401064566,49.28392651828261,47.29408037557704,47.4207446728872,44.14758745070798,43.9398433543205,39.20934090056845,40.14211461205778,36.808336726599286,33.518827624901114,36.585164634816806,32.93453028930173,33.76591258828245,33.500604176127396,32.17162708288557,34.808696434134,32.51384249108995,36.012398886383814,34.104968031492156,39.60175159384907,40.557260619139896,37.83251286873292,36.30364029088195,31.64724901284911,31.009223040599576,30.598685081792873,28.27017800737443,28.60397488677154,29.53059188022803,30.274603840324016,34.18750430597947,29.400531927881644,33.01531174124125,33.186974120358165,37.15009867887097,32.17696466439206,31.09937613185337,25.86997385550784,26.709952432523828,26.65933949487379,30.599705434912686,30.05835261368296,34.55254598291247,36.521161609448335,34.980479755378916,38.2289423039772,39.66997115489074,36.67281280865693,37.93465802153881,37.441689662757916,37.186820804495646,38.45710238928496,40.47531841553236,44.13419712885611,45.91940472256567,47.346117310715606,46.38025727444953,43.819169794576155,42.663743333614185,42.87012439156813,39.68977278165129,37.03542789048123,40.71713760700974,36.14711183652966,40.52641881319812,37.376479581700806,32.90698458374043,33.36815706323947,32.35058480726258,28.97376062347337,27.843017369141478,29.453050924612036,31.078128661285277,35.75909541744883,38.86073255642913,41.87563442965475,44.21789499162454,44.92674263274452,49.16800528290589,46.767120408071584,46.63962103354403,42.85433431408791,40.00392164872977,40.772422139338616,41.22437488201283,39.073027684555704,42.996299312642286,43.671895963054105,45.14334898622509,41.304833281197084,41.72513266094168,39.78633148337704,39.053415518718175,36.2419956573237,33.96445149711307,33.007060030644354,30.90574938541241,27.3564387637643,29.124154977849436,26.855771846270855,29.811230483043,31.00622014681508,33.681681639484495,30.71921918050759,27.988561276506086,31.98769562641743,32.17976166039453,26.393343510112906,29.189660945644977,34.71167898303598,31.331167341407834,29.693907054242647,33.19683349490951,34.80065154814503,31.14370658640159,31.74727462523503,28.665405900266414,33.07491850731977,26.165541416200288,28.476427621543415,32.42077921617923,33.59197449892018,37.29688830839554,37.30766460917261,39.552710055858114,38.03751775322743,40.58268785108724,39.78405830200092,40.76743307673346,38.193118558936625,33.7465340000552,36.11128577242998,35.621445945215285,31.23709647500167,30.683953836916146,32.45300436487891,28.782763686078436,25.69775348564135,27.093440971710223,27.349732248171392,32.85992671587102,35.336369301073944,36.88963809967706,40.66169590161799,44.38268649289918,43.46115838001469,38.643310684914795,41.2288223442023,44.02681369730896,39.88224579147432,38.00051555706356,42.11736213378907,42.21331703774893,38.218811169337016,40.86287970973516,43.47528180448102,40.883943348450465,38.980800277879155,41.43408731986544,38.3013306755084,39.888328802618474,38.68273018927968,39.36347437108402,37.85499691596942,33.51719476869386,34.419566052583384,33.552386376353276,31.07892221181571,28.690566074520202,31.187568483297227,28.72777452597751,24.913347128697133,25.25318270213918,27.120611426647145,24.46853022224542,21.519909329095924,19.954514237042115,18.810385185936223,16.88962618487119,21.73085708078882,20.48081070012774,23.394100215500828,25.212876962639548,20.826219888889142,19.40605529713927,16.620940292173252,17.40980391958636,21.786884207040007,23.277716477817275,26.10598116874082,26.437782594002936,27.19089682299311,31.675544762391947,33.90753059336224,36.0678028277714,31.495989704596088,31.301323183099754,35.31019318192536,33.44191474400447,32.40345619653005,36.788028852326676,39.604829737522685,41.46598583183765,43.64245428228859,44.77656129994916],[33.384994294137385,31.15138234009728,31.01235265344466,28.740974903754896,29.50802875675805,34.44866231719563,36.184495837898595,40.551939030542854,41.66604416005326,42.003299208688894,45.594591350758364,48.27092480767114,45.59826302756363,44.59067657535348,49.4354046988704,49.78513857582111,46.17299107697238,49.49228935645714,49.05362285505973,50.573374574516826,52.291103692379984,54.12107358380005,54.03144321202787,51.20703048943388,49.27561633559481,47.30747406807141,46.004016766763705,44.70116740476578,47.993599563191815,49.37808934384559,54.46372918144877,53.94450068965259,58.36112370639488,60.81975560524344,57.228698221622714,54.139721523236396,52.97461192496197,50.582830654786,48.02549955311361,51.294364590007675,46.90286879699844,50.34317766698316,53.51672712750747,50.60244945359201,48.94261843353412,45.949419070400836,47.66546149539285,50.87931306575186,48.00543643382218,49.50375447060905,53.07157642975888,52.82087122752289,56.449832217760026,53.274672309297884,59.24275381480301,60.73516063428039,58.03590010199483,60.3425826281302,64.34816630641083,62.88848903235416,60.317800133019446,63.34882839309196,63.18584678758644,63.51930091302347,59.93017749372773,57.62422565604055,55.79312486401848,54.82618210794339,52.328406190430904,52.420702154758125,50.838578264686014,53.41853970287725,55.936751969718735,57.39948451797364,57.7564409487117,63.61257260031258,60.83238760222314,64.62505333526964,62.266273449395705,61.31215376969014,59.519538954710484,56.80995198741697,55.671025642363496,53.634359327015744,50.047713322707445,51.733360197218005,54.03635402174241,56.85662896976531,56.80810451805967,61.90645290648188,60.18549894421542,63.92717415781571,61.54898620221497,60.41619340988291,55.99197637394651,57.55433269378639,53.42884862982126,55.27462189543604,52.84532223228517,54.756551147358934,54.04192032215936,51.89508077585427,51.85761714689764,48.43825806251423,47.794357842496865,43.18431303555675,43.8002146720509,40.22954310190352,37.21264217803716,40.57266300156002,37.2361183306731,38.16303749323646,38.26181020066973,36.84091106740341,39.63480497305924,37.23357556129623,40.6056863631405,38.46485123629639,43.92604042215078,45.17780654761773,42.559328226407814,41.193438294280625,36.497571338740805,35.97319319476601,35.64954036333517,33.00582060984269,33.29501879754806,33.899384477082485,34.29767630187516,37.87991730556752,32.764595013680136,35.97044804394406,36.010396281861134,40.312632600823854,35.4532348512281,34.886547743281604,29.526005635149133,30.754450369388643,30.934246020606526,34.688849747593196,33.871211713135565,38.1077848189534,40.465642467163235,39.07091363956813,42.19162853575489,43.964390864698444,41.069630121574875,42.50205187080768,41.98218722520941,41.989674543877804,43.138391802531025,45.3968664278409,48.91981977269568,50.87732912917707,52.34960764639428,51.242831726556034,48.67834232244616,47.313172678205696,47.516173139640465,44.043093880603735,41.19187270104428,44.89520399609217,40.087535817389636,44.2788397518495,40.70536998215526,36.08843260209739,36.20447918358355,34.685715480335595,31.397799997601457,30.838147109682158,32.59133683696848,34.657881886565995,39.27780099032854,42.5276498440186,45.74100937351705,48.1978426614405,49.20898696868095,53.2233991771429,50.591947833289545,50.31063271435774,46.26870286076707,43.65859200624944,43.85582151966444,43.958328908862406,42.00993937422608,45.96675992092261,46.92598185029757,47.871654983191306,43.893538555015375,44.06117514013491,41.846013424115384,41.46156219840872,38.389636721488934,36.25940007579629,35.203261876942584,32.86809344360449,29.836340380661337,31.595277570296517,29.588137584383375,33.05022409958948,33.76060186385645,36.89118245069658,34.31844185462748,31.180956666720633,34.974688330500946,35.7619829384478,30.06767121688406,32.3579498303469,37.99394601357497,35.18179756309246,33.29669951577781,36.53756241517276,38.612339171183145,35.09534973412522,35.176125687341624,31.97132825779838,35.908506925125884,28.534899954156348,31.013948728376526,34.688756229144495,35.1590794627117,38.554162621288164,38.34212681766302,40.954863668484826,39.51900548127325,42.00628176570184,41.63261988086551,42.030554739236926,39.21577266440032,35.44401563080489,37.68544865238711,36.42885130797259,32.271893175695496,32.20443032745277,33.558385505543804,29.32279857361183,26.844499958210104,28.763036880725068,29.574446118801692,35.26690969769357,37.42507814171391,39.208673898643795,43.15014800607315,46.89001244476127,46.36278473797581,41.538613403920316,44.024517927700686,47.16166164697859,43.3008759054861,41.213957047223936,45.39682137698834,45.785210721056565,41.7763832445433,43.98686276395134,46.815153193033964,44.56339207166723,42.24704675533036,44.35603427036063,41.07289067881983,42.41837868998114,41.305713069695486,41.45502396967092,39.953112190038446,36.131983613912524,36.58609774938474,35.279303348056864,33.13229902914267,30.893861109910496,32.453613772696784,29.881877285590782,26.854248515676847,26.822054845058666,27.734831807784172,25.14428346417113,22.91358952688566,22.379627836090936,20.146552310472575,19.283897979489275,24.028487911137063,23.88890839927195,26.84075639095668,29.30036533104215,25.056771745788897,23.4119915128335,20.1837021060203,20.893457035494517,24.847621285722724,27.166423689126244,29.698914899119224,30.609239677616156,31.56361715711458,35.85942195747588,38.074349762392,40.56943373012982,36.069848899846534,35.8242557396702,39.97961725158412,38.33009429194817,37.30923668414171,41.67797140236276,44.58227939428853,46.40819684799298,48.57399670672931,49.6019210019836],[33.71789849299782,31.206173676099862,30.547066597723415,28.406089617604493,28.180241447938624,33.650870641040406,35.130568854828105,39.32674952495176,40.872390034202326,41.11612640303061,44.81225175299221,47.27017889075945,44.31923372462464,43.751051189114776,48.42056662378117,48.45079889974366,44.78466941222602,48.05869933199016,47.65397511636986,48.76758854892743,50.525424670952575,52.02394512452551,52.11846970658507,49.29918311783755,47.22201532051598,45.55061197972021,44.02750154872796,42.9272143140699,46.23702643921046,47.58655934414698,53.0434466095427,52.23200751329641,56.74417116902973,59.0857561353395,55.31157077951332,52.25117767764431,50.84604201279326,48.34847400966794,45.623534030743535,48.444549847801966,44.3069866189716,48.0491112747079,50.997122231455435,47.99928665051695,46.422086070613034,43.26571257901024,44.911898202048505,48.1121280979031,45.074657779706065,46.315197983248105,49.8207002421102,49.63197542708476,53.32402957381453,50.306136192664056,56.13195129388802,57.75177205478449,55.28645495340803,57.61160494186908,61.55663212073202,60.139962981757286,57.86675175234216,61.1077257703217,61.12714341929297,61.567224396596856,57.84528404928963,55.567261970366154,54.19359659815547,53.30055490097671,51.18269878707221,51.42967428018391,50.04970407478031,52.86921442395121,55.088684014836566,56.31141820374873,56.43670680043213,62.131386191695576,59.02382632532724,62.75777440831953,60.154748157658894,58.946270229443726,57.00164198549859,54.02420161698695,52.91715904394299,50.59229592963151,47.12258986951742,49.11892239412136,51.60238504675724,54.494429579078485,54.74168032608311,59.94675224507579,58.52352343956483,62.47094670603882,60.22766223854835,59.090884980396744,54.76685988136839,56.598487581218635,52.57008335077366,53.97967318872435,51.521353656648394,53.34513826391168,52.24637102746728,49.87788137399483,49.59093844644145,46.016645685740635,44.89715166601465,40.44582699918762,40.82438402402824,37.07010276059571,34.36966282486321,37.972259166552966,35.03658285514494,35.945239977600615,36.574523544918954,35.06047890209895,38.207677009200275,35.83387852253353,39.15895714222659,37.03252767165458,42.62277400511421,43.93624342328869,41.600900422399945,40.268807172607985,35.625510543882186,34.99113807012895,34.622276546482965,31.38388241493202,31.599617618486167,31.691015009089945,31.70369492469106,34.900933000803704,29.567184876045605,32.46026999300791,32.36513133940111,36.86867798726845,32.1529621203067,32.051439399205755,26.62883515949376,28.379486851390624,29.029170046298905,32.48199178212133,31.889734574514325,35.98216485066268,38.51612240206237,37.02563867785579,39.9105869442485,41.88575266471636,39.09101854807042,40.579920285422084,39.93501267606791,40.337280141754555,41.32366632910627,44.0211313636371,47.37059492349679,49.791700061358625,51.1507554613096,49.69763342609818,47.09112689579247,45.39101947492914,45.57618809909082,41.70990672884392,38.6956005778826,42.49712577257678,37.59525905095143,41.55350460874482,37.67382977225447,33.1532623803767,32.82357383135173,31.162562703664218,27.803341470283197,27.69246842288611,29.365571435091915,31.814977862083794,36.257385686853176,39.565546829383884,42.928660423353485,45.43247633850913,46.80318061101577,50.51184612420437,47.7136509488268,47.24566385163871,43.06011571382506,40.596228741494826,40.34545333555162,40.24112810782074,38.480737106369894,42.56162410954304,43.8362407606021,44.476666927251195,40.66026609969013,40.46683896605277,38.07169376908658,37.736755608746485,34.46545323573973,32.3569034986477,31.20806899623227,28.766050431383942,26.043663098736165,27.85568782090007,26.185709145006417,29.967360346829103,30.597348690252414,34.018082794042975,31.71933247873494,28.589838921805065,32.38192046842599,33.586199385945584,28.208081342624144,30.375912739307488,36.006274024248874,33.76384477339018,32.06791024407171,35.242858401344414,37.48562752355878,34.42651443500177,34.53557414110429,31.156963440076893,34.884797738989334,27.398933004690974,29.37613184600478,32.99354682730034,32.987006653935836,36.62894084454751,35.9135412599747,38.21623780620365,36.472346047177815,38.68157422309443,38.19985773250917,38.309788234191856,35.681564786427955,32.03282437073588,33.93929374879007,32.50395873606266,28.56101039133943,28.41075979819961,29.422449212753047,25.254093295405802,23.055152135298574,24.727990226764213,26.069406058862015,31.597148180507915,33.673692702179366,35.796411827379465,39.688872831978514,43.584605167849155,43.109740550753266,38.35007490990544,41.076261810560524,44.3118212563051,40.60393685236974,38.66776089765157,43.02596902112127,43.63788435421102,39.78096620432727,41.876559101180426,44.91709681416019,43.01752366787614,40.63840575118119,42.574514237318375,39.14808382600943,40.083073840976226,38.66833323963959,38.59784220701184,37.54116770427733,33.80963830549818,33.70798941176097,32.58967188790773,30.76540468884873,28.10975351255544,29.368368323301205,27.32718615041766,24.430994311990332,23.66965271576748,24.615920073689338,22.638180760821978,20.568224508671975,20.599893479088227,18.674685136489185,18.578925840488743,23.28786361572509,23.303824782157953,25.59503795068737,28.35647539618295,24.569089421686023,22.331740036162767,18.959604319479027,18.94486481467756,22.41635180115925,24.99610211009171,26.984962680307895,28.343354185694068,29.970526861183327,33.90826657110766,36.354300708086285,38.87461183905805,34.52385235362156,34.6878381758999,38.9538892734371,37.23284609106901,36.8587154237755,41.179269261187976,44.001607790199714,45.610040282029495,47.82339887615001,48.84793191002318],[30.44692561454089,27.78351557408708,26.97997771481712,24.72023233661242,24.237266536205627,29.796350974309846,31.23586023889558,35.391452566501385,37.04159436505581,37.353701416679066,41.074750277725315,43.432963376335366,40.532587036336515,40.109067151220316,44.76212786757713,44.740254013695065,41.17922467758218,44.57740406700367,44.423962345824506,45.470361068179706,47.42727308555267,48.99930400980427,49.26770419339968,46.60043286777495,44.31861489897779,42.52375893629111,40.802806994784824,39.523829595695354,42.69361587082609,43.886362858945084,49.41648022820571,48.45204657508064,52.96196419478319,55.39450076675025,51.631378588200256,48.6718280515468,47.14947466305468,44.86376792756809,42.220792454359604,45.159708103812264,41.15676252682207,44.8947409276276,47.94002150946316,45.11340113264409,43.75132722542983,40.6650357827046,42.540371086294144,45.52025561909884,42.2897467045841,43.83130649874303,47.18221066372289,46.7994447311193,50.41880752292402,47.216184393922006,53.025707897029015,54.78127305178991,52.24562124104721,54.402057600676926,58.43922721095791,57.22312031789821,54.82587494481281,57.954199223394426,57.849464591603365,58.495730264367474,54.8076790508162,52.35647598327985,51.043531002274214,49.96825367711803,47.96428450773886,48.06458753809598,46.811775790115924,49.73864301794193,51.81021480493873,53.129861802924964,53.05051101352965,58.77741250941455,55.65380530423283,59.29105106626453,56.69429564028075,55.56268477789729,53.492831279808506,50.60402773658415,49.310500490872556,47.1110445135982,43.6860508269425,45.55881378005009,48.155463896157684,50.88771321740143,51.2605245834638,56.35430047528559,54.98234487586649,58.97249928050527,56.65621979961519,55.42010743497675,51.07581513526398,52.92529732861288,48.892815528344464,50.17143557303354,47.65567785463354,49.4046044309611,48.342060611559646,45.91766345852878,45.71153729756554,42.09748146978659,41.103126411823304,36.579798539217364,37.028031800813245,33.342589866235386,30.52540312568252,34.06399241373788,31.061951022762806,31.99997296514022,32.63348016158601,31.217979453242364,34.484430279025,32.25103848558235,35.698240100755385,33.80138130196805,39.513777882934455,40.58014494892672,38.291820158193445,36.80900327585383,32.22836434267677,31.398307518899866,30.865964844629374,27.553352916244563,27.623294073656556,27.74687577283593,27.78751912101696,31.11333280610484,25.843426419249337,28.91376879273902,28.958044291042885,33.32141860385627,28.60126820490651,28.34576774821172,22.904000537344643,24.74720762157188,25.525672397486474,28.991732122354147,28.82197372235023,33.08906773540076,35.381788647797684,33.68464333398626,36.5620343350929,38.34001941482445,35.48339403574918,36.81353223587978,36.06668170289911,36.41718732116296,37.344622654865894,40.0633617182142,43.394706192361454,45.87011975136958,47.210639750694526,45.73180206273746,43.15310406771265,41.42684606526111,41.68337293257514,37.808212451606174,34.93175114090726,38.841200643515286,34.10166395359723,38.11779054027915,34.421836980906775,30.07876107405593,29.75063146499725,28.4628636921184,24.904365239624646,24.572621426962257,26.04249721714926,28.373481579028642,32.78540912712982,36.0002960601176,39.28856471964697,41.68860230117185,43.02389512836938,46.756834370394465,44.09860709833201,43.627212746023595,39.59747418153725,36.91658927975532,36.92536917901762,37.03397639389081,35.22398061930404,39.426546234847464,40.662504046858814,41.607528153644836,38.0060016838944,37.80035925257246,35.515462489828565,34.881118894314945,31.6538921488497,29.361459709925455,28.178647988508065,25.782103920563557,22.720088920301855,24.488551161026994,22.65021760270272,26.25104269432015,27.127675932020278,30.37677038894898,27.918918258819602,24.98021767308879,28.922849285962688,29.91382952767935,24.553426676298326,26.982330383918868,32.57081345198204,30.191672432958114,28.69606495846423,32.0038711480419,34.045252382288325,31.081289562914378,31.490112008443425,28.1152693041574,32.04564868004787,24.796180690077392,26.487679061564783,30.271715318930834,30.581116226483815,34.5301930802965,33.821084457365096,35.78732163449055,33.89969499267649,36.09701400034967,35.30342093208263,35.76442556565734,33.32488885062354,29.203193034848397,31.151502767196458,30.227035747118588,26.12291042108439,25.61023027880591,26.897116309887036,23.114290428756156,20.463853432060834,21.777475492432384,22.81376199268086,28.28255942969748,30.55414505441128,32.58747879716553,36.396948258267436,40.32159400295533,39.62797656428035,34.854788139216495,37.695403645670055,40.770920192797334,36.92647316605309,35.126122160189375,39.51066137569079,40.020741301919934,36.201063413660044,38.51975025921775,41.50494179901673,39.51827960906823,37.34941398551826,39.44024725792617,36.05233072969691,37.019240266008744,35.45657727661234,35.669340352736945,34.72360771337999,30.666592049757046,30.69799136791177,29.92063690629281,27.959051162184714,25.059500964317774,26.900308402679197,25.07662583723624,21.639981807762982,20.91514242378262,22.597283376402366,20.734200406971443,18.158980161659347,17.67445724974664,16.610696800141145,16.121217025036195,20.879413024406976,20.290619448921404,22.28374206420977,24.82526786849987,21.161747602989763,18.775932158752497,15.568182868252986,15.281211972033685,18.864960218028,21.110837123957207,23.130109159995047,24.365618484472705,26.075526574400236,30.006997668608175,32.53122463957281,34.92539135053412,30.579714551116325,30.887675214114587,35.13304013567236,33.320594811734644,33.15635163324468,37.45104381874741,40.21429507985228,41.771167867676866,44.01174139940461,45.0799236575398],[28.45864016067543,25.51666914205905,24.44619218096125,21.676859915454436,20.417695717908796,26.1734150734669,27.22982437776306,31.310427359207942,33.078051454614666,33.205533575004445,36.95792147651868,39.23867907235327,36.138208481427576,35.9201152214457,40.453763624122914,40.2832644303086,36.709391550458044,40.10561435880235,40.06577546596391,40.951186176012904,43.02183356932225,44.557880827418685,44.97878326759814,42.434065039205514,39.97638751503253,38.17678947859698,36.28826508008349,34.98163772437972,38.100958617240465,39.26109307993726,44.9105477356273,43.856239468886585,48.39424680798978,50.77223892121282,46.96377257784764,44.02540339431237,42.439621213479384,40.172986168670704,37.536153441759275,40.493321642170216,36.57824469631093,40.34639305221844,43.412715582578464,40.69563494826108,39.50222811267107,36.467635785637434,38.51966826268225,41.30837480182666,37.932974930974126,39.70922411754415,42.924892092088875,42.39601212560405,45.94994058975143,42.64971859625907,48.4473232412194,50.267531681120936,47.715909932759175,49.788680263115324,53.8551096259348,52.76121494936462,50.3152279014571,53.40043401141987,53.264159931107,54.040954172737074,50.353301272803826,47.81065988326116,46.64669417093941,45.5064031444234,43.69218427197983,43.796237403479445,42.68452003532421,45.75416922919074,47.62250456692637,48.881569033082656,48.63053920857013,54.30812017457438,51.08520357441327,54.66918012563884,52.02415421403897,50.88165010552103,48.75739853202562,45.885984866715845,44.56132928387071,42.39947094140506,38.96719377761532,40.80913099024314,43.446401781484376,46.14727650019153,46.596006039066836,51.68178580871099,50.39976962182761,54.46053841237677,52.1807770109082,50.939579633170254,46.64835787779858,48.622204423671874,44.65832366961912,45.75099915163638,43.27219722920453,45.09770017881529,43.79978900519862,41.44428530952396,41.0645405729033,37.54709171760593,36.52244507512833,32.050669611832596,32.70006145318501,29.058384716104865,26.298245755904404,29.767601252455037,26.80846710471748,27.46422378314069,28.22180045532152,26.659592140685326,30.025413369078933,27.81884588648346,31.260914694037517,29.481798254720054,35.27652091322567,36.240383185012014,34.10511684443987,32.60079198376178,28.101955722393875,27.187780094582386,26.672738715863012,23.07436925828301,23.358442748593067,23.201061685830837,23.276174816792967,26.557075180454092,21.398537599999333,24.705611294122708,24.600131943279557,28.857523337191104,23.98949549726338,23.609939992015068,18.180642360655913,20.017380045612363,20.961895654720525,24.337878526353617,24.464496103393362,28.78970634421682,30.947089881431157,29.115558035038703,31.92957295523163,33.66950019579682,30.829373054987304,32.16816304782928,31.43541749498165,31.969610184522303,32.995504645482825,35.89497586299446,39.274909195626805,42.01666437417679,43.119831431374784,41.44331177120191,38.75422179355644,36.97457947300554,37.09410166657098,33.188784967646185,30.19440784573708,34.09603071916523,29.38170417155244,33.39775607140476,29.787044818333364,25.55935659120205,25.271315783883004,24.278768150986277,20.618242924174222,20.053597635466954,21.41740834913235,23.65837373805103,28.07230439836125,31.270718200576216,34.544035495653034,36.97463046257764,38.297127543321146,42.04082373196248,39.36142314654538,38.939589023642775,34.930241686326816,32.26098362946038,32.40933685991274,32.63528045854235,30.70694799296331,34.89829295617203,36.063880231605715,37.22116575225875,33.76931625850081,33.606817445016716,31.469904895500783,30.612122027254273,27.5307822976704,25.171045654724345,24.098418815598485,21.95115291927979,18.571781086372575,20.6093571431156,18.950141341606663,22.324076551322356,23.817937526136262,26.84753818862278,24.194016918867955,21.83241986204037,26.032609583883186,26.758083987601065,21.67387739482002,24.565016485855168,29.966136395673907,27.525975992519104,26.519512990165442,30.000746490308323,31.663455443097316,28.99967322102622,29.97014737732465,26.64122900964332,30.78182414911344,24.053208243786287,25.102770985498925,29.030443568213524,29.602306953125925,33.97632640653103,33.07322913106176,34.39802549832333,32.16440671284032,34.124325971067066,32.76513356855401,33.537633576480886,31.57547559108417,26.89732657385051,28.574308567090146,28.3069097886619,24.25930251937555,23.069468555767934,24.383564430795488,21.427809991143246,18.461592275655676,18.641153604688366,19.738794752071644,24.715169456493655,27.32833049069945,29.529182377577833,33.066207528913665,37.16541215003206,36.04903246841081,31.351545574233292,34.61377527107364,37.39622532344787,33.366647489765285,31.9966064478959,36.487028688375695,36.88597759506315,33.250783745305526,35.93526595936149,38.873221443245335,36.85338580029198,35.08765352788372,37.36453922726901,34.03229035596502,34.86296011256929,32.91336481166423,33.47622284820141,32.956874427143056,28.4844343420951,28.439303861226936,28.330102102570972,26.369527506813444,22.920375927730866,25.448204442244332,24.28489451061899,20.250334786769525,19.176680831774945,21.893248322269,20.597914989361662,17.561673241700912,16.541296720790342,16.933640034856033,16.113644497429718,20.664291893603636,19.158608361688643,20.39401138164869,22.440000653547248,19.18365385671676,16.50129135385465,13.822166432576829,12.672276555814626,16.13120056333792,17.50995911664917,19.17117596888495,20.133967878171447,22.556768110733067,26.308641735980856,29.137865932225385,31.080779783493774,26.807920050911086,27.676154239006795,31.808380750006492,29.59533105587661,30.11992645312587,34.333331552469566,36.8703147957966,38.24579551917536,40.53385341520531,41.70695339157039],[31.491896079515957,28.676069682301566,27.28432357890043,25.59162783439536,24.00143966254416,30.021402715968048,31.27547270495644,35.08757193560429,37.302784305413425,37.663159240904555,41.443407663831884,43.436378103045755,40.38753168214048,40.54820123224862,44.951927030694506,44.556529610127754,41.07592206837513,44.460023760421294,44.47982856882389,45.01575951173636,47.08685591300056,48.27303080919046,48.824883861360455,46.23529467209935,43.74228880505091,42.28388461823901,40.239785879358294,39.13479348594389,42.19261149074339,43.209955518020436,49.15541642520027,47.73939458501387,52.31115609385035,54.67511024455631,50.73771278882695,47.91854648854345,46.02327798669507,43.78393380332413,41.00194558172258,43.3529787963788,39.81928842716384,43.91111949600167,46.677752295306746,43.829512222226874,42.666502528418825,39.42126241846998,41.243443564965105,44.10349933246066,40.61585195894775,41.86862376794387,45.053677036940734,44.69723234366174,48.358348611566946,45.319968866918536,50.887586260853254,52.86547606723195,50.614737920032184,52.70970321223641,56.69359764217006,55.62084083895094,53.58869752408155,56.91870524178648,56.98261072397001,57.840394501520294,54.033638653518594,51.56750671165151,50.8343454897048,49.76847813847697,48.25449401345646,48.44107807788922,47.472597410833636,50.64592044076738,52.33467360034393,53.441733528909694,53.01648791043535,58.53449587863069,55.0563452928227,58.54352737023245,55.674979341754224,54.27452350115948,51.94195634881317,48.76110072543148,47.37944884421144,44.865761897815005,41.6826586814398,43.904104766220186,46.80304764297558,49.493940114177676,50.329117227104305,55.436769703999964,54.459786822227926,58.67311767520668,56.47280013685936,55.16682006278337,50.94988367092368,53.06389653253307,49.15921285412862,49.86213745892662,47.26560568994678,48.75608604984706,47.372741968788176,44.56533694931855,44.199502121358364,40.292736858532535,38.73767257206462,34.40293153163164,34.39458226413293,30.497248070233592,28.07965624980001,31.92874567839697,29.51313584533769,30.628266876578984,31.957825545563967,30.63058447700027,34.36061687660145,32.32566843638319,35.72539024507686,34.00561291096293,39.804490698019556,40.80306309043983,38.877392418138506,37.368235823563666,32.98161883783801,31.925852230339377,31.200097916813593,27.270140585346205,26.9516154420775,26.504515974723613,25.932803053418773,28.730768653561476,23.178933606233315,25.67489947670888,25.752441219392463,30.33356574538671,26.017552821420242,26.460233541224987,21.03121815674623,23.771961848130974,25.257260551833426,28.214497629818332,28.568276878733936,32.612886133328814,34.983658195418194,33.10192582481034,35.61594227544586,37.50845433000673,34.78217233775718,36.022680630287546,35.00695952306869,35.750654019593235,36.303941463636235,39.490617684147786,42.470076815682056,45.40977440372679,46.72651854575502,44.90753962961681,42.41045929661459,40.249026735227645,40.636631426592004,36.259183535232296,33.39241426395488,37.49257760349762,32.82083371090754,36.47807207197588,32.48393363689112,28.467710927556976,27.41516255794216,26.095778701211295,22.372910949906068,22.73344438840146,23.886427096617734,26.72289429291114,30.738385615487342,33.918195997846304,37.33501192982284,39.66074395450718,41.48775396911677,44.751292730553466,42.015394756466186,41.23274321162248,37.15210929794505,34.505641122289305,33.96521810832679,33.86961068408735,32.41502375606843,36.89249178849726,38.60300660239631,39.21389100280592,35.98458569731601,35.19476202419958,32.656419755262476,31.979578348743743,28.40693113133583,26.035475331486456,24.592506270859044,21.889677525454722,19.2823395769966,20.859502198442993,19.35082984058651,23.399149730253335,23.910046014126404,27.5604284194971,25.599177001654308,22.53265899032154,26.292256028452258,27.91265442748064,23.07785750902649,25.09766054940074,30.57995235084261,29.059807497054937,27.717542567199125,30.77437237735184,33.103481492305605,30.756878689451824,31.012433888980983,27.51874539010027,30.973594446747708,23.741558021592887,24.829029092514023,28.37999545448224,28.032381532280443,32.14400174225189,30.873623496247163,32.53228314649076,30.35643617532018,32.25602806752497,31.45678142516285,31.546884733729268,29.245485591463087,25.39013927779998,27.00179858747698,25.793524466516747,21.93852257816253,21.452295945105874,22.39171837012909,18.57035837226944,16.271720054434358,17.569679664148456,19.16277286505253,24.536968138884287,26.57726494082078,28.9228901871839,32.73281464557801,36.749785839135185,36.267645547321706,31.57965793121659,34.541523489706236,37.80605322111584,34.26083927257387,32.520135628881505,37.036469610322875,37.86343687124975,34.23727390382995,36.25572713489393,39.482848944257846,37.993318176413574,35.6561248850657,37.43769874584268,33.913135842803975,34.38044250690938,32.559959987297965,32.416706684860955,31.937595392685306,28.16240704327259,27.5025053899475,26.844084316271843,25.33563593524369,22.07547323972279,23.374605066283937,22.17717580270902,19.12425730877513,17.48765496805572,19.06271830101277,18.014372042716357,15.829466696158711,16.269336997184908,15.515587984798827,16.176792003832173,20.47795917329212,20.37475391533861,21.50097334178324,24.48830472578155,21.58319550763573,18.624908090676985,15.379050376806918,14.227553177879296,16.784582417051617,19.608186466662875,20.88520838971522,22.890684609618685,25.183237387856316,28.540257433975754,31.190244777920007,33.77458238835053,29.720412913282296,30.346797350257155,34.6755421137359,33.02315209856844,33.46004038140427,37.58794588129171,40.283252515715056,41.59602407152081,43.846686313379365,44.83114534146213],[30.216865405287372,27.18108524116909,25.439446956204133,23.512897844724016,20.974691248233743,27.184679962943623,28.04093529475972,31.63900889065455,34.090839414345744,34.309712462755385,38.09457604960554,39.90503179673754,36.67452189815754,37.17136671358129,41.36990353639235,40.75365876376964,37.31572076129389,40.67676769721443,40.853709593246926,41.11181688106496,43.31071459943799,44.36865871377469,45.12997493474397,42.688486162722775,39.991786318310595,38.61850307342535,36.345877074487255,35.26243226468375,38.21516081399845,39.14142417115322,45.27056030696294,43.6595565308364,48.25380169993251,50.551080952901025,46.544419042302536,43.79561779117079,41.74767456765878,39.55943121267417,36.76162048438722,38.96538520273787,35.66181799861691,39.85874452878835,42.5634433861544,39.827115265316266,38.8865684187136,35.66752504535725,37.63420152522662,40.266222481701895,36.58097295144992,37.98359716131613,40.98885058662511,40.49001703842804,44.09689397873627,41.006868217284264,46.48929894095016,48.58853518773817,46.404937115628876,48.39665832243109,52.3894292029805,51.476840827152856,49.48353253686798,52.80559693857599,52.87356811564215,53.908074671139545,50.08609470566369,47.53300474908469,47.07530007680244,45.95054460979401,44.73551428954148,44.93540158336209,44.17069705979213,47.504479506038926,48.913349321268406,49.91952480670134,49.255170067765945,54.66333604499472,51.02701806443199,54.41468580111881,51.44791346051643,49.979946924567635,47.53025994764694,44.30061162808237,42.85631555760766,40.30128042785524,37.18658622821958,39.46614574520276,42.48164577506096,45.117936243707774,46.142885308789495,51.225408366398675,50.42719859360552,54.74330544167721,52.60454205894635,51.27638602082649,47.15216682066059,49.425178451636405,45.63092268779887,46.0233689190315,43.448071882450286,44.92766184950396,43.26842023306507,40.42779310994336,39.872574548320074,35.979065846760655,34.24296086200893,30.015437582992266,30.05426436242602,26.132621684640522,23.897966393811235,27.771769195715912,25.5887488628037,26.499431376099977,28.148078550639863,26.74300977928571,30.662525508457403,28.74622808713787,32.09037152458199,30.55620240528198,36.389097427643215,37.258629079621564,35.57973766623024,34.05412117616725,29.855510109359773,28.670999471424718,27.904721285859537,23.607073216831655,23.338128944580184,22.45181292715956,21.69517638794929,24.25828072676645,18.710671211489014,21.24465888586818,21.194147457643137,25.759149230400357,21.433747804499323,22.010797366970113,16.630721502479258,19.714047606347904,21.59012113265149,24.235616857735355,25.041873914312024,29.02203871192686,31.25693766845172,29.210460992331434,31.535555695751686,33.40216949124349,30.746837183259252,31.94735655659033,30.86437156718537,31.875741250630544,32.39962774742481,35.852445602922664,38.763162037283905,42.03548737979723,43.1352860541717,41.06718268907941,38.51062989900618,36.193855585455786,36.500021457780726,31.969345838617087,29.022774990400933,33.161254799239344,28.57064002722871,32.101100510960805,28.121083099097035,24.348403291506223,23.078951278242272,22.06164542255739,18.167379501146584,18.57024874924239,19.472307124720373,22.396213150245238,26.252522111761564,29.39216751588609,32.823871453613464,35.14524379065668,37.09576196176021,40.23471840804084,37.467506964798424,36.64106165978999,32.5754570846979,29.936197137745907,29.36966481732594,29.33493282277999,27.87365078431745,32.43927218177565,34.21968989932387,34.94560721981884,31.983869534040814,31.06483675767932,28.601545127025656,27.668616945818357,24.123943390329796,21.62955390005956,20.17865680515273,17.597524648392305,14.788772310361257,16.59173196272445,15.386365124626854,19.37349663187875,20.390385160077727,23.937124988153816,21.946725743764773,19.42359477481315,23.357632339105308,24.884709845587455,20.516631778449412,22.832250908207087,28.057806533120676,26.708194145936325,25.866151588241692,28.98917723034838,31.013500586385145,29.0992207386023,29.820848671257824,26.38879703008394,29.89712574050789,23.251606357084533,23.600706771424505,27.194615456118047,26.978829762931735,31.493817991653525,29.947735978945204,30.907927301473613,28.337327966794337,29.92828941489058,28.553994533870032,28.88143668608985,27.10999701121798,22.744390704555745,23.989136337145645,23.416671465035108,19.69049789170399,18.468985766717385,19.350891930628467,16.47125423859137,13.90509877509273,13.876444183193891,15.744732580242808,20.587288527536757,22.928009032756663,25.53488558147148,29.0749363792111,33.291208545353555,32.446472067752815,27.849734595459267,31.256530571862477,34.28184151502202,30.639846288959593,29.332382440463995,33.967757685949564,34.762114281377904,31.37295213773645,33.65598230082088,36.87834537837625,35.475867779712424,33.49041799850053,35.37020068192492,31.888684471129025,32.116299925954465,29.86905822859636,29.991069487864404,30.034302753267983,25.941093479382037,25.04463326806181,25.089860690986622,23.69334312488252,19.83107043459821,21.698302002560617,21.32218946412233,17.799743686754557,15.606862117231074,18.24171017791407,17.954243699765467,15.437691353204011,15.538782381295874,16.245949695057107,16.757015925735672,20.659075209425872,19.84128453972355,20.070583102256524,22.66408494197557,20.37494948528256,17.109891523707045,14.443845812208853,12.318059367152111,14.294934856553457,16.43017862182287,17.06198385594702,19.081466640082763,22.18059562201191,25.1563035037613,28.097902797897277,30.303486254794027,26.439396432531456,27.644958729271412,31.847420328992342,29.906026097826594,31.087913349132304,35.059693395168104,37.51823571933317,38.602010566473325,40.88058447956756,41.93682393602792],[33.63034874244828,30.52957763519483,29.073214092900585,26.16007892213618,23.701461310847044,29.714820211807982,30.05030662479331,33.82279948048461,35.84511996710532,35.41767242790095,39.15381921628183,41.325150699056444,37.57719328550351,37.71868613588354,41.84572055282624,41.27256375375808,37.406000058965496,40.34349115250784,39.831291295060154,40.20616929332504,41.932010223358944,42.85023888825264,43.241147466475724,40.50017508574346,38.182811937731174,37.05482076063727,35.23274651940959,34.6286924481172,38.01973037162649,39.51106635675076,45.42961932155088,44.37511113990244,48.993698182677505,50.896166136972674,46.845432978110544,43.72989560687769,42.14275575470646,39.23274334278142,36.224916241029014,38.364931591363955,34.51985293650963,38.647535322531525,41.214037792314286,38.12793349502314,36.722762121854686,33.40853896537591,35.03990008311401,38.0932746258756,34.830650270043485,35.8847633408666,39.2428008275445,39.0815329174889,42.79051556142987,40.00225254473175,45.65974843760281,47.360151502816535,45.21725043214215,47.60543690207554,51.40302626022854,50.02414552566396,48.136890860965835,51.653958817937756,51.98098914385458,52.52688199301412,48.63467149296579,46.45705700093913,45.84627249441205,45.18098801653799,43.767087292496036,44.4248253394029,43.407837589066254,46.604334000752836,48.23453459369901,48.8909033629079,48.68647670276752,53.98553064779361,50.349309445958106,54.01982625316218,51.05595539699769,49.436748909502434,47.43011123867222,44.086457287628114,43.27909757477781,40.53692912718294,37.11548197336068,39.574276522915525,42.12426314351358,45.266808229692366,45.790670390735755,51.223236485999294,50.256854773356274,54.478629859120154,52.60363493417539,51.632043268918,47.632561132516415,49.98736198121385,46.288661057640944,47.00614986515906,44.753907267554446,46.78939342365809,44.66621602702471,42.395549024419594,41.26430528862387,37.916811606503515,36.00164164404608,32.08514619724399,32.59692131270636,28.692687464838087,26.80198480462449,30.513993970294464,28.333386349206574,28.41250761063208,29.887305745139958,27.77326231710025,31.205824903304276,28.74915487949317,31.675153004229035,29.489062523460124,35.08725133613902,36.61181999100078,34.92078880757076,33.87080115221895,29.51310565625174,28.94228641566731,28.885668879540884,24.616944785967267,25.556390908713052,24.322557857079058,23.91900976763314,26.171688480098872,20.904395853604974,23.593739643309263,22.60384990781649,27.30564456038056,22.43818561525052,22.925521664937342,17.73540243808651,19.828851972448703,21.169654607935236,23.851954936434907,23.44713258102537,27.077820701976645,29.879584530615293,28.363305687264074,30.770477165144165,33.21321669236591,30.754586912163106,32.592602400950554,32.065201206088986,33.431600650983384,34.58471071986905,38.06034546496892,41.322713187117564,44.71158727680151,45.37762171433623,43.16539813806886,40.23961752740912,38.15319700977546,37.833309987956795,33.58529030042942,29.886294735953136,33.47865365383314,28.31456780519388,31.821773749223272,27.491458348403263,23.070338603330057,22.281824159335116,20.437912968458743,17.102150158249124,17.49872193721634,19.22305892255694,22.146856568579746,26.354250236221365,29.829882533126092,33.41989081672685,36.21972384444415,37.9815275422897,41.30386747391041,38.04152870846763,37.52117859806058,32.96658704366336,31.16445601460398,30.267239662369647,29.822164330570246,28.04824504806676,31.984317665288923,33.49133770756567,33.78912560722858,30.155660221540096,29.685637216593438,27.24238553821912,26.950330976791925,23.719697777471918,21.817796181403832,20.94855122684002,18.982157965767108,16.55695020226935,19.296427196877257,18.963585152341754,22.78898261471467,24.437274403285514,27.846857354760807,25.706267105827354,23.77565969161079,27.84432068654118,29.145139976925552,24.875949633727654,27.535694451907315,32.66193964527221,31.061542942417955,30.420481194706444,33.699031736212675,35.447218067591734,33.40277741017295,34.422857902224266,31.04210409923851,34.774574000633635,28.142248857700906,28.564923045474092,32.214024403993605,31.989786423427713,36.50448377573186,34.84255606557628,35.69083528891704,32.96862619080958,34.294043337310136,32.70027501295878,32.7698416467123,31.31762199102947,27.08838921347543,27.822051613099564,27.112327712170575,23.822834404556083,22.366527531544897,22.528951846422043,20.042036826630536,18.087089617052833,16.989507941879324,19.809333048302378,23.84681572933979,26.378924014126532,29.476379942392416,32.70173269506847,37.15201106377369,35.980231525464596,31.566613372894967,35.42057749946099,38.22051642816944,34.476937422271625,33.59714782952834,38.2919877693579,38.99001563027006,35.73771398277625,38.26311586564457,41.430726448387716,39.924335747888726,38.19724480814848,40.18940180839306,36.745734345260345,36.90767179760908,34.46575934544352,34.63327633095992,34.92591192961674,30.76622771167899,29.720441970601325,29.96436612965418,28.665243683209518,24.647317389582795,26.41783125470087,26.248043845734305,22.800695317105884,20.39884512336242,22.883134149060762,22.73905533139292,20.36330792824424,20.380300852722314,20.858083695315297,21.07529090479939,25.29831052959899,24.17639623922142,24.62899855632096,26.80169192822432,24.219359929439673,21.149181673699093,18.643491105510464,16.615416644081414,18.90451480068314,20.23003245873658,20.56818475067868,21.941962630718717,25.743659636577554,28.74609393435227,31.95122630662475,33.52787178102259,29.63804327978231,31.285571609774088,35.29920994730942,32.74586589994968,34.27845762195518,38.29338419246382,40.52861192217336,41.57183622875657,43.85972929593486,45.062261295756535],[30.119551409899234,26.877818833927268,25.327313538054504,21.946709531007816,18.992036467054113,24.924497131737745,24.96249890482939,28.676870391910096,30.694973800136456,30.199621924669646,33.933408864531124,36.048706913880764,32.29290237941019,32.54323866577835,36.63627369209326,36.03773662361651,32.2633066320924,35.347050292228346,35.144997098735594,35.5241010349244,37.52195676475592,38.65696028190208,39.24402187830009,36.74019297817059,34.145472882398835,32.734678922942216,30.67783200979183,29.77369313515554,33.00579019488389,34.35084257681429,40.287285137049345,39.15371716253657,43.76490417486541,45.773183545585454,41.76896468242352,38.73521975046443,37.095841685886114,34.43523179221903,31.57664997677363,34.10361151376662,30.30450559077323,34.32005749931751,37.13192080529408,34.339453767807434,33.237161407231746,30.116770476670254,32.175531639224424,34.86439496620921,31.366207850034687,33.07227408843276,36.19868237441611,35.683874164974604,39.242598234138825,36.09494567867429,41.81542597742673,43.64788039806193,41.30350521053591,43.4496114347209,47.403264149969395,46.29107977360706,44.07936571444419,47.3554551117622,47.44806536151372,48.238741486600034,44.4344336746181,41.99450689539256,41.32555679623881,40.397302189012926,39.054957125481906,39.50808738302048,38.62656095056965,41.92998032878887,43.40279522783147,44.21900651105995,43.799126233339344,49.186096390629395,45.607449122719494,49.18764915012133,46.303396301909196,44.87228774767372,42.76798310581831,39.645655631522445,38.610043486268275,36.16032075136517,32.69338372859339,34.855333392726564,37.47075485646942,40.41601410196649,40.97391759056809,46.266961977998896,45.26814661833719,49.50077334981934,47.51442191612811,46.44486645518419,42.40944859222337,44.75821552762798,41.060642293080114,41.713114249558984,39.4463641608915,41.52049328542132,39.41522490799818,37.249201815531364,36.16457614254669,32.92845307305192,31.334697131332113,27.2956385981855,28.181311054848276,24.4802098174252,22.380997625317214,25.838172928760347,23.455085801496857,23.275338450536815,24.635472079689883,22.485330912005015,25.963977452825837,23.631166426477865,26.689198789149213,24.806129733268396,30.548485554170668,31.73544590272413,30.087082588639433,28.87076734663747,24.62363950964415,23.858737260536003,23.712412528754875,19.352837027535198,20.45624300217332,19.16228821467805,19.01150584902922,21.527298607213726,16.54277616751409,19.833167853802923,18.89273665365752,23.243290473429322,18.09101548571333,18.032882411245996,12.794179073296554,14.708374109376079,16.157481262949023,18.91767009933346,19.095736813693104,23.064926686617056,25.431430929721408,23.62442973596509,26.10809174913811,28.24785048581278,25.677887139180662,27.372561326815646,26.828409803031636,28.148276888453093,29.41920564857207,32.87402907183334,36.2370637270713,39.67201633011457,40.184351085609705,37.946795792943824,34.96800031635344,32.9653051732356,32.59383157903367,28.480932222537458,24.843061712229975,28.508497881649106,23.513933104315527,27.24261638928391,23.31120333826649,19.06735448038937,18.59631054121865,17.557759650813484,13.925657232320491,13.48333166004922,14.968082018247486,17.498447834983892,21.85138856081603,25.22741737022354,28.683935599921025,31.411030574431244,32.956032243884366,36.48880203956766,33.40825366486375,33.02478837548923,28.68856963357444,26.593757598647972,26.328171176787897,26.325769155507846,24.2711733451902,28.269503339925873,29.501583123534438,30.47458800687144,27.09118047612226,26.86518565055931,24.794989357001548,23.94711891662551,21.040411392002646,18.86920832408083,18.144467350111395,16.59347023586075,13.303243669440144,16.24521310861642,15.781626808350888,18.95348374250035,21.421344333876423,24.273865449447182,21.713577184459226,20.521621970753767,24.83076421152179,25.509981693637343,21.465948794073114,24.680178465734596,29.514451413574758,27.53847513822739,27.36899468609189,30.830074981349984,32.03854436637568,30.143699450249454,31.75925398093643,28.566497958037115,32.589504312399384,26.6994438199938,26.677091194780562,30.481120868987677,30.899884879983397,35.703361169547,34.20529342371104,34.52418170655758,31.671142345152234,32.95644122868957,30.78608389590376,31.549614993155444,30.50007830922761,25.504132582809426,26.251818485831816,26.595682109943077,23.16817951403107,20.998510379248977,21.653636964173998,20.185388066341115,17.540778949681176,15.37217206085421,17.522915821712136,21.023127398268254,24.03447930020405,26.93580324163603,29.857201961650752,34.33956719740677,32.628423239569315,28.264752918407176,32.38536384141605,34.747298982151115,30.685508680148757,30.202747937064903,34.86461954186868,35.27941572154424,32.16291292628906,35.169364640251175,38.12370265943128,36.37749023457285,35.163097446651484,37.463471430594986,34.203269136762955,34.487519084255005,31.829518774400093,32.59504622635333,33.04420320033688,28.36559867047969,27.67002398489158,28.562295431520972,27.028750336565928,22.747440425797933,25.577240842454334,25.73236936892521,21.551188894755846,19.410815830503484,23.027302081282514,22.98354665685778,20.010826912111227,19.080052630332265,20.888018469406394,20.369230385187656,24.280434330710644,22.151753200673287,22.054469370637843,23.4702082708893,21.262399434180466,18.23886126413424,16.530119441027747,14.017024594627687,16.232518749041745,16.260803601034286,16.446225626856496,17.177864771384687,21.42414308652747,24.347962336428715,27.742105784846817,28.797659235467947,24.949016547070514,27.012468656243,30.809237928003423,27.897143142791883,29.893311955227393,33.794076024030474,35.810778539780806,36.74457056338594,39.0521085861492,40.363850500552815],[29.09211135373156,25.917422517853012,24.92901322762197,20.627593226930706,18.663408010674654,24.058274809172204,24.084171483456217,28.18913930594158,29.530738765604287,28.808825385116133,32.48803219093627,35.0535070979821,31.326060472031077,30.905077664579768,35.25509366741965,35.04573238435861,31.10770336534696,34.15861703295197,33.69644652818976,34.656828992820806,36.50277367461727,38.071177009431764,38.33060715896327,35.73972592461222,33.38327750673339,31.580705661889372,29.9213052631547,28.846320971609696,32.25532928427917,33.868647846304754,39.325288657543005,38.755650668745055,43.29991853474503,45.320757676809784,41.503627042402734,38.27824746027189,37.11366694023518,34.33609113444199,31.64072670087652,34.85656039390434,30.49262674063955,34.053149857198605,37.18621957490115,34.429403241106655,33.09808881142081,30.20135817789272,32.33396701497958,35.1266980835638,31.96848638531529,34.03668988708154,37.3179926160181,36.766940130988914,40.23966117517291,36.92258964475234,42.904389620915694,44.43762120744389,41.753198752161495,43.98306609745902,47.97324845373006,46.688346691431775,44.069159781518266,47.116214021576624,47.03445517200374,47.56809575184132,43.89798909276481,41.4916739197538,40.176073061433854,39.266705475151824,37.38003462168013,37.795693652194004,36.59136088621984,39.65747711437732,41.540075561859396,42.53917772298838,42.517481584429596,48.11878003791835,44.9151630337381,48.67996742676776,46.0945161632282,44.95596299627258,43.1911622423009,40.419232621221624,39.543399194127396,37.473321640364375,33.72918236799407,35.46591515815299,37.671626327400475,40.693125754263896,40.68203687431818,45.98337109934786,44.54413043119867,48.53277137360707,46.45841994281418,45.509422221533704,41.35985104930099,43.46424947871105,39.65145800378866,40.93985347678575,38.81962487730045,41.27556364061602,39.407313499787364,37.767413854496844,36.75933712623404,33.9629200336168,33.00460216249059,28.845634179717067,30.3112583286154,26.924814801159147,24.45397955478345,27.470251699035057,24.466730883062343,23.917323723416352,24.43369336925816,22.037381572604016,24.88955243695706,22.216325334498663,25.290814924803787,23.11292609281433,28.793595891694107,30.12248289659588,28.06951452313262,26.940137438911748,22.40503095682062,21.99603163480485,22.228016115212824,18.541405792561093,20.39959862797669,19.703432606619668,20.365625302325615,23.419119583815952,18.98422488450728,22.84046181540986,21.848483401594216,25.792534217082427,20.273800825065482,19.285545041131606,14.282159711225361,14.691014349470576,15.04592607256369,18.512085308950887,17.903844508796574,22.17519323732915,24.45608949777358,22.91086672283422,25.85311637980847,27.891455494416682,25.192708170104044,27.078753142688093,26.942380284021628,27.88285113966232,29.693297780791443,32.65337432218908,36.44778618121525,39.46287225518302,39.871731335328946,37.93857721196381,34.79995787812907,33.3166428626192,32.68305009623883,29.216889461394008,25.50068137221191,28.828150511374425,23.744389664734445,27.882391821742733,24.37732742792085,19.780919542687688,20.34715272112056,19.395126785122027,16.200189887323084,14.752725517173099,16.648960216434634,18.347747042007242,23.14128320533185,26.513008138063903,29.76706607236259,32.598248593844566,33.52897877975883,37.59450358172903,34.58560265487628,34.60522171327387,30.360384011765294,28.331996345665022,28.717191405302465,28.9433311491879,26.486056398382864,30.018435878120897,30.620222582258258,31.995281150923518,28.200050652749905,28.725029907387025,27.03414055947788,26.265424930541965,23.89475744411499,21.92502713657209,21.577656633777238,20.446695375362516,16.851663186541508,19.834350319170593,19.0381698732925,21.62715440323732,24.474765735494454,26.861153663998792,23.795739567504118,22.853590986570033,27.32198430978268,27.332584301106625,22.87002829707503,26.539606992879825,31.408183344964467,28.588420479132246,28.397767439638137,32.11985966415425,32.94602061849804,30.536425638203962,32.451448333860235,29.398053206010292,33.8880246109513,28.086396342495537,28.483910773865805,32.50770592612238,33.509629789499435,38.243266070513926,37.17769075848754,37.702162483070126,35.062071012078654,36.58931395567467,34.39169853335668,35.493450486864084,34.33784375369313,29.104599215515616,30.14358142253986,30.71771752175433,27.06643435365425,24.922464885850736,25.879326629419523,24.319284655246232,21.398919044032674,19.48648577332387,21.05372319197015,24.589677842003912,27.77748428855086,30.364549022913707,33.22703659915954,37.60852270721357,35.638579548359516,31.25544990992083,35.28643501962098,37.39452576643386,33.03316901160343,32.58351010124211,37.10567172770117,37.180655998759015,33.93688176467827,37.29900760689345,39.99867173275344,37.76599748905274,36.817176632682724,39.439769085293314,36.32560094758513,37.041872406557445,34.57272619974113,35.69919515840228,35.782593569014495,30.81041480950567,30.726868112708285,31.559989827379454,29.639593975609447,25.631041421849165,28.93382261918649,28.594912984491828,24.060252262316883,22.637513977840722,26.32762438433967,25.669222696899133,22.360948498600504,20.70074182262823,22.397248059758713,20.99694573385555,25.215678275072747,22.49490106467649,23.006643620173307,23.833175257337068,21.017543463437946,18.529536732509502,17.0495981680957,15.192651268925603,18.313001901967244,17.61178107484523,18.529942545922445,18.24638219872743,22.011273544224732,25.470347781940756,28.79058689075117,29.460237598749536,25.343503388802432,27.258844183977544,30.885272395803078,27.614552669752932,29.23223448524282,33.26962203904198,35.25108783445043,36.381827342635646,38.692185810660334,40.1364016972706],[28.62522414153993,25.381353292219952,24.3911658401266,19.346426740866658,16.815251054248694,21.702866130156366,20.978680868089654,24.947841034148937,26.04966058720507,24.830152309810558,28.431719255745794,31.076142794997637,27.031293625630596,26.592255855505314,30.782044622036093,30.52044503511001,26.46274040653605,29.403080685107525,28.917760578932473,29.897180482171965,31.795692139143508,33.48909712579634,33.802795741692314,31.358089916608154,28.87424078436309,26.908447717306082,25.221565667458112,24.089987706946967,27.53735227735347,29.292467300811758,34.649497826841674,34.26906098648165,38.793449201567334,40.68350050200678,36.894214289637986,33.58877891157449,32.60596027858532,29.728546407129972,27.11129394833796,30.653399813680018,26.14195856153724,29.50030440084822,32.78795487945389,30.212217990167787,29.01600043961844,26.33743666740746,28.749891751541043,31.285292881421245,28.125111557678753,30.699735549830045,33.81504235951642,33.03189604280636,36.342755211005034,32.85851159002091,38.909032860265214,40.359700809331066,37.526260009131875,39.69495006288624,43.70382171236143,42.49352802702943,39.639689090357436,42.524076517112825,42.34225925650382,42.910432053453356,39.30681255815984,36.81598701599274,35.42352627323284,34.473746522146705,32.62381196095226,33.0795617319311,31.931550088553013,35.071035912130505,36.83680715174029,37.78535561718559,37.72899104490774,43.320758999799175,40.14737882765707,43.932692644322536,41.41511810790313,40.380063421212256,38.733408394844446,36.148519450569005,35.3689842499363,33.52775719958311,29.6447916515936,31.141183080548,33.15336877953542,36.20237351437329,35.995592685620906,41.306497253475726,39.794290032873604,43.756505517527145,41.731495536910124,40.87012237492684,36.790776366846444,38.966617717825436,35.25361849118458,36.56891606381188,34.63531562228531,37.40558872187658,35.25697367165929,34.046238404241485,32.74572077280173,30.416244372350704,29.67816989267229,25.71912954261193,27.76527333861334,24.73003208140417,22.401979877995846,24.921210696962135,21.896202622593794,20.548366302788505,20.83843453144338,17.9809615778407,20.50234702558155,17.652676891381287,20.570141576469158,18.375693104713598,24.076008238894104,25.376636981070583,23.42172779956054,22.40137200643597,17.95817231075768,17.73099984788379,18.359599611423423,14.65388354403124,17.53141482551828,16.520948111155985,17.667432993339183,20.602168626405224,17.014007148413064,21.215539396273204,19.86168801520589,23.244308559279197,17.487956061254838,15.821856968766848,11.479266463167686,10.563145171241505,10.460159038359656,14.013854055186398,13.362090930901678,17.7819708074587,19.797164087330714,18.234738570293352,21.275544909379256,23.266565145786544,20.60481164043636,22.69556309600527,22.89235862774944,24.022804111800426,26.29242947914459,29.23050027907388,33.219710388619404,36.38555654881755,36.35520534544046,34.28145479066919,30.9180562624226,29.644566754224375,28.591567482553618,25.488351382988803,21.48690954855851,24.473916813776892,19.36763085658741,23.646835237609046,20.526589098568174,16.007433735070244,17.272275485435795,16.908127123920252,14.076827604427105,11.619476604652087,13.541829101997898,14.464667740176514,19.405868160195954,22.715711297301926,25.807620885179787,28.759432905279493,29.351139676286913,33.6435819399481,30.60846523577632,30.925905296872983,26.76675000501965,24.955778871536975,25.809128216613317,26.270622924326712,23.47030682474054,26.598106145554375,26.736828929112793,28.588712903007835,24.863621053629927,25.850088692387402,24.64649150960565,23.624738839039956,21.893582941089083,20.08471484348655,20.208450143633666,19.850641597543863,16.078882727410683,19.30729057998581,18.908346971337703,20.608970312665743,24.29039747435828,26.01619354519856,22.707149853760008,22.820381176163625,27.28880056319233,26.708482015917454,22.857355758287312,26.92452097657081,31.25286233366,28.21603158907506,28.61484451461845,32.39258809226089,32.59820585539522,30.46950847973647,32.998171928326144,30.223637842853318,34.83753059888442,29.874412203229113,29.795561378748182,33.791109189614964,35.171554136253626,40.07571675198166,39.008727905398764,38.973622132206714,36.160919078073285,37.44875104925375,34.71406326566156,36.20617310962298,35.57593387932717,29.972280703177866,30.71167894029674,32.02326443780576,28.60575593081013,25.90401995094542,26.864019211876148,26.283369790639405,23.289190892780002,20.308106085303116,21.67777134526086,24.13732128564588,27.63408014201685,30.208084705328453,32.54339894810406,36.95047416277143,34.402579407643785,30.314062334867817,34.69853230354833,36.25666410756349,31.709170956806773,31.88121483167374,36.29043140735949,36.09591308627117,33.17764847470021,36.97094781383155,39.42303802769945,37.050952501069446,36.709510126259616,39.55038380335713,36.67003211299422,37.354606633977426,34.619558531387256,36.204292480513274,36.62080134414349,31.364583367785812,31.394344564320445,32.85748379801254,30.932141148056125,26.732183396869175,30.619463544602564,30.753712629381997,25.927749041798425,24.512504612095714,28.820143578215873,28.480808314226856,25.00037771035252,22.883092052048106,25.45156648154751,23.705007072879997,27.50032144337073,24.057577784764604,23.984129813761683,23.92942344611062,21.666479400501604,19.426316550767275,18.87436623303625,16.704815169035292,19.34810300542949,17.20940858930373,17.62333228340949,16.33688922795457,20.794143104336246,23.88980753268318,27.420057896888324,27.181812828856852,23.309961436244944,25.901204112773282,29.058677928250127,25.1623468175786,27.55794532677163,31.33968081653773,32.9040196121162,33.82307000061152,36.128285514512314,37.74105269802384],[27.692031753043597,24.363862336967234,22.770937875015345,18.821163524942236,15.281270242937827,20.938834593197164,20.508798930641944,24.131990399005346,26.086126912059353,25.428679239060422,29.14159073164963,31.218909605571216,27.400689126819078,27.752068566066832,31.781345161643234,31.155344861931898,27.457038319294043,30.668418448855885,30.774575797047753,31.16987690830611,33.43578030625962,34.80236109274,35.576757960565516,33.34393591612608,30.483273265130496,28.769901608766737,26.492926761166594,25.266416652549523,28.32844768551428,29.54632365201027,35.47074411246568,34.301770470021864,38.90016619757178,40.98859213702671,37.04116072847706,34.075929631973715,32.4258644128517,30.007513515793118,27.33143224178171,30.30199023658856,26.54677634586465,30.373648018951684,33.43862974249869,30.98358999768345,30.2021954912765,27.350727354611667,29.83007328004747,32.10157807926314,28.432563490952813,30.829070342953614,33.668954862779344,32.77735232927479,36.1331763160467,32.64912537698599,38.41221434436683,40.320249933911754,37.76743075858719,39.68873317390712,43.76484839136863,42.9107098737722,40.36525110334842,43.36710633602443,43.21853176805589,44.236625522313936,40.545699393453866,37.850818681434205,37.10380279702746,35.91561231648297,34.6434964020123,34.89823088216492,34.15665933630254,37.557660138195956,38.86623961841263,39.82976457545124,39.20464315236393,44.666576504204464,41.164023125731504,44.65921032368006,41.873569461666456,40.65002973189282,38.48421607091706,35.62871986320176,34.3908315453666,32.288335267772425,28.764480781660254,30.566730145079863,33.1970228130506,35.94429766478771,36.490175406420946,41.639996187817076,40.58962920680195,44.817255705930435,42.73419205382353,41.58727203041808,37.52760087158659,39.876434253946634,36.19693236169315,36.80126351020468,34.55539533975424,36.73038899673379,34.60007706590796,32.62676545525425,31.539735611170787,28.514715267920685,27.31251404386311,23.201141130623313,24.595852255692392,21.22474694803846,18.949189162225895,21.98261672553402,19.378464187680297,18.745188840229204,19.916431560206675,17.63759752400737,21.103795564237306,18.883479464420937,22.052879066034738,20.513915408370913,26.363322663558677,27.187229293285185,25.602803432559963,24.23314955685553,20.14807211524846,19.201708397698816,19.02427318807932,14.562937318587021,16.06634322034407,14.646842407887096,14.916340520227232,17.70693094694555,13.340568398753163,17.286369690188685,16.362907505176565,20.10177108962259,14.698278051075123,13.824126949953948,8.741697893324918,10.083028234252861,11.597349732298284,14.447840147577104,15.321744474169597,19.60311294325159,21.413127563598543,19.303620589395333,21.87355299511817,23.660329895284324,20.97930316957226,22.54641892129184,22.048188136567155,23.343740546090693,24.83655492483945,28.25187094863911,31.755487377554115,35.25309149901714,35.531922942977,33.25083454301822,30.175551045322187,28.307679381107956,27.802510776512786,23.912407142649908,20.300343638903605,23.970781582157723,19.187211185861948,23.160866048236393,19.780762267661167,15.863587729432544,15.899820890140765,15.877799424891863,12.267700351257503,10.665943051060216,11.750131745761221,13.535223271532422,18.013078683234866,21.22549700930187,24.4798045250838,27.140707811261937,28.382935572470412,32.17064690164244,29.284751211807663,29.100017934158714,25.041518707218206,22.697169749501263,23.195140115696823,23.687560163864024,21.321340438080945,25.233013416209584,26.07857870259363,27.79068650897042,24.714728558387225,24.819952720397442,23.25080609471198,21.843637219565053,19.477490075597945,17.164671885803582,16.727515468039933,15.84145873501652,11.877389457655681,14.849947789173616,14.354179576334067,16.46493319760843,19.859848915643013,21.93573326087329,18.944062070601653,18.766099384332623,23.175698630835896,23.103590452481633,19.495848544196978,23.2382500254076,27.58781910466984,25.22606455113755,25.617452827007966,29.19528739796521,29.76169512375428,28.072994776582938,30.322767339221546,27.417236818815795,31.654817976002445,26.686316609047218,26.217975582566,30.059531049986475,31.091215480301244,36.06753279630807,34.741451329832415,34.53193958015687,31.601601624135466,32.79136195292628,30.078718278405802,31.492590325828232,30.886721805674547,25.319097421255265,26.008234677573416,27.342251447994634,23.961095144201206,21.202651985001296,22.240885018720956,21.797698598809998,18.768884667201714,15.692604789906282,17.026335749565206,19.62639493640662,23.04145193503326,25.670370068205525,28.14815486207823,32.588085181848356,30.29323735094149,26.09950354925985,30.464577545184714,32.28229881456562,27.924710055977247,27.946055253021648,32.48946654647115,32.577062064463725,29.67953347388951,33.18225035216606,35.85745517687067,33.869798222777995,33.25458115438301,35.85099912921857,32.844794520489195,33.239835876469506,30.391719964497522,31.76518525735025,32.38941518982754,27.293363180228198,26.964679696369544,28.50196187933833,26.79844514561988,22.406172157714387,26.146127538341226,26.623457988582427,21.9444980852497,20.154411977958965,24.592479900913343,24.657310159202794,21.329264308277544,19.582306641415904,22.48620946381978,21.33205395159418,24.7673408467534,21.71645889538261,21.040603895080725,21.504307776555166,19.815201453616925,17.03806844327097,16.382098388142765,13.586148557768395,15.48174296817326,13.816721044831606,13.736647198104475,13.437543157215835,18.247196239948103,20.980149073514358,24.56405723953285,24.893608264167174,21.159189178201196,23.76036249262673,27.206069784425413,23.81993482588601,26.411761804807213,30.121285612117553,31.844093694558403,32.63206347410057,34.953608980754716,36.399766390272944],[25.202618616446316,21.92120575062287,20.532445205223215,16.73580547693546,14.05935213689767,19.820683683371467,20.079005420754306,24.004730011436095,25.862635549696144,25.683705014227,29.45127490392126,31.601701004617183,28.259901679252533,28.35920888214107,32.70580998740642,32.35269036141345,28.8517006661996,32.34893305789322,32.693584087771214,33.40441620581861,35.80215724710406,37.46546943347643,38.198251555136416,36.00675587982387,33.17369883278872,31.15407707395439,28.910832920964296,27.317524880246374,30.217150202743966,31.218583587984703,36.979063735529984,35.78528796551184,40.333523478147605,42.72030434083013,38.91545981152184,36.070450732300195,34.399091865830016,32.3671493812469,29.896671323986237,33.18863532359996,29.444500711170914,33.08331803868753,36.34107067016228,34.01695205192254,33.2661153912721,30.515378891634388,33.043044990211655,35.28861308067943,31.65071482404436,34.16196341597746,36.9955204073338,36.055656017159656,39.36847293723774,35.71282762004598,41.486247819234734,43.45925787457451,40.75115919803549,42.52228860899121,46.71235852452257,45.95544207701579,43.213779378747134,46.0383678577005,45.68552504401568,46.78115457722145,43.18972479867587,40.36360509601656,39.31239815250743,37.89994277761236,36.361480939373216,36.3045689555794,35.4673962721029,38.76068858859447,40.265252926641175,41.573426216858714,40.96899086700717,46.63604652555262,43.37046542682213,46.81761635616951,44.19948854304526,43.20404032093866,40.97250576048831,38.32797531256679,36.81273210626872,34.963823166988284,31.50924091424451,33.02971141355191,35.72375242871684,38.2202996703277,38.75346942828653,43.700068237982705,42.48345472613691,46.611235067693954,44.296371674279754,42.985431630218244,38.73779892601572,40.840123464069926,36.96856660615135,37.81124653053673,35.382124228821674,37.353526944258846,35.79624223388536,33.654914902480755,33.10388886397167,29.853494197200398,29.111015055767286,24.647068491048024,25.906429193500415,22.597593397404392,19.766796230127884,22.800070065003005,19.70208049354471,19.707881129706873,20.434606820001516,18.65097922389983,22.131669330111425,20.090375062935276,23.62241162314559,22.292756150005953,28.21822071084892,28.757651132072898,26.851545779683423,25.187579013596768,20.938868086466794,19.74528010209023,19.173556600933043,15.184077175581454,15.9640257099638,15.446431760735988,15.91657376740325,19.3854721136171,14.890667155704932,18.94414412719295,18.69459495435868,22.31502380046355,17.159074727785864,16.006839570236878,10.783530015599352,12.179695404698633,13.350709057514177,16.67081723142223,17.730156432837884,22.30175129668104,23.84192408893597,21.626328901664955,24.405924852074712,25.79276489275123,22.891305047145913,24.098913908967088,23.396600327631308,24.084271586848708,25.374645340840996,28.432565853911225,31.970146287993238,35.032281700841914,35.707060889140806,33.79141046607159,30.919791631973684,29.188458330027597,29.073173036561812,25.317083063518066,22.259998986918962,26.15633457981014,21.694067575617424,25.86331063489482,22.809955299731424,19.016506223776055,19.128782840603343,19.21974042042498,15.512692451919156,13.898407908402707,14.793508713456223,16.33619490783926,20.767302849211546,23.779835501201443,26.852501423789636,29.23887965988844,30.312661285402434,34.25059550741132,31.714632039282726,31.49539477222592,27.747798440123702,24.902388128196865,25.793514499182706,26.52084201317728,24.25195679039569,28.339760275570338,29.143621296477026,31.071827717382913,28.052740779475677,28.162227221440244,26.55461918094285,25.072191915058777,22.57053704007405,20.06327718667469,19.336382136279678,18.013575135845464,13.843423272576405,16.189399809732013,14.769071609641262,16.94443263950065,19.876963639595317,21.978466910461652,18.77643217514589,17.959794095800408,22.450830684057603,22.246633998911616,17.921492432470135,21.718680574006505,26.415783073557197,23.62320223725028,23.639220020805766,27.341604922318048,28.046081431911777,25.911331996225808,27.989896234892683,25.01907257591246,29.46098810678141,24.201452578568944,24.17382261624911,28.177682471690495,29.487586290528483,34.342710278812575,33.375074456734104,33.595152691608796,30.973533187405085,32.56445490843317,30.19360732622594,31.7807732418679,30.71531537816249,25.102542158012675,26.379278109720527,27.584516260269776,23.768785619593572,21.401753227822482,22.96484392552894,21.842540718769804,18.420239468452657,16.49806536873252,17.035984482640806,20.58065813147425,23.85160268915285,25.998161050354092,28.839753210773864,33.05961386249649,31.034540060514004,26.59685188017129,30.484123050572048,32.493086866327204,28.05873229435303,27.577599203964407,32.046596637915485,32.06103071662934,28.830673680985495,32.283742775739285,34.92176832634083,32.6903800210096,31.857719020042442,34.543522887952456,31.51264653536217,32.27080161369428,29.777535665512296,31.185689477196547,31.27490414552925,26.11184073817621,26.269341480153155,27.395629018397106,25.361722864745357,21.32678513813493,25.22466666246301,25.064504343890718,20.196527449633546,19.059016185873038,23.36640970206364,22.815308097984534,19.24913381036625,17.104763508191414,19.816712903170465,18.258827741767924,21.90438010509347,18.772634784145055,18.622608900401634,19.231948840666373,16.98745170152545,14.305014505927137,13.403367478337366,11.060491860581703,13.81840550471931,12.57342375917145,13.591656203639205,13.329031820988325,17.01480901725264,20.391107662511722,23.699202859238156,24.538502689935804,20.44683053570292,22.383967813304356,26.083857538662606,23.048558788492723,24.8202403937115,28.763865703203923,30.79974013293129,31.867377589815053,34.203279770726894,35.59286335385148],[24.952182648060646,21.786712497452566,20.260444599640987,17.549418207251538,15.257716133191167,21.27741740088199,22.180254344666,26.020130790088984,28.17886986532774,28.49926726087451,32.28341153977829,34.22907303837542,31.24623020267825,31.499715789095188,35.89664805792185,35.532257473892905,32.243934301889084,35.87717262570842,36.405249176932855,37.02550613800294,39.50010666950051,41.07740633858558,41.889360687700744,39.68936580109793,36.83250377249985,34.89382051440799,32.54980044159523,30.916830706853368,33.667177572386734,34.42699189020904,40.30170980324232,38.81470577245928,43.34704904139426,45.90015874277144,42.08952676883184,39.41278029423721,37.49076049828488,35.7088122151392,33.23960435119605,36.269169608005605,32.80316558413926,36.597512009587405,39.75419395732152,37.406732946566706,36.695760713927484,33.820923854897565,36.25111426629901,38.546115138497754,34.79814199151454,37.04474313145973,39.8678200480786,38.99186650032427,42.37227147648574,38.78284030972167,44.420926313643086,46.559269372572956,43.97324562697461,45.67080982041884,49.8806301784795,49.207178765443714,46.6286360291205,49.52021651305293,49.18492493888607,50.39513642822327,46.774883863624815,43.91687563142006,43.00721068795383,41.51849418462703,40.05789744860297,39.87787857797615,39.097732978853365,42.39097384457308,43.87003430664497,45.26938776997114,44.543512195805356,50.20607207622686,46.89609433479887,50.2365173643158,47.556081945487215,46.51064312045556,44.077694004760865,41.32813090038957,39.59408173702953,37.62992274804858,34.38477698506073,36.034764440660325,38.97350511596079,41.31341972373222,42.13306591667548,46.96945151446991,45.8838114404205,50.05923606253162,47.66561618646079,46.20727482873879,41.9169082052073,43.96657251232774,40.04198637674715,40.72308435453602,38.09994320841107,39.6742468562435,38.40876482889897,35.815892508060145,35.60112299372891,31.90686335058026,31.023631195732207,26.429142616555367,27.1027085547583,23.59221131789798,20.65302000963331,24.036221279555228,21.07581996234376,21.877970041386824,22.849838701784616,21.588489703535295,25.350208094893564,23.5787596911537,27.230407891835185,26.059158734021608,31.995059678502557,32.40597746337848,30.49442170798786,28.67864807407653,24.48002121932559,23.059340590829105,22.08787022794755,18.172874777978667,17.912891115642843,17.66418355753572,17.62983784794481,21.100084956616392,16.08153254899843,19.66500234568077,19.94331794707309,23.82824819916824,19.13738262182699,18.54433670722274,13.139887593434024,15.521370244374271,17.028859242283605,20.158873502665134,21.46063232862262,25.964241869891694,27.549752627365777,25.245632816801233,27.892249038770032,29.18882311674188,26.27055848989621,27.19100282329251,26.13531448079797,26.640096623176433,27.40072682856288,30.462829705484516,33.69041697019316,36.626758304164234,37.71645970676668,35.92137239191599,33.33758267656384,31.38525345724843,31.72275738051882,27.6639449556255,25.028201928699495,29.22196146285296,24.95823451374088,28.962760990946308,25.759072864832312,22.13551582213264,21.66978083395002,21.587753407805263,17.626999190799626,16.70738115831143,17.37388325044854,19.37376999715438,23.51053759089566,26.431716168061673,29.539447283353972,31.695953375780917,33.06990084750595,36.734858331750395,34.35581617066452,33.8428374188075,30.19544098875268,27.044127692000096,27.65351351834212,28.305535864994283,26.398400265961143,30.866684154342252,32.06009281170034,33.74575009965044,30.893101830131368,30.56160286558581,28.637174551964787,27.1751808933194,24.204569246444287,21.494892407273575,20.308104794288905,18.312312411432696,14.335771113286084,16.09313445627047,14.125611242810894,16.966129102167866,18.973440724380175,21.587946307469693,18.709656335701375,16.885407168962896,21.25527925583028,21.60765766563357,16.869419146005377,20.163778376421615,25.258731232150016,22.796609330178217,22.299729705780685,25.863165684437682,27.14318447745346,24.904461575819532,26.389147622226606,23.19444557082132,27.418227893787602,21.535589152864077,21.813407211895854,25.798916924634877,26.810461701771597,31.533751322564907,30.59177085861344,31.235626162575105,28.797358539991638,30.62880748236344,28.7328202794256,30.10167095073143,28.574244121330317,23.239180829604468,24.883250460982687,25.59293444418021,21.518237061297178,19.667571465764645,21.44565061028927,19.530954009875618,16.004236410640203,15.283277028378658,15.58426618993666,20.116135563868568,23.031918215086293,25.00187990450402,28.288043469919327,32.37575320003488,30.89497933357741,26.246818583220172,29.695903445594073,32.16362884622334,27.960161267285315,26.895955270861315,31.39314979764498,31.653518185235654,28.18125855530812,31.192907817179524,34.02663834125214,31.97870026038905,30.608003983274124,33.06323478361858,29.85575150006108,30.63161825558042,28.403317037925397,29.438780014857006,29.218740618548487,24.32839488776175,24.43367192369456,25.026569992288486,22.981963819709573,19.168249703716633,22.643402553398964,22.07544065847787,17.407774926811353,16.37648562746396,20.26704106906806,19.43499848935125,15.938244833290186,14.133296423824616,16.335798934827306,15.158619920843192,18.991440510131255,16.55496258228722,16.73082660479458,18.234029795278875,15.754850353942874,12.767354219486524,10.994938463840878,8.838594334954072,11.859346242511576,12.18848622719357,13.642288250089312,14.43901879811632,17.26447786336077,20.76980211873548,23.782166611373476,25.48802456375671,21.33760276163316,22.615995660112983,26.669734091492217,24.34571146639785,25.47329672482953,29.51176730932945,31.885753825026132,33.07915652962344,35.39621484976064,36.597823908028175],[21.988957621439152,18.89581713091449,17.79443207775965,14.764334918910118,13.632389404009258,19.24070118097472,20.589481058963024,24.697369843252446,26.489313986606664,27.080951250452074,30.826307005299157,32.93613111972326,30.35935565148581,30.236672163013115,34.88542488807128,34.84606060409247,31.719530726310566,35.552201390908884,36.26882048878174,37.28440793462193,39.86954643997516,41.84155892774011,42.5808919498168,40.47998790967524,37.64790374457422,35.31111931731821,33.06180932447771,31.048101652605286,33.65052081475256,34.289801969155725,39.833097171187454,38.50786524056691,42.941342948162664,45.72698098837447,42.12322652810903,39.513576111184165,37.740701420959574,36.2793174941323,34.07489457225477,37.640439989619914,34.03999180938573,37.48941318923931,40.92873419279354,38.79013512273299,38.125721482339124,35.46939295555076,38.06833445543021,40.250630846854065,36.58869807955402,39.21053868793994,41.98929411165076,40.95753533618213,44.21439120227222,40.38458315515435,46.102997809739826,48.19902441346029,45.35601878948956,46.911977892041854,51.22499754072957,50.64281936353628,47.71450015831641,50.31667533584182,49.71103658732397,50.962558396928216,47.50363655544954,44.498529547920946,43.159887140108985,41.444771817340985,39.66276093325276,39.17583017933158,38.28159369712091,41.42688112428774,43.10994717685551,44.858900629734016,44.20611252758722,50.07467681357541,47.094083709191665,50.413804587591414,47.99117681925048,47.26772991420357,44.890788234571,42.49362846227345,40.574434816480235,39.02019510887048,35.732562324673594,36.941902561812995,39.77414941346637,41.89107593120612,42.51109289124359,47.13232289142348,45.777601364551316,49.778208806203544,47.16709048110624,45.60732918707268,41.162222878252024,42.92968424769208,38.85752680126737,39.903055044716176,37.216374958965915,38.77727130607266,38.031897402870406,35.57877682876645,35.78323040964865,32.18736196591662,31.97639119431818,27.14951503845055,28.08455611909966,24.90316920004449,21.479902371957103,24.471474737034885,20.927083839993013,21.90774403470903,22.169253931947935,21.2044828240849,24.67938579542023,23.022723105346266,26.898698209658047,25.92786508361326,31.83720468528888,31.958164359791095,29.73942584065339,27.703086799537928,23.445744365729524,21.90476886174558,20.735222027459557,17.526657656019932,17.05708358750845,17.695395786560635,18.221287530526258,22.294417818141156,17.741737763281755,21.656222007655597,22.276119675653504,25.71421437625494,21.054283893092144,19.781643403513726,14.644479635287649,16.29922509281312,17.237010649376582,20.77880947728082,22.143859289529104,26.914794503118795,28.117126569110436,25.766406620395625,28.669910718599855,29.547557747174825,26.45176267105816,27.123002525786752,26.086395541575428,25.994154477266274,26.836938500270243,29.38133340079818,32.7868489446302,35.21830532134488,36.506126453305356,35.106468669170106,32.625333921758916,31.02237140445002,31.51480926920225,27.902205628063356,25.676252162146714,29.844058642998384,25.88439831299619,30.15831528570357,27.475397147636144,23.936047688531843,23.969542575727115,24.21660350624578,20.373687685681414,18.87994141969174,19.489362679892814,20.870742451146207,25.085751209200062,27.80089836107174,30.630397897435927,32.599169129691845,33.54504916958367,37.53407653061621,35.49195852734159,35.15597081402115,31.8480905648355,28.374170484925838,29.657059761893223,30.65308992421148,28.59258900433442,32.948799544716834,33.794994960274266,35.93801475468407,33.081790853814425,33.08462166535746,31.40178943522192,29.78081486248093,27.073704460615296,24.32102719186095,23.21572894440424,21.36577084811247,17.12879313215973,18.555744310415598,16.030575218782662,18.22011896916172,20.26511842688455,22.377577255687747,19.09983237170319,17.288618109244126,21.655846313389986,21.36376793205607,16.13440777430441,19.743990846246188,24.855278093927023,21.587570872582365,20.943849466078454,24.710191614018328,25.71230289009697,22.955384065415366,24.61200228218217,21.556990527490882,26.191126674741646,20.509600086562376,21.208678125560468,25.360841939192873,27.042020440381343,31.62064126667402,31.20964767107987,32.0793290175137,29.972778038672296,32.12491665779407,30.319578343249688,32.11183934670245,30.395223465557674,24.87724542193775,26.968172022998306,27.958260275228035,23.63053155785189,21.924002395712172,24.185530691763976,22.169884377478127,18.325261270125758,18.145065922919404,17.53256065314794,22.222040109124908,25.159085538839555,26.57017407103564,29.875451951340064,33.69808774305947,32.145005417480085,27.455588382561704,30.541816789917156,32.83913765503788,28.43675528052412,27.189566987738687,31.457385098088444,31.415970056941994,27.75348060237587,30.986092639788176,33.558914015880866,31.06274240804545,29.836473860303208,32.564967545076314,29.52618066464146,30.794663632587444,28.89254725077304,30.27842076834982,29.563014237106852,24.456603792534256,25.312031739805793,25.76432474200863,23.29083553368273,19.960858129383414,23.93366778926996,22.795174415231926,17.813299586813326,17.773172361657316,21.697914244495365,20.19865647370892,16.37981098936803,13.659607714249606,15.945901245824636,13.725070297185773,17.640363378789328,14.5219637788776,15.31922929122417,16.314255159510267,13.203424504275894,10.765065615739351,9.313066081090923,8.147185647941022,12.074063382152602,11.84618778014676,14.332724032627144,14.379724120228587,16.063874224871128,20.16650813029111,22.899266234514936,24.60957520507607,20.19158651231354,20.96271141983631,24.987283523809726,22.727672541012858,23.149393750560616,27.34566215580448,29.862494973322857,31.304502202774064,33.61251876023986,34.845454059154065],[23.44395302186994,20.53508497956845,20.17093232213417,16.172935058596394,16.269976644320767,21.127158186385998,22.33593077258371,26.771653142357547,27.80819382217297,28.002209424262066,31.649014139789102,34.262163124845834,31.560238608658427,30.72389992501304,35.55203983244409,35.856386678075495,32.44988765566742,36.065431073988876,36.27968509020195,37.7862757810886,40.03752582400759,42.24454247674715,42.576192743316994,40.26524955137871,37.79386605476787,35.3045464052981,33.55670838206176,31.648452896469845,34.56339804139444,35.63445815042936,40.7073548639663,40.03492696404123,44.4109811333274,47.04440490607855,43.56656757044099,40.67394069432785,39.42939606336673,37.573492917246526,35.377344012117156,39.31061672553753,35.11964015741456,38.25621236953347,41.82906925273915,39.53263141831736,38.49325654171104,35.91605236916293,38.37861251453943,40.843535230869506,37.58573572775512,40.20946812128065,43.27005564664206,42.39054473856845,45.67043277305996,41.89515827738621,47.855516031148504,49.58292096573845,46.55404895785028,48.36087466129136,52.603096603601315,51.68638211306784,48.56712286265267,51.11771000812943,50.51641571862712,51.36112199408466,47.96363031296441,45.164016890184094,43.29321185901953,41.79971225288854,39.50041282217009,39.16943660031258,37.89321106354816,40.75314011620385,42.891949510019955,44.651277653072604,44.519324336742926,50.496424723872124,47.803758432702956,51.37365738661983,49.164684451193274,48.56626895724969,46.606470952676624,44.3645877341091,42.82870754708708,41.39207211994526,37.8097544152387,38.871087487619064,41.23889196760078,43.630121103690854,43.65420002191308,48.424444432878225,46.6836111736666,50.45063509188193,47.88123707750394,46.558665243724136,42.08248220089054,43.665977436953646,39.54103665288652,41.23325332376358,38.78893983510271,40.823010710068516,40.102859382689466,38.23270122709163,38.26592929117593,35.16870091243981,35.22040654323792,30.484676227141566,31.87016480070624,28.817240456979565,25.422716767122196,28.138286919845278,24.318653863142067,24.737993027223634,24.367479557900324,22.953248109166033,25.706709370720507,23.574268388788976,27.25731914027794,25.773154149578108,31.49263606552491,32.01194266814131,29.44770627567387,27.6846484328607,23.13234882055398,22.164457215768678,21.605489341324663,19.05483900467332,19.648799145800922,20.515002599169385,21.607632245530677,25.720504991325782,21.472402161794864,25.601419579156207,25.754410797312993,29.193912996380003,24.10909247785436,22.44307841368512,17.48478221868046,17.92366018530393,17.90379112723637,21.892241176993746,22.14801029152287,26.93232408482674,28.34976351388611,26.43899204909198,29.671199428913926,30.754317505221096,27.675620229876454,28.75689225559331,28.240976074309604,28.026485311455517,29.47492849993364,31.624719363688847,35.430761379926366,37.53187309072524,38.619530113973504,37.43193059581475,34.72937322933176,33.59263730273371,33.66669858346692,30.604699688312774,28.008292025741827,31.711480014589164,27.430438778289165,31.919503794905662,29.263905704641992,25.200225730795573,25.931720893163757,25.766518339259992,22.301433036011453,20.43617591377983,21.66678127470722,22.729308302174665,27.350424253155058,30.243131446040834,33.05184596310515,35.295591043635866,35.80965852168725,40.17568393626938,37.9511945330164,37.95722403844444,34.45357407888827,31.408719828805946,32.787827628091236,33.65802613661826,31.286003298913652,35.16310956523402,35.582579186448534,37.69751445352334,34.28065771502365,34.85015196212394,33.31314733385963,32.04299131354922,29.63329591911118,27.201888849367514,26.451483576831187,24.88456261621376,20.73607144866144,22.65036175258243,20.436756999293493,22.54801746139481,24.818506789996242,26.808046506674238,23.362041128864934,21.751131376510465,26.12001822622579,25.551669892523055,20.180840918647814,23.907580230640576,29.002544362785272,25.247515513710347,24.51003241421217,28.370773950571564,29.15152773378771,25.933454116995566,27.67752553831705,24.75434812805813,29.63199394177583,23.839317280397456,25.039998634503203,29.24012212417062,31.06714812899852,35.46518733955345,35.266973460470275,36.4145794570438,34.424010250055034,36.64363709087306,34.90635786960557,36.601373501420674,34.8055127157226,29.397331398723257,31.454358240389215,32.224319652663226,27.90583113910823,26.2987567342378,28.327047169081247,26.06976748213595,22.412005341704635,22.189198160703857,22.012928256956105,26.597041967746154,29.611164946578125,31.14513208916361,34.39378048782866,38.25321549377387,36.570037142824425,31.927071133253165,35.061789946215384,37.238253827172144,32.72550628332756,31.562138558428735,35.73737996406784,35.51863610820261,31.823835559652494,35.19707037591678,37.61475867171956,34.83148600848033,33.73999097898297,36.60582973411166,33.65527508385432,35.14097291724587,33.36874465804503,34.797944282566185,33.89535441431853,28.792172962940004,29.826060294969214,30.100430868524555,27.522954766105432,24.3958144558417,28.22003825051576,26.75127981271787,21.88450592506178,22.000604304233992,25.55672836478701,23.702564619643887,19.961105653844882,17.243691537032134,18.6992066508319,16.06156662686215,20.40251785197372,17.247563987061604,18.84742027240873,19.471375251960804,15.706305336423222,13.996156422028667,12.514529906321089,12.14083531944301,16.446181073605015,15.99132045469595,18.592605134270748,17.999812010051176,19.525946419117517,23.88892450071986,26.554491803375722,27.859970632330523,23.326449491239185,23.99909067013639,27.779372265112798,25.166168338572007,25.20795699824712,29.503561937987346,31.948791256388095,33.55835111353191,35.83626149633026,37.17849034314878],[20.11246503470272,17.14887922593021,17.180573513000034,11.827818987672648,12.620578105598513,16.471117775135614,17.500483641842294,22.090262634115323,22.595677745332466,22.770238122087733,26.330369491861124,29.10508808218571,26.66559323222902,25.516194362202455,30.472500525893935,31.041776408668706,27.85362394753812,31.65041129939381,32.231739100401434,34.05352794046796,36.536593135190856,39.177618036106416,39.585418134372475,37.59915494136331,35.00629964118045,32.039894026642955,30.26417240199242,27.856643076587396,30.4598934232205,31.352829320195745,36.032360313622625,35.53091002993896,39.764176469223656,42.57353202882213,39.34212780718176,36.57165521842416,35.50456600916095,34.0787779241109,32.282995233315724,36.84571908827811,32.67816145494643,35.315928543094095,39.20191597712372,37.35228839103197,36.59995431633761,34.43787766343368,37.24974310494698,39.2826690416393,36.05156653268493,39.33621065917503,42.103596756712435,40.89381542193401,43.87592286304784,39.77526637444306,45.703613419397676,47.429670011764955,44.127545402919495,45.63065132078603,49.97162328536995,49.309128298229,45.736214234326205,47.84035475637702,46.876535887883136,47.89895022536977,44.74805970041622,41.70129408194131,39.466621362321064,37.63073427348775,35.155166725620376,34.43723569013699,33.18293356208751,35.98282821175834,38.13246260048276,40.25268489176018,40.03130861671577,46.16020007795056,43.80053475560243,47.26224028215203,45.347693232191794,45.147645242506584,43.24401108769603,41.4963776434278,39.754683817577806,38.893775489233676,35.30841925615558,35.75069757550613,37.95774529950634,40.01656693220147,39.83715270189482,44.2868924141551,42.30873642689889,45.89624449101304,43.12464280778322,41.70518078161253,37.1382562007165,38.49493749273107,34.300305033204864,36.279864500938146,33.8697748901926,36.050247395087595,35.659972382291876,34.17881945636748,34.46022870075389,31.7562681250163,32.606004550326745,27.823845660800608,29.801789507216544,27.326438344517232,23.654307421047886,25.62122840018603,21.321809604612803,21.383793103686653,20.143776306074287,18.877312702458248,21.12889729434907,19.21876374747796,23.069429908962306,22.074710248692444,27.664508731065123,27.646586991968373,24.89061043191636,22.843775662407907,18.42827997274315,17.25216174591992,16.567859769828125,14.923195440957851,15.849392977780498,17.424729638399224,19.319157714593818,23.825483796362825,20.608733545853205,25.14451072629737,25.438389156989576,28.05767042707686,23.061075179304588,20.464223068424687,16.34153590355055,15.647307596151085,14.952808309529528,19.10585852282213,19.83745239456716,24.78305370253036,25.410387824355844,23.345061159865722,26.727449292583263,27.166870928069926,23.97279943498193,24.736954150311604,24.364035647129832,23.617992804286327,25.40554347927916,27.023046633615863,31.122999311676384,32.87926683509873,33.8084241032692,32.88664279312904,30.16080340557478,29.49676178194053,29.495373904141367,27.1266962191101,24.924867824132928,28.404345086849865,24.68959541680424,29.37322723313765,27.60674468463332,24.010200168472238,25.380009246731696,26.008339744878544,22.810182782284585,20.114553184902622,20.998600465575954,21.046561870170443,25.51422248537884,28.010585093944165,30.35492926316471,32.37317162241016,32.278687177133534,37.011673100018136,35.19358178344727,35.509635984836514,32.517052598532075,29.237255013262832,31.547939179363468,32.918498171726846,30.301378189026863,33.87210311948765,33.75575893621801,36.619738462669176,33.4886388705602,34.48714663610178,33.45920955859395,31.80164351990665,29.97714832351226,27.543908185783263,27.052780424203927,26.031083094577944,21.564397093983814,23.322920584503343,21.004933414574197,21.9445958041978,24.900331479798346,25.943457340944335,22.03435363448588,21.42518147494315,25.736952759387552,24.148843726786698,19.155732877510147,23.4504723634228,27.921055765187035,23.401502058728077,23.23333065774358,27.24586500254025,27.13189173664817,23.882981930939916,26.45906305991348,24.0138305575684,29.2209422076719,24.661083597610922,25.49492729880771,29.697118591006237,32.31411656166335,36.78071313758767,36.88552967477902,37.56934075997508,35.61266371530051,37.79410229736014,35.60813396087513,37.95779394103427,36.537787628804146,30.65248980395513,32.71961273772347,34.36168022493548,30.09299274741479,28.036750463735583,30.392122160565435,28.962970327546575,25.026317810278833,24.140621296679694,23.23445916167288,27.026406669891387,30.292077756992917,31.408254793524257,34.211090984017304,37.875939832467836,35.657366844828985,31.25219649604105,34.404915343311195,35.951475395682294,31.153784489861007,30.41843354077701,34.291965439081764,33.59351897908007,30.092444989276736,34.03114996035518,36.001224975846725,32.76248852844502,32.413849521427075,35.68053573600156,33.10750370928726,34.87715809592734,33.06792314394097,35.17548290692611,34.298584585781825,28.800820662608718,30.413082362498002,31.249128615762135,28.44085044146485,25.41183453833542,30.09606825791831,28.854794000470104,23.567182667675862,24.156789006248324,28.38160174022602,26.608249089176702,22.59431323237076,19.027570593503675,21.574756211371536,18.207969929454272,21.79341166735966,17.45095540134964,18.584069301789505,17.741433514507992,14.353548433419807,13.482614014746451,13.572939466128355,13.252417317065131,17.226202307785716,14.966141561975423,17.750139263029965,15.78132564819693,16.87744704717695,21.320268575752092,23.918913579957884,24.375920195234777,19.862558601549335,20.747431546552264,24.010041076420784,20.855000854119922,21.007175753722656,25.203230986710068,27.37350411672798,29.013937217478038,31.29053217406141,32.8329449311035],[19.100839857940368,16.607573217736945,17.490008029010998,12.348835861792445,15.088656068262006,17.805435217192773,19.411582350941373,24.02133395248699,23.935564710138415,24.41520181349509,27.72316540079069,30.68069212553111,28.815421822252745,27.1238994424901,32.22747621823623,33.213516200407284,30.251494134374298,34.06031690167205,34.6579852269576,36.90931716191228,39.325871548729474,42.27855779931715,42.49942361366663,40.542771794440036,38.14309305462285,34.91908814428489,33.41314728687807,30.819035857902513,33.28381455913562,34.122907482624285,38.26355083064453,38.049364109499685,42.07812844294149,45.04361638548608,42.0877552189793,39.38676134532916,38.55734228272975,37.35766302248181,35.79112685024725,40.66435097326996,36.37650133095621,38.67722595399907,42.70923901242976,40.965281340721006,40.1350639349606,38.12755148227096,40.92562846802279,42.98304792133426,39.946208055583305,43.33850966841482,46.145811725001195,44.910334299655645,47.81770900067833,43.65183505683609,49.60626413932114,51.216240385282156,47.75850847449419,49.213541617148806,53.56272193013179,52.8860932109506,49.08341171879893,50.94568486769961,49.789700043314525,50.72158427572463,47.75172178139467,44.698916081786784,42.008031805714076,40.07679728790986,37.202781708060655,36.24001946684249,34.773903975036255,37.236103098656834,39.71664249602181,42.15680172705584,42.16846468748479,48.416459838232186,46.463962775224054,49.91343896831996,48.291091455117446,48.372067805111854,46.60839996989425,45.15311234216532,43.35252370332087,42.77891582750421,39.19220319545835,39.333140723124984,41.35744917718818,43.254793244670374,42.81735748992389,47.03607543359253,44.76920846046018,48.077171896523126,45.14162394736771,43.69173918961121,39.048377717622245,40.01500436363744,35.73448698955281,38.20632058925325,35.81713155386645,37.953163348966974,38.15527242415196,36.85757220974844,37.535043399084834,34.96363521399578,36.288151969557575,31.439747078699348,33.44564996407232,31.17651073418795,27.287453533997937,29.006881753487303,24.46261771171875,24.77243391580701,22.96773033215399,22.056538603857902,23.77371681493816,22.005437577634275,25.77740979562637,24.856120855889166,30.101124457668075,29.948999754040667,26.888153631976447,24.793586575044223,20.508384263741988,19.473436275732805,18.76159030990565,18.18402519880005,18.830920289880844,21.05061124667042,23.132929306630064,27.818586296514038,24.777090315225987,29.27889449699393,29.788873198455615,32.2721099733633,27.40212641432936,24.64754491169692,20.713105577446772,19.801885318671854,18.71141406539436,22.901094814434735,23.342902628061214,28.229840505981034,28.677983335402836,26.787497962650367,30.286373918463838,30.465051999254417,27.26467434018036,27.851461518323404,27.554567748237414,26.265023710783552,28.046007222620453,29.00293361029097,33.13928056042796,34.199726408678025,35.38089741460134,34.97666152499293,32.457698559172435,32.18982818490452,32.341510126708926,30.45411063674506,28.634812524961934,31.953239037428396,28.505117046870392,33.24423144060418,31.764009083002488,28.171351260037802,29.752022308265563,30.33499521509451,27.21282662958727,24.463456833504633,25.41128520261769,25.27599396669592,29.705065647351987,32.063615809204855,34.20342489125328,36.06238735964122,35.64530069137706,40.53859307104765,38.98051938441963,39.40693852973644,36.6394872705471,33.237210712212566,35.81718044693047,37.29481580806339,34.657401774618386,38.131482639790185,37.82156110336633,40.82595066964164,37.60087712787407,38.795690117920984,37.83087605745871,36.204852483398284,34.431910292608364,32.001675811086756,31.475483446017204,30.346101348379197,25.86536939559777,27.417542508044313,24.77772107532544,25.624603509072713,28.236923026776893,29.131010714858075,25.18611377933811,24.27409344446371,28.37439241213597,26.54177136713605,21.259844126840996,25.369019308140267,29.82180367653518,24.809057267368395,24.27969232667009,28.249992367547925,28.042138902882844,24.22738275795731,26.63964860787374,24.418941042744063,29.765775367171504,25.299625170342967,26.737957124469823,30.91576723388494,33.89703496477872,38.03264883705548,38.62180011597461,39.725187683623645,38.13731096802122,40.620929186677586,38.73139243281041,41.20296791913929,39.46729234871549,33.690126649638955,36.125298510401464,37.65230418250547,33.183694372996406,31.45789796679415,34.05597319030161,32.21588597467787,28.181502767046922,27.979057350612926,26.708766305204758,30.868356091545127,33.998823514494966,34.75626527451341,37.69613824221942,41.10894075138887,39.04917597735527,34.61289822191056,37.31733497596153,38.86873662119984,34.08237627927721,33.02764057150472,36.62371180286531,35.749798891298624,32.08440881721364,35.95575658788859,37.697204334930255,34.13559352006223,33.74714421143686,37.110541138472676,34.69576433859964,36.88595621829057,35.50468556223637,37.67744285586623,36.27732949810352,30.875317294067816,32.99464059821548,33.445547963719044,30.37751471909613,27.91472966242149,32.57631455700953,30.72726476742263,25.53112972036508,26.785405966463454,30.64799241859098,28.281662174829773,24.272488148882044,20.439508223198697,22.403438749541383,18.466682090270968,22.02408326782318,17.6780187002565,19.692581285621813,18.659334228130664,14.67493098067796,14.722820683441252,14.788963417698227,15.508082617932168,19.828190124925264,17.954897879528446,21.2944910892968,19.279947355634174,19.120227741773842,23.846612295655834,25.941578569735285,26.58956073703366,22.048863471755926,22.103383888653834,25.181202423927168,22.4309704360939,21.37501815768091,25.604792628884216,27.946973891120553,29.904963947933982,32.07011656974709,33.5524910293977],[16.966409943044543,14.325682059038161,15.236474938617327,8.984813469987651,11.914699229083302,13.649378651532295,14.990615445232732,19.596766582566964,19.25067904654313,19.779495801988965,23.054724748670456,25.990733923499,24.32263329759741,22.635582012237347,27.757106031399033,28.808033857454564,26.1149619480342,30.10298483695718,31.153881850520243,33.423740282881056,36.109899749199585,39.25359642219859,39.68311324602941,38.05547907837211,35.452739322774384,31.98520069968332,30.290580672430192,27.32682097938402,29.422216017284978,29.989097144948957,33.97593549421216,33.683869766385854,37.61925420651511,40.72710037305921,37.90959890649881,35.393797207741684,34.54153578738657,33.77337476292328,32.51380535230118,37.667969691799904,33.63048049545048,35.64776173282453,39.81437036023912,38.45577295263396,37.972597462888956,36.25910261540038,39.30694396517817,40.93446328231523,37.82117305999847,41.635399341692846,44.121180365996665,42.62245603787597,45.289978047323146,40.910141491102465,46.72265404164682,48.42642630996988,44.853188404505644,46.00878207084261,50.421829672244264,50.03380367379405,46.00665769832257,47.570319907944594,46.17136633800608,47.368569848284054,44.56084612150817,41.28191115603815,38.55871846417786,36.31429765421696,33.542248247361094,32.25090644926525,30.972265872429954,33.52099025928489,35.79043063781325,38.457010339867786,38.19368380648219,44.479940017973504,42.64990294893551,45.92600405341978,44.43690211310549,44.74852445544942,42.91146356023508,41.76903211437467,39.74567623055382,39.554997907853945,36.08050757761911,35.81495426387628,37.8329572391337,39.403419186530364,39.005009126566804,42.936286867806714,40.645372863133645,43.90856063727207,40.83788582478129,39.25150057985936,34.56976097756531,35.46343791096124,31.15884772879977,33.609323465340566,31.19413694791525,33.34571804398904,33.71153809206801,32.59480353598337,33.437986697096285,31.102360379592433,32.9212038716898,28.133033640119688,30.488307550989703,28.669181653272748,24.722450968091547,25.866882419536978,21.148336340194113,21.200600918124497,18.86640534117274,18.19961135698141,19.64177910905357,18.262065809908037,22.15142948773088,21.83005569015917,26.957004250011632,26.23972315919779,23.21073067516539,20.800218219455786,16.82417900892188,15.39640742209019,14.368557936157574,14.509323076972603,15.205675593164576,17.850761079019854,20.378442669825098,25.148869030414,22.941718333648815,27.547255730122906,28.171845556814393,30.00502596824851,25.40045339549694,22.145961817511292,18.99955042748182,17.54802936388419,16.255763317137802,20.224771437350373,21.356808551794266,26.2091337124221,25.993646139376434,23.88110102755708,27.30607678691629,26.93539890053171,23.704627171701677,23.91754426983309,23.61649270968063,21.974330994485918,23.900593245908745,24.549337115512994,28.824591318965194,29.78829496496436,30.80393132864778,30.486777797742736,27.976815578774808,27.96001373090663,28.111072498812806,26.656314322453618,25.235379389767033,28.42230798691964,25.557656501321105,30.276800855973296,29.461803626298313,26.434133924816884,28.23903887100529,29.454735144363237,26.507546866519135,23.37329565425448,23.91048273614505,23.132029599367453,27.212625893299677,29.185868234373665,30.948826420406704,32.56029880823234,31.801438942089874,36.81806843370479,35.59943407557752,36.170690400637746,33.84877901456738,30.26807621102459,33.442938438886806,35.26831468666558,32.56528053282442,35.8640740430335,35.28545318356346,38.78597617745062,35.966863638592926,37.28362429959722,36.655542117384236,34.698392580954525,33.306449226834545,30.87051411435343,30.4879552266168,29.740991536648462,25.166661554969636,26.54305183015968,23.969310041642913,23.96493681554257,27.04755223659804,27.249340702579214,23.109254551657617,23.064930435138233,27.030426000928273,24.54912342118887,19.89490624086256,24.313375139336564,28.138640205977158,22.84362602594554,22.938053530261932,26.913985526318427,26.010943640372478,22.51436700828037,25.6221061073834,23.77538773057629,29.157238797986274,25.749850856672158,26.59674084475852,30.670861727265592,34.03763095726886,38.299868285135545,38.903086941793276,39.46963944532377,37.79338868669378,40.10898938091251,37.817907744348545,40.70649724454872,39.37120540249214,33.300331810061685,35.59193906919609,37.77147358464868,33.46579233539491,31.351960467664703,34.08400485802197,32.97769548492504,28.843455871384897,28.01924307975287,26.348474679839672,29.74554997016508,33.00847568313302,33.527890970573644,36.04821776668261,39.32193803844044,36.85792868534043,32.6903117356026,35.47068704432415,36.51715167239897,31.59985143775193,30.984021794744226,34.359299668575666,33.18233262830068,29.797475646744633,34.05938609829687,35.4998391936535,31.752153628315636,31.98482327227359,35.5675372191761,33.43437435688308,35.64586473866385,34.11090113271239,36.73770127646771,35.57295659770055,29.948873434524547,32.274850857989094,33.27477722209094,30.20256262305148,27.66767285822059,32.85362608192463,31.44413653386943,26.038603431700526,27.337195121492094,31.727597141983598,29.71072019993341,25.602274199855987,21.44284295792304,24.346791697951765,20.356705242128076,23.218208124013486,18.220202960627912,19.37122345744251,17.28228164580395,14.184936634930713,14.578443656565408,15.77092301367645,16.06507763836128,19.721983967548844,16.584184620434662,19.70580485526879,16.822229144913415,16.52194168052659,20.994220337644386,23.081495155247357,22.974395754883705,18.609595732674997,19.04819081340299,21.63053344429208,18.38597039066872,17.78983697004075,21.84833371692887,23.867976890560975,25.73083245905898,27.912364353055878,29.554666348408727],[23.807065583055635,21.07365473437702,21.558912458846866,15.071113418786,15.890641668116121,18.26221951953034,18.061852806501935,22.598115235373193,21.95337135555923,20.933633638973177,24.18011618441722,27.626886887484712,24.652802991020664,22.580767219771467,27.476302069392194,28.38875254443309,24.765253301420895,28.043311758833788,27.913738184049507,30.335654755276057,32.37067685328235,35.34233257557178,35.28736911232153,33.2191822120991,31.048216660368507,27.82923596707707,26.7333434901841,24.487359807984667,27.434023433777995,29.00534337734692,32.91150640690577,33.424185004918854,37.50898076553306,39.899719059655325,36.86966776712932,33.7116566604219,33.48935703354415,31.48874387342016,29.828065914762252,34.91146476284181,30.09127785288446,32.06846581835731,36.114158601982155,34.28614481770967,33.24009115468602,31.460638529340606,34.21896517969784,36.27538392748313,33.64799546028503,37.20299456357696,40.07096580492589,38.90345592320807,41.70794891738413,37.65439296129742,43.75245133613991,44.9627984308879,41.421903842862704,43.119719640033615,47.31055466827224,46.314438848437334,42.40839699287692,44.30286612781848,43.307044579020534,43.83478452001232,40.84996579640383,38.058654284721484,35.160183044713534,33.62681261856067,30.577772361693587,30.151985025823226,28.459911602908075,30.949302644594184,33.54716643623483,35.55379876041645,35.97601606523445,42.12858081218532,40.14019025519225,43.89073219836525,42.2900141759252,42.29066162000689,41.03539172564988,39.625554335562136,38.50343932114262,37.93223732239954,34.010785986081856,34.10365934907668,35.51928311276797,37.91772701326592,36.84878773490359,41.44715810411403,38.98948668686663,42.240668258452,39.648016129471316,38.666080567923046,34.225421186157895,35.46431991589152,31.38894536078731,34.13726681057452,32.29167914522099,35.36109255372656,34.58484608871892,34.22828225343887,33.919203661166804,32.28332193167039,33.44407077168408,29.137040450856997,31.944602237869272,29.861434093368942,26.576927723918384,27.917616287708487,23.646509980433105,22.37564857102461,20.390475321629264,18.184290348083337,18.990704645454258,16.371537294828844,19.59138706833912,17.978410556816435,23.059021345607945,23.534147593624535,20.449362953919042,18.96484773038524,14.346344718251835,14.320727133675918,15.069816512023252,14.495677520704264,17.5726996496211,18.847167718910647,21.47001252152532,25.55850250158368,23.304984917067173,28.016347409029166,27.52442303443448,29.72410394995574,24.378493244937864,21.1548731342121,18.055794839353094,15.363984555270674,13.124956473884549,17.370023604998696,16.698198007940526,21.3549634599169,21.862364999091774,20.47208954107299,24.144438516268078,24.73983975685509,21.77306267581164,23.20063934327915,23.803683828942,23.211436942070627,26.08830089556922,27.29993477404212,31.919851835606757,33.56347573371987,33.70768560210458,32.796362423135676,29.607988086648934,29.65120986142565,28.705199519624458,27.341538537684333,24.51678886175515,26.967723501221027,23.080768916407294,27.85010938174647,26.531915494961897,22.71434926849744,25.215636792084133,25.776281415739867,23.432163198695232,20.0314579357442,21.413265785393225,20.56243393527939,25.185532764380728,27.682767991226047,29.782342157586662,32.16714371218008,31.33719143547296,36.52468933902552,34.46120742310165,35.387964906121994,32.29691391644452,29.84647840400224,32.42327349995815,33.728612868497876,30.65299436115548,33.24958060966867,32.3177239682047,35.3846691744775,31.81972341715213,33.727054351222755,33.24055637881148,31.84962907408681,30.84372566311227,28.96228363560835,29.12723960602836,28.884207447156903,24.602437735538366,26.988248850783375,25.41758098767871,25.89915754324303,29.596592240718017,30.222550688333648,26.189642981819592,26.539565681091567,30.836418433977087,28.83327262249126,24.484443544160552,29.005968202945223,32.99652925325102,28.286867577633753,28.618512577236434,32.623691071713296,31.891377841916285,28.79993090512732,31.885136823539828,29.753594070106374,35.02047028029491,30.96360749703417,31.602901150809277,35.754482652992614,38.47945307012504,43.02607864433352,43.03863211512829,43.40195775449552,41.250635930691026,43.15654797237249,40.559666104345716,42.94546433192822,41.95302768034957,35.944631545650175,37.559777071738864,39.44478781278395,35.45892574957825,33.01111873609675,34.96012208821266,34.06813858942065,30.364840566572184,28.49170962521071,28.181054017894237,31.04161606104987,34.55776882869615,35.99333725628522,38.30238593435859,42.10807203084663,39.32510898678519,35.26742085822051,38.87421365275544,39.89749436588713,34.960650573601534,34.91097924533729,38.66676864743904,37.69219489812064,34.56745995918317,38.8890287941208,40.59537791981658,37.1827731574651,37.45076145772379,40.8938618024578,38.53573558214851,40.24216284205472,38.183722994183995,40.54634314118072,40.004875848660895,34.376399690505245,35.887526720091095,37.13357940696422,34.425655503746086,31.168039585465593,35.965341526017525,35.07764826564273,29.76144282080286,30.011889603344894,34.414889635276346,32.9103984961825,28.931668390066402,25.444714944508895,28.023266173724064,24.65511269077981,28.207437976569345,23.674121043025348,24.604839284883965,23.07846814142852,20.09730339653979,19.57647683423896,20.006467689462244,19.441857551277206,23.064400739186468,19.94979859334591,22.01471083183551,19.129118168055427,21.016116336539643,24.97850566366633,27.744003485332527,26.951049942043888,22.805212827875913,24.406882055859104,26.866943199092535,22.774750201815802,23.639726046665565,27.460594471452854,28.940994757593156,30.411692498924477,32.571285180025086,34.365400645291956],[25.068484996370778,22.636913846099215,23.575269461742927,16.821491313524465,18.308413682074917,19.490543340348516,18.99479674193616,23.35608590057963,21.87788353839845,20.459956061610015,23.31225676961203,27.114087739630303,24.28356264246017,21.49074552340477,26.337247830434915,27.655194909406003,24.07596686746165,27.075819088384872,26.71025130611194,29.656191052294677,31.473416239495812,34.80129939844318,34.472658074116296,32.49619315219863,30.620634621610847,27.111490314203547,26.479904208478107,24.155350250590157,27.029928130567473,28.800580044720835,31.937459564753535,33.074929117295525,36.91158059931325,39.19334874379946,36.470184781138194,33.24858005550906,33.54727415552922,31.54126076632594,30.175067946795057,35.6448009727805,30.61434071157984,31.995013547296416,36.180047883919954,34.54720149738021,33.4340453538611,32.00830863097126,34.77537045965283,36.7167755468804,34.45721009987987,38.2383054818337,41.05149367352969,39.85085232800672,42.446530030580234,38.369144578041876,44.457781560415896,45.387731517158876,41.64603896423657,43.322177993464955,47.43413813642102,46.35537122725178,42.1496266901106,43.72311977682495,42.55364906427932,42.858124357538536,40.11783523061739,37.41581174009781,33.95149233223159,32.45086405066416,28.93114520375112,28.43601229752778,26.444186900245143,28.55959177814005,31.525040066956226,33.704493644279715,34.52031111540249,40.71356291065528,39.18251630671513,42.993670007540835,41.74691388342307,42.050986403904346,41.16053562371089,40.14516979736203,39.22105943633991,39.01864389456202,35.03220345282175,34.71692505346554,35.663302548907055,38.020086462723775,36.42179934956697,40.84987524262675,38.01924906513454,40.91426304694693,38.307526141836554,37.50362260179291,33.11977614384482,34.05849482047284,30.037307216687623,33.396934406229974,31.85491537263678,35.284679286070194,34.6707862146613,34.94902801138081,34.62049550153052,33.57199865948691,35.172382292466644,31.083337884294764,34.24492893673312,32.50526747690641,29.270242466378384,30.163129902173583,25.827271941547306,24.170993272645006,21.58584069589417,19.310540974901286,19.093006272107043,16.432929314261422,19.16752245233525,17.51145199752957,21.896290113330377,22.389334842941107,19.01553388160144,17.78197618242892,13.41854854987285,14.039147631865202,15.384288377918741,16.00655887295097,19.587698664871628,21.067269171385615,24.029106439554283,28.01866608925512,26.347605279689844,31.08011736228797,30.466562235521813,32.29807892519626,27.031005733859942,23.485090068343005,21.034291168788574,17.643228350480477,14.762187917082015,18.720678269456677,17.500609861878058,21.78563044662934,21.92078593071923,20.937444639898768,24.66728385811657,25.03060927617104,22.24370647760796,23.73751281933418,24.781634236683068,23.92247029962214,27.213441840127103,27.860398259058034,32.67673117810139,33.902445757630616,33.77261063570846,33.14392298000573,29.900554796231713,30.497708312821548,29.23609147644919,28.65416422475864,25.922138472469648,27.778664579811583,24.20586358210299,28.912343218905786,28.131864446884794,24.45302588465724,27.477251459739282,28.125014787499186,26.199699862786595,22.557795018182713,23.99050811362904,22.620291112134733,27.063891941126307,29.344100912489825,31.115902770034275,33.47306251775755,32.10807724316878,37.5262575731184,35.59697232222946,36.85189163551748,33.979043926252494,31.77866699819606,34.68386183960087,36.08268754562845,32.85419469440447,34.94921970804114,33.54282001475412,36.84205841000539,33.20671156288471,35.57972941685185,35.413050999902175,34.09324279601113,33.50553021622656,31.831017836291014,32.22478037099443,32.26254459711156,28.037657843017783,30.457973578181353,28.96864170170646,29.114756354884836,32.97804777346464,33.27848034350398,29.165597247624554,29.836875296797544,34.027819289393456,31.67378691094292,27.52252488633503,32.10176044125329,35.81381847659896,30.805449069193894,31.269413073320813,35.24653690214808,34.137506251206226,30.95084474347365,34.2593162465852,32.39559046527121,37.73470633039412,34.07841928281049,34.78021140311423,38.89604540759491,41.88923825952469,46.35358771809052,46.553953504394485,46.88276946581521,44.79240096448385,46.70628069932203,44.010272220709105,46.556386383549196,45.65181804949436,39.56695984450884,41.17259445655274,43.231286071668826,39.26997091477427,36.75172027236269,38.71485341562558,37.970750966696045,34.2475404012251,32.24718984321151,31.85638626011897,34.45226406984909,38.01906821770736,39.34691409670644,41.46651430446889,45.17052491864349,42.18292272841697,38.2955819682326,41.872252136470124,42.606576816170886,37.620102532090854,37.756970088020736,41.299237905869695,40.09256636003989,37.09963913700889,41.59116729372074,43.039304989346746,39.40298337568255,39.997333228810696,43.58188009509613,41.42186489335765,43.28639223909001,41.29043937545787,43.86218386297588,43.2597148264075,37.57260776777182,39.30566325339929,40.63781580761899,37.84349751298358,34.71568412283255,39.668201477117094,38.728998125932506,33.36297987071488,33.79469713886952,38.23855724412541,36.63689128719178,32.61900121031838,28.953668804323286,31.527241442815956,27.917053671879653,31.334268748007425,26.612389427086157,27.649685679648954,25.681154708566506,22.757406276270714,22.6839924590825,23.386735564669298,23.04814553906092,26.646267735020583,23.22910757421451,25.285319279378868,22.00276571084802,23.587467344382357,27.421709729386727,30.015286014835258,28.70707079241368,24.791587585797938,26.3696969398356,28.337370434170378,24.02524176147417,24.74107288999372,28.274153061534864,29.450034173832474,30.960006218751996,33.01459262533408,34.91942859107999],[28.764024447629527,26.264024201704068,27.036594217621374,20.3025658905886,21.17237483999886,22.729243043459103,21.82414058638976,26.0573986007488,24.588311011624512,22.606083696086834,25.348572046571938,29.257857749328483,25.886720605874903,23.024720687085047,27.573235722195285,28.77492000112651,24.797015820211296,27.271711714541027,26.147050703875816,29.13816852962878,30.47163669173939,33.635662663356584,32.96460272415331,30.692704466888806,29.18282085406656,25.919361204316292,25.74079523787507,23.965858004729885,27.275917905350152,29.5721295824543,32.59735400738215,34.14329893794008,37.99694996786139,39.85603159901292,37.05185066184004,33.523189423671994,34.16260627088482,31.486853869894638,29.902485791547534,35.19889143132146,29.7785812340129,31.10878541750327,35.14106243244226,33.211050236256796,31.718628080672342,30.25669867722074,32.768752685134665,34.99913916222266,33.09950740890034,36.623104914272396,39.67223617841797,38.72029491029602,41.393018321288636,37.56585061921285,43.760214994890596,44.38205913816538,40.68876053905572,42.68320713841565,46.62812343637791,45.168197255966184,41.08893180327359,42.864780931401114,41.96469813600142,41.83177820609664,39.00547665417988,36.66430226723897,33.12358465188426,32.11846426886596,28.471715034428023,28.543641560354242,26.321803202083142,28.309456040426685,31.451216917013113,33.17776315949076,34.435938751387226,40.45285745418129,38.857355438238955,42.90832038394906,41.60961139983577,41.71764989980758,41.17698478187887,40.002643278384184,39.6017783477352,39.16391104955232,34.996214899575556,34.91466612811583,35.50596318949887,38.30993963655103,36.356139318849664,41.11273214979307,38.226036532222196,41.068616090813045,38.77721356724707,38.32782665937417,34.153508237097604,35.25844466036671,31.4409684199511,34.87746676937063,33.636665378430585,37.420611143674805,36.267822269216374,36.85888321344475,35.98583618045663,35.24222906365241,36.45711634101604,32.64264827404343,35.904036557409036,34.02109485714346,31.120972946129484,32.1530813161925,28.090376141181174,25.996839896493373,23.713869032956215,20.874021079739272,20.412019023376846,17.254191561344992,19.38555668468562,16.93210015215673,21.013296891147665,22.32978542537684,19.06179227885244,18.517844415216878,14.123051945837567,15.525079179851527,17.573318734635297,17.748736160556444,21.99911366234112,22.871305699482882,25.715903580840287,29.306388788700385,27.56276301663277,32.21992925371695,31.1002530648457,33.133527024765264,27.620151615095065,24.264502455244774,21.863711675943563,18.136246928257794,14.993007834396177,18.776515617120765,16.365957848990774,20.277653356396407,20.940502383915813,20.51799961242909,24.25270144860539,25.211166355000618,22.688303617322994,24.788568581765087,26.221501257460588,25.896620878440444,29.46631045881085,30.389250822296006,35.253998674239476,36.76913230819261,36.310797546337554,35.415767879252094,31.931140159754452,32.49918211234524,30.78032900677631,30.191880436891395,26.837854827217733,28.279638645136956,24.223469404105405,28.80504151771921,27.715646756346093,23.639052921810677,26.96098006910464,27.149623636869997,25.62839727551347,22.023501068632065,23.8973901100461,22.601541725972837,27.194083516584165,29.71464670529684,31.651136021680223,34.37023961697636,33.03644414514747,38.42861187051034,36.068957418989605,37.46764236722492,34.20953893690787,32.6362629741791,35.12760616159014,36.202327382705256,32.8504370230674,34.53612517817468,32.97855440509257,35.923707838510374,31.85982992424126,34.54386013821992,34.432831198045804,33.49842942978226,33.102060906661194,31.76001810745618,32.408759905210474,32.653971069434114,28.679775357532122,31.509958553208904,30.464862513582265,30.895163752174014,34.898688246409236,35.44280118654251,31.436721207007416,32.15051217241441,36.450776753114546,34.366627207924,30.27446539530454,34.84002474119315,38.67516076031216,33.927894421517884,34.40800566714752,38.39913539534714,37.43800232007368,34.36250323802597,37.59440362104582,35.577871980512214,40.871756051162166,36.86725452110367,37.53909161530391,41.687612794863014,44.37856766520889,48.93449591419169,48.887818761197416,49.18571592898116,46.91278783723744,48.661639021741536,45.89193244643241,48.160596868503006,47.369720373427775,41.382004054792326,42.702234258430124,44.5478144762322,40.74531368731181,38.14946393835592,39.73258686686851,39.02356506944285,35.54458868838362,33.186208426689376,33.41583410060014,35.83013671558506,39.447743601379706,41.177202187403296,43.23780263936682,47.160285028787825,44.10187365864,40.25980781372819,44.147481690792915,44.92772545198901,39.97904208940595,40.28880584991335,43.99771304388052,42.9150042820535,39.997277579255346,44.455938257195946,46.04656334837877,42.57149367496265,43.1033633135465,46.60533597166133,44.32356919405194,45.97821385153608,43.79142952564607,46.19515829569147,45.82648580570333,40.17717820066738,41.555768734257185,42.9251700520607,40.28973197286549,36.90065296642134,41.60973852988691,40.84963435976134,35.574452370290295,35.58316822686392,39.9382427528197,38.5298477908943,34.61128928699773,31.26611320801323,33.61652524365139,30.288201038318746,33.98895169054812,29.506533617195014,30.527988290135912,28.861644489175944,25.893586665525262,25.488322228785172,25.84878529913647,25.250833810885293,28.83705960688892,25.60089594982334,27.270208985918796,24.16117684121273,26.477427332400605,30.142384578407434,32.97079908978805,31.533761986782146,27.698516518592836,29.61388959954227,31.62712791047856,27.125335621276854,28.280124608347837,31.77296392768952,32.804267646333436,34.17102620504388,36.20994253595156,38.132146546476804],[28.635585988365424,26.319275151859237,27.195014530203085,20.25941458416727,21.05444497340082,21.265491924169094,19.658097402202706,23.41620231339283,21.222170756298702,18.668796647184443,20.974804830062816,25.08541222202397,21.785823843844465,18.40952111060778,22.792106493681906,24.285650175843553,20.485319862355254,22.82695113184412,21.918702439380663,25.314432363713564,26.78739652893333,30.40076792820665,29.801791706359047,27.98172624257045,26.40642222069116,22.658428254200246,22.599094853227356,20.410348551284205,23.338515196614722,25.60726981283054,27.93300945558979,29.907443438367622,33.502795446380475,35.338508490123786,32.84765380823506,29.41306440925103,30.43259887593917,28.098543569466035,27.019043048488353,32.80801245600947,27.55376428474214,28.173529505753585,32.42839435276858,31.05993014931376,29.940694608761056,29.037846943969424,31.842525100523634,33.48584247628013,31.70600258763402,35.791154104927664,38.41657208468791,37.16461916606105,39.43849170005929,35.40614151057164,41.40981595786503,41.95835848465171,38.04786497439483,39.7154855398054,43.662840830394664,42.46179683554988,37.97389079037207,39.244150355095954,37.99247499549399,37.99924802205175,35.48249654449713,32.94979305218807,29.002667781073505,27.703040499076714,23.81731819034047,23.569555010214994,21.291306927062838,23.190051217973856,26.376689277877585,28.417201151654545,29.670033981852875,35.77428462580013,34.56200859993166,38.50678082535257,37.54701965081937,38.06013879506465,37.69575595564631,37.07169473125592,36.6236060598023,36.769108051349576,32.696714647332044,31.972807062068792,32.21361089380405,34.699619118565614,32.40927077158824,36.81272824622896,33.66138857685913,36.25352161654082,33.85814147530425,33.44955108252241,29.320435377458903,30.22760691896589,26.49072954089669,30.294250883304237,29.341782918192678,33.45331536029394,32.37504114790339,33.626191297533104,32.74832631276982,32.68915112575224,34.506131631247115,31.024097382888804,34.73840081693633,33.45424464351077,30.678713223929385,30.983995999215008,26.98046981935922,24.349810343597852,21.43077804514313,18.61175930550535,16.992507846271828,14.071906423906896,15.69939572029185,13.797795884718774,17.157229123495537,17.934054924732642,14.443755127743461,13.954727674801672,10.114947499659545,12.079196157551225,14.719314059348916,16.196540663607145,20.947148157612087,21.951915165285595,25.199861702889464,28.586559018972608,27.91742978852647,32.53278210950724,31.444570259559633,32.67302515083903,27.56093660103948,23.696333767781027,22.459219244833903,17.998667574955192,14.38334044098304,17.510975826368515,15.536095388477872,18.994569596049875,18.56421781818799,18.231941685214228,21.860273035141724,22.124514545859377,19.793307822158873,21.69187181584646,23.535456187923593,22.93174329835609,26.9212895163409,27.30719702120077,32.289515541312305,33.56520901520581,32.651724598022184,31.908109511420495,28.370051182230576,29.500710615137184,27.443845783668824,27.78865856425905,24.78543152554087,25.57742794913349,22.3332031039197,26.750195584275925,26.69196476672746,23.381103022284986,27.130520674877456,28.00480462032489,26.874393999304328,22.917948272179384,24.3459006985663,22.18013479779245,26.19258175791882,28.17150868418825,29.520283708565962,31.998812505136843,30.019094090648068,35.604237130316044,33.61706518990479,35.358539295409045,32.66907619591803,31.177535648382808,34.32085852607586,35.73901721042918,32.296552185805425,33.48195335649665,31.38857999870196,34.94303187800917,31.343344354491325,34.35029004599898,34.741506881088114,33.525754359822756,33.71168353829742,32.484336696309846,33.35516246552776,34.05049037991148,30.102103397023626,32.72883847936582,31.799338540909993,31.435397067001727,35.78201279447398,35.65363339315641,31.59824795201325,33.084354537825874,37.140649724459834,34.5099667976852,31.09924444708006,35.76676495222337,38.945976292560175,34.04548905487229,35.00900279720469,38.8856417545232,37.30489167792111,34.538718523398224,38.24393552532296,36.61893799154467,41.863930626750616,38.77978744804739,39.074204957758646,43.07902068192813,46.12482722187604,50.70359267926916,50.75084162734723,50.62859710177535,48.332551444906635,49.93798997568889,46.83601729099102,49.48478536084909,49.054156829784574,42.86650025357109,44.05895176672974,46.481013673959566,42.842108687512535,39.9588635461734,41.65004569923378,41.57403559465413,38.020569025871865,35.217747196329015,35.073436063365335,36.737207060480515,40.42040772252124,41.89236075691566,43.48756524944227,47.20347343848593,43.74798164232375,40.2876933120187,44.18429702010505,44.40418687221029,39.434662719989085,40.20894191535116,43.58615398470397,42.19261563423941,39.647717159044696,44.385965203774376,45.60913760644036,41.99049999298643,43.12920847444547,46.78538381876572,44.83084200127981,46.525713314548995,44.26663172443374,47.06921879088473,46.86826056610215,41.115026101718385,42.7036288750193,44.49984650706684,41.856350080715394,38.51711155866921,43.617476187003,43.15020777644656,37.749285765617614,37.891645341595826,42.60832508889304,41.38903952624262,37.3884897320304,33.751940859290826,36.703807913640965,33.20758671219416,36.4090033932293,31.49720199389083,32.02808296514353,29.61866483728722,27.30234867550052,27.241002622384308,28.314726701158452,27.606273915926938,30.712298684158522,26.656942510528975,28.041343562652592,24.267073997254045,26.46587143236605,29.623359880618963,32.31944681277628,30.00608103161317,26.673284476058406,28.929873293554202,30.217163448256304,25.324028340851953,26.969169544819867,29.90688833157413,30.38202863337382,31.561638874931134,33.51827586589104,35.600755037609964],[25.25868202071809,22.594441079247176,23.015950380340282,16.143956354272582,16.26523190820614,17.4783969887964,16.12486378232224,20.272008898162444,19.02304174554573,17.093815662503136,20.110740193394843,23.8085027244489,20.426601222204212,18.012181682044453,22.741183293237903,23.73321627803321,19.95646892392478,23.025404837296765,22.832155325263244,25.485332563190468,27.52658573804347,30.759579997649023,30.703368410459188,28.876296853919648,26.686942885144212,23.17214037126904,22.212880293438005,19.7976753077986,22.703187949443123,24.50115954807262,28.00341075680753,28.95518719267783,32.93439399971006,35.12371664546669,32.222548914824,28.965957498982206,29.139995859395903,27.077180073813693,25.686740223777864,31.171742507780955,26.273961771650672,27.723764572923805,31.931955486890768,30.42758885531746,29.56403797189319,28.208780693025034,31.170046277683014,32.839186082227215,30.39712812285626,34.404933855796045,37.018697391668844,35.65335369650696,38.187870246509256,33.995977415229504,40.0419009558369,41.08576039091115,37.35259637259242,38.91049587983446,43.08204150420528,42.1564547097824,37.96525046234343,39.58176291859699,38.43262942776028,38.94963899748921,36.118394640142895,33.27308801335468,30.125999623202212,28.53081915763339,25.3687470686213,24.943438351235294,23.222687396252944,25.7591397274426,28.31267676145305,30.32525809803731,30.800357771553703,36.96376328954717,35.13647199619285,38.91397160568536,37.4904455741799,37.69208435849633,36.685804868138305,35.621440146050645,34.6850717846437,34.48902236881904,30.513083753491234,30.175385151736776,31.18945267256577,33.55988826756635,32.111222722617356,36.64186254828901,33.999623957409746,37.13045410459034,34.59596394362309,33.77391257227504,29.425477321129105,30.696042647721683,26.73947195362239,29.707876081762834,28.199627467173002,31.775972355581025,30.66993823813694,31.029981670990995,30.359325691023965,29.48486121829016,30.986447018374655,27.106644597714453,30.49934803800787,28.923187218266857,25.96705052947379,26.637504651955787,22.54440077618879,20.32464313830592,17.84623761930593,15.139981815812083,14.850156702162455,11.993878403277096,14.81336581263607,13.28526312011372,18.068895063057752,18.42072042855334,15.248347328216855,13.931157585897854,9.326588416891877,9.961134359722724,11.732647797167086,12.053327680559324,16.436615593869345,17.443706917866184,20.535520186644078,24.209629799220977,23.076015939682783,27.76184326540329,26.94865119252228,28.431593084950883,23.257986909118962,19.504435036625352,17.70461736102134,13.744002705978016,10.595234675447609,14.35695933119725,13.547773725254062,17.921554206492313,17.715605800328554,16.50342195186382,20.211638614034907,20.510931082912194,17.711906927257566,19.330887648704216,20.532906725053657,20.03786093960616,23.581836983276055,24.567346612869933,29.41667089682797,31.1491503350044,30.64598029432124,29.616116067239435,26.151918824247886,26.63531779327654,25.081421761553287,24.492597770942584,21.533358735562043,23.246454703016074,19.724815023779602,24.423105356134847,23.881680369656312,20.541452494829624,23.701174581526427,24.769389285777535,23.048533099796604,19.171902987819912,20.3544813845192,18.55453617194877,22.806444457772827,24.9613449848477,26.64355580271058,29.056577988050037,27.667066517137695,33.085247161329924,31.085136246933537,32.40974313988407,29.591989245217437,27.538247555451242,30.56871569745029,32.054882436918824,28.768528950243628,30.698771634589164,29.183631945364045,32.70129560128265,29.335615504431583,31.720748188429095,31.768337870889777,30.256566832630533,29.96164721176177,28.38034622215384,28.961577409329664,29.37359438682774,25.253393469221365,27.7239300713768,26.62142558550808,26.366085216924258,30.624494176068815,30.657757185435706,26.60779037136857,27.93113759290266,32.054132981543425,29.619463434626198,26.116032859881248,30.77722002489528,34.1144441684291,29.432919907731023,30.367617022430466,34.27017204617265,32.94917405094964,30.320845847252883,33.919183729859725,32.10292199144296,37.27613356799348,34.02885000157697,34.1584068086509,38.16780828671199,41.05773792782921,45.71304346529779,45.626200374099284,45.457089104789205,43.12509924375466,44.732803867818426,41.68542230966013,44.30769399631977,43.820944293346265,37.639462404416584,38.8873506867683,41.29952586872032,37.6237892463555,34.76008151531278,36.56416790741021,36.46259919419527,32.85102294685672,30.1415485487869,29.851962752201512,31.687431564791755,35.34454364939878,36.794914903443726,38.543108963556875,42.30582626561184,39.016524810002124,35.383015560229005,39.26622856594804,39.71452841680396,34.742965107801645,35.35253098938283,38.90293736076534,37.68584247104847,35.015532441779946,39.65178852884953,41.084274257309104,37.64077418200728,38.53593492965149,42.0946513274412,39.994531052177265,41.5681047552806,39.2550270230564,41.95006193378852,41.80181204239238,36.06468499036809,37.530505237849056,39.32517963590196,36.74028165522453,33.31304626773841,38.39673549226121,38.021947543925634,32.62955473961918,32.687170327278274,37.468439769907725,36.37219996463565,32.38663463225205,28.817361589449536,31.981165237002426,28.66896552741552,31.8119803962119,26.949792748044526,27.21755865841992,25.028125132356855,22.834274026055958,22.444412730728317,23.51076392068233,22.55576169701841,25.527297497725492,21.488805918046385,22.87821403284718,19.256181641678353,21.682694956847143,24.956923070215726,27.822821934126058,25.948104010216966,22.327553448472,24.66789831016447,26.41485497311639,21.639444027567734,23.524898016986224,26.810571420017844,27.64228724553756,28.821931397278473,30.941479883892832,32.93360374402439],[29.85215975703123,27.011946063332974,27.065639446318407,20.3999867211812,19.46328491780494,21.536623492940656,19.71813313791866,23.588991139440623,22.69426562416737,20.115239924519454,23.042619842329476,26.670003371348532,22.43780158870538,20.317160292931803,24.493689481080562,25.07651561991211,20.692136000400023,23.020256593483428,21.772482887624573,24.170071491653207,25.609012191807288,28.40302898929569,28.01722606884603,25.717233493667827,23.846261062963038,20.839952370716983,20.30135486894148,18.824659545009226,22.46778649201537,25.003946091840042,28.689713345797205,29.958868429986413,34.050820436041406,35.620028420943406,32.453668016223986,28.765155657268295,29.220839364395598,26.09775737701818,24.217016169664525,29.266238306900142,23.840033273410498,25.513087262697955,29.448209419176433,27.406146435242793,26.05108196839385,24.48730451431304,27.145460043879442,29.2324736512796,27.110043831418626,30.72177343519776,33.68504085636918,32.671775248145664,35.40968881431493,31.569906780605436,37.80345042461752,38.5147600472364,34.915470977688386,36.972444632895716,40.941184225412975,39.509256910978195,35.632120635636106,37.7132448835492,37.04845421200197,37.060817146158236,33.96313742262836,31.588756596815113,28.660968531271767,27.789584761552664,24.744247306317092,25.23169212223144,23.371629610783838,25.948320705027033,28.493382172251486,29.709624828862317,30.59351590036239,36.44778985793959,34.26090837119459,38.356734875081656,36.66789444935185,36.418638596197674,35.76627861431137,34.278509809615976,34.07073836245194,33.359965946150886,29.12531906794001,29.327349409027583,29.99728941968624,33.08182478072919,31.347857564722386,36.4588735257757,33.9413741457281,37.179780624083676,35.14276624547664,34.77080007476527,30.753913896807692,32.429350374604546,28.8046046242003,31.547061866562107,30.38845660101161,34.31736735825557,32.296209060950204,32.88583100097334,31.353201487838266,30.756374533906634,31.453143364707195,28.007311508798285,31.418482091769178,29.54709746908296,27.178520399983597,28.17324936270949,24.634373975620758,21.850244184244623,20.158932267037187,16.61751909637123,16.34742992091182,12.744972993143083,14.647923255564542,11.737935948624884,16.499147218834786,18.16260798287897,15.408381256287127,15.124510076774701,10.565727915979938,12.200963400136786,14.771738686745373,13.870459056588855,19.02437830124387,18.89193355558882,21.609224584766995,24.56189699142842,23.22607565919869,27.722377360307593,26.119794448237204,27.969271384643328,22.428447767555117,19.1027139282816,17.323041111956858,12.967255967924702,9.56405312622374,13.034536292090186,10.29397065095988,14.375944549890644,15.197062404533462,14.709422572590974,18.41626019736688,19.826835198214024,17.423121482063156,20.035847031109338,21.689566654587864,22.205980711539567,25.96406889910809,27.583285717362106,32.350782859719,34.67849184119794,33.774311033658975,32.221012818163715,28.447563877404612,28.652670673499017,26.50516786685774,25.607474826424863,21.616239818862386,22.843436771977647,18.395303533009088,22.904005095387383,21.671846525746282,17.645233927795783,21.183447318335475,21.59133257656923,20.427717814268103,16.600076609152552,18.454338984269153,16.86577437276214,21.399006927369847,24.00924163358304,26.0663363910207,29.061569806019563,27.947020954769425,33.18505661555951,30.45641861309814,31.88489952145788,28.39160056915527,27.279340037057324,29.536849397550203,30.494746067022138,27.05722460010098,28.492718510836088,26.89863727996616,29.83163520486099,25.86658372093599,28.577705990647534,28.64901408451252,27.66015750342917,27.583519409534144,26.4713203769971,27.42595541815772,28.156137722355744,24.454873865481286,27.535700786913676,27.168490576377476,27.380603690688563,31.80932183229377,32.26462874955187,28.45848075716167,29.812933174396726,34.07259538539189,32.15199847541121,28.784327787342786,33.366373596499415,36.890300998760154,32.74458011202263,33.693766975478525,37.58989386204803,36.58041397299203,34.19322756558287,37.623900894005594,35.534022028934245,40.58380382854453,36.808641205571,36.808182996654054,40.83736530015929,43.200441216217826,48.0104496287751,47.48719199669696,47.20922074414593,44.5682806357135,45.879971067010956,42.7138804020029,44.886212283904065,44.61153908962047,38.61045702819495,39.37664333669747,41.48212689034196,38.101809230472874,35.09960699231728,36.304597625440095,36.343505759652466,33.13234102498527,29.812782648340534,30.482993030027096,31.97434694406343,35.68453449287588,37.77164945788346,39.42095705029012,43.52197283420601,40.17272768221539,36.61605662812087,40.98370724254434,41.54979886072231,36.69268899785989,37.55127018285978,41.38466192482596,40.43135109903848,37.88448093770157,42.3991155273142,44.10639966922018,41.00919404935344,41.73701430170313,45.11184317234264,42.79702613826512,43.9774950404518,41.34271270571772,43.73401880991763,44.00425650154801,38.3679792739613,39.212516891719375,41.09331541018013,38.80500401562387,34.95212186380226,39.63072588900347,39.61726751300457,34.39592396046311,33.74986450112273,38.421426504884906,37.71630946102476,33.90769069710356,30.86503375759795,33.79477426916746,30.98063104589043,34.48155789981217,29.99956870365937,30.142734332281716,28.491893223244134,26.288183599903217,25.318490521502845,25.87647907145557,24.45142811249527,27.289231209296425,23.584767595679264,24.29305125653211,21.101866045271482,24.72404695519092,27.685448037172293,30.92457648270398,29.00459749557271,25.52785421769937,28.36953857114017,30.294302836884228,25.376452248968043,27.910278387473912,31.17894547074889,31.882893020605874,32.813667179436635,34.917935951893185,36.8988202471599],[31.38529034378944,28.757635344939555,29.03353004755372,22.19877140587752,21.493213218323582,22.393006274108526,20.021824711821736,23.43409120190466,21.778266164958474,18.53189798828705,20.923291479420243,24.81041075613956,20.51937941607273,17.769931217287358,21.62154891585898,22.50831224647038,18.10712060505611,19.96343765342626,18.396223754862117,21.38407863723107,22.62402182368503,25.87868464423728,25.271591223691534,23.229977144776612,21.593619411052202,18.139480891643178,18.13513554147497,16.540801696894196,20.0608524491934,22.887522779025964,25.688710917219932,27.688016591279197,31.490542240793204,32.83265559534962,29.989754079467385,26.2189590900643,27.31705752370749,24.18898750513781,22.749490017714024,28.273213880087265,22.7522879064553,23.551872431199204,27.66297708617184,26.03325941761079,24.78534879961719,23.840510956100772,26.60042203079043,28.27616922761737,26.597742693157993,30.62471019317128,33.30838436712828,32.14024230467424,34.49451031636002,30.6016665565618,36.70167720136642,37.12887480812656,33.31551865836889,35.22732922501549,39.09881474266603,37.68306120998783,33.404578345860806,35.0449663336018,34.1465241036491,33.99007611396358,31.18625641316823,28.842658099054567,25.307501522731926,24.44342263450135,20.9487841314215,21.45979646588267,19.332817515578423,21.67856306235856,24.466207044222696,25.764023764146465,27.000709711612693,32.88237954938957,31.129522885388177,35.2826090067795,33.968065869143096,34.07373013279451,33.84346880119055,32.88057513802912,32.90847389492228,32.708918047576034,28.478279653180905,28.099292709325145,28.160418786908313,31.15683244271217,28.802531685560826,33.718612753701464,30.826596058865444,33.724097157545174,31.73408790216201,31.60767088204181,27.73857238321665,29.228393912351326,25.784613060873248,29.02879379570326,28.309591609815122,32.700393388750726,30.630420112038205,32.029842346831636,30.331159949643748,30.54878377306591,31.74258437546128,28.708692073185144,32.55334107701652,31.2009662519496,29.004656658831696,29.37146032819809,25.919274440549245,22.604561490069106,20.337044618361542,16.72015148230638,15.092566877542318,11.514049913259964,12.424178734719735,9.485747619261701,13.186982806865359,14.911119522121165,11.916061699027543,12.214937740055115,8.264625526059046,10.988376174909986,14.378183283170491,14.757633023012358,20.361987979954993,20.351170998956473,23.39686687132364,26.067790853745556,25.657462361316696,30.056433692127616,28.373727738901714,29.55608014504592,24.36337168743244,20.6779301124005,19.98786514523624,15.010403060666532,11.161588981087693,13.684284134843008,10.72886567017621,13.830704111814885,13.71823819630615,13.800097286478,17.40260992069888,18.380413670874397,16.348650392622442,19.037800859193137,21.289014650672982,21.65052445551044,25.88468253988273,26.975345470309502,31.864657613253772,33.929639703705725,32.54276637805129,31.13571668686413,27.26078450491462,28.06505996322258,25.4327246000761,25.526263488441447,21.70663239720632,22.033673495017965,18.24990119116705,22.490633273650573,22.210923896876462,18.83047157436622,22.896422210106202,23.697248901488738,23.111531048665338,19.091599601473458,20.681918031815577,18.31934553739099,22.255818948356854,24.39157066292249,25.895893392591105,28.787522890967526,26.992562235384373,32.43125408214728,29.909351341442196,31.76246785719165,28.688944347154347,27.92962677539183,30.65143246682529,31.792983102884506,28.241245050731273,28.961454590369865,26.71516259859612,30.06296071365868,26.31467724986163,29.545813438598792,30.138806869601034,29.095894798701373,29.654804053645908,28.800760982432198,30.015727919001908,31.152340508986576,27.584219196682554,30.557379133158843,30.322796298271097,29.985048933517223,34.64615400997748,34.61707397233857,30.784001025514236,32.67417179374592,36.75285253800573,34.42758494179725,31.505426834305943,36.14910554424324,39.22430049983814,34.908640618613624,36.1547702150923,39.979553929371214,38.511716703382206,36.26231486030029,40.005803485480506,38.206251174960684,43.26022097855276,40.0632905855641,39.91645994076763,43.86488371980609,46.492637109685546,51.28829935301435,50.86546597997559,50.354340331273086,47.71835406874676,48.93536842675619,45.55042707070546,47.95256924183791,47.921447795866285,41.81693453071254,42.47815415502584,44.928765462523906,41.669696824161456,38.50123221110049,39.72779096403105,40.147290304250326,36.924858385914504,33.34029219131331,33.825027146645695,34.78013232959223,38.52276112268564,40.45986807756856,41.7482329819577,45.700632168685964,42.037096956005534,38.804339141906894,43.18436063610183,43.31043929312497,38.445074088268264,39.667350787373564,43.233490433313754,42.02798032814166,39.76529739148246,44.48750776457279,45.90011229219446,42.66010479606457,43.84353824264591,47.34381601534822,45.27622488457111,46.51991710288815,43.85846577448215,46.526491208918145,46.88299542227873,41.1822595633313,42.19647866148848,44.32898921120177,42.0146517800544,38.233243896578855,43.14328233366696,43.25286837414647,37.959933166313306,37.44033379345893,42.28248183696621,41.624392990819516,37.76404801681327,34.52043658609604,37.69346128484262,34.69060376474853,37.94825969058242,33.1966946152413,33.18083070227138,31.016104148618293,29.124634660262387,28.488102317308567,29.4439409230196,28.086661365504863,30.71776194818303,26.523846643552467,27.083070423428463,23.42241648235443,26.833093531000355,29.440771403369997,32.53369590243677,29.905597290349487,26.852074575413816,29.87329663265262,31.18526581584752,25.98261521154242,28.7718940064436,31.61410125563864,31.834112921168263,32.62206231750303,34.57016640469602,36.6622137941067],[26.480982391118218,23.914951838818283,24.188383719257963,17.404878083854463,16.851045200953156,16.998945537560036,14.607014583835005,18.105653505156123,16.391342979826454,13.578941691395148,16.32800911251018,20.147102999362524,16.391197938874342,13.770416551654733,18.301143309582095,19.309722747727903,15.462397955794202,18.457321718396184,18.485764555576843,21.26983903892832,23.50053849742134,26.983046354806397,27.084533204694406,25.641108558941802,23.294158092236266,19.465535294120766,18.45077214269319,15.692360803965423,18.36512687675094,20.234917948327293,23.418454088505992,24.6498329261792,28.533481655255027,30.607900123218233,27.82324435252756,24.564164560490543,25.010506060723493,23.08827061759526,22.056600558444085,27.905448028723224,23.164432866138725,24.08806159255433,28.445590424367488,27.389973137997135,26.886898362514884,25.999478056833418,29.179121100859206,30.309652926388853,27.96164129487008,32.41291058393135,34.64062546632283,33.02944920166781,35.23461516118136,30.892294042280902,36.776603625035435,37.77022785648906,33.89459815557075,35.208419131825124,39.38069217342381,38.66257674605087,34.20515809400913,35.50122501633986,34.140095674051764,34.81599395501247,32.15420542984686,29.13876146872337,25.865093616974132,24.044059959075973,20.915489064963065,20.341676991312887,18.74856888031578,21.479637627773833,23.80216183833334,25.8932839155826,26.203310875734992,32.40328270975818,30.678312069189744,34.39697492194525,33.118099236114126,33.54095673745268,32.65409870249067,31.95784399423043,31.059374914287986,31.28127809375496,27.360246946456765,26.53930066848365,27.26623523743804,29.468261467760424,27.79054067883658,32.16933284639963,29.417975939783577,32.49931459836887,29.95808205472238,29.19342992748467,24.904427679686574,26.246714756529492,22.39787685620943,25.43688023496852,24.20541459766076,28.17647168773507,26.78404023964414,27.75761868621825,26.818673228179684,26.63523039618656,28.49397582550557,25.068086283592674,28.916050511697016,27.880869910741644,25.262494072761164,25.260111111513147,21.45034513571971,18.464305326164943,15.57790927319353,12.578836306867597,11.070003115079556,8.174145055963459,10.569528950077965,9.612302180982,14.05585948976324,13.896794437956446,10.679794374400197,9.308614845600927,4.758266039812485,6.18197890139464,9.098761142544529,10.477624513246063,15.665778146261921,16.405845718613495,19.785879188140488,22.97805237464234,22.957362019203508,27.462590326670448,26.505060027963616,27.22075393010304,22.45755120770452,18.328856171345624,17.884328072291268,13.1839583688695,9.641641783763271,12.383567533390377,12.042003627046117,15.833944413890862,14.621046990638181,13.426422718111402,16.998753470624983,16.745122704959226,14.130166072668287,15.744019710989134,17.469907292638776,17.027482965593887,21.09746694412602,21.855136428759756,26.796068704011553,28.63246530923895,27.5428591057711,26.38418853097999,22.720136086189086,23.598766521984707,21.531994435990388,21.72146841312754,18.852845963735692,19.854038765613076,16.997087818472195,21.493271701725806,21.865847611499934,19.30419909990194,22.84489707655445,24.500877586006492,23.29526178710801,19.190509849822305,19.964932404033075,17.326493779440348,20.92652412935737,22.58631116284118,23.756360117485162,26.055339457404777,24.13425094165877,29.705966900808015,27.897494083152218,29.54974875203231,27.155709384292656,25.366935629912582,28.87053215803739,30.586284700785342,27.21714134755051,28.586979674331047,26.58731992636089,30.589990179788714,27.659228579577313,30.319047952827137,30.84525479585995,29.130167711994776,29.442131648733383,28.080329340469508,28.945048987263515,29.87530002672077,25.970107021081457,28.333884414491514,27.581803142084766,26.6393392332856,31.255676685115255,30.733125254790387,26.759720134362276,28.891781144108705,32.76144041422551,29.98659464859118,27.304277191542425,31.97145875809561,34.67859838271703,30.12753789581794,31.565492929767696,35.309586030048266,33.518294356811396,31.373428695172173,35.33460153808993,33.79974756270234,38.80876752881366,36.29419764432113,35.97280664083717,39.80740463004155,42.81636394837559,47.529388530140196,47.36237011863454,46.72288739510204,44.272028052177376,45.621187718965764,42.22204270492684,45.06119296698694,45.00486152919949,38.73484122701277,39.68868233782804,42.56585436966573,39.17686873753206,36.01254323239132,37.73626163547027,38.30404599909074,34.782410695531325,31.494623811687365,31.110089149330857,32.048320334041165,35.74704490029707,37.121769115927314,38.35599383748792,41.99841703800534,38.31244430540971,35.11044064757919,39.144274383993775,39.07016974784364,34.135428777141755,35.31051659363672,38.619553386288615,37.205479489445075,34.97859847303295,39.8198101370929,40.99889943796296,37.5877794747319,39.01287920666443,42.62328882862348,40.77162317806949,42.210104650970756,39.71098121330099,42.67804370340198,42.86147103173207,37.102341569328665,38.53230166916668,40.77772327890753,38.32177063004489,34.821385465535904,40.10603808868678,40.15603973614285,34.76059694252847,34.70209831364644,39.75334578805866,38.99466395687955,35.03977284481174,31.430770329931896,35.06364094719212,31.831510284594536,34.5766278462455,29.519770913373435,29.213104389660355,26.53870367497406,25.085105943836638,24.785581899257867,26.330555972793686,25.103179944218624,27.464896079456643,22.77681359051497,23.589047987401717,19.484515986597543,22.183003737239748,24.72670942867777,27.58266688058897,24.79508286328342,21.798669319528074,24.72088568273253,25.781983294240405,20.564188478256092,23.34899645758779,26.06938891483834,26.276723021752755,27.114671719594547,29.11274172868313,31.242483172968246],[28.801318320507946,25.820041960075972,25.372860763349276,19.012338407812322,16.811956657621298,18.991636406688375,16.581746322604513,20.077445793665756,19.743298730817205,17.056475134482756,20.18131996351508,23.396699129182004,18.80903436805863,17.533000552965934,21.514215619364943,21.595839856646162,17.214184117346505,19.87148276931971,19.27029287183084,21.0270719337944,23.031258854178528,25.62491990747094,25.832699635082975,23.854169560062545,21.32784106010035,18.350993864264,16.979317260918226,15.209360194811426,18.72175918445258,20.98526860043275,25.386842197307164,26.039070702910212,30.32518009713421,31.989568233032585,28.57527612176512,25.022494074218848,24.991485495329712,22.077656487754222,20.134144495264486,25.150668119386026,20.124364205531496,22.153461496041043,26.140743713794034,24.32661584566223,23.51278439796915,21.94762475579971,24.961179470990263,26.581065965933604,23.915033441006916,27.863379590597738,30.48390175285377,29.16391805807418,31.865990861051994,27.75577735227999,33.93508529420138,34.988662670460286,31.401944136056564,33.2207760922969,37.3606529267329,36.312144268312366,32.50060169125869,34.63627555333775,33.92723354028438,34.459463346927635,31.241675749798105,28.514511777505472,26.223611899104398,25.014977414378112,22.66853945480023,23.002949410500733,21.706473930253757,24.82211067450728,26.66732636721008,27.827039773653098,27.989375566586073,33.80554439763684,31.188812101188287,35.09077752747305,33.11891016442039,32.739777338721936,31.671921424939967,30.06005849817486,29.540898590613587,28.817037991575468,24.665122108187866,24.888226338387742,25.971752457379544,28.8954038355604,27.68713834993624,32.806189065662814,30.669184982703186,34.275128284433926,32.20358787095678,31.604052908338883,27.578570085278816,29.611683896616963,26.03332596063883,28.06345577494376,26.747015470020212,30.519529820883108,28.132329142885954,28.47868264700513,26.77008556685338,26.071070990043445,26.625472552464963,23.3069799878549,26.828099180465667,25.1204516259114,22.990379984366246,23.781020475042375,20.541617408545985,17.366679288689323,16.018784769117463,12.174271155517044,12.362823592650992,8.740958582325849,11.067877020349957,8.70649971688157,14.372423080957033,15.444584948519587,13.218931801856,12.528120156429734,8.107283253061066,9.075743702334167,11.526043452220218,9.752056428857234,15.358865769677,14.643711802234273,17.371433946379522,20.019312690244554,19.252969692982116,23.653505162546793,22.042773654755692,23.468372124858433,18.12784489434379,14.558415816414366,13.555457596721084,8.679204066337098,5.037735256541465,8.37411787477463,7.058992374408023,11.704196282289596,11.928120098427408,10.620814588667784,14.317375653191746,15.545495552427711,12.951790864273502,15.541826535487559,17.08869141356283,18.02454116439292,21.752670489140165,23.813647416136337,28.415357981883037,31.26209055436244,30.19412957406437,28.245771368869747,24.39955656139578,24.289957380982347,22.091384148872063,20.905815114105973,16.797109871883176,18.207542454866026,13.81549118274145,18.443326115601135,17.453533424720398,13.984859720604419,17.447267278737385,18.63145603402277,17.45358052394472,13.385376044780626,14.644726523541307,12.529303726586262,16.84120294273881,19.292922453270936,21.30283846195763,24.25068742403042,23.292974928783366,28.4487603997073,25.75770192097383,27.10668399861858,23.752389503500268,22.488604329218433,24.969159137646617,26.15101543129736,22.722344358702795,24.297839700121575,22.786903075677703,26.11117386287049,22.71145913305358,25.13254091254966,25.351746859425464,23.91740373849966,23.99553935378655,22.794778211444775,23.819442678387606,24.845731097830978,21.21332852557895,24.122670842855484,24.020867792980596,23.73164277740136,28.446606322179296,28.584270022685626,24.891028232250754,26.838465795520282,30.931274335084805,28.938339119037977,26.251139850687995,30.797646144153187,33.89850065009926,30.12380208444061,31.471181833792023,35.22269316991846,34.05481737123475,32.21598366214474,35.82869936243416,33.82716285639649,38.64272593811788,35.3725555215419,34.83499837751832,38.69608621659633,41.002934331406664,45.923320344964445,45.20953119603217,44.467348959342125,41.66258524166152,42.724883679880726,39.27315316082355,41.59377326367452,41.679565034869434,35.6109837834013,36.1182372574401,38.63271064128315,35.509864487300206,32.22823598347242,33.41155590278791,34.082774157607986,30.92934441490977,27.081315991815032,27.603336839739026,28.361731963006715,32.11198078293855,34.1715250859294,35.47838554093331,39.54643627424096,35.97758251124289,32.659325773000525,37.204532513321304,37.51622772574694,32.70971027712715,33.95053564615403,37.737845076048075,36.79243028364207,34.54481058427406,39.12023477830512,40.797566881343144,37.91652943382409,38.87667804924082,42.18898667026009,39.96382580997871,40.89465813730265,38.0302176107994,40.5474026387202,41.185586250972364,35.5640327139596,36.224325273547194,38.515263244880096,36.41538778068363,32.40296796720635,37.219933859703865,37.69474120165099,32.50074159547565,31.638550422850585,36.60195051910475,36.33335038520733,32.58624770928351,29.59823879044564,33.106627874431766,30.54293007254554,33.62216463258957,29.056255065368596,28.474598960111184,26.637948194777895,25.188486589385928,24.011487973123288,24.968026907500935,23.07582674745669,25.19429585299282,20.956530840249606,21.027663763880312,17.604247884555225,21.869608311326896,24.222707860541405,27.62641492494546,25.327211900752527,22.204025839270503,25.63424810813463,27.376702234696648,22.27785477719331,25.733835563290768,28.743624994522744,29.23247624545846,29.85264504446949,31.99032467467743,33.98957406931048],[33.283752722583934,30.410714258341443,30.098600843780705,23.62924439286353,21.530807515019507,23.14097720770714,20.265028084445092,23.24756210038018,22.377669327649947,18.8595607641481,21.376687174000253,24.766216108386118,19.719989643119792,18.03034935535008,21.277233166189127,21.375198768030547,16.604135989320078,18.134228309274192,16.27392546117535,18.353327570022408,19.588072646856258,22.233471046431966,21.90431825474379,19.688615855611573,17.67795732660485,14.735385367690368,14.323445030120729,13.399341887636794,17.443233101490726,20.58791843663775,24.20779879249848,25.809268498347883,29.856318982218337,30.827582443358036,27.543211173503703,23.57806286537135,24.419326929605358,20.605598476024472,18.6627872086702,23.739607742642967,18.088968177561938,19.44406410759562,23.36826485992249,21.429569739152065,20.21821290787364,19.031533818847542,21.89549364253091,23.54671577658089,21.60424285061542,25.57473113698924,28.284313440638684,27.191558879524788,29.717243603492165,25.883973226421656,32.08850762801549,32.59697201958234,28.926290711735973,31.02876648683631,34.90868065303956,33.40684240108437,29.46770681557966,31.601430252876032,31.091754514474925,31.00889433133091,27.821347325076882,25.55213595664747,22.85785131786826,22.31133648140858,19.655909826256284,20.784069579125845,19.14605186866409,22.034540787067098,24.078260157884447,24.65113607073944,25.494539260425135,31.06269345468931,28.571939151746705,32.794194432494024,30.970707770137967,30.55181341019713,30.208647484773266,28.745443893998296,29.08714553238062,28.416565784617788,24.08202198880002,24.204245858452577,24.36579246395988,27.812618171334826,25.75014497860856,31.149557609538594,28.75275215705402,32.0973795090309,30.466042255240296,30.44856875951057,26.83728446432214,28.94393740491005,25.791214753065503,28.150407315765065,27.49216932511661,31.874009086828988,28.89869739222208,30.146471225764834,27.72844277463909,27.98702044353506,28.425330208724688,25.821406483823875,29.6461297659643,28.193363039682996,26.60946113762006,27.09617899086551,24.306495053832013,20.500250924338264,19.131755231289116,14.94067005941549,13.808706349875836,9.934307522114745,10.235965197496684,6.363538341068987,10.931858929027822,13.36564241381198,11.39599239501296,12.128386790689557,8.6503350658257,11.14723540634579,14.570815888583788,13.546610676545367,19.537166009874046,18.418344411880945,21.065822637852513,22.939143258099122,22.764773744684327,26.837958322165978,24.627417637956796,25.7611875657221,20.58689023125081,17.210700999714867,17.122628515998485,11.914345629680144,8.259616650517756,9.761620055973873,5.829432955170932,8.88156128115231,9.273650871136953,9.515341531536148,13.034767085495815,14.898467604003713,13.14929090793397,16.55078093839946,18.95718833353459,20.346700155085845,24.530904189605092,26.41329810493738,31.0363032428848,33.88901159394444,32.21925299852257,30.152628233835028,26.084859837870635,26.363612143851842,23.375675641525614,22.938319696120995,18.355595339994924,18.42452301636454,13.984726614720921,18.039519142805304,17.39044601804067,13.917529543978713,18.21739072107495,19.064741872384456,18.966180588665473,14.958570780784594,16.576409551225744,14.069009574119251,17.871385439031275,20.195443224919195,21.945496765383492,25.216753942280857,23.833825865028995,28.979336732414737,25.924900379589467,27.750477685004725,24.272734726502797,24.142080926472484,26.36413575643226,27.241499897315673,23.636334655641328,24.051842806581227,21.833269261342544,24.983634864257258,21.19650327416177,24.455149832112596,25.168299124780205,24.21886489474375,25.068316419850564,24.525393756681904,26.037362661216978,27.59264922887556,24.464083180995516,27.65802178377107,28.095640183643436,27.761884486340275,32.61795996528406,32.68310881300577,29.159935057497133,31.39179002577892,35.397134141224186,33.41964748496036,31.037894158134574,35.5469116132764,38.46258915152469,34.8004076174904,36.283153063450825,39.98558530642638,38.67053766912959,36.945555983315685,40.653585872980734,38.71970144150581,43.50600539026852,40.29231354548073,39.69978081590552,43.524124317038726,45.735247289003595,50.689368323264134,49.82932426334692,48.93596513069236,46.0033337363471,46.843891266757225,43.2222587942452,45.39204722240976,45.74742709014127,39.77625301209992,39.93440647605418,42.43030409530566,39.57734772035581,36.1673263085183,36.96053488213068,37.9127842168684,35.03461820677493,30.7493036395388,31.755868811559328,31.98159078976104,35.723314117868924,38.048708251296105,39.03911998116676,43.16838693123798,39.37049064570302,36.37417967200898,41.151141786232536,41.2138929273012,36.52367128404539,38.12676174775836,41.83765116731183,40.85183403661932,38.86702103125067,43.48780547757841,45.08283675705244,42.26335822431079,43.43666422327964,46.7374996260768,44.578848380730214,45.37439936066043,42.364435601749875,44.87381801526363,45.754437649373145,40.18232706268336,40.6415543810994,43.08016713875984,41.110792489534184,36.978399545640706,41.65738974418065,42.339490666428105,37.225685032896784,36.1110924719274,41.02815958288139,40.93222818557612,37.261987111149296,34.422003930893034,37.81961110811799,35.33307085669854,38.506847697327544,33.97749916504793,33.40408464934302,31.510683015077312,30.094603903795846,28.9505733468596,29.836912054144918,27.90368111281459,29.94539695227323,25.72201293698059,25.44156591693798,22.04796072811081,26.53144001658478,28.533203612067044,31.943777717380307,29.15624820186068,26.429286772860603,30.086003279680387,31.469272214661114,26.162256027330173,29.895231039500757,32.59735910638928,32.668982906353406,33.10095898215264,35.08501221306518,37.14849081616272],[33.65230110160724,31.018878264675156,30.98217713488172,24.394363707890825,22.788543429734382,23.244971987679886,20.058160434260007,22.643118594173316,21.001725293321382,17.008389345508043,18.97123958663559,22.608425195328675,17.703914156353893,15.314043204387556,18.30713480892517,18.815302876003507,14.139518533300995,15.340148993813225,13.397663979328021,16.28822510657515,17.520906031299006,20.850612468875,20.393685508034743,18.639258312013247,16.784971993884383,13.121587261320643,13.19481128627449,11.777224382740082,15.461388016815476,18.734641121497422,21.36515413368811,23.667914947067825,27.398475230666584,28.30606812186433,25.420295627068036,21.471955312937023,22.925712837411762,19.438622119391344,18.156811034790675,23.839919334833905,18.3419599623971,18.64033950236875,22.83168122074512,21.53636120174029,20.599006633452234,20.11869604730527,23.119651498680398,24.248466389856144,22.683244706616133,27.113869546111736,29.405663330027245,28.05283166892369,30.103471350329244,26.164400994387194,32.119871379769,32.437240897154254,28.54348095571703,30.330052363711307,34.160133228673416,32.83094600024997,28.392219944600978,29.917068330252924,29.009815940738175,28.907927080661395,26.105286441188614,23.70733379799921,20.256427334706242,19.475079539348346,16.25273736997474,17.17835867050379,15.27996997831103,18.015522898266408,20.30096336289671,21.187927405125816,22.281765411550094,28.030343919218744,26.076898401398296,30.290357548285243,28.92772747505029,29.019166802367614,29.004133231138216,28.21811373208505,28.569418689310012,28.57239513256322,24.359652327230773,23.715053091068683,23.34222209410591,26.470332990817134,23.82857421717315,28.873717172443584,26.032762217529267,29.020150200264965,27.286426982507763,27.40446869826134,23.8403631708095,25.67759288320635,22.624037070471502,25.54730615927094,25.251284418823207,29.99790464096954,27.215855530763413,29.200324739130114,26.87003973902292,27.839790045082637,28.980213009654435,26.636811175450294,30.8018010053969,29.88656093371713,28.268651273633683,28.137544194111726,25.27960929535134,21.233027266320125,19.143752139396465,15.192175444602904,12.69254467361824,9.15258154230703,8.420195009799833,5.0542662795413404,8.140561766426405,10.298665772863005,7.883883133389433,9.208063693723194,6.694920286867308,10.062484108414662,13.993719296201546,14.44033172744574,20.466028901044467,19.797314129287948,22.789626104945995,24.650486302571156,25.245282339845268,29.27902249707722,27.27748142357583,27.764294656190096,23.0493413917432,19.309290179174052,19.982775249714415,14.590047528019431,10.827692703656428,11.671025582983015,8.744799530469958,10.551353049771194,9.368887927256305,9.999633774500385,13.25245913391985,14.181661853831818,12.755604865914039,15.878394305839665,18.73735253386112,19.67858826371362,24.21681709226847,25.424331902708683,30.157584728530583,32.595417341078594,30.574202453202574,28.786383295932012,24.715959981942458,25.65193894526833,22.3646676252699,22.99783736443767,18.957452337906307,18.27433458457578,14.942120084240791,18.68509039564153,19.228478844276736,16.67750726775167,21.111527698502943,22.41883955066994,22.537237421804715,18.4785711959386,19.679212936657205,16.604563117131075,19.701376842095698,21.381218030069192,22.453663197555063,25.408549917432307,23.272616565217525,28.651047164441746,26.043913621675298,28.235570388709135,25.39504397111958,25.292023064670037,28.14231183100988,29.33256995634072,25.73059616066761,25.663997383848127,22.89564176894203,26.566403426921543,23.22934819313923,26.794374271837057,27.915710052339545,26.78139138306339,28.05551657221624,27.570515941683883,29.135442101011222,30.857946143020218,27.699037201126824,30.622071914397132,30.90997806125225,30.060518754023708,35.01055452198168,34.59515337056677,30.98972852571277,33.58153498547281,37.40961173304683,34.98418546061796,32.880793168238405,37.446609033132695,39.97771164422995,36.034295233036644,37.71802521174821,41.36330714936901,39.61595179194682,37.91793281239979,41.892126980121304,40.252979040517545,45.07637433101768,42.41513105551208,41.78462949471553,45.5481205460421,48.107156472190646,52.993756232957516,52.34697848848026,51.33583147135888,48.50856151716109,49.37534197514722,45.63939613841366,48.109166023335135,48.56680768296107,42.472717937754894,42.70865013473672,45.529935791651525,42.66093126102672,39.18985859041305,40.18298004345403,41.32277563334805,38.30868751195692,34.06202169409286,34.65648704697302,34.63623263668708,38.37209738748614,40.38592764177821,41.13560559639332,45.032354459054474,41.017882791409484,38.26593717270768,42.886753117891246,42.56497713468441,37.85011250683768,39.65756831929811,43.060655653064636,41.79675387707247,40.00791684782473,44.811702183448595,46.087685789719046,43.05841520971691,44.63352372584078,48.07916217317663,46.17691921672856,47.14205792795127,44.21944740229119,47.02148310210363,47.829426674808865,42.18827936328321,42.963041583909316,45.54077830328309,43.45815303846037,39.51334397049534,44.46797641797798,45.10332442099494,39.88576329828256,39.077830927274306,44.13220077422596,43.92258263662627,40.15475488024154,37.019825765625114,40.608844044078516,37.832563593493056,40.77308477841332,35.95979723132422,35.353557235576154,32.95790910122383,31.735338596440883,30.99095618050969,32.25542698101148,30.5292103834521,32.52479833967089,27.90165691618995,27.746252339414585,23.91724077368796,27.85119361903887,29.665235490537807,32.8284261252948,29.491268842420503,27.09835679649732,30.726828098674932,31.552057243954458,26.094105718579563,29.8345592078845,32.16578347530424,31.845115489009277,32.21046961654604,34.03476962566131,36.18023306305586],[32.52120372073671,30.092787033013046,30.279794790278437,23.684712203015188,22.55051006740858,22.1563330883712,18.911359336795194,21.290476225446486,19.092434434566485,14.972911566220935,16.603348581753835,20.440561537680605,15.914247217419918,12.912063094487282,16.02345728552114,16.98380011224209,12.627022226797427,14.051261403674683,12.73951149077195,16.161026269618127,17.712634362342342,21.51952699159417,21.18445722895772,19.919726515747875,18.02527048592575,13.925454308693947,13.953417106475646,11.789611238756647,14.7686921251205,17.713540354348446,19.702026133569646,22.260104770909063,25.77811615930344,26.935072558224036,24.38043367603938,20.660181102703685,22.287628060315697,19.507156744899298,18.789939257120533,24.847802123715272,19.7604664105946,19.53073106487787,23.878994764041177,23.121155325126992,22.554253327031542,22.411423247911834,25.537980256205845,26.268853063022643,24.692893051009356,29.37002458989199,31.351868515361765,29.80084688949968,31.564553806034645,27.468361949450376,33.17216190287546,33.58084644449226,29.58490455351981,30.975079193617987,34.84744661267146,33.8393394660019,29.07779235331992,30.088564147613912,28.763321878748098,28.903510612799042,26.443107491540967,23.773201431609877,19.87788135076559,18.575918849688712,14.979523070307264,15.23730895235564,13.229064779512328,15.900946840694031,18.355612841058118,19.86679182152725,20.877926499818326,26.876894190714737,25.38887374916004,29.427357675985796,28.424553743799486,28.976691618141356,28.94645947741761,28.661920038323508,28.689171810351105,29.20813392573411,25.197691594133154,23.98154225891103,23.53784840162045,26.1537562236897,23.383657067589827,27.948888814333166,24.820040068101115,27.56874958122469,25.53470860918096,25.5149734182026,21.799864813860708,23.316628815388654,20.148210876772982,23.527280584518344,23.30036531073459,28.146141697602715,25.807222064676893,28.103068559881812,26.15185712457579,27.369216519343173,29.13509018081857,26.7645947998184,31.071477286100716,30.491474064168653,28.676223616528105,28.15797678575206,25.118982008317985,21.14226893732597,18.451329977023796,14.928553393853877,11.677241867727211,8.732825918860362,7.932203486006808,6.18291276172178,8.166971198500145,9.001568876279007,5.839628329160784,7.011456130389585,5.340614404448691,8.87192711736262,12.845749727742682,14.43326959094122,20.208425427543325,20.051148382035304,23.286697627186086,25.36571140608307,26.341946806624467,30.4207906819938,28.769913105197702,28.887149863692603,24.47248385578576,20.452285525678327,21.367389087678177,16.04175036306031,12.331696047033814,13.173361272834619,11.41758958711278,13.173093310324784,11.157115438544528,11.421106323539975,14.462777505945551,14.387833917565613,12.932864404435461,15.411181494510737,18.306847955807577,18.64450288827842,23.29136533484709,23.917379691543555,28.721956236199972,30.744042902062684,28.652811346579732,27.195493020011874,23.227605458752016,24.6245687644769,21.400946922618978,22.701596757869297,19.333622004061265,18.536759699140383,16.11894459041054,19.785278679010663,21.024665799842616,19.00333648372069,23.30755015775153,24.971299862404894,24.912426550429213,20.797577517810037,21.67047196031548,18.376296936086636,21.141918569526975,22.41145433536206,23.045827376810163,25.59930501398109,23.007174707566204,28.546549886226472,26.465782900666014,28.760745755451584,26.49504395663652,26.003338888226715,29.397352724558903,30.906749700122457,27.37050214405823,27.348465791457112,24.44763210981841,28.522144512807557,25.6184568947773,29.09665693719227,30.31193013294757,28.930398973656885,30.229030207889704,29.574842432575103,31.01204186248638,32.676636813049974,29.375276832172986,32.00833423921272,32.01096654929786,30.808089402201112,35.73320702955944,34.97411425690181,31.277485117084467,34.024090487633984,37.712301959359266,34.93620255843182,32.95979142323654,37.548031235705025,39.818604057926215,35.61620450678404,37.39898648524358,40.990184546551845,38.942993711759165,37.22588481905327,41.35444267361303,39.94811338483807,44.79825482179273,42.571890313164786,41.94975491517753,45.65962866416919,48.5219573061457,53.33291080729248,52.90415193730502,51.86423350594716,49.180179912662624,50.147124325811156,46.40050650822149,49.138458072434666,49.57623595536677,43.38152420627501,43.79865148925439,46.848223241584904,43.88571530805588,40.433914266339364,41.685714451919225,42.85763130347101,39.67403449802563,35.62289058377371,35.76574449245498,35.74557620000313,39.456679567950005,41.13324733101136,41.804361571721294,45.481982406078444,41.39318753251787,38.73301533604507,43.12434674197268,42.58367299323447,37.83615891756215,39.66410399262983,42.82236994999398,41.34546219502662,39.628920958767566,44.5442329464173,45.575448743382815,42.35249994287158,44.17843497317785,47.73601946932901,46.03041821425105,47.18492532419823,44.40421615630463,47.42837836502406,48.08041227628703,42.39526940659152,43.491691509549455,46.10639627533112,43.895179129849275,40.16544945802941,45.348861285215975,45.864415051762506,40.567661888161396,40.089213271527896,45.23050541997879,44.86394179610963,41.01468822680789,37.61930882369026,41.35145960523284,38.33192023903362,41.04893021574501,36.03189661296928,35.42428846587798,32.65504272269339,31.572208028637274,31.162694010421042,32.729397306345014,31.21135259126975,33.19454912218814,28.32569853883622,28.396340578880356,24.265006453948597,27.61470749939202,29.386059039429863,32.30554211568145,28.70059746591907,26.47569798233047,29.947151558957316,30.408198999963577,24.93190518725023,28.499120671773102,30.57414859994973,30.06166576804617,30.430938248818823,32.1986365690116,34.414839914829535],[31.187616560045353,29.03188288722522,29.594942896578242,22.97987341387923,22.70980943037826,21.427503586722462,18.425637214547365,20.774143508337794,17.867712940042175,13.93901420144796,15.209839674927844,19.356595432783013,15.667019004609672,11.80381627396542,15.273969602761923,16.92509824963626,13.276857568148529,14.99766134603583,14.371360106387405,18.1939890746907,19.871260199363306,24.006545470607538,23.659171410523655,22.721810457626056,20.96525740029737,16.666532163565098,16.76568478839857,14.143719475906932,16.31544465217542,18.703819311768722,19.898031922498298,22.642504993614786,25.84313019193996,27.35027588826551,25.243318275911886,21.885381646348183,23.601431724451892,21.622729532207575,21.371826406251895,27.629850548734762,22.874271207670294,22.295594211214063,26.68685672885043,26.29662182880988,25.85204546103229,25.882369244447375,29.00295038794018,29.640645393399872,28.135187952638606,32.92900586522922,34.734621669394855,33.03618784417263,34.572436627270086,30.44129218179947,35.90172310065146,36.35627278959666,32.35453388484213,33.44441351770226,37.280718910918566,36.51017599318865,31.531110294771608,32.06468970611898,30.368506675418878,30.642174693508164,28.562385031772443,25.752129101897207,21.415352168348356,19.70062673786937,15.706299933681684,15.140924361613147,12.944312330956217,15.138901711551082,17.984839282658562,20.252191316216592,21.3103381786386,27.45733172884138,26.59255790741749,30.392026759946162,29.82197372031833,30.836167666023194,30.79491693345311,30.961790630262854,30.6418339681128,31.590716253175835,27.784630304614907,26.14211634164216,25.698171814737133,27.772503234654504,24.936806286476106,28.896042924611134,25.4691377967832,27.822905227511452,25.439920952801103,25.236541531884036,21.356133107868462,22.296914388349748,18.92686915418181,22.975776429227754,22.724327821588904,27.509890682153703,25.960103342105928,28.421171616341265,27.09082927924773,28.361756896591245,30.771565428778395,28.205780258515524,32.52729446806779,32.1777230420057,30.023313170792978,29.245562453233653,25.87907538051269,22.244601175947587,18.91015260161154,16.04783110472925,12.418266440726171,10.292121788134619,10.02510832757153,9.521512168494157,10.69183361332918,10.3883981933314,6.873289542267311,7.0819007185468665,6.13718758715458,9.097276004721335,12.669868532330089,15.491059828890323,20.72285726107694,21.30436857195057,24.75449916178364,27.232998483148357,28.295055657172664,32.48272963505263,31.230618621225425,31.187096161644725,26.953330457424336,22.73919407547374,23.52721318141028,18.416156044834324,14.79086673223806,15.98720767330828,14.886716817334117,16.819781244183826,14.586912710403048,14.577823619485995,17.481122653813898,16.671872401142874,15.109883275816891,16.785347865099933,19.454108609180082,18.946132381893804,23.53358496972,23.4172084116073,28.32242961741131,29.671727381211173,27.69642026650676,26.797515056638886,23.077131382066206,24.95477705922934,22.051410487261737,23.896423564977432,21.291970640042543,20.655434557161616,18.929205018650222,22.58905154757965,24.191587415859715,22.386499709867056,26.508884035012045,28.311207222646672,27.978355952697044,23.835650156863665,24.555959249948156,21.26679159145708,23.950330725220173,24.95498823346629,25.308326293204463,27.44878335720919,24.530712838968345,30.17211129555304,28.632563523106082,30.92662668561311,29.110063991434224,28.1559695428389,31.976850537039283,33.74156111648944,30.289390201113473,30.459187804945987,27.56216741575823,31.843757338691063,29.16691010620036,32.556184391819066,33.74404811809446,32.19247534053701,33.36823963101647,32.503504951227086,33.749348226700015,35.226251026539394,31.700089461109716,34.07545728994513,33.67344467703617,32.26679540499803,37.061426520988235,36.06112532787404,32.23041652694174,34.92428038600322,38.5140287940675,35.40642473801634,33.345539084383155,37.94883385635016,40.081038193917294,35.49854815881972,37.25039853848066,40.81976334747859,38.51929898384239,36.61175029432352,40.83806354690222,39.65950147752024,44.58329987831765,42.69019161207938,42.22746838772779,45.9196516783368,49.12053090656207,53.800792313125385,53.6696502093217,52.753151776299816,50.285679519160894,51.448929104900394,47.7982166757176,50.781831522500966,51.066874013148464,44.78177859078361,45.49202488001519,48.65882014597636,45.50458143463071,42.16443980812479,43.72870350841686,44.73540942004368,41.341397366671934,37.66874071683529,37.35100678132284,37.58801378186233,41.26190109617664,42.580653482407214,43.31434260185574,46.77158047342467,42.714446837103225,40.033235166019104,44.10064044635153,43.45217262989986,38.65088536134877,40.32843897569103,43.251545006716775,41.560816728236425,39.79694988064056,44.79006794207849,45.583292540967896,42.088344570762224,44.078266178977216,47.76634741517343,46.23613264418662,47.67665488726399,45.13376015404593,48.34569471158593,48.70014489330822,42.97216693108339,44.47312745657296,46.989953759984445,44.584370579221,41.1444263184447,46.529265044276855,46.76833774043615,41.38965345851853,41.33442409252851,46.48061819409658,45.82222781773461,41.88028098473082,38.20046975944503,41.9325259222388,38.60377260064969,41.15716843607416,35.96366034523913,35.54405490717179,32.44378662600584,31.32102405288635,31.33063355340262,33.12044616802474,31.951063429590512,34.08694396317404,29.12080776009533,29.61893001426036,25.277533384563434,27.794432709916176,29.728245030230312,32.32517541487133,28.652509363987498,26.44464545421694,29.51014254772203,29.677270230870434,24.312711568728112,27.33223090267345,29.247516465677503,28.644515722284105,29.178605366295088,30.847607324692504,33.077840823873665],[33.242317954102305,31.217569933062574,31.74085475878454,25.346574025111195,24.92546905460332,23.251642075027156,20.014700269266505,21.743584328255967,18.634603021214698,14.399237480664553,14.923239779233679,18.91118707411234,15.290860213814398,11.276693343696044,13.885448236293655,15.686026296045622,12.39104346174415,13.495324708772111,12.908767394260476,16.878843012394373,18.413338128339156,22.6903807646388,22.313378419632986,21.723387614952557,20.13785533347649,15.819722674339689,16.225461745498485,13.723520256129339,15.351397076565046,17.751182758400095,18.0926040141233,21.33871838678285,24.219298559768564,25.487290819735993,23.665440458802035,20.388651835098685,22.529316707997655,20.706312334516298,20.85060347238052,27.09310085747507,22.596777853522813,21.434210015823762,25.742894526470437,25.73315540649159,25.458276667204498,25.800502483516095,28.972128345023183,29.31811475312034,27.971933782751027,32.86228520518652,34.39466022971348,32.660149576942445,33.88311253228299,29.8713300163144,35.02359613468356,35.327115595037796,31.327352304590047,32.223119360163764,35.917004599156854,35.226149905270255,30.098635045187287,30.29135121287002,28.440083608323906,28.696123427005467,26.87350142642991,24.09896622050272,19.52346580458406,17.753686702532924,13.68707659110607,12.981234266102966,10.826702295853634,12.94190398186447,15.633519983772485,17.977031050617253,19.084466192448822,25.146186965553312,24.56877435807792,28.2954857374976,27.982887816567406,29.2328471486037,29.454264720337378,29.98439862837999,29.830708678642278,31.09436626086504,27.456911392185848,25.471439476177917,24.620750963776885,26.517504238736727,23.346160905393877,27.02406641428056,23.42381570368343,25.531840641882255,23.2122138015427,23.194875843745972,19.53440020249006,20.399593626578117,17.316956166421317,21.560801663169944,21.73543742186834,26.78199953060659,25.0766675688197,28.102125263402563,26.593686114542894,28.447763099807187,30.99896515141603,28.887152080715076,33.318460340150914,33.278614216585964,31.395481614167895,30.29024201852071,27.24364096138756,23.399223428084547,20.074283623116056,17.388713941275817,13.263768705101954,11.808291964448514,10.575527296333215,10.651902017407075,10.227381758269376,9.483055168332921,6.726669514381079,7.459255921519576,8.63195642226313,11.167690921296305,14.499014025646092,17.482672996153592,22.580881585151534,22.95817196742264,26.32457172123795,28.428837912790943,29.971964726968103,33.93970964022573,32.608402197976,32.19924950886047,28.32053950201199,24.159542019362984,25.47401677081062,20.397059120589383,16.962920197877065,17.471127489369472,16.44270968209626,17.658141960298273,15.040991659937527,15.34794082193213,17.719954436726,16.587804143717936,15.562422307860723,17.06133956098565,19.963814993974793,19.512743828398634,24.14414163344232,23.772665196436357,28.51057545178749,29.7656779831362,27.402177969441432,26.511164216403085,22.828730900364413,25.02571550549332,21.826284071462382,24.299139040369532,21.920154153351273,20.65802394015888,19.586760350216103,22.72880512942174,24.895720561502266,23.50538792850058,27.695704749019338,29.61975716155933,29.596463347577668,25.54027234338722,26.12995942855622,22.65596504397518,24.823064227064243,25.474730078274952,25.44309877777366,27.41436607757872,24.16261920426907,29.689097248406426,28.332388861941375,30.837827693274985,29.36468441055892,28.70158100810915,32.61876374570609,34.419566050634145,31.01765202781395,30.728421270246177,27.5676161367462,31.944523162605016,29.53064563034348,33.07369035777469,34.496267728781824,32.97973205968997,34.48644857583143,33.80261486040722,35.18300247523875,36.8902766596645,33.5829126420002,35.88284629112954,35.64719987756139,34.012368489595886,38.846518216335994,37.62704816741273,33.925449446142686,36.883616583175474,40.30474264998635,37.09618978924887,35.40256524020161,39.92986461587806,41.757324064894725,37.283724211803566,39.20346002678421,42.65050326375012,40.16057439272969,38.462488767823075,42.77631932465147,41.741302988674946,46.56472456974415,44.9886706009028,44.37713742871375,47.964925933892744,51.20168827968162,55.86080373535124,55.71682303241093,54.6185072475911,52.11477794737786,53.158515163651685,49.38562368708919,52.43248495893529,52.905657324727365,46.6428092791287,47.2149834252497,50.54028301030853,47.53985598470796,44.11444420230222,45.58913644663064,46.86951694812229,43.55721044433499,39.70013085923826,39.37678135853281,39.2378077251486,42.86887012342021,44.13597372237829,44.6186895975003,47.958236741283486,43.76122894528884,41.3494969469135,45.42340987302765,44.510823341851705,39.82583216302812,41.74479278871158,44.48657157399537,42.70969834825995,41.19534551267828,46.21201921873772,46.85046755384714,43.4018105588167,45.628160663984616,49.30619912063616,47.9182256763259,49.29645531668224,46.70801291293272,50.010229661120945,50.49659477022262,44.82432329663666,46.30287560810939,48.97514761207343,46.63867888187503,43.21610962324064,48.61713764240281,49.016291030402215,43.68365405211491,43.59035965591527,48.78447100344022,48.24256645308742,44.339421441838574,40.671141752035965,44.511821707139624,41.22467836868645,43.631824630125976,38.417028212542206,37.82869171645493,34.58962708316056,33.72195288031775,33.78374540726305,35.7065206343429,34.485165676987144,36.40729027390986,31.33260245617784,31.616646586507038,27.239728675704544,29.77568272908866,31.3434743772213,33.84622159678895,29.82347855209923,28.033280997203725,31.235954339410263,31.05402257426328,25.687631251323992,28.93212993382686,30.437757437294824,29.483559809786342,29.759899741616625,31.34781805314731,33.632982123702604]],"stdvs":[[1.7085057939514936,1.5873614268862575,1.459784369388392,1.218430657102642,1.352324513405957,1.226177480802892,1.168576049147178,1.2336936288032585,1.196484003860766,1.2544584911543735,1.3162863526482966,1.3634682892713903,1.4541124280419842,1.4281856159760264,1.605479863066479,1.6554127807967538,1.704814798361486,1.872001726445223,2.0533475710136124,2.060043551777351,2.1411463862722995,2.1462903701105867,2.296410843032259,2.3338893502521576,2.3172150310074966,2.16822705751402,2.0710453944974385,1.9483972259091131,1.8695624206886678,1.695146844993776,1.77232104049642,1.644467973304025,1.676122748206009,1.7772461059712703,1.800019986169293,1.8770811359177753,1.6964538744647233,1.8913908124865149,1.9336932197916576,1.8802031416723866,1.9899161647872252,2.048635408810355,1.9247252307247789,1.9222546387236774,2.012864336274294,2.1612854148478515,2.57128372187919,1.947554612134517,3.1662113790210658,3.5785867665250106,2.4707308826348546,2.6102205213854126,1.8096411260610135,1.8284162858837103,2.0315394396034656,1.8258147688910529,2.063145752514331,2.675866624167155,2.3001052416589154,2.315926929888539,2.147659244957577,2.0911452145269736,2.1102530575876908,2.174140376729978,2.1807713269878155,2.055089902209649,2.1046569394345838,2.0278034195280936,2.082801662395546,1.9063981436310873,1.9267366763656713,2.083724216565793,1.9502970526132837,2.150200743090222,1.9834376625872672,2.2129594013457266,2.084179589517795,1.9959741772019481,1.989658396429147,1.9595001434363444,1.8520912899996456,1.874801149304393,1.7752486341717828,1.5723047775503751,1.7066400765461178,1.709909401423015,1.9004150877795898,1.7594881550977552,1.9471713891062128,1.9076920874495558,1.9468583951166505,2.006121576093375,1.896681723715437,1.7430836213218004,1.6829906381678568,1.627777538778009,1.5903649876318902,1.612332214731136,1.4928309739438366,1.426067251021485,1.49894068670796,1.4141978877235528,1.52421123028268,1.4098728183648712,1.5796147252689205,1.405438909864639,1.5307591923540742,1.630412465577562,1.6118317192919482,1.5523464834614673,1.4815931809081433,1.3119504760728384,1.2728137245255136,1.3426126543588583,1.4429712974637634,1.504843295840895,1.762524180531501,1.8846268007794986,1.9423642513376969,1.843270326179388,1.6761239754374855,1.5461529351667824,1.447712565564469,1.2818919146680094,1.138480345550174,1.1906327917457349,1.3680320663160368,1.330394436926287,1.5106104842424901,1.3786215786796518,1.6550963866521207,1.5573315819987266,1.311190907238939,1.2431484775564177,1.2292186801362825,1.34797526488588,1.655452622764769,1.394625583001265,1.6938990176469804,1.94696941868011,2.078744750016149,2.2983492523321094,2.168177952608823,2.0502851291364084,1.994729585697222,1.8690746340775173,1.7781036084617008,1.5634199288846193,1.4113666717238043,1.338487623765064,1.3222525933786797,1.3246512700165527,1.4336988413012164,1.397865769062081,1.4078606261263686,1.3450572110864507,1.3572293403012479,1.3564157023498153,1.4799069565869538,1.3747001044945422,1.4691867079903096,1.6654752715509922,1.7928705681394388,1.7972893286659068,1.6290397310221476,1.920462810580337,1.3565693390640925,1.466115454165951,1.2635908323766003,1.2572227369019355,1.1005910761713769,1.4969567344637362,1.4604414950742608,1.457677826239406,1.4938529762577593,1.4814392986013447,1.537698269728461,1.5126207770531415,1.525318436906218,1.434211871519918,1.4360406109388777,1.4105508176623724,1.314671404919786,1.2267427720960484,1.2858225293829875,1.5063932023361952,1.7950011451947614,1.7780814178719089,2.0141537743076428,1.7046641860657314,1.6669939826178208,1.8015240202316685,1.487766999642566,1.398678538272472,1.411346698057337,1.8321208611675477,1.883808825417476,2.0382024100529628,2.2403790741542244,2.010839633359844,2.1362572521712986,1.9172493623637543,1.8220184071844587,1.9985824554491645,2.0022721327660586,1.791068085841331,1.8134525056997532,1.9249271756263426,1.8410446723763711,1.7057422906864377,1.754195797290405,1.7921102503967161,1.6481113214645287,1.6415758057975025,1.7361105858030945,1.820631221887344,1.8926410690293392,2.000557237444881,2.0094394298628155,2.0345201831844,2.2490252011049523,2.4863059488968915,2.463509712344601,2.220093676481936,2.2363290745760476,2.2847270058193834,2.195767603129601,2.378955708724407,2.3259270679848867,2.333890996865106,2.3220049869440347,2.4598488382955876,2.4570453887078756,2.4054724217806402,2.632881034216723,2.647605894633409,2.53756317251494,2.523435589344742,2.3284362478856795,2.057024697396284,2.212839701609294,2.140323911673058,2.1206976597598834,2.043310478065063,2.023405079812702,2.0492618749113287,2.058660605843774,1.996842261239144,1.883969759940968,1.8730832417615846,1.810898362766902,1.7510837922571811,1.7328647514552509,1.8486205634966897,1.7690414240625454,1.7244614665528772,1.773052683232811,1.8413754098488428,1.9227480076068781,2.001951610428552,2.0093507793850227,2.1607237666624752,2.106656116940823,2.0407350991348174,2.1753483085033394,2.2479950017300587,2.1844405236382176,2.2296403773160405,2.3979035404835427,2.3503001716150727,2.238210612814145,2.3745203199638136,2.4990306508052216,2.34397390350139,2.2630425585445106,2.1570450073995033,2.498011861808676,2.3764366328079833,2.1106372982160786,1.9766142524015182,1.8868122659839788,1.6954775583232182,1.9587815584769586,1.9341341889802846,2.0667313170359276,2.040676772502262,2.072261461982997,1.809606423749348,1.9336727357403076,1.6893730999587944,1.6259090567619499,1.627607105499175,1.6180791508060672,1.577639586756581,1.5179796754126267,1.620066669333309,1.4412894531927471,1.3123691543113136,1.3445145210312361,1.3002830161027623,1.6480471556596625,2.820726918244148,3.283127387413972,3.7744092033197782],[1.3628164722989158,1.1801587020271456,0.9627795673709368,0.6165977992110961,0.7549734696645592,0.7309339386077829,0.7155650623062537,0.7668423506844291,0.7592321557921804,0.762782106012019,0.7824391213772253,0.8335664989043486,0.8624336679620571,0.838783313421787,0.9529795450330708,0.9531562737665285,0.953906100961731,0.9903740804682902,1.0103592486404271,1.060021019381635,1.146490537734956,1.144442173474731,1.3541985160284216,1.4212600747308985,1.4075728758298245,1.1398875779807909,1.024328258955737,0.9730374144640662,0.9790467805313031,0.9120143797784255,0.9222103095880579,0.9003617374559753,0.9321501133983834,0.93345222955933,0.9441608449067408,0.9704871401985278,0.8948154961535527,0.9002211177612455,0.896633244333872,0.9339624622938696,0.9120799124719069,0.9639148883724713,0.9463274409928443,1.1970540268296181,1.338547403015007,1.7626692677896652,2.149226337380365,1.407432770520091,2.9550416450778494,3.391571012354769,2.046554059219583,2.2018807927499884,1.0787339122389703,0.9472439248739287,1.363345978408614,1.0445036669235017,1.052293492901792,1.7375234933558408,1.2850621194122147,1.444767195533587,1.1739992707999904,1.1396134501827029,1.1341059060620888,1.1677735799280786,1.170860585814469,1.1055943606581844,1.1567940815935907,1.0377966049007994,1.1173604220583195,1.0333616795843148,1.1376278429721245,1.3003876176853704,1.07528175080354,1.1809737201376094,1.0838187681997056,1.2212587602415768,1.0409531006764996,1.0048358960832349,1.007822689048322,1.0195116215242181,0.9290093528575031,1.0662228946798311,1.1024305871454252,0.9447285457091321,0.9862240977863038,0.8507363860078475,0.9375200358564822,0.9047679746019,0.9741701012273594,1.0220200264325388,1.0187201100114183,1.1355641489032686,1.044587034247012,0.925706091527544,0.9270083005442035,0.9283521266847186,1.0279723541713996,0.943377164194848,0.8901569548963538,0.8702084120433426,0.8587208260479783,0.9049611151698822,0.9051034386652351,0.897424306199287,1.1600974664951846,0.8990339310472808,1.0173574531958967,1.235533369242015,0.9692667931704132,0.8876739560606439,0.8804078509956771,0.8352068431873843,0.7893515151723313,0.8330284494559537,0.9364704908252389,0.9181354195039099,1.0091150973549954,1.132668704032834,1.1529633046271015,1.0104222521142658,0.9905000794377076,0.8835710383938065,0.8382501716008856,0.7575493720045973,0.6644618652247241,0.7503998709646926,0.8787128628305407,0.8468947203178132,0.9223265195507158,0.8752373131994317,0.9612333332030089,0.9305001169172772,0.8394058972090938,0.8073499917645418,0.7835539389776751,0.8829258206400188,0.9059440474871194,0.963360543083128,0.8968821392692503,0.9463731326538616,1.0680914962374541,1.0865049425258004,0.9987313270027768,0.9502280375901266,0.9050545766668134,0.8946663173589305,0.8992589456547717,0.9055134629340927,0.8716287714468961,0.8423825167638735,0.8304912725871145,0.8283192709609424,0.9527750849430833,1.0668981773735389,1.0054094832663927,0.825786455669196,0.8117826268479574,0.8371002624756501,0.8936234383522733,0.8555688840500139,0.8510035921747846,0.8558690715437594,0.8515384624265069,0.8569997151007662,0.8145240377780327,1.0374740167973635,0.9618260928509783,1.2615071849998336,1.2696288801058104,1.1944785229890715,0.849915516846086,0.8030215237493428,0.8047302139843789,0.7755976175646216,0.7843741323094839,0.8470943376753098,0.8476618622732324,0.8556299010019521,0.8225843457734793,0.8101352596518815,0.8698809702246169,0.873015131874397,0.8272030135671008,0.8098153965075956,0.8008982863316453,0.8307556375090613,0.9712340509433831,1.0434280143702086,1.594317406564789,1.2745139163922357,1.3064601048352167,1.4580537989818645,1.3102852789167079,1.2139522590805973,1.125806213294541,1.4416139975123312,1.078972887017361,1.1798004642105993,1.2043345682278526,1.1480587883239515,1.1334427114787635,1.02736701508412,0.9686251277307883,1.031140985010441,1.0146407624385252,0.9398392537317014,0.9815198400469963,1.004134815175601,0.9491932285994906,0.9663625613750232,1.0169376511937795,0.9901765749116959,0.9882002332287706,1.116799341965767,1.136664136181186,1.1983267020003676,1.0905676330271934,1.1272821495379277,1.062085056760062,1.0671937253876762,1.1627376533547935,1.4726086945060284,1.366168356090477,1.2730788191350846,1.1861176665028286,1.2323146139462866,1.1851088331083612,1.3511220415406004,1.246897819122584,1.264300841910033,1.2911605522443583,1.438848508551701,1.3549270891377272,1.3260804190765325,1.669956107747974,1.6224630236471245,1.4668435869335479,1.5574935100936382,1.233007230202281,1.1560632400639639,1.2245768267142298,1.132486379974764,1.226395956891318,1.1745012532778334,1.2824993584585678,1.1623842643963522,1.1204862717320316,1.1620208043728615,1.1082832715252195,0.9965131037433652,0.977651690184617,1.0090026870581201,0.9376609961863553,0.9925620099445557,0.9869690933895879,1.131878679575138,0.9992125997963417,0.9780486261478184,0.9821589447788874,1.0138286092499125,1.0435551572344481,1.1335768315052066,1.0475475016278357,1.0210990464678893,1.1279897961740417,1.1467078604113818,1.0804931357105945,1.1417235620564874,1.2985018599068179,1.245606817008669,1.1612445967806766,1.267178931075215,1.4189120376337931,1.3996460962037118,1.3384607357644043,1.270723483631962,1.6725374184918644,1.667882246226695,1.318683150261429,1.2917396408827095,1.096852491022794,1.088079817269796,1.407502008521337,1.2624242814965612,1.3760952959592485,1.204878650684089,1.1075221488676916,0.985717986926748,1.0227893337056584,0.9501416102847187,0.9463726433047355,0.9339040687707818,0.9213105472238072,1.1245628448650218,0.9103556684247284,0.9729800270532684,0.861436191309706,0.7936579006801143,0.9042633575553582,0.7638779826459481,1.438082172359252,2.7495803745722998,3.1251318760619817,3.5976064369916942],[1.4446518686546796,1.3463122292343153,1.1496921320234086,0.7191173738668728,0.7683039438853316,0.6638559218029993,0.5072108641806804,0.4695852747941266,0.4236528686110332,0.3446873930331922,0.36980193144327295,0.42250257477905756,0.4171294718986082,0.4565785610307282,0.5802280068389248,0.4980406722657285,0.5172773923128203,0.5526614452183405,0.6624730685640559,0.6667499913212611,0.796871695991564,0.8400956248947172,1.0716145858814856,1.1512653659152376,1.1464963010038438,0.8659487347640237,0.6737300459966066,0.5648926282298538,0.5374746723257394,0.4366747367985393,0.5043175943634248,0.43819729780571093,0.48168200762499075,0.4969362857491954,0.49470627424436076,0.5302066503353159,0.448887057930062,0.5383382829392395,0.5400877548233537,0.6162191972865761,0.6421110941132202,0.6658379942602212,0.7010590424456362,1.0707743541468953,1.3921345780669667,1.8542442696422143,2.1907227115286707,1.3806925538713621,2.8886538981547285,3.2579336967428065,1.9054075391180334,2.1706961253255783,1.0391821157605479,0.8090411724539808,1.3170998636984477,0.9402056508712151,0.8287710976174131,1.6925117827144214,1.12851501293019,1.3412733092726181,0.9685791454360554,0.855504557801282,0.7800174616818787,0.8449764782436228,0.866135571903324,0.7748582071698911,0.8299949230014634,0.6275577859715926,0.7386176070216655,0.650505523301487,0.8164100990222524,0.9968809023218732,0.7218141020054346,0.8190519795048247,0.6762788797158459,0.918215073956871,0.6307957506191829,0.5722197141386522,0.588389010295114,0.678626401516121,0.5473852809888884,0.7377484592472733,0.8490692103101821,0.654955659170512,0.6980809820491848,0.49214909208816565,0.5671416493197962,0.5320962718326062,0.5551449858538421,0.5561615748940026,0.5841097586545957,0.8046668726980952,0.648329790477265,0.5042170140100526,0.49700575140169906,0.5412176368812855,0.6607187199363034,0.477645078075546,0.4019942966305,0.519452847050474,0.4141703232567353,0.576377620005529,0.46066571526133376,0.4490757758357697,0.8820279139761211,0.5615021187441797,0.751103635739738,1.04014317192308,0.7406320056414928,0.5654710602942068,0.6253203597617218,0.5121751860369924,0.4281105297543236,0.367292880165801,0.4594549787387535,0.5403692910443464,0.5953509653701405,0.8338998440295414,0.8098967637438805,0.6080833541814081,0.6463704638562876,0.5110931787609434,0.5577040612711026,0.4385981400176931,0.32844167655014933,0.35823822845520614,0.7187925062984771,0.5306524562256124,0.5419372121815053,0.5610787492856696,0.5733008084790808,0.6129018598646275,0.6429533422173087,0.5783840878394398,0.5693393367689856,0.6332834499074517,0.6293478455558176,0.5431202959251816,0.6225616262775728,0.6867605181048235,0.8813917997636926,0.9451102406734676,0.7367150008113562,0.6092671219496415,0.5626296734009553,0.5233110763113711,0.5105264448088184,0.440635147970793,0.39448022859398746,0.3989283625192479,0.5269554499149799,0.4322403733881507,0.5663448588050517,0.9963093859396078,0.9893686698880724,0.4764433912737473,0.41331480821783584,0.43399565059600625,0.4202163739897178,0.4647909138092515,0.4486484984335689,0.45552664292763767,0.5200246322433888,0.5517123712301214,0.6979181608758759,0.8711267972998494,0.9622268947826295,1.3508670054012695,1.41178832405734,1.2584072005436886,0.8853832655484545,0.6754673815970277,0.6263960463319245,0.5253920335664588,0.4493434690591249,0.49743273204437327,0.4526130079611359,0.5066879452635142,0.5273192176296762,0.5352784432502137,0.8723268874074477,0.5989117991387519,0.6752903805353782,0.7119212140730744,0.6925189824853868,0.6931422586594956,0.7405706136446898,0.9425178796860368,1.606165832848696,1.308157325837126,1.285645949372712,1.3717566874205793,1.2997636057345177,1.194807140295984,0.9250831673120686,1.2088413760063474,0.7473274531785806,0.8309677720334698,0.8379239768433094,0.7816578528858972,0.7603921942145742,0.698174418928965,0.7037062155167995,0.7946664578923235,0.7888190793733223,0.8734770693644239,0.9799376361064115,0.93578641475673,0.9089709138167639,1.068099792398147,1.1250907216477348,1.0915825128868066,1.1777250934061552,1.322229597915911,1.2840015532517421,1.2687537118189172,1.174197327761497,1.0934911198528223,1.0092305520282374,1.0171211172804175,0.987526321338289,1.3141091257076993,1.145402724799178,1.187918873001665,0.9590363632059071,0.8963496124071826,0.8385749137502415,0.9410796922585434,0.8962140434960811,0.8947467257239606,0.8899642370831246,1.0703334208608997,1.0325341784979258,0.9452988941997063,1.3229614630255837,1.3390036407324772,1.1822851187724224,1.3060961286781565,0.8984309216894346,0.7977311659000854,0.8279387916186771,0.7788617369778248,0.8535779860794632,0.7937835769972499,0.9139459255562584,0.7683754615005122,0.7800173490410813,0.8150935877092997,0.837668358720348,0.7843188356250874,0.817389823823276,0.905774046237383,0.9157319888847293,0.925700386565785,0.9718312654928785,1.218491443959267,1.0385296082519433,0.9613962130458311,0.9164753249079292,0.8514601568867779,0.8338674506380463,0.8409134729601871,0.8400651667652342,0.8612953863496524,0.8442291894289973,0.8892171379018229,0.8830051752127166,0.8966361308064692,1.0319257840197196,1.0603148281016057,0.9784240950710005,1.0026936963623658,1.1217345342747655,1.234798077982357,1.187877712580787,1.1815133686315935,1.5698909589295162,1.6339396899684109,1.3259939328652632,1.3698314746841713,1.1669101474488297,1.2532249198315424,1.5197174538314766,1.2987840712228014,1.3596101528693931,1.0876037526564044,0.9567031670347279,0.881032187282843,0.7337963976423659,0.6402339612653567,0.882328794744808,0.8098788139327806,0.829987489189808,0.9466659501267687,0.8082260315516979,0.9165009475518957,0.7862375187964971,0.6596066198482291,0.9351631362886783,0.7953055778438806,1.0573572890883667,2.4566250720606924,2.6363458275587486,3.1348940963654517],[1.0679013684141117,0.9289698138031904,0.8735213616771286,0.5767855515383226,0.5102943110770018,0.4009200996237079,0.3602418261900018,0.39333999434394024,0.4083324484642996,0.4022535642484933,0.41785474273925116,0.4695807751217793,0.44928518480984303,0.4568180418799846,0.5040680339179967,0.47619157624729613,0.4718686977050068,0.4446291703765777,0.46009615840474893,0.45943685212329105,0.5060265345441171,0.551078004090896,0.7551069041542268,0.8508490820564821,0.8910012329938686,0.5642163934479396,0.4221123757960312,0.4053122931227418,0.4454098576348324,0.39578316831692384,0.4463021038084709,0.43145877445168707,0.4776254145513604,0.44288135376273197,0.4467909469468562,0.4396208963477394,0.4070137246228735,0.43789057897495715,0.38829322831684826,0.45514937396387717,0.4165151008152619,0.44887565494162784,0.4680874604694684,0.9256564023319594,1.3681712952588216,1.8068074121663662,2.2046707506813936,1.261723621149482,2.7624205254023586,3.051010582548345,1.6581448275066522,2.032321101749715,0.9436153813664068,0.6560260046680131,1.3574634139628428,0.8117447312051836,0.8180597164972974,1.4689893481066383,0.9657796358257361,1.0630327072626684,0.6655542386958191,0.5929730185018689,0.5939104760083571,0.5822494175085532,0.6024148112709624,0.5226223294464417,0.5586665585341284,0.4360357394649692,0.5780901994211077,0.5248856224394463,0.703503077210371,0.8799991334853047,0.6015989542466238,0.6713263530974405,0.5330224413719257,0.7834717663223635,0.4673211767601613,0.46545847256820067,0.465602449227283,0.5303542229514216,0.4581715475495759,0.6186971731663209,0.8469523526437944,0.5776050643822648,0.6295338662501584,0.4288527869933837,0.4322408682443772,0.4430011004555175,0.42977364813035684,0.5232240253167993,0.47836963990287223,0.6476452483058502,0.583422299593123,0.4590189548239185,0.47799618054245024,0.5279045437464431,0.6321869539808672,0.48997625937222306,0.4271509543624494,0.49602984960402025,0.41947615112380504,0.5445013515663172,0.4458184977564886,0.4209393271955661,0.7294413028001631,0.46224077913535666,0.5673290996878481,0.8810047447533205,0.5583056799657155,0.403002961443368,0.36717405914231643,0.366644280217696,0.37068633629029096,0.42230909128740374,0.4939449526685062,0.5029561237558655,0.5351041928423832,0.6426885814551992,0.6243807458695367,0.48845820618827945,0.48663772190485405,0.4711974163074463,0.4630921861535916,0.4426125897498647,0.4088820095198082,0.3862622769016815,0.46546242186557324,0.3438426993803718,0.33859203796485016,0.38037189620884787,0.45681668090124333,0.4552339842166539,0.4512247005986996,0.42083628248300475,0.3877669265336094,0.4631218510342013,0.4847023883851928,0.27964092308144956,0.27754538693668496,0.3233770081785188,0.7012574840498335,0.5682710795715303,0.4007147208420214,0.36637491309553594,0.3672860836716458,0.4189086241478715,0.4339173489789893,0.46636953722104646,0.4018713039144821,0.38984044428860226,0.42436736968281213,0.3885264460067465,0.5615433798800713,0.8777093362374113,0.8825923658713581,0.4309524929180884,0.3941804416626209,0.39539213561102493,0.4250323793725357,0.4119600715075792,0.3607420624947306,0.3723126865775921,0.3254864314613162,0.35625938474972657,0.45582394804014453,0.5345547863998853,0.6277208133654374,0.9215853465859187,1.0703119016826825,0.9934370153022771,0.6749057848555509,0.40988085628616006,0.4008981776077553,0.3934105676780033,0.3558428434252179,0.3940554679124974,0.4019670930833489,0.4642299417712051,0.4080402426663782,0.39858588167056325,0.8041611920731204,0.41898391797467954,0.4573558778729843,0.5067851046447259,0.49098649045314685,0.4949908279090192,0.6004253708942573,0.7782986031589616,1.449822739816226,0.9841668081707386,1.1668726317764309,1.065412155120847,0.9933655145410046,0.9734950247552899,0.7282591673862202,0.9802352790053692,0.6874087543843006,0.6784300936885169,0.6878334201703397,0.6354067544001356,0.5239204345130354,0.4335184870544264,0.40110121584855746,0.4052748657774381,0.410533084401117,0.5407508659436532,0.5441990024326889,0.5150089577720249,0.5446749680519366,0.7103189254808011,0.707601030531311,0.6850048751605037,0.8447840188590654,0.9414382834188055,0.8975288886147319,0.9538372668720362,0.7302686400418402,0.6391369012794063,0.5279620892266896,0.551119333529816,0.503205890635547,1.0985904387262764,0.718173292729834,0.9925180498185658,0.6319318876505942,0.6371739096266992,0.6134023077453903,0.7618842086538002,0.6174643994942666,0.6514031157105221,0.7159226578716614,0.865072433414097,0.8082771273623531,0.7381094082122207,1.134096142334267,1.0722327596430423,0.9740775861165706,1.1712755470372267,0.7104119411751516,0.6049953708418896,0.6669005030810486,0.598473901516989,0.74372642650456,0.6878036781152987,0.8578143519166398,0.6511716362109776,0.6199984427041455,0.7086712479706428,0.6630176898571783,0.5171509245841467,0.5682286788180682,0.677808913130188,0.629138034933846,0.6191190469790628,0.6965014767564741,0.9900983758896599,0.7127311396072888,0.623223850378357,0.5359605866741061,0.48349179115727975,0.5041026797580888,0.5647527403280955,0.4281076216090424,0.4377959085035752,0.4851024864853011,0.4856473684680431,0.4959504939608035,0.5208111670422284,0.6529268703655423,0.6573828049753946,0.5713708630540514,0.6798997082101214,0.7843212403378252,0.8199065446446104,0.7614308754585163,0.7568423194048185,1.1911598360715476,1.3767507687726912,0.8839801740325722,0.9492243978524161,0.725617977159056,0.828512643663516,1.1774174837733138,0.9171977120566779,0.9319176020618588,0.7445970700289765,0.5686107943560853,0.47488827533703626,0.4530600291070979,0.25507827233095987,0.47591086166156105,0.4535380053181524,0.4394531315432146,0.7296982464562611,0.45999276258923766,0.5029118923960904,0.42986471311756413,0.3821013127702651,0.9088514730718886,0.5839837344060114,1.228018759192926,2.7091630787820002,3.0359121373668607,3.4614654777408997],[1.0569422491833635,1.0513359570972944,0.7643131825867204,0.4494705386892642,0.3907745451042033,0.530795278332941,0.4946010110784233,0.48487767104934937,0.5152498344028209,0.40210525053288915,0.40533154654655684,0.4667519604504017,0.43527220229528585,0.38079514935586345,0.480765952737007,0.4284839934042439,0.4023958215330744,0.37953315843599744,0.42997754240485986,0.3936036861853571,0.4331712265408733,0.5028597766095252,0.7035226668618715,0.7490075495942402,0.8049252501563284,0.52425375766886,0.4053535140199361,0.37312406547111265,0.4095685252458452,0.3986556763866342,0.43975409526358544,0.44520493469865524,0.45390472670770715,0.45086381922532104,0.4432585358390547,0.4207543010100912,0.4066924915079008,0.4591489836142274,0.38985599683724453,0.45066702572162026,0.444701018773454,0.47903854367229043,0.4825813233370281,0.8740703394934435,1.3583654536132779,1.8055344912892535,2.1654034474672184,1.2145221398115267,2.6960191490759406,2.925414813635318,1.5424528412981984,2.0807611102326153,0.9775026989306048,0.6910951779848157,1.4072483705734444,0.8582757440558323,0.7693533828848477,1.5944406465368979,0.9762118728112492,1.0910536390145196,0.6960035032921273,0.5673056661390007,0.5170580337578832,0.5282219156720708,0.5488100820322761,0.49502515245517076,0.5380516017829737,0.4079867488701149,0.5258390169712203,0.5394739484440161,0.6816378030422424,0.8988924721554608,0.6233513811086188,0.6671952416760287,0.5055571379361734,0.8658366343003415,0.4550364686904735,0.4382767344764672,0.4389624481421037,0.5487497372378984,0.43852930059751133,0.6129585284037526,0.8611267531274186,0.5588219560274119,0.665774032545709,0.4287694856865317,0.4096613391703674,0.450629516758478,0.42093085508199046,0.4833068120341974,0.47298919546832585,0.6440641034673874,0.5522164263122453,0.4445376130268585,0.45645864281160986,0.5196074074670025,0.5990370277838066,0.5001008100174702,0.4728100540604145,0.6036904641077254,0.468582162053528,0.5958915699322569,0.4804950324087074,0.4841645743878805,0.5822307822210462,0.48954628722441657,0.5721290146148105,0.7779879655265053,0.5870075796636123,0.49660560150774624,0.4559231742087182,0.4218452906616189,0.42925425026185016,0.40486714483330727,0.37013148884169433,0.4558783521351391,0.43851594934178534,0.48594377081513046,0.46118977918195264,0.38878029206408515,0.3667161010346769,0.37974961972211485,0.37621608776973064,0.32433762065507893,0.3538881388447336,0.37226634520367896,0.5747297231984705,0.38944778526046947,0.36436604865479355,0.39312179507297096,0.4222389761998315,0.43928749878157103,0.44531819524532,0.4321643638967985,0.4065478715835067,0.4989822671345903,0.6141771046806509,0.47822507155861,0.49285106173202864,0.49242466165812343,0.6074570591052872,0.6273228049872822,0.4318546291309207,0.3809849799103629,0.3840699650070553,0.42628676975669383,0.4061559982475475,0.40202559177305974,0.4029128876667058,0.459314345390001,0.5357613879418102,0.48715580187149704,0.6406531922093844,1.1161679957276478,1.0773023879617303,0.5335534866291539,0.48496918500645236,0.4565088253040853,0.46534618435748243,0.4711331558746601,0.3779690994375137,0.3816095984579681,0.3643491107721733,0.37218113611661,0.5180810476157829,0.6229446446562171,0.7483660657924535,1.140132932592647,1.282251498745828,1.1486398842412795,0.7832478097541031,0.5372431665161008,0.4611774894577816,0.4287998165337477,0.38934595441855685,0.40071444516765264,0.4532759290058004,0.4862823023059054,0.4490636964382267,0.43869202842965543,0.825044502750338,0.4111289773603049,0.4649092310749077,0.5079534245026086,0.49913465646526284,0.5335371082363578,0.6099091237909957,0.7844171153323839,1.5055035579917657,1.0761703073043742,1.2019657613768246,1.130846633193938,1.0751406429878416,1.0101378063942736,0.7380578196464443,1.0231444376218555,0.666736655557796,0.6318167955523868,0.6994562793480237,0.6160373471058005,0.5220280845606681,0.4708858905930248,0.45466723343191545,0.5091179596938261,0.5397787251513653,0.7060307177078423,0.6694010095384108,0.668885398943978,0.7521407567993923,0.9092704954689345,0.9150802716985332,0.9341771398457939,1.1036587984484443,1.177593789542633,1.1601191700549924,1.1521658953974039,0.9636833784081887,0.7873603014111511,0.6914144183717968,0.7382575460685382,0.6712738148118059,1.1539285361193574,0.7967774570288579,1.0890724566699994,0.7205299082333477,0.662253609487667,0.6381348658568733,0.6945607934749555,0.646147330112074,0.6486800632516809,0.646950827028708,0.796442193007332,0.8376609053617525,0.7143759126277174,1.0947182623897607,1.1992179348651537,1.0670761154277402,1.224808572777629,0.7418607025602094,0.5773034547021897,0.6277664805392529,0.5776400820402805,0.7487708804760217,0.6791985146559454,0.8686120694581878,0.6755914341767162,0.6372348586268675,0.7359228704059457,0.7465572781476386,0.671669309723707,0.7702475348595146,0.8951110168535731,0.8631600511600285,0.8484304241940658,0.9748301116594622,1.2486582265416035,0.9596058177287327,0.8819509533518353,0.7698760166747028,0.6952603734657824,0.6619881761625684,0.6275501374741375,0.608846068058101,0.6164678264869886,0.5605695239953059,0.5860368807566866,0.5967974919466262,0.6060134871322378,0.7235540447113382,0.8006038944246222,0.7069954030821168,0.8316152880315902,0.8549089073800448,1.0141936705527888,0.9252877206525352,0.8882550978156932,1.273639549335432,1.4008724637931862,1.018885720857892,1.0625761348500937,0.83565146191876,0.9147992033300967,1.2067035890390259,0.8988357861720518,1.0412714165503574,0.9204354274970115,0.7278804920161268,0.5625144686889346,0.5538578380849728,0.5245409449778877,0.5067965665723047,0.5187691472387013,0.5499619332968804,0.8486873611804824,0.5905530019819403,0.6849389252832379,0.6563232964253098,0.547170787777746,0.7242095250318429,0.6229014739308938,0.8874628383234481,2.150559424038269,2.1400687165400636,2.668447140171608],[0.7811413952651359,0.8470016499738304,0.6367124306836582,0.40593314296743255,0.42019900652284176,0.35376159546891045,0.3144652097095987,0.3356395951666468,0.38379281909618235,0.29982966252546184,0.3042295973994549,0.36023690552443965,0.3068777471962329,0.32740696073360537,0.4764444633483381,0.37024615563005064,0.35486779278449937,0.3398574587107963,0.41687016101658936,0.38331146739483357,0.41711651860176097,0.5111010805770939,0.6327249896485797,0.6637611392932635,0.7382454594968298,0.478859342044509,0.3874369637999207,0.35967135853560533,0.3869434688782943,0.35274644807974953,0.4007706303119025,0.38038781532590993,0.3985195631988856,0.41711025184366146,0.4287202476095243,0.40545176653139353,0.37982589995929755,0.4719596334720912,0.4571544225373172,0.4944450537208174,0.47828098713359424,0.4710193556968766,0.45856072083383553,0.74209827749913,1.2934581652253834,1.7457688159311833,2.0566124581666063,1.079313744096206,2.48507669860949,2.5251458841033445,1.2436262042508976,2.0682159551305683,1.0412750716868335,0.7316158055094708,1.4809276316981077,0.8970648997409143,0.7309890853151298,1.7946495407810583,1.066226303270338,1.1127811840453745,0.7510523591266437,0.5613652042997315,0.4980028867625922,0.5347101967280046,0.5502616697137157,0.5080164977598253,0.5392784323262272,0.3981291865976281,0.5338654771672411,0.508003877770095,0.6645037807456845,0.8858322336884554,0.5834806404199372,0.660426193454243,0.4735112621745158,0.8732682595046533,0.45255866037507325,0.42836213045117927,0.4516291855058494,0.5554511809538546,0.45071681336872627,0.6406966645196126,0.8493350430235773,0.5418694552044067,0.7142873020555369,0.4483637778294889,0.4531640257829507,0.45171195472878445,0.4129307334692362,0.4649222970922309,0.4479244139194642,0.6367762951718591,0.5401494598095452,0.40170432240398846,0.4053103889346656,0.4723269968830154,0.5804639980510627,0.4250466266531076,0.36534105954418217,0.5017197879007507,0.3587558724907117,0.46871930704285264,0.38003527084306893,0.36862911166788936,0.6057586461310953,0.47352636779744955,0.4934774865447724,0.7645754285117862,0.5098309384231448,0.5165091956587239,0.34242173105945634,0.3275237201611937,0.3179254111140068,0.3040730666795503,0.2748754584786045,0.3142576565210759,0.3323035323743806,0.4368376519143832,0.3923561409450223,0.32554009520490623,0.32210108780801744,0.31089419511786537,0.28765754600978755,0.24402577032915088,0.21638816262619867,0.2218173755560609,0.26995485897952504,0.3539687723309908,0.37720644068473475,0.5025658575409853,0.44531974202177627,0.42881177473801685,0.4637587854822832,0.5088623027529603,0.4900724632426449,0.5794690465841245,0.6332120595954042,0.5292478531589099,0.5419124823516686,0.6612828057025255,0.5629830303513335,0.5773330876918008,0.4441224485457567,0.43455293166463693,0.44356799869822583,0.5194814813846611,0.46606044777803846,0.39307995451171057,0.2949351311878902,0.31483808560367277,0.36341928271563156,0.38224145645129387,0.539454639138966,1.066032803349851,1.0855824857390928,0.4158506366442423,0.3520456536032119,0.3168550749900405,0.3336592015106723,0.36107570976643005,0.41957281199593716,0.43635075798286865,0.4951892510085316,0.48894950281817967,0.6110908354794845,0.5941091316765508,0.787398554254257,1.063035708452242,1.1499839269149694,1.143284973060911,0.7794059899764246,0.6428026522788094,0.5865066435661801,0.4937881674760888,0.4165586039160224,0.43753371834448795,0.41933894449374015,0.4919602273190494,0.4642630971235966,0.4605159100880476,0.8363697993393864,0.4923546298218812,0.5423189949516832,0.5680677164683606,0.5692470992202177,0.5563817162044022,0.5967317792624292,0.7305811379416224,1.427537896301457,1.0132772544823772,1.2964196518026552,1.3706435108795525,1.1975466431548043,1.0894281503883523,0.7939381407658914,1.0097612340442188,0.6709431363791369,0.597658845821111,0.6965657199246241,0.633976538894228,0.5686182691118927,0.5160192767106109,0.4947092493655706,0.5435663619769431,0.5524026435821744,0.6556979466794127,0.6112364403709004,0.6011395754664908,0.664152222146377,0.7338805193497304,0.7312974109911,0.7486098719104655,0.9000094342739428,0.9091896823124151,0.9314530473210189,0.9912744661937014,0.8199870417805152,0.7252970985207577,0.6290374532543919,0.6492272889129548,0.6348937078167737,1.2305551020405137,0.7854833766853991,1.0472897947272213,0.7084141867457819,0.7181102775888257,0.7069588468204132,0.7464677600656663,0.659921847317649,0.6831019508497939,0.6710437478339669,0.7774696926492571,0.7960378205737386,0.6973944949833122,1.0996881801511948,1.0857127710099328,1.0005419916846505,1.1462679813871084,0.727828798221927,0.5502642219416827,0.6531317302406361,0.6663676673396919,0.8171748312178843,0.7899276344083186,0.9575883169503265,0.7358288931845511,0.7112810598923044,0.8173577006053129,0.7658957877226165,0.6740258309034467,0.75220191648657,0.8502644739717112,0.7663364492883609,0.7686364058877047,0.8765351768048585,1.122315088878655,0.8277704639341561,0.7693265991614635,0.6695497224386174,0.6423373034832054,0.6471160814321628,0.6374104670237521,0.5621465168109472,0.5631379502619767,0.5618268486472203,0.581063520126129,0.5968017451981352,0.6128733970946633,0.7158430555338713,0.78526464140374,0.7147930225085402,0.8040829472740749,0.8458739724995042,0.9679019684938354,0.9040121887887057,0.8689154664666802,1.2597598672952925,1.4015198752600084,0.9791619778502574,1.0299903760803288,0.7885696597918301,0.7586600554706251,1.1919192625511186,0.9068322987996029,1.0407473756850651,0.8827500429616418,0.7062728410567259,0.6099031592705149,0.576975488723826,0.5513502387920287,0.45180455988186835,0.39036550621274924,0.3960590744496181,0.7761676400241244,0.4161231863099638,0.5126176193349662,0.42087372640883725,0.3648445249267822,0.6322802122559104,0.4686461873014251,0.9334641874463424,2.0744026929649673,2.266364308236701,2.7388586085635453],[0.6888920440936326,0.7964072389486461,0.5533690470780436,0.34848980311227074,0.3545352807226311,0.30119944013892036,0.3000143782691281,0.321193485586436,0.3843139749406183,0.2765697728128121,0.27411303966585776,0.345569574289488,0.2573160269991065,0.2710282817638193,0.417000974994945,0.3079955502775373,0.2929501516804527,0.26078978163012406,0.3228689655369338,0.306710577827499,0.3500294305985918,0.42781145787777164,0.5741318227109026,0.6119788419601746,0.6731800534442115,0.4359529597747071,0.2989481546727607,0.25419937390254715,0.2775134462185961,0.25521760616308603,0.3370640921467213,0.29402272553147607,0.3500589495829203,0.3405542499294814,0.3198780286051945,0.29564677378723186,0.27284271861690673,0.35099798522475134,0.31365657565074995,0.35074813748135336,0.3733894531981288,0.39833833274708946,0.3902846361795903,0.6706097710851674,1.2283954400642951,1.6773704884746823,1.9599337731999673,0.9820334105689215,2.3474984904906937,2.3095545545331184,1.0492891215911342,2.005761267662742,0.9922521178679726,0.647614263720849,1.5200203417169325,0.8912309875134148,0.8532385226026408,1.7048617220205924,0.9534250727724313,0.9835858248475489,0.6646038067657966,0.48902769477013125,0.42411853486328777,0.45940448978464,0.4434419677710871,0.4102631646463921,0.5255044832558758,0.34749120140792544,0.5218119633441289,0.4788606277966872,0.6774911440807858,0.8965351548616187,0.5964334884007558,0.6346977174380939,0.44863644123839636,0.8855942585610631,0.3610278570248631,0.3291478516119227,0.3329899218303284,0.4517217059803205,0.3268153403784598,0.5445511264550353,0.8762485062983969,0.4092226235010324,0.6262972462679023,0.34263115613812056,0.32823038343103794,0.3658229061957036,0.30942981478712367,0.39265186822162534,0.3815423187251186,0.6149761690959061,0.4850610588586416,0.34905834641517597,0.352159195227208,0.47289714358520574,0.547139717139617,0.38711695468729285,0.3263729137726377,0.4921849612562644,0.30535258144863714,0.44424979217377625,0.32035022988388523,0.329782599453116,0.4568411241610284,0.41838212158683885,0.4748428186283088,0.7042906577989165,0.5382126549892969,0.5171426135588025,0.3235453646790367,0.2821665829829514,0.28968685459462423,0.2425652294759087,0.22086399793927433,0.28231650501731037,0.2818507444697256,0.3887709368998047,0.33828006875027755,0.2856562030714116,0.2692563821662013,0.2690103415700435,0.18077304255239712,0.1297682296114112,0.181622780012678,0.22164801606149376,0.24731573657353217,0.3304568500138657,0.30663439580702606,0.4120664269038715,0.37126955195131073,0.3691756085891779,0.3981091898005614,0.44436527199576664,0.4184608067195602,0.5054579069890474,0.6085108720708466,0.520854956538365,0.5707110611681899,0.5416536576641213,0.5259680441864227,0.5088605154080178,0.38798584800291197,0.3312915547530652,0.3202223103356493,0.3719115961827819,0.31792007201227807,0.30197937905427596,0.21861590504943143,0.30116341344801556,0.3602562551888431,0.40287011556784175,0.6457946818882309,1.2127116196025831,1.1526625900227878,0.39001943352660196,0.30570153462445954,0.286490839027132,0.2612915540350423,0.2961381851209701,0.3423738213890329,0.31804596852652434,0.3854564999465218,0.3470715752381009,0.5148981081630342,0.5343763117859208,0.6960710128036669,0.9978731464946806,1.1038130691460057,1.1104596901330501,0.7290309047321969,0.5660403181141844,0.47985441616864716,0.4067463828685516,0.3219779262810417,0.33177172928151766,0.34229834192245034,0.45392336124364735,0.369396457241062,0.3653313723472838,0.7928081109034586,0.3596413883396309,0.4195312478001184,0.4639356335549047,0.4848273156626772,0.49817202281164763,0.5138075357751334,0.6917388870043635,1.3626765469091227,0.9173364192451726,1.2958663766383371,1.2760706848393812,1.0968744934957817,1.0483680884691404,0.7213242046018531,0.877470460786746,0.6606078927492981,0.521161342404018,0.5816542534849359,0.5351103723819726,0.45336493141227785,0.459268766889721,0.4107727853209584,0.44631340794590785,0.49935982346140373,0.6454436264291294,0.5412400321261537,0.5330938359749288,0.6967384733492756,0.7263086952293922,0.6848694595733863,0.7534426805330766,0.9473357806448053,0.8873377588882603,0.8969019080225831,0.9026951700887642,0.8124570057261892,0.6552503937713833,0.5634295580036203,0.6123516803119817,0.5586692190723432,1.2628373213790391,0.6969618282243559,1.1016175687351748,0.6440202635995695,0.6309833791909404,0.6518247554856847,0.6595178087784775,0.5462461952410559,0.5422428679033883,0.560332670615193,0.6608670487604958,0.6970503358759883,0.5606284296235577,0.992235451530368,0.9604615452855124,0.9078540225369098,1.0457991406894604,0.6157576761136921,0.467683913746053,0.5279635583111195,0.6081742088757375,0.8017053405363521,0.8349772265009041,0.9881392104705825,0.7286007373727258,0.7287221108913838,0.8742322872145981,0.8370335139107764,0.7551803163771054,0.8970956684609511,1.01373281590512,0.88390666110745,0.8768893778639532,1.0364531748734922,1.2365175950271003,0.9242062489972788,0.8818690531815779,0.7211802745763713,0.6898833883964371,0.6673959367453715,0.6098925800674225,0.5534066356427595,0.5340426540164364,0.5006794297046528,0.4857626769615119,0.4988984670658073,0.503629374969369,0.5885272634227224,0.6884956505497447,0.6160171852015603,0.7052254251477011,0.7345284127379997,0.93272198443196,0.8597675577544216,0.8477008105172128,1.176062913161671,1.3587433200866437,0.9983090661139368,1.0283713531165966,0.7716392023010167,0.6824788478550516,1.1608766444109055,0.8865960014070003,1.0420034224038885,0.8798441967963417,0.6445016792329997,0.5470497912408366,0.5086990593871481,0.5638546970435481,0.408558604612912,0.3382247975336172,0.35684846373253437,0.7823664667611534,0.35914293709963807,0.450014005043562,0.39155876755474583,0.3312899918286147,0.553541497670774,0.49097044881266194,0.8579506585889423,1.802205293243322,1.95243216621271,2.5079598805938232],[0.7393803095553164,0.8846234834853287,0.5861038974018589,0.42684524692446635,0.38345386531047654,0.38836081303921166,0.35167041424944256,0.3254531098039538,0.3200966647635208,0.23048328709752827,0.2450524615181517,0.30783840873502716,0.25290385583573266,0.26836290181826283,0.4821779148273146,0.33165710853596864,0.3404581276338196,0.3399391147606567,0.4383379849383424,0.4074675909524317,0.4734918700059354,0.5166584349703092,0.6583237784816217,0.7270654305619502,0.7121636870990167,0.5581956703858086,0.3920232875764663,0.3214941075423415,0.3256878982607832,0.3171906296342509,0.38922910284033096,0.335812327774998,0.40234583276843155,0.4089762688029908,0.374585003335353,0.3686717824232486,0.3197153934501108,0.3914495624612492,0.34713210594710553,0.3931506317502536,0.39986666385944986,0.46130612723753917,0.4574980695432326,0.7331422717155636,1.1777123148353403,1.7219104907404061,1.8594264366979314,1.0067660396059837,2.2756754739037293,2.1419137014747083,0.9975952420009724,2.1340688506378935,1.0995997826182597,0.6833410523148166,1.4798107475409485,0.9815473852329218,0.8223174004716075,1.8734698252247217,0.983487424191169,1.0961308426590404,0.7859930506758593,0.5884543068621202,0.515689095000993,0.5778629498051583,0.5322384259498019,0.47144957032365303,0.6120936768719454,0.43882783784735424,0.6166374118532507,0.556869891141128,0.732811806833477,0.9590710108613435,0.6676274597120024,0.7550567250824112,0.5159741336640192,1.0238774515182365,0.4471201115774222,0.4040490239108813,0.40686065688988193,0.4865352270673013,0.3887128968722,0.6106534790004529,0.9184278453364535,0.4501892652635468,0.7093388867607527,0.39025496579766344,0.3770801144830218,0.3922312719121498,0.3826888876779136,0.4417590759526941,0.4505691335976757,0.702956916158731,0.572165302260831,0.41836627591409226,0.39374719841034933,0.5128674032071994,0.5546982205379558,0.3775657934598761,0.3205072302775363,0.5549855417639563,0.3514180963734555,0.47371478478960055,0.35890691081062714,0.3391256714471051,0.4543438882590988,0.41396714755253566,0.47182807242493563,0.6885672038400734,0.532936128692055,0.5276942579493566,0.3480809863861819,0.29373933214923326,0.3116512430246635,0.2601223022107121,0.2847216279933204,0.3629036997441878,0.3388195884970926,0.4200297481611713,0.4983139150532809,0.3758591808529116,0.383140304544728,0.33862692869271555,0.35030365997838825,0.24487152380266067,0.22651865233465587,0.24459750616014417,0.2655062533236754,0.32887504834697984,0.3107253139927594,0.3935184413961486,0.3737801183004096,0.3533046684366598,0.3745433449658551,0.41723810823637764,0.37854628156680836,0.443567911511035,0.5481470102949572,0.47231101519544905,0.5176624721794677,0.5694668830636392,0.42109565005658145,0.6298458821245796,0.4798187140962128,0.34785865450055714,0.3263167226853926,0.3837739343017767,0.3155458901407609,0.32836776403759105,0.2504524629122456,0.2981314734875616,0.36889258557750065,0.4257569850994465,0.6479143747792728,1.4064148175525355,1.2929926000950351,0.45047748681383065,0.3546814711947053,0.308935844085398,0.2989408464106953,0.2863620096927743,0.33865302555100285,0.32441031998468034,0.3621500489768311,0.3379957820560426,0.46506869791796196,0.5422668215194809,0.6461742248006804,0.9464573721906875,1.0196287520466654,1.024434136982048,0.6486077381672154,0.4976132738767873,0.4409910795133429,0.36539524885630914,0.324192773553064,0.3498611573933502,0.3753832551429057,0.4819242552308513,0.4041512977417423,0.37005914980410753,0.7660588839582106,0.3421182851968841,0.40569309034287243,0.44340924659766157,0.46992706897025877,0.5393272465031038,0.5588190215859693,0.7221671832823595,1.408794056070549,0.9622000618027653,1.321025675453356,1.3285444436010383,1.0947853362948714,1.0234683639130275,0.7231487823286501,0.9440142431539,0.6685644435096486,0.562525174843069,0.6266241562212975,0.5557944593935233,0.4621891429508536,0.4630368895328677,0.41644939859538027,0.4601454911677039,0.528880716957045,0.6943445654221743,0.5838120873413009,0.5820335283474092,0.7828885745769538,0.8199300023522405,0.7683422878310215,0.8660564461466668,1.087166953470973,1.0062199986999223,1.0160655499623985,0.9727024717161642,0.9338581213994642,0.6953764650655423,0.6146797006819162,0.6832609882962865,0.5996184067500197,1.2476725121110495,0.7346784118069812,1.1395408086546908,0.661400175529429,0.641489586083875,0.6650755619928284,0.6726744498964534,0.5567649345035796,0.5645913419063544,0.5744719805980532,0.6959123763370947,0.727933466268198,0.6084504856732745,1.0482738500017026,1.0658136479892797,0.985757225122835,1.1325636206149012,0.6621170306964949,0.4748465982969872,0.5428386767182881,0.6158865918751755,0.8019520079326742,0.8617707933648847,1.0064344881606495,0.7297565746509007,0.7637373964785413,0.9352184561743349,0.8725209647559656,0.8158603191734155,0.9971287082482201,1.1350760731259026,0.9949819075007933,0.9887682384357805,1.186402078524957,1.384018079082895,1.0638236214528936,1.0276722272342143,0.8331352430750459,0.772011760072281,0.7263182441297881,0.6448137560246546,0.6146489779176108,0.5879532973783468,0.5219806405115078,0.5157198288865821,0.5281630542136956,0.5285302599425478,0.6276379300486441,0.7272368194294282,0.6505403285311147,0.7662128165688616,0.8068040567178053,0.9914060059454238,0.9104395876684578,0.8865483721443193,1.254730264256489,1.3969017994947721,1.051245726501812,1.0529393078187923,0.788278573669735,0.7170515884381368,1.127441732513622,0.8723630753238476,1.0782629711635645,0.9244277862505663,0.6781175444701515,0.5628470936039969,0.521447385513055,0.5519789372051067,0.4231529880192806,0.3844146286290238,0.40425977065523017,0.8058978730680945,0.40999400905394795,0.4659515596123041,0.44106618201776265,0.37886611412692256,0.6283734598364039,0.6347196264752833,0.8772236844010801,1.4588014355584409,1.7735978594146473,2.598380548138747],[0.7592327244974694,0.7441670178772665,0.5619399376625105,0.37453153334756895,0.42168674840396336,0.3426447022376746,0.3463863114434926,0.29746810616567604,0.1880833751367349,0.17167561837142192,0.20845580341322423,0.27150787543715077,0.23476158849626189,0.2449407322729629,0.4391018371193119,0.2939824952132959,0.30344858850570783,0.2932907875374837,0.3809003801868473,0.3751932773645493,0.4071642061329838,0.4576499093826084,0.565001583306827,0.6387282711212251,0.6250384563733892,0.480130080411897,0.366935264200424,0.2897166307161571,0.29079940323878756,0.2895891518189491,0.3512369617872368,0.30995203553870126,0.38700503498053596,0.359534311031864,0.3203608410392581,0.3063740899733472,0.29108801755349906,0.3417326220566487,0.3167098594947544,0.3548529329558386,0.3808873852884344,0.44357052435962246,0.4462974872769502,0.7094457293533171,1.1347329063218061,1.6382765161533743,1.7320326567444648,0.9569689753579561,2.1466167982966113,1.920337954755687,0.8643099965034123,2.078803587545542,1.0664181214629587,0.612841743641121,1.5043398500708731,0.9870481533856805,1.0274073136232782,1.7798681205300793,0.9229046148923179,0.9494732676251734,0.697841869655238,0.531654618572936,0.46042446620051164,0.5051574789318665,0.4489571393265439,0.41914430974940753,0.5852730031573026,0.40298232339434564,0.5716003739389351,0.5002438916537604,0.7236270858813754,0.950106189507204,0.6285502197848417,0.6867355409604393,0.4583357815093751,0.9455655015788125,0.37454198467498906,0.3438682716992992,0.3457447788380618,0.4438221007337955,0.36648920262907403,0.5637994281763353,0.9265701302477753,0.4178643188566699,0.6823485460458089,0.37646993895374303,0.33933703356783945,0.35292849229465567,0.32599204335747994,0.41281972710390924,0.39813968906327085,0.6495169820155221,0.5148966269310462,0.37192905964050244,0.3570535863664009,0.48290800791587807,0.5498750588138135,0.37080837562434527,0.31459887216069476,0.5262818526048026,0.3391773114142054,0.44927127832791736,0.35307978567487863,0.36935516497718907,0.4810764830441811,0.4457167201630203,0.4824406376599608,0.6285108873297787,0.49810836602028097,0.5849752911445911,0.38104452632375063,0.3557064183477536,0.35566398891894097,0.3232797168841012,0.3814935576215198,0.3031833584065398,0.29719200899255377,0.38686598298983615,0.3704037094206297,0.34340704030149666,0.3236602474840048,0.26624074929347596,0.2683414839246553,0.26035465450202927,0.3018823941442853,0.319738522855909,0.4311572136467609,0.3666703304486808,0.3688035526859088,0.4693134933267358,0.3917883673892765,0.38282184084126214,0.41095290545621777,0.5072759410443997,0.463052306791189,0.5080468389789314,0.621413198983982,0.5764962837718033,0.6628567993209288,0.5241390941734756,0.4109120927385648,0.5383441731672706,0.4716328614148702,0.349407878234214,0.3174194781888351,0.35490397637897814,0.31388313481544705,0.37542873383749037,0.3227511546552459,0.340281155970386,0.3667630546515397,0.5000696112860665,0.703081705183616,1.3612016494217791,1.2609282054945523,0.4585673712771403,0.3581071047083025,0.3328845723663722,0.2963960218356319,0.328733002844219,0.4044127578501855,0.3354313091919902,0.3799645757799582,0.35018156400760164,0.520497500294795,0.5826333365746738,0.6232204763738067,0.8308882235050771,0.9201007951206647,0.9911359280904637,0.6513909013156598,0.5325695125038882,0.4821638650538668,0.3989354686420082,0.35211397588232346,0.37050681109931355,0.3714170713484132,0.4903420394700992,0.38590131661871024,0.4010060293520152,0.7055553142166453,0.39615492632356103,0.4389739014657764,0.45657025231682014,0.4898771876336499,0.5326151556842643,0.5229890627406358,0.7285562217538691,1.341130508577459,0.8949398685684888,1.3122278366346602,1.373499005413119,1.0707197587463693,1.0279122507260594,0.7315952560555372,0.8332734042201532,0.7187981385152689,0.4929894096296233,0.5666877330831682,0.5367971721831554,0.47348534098391054,0.5239473298353508,0.4530659374228796,0.46290885995212994,0.5472669886792035,0.6693951246354682,0.5374811595549436,0.5321185773344598,0.741985290239139,0.710100933376438,0.6588375508852116,0.7561000058483544,0.9494900591360311,0.8771289308628831,0.8698816300049381,0.8657159613941872,0.8300826745202258,0.6334628389712744,0.5576621023108174,0.628550163315906,0.5637307897538787,1.33489457095208,0.7005622863738049,1.1827802935014025,0.7159965178829152,0.7471564706384131,0.7697584830033761,0.73285894478606,0.582910631915958,0.5777704740169473,0.5730734110906588,0.6275349961066172,0.676566054924206,0.5200730555612436,0.9773453307854623,0.854195957505759,0.8255325191423172,0.9951479088546785,0.5742095340820851,0.4874464829200701,0.5676348002085281,0.6909538961425932,0.8944738083879681,1.019854513516156,1.150090286210604,0.8278325248393364,0.8641495315456176,1.0612329324101937,0.9623283616059765,0.8637098549033013,1.0401546045087606,1.144282348270753,0.9666323015603828,0.9791878878426153,1.1460510606368424,1.2816466747384823,0.9915790889207281,0.9815456439088285,0.7993523746588206,0.7803974705743632,0.7575023577488601,0.6916641030862892,0.63193419749076,0.5799776746908994,0.549162920763467,0.5069525189361894,0.5143034188872755,0.4901506054503319,0.5536167692093098,0.6435214516646277,0.58846584259637,0.6449358940203729,0.6812106190938085,0.8780537072429486,0.8160749517628676,0.7955850074831078,1.1075545370495201,1.3072600071899472,0.9512493969250386,0.9822727833124207,0.741916700279358,0.6455028737865327,1.1258789260641147,0.8561519567786887,0.9891305888679758,0.8484602024607486,0.6201456672590464,0.5435054818773606,0.5045569447130785,0.5661584643697061,0.3967209926097312,0.3885464314079437,0.37563651751061183,0.7858651293389577,0.35474656751759753,0.39149721181116504,0.3886148194629314,0.31895779174065425,0.6370837006386194,0.6985389561910273,0.955750798067869,1.4649539473348532,1.953903885851879,2.7543582087590255],[0.8811955091374162,0.6841181219599408,0.4990508713494818,0.3690359661522356,0.3432438179670559,0.2836326768304585,0.27166884405668273,0.22255526759294506,0.1526491073443759,0.12299754274068972,0.18342115061901587,0.28127550267345336,0.19857049035581603,0.1860528039930769,0.32942502883166563,0.2653706313966077,0.2988093068804953,0.32882135305130955,0.407871503350865,0.406317041271033,0.41726748870064645,0.4629321289789447,0.5490476794540228,0.6401034029648547,0.6125860759804944,0.4808685484936327,0.37705122213791714,0.32302853458187075,0.31474012000480306,0.28487362545065364,0.34340350119993696,0.2946904222356138,0.3773322582032554,0.33370770891599033,0.29368249456811707,0.2919318396843757,0.26575038069961326,0.3248960240954999,0.2916623501824316,0.3314575191083162,0.36590376414830783,0.4408540592617562,0.4432186789347778,0.6963712116392793,1.0983929466674551,1.589500989323958,1.6906902956485594,0.9262191065848537,2.1164245437561315,1.888731775381766,0.7997679019726197,2.0073165451000885,0.9911417679775876,0.5297084353973208,1.5624660238525803,0.9675501794341812,1.2712676112029575,1.6140355014263283,0.8525864095100699,0.8179569982924235,0.6425858330517455,0.5313015578945952,0.46333601776976596,0.5138757814077671,0.4351451630984527,0.41415019087317717,0.626148860098693,0.4455102218873452,0.598871339804469,0.5179727163432692,0.7782445842590724,1.0379550868875964,0.6992623593953676,0.6896898442445543,0.4796916705826395,0.9567200813623751,0.3767133644640438,0.35472150120152,0.3373337766673902,0.42632376216698403,0.3599160714004466,0.5310401535342585,0.9364570483306374,0.41568856001426346,0.6055110204440309,0.3662331173537736,0.3294130557538738,0.34344676962491144,0.3153526899986217,0.41657868232514195,0.3732827383996586,0.6226285184361191,0.47021952896366626,0.3476378529218293,0.33558913403739193,0.44658063895620176,0.49207522235352036,0.35469338139861856,0.3099560440160172,0.5901778135253405,0.34366076574035226,0.454361542635037,0.31191554053230575,0.3611113568372925,0.5110353909139166,0.43129258915257074,0.5224364606400147,0.5280637107823406,0.4705556991915912,0.5582697099759449,0.3308903150980232,0.27691367255459814,0.2526897129512236,0.3016449122267098,0.3670499191220584,0.30687658370570775,0.32486401968288686,0.39578546650548785,0.3749102038827849,0.39476469068274805,0.3411621184567062,0.2942245846282361,0.27520407775705286,0.31329990100778415,0.24613581535631154,0.286648956116206,0.4427515001677336,0.29530162142711464,0.2934160508754891,0.4120682102194213,0.31654431881120426,0.32619008903244207,0.3400106076235061,0.4903783196219927,0.4035448674468518,0.44814264556200656,0.6119339518949424,0.5705795209258373,0.6720715845550198,0.4583291924911263,0.44520753871656926,0.5248676214771903,0.48842366658703595,0.35571989333548854,0.3144774919677075,0.3187847021040897,0.3103709894339614,0.33173903262977894,0.2613518019005846,0.28462579160548956,0.32380724532921046,0.47135500417775966,0.8124067394860254,1.5250857022302957,1.318383367283799,0.4650358878659391,0.31088410578197095,0.3157373035850231,0.2785334198996663,0.3005338274275001,0.3460284578025266,0.28756351929651824,0.34398480474962784,0.30914810783053176,0.5482339879443946,0.5402348713762706,0.561487320410377,0.7557111837441753,0.8903851749091377,0.9637973339043796,0.632550283145456,0.5023600266446798,0.42586265364675124,0.35751204821412563,0.30632098945754627,0.3224157813715364,0.3391379616539508,0.5013628844177199,0.3405919126998144,0.4050812944460973,0.6474300989508229,0.35106152721822115,0.38188724573572413,0.39422302393386177,0.43036007294123335,0.4734091280803148,0.47528042541901444,0.6892890157152329,1.292124358065043,0.8271313614121298,1.3031896497962674,1.2394631605214592,0.9573409256410137,0.9698228786090569,0.6518392134094586,0.6791529763407866,0.7106963230939712,0.40960667496846026,0.47021286452859706,0.4415346055073975,0.4020632029315017,0.5225952082947194,0.3880240216038916,0.3868681645116348,0.5338870271100203,0.6469316790814249,0.4528233817285684,0.47472976082873625,0.7547984005761236,0.6448706678206491,0.5906339034710925,0.7207704631353272,0.9075090105620086,0.8141446248954985,0.7733062251727247,0.7511054410828217,0.7985848280015025,0.6065560612082604,0.5286548593538795,0.606717881175022,0.5433174995670167,1.4295628697339402,0.6908263714278992,1.2637666034515855,0.7279209303192019,0.7751081635561298,0.804795564552577,0.7362888461794146,0.5867361211268484,0.5087983468556744,0.5648470836863029,0.5764334251464435,0.6317726029237846,0.4319780526640982,0.9077267071561337,0.7278480639311409,0.7446596512925007,0.9091424922527936,0.47607202224410794,0.43122915443602267,0.5256307687676786,0.7179135086905145,0.9582137208266187,1.1081871163688342,1.222274808438306,0.8820426047255718,0.9402646210180218,1.1500208952453004,1.0332387111765415,0.9449819850123031,1.1682673995603623,1.267912576190584,1.0349840604162854,1.0661550490590548,1.2556817300414276,1.3328803279827606,1.0285682365000948,1.055559183809798,0.8523365225346409,0.8499484628637798,0.8200125265617021,0.7491748387892109,0.6714699201507061,0.5860995286904637,0.5548574040439107,0.4864868182866259,0.490066527787085,0.4297997378330459,0.4802338370573313,0.6076794042520495,0.5517201168247329,0.5818699370088947,0.6112081631494187,0.8369786376815501,0.7808480425143418,0.791580282916334,1.0417098840696333,1.2965961956625216,1.0088467903883929,1.0114736696694067,0.7412158509007378,0.6017669721431621,1.1494249275057573,0.8884775695220094,1.0021746743963444,0.8590554576607056,0.5563110284023866,0.4935856273412331,0.45464082644961873,0.5900476835977061,0.35836934416507626,0.3410954451802303,0.33842260564745863,0.7412945440632515,0.3024861487527172,0.3637838822043472,0.37334660914875106,0.2807351162354136,0.6266631799730178,0.8375994682476879,1.0290998140094705,1.2170905932241813,1.8614828666708179,2.826378064599207],[0.9532548960578112,0.6892954435866782,0.49290880197695136,0.37688181601926823,0.3440717107366708,0.28686702626390975,0.2684290690511997,0.23122764443909635,0.20387349722407763,0.18268051498160462,0.16854779237544823,0.3143618906571631,0.21196571067458228,0.22098906232834772,0.3505440570367233,0.2938469570723063,0.3630826221080811,0.4258927480971973,0.5050288491976842,0.4810860732870061,0.5086736254357536,0.5274891773778305,0.6091365874894324,0.7370375763191513,0.6263233748141597,0.5436617154085995,0.4551686875591437,0.3986652286508502,0.39671582057285953,0.35746231759779634,0.396284239217518,0.3324902599680331,0.45068069718016335,0.37046117316060834,0.3313790477749503,0.34333438560746304,0.33025128840563545,0.3903821224489196,0.36752857009732665,0.3920773600995778,0.4134296101264743,0.4923416945673856,0.5030806794652499,0.7137062715883787,1.0176770032012092,1.536031475171543,1.546177136755209,0.8975848640972949,1.9743601435484746,1.6635767488862823,0.7544699330709999,2.025791340915097,1.0463413260983432,0.5270816618118669,1.5590088597669385,1.0564227205541434,1.407907656738534,1.6445015670911747,0.8748881281450837,0.8236614978807314,0.6926258688025928,0.5753256591766185,0.5172783803276204,0.5759499896143925,0.48279081955755476,0.4690650210387133,0.7142117714919332,0.5234264652042271,0.6806566708665699,0.5689137854563365,0.8403693370631827,1.1213903066998545,0.7585407622767641,0.7607158710861237,0.5308751365550823,1.0180560747686158,0.4293224164272338,0.3990652609794779,0.3810456254551313,0.4469873111479652,0.42081325116775625,0.5686901311022853,0.9540618860961844,0.46733768603466863,0.6491884671552806,0.41837722903537744,0.38962496347679654,0.4020943990255194,0.36122924914044974,0.4498279394193417,0.41168695501800073,0.6597519735331326,0.5001703980548688,0.3869539904435789,0.3671721668338185,0.47133384972135794,0.5048648548712222,0.3892763596426239,0.3437187332452208,0.635500947096798,0.37851236014868933,0.4581764896537259,0.3506578476887024,0.38355662667106144,0.5679830681002037,0.4086784631087769,0.5297245223511208,0.5035271461081192,0.46266306512722283,0.5806446387221379,0.3454760332735418,0.3076108259953433,0.28648987010868604,0.33969669468447555,0.4444521289352517,0.3245315028179698,0.36637703332881866,0.43191686005788044,0.46983533530869526,0.48081636223232027,0.4144103523046704,0.36503764353630475,0.3193829285736226,0.3158968651443053,0.2570986536186757,0.30730508670046985,0.5040063940764381,0.3265897083229747,0.33029844667045927,0.43586326376758844,0.3463607553441081,0.3513249388339061,0.37215361081165843,0.5276241866030655,0.440983518680445,0.46533284702490374,0.6159513100313186,0.600494864956172,0.7231565147648835,0.4935306304182147,0.4403595097371168,0.5708278510488852,0.5522112906657985,0.41286803097443414,0.38167440059070873,0.3663585232922606,0.3658795804956618,0.3882175920584983,0.32046634541074076,0.29385982825137963,0.32157517625945753,0.48028872403873607,0.8524529527625951,1.6366563968781638,1.3725544159534726,0.5076750952428066,0.34621117975547894,0.35043146162958205,0.32057594743782536,0.3280086240592666,0.3892549887085039,0.33104987470323016,0.39113883037337993,0.37428180082065127,0.5984332226699681,0.5916996575028256,0.5647708504009483,0.7182177600149152,0.8280628009872981,0.9332974924251353,0.6186000430229328,0.5142263556872629,0.4519631486613381,0.38106738061728335,0.3545070134271791,0.3593742354469692,0.37286731126544215,0.5634286610306604,0.39533574456064996,0.4509671200993612,0.6029337669390011,0.37730492212260275,0.40123361656370543,0.41063988832575105,0.44858559442242957,0.5013936661385505,0.5009827966576198,0.7274006472309561,1.2573859492296224,0.8079000704712778,1.3112616918108388,1.3071872496823413,0.9524054882418982,0.9741537808900083,0.6782942220007205,0.677249833441801,0.7380563784065355,0.417081695494271,0.4662931323558609,0.44058769915907053,0.3991582690580319,0.5241061902131945,0.38140307202072776,0.376327388093101,0.5164817603417813,0.6036426772796668,0.433404616057412,0.44655552345375865,0.7162512657211136,0.5914854415166657,0.5563946958448239,0.6767310193604527,0.8456458968658553,0.8026218671479189,0.7354809620088801,0.7185912258471958,0.7928375808316297,0.6132077517574646,0.5231711134202396,0.5824065318820985,0.5242941357534208,1.47781114022968,0.680839434437595,1.2813395483159153,0.7301622838769467,0.8042469418286737,0.8353309579643151,0.7782651903984661,0.606228106803698,0.5190738876614494,0.5808390030450178,0.5894464523824168,0.6365197689249581,0.43045747322006517,0.921656379966772,0.6834978551223081,0.7124763096134041,0.8941650499319039,0.46460007833966854,0.45101184005602324,0.5504119637489965,0.7408795389860002,0.9903234026001609,1.1727508504120894,1.2681701335097273,0.8981847367631558,0.957449101348952,1.187060813680345,1.034509366318231,0.9281300503997298,1.1649370499422096,1.2506773107567204,0.9938190774857452,1.0420903834943553,1.2359550193517805,1.2774938631240633,0.9932534347207128,1.0364102937977833,0.8288076541666202,0.8347144101530233,0.8072615713089978,0.7443632907487256,0.6644340467507984,0.5688466625457997,0.5507882083983537,0.4738600442422316,0.47360507570867877,0.413987109851736,0.46126474837651554,0.5909187121804217,0.5407048404963121,0.5571864027395163,0.5910859556534919,0.8226917220742956,0.7696802644495429,0.7843386004645505,1.0261828432920546,1.2896951322794479,1.0229878875304266,1.0200525033598409,0.7507062327547585,0.6124217893067244,1.15410134881785,0.8916636936229275,0.9990676601456808,0.8487172356990431,0.540242615198418,0.48639870901757054,0.457136916257962,0.5790655824493226,0.36773287295564294,0.3540655123346253,0.35915288749353563,0.7363103789486675,0.30382573716745914,0.39340044421465126,0.4206647403830828,0.30121214518712813,0.6363748446620632,1.0091446886697797,1.252397671564964,1.1249010266265056,2.0129004766201812,3.130076810732013],[0.9087158631365219,0.7526746923463913,0.5477807795206401,0.41562283376297254,0.4207629640068618,0.360473965914707,0.3539033821055082,0.3258652622649314,0.2847934342974583,0.26845520134687406,0.2979288082399079,0.4138604075869736,0.315951822758519,0.30339926905793246,0.4463847674612436,0.4033054934220819,0.4316556531655373,0.48108566280347614,0.5659817431722877,0.5365732171531604,0.5974970927870701,0.5882110895048532,0.7064303158928918,0.817977085461371,0.6584468594665965,0.6141844242213856,0.5040490233325682,0.4367847567702164,0.43807780683351855,0.43490715530434887,0.4929309208590362,0.4588281288509277,0.6008631496112736,0.5139721492749404,0.4648521544431939,0.45187095527878623,0.42427373128529755,0.4598436392102346,0.45501009746355126,0.4747782983643946,0.48527391801203923,0.5664570119187666,0.583114793052919,0.7384021611456362,1.0076251925499635,1.5451052175746707,1.5297412269875146,0.9011363037021805,1.909535170211545,1.5691428720731688,0.7755183825736667,2.1050466463191326,1.1686698226303276,0.6101447558598391,1.5403851068390133,1.1266731806837904,1.2272925221712647,1.8394548942055762,0.9470087410603357,0.9318834949928402,0.795615155601168,0.6364224692053052,0.6116805812693707,0.6843520433592182,0.5887500592654493,0.5593210910223336,0.7957620608745787,0.5946823040584911,0.7665793627632101,0.6353075203719616,0.8628369567993291,1.1554659585573348,0.797855033167781,0.8705314685797416,0.5959968106503899,1.1698317644429383,0.5202522164916564,0.4995039851004084,0.4752833131660386,0.5261005827000383,0.4986988232877637,0.6317652555369104,0.9794819720475262,0.4926880471996024,0.7363719029473905,0.47389937646338415,0.4712587582320795,0.48317279668152735,0.455830322967504,0.5432994236900087,0.5314981263554336,0.7763422875027719,0.637561411127099,0.5298064272734293,0.4929415548147063,0.6147704836058177,0.6183160189632976,0.5244777468720065,0.4631806288819851,0.7118930083714832,0.47466502841925917,0.4950625371984396,0.4473407089381021,0.44495279462291615,0.5459628974827909,0.4558079317781152,0.5479003251322727,0.5495225093817405,0.4805041231215067,0.6112984911675692,0.4207198671422264,0.3778061710848287,0.3745049801388274,0.392249040553027,0.50927075931842,0.3734102934665433,0.41335771316492526,0.49072144834197357,0.6342616946102337,0.5458879472238072,0.5084453038948623,0.4499934489351405,0.4049275878403745,0.3779474274164187,0.33099268127819353,0.3604485625373753,0.5434424389236934,0.3748643137298107,0.3878148144439209,0.47842395451406716,0.38692600546003364,0.3891637797205107,0.4322542276008566,0.5412803491650234,0.4856412856715563,0.5168600709842343,0.6478519579732277,0.600218850249854,0.6815024418132587,0.5760875173937843,0.44638753937429976,0.6834254776127707,0.6133819172321667,0.46724950751828503,0.4395077176805613,0.4438669985376937,0.3909336201782058,0.43855798414056707,0.3861075784519905,0.3626067138576194,0.3864654205469861,0.5379339962959863,0.8845791311458306,1.7161531527442773,1.4272912727149747,0.5867814312934625,0.4321481154451961,0.4290129290828372,0.3985788020585463,0.38895925837251516,0.45836100432889376,0.40409769987431465,0.4533479759855607,0.4338365376537653,0.6243473673041258,0.6394326479068065,0.635683596111413,0.8053123108768742,0.9244824996599235,1.0111690859224431,0.6822779818996402,0.5611174875943985,0.5114631800914118,0.41462969750804873,0.40234998560573754,0.4168517711651603,0.44747123817388895,0.6012981414589882,0.4494486901113312,0.49059207397430754,0.5974735461174002,0.43305193252927976,0.44273707096209747,0.45456469456008425,0.4964459775435155,0.5541895647848377,0.5677485710429292,0.7919084650826155,1.2969135191671803,0.8744160455381551,1.3483369028849557,1.4205026186940757,1.045957748066085,1.027733907345787,0.7191432145580652,0.8131561644937958,0.7382557204323303,0.47784197156794517,0.538467039176249,0.5018296824168766,0.46196955998369754,0.5743662550589187,0.45651157643795715,0.45636571122915576,0.5907186029108247,0.7067012005044986,0.5285849966362381,0.5556223889502161,0.8179945880339887,0.7232604435563104,0.6764238917233164,0.8111970055295205,0.9955068892980651,0.8935789271174951,0.8869505113983378,0.8678334754587798,0.9017660668609238,0.6795712711048689,0.5966640433057193,0.6917875418543493,0.6084264259663281,1.4392937426563612,0.7593760548002726,1.2778032661892609,0.7626642488250099,0.8119241770669444,0.8385522753924485,0.7531788948323015,0.6269448971381248,0.5716351495573933,0.5799752642811149,0.6120316389444622,0.6751833409091241,0.49046861691540194,0.9475239148884104,0.8177799864589108,0.8102445123101776,0.978038385590442,0.5340265778569351,0.4779590920675287,0.5485742286246355,0.7308607269989761,0.9587977926151814,1.152036413459983,1.2455357994377048,0.8927861278612544,0.9754701623757823,1.193884093853916,1.0525396225169283,0.9896504894390665,1.2223518156812818,1.3208671237644922,1.090428685096752,1.1269480940751808,1.3315045856054484,1.394901288529952,1.0983309606731104,1.1338091933942165,0.9199300547993992,0.9106989623378404,0.8717818200147324,0.7970124527346923,0.7405493819997432,0.6566706901056767,0.6080395303237222,0.5491566290616686,0.5485703765149228,0.49041217502761586,0.5452147458179966,0.6445535806919349,0.5976130350793407,0.6344943282014021,0.6630411603585259,0.898962092606493,0.8251897262083556,0.8239341440842342,1.1285053265175788,1.343735294781126,1.0268198320417083,1.0093307308067347,0.7637833729952593,0.6194199815512385,1.097457673571093,0.8632683217215629,1.0175051168056457,0.9054311453273902,0.6436119019951162,0.5511204338171211,0.5087688426871606,0.640925744738016,0.3930882606280492,0.401533361129549,0.39738635702422714,0.730633936671731,0.35345075817922317,0.42963615393458404,0.4553019462629013,0.3562481889380539,0.6591947828923616,0.9277470493177445,1.214810892956408,1.126560899379866,2.0446381204309847,3.2097573750537416],[1.0118456783750471,0.7316756669635556,0.48682049865569504,0.42835493579158673,0.35408999527917756,0.3144782309333635,0.2714770584834034,0.24023523604840924,0.21449132746348212,0.1734672169063706,0.19543667051926544,0.3249762529073135,0.2072304337775811,0.20796921344601,0.3475499608341743,0.2984119009635493,0.3347029653257224,0.4024427848431098,0.48960210120137027,0.4598777834727208,0.5067445006215137,0.5138377179999117,0.628633001026318,0.7392310489903012,0.6226721552722041,0.5415148461981506,0.41160280894945567,0.3482653708374362,0.34841587484101166,0.3261324430654794,0.41608784749162037,0.3573155106681326,0.4908686362362982,0.3921259703864794,0.3500418726939182,0.34761300042881504,0.31345609391576,0.3580467882543968,0.32201563846948217,0.353714368940795,0.38331470908034865,0.4809435992038952,0.48529217833125765,0.7037574346374245,1.0697435568972458,1.581025931742031,1.6540863516515907,0.9034357149116041,2.0417922739318892,1.774824495824764,0.7671240942875099,2.0295534160855273,1.041784483182537,0.5293481452333669,1.548347269807211,1.044122321291676,1.3251883814656065,1.640588236854571,0.8561410065603638,0.821530770819269,0.6779530212151847,0.5718132659400648,0.5278826388222333,0.5978168982890033,0.49602617897634155,0.4714906436314191,0.7329817083528991,0.524631212254412,0.6974117825328314,0.5801512497550965,0.8390751785422687,1.1519345454838117,0.7753431043444765,0.8223510629397692,0.5404568527450375,1.0863450924378133,0.4411110639079293,0.41224016236460986,0.3842939611014813,0.44179591548146807,0.40696343937047197,0.5603116064628171,0.9700548805624294,0.4255030408540834,0.6252207322688477,0.38764306096849654,0.3666487955281906,0.3938826532030591,0.3545770386978334,0.4679983112373144,0.43368822954507186,0.695380076759468,0.5347650464895357,0.4371064873896352,0.4043149323447812,0.5226197508415705,0.5404370493010839,0.4154849714881736,0.36736598122815073,0.6785705741388228,0.39947488763745925,0.4603371098085641,0.33560040291445625,0.3838813205450733,0.5543939293515775,0.4323651654675196,0.5779662961234174,0.5091701682511353,0.48747582525386407,0.5696099419549696,0.3318295231039348,0.2607725542719239,0.23810575595042902,0.3001419816750821,0.36979802205728346,0.31407740388690975,0.33952428809035295,0.3946063679468708,0.48643288568496734,0.4652172751248075,0.4009607127625159,0.3422006259666565,0.31004340973060823,0.3121028138597137,0.2632508326522758,0.2920269190257973,0.41815958433237826,0.2869007456014609,0.2834030005863066,0.4001384417524511,0.315184327751635,0.33248336554787616,0.3369254931867003,0.49297175072737404,0.40351907339758053,0.45056115147795867,0.6296631671369018,0.5554451074595009,0.6283325596677585,0.4716914682198045,0.4301869219806441,0.5685746528567298,0.5142288584209862,0.36465323163589003,0.3246736623492125,0.3181450663289264,0.30758374004830075,0.32363496780291545,0.27332056185524595,0.2952483898946994,0.3228791265481968,0.4612530690983278,0.9446401647430026,1.7586392255923675,1.363446631802747,0.5062181130178032,0.33139735425491196,0.33968881189356886,0.29824827855152186,0.31915871827023856,0.33931854735823735,0.2818984538337535,0.33169681325978106,0.3102926560591068,0.5453756943963964,0.5529185967147,0.5929026645956289,0.8262620435404434,0.9653520854201925,1.0231341818528863,0.6633053240958178,0.5068716658844747,0.42768222511951354,0.34332647294405916,0.30187193341601243,0.32511884605948665,0.3437945570819236,0.5529095441261118,0.34785572322158104,0.42008065314535575,0.6074565540303205,0.3434945090802001,0.3735892627451848,0.38145288860208254,0.41337144593102304,0.4630647231213109,0.46969546676273544,0.6816898496857592,1.2946324202260096,0.8275710259826191,1.314438163112778,1.257804113416398,0.9846410569553586,0.972021021656422,0.626195254338502,0.6815173546249708,0.6915891235896788,0.4018459402320563,0.4650094328856299,0.43208741769714754,0.4115548133370612,0.5671398729626906,0.3987302912340994,0.39298484518651333,0.5989930767916771,0.7171254191632468,0.4782125690326531,0.5231396941315773,0.8633858269159602,0.7129440304848793,0.6467970906841468,0.8210019142335235,1.0177146621288702,0.8445831883076618,0.8422542352671847,0.7882322700412937,0.8924352431301841,0.6683213848694722,0.5877924296781365,0.7008910095215414,0.6250180555633422,1.4154591560958871,0.7651595718421053,1.396368467759291,0.803707781813754,0.8479351243115826,0.8765360622646631,0.7696935066803272,0.6287179100212985,0.518133277073587,0.5844650840243343,0.5696941801145785,0.6584125484742217,0.43126824865945923,0.8621076385962463,0.7812629719548816,0.7944164492861218,0.931901744761654,0.4809400065197187,0.43414139354727,0.5311127924610609,0.7586355023110731,1.02949963292806,1.2141143830943353,1.3198978194859676,0.9634491262978577,1.0674383211093255,1.2964623583620447,1.1483630834336764,1.0781667886541761,1.3552463303057751,1.4663234172491437,1.1976695512137738,1.2424001299392509,1.4746864007651963,1.5172931122980846,1.1907736153137505,1.2472676330133037,1.0048854154253397,1.005760476717784,0.9468889761861584,0.8522957239594986,0.8014811159768555,0.6773760091383102,0.622705412324201,0.5487277545233599,0.5426442609919861,0.43973934289350897,0.4854973628946621,0.654031737616011,0.5781199140820886,0.610073156540594,0.6280092249630047,0.8968379210799844,0.8242434515037448,0.8383016399160628,1.0870497281086602,1.3140835770973192,1.1083111098782008,1.0554983942212444,0.7661920975856642,0.595958716446968,1.1209726224919299,0.883608670402977,1.0555484488187252,0.9202885939408341,0.571243549677548,0.5039503899698546,0.45839155093154127,0.6246248741609017,0.3789933455908863,0.3482373561058814,0.37016093552358653,0.6883419270348116,0.3274906279808372,0.41206197432067804,0.41982905112016716,0.31224294895239285,0.6731919256480206,0.9745588815566697,1.2699030117050851,1.153969167277269,2.0911651367665227,3.2368725987651965],[1.0418345205714319,0.6292040555488843,0.52951911290141,0.3911899223146743,0.338725281158682,0.3265053203076917,0.26968098206244423,0.241773570580997,0.22763125209786192,0.16089092246953704,0.20399121274261728,0.31331299441082366,0.20299683105530786,0.22702815410382365,0.4323436784988445,0.33613427222187336,0.3527178325228902,0.43490560481391954,0.488688084940829,0.4666141176406468,0.4875606225285237,0.4952359225997579,0.583692123513008,0.7024341532740334,0.5958372912002531,0.5075709280749815,0.41440320773646944,0.37819193802039014,0.39350832348282866,0.36756018607618857,0.4271979200050332,0.3712490167829357,0.45078970083892783,0.39186585154744874,0.36184298674988324,0.3559951252087146,0.35390053726846044,0.3827091944750173,0.3404884054514899,0.3739475137032501,0.39292551317711044,0.4842870742647917,0.4934822186149795,0.7016337689871878,1.02410110189084,1.519060882003283,1.571081609775326,0.9008860288016367,2.0014869971060087,1.7258703242246156,0.7580146655796559,1.9509448037544328,0.9759439118802831,0.5117992980401443,1.6040671705121614,1.006744420783483,1.538690017039887,1.5191570935998442,0.8650451022401455,0.7623142223669134,0.6515984687550139,0.5901532200864619,0.5345885889897343,0.5711309588636755,0.4706114578745109,0.46319522630089077,0.7183598651436612,0.542175645980202,0.6760529762632075,0.5956644347304997,0.8755554907861676,1.1846682050705017,0.7971304582018429,0.7735378024098253,0.5642428853744903,1.025674245637951,0.44797465177073653,0.4149549456076207,0.3985801859395042,0.4688748368340302,0.4562967792405675,0.5734682947770458,0.9862041122651913,0.4963518574017651,0.5989938811583178,0.4319740844078057,0.3809540138481326,0.41800623715358826,0.37212133706456274,0.49575224336841806,0.4294589526275092,0.649973926116929,0.492043368039518,0.4140499737622427,0.4029751197655706,0.49773001098460284,0.5577799227573873,0.40657114819442014,0.3713011875741139,0.6927576928150576,0.41968332850790474,0.4866467450986487,0.35937120413959545,0.4247575922544857,0.6596489422345879,0.464173263635683,0.6307241687630996,0.4920730847856712,0.475616231711214,0.5891964088315343,0.3556099574123818,0.2863355762001058,0.24138522192545186,0.31161107022351997,0.3748588861898907,0.3137798778242034,0.34309503370488315,0.4097274060122605,0.42170141114294923,0.46265803650968673,0.3835317646891032,0.32933741503816716,0.2833258818588275,0.3239103956898041,0.25739702186385405,0.29303307719638566,0.5183334215121753,0.30964860158067997,0.31287283848005965,0.45439733846673713,0.34662330025630445,0.38272471707637373,0.3726351933692851,0.5435366148923602,0.43210396997032413,0.455020850278014,0.6387835642779462,0.5974063306107257,0.704337064542713,0.4495937843273409,0.45248009006094736,0.5229515082657364,0.5207597725324562,0.3740298332229379,0.3407551216084777,0.340171896807988,0.3483431924668992,0.3388759305672873,0.307249727591257,0.312136614992465,0.3427552070701775,0.48701278700719053,0.964847184918134,1.7499875202593695,1.3804687198159111,0.5289805636129655,0.35541094031704157,0.37683335253733474,0.3313289538137587,0.3616057884537461,0.35084081081245144,0.31582931739122094,0.3409671666507525,0.3313277384726972,0.6117705161478353,0.5454989156022978,0.5353183407453294,0.6871695718470107,0.8389029720568966,0.926312473191393,0.6141570636370023,0.4991968224819117,0.42613767041285155,0.3567795055555237,0.32995138389482437,0.3784791568816996,0.37773537189686796,0.5859984835145118,0.38521488445547764,0.47115535672918596,0.5787728406234627,0.3711031031910916,0.3858890004897529,0.3848465959775328,0.42002998680952214,0.45955310433697427,0.4669007061186714,0.6972413726510793,1.2325866789112798,0.780534230344434,1.3275718068072222,1.1847866883794715,0.9010666286388053,0.9518588482174919,0.6642403742963463,0.5866878801792761,0.7497499105130839,0.3783411452033442,0.42274097001454664,0.43094988147583524,0.4437785834258444,0.604863253213941,0.4171594699231705,0.3989156516953481,0.6079676681008442,0.6760646423426674,0.4421559350135507,0.49001699507289537,0.8119465844793476,0.6267420670475882,0.5902247474760367,0.7321346290258883,0.8908500717809403,0.8365831272291931,0.7518718452713142,0.7386018625399856,0.8318559896053752,0.6385694395266557,0.5701537057806768,0.6589906302812976,0.6152032359892274,1.546715630732301,0.7536838735606084,1.4180223767740212,0.8500241438755659,0.940596501540134,0.9734377081878142,0.9033943479900699,0.7159395599209514,0.5846188362270474,0.672702222191304,0.6097048819369972,0.6453111374595705,0.4270878253813265,0.8935976548102079,0.6398247390488621,0.7011812308304116,0.8382477152064216,0.429730656596355,0.495579143209849,0.6223815238677569,0.8419893350851166,1.1092103724566438,1.3010916657940554,1.3869765187186947,1.0242851403969606,1.1091455134514365,1.3425304783286423,1.1721479443741314,1.081616024474809,1.3390081005340373,1.418300612511554,1.1240642041215678,1.1891361577108313,1.3926669205455877,1.3838393512424227,1.1009843550236456,1.1735761724661733,0.952911086845998,0.9844876125095018,0.9529259649122631,0.8807939928346935,0.8056859416393796,0.6703172552058773,0.6530678815148359,0.5715842378857011,0.5478419553995496,0.4538162122544224,0.4983745991507174,0.6081379638892443,0.5419758724853816,0.53925967400044,0.563146523503729,0.8056835395159007,0.7452461253476125,0.785751448323032,0.9911473350254091,1.271160590954957,1.064867792518532,1.0376044407210068,0.7723052774579074,0.6432279585368612,1.180523819361691,0.9138860401690018,0.9909834682286138,0.8664803230497493,0.5354085138486644,0.4885799574418321,0.44474523160056534,0.6141043420701716,0.38158766314226833,0.4017402111955247,0.42828471590531036,0.7202029249597012,0.3488438262388506,0.4430397918960336,0.46446636367550426,0.32569720027747395,0.6712904263591093,1.0653605727542128,1.2912625113996627,1.149216480191554,2.0873002886101193,3.263513489677273],[1.123143330691432,0.6683526221195674,0.6125840727304157,0.43814698417006886,0.39833388217828763,0.4442407849691319,0.35940451367508663,0.38858326242894714,0.3574682763868452,0.23713030568848245,0.3006748730268733,0.4061538408239435,0.3131637123985953,0.41468584590603824,0.5499997778239889,0.45352414834604543,0.48543028124825205,0.6044278460761313,0.7147204339798068,0.6414043438693036,0.700503710179938,0.6673139460849453,0.786108520343475,0.9090908933889708,0.7004975725911284,0.6939075039103886,0.5922265290813667,0.5352075273276289,0.524865655859246,0.4671656716976754,0.5764925175579116,0.4782867925770065,0.6405983914369362,0.5475690467182,0.5026512950416631,0.5076965317182478,0.4485577679226829,0.505569495461328,0.46898601934400025,0.47697235214118,0.5265577809596053,0.6455240592689259,0.6682242330515997,0.7590842849315966,1.0735444557686595,1.5000039474408327,1.5576427707686307,0.9482684915997361,1.828170540063604,1.4874165746269294,0.798314000175254,1.9472789221800098,1.0576992530589808,0.5979130088835671,1.6376100088152206,1.1179179383956053,1.590433639160055,1.6343202443069715,0.9459741264215473,0.8328329304586475,0.763637986300301,0.7461358298638452,0.7282661568189379,0.7871304663997007,0.6742904833837476,0.6420973680504826,0.9062597532437783,0.74125639718365,0.915611015666734,0.8204552462955046,1.0916694099312616,1.4575010283705536,1.019716563195157,1.0161661164754492,0.7507640653431451,1.228441216288438,0.6503823738251617,0.5893115434125472,0.5661665797275576,0.6097382270625578,0.578617836374224,0.6717241020668727,1.014157367334039,0.562938810768388,0.6381724885370608,0.4913681064120705,0.5077774138466532,0.5096224587469395,0.5390338221694992,0.6153671947328065,0.6057981202639316,0.7984115927934655,0.6646401436546089,0.5982463575962125,0.5656845137850107,0.668705215514973,0.6732256998194378,0.5210113521805267,0.47089155399527416,0.8501752417719668,0.5143975718582868,0.5731067607085318,0.45406571675404306,0.5283556864388632,0.7692567441864123,0.5351633480200976,0.6903311747741699,0.5454043299230159,0.5354958648865492,0.6582654574045895,0.4780266747340951,0.36403276865827966,0.31897556665118154,0.342676094640992,0.44243455250798186,0.40467447378055815,0.4896789266387232,0.5270311897095976,0.6826572436615739,0.6729876241646133,0.6113404235396134,0.5039764389155673,0.4579664913771305,0.42838677423527804,0.2911591156453367,0.3092887384561451,0.5777652285912136,0.33946240134839356,0.3732127452703575,0.5248435793468467,0.3923338637147283,0.4515650163280046,0.41901495913184894,0.5898963280212408,0.4618657140109311,0.47726801903582605,0.6650568117133291,0.607292097339206,0.7145628516188243,0.5263595603951476,0.5478402423237038,0.6762351444210578,0.6625845672589992,0.5065227775123091,0.45925820894211605,0.437283729222443,0.42942613564439786,0.38275194340076607,0.3552689916542427,0.3541888862583711,0.43647475791325907,0.5929774175688942,1.1537596478022327,2.0230619826251357,1.458643147614576,0.6859077393599382,0.4627430806172548,0.49636188055152697,0.4102558422509703,0.4259208179432426,0.4034630090330601,0.37260258169965804,0.4132075914094702,0.4092864302089797,0.6164604088064565,0.6393628318114059,0.5684874507970682,0.7366975258503494,0.8555349144733391,0.953502862895447,0.6344616713250812,0.5170858391818322,0.4581383686843937,0.39396333461654426,0.3765806108467784,0.4431463371907606,0.43003115488139637,0.6598454508919432,0.4400002662005573,0.5174511291415453,0.5814306092344514,0.42255324497312857,0.4289786757333936,0.42247236504034086,0.4533970779798199,0.5215035463494927,0.5362432062823766,0.7812585875188877,1.2208969664417324,0.813037718086289,1.3620237023081267,1.2262252306280301,0.9325775192071103,0.9603833684077775,0.6669557597466536,0.6164288931584411,0.7653388236530503,0.41439436095517923,0.45398985085751997,0.5071351292770175,0.5865078872352054,0.7842389316311145,0.5593061139004921,0.524959013952466,0.8110700055409095,0.8809389096245032,0.5529757173699726,0.6691509309533281,1.065021077247058,0.8332290194742501,0.7605946262093706,0.9716573064028827,1.1409521406415535,0.9726447122148528,0.9368098090827011,0.8651643983177169,1.0236953704240939,0.7181987621958572,0.7167016732553187,0.8779199727577153,0.8300368994645548,1.6539824353931822,0.9624170170164064,1.6216991513451886,1.0723605696442384,1.1603799303454423,1.1764914456676843,1.0805373264858602,0.8987076036707607,0.7439868325115735,0.821253093254078,0.7244355605600987,0.7282679915342205,0.5160337639745969,0.9138676388409973,0.668128228618632,0.7115849641684823,0.8340227056024531,0.4719013531143928,0.6185872740608083,0.7666471891841988,1.007978606475684,1.287460337406378,1.530517167361234,1.595364134897117,1.217168003019816,1.3715170055317936,1.6078266155577763,1.4062238793510315,1.3458999889612333,1.6550772931289541,1.738420124210791,1.4080259018520203,1.5053156939920078,1.740606860613479,1.6858679717959655,1.4086789095634018,1.5138480520851345,1.2530343595782907,1.2872012929438195,1.224413661511567,1.1443087014317854,1.0871046030762102,0.9088036201366709,0.8743348810754745,0.7896669233344094,0.7400972863629185,0.5908369357978658,0.6327824880091446,0.7103667184219229,0.606198151145215,0.5862118147724744,0.6099331738890925,0.8599033910678338,0.7677433024506085,0.7899647749593808,0.996675195590023,1.2504940161032754,1.0879554616819946,1.0206996031237139,0.7851402649523633,0.656154169817505,1.1115152732751528,0.8709422018679875,0.9792601954684166,0.8730040963200874,0.5813629219708578,0.5162640830817481,0.4749625001167379,0.6589905549143894,0.4303647707725187,0.5719429864097141,0.6330257965383,0.7955345092130072,0.5171590307566019,0.6274844248908674,0.7116542106107593,0.4965166448492592,0.7369970727379995,1.0682119420552785,1.4259578698814719,1.5106047542396772,2.5947213078361684,3.9228684289830618],[1.1156468580411079,0.7241257747465212,0.5427371428989556,0.46705469411426154,0.3722194623133138,0.39434817703635255,0.3188198517275117,0.31595051533595786,0.29102889240499785,0.21312489519357036,0.259372442182953,0.3778771410876396,0.2728840072454864,0.3070995361622657,0.44638863283402513,0.3945606138137241,0.4108299293434511,0.5230926513946348,0.6203955342617327,0.5662760678725913,0.6269625270229682,0.5957704383306797,0.7374040909784668,0.8622788475808274,0.6452985939851358,0.6181467667424064,0.510268821584179,0.44633234233166846,0.4446254854171177,0.4144049464820843,0.5309614149024062,0.456214378420326,0.6421778209809541,0.534026222980818,0.48068225538849163,0.4625193114635019,0.4177255696181804,0.44527280382091766,0.4057128920994048,0.42790749486984436,0.46114446622029637,0.5728997626398052,0.5901437908010329,0.7349915107243367,1.0548180480047353,1.5326373642135815,1.5910679950825517,0.9161488847448898,1.8930323574266574,1.5689294218649,0.7685847886977046,1.9989611231452538,1.066436792057394,0.5672163885559341,1.5919863707568105,1.1054261516817876,1.4785940459364688,1.6490147572886962,0.9094758307292203,0.841537988090322,0.7388113059464254,0.6883168848106578,0.6760900815671599,0.734978214536616,0.6019231335725145,0.5642583038855603,0.8435834828106799,0.6650282834984109,0.8407880031274615,0.7071593971476595,0.9730834005225083,1.359985328073196,0.9036479608956145,0.9640443046393652,0.6771543433171212,1.20561996387066,0.5966441345379906,0.5544378764898298,0.5227322102641676,0.5471086517082212,0.5272552433594695,0.6327132083148252,1.0010149163821909,0.5189932199080867,0.6312290566569386,0.45405955699839556,0.44607170608406865,0.473927737370823,0.4834267781850075,0.5951086343309008,0.570285217780448,0.787965945067968,0.6512063936327943,0.5868014928680223,0.5348293529142162,0.6570128282048112,0.6313512709881114,0.5160430520595901,0.45999850488715677,0.8139242834173154,0.49279923549893606,0.5416195592562736,0.41703612699272763,0.46969370508663405,0.6933680650099568,0.4913552854586828,0.6452347550090812,0.5409699413894319,0.5455132243786356,0.5986823533175533,0.41005454369130484,0.3158483779118388,0.2792949352157433,0.3196194682960076,0.410757330050789,0.35129971800419596,0.41424812291162566,0.4510986078796901,0.6003793322976916,0.5819799407282958,0.5075937182015389,0.4116591387031768,0.3882108253682221,0.37727480284710513,0.28881110224889445,0.29431541436309516,0.4780065656852691,0.3049365284593127,0.3134518492947101,0.45523915708837487,0.3487243049722533,0.39426941074710353,0.37175234535054635,0.5358049314002953,0.4233590560615897,0.4534584586970246,0.6460338714084897,0.5572580809695316,0.6354786681437895,0.4943056015748288,0.4795724912226806,0.6351133828487574,0.5890730933820093,0.4338238461725374,0.3965873094132831,0.37993226171397465,0.36595170449135456,0.3499887692816786,0.31107431905197547,0.325305137499957,0.37054837693737536,0.515941020689299,1.0924216273551672,1.9722650789535967,1.387305292235168,0.6189730317082462,0.4161502619846722,0.43693770027151113,0.36565070455688886,0.3763913087422586,0.36176546924811764,0.32968025859123434,0.374300280218437,0.3614441808713331,0.5724488767843212,0.6131041829749329,0.591582928595937,0.7986863158835822,0.9237286428354196,0.9956464405264008,0.6513924796761941,0.5016432633780228,0.42946755938819614,0.3631046550841793,0.3420319977440515,0.39969289841799743,0.40073840133985617,0.637088406364584,0.4065301614593817,0.4790907343742339,0.5920601600812244,0.3698822889055462,0.38518545735716214,0.3950091681830211,0.44547472120230347,0.5047862728883309,0.5109776320992422,0.741118524953961,1.2638720572613509,0.8193877716063904,1.3522246713432178,1.2413517365513986,0.9472418878352792,0.9560536309260976,0.6477659336848808,0.654143603689293,0.722654318999297,0.38181626729511786,0.42980807072765365,0.44587226838204974,0.5019913583408462,0.7079001137235014,0.4900137397497401,0.4636241341552727,0.7452468043316371,0.8374479829192082,0.5211073462426974,0.616542565534495,1.0263781723535441,0.8030083939111481,0.7174568252392051,0.9409404120245988,1.1289653470979255,0.9102542166889481,0.9134558176988767,0.8296907341639395,1.0190755085177623,0.7049500137668451,0.6674832574693478,0.8249976150991382,0.7575091542766486,1.5456171484426058,0.9181053720240595,1.5879970386856328,0.9881126895520295,1.0603547165993752,1.0820460894658523,0.9807970860076936,0.7971414404950413,0.6495193884452116,0.7412797848462008,0.6569762250316182,0.6854726606691841,0.45921668023914886,0.8687817962635997,0.7058272601245192,0.7394355729150107,0.8438722768730551,0.4534598228696128,0.543099794196923,0.6758011195630766,0.9255833422399556,1.2266120079746177,1.458729308194478,1.547061476917395,1.1626961194075485,1.3118657598644783,1.5580565221936131,1.3590857380686536,1.2918226834071584,1.618845045477273,1.7211746613071888,1.393132843365315,1.4832098618443126,1.7463170389318219,1.7151719644120251,1.3980923281271895,1.4973627213085898,1.216389194841127,1.2400083924221954,1.163929652758483,1.068463215454196,1.0198202242121608,0.8406245913491339,0.7924899920816383,0.7077883814663294,0.665608602381158,0.5297960383842896,0.5718947005227248,0.7089647923704042,0.5949994733607972,0.592587066565106,0.6106120687433472,0.8932619570405463,0.8073684774805573,0.8479410052310511,1.0833295351784105,1.3113252942446376,1.1509860516724917,1.052291057423194,0.7657986139328685,0.6155875830592409,1.1081951572696005,0.8941932971616545,1.0578843421404622,0.9439106672461863,0.5959510449946671,0.5151742649902618,0.44807003041103116,0.6207531881756729,0.39708635800260544,0.4876950081055337,0.5274923900839118,0.7303370303285444,0.4493270349857783,0.5460817489487212,0.5815268724080279,0.4199390294054653,0.7508259119712521,1.0829836836974487,1.518408923773501,1.5549368290513665,2.7131531718155943,3.940663202707656],[1.1751296002866505,0.665627734236783,0.5408061351893957,0.4837977977725129,0.41506534658219923,0.39751984715179467,0.3336893104689066,0.3772989202526448,0.34403424998278875,0.29336736840520977,0.3497651687546637,0.4729039279318547,0.3586921412323958,0.3452449964589557,0.5352948323924408,0.4617108705493413,0.443207709556324,0.5222068849768681,0.5688655928897559,0.5465303017006975,0.5824377883215236,0.5773908222049422,0.665846549142187,0.7629289985693299,0.643916133881322,0.5771399077519161,0.4857178605374171,0.4522354179101262,0.48549054655462653,0.474456370569052,0.5547908130181376,0.5016236207347106,0.6273962078595571,0.5320583833477717,0.4989044605337342,0.4852286634618467,0.469091675652805,0.4763613954104403,0.43266999719066684,0.4503463035484462,0.46152866788198826,0.5580324937425569,0.5695144150446602,0.7532839091251939,1.0688018912607729,1.555333183596605,1.6469269192095493,0.9335965604256304,2.06063152872393,1.8161327999562078,0.8053040976406032,2.003692496933549,0.981241766601811,0.544075846575854,1.5893084139668474,1.0584949895780744,1.5709669684019176,1.4978703836366003,0.8941748859744191,0.7921746968582849,0.6896674705198321,0.6589162849942922,0.6533435090732558,0.6746533415671258,0.5546684199377891,0.5458697866046639,0.8003251757515704,0.6277788857649786,0.7774851457035251,0.6795790038217199,0.9269367420568865,1.2836071400189588,0.87098737503188,0.8953234807621413,0.6450973616747784,1.13745347564591,0.5512220741753144,0.5530165484615357,0.522293761065201,0.5581516186314489,0.5593117333965945,0.6188362854693654,1.0456483720871765,0.5597151901972958,0.6293159332695238,0.4917159528807262,0.4892265274386673,0.5370743155288659,0.4943716321526763,0.5954532193217642,0.5530406685861382,0.7716977913778337,0.6268783059164181,0.5928889211853818,0.5627768905310773,0.6625108447744512,0.6948704942376271,0.5590456106967032,0.5182912660778888,0.7744867832841047,0.551050892556512,0.6248228281676583,0.49065157200142884,0.5668022604318941,0.7613505505569012,0.5802068615420087,0.7515092040090112,0.5820635609991521,0.5965093989038774,0.6538850950638172,0.45508928105420965,0.3770148324654126,0.3332173997280787,0.365053010777525,0.4255046668688152,0.3727451640580013,0.4180302216564878,0.43497716301395567,0.5156275769184936,0.551819308484511,0.4614110555110983,0.4047673238117005,0.36321510498527076,0.3771794030719588,0.3230534331707371,0.3282257296820312,0.5259185211710691,0.35926953464290523,0.3738058743100296,0.5201145217545401,0.39092352693167287,0.46834128424771887,0.43785483475167575,0.5954637179217354,0.4806634952505744,0.51486509566349,0.6777353656392056,0.5669533528579499,0.6233583458409524,0.4626611251839061,0.4982724769288263,0.5807812071642162,0.5608898673600916,0.4230613468422955,0.4047113496386748,0.421089408489269,0.40585122591573364,0.3968119773801563,0.38063158980074463,0.42553651452681046,0.47628338877740356,0.5829246775249288,1.1712479066788863,1.8633201514987225,1.2577911546279805,0.6260785425720119,0.49972676710812913,0.5285096146871889,0.4559012806620743,0.492045031976786,0.4101483355583166,0.3873482768219692,0.38896609721365943,0.38988680784042806,0.6023658928016016,0.5352752186752358,0.5915639915168954,0.79401097978232,0.967815653021358,1.0110271902866579,0.6852947361371141,0.5270053286050267,0.4606749928668976,0.43782103582505977,0.4217414209323331,0.4697560608350713,0.46773855397731295,0.7095807586505859,0.4557336698317384,0.5642509570688621,0.6381361884696418,0.46103416585504525,0.4513389254362949,0.4482071587300305,0.4650880887732706,0.4993785609945295,0.5123830759142208,0.7249289160037878,1.2877660257871353,0.8232857171152451,1.296164157326466,1.182052531176067,0.9300571557392663,0.9678273307601272,0.6850326657119001,0.6421562239523474,0.7690414489660118,0.4174089385566814,0.4464088672154746,0.46948151041251424,0.576179765428105,0.7900283513880854,0.5416284917700864,0.5057309861810111,0.8077401559188945,0.8792406440404618,0.5400845689642708,0.6336611536320024,1.0678315256871376,0.795064904555766,0.7007918948459976,0.9389368181648217,1.1191450120083815,0.8805341951914839,0.8710893249013519,0.7966039464730563,0.9935411083638326,0.7011204323974753,0.6640415113796007,0.8369160484676355,0.7964520430865119,1.5641655991067485,0.9748296624205303,1.6645965861822876,1.0612326834228107,1.1359563131230856,1.1689219162988975,1.0662389273065518,0.884075318090597,0.7263978082295787,0.8495347089347197,0.7464658256228925,0.7707293367710137,0.5455783919905172,0.8806146439054551,0.7105022437644622,0.7320733904055227,0.8109820615545229,0.47416649602858685,0.627124104754558,0.7824747077073498,1.0214477264085395,1.3466423693146472,1.5456230767219536,1.6553599813071007,1.282617439040415,1.4133750299439047,1.6512291556434804,1.4573432216149385,1.3738822070384222,1.7046872390771117,1.8059813399891629,1.4633424387383953,1.5527062508028404,1.813243688079645,1.7580920493838224,1.4316671934506258,1.5414463975322794,1.2598475002582947,1.3081518716700935,1.2414450999883808,1.1482254128941285,1.080898007624065,0.8862273397124557,0.8671831785604805,0.7567619878264727,0.6867782516896904,0.5602551770044546,0.6032151200055028,0.728103105407137,0.603891156226332,0.6074195120270831,0.6070906974800735,0.8856917487654795,0.8032749339479089,0.8506728266074892,1.0611646907726022,1.2935081350791409,1.178119918533777,1.0709788745817677,0.7685518756678836,0.6302864929279675,1.1523053541689687,0.9331956831357471,1.0659798528818447,0.9632898445204435,0.612326313895506,0.5433341336959533,0.4723447134563128,0.6795758866173491,0.4454913706274047,0.5047793521840519,0.5443840681226563,0.7308544432487251,0.4831046071299777,0.571824746940558,0.5806143652341614,0.45627046927623033,0.7361076706117374,1.0800419350044839,1.5340511407103774,1.5743550281724612,2.6576178969593856,3.7525681934859754],[1.32318276720938,0.6829659923157547,0.5875512025644517,0.48534752228227834,0.40607882866745276,0.4062257976732951,0.3232298937619139,0.36966041606455874,0.3164162170388451,0.2930274345962969,0.35574544926451684,0.4630504110875443,0.3665457715343785,0.39591079988019695,0.6299881835352991,0.5197062280081123,0.4888725951125095,0.6061609115668931,0.6579412995401782,0.6183619306779078,0.6576923984007359,0.6296169056860242,0.7420483485368375,0.8439313573957018,0.657554435909029,0.6198695893986184,0.5354042398735974,0.5020667677214748,0.5349153470435674,0.5251453269175612,0.6348355876463104,0.5707387779479864,0.6983355737815101,0.6287452130284308,0.5725377953964618,0.5521082260572149,0.538227179716302,0.5347124914138809,0.46779277826107685,0.4961634825855133,0.506321153531459,0.6278943881040862,0.6464158458049107,0.7866943431886063,1.082401820609506,1.5439978220916872,1.6135434356451286,0.9573331624722629,1.988051965181745,1.6989418074574572,0.8220672531261703,1.9509166764635473,1.0304932659680752,0.6049223364547486,1.6518625462913474,1.1247106033507912,1.7278550036515694,1.4951656544674012,0.9640786530758937,0.8250376060624824,0.7312798710824179,0.7427173815517248,0.7287402229159161,0.7605387169640171,0.6261068846689284,0.6156122327616643,0.8798190375022875,0.7248026917610599,0.8417070235705625,0.7679994902333901,0.983506266316896,1.3906584613873345,0.9738024684974931,0.9903293667759501,0.7564595778280777,1.2514646307572406,0.6661756304249166,0.6482969962380895,0.6099776355177317,0.6415827506839897,0.6410884157981567,0.7041264026583322,1.049774315116038,0.6359400466896021,0.6398859543409857,0.5535601532236076,0.5490161387645872,0.5890903547161171,0.5634722713727378,0.6683820925978703,0.6507719398040304,0.8720377397384234,0.7272032238875412,0.7028100819230594,0.6583857720869615,0.7612758494460186,0.7768139208361863,0.6293835399636875,0.5674595885931106,0.8358977072111621,0.5795910671053904,0.6474383232458136,0.516631378826383,0.5818706110978564,0.848618719627822,0.5919770319796327,0.805747031296117,0.6024040323640292,0.6342782024679321,0.6619788132743687,0.4684029962071349,0.38612895418345444,0.33326821035215437,0.3941071029679625,0.4448273968684083,0.37793327236956503,0.44438019974273696,0.4731901145069465,0.57409492494002,0.6140117694903424,0.5108615460554781,0.4381906070173418,0.3952109082137086,0.3973363703803889,0.34197765889739123,0.3456633834583359,0.5292908213389548,0.3736985231465319,0.3789847402634066,0.5347798937517965,0.4146347784185306,0.4949400822832731,0.44742069199535695,0.6222143773050587,0.4890293612655189,0.5122818968131728,0.6856580903797463,0.59857801518626,0.6674860768019294,0.5000572527736151,0.5180559419662387,0.6038639229462069,0.588736593761349,0.4554539932362187,0.43604014047667644,0.44669407096686414,0.4383651554945075,0.4177345662355103,0.39441370223302696,0.41868615503480083,0.4660428530198653,0.5535690213868931,1.2109480168860374,1.9180188439812806,1.1898651301997538,0.652745655431522,0.5051575606640586,0.5346238225296203,0.4738762582930937,0.5100639266862682,0.4285282540016178,0.4191513467515823,0.4097987320544523,0.41580047314061197,0.6285510561943571,0.5697567582610186,0.5887751961042874,0.7944265080352942,0.9582971270941689,1.0143479408480567,0.6858989849874665,0.5383367874741618,0.476444415467975,0.44837213663271747,0.4457241452166205,0.5057915573932168,0.4967863372952168,0.7588654042638515,0.5107619034846351,0.6103016474524995,0.6260222054226172,0.4752012287501798,0.4747163680681029,0.469879949390237,0.4835915600552988,0.5243695793545906,0.5372264348346568,0.7395155019979268,1.262627721383523,0.8104624872608683,1.2666669181493793,1.1528534999198286,0.9018919232772845,0.9684955425711987,0.7072422102101386,0.6040146934547348,0.7886210517640035,0.4386682884369741,0.46101149214451015,0.5035672611626895,0.6527081035790239,0.869361189620501,0.5836578082658365,0.5484068661459144,0.889273224291612,0.9196159251679817,0.5542614653239701,0.6775745925080214,1.1463318642532674,0.8069354887867091,0.737017886212981,0.9855527984291197,1.1229609976954942,0.9123038677485064,0.9082332488472432,0.8227428584846466,1.0628567919547662,0.7591957790114618,0.7428193678943709,0.9378733911143916,0.9230846210158913,1.7110072685516118,1.125519521257408,1.7939314472654133,1.2030809071195636,1.3168771254691483,1.346027484270834,1.2471062995196374,1.0455809181901068,0.8466994486487306,0.9724951049924297,0.8438049882802972,0.8312539049540527,0.6124412608413025,0.9194850998699301,0.7010176507591566,0.7329401374678662,0.7996906891167738,0.49550124775433285,0.7034427641812664,0.898754553709285,1.151300309283404,1.4948674600742353,1.727972575986571,1.8152142323540883,1.4152233286305511,1.5877668833562972,1.832798704259406,1.5831123761792263,1.5001768769521884,1.874883915898777,1.9604211321258187,1.5632704241892599,1.7023598295018358,1.980427744906032,1.8475981594961313,1.5389182807312165,1.6997310920025035,1.3971142045509708,1.4718118896037842,1.3912553968819739,1.3133066979976953,1.2353592543481338,0.9952939282832074,0.9951887391296556,0.8851823971147671,0.7886265859422663,0.6315260716747103,0.6926720069452688,0.7836388779575313,0.6286680239968071,0.6259699053789071,0.6374365805483754,0.9103649400822902,0.8051355141677475,0.86248713240743,1.066581936795782,1.286213910297299,1.2429154091582137,1.0995692428313504,0.7867934195414149,0.6619241822365769,1.1589210264810876,0.952515477256854,1.0787384732784835,0.9713192758695103,0.6063760492003418,0.553845514597987,0.48602280791841496,0.678387012583758,0.46300913418114825,0.5592584682222873,0.614973554472972,0.7151786756165404,0.5196358032517691,0.6534699363535955,0.6564073193903197,0.48060539649433315,0.8110618873048334,1.1616849434864565,1.783134356336586,2.156232375119741,3.4484062155643986,4.473563083717863],[1.4536413917975683,0.7301961761734718,0.7381106335322956,0.5170233552284802,0.5171792903239291,0.4841377236616091,0.4142820830748367,0.479200932569742,0.3998660085379107,0.3770892676131845,0.46547902118518203,0.5688176446042981,0.47943120205594214,0.46206481462970167,0.7332990924967199,0.6100349929080874,0.5459532900344276,0.6618898149908953,0.6961063230620466,0.6678975181434291,0.6860638117897541,0.6718821212815563,0.7543131825006546,0.8249284459692218,0.7046288765796926,0.6447035318220661,0.5788574639113555,0.5604130162498034,0.6076257816060422,0.6170849032503211,0.7197785043973824,0.6760700080271108,0.7931744192156803,0.7463487417954797,0.6767164772767053,0.6485176630996137,0.6465035735360958,0.6204200138331224,0.5439965458575923,0.5884703045907996,0.567540719358888,0.6682547210644455,0.6711302242117728,0.8488182377693526,1.126724621403982,1.5892543622062671,1.646014166415143,1.0293580068133503,2.0544043060023935,1.8156817682719115,0.8843190556580964,1.9232456521552976,1.059662957237628,0.6748191629970745,1.6689372846912078,1.1828922216288025,1.9505854058581418,1.3896427675235203,1.028752286596948,0.8640542499203578,0.7736560037014156,0.8283515337946645,0.8043412965394344,0.8111645865594407,0.6762763609640088,0.6816889947545473,0.9260067882256497,0.7827676548874853,0.8719529833913825,0.8196871049735146,1.0316716492055038,1.428011286817669,1.0175500036757603,1.0166633420688627,0.8160438872706642,1.261310098612729,0.7357090867600463,0.7477042613063755,0.708565976772222,0.7486727209113414,0.7659161296548047,0.793996156554441,1.1510353930283599,0.7804399472802298,0.6826345151683625,0.6627663793479674,0.650542957342702,0.7113795930735783,0.6597213272408429,0.7680150885881935,0.7399009425856473,0.9275523162430495,0.8085439305628184,0.8151676353102938,0.7548845249775133,0.8566767788014873,0.9027912876061932,0.7433375101996199,0.6910315491201127,0.920843404401437,0.707115689842637,0.801458345008488,0.6640421258268271,0.7342863567539119,1.038317879362533,0.7303107688744992,0.9983063188594177,0.7444299351389715,0.7735080577795722,0.7753609926556466,0.5885988525855326,0.5076892782203803,0.4350210828333505,0.46049584643873553,0.47057429687551855,0.4444168342600145,0.4979071327798303,0.5117067871663821,0.560034151033691,0.6380663536527014,0.5110641086569877,0.462806642478334,0.41619605294785694,0.43945045828167717,0.4038690974735711,0.4237635566264078,0.577797580197071,0.4999311859288537,0.5044913837351492,0.6499699114321181,0.5372064795906913,0.637657334294242,0.5615916121661215,0.7478500992185441,0.5867155901939081,0.583869315936308,0.7190053964654454,0.628162423084681,0.6894795893091593,0.5187916917788042,0.5742431759684019,0.6065712141012091,0.6148016873908635,0.5099857963079718,0.4957287689643206,0.5150225660243928,0.5212430143227149,0.4954044841066004,0.5006077781590146,0.5265744861056502,0.5874751701015845,0.6266500577006685,1.2764245403946985,1.7605149085863645,1.0544271589804175,0.7544794541166487,0.6350438268825654,0.6616430459771491,0.58935841992867,0.6439719214973499,0.5150679911529273,0.5083825002225932,0.47076324418560683,0.5025709144958471,0.7069563059879296,0.580631914306354,0.6259360437570791,0.8002582540642077,0.9921104899849276,1.0279058408435506,0.7250153027802904,0.5716871393417945,0.5311396020474813,0.5592748603554085,0.5691786240124699,0.6495688803453196,0.60920745835024,0.8795285268219205,0.6335069689810882,0.7487528261097551,0.7124176618235252,0.6172156105470774,0.6087871604836816,0.6078959380045947,0.5949757865220754,0.5998350641209541,0.6121315754721525,0.780457384659664,1.280019870224467,0.8710569429851936,1.2733901982983598,1.1146548170521704,0.8941688099371016,0.9971981451865419,0.7912509911829246,0.6739416805556502,0.913012223372867,0.5964259870358439,0.6012500162577833,0.657683219523243,0.8439492250543634,1.0371912765249676,0.7321326138041557,0.6903442754386996,1.036269104139618,1.0082799726608525,0.6487678917812504,0.7892503184335188,1.2532830557079084,0.8500344880450189,0.8150324444684106,1.0389313443237045,1.1104787747928735,1.0226072812480635,0.9810964365851931,0.915119156369312,1.1546484894262843,0.8678277027114438,0.8669182558525037,1.064321635856,1.0904734423718092,1.866288737903619,1.3356867181813805,1.9758370456633012,1.411763402728132,1.5497543480214484,1.5748494177360892,1.50420954668012,1.2936458752576723,1.070988971535577,1.2343998049932605,1.077982254596017,0.9839324276363116,0.8308795156406392,1.1032239948963638,0.8063815874064862,0.808507478357376,0.8531125470659903,0.6558334169786098,0.9047057413949132,1.1285441937585823,1.3713021447319036,1.716772746226714,1.9614487658775948,2.0381596921235343,1.6244296731722483,1.8236499934018717,2.062380028156339,1.7650348408286993,1.6603070164978695,2.0603358136085275,2.1194976383681845,1.6754533215333072,1.8629913245684517,2.141992070698693,1.9195864916500518,1.635332482044109,1.8471256085953884,1.5447637526764126,1.6624104396593762,1.5852587160000355,1.5388819274527008,1.4307068103732128,1.1496702438515078,1.1888150510326074,1.0802837463011772,0.9508972024773609,0.7950088596186924,0.8838322330278462,0.9120800639847719,0.722428321639949,0.7401456982411416,0.7874581174149555,0.9832658477691384,0.8547749935533573,0.917359563979569,1.0958718082011918,1.3049475153760275,1.3522997986176717,1.162565121825803,0.8508899525823544,0.7875279385897089,1.2508368587237946,1.041783265164653,1.1161756314361713,1.0345587194869954,0.7030008842849567,0.6527671689075963,0.6097071144962999,0.7537165747011282,0.5885333031178718,0.6855704249377711,0.744726586855953,0.7697221271918491,0.6390182039943104,0.7911080173506215,0.7804317850711143,0.588889829271265,0.9587437667435312,1.2245874253339146,1.914212688622004,2.6661182891045154,4.078562386686723,4.953504916684715],[1.4544569359123956,0.7126423708394002,0.6564492206567343,0.5297794522444973,0.43860461220315977,0.44164156164094703,0.3545236411251883,0.41882778744361976,0.3453400265619146,0.32246452767300965,0.40996973057607194,0.5027383347167773,0.40124938308846775,0.4087168283552865,0.626532164132819,0.5259228340171807,0.49734535580605344,0.5839802749444666,0.637097447516985,0.6007566855069126,0.6318285237752191,0.6112141444179953,0.721046823610205,0.8285644392386157,0.6511604810417263,0.5942572258557428,0.5248754401362495,0.48821914292522356,0.5302571475446521,0.5420062939666915,0.6470615612531959,0.5946850097448476,0.7276798010716614,0.6731088535108063,0.6024865831669383,0.5677514795080293,0.5605352672734599,0.5345154231239981,0.468209187808633,0.4958094919943908,0.4817946908001735,0.5981495107834452,0.6200085636296693,0.7637160468215174,1.0884845511876273,1.5691850712025053,1.6777837222239211,0.9392106004037168,2.041438167794694,1.8043991402359185,0.816563281652695,1.9333119409068398,0.9981219534019764,0.6000946027115055,1.6710601261377074,1.0957890354265918,1.7172799957659006,1.4548661228527298,0.9740188766238361,0.8170438730964541,0.7204937706342542,0.745597123869324,0.743555118127423,0.772387673138688,0.6223606829919346,0.6170297487318507,0.8662299919599681,0.7207374526809267,0.8346708620569792,0.7669700073524328,0.9728982903524018,1.391916303335311,0.9872807608729156,1.0004427894671,0.7662933621653905,1.2708158809642698,0.6805061626191592,0.6787685780733628,0.6382508173821307,0.6711885061785575,0.674868885229567,0.7224982904330086,1.084354880706195,0.6734103876701412,0.6168209119391821,0.5647837144573384,0.5546248167853187,0.6359609438883828,0.5847947295194658,0.6998618961582741,0.6784482169972372,0.8864565897110916,0.7552125117884995,0.7408306204517714,0.6809941877206214,0.7912611975696586,0.8124244111235556,0.666105462557638,0.6079681419040749,0.8612362186249718,0.6179438908093776,0.7194149086189038,0.5708069023728753,0.6372887622672379,0.8955021716204907,0.6671448381157824,0.9276725217282695,0.6856073475250508,0.7292936201761898,0.7445433829915248,0.5317292962932859,0.4307667577571021,0.36993603966110095,0.40703747300985926,0.4415623640235286,0.39523465703612737,0.44733897565716696,0.481036144372143,0.5678930718946406,0.5910741865205432,0.5237320185868607,0.44966747494179743,0.4143429879383057,0.41201938045285014,0.36211647691150056,0.3797980502888795,0.5444269578231817,0.43274889150078577,0.45846352374439653,0.5892302506882765,0.48327963082555225,0.5594781947370776,0.5101488865031848,0.6657304996931571,0.5433030932488385,0.5676484015494009,0.7551163910374127,0.615952738383359,0.6483171176602872,0.515168920213073,0.5548880556738203,0.5910558321987625,0.5612030153774262,0.4477798082085467,0.4236254830515756,0.4422698521182527,0.4328217371614358,0.4264171133025345,0.4158347631829321,0.4670412616967217,0.5100068557639965,0.56743306818292,1.2150658186590177,1.7446044508754766,1.0733954518118076,0.6803658613763434,0.5327294774493108,0.5764871766419029,0.4918293222658839,0.5514452540013732,0.4457255529087977,0.42776438797727107,0.42832788876467864,0.4177351875593943,0.6493463740950153,0.5740105622902008,0.6299914284998946,0.8723734919204018,1.0652483667136148,1.0799098122432411,0.7490588550834003,0.5872002012598702,0.5068527537331928,0.4890563121424948,0.4743661751069929,0.5480152067422236,0.5298343527493313,0.7950558282892621,0.5468390676228979,0.6549794293790102,0.6758863161570208,0.5330321219652105,0.5316642480192522,0.5176219618854165,0.5139154095496461,0.516330372199947,0.528240805999982,0.7377081798106144,1.2803738803018236,0.8491807650241422,1.3059463540056755,1.0883107728349966,0.912174372136232,1.003877628118003,0.7580532669230161,0.628100177805852,0.8056532284816585,0.5193383552463733,0.5333615543054891,0.5763972096792678,0.7943539114549257,1.009500699446207,0.6888791552048992,0.6589642954045344,1.0502779474135062,1.0541184701117003,0.6336563948686638,0.8060925497573982,1.3262637582720775,0.9203911383828295,0.8384720227316572,1.134275394342845,1.259118360493867,0.9349037224478068,0.9953596333281383,0.9025868042048484,1.2072968653677698,0.8578030760427023,0.8755573159448758,1.110622155960731,1.1300843251793664,1.8118526549654423,1.3947307246024567,2.0267059313956075,1.417205953650575,1.5388525800730024,1.5474898877158128,1.445372623890392,1.2499570269634792,1.016004146723245,1.150439434100292,1.002784006214796,0.9539889244502282,0.7549032572548743,0.9875127736236576,0.7813122526991633,0.7861419432270667,0.8001036175600298,0.5799276286315614,0.8372429379538249,1.0565816835755915,1.3295794133893475,1.6778357578786018,1.919829470896578,2.0006902222895957,1.6039370345339592,1.8199590119728504,2.0622232618715453,1.7603444579564365,1.6947362507283332,2.123569531649748,2.206245858457881,1.7787027849963495,1.9594673120749648,2.2715278308424267,2.088614425628751,1.773819583299135,1.980832011012526,1.6417565037982487,1.7290374976802958,1.6200839638256816,1.5525150271790336,1.4766648206726434,1.1817627420545425,1.1875638007553038,1.079310210963296,0.9586510588476286,0.7691250524023158,0.8586833401110784,0.9221370090516594,0.7179875133393735,0.719554377739923,0.7510797526887582,1.0170310476886433,0.8738663081618232,0.9284825981594369,1.1457848603453644,1.3159196144733698,1.34853230119795,1.1369552835239185,0.8162541698045335,0.6903963907904026,1.1497274719735273,0.981245552716011,1.116268285254165,1.0204291258441147,0.6603485284973615,0.5931701372040693,0.5321338040714533,0.730143956100259,0.513147808490771,0.6170040649846079,0.6730208180840415,0.6982089358471792,0.5929025057349697,0.7295864920727458,0.684780555068939,0.5250378207227994,0.8424445177138321,1.0184670434177525,1.8755768817225675,2.4702732566776655,3.9327126289486705,4.90375105199092],[1.53870122604634,0.7407925469838331,0.7179759022215091,0.5210360650080652,0.46531876633218033,0.4849607126848033,0.3762101453527209,0.4574724691196693,0.36679452838590726,0.34407736962579405,0.4428536347523698,0.5513737776882709,0.4522507246442446,0.4341827281818959,0.6744197158687316,0.575918960871527,0.5340939017456161,0.6240901370242805,0.6675580935737896,0.6336561813084977,0.6620202574011336,0.6455180183523911,0.7452464901811561,0.8250242559778264,0.6621277544493773,0.6046774007614981,0.5316803067978899,0.5066686019363348,0.5637928654195914,0.5935819186017572,0.7109627732961933,0.6648076137580843,0.8018332388449056,0.7544860218190064,0.6765774668975054,0.6351101917731455,0.6296673669041727,0.5847156287093176,0.5112683134543001,0.5560907166596525,0.5166109804985771,0.6305438368709559,0.6716930096451106,0.7733524952532737,1.066169416068622,1.524470432711419,1.6304777535565118,0.9415707930456051,2.019660171349674,1.7959458360683342,0.8442479792457702,1.9169293004791395,1.0423910688268263,0.6420790887255599,1.7115784307308317,1.1343500864454377,1.844871563794668,1.3727564891185708,1.0244558660862575,0.8258372379125223,0.7433696371026373,0.8026684814193525,0.8115120211082926,0.8422449672675096,0.6752818995672163,0.6780476032488708,0.9176804715896205,0.77890201444301,0.8770702724374704,0.8213875057718645,1.0127227646580077,1.4489449553119451,1.038354316419179,1.0457562622861205,0.8271073073885943,1.3218869291820368,0.7592635916175334,0.7655327913725826,0.7155409226624813,0.7412910290826698,0.7505566272073054,0.7880697676741822,1.124206381032396,0.7748849391386744,0.6618223587786269,0.6299497895075422,0.6196517117643416,0.7116868097109521,0.6629561365579472,0.7839282910735602,0.7605820215956774,0.962813381548038,0.8391029143735685,0.8325121520104936,0.7529099888444923,0.887216335242883,0.868282114877654,0.7290499291143061,0.6811207207276173,0.9042795931862018,0.7054086961804603,0.7792649170898603,0.6521809424798167,0.7109787868923698,0.906637927250283,0.7619751471184376,1.0342541343351865,0.8032420965799372,0.834579632220475,0.8128145280465376,0.6236911835893783,0.48207454705166236,0.4007868468808878,0.4103250438285526,0.4741893260925243,0.3741839677365793,0.4363792485917319,0.482809102532754,0.5913033812659316,0.6219316256034801,0.5559650796799102,0.4756625520122205,0.40019544746940444,0.3910265353271397,0.3570706870619796,0.36896770836752724,0.5858468936091055,0.46439247509970094,0.5317883974449171,0.6618882975412698,0.5605528270807224,0.6296202977738072,0.5874524976176075,0.7388539475721835,0.6130026075399357,0.6235910216261549,0.820010560862104,0.6465486323204157,0.637955024878622,0.49651963914232394,0.5269829676936963,0.5505176893628971,0.5391962893954649,0.4379431160910343,0.43679797475714616,0.4637940917314344,0.4250224181560734,0.45895473406896964,0.4527467963845536,0.4949169833402943,0.5381274498229999,0.5668806047551137,1.183435192803092,1.5696994464512872,0.9694473272487844,0.6998995059946503,0.5780714981773473,0.6195963694970967,0.5381979859958523,0.600415579980206,0.4897720256081421,0.4698142211611313,0.4543138268570933,0.4565853775458725,0.7457497944326797,0.5667874847696864,0.6654745907451983,0.8849180936406716,1.0965152828045086,1.0976394468522583,0.7949847666858932,0.6231893446693927,0.5695351752288814,0.5217432574053943,0.5191028160321192,0.6025340912554373,0.6001708192481234,0.8667132164915899,0.606787574292568,0.7488442327627542,0.660693383489572,0.5916368394416283,0.5907469761154092,0.5716217287268827,0.5646617263677258,0.5429451215313452,0.5595488916521058,0.7785854264117,1.239546852839775,0.8363466985279497,1.3222108346925987,1.0990376394987185,0.9193452462560333,1.0293010710062214,0.8260839844375125,0.681177555475118,0.9019758071011965,0.6255165140847121,0.6231799200785637,0.6673965469585766,0.9387605555039226,1.150491302681762,0.7946294238313706,0.7720051795973302,1.1872812315259533,1.1400315427062877,0.7054924548964223,0.9070558568916621,1.4429081979025244,0.9734372907372077,0.9113145908406538,1.2244862721452292,1.2932709062598158,1.0120989058047987,1.0847462045873124,0.9890085937210554,1.301045480007445,0.9686793842778876,0.9914066694340858,1.257141382896686,1.3174358872117768,1.9556703597608276,1.6319377163304547,2.2361212400227344,1.632651294080722,1.7772715182919834,1.774281369312499,1.6880944322784834,1.4792947568808845,1.2140600733738447,1.366921557579013,1.219540779003623,1.1235661536885397,0.9378767433204572,1.1209054498322488,0.8665332085429939,0.84621188663423,0.8183077020073276,0.6891469335188718,0.9969398621985361,1.2501880481782566,1.5249181240752343,1.8778579517393899,2.1502492769590003,2.200133981923746,1.7910750300287561,2.0390377223334024,2.2837323118946964,1.9166552920106619,1.8456769927538892,2.301954491677361,2.353568414576512,1.8916315107902328,2.1288217028613174,2.44353364453234,2.180749125460564,1.9008313691911618,2.160284276555124,1.809557115946063,1.9292342507688354,1.807641382070171,1.7720962711855155,1.6843716488270146,1.3393873045903473,1.3756831300145849,1.2703423741006046,1.1172254605957022,0.9110736027686888,1.0430251152476806,1.0422561239910815,0.8043074323845503,0.8049058076946497,0.860948072783789,1.081275914665613,0.9261112591738597,0.9620308590992243,1.1884137034509286,1.3224737602175152,1.4196517854458195,1.1735953157177519,0.8700275606973645,0.7586836705371769,1.1818088457308096,1.012926485932231,1.117479687523485,1.0338269127606896,0.7058618623141798,0.6191056356298205,0.5922710173753927,0.7724561208149892,0.5742345018531441,0.7123208674787083,0.7612690658841333,0.7456190218487282,0.6845745470435799,0.8508514985340738,0.7810188471483728,0.5855228479382325,0.8389590502523735,0.9886309722574639,1.8433151667128698,2.6918887647120604,4.169978547334219,5.199892946013683],[1.5296105593714393,0.7373382072295211,0.7358044699950652,0.4951713916681529,0.49267762226218526,0.4938596629223079,0.40177257715329245,0.4647598415837777,0.3900677648139748,0.3432145619083179,0.43409903208200995,0.5359617666185121,0.43907581165233917,0.42775776593340187,0.6344208823382351,0.5457309462104494,0.5111985947023774,0.5983975452719968,0.6558572264761053,0.6087957179923995,0.6552299157411615,0.6243116332917527,0.7300792086992546,0.8018785114080779,0.6602487425159671,0.6018766761237762,0.516228485809089,0.4861496793505101,0.5361513336421517,0.5620800539095819,0.6788136637880307,0.6399320564517305,0.7850352059252065,0.7339677014388042,0.647812810025768,0.6026374104880106,0.6008745002006751,0.5492083615238481,0.4914154246018338,0.5283886467897132,0.49273343138373715,0.5974849906783131,0.6438738309047697,0.7572446392764232,1.0523627462586818,1.5211393143848453,1.6435134372095432,0.9158475314398072,2.059511504353432,1.8607298797263316,0.8462470826528957,1.9427913656278768,0.999942685181258,0.620004992759723,1.705436735048671,1.0878755205344446,1.7460030189089026,1.4185031194506657,1.0126912848301814,0.8145294453906903,0.7325968330379302,0.7839090155826689,0.7943718619403044,0.8312831087990736,0.666288602926681,0.6600907602482556,0.89395905501423,0.75429696017475,0.8778105938946262,0.8015493046580136,1.0096958883116594,1.4367678164134328,1.029805561128813,1.0530808332552453,0.8069657355508333,1.3354444079902252,0.7373287268218407,0.7419910478035625,0.6897803669063822,0.7119491426392099,0.7158285026277245,0.7537355820329777,1.1226880889115398,0.7502578421119303,0.6478388556159276,0.5998426481854094,0.5868027671950272,0.6781862692828384,0.6252001522952988,0.7539180815770081,0.7339997909605778,0.9470275367699146,0.8222403336045881,0.8087867338003476,0.7232286692241964,0.8540291011779968,0.8364902177756399,0.7070939524505451,0.6608173312690159,0.8971194839562877,0.6934241420702998,0.7759396188317929,0.6371683529134891,0.7192550770932938,0.8757118403489614,0.7841353975868199,1.045970643557799,0.8321920694737154,0.8680547883938687,0.8282241596285103,0.6438187376893757,0.48820861368816837,0.41017100091551123,0.39964528828931634,0.4773999890459344,0.36652872662686525,0.4305033523900349,0.5035594271656383,0.6194503295273047,0.6185888068457535,0.5695121898813891,0.4829782434823253,0.41312697261418185,0.3811905074864045,0.3534547336044767,0.3796201649527295,0.5782112132767764,0.46985349267063303,0.5563566701705365,0.6811829057826602,0.5778570169385383,0.6367513550285493,0.6123267721503663,0.7440688184544771,0.6365822222896511,0.6585523483721438,0.8802520405609835,0.7039249042665052,0.6748176106993575,0.5277378452776621,0.541503455893154,0.5852373454146108,0.5436565203885312,0.4389384418300669,0.4308246437532845,0.4584294866695968,0.41565604282427365,0.4707319076581321,0.4440858052222858,0.48341967349929443,0.5368596291115845,0.5656706148312244,1.1836237335428212,1.506112493013589,0.9617433252486268,0.6964228463120223,0.5736887624973487,0.6220567210496871,0.5272912361468781,0.602198158010055,0.49585055052108146,0.46270309971116397,0.4624223915843596,0.4469412222432494,0.7499088417195932,0.5876735043678794,0.7059231162005201,0.9703822004215132,1.1852996944200997,1.160001600478654,0.8397244236361818,0.6734691927078904,0.5968165789124193,0.5261522410814352,0.5085238699436826,0.5894188823552787,0.5790176315644282,0.8527364975539911,0.5819221091429294,0.7474148181143785,0.6624296916454688,0.598679636072699,0.5942285692241452,0.5682000547459212,0.5676828960611792,0.5368843748923149,0.5466570106624484,0.7665015406825652,1.2601290986391225,0.8670081568663661,1.3034895179684443,1.0963349137612675,0.9630372558322262,1.0586285393372938,0.8345848134231683,0.6960830438545158,0.9140386799510187,0.6519591000345776,0.6551186905550538,0.6929128739193439,0.9868775968629836,1.1932442848288891,0.8380578640869091,0.8267981216965318,1.2551509620234498,1.2135594123424116,0.7612725328496766,0.977147348640719,1.5408142020587245,1.0655372678710848,0.9790143701161345,1.3318695105341962,1.4127540058669061,1.0224456099626986,1.1437757811448617,1.0513283897843342,1.4007868744722303,1.017947031682681,1.0520917737679778,1.3609879432517644,1.4259980179218266,1.9839248943604981,1.7894651930189054,2.356004381698034,1.720684768516328,1.845981081901318,1.8210892728763366,1.7157738051187827,1.536494401436153,1.2678932519924808,1.4046827629137386,1.2637241265191648,1.1881926415563304,0.9891290776507815,1.1012539705464763,0.9480954717257077,0.8728023048736452,0.8261854023945616,0.7208380017613226,1.0280060953275896,1.2808553547410009,1.560154782075428,1.9117865795386937,2.1885302455103157,2.233035529656402,1.8334133592921504,2.1072775852266483,2.3429883253315285,1.9553547299826028,1.916352964705386,2.38980566269266,2.443564412893035,1.9908483005997837,2.2396349213093822,2.5728760151191197,2.311377257811414,2.032382560277359,2.3045095081255558,1.9341067047454354,2.043114695778003,1.9013831895008515,1.8648667816907811,1.7903973747560744,1.4280625331086545,1.4568236049412184,1.3528302387838493,1.1991216850691888,0.9781385286447033,1.1081072255158997,1.0944767641124213,0.8447021931234792,0.85259418347089,0.904545387100129,1.1444982021482188,0.9698294645086221,0.9884134263541454,1.2299982173077806,1.3488043531910545,1.426024993005738,1.1564679651544023,0.8511358300148288,0.7473250647521678,1.1372570397028507,1.0171078170510899,1.1393070204255542,1.0704940888994379,0.7594233075769448,0.6321373831353061,0.6061998463660315,0.7982333793306127,0.5871897621748444,0.72907589352355,0.7713716672112175,0.7383831106506458,0.7099616344571343,0.8534982149373819,0.7844786196823474,0.5931096308436642,0.828090010513789,0.8916845000118568,1.7784117582253878,2.5837621844860323,4.060182229904281,5.147836494764404],[1.6723885121701043,0.9448538399150233,0.9372892709220083,0.6993726184680339,0.6864848384227157,0.6345578608115994,0.5278430331219155,0.6303030861751636,0.5121498317143367,0.4933458828780783,0.5527290890906091,0.6696194459638617,0.5737227407631983,0.5288243727080014,0.7749470930128886,0.6896362579612354,0.6233913180398848,0.7056442826828272,0.7338465866958364,0.7095518725913853,0.7306655651578533,0.711293621297148,0.8020940704112182,0.8918915454445543,0.7086435590958844,0.6627836133049041,0.6154556766765414,0.5914599547971712,0.6566494697567864,0.7019152908430447,0.8144131636170433,0.7962948374567366,0.9125743833964381,0.8837870657497218,0.7988332663078592,0.7357067440069422,0.771046200983495,0.71765626670735,0.6139994272636755,0.6778038265893519,0.6259180399896671,0.7196414387050241,0.7468701426718387,0.882709716146898,1.139713077567095,1.6189630851754093,1.7175687435988538,1.0456284119714774,2.1307208916922082,1.9259104272165184,0.9542633987737823,1.9679945574656816,1.1121846239361148,0.7698616346092961,1.7435515448434447,1.2276463737935575,1.988232782776014,1.3494723352128373,1.0871501752199464,0.9489278310825724,0.8564153833543323,0.9081613155213208,0.9052992379018133,0.9169771542939522,0.757957963748964,0.7668100825259218,0.9868984504644496,0.8525475262429619,0.9321717296187385,0.8927515660195828,1.0666866340367316,1.4865206194815992,1.1223753214098418,1.1146549136380857,0.9324773035717779,1.3694346339019934,0.8504768937201851,0.8772584621374087,0.8277293725617655,0.8563040032144452,0.89983730350598,0.9076867413433378,1.2270170082953826,0.9045362983946774,0.7915552118970096,0.7833605272996397,0.7417362612416284,0.8463755682292037,0.7617219065937902,0.9047171495610935,0.8661215245627939,1.060865720151338,0.9650566778868778,0.9704437573566788,0.8664578735599905,0.9988724526599478,0.9569798349468088,0.8404653025556819,0.8143239066035326,0.9968992961478996,0.8527026458063678,0.9554253159044855,0.8412633666618651,0.9085853503661583,1.1769362990163137,0.9123033082154467,1.1599203197852008,0.9449314345099014,0.973505008706595,0.9428911862140036,0.7719333854755361,0.6626189342297077,0.5900900599685223,0.5709244583345233,0.5436640638469664,0.49410064040183344,0.5240984101234007,0.5416914895315659,0.6103447036727236,0.6601241329826899,0.5695537207570563,0.5205480035375055,0.48267478313154066,0.5067546151344531,0.5054485521990746,0.5284979467407296,0.7123174989552769,0.6426045799139357,0.7396151187789121,0.854503731468495,0.7889490654153577,0.8612111071292365,0.8009638073345229,0.8964682341063012,0.7969459519664013,0.7729417898440332,0.9276735423800343,0.7650331891448897,0.7179754020993189,0.6052918219012764,0.6315224352470729,0.627457869530742,0.6163474901314131,0.5260481003374053,0.5472747449758898,0.5743611027348711,0.564470274035551,0.5972780232503359,0.6186225715976408,0.6623272008859261,0.7369207502358037,0.7504931293532404,1.3130593730909563,1.487309279455304,1.009786516485394,0.8946767694494084,0.7431339570409148,0.8079600840815041,0.7134949017116099,0.7672582555780092,0.6532915581196499,0.6123405078909538,0.5704372730977788,0.5973726519909589,0.8152934795471742,0.6475797426253507,0.764643354557674,0.9725716502810854,1.1939614090224244,1.1525207568584745,0.8888859453602952,0.7396943073177815,0.699785124732045,0.6925138617186689,0.7003904032845856,0.803791066444785,0.7580462064471832,1.0175382828418411,0.7873542990387759,0.8980147883720837,0.8187523604131748,0.7838367059564743,0.803601869133175,0.7796456741710331,0.7246494347668686,0.7084724657119456,0.7096499261980257,0.8877564838354145,1.3673031525223538,0.9811967307222286,1.3983816351068932,1.1044391314506685,0.9956227323693885,1.1356017639010774,1.0155961993152869,0.8760079029643162,1.0260251511663472,0.8495629878054607,0.8775648404597518,0.9051079135225893,1.1689780977423563,1.3299164851167764,0.9993204398620973,1.0203092111068572,1.4027132449662567,1.3145161677462311,0.9538000472879924,1.1543327000513823,1.6241693499762193,1.1685039453196628,1.1548306994953355,1.435198912672754,1.4523752977773046,1.217018923574281,1.3234101137005738,1.263000716858661,1.509739689250533,1.2533852533282646,1.2624449948501708,1.5111859003307866,1.5988763508547026,2.1265228734664925,1.932693453488427,2.4984658932722326,1.9046961233309834,2.0515481862515275,2.018700058196309,1.9526349386700375,1.7628199028881957,1.4868996362081732,1.6075495077192388,1.4842305240702969,1.3940476043707488,1.2069602019918972,1.2990049160473234,1.161073148937769,1.1092191074892723,0.9920243505446654,0.9660361430311206,1.2056778134997443,1.4663390974814186,1.727681967810364,2.0583889949147696,2.344096739838205,2.362421390855248,1.9694805809713112,2.245389204190717,2.4705836233673613,2.053643262862921,2.0102539115769464,2.4722923988836802,2.493614181850737,2.03806857437168,2.311934109643295,2.614169087002283,2.2984922958485177,2.0801497250184475,2.384922367319719,2.0347168229562635,2.161653377819768,2.0165091931531633,2.0188447505112763,1.9444824330257684,1.5735180176092602,1.6180621738020131,1.5462534441238556,1.393270596861424,1.1992402663400499,1.3426618579070637,1.345689771568814,1.1125306446943029,1.1095491116942933,1.1861797099322071,1.3560440773133193,1.2139060349137574,1.2196749413210823,1.4528963891413267,1.507237009006129,1.6479104842274446,1.3782517678299724,1.1160799817816514,1.0234508428341167,1.3668583877383893,1.228989745727114,1.3031434055040798,1.235629966886184,0.9636492010805018,0.855258116000689,0.821148580245814,0.9345223235666235,0.8083307372752712,0.9083196427306258,0.9555570561444212,0.9022143350111498,0.8441722176720705,1.0107662562772717,0.927385347161281,0.7274878024606369,0.9386840657673158,0.970094643854154,1.9217029251629352,2.838815865030165,4.277902770929767,5.352593955293851],[1.6948302418446666,0.9741182197833514,0.9478995937051451,0.7063569830106878,0.6794741025201002,0.6724808879474323,0.5992894110737422,0.7001978058525041,0.626163579069707,0.6070478511756832,0.7113488073025638,0.8624520662048412,0.7328712606837388,0.6596827373180508,0.900139981873005,0.8381426403771151,0.7503505908269544,0.8192738881763659,0.8132560175122471,0.8179679260771298,0.8070781217084912,0.8147939351049602,0.8777808157212736,0.9097771849113812,0.8136085319732829,0.734590561781495,0.7263350482527007,0.700701899262089,0.7778498477762106,0.8348480643323147,0.934233775009877,0.9304773333836002,1.0659295906204014,1.0477927170590866,0.9592250712354197,0.8810959477613789,0.9076163523361981,0.8258593024626956,0.7740507798302126,0.8109255279478113,0.7158680550595449,0.8116678668032214,0.8747307073069476,0.8924685948975328,1.2224513524150271,1.6902333361506707,1.8219920276292114,1.0595029767756359,2.176067638731321,2.040857054923909,1.0300825634604556,1.9062236427520511,1.1820880591824523,0.8572107848614245,1.889197862584491,1.2365328980907877,1.9452716845759614,1.457179103432867,1.2596392475128568,1.0369247612865684,0.9209746727757304,0.9782309177239846,1.010993823645488,0.9885088877991351,0.8713427988623288,0.8619398677511828,1.0413673909270327,0.9700819622860353,0.9964948498640445,0.9881436353412468,1.1507066085591948,1.56986785827546,1.2186663211024726,1.168891859870674,1.0297583019243284,1.3989570055846345,0.981419835620373,1.0318749671218281,0.9733192542126431,0.9934815356779987,0.9986388178916645,1.0062658302169711,1.270503294771673,1.0347288016259732,0.8568457663843249,0.8717774305148044,0.8621675784881699,0.9845288670743155,0.9028620117978268,1.0240623188701072,1.0248242672664216,1.186608838887434,1.1052488940257887,1.1029759737809952,0.9984084072974274,1.1091227188048571,1.073318004896666,0.9998117400684723,0.9854399426204918,1.1376243331130467,0.9962664090683396,1.0683036204887606,0.980233436230081,1.0173775759145982,1.0790292840831262,1.0659765592203656,1.3426081247712165,1.108489526739267,1.114271440260725,1.0792010961797773,0.8943670933292478,0.770230446635364,0.672411863899566,0.6520645315595021,0.6957322259394763,0.5899977381416829,0.6358036861267555,0.6363562166451884,0.6991600633590972,0.7561300614429426,0.6698424863757069,0.6341698126076818,0.5493659397175914,0.5531813129297535,0.5625726599415399,0.6101171572499967,0.7963582096502648,0.7273547804654201,0.8289616802822097,0.9371819305104131,0.8504936598085108,0.9234994831034933,0.8832600377642679,0.9938948152565061,0.8840495311971837,0.8642570914587905,1.050327733410225,0.8494278984206679,0.7736576919077767,0.6471054151160461,0.675439247545686,0.6622769170269666,0.6715843687227911,0.6284365307473165,0.6520869830839964,0.70382588620169,0.661236651225205,0.7306474549240871,0.7289183658158879,0.7646938748871758,0.8227611735324194,0.8395089485352565,1.2940568017750413,1.4172529482532008,1.1072392446201278,0.9712345677960557,0.8691588390106304,0.903763877049504,0.8343173576186216,0.8435763460718219,0.764580649015437,0.7628023975505077,0.6873950782378841,0.7230270321006211,0.9599976409181171,0.7235656037250775,0.8881918115246731,1.075943742401759,1.299046182685004,1.2240043516427639,0.99380544344898,0.8300640107088054,0.8248323139291476,0.7902239371468461,0.7818285764438109,0.8711040103719907,0.8832699806430313,1.0887281537104938,0.8803907616079905,1.0130561198385295,0.9049457162006747,0.8816810084053248,0.8794907790978523,0.8488855720457825,0.8004857299560632,0.7724753551858567,0.7663346155833047,0.9495546719611776,1.3386441418908048,0.9833585349582643,1.4179022827017813,1.1494728302758592,1.0798065152800762,1.1973935270725018,1.0853999019619285,0.944954189462074,1.1550871355379455,0.9541043316665441,0.9614323445614738,0.9931528412468084,1.2852700124049754,1.4668101058478538,1.0974735591332196,1.0916865049279532,1.5000044418097116,1.3974032331536754,0.9787470224392166,1.2002606015407558,1.7159155705872073,1.1948663259918206,1.1649462271347069,1.4716788060127026,1.4740341691615308,1.2236301381954549,1.3473740414117796,1.2828814302571216,1.5428378186573346,1.2812348469929475,1.2924664960803396,1.568746546526119,1.678128771086686,2.1694935703762064,2.0612483392993046,2.6191345013564264,2.0192954656052935,2.180111091668632,2.168731492665297,2.089808688167802,1.889979813578979,1.6117157291802942,1.7601411711220283,1.6178336322794256,1.4920196927948706,1.3295007162744392,1.4413301796383713,1.2089373148516576,1.1347533798491647,1.0163787705294078,1.0323299237655592,1.347163783584025,1.6236298492657049,1.8869333010265004,2.2392585638773204,2.5081244404939533,2.5418645073803914,2.140446342057434,2.4187931557527875,2.6559085872731067,2.211591606385812,2.151548570073673,2.6346972591149984,2.6556563538428306,2.166482448064268,2.4462399474197167,2.7673141568125197,2.4316887241885854,2.175863691147062,2.4964895923627495,2.13489277538956,2.286268506766757,2.154268556230579,2.1540053333678078,2.0526520710234633,1.6582560627192837,1.731128031396406,1.6362920982052513,1.4572681769317395,1.257352696463928,1.4229447437936407,1.363474589530698,1.1206037648288345,1.1421398964539806,1.209968605598331,1.3816304306144696,1.222574645054715,1.2209935484952315,1.4803094379400925,1.5266309850548463,1.6878230837640429,1.3872691601614826,1.1130349543103322,1.0205142117716843,1.3685196130947563,1.2095581798681574,1.2844841710031658,1.2007037457912448,0.9731619066868431,0.8441965170839321,0.8697070015860596,0.9935814734206124,0.8285837360080932,0.9861212930041635,1.0290549861553346,1.0213237314346844,0.9432333222615333,1.0790023768619195,0.9908468643340927,0.8015143790429464,0.9009809608669874,0.9209923338113383,1.8215296478872072,2.7556618267364943,4.052010206862544,5.18409295961579],[1.7116100427726497,0.9907821569831643,0.9231449001497243,0.7602768867186063,0.7238668408401772,0.6938811921577369,0.5968620330037303,0.5966277593020323,0.5239500648996912,0.4769199195776391,0.5093482634836082,0.6092387262524006,0.5293449843144529,0.48923088354737415,0.7201462388449323,0.6318329971158696,0.5642825020554436,0.6529057231393911,0.6670002324380202,0.6651335411971732,0.6588634740485835,0.6467547615773576,0.7297504533111435,0.8131664501461854,0.7397159422268125,0.6518263748890836,0.5953618505077045,0.5902872239908616,0.6235707056053974,0.6365273249394635,0.7226388237158665,0.7116682106052721,0.8218684326302319,0.767076943001534,0.702761044892821,0.6565047383304046,0.6882876690969909,0.6331639708745721,0.5948584348491583,0.6406419437960806,0.6118818008752327,0.6611422813539225,0.6598340774106086,0.9361036399944684,1.1645139780601859,1.7014273870869052,1.798426456669178,1.1199463123139202,2.3297211790518557,2.1978523920736834,1.045466007102379,2.0653664715897557,1.0211714167075854,0.7476479320375701,1.6527136028121732,1.1224066580276029,1.883169766710508,1.4493620134908913,1.0680881808169973,0.934724659568968,0.8151084687992496,0.8295827350052344,0.8038100183320147,0.7870257495062889,0.6663855699388085,0.6766419913925945,0.9008197257520464,0.7526351943697129,0.8400067381068437,0.7762620580210952,0.9819259710018685,1.3746115821377634,0.9876997758857291,0.9845340649747975,0.7950094853954631,1.2495824909780022,0.728264057110225,0.7561744876322725,0.7227015058390809,0.7571672397600657,0.7998278632176405,0.8432912878554825,1.2125246574984503,0.8424610902052434,0.7517770924992151,0.7250781478214708,0.6691931424432602,0.7555415596395135,0.6524985599389272,0.7830750544434546,0.7330066033268902,0.9345896928301761,0.814813821119621,0.8215282472142205,0.761857038829461,0.8632577978947928,0.8828585433554242,0.7686027100880297,0.7288852732932428,0.9500395536628549,0.7672570153217493,0.8723731442718973,0.7571460732994498,0.8535611382196933,1.1576554202684093,0.8464807087694424,1.1335147403606758,0.8724498974070249,0.9131638380752377,0.9126840285769422,0.7207291833779935,0.6651714450073943,0.597477932561622,0.6041329869948794,0.5508048595325232,0.5576386188776682,0.564400642383854,0.5739214513634255,0.5316429343796178,0.6273741216370714,0.5142871282868766,0.4940441807428792,0.5473323145911252,0.5389767517510334,0.5469584880245183,0.6147499081895313,0.7778578596690439,0.68180421273337,0.7527231724566601,0.8401666845444298,0.7835335619255321,0.8405541029116907,0.8097826159538695,0.8641386142831092,0.8080535942943465,0.8080332798409035,0.9962656167807078,0.8586800812721573,0.8328308986297255,0.6640516717344214,0.6566978062942913,0.6862034864241684,0.6690693463964608,0.5964761672353319,0.5645727202191866,0.5804524876373637,0.6216928407739509,0.6301332931463377,0.6186856399404921,0.640986684140102,0.6851070620062272,0.7262619104435515,1.2948881127177787,1.519412684447255,1.0102238533667363,0.823203913873628,0.7098015075015296,0.772682424153935,0.6732777253203727,0.7364770668052562,0.6509153729171542,0.6125342785948977,0.6035752101258578,0.5963416802363376,0.8037004384409738,0.6892296303904477,0.8363479100480213,1.0853778468400919,1.318359129366716,1.2520851134919557,0.9889722707754548,0.8255559099443973,0.7240589432553817,0.7171521753370396,0.6797877995576777,0.767439895578948,0.6898105188482989,0.9311234784275056,0.7212546741061266,0.8298250816777264,0.8749799421320696,0.7640972135735227,0.7897342837719094,0.7774728769351616,0.7493701553977361,0.7026343986457051,0.7049367361128335,0.8986628279184633,1.448905871395931,1.0864752456313296,1.3497940710295229,1.1197979495959205,1.0659737836599468,1.1904887740193018,1.027248516532814,0.8543095763766941,1.0092772197084827,0.8558024527256862,0.8841990337684283,0.9001251217286306,1.1496397597210208,1.3148028307712196,0.985824580842033,0.9992602585031543,1.3619178916896337,1.3048279823885607,0.9276385061799249,1.1091872841887345,1.595409963912398,1.1467128929065868,1.0902872465889593,1.3787168547573863,1.4460131127613776,1.111722213406341,1.2099761170831098,1.147606770734544,1.4377888318938408,1.1663170755734273,1.1798937731107562,1.421625007026504,1.4980112498659204,2.0225238746927157,1.7951258148999125,2.3382163142443604,1.7906529489033458,1.9247353211433569,1.9179758939110918,1.8377573743226785,1.6563775128307223,1.4038169448678877,1.529486903471413,1.3965036359326686,1.303969249312812,1.1404103541932749,1.263515297254514,1.1280687199104567,1.0706436859490898,0.9917601137312562,0.9319351879621028,1.168914244235122,1.4109269394444273,1.6700965489783577,1.99973146980147,2.2459699979215366,2.2950399181712173,1.936802258270879,2.163838417463721,2.3764720253569585,2.0274899351838567,1.976564050950522,2.4193564108469188,2.4754875959658884,2.042342449014296,2.269532315695399,2.585269725960841,2.3317107512341364,2.0593236820258296,2.3194428546094685,1.9710031319338879,2.0761662891919945,1.9476338291135737,1.9169392762782504,1.8440626495564552,1.5117830091133813,1.5409002588815932,1.4525084905941232,1.3141843864013896,1.1322949408006615,1.2605633104742673,1.2868180328766963,1.0687950504543304,1.0763080267854714,1.133820571162851,1.3233333809784726,1.1830320504636886,1.191702336306716,1.4165225683994773,1.4818186107219913,1.6154155191393895,1.3309262514881535,1.0721707215305625,0.9645033284269263,1.304271373451176,1.1735039680283268,1.2695443080488718,1.2051875415053632,0.9346659399515657,0.8633285394190628,0.8307167689422268,0.9963468576077473,0.7994975057671435,0.840765374766543,0.865946065996782,0.8435223345054705,0.8225924790440964,0.9467850336581359,0.8438169621646786,0.7173496218211236,0.9008639338926457,0.8485657731863185,1.8632294128242506,2.573896176589939,3.999585030774071,5.075087724417046],[1.527674073833434,0.7480578879932932,0.7534051709658454,0.5252698228146117,0.5102500047884356,0.5114239544327253,0.4202722635446845,0.49260923801371975,0.40476041248548883,0.37155340261505737,0.4645359973559338,0.5875833901664005,0.4753744507842404,0.42672286453496105,0.6874132095932656,0.5999499862475937,0.521142649018442,0.6098883251337309,0.620974199457745,0.6130675372494044,0.604982049655474,0.6003704292862319,0.6952496978539052,0.7610064075552767,0.6790428443226829,0.5857729382611576,0.5226658159854908,0.5141329196324956,0.5736553981936688,0.602929916483674,0.7018387997328068,0.681510938307924,0.8010453612226665,0.7498002160175237,0.6800293879400258,0.6264276282937045,0.6557599612754941,0.5874808691530561,0.526031015767798,0.5774607553220888,0.5344851491562999,0.6175750158786635,0.6291358328235942,0.8428535209801326,1.1327978765350812,1.613914547386979,1.736169151408677,1.026049851698365,2.2071638585486704,2.0538153173114737,0.9510375719600909,1.9738006385399802,1.0257976099264257,0.6919713468735008,1.662351398050566,1.1189838877321607,1.880163314263724,1.3983520252862187,1.039700436631329,0.8797627491292553,0.7652309892680595,0.8005834388992189,0.7818012104911305,0.7670662144901742,0.6343172084461637,0.6473184877490975,0.8689290364015226,0.7283673306945901,0.8214840275533785,0.7667734486777902,0.9783023163030321,1.3717199117699101,0.9751513759983886,0.9553779742644024,0.7816445528447165,1.2203006909711882,0.711240087514638,0.7399612357812041,0.7057846512338556,0.7394409171022477,0.7719152321892093,0.8073764898305177,1.1789414097199686,0.7906755000066991,0.6962843077198146,0.675626375515959,0.6294536710564157,0.7306765062667048,0.6310889026745473,0.7637654422162987,0.717285891262747,0.9174753655903458,0.7932898224697662,0.8055231789277421,0.7486203252779742,0.8528202757784482,0.8765341843124391,0.7552686903236683,0.7064828986098901,0.9309622947034596,0.7348809432289234,0.8255558274259562,0.7038527636548944,0.7889253588997716,1.0615134217146946,0.7708668015344726,1.0589894205903676,0.7860456255185695,0.8256301091261578,0.822055623204428,0.6159025788558244,0.5344109556358008,0.4535035260180231,0.45916080908726165,0.44899563392320013,0.4082553608717975,0.4452767636285363,0.4688204058602195,0.4766947703712415,0.5796036467514044,0.47037626808707717,0.42143433419500703,0.4048929918901807,0.39446796347820995,0.3893838920353877,0.4272611265848263,0.6034278786452582,0.5173288339996926,0.5827856137325224,0.7051068194409302,0.6081260996489295,0.6835862592115194,0.6362014165386011,0.7635382300601765,0.6517535061722473,0.6539470369998309,0.8398033570927234,0.6925669551857989,0.675743079032172,0.520169758198975,0.5579225598355813,0.548513837053867,0.5566474936806807,0.4710402858695761,0.4611190834591288,0.4931897035848774,0.5013430318763449,0.5204399999490932,0.5117814420532905,0.5491382168819561,0.6014251881586453,0.6519514091935265,1.2655741124440838,1.5433269893342485,1.0031648436146017,0.7776683708121337,0.6548108666670901,0.7053457855275407,0.6056291562453447,0.6645299892706706,0.5351411629048338,0.522517623227618,0.4764263356010428,0.49067427664309277,0.7175440478981805,0.5515371209381803,0.6967411656385554,0.9341899836769056,1.1575061945637901,1.122505445344469,0.8340875875335537,0.6520812609479981,0.5875957381490282,0.594295159658955,0.5857706461995743,0.6833194035251345,0.6321354960246318,0.8970918534923883,0.6535922061954555,0.7797141397890298,0.7648982400218202,0.6629929959890577,0.6690092278822675,0.6485213204964083,0.6199947839123895,0.5982825544808168,0.6188278225274064,0.8037173983436486,1.3314956841768597,0.9354928746409363,1.2700013448246692,1.0579687693049191,0.9318354212689608,1.0426929506005531,0.8698489085717933,0.710382765625599,0.919073848951137,0.6713052198651693,0.6812800322717134,0.7253235515822914,0.9809160803115029,1.1804236024026025,0.8276546950575958,0.8048279717495115,1.2060023521915513,1.1607066062702145,0.7292155172139155,0.9215725792920983,1.4525770495765382,0.9763889711472232,0.9128792785024555,1.2094455408579647,1.2869182068022242,1.0072370784378246,1.0652081244048734,0.9906483944044271,1.2778578032388275,0.9739342315179625,0.992200569718051,1.2376201182518387,1.3012970880631882,1.9283095553027103,1.59447775591856,2.198953052117842,1.6282786795840074,1.7681497476293937,1.776734619238883,1.6909800451771981,1.4928060661637326,1.2367435405506733,1.388938141208388,1.2328144396078204,1.1384913078992813,0.9739647457996526,1.1487425344011823,0.9157170306465701,0.8839123274410332,0.8420387036456145,0.736945823578206,1.0251068255257045,1.2765617007751737,1.5426172042457778,1.890438862842969,2.138633699562688,2.2073924083702074,1.8185909291870528,2.0427904625637665,2.277710111438965,1.9391083383371546,1.8635915987976694,2.313643516768187,2.3823216947304817,1.9215867053922941,2.135245490046567,2.4523490781533823,2.2130607344236988,1.9058502724570048,2.1486325648847058,1.8014018234403208,1.9202199114653058,1.8101438825022818,1.76626447095493,1.6723013964624291,1.344008339268915,1.381388399696242,1.2725358149521717,1.125287332285219,0.9372443957405492,1.0605982165768064,1.0709934891924269,0.8404947836745645,0.8517443227654509,0.9064446551560226,1.0908551850154447,0.9494355694413371,0.9930617046583982,1.2098568803588017,1.3404522011153333,1.4443000459598165,1.2012912400006954,0.8921185084043287,0.8046753151640608,1.2370839538693266,1.0610867087180786,1.1456516084509607,1.0659877554275026,0.7430283095720823,0.6762033033197316,0.6441543651516616,0.8142693917627718,0.6242021565600137,0.7224800014550009,0.7641496333697839,0.7589718078040739,0.6998887475620248,0.8423310251199607,0.762614918804503,0.5941176681411912,0.8615214185132523,0.9020333007812066,1.8328020078639489,2.5584309424213445,3.9745773729505576,4.94997218050756],[1.4630671620746425,0.6914131173545066,0.6581019326490609,0.45423858079842205,0.4410323333781913,0.4057945189372018,0.34524646245975416,0.4284344288431488,0.3482458636721948,0.30450989218577523,0.3971542256126056,0.5173730433700899,0.3900700499313512,0.35000294646918767,0.5806574149008383,0.5096570900131487,0.4462381828988453,0.5142203444526768,0.5325800270620722,0.5247994108787619,0.5224494716380916,0.5279631185357617,0.6271018004068352,0.708234271501029,0.6302675396916173,0.5075320055064354,0.44049690877702957,0.41642097698831787,0.4785068590357622,0.5054381436969501,0.5952011874981362,0.5793720003488323,0.7068588629446096,0.6314558606218348,0.5731148232051799,0.5185880551954045,0.5492159361475175,0.4829442069433266,0.43539751849470587,0.47063806257583046,0.43247107662787754,0.5236350566987636,0.5403408249489055,0.754505846400329,1.101007995333508,1.604703268622631,1.7534120664044548,0.9506868460091323,2.2157716312799,2.0746592741003056,0.906946908148875,1.97816647857331,0.9636942898904476,0.5888789876858739,1.6337762276090044,1.0428835924157345,1.66392893710137,1.41813317803007,0.9641146095713833,0.8122860012906835,0.6868983793170031,0.6828587533884358,0.6622131014555925,0.665571796682156,0.5374543609081897,0.5390165970122078,0.7865300699031258,0.6262665211698192,0.7388919251782788,0.6635477217851893,0.8972045905230427,1.289550287669749,0.8839418274616779,0.8818750328831453,0.6834506593189569,1.1578364136978203,0.6031252170511883,0.6133374815889275,0.578965295640633,0.620128981130579,0.6440052434566251,0.6868318217392397,1.0949321550515523,0.6535885916360014,0.6325504918589044,0.5648780317468761,0.5227835823108078,0.6162035723716726,0.5232639099757499,0.6665018174209467,0.611264816086088,0.8311417672058233,0.6784859932112631,0.6855181462859541,0.6370162318762048,0.7312151504415304,0.753511102786346,0.653355746160599,0.6185432532764356,0.8784274955848262,0.6401827800054226,0.7303645990240492,0.5820192724212879,0.6828244134691807,0.8755458274549018,0.6694187435098535,0.8882299284084101,0.6517452913393321,0.7099205525590668,0.6972959147877678,0.49784466113514386,0.4182428643899307,0.3699536317608988,0.36974682391181174,0.3928497841327605,0.3362349749834522,0.36682553790282046,0.4275696572324153,0.45703235536104164,0.5102156513870484,0.43767292828196086,0.38663772677444297,0.3543067988626999,0.3247674377589545,0.30625918188487483,0.3520015328461288,0.49600761944977567,0.4241455082284463,0.45791514019952567,0.5900460444921497,0.48167507683588684,0.5526568313945193,0.5129893377820236,0.6544968117840589,0.5523794082681085,0.593111707023618,0.7694080277537559,0.6355144325496945,0.6305386993963447,0.4700801721216242,0.510554571885872,0.5347140379184614,0.5036906788723066,0.39138118297479657,0.37078781411344763,0.4115821146741949,0.4047710146414094,0.4349532476034559,0.4078282022014685,0.4544967967270529,0.512891791138819,0.5870551079882473,1.2389162783933367,1.5840184242746957,1.0403547264284494,0.6902755648204552,0.5637897415439023,0.6012570197128045,0.5021746828860862,0.5703675660207554,0.44766293693817566,0.43206215460128505,0.4117651311443906,0.4164075566327513,0.6602585609532194,0.5135969625363902,0.6560256152766138,0.9392454599618821,1.1440205471036085,1.1107589255677242,0.7835299072296886,0.5971863344142321,0.5239326303712258,0.4951582822167406,0.4718578841030672,0.5564625916971888,0.5333763604494484,0.8022508842466967,0.5300768807896327,0.6797237931086987,0.6763613729082392,0.5448068042736482,0.5350227834545733,0.5233279888774692,0.5287814165314395,0.5128303987048277,0.5286588741333057,0.7212172900443035,1.3178513528814835,0.9081493757052707,1.232310054710144,1.0694216490727988,0.9005066159989426,0.9946959999437942,0.7479068188309941,0.6461186621485274,0.8087140292002534,0.5171073616759809,0.5344869163886817,0.5713221974218367,0.758644322810471,0.9673583968953453,0.6637802730023236,0.6336624717173125,0.9945961858250744,1.0157403619421999,0.6211233553232467,0.7552735120753248,1.284909047220388,0.8930642673332803,0.7965817901418227,1.085804953689645,1.2425490355705222,0.8835141784163465,0.9501140821551589,0.8934957771689038,1.1588832072156494,0.8625027660381493,0.8267291425607362,1.045183109448756,1.0636759960374,1.718607692485958,1.3156738048580419,1.934025646549539,1.3307686084456827,1.4397307287289096,1.463425043539791,1.3377972216210983,1.185161953932439,0.9543139243283821,1.0834673937401065,0.9416240986942883,0.9293553055766589,0.7212980519496434,0.9023100674272468,0.8379565156007198,0.8291610030518646,0.8238775832588732,0.5883914549175726,0.7942317451080371,0.9951998293068742,1.2464130910636646,1.594330520162399,1.8165374643250967,1.91529024880347,1.5487431047668128,1.7489512987402722,1.9822792823171385,1.708558162043251,1.638384413034783,2.0592966487261855,2.162928456650949,1.7514439104649773,1.901862868594562,2.221542284760108,2.08052014679724,1.7366831256906874,1.918528030371499,1.5740602665737975,1.6480150417009751,1.5466374744816591,1.4611427940600206,1.3870875613042457,1.116369196403182,1.1163683825438881,1.0100053947350773,0.9033935862170976,0.7352881889309356,0.807221744184761,0.9119029703079862,0.7316061812700363,0.7397858993205368,0.7705770949447563,1.048566908905766,0.9209393562910936,0.9803684977229133,1.2190893861618628,1.3864269796029305,1.412249390130234,1.1902325739218778,0.8177100221520054,0.7114699394070358,1.203159046837595,1.0540880549057252,1.1967934914129612,1.087254339683003,0.6873865847321229,0.6282945990838524,0.5399964295261698,0.7378928200535858,0.5509423959640789,0.5675381055182376,0.6148281727209034,0.6652850046382845,0.552320489832144,0.6595321748428724,0.6220902766719159,0.4787769114533971,0.8424738447254686,0.9039606159420601,1.6528820995501263,2.121919526383041,3.4587802017668614,4.4488822234651435],[1.3575289300090407,0.6636226646765437,0.6236075762905399,0.483513745238523,0.42819797874942006,0.4306247774148522,0.34434131923802624,0.403484527776187,0.31927385339890746,0.27874893880852974,0.37338717834303,0.4759194310466073,0.36023825995648,0.3325487089520965,0.5337453252291613,0.45141897420125116,0.4383034218729863,0.4943943574549169,0.5303475460077938,0.5027974341602567,0.5097115327225967,0.5082307876685137,0.6172864451625861,0.7040828558148129,0.6274937948089064,0.5155057708832054,0.4363935116932091,0.40713094505951014,0.4454188360307673,0.4600748901676356,0.553133517239292,0.5056055775502928,0.6350520135482235,0.557335810254878,0.49931792005103,0.4731424216703989,0.48212303771441234,0.4420331779816638,0.40351759844993956,0.4273295537920259,0.42376351772370535,0.5166547513035183,0.5307150799439345,0.7436769954828271,1.102377527671087,1.5974759289385505,1.7410285171879323,0.9392713488028468,2.1871503714262026,2.0233980787697385,0.8684747498715959,1.9736323611832418,0.9497506090609484,0.5682692192570923,1.632806335875009,1.0084527415211286,1.5829031274856278,1.4436516921738423,0.9204033565495464,0.7963048043357448,0.6572704783080533,0.6481880805381837,0.6197378555694394,0.6283282555836215,0.5102246311523307,0.5019679347038419,0.760442489552455,0.6036442224249398,0.7338341662788894,0.6592460711254755,0.896253010681447,1.2732978584512504,0.8751640931309248,0.8688545865128746,0.652254726813447,1.1411709137628616,0.5552245660681473,0.5547077737016909,0.5201069552550484,0.5639448648952088,0.5669936796141365,0.6356094225915794,1.0730801562911245,0.6132824434864077,0.5897776202117837,0.5046226762261332,0.4679603404113902,0.5530761125865576,0.47365684603550384,0.6019337060936113,0.5604012159485945,0.7840607806977861,0.6332906106236704,0.6163778927554959,0.5781216064459894,0.6874948399105486,0.7082943413327167,0.5881018193424269,0.552565943014432,0.8146551087386344,0.5667209048874828,0.6604728932491245,0.5021513051753735,0.6263641004155802,0.8029487224824914,0.6527678362409408,0.882706785224789,0.6669417936459009,0.7073100679197791,0.7199814074638113,0.5205334215269729,0.4021855915339303,0.3422880927445784,0.348207119617865,0.3999100138668075,0.3402252047780217,0.3715907208297712,0.42776553617728835,0.4579230154408782,0.5191520542970492,0.4516075081132643,0.3831577280434951,0.3629770925545477,0.34535890881358067,0.3022123774119849,0.3413152439808031,0.5104143876661018,0.39424109712642075,0.444069508539159,0.5965112076988945,0.4722684089177406,0.5326850960161932,0.5050265528107226,0.666883757869317,0.5492338490658972,0.5819887544798477,0.7704022390351409,0.6277063019772453,0.6317876376511165,0.47273804569979655,0.5250407083237824,0.5338346403675053,0.49642998933080634,0.38210143519146667,0.36833030327066096,0.3895491978129876,0.383243736464153,0.4135073237095918,0.36863507762948333,0.42539620589992816,0.4797278568064132,0.5448701034825094,1.178323139671257,1.6646841285313998,1.100173106189284,0.6241071862812406,0.49249676838960604,0.5404735007862799,0.43594696974298724,0.5140779075991477,0.42113708052032733,0.3849705997509751,0.39240215822445246,0.38129316192142243,0.6302844140175043,0.5137370503885045,0.6451814999947921,0.9071148950319964,1.1118849348092708,1.091812517006332,0.7666622526782458,0.5913660271568313,0.5141640040541621,0.47296160198782694,0.4301475608914791,0.49478974032041706,0.4695187142301724,0.7329039123769959,0.47571531384159244,0.6301415396733864,0.6728535881338796,0.521920014735323,0.5201694429642708,0.500846132934027,0.509154446814995,0.495751068272935,0.507973037989975,0.7317813508322316,1.3039316141906856,0.8724353738246802,1.2660212972861895,1.0721952917713173,0.9299799287847749,1.0059770748063126,0.740336898630237,0.639378641750771,0.791774564862059,0.5047619187235379,0.5184574866471884,0.5722378930708422,0.7645412711902708,0.9844917280698954,0.6876883266496487,0.6475791637273265,1.0220185385460892,1.0690069160035964,0.636327609984549,0.7911606278825577,1.315061478065506,0.954761682507454,0.8291363449537111,1.1242998473227335,1.3074407220411142,0.9238116367271925,0.9754266999850079,0.900363204012935,1.160711875729485,0.8204722633597086,0.8313723577439716,1.0473773565009268,1.043033182113945,1.6822252284713233,1.2652668018410582,1.9075973349026571,1.3131560959141426,1.4094896247934185,1.433033011514795,1.310911519601453,1.1476233904791868,0.9472095524288934,1.0728903187144634,0.929803344089785,0.9157472696872859,0.7192028799630468,0.9324870545238091,0.7873738884078638,0.790695622145976,0.8143687690486816,0.5696042921007619,0.786593846891234,0.983310758874703,1.244031788204479,1.5704381671265835,1.780304006264369,1.8833446838433483,1.5232711841217152,1.708164232175932,1.9393071911638289,1.6989676090300079,1.6440861885049132,2.0346462485004677,2.146141768650028,1.7653697598716007,1.8838803650507792,2.184688456639883,2.0920452455863146,1.732187448117843,1.8794659401263185,1.5601187335478488,1.6222220825717903,1.5355357318059597,1.440122569048566,1.3677589679867432,1.1269232195809278,1.115484240594238,1.0017134353256936,0.9051549461915376,0.7344537622494295,0.797246641834809,0.8732212911828241,0.6954063901347429,0.7059357131917875,0.717679804467759,0.9803916363185415,0.8526110252233817,0.9042748195125387,1.1138799782760453,1.3141620936110718,1.3001395882284266,1.1239088426999844,0.8010106188355014,0.6626767744939985,1.1456373015379717,0.9681059824579183,1.1073794003729918,1.0162598266642584,0.6627124050515447,0.5988943356773005,0.5255886897231079,0.736218168448619,0.5040207816285915,0.5955956208709434,0.6320898455439015,0.6941193200862971,0.5981245033862617,0.6831645951935429,0.6564201659693515,0.5148600416245892,0.8145298064761969,0.9640009527343804,1.6387060436490137,1.9397392130382756,3.079820778037099,4.047027550733313],[1.2737973181679847,0.6795956634731878,0.5984284539715881,0.4881763580926069,0.44781609059118777,0.4261575395082544,0.3559674067098794,0.3802439652326476,0.32766095722099287,0.28183149195584517,0.33057737594674047,0.43887106103637635,0.3225256541661939,0.33015957679725755,0.5148680368257824,0.44209905989830683,0.42257291802042585,0.508377825006014,0.5651969931024047,0.538236932564781,0.5737055392007141,0.5587272299927866,0.6788394753917896,0.8081741668918666,0.6307607282897394,0.5633245699069389,0.46378079051163723,0.42450683415497437,0.45413140928145024,0.44882069389665236,0.5568042875365349,0.49379053485453084,0.6504641419802215,0.560856951776025,0.5009961361882892,0.47090888581277757,0.4572900458439172,0.44821566334531027,0.39492015008569176,0.41914300417157396,0.4290182059924062,0.5307071355929134,0.543361226632824,0.726993882093553,1.0900119590998831,1.5903623931496522,1.6915983729166029,0.9219218227391686,2.075382251038519,1.8340127614205342,0.806024114545212,1.9989520023188576,1.0082105650702473,0.5508843018025054,1.593181297494446,1.0620965522647843,1.5511959170925742,1.5155043566243334,0.9084691940897937,0.7881716023370217,0.6790186920680681,0.6554449315766955,0.654146969152051,0.6853882729854185,0.5550146048199934,0.5327545707693586,0.8047300367827759,0.6354936118757056,0.7888524721521696,0.6828060024773711,0.9116550007652261,1.3004788800830882,0.8946048104148272,0.9194590830305659,0.6606640200299734,1.1914053028735583,0.5749653019987268,0.5715248623546445,0.5370926746439993,0.5637404361477253,0.5609753530776932,0.6220419000216497,1.04675204250541,0.5529260425914357,0.6134639266031251,0.4817795933629232,0.46233177246779994,0.5294349775614116,0.4857684236968822,0.6127585647530712,0.5780276366440137,0.8109642756595216,0.6631189908643415,0.6273710486816673,0.5798937092211417,0.6909908046669362,0.6980061085827325,0.567449513445828,0.5122176026298078,0.8118404025784336,0.5346273815693778,0.6178577368860084,0.46720712145165966,0.560673959850029,0.7605734561753833,0.5902711921439304,0.7938405544621088,0.6162650250083391,0.6561809379415628,0.6748386021754235,0.4896811679996682,0.3837154705510618,0.33197500244159917,0.3602168509636505,0.4005697986912886,0.35481135747941195,0.3883152908588385,0.4353685769387548,0.5397643735809123,0.5424179294879222,0.47393676549833,0.4043831637609136,0.36482243208790216,0.35289088047753464,0.32999988207240527,0.3659547886125003,0.5274004583139761,0.3876813042454719,0.41164060528473934,0.5501700404682288,0.4393399369282648,0.4969771391289797,0.4711750176022732,0.6241410872543371,0.5201330458530421,0.5579787695128364,0.7464033229737085,0.5970680528241523,0.6184321587965554,0.499771632207064,0.5009949338004863,0.5738583346341363,0.5276996467707724,0.402563549786979,0.3757262724741419,0.3871480339822223,0.3731799240715379,0.3756735393676844,0.3563335509683608,0.4103570765389727,0.4553084914506234,0.537943092014125,1.1758456252176193,1.814108939143002,1.1884311747400873,0.6148160928698356,0.462549127110891,0.5014743888118534,0.4117271578578748,0.4791712766253075,0.3949241452075728,0.3641689603285243,0.39058940548335064,0.37228079380048384,0.6072625866944363,0.5493048982665212,0.6359850908780573,0.8914129908405063,1.0717542297259754,1.0853038033833495,0.7467289635516453,0.5764886716438491,0.4884188658145119,0.4290957174441421,0.39286847141604464,0.44266991873550504,0.4291060296055174,0.6932771497132034,0.4346897531483169,0.560527970412788,0.6274217463883908,0.46552127508494784,0.4607041422045451,0.45278441117323354,0.48316162226447873,0.4887520172405042,0.501958580599769,0.7098116312707844,1.303224711555887,0.8543768951231989,1.294362674197981,1.1629890757321983,0.9680770318586867,1.0101386840824136,0.7114030784660111,0.6804137544287805,0.7972792362404881,0.4748306114220608,0.5115696579946605,0.5312863114354389,0.6898969164161957,0.9041636774502295,0.635924255599787,0.6113234558846838,0.9548342953729516,1.02098140640282,0.6410642213779801,0.7644030261748309,1.2535765665581944,0.9513721710214755,0.836784444425825,1.1151985842432037,1.29944360682504,0.9519654968979853,1.0055396558755951,0.9131904179821394,1.1629670286806055,0.7897067480053885,0.8066758241072222,1.0198888056193691,0.9908786266316459,1.6558632827177482,1.1905741609777853,1.8215656235803481,1.2242657924234106,1.308371867288981,1.3287927010449925,1.2056422160852165,1.048669260434682,0.8640141897557254,0.9584458784736319,0.8334452032414853,0.8474112441206029,0.6362615605605312,0.9063637785668591,0.7936090538565779,0.7952285421471693,0.8592919096345923,0.543969900970882,0.7063675281142731,0.8841635527010874,1.1398281137633186,1.4696724133394858,1.6818514192605054,1.7839809676559528,1.4153350213679028,1.5939017368690782,1.8239923318996105,1.5996765426033015,1.5461774332914169,1.9216193407992954,2.030130972328451,1.67273501806149,1.7874988844478676,2.080555562705509,2.0036043779519384,1.6659810899299698,1.8018674742741352,1.4896818224049433,1.5312231496341642,1.4391255584245672,1.3406794495542191,1.2867110976673133,1.0630293144255698,1.032262839100256,0.9273709033271013,0.8477783426991577,0.6820231975712526,0.7300305496727973,0.8291358520891684,0.6752766286206412,0.693922268064046,0.6837487082995889,0.9627628857738229,0.8472644863258671,0.8818753048582827,1.0859032397401798,1.2863922429297285,1.223301209280281,1.0593695875102336,0.7683226398364007,0.6255206635440854,1.0657377186730206,0.9102015165860575,1.071353512491564,1.0129396008257134,0.6758189388474976,0.596723430995453,0.5318660825646739,0.7383949416847554,0.48904862832843093,0.5601297902813969,0.603640374612738,0.7021054022308337,0.5575549821479319,0.6466406119482462,0.6324278090281111,0.5004102414862158,0.7926544675220623,1.0210263562425972,1.6533455021207364,1.923527079922581,3.1731338863577383,4.186691717520638],[1.1188057500135564,0.654375938092054,0.5306552497443753,0.4277947140441039,0.40302745668040285,0.377460299332748,0.33010813124625615,0.35309986286869643,0.33423644862001367,0.27693282250691037,0.32446335122909914,0.4398154491883546,0.3167893727905847,0.3346680555226047,0.468714021937459,0.4256152843411032,0.42959681823784746,0.5074958646724897,0.5836407873217997,0.5459707624614725,0.6022959931211215,0.5826037730474195,0.7129824045522826,0.8509885678801724,0.6575925183821684,0.6062733267058912,0.491853967369955,0.4279803168694536,0.45066490566217937,0.44411790176655913,0.5366192825661004,0.47110646818857443,0.6312919424939584,0.5331169026177294,0.4869833244603781,0.47028192509676947,0.43911053377350856,0.4497813507826813,0.4118555921253559,0.4331288025686916,0.44580274994960445,0.5412460404663632,0.5596403669574038,0.717655118682637,1.0636311880215097,1.5735401963721438,1.6451176780589716,0.9100816332200132,2.0154903148926353,1.7496120878570218,0.7731629746797936,2.041522845367851,1.0453168502384071,0.5568401478793351,1.5705127957343967,1.0850058252797365,1.3844517390306308,1.6435320233400341,0.9036255607739658,0.8483090850216717,0.7219253770869166,0.6633885714884615,0.6569327162423617,0.718623336686303,0.5913376365355532,0.5442243321924252,0.8098974620035018,0.6395630535795075,0.8083510234292045,0.6773371094737747,0.9030032742659659,1.2889682493230945,0.8770388664721243,0.9441854978809514,0.6464599228799327,1.2005611284252262,0.5715853507929409,0.5491615041805313,0.5241102539333781,0.5482563165527438,0.5324188739917493,0.6067940901000252,1.0234668149621953,0.5163414266629132,0.6574230659995686,0.4669062334232302,0.46474352650395656,0.4929197664443013,0.4856843728274562,0.5915075135515591,0.5694673380993763,0.7890193387288453,0.6500273391263384,0.5858230264868098,0.5387402988151161,0.6513675530833682,0.6350128965710208,0.5212426942959312,0.46881719817843087,0.7846745067908107,0.5010421845730951,0.5705000445694968,0.44061514582771144,0.5296814467552731,0.6723736933246784,0.5477019539351684,0.7136533913192401,0.570990087627813,0.5828675724949715,0.6473523301853912,0.4368325361052105,0.3448690734264942,0.3109965511121085,0.3333043184798915,0.3998571793469446,0.3699124131454374,0.39833618302274987,0.44851565944619654,0.6064981920402112,0.5586415567505769,0.4863305364360684,0.4094622952995343,0.38414490979527705,0.3497742153364624,0.3088250888603518,0.3312480125065461,0.47310151114283283,0.35567829330570894,0.3557654584908335,0.5035192150678941,0.3819543313348234,0.43857520738409017,0.4169481681390493,0.5669653427238117,0.46577987832282425,0.5148666871332623,0.6778238888441525,0.5645659286819353,0.6068567123346446,0.51086214025588,0.49481733136785117,0.6404126995499014,0.5673370264847111,0.41304856466213097,0.3849098409516818,0.3961007424790288,0.35908344347671733,0.3689635386178231,0.3479476646283612,0.3828764018547963,0.42595014461004693,0.544036378775374,1.140891219637961,1.86107085156376,1.2778350397155878,0.6039836659114087,0.44821592513516856,0.47432239984196906,0.399143111155047,0.43814225638381904,0.3768756749012921,0.35273760071709187,0.38333989742673136,0.3740330395911659,0.573989424831924,0.5632498735431177,0.6122978332886296,0.8682568178307507,1.0219376277424925,1.0422907306109572,0.6947257901103425,0.5388277373198511,0.45976457529883746,0.39445688279300806,0.3642438721477013,0.41844161030415744,0.4176084638234309,0.641053765717062,0.4072335948951996,0.509793521033543,0.6146320938962327,0.419351356774901,0.40773244480592913,0.41534705097365293,0.4533310347352153,0.49052920524846927,0.5141257015762838,0.7108360087973696,1.3210156039696646,0.8703188667189463,1.3168493295297368,1.24058437314974,0.9919119903191618,0.9826657713646806,0.6697210078292197,0.7361654989045555,0.7371126663326009,0.42872844976821584,0.48316012703735506,0.491987330262943,0.5805414139606745,0.7948780002813999,0.5695700387010149,0.5407580155517188,0.8536883630680093,0.9628893670771265,0.6078421978888126,0.7111400878275143,1.1785045289111638,0.938504848514668,0.8132244600436556,1.0903563690667635,1.3114818593164768,0.9651858716598616,1.0247225602832892,0.9260107950573734,1.1360483459760233,0.7304830753111837,0.7259073773572717,0.9341885931335022,0.8716886617042332,1.5429312637772548,1.0652283873864645,1.6927303390390822,1.0833048788624753,1.1408477903532246,1.1525653834977068,1.0167607366505385,0.8711825318215348,0.7215219600876587,0.7987767286057483,0.6985113450739623,0.7477746378064214,0.5375516715178772,0.8732054651497909,0.8031178404234303,0.7944955047241153,0.8996476691435283,0.5116560627158233,0.5832243310425761,0.7354286361430359,0.9946962295152876,1.3142837757372203,1.5157164300315957,1.625880337237626,1.2632279820561285,1.4326992289365503,1.6626855236955314,1.4670103428543884,1.4181692778027941,1.778262879039026,1.8991678861947685,1.5789723703502676,1.6705576802681519,1.961790061311164,1.9345093670269735,1.5924652765247262,1.6973467778871245,1.388188387104193,1.4033102598476523,1.3068309407625,1.193792213806287,1.1606192844079593,0.9580847260918381,0.8963260009975053,0.7984032733841123,0.7414095547752942,0.5852954055093771,0.6287042689570307,0.7507554477079299,0.6133358994354958,0.6590601564896991,0.6495546919372004,0.9431550419284414,0.8279316307652616,0.8453663180115092,1.0833780374642468,1.2774249549375654,1.1430077516491077,1.0008771793246545,0.7267010865445264,0.5748001230156399,0.9946582753123162,0.8524211196564442,1.05917718415148,0.9972292340895478,0.6465141220405272,0.5553035033510162,0.4893318171658424,0.6976085797785209,0.42277534354182666,0.4850248839157641,0.5163327199801326,0.6913493589254489,0.4834898174726275,0.5490728416311011,0.567280622635934,0.4398741159877486,0.7385050982074812,0.9705255957542388,1.502036693447452,1.6310724678059685,2.843366781727892,3.9536082558508805],[1.2579056323957065,0.6858201426759905,0.5650084150068022,0.4567072094628706,0.3994376169065094,0.41867172618203474,0.3485253345521261,0.37326236968085863,0.3503773033961624,0.2825251219651717,0.3323455046482246,0.4712313297221744,0.3618189316663549,0.37876063650681446,0.5681562435966769,0.5038482472986502,0.4797928474409745,0.6086503725847012,0.6894620879814817,0.6463710697860806,0.7052333784223288,0.6730682783608618,0.7877371605472092,0.9272459203684614,0.7019956082933158,0.6814298756762127,0.5704330466563934,0.5103006443419464,0.5361980110514093,0.536122673025497,0.6411893714778145,0.5878410218296711,0.7691261004014788,0.6675497772597911,0.6034954125171216,0.5765990177372993,0.5502738385464825,0.554978776484698,0.5003672534093939,0.5391881356077706,0.5238545458133881,0.6257961501250785,0.661778110552267,0.7766638107623116,0.9833891964296522,1.487510393060363,1.4758882184521336,0.9259338113071988,1.854381169826188,1.4969077229787413,0.8149086497372069,2.0234120484990963,1.0835938213262428,0.6126821543657214,1.6181003281374498,1.1947861566853852,1.6526773919405437,1.6488874782923226,0.9757056459370452,0.8644510461331428,0.779163127079963,0.7726619094775785,0.7685069391183958,0.8247461480201171,0.6939991075178172,0.6559251472250682,0.9063808633005006,0.745257352577192,0.8948722631756126,0.7612993997575583,0.9751029472696762,1.4456758334110633,0.9744087310323344,1.0511578972910762,0.7544117759647408,1.3027593970526568,0.6910208998813786,0.6751508356966365,0.6384063646969546,0.659355642270969,0.6532825550499791,0.727602536182808,1.0525980338559546,0.6443583168498936,0.696773663050641,0.5675067678211906,0.5767022917466552,0.5968075736671712,0.592282125002869,0.6934067326883122,0.6716545604235257,0.8934888878104393,0.7459130090075109,0.7157287723973956,0.6573581300484147,0.7451257267519417,0.7105640384884048,0.6264757569011925,0.5735068047437379,0.9007296311050046,0.6150828134613913,0.6731597786704103,0.5503836893315648,0.5904691797118891,0.8686626824682362,0.5864026621177367,0.7637869525035396,0.5727842478844184,0.5687822862313,0.6691921971644732,0.45751864601017395,0.39371152578157304,0.34603379060040407,0.3629729997472283,0.44933112184004553,0.36371723020063434,0.43630397685162714,0.4699710595425119,0.6489948749098731,0.6204885519110824,0.5075024501602516,0.4199552597207708,0.39138886093395026,0.37204105113167923,0.3095734738228851,0.34371980343312103,0.5666830072244673,0.3595124078862716,0.3840367586507742,0.5464252133621209,0.4101851430965705,0.47816324815373057,0.44618316236612343,0.6071454109019968,0.4815638340422972,0.5000698603374979,0.6805484088187123,0.6044394867546167,0.6731363317594159,0.5240190844050215,0.4716624126694305,0.6941014043340622,0.6548317001988809,0.4928328619249384,0.46374593309034484,0.4582178602597079,0.45582836177194397,0.44913341186334943,0.4125344039838673,0.39820696429538266,0.46493562125630983,0.5815712901576189,1.2004412279456897,2.0435893364577646,1.3462594748053538,0.7286524663497316,0.5372321618609726,0.557626826545521,0.5059909176938451,0.5012578025121016,0.45096950087932625,0.43324843405571056,0.4286292577920383,0.443965320174081,0.6422301437982751,0.5939620847022956,0.5938456949085139,0.7639566286338856,0.9145808287780217,0.9835614570090093,0.660078354010451,0.5335645102178658,0.4915524821195839,0.453640153990304,0.45163650517493176,0.5181191469334469,0.5082246608719362,0.7416033010111582,0.5183433904750876,0.5946415824865423,0.6194581247410821,0.49218258348165694,0.4974475194712135,0.48282627070028394,0.5021002145576798,0.5321484106431418,0.5592370294799826,0.780057332226455,1.2705748515384439,0.8324408068397654,1.3067508638490233,1.2784099974570298,0.9525585434742654,0.977641136887497,0.680514675002693,0.6375563990510291,0.7531734155713619,0.4386035059591626,0.47376747898033433,0.5252538806201116,0.619285377702739,0.826602607852114,0.5724648185667213,0.5327619187335055,0.8466660364991522,0.9023941313838043,0.5575718326325485,0.6717372343118948,1.1125808573676792,0.8231250937322708,0.7456620054556102,0.9902049982217044,1.1439129246621667,0.908442629118971,0.9209628062825309,0.82811531497058,1.0738358311798706,0.7397726459981724,0.7283307277790797,0.9113097405652251,0.873353844332058,1.6815457998325678,1.049620137506336,1.7061223721338865,1.1314882378170117,1.2360788181783848,1.2636708275246626,1.164286472290647,0.9527111468432358,0.7727355663585744,0.8764038222381375,0.7541983383996093,0.7531535399876628,0.5311701247951788,0.8958634058654619,0.7064893477830392,0.7426898898382165,0.8445162687019262,0.4887445823712216,0.6592015869930035,0.8219303319900508,1.0746885433418751,1.39908293225649,1.6512631031264549,1.7225286947088856,1.3208785114303747,1.495596906572605,1.7396169693519687,1.5025264271885321,1.427428439091219,1.788216688869595,1.8728370964321484,1.5008091168390845,1.6312774144671114,1.9037969064890745,1.7963291779925112,1.5026036792496413,1.6479097962167255,1.3506733145633463,1.4042938638977287,1.3162784391229985,1.2354067797307544,1.1735206156901246,0.9521877611208414,0.924774411199853,0.8265133727845798,0.7496611434681543,0.5941201277358473,0.6442724990876999,0.7505477693170697,0.6142326978515174,0.6202847732812873,0.6263237834242369,0.9029743493100436,0.7989533832841167,0.8310174772103457,1.0459135644572284,1.2642413312623333,1.178697551057646,1.0447672672759492,0.7786941809801707,0.6295248817573523,1.0821242309354617,0.8818930175718656,1.035888025693715,0.9481009337133338,0.6123315812727728,0.5410740577527079,0.4925500247077086,0.6919515244482967,0.43669021970030963,0.5478192458532088,0.5934563506750576,0.7271122144450146,0.500901976588694,0.6117444226400996,0.6561021209985091,0.47495605119452544,0.7570334547656754,1.130680125778717,1.7304926511660566,2.03627791736767,3.357893433651785,4.580585481124699],[1.0936442885339654,0.679912947165778,0.5180663683396212,0.43348451161715934,0.4126828562014314,0.3829658944855107,0.3431170159019988,0.32300510703887103,0.3186064994114431,0.2852156379807496,0.3092338463718528,0.4175478602244547,0.3289797532934186,0.3549247393931338,0.44535703291463197,0.4254217183349646,0.45042472795186855,0.5435001936257717,0.6529321537340685,0.6098169109349038,0.681836273865014,0.6496535105483999,0.7987072909908663,0.9746168925513351,0.6944652379458102,0.681223110542612,0.5613515004094017,0.47749354826138823,0.47396431503977887,0.4406028719375234,0.544342604883305,0.48951128264980315,0.6718270225162614,0.5763301040513974,0.5054244123255758,0.49458911618839513,0.44461645813861583,0.48236619979691403,0.457159566852108,0.4748542046532319,0.506771922279907,0.6074357649642772,0.6349968911814456,0.751503276502876,1.0494479692882264,1.565180809442782,1.5773417414417161,0.9306475900895349,1.8744033324375007,1.5329643308986274,0.7848520661590926,2.066378844277726,1.1482966936957273,0.6274540139613486,1.5758970449641423,1.1497529409512226,1.3324347487267347,1.809969347577046,0.9605015593751565,0.9220230418951707,0.7974615951183723,0.7197687704942752,0.7286414439341653,0.8007786610508986,0.6815160497315291,0.6063757765155188,0.8706861316406215,0.6923450031346552,0.8663605035640038,0.7050523508692103,0.9209615044775732,1.318954453438152,0.8967776271498576,1.0001030572765184,0.6941511867816254,1.3129274672332194,0.6413029914500415,0.6012084220535375,0.5633133729519264,0.583482358931882,0.5389416534793123,0.6535395193014991,1.0154553631627963,0.5353597016118251,0.6867124887263569,0.4828731874116993,0.48906395657038565,0.49886585880525974,0.5194822932429843,0.6133145798503661,0.6088926367085831,0.8355329926084308,0.68806829969708,0.6169566888982929,0.5524007952431418,0.6530786987455319,0.5844648954758858,0.5256780406714235,0.4748362637252863,0.8148845699146472,0.5147371588529037,0.5671941247183444,0.4446371136842902,0.49308862501189116,0.6930284658249493,0.4875486121453657,0.6561173106155667,0.5319576836252072,0.5217709814459189,0.6367946259360852,0.41238927049342883,0.3406536714697307,0.3170106403121593,0.3442236063771164,0.4309977249160816,0.40582204380257864,0.4567409840150885,0.4916689891575032,0.7179959348957465,0.6114452123836784,0.5486661724083979,0.45952672184302834,0.4519649370703701,0.39090669555964835,0.32815250902959603,0.35061724195692656,0.4809718981294941,0.3575822070139425,0.3535095691974719,0.5001259116369178,0.3927134164799507,0.42807942586245445,0.4127555071601468,0.5680581346999535,0.45907999817950934,0.49206252869909195,0.6651857501080995,0.5612722943485511,0.615275410519033,0.5675907966316589,0.5336129943473351,0.7496099217485224,0.637590922556439,0.4859869553549805,0.45073399599427877,0.41909569258532015,0.41279729821454453,0.40442704633112664,0.3703269741543528,0.37488459245483763,0.40049268156918216,0.5360365546400901,1.0926232739546036,1.9629834955016232,1.3595561556176488,0.6222219131649906,0.44474317518723105,0.4698639541549457,0.40628178211810584,0.4082268231368136,0.4075753068581589,0.3743312550530802,0.4305026304410343,0.41666627902155917,0.5750698434485267,0.6186760949886824,0.6133175707996166,0.8403396379097405,0.9692936516430528,1.0102026687426116,0.6750873151090998,0.5438019725280648,0.4841094266911357,0.4171556554887484,0.39636973380012036,0.42230868216908146,0.4242054096404871,0.6457163908813597,0.4369194909081878,0.4926033383420403,0.6334744721957749,0.41749349577859396,0.43079652937651236,0.43804703186970884,0.4785179203395235,0.5504475990063428,0.5585427611236156,0.790961741909049,1.3232762891276975,0.856733610197155,1.3675641735721682,1.3123969590169289,1.036145686466443,0.9886275957690371,0.6515643227355823,0.769359322017577,0.7169708898164213,0.45180463753646233,0.5114792604847302,0.5186202789726488,0.5435440526688721,0.738469276783857,0.5403932461897804,0.5165834539761394,0.7876860068648129,0.9019528120765343,0.59617047915911,0.6752900754794169,1.1012401671811292,0.8941217181719071,0.7939748741699587,1.04239633405365,1.2537601721834328,0.963319261008108,1.0136486991715103,0.9244687502157959,1.1094381741152182,0.7231145211138389,0.7050724734812647,0.8895464683051262,0.8156381724922687,1.520209178590742,0.9766496282319163,1.6047435740075267,1.0055677732809358,1.0675298974063805,1.0793618045065505,0.9542055963719457,0.7895684169197016,0.6589622048765228,0.7239445118647179,0.6577866394270685,0.7149008287310126,0.509008506673731,0.8980748631682655,0.8311012028174676,0.8208736438818952,0.9557188569634857,0.5283643349892749,0.5360160437868678,0.6683864971817752,0.9259376716757143,1.2335370892480229,1.460380353559283,1.5540341412139718,1.1779386481774055,1.339997217191236,1.5788557497942977,1.3848891940790984,1.3275394629478916,1.6786122660038394,1.7944463293204156,1.479639604947933,1.5719821486123258,1.8579701405802143,1.837177243613924,1.513268558414344,1.6141961612404818,1.3074756021338276,1.3125859861597664,1.210218606328821,1.099795480105941,1.0742701266789572,0.8867275795676587,0.818924628216969,0.7375135951240981,0.6991041431431084,0.5556491817480896,0.5968019402954974,0.7447903554021591,0.6209393495725917,0.6693794874760512,0.6739438637477332,0.9500902894737533,0.8440161064774094,0.8470362267574687,1.1083307630092774,1.2907445398867463,1.1274748903977818,0.9986220032245396,0.7377954816931135,0.5912145344863432,0.991053373069371,0.8401718465983413,1.0574702647802445,0.9894056071748693,0.649492697108076,0.5623151761625205,0.5081745123796843,0.6811342555183371,0.4239105568322527,0.47286444879002115,0.4910860646208327,0.7051349261187921,0.44641837232498827,0.514156489900457,0.5619652120624584,0.42369758130541163,0.7372693439009043,1.0153196286545034,1.5507935707474332,1.6598590748705917,2.9393717451652788,4.152403914062035],[1.130642564299728,0.6996946995473312,0.5321443631566901,0.4598594100937163,0.43875994310952693,0.4224299753014939,0.37748090133083884,0.40277656884771623,0.39295185431105173,0.33868242348617866,0.39326073556203933,0.5621019660756689,0.41052841917442323,0.41173818858761724,0.5870708383416374,0.5811104798181178,0.5478208580414574,0.6560194313915955,0.7486507100898979,0.7252833315550687,0.8145170667470267,0.7805977597058074,0.9309288008375393,1.096854636791551,0.7588403282807872,0.7648138559324956,0.651546845825613,0.555463803340991,0.5919730555764585,0.6041468722118133,0.7377871333343562,0.6808583328981868,0.8974532577240555,0.8150788845424403,0.7208233566883696,0.6653947484029562,0.6454951966961932,0.6222199289165069,0.5695243413620593,0.6087147809540397,0.5940857536824357,0.7213763077132893,0.7714295060589145,0.8122777929149934,1.0296903044106287,1.531689486662676,1.4855539087855107,0.9641900028256515,1.7422167618616549,1.3585157989494492,0.8876539359219644,2.0576519298800333,1.2441527776888142,0.716389924102553,1.6484959608181193,1.2573277714502908,1.4025630168816392,1.922028574295194,1.0947032823109573,1.0380239023591535,0.9380419460665547,0.8863148263436772,0.9166870755230301,0.9766442743729978,0.837225385547528,0.7701772993801369,0.9834727526421282,0.8257457727059989,0.9611975813486385,0.8082457631543857,0.9305493039515947,1.388738946930389,1.0120203537603087,1.1500548966583373,0.8426108769083639,1.453067006118007,0.822142250281889,0.8214070259923215,0.7748513106869445,0.7689465981593988,0.7369678071097258,0.8173290009698942,1.0772859481852555,0.6713554505078038,0.7899557964718563,0.6256142701487905,0.6520311402079871,0.6855825812173301,0.6846687190730867,0.8176536286778772,0.7963218380074326,1.026017334861727,0.892540514075672,0.8617775452238293,0.7766626509007116,0.8729567773204606,0.7793033594269179,0.7555512664791194,0.6876375950219534,0.9611146619653818,0.717634924780413,0.7202057408797488,0.6050598421049076,0.6042891697422171,0.8146517375589064,0.6008301493429742,0.7414577374461185,0.5836905163700011,0.5424676478577766,0.6723757270969112,0.44686032609074494,0.39942658203349296,0.3714757104292032,0.3986307233942915,0.4748772501626772,0.4334650281606711,0.49411267870090736,0.5051235317480334,0.742004589774362,0.6489035515611389,0.5601279311227598,0.46518787579564796,0.4712116405846383,0.4274763780381802,0.3597501787590603,0.3915800174747335,0.5074090029533167,0.3822318729252389,0.39515702025197635,0.5336755733366342,0.41654423045617106,0.4467054178422249,0.45276372339104126,0.6030975917998008,0.4862727220680758,0.5137697296061053,0.6591570315188369,0.6067289075563985,0.6872543502350299,0.5852151603402178,0.5380365106753194,0.8083730345412244,0.7156006939037881,0.5324585896768876,0.5047490374575735,0.5025120386715076,0.47920791729740053,0.49877669851330164,0.46485282722238425,0.4404131668277308,0.48588046550501873,0.631890711558644,1.1955185967322173,2.047963494174343,1.4518020165244696,0.802300689216819,0.6072757791119041,0.5952774219904049,0.5560061254812386,0.5149160195176264,0.49803043996461627,0.47455001050180123,0.4703033103959649,0.49231820022970474,0.6212045551993707,0.6767620969141533,0.6336095541588587,0.8157372183599326,0.9180817061656801,0.9766499413903115,0.6425350829243133,0.538585618946076,0.5060209200754323,0.4873012781966726,0.5019109720151069,0.5442563609479377,0.5637755909374876,0.7603890097086808,0.5708592186217523,0.6019432359771837,0.6592604577235401,0.5065510864466267,0.5120875737281058,0.5049141799766738,0.5257792526984911,0.6229405440450237,0.6309988192299926,0.8465893348631224,1.27902097863391,0.8619039168721574,1.3771864843576151,1.3816765258669765,1.0277044527521562,1.0047182701983814,0.6806308921869909,0.7727340221073324,0.746125264575972,0.471233544649399,0.5250924717953956,0.5299937330559004,0.5457453075588918,0.7306879529278725,0.5324417083960281,0.5125155318708153,0.777646585754339,0.8819828379130363,0.5871880026830946,0.6690477494114623,1.0833647211822512,0.8709217263224772,0.7871472641828929,1.0281519386557494,1.219817822789763,0.9633128242845307,1.0070945097044925,0.9128496234625416,1.115749102914447,0.7333627360088956,0.7128403806776817,0.8942586707534178,0.8185609086728303,1.564014080076755,0.9707978945677569,1.6010531275741828,0.9994489173501796,1.0714481679591876,1.092819529755405,0.9779091151371548,0.7978343187983602,0.6664194887970343,0.7398442868432681,0.6659563946086001,0.7224354117499199,0.5166736186947734,0.9041021456675761,0.8106157020847821,0.8158324982512382,0.9530618975751491,0.5264508797537595,0.5491011244055115,0.6766374930950471,0.9326366266011251,1.2381835419587823,1.4797638359231315,1.5550491910567252,1.1697620013853631,1.34495629057782,1.5844557596689706,1.3724728672780233,1.3207886941411853,1.6776108274855872,1.7866906524138735,1.4533246867505851,1.56161962832401,1.851456508598383,1.8083763809558384,1.4966872205622466,1.611523400970952,1.306461831818844,1.311407081463504,1.207369925515775,1.1055980312091076,1.078227667275042,0.8880957074841906,0.8194380079426831,0.7375667371705827,0.699310159105653,0.5592944574547077,0.5943359323518201,0.7412925673310413,0.6229227710163648,0.6662106841893901,0.6793467012161306,0.9460041822400509,0.8535669675945946,0.847602372882418,1.1077476432005366,1.2895385448418402,1.1440037586098881,1.0077824644543376,0.7497139197907227,0.6042431072190672,0.9966347626472026,0.8437777451637924,1.0541259674796946,0.9869150136257081,0.6493401402769677,0.5618575935559244,0.5127848978534937,0.6689536234346813,0.43916616078852927,0.5129680428144167,0.5443404061580867,0.7661211889708169,0.48080934387534013,0.5494624653271485,0.6099905555481154,0.4687026439117461,0.7560777478526272,1.088082724882544,1.641278945352171,1.7922792312837974,3.11969151255594,4.392523872393493],[1.2420912934243589,0.6960404178369297,0.5699334888888983,0.4751375026442239,0.42128130895838517,0.41406094455359593,0.3644403325822246,0.3942276573658702,0.37406471793634516,0.3123678923605662,0.3567800672196919,0.5158565279554703,0.39022576301012296,0.39543132992466806,0.5500730266744334,0.5350945650465725,0.5089870304816599,0.6180021216344129,0.7213986989622231,0.6904224603243523,0.7825256132137159,0.7416452321599576,0.8982468956167622,1.061313511403968,0.7338062785244858,0.743338479538608,0.6195669706176299,0.532810617926895,0.5540650951470684,0.5542150166992553,0.6678926942967012,0.6307796869406804,0.816206044269377,0.7445676417888099,0.6549803268856543,0.608651796924839,0.585057872466457,0.5721404905234175,0.5268268420854304,0.5582356600349326,0.554754826716254,0.671800612696511,0.7224619818388748,0.7806754051174501,0.9902180722958558,1.4930522896422886,1.4636642586234725,0.9339838882610444,1.7285628107123765,1.346357671251335,0.8401307795626407,2.017367888729113,1.1910776204047713,0.6386957328856229,1.6006107417499724,1.240955475666065,1.5059031564228005,1.795445099114128,1.0178707161141498,0.9498559367568334,0.8629136739719229,0.8443956456120587,0.8618675204415998,0.9444693345460554,0.7968190866539288,0.7139241861406218,0.9483086155845738,0.7866786083126909,0.9293354182137565,0.768992679946119,0.9310124397020679,1.4156792768859536,0.9847079542904499,1.1274509845921716,0.807676307261133,1.399085401413917,0.7743443850032012,0.7583898008288417,0.7186490926553815,0.7136457882197146,0.6857961443670813,0.7563672103708645,1.0571616119977214,0.6704535654096713,0.7045902331757586,0.5708653604641535,0.5925981747320261,0.6178502301663035,0.6329523906541672,0.7631995260503474,0.7315399668265926,0.9489500786728592,0.8178598219974023,0.7736024382060899,0.6888548348041383,0.7641784278123659,0.6997657246507009,0.6667086662222514,0.619595953196066,0.9516050641288661,0.6720419897365768,0.706937041098741,0.5788258582970248,0.6011307709052585,0.8481231924685653,0.5902464347515614,0.7869308931816392,0.5729402991242376,0.5574682232740392,0.6979692824672373,0.45715543604987624,0.38752314290088297,0.3456649417845848,0.3731943165030111,0.44352366366334506,0.4137460498114573,0.47498336889423987,0.4969221253877237,0.7534480504398255,0.6488132288424513,0.5605617899043875,0.4592946671775389,0.4518849737622149,0.41720274589384326,0.34493682764246064,0.36612918906476855,0.5214758906900652,0.3763836104998496,0.37114730947232566,0.5401026388159792,0.4149504649398327,0.47364960028316677,0.44457926207159065,0.6265820455559353,0.47993049956339123,0.49980841258238806,0.6778053314800159,0.5919388490142137,0.6665260198100854,0.5543196039290808,0.5250626515924102,0.7836369933693007,0.6950158989433817,0.5090848483629398,0.4849580022581349,0.47214866548024537,0.45071544681827397,0.45794978342756115,0.42872887453735703,0.4138120203646661,0.478141117654192,0.6006179543045669,1.2022460214158528,2.066971429033252,1.3680344543211402,0.7702358480429199,0.5607594867343795,0.5767103419468672,0.529484657583879,0.49862960536633477,0.4703253058959686,0.4315468834150091,0.4457340021060469,0.4576048361592164,0.6165368391819069,0.6269743500567191,0.6037264674107956,0.789501715328569,0.920465154497874,0.9797180959447007,0.6510290963005351,0.5233024436957983,0.49629134769348254,0.4627626044867092,0.4715886859156198,0.5280759630314701,0.5261086688941627,0.7555181709577333,0.5445894314484462,0.5990490650165399,0.6266705232693369,0.49446609835611854,0.49681069560639574,0.4812361769901388,0.5036291617718338,0.5691812308845116,0.5717431397732063,0.8059626244060213,1.2526262185535302,0.8203989061462832,1.3555705432960654,1.3249048530196939,1.0084509778062094,0.9945531865611394,0.6629649244131727,0.7128519226290901,0.7417901726678572,0.4506424109310648,0.5040430907843723,0.5299763702043455,0.5973806617020433,0.8078187897846901,0.5693098381977805,0.5444517298113667,0.8554878533040916,0.9314254986340076,0.5934502116232181,0.701619042274137,1.1566314389046333,0.8807752833469216,0.7982396183292648,1.0668845291598608,1.2355449032497354,0.9513367887916386,1.0057096544622002,0.9078698766339582,1.1528123974438944,0.7718989135489924,0.7570686570355666,0.9627260173091468,0.9135895039363859,1.6458015102442307,1.0945850576209355,1.7544014948271622,1.1333529226210306,1.2228329661262025,1.2365925553950203,1.122996340007562,0.9164603516140688,0.7487605628638803,0.8303061424870253,0.7305944842447331,0.7566379370657073,0.5373483887157735,0.8898420469139084,0.7889119585129295,0.8017278457892308,0.9147866946510588,0.5201895789661493,0.6090496400973553,0.7746509491037863,1.0472031464342786,1.3778329448937616,1.6530131989529504,1.7154315020842268,1.300404592992338,1.5040121546261191,1.7576020832784414,1.5097228575828856,1.4385980842205828,1.8342382112534936,1.9294002094832607,1.5550589615762402,1.6987585958902716,1.9993709393714922,1.895355590160188,1.593622397820417,1.748288084874451,1.420491742334023,1.4564877651241002,1.3391228549423417,1.2508193798070044,1.2102247864608766,0.9754065227317557,0.9349954812233535,0.8415065424429112,0.7740291641697365,0.6089213415415222,0.6485476137877416,0.7904333665895452,0.659590349510402,0.6773743522608555,0.6884176375255658,0.9877320711103931,0.8705301406653714,0.8836635114081044,1.126122734951361,1.3098542394337203,1.196603545446072,1.0343960316795167,0.7638144123679512,0.6169179453628799,1.029369647098921,0.882933655367234,1.0919647722160557,1.0164272879995526,0.6531449744474367,0.5652991381948449,0.5026900245438124,0.6769104629369795,0.4419914557961084,0.5494026287346367,0.583501068518355,0.7535305181535916,0.5140511610621253,0.6155105319944959,0.6606910012658054,0.4895749481729943,0.7982346143551348,1.1083137036542556,1.7601408533965381,2.0924766336686824,3.514767936066919,4.772245731059662],[1.209801507089431,0.6861404755749312,0.5593359883543174,0.4607452741093461,0.408823280411382,0.38751797303019375,0.33046586578518844,0.34749165329244236,0.31882872866838463,0.2660994703270786,0.3010308198278512,0.4291389846918085,0.3151207660304671,0.3414595911809235,0.4935688988653847,0.458259367777757,0.4590808490642805,0.5682501400813249,0.6735424351486923,0.625399773814234,0.7143243294571033,0.6759909346483827,0.8300956487417959,0.9890928844440946,0.69815027446483,0.692279858207175,0.5638193634071447,0.47444051814996396,0.48837938976731476,0.47453751724509563,0.6028001028349065,0.5333045519537689,0.73116900902746,0.6486269582027403,0.5672366481768365,0.5348105810812243,0.4869382389348414,0.5000058223258762,0.4608912972845917,0.49006307077516587,0.5037940294678177,0.6200925795454869,0.6462407539969627,0.7566348639246049,1.0474545624774434,1.5506279153063065,1.5660232933646698,0.9404710532143391,1.8501043025586108,1.5023854419369183,0.8046628158692514,2.026632936157839,1.1359505749209748,0.6217581931812303,1.6076379595365016,1.1580634468769162,1.4153545330212738,1.771712152096577,0.9733104411296785,0.9034864634627956,0.8000243625423367,0.7569492555481626,0.767235222149047,0.8596064955558191,0.7213107678239238,0.6385818879243963,0.8899207938112134,0.727129202589789,0.8866443936846692,0.7351974079075096,0.9188784236688803,1.3740824205590372,0.9506096465408804,1.074325855756633,0.746873936315286,1.3556777218437088,0.6926384721863055,0.66594784490496,0.6205222007346334,0.6257779373948377,0.5976468327832863,0.6709569420610324,1.0196294900206007,0.5600995671814454,0.676556826240399,0.49855247317141016,0.5148078638111279,0.5472358581283386,0.5541828220738114,0.675465455645806,0.6600465797040495,0.8944600195641977,0.7518864200840807,0.6989955562602334,0.6199813871668786,0.7133550189196878,0.6502000428807458,0.5798679272127781,0.5252683975576765,0.870886726040429,0.5625449722826549,0.6233144315167414,0.4733863132547577,0.5229089552493073,0.7534599972969086,0.5349216189407604,0.7301226057780319,0.5491071781530341,0.5550305053405393,0.6438808639253464,0.4176030847476881,0.34678358607363613,0.3007574739854635,0.35019225826669087,0.4209828141744475,0.3912879860900304,0.43661117369551805,0.46400947154492006,0.6894347381000316,0.6025785417428996,0.5217460912427272,0.421438362721603,0.43085472775406225,0.3951810713197524,0.3217525972935216,0.3451514428533929,0.4701263331929243,0.3528782112767574,0.3353441227548291,0.4974495772179473,0.38239160135830097,0.43776183942025126,0.4108303469671279,0.5718576290575461,0.4462964082253617,0.4831635672145522,0.6646680405008832,0.5542794830428702,0.6125044739912073,0.5536795379699258,0.5173020232172963,0.7429859223137562,0.6356278241848636,0.45908368863861027,0.4242489136653286,0.41296204604493103,0.4003900968246488,0.38995092408292736,0.35595669281499553,0.36779150360408824,0.42578163397279944,0.5539827960746433,1.16710870084584,2.004727381062157,1.32024866426388,0.6768221626249764,0.4704543014230481,0.5029128078137465,0.42083204418472653,0.4313208186927774,0.3990017569472917,0.37254710769145843,0.40843862789225804,0.39614835728383097,0.5635990708480084,0.6152834206002978,0.6023760892607952,0.847294496638371,0.9910351018445308,1.0240745990592308,0.6727579680800477,0.5331353574056759,0.46166439264955156,0.40966874448076623,0.39102584429687626,0.43730429920583264,0.4395392681539202,0.6811761570698213,0.4465494475689134,0.5141792683610774,0.6156742666755639,0.4231812310264354,0.428850878000132,0.4280362690466314,0.4679356292907475,0.5396308356998333,0.5581915687171927,0.7721839016171385,1.3068646837202818,0.8519866157303482,1.3535212972973758,1.294168620381598,0.9994301015537387,0.9894184917070136,0.6546656805221114,0.7184166753750737,0.7092051048836883,0.4142312352260295,0.4792202307513161,0.5041869556802016,0.5896451555347916,0.8079371792383815,0.5691532490373574,0.5449665227370389,0.8711404775203966,0.9618929097195608,0.6162422704096304,0.7311759162365813,1.204249753648892,0.9415841432521874,0.8466902410921504,1.1310124167403455,1.3213813609113656,0.9940031362382479,1.068662002830998,0.9598625574057872,1.2151086345211701,0.7946642608108121,0.7930149930644348,1.0093254560355096,0.9555392259549154,1.637302235131402,1.1407863768777087,1.7585160211794237,1.1423762017858299,1.2122429851369863,1.221873478170725,1.0842334712016681,0.9135847565688214,0.7391866279199123,0.8190628055634805,0.698335243637694,0.7380748690342288,0.5263295578161145,0.8771147891147196,0.8059583793895612,0.8118715147237773,0.9136074201625336,0.5047895910754463,0.5869953139426688,0.745556104373705,1.0249273707562647,1.346159846918347,1.6003483115934594,1.685275611990117,1.2937447804579993,1.4985169231890858,1.7457478898045349,1.507004342030911,1.4597682104522527,1.8589696208693287,1.9691037910839257,1.6093401136346839,1.7423151449550263,2.053258042425327,1.9745167780600779,1.6603420379344516,1.8035184695372608,1.4683343389499715,1.488858949595209,1.361623517217182,1.2589472895660236,1.2365349185764953,1.003050010784479,0.9405041774558648,0.8553943424000838,0.7952667902242898,0.6154294924998893,0.6629048489198265,0.8122610501542668,0.6624656522883747,0.6790341382420148,0.6875496118343867,1.0068669382037938,0.8822526789639356,0.8972916991006082,1.1533337412393905,1.3244533276426125,1.2116748717040406,1.034600986996613,0.7619366456577819,0.6179134348258101,0.9986148653174827,0.8788346940047184,1.0985120763230194,1.0325383689168919,0.6661461211211803,0.5700816740537221,0.489277385125306,0.6726312335577935,0.4319391578873556,0.5138296391453808,0.564320970519505,0.7313810739465539,0.4938079825170424,0.5851465820465419,0.6117135989604955,0.4549548285299287,0.7733074720911136,1.044381720864711,1.7245579658549846,2.024864684456957,3.4463903089031858,4.625291059695416],[1.2678827862219375,0.6829289361353925,0.5936486393639362,0.48203560586163674,0.4333771712625047,0.42523150177218483,0.3461667354236696,0.37619307781319444,0.32947579666332943,0.24972504945648585,0.29296925558248926,0.4234126839862781,0.3068823772207553,0.3257198685417698,0.4936927663447651,0.4294920227027756,0.43352826176622616,0.5363972920332748,0.627202690466539,0.5804146184420289,0.6498743635492328,0.6138696606616904,0.7515984101177889,0.8901214654828062,0.6554816679206258,0.6294461034523524,0.5114344931228121,0.44188169897744717,0.46502979057465227,0.4509750396818435,0.5648417970350413,0.5014925096373778,0.6794989481776347,0.5888195901604647,0.5173194725381312,0.4929086463008668,0.45874448314089333,0.46785026363103294,0.41509601588830736,0.44594467318407577,0.45976239537434277,0.5785488671116764,0.5981462558729355,0.7395333024858868,1.0608039485312653,1.5616218518554295,1.6132503937655516,0.9217029246031215,1.9406233316907675,1.628559113680796,0.7711736455337935,2.0013207928040098,1.0663654995703304,0.573275400142795,1.6096907373455989,1.1252797466825593,1.5154746916316826,1.6241287229376113,0.9166695596846015,0.8343904324147531,0.7345320866150779,0.7041467610357572,0.7022399072414979,0.782436256724489,0.6379814467746213,0.5802843841850451,0.8573609484429889,0.6909182933174948,0.8574396504666022,0.7091882606398947,0.9365342230869306,1.3768635178261415,0.9258640157365063,1.0078054757808903,0.6993229576318793,1.2807170656609324,0.6326018415666645,0.6167513586352975,0.5638244482676963,0.5869442758304313,0.5741945935304951,0.6484461866770818,1.0302534574895157,0.5688348981476415,0.6322668491645986,0.4793782609507835,0.4796353309924424,0.5139647222997388,0.513021487956551,0.628587882906177,0.6123015168064437,0.8558893036855307,0.6976090910629333,0.6519267316701338,0.5827265648521979,0.6916126657418437,0.6600052688118356,0.553795324390615,0.5056268479786176,0.8445768970117948,0.5412661625508334,0.6215450230165606,0.4726127469435354,0.5443606611702679,0.7852323072654905,0.5790166330914552,0.7762541909828287,0.5886842591247216,0.6226021149907012,0.649903106900252,0.4591348653387854,0.36980920338185924,0.3242011316773283,0.350252398792257,0.4024612274188644,0.3475836926040656,0.38722218483326365,0.43422983185486597,0.619774145852465,0.565208915699107,0.4804255245205988,0.38543973152865313,0.373024599894274,0.3525172228643372,0.3116471150366161,0.33876557027875903,0.49454374717987265,0.37113630954020954,0.37168304685940634,0.5184126251839363,0.4139185176464981,0.48116926278053584,0.429523161462961,0.5871676238875568,0.46121060736976477,0.4968343980924536,0.6947249792975044,0.5752397413624825,0.61394640252306,0.49972344433935567,0.47752649826105503,0.6460050143713364,0.5828524543112904,0.4254856868817232,0.3979439351758367,0.3959402613988849,0.38059263629759854,0.38411064627586605,0.35006821914120384,0.3896334369429701,0.450728041627985,0.5515205558223943,1.1897982804380234,1.9561643784027145,1.2407070644190354,0.6461424161620289,0.46348735387434026,0.506945058995422,0.41430656443293284,0.4606095698271104,0.38406747106657263,0.35759472631498995,0.38071897735867366,0.37384712938443593,0.5677192845797043,0.5705141795751127,0.5929447650815705,0.847595833501683,0.9988563462900845,1.0300866657707028,0.6751469349229137,0.519218798682154,0.45247233096685147,0.4082289572117082,0.38507413067058227,0.4458871681597352,0.42958304855706336,0.681679323626883,0.4377177596720081,0.5391125944132068,0.6154900486234246,0.4450306653979382,0.45250231310653843,0.44491900453049016,0.46731207981553025,0.5028608289632257,0.5155969845454268,0.7197760086306021,1.3041366464930106,0.8280537331546127,1.2984281243398068,1.202410015251435,0.9353223088210537,0.9624253802487016,0.6777480245274913,0.6895641332847882,0.7386561344313313,0.44427604400315224,0.49225259054994297,0.5302090305590828,0.6516025053126169,0.8693871412292441,0.6107816321773032,0.5774984422377502,0.9257202726386285,0.9939832307856451,0.6213765043539682,0.7523769900777437,1.2413925287100611,0.937273087010431,0.8408565517834741,1.1327473361780802,1.3086612053320787,0.9657941089993503,1.0388130113697103,0.9251352764991438,1.2091583305406475,0.8056010980766289,0.8135275960313364,1.0347559249933072,0.9999043158350446,1.693807488493882,1.2034705363047513,1.824388512858012,1.2185951101524406,1.302117699477464,1.3120129729410848,1.1918595284138394,1.012111253902392,0.8172588732104665,0.9176842807415131,0.7721934574299641,0.7809858453976636,0.5878423656254942,0.9037121749304942,0.7900837948980642,0.8004611320021102,0.882522980691827,0.5207729104638821,0.6604175213501636,0.8351810731099789,1.1092064720554913,1.435293124390487,1.681711670391305,1.7673354764334201,1.3801103922098832,1.5899985055025712,1.8300567937528376,1.5808903257698697,1.5312558241823804,1.9338120236315717,2.0372146006417244,1.6622430012210134,1.8044694718150953,2.113866954866675,2.009491365878293,1.6916188369854437,1.848467436883469,1.515141261689272,1.5554009808904832,1.434071333668817,1.339764941930587,1.3029345492273245,1.0546753393816561,1.0087391590955654,0.916465691597104,0.8403513980560168,0.6553293376666725,0.7134641266785942,0.8477967318539423,0.6783917862216843,0.6837347921582123,0.6976549480516857,0.9893176921917795,0.8640713481635587,0.9057947164482095,1.1405899533089463,1.3248640314902256,1.2521240347058127,1.0622980499600134,0.7711487777562113,0.6268043452389065,1.044253164149625,0.9103454789880162,1.1070031988096436,1.0397731085409083,0.6665051250872378,0.5881985743371894,0.5081545914427564,0.6949665263449154,0.4712900297919051,0.5497622599999717,0.5948820569093008,0.7195685406352524,0.5345302081012006,0.6291109761107417,0.6411687576765015,0.48706469597313945,0.7993096267701782,1.0558497481551379,1.7773900515737726,2.14289139276248,3.555236379806342,4.6640999045531135],[1.1395941308856643,0.640580513827213,0.5403816267207889,0.4344462590211381,0.45801417367355124,0.4091697098310453,0.36108544323644043,0.3687325787375852,0.3293777934765812,0.2685505449771007,0.3008286513159686,0.4219155274602522,0.31433465583363307,0.32402926790031994,0.4487672327807346,0.4084661824877379,0.4192963297398854,0.5131096942774397,0.612257190370299,0.5600502789977988,0.6457312592560955,0.6196115885809712,0.7741881065743184,0.9130593304777808,0.6827075636209967,0.6449650824721596,0.5170200169240838,0.4305359360482589,0.4461626538228706,0.42965326623741357,0.5376146390350964,0.4682234727790326,0.6353205826266796,0.5555883356993964,0.48434961532982246,0.4673339919218042,0.42315693510990676,0.4443350244571362,0.4050416159659496,0.4244273186061908,0.4669164659155812,0.5650585043462462,0.5813981619015933,0.7415399557062214,1.0978915122037998,1.6223382029832565,1.6892908504541586,0.9494461392694215,1.9918307629360272,1.7144371824598224,0.7836361279402432,2.065858846057528,1.107662639248117,0.5781128461027505,1.5418442112151867,1.1190209887762885,1.3310136864412083,1.7149396461936872,0.9182772965109376,0.9097796451349979,0.7544339026237582,0.6942769098737628,0.6947673275564843,0.7742842060728999,0.6419343223220556,0.5714186077204322,0.833330162021226,0.6509551189821132,0.8237266375921896,0.6835749917074426,0.8903786428681847,1.2971776489467477,0.8972553295399813,0.9981691741280055,0.6776448467700936,1.2798662333804205,0.6065787422753541,0.5859698005880293,0.5376887607571835,0.5540490823642509,0.5229812838679107,0.6023963028287989,1.0091372168385206,0.49889389307977955,0.6546050557010235,0.45578684722346896,0.46446476418146027,0.4847346185385513,0.48546363045301777,0.604172098508307,0.5940400874333284,0.8362406697801503,0.6821632428604243,0.6184747889185293,0.5493159245971466,0.6675148352784434,0.6196098413253068,0.5242040786798988,0.4594490509431802,0.7773867863372501,0.4876205788945851,0.5628170463334963,0.42512873160174736,0.504459135905099,0.6657008448522478,0.5274677049685903,0.7056716772640279,0.5808008205213082,0.5887072445526477,0.6451752605344598,0.44174140144275625,0.35201761225189,0.32039107864065974,0.3330078734021841,0.3909057235828683,0.3877873720478269,0.40535351285870697,0.41954885396963293,0.6370713386784776,0.5499565016794109,0.4920929928854641,0.4075041074582367,0.3823762870371543,0.36475864220591114,0.3070135833497977,0.3478116545905733,0.4620805712541548,0.3721874732849544,0.3706617920419373,0.5127836925832343,0.4089928835239153,0.4554166562943545,0.43113791033646987,0.5739712171272875,0.4693419220386335,0.5211130001435159,0.6993920154936949,0.5666553769356115,0.5878554911374909,0.5446374585728727,0.4871224038705022,0.67081389802765,0.5647277078252808,0.41640241752770607,0.3890900464358415,0.3851717180063134,0.3626957500356207,0.3754402255027474,0.33671304747348163,0.3797128423337782,0.43259519502195853,0.545552923837151,1.1537252627222025,1.8671438262055202,1.2515897618441285,0.5951152078419696,0.4338751606046813,0.46988430145067267,0.38446564770951136,0.4193784893274321,0.374470571780656,0.33590790671171633,0.38461899208986966,0.36426412678281056,0.5431455496397417,0.5864542607831649,0.6318512058975384,0.9321822152918237,1.0863038384124055,1.078129318578423,0.7144331468057121,0.5473059602630015,0.46082231855166317,0.3974773651848947,0.35616918493505173,0.40072252969431454,0.4007297695831791,0.6313788182189511,0.3961210142676654,0.4820421728507334,0.6325424409119732,0.4096282174385052,0.40617693388491166,0.414671453215309,0.4576593376923706,0.5010966140079106,0.5092126021795209,0.7122759448585312,1.3203541845484232,0.8747050046422726,1.3046231707260745,1.26852967015455,1.0136157906646945,1.0039101550129594,0.6849471995667542,0.7905661876931535,0.7307457072728459,0.4589406046191682,0.5336466668911503,0.5307152457521619,0.6323743512431979,0.8308645458302804,0.6110889308144688,0.6097250456957757,0.9223133416032703,1.0375018142629624,0.6879156371274284,0.8022884477718496,1.284123243195706,1.0559264376504678,0.9377427739614244,1.2354714906918531,1.461359076059403,1.0922120132585322,1.1799023905195378,1.0471714275375703,1.2965202976339538,0.8351094714779398,0.8428015264151814,1.0776443394106114,1.0073494944777621,1.6115886949048288,1.1889567766041291,1.761694643678253,1.1515884364008162,1.1975102199527476,1.203099826892222,1.0402184534417236,0.9313114804366093,0.7675968593480187,0.8223107217213173,0.7212445225820544,0.7809086144826509,0.5816430395402629,0.8845095922504612,0.8895888926742628,0.8651831750722347,0.9711246864924111,0.5686796763282566,0.5966725183747519,0.7493883231710047,1.017615669974324,1.3256619332713317,1.5392771318918643,1.6470902962189284,1.2883201955225239,1.494449330116417,1.7198964763664677,1.50758420958524,1.4899029028659485,1.8816033463768003,2.0101435365566243,1.6887284046782907,1.8004226908906928,2.1181721348452784,2.0872473761742905,1.7525405713586986,1.8696443057473815,1.5323744727248267,1.5266395073272165,1.395955322669764,1.2752620703936217,1.273647368266783,1.0587007507933783,0.9731294576386994,0.8931156660973525,0.8453700702817846,0.6658857947411106,0.7101055658907732,0.8465179252140547,0.7104795027974489,0.7510225651239003,0.7435918806278989,1.0472413497852255,0.9181827878726554,0.9185545667173972,1.1753079236124966,1.3323579567531723,1.2111019296299712,1.0310955679143883,0.7814970482873237,0.6491249305289737,0.9614091607519429,0.8741903940422506,1.1027470073462575,1.0498728359481013,0.7153551774055806,0.6129252109907205,0.5312678571805892,0.714698984576289,0.46851398194599997,0.5086417074679643,0.5555157180331329,0.6911367509248303,0.5121822975518485,0.5759660815781924,0.5944826941605488,0.4604574026948787,0.7212571621429186,0.9250227335734433,1.5496093245659603,1.7598448407381166,3.0799321697313,4.204511234313509],[1.355640960521773,0.6669640156582972,0.6381200495079146,0.4697782482348346,0.5050929035819118,0.46554855905488995,0.3886534032585182,0.42702436749400685,0.36030933811518917,0.2726762805987096,0.32948271354651054,0.43308805096692465,0.3156718023924392,0.3267426191966907,0.5034250010028651,0.4482962614664922,0.41739819954740076,0.508045562601525,0.5738315703738195,0.5350245490941568,0.5815991454654151,0.5565874532503124,0.7156519302545987,0.8309462840117086,0.6371302685198934,0.5744703568305501,0.46077661906276374,0.4034576194605368,0.44857222040109407,0.4506531938520049,0.5658920311003911,0.4982114250891964,0.6652507009882335,0.5763023671614417,0.5141649229268448,0.47407287626101735,0.45323520442660903,0.4413986814029425,0.3928127189236338,0.41350909426103827,0.4340370259355172,0.5384711145051415,0.5481286211204672,0.7424255328770131,1.1251668008749176,1.6294553031026195,1.7583965770795698,0.9357343053232198,2.1163356084421756,1.8949691067191017,0.839873129435613,2.0255433124967985,1.0247039465047079,0.5752162836892073,1.6030230563618426,1.0716520494108353,1.4653652969112991,1.5752877119423045,0.9010239033049793,0.8297453876888872,0.7124714880228916,0.6705337624149244,0.6790344027438268,0.7170051121300296,0.5722416557987919,0.5412380218342973,0.8205654329970034,0.6418774022749435,0.7841548352612718,0.682417391580294,0.888610755362951,1.3050153529254254,0.9015627944590664,0.9646642538663411,0.6830062874732539,1.2482038478476913,0.601921390059836,0.595261162123538,0.544569883332783,0.5670253961535306,0.559534158721513,0.6324911783145747,1.047295385733615,0.5511741649659677,0.6123465657520827,0.4746213452059805,0.4678485765943114,0.5136462521713406,0.4897554946488398,0.6117942279287267,0.6024916902652988,0.8527352057993361,0.6892387824195446,0.6518517054225725,0.59389482081293,0.7080819905869311,0.6971183173926409,0.5789771888801953,0.5174418532905537,0.786320029903731,0.5338829330219779,0.6249590839307807,0.4721090122361508,0.5933417386232542,0.7620388520381549,0.6161720862374913,0.8244333062304994,0.6426007149450591,0.6907202886707783,0.7050052706221893,0.5230123133707317,0.40231233444388087,0.3535473870207063,0.35440193173236917,0.37052356992173685,0.3503871741781668,0.36492403162905307,0.42066091656957333,0.5605360722402467,0.5096175773396184,0.45709174264157026,0.38196525693952715,0.3522825563431959,0.3288466534035178,0.30483844389890874,0.36462772242665187,0.5096891381962261,0.4203261464989551,0.453962104097875,0.5814612184695345,0.4904287325137836,0.5358692789882851,0.5057789799306452,0.645167626929022,0.5484253592987446,0.6004378059874969,0.7715716079299355,0.622716347384877,0.6244848448483332,0.5189359025561232,0.5054305624174055,0.6019949404763756,0.5301086390290362,0.3935182562304942,0.36729456326303334,0.38513625596468637,0.3746004583517458,0.3769837966989693,0.36493941129790647,0.3932496981954803,0.48250397545502394,0.5605340375016801,1.2114685219583408,1.7395339049973697,1.1318850493350021,0.6271789459184288,0.46961291182454135,0.5125462175296288,0.41462477400690434,0.48572975836684773,0.3956964508247088,0.36279329306306096,0.39192145809837703,0.36985978627318383,0.5804670048992748,0.5471778383725683,0.6698030274690172,0.9775673900517584,1.1567953069280845,1.1290488234809135,0.7793543644585387,0.5912587032501535,0.4983917746219188,0.44664258501214693,0.3914794120411589,0.4373739127436913,0.42517405564738947,0.6813471357034131,0.4250818184866695,0.56794518867397,0.6492510409176138,0.48660815409041874,0.4885216443654514,0.4854491292272148,0.5118197118803328,0.4909901358161056,0.5048666481444951,0.7061871825312115,1.340434536464586,0.8935047170899173,1.2613236999095057,1.191939344271144,1.0013325613306943,1.0089384987781531,0.7289297971741782,0.7534874302584401,0.7851564973912203,0.5432867784470897,0.5853925407265037,0.6016970227939342,0.7828660334259762,0.9806253275771256,0.7185713217555931,0.7164568549944026,1.0695453495078178,1.1420078615574432,0.7469759635940122,0.9043954532270889,1.4229643708145012,1.1210964600495141,1.0002962372974258,1.3345868834224373,1.5372141847026597,1.107220562924247,1.2096648858421957,1.0974903925022739,1.3860019259402871,0.9370858538288124,0.9641085283678111,1.2226185134134082,1.1905182601137476,1.7290671627029048,1.4314166542615459,1.9813466824172927,1.3672446045537558,1.4222666141950104,1.3998051986411606,1.258387647523577,1.155166330805423,0.9586805440705043,1.0396452135545144,0.9184738321305329,0.9468648813693705,0.7598390231856542,0.941556671330578,0.9418389351476987,0.9021422365762293,0.9249900091741402,0.6499312277244715,0.7535674306130986,0.9427179668429623,1.202468980993603,1.5130605862497113,1.7189750070797725,1.8292952043856163,1.4808231275502095,1.7054365055032428,1.9272979227878573,1.6634921589568614,1.661399621555073,2.078984899148104,2.1965863360335627,1.8451305545276433,1.9861087810299654,2.314388595905083,2.2393107432839083,1.905736336225994,2.056901321354953,1.7103884760705015,1.7273621030084267,1.5939739901972245,1.4964939208915433,1.4781077718786775,1.225561099096394,1.1726339515226938,1.0916847201272117,1.0188598411182246,0.8243601596807913,0.8812555079987163,0.9816148472062611,0.8070542717882929,0.8121900762761124,0.8289341157391208,1.1019859358767214,0.9742893977380234,0.9880790224736936,1.1983781665883297,1.3616620048898307,1.302513805790508,1.100748984968162,0.8346923511691633,0.6999278701679839,1.0433438597029683,0.9703712799986155,1.1544714513210055,1.1243944952961344,0.774901409101673,0.6751257060725903,0.5892092791843496,0.7640330150363566,0.5422622435419451,0.6055879678072665,0.6383272096047454,0.682635083144434,0.6101608325346574,0.6706885489238412,0.655528566871297,0.5247905517435115,0.7763474009817121,0.8901401208398073,1.6215649273864903,1.9713839993970792,3.3232184816481163,4.36127141571782],[1.3388659973121972,0.6021921672791632,0.6004622405534991,0.40950164472608924,0.5012220478171155,0.4860552086762061,0.4322215743631737,0.46733176856368835,0.39872578495337196,0.30779274322498035,0.3586175340535592,0.4845554371231067,0.357748399324503,0.32327332551406046,0.4994602684070763,0.44896471337421784,0.42379393888340006,0.479757409107412,0.5204861620393569,0.49435692636932327,0.5390437740051253,0.5387797574801563,0.6564329207664015,0.7389207487926358,0.6239654601354286,0.5235890995420568,0.4162101488818879,0.3768313914992021,0.4324846004070045,0.45449696353300756,0.5401189375058064,0.5175941677266677,0.6550270623405363,0.5570487766975468,0.5037613409031553,0.45375171737400677,0.46842214838707713,0.4240029797380872,0.3956336046443338,0.42239358087023604,0.4060887999738266,0.48710187637933244,0.5090438407886075,0.7201254447894423,1.091370261255298,1.6154480150724144,1.7608942340936904,0.9187421380628311,2.2238103915579335,2.0859521082253973,0.897962654819476,2.0503790937890485,0.9652843010581984,0.5425620437739839,1.5672396971918225,1.0135759971556124,1.41563092232267,1.5250031246075562,0.8932325973197006,0.8329758854072162,0.6777869566898075,0.6238092150432041,0.6106047649082741,0.6479446655513508,0.5327433683210798,0.49938736568336917,0.7657247833496609,0.5867724198071033,0.7423920287098768,0.6403496369317035,0.87072511585024,1.270705078045287,0.8505979693970916,0.9001580281046175,0.6388937961150644,1.1967992897532738,0.5451464977349237,0.5510101554002541,0.5026289059991343,0.530094080881682,0.5416437256639751,0.6133690222982561,1.040618592021448,0.5743822470279334,0.6329067011313239,0.48498357539289055,0.4553837529319816,0.5122344641713826,0.4597466449888966,0.595611491124925,0.5601123460246389,0.8262615588755586,0.6468366977919658,0.6305112852090494,0.5806279887158478,0.6939799604379251,0.6799383452277993,0.5963737100368612,0.5642691696753724,0.8138460661598,0.5890619907124721,0.6900384519144012,0.5250473356662752,0.63733064608862,0.7632083964440783,0.6882977923710604,0.8686745220420918,0.7119807849413218,0.7632124569962146,0.7452141883507679,0.5826126953595865,0.46140468178528526,0.4054620131613801,0.3731897427779697,0.41458681762228683,0.33822030694626415,0.34431306013538326,0.46504230576155065,0.5389874956163618,0.4762193278325813,0.43811936308564214,0.37731232484547716,0.33198964831247285,0.29242402287971947,0.31677440809469465,0.38684923519608955,0.5491380193569942,0.46363892561904274,0.5300173685792715,0.6487574044662324,0.5417605905610153,0.5884171898066842,0.5755834774205978,0.6858558196309056,0.620952452857257,0.6796975772187637,0.8693632975778297,0.70112571946449,0.6612052923099547,0.5516015931865276,0.5146654918448778,0.5945272185715322,0.5104530645092162,0.3966924879503834,0.3737181290584228,0.39935912096186,0.3816166251015832,0.4300697791097355,0.4082290469382324,0.44359905214484135,0.5231563041085538,0.593090328868346,1.245295104498654,1.6703735031366478,1.1111731695668052,0.6485261054919452,0.5195467430193939,0.5687915803241246,0.45888515328927254,0.5416168995032508,0.46210264449330224,0.4064324306835267,0.44407359483216907,0.4177150487556943,0.6734170957934406,0.5761773134593721,0.752338556626085,1.0773980359721294,1.274907292960615,1.205125035747789,0.8659076469193102,0.6799768433018181,0.5936373328817095,0.49679919585121457,0.43215462409889366,0.48947577540315645,0.47152659997909924,0.721180501449334,0.4568783326873271,0.6281491751749617,0.6692551223213847,0.5541935556611023,0.5439838970081499,0.5270389371244393,0.5576648902787359,0.5002251013793537,0.49519857240086,0.6821011772296345,1.3549464341340076,0.9397729757813843,1.2332361877227145,1.2070969058023082,1.0594936962562542,1.0665241137155066,0.7687165516957516,0.7876758929316312,0.8315201438444065,0.5762376249288651,0.6177685579925776,0.6550652361018106,0.8595445096266051,1.0678846802097344,0.795752514866154,0.7816914690010334,1.1491666438812373,1.2298586239378226,0.8082685267893723,0.9706696279319723,1.5129722849403686,1.212012286797248,1.0616620626343347,1.419083420220861,1.6426889200534855,1.1725906846593372,1.2710278906854846,1.1318905803180137,1.4401623143946827,0.935363060980383,0.9811479256760981,1.2751274308831486,1.2497685517877317,1.754150068821472,1.4940888516786082,2.02213258575467,1.433109747441167,1.488779494019881,1.4880009362866997,1.3218897316727583,1.2359155176335739,1.0356230432293467,1.1023303023048705,0.9902378553226724,1.003411143679866,0.802963075313853,0.9375535159669807,0.9745724275157636,0.9011218722976548,0.9131003436204307,0.6712001807672529,0.8302262533630326,1.0156059808509816,1.2754877510651585,1.581748533817764,1.7935238785637997,1.887199264228228,1.5675250083910781,1.793944732415145,1.9897623266870383,1.7510365608818759,1.745943581066477,2.1555371262336465,2.274602222803044,1.9420092416199544,2.074216292621882,2.397928798895946,2.3336919559564038,2.002477815683037,2.142726832081987,1.794044928031401,1.8109883785550909,1.6775163164388867,1.5703482874414325,1.5503629494156461,1.3057708994609578,1.2511627599794064,1.1552237553934077,1.0733123730110807,0.8815439891201389,0.9360902570212548,1.0009855215654608,0.8148100644148678,0.8305730611654049,0.841193190270075,1.1093825978508913,0.9437663919593137,0.9449449812560248,1.1503517889554593,1.2969600936819712,1.270049633595421,1.0263630498285081,0.8047304732204885,0.6980120694657597,0.9538968456513903,0.9205839569387131,1.0892849394571282,1.094737485340457,0.7850949985497258,0.678994656162468,0.6055153397710312,0.8111487937228633,0.5274012421148917,0.6276245732020655,0.6551013630890902,0.7025772270104073,0.6492090492328634,0.6868994663167741,0.6696518976166563,0.5530567400333035,0.7061220425472912,0.8321116494059623,1.480357047909243,1.8327183554044066,3.1060715668079357,4.191893531721064],[1.4414104392829146,0.6579731708170398,0.6853884630601629,0.43264809673278815,0.6311057088988571,0.5938902511249385,0.5367747590413391,0.523204250022727,0.47376581425327996,0.3968329197964905,0.4084633486713837,0.512706390608427,0.4220840725719373,0.40704302658444486,0.5369479841338453,0.4942390477649244,0.49193219979852143,0.5395491451665039,0.5901628515060366,0.5588569054859334,0.6225460194425037,0.6332218588593181,0.7360393445900589,0.8316472156648403,0.7554775913052538,0.6505078976445365,0.49907849149429195,0.4523194341565491,0.49185062793072626,0.5099143675154706,0.5779041157972873,0.5527219728886941,0.6746894549585699,0.5744980740079696,0.5383681592300199,0.5070856721083643,0.5139088747990112,0.48213527280101165,0.4784736343448204,0.5133750481480087,0.4787676674087572,0.5184986851421692,0.5378687095086558,0.7860497289700259,1.0332363019536595,1.6556286439797978,1.7346418786831577,0.9475651417884128,2.356228782404684,2.2615373401718006,1.0157348670637503,2.196778005347554,1.0040345421713486,0.5587587331860239,1.5150503143043192,1.0421000500851239,1.370904621378179,1.5560296138744174,0.8945703737217499,0.9013538676200894,0.7186909932558291,0.6736480512526546,0.6660110423827266,0.717514349502883,0.6145597946855512,0.5746233458792179,0.7971869415437984,0.6200805085989292,0.7845074943374826,0.6762822385356533,0.8783267001392188,1.2789998004301877,0.879220490797961,0.9462218043406799,0.6742556184191772,1.263418338502745,0.5927276538156128,0.5883181195192152,0.5444744587982483,0.5500240508517268,0.5807298496158334,0.6533810775037417,1.063727239987615,0.6051189619608923,0.7310758110890699,0.5520151144427378,0.521507085768375,0.5525573644837071,0.5047365640832796,0.6170333230288276,0.5900706313967181,0.8584089043090256,0.6749221495798807,0.6454653490176747,0.6005390371474426,0.7045223681696575,0.6943773703196671,0.6024806595575904,0.5759101243982747,0.82288153525604,0.611728939270017,0.7018311875631393,0.5639120126199474,0.6850769129257258,0.782011710303158,0.7320771889700716,0.8997008827969895,0.7902163774533926,0.8498598287348647,0.8064499640935536,0.6725095994928902,0.5473720364520394,0.5095415503876303,0.4702733830570882,0.5266777055329259,0.45049151249099234,0.44996740345553593,0.5765258121674789,0.6677092887589383,0.5581494012456047,0.5400146201085514,0.5014443217758903,0.43011927960601554,0.3970969572311216,0.43501448882767485,0.49453483559361927,0.6522407719042799,0.562722105389083,0.6676514213692639,0.7560438801310021,0.6585129265810672,0.6938251496535545,0.687044786405578,0.7653047372769399,0.7322323792222695,0.7982359659619006,1.0065751775219527,0.7955712408163433,0.7130908271052985,0.6688387389048643,0.5728159629116535,0.6961261922633302,0.5958522954622978,0.48282376738411203,0.467370564458012,0.48126769519701185,0.44740850043336305,0.5271446557001441,0.4934117166494364,0.5041252169097542,0.5773635045602696,0.6260126671373457,1.25276090749101,1.6032701482650231,1.082728261049718,0.6541026840791179,0.5467035350317105,0.6126673842527932,0.5099109542295044,0.6093948495081063,0.5551282749509885,0.49938513313744887,0.5435512308151755,0.519546658405965,0.8240551949477737,0.6869896470237575,0.8940925455654842,1.2341236217490834,1.4415148629711658,1.3226437383717335,1.0069204040136628,0.8128089638574199,0.7244574547593983,0.5531592194339224,0.4983899089753757,0.5563417209552618,0.5346251312650175,0.7701459417629621,0.5252692603514869,0.6934189466986892,0.641001446268389,0.634952962044901,0.6235574682581793,0.5968679408143605,0.6505476987844286,0.5708005891829352,0.5824513249468244,0.7323622502081328,1.4527005938660802,1.0806621515411576,1.2471002338653676,1.3492456222578533,1.1741743669902762,1.1402194942468358,0.8651521281111658,0.9621528196164685,0.9425566742820758,0.7100593201229274,0.7666876388139663,0.7803685529701633,1.023995478822898,1.2183620560007111,0.9421199521724254,0.9509896947163397,1.330361102537893,1.409687626812946,0.9944704020803934,1.1751093349203883,1.7292420549624081,1.436183151635549,1.2926508836077377,1.687311094904739,1.9036175408386464,1.4421974524410874,1.544428169904255,1.3483543893781214,1.6988636414064306,1.1133641596892208,1.178693544776171,1.528555890345751,1.505899090016434,1.9226400691054495,1.7597642840660916,2.2027750049143053,1.6409586011986501,1.677521710789014,1.6484724576507754,1.4652158197848226,1.43015767849299,1.203241808348009,1.224064831667879,1.1525091409754247,1.159193337325638,0.9286613241203673,1.0110289962490713,1.1763523104982527,1.0368052161776875,1.0155885471495294,0.8076999660301963,0.9587289918252224,1.154794288431607,1.4106315948502606,1.707665364581366,1.9352989144613757,2.000817392650282,1.707519812818589,1.9674733773996005,2.1361472549324496,1.8715578084553808,1.9149103934505183,2.340832206156852,2.452800513737725,2.1396698292594505,2.297432858510041,2.6369535945384537,2.5654517501504475,2.2659549674766337,2.4218897772191785,2.054911408447164,2.0518543547431904,1.886404677255051,1.7849440710095246,1.7920007504202458,1.5338623239534335,1.4577648637487317,1.3750281696668922,1.290241142256657,1.0713857085748382,1.1360721373918077,1.1820433616659505,0.9770083055806645,0.9898720632437835,1.0110692848675151,1.2558475935217832,1.0719669675299541,1.033347156063226,1.2227507651598015,1.3132634227167765,1.3207162276852296,1.0335475520509922,0.924940161156334,0.8936270966355108,0.9613353542851528,1.0113895335384078,1.1196972545775943,1.1952075500434822,0.9353837442070222,0.7881576146510357,0.7280480784268675,0.9535568794965799,0.6404295128581965,0.718205365638383,0.7329998103733546,0.7218527891403392,0.7389615716940489,0.7675893808666692,0.7333933777249703,0.6345769510848821,0.6659207623479407,0.848826256686742,1.4288646304347592,1.7970891620131013,3.1065506402956355,4.242447890367377],[1.452096408449327,0.7088682024315731,0.7171568409116519,0.4520647777009549,0.5322055212778107,0.45782464239834,0.4194758304063479,0.5067885115217718,0.3965088690673443,0.3236584303709455,0.38426665955414957,0.5010890060663268,0.3884710198161823,0.3466518933898363,0.5218430966842452,0.45438215809015464,0.4438402294979665,0.4888500729513734,0.5282177445273367,0.49425824863157813,0.53812791353554,0.5340480008870554,0.6548115239642742,0.7453780560458161,0.645124834408993,0.5339725844575491,0.4248354053206286,0.39479817265342654,0.44572006938323067,0.4654773879260245,0.5559537966451933,0.5224489465510238,0.6478181823593112,0.5669755049209874,0.5111832990157482,0.4663627061271804,0.49208251004801334,0.443471409644905,0.4075969923685968,0.43467938252635446,0.4289677360882436,0.5143059405387557,0.5200320247675045,0.7408942626858444,1.138584080485492,1.627869916953784,1.8267489061126758,0.9542166210881411,2.288833478053396,2.2094088856450895,0.97438605928887,1.997851359826345,0.9713923369867877,0.5896739746648282,1.6150742806336533,1.007042704278435,1.4649764112893735,1.459229725668669,0.9138840980575879,0.8326454770512529,0.6677847585619002,0.6345700043291689,0.6231825524324983,0.6323266299332595,0.5410186107056673,0.5120819057270904,0.7775469620712424,0.6033370529035982,0.7598327878448399,0.674091362472503,0.8872044134298743,1.2789241105005602,0.8930714406525118,0.908103091117216,0.6523006914050435,1.1720941085979548,0.5466374935752885,0.5555433307461307,0.5193305581435145,0.5633891480492218,0.5705088957138597,0.6356478962992481,1.0547617756503442,0.6040818781211927,0.6316755894469458,0.5104121080512648,0.4802958909724507,0.5485679702971628,0.47894260929343024,0.6115489364508102,0.56845318402096,0.8201089335364042,0.6584835358687174,0.6403494675024526,0.5941362981035514,0.7132561361873949,0.710968230702479,0.606987777960829,0.5755304361110666,0.8404459101160721,0.5948742815549193,0.7368571050527195,0.5641732625484756,0.6899043939885607,0.8131605798844282,0.7374533164270333,0.959287358433238,0.7675520192206611,0.8215144797536786,0.7877891596596864,0.6081630512176789,0.47508862168744814,0.4140904282721014,0.38517021637184123,0.39845501015540646,0.36380365543420495,0.3629842908331298,0.46469329234787415,0.5218023789949717,0.5004484801421331,0.4570821354827567,0.3932051333840831,0.34388431240596873,0.30520042304627903,0.32353019872705885,0.3822109427938011,0.49567973887626904,0.46576306589934713,0.5370630056842295,0.6397272663263542,0.5707946338594893,0.6321492424299099,0.5914310186177807,0.6821458489867288,0.6120783585493769,0.6533544258205255,0.8408252102486907,0.6817216623455503,0.643347543639266,0.5396274548551754,0.5303661999138032,0.568097062530863,0.4826527987827102,0.40413727650408837,0.3848617846606296,0.4039369462542274,0.39815641511351985,0.42588267114962075,0.412314714725566,0.4670736168287958,0.5696484774450532,0.6014517047382236,1.2069218392449212,1.554955171438077,1.0554824920966346,0.6839803706983245,0.5477415668080483,0.596791960161724,0.47040843801499865,0.5689161149612736,0.46012232490557126,0.4123271561274364,0.427124360244895,0.40899177394789427,0.6385253000596187,0.5675870590690215,0.7432645833127423,1.0953311910652441,1.2924484025036411,1.1990805119549692,0.863277248612003,0.6595545271472004,0.5702743165484429,0.5247886036549884,0.46952395432954314,0.5133891358632734,0.4919320394264928,0.7457268650392868,0.48694508858227586,0.6528840657717723,0.7422356596322826,0.5735170074062412,0.5687625984555763,0.5682169922140841,0.5753968047135505,0.5440410325029853,0.5467291334501583,0.7113121451938688,1.3751343912165108,0.9386686868644889,1.2164554997226313,1.0930472044152126,1.0038754487743538,1.0242737044171506,0.751977516274402,0.7455172738179758,0.81093255227772,0.629162490069811,0.6620870566797323,0.6897817990199072,0.8947290319544768,1.0731005464228935,0.7979979935948712,0.8025168860999325,1.1635887717135618,1.205932282695799,0.8117007782712875,0.9827212546614509,1.5257478403619043,1.1832733882234718,1.0585547726736486,1.4204501739347675,1.6130588426111112,1.1407828112942415,1.25765144458824,1.1051112484338,1.47697574872962,1.0052216422821036,1.0481269893544312,1.32883390432212,1.3351768079378408,1.8009556251753518,1.6208454013024158,2.094985478988308,1.4877169052297488,1.5463378124973517,1.530871228245018,1.3919670396376187,1.3029670236854476,1.0831646592899746,1.1682311470119855,1.053520227276547,1.0525335181218702,0.871609912946695,0.9618320799075555,1.0478510924014894,0.9728074786591776,0.9316270655056325,0.7242741892487713,0.8667126083524541,1.053626802457352,1.3034668757298666,1.6020584037434173,1.8208718473438077,1.8969229671976653,1.5814471533833658,1.8349306942237498,2.0251231894952544,1.7441209382694156,1.7576666319814356,2.188178507328265,2.297140418697963,1.9491706816204866,2.1228038652162966,2.46611876710513,2.364614813167888,2.046846457196272,2.216532625172858,1.8570104211428684,1.8766477712370546,1.726046808058599,1.6324579086207633,1.614557794262952,1.346656867385669,1.2982738715413413,1.221107516325999,1.1339053076803396,0.9337006260774883,1.0082969027697044,1.091859559174434,0.8871512412580839,0.9052222059694283,0.9341343088547391,1.1920917231106978,1.042874383500652,1.0620586032295973,1.3024379395364147,1.4225688944893664,1.4290970447031897,1.152539239228356,0.8574702324178067,0.7608484127597231,1.0959379019141349,1.067038234805028,1.2310939429780432,1.184680935195103,0.8282947393614768,0.7396480286961499,0.648960792357512,0.7862144023750214,0.6302138241704807,0.6656124969012795,0.7272115586329437,0.7598948947844006,0.6706060515501845,0.7191604187758365,0.7406113768474126,0.5668838443679385,0.8430364510404008,0.7803597410480488,1.6156600774863292,1.9824532144251588,3.2960793670253707,4.433350450632101],[1.4622556724085691,0.7087806344886306,0.7186679237414314,0.48493868594527195,0.49858069361191854,0.4390202775992839,0.3988191204539034,0.514512348821711,0.40790994169801403,0.3620089162683495,0.461178506912248,0.5694673914862005,0.46222283474565434,0.42116293123877696,0.627705590419219,0.5583568827081158,0.5087467834920223,0.5878082209518173,0.6240438006074199,0.5914903380087757,0.6096501810083073,0.5935241957911124,0.7176188594042605,0.8008433552284998,0.6829765691000457,0.6137734755230774,0.5098997448539606,0.48550755464244705,0.5395094258265938,0.5564776915357559,0.6670532179500731,0.6203618715346452,0.7519269596919277,0.6838786737891177,0.6207132261937743,0.5766776665192853,0.5829179423366112,0.5343935495762355,0.46214993235316004,0.5035921917225095,0.49812170034092945,0.5995880196068857,0.5993180751031312,0.7845054750443593,1.179429051216464,1.626898660940221,1.7889973621786424,0.9818135579591882,2.165953313690603,1.998368697006518,0.8866368719420898,1.968211596408798,1.0507308772088868,0.6330267344232892,1.6402686267541078,1.1426193972655727,1.698689205920029,1.4030987556887562,0.9403477776766921,0.8446246592299413,0.7289323678838387,0.7379143360987169,0.7469015180737519,0.7498491429502663,0.6172788886218217,0.594401311456347,0.8611378612434739,0.7115777766644199,0.8408309159890343,0.7524287511650436,0.9627723682250305,1.3663001712082885,0.9600162913592979,0.9795056926400734,0.762184157612915,1.2557049445668296,0.6675294413522207,0.69830950225867,0.641140103415727,0.66634249518643,0.6837899775162819,0.718022706106046,1.1060902391685128,0.6728019467835309,0.6645339539406142,0.5952181042004538,0.5623465109322687,0.6520698728882866,0.5893806151870846,0.7089863184909151,0.6892908992934366,0.9122265395177737,0.7833999924956262,0.7629255204592877,0.7052038550806238,0.8210112712258326,0.8168914587946308,0.697633550933938,0.6536604525478666,0.8506887476635552,0.6515488241452386,0.7740590250160251,0.6133735963070415,0.6907294600190725,0.8659776716077582,0.7155363101623106,0.936808740526129,0.7177313729680059,0.7681707327056616,0.7369190752870661,0.5615549622096597,0.463242859061574,0.41273488730133623,0.42286165895547345,0.4080596211787741,0.413802281054987,0.4329879239569978,0.44274421640711864,0.5383434584331342,0.5729821552371223,0.48463170242113507,0.4159787485130785,0.40666814794981304,0.3856351901608258,0.3672044159591799,0.3849594388030444,0.4731703665247729,0.4445632742031215,0.4819165692683791,0.5978070827022416,0.5148549692535012,0.5871651341970837,0.530425982848653,0.6612589296855785,0.5477369454215756,0.5825679119909936,0.7464460115033298,0.617645978004096,0.626896256540835,0.5190310767141029,0.552141816430936,0.6098259312090252,0.5478310983693067,0.4349062534785997,0.4251656282687999,0.4422254828751452,0.4440230434467173,0.4497729766875866,0.4415722966635684,0.4909624792028514,0.5772402892840084,0.6235204007428954,1.2461353206681052,1.5765663442221762,1.0055247368219797,0.7118176449670343,0.5985387331475629,0.622979698322891,0.5302305444179407,0.5962338671661696,0.46094563658484755,0.43494060381689026,0.41730362862711984,0.41977114972105745,0.6074088505790065,0.5510826912042526,0.6534572498877335,0.9586087145004634,1.16017808381845,1.1140841416729839,0.7781151199766949,0.5847775387641009,0.5104442245728265,0.5145912817835814,0.49813226476225014,0.5642670705467377,0.5588378828020112,0.8055740285502823,0.547087744353033,0.6779541600432427,0.7099177209217505,0.5641526937226985,0.5458759776716521,0.5379434703288095,0.5458828557931912,0.5646595006091898,0.5849251972783558,0.7429233785933261,1.32190012493554,0.8798840968015228,1.2407936615107782,1.0751730611748982,0.9228352986741808,0.9721621004547708,0.7223691573521,0.6664293887198368,0.7991081371645378,0.5712274718707704,0.59254008716703,0.6209875428915137,0.8223109427097912,1.0170822245037845,0.7146651822064544,0.706757922396739,1.085819654710497,1.0940119893087836,0.7024264513027528,0.8627888232184315,1.4149867739159898,1.0098470834502924,0.9135256680655175,1.25761744274425,1.3944653636452815,0.9733638231687465,1.0981175145318136,1.0012621111269087,1.3506255577550041,0.9492611031401975,0.9535755039353223,1.2310639939368093,1.2580382382750883,1.8156204645371592,1.5651162887109737,2.12138050297664,1.4783104846216142,1.5696399069999332,1.5481300347882474,1.422101775391808,1.2950494554184917,1.0484200672558197,1.1562023698239317,1.0272663707994054,1.0121143683196032,0.8086867030072159,0.9273464256396079,0.9553928939532732,0.9175881015863182,0.8983982736939565,0.6582435870063831,0.8308243469567989,1.0326092319177669,1.2970477567197412,1.629561512011835,1.8830496180237368,1.9492267954075948,1.5842711263109253,1.848800929145795,2.0743909976656205,1.7433064916880354,1.7220545450561147,2.177802404700024,2.2662524607062102,1.8594375830777132,2.0675432205493895,2.413109437305929,2.237849833736112,1.9294449794004371,2.1442141078013384,1.7741361822876982,1.8328114812306535,1.6878895779548713,1.6162861387421323,1.5707696741201094,1.263012916638024,1.2514900418720398,1.1603509145185995,1.0492983770650703,0.8447827143061883,0.9358539307453254,1.0090690192243081,0.8038414172396335,0.8199059525866444,0.8469160522421345,1.122825635530145,0.9695223346792884,1.0103818849458053,1.259709594218013,1.4032942246352125,1.4226958324374905,1.166419541359381,0.8165416777730554,0.7131456777911237,1.1490696265871194,1.0582429199052596,1.2211561158487934,1.1400024110110498,0.7474971388618866,0.6879538186811877,0.5857593634421545,0.7443650085629937,0.6081907911938973,0.6316579055581601,0.6920448022439909,0.7416392767088691,0.6249495820869728,0.7256865575592728,0.6949248104721955,0.5394102145146237,0.9120609650120407,0.8951344132163809,1.7483062118423094,2.318771384319899,3.7891342884361534,4.828400735670871],[1.4955305989663759,0.7999521882503426,0.8158440931381427,0.562256581348077,0.5596348801003326,0.4923652347598939,0.427346962222595,0.5383773094588415,0.3983761313794901,0.3311478664348232,0.41959058822248246,0.5521816251934307,0.42914028445078883,0.3863500130492757,0.6121818497775657,0.5406886246828662,0.4783677710127845,0.5763403138514878,0.621623822306833,0.5797210970783011,0.6149198064750169,0.6004947714667368,0.7124602493666327,0.7743407894702586,0.6770110452160052,0.5970002334107422,0.4767701846683185,0.4454290559501237,0.5129404126603361,0.5382489217349191,0.6690371101608503,0.6170421856919853,0.7759509430418736,0.7017776077659911,0.6250796999694137,0.5686643935147965,0.5746335936371318,0.510222717621478,0.44650126347444863,0.4872374561416639,0.4552413328968788,0.5594539173190484,0.5703428554538252,0.7771973354807898,1.1217136479346241,1.6125378190157467,1.7500002335902192,0.9650237586696484,2.198983334497215,2.0432511928544166,0.8873370081648309,1.9953281895364654,1.0494962120364668,0.6047165371820439,1.6267291562791797,1.1216918405196263,1.6681133936069095,1.4077346068925642,0.9310491962498731,0.8319135607329182,0.7195332006592967,0.7410169070401074,0.7588849053402572,0.7610990558603513,0.6250175605184835,0.6000700916576982,0.8526589944064041,0.708557709665865,0.8406489766051607,0.7516902557757024,0.9403844602100664,1.3598295648553176,0.9767245850324737,1.020680183635197,0.772486457545227,1.3071615901355298,0.686846694491114,0.7274505884113407,0.6550039736699785,0.6543260122724838,0.672937415503798,0.7129159421942043,1.098833745616718,0.6691003744850985,0.6534453951340268,0.5815564505996139,0.54555972234965,0.6521010064810406,0.583931083400646,0.718674089487413,0.7004732792358851,0.9491774318470555,0.8039352866655143,0.7895076236248995,0.7127581737694703,0.8372089572955304,0.8113105988702244,0.7056280127377784,0.6590769389694154,0.8737483126564143,0.6623016734793796,0.8051508875108738,0.630825653184486,0.722098913737791,0.8776616750980047,0.7680813185617339,1.0107953361906872,0.8058662792730706,0.8653937685942239,0.8118799885678938,0.6444222840017729,0.5094989967785637,0.4319792803873784,0.4100703059749809,0.4017476267280023,0.36578204487481497,0.38117914159297267,0.4467717104944031,0.5558128677578096,0.565046631155949,0.4813280388625063,0.40684541312442885,0.3639348854910105,0.32243038126022355,0.33429468198602197,0.3870669387768133,0.5003487029209462,0.4809742477598276,0.5280070831861688,0.6304175983743471,0.5756816245866813,0.6545338196642885,0.585159963439717,0.6940768024548792,0.5863172255756415,0.6149863212890797,0.7983463696370526,0.6511851619808737,0.6375213094015367,0.5246708974491752,0.5099564561055991,0.5846658514834974,0.5205133620897008,0.40033990893347743,0.3884284306400008,0.415088574736688,0.4001006770003474,0.4391086215449317,0.44189038952231896,0.4900485980522805,0.6090355658283046,0.6289303847860426,1.2213803043475693,1.558285758528627,1.0066240256408283,0.7200637339687469,0.5989441652488542,0.6418732935305388,0.5284190364144743,0.6027099545234149,0.46988621087182625,0.4325591215797325,0.41937615958791147,0.40993927915407463,0.6243630410495432,0.55869564821306,0.6983879799926627,1.0252958550305296,1.2267138446274959,1.165501775924451,0.8203359861728521,0.6186411008300943,0.5360676830422755,0.5173626235735027,0.49709650442762243,0.5751921516719279,0.5607617031161001,0.8203105402806619,0.5498765983647849,0.6883483222950209,0.7268161039113078,0.5900776445609153,0.5764608064684608,0.5754087391024362,0.5722813154670826,0.5544718943725707,0.558701813737127,0.7190228342350483,1.3245698038763953,0.8820046283896131,1.238632967842057,1.0826876566352754,0.9591826035941002,1.0013834552757834,0.7494720555803895,0.7107474046096816,0.8153151777972798,0.6425233068315922,0.6683881053059164,0.6972379093097427,0.8971117117564636,1.0680558370202873,0.7942304628075058,0.8019423735356243,1.1522402121556132,1.1526868684687304,0.8114744364737941,0.9697976065819089,1.4692327596177344,1.0988832477575172,1.036153602188862,1.3505596476856918,1.4577432523596292,1.0958576310267756,1.239591685825931,1.1116659902161679,1.4713683381782894,1.104092353113332,1.1022166064426309,1.3442662988839844,1.375766245366885,1.8416659159573894,1.7055355814700077,2.2045226174645736,1.5354166968816896,1.6119432795316926,1.5799989484870558,1.4620407827192088,1.353793368371019,1.1146582130001128,1.227595708813222,1.094212295674268,1.0850745397984898,0.9153616038562354,1.0002009770236027,1.036978310093687,0.9901626242207816,0.9485800622735827,0.7474020520491964,0.8882291378580324,1.0792479850584922,1.3409781661202307,1.6498708811195142,1.9102248650517952,1.9538187187487204,1.6038246926842972,1.869259175075911,2.085307091560699,1.7474201781721912,1.7388739268977682,2.1885446160897812,2.268151846668005,1.8764696806989698,2.0996093701958918,2.445036947511849,2.2586898194000136,1.975756407064492,2.1926545650666025,1.8394360059537258,1.8858379730201849,1.7333626260871209,1.667306136845522,1.6376980692453638,1.335432549124684,1.3165566574138645,1.2455694333848006,1.154952669978888,0.9434183515631747,1.0341477878863448,1.1333071297750126,0.9260278419022462,0.916433208369244,0.9603053159426642,1.2287725779422272,1.099072053896339,1.1386491188552152,1.404651392040323,1.501053038628226,1.607414337123221,1.263264979741649,0.9214833711131288,0.8193966400526452,1.1895999957307608,1.1261975401945523,1.2962749114916243,1.2161308266916238,0.8442289341719381,0.7762570195423586,0.6614417597034357,0.7479241821167519,0.6917066583675279,0.7401676792509303,0.824830181836275,0.8229488486837035,0.7179425777968657,0.8191115521704584,0.8003527554920715,0.6133873012055361,1.0074855582058542,0.9285277169606084,1.839263750950905,2.4657769576853172,3.9682789170789623,5.071257846857685],[1.6112199189880654,1.0162092135344243,1.0590436081294206,0.8545117208115749,0.8455699248533337,0.7671708927665462,0.7178687850272683,0.8272703011075233,0.654748318905961,0.5861104323235011,0.6238988586197496,0.7460417859507693,0.6521180074674159,0.5717730812462014,0.703292309173068,0.672103064438741,0.6560537338474364,0.6766515088846703,0.6765807992374803,0.6790664467792457,0.6762585345864488,0.6654407030619383,0.7677061093823999,0.8668988371747608,0.7559129425329517,0.6757299070635225,0.6509257212297466,0.6338096781455339,0.6641176184625098,0.7059975522679167,0.7466875618956197,0.7534785564831149,0.8481672394564003,0.7909361490162086,0.7470158731148957,0.7031095222006685,0.7580603552633941,0.7022213639377444,0.6709690399231314,0.7251425370235661,0.7086195881796884,0.7375604272674359,0.7614583301974523,0.7974029672485234,1.2794101250546084,1.6102977689813534,1.894454593153814,0.9805651846447927,2.113327808860307,2.016191410693893,0.986722711817381,1.8392533278160021,1.208493165868132,0.8630207449876091,1.834931002964139,1.1915697040533295,1.6580218846589736,1.4872885427796205,1.074710560852203,0.9227838279207743,0.8095341588294216,0.7986129660664019,0.7846490052020109,0.7829184499115907,0.6918674561756722,0.6929828153007196,0.8903260834112937,0.7613839649547517,0.8415745645535433,0.7818995246115106,0.934408205035075,1.3210606000129417,0.9659588953345299,0.9764015354053126,0.7947584273868392,1.2521184677955797,0.7297134664411984,0.7505724010775945,0.7285254997857333,0.8034916310113315,0.8323774565454581,0.9122108866433661,1.2308486481451266,0.8862397492865104,0.8379098413834178,0.7926780659534578,0.7309254081075973,0.8106488517260086,0.7114953158184207,0.8011806064128317,0.7728372135289208,0.9477720238921935,0.8324401004608704,0.8292073399334299,0.7784824504100126,0.8787872698899463,0.876203015118117,0.8098262665593214,0.8018806059600277,1.0222915200558247,0.8163757130318016,0.984922763549504,0.8245864960647862,0.9171962929979368,1.0425215536432553,1.0197165888595159,1.2256374034737179,1.0712651694049602,1.1408568902635974,1.0581109121084906,0.9263980690287026,0.8108320349130759,0.7392226597547319,0.7258676427418427,0.6368806132977355,0.6279576333156549,0.6056021582030816,0.6059783751824886,0.6269672626844462,0.6635092894476199,0.6076654995137979,0.5621862315915571,0.5593523137771231,0.594467586064412,0.6368416693037348,0.6973192355177467,0.7502682017639986,0.7918458157047387,0.8161867863045555,0.8468629370943881,0.8814858126802991,0.9324297447092786,0.8851064853090557,0.9131597907025917,0.8545572536064189,0.8722288718053764,0.9971779189450515,0.8923255311298687,0.8794898988286837,0.8107625424056393,0.7969274030616351,0.7370812986428559,0.6583201039165362,0.6596499588323175,0.6659449630035786,0.6706046898740402,0.6873606797012636,0.6788808053164707,0.7203832606521294,0.7620848884421513,0.8668049908730033,0.8529134280847858,1.290864138256371,1.5880931319779659,1.1295059517208015,0.8965891353341443,0.7910507601079281,0.8460385727322882,0.7266892606981109,0.8266787822800169,0.7405933780856941,0.6981798322843854,0.7020549720952647,0.6774166142705871,0.7781376604408518,0.8123704843745843,0.9472280141514328,1.26397347550588,1.4155918719627658,1.361638496379491,1.033534504158514,0.8578129126712702,0.7818432090448243,0.7983562753208354,0.7727155572832777,0.8098956894584157,0.772272769641362,0.9803062896341225,0.7927041260572014,0.8927774354578134,1.0169406768715474,0.8425743702652352,0.8549379520933488,0.8784205306210275,0.8605358503670997,0.8401354555998852,0.8157510683051536,0.9471816470015337,1.3696378942934961,1.0265816118064446,1.3968159960575124,1.1770181866241316,1.165876639824884,1.1788506554257965,0.9794696312724759,0.9220626221364333,1.0021175624348013,0.9196984018447971,0.9263659078752517,0.9385457849429696,1.0917879048315742,1.20630859322598,1.0035819988079042,1.0224935532865447,1.3006980699011905,1.2880200332120275,1.0284420225076536,1.156761274808706,1.5740570000192302,1.245034016256599,1.2067124919968855,1.46452858071947,1.5483829913943206,1.2475163950470833,1.3746471687319826,1.271398737822612,1.5860001483371455,1.2942423036165522,1.2888711163686413,1.479934719764715,1.5237981058491339,1.893986774608532,1.860378571459753,2.315308421756258,1.6508211410880091,1.714414469677346,1.687762499174111,1.5745868510450718,1.4900207926039155,1.2942719983955437,1.4011301553898192,1.2849825822858931,1.2959760438164258,1.1541936262984411,1.180448917693261,1.2574326871551633,1.1875770020709298,1.1415695832964277,0.9914416976846719,1.0780462972358555,1.2363213744312276,1.474515879689355,1.7204838443262698,1.946390740180989,1.9747717971243761,1.6730184706800406,1.9275116428183343,2.1187916240183045,1.7864788365683442,1.8022848977648533,2.222068107486885,2.2930231302905724,1.9323214359975736,2.15981041052826,2.488864243519969,2.302875874039049,2.05037307960736,2.260319222429801,1.9299441095319958,1.9700687409713806,1.8276579758842115,1.7665303286409484,1.7416281881601792,1.4692647382522595,1.4567019613509378,1.399247392414811,1.3243963318191425,1.1510539283286931,1.2294097590820026,1.3246989779041447,1.1461490319008283,1.1308054934156129,1.1655916338302865,1.3922640840893867,1.2957406259116244,1.3410927146523943,1.5946344752604154,1.6518874483897736,1.8051851209441463,1.4493385509411456,1.129254678579872,1.0507328853328413,1.3923096890197864,1.3314681699791002,1.4790422942966825,1.3837727718484465,1.055023668884507,1.0219728033601143,0.9157566052517702,0.87761318003444,0.9447087544448076,0.9903431328481779,1.0653736919604289,1.0419201330622838,0.9621094954924806,1.02920080991426,1.0256368751923586,0.8644489035165562,1.2420593011090233,0.9938169193578483,1.9536836422352304,2.511584227621209,3.9729522328932485,5.077215922735874],[2.231693422161612,1.9642825841572185,2.014087529780942,2.0140371612915833,1.85862165365341,1.7050323513398993,1.6081984780353524,1.6269598689518665,1.4135157361378194,1.3494010353460018,1.2662993897547332,1.2885018352525814,1.3331565997214703,1.2539563269179843,1.2393372570145005,1.2478403990612306,1.326590668207272,1.2712120177221211,1.2942367329166842,1.3378386025947901,1.310739395263215,1.3310859909149864,1.392087505514655,1.487809837328025,1.3590206858611156,1.3607696678524237,1.4440663153159607,1.4202668353000285,1.3484147410913812,1.3394300060371203,1.2165869421928455,1.2862106677622094,1.251417161392833,1.2331269220620042,1.2622810590666351,1.2822420021882075,1.3639779804510292,1.4251708618370793,1.46025470950749,1.4772553675656903,1.5563683870648506,1.5210596331052675,1.5189440010906183,1.3946615060655818,2.1605570674336256,2.265086426269415,2.741142008750531,1.5997280143208625,2.08098407065997,1.9607277641894065,1.517527882290017,1.6912841364965518,1.9006714449979754,1.6099932659136513,2.4347004316533702,1.6579918701883702,1.9529909022155865,1.979360827484035,1.663607755499433,1.4811767414989725,1.400214322299907,1.3192350882475838,1.268168701476319,1.2733111593087674,1.2913665937624865,1.2920583744510896,1.413850939987911,1.3220613943838027,1.3339613453251455,1.2556160936229848,1.3859454420605841,1.5952114330267537,1.3180900328277425,1.3223979676815538,1.2067198152566332,1.434872231502559,1.2158329268916943,1.1806327102954064,1.2406625022305509,1.3758785592366642,1.4122613744095247,1.5499949605347567,1.6973168493523698,1.5604541653771984,1.5165386173446944,1.4765751834849394,1.3972219598827458,1.37589760438323,1.2999449155887912,1.2678283441575526,1.2222576398361278,1.2208721885305436,1.1694149081197731,1.1770186139626264,1.1773864988462566,1.1872805813405753,1.2568517805878086,1.2363349090428084,1.2833452331878537,1.464948925254404,1.3485911650743097,1.5551424067352926,1.456373138813651,1.573531625652184,1.7478436828993935,1.7865296336110104,1.9914114314777478,1.9119933419797979,1.9573195132481538,1.8628672878258854,1.8065282809582235,1.703134828176266,1.6096345968780035,1.6336958023998875,1.4644785669134006,1.5414142274220681,1.4597485018200371,1.4099708941937927,1.3136313787527332,1.335866536341005,1.320717138611785,1.3052684035077264,1.4648466570099028,1.5354236033370179,1.5532739245377987,1.6526112164778333,1.6580666335557779,1.7441987058284585,1.701132099113624,1.6447220986297513,1.8078853141661344,1.8089785352845789,1.7839707930684259,1.7241150853571816,1.7140063125751195,1.6938540812293603,1.7812683610731395,1.7392401503808066,1.7645172824957616,1.7440562026211246,1.7771933193040432,1.6270849154189622,1.5339453239465193,1.58136521152034,1.5494751781508578,1.497571556342271,1.5508827491087653,1.4759155320974697,1.534764406814574,1.5521013634845438,1.6185591739617038,1.5205669287510346,1.6293283241069079,1.8782076985146832,1.5395153700115767,1.4319020425452336,1.4128558151357171,1.5136708390737492,1.4285907973465295,1.5565714938047948,1.5928979957564613,1.4924094949907534,1.5926491595380248,1.5230428030562033,1.4140078625132642,1.6661601128076133,1.752289257373221,1.9583357126629335,2.025269014153068,2.0395226157042576,1.8044683204874756,1.6691024281807791,1.5800583395928747,1.667486061718049,1.592662762619547,1.5520611272652118,1.4655573402742337,1.5143611437394708,1.5203379306816789,1.5524487608015298,1.8923969252468607,1.6515146396107738,1.7181110868687548,1.7812478497617543,1.7501918759853377,1.7463879064003134,1.6559542123158353,1.7961325793843819,1.9283759001679524,1.6994880188147015,2.2217753079394003,1.68243591095817,1.8613351015489357,1.9281964735328414,1.8714046401798285,1.7792151871396993,1.8145857254432554,1.8329068110504492,1.8486513627614292,1.810439483007614,1.8322084271278498,1.8176994372730912,1.8009733005802162,1.8564041363745896,1.896762330057504,1.8562398832374614,1.9085718923872195,1.895358734543216,1.9700005001772958,1.8707948561969734,1.9444991510850127,1.918659466420156,1.8955203981351458,1.9978220712186041,2.030720563409588,2.0413385420394423,2.095950468082113,2.1058548807534874,2.0533229293295188,1.99354762571573,2.0138385405611277,2.1720384699101403,2.3125911106224977,2.642503248405207,2.0420292135041995,2.0769782474266187,2.0718248452638495,2.0480273542572727,1.9638883115924592,1.9371514303660686,2.057138470904224,1.9327816581332957,1.9939471241843638,2.0109365576115397,2.046918565896474,1.9817935830744369,2.009891100058792,1.9774673785479513,1.9012590788505932,1.82343153270408,1.871500055662706,1.9914365608146023,2.0787330819191956,2.2451238272362333,2.222895949770837,2.0229585556533243,2.1869226141101223,2.323551711417158,2.084520275765919,2.090696533242869,2.36922022269844,2.4057168917004557,2.133662985497881,2.3271253369547464,2.5732561576994772,2.3771712858016136,2.22177181367188,2.3869012630147353,2.186362691958716,2.220589784133673,2.1382549865798737,2.105516122559347,2.0904835576766123,1.954784166805549,1.9588819316265154,1.9365186691505751,1.9272590454110974,1.8907853064286682,1.9072014728970026,2.009662428326692,1.9872389795025454,1.9620657249332034,1.971311685675325,2.1899924088704013,2.192653647181266,2.2853192293897644,2.513286067012309,2.5522056336559067,2.6903172933897506,2.424950171535798,2.1035683579108535,2.0377621844081615,2.364268125863239,2.2741943070101702,2.411207699839117,2.2332606822928924,1.9780284752532007,1.989977869130483,1.8663100660668612,1.6828462441289438,1.9000437612212673,1.8627145664523648,1.9065597459640826,1.815167879230587,1.808572235618082,1.8708307771590018,1.8421871937132828,1.7200217275728822,2.2066058416607333,1.6940702596235526,2.5312353979129303,3.0682545637323173,4.386483565574111,5.526192031233588],[2.585322099782674,2.4547600200852013,2.3781803380299245,2.714674447507544,2.4284001200477485,2.289378835171712,2.2429902005212834,2.112233672682088,2.0626147471322653,2.1087950603564583,1.993411317729299,1.8521814470451279,2.012427618126988,2.079519969131273,1.9682079645749146,1.9302674438399712,2.1014265156638254,2.0738771347585585,2.1961250309267264,2.1446528541323726,2.181584391429569,2.1575024163985934,2.2331566506574863,2.355558790000745,2.1796102416533127,2.2505958701101143,2.2881257085543107,2.251965533103845,2.0981306886266826,1.9817979678948603,1.8786598121705635,1.81324127492552,1.7235031407233492,1.756930201682461,1.8163047016595466,1.9346559229657905,1.9182311463446482,2.106950964510243,2.1786221338567695,2.114215665444745,2.316289492746093,2.308723806126035,2.2751807638377444,2.132571721248996,2.998002537733071,2.961945650270288,3.5263992422508554,2.3400588762187224,2.381006679469834,2.2497324991357877,2.095143386497054,1.959759195349685,2.520872454190426,2.277968311931518,2.978559258389176,2.2132561152535697,2.2912840522263958,2.5445889373304436,2.257815023174804,2.153266751298765,2.0915401461877487,1.9945215754896246,1.9087477742843244,2.01240894829605,2.087873947068365,2.052086408767484,2.1970019586910103,2.1194292490793543,2.209253597640501,2.0935582226693503,2.255575269055205,2.3582146425986052,2.1151356913294035,2.115314682738387,1.9407290356111757,1.9748179805678638,1.9045505344645652,1.7781168072540392,1.8445658021411406,1.996636023263932,1.9351079572806738,2.095296390599027,2.099286495588851,2.013505101710665,2.0725419939248133,2.01954400738403,2.0228438786015217,1.895215030929796,1.9577751918778654,1.8104085421973823,1.856042224696874,1.8052911887313654,1.7728161502677673,1.720248405708079,1.7824210621396726,1.7410820364117727,1.8774250357696636,1.7370326660522624,1.7572709250439198,1.7431317905988029,1.7413219235408144,1.8071359983393573,1.8145105159609043,1.854621700480636,1.9780292970404076,2.1064674436614554,2.1561810049094907,2.1486959359847297,2.2138338923601926,2.093073845907119,2.1480920318466388,2.1757179810624816,2.1743309172985055,2.304758924308832,2.245213008893634,2.3940244045624772,2.339422618686175,2.3494201530501337,2.2923113809683846,2.2506845571031118,2.2959113070857224,2.2421408493091106,2.450829279757831,2.4383284819204736,2.364521856894662,2.390706137433474,2.234651802485507,2.292562840627927,2.147651926736545,2.043396156925417,2.230041517795609,2.126100242497353,2.202476893436382,2.1010131087030057,2.2221224399505433,2.271751405415156,2.365975259825897,2.466074605572945,2.5981960252425678,2.5399882618607204,2.6930578634373714,2.5467087510485724,2.440617138951439,2.4330536098035176,2.3441618736328556,2.242660350636788,2.3006302259908535,2.130530730544964,2.099566722192407,2.0984497779954467,1.9976639498376965,1.8927208895630654,1.7896264904874826,1.8943817953623039,1.7593809019221731,1.7012778521436551,1.8224576971619655,1.8553199084295608,1.8968302078745052,1.982974153270179,2.162850672684915,2.125765780987899,2.3139453755935944,2.1883734980209284,2.0855744461708654,2.388294318835058,2.412331971358006,2.6288248100071447,2.63467261356694,2.711418958671639,2.441206012291344,2.351472810869659,2.186916251337187,2.2199416081117493,2.108020474889434,1.972353976585944,1.9432111352926305,1.9047459434991105,1.9893466244654883,1.9588177169271337,2.3853823213683936,2.0636302808148086,2.124325946488926,2.214005237439675,2.261930041275491,2.3032463001028196,2.289437667470457,2.4023948605334398,2.5156285052423093,2.3067017596087456,2.7664287787471196,2.2431229568808844,2.3720603482150775,2.399193529852626,2.290773779960963,2.18637294071523,2.263609252310015,2.1652357978869925,2.1506630952029857,2.062849625927524,1.9542406129288572,1.8896733204670115,1.9790313970283275,2.0063251312061023,1.8988815207882066,1.884155465830804,2.091476261434369,1.9041103201754297,1.895435994865208,1.8666713210679364,1.918003284795117,1.7971887528285222,1.8043288858930133,1.9436313967999685,1.871769660981232,1.9968495797157522,1.8973613898523887,2.1118271850627726,1.9916216313033397,1.8504823264082275,1.8827770098963221,1.9928012672193198,2.184329824848237,2.526285057378845,1.9424777281390138,1.9915339462351063,2.0135381276725126,1.977626172361069,1.9149793429232143,1.945654295084667,2.091030039953859,1.9764007061482323,2.080434103662476,2.1595835185920165,2.2002521347754853,2.176475121298382,2.2282775143524653,2.277868728836228,2.1257603087207815,2.0035087879170277,1.9698512615600345,1.9980680751609323,2.0770781388712702,2.2084506124682766,2.207682792068404,2.042668642041295,2.15214569959333,2.2926783336292025,2.06915792397885,2.0501667380708732,2.34146869125496,2.395034044173155,2.094366131166212,2.2743407779149254,2.580928440161405,2.3863962266506857,2.1597883905042865,2.353019751579928,2.0837727184901773,2.127753372956313,2.0558749363734794,2.007479316505734,1.9645393723054214,1.865606948660021,1.8994302326637507,1.8464577232046975,1.8519028302865368,1.9263576092794594,1.8904925641543935,1.994376685433317,2.088171974296643,2.1127479186159395,2.0501101108438204,2.2834133095291484,2.382723899626461,2.540346470819618,2.761133662547581,2.8855990722338376,2.848257531216074,2.709523655638002,2.2996004046067355,2.2789872367921404,2.7675847913059584,2.6859089376202374,2.8432219923803688,2.6677550739875935,2.2876271512415465,2.364050898258713,2.213546543854162,2.1071886554669432,2.230400696640595,2.065860174124083,1.982719549843858,1.9647319640396461,2.1160706593671335,2.070213885962876,1.985872308998601,2.093005184337509,2.4985358393016366,1.7944933676901484,2.4218606610359203,2.662323111587885,3.8229503200231307,4.954341125308265],[3.1186478226686343,2.999528341542526,3.036400033406937,3.0843840074095916,2.8854838658440958,2.630874034523264,2.4902974233962203,2.3915889738613876,2.1593490667998596,2.1207401974879465,1.9384378063996521,1.884194758765131,2.0435115089098677,1.9966459679679158,1.8819762200010208,1.9130438020183924,2.0845631089996126,2.0130741842752427,2.0931094897404936,2.1313641627955735,2.119138668420666,2.155765033658678,2.1753041139975755,2.2900990099853926,2.192960982240694,2.2073827768425898,2.323272868631773,2.2724618957194123,2.12580171182087,2.0617172328925677,1.8294915179242188,1.8768651074428546,1.7568437641079984,1.7690093071564645,1.872557358174913,1.970034658510975,2.053701288846495,2.216752126181667,2.319184624551513,2.333052628787183,2.4745254201715854,2.382135290611536,2.370936808652408,2.232532689188998,3.080740828641326,3.078187624979565,3.6595794236564863,2.4611839834699185,2.469953823107987,2.335858325357494,2.284843378187366,2.1008914353856905,2.7364804253424344,2.4864243352490667,3.208931186001369,2.3557314611618714,2.4040342374249963,2.7034952879157728,2.406651638022645,2.2493179611078995,2.123927418262054,1.9825971237519844,1.8830112491577413,1.934428590404063,2.0442137284242023,2.032925989010955,2.078883212733533,2.0095149712598452,2.0116655156521057,1.9057852552337091,2.0212801340068154,2.0844363783858215,1.8859266733393225,1.917478949987674,1.7965186551850232,1.8592735174888644,1.8427982601452686,1.7325611380919155,1.8668872793394282,2.0508321370986753,2.059702222023283,2.275745882721564,2.3011756089311066,2.3237213845417415,2.345730379523008,2.235987010539554,2.158127162526945,2.035571433277985,1.9877004462864074,1.8318074605186179,1.8009375045663758,1.714486661734977,1.6670137795376605,1.6505478152228192,1.7142983468244588,1.6479262305484152,1.760849956958296,1.7408599965107106,1.8154524689017635,1.910651171104656,1.9071683706544613,2.131339298321468,2.100917700931697,2.2591777886863196,2.4509179697889243,2.59506587604132,2.771787631988418,2.7828414668607744,2.83085548964603,2.693946786314891,2.690518971006217,2.5875307282959192,2.475836696646206,2.5365172973356906,2.340684994558262,2.4601661665784045,2.335614394851192,2.345970338963532,2.1920508067542377,2.150177353114278,2.1759312714434906,2.154754112820827,2.4007031894609305,2.460820712795942,2.467625225951197,2.632209177469206,2.6436386635211986,2.7117073858256853,2.6535970323934173,2.5570638651718918,2.812438005128907,2.7605421719495657,2.7832970678341953,2.6534508005347672,2.7071425991795897,2.6798025205974296,2.8082876361053093,2.7833373887196013,2.8203518573590705,2.753303860447617,2.801990006914255,2.6324330364380604,2.4851875768109317,2.5423754667291405,2.4814345672691114,2.365060572433472,2.4370199835830246,2.3088843604711573,2.3661629138127034,2.3300673146889035,2.363496623395744,2.173055499005411,2.088286858578542,2.172394338016819,1.963551374331522,1.9591258474877538,2.0326028433080205,2.1787475713375786,2.1294556832826417,2.3373205978168445,2.480591160597376,2.3528201086100085,2.5454715993596757,2.4399954787704,2.388109792181892,2.6631147083028726,2.785517688613106,2.983820528786857,3.032997724458762,3.050738185723494,2.8336602135219846,2.6859638029246873,2.5477510351506636,2.578756076250226,2.435330787441997,2.3297836590942684,2.198159006834125,2.212587660623115,2.301912776596259,2.3322025872762597,2.7803214723607805,2.507461283341583,2.6212461273156973,2.715828038594595,2.7064683642099934,2.664235958353045,2.564357767686682,2.692519957982132,2.7583562043733236,2.6287547894285033,3.109719686179621,2.6363401974664384,2.840032688050334,2.9182084679865015,2.871224845754222,2.8202638635346653,2.886543488928359,2.8558229079711603,2.883535129096763,2.7742499699696106,2.75341444541979,2.635903697186105,2.716880132418567,2.8334963729722125,2.7266877302494117,2.6694737902256818,2.918003920821046,2.821622532573218,2.6596233242934506,2.719198000894592,2.858653775508767,2.6776394440943965,2.589455667206765,2.8709234875616962,2.8862588193043464,3.003687514038891,2.8524228684863866,3.1110747896945465,2.9911567818075637,2.7778033848191472,2.7780781364010454,2.743387469524576,3.025711657176156,3.2185154646768184,2.7179753230313004,2.7012284634101595,2.71255836696462,2.7335426181506435,2.7143525665561676,2.811662976634168,2.911964220418012,2.837330969866634,2.9565577121978084,3.0209319363306806,3.029644325191205,2.9908828483666663,3.0435650141391393,3.0033560201494898,2.933402557123825,2.7557983120775167,2.743247426452116,2.7420581351228783,2.6911657317848148,2.709393462994249,2.702902691109245,2.6539121290602523,2.6876198886823817,2.7217378651819826,2.6066194052998406,2.659558593948962,2.754221203169706,2.7592180701314204,2.6426161736667795,2.7486009198899715,2.8799572947487517,2.738193440079576,2.696595923018739,2.7765783701413382,2.7249416194154503,2.731338811434357,2.720064091177735,2.703835728562012,2.6984384088167594,2.712785767482742,2.735562134758427,2.7372644056180278,2.7822939232755446,2.8459150629670735,2.823434434888419,2.9488127522484526,3.0251888823393767,3.0012037779629006,2.982620544069513,3.2115382072957046,3.2867282839144347,3.3855163575681293,3.641201378712194,3.660862981283917,3.753680535741862,3.500610796165149,3.1682651029260454,3.063947414654558,3.414491161600072,3.356078226687924,3.5304949640691317,3.3415129615425325,3.0825430265745846,3.0317770569456126,2.886252798120507,2.662641592488194,2.884049620573983,2.760900832499125,2.759752300377967,2.562571288706439,2.685195213004381,2.76080247330116,2.617923997947397,2.5258030140120713,2.9805030882667376,2.2660862722887414,2.7924124060931823,3.085524028755894,4.273357098718961,5.4686003045895815],[1.9489141826750367,1.5764706249083091,1.6420596196793087,1.491448935968595,1.4160821963921935,1.2832175031336552,1.1784475704456219,1.245494090955792,1.0024473821796989,0.9048342697510936,0.8556598854714488,0.9642686849765137,0.9320096311785163,0.8135720244663681,0.8702312541958961,0.8767049874307323,0.9174060120028903,0.8703239344955102,0.8569714098580782,0.9041162591777538,0.8709194804418496,0.899196320913571,0.9366498768576151,1.043546122361368,0.9348287847647092,0.8861455285821143,0.9522878292461974,0.9420538691877871,0.9272986288367587,0.9641429190742478,0.8991223949436781,0.9689183235334817,1.0205660813473794,0.9519822779215721,0.9486427151945821,0.9212782741505839,1.021490415978915,1.0051337813578993,1.031156594902756,1.092968703578966,1.1001873447308463,1.0463189866223304,1.0771529018435835,0.9961892296198547,1.61718157791552,1.8233505861695531,2.238382634525307,1.2037290201769364,2.098294522074917,2.0276928006449144,1.2310867563701215,1.7464075988336623,1.5215489457032296,1.2217879530110325,2.1254061442381866,1.3614598082375717,1.6876344609223493,1.681986138311542,1.3050159935901766,1.1332640199915276,1.024573743310653,0.9415862280526364,0.9258755338324207,0.9089196472738539,0.8753685461157581,0.8894043645642454,1.0220998768361556,0.8937831055157037,0.9281240002315649,0.8652193781730206,0.9794428367220356,1.3176690048345632,0.9958078342704721,0.9995555730941721,0.8719014341335327,1.279920140979646,0.8610074854155538,0.8755457191727389,0.8962446121703146,1.0259724315236496,1.0802373304683024,1.212836349057134,1.4398056765430576,1.2460738884820226,1.1756162932633476,1.1145688452496896,1.0229019489226099,1.0471419730535996,0.9261426671574922,0.9699298028580777,0.9035654978007627,1.0367832976822187,0.9190259041633378,0.9387751166941348,0.8998046521086313,0.9589072865652353,0.9936322943257188,0.9711571415922279,0.9997167017418827,1.2186147284076496,1.0767982803897658,1.303263725933442,1.1562405726225864,1.2955185639777493,1.4201475023558847,1.496122636040106,1.7125315276173392,1.6330927111369367,1.6933044448578296,1.5776336888073446,1.4846305825353243,1.3191669688187961,1.197634441666463,1.1743218320851978,1.024150545190267,1.0056571306096864,0.935680177673675,0.9363136576882237,0.9069457394950479,0.9105553011580749,0.8830264578891186,0.8621784678206772,0.9112088624687971,0.9763879806570731,1.0549071282655575,1.180763377194699,1.2693249866562328,1.3267585824988644,1.3576000033451006,1.337865819269979,1.460876828908606,1.492413978034287,1.4626793783709955,1.4287551775768785,1.391517597425884,1.369078673595455,1.4977244451492175,1.3768242252746514,1.335424260440811,1.2766994508211573,1.2240937335249602,1.1120704676806903,1.021702111368741,1.0815356177574789,1.0837454278147884,1.0568332822507132,1.0850623083461557,1.0681023216179288,1.1388379162019409,1.1535983738089055,1.2822043184231453,1.195539892166377,1.4634205328339684,1.687241787430553,1.3219751145091962,1.1708896534538973,1.0910575477194748,1.2064173488845282,1.070090347766807,1.2280927871271807,1.2070828089091208,1.1049240588035691,1.1664212513021073,1.1139310289843425,1.1645570990558667,1.236965278922068,1.463491956239657,1.7463313706304646,1.871130287260309,1.8132314319214191,1.5272299522378086,1.3215811919993343,1.25643241342144,1.2704399652651508,1.2021928947393716,1.2113403708785881,1.116536781480235,1.2623576487811767,1.1814378004245338,1.2675324993366448,1.487530247351767,1.315012272402777,1.380194786605571,1.4291417966186715,1.3803930438988237,1.319350335260821,1.2378436357318925,1.3699218355151024,1.5986141430368817,1.3775948476340558,1.7984421956641425,1.4813136494401626,1.6109688876664745,1.64319404513074,1.5125460990664987,1.4669446092283722,1.5561332201565368,1.52622313814226,1.5485354828945963,1.523922369416209,1.649529165620145,1.6806129621284378,1.568078771241618,1.6313737547008764,1.7959689911780095,1.7498458428780144,1.6502878031941475,1.7479203453094083,1.9751414114445536,1.7540507973574102,1.793762117993783,1.932537960026002,1.9376399832387379,1.8152645555764497,1.9453735358296786,1.8757272545855934,2.094131220166846,1.9419005308755095,1.9209273669944624,1.9890009029005145,2.0134585055929595,2.205299601892655,2.3828311309927934,2.7182791988554533,2.0552718548418274,2.0826023032647525,2.055682671078074,1.9847269799528646,1.9187852226462154,1.8387841771389983,1.943478999147537,1.8306503893178412,1.8746226170905353,1.822004989779168,1.8081005812050894,1.7920780407558157,1.765652452736577,1.6913794859927034,1.6407405117313931,1.6282856168766169,1.7398939201691233,1.9150772821841393,2.038712049238206,2.2536675977735916,2.2132099951517676,1.9897398417355894,2.2169683737363806,2.3508137543167313,2.0535552278283076,2.106321936657742,2.4415213499364286,2.487250600497354,2.195619363690923,2.4191783154585496,2.696808187278459,2.509350818324172,2.3429421665686623,2.5218497315479373,2.2808937379589276,2.301374066801352,2.179187473846518,2.139070784816744,2.141581653199744,1.9333821587281927,1.9215134501979525,1.8995079813672582,1.8605298673358428,1.74167588041032,1.8029340020319322,1.8950113865161786,1.7834302534311186,1.736996189938315,1.7851801671147958,2.0032163803827436,1.953878983563651,1.9946224655233287,2.2616204962572373,2.2393684078247227,2.457458405080787,2.0683659845780005,1.7911905292190617,1.6807548902370475,1.9523084263912172,1.9059016994640838,2.056090466081806,1.9279190684830563,1.6885937031849725,1.618097653549446,1.522265746269531,1.3380635794713436,1.5455761703884927,1.5990913657005765,1.6892421626495289,1.5373295160440679,1.5138208538570197,1.6119096761745337,1.5753802598105184,1.367015779619969,1.7494301302397723,1.379370873490686,2.180874073170344,2.6540253790191084,4.033238768296783,5.211787180579867],[1.7217177042740335,1.2034150239179768,1.21360971035747,1.200048089414319,1.1440626067328488,1.1444756205450604,1.1273354220546112,1.136646657371399,1.0929673616007216,1.086875749293167,1.0855789389430481,1.0965713888611135,1.0768431088979709,1.121142560867391,1.141018576758126,1.0887696550108228,1.1326757330755843,1.1472838296833878,1.2076412652877968,1.1583965799196894,1.205461877973314,1.1741906963964912,1.2186150244765588,1.3508299882573218,1.1894933202851303,1.197501806459052,1.1787502064371114,1.1695057396808333,1.1247352190485436,1.0941984583562967,1.1066187331477944,1.0602335393849422,1.1028416894950899,1.0842438897065219,1.0650055152877729,1.081797519182402,1.082161689569567,1.1229886241962073,1.1562738837788755,1.1560085211137698,1.1975824806345232,1.2170001146763154,1.2226880822013737,1.1235665448627572,1.7800983404513067,1.8914509486382192,2.343766332481072,1.3132464463434665,2.200347240610846,2.1400562998257433,1.2911466782942722,1.8676740140525416,1.548863805965176,1.2865895155073697,2.1140713593180767,1.4215497853044199,1.5873050476396342,1.7542451670355697,1.3855256518192192,1.2932191120781606,1.19212739316487,1.1538435937378437,1.128749064813585,1.1868736457455025,1.1818740092774542,1.1513947416628758,1.2925545958997746,1.2127280970945704,1.346340280799847,1.242357363153072,1.4205303069098767,1.6902044507442224,1.3539469161665802,1.3321829196091006,1.179324230126314,1.4734172168358413,1.0939599296616134,1.064813277263772,1.0566626308948772,1.1475860095265518,1.1284899218997024,1.2573719592299542,1.513395915677575,1.1835545246122576,1.2067433136779944,1.1431509218900335,1.108852938127888,1.1034851963199948,1.090283399662173,1.092666566993743,1.1202313349234987,1.244255451009981,1.166084483991742,1.1253904734613238,1.1155739633671091,1.1620026652340003,1.2046093603277834,1.0933537074374453,1.0754910673732683,1.1061080439582396,1.0682847838863723,1.1652407869941621,1.0651026812256261,1.159247289516234,1.1580818907578656,1.2943011495636974,1.3857194947626479,1.3300203966249406,1.4109023327927075,1.2923140581423946,1.2294213095452944,1.1424566076209952,1.1103046704774078,1.148795143011714,1.1647319900287914,1.180851130568909,1.1956846518537283,1.2119204753173476,1.2738754701622663,1.2671685835883197,1.27269766224409,1.208112873957226,1.2391424356152674,1.1914182265208941,1.1468837653212698,1.151624115890478,1.1108322066646816,1.1463312273418695,1.1684094528187527,1.1931255340294515,1.189354689067511,1.1981619131780765,1.2218606530322405,1.2439005499106945,1.2387463167298094,1.2862329466165479,1.4128912846093067,1.3471607521073463,1.3926276467017105,1.3152532816267226,1.3964691750891514,1.3573905619288242,1.283579525730359,1.2465346121503331,1.2065859208196787,1.1723105819748483,1.1792989385890194,1.1020881582519049,1.0954889611659997,1.1020193389283592,1.1318887325021596,1.1089201165287754,1.4879478010956102,1.4717072302337268,1.1857576532521028,1.0867614019208722,1.0589669892429767,1.1067240008176307,1.0404003501316816,1.1455448607380019,1.1368438358357125,1.1264267320662678,1.2002710083077708,1.1400910162116722,1.2477048816212502,1.2616478061766518,1.4365644909292719,1.7477777123028522,1.860725664445428,1.793247245908694,1.476070352959747,1.3018940599948927,1.2264628794333592,1.1668990140900755,1.1113152035341598,1.1048556336100621,1.0852396127870867,1.2602981052319229,1.1155259792440764,1.2129440118736203,1.2743557503330822,1.1620844816209575,1.1670225710674829,1.2048411937436765,1.2418127370852885,1.205952074527997,1.225284838512751,1.3080755313216237,1.6062969203482975,1.3862351272831082,1.6394462012303095,1.5783263870882478,1.543432306149118,1.5118931848456507,1.2658259578295508,1.2605500252859316,1.358373786037729,1.2051709948094407,1.2044813261834397,1.2201855552847363,1.412268545195068,1.5626124815018305,1.324223007304906,1.306861636511235,1.6524884877995478,1.6647736804358775,1.2913277825041423,1.4579583046344509,2.034415923957078,1.6463162242895437,1.5110626866694954,1.9469351346354975,2.1178809518067028,1.5855635304855962,1.7085792637052428,1.50492070117967,1.9140103899867014,1.3842475918073496,1.4616268285001879,1.824272318872453,1.8531448097709906,2.172255799311077,2.2117412896537343,2.6632481169503115,2.042716644408475,2.0993896618767662,2.0658400677036726,1.8843346859996761,1.8289019571818383,1.618460876876017,1.7019353275007583,1.5926938605919239,1.5739530577339207,1.4313767172326777,1.392223445441703,1.4890938706142685,1.3630004386721393,1.330394737207363,1.2456844369576165,1.395513419526543,1.5692711588719848,1.8168556233119248,2.082965758835054,2.3756986836882725,2.347328544510358,2.0717659387300835,2.3824770188517017,2.528875700949086,2.1821523452950733,2.2298674752279117,2.708326236226662,2.7852111339176284,2.4390765117417765,2.691119684021016,3.0650228981820375,2.9162393981027814,2.641398630124572,2.858050437116961,2.449929371212849,2.469893100537359,2.28001532984715,2.2002464077938573,2.1891926352071724,1.8677223864889303,1.8346575573553543,1.7415750524900466,1.6259704932007122,1.4148564439473255,1.4946311830544612,1.492696376212697,1.2871346089871576,1.293385441975094,1.296512105640534,1.4466997327512767,1.3372585440474525,1.3775512228664728,1.562035147398244,1.6456670073330908,1.7325843683627398,1.431261505192183,1.2254337587049258,1.2216584439889762,1.4698526257574265,1.468192933576543,1.584597601817704,1.5515571117929088,1.282011447866797,1.2053352394157062,1.1740492877718913,1.1650022843240733,1.1705863317346794,1.261068921033599,1.3050791320603794,1.2273909882826146,1.2672803074946375,1.2808153554721138,1.2594984815387162,1.18037000806183,1.3154394479848626,1.3122291515949795,1.6034169898231483,1.8561948928408938,2.985720791960712,4.104613039077624],[1.8968744695576056,1.618716187630997,1.651996478703161,1.667873476499116,1.560074494133259,1.451492975994606,1.395141259102739,1.3895273904749326,1.2699423098949698,1.2596695293753737,1.1874856033223475,1.1907879924822833,1.2229765004539204,1.239663649606575,1.203048298719845,1.1824018263959377,1.3059334632922475,1.2636857209508605,1.3315037872114466,1.2895241133068536,1.3300235392894617,1.3061217662318219,1.3380986360431881,1.481566523380927,1.2923701581421874,1.3168008459509002,1.3719527519341501,1.3535455322091787,1.283873646539686,1.246996121665292,1.1628942598804342,1.1919687263482717,1.1600331340631642,1.165957080822679,1.189368798123214,1.2143652691054219,1.238077197004668,1.3348546676784572,1.3912075191726494,1.3899209859661756,1.4784708125736492,1.4484456261559366,1.4649979226869267,1.2501126505658773,2.021387550368607,1.9591761959860219,2.5895323420149237,1.4729348776224347,2.025317195197459,1.9878219546594147,1.3880759218451755,1.6332526612817568,1.79434749174209,1.5736008049340022,2.4191856150201803,1.493427640004262,1.5087791456475437,2.0550446466788035,1.652708800447451,1.487209602128629,1.3735021497127646,1.2423786255315736,1.1913839128686972,1.2740574755327425,1.299688571518864,1.2747214886806528,1.4367714856888123,1.3386288855593513,1.394486575721543,1.3184750948306987,1.4636828749577373,1.661365781319436,1.359021607674416,1.371705186249128,1.2206422570268818,1.5046149103495847,1.2005153411854244,1.1259984362238706,1.1671958070187405,1.2906908371516865,1.2722428575999754,1.4376389880334417,1.6088730364767707,1.373142103510118,1.394508433807212,1.3281887771063938,1.2994390722222982,1.2466911289131075,1.2332164454901138,1.181095109717018,1.2076320499316882,1.228332872486034,1.1669038806813594,1.1394677307539374,1.1399375887728571,1.1562493612817104,1.197390674938999,1.1514796503560625,1.187032633261515,1.2770924347376629,1.1895089935681842,1.333245507211553,1.2469573394252749,1.3294351199127965,1.3881096884059454,1.558314371180588,1.659391141313608,1.6415565197096307,1.7311253070897104,1.5765955853529678,1.5483451212084551,1.4553963654509237,1.3871205249104528,1.4478152795589334,1.3986633781320723,1.3897100765267003,1.3709809380706672,1.42642643814514,1.4318096997010052,1.3774188567959476,1.426730091750283,1.3565872312036602,1.415657565374908,1.4109694371236914,1.4089643236439062,1.47273102147417,1.4603314160900873,1.4964273428357497,1.4681612915865045,1.4364863762683608,1.5657593218247712,1.5589021152094198,1.599813638916083,1.5232719742924414,1.5792846636657043,1.5942766784178803,1.7563781617086378,1.7109689074903165,1.743550585176986,1.6683598607630985,1.6767580025070297,1.6076613587950095,1.5137806608807205,1.5214476506608146,1.4871274250141928,1.4393977641304914,1.4465724482543265,1.3369114939640372,1.3459707386391746,1.3377148958062786,1.3878394134286833,1.297866076802886,1.4750830813057558,1.690314540077888,1.4232212098926513,1.2486171792654799,1.2044214036797474,1.2794250384597061,1.231411095972722,1.353831506762377,1.4163694280274424,1.3760414140138821,1.4974689041536597,1.4124534605164023,1.4992686737759977,1.573599969533966,1.8047630005233148,2.155943728448512,2.2469570270621846,2.1874267828291356,1.8364753936326703,1.631141829038349,1.5126662604089356,1.4723696810627327,1.3878805210263312,1.3324312842818262,1.2861240832202627,1.3896227892224375,1.332020152351724,1.3951563810892136,1.6468994427646633,1.4337026578736936,1.4910172497250718,1.5564832956455688,1.5624941923383353,1.5230073692938062,1.5052700458342811,1.6344686933951125,1.7447434190054691,1.6128083076707405,1.9703125012892055,1.7618640730555093,1.842225308326906,1.8345425518753027,1.6500121494417797,1.5934812091962511,1.6960781960205387,1.5932206329262097,1.5911019383448657,1.5526889215896953,1.6472175027137579,1.680536032642725,1.5731509358016003,1.6082449720485545,1.7592108810906801,1.7413700044072569,1.6184589050867733,1.6806298003582323,1.9731904322061418,1.7381223005376436,1.713722681648115,1.9330269196461307,2.0018676602076964,1.759226002579883,1.8442746208240803,1.7369896057429695,2.0195543746473974,1.7955335032311004,1.7852577807159364,1.9248127729459252,1.9696567726747098,2.1476072251682203,2.286864574491586,2.556765801995636,1.986437252348346,2.0223315753114677,2.013044666738804,1.9166071855465432,1.8825547371146627,1.7925268011161712,1.892305007873763,1.80424158364308,1.874815825912452,1.8050821802871673,1.74912923819377,1.8604767139884526,1.8072290412508343,1.7224531423147573,1.646350608843873,1.6570889677470633,1.7236005872796045,1.8631963324087455,2.0111840155500738,2.223593912364556,2.1831558404343716,1.9976572212173,2.217696882509552,2.3292644227183206,2.0601449311027746,2.104888835669525,2.4535189422208643,2.5172057712488924,2.2462142795856312,2.4455658209449225,2.739964067645656,2.5946749851613107,2.404969579694516,2.562823755030805,2.2899636478032694,2.2927573083787487,2.1528279941464894,2.092841753889397,2.0978309035835405,1.8892994070202929,1.8748310159235726,1.8398825614387517,1.791698330224013,1.6838264133583427,1.7444821407781497,1.8395445578340868,1.7175062486736918,1.7238684349230151,1.7511210499234882,1.9454158175021095,1.8794712322241738,1.9113194750618703,2.1676912055232376,2.185275613134868,2.289860981459771,1.9584234811406118,1.6866112294945812,1.616019651677565,1.9033534827810552,1.9108567242100636,2.0682988932771442,1.9760979503770053,1.71355452814791,1.6344280438457042,1.5681266391218711,1.4386752893755592,1.578816350320941,1.6042419569193143,1.6441551323367216,1.537553118599245,1.5692011642865669,1.6016217787571867,1.5543429248671963,1.4550916993355107,1.6898694405728865,1.3422489890574836,1.9093127964633405,2.1640377700266056,3.3955970697849853,4.584173600912702],[1.7571551459843748,1.2762411643837692,1.3451294416452648,1.1699615898729259,1.2002002113611,1.2098594258374042,1.1673597552656971,1.162539153738204,1.1176877006833423,1.1047974737426896,1.08938168404142,1.1253285840786982,1.0836547077740524,1.1407913087462347,1.2028962167729775,1.1468138145074986,1.1827065137977186,1.215074742993343,1.2568892130843883,1.20201257740302,1.268669559402874,1.2581344355848978,1.2950116786780792,1.3644047727317825,1.3264326812898746,1.2488452736922389,1.1686149955071214,1.1480642338694054,1.1643132829604133,1.1583568641856359,1.201109438175161,1.1646847384795238,1.2144145435066622,1.1666292329669015,1.1676961668599615,1.1604723725169712,1.1630340193108053,1.148011324402273,1.1684793604896104,1.2117536448936046,1.18283100069931,1.1719787980111231,1.212253225972695,1.1705854670425475,1.3002803602229958,1.631247440143589,1.840485840682928,1.216410357925319,2.4369096519343647,2.449456224892899,1.4205269051335307,2.1899443610843305,1.5336459366966984,1.2295529941409422,2.0039646688731843,1.3944519772363417,1.6499974369969168,1.753354893570205,1.380691644182725,1.3527761340160154,1.2617934353446618,1.2505940731284364,1.2441639472948942,1.3006273290656716,1.26337680399447,1.2337832264386328,1.3473127384161396,1.2471264709963663,1.3256190253957256,1.3012111352031426,1.385233539774814,1.714394384570268,1.4587292216419536,1.4718071927224847,1.2815084548204385,1.7108523971122198,1.2171085474381231,1.1669813444331618,1.1619309791535442,1.1898468449553874,1.194452377107642,1.2921351418824143,1.4815949969661535,1.1739371153072606,1.2960704179092069,1.2069825605258833,1.1852892068458778,1.1801887927540933,1.1567880565553548,1.1795158348564077,1.2012147487670226,1.3988535839132945,1.245433407185089,1.2325714447768081,1.203956716952551,1.270440443048144,1.2611649017863913,1.1879373827024393,1.1556407770924175,1.219431657157959,1.1415389162396243,1.1836312438240613,1.1173162333251738,1.1801160816379148,1.185282799690737,1.333150122547921,1.466721561543092,1.4474677539507528,1.5282590338764988,1.3805806325214953,1.312748940358621,1.2003517029152182,1.1606613853171401,1.154797985512202,1.2218834990266638,1.1163559845326427,1.141149661097127,1.262688378809991,1.36455476556445,1.2816932901482898,1.2991278709704104,1.2557869933035553,1.153508952174831,1.1113212042161276,1.1355917983305428,1.1536257063495645,1.2012354967561292,1.201607069337289,1.2496384371692517,1.2424191370586086,1.2643358873623636,1.2714877673341294,1.2909024132818196,1.294422527228721,1.317510034121239,1.3683288516862218,1.5340027443574569,1.4137423429025797,1.3795917838237575,1.3070928234089505,1.2495233704896054,1.2558353400948974,1.2250331585875496,1.1894607827501038,1.1786113634118565,1.185061238665216,1.1286518148758844,1.1559353895758269,1.1420699308821385,1.1284533886985264,1.194410781297474,1.1564833465382065,1.4959020975768833,1.619042346637917,1.295985086961714,1.113730558535467,1.0859266882775016,1.140445606271047,1.075093074853822,1.186672485300567,1.1777785525246403,1.1654638877071593,1.2131959782916302,1.1742025326401149,1.4526842276224314,1.3123534675588575,1.5387234577808235,1.857811811261286,2.0088352798778923,1.902106995564882,1.5870016262211957,1.3867183084042258,1.3333496595360423,1.1538693599129366,1.1247758786711888,1.1457372898890659,1.1253799022494242,1.3104550217085291,1.1467084678221307,1.2436379402828563,1.1781656044062696,1.1892234167101816,1.2010953177011476,1.2404210353470366,1.2662773404210432,1.2103454200450863,1.2468603330922752,1.251561872569093,1.6854431723527996,1.4994863855136449,1.5685143669679171,1.7532968525623052,1.6260581051497562,1.5606916452751531,1.3449709326106147,1.4407096049879367,1.5247540730305145,1.310785792067479,1.3264197130882818,1.327439808738037,1.4965780925768797,1.5843343335646354,1.416218317131089,1.4349317598032347,1.684612151998061,1.6874050315421305,1.4452048641250121,1.5805773897234547,1.96245032337303,1.6870569856933564,1.647261959325995,1.931853777341102,2.0084095307211327,1.7058869640264025,1.8423462925792686,1.6835822959823803,2.0365523905776057,1.6714744158103467,1.695757364886161,1.9156567321537894,1.9457226011871764,2.1828112639471344,2.30371245960675,2.6187882101850017,1.9715830036231727,2.004027574415497,1.9786158635100664,1.8579358105401775,1.83129861550621,1.691265491866663,1.7785471735833862,1.6767729677682899,1.697858089964983,1.601657898719678,1.5754759539862997,1.64773284705752,1.567777103429547,1.4960071676567104,1.4119008480027941,1.4778228843457184,1.60737208720127,1.81198789765017,1.997719685056875,2.220286322806311,2.217723175856698,1.9881093309581344,2.2301688767880092,2.3684442074326078,2.0721571283909284,2.120241663371319,2.4954752269307416,2.567818522809886,2.2728675578906268,2.4702273517995788,2.7802154589981325,2.6291562355140696,2.429644070796792,2.5933794621959447,2.309801680826838,2.311987545749061,2.1611063547260394,2.090683035121894,2.1038375104540252,1.8590097198654745,1.8281337147110515,1.7836094813587222,1.7225905565676711,1.552442879608259,1.6210393224702742,1.7103418974614357,1.5314056139183443,1.5195331595481352,1.5530075926872162,1.7676277588213183,1.6237398726444021,1.6162276697889877,1.8684049951458104,1.8587439164117099,2.042036854860078,1.653451194253651,1.458307748612548,1.3972648407935586,1.611809636960258,1.636178543727158,1.730076210022693,1.7158539629225174,1.472812610495663,1.336821394958834,1.2852665438639743,1.2689463553326235,1.2867501906060872,1.3934282564526461,1.467969762614102,1.3546190885280835,1.3556567804596327,1.4036011413011251,1.3692933084982533,1.2490408250463347,1.3975504567051857,1.3544483206540048,1.8030361136005701,2.143027294796079,3.4523258106509056,4.655728002249685],[1.9411968967837652,1.5343347195005992,1.5130766482190987,1.6105732999729467,1.6734713980258096,1.7588927055324968,1.796949095345753,1.6381163195247608,1.7522781628502364,1.854440636326762,1.7962551884478168,1.6892139013893264,1.7844074036401851,1.9393857250528745,1.923862276765711,1.845699370587614,1.9757185872246996,2.0267669477486026,2.125596169189533,2.0608290877253985,2.1512062766384,2.1390193426751276,2.153850353644272,2.2342333878847023,2.2333488136936044,2.1653871715124824,2.029532702019431,1.98978104110618,1.9456107551116486,1.8509649467214149,1.8929832108740985,1.7657002350852486,1.7741390586760728,1.766826060653869,1.7942105024057482,1.8790231333268606,1.7971902129237238,1.8872719580891633,1.9506745050936336,1.9298455396876335,1.9497107856226097,1.9579763235291892,1.9760486373007817,2.0666515643445798,1.7951890152295655,2.314990779876414,2.0850409536603727,1.9893148583033111,3.3719205493115876,3.4418262869934964,2.3181186873867157,3.1593503191997727,2.0234374056810576,1.8848727897378623,2.346434712416148,1.9698379864309243,2.150737659104152,2.384145412415634,2.0453105430995633,2.1411181918308846,2.0981950980561654,2.040370364780096,2.004753548736429,2.100270353874576,2.109557255394841,2.0502281374006888,2.1736856701323126,2.062861742111907,2.175911194209849,2.1076961522414077,2.2351827691289263,2.426475619985857,2.197715218841284,2.2407904988062084,2.0355766854308612,2.3728422611607134,1.9780587342399423,1.8820911965642433,1.8759733667476313,1.8392380584112358,1.8101727399527023,1.8903069807193233,1.979557785365624,1.771097507713525,1.9352202955983464,1.8354311764885634,1.8975738609603467,1.7878965618331317,1.8813268707778597,1.8065198561172926,1.88129052526402,2.043766254932512,1.8927086261148887,1.8209139116306543,1.833831939831054,1.858314131151533,1.8647143919035631,1.7244595882714222,1.6667324853365453,1.5458496397278243,1.6126338416796409,1.5190475771552163,1.5786813513677176,1.5759126616601389,1.5659911720527444,1.6785169229166779,1.633749094809011,1.676850301315444,1.7468188055950842,1.6297095631725846,1.6526386454292703,1.7124882550464222,1.7512093855925164,1.8243398893897589,2.0004051045811466,1.9464004439562839,2.0002349542667495,2.225990133245176,2.3201900406458043,2.1451901843869035,2.2113791771111253,2.1451052701234294,2.081256323926032,1.977709219483415,1.92205534094424,1.872091851696125,1.778164630207043,1.769911777316214,1.7842635386245254,1.8051012176887753,1.7138717706891753,1.6440735294572217,1.773072945566335,1.7567508721637155,1.9015368658717626,2.0110461106838455,2.1928018839462053,2.1270837925014705,2.1320358586914185,2.072575169984193,2.0859148098882523,2.138661837214243,2.113995295755325,2.0307675958268705,1.9864754400604892,1.9612757656008977,1.9010959671276435,1.890581758167684,1.763741026859776,1.697237729661117,1.5837208258484672,1.5409738262777526,1.7745639524514742,1.765630020956117,1.5693887288562547,1.4564026116178652,1.5634115225071596,1.5644164162193737,1.6499082981307578,1.6777742622391865,1.8213767277351554,1.858305496992756,1.9732719990158585,1.9234538133529486,2.2349147214112026,2.121615818811006,2.2048317951771037,2.4743053227462157,2.607020281700759,2.505252879652628,2.238983692298771,2.13685716581867,2.0454720784793636,1.7624552894284902,1.7227355586886781,1.6849138229591523,1.7060394942499124,1.7857216641757292,1.7272236026427397,1.767774290955547,1.5815784120279108,1.7283279556517306,1.71555494198429,1.7308227226926693,1.8515895339146593,1.8096248585056254,1.9011326360869107,1.938412940810133,2.502353174643878,2.2665549301702668,2.1380774491682533,2.4397199665226004,2.2377138573261366,2.131149936043429,1.8720470920687788,1.9551089954911713,1.9870161510861104,1.6664175899792621,1.6453188188934353,1.6509029460700084,1.750563843368087,1.8801629937166213,1.728796515813749,1.6803543016755413,1.8929913998788057,1.9663564510883005,1.6886524695605853,1.7371080379119443,2.148463512907985,1.9390328037846032,1.7954780399628245,2.093639666368303,2.2739679781455995,1.902667761433295,1.9325494084549948,1.7766241136449115,2.0629540411814884,1.6330599856435244,1.6941598863225071,1.944225029777796,1.9701897308834877,2.199857856873712,2.236817916019966,2.563125237049783,2.0680503477205887,2.1187422867265266,2.133655622756336,1.9706023519663995,1.9635040215792592,1.8083421219643487,1.8447905046945525,1.791161912850433,1.788306435408533,1.6918247978702923,1.7360175150322703,1.8316436381748522,1.7136038647878713,1.7952164011947156,1.632583660231897,1.7657633290226227,1.845558130164967,1.982475291818287,2.2218269931963532,2.4040111307457654,2.46943567639242,2.2630303478950715,2.417448322680361,2.5477632294626313,2.3280283779648867,2.336981077757795,2.6811385436443613,2.7807216057371633,2.501658750135318,2.6137636629204675,2.913853823138667,2.834871005516363,2.5676499295357313,2.684443529459572,2.3909180170745374,2.4008084306025683,2.290400050045761,2.184620633359157,2.169124930333541,1.9863214984460986,1.960250448683162,1.8606640738000129,1.7982944721341567,1.6864430453378376,1.7080048416498133,1.7220914638554006,1.593104983724134,1.6395961940058004,1.629968675311811,1.7342076384380556,1.6156366188710705,1.6087250828548951,1.720291137481054,1.7697813419137756,1.8510318284679805,1.5658462922343945,1.5608550229555127,1.6347681976715693,1.7280369010804475,1.7976884330913312,1.7611737811721444,1.8840042773010033,1.6967736983496453,1.6260071092215744,1.6248300421964967,1.8636200872359512,1.5461837926945199,1.5858204791158825,1.5136906460380974,1.4897261521112979,1.6563618501796322,1.5684851103176363,1.44957103468369,1.6105721952197825,1.4664105799736333,1.6233526064230206,1.6606286345199923,1.9357623019788035,2.9408760160152436,4.167591841612525],[1.6295798209483545,1.2011955064741833,1.2852461060888274,1.20925610251566,1.336446505400471,1.325871331586869,1.3483297698215073,1.259313284228862,1.3131804708756416,1.3880847114145318,1.3604593913796441,1.294101256967864,1.3368237625606294,1.482341856580026,1.487958006065685,1.4118409503251894,1.5124118501775776,1.5820029443439716,1.7207836457997665,1.6196540913208388,1.7176907333457438,1.6962415572186065,1.7639194941644467,1.8265103014118438,1.840882586441445,1.767774940987769,1.5918881205134325,1.5406052841186515,1.49685685262332,1.415887190725644,1.4689666049177115,1.3491389257940158,1.3783842831438369,1.3696697296540423,1.3667425084555922,1.426353841968641,1.3840101422930375,1.4492610714753984,1.4755062113262523,1.4731309662998344,1.497532715717274,1.5329101400761544,1.5349179316116186,1.6376410484312502,1.5961984761953507,2.098798823613477,1.9958841662942812,1.6459992429435952,2.8764822704961497,2.8760320451638117,1.8130186868634834,2.703911393640079,1.9335082549265186,1.4842646612173125,2.010561640602167,1.8159461766041953,2.013777703858923,1.833673418961285,1.561605318378355,1.6643680139140653,1.5853903971904948,1.6000446794426508,1.5705960627440285,1.7153088922789104,1.655051483257748,1.6159551640065504,1.7421611751195496,1.6505820835844223,1.807534648407841,1.7156446364323148,1.858719853149216,2.119110210035569,1.8448673295205489,1.894594714063224,1.6389790179918526,1.9432972046314054,1.5730838487626682,1.4673911932146437,1.4543917799052508,1.4413218274737438,1.3774860251774947,1.477612148103317,1.606764661188172,1.346072789303943,1.5479278428755692,1.4256951343169197,1.4503677604021736,1.4059965254101559,1.4543507617796165,1.4035951237416486,1.4672159371101572,1.6488498776725828,1.4995525568536725,1.4302532027964314,1.4193123322254448,1.461743998641647,1.4797517638989772,1.3321072197708341,1.2902577682210226,1.400290534422083,1.2705980975369735,1.2809441457820354,1.239786381649326,1.271801069392373,1.2611829454741448,1.3256381576057863,1.3973129442536087,1.4040185093224318,1.4694611577726218,1.3344616011881345,1.3175890039151263,1.3026962200385428,1.3254395857771468,1.3713686135876484,1.5277493858770441,1.5083886499228876,1.5563780110642453,1.7734231706344672,1.919776966851002,1.7240976287596796,1.7918937610673542,1.7106589261109175,1.6519539899820856,1.5224522090090313,1.4516840827426405,1.437790649565736,1.36137499444921,1.3363003363434522,1.3308876742070952,1.3362496494756995,1.3152255012797482,1.2738719893279242,1.3217775769064326,1.3502920629789983,1.4274940205093978,1.5232615162387144,1.6815725318536119,1.6487844946266503,1.66299393532151,1.5801077136880186,1.6757743272177559,1.735999389168872,1.6566825093965316,1.5535802396759726,1.5146257785443187,1.4856734548150357,1.4035585279484233,1.425129467157747,1.3319912879127591,1.2955044763141597,1.276698601738778,1.2558930888492066,1.6411776152777084,1.8558364377536463,1.510407355185867,1.2351920650692036,1.2036614020092031,1.2412172341647785,1.2441012612874647,1.3158743035276543,1.3574638930326315,1.397961355170721,1.4785023533968278,1.4454642294276565,1.7489490168658026,1.6036545396088253,1.685065906541403,1.9406397476008683,2.0770425395498657,1.9973716874717893,1.7139310503921634,1.6131579242725185,1.5411841335856755,1.3052711262539067,1.3043528769162598,1.2893485302303138,1.3235689782793383,1.4537875233537516,1.325248050198371,1.3604029512166773,1.2008618331846068,1.2978922519020832,1.274250232942259,1.303931452837529,1.4065226411333005,1.3999466046990816,1.4959519721871937,1.4356478588201325,2.112229729308688,1.8088821892006457,1.7066335269686939,2.0180113281662786,1.739194065049915,1.6248261589808761,1.4845312410935512,1.691617806395413,1.6746068314800078,1.308772436153347,1.3128740514333614,1.3166522883987237,1.400454057882587,1.5055302111396551,1.3682738460201718,1.3446607478746915,1.5662348887262305,1.6089476024549454,1.3629373958055346,1.444680997455894,1.8487977035441416,1.5975569054079104,1.5242186463945333,1.8212198915628963,1.9395262660778139,1.6105052479377484,1.7143984091561695,1.5602148737885648,1.8993754141266372,1.4668086696180682,1.505616710851546,1.7467555776403076,1.7720386113573383,2.0984127874437983,2.084385307823265,2.4253618639266947,1.8114299345463152,1.8504361921544517,1.837383350771205,1.7080528107579367,1.6973707257244617,1.523923266847118,1.6004287849838468,1.489108104302188,1.4883881307579783,1.4397203151029956,1.5202921260308189,1.5789071447555558,1.49821735764189,1.5715143479320588,1.3390617078904867,1.3931771752390234,1.4995984842750951,1.6831859534382998,1.8976770839401278,2.104388019040496,2.1588871759412727,1.9031733359274439,2.107161295734477,2.2759035256060334,2.025257235168498,2.0137732012775627,2.3983237589011384,2.491946598662491,2.18370996013726,2.3596541443653085,2.686010740175948,2.566221724492255,2.3268623426016672,2.4880369006054757,2.179477639340104,2.177102607979758,2.0182655430397247,1.9365546080494038,1.9468022002137597,1.7128447015330757,1.6757844966093567,1.6082553790551133,1.5511520635061706,1.4079508836221353,1.433490749932979,1.5297371414202554,1.3694502871329952,1.405436890607964,1.4107697854375603,1.5704094534770625,1.4497092606801294,1.4520352618340842,1.6431357532818416,1.7071115494577902,1.7870961895663673,1.458976994920404,1.3178720928974215,1.3239833556454619,1.5274962242265202,1.5894166161063203,1.6627747334397465,1.7286925353776228,1.4314705267033228,1.345920689170503,1.3019337952103782,1.4251797148181964,1.2736953054215039,1.3176577391004203,1.3712461980335469,1.348667149459524,1.3327708952496746,1.3312228550259917,1.3357112845736174,1.2826686434062777,1.368976991893385,1.4093739666286205,1.8248050019248836,2.289817246458252,3.7089388334866644,4.892588189475565],[1.4887463704857251,0.9318417511578186,1.0087988794470826,0.6808537740897642,0.8156696467891871,0.7768918007022494,0.766523831629148,0.7890441636927512,0.7718371796307699,0.7734165977090275,0.8064577536816687,0.8230592772658454,0.7741956786873171,0.8438726979781401,0.9231102922160158,0.8555657585162444,0.88227087248939,0.9353888433640617,0.9824720907074665,0.9299355052948428,1.0086558957443197,1.0077817952364965,1.0626894533772973,1.0906483833710974,1.1203661410804209,1.0136480511026984,0.8586198408388755,0.8290653817067979,0.8655314450962815,0.8521496172422612,0.9374130172387554,0.8762960657134194,0.9597866786108704,0.9207779257085773,0.8829819597157761,0.8705053716843584,0.8619385270712137,0.8275834158236287,0.8246216134197744,0.8524525548735608,0.8181367727878602,0.8588638096091815,0.8871145112664757,0.9949894737090923,1.0721517195482964,1.6242062287586296,1.686020279486258,1.0481748596484186,2.45915640537379,2.417859071404176,1.2177929754492345,2.269430074306436,1.2724933541917347,0.874946017931654,1.6884512078665843,1.260135958606903,1.5426495190898593,1.5577383979251238,1.1052294900488637,1.1306253976736138,1.006935914471948,1.0200849847081586,1.0227465195187468,1.1066666267979166,1.0070910417006556,0.9830232444632383,1.1377215328221626,1.0184896395818221,1.140331623369913,1.087274654926172,1.2295912485030474,1.5562906038909154,1.252546826940486,1.2612752883445106,1.069048593645876,1.580255713199031,1.0069663547258132,0.9834566911767197,0.9299289493377608,0.8941746187166669,0.869876495449972,0.9375906909115627,1.2399508453236365,0.8487101476847791,0.9999280099569905,0.8681675953873205,0.8574969815711838,0.8900306897558531,0.8827789898964583,0.9537620756211778,0.970071797613177,1.202197964157216,1.040679268450114,1.008598440581495,0.9549375695130583,1.0470947660062537,1.0230898581293282,0.9093862503647178,0.8672464699373055,1.0294745798248388,0.842553907134474,0.8981727007111334,0.7930529071893977,0.8814727163713686,0.8753761669798689,0.9496349054714945,1.0930991797766996,0.9947087100438722,1.042729273781068,0.9649711225963826,0.8694921525531348,0.7710921749254973,0.7553211523215609,0.7416012174455753,0.8507087133211522,0.781427942731627,0.8122747024671956,0.9605109472637363,1.1147824444752739,0.9924213289205109,1.0128551469601077,0.9535977187944229,0.8166926336043772,0.7519751665555946,0.7555242016682647,0.7546723771972873,0.7841283974487531,0.7590385822206289,0.8173353962822447,0.8828785318544452,0.8501222901011125,0.8810076718655934,0.8590064543274486,0.8960112396530463,0.8974159316615782,0.9419485113881921,1.103130486865255,0.9972685657512851,0.9758558250580309,0.9128424931238063,0.899584580432272,0.9683071798026384,0.8977233219576902,0.8122706351869644,0.8052226120538436,0.8168041288005452,0.7359470661155815,0.8123650807007192,0.7609451621332353,0.7482207954494039,0.8103360870018232,0.8067924719769388,1.3378065706157996,1.5507222347237197,1.1448268542519418,0.8200647428731871,0.768774988739213,0.7952229979344783,0.7466738092948526,0.8271763514388077,0.7981159128315667,0.785285336665673,0.8119350685330851,0.798731831925429,1.0733855993427255,0.9379660813141065,1.0721947155931681,1.376737804215928,1.5542191539560446,1.453129642202928,1.1390499623816124,0.9925087468230028,0.930421154613132,0.7633544257442874,0.7576124337840343,0.8010946983383833,0.8154568697613896,1.0142138206109843,0.806991119178619,0.9291096872247248,0.7987582486690588,0.8231635728880174,0.7951003430940514,0.8105767613327689,0.8824557882326893,0.8462970569960108,0.8792371980823016,0.894383850610347,1.5343683729017954,1.2231265830922926,1.2962571724066017,1.4392009680510207,1.2741539058068212,1.2488895735887737,0.9983386953246214,1.112669031535757,1.1073540434448441,0.8988749723952358,0.942832387793249,0.9520614057523721,1.0666743130196326,1.182507883444973,1.0039769172082575,1.0255044067515962,1.273592571339392,1.3053186734061635,1.0658418210591567,1.1692742272496481,1.5866670109567438,1.3243514426911704,1.257366372893833,1.554668327636515,1.6875050696677452,1.3556918878027624,1.4880779782170959,1.3549929983059916,1.6984062091224978,1.3186621688648785,1.2910117495129374,1.502739845635602,1.5231399198339601,1.8806263479603635,1.839769819047977,2.1900018051078165,1.5445867065043881,1.5639625714734153,1.5300504757005704,1.4155575424571658,1.3968171649124084,1.2239853349865102,1.311306978804647,1.2264520583400136,1.2737133899123914,1.1511714836540106,1.1911020961734666,1.3324892521747733,1.2585286359154304,1.2405611036798645,1.0210377342475792,1.0438478440679948,1.1680127053409073,1.367317066818501,1.6154092166349792,1.8261847453732503,1.8907674835556454,1.6087789906235683,1.8252525485544726,1.992306780840761,1.7381860447885018,1.7460345702551867,2.1407722594864036,2.241150540977874,1.9320102030059778,2.10393345690607,2.42253014786606,2.314163107914011,2.0555132579472573,2.2158761528563278,1.903143340033757,1.9004127041022505,1.7506081058971505,1.6694289992758817,1.671686627163087,1.4421597074925407,1.3991898407908931,1.362121547134742,1.3156586722041055,1.1371088546957002,1.2059378710955009,1.3501242652989074,1.1702549817436279,1.1798551281230163,1.213068801268459,1.4333922886588417,1.3286978088734873,1.336831488830268,1.6016829406854807,1.6797105293424082,1.7200390278426885,1.3766530912299564,1.1015520160796721,1.0412397422996442,1.2809396534558128,1.3137710495060984,1.486271811574188,1.4653878338592687,1.1407624318005796,1.0239852202322124,0.9335163548903579,0.9687012943874982,0.9333499143557092,0.9263619636111919,0.9960710749336215,0.9800569356935087,0.9154325299331282,0.9435069896633632,0.9905145149093268,0.832670043368892,1.06241828340366,1.0097550979879135,1.5862341228839987,2.027121682027847,3.407003098957692,4.640149106824061],[1.9638659582777291,1.6622249075418323,1.6418161660006358,1.3864048694917983,1.286072409941064,1.0804207982683356,0.9802620626884563,0.9493143839376968,0.8947985741579486,0.9021612947351606,0.9622786806125858,0.9684698481939754,0.9202815668011449,0.998218841925462,1.1061292643854943,1.033024804330488,1.0115660641590383,1.1094131652802341,1.1943438898703251,1.1260665804210408,1.249600562807884,1.2356901725891805,1.267438845119372,1.2852251848337501,1.244235804732343,1.1839574759324376,1.0502056157280983,0.9968359145100267,1.039911674094273,0.9931548924468752,1.1637252081789664,1.0172549079350455,1.170079702386042,1.161510113260616,1.073728342897752,1.067976832145698,0.9819237308916028,0.9845184568127059,0.9769828848026872,0.9656937058697407,0.9788450738359972,1.0107576827219138,1.0439284635756882,1.1125762467687064,1.2952503408400344,1.7700205462449246,1.8787828035431944,1.2087388141012774,2.396599848551773,2.3269611188536166,1.2540214864941306,2.2202298375080147,1.3064448112403948,1.0278047724127157,1.8113905367551448,1.3881781251799215,1.5402094742155539,1.7327493585536105,1.2518325654086149,1.2649215715334428,1.206510295761648,1.25894555813736,1.2901125273973535,1.3845795608254017,1.2523722847650078,1.213325327866723,1.356542836258267,1.2381521024701625,1.38492934807188,1.3192159445490934,1.4278614516871737,1.775994394337286,1.526393792757421,1.4967352920413564,1.3605786379344438,1.8940164210674948,1.2779127109025454,1.2869672674981352,1.1663566924948745,1.0783570403560427,1.0095038189537113,0.9899821334584483,1.2883055230012874,0.9951034001533512,1.0705333836710196,0.9334791944828161,1.0153519252876573,1.0158805377161013,1.0926717991473995,1.1845931421604174,1.2465714323096584,1.53648567881322,1.3781241007429317,1.3101721247351699,1.2022690682477286,1.3378387799228724,1.2394999976904955,1.1095238313866733,1.0005568180963365,1.0767844855375224,0.9284011261205882,0.9448802317900703,0.8625369220746311,0.9674058308175565,1.0179244078195773,1.1568995613855355,1.3240088448830032,1.2825400291565061,1.3416510381829527,1.2145965744142762,1.1446049456235994,0.992183312445822,0.9349262453776003,0.9718341932166185,0.9601679789626273,0.9902464383648621,0.9896720391531328,1.0933656435840173,1.2796956891298894,1.143942893762459,1.1424326267019864,1.0682618633613086,1.0007713398653655,0.9573801936400398,0.9590921734702811,1.023386196482112,1.0228364305255018,1.0500320799880838,1.1039735670103903,1.1017279544454113,1.2457766517955544,1.2814553806775366,1.2123159243092114,1.1440763020666835,1.1451065834614989,1.1106885995274733,1.2588593066043878,1.1548246901232322,1.1655014738771825,1.1031681709791619,1.165457614782428,1.1763839844001225,1.0719472493099413,1.003619600159611,0.9784996659694599,0.952300862071366,0.9336065563836445,0.9133340406470803,0.8854800475371027,0.8710286241358841,0.9248951357253293,0.9034715395634448,1.3391755020578984,1.6265838098615886,1.154900529549928,0.8668860709874259,0.8542715953727772,0.8803172800589393,0.8455155271717063,0.9439251229735476,0.954617218466848,0.9183752357906813,0.9891978838359202,0.9644627194149469,1.0597670069603717,1.148067274076439,1.2020807345877562,1.4685250774317404,1.6165111805241386,1.5384165400564593,1.2808752860424382,1.146222613328889,1.0604142166499866,1.019147656435032,0.9307368564560999,0.910317703434572,0.9052826485190756,1.0269709655074246,0.910026049913741,1.034092735796777,1.1567655230571472,1.0239607034007536,1.0561977265596127,1.1014820578533784,1.1141255684286147,1.0586706002248016,1.0155618772048471,1.12335989834272,1.6578479065081138,1.3257095430253207,1.6062365977381419,1.476276423375141,1.5050973234998388,1.4686575160479998,1.269291202100774,1.323365612350226,1.3373946275534148,1.408072559931063,1.4901389193889971,1.3946119909683217,1.483256582706749,1.447415157700763,1.3620036015010446,1.5265067675469084,1.614781851583526,1.566621165005547,1.5956223353976071,1.6778739600877335,1.7977311191328302,1.6419515968492924,1.7399900768366947,1.8555009376447542,1.844098668469716,1.774643037226818,1.9673698562592703,1.9161478871094766,2.190745991766645,2.130514053803708,1.9808964427115465,1.999794004265963,2.034053022983256,2.333882545921804,2.28144408191963,2.423725682941901,1.8520255769109546,1.8069280592923174,1.7301347742015778,1.734303655533697,1.7602803354088365,1.6663132483154457,1.7170085764273761,1.7353955818702682,1.8356753677259312,1.7288684276675188,1.7335641860691409,1.9125743340756853,1.9224506271445572,1.7637037326357665,1.6175117323772676,1.4199771962123133,1.4973110276003903,1.6234917400857554,1.730485310134342,1.8808575117063546,1.9131591125121035,1.6824663406522917,1.8869353833955107,2.0185824671103183,1.7990659822108397,1.8378753533353756,2.1645523741461776,2.246674791383512,1.9941501772244223,2.1703536003932618,2.4323545236321418,2.3166268244174755,2.143266445505548,2.2874928577097227,2.087253531206321,2.057234407920885,1.9078761394314772,1.8880706260383942,1.9453925335246807,1.790847740164519,1.7502674016551132,1.8398323172313893,1.8613810647717377,1.7326391462737634,1.8437938382297372,2.0975057291235935,1.963419836449582,1.9192071581814867,2.0369136127729033,2.306573707899786,2.2320159306223384,2.2252829986185594,2.5881508110625764,2.6342052654221915,2.6260188063087155,2.2751305490161657,1.883604101857438,1.6723295859439178,1.9747349034478823,1.9561909671365043,2.2600417596060347,2.066484818284562,1.769089234153028,1.6053492542959407,1.4447572323428193,1.2492965481224325,1.4197060649471227,1.2757876143397042,1.3487874488722829,1.2378386438269995,1.228092146878471,1.3200511941076434,1.2840690644243673,1.081791263752491,1.484704369966824,1.1725253379760723,1.9139197185602181,2.310927875869636,3.7458134831733325,4.988278680938757],[1.5370535683642934,1.009427712892677,1.0726867426769278,0.7630199592070721,0.8237090709349771,0.6913099656356684,0.640018754367792,0.6606011824884139,0.5653037979785606,0.5049802452024468,0.5300430324557774,0.5926445570782664,0.5273380703774696,0.5435163538785595,0.6710107241099333,0.5931010556413325,0.5901189988223664,0.6620698455792862,0.7541058151433574,0.7013001402777966,0.7879565426513955,0.7887748150709266,0.8754222600554645,0.9648003505475591,0.8821504450743339,0.8109508218790448,0.6524377133900342,0.6054185251306816,0.6157019168374177,0.5959855179118774,0.7338433903791435,0.6485166829497949,0.8573751929434267,0.7591307302358095,0.6833352262681337,0.6429866544354821,0.6194613103544606,0.5829106277397195,0.5715641819491167,0.5900427001836532,0.588452638489856,0.6399727973388628,0.6581902554791224,0.8946205961864971,1.1696881443294505,1.7403808741801496,1.7973642223303052,1.059408217198873,2.354962586149765,2.2340917006696026,1.0445760203354837,2.1588293526755225,1.0714247204423482,0.6660672143045774,1.5994543214309933,1.1579179640061743,1.5306195916563181,1.5479225383910187,0.977547625754121,0.9312884263812755,0.8076746972182031,0.8181449043051413,0.8260041569173484,0.9182731307674817,0.7664481770186419,0.7210829033677834,0.9380678953779065,0.7691911658143693,0.9632795545530545,0.8238282135744922,0.9941600740451723,1.3967767026690074,1.0355381209837522,1.0882498641670004,0.8379744328831114,1.4083508700713692,0.779438598525478,0.8171375055816488,0.7230946312066434,0.6820668870801863,0.703771492612407,0.7190653460095785,1.1368012725369805,0.6964791199220691,0.7743956363183813,0.6350321391975773,0.6291270498743567,0.681278921247173,0.652198228066136,0.7846970716900447,0.7620567401612337,1.0385286989560276,0.8723347668981833,0.8580957764652256,0.7682924392710204,0.891498053456344,0.8407864474095327,0.7519615600717802,0.7019085491445582,0.9582178149222834,0.7199235221165282,0.8294975091033525,0.6818081149255829,0.8087259418315681,0.9096201837931909,0.8494663815669015,1.0256453184967913,0.9089090463700749,0.9843510965404463,0.903480496045266,0.7901179210686841,0.6578550778435399,0.6011097280250154,0.6075392003115916,0.5755540310153655,0.6371619106639225,0.6274633454715033,0.731829462127188,0.8318183640620759,0.7324631878114181,0.6980747419600116,0.6511210857975921,0.6702266485089521,0.5901002396965966,0.5952094491671294,0.6614710401488708,0.6989595168017554,0.6793179036916625,0.7467968903855297,0.8082688435645943,0.8260975982556038,0.874973389006008,0.8133603740180292,0.8448069431892737,0.8113107518286904,0.8171858512214746,0.989202492379843,0.8678512565336948,0.8685868180555959,0.7691632842549996,0.8276301588965701,0.8944528794028024,0.7542291695389325,0.6519026628262721,0.5889457070551303,0.542661912749735,0.5760351395949539,0.5924627085922709,0.5774237239692876,0.5884030051631514,0.6977088514549002,0.7165123608581423,1.3250967375981102,1.6491621051897791,1.1000902412652935,0.7741834340216708,0.6527511754042188,0.7157994955448334,0.5854341461652758,0.7099585263037951,0.6320583076354607,0.5606050413055419,0.6181353156907851,0.5832787791118444,0.7732603482927866,0.8048194402975415,0.920162484699154,1.2529276509275344,1.4402153082498235,1.3434553678238117,1.0299659991377472,0.8437242562851043,0.7365019121185109,0.6666187790896329,0.608548741661139,0.655978082300156,0.6263851940421699,0.8656868957956008,0.6196791476560298,0.7659384448079422,0.8074145696279658,0.7239973280556975,0.72287221367847,0.7431369005183216,0.7695994468533454,0.7012867451242348,0.6835658064581388,0.79535274638292,1.4821321801245428,1.1184130955941136,1.2947129132095827,1.2826869707139692,1.187982131411316,1.166811003534466,0.9284278744336734,1.0281627024397906,1.0184809458149948,0.9064484845537815,0.9697867436297806,0.9492099499713744,1.0728056320003188,1.1807993890089281,0.9882734414475893,1.042463589698284,1.2824669461306641,1.2919247084866126,1.0869321928127624,1.1825523982943211,1.596916388039096,1.3027012264665736,1.2648910945631837,1.560899562427745,1.662070937503592,1.3348858975148405,1.4785819277923142,1.3837990228100305,1.6854082176579515,1.3748595041322924,1.3300717758846388,1.5442893411223866,1.5869153267381926,1.9744108040942838,1.9047428503434278,2.243417523953299,1.6135405011677892,1.6540343683401482,1.6085066542507254,1.490428142727887,1.4655240677217716,1.258069552888661,1.3387852606165667,1.2496832787900236,1.2899960323886885,1.1692889696311086,1.2250692991711702,1.3900378354341312,1.3199785539829767,1.2815514094472322,1.066109135691235,1.0307248069020116,1.1825348836402452,1.395177304173123,1.668786257943783,1.929134999428722,1.9777440741068237,1.6448965106231024,1.9057114612619201,2.10365015524121,1.7844864405646552,1.7906069466189414,2.2325754296695792,2.323784383489713,1.9572829289315783,2.1790986950659432,2.525756943925091,2.356981392586677,2.108728774365307,2.3124363671173374,1.9691671915657822,1.9831944909216015,1.8048551462201785,1.7362112983922815,1.74661092280191,1.4709127967785636,1.4319035567749547,1.4085422093417472,1.3542065283794988,1.1708631468473016,1.2502769568500554,1.4003759633341246,1.2476119873513323,1.252775568542432,1.296236399922026,1.512210382335972,1.435728424666007,1.4534175068782402,1.7468338873057174,1.8313281602259592,1.8256951521846605,1.4983735091751673,1.1783449238021029,1.091428227406602,1.3957099848002217,1.4250600069817838,1.632784389239577,1.5843139326248112,1.2136652220575828,1.092845739990976,0.9579629528504245,0.9518490740418666,0.9523450997302594,0.9146246028529125,0.999107797567314,0.9328487005120027,0.8687092842066815,0.9486969554389539,0.9454037571567258,0.7566563781999965,1.0778685565498913,1.017112348452882,1.7078837557508912,2.263583053819057,3.7760555961307802,4.9308515404700035],[1.5687851217228417,0.9530644435969814,1.0092411311540703,0.6967718183301911,0.7860523107622774,0.72085126657867,0.6658577210750384,0.7039344128926638,0.5993970110020146,0.5339710359902052,0.5585769723087601,0.6420598564724321,0.5630597798989069,0.5569646051382424,0.7139046606760354,0.6385654442714566,0.6182325550639699,0.6919286545659366,0.7273104258217395,0.6953225220681685,0.7358993044026071,0.7166429339369008,0.8185144825236443,0.8970565216878141,0.8195150161422403,0.7373736257348984,0.6283682188767522,0.60174152714913,0.6313237369275628,0.6545477534382308,0.7580270298834514,0.721928472886831,0.8907569288336434,0.8091004976902672,0.7234759502789934,0.6841799764044737,0.6955576218943664,0.6414900916024961,0.6045124703282798,0.6520736138622785,0.6004202534700126,0.6630623868863335,0.6790685169114798,0.9155750826510818,1.130414838707407,1.7078642351297053,1.7432251881390526,1.0695672123436684,2.3722774078118074,2.233419839444753,1.0712833956325902,2.1708735722125545,1.1089844124108863,0.7241701635431619,1.655667509088332,1.1713096497260453,1.6505902325604966,1.5343025496923728,1.0310871199278648,0.9565547310715016,0.8110649533190684,0.8357882018965205,0.8370837690444717,0.8551763927247424,0.744696328859663,0.7256545077584884,0.9234749482467008,0.7942205070722392,0.9039172501124226,0.8257087849402265,0.9493367112456758,1.3727929365842169,1.040630702427513,1.0894905833366624,0.844466610700873,1.371173457783055,0.789973798097829,0.8160081434542448,0.7544037880325005,0.7521488749815636,0.7857494785566547,0.8377956793123612,1.1424266359967954,0.7360006996968373,0.812735612632904,0.7248018510933811,0.6798275415184332,0.7551764618842549,0.6901346432671297,0.8044122220785452,0.787623565315455,1.0190107396660015,0.8784819495708144,0.8767546087851847,0.7997958803549331,0.9055318415733846,0.8619951850693466,0.7941450299270564,0.7653518088789939,1.0080172676058117,0.7904590387205167,0.8968417466853364,0.7535105907148527,0.8500381724770413,0.9674836598977473,0.8651763749445515,1.0489576839274966,0.9107511598073782,0.9975308227764899,0.9245050065736942,0.8060340573132033,0.6968849506104937,0.6499231433815829,0.621416385144314,0.60317467049503,0.5770768224273619,0.5700750308229777,0.662992336816843,0.7102834146254443,0.6884371601794153,0.6299877400436104,0.5966725434910721,0.5793781697137715,0.5206486025607849,0.5815321461578836,0.6433604962088224,0.7476110509644696,0.7047664191844493,0.7793425141304678,0.8468083909250931,0.8308977280505618,0.8881213121516202,0.8336151735922569,0.8822958298745188,0.843342967608295,0.8603450016857662,1.0187717514603924,0.893148197542112,0.8531900262567153,0.7415791761801979,0.6951486870390019,0.7571503078461699,0.678875596145977,0.6055374727481175,0.578978820560419,0.5805328847240372,0.5803390616748352,0.635163707564061,0.6349264158408067,0.6484818129644858,0.7579444576139429,0.7552160497234564,1.3218452172045072,1.6442946996015975,1.1283004290167449,0.8237282744117097,0.7011297202411471,0.7600248856874253,0.6484208848699332,0.7571186673743567,0.6698592655124808,0.6230232870673803,0.6374037505299656,0.6161107438037303,0.8629646515984304,0.7767001117783671,0.9446385663148211,1.2601660130697578,1.459365317161308,1.3709194352575842,1.0571201634482534,0.8642330873065901,0.7721101702327997,0.6802805215761084,0.6585157943597585,0.7209173580560273,0.6970132676872236,0.9387482055330704,0.6849902078777992,0.8031719419043546,0.8035353250264667,0.7513651497227345,0.7535273693033797,0.7567862934112222,0.776194790181029,0.7164652621444133,0.7093961965149942,0.7881129788661227,1.460193920701911,1.1029437411227405,1.2665262760279812,1.2711203631654626,1.153011111022381,1.1838602139892678,0.9680464765879725,0.997139795499827,1.0197455455175486,0.8820154262618899,0.923777864025039,0.9286055128522933,1.0993060588582202,1.2301407784461749,1.0034884744126087,1.03116156633973,1.3236320824280368,1.3251245578854667,1.0520241635389413,1.1703907489317775,1.6258765235808152,1.2953980768219837,1.231944295140048,1.537147865105782,1.6449217269391019,1.2827139634479945,1.4023144910069845,1.3216294647542437,1.623171686881114,1.2938048153977642,1.2737885301809242,1.5216469508703607,1.568872349932633,1.9733585549740786,1.8945268633867036,2.3229444442272906,1.6924362869833225,1.7565662881469286,1.7213872283294922,1.601965128759974,1.5262985417042356,1.2862870935439923,1.364871773907507,1.2645109699180919,1.2683294190750367,1.096959644414785,1.1329576565429262,1.3063246691158794,1.2259224161486448,1.171414468207606,1.002478541155413,1.071880182008143,1.2482527998581088,1.472621209052381,1.7691714584861364,2.0252721737985127,2.076109491641571,1.7417388789520378,1.998468534163098,2.199863154922296,1.858172620135994,1.8658032330537673,2.3056896993416616,2.3852181977812235,1.999126659345845,2.228182361081952,2.567637110260502,2.3734905207195967,2.1225092085739554,2.342420056073004,1.9925836997050248,2.0317509582984825,1.8756707100901093,1.8106213509966453,1.7912065793645713,1.4988003469076172,1.4772227426106703,1.4288036798234705,1.3481335064725821,1.1558235768149638,1.2457942583620478,1.337822641015747,1.1675966167766867,1.1785005206720989,1.2087459958887907,1.4223604321106493,1.3081250634969575,1.338008116425951,1.586947689478237,1.6847596213103448,1.7411847841660693,1.4074719772568656,1.0964702326057962,1.0522372178454262,1.3621920600288087,1.3583504556833526,1.5127757495052667,1.4886082693770482,1.1403355304743903,1.022045226824876,0.9077272651853855,0.9795103046051251,0.9238550265683324,0.940300626287355,0.9974753850520426,0.9324969764465171,0.8902596060893598,0.9829179510285717,0.9434392189015748,0.7940674106561239,1.0612079145905164,1.0173233737907972,1.8007652347610155,2.3996570659120704,3.928450102736903,5.048124744038286],[1.5888090685637175,1.1679940624709773,1.1231427984427667,1.0218707445697306,0.859053548666202,0.7361132605150816,0.6170820285436716,0.6429507154783917,0.5215480611960607,0.45909137127859234,0.5000399749634786,0.5788666268960148,0.49716726950950885,0.46322250278820404,0.6154336142612342,0.5480609006752802,0.5235543611927063,0.5891454338010469,0.6378467187583923,0.6067719187314466,0.6664307752267367,0.6730561623090194,0.7711176800685281,0.9083143385343444,0.7278678304763231,0.6741507298660712,0.5602428606408845,0.5192904525220787,0.5347299987492922,0.5562506888935146,0.6990283648847978,0.6214973642145127,0.8288566258093139,0.7512639874403507,0.6526212571818948,0.5983994813550201,0.5759303351275846,0.5411597933063114,0.5143127595689565,0.5333522908530289,0.5519219060486147,0.5982955587719488,0.6202202618438993,0.7620747783675986,1.214086790453147,1.63528840962457,1.8272222670248695,0.9828219080138902,2.0836355954727126,1.8735933785312362,0.8652045141244057,1.9502702225232074,1.0696018373059566,0.6432773773451802,1.6567295732821736,1.1036908764545115,1.5222004056010676,1.5899328692761392,0.9782276139500213,0.8790245528243984,0.7507763204083661,0.7591157069593443,0.7846592827153919,0.8538620721062548,0.7076266611783965,0.6566639079303692,0.8769995220215471,0.7172402433296932,0.8831962771868892,0.7583365450125793,0.938999243138201,1.3401836427165168,0.9867881533742989,1.0499729942342169,0.7881254343174546,1.3899970119125014,0.7364773102231069,0.7882971741949164,0.6891641769413116,0.6731285156609281,0.6934087841539689,0.7235759625232802,1.0861040800875998,0.6519895962360929,0.7033408263085839,0.5885112659890842,0.5813136334892727,0.6365741114535873,0.6147406144215295,0.7711725392761626,0.7367660234071721,1.02671355529589,0.8607753693547124,0.8436182874389377,0.742369690092332,0.8680681163044192,0.8097074906239327,0.7246476610756295,0.663004063572207,0.9163635276017377,0.6847726660081948,0.8204437790138981,0.6257536649231834,0.7253168574789938,0.8955443626244319,0.8343544705297601,1.0611848347124422,0.9332915101150354,0.9923045620116007,0.91151597899508,0.7915783598684457,0.6381911912475163,0.5575597157946681,0.586413931100815,0.523586338395042,0.5648639096599792,0.5294489156459736,0.544525617406867,0.625671897130409,0.6142562219327911,0.5458469263774636,0.49692396648178827,0.5482523474779288,0.5453597404305491,0.5670670680252967,0.6197400179971005,0.6497154719955451,0.6777337444668933,0.67772346911182,0.7157755539033235,0.7682797572955075,0.8032370699518088,0.7485660981734481,0.7885168904274837,0.7201296483611339,0.7055305971955992,0.8637127718879475,0.7700500896037491,0.7911388770938419,0.7050909211950589,0.7072754789281007,0.7633460123678328,0.6429424121128208,0.5643920391500931,0.5167545829295225,0.49858510125030897,0.5394762614829715,0.5142582696316846,0.5174533306535589,0.5622761767532036,0.667588667306844,0.6528875209541226,1.1700141355867235,1.6880853372255222,1.0835785883062523,0.7141542107570638,0.6080112289460077,0.6629589775596727,0.5471567910914124,0.6216112015248965,0.5794140959339645,0.49880803730427925,0.548555362295434,0.5091521541344705,0.6171555939924186,0.7333082429213723,0.8125038710947354,1.1241098565293408,1.2841214531864145,1.2446436252259268,0.9059224058966597,0.7127839304716614,0.6298467603275769,0.6225885823122449,0.5596047068940886,0.61023501772214,0.5597892125500324,0.797621748187919,0.5610450317745449,0.6942500144556408,0.8471338883956496,0.65223423505559,0.6688407395841295,0.6990909033928222,0.722620706625786,0.679054098081175,0.643593536024012,0.8339890517020689,1.3204758395316685,0.928534197429332,1.4240569748099632,1.1511665886358817,1.0753223239790444,1.1430764317508355,0.864502037896542,0.8674294760787125,0.8942451535258996,0.861305490056344,0.8975331822418957,0.8704988132976721,0.9642013239706829,1.0750113783828756,0.9060866460096607,0.9551619447923401,1.1760815040488108,1.1839393245509129,1.0108334160602228,1.0908815035693062,1.4573342298926493,1.1883867041794143,1.1827252713725505,1.4022338608869414,1.4974575924313656,1.2408571866392428,1.385965854939669,1.2886479782119318,1.5883744603730312,1.3642219245826979,1.2830780869005007,1.413824473185285,1.4239788270519358,1.8348771075972217,1.7182490983389214,2.1491087947902283,1.4705468353660647,1.5120169114567945,1.4871395406806294,1.3875714641839858,1.2817810239078682,1.1149404254340727,1.232900558109109,1.1445030393855682,1.193013386433372,1.076218560728331,1.1493103461982161,1.2552217200018763,1.2658300693288864,1.2147590385632892,0.9759634803005345,0.9344209482342104,1.0597315639874276,1.2976488969031168,1.5763812715587777,1.8408188816662567,1.870506005583842,1.5329305247819036,1.7738838106618522,1.998057050542828,1.6896572076766563,1.6675164787833088,2.104405443780613,2.19463123274767,1.8170336737981407,2.0269405866420653,2.3753348746194916,2.216658073125126,1.9244210613100288,2.1251514836342866,1.7938120405325833,1.8124330403284261,1.6643087487972983,1.5881941957123242,1.5795783810350572,1.3256977655024902,1.2858809826124786,1.2628915950985633,1.2276541352210326,1.0650008557221797,1.1412558950278335,1.322508343454653,1.195590752799887,1.185764157600575,1.2315042076722829,1.5446686375873926,1.4702087347995911,1.5101622106494785,1.8092005395116224,1.90233735522837,1.9535722955108739,1.618107260805689,1.2207002500461308,1.0835440167429125,1.4684621481301483,1.4158480744928,1.6625117859138971,1.4975423398165744,1.1280216838346473,1.0500055644150479,0.9086261031222622,0.8569363519571686,0.9574169465086049,0.9075153736270622,0.9895190237649992,0.951114376225039,0.8743064220846538,0.9852943507063887,0.9559367779133368,0.7868923278513804,1.2750947701182955,1.1358802367731868,1.9896547095807233,2.5292520419242357,4.039343539535982,5.1543071506319],[1.591979074124071,1.1492342214720515,1.0996932226304383,1.1079707525743299,0.9435534650042969,0.8082644823133147,0.7438522480335489,0.734018220126453,0.6638371639916826,0.6883135854935916,0.7116650149057585,0.7023391474626002,0.6958788840763765,0.7243706676756368,0.7601460225815492,0.7058547050979415,0.7531201679622311,0.7907817597019456,0.8800912278420954,0.8201324867984646,0.9085210301656182,0.9029404463902476,1.0146709451796234,1.187568046466975,0.9180453020042098,0.9116087988931266,0.832459676937332,0.7846636112267263,0.7406234228528973,0.7135077461316001,0.8209794826169876,0.7229373116115853,0.8618849236662827,0.8378417536025418,0.7644719507631791,0.7486554957467698,0.6941895410352581,0.7470453852565763,0.7460275213657842,0.7189114736494183,0.8122130490847889,0.8539462133117381,0.8726489275757091,0.8805842762039847,1.4504852273886644,1.6867270275089892,2.018942143910313,1.1372636974267134,1.9259398821221676,1.715176923999948,0.9303801565006128,1.813248633634142,1.1599873126791964,0.844905738397375,1.8357955117786862,1.1324242823295227,1.5002829292390696,1.7803029782602429,1.1540453053375377,1.0354457860803765,0.9624734080501445,0.9394390825693502,0.9486259691654068,1.0679629829707158,0.9612487285298985,0.8594325023732816,1.0947878565423406,0.9286532320670337,1.123175971313209,0.9590053702908368,1.1600612191625013,1.4685242474620706,1.1338170499487803,1.1908627329182595,0.9573644651028506,1.4520846571492434,0.9042293179393279,0.9149296612453195,0.8288526614155555,0.8280961657033378,0.7986126342670378,0.8616422536527182,1.1338129162704593,0.7832587342158265,0.8093634586950827,0.7147066990019949,0.7543081159850318,0.7438465264372986,0.7810147880091323,0.874084848062556,0.8825269151656256,1.0603972571140066,0.9517586570197348,0.9036186306199416,0.8289235638418846,0.922058438653767,0.898390857427615,0.7796026439684186,0.7398089335300359,0.9665010024321085,0.7455497370134571,0.8401678547814719,0.691430937571024,0.7529838399364546,0.9306630787382754,0.888110850704599,1.0908200876912013,0.9719554084409219,1.0237324749562544,0.9327243861798793,0.8343610830423378,0.7378411653154877,0.6875282245036812,0.7777457670247778,0.76897411905396,0.8292192729690053,0.8282517550657023,0.8485800745489401,0.9246970016431333,0.8817647347148332,0.8725348150274577,0.7961790886049493,0.8770056661633793,0.8392507892657303,0.7987877419305683,0.8198020667251452,0.7412407507145851,0.790883565601072,0.7542697215241424,0.7761960378463854,0.8511606233821387,0.858080476925514,0.8447359399941919,0.8454146200834003,0.8349962340831417,0.8329484862462347,0.9771442756348058,0.9637951190367644,1.03231051601258,0.9493646789714504,1.0066792980863262,1.0472310546833625,0.9202851660427491,0.8573762441922294,0.7923366502136127,0.7452909354602649,0.7860928383748078,0.6894134833908312,0.666366764991671,0.6948913434742584,0.7318255107834147,0.7056830014194779,1.1527000316983027,1.694761481236307,1.106798370850122,0.73673787720264,0.6660385441161976,0.697983862331157,0.6412220730446043,0.6820315924843112,0.7219073749678946,0.6748078465250928,0.7753006894970741,0.7170218638217487,0.7528391655152075,0.9649368075523311,0.9809190295801911,1.285942661156174,1.4057493194191633,1.3859001068496295,1.0459601146037187,0.8918714150607373,0.7785590434907999,0.7743789275129712,0.6966060492226904,0.6903245821322963,0.6623130440644418,0.8285029061573493,0.6678348007544016,0.7596544675620299,0.9826097193781552,0.7310777931545857,0.7559907559938479,0.8020903376538063,0.8527967887055415,0.8384403430771606,0.8263213197010915,1.0247787006990539,1.378835845700706,1.0353643192153483,1.5964134738356945,1.2062402068242126,1.1818762748039693,1.236451040735841,0.9611507240975552,0.9249736083688156,0.9628435998103195,0.918957481030252,0.9420333741502452,0.8983045673865879,0.9753499058849996,1.079910341086753,0.9096277968053352,0.9560715980934268,1.1756371679782827,1.1815413949019722,1.0069122878563435,1.0680910704806326,1.4650320834955977,1.165316302599819,1.1403852584755503,1.389266786230147,1.489652391684794,1.190899951433277,1.3312078973248593,1.2480903168650095,1.5477402395296553,1.3076109415737254,1.2329270630885354,1.3988050250594302,1.4299424052411926,1.844499426581975,1.7630141872078624,2.204374965006534,1.510240522656241,1.5645126992384746,1.5284340652933108,1.422108631352565,1.3079147247246956,1.125630448024426,1.2436355284876222,1.154268795044639,1.2028191326669448,1.0823167578131292,1.1583791914487211,1.2888688137760496,1.2823792364604394,1.250848571590207,1.0024199911871883,0.9578709099209602,1.0863913072348224,1.317906002266638,1.6165930149935248,1.9059755883326104,1.928880185344586,1.5680024487212167,1.8330418820950363,2.0710247452213233,1.7215788746470506,1.6995207064159261,2.168400074130242,2.2537801340958925,1.843502898634403,2.0833399659173444,2.445600621163798,2.2493604948227532,1.9686060518428314,2.2014638639632786,1.8377493927530681,1.871190901277181,1.7095001414020496,1.64196262937398,1.6208468788328212,1.336693260048728,1.30845597885887,1.2711982426864494,1.2181921141805612,1.0555439301690317,1.1329697293741572,1.3010955291148059,1.1845279364517345,1.1892049278049868,1.223815529036496,1.5426417786816584,1.4763502652489788,1.5137467274176406,1.8297310445056754,1.9330194177031095,1.9147204089174008,1.5984174914115703,1.1847935322937455,1.0578549850858554,1.4696951647529966,1.4459913820846908,1.7031980099684498,1.5553593516620299,1.1567438633306393,1.0834284497160196,0.9456384187685128,0.8885863848606806,0.9707942863924983,0.9113027690800976,0.960765055152215,0.9271591633693907,0.8902830091246128,0.975996938283019,0.9314415935131827,0.8152016031148855,1.2583215017879985,1.0835091810056143,2.0010316499878935,2.589325366798877,4.110096640069429,5.218630172774444],[1.7831178590587975,1.2281594209434537,1.2896425679123151,0.9968246282253873,1.0750728867235089,1.0271220569915966,0.9345348281576764,0.9802621656750572,0.873834538327061,0.7745611343522065,0.7733064533239081,0.8758128461093482,0.8013328300467834,0.7238441717528475,0.8437731589683019,0.7989690745472569,0.7879243437909128,0.8121491926479125,0.8348709903665917,0.815006270905259,0.8666398408342206,0.8601409298845564,0.9111422572777035,1.0267066678215255,0.8717363029204948,0.8392036088234028,0.7673670754626206,0.745496079828908,0.7996778954121586,0.8382639050040187,0.9024481416950274,0.919566411721395,1.029814507633011,0.9698793785974902,0.9151431270080198,0.8511838873372174,0.8931350062256475,0.816451733902557,0.7862757263832383,0.8259143404980379,0.775110595813119,0.8242795319340676,0.8438455536688263,0.9901801103876398,1.2394088344129595,1.7073179016774696,1.7731057601979747,1.1440445564421693,2.277185775519885,2.0826815905143428,1.068772435620957,2.161152618931267,1.1532430856379938,0.8362895569552029,1.7340383454072015,1.2551144658457372,1.7368141083669724,1.5745201318037887,1.1554657087614228,1.0456244748537522,0.9337032716663785,0.9371114208004817,0.9590319311462475,0.959189166722599,0.8760841428474837,0.8361914549245374,1.0303687964827484,0.9070166239086798,1.0034637546759448,0.9057812739630144,1.052380994300421,1.4251298076252097,1.1125854553743788,1.141825108368476,0.9324903165774314,1.4361629918248178,0.8943599690356412,0.9449990351767837,0.902504154769266,0.8986511158652377,0.976985622756138,1.0052858130422504,1.311073525904761,0.9519745287656066,1.002570884773151,0.9100811478883748,0.8474887958882342,0.9424040680277493,0.8569196546599438,0.9856892958030268,0.9148199640755885,1.0839558111401348,0.9962864562598523,1.0154664838279976,0.934627076894746,1.0184618983969307,0.9726249306057035,0.9585449944195756,0.9550162760739193,1.1252257117863906,1.0016703697032263,1.1167585595174292,1.0034765107994512,1.1228543416489827,1.2234932745293043,1.1081425656899755,1.2918069300022166,1.1624416860943074,1.2380737967190811,1.1668036635166523,1.088558640280911,0.9862519623136439,0.9193177100515103,0.8605865913688471,0.8105411756956264,0.7613476401648782,0.734535930870637,0.7629339847770101,0.8317876815967276,0.8189959177014966,0.7679425314296416,0.7507999266197115,0.7232118055613581,0.7116685911502633,0.7995478207798223,0.8708527250611421,1.029726405188227,0.9667283454221505,1.0645402593332816,1.1404022603112787,1.095939555339578,1.171241752380557,1.0956638319372354,1.1502451836867051,1.0871654393760082,1.0692218282039698,1.198541380026005,1.0420914514282884,0.981630487864331,0.8983915155003726,0.8339082333455118,0.8699897562151999,0.8263488740994722,0.7757308280795376,0.7645410295885876,0.784290242891853,0.7909639479298642,0.833934602272051,0.8941213032355539,0.932048568804747,1.0542996203065336,1.0483867987983937,1.5620322588056532,1.6963558923028874,1.2449693703512876,1.0849062897318782,0.9790124994576924,1.0448460414991407,0.9006999355884394,1.0372954626065385,0.9060455481899758,0.83162850758184,0.8183610998353533,0.816011961738856,1.0232205296141028,0.9270227902863835,1.0814635196621623,1.329239845862926,1.525975944136322,1.4482473897279433,1.1882190252755296,1.0166699666175822,0.9677481939895851,0.9082190633665671,0.9070062981311069,0.9700375049861262,0.9240765619857918,1.1558029110489825,0.9235640346609307,1.0951648519509727,0.9600696355247864,1.0162906092428592,1.0297155952391668,1.0121166514789763,0.9727184216334366,0.9181822135578572,0.8909211305753014,0.992604929905141,1.5045907342140088,1.1798080763665246,1.4367971603381744,1.359662282312484,1.286418554791288,1.3621201205283475,1.2202576652657666,1.192032712814612,1.2212868142343871,1.171180390559039,1.2215532208359348,1.211873444278542,1.4160085500042243,1.5526277517009448,1.305831737151885,1.3401757756183847,1.6499184037661405,1.6254593350113744,1.3587386402901125,1.486792433723015,1.9615807001862267,1.6004478924351937,1.5335809145557857,1.8567704209300664,1.943208313483179,1.5808285645567266,1.6878725112737063,1.5851901217976432,1.888915006544833,1.522404637170699,1.5613451939065548,1.8469275253958237,1.9032948252577488,2.385237561175633,2.2445358844695504,2.6704249391913097,2.0887852907942994,2.1623853146626666,2.105209682602316,1.9742147965875283,1.9050442411611384,1.6279695506207894,1.6724277081315957,1.6003531811027427,1.5893038423043053,1.4095576349813967,1.4025275004910895,1.5461271671406458,1.444632431219071,1.3338200732455954,1.2821594850996425,1.4006972396228947,1.5888050458927254,1.7944286675132848,2.109455316978417,2.421147149903014,2.4515437954776345,2.0779104519750833,2.379596599865467,2.577407353337789,2.2156685478652065,2.204841800301993,2.6616614262876315,2.712601007203638,2.3164921329519332,2.5828247228913432,2.9105242969243825,2.671668683318857,2.4524382586394555,2.7072350428044567,2.3506129070211217,2.4139212926535,2.2570571298052715,2.2068589999388513,2.1694456262918536,1.8531844621302593,1.8443565535845374,1.7929425592597652,1.6811710227296026,1.4710784016732767,1.5816690990307039,1.6309233771488487,1.4338881008100122,1.41100247423026,1.466366758976678,1.687492775086191,1.4907349061037778,1.5055958023805711,1.7167163111279016,1.810381559553687,1.8338041401504177,1.5738953621804477,1.3480798057495362,1.3318382031371079,1.5482772329795411,1.545948892374719,1.6612373146460557,1.5870140862307787,1.3709054945498356,1.2372013674470146,1.1805843812600127,1.2649440074418805,1.2359667324981602,1.2703533940875842,1.3543750407458781,1.219495674007812,1.1914773146930244,1.3312854680218005,1.3253173795066833,1.1327020821155924,1.3014456110342076,1.3921024208575226,1.9556646541953797,2.5246698757749995,3.9185173888838607,5.0180732570374325],[1.490238700343938,0.8271138825555109,0.7986784613413499,0.6779859970386694,0.6005626597731969,0.5589755038923804,0.5062198683415816,0.5680594335894046,0.48156146001353156,0.4661308139846835,0.51673800591678,0.598347512967657,0.518313486298416,0.5130472907479844,0.6662473980114252,0.5905239217765726,0.5732882352841778,0.6492920518229596,0.7319155551835981,0.6901634346381166,0.7542083184760274,0.7425339995242292,0.845652148004051,0.968501134228453,0.7495555584344538,0.7227731499817532,0.6241276915717858,0.5784354450498713,0.5943540333411086,0.601267920082214,0.7172152284105572,0.6801716359000023,0.8137586498535646,0.7621937276532562,0.678661928668388,0.6375807984131455,0.6282767764044135,0.6045049084122189,0.5542502390280365,0.5732931823254113,0.5626463711600855,0.6933078818579282,0.7016075756097014,0.7930298017355835,1.2107689017214203,1.5921541414822034,1.7644592353220403,0.9756834743371262,2.0010105299968672,1.7642504549532565,0.8289661681020974,1.9134246806470998,1.0783132935181379,0.6473410906704131,1.6961325856104723,1.151002905661118,1.7019618489922008,1.498271173926248,1.0241385440672073,0.8564163158473983,0.7849807234259049,0.8168742145823406,0.841179204567323,0.8811061137112896,0.7575831754279813,0.7214533221695038,0.9423820519195997,0.8124377328495576,0.9817161407655507,0.8562381944315606,1.0611828535072834,1.4766456782459914,1.068700723666573,1.1193050826737463,0.8504363289803791,1.3669535445914787,0.785993113040893,0.7914770684533616,0.7249185571767305,0.7281139485933029,0.735863845171023,0.7899296819003602,1.1056208261020095,0.720393103110457,0.6783618019645864,0.6259365108476298,0.6368089591318061,0.6915740751215369,0.6756831286489039,0.7830934702868043,0.7579250886940677,0.9740725202793883,0.8590031475433623,0.8460220531765109,0.7544443128105797,0.8581351686911494,0.8491821851089021,0.7365195084482994,0.708979348103154,0.9581810324420259,0.7418613661718494,0.8424510323971827,0.6879809046943601,0.7383270171562913,0.9317312631166214,0.7530468639630049,1.012835583379358,0.809723488334979,0.8644297951452236,0.8186665476865121,0.6527016197340063,0.5564871734314875,0.5012786038106508,0.5235686723568745,0.5329476577942514,0.5491932868493307,0.5741815581814286,0.5772524632546859,0.691672153978755,0.702595916000611,0.6222564899605149,0.549857381832461,0.5681862764231809,0.5571415436184105,0.5130513959229775,0.5318448678766352,0.5637166120140564,0.5317840784349399,0.5605726274452929,0.6596901197469694,0.5932526262213773,0.6444374870591814,0.6120054008032689,0.7435309470400027,0.6215764906768213,0.6433493607587538,0.8436812521774711,0.6753933094738512,0.6954421190400881,0.6013044287247424,0.6929155601686964,0.7383705652100164,0.6580636431481317,0.5560282871925666,0.5176671131615087,0.5280747658302025,0.5210267041599835,0.5072346117065646,0.5124585249697192,0.5573691519503597,0.6355478136106798,0.6612883951978822,1.268188096984479,1.6279300070508296,1.0591398840891135,0.7764910754003708,0.6319331856739402,0.6723592412616439,0.5862962229019352,0.6511226613511522,0.5282046108003539,0.5112029245402528,0.5057915366639756,0.48896742552989086,0.6347312210266235,0.6733213493076228,0.7357463912519129,1.0162056385637195,1.199856606864017,1.1776863121843546,0.8337235601107446,0.6511327647381306,0.5762654692138336,0.5766188347297921,0.56380999569312,0.6313175178250575,0.6309366807173982,0.8871970607934514,0.6184815020852612,0.7150017603374487,0.7657609259323501,0.6313030622460409,0.6308635580622374,0.6287884427039283,0.6220402784032762,0.6383018534445847,0.615440682329289,0.7779556572306182,1.2855090808982907,0.8675782753839134,1.381408897906556,1.0930772516474123,0.9551085763653478,1.026248883401038,0.8073725076097663,0.7453500011442598,0.8857072778645566,0.6437492203186032,0.6663169944719034,0.6718307450584934,0.9142168567427662,1.1084795424929814,0.7875379325175114,0.8057832169367205,1.191370416887115,1.1702128212860514,0.7977816857209837,0.9738170971834182,1.5034670752279289,1.0833809533195247,1.0260172831848884,1.3631152525847763,1.4440516797000482,1.0719893166055547,1.2199902404712817,1.1060534604064085,1.4494707683622532,1.108149070742882,1.103720275988059,1.3782570932129274,1.4342077673893459,1.970141311165361,1.7872993276692428,2.3158585989835774,1.651789668729735,1.7585891325948093,1.7289740188316578,1.6024681057291705,1.4460898523614405,1.1578274178615677,1.2749107182024177,1.1406985510009597,1.1063436887650309,0.9088362208809591,1.007568570568593,0.99724558764595,0.9605772339764949,0.9349106559506682,0.743035471515716,0.9277745076224551,1.1498345371836758,1.434431920727036,1.7885036427934287,2.095927585668305,2.1424125646499346,1.7233260488050217,2.02410726348987,2.2775955868107545,1.8805636639874383,1.8377884419678068,2.329871593773728,2.3914057655137677,1.938045098009076,2.2074093355786815,2.5614192560267637,2.2997939676517016,2.032727106447527,2.3037289331816955,1.9223293546993896,2.0047232124397674,1.8381504268806363,1.7944469522103548,1.7428615121710433,1.383826463986526,1.3836001450623399,1.3092896975991146,1.1894264127629741,0.9601430620998039,1.072183230193448,1.1576639726370048,0.9333250200603378,0.917122955734662,0.9662319131702953,1.2216424438396358,1.0972525710184797,1.1401723397835766,1.409108580460088,1.5338421168146965,1.584882472197746,1.28409398595363,0.9267414993488579,0.8198547884989443,1.2197072404806444,1.142583347616776,1.3264821343520892,1.221148668783321,0.8374635752845898,0.75035830095008,0.6539253594746206,0.769322722482455,0.6776167945246018,0.7431510647147819,0.8259264794142316,0.7825841273008632,0.7183082282536775,0.8339453232327487,0.7842699747590092,0.6404489842933807,0.9783934095064746,0.9474932588179406,1.8857217109355662,2.617171836924523,4.132302214137012,5.23029925583699],[1.5344285220505,0.8693090893703351,0.8021033140181377,0.7227289888799967,0.6257902130478502,0.5950848976877543,0.5450384175439107,0.5817045200075556,0.5409373356183096,0.5513586234177039,0.5971053275296404,0.6478540553586349,0.5967546459178793,0.6429013322487384,0.7982332036983786,0.72293347294344,0.7018874302455274,0.8041926960579481,0.9074060529262206,0.8639143258859314,0.9388649286103702,0.9096500807713612,1.0190998529731934,1.1342132133484895,0.9050219456142712,0.8975561250516946,0.7901137560923759,0.733073475918082,0.7422907153426095,0.7209100390470107,0.8577524819818915,0.7731667434471267,0.9071167811437799,0.8820291982361798,0.7930786980666449,0.782809738482114,0.725690658888676,0.7473941063270997,0.6937294845571972,0.702810658805222,0.7136612161512271,0.8448858640228277,0.8482299297058322,0.9247755081118186,1.2795222007591613,1.6206557193130129,1.7715437662073044,1.0859897018331486,1.9229890688837554,1.6294065816612509,0.9055055803768604,1.9460164523849717,1.1856735162746557,0.7713339369878708,1.759431380654768,1.2707061854386497,1.8184997723954357,1.6092556028384597,1.1171386700265522,0.9721197422944844,0.918282419045541,0.9678386688662339,0.9961098692363846,1.0565182551272887,0.93260594744948,0.8724690255816856,1.0904908028853992,0.9735909881836379,1.1254830634533095,1.0067266722661163,1.1778126503725792,1.6114656450108695,1.2154094667332385,1.2755535697198668,1.0244434901266688,1.4733415272101404,0.9576215841399073,0.9470850619746609,0.8774415764147254,0.8600820599771948,0.8487247746005694,0.9045050895436847,1.1914443216724144,0.8468837472491784,0.7514142300349635,0.7310458478958476,0.7603623551347309,0.7788676252591173,0.8124662524614111,0.9160298410894918,0.9048877123336075,1.097290275032458,0.9932935067923196,0.9607742637485386,0.8732364625951503,0.9725352171018123,0.9440440506065596,0.8041248861289498,0.7498340736047375,0.9994202958879682,0.7930909262830038,0.8387968748140502,0.7409703822972571,0.7712336503670464,1.0081926664001604,0.7900383181176431,1.0400888532158945,0.8007656435205273,0.8309113035961848,0.8564242973499673,0.6572422468432776,0.5793102011617075,0.544345288279024,0.5989866996689396,0.6119260101444658,0.6743995687607641,0.7128210045870232,0.6776679889792652,0.7987119502105429,0.7988431642330543,0.7223769911751535,0.6469389777841752,0.7073373130208815,0.6963560097086615,0.6077338027518554,0.5993551539262062,0.6076096525962682,0.5701263490445947,0.5913828791921382,0.6846114863515881,0.6073432676730223,0.661261107427737,0.6291707952794635,0.7637974732286522,0.6378741282359168,0.6545521455016574,0.8491421436254298,0.7046585538541014,0.7344672407140448,0.6613975110182914,0.783937176429556,0.885075398153138,0.8069852084889246,0.6896241447020421,0.6537869456441904,0.6451197189883064,0.6444928173114576,0.596479016916146,0.5859020408450246,0.607929995417365,0.6375510051480614,0.6747494824684862,1.2753787530535134,1.7426170966922674,1.0981027596950568,0.8112713274549482,0.6743249342432991,0.7058732732259967,0.6686577508140726,0.6839472449138888,0.5921334771842989,0.6015819950883178,0.5939408985175975,0.596761355928691,0.6699769306685813,0.7567303474495504,0.7422753098581153,0.9776969176428799,1.1339611346757628,1.1467203440633458,0.815212117307651,0.6750860322529406,0.616272757031133,0.6400509095444343,0.6513059733592069,0.708228080685929,0.7048409543639222,0.9305834450344732,0.7095124001782809,0.7760990437518609,0.8284372153873494,0.6721540013313656,0.6839842604560136,0.6702624693812836,0.6417733841422938,0.7314319321886557,0.7421487329460721,0.8906630404063834,1.3398341100681377,0.9076094422016505,1.4554002332005802,1.149172018696237,0.9660484439427742,1.0384132228404475,0.8357594615722901,0.75473896663852,0.8809151660698283,0.6439219509890083,0.6420230135533136,0.6657065190006064,0.8882850947030436,1.0973638791397549,0.7731293260434909,0.7620078339352069,1.1566146491815115,1.135599435229845,0.7430325070293116,0.9350925490037373,1.4582600110390074,1.0332957963968807,0.9893847741161439,1.3065164373107472,1.3824886415832838,1.0484757931261297,1.178331805172228,1.0667698592552828,1.405905133489674,1.0794588362358144,1.0688605191337017,1.3276513674010475,1.384512139006929,1.9618900779880273,1.7107943564835106,2.2910370843617285,1.6209444754485238,1.7413248903702732,1.7222650432618658,1.6087858516853217,1.4154487677521326,1.137655809726811,1.281739073500722,1.1219971243298204,1.0611779893917377,0.8805864745269814,1.0397573937436597,0.9214200932985086,0.9289211164158586,0.9255735345795324,0.708765767204402,0.9233871654085892,1.1496948064264763,1.4452781698868233,1.8008878471659067,2.1150007527244434,2.1566731431677617,1.7174112286838812,2.011127959656909,2.2792498810620594,1.8709266143288887,1.8228607262587917,2.3133591305707393,2.3683594934046064,1.8981248592765558,2.168177816706426,2.5196902012574496,2.2391395852777802,1.9734879502965235,2.249541747613078,1.875830641017191,1.9729193909464942,1.8085764731956484,1.7694418063904127,1.7069157055909685,1.3414074181656426,1.3499427660032775,1.263290734334544,1.1371554812767104,0.9179200586243125,1.0246139593939443,1.1074227962849534,0.8949452737674428,0.8752858657411016,0.9088085526948374,1.1855279884795007,1.0666530218733026,1.1302233830545425,1.3826250892863634,1.5289381141993557,1.5632077709865853,1.293803927635762,0.9365856983085262,0.8283782795647116,1.240191192723509,1.140173132142937,1.3288732821668923,1.212791009215501,0.8021355466224084,0.7350971003881211,0.6445855497428213,0.8098563661273287,0.6638436454539429,0.730877541500092,0.8124063124901938,0.8095795186842925,0.7109102904725739,0.8155598950107771,0.7731269115258305,0.6468226269880872,0.973191605621869,0.9913521607523567,1.934147860515542,2.7227944606957966,4.262471774357865,5.348203652208185],[1.4471636528520795,0.7116827875130799,0.6769226827214052,0.5235461573693793,0.5067873331610118,0.4635345918879518,0.413318195777175,0.48729428926775564,0.44686473669376825,0.4356650777219829,0.5088348631259059,0.5856053703881086,0.514349109512719,0.525431988320129,0.7340914431670739,0.6626340674698997,0.6071184928075329,0.7407044936850253,0.8224931032963714,0.7844643182774538,0.857780307536669,0.8288085881334631,0.9417458428699117,1.068118176586196,0.8316906474722185,0.8200425147479754,0.692844187817036,0.6362981754669158,0.678532455415253,0.6716586497336041,0.8285996562899471,0.757300204689723,0.9488853940208042,0.8986959613587224,0.7948335646080009,0.7502905974076689,0.7159113475181432,0.6943960010997524,0.6296761718275345,0.6605614990618024,0.6238091077693988,0.7535272197302437,0.7647059406060184,0.8808611625574708,1.1383685182138832,1.5739892727614646,1.6162200181098987,1.0251884678672347,1.9189624439534274,1.5899412708033391,0.8826763217490445,2.032899688920386,1.1709652787304632,0.6944401370517329,1.656387497986785,1.308033788750292,1.844008702719249,1.5875690231605188,1.1108302817182114,0.9607154384119405,0.8989019457305045,0.9499604303950614,0.9711294811688437,1.0367151257930651,0.8813481769123432,0.8271930987165603,1.0462257855915436,0.918214940582812,1.056869754222487,0.9214395549384974,1.107655083335287,1.5418594198897762,1.1241927757322758,1.2153754088030744,0.9550547953081046,1.4510162533983129,0.9195542312679961,0.9400634381041852,0.8625951716008644,0.8458492257900269,0.8494001505232759,0.8835608086686922,1.1809820770632193,0.806046683831078,0.7613975811784763,0.7080299985748361,0.7256105895340244,0.7832098815826902,0.7830873981683756,0.9017858666456017,0.8853762789766378,1.077782440626227,0.9641348324252482,0.9495661443889071,0.8542229602221902,0.9490972163163547,0.9118491927258067,0.8122946696487019,0.7410944941055336,1.0200634744062782,0.794450802407909,0.8307366169238187,0.7385532376417392,0.7650626182163797,0.997790389194357,0.7223687029145921,0.97187073261463,0.7231906289480317,0.7340838702564123,0.794491566649031,0.5755866140418612,0.48628031724604437,0.4302546767494459,0.44770634198418646,0.4923978771283665,0.5087834440999468,0.5775060257245145,0.5433842694080542,0.7348669571227535,0.7095611904622906,0.6053824613198128,0.5356530886325325,0.542184044049368,0.5229083973695131,0.4219857383714939,0.43021729078284743,0.5651741604143133,0.48829109706393026,0.4910258385328924,0.6462696885799921,0.527539845187646,0.6047805241817747,0.5468025235687317,0.720488098794848,0.564060062977945,0.5792277129425392,0.7336467645693046,0.5809520789002649,0.6268314495283583,0.5118568188161405,0.6256746824040579,0.7848177761534103,0.7221380240354546,0.566128824364789,0.5392981699626235,0.5414300447437593,0.5211072529430201,0.5063377436172645,0.5074509418199729,0.5245140654164768,0.5672660016390475,0.6333939803518676,1.2870959954016563,1.8055057138094752,1.1397584014639823,0.8148124778419586,0.6570040270962799,0.6821913078210512,0.6380488887592392,0.6404676962346844,0.5081819372624257,0.5222980472058157,0.472445441427018,0.5270789340278167,0.6726374953986912,0.6030618702471857,0.6035401507226178,0.8121538556966872,0.9954192650422319,1.012936294889514,0.6925899771713206,0.5503088732088581,0.5400472357102323,0.5562866438594841,0.5838301434579869,0.6785256386173527,0.6605262118978934,0.9234286667071789,0.6778958714284532,0.7556187002381425,0.711704507714658,0.6128759823765162,0.6018110827455024,0.5725942288694554,0.5554274012853037,0.6098898937582904,0.6538548998046408,0.8084384545110425,1.3317905161993382,0.8829971316748009,1.3773063585235519,1.1966696262870267,0.9195827560547195,0.9729320662378655,0.7564791465531044,0.7292324298592195,0.8389063019251167,0.552452677088663,0.5738761037453046,0.6206127538895055,0.8259276987203386,1.0556985662202059,0.7288715587386012,0.6920277085907729,1.0977000610512602,1.0893403028804962,0.6771982409440336,0.8531347312973796,1.3971310080152317,0.9732021248773204,0.9053796061086483,1.2300240630018986,1.3294955229152914,0.9839941167178596,1.0799143494884629,0.9862542557780934,1.3122843330826555,0.9403331885328786,0.9406160793476878,1.215850418703521,1.2636962632982969,1.9041164871942509,1.573277268810486,2.186831448522488,1.5390343321768016,1.67421842912158,1.6575604846698715,1.5439902984839344,1.3440366690503136,1.0733274008995661,1.2084889098120057,1.0439863871455508,0.9807265559440733,0.7862847219258357,0.9895906452890496,0.82770723751685,0.8252429750348768,0.8610794809979926,0.6315308665208744,0.8626146158219087,1.0988182301329565,1.3969984760860767,1.7639026846506622,2.073028973679845,2.125312202124379,1.6781642257258667,1.9566459782057761,2.2266719715880328,1.8436042043547562,1.7771209654382183,2.2553994850543537,2.313776153970512,1.8475321012394024,2.091121448110968,2.427564052135199,2.170484066487366,1.8960613865732516,2.1594793868475035,1.7832042224596043,1.8832059913927142,1.7357249234378818,1.690598663697078,1.6190951492255332,1.264763077296123,1.2723344027180665,1.1726241553720567,1.0350892902479636,0.8130248744239383,0.9114956351333703,0.9892978354706495,0.755953392027851,0.7566503744857437,0.7864880245576231,1.0722696102772797,0.9341116260887935,0.9853091475473867,1.2268857572608234,1.3881975916395273,1.4032669686635515,1.1591110347687763,0.8217193630339774,0.7173023208247555,1.138149466650203,1.0280521498274613,1.2060297487270688,1.120651837002191,0.7135624488446158,0.6531145824145366,0.582849629250744,0.7826575635859441,0.5655851466843652,0.6626487313886029,0.7303859730609146,0.7478074638152276,0.6219538474413123,0.7611956264611541,0.751944761517669,0.5617519387625806,0.843426551385154,1.018099985205143,1.8288900359502716,2.6064617375807284,4.143792598203692,5.298705495709249],[1.5808483712890158,0.8444841315748233,0.8388726154078533,0.6457286175583515,0.5716244227136584,0.5559124568595117,0.4841731166008276,0.5906291600936989,0.511759232859195,0.5019375345106153,0.5823470864951341,0.6645518052316629,0.6003453155352999,0.5859035548255624,0.8168281364682599,0.7141343256807032,0.6630224876546115,0.8019199873700829,0.8638505104584142,0.8261509409850389,0.8926742147750182,0.8502115330241363,0.9793586805172823,1.0896500393063273,0.8547021535879706,0.8384809179043607,0.7184673277630668,0.6766425859506562,0.7201527371335661,0.7279290758175414,0.8874461052931324,0.8397803082412164,1.0094023252310809,0.9896910915745628,0.8794009904852144,0.8248094474170277,0.8209575140372599,0.7622911604278115,0.6784266177365185,0.7258537760781264,0.686661572163677,0.808236539743134,0.8225854366900505,0.9316338765707355,1.1752724752731145,1.593176926251122,1.6289206612068492,1.0463842624517594,1.9334702894681441,1.6170660654238558,0.960277176392204,2.0063589495192553,1.227959166010313,0.7942930735832116,1.7348019071775997,1.362982997063807,2.0264495449612046,1.4915476180546876,1.1056519998842946,1.0087532913889927,0.9399372469934112,1.0400622470036363,1.0444519527893692,1.0515561204210302,0.9235942898127266,0.8832265341623857,1.0728332579589808,0.9688377548339138,1.0806300055574265,0.9725519567610837,1.1643120458274767,1.5853086404591201,1.183325560148323,1.2816920769131521,1.0192621194442777,1.5036824493235257,1.0035543596179466,1.0169402548337092,0.9601053077269595,0.9617160557759168,0.9531198087272428,0.9735621113750111,1.2274057186252132,0.8822223184761785,0.8235084423493825,0.7974788021417758,0.8056286102465173,0.8875872232937617,0.85833353763499,1.0055747001806044,0.9712851501213534,1.1873053587042506,1.0648663441239723,1.0356770232833246,0.9273490762832539,1.0398921668967591,0.9566223637815414,0.8864495614970451,0.8355768442067395,1.083241854939965,0.8876551017984868,0.939487432374819,0.826235456788014,0.8666630405289174,1.1177768554939582,0.8528893804476838,1.1186245911881616,0.8656287531158865,0.8763605233718421,0.887952535174338,0.7065442093434118,0.5951596716293347,0.5174299847244606,0.5180405705974871,0.5661814352837766,0.5078246091234108,0.5816670290783568,0.5882907447196616,0.7825462360931752,0.7684217196787037,0.6606907056899523,0.5741245083450942,0.5395739665504695,0.5320593767991216,0.46079884479342015,0.474009352212445,0.6565064939400997,0.5504575087387562,0.6016063283871423,0.7548843052713502,0.6472022023878464,0.7484756114352012,0.6616146976986998,0.8314389938081689,0.6636892364174187,0.6544454588634399,0.815692920871661,0.6935756971915412,0.717776116865435,0.5866831513331021,0.6276807899866539,0.7378892959050952,0.7153433317485233,0.5869122629310157,0.5908227068053512,0.6174592030857562,0.5695619835130549,0.5828652648193362,0.6042896224483314,0.6190386579953712,0.6854495271145384,0.7151025636150086,1.3461710565029272,1.706477910613715,1.123174176622919,0.898178735540541,0.7097335176838747,0.774249281663398,0.7058965592888957,0.739856635451789,0.6107070163175367,0.6180830499986609,0.5370528625367028,0.5881555253867873,0.7904252678380959,0.6493764777333191,0.6710573122087534,0.862529349418993,1.0409148858717299,1.0584034620543246,0.7635606945004809,0.6396095859764782,0.6472741989965644,0.624075350530407,0.6682593521727082,0.779229577095308,0.7453577526927347,1.0428421847461986,0.7824772096729848,0.8827518650185435,0.7276447554125084,0.7222441017858571,0.7186321669422591,0.6884230485364243,0.6539265138084526,0.6650586199278059,0.6957658783309197,0.8157670740770477,1.3135151576920647,0.9022095866250691,1.3452317367761057,1.1757874284804688,0.9244652567150079,1.0109238491671355,0.85888439688603,0.7593586442267797,0.9253861815089862,0.7019775488902498,0.7202949863080624,0.793551201680349,1.0328023045488142,1.236121821361488,0.8923813608399954,0.8668844971745951,1.2800452816724932,1.218396758460886,0.8299882407200434,1.0113276772811157,1.5293562232490532,1.0646858530002312,1.0079748839800415,1.3178523092880485,1.3685367225425187,1.0738820898927697,1.1618180637636486,1.074385923130199,1.4254101806543054,1.0853988068963083,1.087021722956448,1.3729265069257226,1.4351623466737875,2.1160931809135324,1.7917540116745105,2.3906591991166564,1.7669945033933903,1.9313473421414207,1.912184183627007,1.8270673761010392,1.5983161098901095,1.3075231550725614,1.4652661906133773,1.2910548185606088,1.1787757973907669,0.996758451532839,1.1791339770918732,0.9327362268371377,0.9131208603755705,0.8919722670905833,0.7976162549634315,1.0744944158712197,1.33253182123468,1.6313594352267224,2.0018419794071813,2.324120800616373,2.342261211361047,1.89144737728429,2.1875051195899964,2.446129963698494,2.020231590390749,1.9523004898059628,2.432785079716532,2.4602291278438337,1.9664633637219036,2.250696453311268,2.5682564205640515,2.241756573663656,2.0009933824232538,2.306885845589237,1.9371957454464008,2.0788503169165278,1.935413994619279,1.9248663168730937,1.8378979377616584,1.443209220638433,1.4821080322763753,1.3798801959793834,1.2135070015682254,1.0016101304881149,1.1450217615198435,1.1508790558322222,0.9115692846864552,0.8926427023812925,0.9617222176514675,1.1855011016785146,1.0531779055868926,1.0853557080767247,1.3310423185250841,1.4760515652666315,1.5542467736191778,1.2843109601433822,0.9736320967672343,0.8920205947027904,1.261241829595889,1.13029162596611,1.2733954908346774,1.1674945279177869,0.8407440549128334,0.7436035855705841,0.6863731566084661,0.8506171552682396,0.7060214008177086,0.8310629993034522,0.8986065290219095,0.8775602784759218,0.7641725073893822,0.9311438283769725,0.9105815610555722,0.6766646713650963,0.9166806065926633,1.0556608581863651,1.868477480240803,2.796837773821017,4.2889477592160805,5.459067556551638],[1.5699404263162149,0.8064086249928833,0.752238211976783,0.591623427794486,0.550056521172669,0.5211665756191443,0.43691998151394135,0.4996942114454156,0.4167128697967542,0.3837858953977206,0.45357690158775743,0.5645224841020303,0.47516423406981645,0.45858175093184467,0.6861688539255716,0.5970583172803845,0.5397126099749933,0.6567341068780865,0.7325207186419168,0.687170847780067,0.7469613281549341,0.7063105523273192,0.845312423581009,0.9658632401943518,0.7227581521833597,0.7022851135910823,0.5938092332828439,0.548853166705145,0.5941451476167093,0.6068524311598462,0.7325168404030326,0.7024612511806024,0.8474009432959142,0.7936096588545163,0.7058891188676917,0.6590159129120733,0.6545076165568441,0.6219992759815207,0.5351789946940045,0.5817025347018369,0.5453171114530885,0.6659860120120011,0.6905777579346909,0.8119106418961288,1.092144275998692,1.5628157473688666,1.6428571103068053,0.9471968326563153,1.99007531474569,1.719673573992064,0.8342155052029262,1.9633084921459616,1.0440771767601262,0.6572879874446338,1.6970463111315859,1.1694881616036672,1.8576930013532105,1.4472905060517662,1.0278922979464489,0.8694918932871455,0.7970839932306049,0.8613056552497135,0.8688466662323421,0.8955248261592849,0.751336818068808,0.7226109236391164,0.9650632154990331,0.8269570153403993,0.9502440815498179,0.8444422851928214,1.047950738634079,1.5038379240389097,1.0670588438967663,1.1313055355072315,0.8658073915992965,1.3702412313543897,0.8027587450986917,0.8160245684467168,0.7614786099699832,0.7771987278356286,0.7891392418003061,0.8184654098120239,1.1649009691392818,0.7803194654886233,0.6891347388825855,0.6617941001984329,0.6521092648033819,0.7355633037692908,0.6873745434205072,0.8328488144141507,0.7854617247084341,0.9868248201605598,0.8844091095838391,0.8659647680470572,0.7699839918948165,0.8811755982202639,0.8536589313230896,0.7449146767745646,0.6993071889059247,0.9150242144819243,0.7490324186720126,0.8216187713436888,0.7039065248720974,0.7495325416191055,0.9916775141124766,0.7622790492400743,1.0332906465943381,0.7984059901550197,0.8417955138865347,0.8263363711515402,0.6484670542561772,0.5167704146143789,0.4524195581549999,0.45018339366775195,0.49339567504865045,0.45176086160737905,0.5022074182948608,0.4996852129212106,0.6444133309583986,0.6471866446958247,0.5598665171413777,0.48905991337399807,0.48254981720320517,0.4772483291608488,0.42066274569155476,0.43393286084032884,0.6033479012956745,0.4721291141696974,0.5635014747481703,0.691901250794708,0.5946655954626782,0.6735687180194645,0.6121881557897483,0.7582394406928948,0.61702847115855,0.6207574617850111,0.8442764496124706,0.6697654842011832,0.6574952353958852,0.5241164840808203,0.5810639912295914,0.6513607998709622,0.6172896452959624,0.4873593686669871,0.48353959853715284,0.499227635575366,0.4830427215806966,0.4927029610328488,0.49721706772534413,0.5159427393690944,0.5950473098300633,0.6227953717188034,1.240321759631322,1.609617188881839,0.9894223732446203,0.7777918707747263,0.620699020226293,0.661564486195177,0.5854866698218764,0.6295847331553898,0.5198843102021855,0.4960948094839159,0.4621972866126007,0.4704806696510229,0.699154411357549,0.5770239867376727,0.6549244621253365,0.892305058529656,1.095677895688888,1.0817946439088693,0.7841054194155842,0.619322159063251,0.5799025679782939,0.5537790771968538,0.5603138022932026,0.6556713152843622,0.6226460383424091,0.9201909956196512,0.6449658620646345,0.7565593510399109,0.6866039898151929,0.6295090293723833,0.638925045720778,0.6094409980425864,0.585960680604601,0.601537476409777,0.5885331010253724,0.7845248175899387,1.2917519346110529,0.859096028922798,1.3368200693205994,1.1057440010179582,0.9393461919886128,1.003305730849347,0.8127207466569731,0.7335880533695313,0.9019776664012228,0.6657988503346048,0.656145051776419,0.693651990109641,0.9670947259395609,1.167437700505584,0.8183188193815538,0.8073800697639115,1.2279659993504481,1.1759754952361938,0.7599201031633842,0.962730881412038,1.5056791785001995,1.0352804631785273,0.9780992633631833,1.3089964336678297,1.3663793734143728,1.0310481429006373,1.1473252860511505,1.0488069242667268,1.3918866561156722,1.0560297519379636,1.0636436047781936,1.356454648200806,1.4320566380548065,2.0381436476999504,1.7955665770791682,2.380001750985877,1.730766549969521,1.8764872340656413,1.8491887051228706,1.7497632192968713,1.5456032538067044,1.2450210330612839,1.3765746381491746,1.2351761007332422,1.1425126801424246,0.9405459429147237,1.089281174739154,0.9283501148163733,0.9030508400564846,0.8851935065251184,0.7239372372916859,1.0104936144750216,1.272314195111689,1.55545532981117,1.9153368304761347,2.2211051958843395,2.2591035171226657,1.828482401400852,2.121449542067176,2.376730788184231,1.9511187017047795,1.9015868947684094,2.383875326464846,2.4243686902933432,1.94622863974527,2.2243129786990594,2.5592379479532004,2.254708434744849,2.0014304969789682,2.2935947497623568,1.923175805480643,2.0439404545957385,1.8935766634913136,1.8726491865255945,1.7901357507756113,1.4084890646777308,1.4430093858857138,1.3454211265303748,1.1896627368537172,0.9707891120502485,1.1022040417966223,1.121195235797039,0.8784441635557958,0.8710737063418978,0.9192462163991306,1.1681391074943497,1.0097515306830782,1.0521853056960193,1.2941260226451436,1.4270393958645065,1.487684702253723,1.232958642525807,0.8960132265115075,0.7954213252790274,1.2027794779237364,1.0797919396142708,1.2191622916158564,1.1266248739504188,0.7897217479359496,0.6910071980276742,0.6349220662346564,0.8128965038598069,0.6305456417806138,0.7544089655830588,0.817232926698517,0.7710305758104481,0.7146969525224406,0.8708186124420713,0.8101325822703805,0.6241530166469534,0.8743521609662278,0.9571312053836275,1.8422921859180184,2.731583212440253,4.23962923509764,5.329303918978341],[1.4889546369773974,0.7368647171654702,0.6971923287227386,0.5664449159644208,0.48912505551522534,0.48331215602592026,0.39387460128775353,0.4376279638459088,0.38117373932439275,0.3498041931654191,0.43777166355467095,0.5303096678590093,0.447645457184824,0.44176432523347126,0.6346647075408826,0.5551916396513991,0.5202635503871756,0.6277391219586798,0.7030434609792579,0.6616904326927232,0.7180923059295486,0.6728535218417757,0.8130039138340986,0.9307306452845564,0.7143645963695849,0.6850503221703819,0.5870090609898004,0.5331031555968064,0.565233893728791,0.5614580397447135,0.6968848612443632,0.6420011560300427,0.8024576029147104,0.7461044324403616,0.6619807580262507,0.6230561132985303,0.603799948294179,0.5858969054044084,0.5096432361748979,0.5396983075695209,0.5316166111133089,0.6440719998639812,0.668807219299538,0.7920357444850825,1.1027827204252387,1.563429879598614,1.655013081991957,0.9478508602670321,1.9729232712930502,1.7056738098263675,0.810435007130896,1.9675941531051302,1.0253397938145707,0.6291256057212299,1.6981316908392026,1.130010409308893,1.7328325750479134,1.5170854213945177,0.9848357201097953,0.8429396861916659,0.778425302739086,0.8134283391382446,0.8289662179393498,0.8554437266949808,0.7189022165029456,0.6824999008974164,0.9157319931323566,0.7910882220967903,0.9281347543207896,0.8196050955621531,1.0397238564882736,1.4741976946050257,1.0412485551163646,1.1120143383200298,0.8319995587495339,1.370241868734661,0.769454549132408,0.765347204171377,0.7107932922864867,0.7170736546145694,0.7313662207389918,0.7837421659605107,1.0998999830859952,0.7146612850837402,0.6454853882249393,0.6009374686566565,0.6093569856012329,0.6723188965829647,0.6385458900353738,0.7691884543184568,0.7454813241386467,0.9623326048093946,0.841967699859718,0.8200979069923701,0.7319487957008822,0.8450587022788748,0.8221458343043326,0.6981257675423516,0.645300131491411,0.9037792668936403,0.6859703416293036,0.7584992929282519,0.6281681513971312,0.6618923264296815,0.9156214101922996,0.691279001421277,0.939054696547373,0.7124435698219428,0.7706925125838979,0.7563998352544005,0.574985375748844,0.44030071296292095,0.3938279902782689,0.4179495952223108,0.4689845254293111,0.44528373117820447,0.49402362082812135,0.4900756254932579,0.6493909162769025,0.6328348830228946,0.5507977780350625,0.47502871275322955,0.46279127039388407,0.4547649901046024,0.3875911334312144,0.3977003410314493,0.5600003463478364,0.4493922378787618,0.48803028057561626,0.6040961867825583,0.523490370692521,0.5916513960638496,0.5384128171534173,0.6565618592596231,0.5575531987533247,0.5722528953095087,0.778745935791419,0.6349485420207027,0.6576031967805577,0.5181498898286827,0.5801616543365146,0.6696576443561981,0.626081795086469,0.48733799315999893,0.4722291889283803,0.4780081440221767,0.4660737978868747,0.46524803300974665,0.430728801482699,0.45786344653489125,0.5182255108751355,0.5595712796573256,1.197519512342931,1.740486741905558,1.0452764365519547,0.7045168360651145,0.5576145768936843,0.5909755948844208,0.5115008062905265,0.5545582437588077,0.47406283429585133,0.460713867113729,0.44798622732232346,0.44105601095471,0.6496585154510128,0.5898908460949707,0.639752727844142,0.8988193434569595,1.0929591897244793,1.099465041334076,0.7683955916972991,0.5919112176415664,0.5351749288426401,0.5009500012208496,0.494180052649959,0.5867239435844368,0.5661528546566446,0.8426433425396371,0.5750084151523094,0.6767063769373146,0.6693256236028527,0.5417907900685772,0.554187503575187,0.544339843943914,0.5486801768225832,0.5690067504390082,0.5713799563519287,0.773790287492828,1.262704058067649,0.8544561287888885,1.3358321597141833,1.1153469089621832,0.9247910851053474,0.9972561789116253,0.7541707096060777,0.6605127901337811,0.803791846161373,0.5664692533462419,0.571270626046308,0.6195542217002465,0.8585143068545494,1.078328240431289,0.7441127759466559,0.7075268179101946,1.131850978653059,1.11716830734948,0.6774704216572819,0.874858724539,1.43122559893521,0.9881608074825853,0.9121690852660556,1.2458927630786412,1.346707005098559,0.9826976960997209,1.0797434027332062,0.9858252768140402,1.3274359414725374,0.9489945159343655,0.9653606690841113,1.2505490044752094,1.2893734859693424,1.8968066780278778,1.6098439283054913,2.2019622832571004,1.5649397379150456,1.6895722241472575,1.676259777783392,1.571579499420076,1.3734645126531972,1.1086116890425322,1.2487380739334537,1.0912454712692274,1.028262528980523,0.8339424451054831,1.0155845132088281,0.8604256008341573,0.8385834640562005,0.8481189221325691,0.63583861310176,0.8922312883862674,1.1303805320785234,1.4228353771048547,1.7714144918580752,2.0710646965114172,2.1199759651247962,1.6962741190540496,1.9706563639937962,2.224022121008825,1.8517516170114101,1.8033416003484157,2.275525042806893,2.340597908755494,1.8818656596347174,2.119135724432176,2.4583975707147,2.2178319587347466,1.9268692206944702,2.1813793695281642,1.8124357993109719,1.9094771303761662,1.7650757828131067,1.7159951904939912,1.6474714055355195,1.3003378807581134,1.3114149096087235,1.208125452045499,1.0696412272355293,0.8448070390191896,0.9594006962130148,1.0082470886567934,0.7758031465263289,0.7705491709493134,0.8122766428248034,1.0847272837776547,0.9383855036084835,0.9918431544055055,1.2291351506396984,1.3810630405814626,1.4232154783662676,1.1698182564681032,0.8423695801061272,0.7204166768675059,1.1459277238407142,1.0172884470073869,1.178077338694498,1.0880579414694413,0.7101186645281311,0.6425332196508106,0.5679427138016984,0.7600060055008144,0.5585123272152287,0.6644105824947133,0.7365386657838869,0.7379988146841191,0.6370482152188003,0.769084176256294,0.7250745698111318,0.5606334375184866,0.8279057202026535,0.9525253010696486,1.857470461682977,2.618618624951257,4.144156607534424,5.224858032240605],[1.5543273280677588,0.7975875489703299,0.7467120402798143,0.6262914438039651,0.5758044017197729,0.6282814786966499,0.5519437246406524,0.6599777030658699,0.5824329971659266,0.583369779657803,0.6445902929932924,0.7219979528173401,0.6646829420220135,0.6516656225399633,0.879252722017427,0.7901379649551976,0.7264782032871452,0.8552697382404191,0.9015467932514541,0.862237501761854,0.9062600114435766,0.8569327946740729,0.9773803999482866,1.065281495767279,0.8548137765383921,0.8405300231360556,0.7743316152801549,0.7388023636335147,0.7932481560450905,0.8020551828575874,0.9170364534095709,0.874098461435258,0.9836248352479261,0.9626124352881673,0.8914203010597737,0.8506744924355989,0.8455453363346762,0.8269100102809145,0.7313552802521341,0.7791843687612713,0.755880977530001,0.8718226646841963,0.8853767028258683,0.9916078780765282,1.1961223784008341,1.594095594560194,1.6296256426650007,1.1410126694741038,2.0132476569729163,1.7086037927773523,1.0097950870169885,1.9923017452694312,1.194740270789236,0.8401591576816134,1.7810310651056835,1.3053114801740355,2.0264450513267644,1.4883404089591978,1.1570709741585106,1.0263844992500635,0.9799233541519297,1.0245090021648284,1.0315813497458044,1.0439120052631945,0.8990517968645838,0.8941016330122702,1.1476557170304376,1.0008678766748573,1.0890949899230606,1.0355334698004783,1.1770068506280646,1.6059425886536878,1.250904235748779,1.2669067557872622,1.0525667505797753,1.5185623430143282,0.9964081112582936,0.9824637696233173,0.942326294235487,0.9436233974863355,0.962541952902537,0.9980736677549777,1.2145236745785317,0.9352430221984606,0.8570075980192904,0.856311908585674,0.8423793763564097,0.9046121416494695,0.8738149204443045,0.9904639599520084,0.9696834472618647,1.1725562652497672,1.0476375802807507,1.0475200944855936,0.9635976668116396,1.0767953372621273,1.0426814471583414,0.9183063071227359,0.8571404384947258,1.0396181897477392,0.8736686188325172,0.9091279817786172,0.8255331279184835,0.8392444235213414,1.0872981736337126,0.8760742387863413,1.093636266611736,0.8929337600636261,0.9119881757528294,0.9270109777554809,0.7585605531809286,0.6544352361368139,0.6222390897892303,0.6407372506708555,0.6625390988461125,0.5877501002587134,0.6546630327894917,0.6520150923317979,0.7691970845998938,0.8167312777866876,0.7171585535681988,0.6464090327588963,0.5807826864234658,0.5782375596229731,0.5726204611350345,0.5554387744068364,0.7365559713052068,0.6159687921540662,0.6685433895595018,0.7986149625262027,0.6949497273167371,0.7702946940740856,0.7188659680074535,0.8382114460954364,0.7351177498833318,0.7378790096817774,0.8713574586485476,0.735150317226364,0.7619445780570901,0.6913751836233226,0.6941939405385139,0.7407797098370013,0.7501059059761184,0.6612557196313743,0.6679647851344418,0.6782677672069019,0.6660864527043331,0.6615926179664027,0.6608500745357926,0.6772845253816936,0.7346632172757294,0.7598727924822808,1.3255297473815133,1.7505409032882677,1.090663135993895,0.8778871079872733,0.7591936678752084,0.7878135338494208,0.7262190983487036,0.7759016995759882,0.6774224244060898,0.692966490827567,0.6515597693956595,0.6749047512944085,0.8731836896186298,0.7623426660233158,0.7681867213277117,0.9231881319295725,1.0914394581199856,1.1274038778005642,0.8636314287012161,0.7456063361253559,0.7154309256768198,0.7009901650850164,0.7158196542989272,0.8010901715426608,0.7886592214498233,1.0188824209173708,0.8203038212305239,0.8777284874682586,0.7975468786892173,0.7420460780490465,0.7388266476841349,0.7131756333465148,0.7080860817756418,0.7359109637183667,0.7803178848242742,0.9496518411578622,1.3118564973971,0.9782410865437243,1.3914670292606282,1.2363166602819184,0.9824268971174166,1.0714241874897266,0.923159107046437,0.7863565430277141,0.9788233086387724,0.7236821514245888,0.7137877207527964,0.7785904391484532,1.0018122470097308,1.203778950934921,0.881419694709929,0.8391578396496612,1.2380421478333326,1.1860086876948828,0.7766467826288763,0.9687520289606881,1.472476640475206,1.0252917362822316,0.9784478390289051,1.2604831718357477,1.3182063243781035,1.0990831278100626,1.1412724611746872,1.0485637254792544,1.3286832289060377,1.0185979618253356,1.0411079049418004,1.2935097925375225,1.3531100135793375,1.9953706229173889,1.66453435068107,2.3046464734091954,1.6899341548929003,1.8450606073775602,1.8367267950611688,1.7652920971701027,1.5435111840558415,1.2748102297037776,1.4145269498046062,1.293668642039245,1.2078020863530026,0.9925473160053144,1.1730979437327342,0.9457001950315551,0.9297701862846127,0.9117305676849011,0.7705797035661756,1.0720725832234488,1.3178123447767065,1.5742582208278415,1.9353494984812007,2.234026752710322,2.260515171107349,1.830754665933442,2.077836153652987,2.3358372690659075,1.947321400960432,1.8768695692615665,2.325284315500853,2.3594446716956092,1.8949858395288695,2.138958147760369,2.443184091883896,2.164459252967936,1.907498533535469,2.175799920863342,1.8259567082046526,1.9596981926322137,1.8429850869585067,1.8168605140266654,1.7228768115006179,1.3824335212044472,1.425867865545685,1.3244429587857482,1.1706188395814203,0.9768228780923086,1.101919880008488,1.0977589458958514,0.8639251151330603,0.8633821470466484,0.9300455675544709,1.1127092350374603,0.9625761826606413,0.9931621644540743,1.2009227951999248,1.3307402941491928,1.4222810369086343,1.208672409425165,0.9382798048858879,0.8470011339973638,1.2395342700432646,1.0724815877812994,1.1636751454430636,1.0775081578553731,0.770571199262908,0.7115509260620043,0.687578816144432,0.8392557844218246,0.6850641161778488,0.847745609605052,0.9201318855668065,0.9319005746112519,0.8012870622737116,0.9643002652554468,0.9117484252465408,0.7297897679378351,0.9008997873941226,1.1412071836992261,1.886327145394373,2.761215822505894,4.237848187030544,5.279208710431015],[1.4299860439161916,0.6946356466657362,0.6385112310308195,0.5273398935446011,0.45006653843057587,0.4532066024645847,0.390496347948859,0.45515266111295316,0.4047403446462236,0.4058354783789214,0.4796403440222601,0.5488295113856845,0.48235052365689907,0.5003206664979399,0.7203983754760058,0.6096838538487817,0.5747767490036882,0.6991055542340397,0.7789716974787614,0.7341589492013356,0.7847501895392722,0.7415761207734782,0.8842893611582939,0.9950197342286375,0.7543062882114255,0.7406279300488379,0.6477543476085696,0.6043906890086834,0.6313891469534287,0.6188867932177904,0.7369247893272138,0.6819517101026955,0.8095831180375258,0.7597547758304354,0.690696222048617,0.669810133922935,0.6473716534167945,0.6507072425590416,0.55960218599998,0.5924407854570105,0.6008523421920712,0.7251649029775239,0.7298774958209437,0.8487658982299044,1.1224093465061418,1.5493999358815171,1.5872950790459173,1.011867311885113,1.8980706878991305,1.5727462525660498,0.8677987817824566,1.9157766433661532,1.1069760543073692,0.6567969310385418,1.6684700199732758,1.225645587981681,1.9055012606608321,1.448427931058128,1.0183773153873428,0.8817734482306977,0.811830164507898,0.8725462011035122,0.8768780693535572,0.917752848628073,0.7595053201272136,0.7412604728521445,1.0128922539379528,0.8652949413297585,0.9834237665886265,0.8903019454170512,1.0881118920330657,1.547172369405197,1.1035259032372862,1.1315063783395751,0.8807361290694509,1.3513347403583644,0.8139498033197483,0.7961756311976331,0.7526034324751826,0.7764051024749445,0.7710406893754223,0.8060263871220776,1.074142019333407,0.7261549641979166,0.6967113640575562,0.6499096508159271,0.6588209777118524,0.7001526789374007,0.7034831422415114,0.8019126551252721,0.7817378429235182,0.9771495414645943,0.8605809493826373,0.8383546715972355,0.7615650437725029,0.8702688202089985,0.8542711269012935,0.7233750989583088,0.6800307915145429,0.949642777255966,0.70791175286447,0.7794223811534919,0.6506146115673634,0.6702729204156709,0.9850980546627516,0.6850942931894779,0.9290078350547909,0.6942949123869742,0.7263294079897751,0.7372873230767153,0.5531469931751561,0.4706251980172438,0.4214187174362242,0.47245201575154433,0.5099907839789606,0.4722099705510535,0.5380405313832466,0.5339340230853824,0.6645914818232291,0.6934037207568818,0.5831700344819254,0.5055359944433203,0.4784002277908533,0.4882287501261692,0.43077834172002394,0.4218398683436949,0.5636111020254091,0.4452664775644491,0.47041177785926974,0.5986823237096245,0.4981426698630268,0.587932424252699,0.5194700743952876,0.7043407500893006,0.5419593920119898,0.5390477144506027,0.7172564714212702,0.6000156128776475,0.6807036782133558,0.5613972331078502,0.6031412923540501,0.678553296480573,0.6595869843703985,0.5387213808405287,0.5233189841292012,0.529893234497087,0.5209001453044056,0.48823999765521175,0.4862105809445723,0.5007350437112074,0.5409091995731701,0.5913708624604095,1.2279285098319217,1.8745952730372235,1.124081945520552,0.7474107168771138,0.5882539225966148,0.6179926809309284,0.5636541476836762,0.590629295492855,0.4993266345219278,0.5024920264649287,0.4745840946153309,0.4978394795365826,0.682669073413204,0.6330326818815566,0.616689806987586,0.7961135127689956,0.9646396337206492,1.0248365404700057,0.7009799271955931,0.556093857308916,0.5203294478089201,0.5280727702272522,0.556963084317599,0.6241797794083781,0.6074361424077159,0.8619786183168756,0.630103144310882,0.7073097239168252,0.6812707811328502,0.5682608120402879,0.5668757820825653,0.5611317024335221,0.5630317216135513,0.6121592026042981,0.6020765648776841,0.7655768436486619,1.2435314612578323,0.828881059200954,1.3498856595992708,1.1291664770619305,0.8754687655867565,0.9634222394747742,0.7527135974294156,0.6556455063388793,0.8404991786237533,0.537562961761029,0.5380230176208386,0.5908451057270324,0.7707727203204919,0.9840362536824547,0.6762250644179781,0.6357323521870683,1.0043454624470713,0.990014613181446,0.6096625905681079,0.7615499451321305,1.2548064421427376,0.8531826608886609,0.799978124996113,1.070039442117962,1.1601262310183726,0.9636742024899491,0.9772911504007101,0.8866769909997643,1.1827003146279367,0.8446381595805194,0.8478927710622017,1.0729857047381608,1.0901732518012626,1.840168856422549,1.3496688350629324,2.0098143689175187,1.3976030819355112,1.5371472770432146,1.5433947576159548,1.4654703575585666,1.2487309530333912,1.0022710763285594,1.1451246724632231,1.003718123273653,0.9317928913694489,0.7381658068543624,1.0197159481324716,0.7453922368216555,0.7727656445409468,0.8080107358146709,0.5799397253181657,0.8296673203463437,1.047675624699161,1.3195626782252619,1.668215978452852,1.958054356452939,2.005135190620915,1.5727155275881535,1.7990977382303084,2.054224163772471,1.7310645297280005,1.640297044571603,2.0593305612558295,2.11651427038778,1.673505557134036,1.8840351987314017,2.1813740593346322,1.9547999267238085,1.6791209214356142,1.9030708978383006,1.5785013626568332,1.6803291814228964,1.5773583480398372,1.530148086299366,1.442907578599953,1.1420059923632728,1.1614482942752027,1.0531106003236883,0.9272119933157822,0.7448506831739444,0.8379438148941292,0.8787653375905963,0.6875664427191688,0.6853933877734076,0.7154170504757352,0.9737315518122823,0.8442706022560845,0.9005281681880569,1.095856095283467,1.2970104824397994,1.325107086134066,1.1312380389982102,0.8167740300651489,0.7114887979784537,1.1722361004001949,0.9818711847966662,1.1039102448271092,1.0070702476404285,0.6614682959751771,0.6119550985738474,0.5544159018846062,0.7353261806902387,0.5223375471333803,0.6431793521822313,0.7080550553871383,0.7496148516342612,0.5914102950485473,0.751032250486306,0.7422017582147901,0.5518434716118907,0.8653728690365068,1.16958057850367,1.9378475614048492,2.670514296738874,4.115662115355971,5.184159445921002],[1.4617692653895296,0.7749712814779542,0.7214389178797007,0.6383839983450793,0.5636760778574482,0.5883210094729147,0.5419586020944781,0.6118771879765064,0.5565793598155583,0.538277736689203,0.5846035148670048,0.6585507137543121,0.6034033123735968,0.6246604877410145,0.8719912186595087,0.7312834859133288,0.6987281263110516,0.7953511665468836,0.8459329652947123,0.8237224297586337,0.8563544428865718,0.819841312458812,0.9119572543497247,0.970173504658887,0.7808586874289413,0.7795907892174374,0.7276947555952021,0.7183602906492698,0.7424687619445445,0.7331802136526273,0.8254050756355957,0.7903351983792775,0.8710761467915734,0.848684831534599,0.7887474444562093,0.7723677909016062,0.7742699182274417,0.7735493139074502,0.7087154024947022,0.7284058462817389,0.7182228023402373,0.808639723323342,0.8367595509666702,0.9290689650881253,1.1530955283137827,1.5878540122016496,1.6237430333311893,1.1140609293358417,1.935090613862257,1.6568054718976828,0.9519211810843304,1.9021186288123417,1.0359117373524447,0.7788594405648702,1.763642720019152,1.158760670073658,1.9886777794272619,1.491112349066479,1.1003948544053375,0.9541565267083526,0.9258680911689304,0.937288055250397,0.9113518431117389,0.9219349626993341,0.8227685415973024,0.8154683285318777,1.0463026481362363,0.9274054428869518,1.0175563370265543,0.9653935890629375,1.1762238053218816,1.594457770508618,1.1338991547958808,1.1429508136238171,0.9415000617226514,1.3547188142718594,0.8697460901358611,0.8564472367776108,0.8309719559264805,0.8505407430944049,0.8839523591369784,0.898391475361196,1.165512019427762,0.9284423644367416,0.754075400891196,0.7587803673004334,0.7731983978529877,0.8071560274429135,0.780423203011682,0.8933298832741926,0.8543127348843556,0.9946536252325309,0.9062583947481417,0.9016512601909372,0.8464476917696031,0.9434757014949734,0.9477845966846669,0.8279706914951904,0.8052382114294944,1.0036457337070102,0.8251352312159216,0.898266786433859,0.7768513631869993,0.7833214946701383,1.1335672866260194,0.8322454637010754,1.0651780462094407,0.8510265676091763,0.8572498111060274,0.8674426964499273,0.6933528132102179,0.6151510157836003,0.573722122645281,0.6041280038263553,0.6350613042244084,0.5711974478934181,0.644378134149464,0.6552860208135786,0.7308485568718536,0.7731744615206314,0.6739441968270224,0.6191252997619147,0.5808677376398899,0.5982523459221607,0.5498384911303623,0.5366109310907679,0.6827695915472126,0.5807061563983629,0.6182626818390184,0.7210846375178913,0.6481314759138039,0.713838805543348,0.6748926277444309,0.8018469271180495,0.6899273850501321,0.6760060264023342,0.8195402916577272,0.7301081726381002,0.7637110765461063,0.6868787829610707,0.6979755759502115,0.74569390326545,0.7534149223418565,0.6679950194006656,0.6739983297498844,0.6797505349512193,0.6771790379674912,0.652917796714168,0.6304249912060462,0.6386340849274514,0.6584678665738521,0.6981517947078006,1.276537204919676,1.9190434174750406,1.1517503218773524,0.8851763066808985,0.696757505382092,0.7417789173742675,0.704539275094231,0.6981879769488807,0.6654687714699835,0.6522169664169981,0.648072842016388,0.6461605675019222,0.7970178282809508,0.7361284407890386,0.7466703570210231,0.8756081113637827,1.0231891902777506,1.0873435508959963,0.8297233797326422,0.7207122528578745,0.6883381727606034,0.6981451469016946,0.7102482685813779,0.7520005021804732,0.7283911714951747,0.8973217228347004,0.7406174581668806,0.8002790495548692,0.8208465852112665,0.708222536806036,0.7212234700170359,0.7122429131184731,0.6884583226634134,0.733152016522097,0.7210688543631977,0.8881472315440033,1.2432823925304195,0.8815179116985237,1.510919827885787,1.1060729083403884,0.9322747149735738,1.0062469653440311,0.8995935101425958,0.7192321461288621,0.9105591955878276,0.668691207280997,0.6661503832210467,0.7091184347672392,0.8723198374089116,1.0510138697261904,0.7693938227321117,0.7311217521238149,1.049773038351875,1.0078711878168372,0.6994430306317212,0.8212655856244587,1.2205072459889958,0.8615471744518504,0.8619188032135927,1.0401148848643476,1.0905513516459842,1.1234254245113606,1.0336871822118239,0.9405911516693799,1.151267286365449,0.9312813848639399,0.9219912491483461,1.0661891240032708,1.0929167904198434,1.922258279897891,1.3268123112148542,1.9978646790562566,1.4342854139553365,1.5933592280183513,1.6063546124430317,1.572733347004633,1.333184565295748,1.1028972675040212,1.2622472093194368,1.1483355072974224,1.06820106988285,0.8901355749104175,1.1703263121047853,0.8105853545634093,0.8187631700919926,0.8333834829754928,0.6933652361982383,0.9463875139812824,1.1567997066698947,1.4023606609571115,1.7370945609975088,2.0194159853362668,2.0501851508629403,1.6194458360204602,1.808597851965031,2.0629938435170168,1.7378280690447454,1.6314422002121998,2.0094133386610014,2.042108992426133,1.6005051878969783,1.808095617399775,2.0646569019214938,1.8044611817820186,1.568089773216922,1.7846916645954916,1.5082957449142498,1.6333852303649072,1.57033784660856,1.5485092637704885,1.4275410533439798,1.1530173553395704,1.2061294060316696,1.1013133003843847,0.9731199336856446,0.8331908468592123,0.9193525368272889,0.9324908702885638,0.7706935742028602,0.7659573991717403,0.7986609161334748,1.0003912108212698,0.9071268007057274,0.9765276472373422,1.1468087821949942,1.32971417711937,1.4008445711859088,1.234868349744196,0.9394561045507986,0.8944155769486986,1.3257462023433029,1.0921841520659188,1.1519799991893778,1.0169435135192562,0.722223678432972,0.6929180339534837,0.6788822778969572,0.8088016082887997,0.6590858511317278,0.7701478367835871,0.8330587729497041,0.8557503053414945,0.7086688733424932,0.8684016753728516,0.8631254349592377,0.6710120583365257,0.9445726699845091,1.3116427059330051,2.0244213105566806,2.884625751091671,4.221288857602474,5.207549024584862],[1.3649814666375915,0.7556716713672867,0.755756354178536,0.5835687106965128,0.5512264256171716,0.5728829759427123,0.4860899392992432,0.5412393933699309,0.47064776597289987,0.4597019921379659,0.5196448153555997,0.586598974668186,0.5384072127547631,0.5587288074378598,0.8029747373615328,0.6464375182178784,0.6122186455826426,0.736765431517824,0.8156174314476929,0.7629876671834241,0.8133821808511744,0.7728414968717197,0.8801965382279668,0.9554042794128159,0.753406200457432,0.7488527576289612,0.6831148613302286,0.6526738587254443,0.6648941956891457,0.6375478619221847,0.7605174730456183,0.6820422535893563,0.7884777894567773,0.74332536292365,0.6877106141859658,0.6822504158565859,0.6644472954474709,0.68463537356862,0.6169546306738062,0.6326097298785931,0.6373740913076971,0.7451133746305352,0.7763135563421253,0.8685742334561305,1.064993243653408,1.492633485324172,1.4997515074633085,1.0289258495705351,1.8409087409172313,1.5154269537359426,0.9036054799904172,1.9090267036677426,1.0713471851686316,0.6979330350795899,1.7130605062399318,1.203715598953329,1.9802693530059232,1.4366344610131032,1.0646828507716226,0.8897361622033237,0.82268493810607,0.8757118162125028,0.8622053722617913,0.8953918143021469,0.7781502560783448,0.761207378984811,1.036085765532794,0.8934205557497416,0.9976179395106168,0.9532393099869514,1.1664348864288525,1.596383396370673,1.149912007890217,1.153357187753402,0.9046783087548216,1.332316941754633,0.8020285735446643,0.7779756413969875,0.7413395271321984,0.7647654534465836,0.7798497844530884,0.8434018190737059,1.103019374119252,0.7723291621472758,0.7281873383843345,0.6840136789992758,0.6929732118899271,0.7147149036312215,0.7018997949890823,0.7669282169788159,0.7745539680240694,0.9574744448706056,0.8413840208169935,0.81943662338697,0.7739621793422621,0.8845546843355735,0.9056066654418211,0.7203484956552751,0.690954591567097,0.9809235546047906,0.7398766690590796,0.841711391335616,0.7077951315273524,0.7606785363170007,1.0448938827503775,0.7318284541370487,0.964753219661363,0.7936166704737041,0.8043175557338446,0.8264370104183941,0.6968080080222279,0.5685950341538323,0.5134203684259141,0.5208935113364135,0.5789276079607584,0.5027815600054202,0.5820907770974972,0.5843970415974807,0.7429644154031636,0.7522669061078985,0.6526591139706842,0.5775982252221118,0.5282003034817647,0.54573587553047,0.49415164320204347,0.48292288438831754,0.6951856239432785,0.5642940218989098,0.5988402030701039,0.6909438060839049,0.60795913457115,0.7034538786249902,0.623870251391306,0.8179841347313962,0.6413677918185638,0.6107723511976367,0.7546251837751392,0.6663701450546421,0.7481349024817107,0.5992148256567817,0.6226036672672214,0.712436789846128,0.7203835903252851,0.6003501909716129,0.5840875932380033,0.5826091183012795,0.5715147063557917,0.5513855186747112,0.5458651082534739,0.559289741625889,0.6329655331094899,0.6560534666046022,1.284375691894564,1.9453165371398689,1.2078277708523788,0.8099158479268919,0.6498337765523488,0.6879528706370592,0.6257036678778857,0.6741299814616504,0.5802241753681177,0.5687661847301191,0.5453635658393302,0.5672369851854548,0.8021667348304181,0.6595071122219379,0.6639789763374903,0.7577991171794372,0.8979312201853171,0.9761922935991517,0.7250562196041603,0.6077793380210704,0.6011741671396932,0.5856933851810147,0.6188544813924274,0.6964222439711136,0.656711349609051,0.9113445212012544,0.6947909251227777,0.7722226728309124,0.6923679305026937,0.653664792972812,0.6655877597663851,0.6554049560108114,0.6409837304087621,0.668086964347008,0.6378600031698504,0.8199920626229766,1.1973246708979586,0.8235691725079073,1.4053634889889142,1.1873256765561555,0.8660156942739295,0.9788542528320591,0.7946139273947433,0.7427834030322821,1.0045563416430197,0.6667496117466954,0.677167361658735,0.7297548484987794,0.8475573375171811,1.0253167497151554,0.7849447831010271,0.7499233926169566,1.007567547099163,0.9968367317567123,0.7462019217929201,0.8370913413259138,1.2024759889921515,0.925511082412573,0.923674902127123,1.0747080584458315,1.1533016306997343,1.2079409371112546,1.0781448039257127,1.0102202011356611,1.1584071046393731,0.9336627016060588,0.9152565851500819,1.0621582141309072,1.0656683111920031,2.0316493516672156,1.2058372723574298,1.782943009054752,1.3258581878537503,1.4990495393482566,1.5187033244370474,1.4689472795624456,1.2648260000108273,1.035428587377709,1.1547382745512893,1.0342748557501278,0.9649273247080523,0.8153475491298705,1.1341211521694015,0.8216551127521498,0.8973976120461544,0.9538465398378687,0.7328588069218942,0.8938920624687212,1.0705361883042759,1.3043277020472346,1.6268564074830474,1.907009671925057,1.9493138013268907,1.5341983423089216,1.7064946440143962,1.9444166679197477,1.6756657797740617,1.543770678873499,1.8919014749027365,1.9310658328059938,1.5370896750327327,1.7072535348143418,1.9482651061505756,1.7504626738906797,1.516844149055608,1.6844749453943044,1.4329973149443613,1.5251917582504995,1.4634491481815806,1.4257513810292992,1.3306403528335622,1.103609954082354,1.122649371664914,1.0511009044449249,0.9609312295572922,0.8212155779144175,0.8822073318289604,0.9276024236391816,0.7987485302971622,0.7922405511554376,0.8095719179840946,0.9798665090803383,0.893516714291763,0.9516056409235082,1.0935194758589721,1.3108991974183912,1.3427803076948819,1.1981703892381173,0.9537672977671778,0.9017988303583041,1.2885701905061706,1.0680757648580819,1.1244473273341058,1.0456099654766537,0.7669175575736727,0.7219122875928695,0.713891304617786,0.816033523970413,0.693084100954075,0.7921016040547469,0.8759496951152633,0.9304049386532447,0.717461457348287,0.8538048508254624,0.9139959287491755,0.6750338564101764,0.962185716618976,1.4518163433542608,1.8488358383320296,2.506675929229896,3.695160548745681,4.909731899026338],[1.50630303979992,0.9456676770893178,0.9145656801044739,0.8442265489322351,0.7946788027160648,0.8158860360178548,0.7696771226781787,0.7818781909740987,0.8016814801742511,0.8245503730918753,0.868705106567303,0.8574725466972364,0.8424738817098949,0.9417181937551831,1.1535122739261188,0.9610128604785494,0.9481246136655381,1.0506156913195221,1.1186837871261908,1.054895712009817,1.103763740075748,1.055235700420833,1.1259497313696583,1.1395609352350293,0.9968577929482202,1.018403287841887,0.9966465570862417,0.9783886616633369,0.9665356944856814,0.9110879420669957,1.0275701835627533,0.8992465621382237,0.9631107786777618,0.9532723312451612,0.9150240569628971,0.9539881801381773,0.8898425138236653,0.9503368803739397,0.9295657388432522,0.9018011292951785,0.9461515023795974,1.0340708365535691,1.0344906862438268,1.0981162351821823,1.3279906029984145,1.675813305361684,1.7246077797231754,1.2853793562778177,1.911335753605601,1.6423358418911376,1.0876746843237197,1.8810226072442755,1.1790957489455298,0.9431385451314755,1.8764398116991465,1.2560151437278422,2.0960795600760886,1.5780792377935493,1.2468557179733317,1.0807583411105701,1.0802239098586384,1.093550558158445,1.0673200952640918,1.1286346172003976,1.0270773368781272,1.0190190508976453,1.266109936986043,1.1453325010718813,1.2462629086396113,1.228517443769204,1.4112297546055235,1.796995280587842,1.3757515258156352,1.389285386399881,1.166421502647853,1.4384361190130077,1.0545472944706422,0.9880288133261182,0.9665676675582027,0.9737669295707488,0.9636739820497352,1.0025570510593984,1.2433661947226484,0.9997424088002306,0.8486112361076994,0.8659800446402759,0.9215797332940063,0.9258945931776983,0.945848820769945,1.0112426490100082,1.0140338781054221,1.1532822944658387,1.0729656138759909,1.0487525899643386,1.027827297046054,1.135385935988482,1.1813026216704312,0.95357182164237,0.904033157068108,1.0226102055444009,0.8700643083134256,0.9019286195573495,0.8232867919344828,0.8229576481362496,1.2074473367719447,0.8994090242927137,1.059427504783696,0.9359351091031812,0.9683555111299815,0.960318994559881,0.8465316884051427,0.7702487773182575,0.7638177268542032,0.8291142813297735,0.8801669925376941,0.8592776032020186,0.9202152582205962,0.9039383906542549,0.9929227255633315,1.0475360735167043,0.9460747445315993,0.9054502742079892,0.8872233121995783,0.898345035764005,0.8263467145348209,0.7834347108424057,0.8857386931620991,0.7774523941243814,0.7884874290034207,0.8195878757355479,0.7960912443781717,0.8103701764064172,0.8027575212904458,0.8653128604159432,0.8500004425477659,0.8497129975977235,0.989660805696155,0.9443626299906928,0.9841538775580525,0.9190452240481745,0.9274938592973704,0.9877086511896646,1.0117674364413167,0.9280868169502945,0.9071513176021574,0.8964411992099958,0.9126047306935924,0.8421656986707013,0.7920707236343549,0.7975189021080468,0.7709270103546184,0.7996852204214855,1.2876077310636131,2.028205855093562,1.1981295606964861,0.905296919601832,0.7769910222994079,0.7982773149620637,0.8066433694072231,0.7912882120858372,0.8179440023100472,0.8267493310138141,0.8597126236363813,0.8208678315415754,0.9123887203168566,0.9494224014982682,0.9001174472836895,1.0053994681868677,1.1262549493453677,1.2247158359630208,0.9947460533713209,0.9207990022994116,0.855902381248165,0.8646624816328112,0.8393780398219147,0.8412885428072963,0.8346826947181452,0.9868177323372923,0.8490530674096565,0.8445232579032026,0.9375060109548597,0.8255317683439096,0.8261105350810233,0.8212371155413263,0.817843486385246,0.8666210886030212,0.883695924540483,1.072522341327638,1.297313957846647,1.0105859093896084,1.5568763910005923,1.2526156474716614,1.0646267533229143,1.132602960092433,1.057761434955984,0.8639116046672115,1.046779433474153,0.8135094126462102,0.8018297883765051,0.818462570153852,0.961532334517963,1.1059499625976281,0.8772374102758548,0.8581543590462072,1.1086563952948016,1.074451600652299,0.871687144757638,0.9533421883362025,1.2538341887558824,1.007276437132582,1.0357357059335832,1.1662615534806373,1.2232731412464797,1.3283972972833238,1.1994451287942387,1.1307743496449847,1.2552154223884011,1.0852112771287508,1.0507385875435709,1.1509136427296296,1.1720914184743296,2.0838808341790185,1.3181658494118849,1.9254806396804034,1.433601732289955,1.6014559540505444,1.6221015023514644,1.621328040949649,1.371842931181986,1.1642322656352195,1.327624462929728,1.237348824938974,1.1702076403200934,1.0148114767659797,1.2776492359121723,0.9168914272876348,0.9455294393968502,0.946615116220705,0.8308116420601274,1.026700947779612,1.217204694253491,1.4436765301838344,1.729508469254618,2.001228180253936,2.0200485547373783,1.6109481974452005,1.7652457732653097,1.9974693700990793,1.7141501835208452,1.5960888515806593,1.9268858123137325,1.9454686232893108,1.5586591786104245,1.7406251059196467,1.9586370316168544,1.7352392885135108,1.547523509720675,1.716598318291091,1.4905390971217087,1.5905319109371525,1.533512011438107,1.5199261454442496,1.4147780947420825,1.1908228160682868,1.2200716041682695,1.165170166781852,1.0739680486492322,0.936484479627091,1.00585786791762,1.0615166397974451,0.9324565343916632,0.8995592067962134,0.9295600123765164,1.0960118923976503,1.026433004781619,1.1114857322103164,1.2481926348108132,1.4196444886446788,1.4272652987520613,1.3605744264644102,1.1031826795622222,1.0859957815478236,1.4674361392882078,1.2197112932268155,1.2328821980378688,1.1089197220896692,0.8803254800229827,0.8593600395197709,0.8347400843068827,0.9065041829260786,0.833062702026384,0.922646562904374,0.9871774918751922,0.9942587630823441,0.8621120360029223,0.9930705876476534,1.0303251918137901,0.830902976986524,1.029300470092616,1.493892683233418,2.0016626760222653,2.7339736016669574,3.7852386222677685,4.938829205328664],[1.6961583909364832,1.191351839127705,1.1649043543105646,1.041009079007037,1.0202357896949998,1.0279221840951371,0.9614034375602368,0.9926232573133125,0.9824862704553627,1.0497019420314433,1.1465267659767993,1.1526433540175616,1.1750379690009383,1.2560977556593558,1.533310197778939,1.3520607988085271,1.3143282738293949,1.4356977405085056,1.50169584492435,1.4546306789897818,1.4971110427145715,1.4749540117081446,1.5134895980818552,1.498340276508254,1.4148770418550791,1.3925163370875995,1.3488214965410805,1.3188136979667568,1.3338128684378672,1.2715876326927966,1.4831562179865752,1.2979619785023258,1.3926298392043444,1.4082172070547918,1.346775045868771,1.3852802516564504,1.2594125631885766,1.3283162702015092,1.2854487060238524,1.2449456302882207,1.2591450601424867,1.3816974249555003,1.4268749124054716,1.4240723335890493,1.4910781590832856,1.7447112199319017,1.79973030923898,1.5468619302874584,1.955001734351394,1.721182683836083,1.3442392234466374,2.074400162946408,1.464484925279694,1.2928041785909923,2.120052148347472,1.5902491473439302,2.4442422429317148,1.75765728158251,1.5603734762012809,1.4782170397376353,1.4637249424483096,1.5261541409485415,1.5515679093361574,1.6123853193449162,1.5197681477809741,1.486435225196017,1.6679992161047528,1.577022742642491,1.667115376473484,1.6585029691616842,1.8095755367754867,2.2150290043928647,1.8099264719522172,1.856098480302454,1.6172181548434794,1.82445877885219,1.5175649829973066,1.4945274145616487,1.4235770148022364,1.3787365620013665,1.3256390236546116,1.358714720013309,1.4761194694162358,1.3203140598909784,1.1634859082037476,1.1884332887335138,1.3267453304420032,1.2937812964119748,1.3821642141849817,1.4314084322573,1.5002205950991858,1.6466707984418634,1.5963437369236329,1.546835386854637,1.5073633437481404,1.646747117923523,1.6275272324902974,1.3804054814358588,1.2599188904545278,1.182718200654965,1.167740482307859,1.1267902378065282,1.1128161844323003,1.056382663005113,1.3444365332497255,1.1457811007339855,1.3296942590597556,1.2218997541530872,1.2157346139702732,1.2192645737556433,1.1173579680469683,1.0155036616188342,0.9898645638629368,1.023016874089543,1.1498907843630106,1.1045753352701553,1.2082668812994783,1.1730930124273662,1.3831148499066683,1.384807500527221,1.3214416351880869,1.2360533454883411,1.1282960779191131,1.1101744111974994,1.0073457674194881,0.9711882404798561,1.120676136875758,0.999811765518599,1.0481649011560856,1.0622889200141519,1.042284074063265,1.0739819393358725,1.0630694788745647,1.1132064291503678,1.0896729426607716,1.0812216017078784,1.1933147596803129,1.135464528445397,1.1444910769943617,1.1099613722574575,1.0828461672861227,1.262319085825461,1.3061473070610334,1.2027220537811654,1.2157842465953401,1.2107047970077662,1.1540093312486597,1.1245442696559584,1.0358919235327675,1.0226607150632314,0.9956851348054715,1.0036121129152304,1.3444138785478408,2.013877516093271,1.2115365666679752,1.098273092848684,1.0372231744110156,1.012156681495151,1.0868360355157374,1.008186262260018,1.0661199786702353,1.116025050414126,1.137648502502994,1.1266239329461223,1.2708823152346933,1.1280604695342773,1.1554757829258089,1.1977339629059611,1.2834268375509252,1.3491437631088643,1.2035173435287763,1.1572628957581501,1.113146757449665,1.099728855009666,1.091738778570405,1.0887197664463162,1.1148750697959064,1.2240381239071896,1.1347143439583849,1.135918126199406,1.1432197102995576,1.059485392236317,1.0736443916252518,1.068661814999364,1.0633874860619483,1.082362376301838,1.1467898975596862,1.332913597156846,1.425408357327823,1.1962174350651609,1.7643677334977592,1.517909111097453,1.2819551172773431,1.3397663198592842,1.2561136442925604,1.1133402425604837,1.2760808098987555,1.0927499301685188,1.0834294656437684,1.0981338231276718,1.2424580720398202,1.3679423016103711,1.1653394776204677,1.160559734074697,1.3821282397134287,1.3444913468205024,1.1807140724453866,1.2784240897394845,1.5221189891284568,1.342485511412411,1.384557535496945,1.5127865379566614,1.5551841121623313,1.6934641204943643,1.5970804933506717,1.4640224174392236,1.5780837607641904,1.4246261163442246,1.3964604829116827,1.4655444290489616,1.4809012908197712,2.3147242479118577,1.596078317475095,2.130395306637668,1.6932501391228467,1.8717681384596598,1.885038307138303,1.8957851402107375,1.665794375586407,1.4490492120372702,1.5920792557619323,1.5277523580354448,1.4509226179731392,1.3062165101553076,1.5820855714719428,1.1781270522521015,1.182237819101193,1.1831937150931249,1.1089941441475453,1.3070047501684305,1.482058372498484,1.6954609296745866,1.9561260914602987,2.2385650717357324,2.2256774064942015,1.8299027048111989,1.991990039666653,2.2097790656650895,1.900708366421467,1.7940329093167402,2.1058037404936134,2.100343289879952,1.7662015472365946,1.949090047530493,2.1424019795027234,1.9160169432320755,1.790917903500609,1.947346562645699,1.7541080666770654,1.8420178617122438,1.7745407572576954,1.7887784598515593,1.7031783016880073,1.4860598856535554,1.4905795148644265,1.4652592189215266,1.3785539522205008,1.2391977054323349,1.31684712485674,1.3570672733306923,1.234341854864955,1.1649115314336937,1.2268973144469724,1.3665516859934839,1.2959770691482435,1.3833791956574695,1.5043427154782838,1.6295477930744051,1.6989649992341667,1.6163601932851668,1.4183675082575142,1.4023653968347878,1.6857390486569122,1.448484926212455,1.4328133195117767,1.280259843017546,1.1351101958537226,1.1016908766009978,1.1039257493759218,1.1267085941150028,1.1136519238330087,1.2196230063500895,1.316518519993932,1.2566535362314206,1.138658404588122,1.2832256000613986,1.3398781192559268,1.092717545151488,1.2627814035322156,1.7482564998923267,2.164677387307441,2.975984399709185,3.8474938666395584,5.110660595414549],[1.428474502384927,0.8411565394046778,0.8098006511377729,0.6739648021433393,0.6605104135387176,0.6746449220973982,0.6133673088289446,0.6553282237918208,0.6196500772769733,0.6487796777552476,0.7252102947107505,0.7658696032320917,0.7599938070177711,0.7813317535607284,1.0103442968274716,0.864894801555409,0.8359208518399204,0.9629658279148591,1.0456636027842565,0.998013783544786,1.0327846406635557,1.0295431499267529,1.104627505175227,1.1864831264509872,1.0128452043166407,0.9977233242783212,0.9129995293193615,0.8864395198683259,0.8862328645309748,0.8383214996068612,1.006994219262593,0.8830006758710702,0.9972513204226607,0.9725174608729877,0.9149156817876206,0.9287301305784151,0.8529525106302835,0.8995564401029347,0.8370458712095806,0.840943304523453,0.840496002095347,0.93690901798111,0.9864165854967324,1.0206350435985,1.1244432771811783,1.496711571040196,1.4995587537614845,1.1546358793911908,1.7924106243253641,1.488932821198764,1.0480721771471795,1.971125304535386,1.2110724423478725,0.8904473450613941,1.8196604152763198,1.3923568797061845,2.2148296272545576,1.4980504948090576,1.2636034744611757,1.0999190211892576,1.0386440665400023,1.1282047861889126,1.1313234234370202,1.1812576037440607,1.053316712886933,1.0201659381703099,1.2416933371579384,1.1215947123026844,1.2228032022393653,1.1880087539058484,1.3709605269063683,1.8251851672980797,1.3556087288432543,1.3876901196669886,1.1426188727756694,1.4963763079570689,1.0572203363770882,1.0431718140323714,0.9854708871122498,0.9841724640135836,0.9588782969285978,1.0179234168719389,1.2039553337043305,0.9843528101611967,0.8721837703897738,0.8553206581809567,0.9213396427938415,0.9162232748812147,0.9514122139362635,0.9859848015472575,1.0352714889781354,1.1951308491881372,1.1081781231587868,1.0721313193682693,1.0133154081396138,1.1096631155930203,1.118244460934909,0.911793171145047,0.8452515201377109,1.0318864253588245,0.8568809865898517,0.9387126351207784,0.8434341289075882,0.8542863385567168,1.164289188684224,0.838958752655943,1.0413261865035794,0.8980753614760464,0.91022531996161,0.9178983499323001,0.7973162272873511,0.692170826742147,0.6428009473104884,0.6724516623400403,0.7699895002231084,0.7067403643888145,0.8011361984174522,0.8163328764760861,1.0211936574893297,0.9923323177797478,0.9195208204393894,0.8365187153616428,0.7470085406594329,0.7256121894361647,0.6512437543517013,0.6404498508650613,0.8250140552341845,0.678045486975699,0.7035177622669301,0.7967992846026621,0.7082882670184664,0.7983585463051964,0.7463756203653018,0.9096103389131108,0.7792287676602986,0.7550627430252194,0.8666576727181481,0.8096982681465489,0.8989233808120078,0.7665357036784671,0.7695195574246478,0.9304248995720372,0.9419266069109922,0.8203949984522303,0.8051738406785042,0.7947334627162518,0.7727493768990586,0.7372896763002259,0.6998466257883703,0.6876507454477838,0.7367632003092044,0.7411431743785106,1.2840876633238048,1.9762795585411825,1.1819525226917,0.9094652893566112,0.7609108531630783,0.7835494319605274,0.7714296072534788,0.7731787370468979,0.7330061594904962,0.7620590716821004,0.743932946976233,0.7673644529454839,0.9776581877142609,0.8093093148226247,0.8187811152356673,0.8639428030250134,0.9880354014015016,1.062049300802479,0.8600400924381113,0.7812723179398254,0.7745485442563024,0.7537625759935672,0.7762521385454556,0.832344853127831,0.8140410951998097,1.019026189404965,0.8552557360778448,0.9050277608902696,0.8274714663931592,0.7832382850368347,0.7986180570480056,0.7876534341185311,0.7814710536114645,0.777707667376651,0.8004356904885971,0.9866728861862861,1.2457912782722906,0.9339305305788438,1.4982308459836708,1.3348232601721293,0.9994729500620315,1.1000664742540105,0.9197545772640681,0.8110315951125464,1.0602914021772203,0.7643685533497439,0.7564852958528469,0.8085571512514529,0.9395208240032749,1.1006416363607543,0.8571293548065145,0.8133045723739541,1.0837102764340263,1.051207706531365,0.7965093992575625,0.9000573529962814,1.2476923199103804,0.963861760253147,0.9733247087187925,1.1307354848775881,1.1903656084370635,1.2529442242060278,1.1385499120342917,1.0432875706570148,1.2057272023075034,0.9862171743220131,0.9824633946906987,1.1149974601037003,1.1384059529327952,2.069865550132184,1.2983665723112838,1.9255808673168735,1.4311825612315852,1.6072667788282529,1.6357454412182055,1.6254930101571505,1.363434585667964,1.1408446441131068,1.3019570955197277,1.2051362060909163,1.0888046783324627,0.9442554790685032,1.2557358228314628,0.8775383442243492,0.9085158036118641,0.9655942461395606,0.7943867061225062,1.012579413868799,1.2044245732668803,1.4328102336786057,1.7459890442824055,2.04863039704065,2.0581558676112754,1.624481592170727,1.7952472472853542,2.0344483801392865,1.7332517430513483,1.5970690504938567,1.9474442672762298,1.963519462298988,1.5613947679865339,1.7633365856236662,1.9980467718027604,1.7475347667961896,1.5572703215328685,1.7455747461727555,1.4984248360794328,1.6088072757024874,1.545490413433445,1.5325756233261423,1.4243971267732936,1.1749028211390016,1.2114700662230722,1.1426204799844792,1.0363313174870503,0.8931319303995305,0.9721688280988454,0.9948245752589615,0.851207751213021,0.8274131635469275,0.8514960535591148,1.0226015753084108,0.9152541466814527,0.9980292084643034,1.1454152571099014,1.3433017367638331,1.366398597126441,1.2427729108446512,0.9960493720244457,0.9664305174726092,1.33432139979041,1.1045320291572291,1.1391299873175644,1.0608403837017941,0.8240792614516423,0.7912967618473637,0.788118385039095,0.8723195066510869,0.7662272791021484,0.8863439427450228,0.9712809352884105,0.9917369544232876,0.8060477066591315,0.9539894327498795,1.005958836899919,0.7549664774118082,0.993126140921088,1.4961269925307714,1.9772344599404277,2.7693615531004254,3.91381107723649,5.216792303425484],[1.5821296550477846,0.9908163526462219,0.9522507026268461,0.833804498536734,0.7872660846821974,0.7682538375518415,0.6855457475916958,0.7376147164123056,0.6537108627943312,0.6381483462284395,0.7001120654038319,0.8166875855482046,0.7727552180684071,0.7043461806454471,0.983443705757098,0.8987607864128663,0.8007050555761711,0.9502825752722519,0.9883793685492153,0.9857973842803729,0.9933337091187765,1.0186692313355703,1.055494875752325,1.1083572066517993,0.9964154242792987,0.9471779590444525,0.8698658723701298,0.8513046084087174,0.9017130871403276,0.9023667209352749,1.073568815674882,1.0121170454736432,1.156101724798198,1.1527153996051445,1.068759361801579,1.0162495289526121,0.9839555228936322,0.9587537639287188,0.8633299985300908,0.9210971123470917,0.8704616827681119,0.946003769037491,0.9816154503426704,1.0423452399069355,1.173559030833105,1.5796164876409955,1.5790214943171161,1.163392888751361,1.8542712254595641,1.5499797260877242,1.098804801162092,1.9868030631774778,1.3361568077118835,0.9679650843748082,1.8497999768994167,1.5157144455062883,2.34287925483116,1.5335034882352776,1.3793213992616271,1.199096567431785,1.1194283154655342,1.231444246699645,1.236988648043191,1.2301690515367438,1.0811813015908827,1.0603838216873507,1.2119503943779462,1.1073234383090844,1.1444015101617224,1.0972344526235291,1.259098781879795,1.7122603636250855,1.2935211382072227,1.3689473431096288,1.1673441786534169,1.5684512434022106,1.1462327832651733,1.185444380597452,1.1263645662374102,1.1100955544298419,1.1101779003805965,1.1337254506197076,1.2855509201329895,1.076374015184453,0.9858211606979075,0.9847653195495953,1.0276539779446296,1.0609168939340199,1.0528222439792045,1.1446733718914233,1.1471316254358173,1.3341776027415269,1.2255174190078477,1.214507695259906,1.1043996249026555,1.1908154453515307,1.1392513009858913,1.0594796262608857,0.9913397421195416,1.1587390086164147,1.0101866438003184,1.0572127836079932,0.9574156745609915,0.9627705378391462,1.2953985367250718,0.9344807213916196,1.1027680277634377,0.9592625830209389,0.9958813858644046,0.9488561467762758,0.8544447549179648,0.770136701917969,0.7059739615629446,0.7129045612867029,0.7263112170285266,0.652281371380916,0.7346441337770435,0.7289541107104611,0.888761788193378,0.913750904965268,0.7841248522949146,0.7096361803788266,0.6387288309296202,0.6706653029575648,0.6560027999172868,0.6770146686078988,0.8286245727850674,0.74877069466463,0.7624226942028857,0.8503773072910398,0.7932596305782776,0.8728226240783858,0.8063708491979716,0.9808243472791883,0.8056489468654624,0.7657677465429021,0.8425439291559249,0.7828068338785032,0.8642858199484814,0.7571031784870251,0.7537007772983656,0.8694801813573587,0.8743265222450965,0.7770943491600204,0.7958028416113996,0.8119277644648141,0.7887164262314312,0.7759341532196171,0.7683507829786376,0.7662846145931271,0.838050989912756,0.8556565366730526,1.415103274838645,1.929995511012542,1.1767976503750044,1.0225643414698629,0.8681909727472634,0.8943414772614842,0.8712961803024611,0.8808026274276123,0.7901646665398028,0.8115880772523724,0.7462225939640984,0.8136422641761105,0.9831221639433851,0.8100818269075629,0.8268514423502635,0.8694905326543596,1.001261329733834,1.0635836716507314,0.8509675784037046,0.7530879234970254,0.7791018232840488,0.8043732253596539,0.8664911013908971,0.9334124860152483,0.9149021386746622,1.132605113873903,0.9558398982804853,1.0058620943530328,0.8885302761629135,0.86982121730636,0.8734413066768546,0.8651401140768468,0.8513509790770375,0.8601184423968462,0.8789269813813341,1.0165584688333194,1.322740025726035,0.9990283992746746,1.4948617512440245,1.2833257888347025,0.9870001891702825,1.0921914864798814,0.9647688283336541,0.867036064328214,1.0451437783772002,0.8364849837155156,0.8548564495448027,0.8916953320638322,1.0082230047521477,1.1448580297926054,0.9326675724872079,0.9158446562977974,1.165821112500027,1.1268681647125567,0.9360154397564,1.032807626888434,1.3237119653285758,1.0693507043361064,1.112266454053322,1.2407832909644305,1.26987090913648,1.3397328127892631,1.289232877105498,1.219035747870345,1.3601649109734222,1.192406428464918,1.1475822706782672,1.251706409285916,1.2674759547787402,2.093986897948233,1.4739331543952736,2.0711062631443067,1.530586127978297,1.6878983541466672,1.6939576789589048,1.685863861448768,1.4542280469710591,1.235070861577313,1.3814859357975309,1.2625820434861572,1.161501423962369,1.0254140794497262,1.2956612159374574,0.9794382978650812,0.9992696003085704,1.0260648952576983,0.8885329136877864,1.0491709038846913,1.2532148105736352,1.4806253753381151,1.8014077717575594,2.095348454164222,2.105729209380394,1.6736655061718004,1.8562513697176122,2.0937073163312654,1.7613145613614822,1.6537337830093322,2.025663235524214,2.0387141214133067,1.6269511973273425,1.8508368569694174,2.0894350846666163,1.828269035626418,1.6501777180966688,1.860080296616695,1.6092950253098668,1.7119333656353835,1.6344281316893943,1.630627099610902,1.542387200739037,1.283617521424407,1.314347142182721,1.2526605557578059,1.1581185218809558,1.017183314755994,1.0893780324772966,1.1265103643742678,1.0050556154293844,0.9738582652509143,0.9889235344286507,1.1832404967369397,1.1185285150464837,1.2125931790480013,1.3710200841909894,1.5122267452503648,1.632798575824661,1.4465494800758434,1.1548478414487846,1.1423247323480363,1.5071650161407075,1.2953460276722266,1.3422361700693097,1.2246732847912112,0.9561712275265809,0.9387209243104979,0.887625501868461,0.9493779481548328,0.9130590975748611,0.9588294481556983,1.0541533966408232,1.016467760353369,0.8992187000373063,1.0828306937604886,1.0951861439311474,0.856082749970597,1.182948780932928,1.5771058244437393,2.179566141861317,3.10906684303518,4.381363722594828,5.564105138798194],[1.4853555692942508,0.7765341016606572,0.6962158967660446,0.6173106029774725,0.5577606407916935,0.5815881301138484,0.5065257890615105,0.5305885602254795,0.49589216956526533,0.4754366637881882,0.519443076120412,0.6208168079083162,0.5426305042965957,0.5320501286602708,0.7588448757208597,0.6602308683422945,0.6334085868298117,0.7535449613576428,0.8262573491808017,0.7948777415901767,0.8419593408392316,0.8247312022719228,0.918525309313613,1.0252414483658592,0.8157604365526607,0.7991663411087325,0.710842355623419,0.6653958014235167,0.6977935445809834,0.6801490977275055,0.8245320632685603,0.7469169630247048,0.8956770395147577,0.8488141594612642,0.7767462532840712,0.753846263173533,0.7125697581617799,0.723507274589179,0.6713234852966027,0.6907107370574067,0.6603042991094308,0.7553378421520205,0.8074805717515877,0.8721673288091192,1.0315576661732069,1.5021569566494253,1.4915485600232008,1.0198402502882573,1.8148928720567867,1.4827675178452355,0.9014773397706264,1.9667934100682727,1.091787658880573,0.7357420970568888,1.7374059543415965,1.2508517685539626,1.9205232220234052,1.5935043550081194,1.1049347216096563,0.9400310388249596,0.8815566946012718,0.9307457616646063,0.9389339221368443,0.9891309507768099,0.8495761067185486,0.8167056394766977,1.0460883600445694,0.9055143401653236,1.0009209502444256,0.9121429878066569,1.1171738827276594,1.5655611881714686,1.1183403729333028,1.188153201302946,0.9322907373424315,1.422713770106644,0.8791244806514203,0.8868328375163556,0.8348598642394486,0.8329824930473687,0.8306396066832514,0.8737910062480727,1.1558448482055477,0.878078113693095,0.7497378317098875,0.6971482759732761,0.7374892067939236,0.7750346810521779,0.7710399845280324,0.8634792383632848,0.8531017162886454,1.0413592079219265,0.9345733363053144,0.9023512332512544,0.8280991342534769,0.9074282848276776,0.8947393999104489,0.789477634104919,0.7375612073361237,0.9800102082017091,0.7914001658100303,0.8414149994486447,0.7484233118037908,0.7418181098014697,1.0579054788291615,0.7620032274658143,1.0014359143139397,0.7774773736997674,0.7808946516773573,0.8344244939879917,0.6676506601020733,0.5717977718727743,0.5130751529647573,0.5236206281941764,0.5882157876964659,0.5110064781590471,0.5806403171217176,0.5979995779262969,0.7824129687514296,0.755102043201798,0.6606936954834759,0.5765549001030306,0.5386345284628646,0.5176525013014444,0.4852809340451703,0.5004053235788056,0.7378015167905198,0.5556704441795526,0.5848590321946286,0.7074971655329023,0.6045006289724205,0.6654009230597361,0.6432525528040296,0.7935044132114469,0.6710994299803515,0.6610825871655331,0.8222783791523465,0.7030961741691468,0.7349940997581311,0.6282420382272432,0.5910117312142918,0.7211422732949304,0.7193674585913571,0.6203827330510152,0.6166253344494628,0.6068270488725279,0.5993692114457113,0.601436575966704,0.5794565860628983,0.5593597663603223,0.6003055491517001,0.6496469104019306,1.1808384517907566,1.97049780792386,1.1834088263005769,0.8125717969200157,0.6727636874572073,0.6944225656940928,0.6645705894369331,0.6396817537624956,0.6176491024088412,0.5941633839407225,0.6001186188736323,0.615572091245403,0.7865645134996915,0.6556909315731223,0.7069155470882287,0.8047411656087669,0.9851341399051448,1.0410748945084534,0.7977027066603962,0.6868613619972669,0.6618380128300243,0.6420638449199975,0.6385087124476253,0.6968540720532456,0.6608242441360058,0.8833266256786243,0.6925191544276634,0.7684764821146834,0.753615135661527,0.6577664788938453,0.6677847286095674,0.6428539480048979,0.6361595214821456,0.6401639762060578,0.6690607099209847,0.8817365198020678,1.2496546813952543,0.8184821413829362,1.4813893364444806,1.2731020294023745,1.0201857800085936,1.0910127637390712,0.8518517285541651,0.7124106947413074,0.8778842984045556,0.642166047261142,0.6329648058653268,0.6727773293620766,0.8437384389641598,1.042311609731618,0.7620647894449769,0.7308319519823053,1.0577186764963655,1.0426823481381584,0.7055982048717082,0.8315243140674233,1.2636633430567192,0.902084182539091,0.8552889654733156,1.100708631829884,1.1846031856366972,1.0114523059669487,1.013412268507899,0.9225984732299315,1.2068973568486885,0.8913542523870059,0.8960915891831519,1.0989998772524505,1.0991668873911762,1.823596072533725,1.3419512597179213,2.0384454758485413,1.423836498488429,1.564432160044985,1.5746002797226673,1.5263735281514255,1.2703057809752347,1.0503568059075707,1.1942708748443078,1.076342056337282,0.9962556617443915,0.8188560520918928,1.1218336275360257,0.8020754917579564,0.823213227064834,0.8365788142159313,0.6714489436743546,0.9127121494702585,1.1170009429266252,1.368832595692211,1.7014108951236946,1.991241559778295,2.021062296672205,1.5902469805612574,1.7855176716053838,2.0277630431600278,1.726331655208119,1.6411584199667644,2.0264937333344744,2.0692504223369115,1.6480983636793105,1.8395276580507607,2.105602391306761,1.8876453488019462,1.645271843306359,1.8545511385911042,1.559220390969112,1.6559334656316973,1.5669390712809217,1.5298907212818447,1.4424976830611493,1.1621847619351329,1.1808246180697,1.0753584101424218,0.9605232494733116,0.803976594828087,0.8966451926265373,0.914681619500499,0.74863632716523,0.7536924532005665,0.7568097244071244,1.0179824618703146,0.8883001197684363,0.9178411764843746,1.0840822938241883,1.2765600898647607,1.315974450212254,1.1348406660572243,0.8711064209236915,0.7640489082315115,1.1658748230066966,0.9704219329754443,1.0753671501779771,0.9986447467050948,0.7349069118815477,0.6735138363519917,0.6516645193524198,0.8301833954141995,0.6060760217049387,0.7541763062620457,0.8101142440998063,0.8369316420427605,0.6979241294912057,0.8224506231434188,0.835523185994754,0.6553023442441069,0.8841060834119405,1.2376941152474306,1.9829922299458236,2.7035726367030297,4.081523291251549,5.2699608980106465],[1.6190388447812294,1.0497848155558533,1.0838035222478086,0.878029324165728,0.9735137372886673,0.9628806178492464,0.9654421488639156,1.0474053524770484,1.0031905358212807,1.0218231850315056,1.121388422736138,1.2333259328808956,1.1730981871845279,1.0652772856159305,1.2141414010011518,1.212688669316194,1.1666160720468655,1.241187758915963,1.2620902651999653,1.2736713406935602,1.281515671018252,1.317963659423824,1.375859371210992,1.4135885828198362,1.3124083254145211,1.2768811662424235,1.1916252004934362,1.1702380190931285,1.2133656542779472,1.2389860123971155,1.3576647253920302,1.3466965722672228,1.4737226734512803,1.4670310449962742,1.4056307827099626,1.327336788458251,1.2994767694208216,1.267613070442793,1.2155895905281613,1.2330780193832107,1.1844608320266397,1.242141240572789,1.2920806891213168,1.2926927162676047,1.412922816364771,1.697451639206702,1.760578305710573,1.394526012430382,1.8949539937448778,1.6427767782640519,1.297251124829312,2.2509816007340926,1.5656982331852307,1.2331212621658676,1.9662495213673035,1.7602844332779142,2.3371913795672037,1.9216146014865723,1.569106295085154,1.464874812812169,1.4076806117347174,1.476734367581938,1.5082689808599667,1.5388135114731842,1.382068301342631,1.3653476126435813,1.4631504363521821,1.3648221458587293,1.4387207879470882,1.3409260524829412,1.5168591530159736,1.8795898446012498,1.4845290416428736,1.5640738789052833,1.4357486502095949,1.8141266068687376,1.4511086712272199,1.4975732503259496,1.4442923456740178,1.3790074130609862,1.365913604173033,1.402799828833095,1.6623054689296233,1.4129039923613218,1.2831106365896081,1.2565234267085565,1.284274071414753,1.3822203074643042,1.3517146328573129,1.4614854127791197,1.4432681452720846,1.535434911029232,1.4930856032027022,1.4756255476840057,1.3732121371232946,1.4298004659877805,1.3828141446581863,1.3804392154031235,1.367879336670119,1.5207011264226877,1.4077126577976646,1.421234987946701,1.3884178233676228,1.3206606299271095,1.563605096421589,1.2815612854295995,1.4024894141852877,1.231014764447802,1.258918926401636,1.288340370526036,1.1648484586212646,1.101356496919401,1.0444674806255534,1.001086913862865,1.0700185337418477,0.9964305248427152,1.0651138750328932,1.0094237228448908,1.179396409719191,1.2103365359659883,1.0815673559578989,1.0131711180683691,0.9309569138882248,0.9554417197465601,0.9354506171739657,0.94939689747362,1.1199564645394886,1.0551581584724488,1.1038603729986471,1.1558121205691623,1.073181470741686,1.1531893213356479,1.1069717346526704,1.2127174165956127,1.0931338271669842,1.0598630028277025,1.1110237452543699,1.0562604838443475,1.082404262449306,1.0432938060504948,0.9507611220393403,1.1072111156209858,1.1335160786214098,1.0908672179913375,1.1158003055887058,1.1417884478850455,1.103617709618876,1.12799178324116,1.1541052773002702,1.1454726450974213,1.1766101685754045,1.1900123776736382,1.6019685757109223,2.2121343955524493,1.603033218285552,1.393737415160777,1.3008046936411441,1.279032542219332,1.2800127579363443,1.2167505293835397,1.1444306048280115,1.1786831473575081,1.094316344308353,1.1705694335150514,1.2518635471084334,1.0747197422656258,1.1372020126436009,1.1669558750446858,1.29329856705765,1.327360947684915,1.1557646028566706,1.0749065016006019,1.1288166351656297,1.1629073943138104,1.2087272635370507,1.285534963550896,1.270542820154391,1.4047220430982434,1.291141930524699,1.3476956510270168,1.265365065622102,1.209262741318132,1.211709232749084,1.1983262477142773,1.1647913278861841,1.1662955655746456,1.1728502486315855,1.3039679486349196,1.497043273643375,1.1954382104566075,1.7423007530322998,1.630846076769903,1.3456935653573472,1.3877722028127033,1.20956405633757,1.1246882164094372,1.2170272317033468,1.1379445521831313,1.1329105826466959,1.1693227617586253,1.2600719877351458,1.410707939178768,1.1982250654570816,1.1710021604468213,1.3924782507250628,1.370506863257473,1.1309445761123489,1.221387349458757,1.5582056924793326,1.274129913844776,1.2516791485775551,1.4419994186426037,1.4911252326659048,1.3826356406491211,1.3791960014640368,1.3183827603712983,1.4923180956644762,1.2830701416316186,1.293842789113892,1.4680102340769812,1.4712843698108944,2.1699032731625767,1.6212701804927163,2.17363828542507,1.7330904455366416,1.8742587305719913,1.8945986800062897,1.8602351082107538,1.6126045744807787,1.409085601616336,1.5264027863500984,1.4035439626808184,1.2742111192017012,1.2016272578910014,1.4828948876725911,1.223097409047331,1.2632647812890074,1.2865662208571917,1.1449297073782172,1.327874986579165,1.4693866758827372,1.6769941699536095,1.999106180033028,2.257757981296915,2.310510877365378,1.9098983331054762,2.078719698697377,2.3079203716151913,2.0129654338025134,1.9035380728901214,2.2721920838818113,2.3016082885151397,1.8907976615551247,2.0939079289000047,2.353143229156807,2.1001702468597316,1.8888626807078346,2.1072609318061097,1.8364880850744776,1.930155957763735,1.8474203167510796,1.8093907478397824,1.7488413352647634,1.487726698184644,1.4897950870019425,1.426286014860279,1.3312388021196655,1.2145669320138037,1.292714876576532,1.2729009261199593,1.1674940788835695,1.168995812037821,1.158301773776031,1.353661532461367,1.280943166869761,1.3240541880569838,1.4794416763310543,1.6296797339692473,1.681111329556391,1.4882701776319485,1.2775448081499945,1.2080090113093815,1.4962276158934438,1.3513058682535548,1.4390915535168822,1.3812092192262668,1.160839377856428,1.1572151737235457,1.171993341392001,1.2882949561731276,1.1114200183488032,1.174673176802495,1.2286140513962982,1.2998496784273297,1.1293244891755967,1.171848109607471,1.219510839631068,1.097939702266148,1.2568017086596377,1.5802202677761077,2.153802978032058,3.005403063278338,4.3815337122137015,5.597986086827324],[1.4024700745644803,0.7108855678382365,0.6757234057940655,0.570832964952999,0.49609207849985604,0.4889179646449667,0.4014354278606585,0.4555723099536807,0.3900965070470141,0.3640184649338055,0.4392174341558915,0.5505300505139377,0.4542433552324111,0.44387249578553084,0.6584251906919658,0.5849130776521939,0.5509566856469985,0.6740491234395022,0.7538038395947345,0.7219674416549836,0.7933685644757533,0.7574785654536709,0.8996694364182268,1.0238798337973483,0.7516592528794269,0.7432872876912338,0.6220869965647882,0.5613076895565597,0.6079642553032485,0.5995074138554468,0.7629667555421146,0.6882563068498011,0.8704676297527799,0.8276895399594383,0.7256677218656253,0.681880540187496,0.6484866239642996,0.6376349607612192,0.5605861574842096,0.598116576876636,0.5703918572663024,0.693519485791973,0.7289570936335962,0.8295486596895446,1.0518279617649404,1.541556471181856,1.5457339093567521,0.9758188762303764,1.8588592224712182,1.5115482610265174,0.8315660414302726,1.9933023986959404,1.1171615512265298,0.6399830602254385,1.63480743452074,1.2574967738186065,1.8153916889184247,1.5438938345384623,1.0412789230330857,0.9223827755610488,0.8465727795809436,0.8979127708435222,0.9150374376157883,0.9614882510644683,0.8013780002452525,0.7572976089360088,0.9954700027396827,0.8496625040442168,0.9831132357610554,0.8476722646564407,1.058946994465878,1.5163347298186343,1.0740597274951458,1.1619120210149978,0.8932457383294852,1.4450246683485515,0.8491009285908752,0.8639295302209817,0.7990200030122069,0.7939760722139831,0.7909415118150842,0.8108931151742631,1.1495584154157348,0.7632803137098289,0.7024868859145423,0.6421262297481503,0.6596326888803542,0.7249980781947295,0.7112223604797681,0.8451984886754993,0.8159454306032095,1.0177396039300657,0.9085357648157313,0.8717033311221253,0.7757434287202529,0.867935096062237,0.8386999131497314,0.744208453925258,0.688540677015662,0.9470896600751096,0.72909027614214,0.7875862219400276,0.6692171709627881,0.6917410654655277,0.9720994279039674,0.6688468066233104,0.9192890468725031,0.6852426650301472,0.7120545166940957,0.7470823372546028,0.546522193811338,0.4556210743599087,0.40733791816688913,0.40553121226173405,0.45866415706399716,0.40874562603904596,0.47990916069648015,0.47297959180587557,0.6843744707014197,0.6579546143766328,0.5465742880846224,0.45345737417228427,0.44685280775041825,0.44055998635644494,0.3968207315509012,0.40435940005974985,0.5643695180139017,0.45073204236370046,0.4619032066186741,0.6132574534615929,0.5043357824858329,0.5743793238076439,0.5089416745237401,0.6985735712263134,0.5317091270946145,0.538083460989795,0.7078281420609825,0.5917109931176173,0.6432034898101389,0.5185893980069286,0.5390795402018139,0.6871297306061157,0.6515893728824377,0.4933156973460749,0.4910899221749907,0.5025132464758835,0.47140451334785943,0.47734816169924443,0.472560434031639,0.48978231968985686,0.5518263015204407,0.6030835638597714,1.2258835239749415,1.871552591956001,1.1438088994765834,0.7671639462097288,0.6067463874675922,0.6304679015185549,0.5720013874665019,0.5836782876975849,0.4870773568187439,0.47066151602975204,0.4586681228482268,0.4896583766573812,0.6597076963271498,0.5966543877342184,0.5917113823871432,0.7894035897185006,0.9532947241440586,1.0008924892236573,0.6798692135801009,0.5391408969923458,0.5143700848861371,0.5157187503259253,0.5409519198666726,0.6247020492263149,0.587494555457565,0.8638782384126871,0.6181903780158886,0.7052534012627146,0.6641330851597795,0.5599014302137257,0.5587091810650044,0.5392301466968548,0.5291452590231549,0.5705421926826079,0.5762246558547918,0.7803474217897315,1.267814890782069,0.7929404667349844,1.3909725509706194,1.149754090161283,0.8980710804826643,0.9678150297032048,0.7410386488609232,0.6903851150721044,0.8080803687414883,0.5415925220928096,0.5508906045238665,0.5901499942514805,0.7570171813079271,0.9694862252069333,0.6770247775495069,0.6505945158845808,1.0178659129091407,1.0178744993534212,0.6608979322876759,0.8029355469486142,1.2940197247198648,0.9155577130601598,0.8680771096982397,1.1484732628799867,1.2455472798614524,0.989431326295133,1.051817467413971,0.9533038044263273,1.2423424741538756,0.914192018282998,0.9134055195837624,1.1354261265258256,1.1449010843137972,1.8582611506184108,1.4066027225833742,2.0414840363207847,1.406807961489214,1.5413970067054081,1.539789414285619,1.4387559918201343,1.2404360391722815,0.9937921057925636,1.110302504330563,0.9623025879576925,0.9157530272454204,0.7219255325445639,0.9853002688717198,0.8001185567721806,0.8158720071169965,0.860077192306655,0.5899316102566556,0.7871877835626884,1.0040326464360636,1.2961286762440687,1.6352978062258727,1.93525889742527,1.9793767165056921,1.5450652824003444,1.79886293529865,2.0491633699822307,1.7171670297903066,1.651933120508252,2.0932639119773215,2.1543178048006975,1.7106610458694396,1.929985937251878,2.2442568365597966,2.018854877464919,1.7505856600436887,1.9806790777055094,1.638289952410502,1.7255935360636412,1.5953285983352163,1.5466319039014513,1.4819847759929559,1.1684775807643488,1.1718736942643582,1.0699928081234742,0.9588838334150301,0.7595141761121802,0.8429282377782655,0.9275511382163998,0.743023218028201,0.7316725290138408,0.7528985514656826,1.0173550662410256,0.9076528932916575,0.9695729951417995,1.2014345456941398,1.3751763354270718,1.3980640118734022,1.1695938177452652,0.8465024439161343,0.7303389018243762,1.1583917438423028,1.0076142006617452,1.1745046228237497,1.0712851264202343,0.701804397496828,0.6541827981627618,0.5721561624357688,0.7471416477962325,0.5715994675247071,0.6500638670557484,0.7235738588502008,0.758919123675562,0.6104618389237038,0.7520577181580015,0.7486352562350378,0.5688237637935489,0.8900809811879675,1.157745200076739,1.9621145793264754,2.684280081924277,4.182118582741074,5.3346416208028185],[1.3327540274343694,0.6809660165860982,0.6252053859553451,0.5287483560198579,0.49075066604071477,0.49010184272046975,0.39614096144860605,0.43841536195990033,0.38739001053063915,0.34825357915408794,0.4039149877900437,0.5380648143775661,0.42993860268363254,0.4356905795662579,0.6229788655845375,0.5777161170480518,0.5332844386619758,0.6725852174604089,0.7707437994828167,0.7353208037185972,0.8287859612109634,0.7964241880148017,0.9289642579664907,1.0678805207505373,0.7720764072656057,0.7681100042462449,0.6408432259816497,0.5586935733683505,0.5954005727886826,0.5938085337906279,0.7456005680861448,0.6731504442662888,0.861855830399972,0.8223562054476656,0.7243599157373174,0.6785678845373997,0.6378285615843934,0.6361401434504268,0.5614243120587585,0.5981347112721425,0.5809911238468851,0.7130449419183054,0.758752276167734,0.8047709962181863,1.0206212799017644,1.4900341937205492,1.5067612980143468,0.9501762878380847,1.7384325188402527,1.3710336176623925,0.8670514984539439,1.9856765373835603,1.1745972569343348,0.6584938517714178,1.6405435092627076,1.3130744372408896,1.75529628451879,1.6300951491985394,1.0622530692265055,0.953908909973219,0.8922580466867311,0.9213986219798038,0.9418522095619608,1.0401844732129408,0.8511175494299342,0.788532947339997,1.0337814981905378,0.8618092670566416,0.9970705930598046,0.8498681364318676,1.0048764612117533,1.4715147665980761,1.0609866241767627,1.1752146945282393,0.8923290703368205,1.4602612823825294,0.8546297013315395,0.8655115369410427,0.7978505107971942,0.7838311872532228,0.7556651928695063,0.8017473867305698,1.0858721007601995,0.751503914874559,0.7125817815645528,0.6326832395203684,0.6626956330249097,0.7114948995528664,0.7124099178647336,0.8210583456671597,0.8091934389780259,1.0266065688614068,0.899602755668577,0.850326662380731,0.7521859534579849,0.826849909823388,0.7996883864404871,0.7138172395786158,0.6605803397421172,0.9582270178447904,0.7038236358925105,0.76176128815226,0.6413951397357144,0.6460119108419549,0.9258936626740185,0.652695915931278,0.8625584830233112,0.6689588165727666,0.6926553909773976,0.7246022596268703,0.5433887989973176,0.446057438093345,0.4023541057427637,0.40275597828183984,0.47945791305465235,0.4051731552420533,0.4895786377983807,0.49682296635863493,0.749378755043799,0.6729911851488704,0.5755999752732841,0.4731383297794718,0.4471791211883703,0.42752809640272027,0.35671231468830833,0.3720604110138821,0.576689782813946,0.44089599773806676,0.43867207011560966,0.5799477427923903,0.46376392741647054,0.5457691588303627,0.4865326330549665,0.6520366958122273,0.5198395673154363,0.5423719597801392,0.6926808544123577,0.5878460779939073,0.662268922953043,0.5368396749598868,0.5068378030854157,0.7179978755460158,0.6661291248773579,0.5176500102757049,0.4948849319724617,0.4896023219546934,0.4711000773744482,0.4706423796426633,0.45669029408281114,0.45911423598312723,0.5216136865315079,0.5956567523288065,1.2439053417718215,1.957628386784154,1.2128100715119279,0.7764015819144323,0.5833174542646755,0.6033177876771367,0.5573709145573845,0.5409259521071176,0.47581158833679643,0.46892256167008767,0.454983346689622,0.48530910755831846,0.6579305584104828,0.616773206610872,0.6010377336371812,0.7952898803873926,0.9542109714099019,1.0055843537059885,0.6708808548973854,0.5409815781470082,0.5080998563079383,0.4919597117282106,0.5200231331181249,0.58387277562961,0.5739568104460013,0.8143564807631077,0.5989833169013533,0.6650006030546886,0.6458765379696221,0.5251023904743283,0.5327012885719736,0.5155835263620219,0.5154589564929708,0.5599701974749393,0.5776943878025272,0.8009298760190138,1.252164764205717,0.7903616648388971,1.375150467192776,1.2946421454669033,0.9590495672630541,0.9896163791589428,0.7259290092160945,0.7037802737301311,0.8029564972901408,0.49593712062034184,0.5119084398517071,0.5566142399385857,0.7203226808548481,0.9424827970356023,0.6552279646298002,0.6261595276768172,0.9966406151352015,1.0179184269730477,0.6471672612021171,0.7899194231467527,1.291188788148824,0.9301195626486142,0.8633452918982446,1.1614138484928562,1.279044322509637,0.9838376459100182,1.0492676518847734,0.9354243911726511,1.2415069068289701,0.8569470733728848,0.8718762777785535,1.124337892619012,1.1191110446055792,1.8336882206539278,1.370394645066516,2.002982153592603,1.3650119991218388,1.4921035078862892,1.490675367196189,1.376978724557087,1.1786481639343533,0.9439140482660575,1.0369219194919506,0.8982003007484525,0.8699650982964467,0.6545610170758418,0.9398826890337931,0.7832348612131951,0.7930716415228871,0.8704852715237055,0.5617436524249312,0.7459554931911314,0.952419678100041,1.246605282110161,1.5899840323560404,1.8841699162691838,1.9362705808259242,1.5053084378446866,1.7627908688505087,2.013873077788193,1.691973754876511,1.6327500689729377,2.0703919851824892,2.136788965271236,1.7109202787669542,1.918604296456751,2.2320382404190267,2.0289376045985374,1.758661275009275,1.9788082472863961,1.6266460519867592,1.703127622226468,1.5648461419666688,1.5054026556455455,1.4557899609568101,1.144007388915668,1.1292465251127135,1.03055278470493,0.9231549126050956,0.7203632674997879,0.7949603864076065,0.8809612291158991,0.7110736153828988,0.7081288678473712,0.718742966264511,1.021022628536825,0.8893613655273123,0.9338998107611733,1.169901888113109,1.3406641862199724,1.326685669286814,1.105046925609026,0.8022094530402779,0.6764140286887705,1.0824262292488536,0.9561094298679422,1.1313558855572081,1.0578336744785297,0.6913701132082264,0.6172148912267547,0.540307235653013,0.7187074615912873,0.5257743404343802,0.6339523962890368,0.7120315011723751,0.774579941505523,0.592870796959173,0.7385683932132766,0.7419131834606647,0.5472636272743613,0.8362586457333678,1.1287492090685627,1.9044039158468582,2.5615263496221474,4.066861672641141,5.282787503780389],[1.3298002062396839,0.6829843801057669,0.6429309273269074,0.5456707141666824,0.5008576776166637,0.49862637864093173,0.3952287336933613,0.4361587900961015,0.37432203667300007,0.3044378192152233,0.35121801392106805,0.49198283183307207,0.3624787992324025,0.3717385747466649,0.5485649750594199,0.4889738010478954,0.4663567723800354,0.5885342738810879,0.6826946301670449,0.6397537322937652,0.7383850811749343,0.702111836374098,0.8544127010604802,1.0051867913328978,0.7010827185964723,0.6945105575355525,0.5609965537750448,0.47895099371802186,0.5193216037654185,0.507504238462309,0.6546357929195138,0.5847456944850898,0.7822920304487111,0.7240558410976702,0.6227242207623453,0.5762830845223359,0.5403964207528849,0.5354130942292021,0.47024615159856964,0.4963389242232705,0.4970467527819867,0.6276370227182282,0.6658748654085295,0.7479637092039022,1.0464694156164225,1.5340201295222384,1.570302298639703,0.9266305122445291,1.8377495942958684,1.4909760722773382,0.7910187425703923,1.9842903123023683,1.114311380421202,0.5855394492952644,1.6024317912685797,1.1920798368266894,1.6033469184469076,1.6299151122072297,0.9671802615142935,0.8689019577827759,0.795655130120673,0.8153511170790876,0.8357261747218312,0.9149214543702491,0.7457291103925885,0.6678641415132914,0.9362163281066048,0.768586313247247,0.9237866527059222,0.7598171270125486,0.9492985589478248,1.4039515292394078,0.9782448899608639,1.0920953839689433,0.7946442238243644,1.3895674799088469,0.7496439647128997,0.7628109158885228,0.6950231618538579,0.6806665598159175,0.6674293601445833,0.7111887852365405,1.0612253488497712,0.6586958434399357,0.6462071196063165,0.5449010365761059,0.5586111277855631,0.6026093412856524,0.6045109510514171,0.7382448017100873,0.7154796726221662,0.9489425260919988,0.8085146316563926,0.7631132427351061,0.6740423590245429,0.7654980012655711,0.7262801849042418,0.6442845703923792,0.5875065530575113,0.900673422286756,0.6388222574564183,0.7145260426900755,0.5655011338870829,0.6144729508156292,0.8655211762380993,0.643900501922903,0.8634101778742547,0.66774089032023,0.6925602760043187,0.7259266390793674,0.5336012868869243,0.4210623945511191,0.3733833949819594,0.38075354967506714,0.42073650466424195,0.3686666493054023,0.4239951333040675,0.4357129074554058,0.6724707914292992,0.5829987060508883,0.497194447906957,0.3985024111023032,0.40337787369042566,0.3884842452744656,0.3338722466224804,0.3654328958109141,0.5398188390172012,0.4287166626570817,0.43476404875656366,0.5836587087345557,0.48167049065264456,0.5487751420514209,0.48921190242644347,0.6438028825790556,0.5203200734931807,0.5521727726644003,0.7157365571854214,0.5847573305340509,0.6167134937638485,0.5257931796272987,0.5012390942883926,0.6950021688295863,0.6085046174493421,0.4488399403028768,0.42253099313452447,0.42080554907021717,0.41181324418156734,0.42023612200586385,0.4067030021742866,0.42653788070081683,0.5038590634177004,0.5712092871128115,1.1975770736241134,1.9236294478708529,1.1846379337297923,0.7146482331997174,0.5366515914058698,0.5668974441157305,0.4876017932335886,0.5005085282203164,0.4293384555355282,0.38778815257162347,0.40113774626372806,0.4074121580919511,0.5771058467544704,0.5972394426980246,0.6038832228659032,0.8709493458963927,1.0315203576086438,1.0583260018664844,0.6999435856697123,0.5447093986943412,0.47138196472049326,0.4597478396698149,0.45181934642990323,0.5157848542768808,0.4856958254793808,0.7497068690372388,0.49895058599075764,0.5996128133956478,0.6365340749949736,0.4830205667460734,0.4908675093277331,0.47551015734889607,0.4879956688248793,0.5153706908863958,0.515569870278076,0.7302360257444864,1.286164155956832,0.8140445541890626,1.3396540977400828,1.239148373051683,0.9825274119166897,1.0166766935636269,0.7300847873665595,0.715008814345707,0.7671072535676975,0.512765817641569,0.5414548013597413,0.5820997910870694,0.7504953473301887,0.9732066556982639,0.6914809405797151,0.6594782151206103,1.0450155410551683,1.0845040013229394,0.69344281290234,0.8434017177658996,1.3705175759145696,1.0148751746758682,0.9231154265339331,1.2478412849999327,1.3931778699568762,1.0173274708242948,1.1064415362654916,0.9835228688217339,1.3200579511711084,0.8873106581760052,0.9125537385263879,1.183078150303524,1.1723765741402814,1.7974805275063266,1.439652053166048,2.045125357847176,1.395887380618326,1.5023476372031948,1.4914522459432145,1.3546576257600798,1.1882018719480185,0.9569536421733409,1.0405318075751058,0.9016079177472776,0.9005408648540363,0.692637197610115,0.9328893254476899,0.8696858373509444,0.8630692685901719,0.9081161186346085,0.5975023422798528,0.7408378999187808,0.9494530852391719,1.2457832374172368,1.5819880004343392,1.8737812956732123,1.9314536607986275,1.5157016937331536,1.78659412807701,2.0349542646883076,1.7165232513614594,1.6800080961289139,2.127462010517172,2.2118494265039983,1.8008612532532418,1.9984405710445334,2.3289762575021187,2.155959549026109,1.864011514031453,2.0740553870414753,1.7090190173812365,1.7665035954922004,1.6198202070279812,1.5464977479143833,1.5058029556754169,1.200381419276841,1.1695121368108745,1.0742909729300627,0.971908626214841,0.7604447281582909,0.8321761532716969,0.9165500506493818,0.7481761239708791,0.7579190761275291,0.7545162054458262,1.082929493542538,0.9264908049973972,0.9667898936821129,1.2005730347115569,1.358584311344261,1.332962886880412,1.0992755117508906,0.8037127994695846,0.6767211695995015,1.0520925325099388,0.9623535268887844,1.1590741218516738,1.0966777998543298,0.7343490482197215,0.6356288474428596,0.5483427932197403,0.7297523281668421,0.5317412588784587,0.6393920329935894,0.7104525491767057,0.738849611937216,0.6123242068227304,0.7460606986950911,0.7390192623964539,0.5630561054913598,0.8356960223645024,1.0521312417157436,1.8981438713338912,2.4811840370839016,4.016568988379907,5.19206942870624],[1.3913842435648844,0.7071768381477574,0.7363783442972318,0.5727740055508438,0.5614542681152842,0.5658980716063141,0.4873100828636165,0.5040380531733435,0.4492305399719899,0.3572244828886977,0.3984137139990348,0.4998587897442012,0.4074135894808829,0.4323993266292905,0.5854170825993631,0.5195205067219846,0.5171366647830417,0.6215044243002501,0.7123894139367849,0.6631643338090663,0.7492627112384612,0.7091287509795341,0.8567455125961388,0.9730594590239003,0.7350656609445048,0.7188500251257206,0.5802371805403173,0.5223644152798187,0.549153342604075,0.5439925192871607,0.6712985076753927,0.6135008694994842,0.7871963620394762,0.7088264005115174,0.6316545592508004,0.5941174295630975,0.576527938284053,0.548522423940738,0.5066543430406891,0.5384984327124683,0.5403460028754666,0.6455736328352623,0.6676695839895888,0.8258714992425055,1.073816437523993,1.6155848716842218,1.630801819949697,0.9607987636763959,2.0068923796612554,1.6984652008149184,0.8362706240201788,2.0850982641671325,1.1023096465594568,0.636561612950254,1.619298008663494,1.1965618772845836,1.576380964129758,1.649710631075301,0.9717776568853235,0.908372196948746,0.806757945054544,0.8144727663825605,0.8267850998043021,0.8953591916770713,0.7506703368507046,0.6985427241958545,0.9531637835919319,0.7660838790340122,0.9196177110963948,0.787214803749196,0.9551537556082911,1.4131933762791902,1.0176044763326928,1.1074912961304257,0.8192698033706357,1.4190456424496258,0.7655886813757535,0.7479412597047067,0.689307793268393,0.6742137682026553,0.6729005133826835,0.7132639221239292,1.0703780512743486,0.6726888306973862,0.7117441823713968,0.5744638417683972,0.574842636699534,0.6207851935329574,0.6124184888311842,0.7160379758164288,0.7149204439906384,0.9858357727475769,0.8178244423718739,0.7733084615723704,0.6957989432770946,0.7844446818617361,0.7442003620328764,0.6734199462276155,0.6216920073462778,0.92521371774829,0.6643042892392317,0.7415283328698109,0.5817490588937975,0.6626252639429588,0.8676945629976089,0.684871469850153,0.887994197792995,0.7059109099182584,0.7625102360078523,0.7497168730806608,0.5954181486562351,0.4906274674727125,0.4417067606922334,0.46114364229045834,0.4995484662665003,0.4753659575605361,0.4888037272476876,0.5219159652747157,0.6760722860366354,0.6299666788741751,0.5471550468308937,0.4916421559881072,0.48855755077707963,0.47332663930107216,0.4467222155337858,0.46992270771652556,0.6093150780720874,0.4976661198422075,0.526621094206175,0.6424891065219869,0.5687474342713129,0.6203103000630567,0.5742879930106628,0.6954175587774086,0.5949816815257615,0.6185350839823583,0.8050663962084084,0.6976429472428092,0.722214391375285,0.588057815945606,0.5546589045627814,0.782084990462676,0.683104094824504,0.4975736204061658,0.47961175544475565,0.4790105735731601,0.4690001931365504,0.49859271379555326,0.4683597354555097,0.4738194639637701,0.5747689520867034,0.6366836398034037,1.2744149501970352,1.8978988367934022,1.1776752127253742,0.7504211755714154,0.5718193678856363,0.6090427299529582,0.5206001636305417,0.5685127480200162,0.4950177092651684,0.4639857482593734,0.4697744300054763,0.4724698167267298,0.6473263390861023,0.6197095680685958,0.6929677706899716,0.9789391536872684,1.1569075179937054,1.139415607307241,0.7980985625420457,0.6337011015854925,0.5474181582395015,0.49702245143354146,0.48194529818503123,0.5468164356179747,0.533814415153932,0.7861241411713592,0.5425159180291934,0.6444164047718526,0.6506013421118937,0.5467472739372506,0.5466302648071172,0.5371366523453923,0.5573973383310971,0.5529338496399908,0.5725727879101498,0.7271529650712117,1.3287651431963712,0.9290379475197107,1.3060983120697525,1.2385645537312313,1.0265408195891497,1.0389089064257044,0.7513227563768715,0.7653401404767646,0.7888236347357053,0.600073038963563,0.6560034298970225,0.6738588121522041,0.8628973363852006,1.0635004356274098,0.7869441942968757,0.780330672730329,1.1570200282639354,1.1939865480772636,0.8013559212921391,0.9754114538584827,1.502683576631471,1.1471576108087393,1.0534363988862971,1.3968283452088464,1.5442188388011424,1.1293094443936307,1.2485346194625506,1.141646539101492,1.4783403870097853,1.0484989539489804,1.0588711710352914,1.3369645283729594,1.3388470932038719,1.8947657050070545,1.622854792834998,2.152778649203465,1.5263136859737116,1.6028874446421366,1.5708459041474283,1.436606987262037,1.3116325466928203,1.0697073637035992,1.1456909629266077,1.0147451778343717,1.012894370642977,0.8223390678992786,0.9797938771263268,0.9805305050066319,0.9463763670516474,0.958260988755538,0.7109091705550054,0.8342873148703863,1.0424032385301818,1.3304430106805198,1.6454305021133266,1.933521049037521,1.984088176898677,1.596675246227115,1.8894538217545056,2.1168602259618785,1.7870606789955448,1.7836574323299066,2.248155903546559,2.3428686239108463,1.9302923153141758,2.1423791855623175,2.4881463317649652,2.318192707446623,2.025006924283916,2.2364461001064995,1.8681841756821296,1.911448461433478,1.7481889485424196,1.6749816292104205,1.6523425249810788,1.342890133424796,1.2997180674527304,1.2223081906610964,1.1284163496263528,0.9069393398903859,0.9954210417332965,1.089620454411029,0.8927778213073484,0.8833107591028112,0.9005133968690373,1.1863038690600287,1.0436874339758841,1.0712930281261184,1.3144906775484797,1.4459533574780221,1.4295147335977771,1.181856951819552,0.9194999828823092,0.7934520615389283,1.1014974302841727,1.0387326387545488,1.2422433247552331,1.163893041421657,0.8144076100641574,0.7413135094809972,0.651881187525351,0.8191956093172512,0.6438605329830508,0.7021152630540195,0.774165558635124,0.7757152822140685,0.6812037635406227,0.7926207278699603,0.765048412798925,0.6050330406856791,0.8286527661719932,0.9753077774503228,1.8059603876751085,2.3969578884284313,3.9555960400976065,5.08782431707429],[1.2999132220493743,0.6513854058483467,0.6232293649764968,0.4841287950206297,0.551490805941904,0.45548195614312503,0.40945135763223944,0.43458413889324254,0.38703065331166725,0.337544203205697,0.37156006095565713,0.48025845702442727,0.3667439733769265,0.40680659958863086,0.5285961161448626,0.5001927928004498,0.45937552425492384,0.5714198492404138,0.6690146516496177,0.6185818141662505,0.7117826847567684,0.6703604583168609,0.8553266505687827,1.0053686563475392,0.7052004677760728,0.6826693578884678,0.5571523803106913,0.47259401033088916,0.48885724815665316,0.4868865577727254,0.602066903760885,0.5317119339847071,0.7280690994220107,0.6424694039359597,0.561041621299676,0.5304797325622993,0.4899589389805599,0.4929435584719721,0.43505044932477355,0.46242294384540783,0.5108358965045796,0.625995680489365,0.6458136469512457,0.764194100672023,1.1336105885084604,1.621730924602245,1.709028946872693,0.9656831526636518,1.9537873932574576,1.659389162167393,0.8023761463018364,2.0270587531179505,1.1583352635530808,0.6417063984205058,1.5905485369154857,1.19267400739957,1.3926686642736952,1.7058998647640624,0.9396516744980452,0.9288210702231225,0.7966088622599483,0.7686996295723425,0.7851606454962583,0.8853357067523797,0.7289691773671407,0.6517226572572669,0.914569652055665,0.7230161662177075,0.8643539462708895,0.7440927399269339,0.8872270226157009,1.306293377257115,0.9627528802391839,1.0692660102527078,0.770624665627645,1.3555376027869723,0.6999829053010787,0.6857366388849512,0.6251942839843008,0.6490919137701826,0.585941410586783,0.6492852649733709,1.0413200681181052,0.56877860259157,0.6514082261809946,0.49712179056003514,0.501569391693972,0.5457204449669191,0.5567641510236161,0.6655011826373939,0.6670508996400186,0.9136292348378978,0.768775918236951,0.6851546342016912,0.6096963289329926,0.7027814889877114,0.6738338857434854,0.5770929669461038,0.5260946701174855,0.85691371418291,0.5647964199016192,0.6410727261733342,0.48794042261731424,0.5685206404158998,0.7403150665795069,0.6068606095454239,0.7815917219154509,0.6446566409110578,0.696988284007204,0.6715095349706001,0.5145298998870061,0.416834674329946,0.38844537401523244,0.4231254053349843,0.45279288700635983,0.47185215947217196,0.464958698532543,0.49068704034967203,0.6823153773941755,0.6005736390185059,0.5402854966179937,0.4781601950031205,0.4821843674806842,0.4347871891862522,0.4033824478362065,0.4263610039891687,0.5152225932222263,0.44138239429370213,0.4405810221408372,0.5363406010430548,0.49534140591000797,0.5314545940624095,0.4961723100749289,0.5987001382119688,0.5265196225201104,0.5702853075023038,0.7536578881476191,0.637022861010846,0.6782783320775188,0.5973746342909669,0.5859319529199495,0.7782335442259352,0.6344001551581707,0.47416395661435107,0.43488032657133263,0.42972783600142733,0.4233091209134233,0.40381277596669995,0.39629009666228615,0.4224932932028211,0.48870016379228737,0.5618121657700924,1.208673039236881,1.8793983430875252,1.203901080109357,0.6580130217939372,0.4910848763790893,0.5163618136624031,0.4311632714924959,0.4690128112035978,0.4024977297052687,0.40105972856434463,0.4325388435253684,0.40741736715558047,0.5455504929406304,0.6286731802897412,0.6802383380714409,1.004423710038391,1.1644216360669721,1.128833928282229,0.7682702811803765,0.5897939334190322,0.4862291577679092,0.4348535721461973,0.423763572766673,0.455515439841035,0.45225945570857734,0.6737812962442448,0.4579613535831537,0.5266400497036359,0.6785547159728806,0.46488333311951474,0.46902922589514656,0.47903032136856877,0.522298886479046,0.543249474602477,0.5373924307194256,0.740051228096644,1.3226531531943087,0.8921837961635765,1.2609282474647552,1.2681544809062664,1.0719119724257369,1.0434740572057795,0.7386386283843502,0.8467032826028349,0.7864413627358059,0.5536329458585177,0.6204098685317632,0.6014124897737778,0.7501246761644117,0.9491119841861462,0.7012572491822873,0.712899051091967,1.0564429892462701,1.1367898879751648,0.7837970019784041,0.9263830376007172,1.444542075167881,1.1552172010056392,1.0477110822720608,1.3984994266596655,1.5902855420844848,1.176782482598872,1.2917120234374526,1.1479602305320455,1.4611312852174985,0.9817188386332577,0.9898122326739335,1.2700549671465946,1.242107929873825,1.7681339927922,1.48358732307201,1.9996828398105924,1.3671002566702404,1.419181016325676,1.4053119747781693,1.2331027861472488,1.139044417643091,0.9345522894726009,0.9840449312798519,0.885557511007663,0.9261481193336993,0.7236089495500206,0.921546930051524,1.0405581754301956,0.9629776180316251,1.0167794519016335,0.6660142215344808,0.7107687119168664,0.8911534822541124,1.1718712054199514,1.489123488047027,1.742525460543123,1.8206134587271785,1.453044861905116,1.7201027563019886,1.9433330453009048,1.666157023770957,1.6565040605080483,2.107070668227891,2.2217754586546596,1.8606301989513694,2.0353877433638097,2.382653307854763,2.282191477150601,1.977310550342397,2.1523391161872065,1.775255486105937,1.784120161099395,1.6142613428383434,1.5141011568335627,1.5177792298314385,1.2426118578517176,1.1608078483294966,1.0963602914204644,1.029522215896006,0.8222100631349227,0.8807634647841347,1.0102336675905714,0.850849555183304,0.8720430636019729,0.8837224309558644,1.195306640970862,1.0482661907381574,1.0475866088643266,1.303291566786605,1.4242605966348123,1.3498221256759222,1.1107573268596798,0.8454790329439473,0.7310748326976179,1.0056983510398394,0.9976287808102823,1.2309882087572661,1.1893261477731805,0.82840864652812,0.7221254239649685,0.6163632922417224,0.7599891206132204,0.5479265569856325,0.5888315017987316,0.6281827506389104,0.7068724907091681,0.5874777767989798,0.6606052473620648,0.6625647269877132,0.5161616161358857,0.7811713986420585,0.9112150322962365,1.7064080903575636,2.1446189406825313,3.6588691379286242,4.7844794075624115],[1.3773217553259687,0.7234706688013234,0.7423848415520928,0.5883369822879921,0.6221734490119564,0.5309343516685829,0.49927856345607313,0.5003053208333164,0.4473798437030472,0.3692036885945269,0.394330433169747,0.4843350248772928,0.3986365323591009,0.4190422795574048,0.5526604428682286,0.5042455719965594,0.5074557369742273,0.5867723198648167,0.6562350336332778,0.6140266019539602,0.7047380714568641,0.6738786532641372,0.8309751525833375,1.0002359130721046,0.7460989257911764,0.6968120150501875,0.5818821730024836,0.51503186145651,0.5276383016072713,0.5119313220681231,0.6060410687960657,0.5442435544681741,0.7072719619440851,0.6440184506697819,0.5645234925686896,0.539114099809991,0.5079222881571646,0.5182431214353119,0.4910459565227817,0.48338063265851333,0.5406395983024639,0.6319031335780879,0.6539744079572151,0.7898152098205247,1.2109468421089415,1.6795479160078923,1.8244876335441804,1.035054321098839,2.111020676146154,1.8887172325958306,0.8869722663638069,2.045550824798822,1.0782985803093241,0.6806896685507648,1.6351969943291738,1.0887764913123776,1.2994176162982471,1.7789891205620973,0.994939769277844,0.9507877854640207,0.8253019960885292,0.7543072330069914,0.7615423725648361,0.821678486922059,0.7087529084598552,0.651648890691183,0.9016257960543961,0.7072750698879472,0.8781985201058438,0.7314974222787425,0.9419834453356654,1.3331258353865292,0.9635420588830003,1.0452136229696627,0.76515713140866,1.3393386980258815,0.6890581296566773,0.6578818882033233,0.6145386415826676,0.6326103895032344,0.6119903387845311,0.6708239823373792,1.07937730353517,0.5916581947693786,0.6422603024857024,0.5201312580970497,0.5439841161599741,0.5457297064917328,0.5490568165442976,0.6814626972571607,0.6643949838352075,0.8954147847098789,0.7560002925511179,0.6996115004283664,0.630976156033405,0.7373560568840724,0.7024574934281266,0.6130908280952876,0.5691713780522712,0.8615260791757231,0.5933532755044892,0.6501705805061166,0.5112907094924245,0.6162684253220514,0.7507628844639974,0.6584719595661809,0.8413363961529349,0.7339732158053351,0.7938083210831849,0.7554764190009629,0.5952973738283566,0.4954389765932924,0.4628389053199557,0.4763114611331477,0.4876793703308413,0.519925412587713,0.5046899418472222,0.5614824204134629,0.6748105024507052,0.6154543844784037,0.5566418967514226,0.5022256198524502,0.530539495814861,0.49853504025770107,0.4546628651171658,0.4894021735011072,0.5765398091202313,0.5147065071028195,0.5503182384881569,0.6332782725887073,0.5994843879139953,0.6319711628007745,0.6000073465908365,0.6785818459878835,0.6169733322206823,0.651630365392144,0.844278793304904,0.7442724566440568,0.7609984460887546,0.6564495393289235,0.659307764633243,0.808885774324759,0.6836228229783969,0.5322863941077172,0.49212369633023906,0.491064194237504,0.493973064087103,0.4715606583924744,0.4387150447594256,0.4807978106831679,0.541709300323031,0.6059797784672843,1.217789985186882,1.7403800129968503,1.1703481299917116,0.659835394898456,0.5231189093695306,0.5650012898369655,0.4676033235836928,0.5268362232829998,0.47223798398289685,0.4605324771173158,0.5014450144273169,0.45851404833714965,0.5704488177471181,0.6876541726867846,0.7787671456675,1.151472727815529,1.2883600074763935,1.2343545223623373,0.8715014726980542,0.6747806666050673,0.5633965455997842,0.5216029731712294,0.4584521308192661,0.5002032869010216,0.4855028859889031,0.7087244433438138,0.47870543120343023,0.5950291235492234,0.749969352137267,0.5383966391409245,0.5511939563498124,0.5665146291321316,0.6018322203931986,0.5806543493978563,0.5574429240793153,0.7522267112253498,1.3623735295327184,1.0162958565357476,1.2368666649145,1.2700728124085487,1.0917484967030504,1.0763006968579507,0.7905026498968218,0.8931841193489104,0.8192681609526854,0.6779440104695231,0.7429489754962038,0.718989083296708,0.8716649059716469,1.0402260178185312,0.8093153260612463,0.8340355301982306,1.1605022288176683,1.2424453358499552,0.9009183082416662,1.0470882735459277,1.5505723635165762,1.2770228054751218,1.1648851977848647,1.5215032998942464,1.7322896163707338,1.3086479735285779,1.4185380233837748,1.2639835762371694,1.564641518074542,1.107347988661313,1.1051682367979752,1.3800110424327512,1.3527186261783966,1.8292900096592333,1.5758773532276318,2.0268630059158315,1.4433178741109098,1.4905549715545319,1.465870801631951,1.3019873272159528,1.2540818492878167,1.04646919373974,1.0757184334290613,1.002800630233957,1.0433184984423036,0.8496584436252549,1.0122286324665777,1.171633793711602,1.0837937316838118,1.1113153008451597,0.7948861461398644,0.8046135842058254,0.9833482972813639,1.23947198163986,1.5440388328312473,1.776649998328926,1.8643355040889036,1.5255410836278045,1.7916908033142251,2.0016672314803716,1.7299520751786202,1.7364955530466761,2.187000375757483,2.31240305691188,1.9664580186641778,2.1290129159252813,2.485979990986323,2.406853443482669,2.092358934872642,2.257598369044103,1.879489794506746,1.8769239466011844,1.7000531907131844,1.5967788841918278,1.6102852729931258,1.3497035254175276,1.2646868038111336,1.2018888215585173,1.1407489879711097,0.9510823377198232,1.0111660106427287,1.1374445072067494,0.9803932576568644,1.0042874512421829,1.0415681436533197,1.3196341882157787,1.1787868169650344,1.1712455157990296,1.4353257912149153,1.5275793280960235,1.4642920067835783,1.212466711931549,0.96107582527359,0.859947529215271,1.0751155629060398,1.0942109542569771,1.318502431166999,1.2778184626847073,0.940265871234287,0.824877726853991,0.7183631486520301,0.8253742518972471,0.6544097678958058,0.6641344861485485,0.710402458471247,0.7327531500872482,0.6715524813231732,0.7295587461538103,0.7239547383570895,0.5976042389986573,0.7937653086661637,0.8737253613332766,1.5505594320362979,1.924555689765181,3.344006898022012,4.449133968017959],[1.2486569854972178,0.7793874095659519,0.8112844890914969,0.762188957198984,0.8686427682643495,0.9123227125863065,0.9494994640300797,0.9512098766544524,1.014602754028068,1.0315240314327805,1.0978610543770904,1.143927724494967,1.0738629396320376,1.0909707576927223,1.1830325430401103,1.1627183248593531,1.153031028694929,1.167850137567001,1.1812348939112616,1.1623771932362033,1.2031773196552156,1.188662658857447,1.2086951160277555,1.268150839772941,1.1731071666688693,1.1343788132347716,1.084825584690914,1.0879920614467398,1.1406721188750295,1.124033938614227,1.2203163031237003,1.1957738142220937,1.2871760849574767,1.240113677146255,1.1919588702871902,1.1683345276572263,1.1472720776424443,1.1134405301565136,1.0982529621490935,1.096073685342805,1.0642259638493965,1.1330999011805591,1.159830379744517,1.2158363957346072,1.410398128519633,1.9227449941982282,1.9890861052850088,1.3268158886007368,2.3527323266522973,2.1657361835015414,1.2677502676718848,2.3511088060027805,1.4165958179163958,1.173265249056924,1.8925311938020573,1.4331490310365995,1.4186041841521397,2.129249613104426,1.4181182171599296,1.4817139977140596,1.3384430785360937,1.2451017360102452,1.253710015247485,1.2756607075216202,1.2354723767226463,1.2191714210008515,1.3783590325953512,1.2484302472456326,1.339767542285941,1.2624730912748283,1.314041161139606,1.6212524014178042,1.4233447224722386,1.4903398991038703,1.293773690368713,1.7594524739404673,1.2684363606560567,1.2349811536183668,1.2060644638830897,1.2011557008309324,1.1692867946887002,1.1261678846620002,1.3913472719540172,1.1375174183516532,1.186505411368095,1.1036677928229528,1.128828666336027,1.1437645429257408,1.1634123563601542,1.2158471140359703,1.2408162267547282,1.421591829236391,1.303668285757779,1.283639706893966,1.2400938494521065,1.309406911837146,1.275664242800949,1.2177902763150368,1.2005999953586464,1.3719067320630354,1.19938958428697,1.1343373719114083,1.103258656743509,1.1021956008675868,1.1825279000985216,1.09238964673353,1.1263502819444864,1.0719952971448126,1.0668159188258763,1.0912034622331814,0.9903641384879637,0.9968627309303474,0.9957378871952954,1.0071583699210298,1.1050154304500983,1.0156972163267537,1.061924391027329,1.078786832212122,1.228569494985097,1.1859867100523314,1.1326141405342365,1.1283225438051459,1.0114878861165535,0.9927763990713399,0.997104379581742,0.968690652418052,0.9790937573895956,0.9651520472593224,0.9683625813554095,1.0629795121744792,0.9430433399024171,0.9532567497589295,0.9945672999847703,1.053754628878668,1.053381792207893,1.1110332445942952,1.1672986693452576,1.0800440468245278,1.0542541990165075,1.144696745044021,1.0607542951149906,1.2167212392122468,1.1787979495888057,1.042261867534461,1.0787413096207936,1.110561060335765,1.07242192357224,1.1107979762583444,1.038353393422453,1.0218548528888063,1.0338070811392785,1.0965839774564345,1.4684375096971736,2.0537051057745384,1.6446889608911504,1.1837430143980947,1.1118086028888958,1.0971298308568773,1.094676710048933,1.058478071131544,1.0650739996716765,1.1041105288509323,1.0791185609625784,1.090108804945246,1.1322657619070207,1.0934997949868548,1.1555089874361526,1.39682378075948,1.5150559213113015,1.4454677524164925,1.1991718145402643,1.1378849173363683,1.1058984512724541,1.0678990097744685,1.0715853245818878,1.0939601082146864,1.1006404861644412,1.1887920764873048,1.1004816278578937,1.1625062298344968,1.1455155929987613,1.0829955736057448,1.0647545216421668,1.0435210894733495,1.0759026760302002,1.053819461406232,1.0753347431860454,1.2158629787637423,1.6808164130088548,1.3502445222149153,1.5746448937644124,1.6432594621400067,1.4359343260906037,1.3880910939869229,1.1640716111596388,1.232225726140254,1.0929153475460471,0.9254394598748842,0.9375631181588387,0.9544705527676677,1.035755847072213,1.2128064765133233,1.04585953334278,1.005889981895057,1.287776094090574,1.4140184315149678,1.0622118927634192,1.1687192159593909,1.640426123864143,1.452403366485086,1.302222595686259,1.6150514758392311,1.8779291155794222,1.4972408510877375,1.5592352155687552,1.4004422787488295,1.6273997969665452,1.1442397455534281,1.1632678968215964,1.4095348737333204,1.3404271571972899,1.7665580274132813,1.5097129211586833,1.9773953282905303,1.4502963292413806,1.4609811664925978,1.4804637790680646,1.294765529871601,1.2311472412934406,1.1062544175897162,1.149469378263284,1.079026073629834,1.1309198314881694,1.0034621942188962,1.1700501358038644,1.2715566682364172,1.205609836686286,1.230999957631843,0.9445644126458996,1.0122893798041066,1.1221099994559276,1.340135797136313,1.599451966454392,1.760188519501158,1.875637395198057,1.5959143973028906,1.8138899750957296,2.0176606199959815,1.829529917485125,1.8135793867897017,2.2076484831034957,2.352951544853263,2.0434390053191223,2.1357073947539615,2.4691382489916083,2.459529670255998,2.1119898492600973,2.2145714849984977,1.8696999428767007,1.8492344879723632,1.7164282118294092,1.5807027200986148,1.5925305235248974,1.4017417668648362,1.3118959623454967,1.2340736502656422,1.1952747834512958,1.0527865753555665,1.104878474768253,1.2096063193258755,1.0774988077378025,1.1063581447299848,1.1064022866230094,1.3608763830526986,1.239955740809874,1.2022222796861182,1.4496535348607777,1.5158235342951505,1.409136828064612,1.2001550403359798,1.050681899980327,1.01071750310357,1.0632990079683466,1.0940879567976662,1.3017339697479426,1.3040971428117483,1.0376028206299803,0.9743822392623925,0.9412056191663061,1.1077560747971427,0.8573722413429975,0.9295675856501,0.920006792737674,0.9921131815181465,0.951658318599859,0.8852866447292985,0.9064665334515558,0.9208858261831014,0.8471014774179114,0.9718822025111685,1.5996463774629426,1.9465506175074625,3.115179300181441,4.241103024556884],[1.4635248264833294,0.9759337243432161,0.97046321185367,0.6788784142071354,0.7333694365374938,0.5860832164332087,0.5216338509060285,0.5380562878002014,0.4924848957063717,0.4543606253333495,0.5110560349214895,0.561555194712568,0.49402765490134015,0.5487599585346999,0.6918067787589129,0.6317162810288746,0.6293229099764344,0.7179015137080438,0.8075895401065902,0.7403125125668755,0.8697108815231747,0.8499360012562994,0.9378780562787494,1.0220327074768443,0.8608474645998959,0.8041355580407875,0.6426489136582372,0.5796882244805797,0.6254264782781874,0.5859291714245635,0.7739271801451387,0.6614021380877665,0.7824426702246078,0.7564330811927511,0.6774901191550937,0.6647510144007074,0.5802081450703394,0.5990266602143213,0.5745997264279235,0.566943111476488,0.5551643673235958,0.6626952603497505,0.6960310441328694,0.8497939213920206,1.1134969401904866,1.7515099921322617,1.8074346703021893,1.0013676359043588,2.340625571267945,2.216715555952553,1.073056618380084,2.2432802719286213,1.0249246481919558,0.7017308651653233,1.591290674135702,1.0257017993079205,1.0772703546561382,1.9158405288099811,1.1250583665169305,1.2253463973639878,1.0283761254944586,0.92620717775287,0.9017416914455251,1.0076101132477064,0.9384324463877298,0.840361780250821,1.0928887569654993,0.8927722172362131,1.055705569823927,0.9531472996001149,1.1125235623885084,1.4255681271586016,1.1824168578013219,1.2422087441255654,0.9612696908477051,1.54866163856367,0.8494636390833915,0.8562154864811313,0.7659516331873866,0.7009668420134548,0.6745270277442832,0.7104324002131535,1.0688863580858488,0.5872927538391521,0.7709008084000013,0.5749301249495736,0.6202471855728872,0.6063054524144319,0.6821289180662106,0.77058650256056,0.8327326009757492,1.1118374124626227,0.9561573949922098,0.8528329528282217,0.7914220542545266,0.8987014221574594,0.8544402232154406,0.7280777837393236,0.6394874073863537,0.8246725219561327,0.6188686176443159,0.6639049899330087,0.540733523367216,0.6312747517927539,0.6839434363144294,0.6552679643096281,0.7748529945594576,0.7240024579193854,0.779633204012959,0.7574639974182753,0.6038888343668013,0.5023059792198978,0.4824708245528211,0.4654907915435795,0.5548370733438501,0.4986505226726322,0.5445199043453826,0.6410550721353623,0.916065236266514,0.7345674525973066,0.7134407547404817,0.6314542460031235,0.5183012380055937,0.44426211883091776,0.448969403214887,0.4776264027714595,0.5986594503245946,0.5463944708756744,0.5999423902834186,0.6532437724439563,0.6502295435245176,0.6903913228143739,0.6222176200928236,0.6720765682849595,0.628066060058228,0.6885848956287614,0.8354556878260095,0.6762132718652135,0.6431922103258311,0.7036718052645321,0.6367822701911409,0.8292851793389071,0.6990642031927516,0.5556193138058255,0.5458829201628633,0.5685371109485512,0.5035927219737414,0.5413503821760036,0.4743681162781034,0.5064420367046779,0.578904886745054,0.6750285177693979,1.2848312886135667,1.724798181638731,1.222589531039965,0.6779164700260855,0.5376280183162951,0.5878163458094404,0.5088117490222832,0.5557620596247097,0.5147271521230044,0.5058145490283183,0.534359718595465,0.5215805596388613,0.6800992210460323,0.672579978174762,0.8150315386184683,1.2017373093709531,1.3617489563909166,1.2502765385358563,0.9126971124503968,0.720612814271962,0.6285380908532919,0.5050620528037707,0.46384652830673634,0.5189561376578347,0.5214029507245239,0.7121115253780929,0.5061099407240012,0.6160037703465214,0.6820452144117919,0.561328312000749,0.5626085259807446,0.5413996990452843,0.5958335468529715,0.5786664383569191,0.6216637698786208,0.8038872496128915,1.5281919209116486,1.1077845377964706,1.3016095628688737,1.3287875905982725,1.1756305478306803,1.1023409289334154,0.8111313708409709,1.0320534115132258,0.8411662310861927,0.758804382098516,0.8746228305463296,0.8064571045882993,0.9215442165449357,1.018720185068807,0.8548266629450711,0.9567235625527346,1.1650461997334955,1.2482685821236303,1.0521443552579686,1.1771710174793628,1.527780252081386,1.3788862722636528,1.3387739460838668,1.6096337488010022,1.8073106002242372,1.5292838761398222,1.6449207611431946,1.5098012751394305,1.6980873365164604,1.3850450780611214,1.3022212186857725,1.4809900019454303,1.4559284399222303,1.8571162135223547,1.5814790169301518,1.8876908873837042,1.3768875998882346,1.373169101476696,1.3641159400325975,1.2004093375712275,1.2574043078702466,1.0769628880356898,1.069437934075031,1.0750439283337114,1.1555421009188613,0.9813486322129205,1.1301159952278061,1.446943758519079,1.3271654260776715,1.2899554160816555,0.9651054483243919,0.8235820142860746,0.9541860131721683,1.161531596283981,1.3892877713185965,1.556593500581392,1.6723614873950263,1.4038303912965975,1.609280680981302,1.7718853583872745,1.5899697620979434,1.6162450698892608,1.9932309582584231,2.1271437614161326,1.8678037426876095,1.984634378470427,2.2946909568221856,2.27734047753509,2.0145116720124245,2.117703273126999,1.809238104851187,1.757192459946069,1.588398114730411,1.477557101500678,1.541238463293198,1.353337529437666,1.2440121477490926,1.256478838391795,1.2562167010700636,1.0912499129578568,1.1650475207393665,1.365034598480284,1.2402194031825664,1.25386812882309,1.3031510748199457,1.5568732349600753,1.4528960357769594,1.4350380094685689,1.7387570083377237,1.7894275521482836,1.7510790158462834,1.464746773840267,1.1869552229428213,1.0915661908235321,1.242008699260932,1.2755806635952565,1.5368776624597262,1.4489329126018191,1.1330709215593737,0.9839611775652635,0.8474015633673961,0.910127730299129,0.8632945135141096,0.7764584149731686,0.8767777224501477,0.8169852461745629,0.7177310895042677,0.8728883196911399,0.8652817568322692,0.630221735731234,0.9334653114650251,0.9535935847650036,1.3925845639360848,1.5925367277100821,2.8700489302429903,4.017412321687712],[1.448019853664391,0.8912631866708915,0.944884552298673,0.7193526162926355,0.8644945972488897,0.7822174966590008,0.7500054084939939,0.8111615028754102,0.7463344742809248,0.6342466301512953,0.6411347623165429,0.7308317806104548,0.6577309835060541,0.5986443059689454,0.6924449108246189,0.6784545483907918,0.6532187370717955,0.6718950147004533,0.6861064707372322,0.6675368305042532,0.6980708057375543,0.6982701433764907,0.8485424093007131,0.9400852773571973,0.8446335732046638,0.757279002235106,0.6271047161237113,0.5906171783830848,0.6380145592495475,0.6937285310344671,0.730481382014385,0.7192053864244432,0.8185645586903345,0.7281955184030656,0.7158474174694893,0.6736806857225721,0.7077711694685651,0.6646306818514317,0.6136461256437951,0.6578187604579778,0.6546135620761084,0.6882278134715758,0.6788113989211203,0.9093062577796277,1.2467192356407868,1.79436056263641,1.920033239000959,1.1106907086179896,2.3750066056222656,2.2644612060233755,1.153894650022669,2.2448520686198927,1.2221632333539714,0.7706036954053268,1.5042055234189315,1.2304620188011317,1.431661906773866,1.589588522982639,0.9228122904777614,0.9878698331720759,0.798230200760638,0.7627484984226061,0.7677218382475545,0.7981244078393311,0.6831266697086008,0.657197463744633,0.8449848300407938,0.7048236222250494,0.8540918052314802,0.7431409336342886,0.9017410361602622,1.2472225448367191,0.9000589539710417,0.9724500301290827,0.7392194693243939,1.3068089612803466,0.6783859854384763,0.6999544317209753,0.6780249818982884,0.7280215615741369,0.7402141252705993,0.8263136830528899,1.2075455711283343,0.7367164972725266,0.9154072839788019,0.7473128873671091,0.6858309547062567,0.7314779950488963,0.675831237852791,0.7477960629298609,0.7192975171258262,0.9646180325174192,0.7961721269131609,0.777962839067237,0.7531055943125857,0.8333071526041421,0.8236827105255956,0.7651377273296159,0.7488535473417267,0.9144829569385162,0.7612795699606992,0.8683756581736796,0.7734184807397568,0.8578671460340599,0.8837224724854864,0.8088755405183936,0.8564703176958567,0.8731319349310629,0.9414860606881406,0.8686020413653287,0.7745091458493623,0.7264822233525171,0.7291128293448945,0.7000278287721293,0.6477834208601263,0.6438873796313032,0.5933531494257365,0.6282233990643454,0.7207764702159658,0.6501080296536828,0.6304578522064334,0.5989580909620267,0.5694180137191667,0.5875788811137906,0.6484970553511372,0.6784960329240358,0.7948040135029857,0.7527354932835938,0.7780337677909851,0.8018117360066455,0.8070740880273626,0.8388561011492138,0.7848855874231114,0.8279342189579075,0.798956017491417,0.8405125827762858,0.9582736166874876,0.8522887610315298,0.7870198309500117,0.7762353839219887,0.6679696828115943,0.7926317390369193,0.6635013671553969,0.6251325652718809,0.6052247747262304,0.6180905783935235,0.6195017899665957,0.6837472733676762,0.7113563652113829,0.7671429050109879,0.8367636103466141,0.913157481022654,1.4864398813490987,1.8015483666909806,1.27201781731386,0.8854509720395349,0.7564597776641737,0.8112978824603225,0.7207196012519187,0.8216495414982404,0.6983705540087256,0.6447583278515595,0.6389349084664605,0.6342617825331137,0.7996980459653622,0.78333085749252,0.9332355865941739,1.293318079468265,1.4515255414074686,1.3516011979711284,1.036728294400555,0.8429420940314829,0.7627819682796928,0.6965344011062756,0.7024579496672144,0.7346430189659344,0.7395925674879709,0.9263851633386103,0.7120528082162989,0.7961339344745176,0.8324204361794988,0.7417827008005164,0.7416025849805968,0.7316285186470933,0.7612581037482304,0.7521902694604085,0.7672325762811812,0.8472204217217584,1.5622999967110027,1.2092143938023063,1.22937371173556,1.3771193758426568,1.2313359799011487,1.1752036901245857,0.9537607687869394,1.1324671618770281,1.0027860395646122,0.8628203041585946,0.9315707654878465,0.8960594391853643,0.9671286493751147,1.0781260730938602,0.9311570418482253,0.9637451773826992,1.1749202776780072,1.2669874353772825,1.0301647839033015,1.1184624794767581,1.5221687085212208,1.3482583609317966,1.254416066784564,1.551238200828466,1.7754980250655779,1.4393571720518143,1.5146830488552134,1.3858885274752766,1.5767363421483795,1.1599378213558937,1.14818847046064,1.3835638381196653,1.3472472893115526,1.7538576876910705,1.526847227181671,1.966387048861208,1.4052848269780616,1.4170358133665182,1.4192194571529475,1.2504429737098157,1.2606927233587863,1.0862942501183919,1.0821057765044102,1.0814341751840497,1.1359943531273744,0.9505437570077402,1.0932509623605566,1.392836419844706,1.2519575853463822,1.2933763890422587,0.9667497398402565,0.9123118032625923,1.0303010404664266,1.20699400104066,1.4596890282074524,1.6254532277292462,1.742475377100854,1.4780621378262688,1.6561864890402749,1.8118832389623207,1.6352979612305727,1.6328882755401743,2.0013844567010444,2.122482441438116,1.8707094814902596,1.9881662337002766,2.2959880571258235,2.2813919327648793,2.0115778807020996,2.118975106140793,1.79339658542615,1.7577196279766718,1.6001192827840511,1.4936622849232057,1.5290076868738471,1.3332402672892096,1.2469569616656824,1.20474020843622,1.1758030691779988,1.0387932583780126,1.075108065908529,1.2057832659855658,1.0877937427668958,1.1395848484424347,1.124153373727397,1.3868620748772191,1.251345942892756,1.2497655621449666,1.4478093797061955,1.5184131714855047,1.4730375553301198,1.2356226652800162,1.039975339655217,0.999610707965479,1.1505888306714371,1.2036069356907066,1.3922969470694626,1.3943519664066084,1.0972837426247608,1.0100757632014954,0.928684204502997,1.038844612965891,0.9633322936074628,0.9042859611987268,0.9854878592745849,0.9808589102148493,0.8493399711951959,0.97225839718858,0.9793994737507338,0.827190692367147,1.0749587919606713,1.0883026218851028,1.4665454488849412,1.62578259857119,2.9297855843248293,3.9845798576544063],[1.203273960757078,0.6192294915257626,0.6015924279399357,0.44957138009349795,0.5333145152738799,0.4604465812919645,0.42091891529119696,0.4273272054763829,0.3893944017186372,0.3136730915302671,0.3511433053656934,0.4449785785794278,0.3488758137759497,0.35338197579626407,0.49527821841695097,0.4475414766079807,0.43726824092334227,0.5096295387853026,0.5737432810092801,0.5301694652282702,0.6059429186854177,0.5839153769433744,0.7580132634456834,0.8845495016147592,0.7022665895652828,0.6311477845833822,0.4853528686877172,0.41673482732348194,0.4454167023500936,0.45051746685861127,0.5495979274533788,0.49124543266211684,0.6450535925236063,0.5694570246032414,0.507032394479935,0.47531192885378315,0.4458120063006603,0.442987824619057,0.4006582667031863,0.42361845794012326,0.4545820021179144,0.5435585752202166,0.553485902994336,0.7524517036694894,1.14792332355407,1.6860542693463223,1.7998392456920127,0.9690529770224094,2.166027117081789,1.9689112052563686,0.8795286370103088,2.092746561580327,1.0672657090898459,0.5975885987977325,1.5491276568941699,1.0678837906680387,1.2637059869351173,1.6995383051944193,0.9110282135304415,0.9212359212840592,0.7471296547444773,0.6660416360616247,0.6712513661738867,0.7420494678375504,0.6107935189537285,0.5659880688340693,0.8197905569965624,0.6304202205479571,0.8028410806743718,0.6679099434319559,0.8769743119942728,1.2691614114248866,0.8872271991266882,0.9675638034107474,0.6745201295898114,1.2767056921004205,0.5941162841697959,0.5767730020279255,0.5273383097202833,0.5603306479641001,0.5395491983900266,0.6149982100746327,1.0347507042651156,0.5062258727100998,0.6590885605583353,0.4709774439779915,0.468358746442065,0.5007143462515603,0.4808348114851292,0.5982511483068474,0.5908812340837117,0.8556121619393028,0.6883739243035375,0.6343019321111291,0.5772592427986852,0.6934497173121474,0.6652730011202672,0.5638086613842603,0.5166658484902852,0.8031072149362133,0.5323370205921166,0.6017171504378187,0.4586412801089611,0.57235319581006,0.6763583682812154,0.5943953942778267,0.7399285521616963,0.6544514665635774,0.7001031354789939,0.6667305429023034,0.5105082852818732,0.41700541728829565,0.38540221263123453,0.4053073746846674,0.4205515974914072,0.44151628508600094,0.4144859402126106,0.46381736611221225,0.6129688025493889,0.5308227481613591,0.4831822302345986,0.43242578699363965,0.41964014004204075,0.3952610799411803,0.3775710701234528,0.4121038484110948,0.5135970348600954,0.4517978978551177,0.4768685539579813,0.554946912854767,0.5068601828309287,0.5433872740326441,0.5191706461985234,0.6022072159772497,0.5525960621703545,0.6016218966300018,0.7815381904160124,0.6559573301742904,0.6629803374126412,0.592650720042935,0.5447986060123525,0.7138200984052532,0.5825604880784796,0.4300731862092507,0.3923339199447926,0.40351304149309775,0.39012012397996354,0.40940453520930314,0.38455781627616203,0.42200674457478343,0.49034291284026454,0.5786825654164114,1.2049454747189934,1.769966899975796,1.2198905236148128,0.6325185061765192,0.4647561798897245,0.5125658778995765,0.4104597889552516,0.4982627074859774,0.40934910907009103,0.39312338683561154,0.4188472545629258,0.3897769550880239,0.5749940001433662,0.6025759697479401,0.7219857619796347,1.083872109102975,1.2391961780196146,1.1762649807216503,0.8205915862574293,0.6225543318113865,0.5159905460187121,0.42681799777292273,0.39158714423760893,0.455453951632754,0.44525096918006374,0.6673964857480037,0.42282724889774387,0.5403491212757495,0.6621538277703076,0.47673312873442975,0.478383627100298,0.486075971739201,0.5322376218135151,0.5105219155678519,0.5148388756083608,0.6881050092181151,1.3770399678207579,0.982500785675548,1.241767266778049,1.26064583136588,1.0699395017275077,1.0428476128937123,0.7532002177073727,0.8828973784989564,0.7764142990615748,0.5677091667698351,0.6450216508602153,0.621813102718692,0.7633735758116771,0.9414607407462798,0.7169191178634412,0.740260065249497,1.0600963715942235,1.170850691342262,0.8111073648006039,0.9541893300577328,1.4576427983942484,1.2320151238323787,1.1068388492741101,1.4492257681523504,1.6922533362210068,1.2901335777631864,1.3869542659429417,1.2239057500509078,1.4845584635912241,0.9847582431813608,0.9926736255854177,1.266010544227846,1.2040226964787197,1.6883235407519268,1.4081894089577434,1.9071979228580913,1.3129620487361422,1.3363646493524393,1.3330709408084436,1.153964352620266,1.0939892749189943,0.9159791056710455,0.9450686163214377,0.8814578209057051,0.9345774552630471,0.7235606941120041,0.9180278472363035,1.0791836332932205,0.98700148229012,1.046267647103307,0.687847626180774,0.7025505811332919,0.8622474153790041,1.1229319778827997,1.41457724420547,1.615842920479229,1.7155944316571738,1.406299722834613,1.6355632657184054,1.8352452513740174,1.6164189103026976,1.6218317138201876,2.0385887245766057,2.174279481997856,1.8648661693256647,1.9902117078827308,2.3289177588908734,2.3031666855592277,1.9766190757996265,2.0969320930081907,1.7428969809544177,1.7188934518874202,1.5583180886337031,1.438062494763926,1.4626747800948467,1.234641897677079,1.135314917551545,1.0745798404884457,1.0279602436051212,0.8375625531651646,0.8906063471724064,1.033214694134028,0.8744264862619131,0.9002229289133323,0.8955768769794145,1.1908328503915029,1.041947740538769,1.0317905717121598,1.2769374041408745,1.3884718251198018,1.3070127012345358,1.0809027683190395,0.8584876837844289,0.7654771323218823,0.9603853743408858,0.9669660253211547,1.2018932134667475,1.1712783645319114,0.8307351217215841,0.7284833158256631,0.6339472907092087,0.7948071338942342,0.5716633974542965,0.5808161658194749,0.6291185971704569,0.690146403660972,0.5801124423429813,0.6391117640353938,0.6336589094205702,0.5101543446271742,0.7007618186610648,0.8418720754998699,1.4287474745675743,1.6959499749311435,2.9923057863514813,4.080512305405369],[1.3148817610970314,0.6460918138497491,0.6202805191009579,0.4507520195610895,0.4838521317789829,0.42502585258968245,0.37969228665471605,0.4254603813152994,0.3669384258899072,0.28667308379738227,0.3324672174673757,0.4522483489439004,0.3284389069751465,0.32739290128211673,0.4911220473042493,0.4443378407639565,0.41604531840704984,0.5098197195519134,0.5817086438927231,0.5362643736868757,0.6072539495562423,0.5763000284627922,0.7423488893676441,0.8569925343293319,0.6505546383058525,0.6021519355577454,0.4880733851655019,0.42568209682827407,0.44886757858999754,0.4492140728056945,0.5529929653870437,0.48430182668806004,0.675731807537284,0.5834588857923,0.512231181837179,0.46999396537246735,0.4454088552628798,0.431602035169197,0.3908181887324126,0.407313788782197,0.44399058480167186,0.5384295748457106,0.5495995203992268,0.7315369609160463,1.1242455423483932,1.6390060096787866,1.752976654930743,0.9431331167382274,2.087241293864772,1.8542887428306702,0.8260121641596476,2.0285938888889112,1.048310623756662,0.5598560931401676,1.58101814747653,1.0982971603529263,1.4353877585023502,1.5974714294552146,0.8991544916072215,0.8309360740778461,0.7186462444211813,0.6624225405525656,0.6783603920672436,0.7329258611369021,0.6024393236394698,0.548938212893726,0.8146394986595124,0.6418809382623617,0.8097610828275985,0.6791058034742016,0.8916333945854221,1.3113233301013336,0.9050078253749294,0.9776238849623823,0.6816675855184845,1.2688621293647646,0.6074180391307378,0.6012438427695137,0.5440009540429449,0.5814828530026056,0.5620548773927655,0.621298834601121,1.035602502234529,0.5305717298302809,0.6232885479486725,0.4681318891079823,0.4588563505575716,0.511614775470216,0.4892123260622254,0.6205806108356711,0.6010135254528758,0.8396454538111697,0.6876117464557163,0.6482493138143463,0.5811605704420814,0.692284458988101,0.6638834977986252,0.5704481770966828,0.5100779396504533,0.824253333780196,0.5397258922368453,0.6372736089292853,0.4786460131637904,0.5859092047549408,0.7459887934545053,0.6222075383769802,0.813806350267855,0.6490299744147121,0.6981198813829074,0.6864306276255246,0.509294175723621,0.39592000409920697,0.35175419250545964,0.37774100339660416,0.3875336310774115,0.4029283131745034,0.40001391589647123,0.43910194012965836,0.6056152626967399,0.534981618128945,0.47441093105821686,0.4082365909705836,0.39471802906869147,0.3702738446686856,0.34238146319064094,0.3809764025596839,0.4869195020847901,0.4165984356542637,0.4346015993692391,0.5620101820365132,0.47799918426358373,0.529031666988211,0.49604138792619185,0.6121566315254597,0.5295941742956074,0.5759371301322246,0.7613894339388736,0.6262614254105815,0.6406631527879993,0.538431757630524,0.5431209501004352,0.6647160789562239,0.5666613885487626,0.4098062487540789,0.3810208698807316,0.38233161305193436,0.38053847727913026,0.3823448267714693,0.35209979212033266,0.4021724411842292,0.4805354869045977,0.5547178615595316,1.2010252694166805,1.7574029735127927,1.14113597058205,0.6316060347946958,0.47988957565143836,0.5186809814176474,0.4165759691059611,0.4798303297510812,0.3931227223244066,0.35759726722949275,0.39084957548369426,0.3643938000936787,0.5666854695304421,0.5711870700330564,0.6661318662728458,0.9941275964994576,1.1718341211638197,1.1367599776893893,0.7814256605762508,0.5840263679005756,0.4913511620321376,0.43445300678976095,0.38736355482624124,0.44041900880063983,0.43024892832098216,0.6841197314028287,0.416504657042769,0.5606122211322805,0.6421975430978821,0.48086392305565073,0.4731376060749429,0.4763194350985206,0.5108004553695644,0.4987999597341796,0.5006322915980345,0.6884761464011415,1.3367372976065726,0.8855642828914143,1.259838082786301,1.2004416105943856,1.0011499291902277,1.0082372213297328,0.7141805483389413,0.778332743691171,0.7632548663001076,0.5310315869846731,0.5798410268059838,0.5883386061670831,0.7575381640445641,0.9655306200353823,0.7010200601211797,0.6954786340378839,1.0585157747650968,1.1296443386049568,0.7412134883377037,0.8912621172795666,1.428431343515919,1.1163473370949941,0.9928364256015851,1.345646169182847,1.5440943878181141,1.1032866544779139,1.2149492278491592,1.0779680139866301,1.4047948835972093,0.9205294368001237,0.9402736523522724,1.2185350798444923,1.1959403731797242,1.7426912085698503,1.4596877078816912,1.9973323237647271,1.3646177270428357,1.4285238900083677,1.4151534810499382,1.2557873202771705,1.1457069884095492,0.9412177575452818,1.0135280144806988,0.891674184150889,0.9149349546888341,0.7153240416426093,0.8938433741259297,0.9623170611032164,0.9043301442340671,0.9428367541017139,0.6313072657756572,0.7376979691275818,0.920544751555563,1.1937997001165628,1.5182558993153215,1.7538695258128292,1.8441131773321393,1.4858541947208705,1.7356621264790846,1.9610346636140876,1.686002514980157,1.6688652029782942,2.108890573100554,2.223755337859892,1.8598646053941876,2.021217780374822,2.363302527472262,2.2647299063166595,1.9423470096541466,2.111717218291779,1.743716753624151,1.762491794446155,1.6094187756697234,1.5094535216346117,1.496143042461116,1.226176538498736,1.1644710030420786,1.0824020965029686,1.0036221885424939,0.798720386023799,0.8621520735983168,0.9756640937765902,0.7933642620363839,0.813998108647332,0.8232681176290872,1.117151660847852,0.9663813713307604,0.9740633387087585,1.2232792706115219,1.360105937017407,1.3140140323463572,1.0680137794917937,0.7970058119480622,0.6759460711348688,0.9841705894575912,0.9531778678816616,1.1655832485762363,1.1271635843785088,0.7610494574966588,0.6711718371591605,0.5730578888129778,0.7502676508761573,0.5275824192300222,0.5804222979985911,0.619101747688749,0.694590867109663,0.5852862307804843,0.6600912621607595,0.651697020569209,0.5069690627541815,0.77698267527013,0.8949689337697533,1.6652619868171619,2.080564428607138,3.5301711246812872,4.621443004592567],[1.2313641398681126,0.7236291512925014,0.6458610320115411,0.5195806760237445,0.5550090107769055,0.5059015467170841,0.456816337601931,0.4658897302943083,0.42667186834293513,0.37985711644963016,0.41759714134631387,0.5216432164750383,0.4283474592715467,0.43369825054082584,0.5425357185268276,0.5179892801547425,0.49206950677901135,0.5805539154538552,0.6648968504652483,0.6152561449815789,0.6982421982484359,0.6709930118152185,0.826139066148748,0.9471046072401014,0.7143659890975802,0.6838398826651612,0.5779585067418936,0.49734291455952245,0.5114886487642857,0.5187788484118482,0.6062234273744734,0.5568386320308424,0.7493276300211245,0.66034622755567,0.5815461245180392,0.5439141271922153,0.5176798627154227,0.5032577516902514,0.48460111508724646,0.5055209284823609,0.5277775690023668,0.6238571474127741,0.6407571646661768,0.7740185534771388,1.112884072707463,1.605501174532134,1.668630846377889,0.9572036098144634,1.9568778374392726,1.652724196080356,0.8150308695379183,2.05439547678523,1.1587077859856039,0.6485169324638272,1.579736188515142,1.166243496495906,1.3609733577314826,1.7540883861383292,0.9600479511918792,0.9323584105607885,0.8012829781180298,0.7379997579328724,0.7583862696880205,0.8477151287618961,0.7182121390918245,0.6534531394199337,0.8598724786211634,0.7161972045408863,0.8961236511678274,0.7394978086215559,0.9073292983893565,1.342204076529318,0.9624363543188318,1.0842320588334773,0.7467657917940193,1.3202254455196807,0.693891731437987,0.6765012262135632,0.6340446813892038,0.652953076701677,0.58810385300459,0.6482417679430188,1.0652533460389813,0.5996597365371125,0.6867512758212824,0.5237906017264887,0.523182248597113,0.573557376605549,0.5636862757066812,0.6848745510441354,0.679351784855139,0.9162599584597357,0.7697266278458296,0.7110151085776205,0.6347376881769159,0.7288511662814056,0.6862191411730957,0.605556790540808,0.5802445063481162,0.9200249076006702,0.6154573897377277,0.6868016196329995,0.5272682667620441,0.6070298697295886,0.765703885195842,0.640733169454598,0.8120271428442889,0.6790083631083536,0.7017253918251605,0.7352647876533408,0.5630098875411291,0.4624081372640433,0.43788968303877773,0.4476878392319652,0.4679068620663287,0.46490989207204253,0.48314167627844573,0.4960347857851941,0.7141726644126964,0.6218486762193427,0.5706622528587582,0.4928655648101436,0.47341241209440116,0.4581740517211974,0.4271219232115463,0.4571530153964448,0.5671866035864307,0.4748856909269481,0.4902493082318998,0.5916320484119206,0.5105857220452636,0.5555417941558689,0.5436629800532604,0.6390640834893418,0.5727822992401927,0.6169433083501176,0.7809658519134823,0.6472826491385608,0.6561844765597538,0.6279873827951177,0.5665057339336608,0.736353449545802,0.6106688330719329,0.4961179276417697,0.4700172594799909,0.47664346003962266,0.45236404785816126,0.4651766198981387,0.44722715039635336,0.4731151828963104,0.5301504829519534,0.6327881769381623,1.23985565440543,1.9216693909939955,1.3218229451585715,0.7285838763853137,0.5464031119866971,0.5780033405574526,0.49230856294311665,0.5114165085582032,0.4716086279530481,0.4384570000686278,0.4839814259920894,0.44894796271643683,0.6073006494378689,0.6477116650267876,0.7181846742251102,1.0262686353336565,1.1845729773607616,1.164264833961374,0.8063546043878987,0.6377182546101483,0.5481787647117545,0.4964850472302076,0.46263783416828735,0.5066148522220338,0.49783471056567874,0.7141816053300241,0.4903370151086161,0.5720763784351514,0.6975419325076254,0.5101350345559623,0.49974399828083316,0.5002401217053798,0.542204041114001,0.5494297478350009,0.5502484906789918,0.7305112171962874,1.3129357513406335,0.9141748752455238,1.3367719759072096,1.332144686368875,1.1049102532652428,1.0999420544723282,0.7878750270736143,0.8696376155950628,0.8044306435834033,0.5511575411617897,0.6124060333778348,0.6111008220227998,0.730914240893593,0.9365641025781398,0.7055010295102384,0.7066151193893818,1.0235072901582905,1.1213799211942221,0.7776593588281631,0.8978356074764562,1.3869125780240914,1.1363439999756324,1.0237207472784597,1.3404024922582491,1.554286848248624,1.1647868314335763,1.2637051736245175,1.1227108960726773,1.3955965102347045,0.9485994673761161,0.9454053459101632,1.1908874182549132,1.1430505732349878,1.6854695270842226,1.3478882692213705,1.915592304728918,1.277508099205255,1.3390107457915488,1.3482923037616217,1.1625797323156424,1.0637248530189125,0.8766268560985142,0.936919757279964,0.8257798132648103,0.8456508032932762,0.6647063691292985,0.9022562231186033,0.9505236667554252,0.9246347140096175,1.0165431706343793,0.6524404590147961,0.7048496886505757,0.8623170764109899,1.1427614834041666,1.45834085624145,1.6842212059714776,1.7830992066278868,1.4200608356993454,1.6508561778760082,1.8817388478040176,1.639287236145461,1.6066286136511279,2.0285278048894377,2.1516576066398976,1.8064290589152459,1.945608880540992,2.2789041932688794,2.210661339164706,1.8894705606887534,2.034457988765833,1.6738105354736548,1.6745566566541097,1.5285048682693294,1.4152970431849354,1.4151617893495394,1.1726323560975045,1.0939382358586431,1.0207765781759786,0.9697371311594,0.779836788272759,0.8295310694230108,0.9563905029646621,0.8128054768249529,0.8395454085698899,0.8435305558498972,1.1322541803039763,0.9972236929848499,0.990070747543051,1.2406111203834718,1.372507089949915,1.3071974449662298,1.0787430674082503,0.8388228895369938,0.7264768152223903,0.9890226950931506,0.9343662404498217,1.1651601084070784,1.1292089424117093,0.7907109484038869,0.6968611742876981,0.611830171759492,0.7661058455823198,0.5645233110080996,0.621541378728332,0.6506957465064145,0.744374835490133,0.6218118095378429,0.6989514287325105,0.6864065806456175,0.5562309914479883,0.8245017106037054,0.9691111454343783,1.644477913754606,1.9903349784761302,3.4231830852627385,4.563940406994391],[1.3284982001630852,0.6701448233893229,0.6214597117000243,0.4856867500906836,0.455449648720389,0.43667023451756265,0.3563426377096056,0.3956060905924774,0.33585204996279405,0.2550666555549026,0.3121204250976717,0.4339306759577993,0.32196652464592496,0.3453853216914621,0.516759348998331,0.44923617883305506,0.44364801282717403,0.5463982915966438,0.6368256922979125,0.5858315693719478,0.6662444413710984,0.617723304265353,0.7711607746615109,0.9003647270842796,0.6505380815738021,0.6318534113921869,0.5107146535312201,0.4468406579780083,0.4761422092715132,0.4670888326166654,0.5899660043998343,0.5295680791827961,0.7150037930687361,0.6307709542246627,0.5447649374190252,0.5121085620383126,0.48391749695352765,0.4794170168606229,0.4302196637202252,0.4606078136650188,0.46117295628014043,0.579594745200682,0.6096290444045828,0.7483199706568865,1.054697589770546,1.5656338349703929,1.6056746867777316,0.9145247757005819,1.9546375015417954,1.6403607588884666,0.7771658141126268,2.008256502132927,1.0430780943666718,0.5844999826856736,1.6305592857943334,1.1239155636744178,1.5373815257739534,1.6185483047119351,0.9263629155165247,0.8341240207836836,0.7438631801727964,0.727633122565479,0.7317202521971892,0.7989126736612321,0.6561131767470696,0.5975125986408603,0.8708044032773038,0.7007651574058017,0.8619088476279442,0.7223465265386388,0.9358122673269046,1.396762114062298,0.9555634581384888,1.0360217331777712,0.7296053785330565,1.3270378658712523,0.6604659232719592,0.6478513979248793,0.5989653810177665,0.6057916091361537,0.6043067288492504,0.6660374368848268,1.0390878366931366,0.6082562048011664,0.634756875036745,0.5001676841269195,0.5006032942217924,0.5416335309698745,0.5305756876796718,0.6526966221240951,0.6370842789438889,0.8878708843119554,0.7304044106174944,0.6889317490036964,0.6129351762324358,0.714109841063396,0.6767455368392502,0.5874706648584697,0.5412101013375741,0.8745327514108592,0.5860380472668113,0.6655200496322552,0.5026401261156721,0.5853507720167945,0.8243191844911192,0.6134883430489302,0.8185566107400662,0.6220621824087205,0.6602562742554944,0.6786496582392811,0.48668068581692814,0.38688930846822667,0.33533209521010804,0.3586906617229775,0.4116233560524442,0.35064933884751204,0.3851386182723276,0.44744003343590283,0.6392968268683802,0.5719263664425883,0.491934042461967,0.39229992805074815,0.3893725771079824,0.36114282569080364,0.321384424128045,0.35133669333221923,0.5074405702035106,0.3894415692446337,0.4005178031452275,0.5514173271842651,0.44889595722944214,0.5123263093167444,0.4620048816475245,0.6126269797808335,0.5034410101696142,0.5393466958720795,0.7304259397309312,0.6048070288810625,0.6265968593751347,0.5156317639002156,0.4890636783456863,0.6651224794214892,0.5878327265361712,0.4205995648797979,0.4013006317054394,0.4025358382638578,0.3903658981127321,0.39863638006895,0.37459956767696256,0.40540225523290624,0.47924389626268593,0.5675782198511847,1.2106809378892969,1.9108209303796806,1.1899199384824861,0.6719610334212291,0.48395105074076894,0.5334368998581184,0.4375415986911174,0.48733904309051157,0.40283438366227736,0.37533171853215497,0.39347305500627855,0.3864879692622909,0.5737992456233397,0.5754706280176963,0.617630218738957,0.8904870254809911,1.0529899432844885,1.0687564276144141,0.7203866394180483,0.5583860114695479,0.4739656906165742,0.4293589458911786,0.4117551716126181,0.47469151135516074,0.444990275996677,0.7165274601605419,0.4628696250776896,0.5801634224390084,0.6230105224004548,0.4713959205235319,0.47585227243087197,0.45993237075377597,0.4828500458619082,0.4931411854921271,0.5100578947065912,0.7219914569583096,1.3088975305546917,0.8464818827750885,1.2923051806709365,1.1969856524818856,0.966108990647189,0.9837329543527108,0.6924831614620368,0.6867981389941828,0.7473544849252797,0.47853728765880704,0.5192722225382883,0.5485975186297156,0.7097523375767926,0.9283141964972409,0.6495437329242246,0.6237969847103124,0.9936404845865328,1.0447400637497517,0.6533653314512993,0.8005725470729185,1.3163862302702967,0.978155463406425,0.8815261755282828,1.1958711568517661,1.3608579034878046,0.9750737824868302,1.0673108150924238,0.9521486708767819,1.2585980456745218,0.8570803698769899,0.8727241273972012,1.1154116162047423,1.1001623374670433,1.7456248143053532,1.3412352368450735,1.949214314365756,1.3217709620321758,1.4104431604559535,1.410516241801185,1.27938413107009,1.1150026294691426,0.8910236874896243,0.9915376952203181,0.850262795940516,0.8491566644439529,0.6440415050307111,0.9027253118730039,0.8256371477565205,0.8233828731683369,0.8901859775852209,0.5624761179461175,0.7153681966650353,0.909771249228596,1.1898616444277403,1.5278371097218588,1.7871607253738675,1.8619354140300213,1.468760894691618,1.7070595123382852,1.9457228451582707,1.6598358496853334,1.6201948511502815,2.0505409226657334,2.1466417273605427,1.7520536699400089,1.9219008800387085,2.2457510464256187,2.1060333611412854,1.797623523305563,1.9833565192369584,1.6297738419094483,1.679645013595048,1.5434161738159404,1.4589991420829884,1.4191178768905284,1.138982440742289,1.1018143670696448,1.0081483735557213,0.9191076027436592,0.7193296186900111,0.7891137386097387,0.9105383925013256,0.729154985674692,0.7328717580324725,0.7413610080049535,1.0494434098854606,0.9090888860484435,0.9513543751037739,1.1877480340146906,1.3486296369322917,1.317583119949215,1.1011479899720336,0.7985419105299699,0.6594615708073167,1.0550351413191483,0.9475504771609126,1.1466403962199083,1.0692815555007074,0.6910759704662237,0.6103686931029292,0.5293589790557689,0.7149618741028503,0.5056687467541683,0.5784195677681461,0.6406057828114429,0.6977698045173732,0.5565999360317506,0.6727854945917655,0.6610002318539777,0.49869803845917243,0.8105181117717329,1.0057039489540869,1.8221595790542242,2.3225286187830716,3.8345155395434896,4.942389686426733],[1.2681119988686556,0.7036784639911747,0.5972849831154768,0.5491350545393628,0.500234126254523,0.47699239620516976,0.43399409915855214,0.45922758014391263,0.41830974816858,0.4141474785066672,0.4650530300969039,0.5883884503844353,0.48316767559440665,0.4907836788713867,0.627067384532346,0.6011964321118682,0.5730134682004006,0.6808461621839612,0.772654249247593,0.7372849169887868,0.8243989054262648,0.7917877104016046,0.9525893175691474,1.117813387457641,0.7900373363671567,0.797575159040758,0.6743564633807457,0.6025529187158501,0.6158997437690885,0.6170914729472227,0.7079312869914931,0.6788889166924504,0.8326932121860654,0.7798616274550545,0.7009072244694329,0.6642077244204214,0.6326071382588087,0.6417516989696029,0.5950956677160459,0.6152951054338238,0.6229952699515591,0.7201418945598078,0.7630071170833291,0.8021066110278808,1.0643777484367511,1.5210456172029094,1.5534502748348522,0.9568953875690475,1.7842983562325618,1.4161661081346815,0.8642453859933834,2.0012316182278203,1.1937417824994567,0.6891056096722934,1.6581534992131546,1.2422654597763212,1.5375621940054403,1.7635785968229776,1.044625856817333,0.9755172552602887,0.8833074156200765,0.8810452309299796,0.9173188911010292,0.9769210696830136,0.8422941727010509,0.7585582949317811,1.0050889301342039,0.8268569570050166,0.9607776723382352,0.8239491979501524,0.9848594697240282,1.406696842412173,1.0213749967241614,1.150613029074199,0.8579550006451829,1.45399943695403,0.8268831455074802,0.8016191460891823,0.769268112538663,0.7555260039808716,0.7480278983570178,0.7933345990505286,1.1029808723820649,0.7353998450476193,0.7475489135139134,0.6486245046011294,0.6608704378543859,0.6918002993194832,0.6936350602546599,0.7986560262045925,0.7779248374384865,0.9790858499122643,0.849096184880876,0.8102412069691997,0.735951187111394,0.8052622737984798,0.7605760686375638,0.722520773533948,0.6746204764648837,0.9749588856248773,0.7107229391375974,0.7524972913418934,0.6333690606583907,0.6486334224596751,0.8791769729767211,0.6449810344866502,0.856934748441125,0.6444855701449297,0.6317268004920029,0.7439060490928279,0.5130940263378317,0.462402149109784,0.42913947975353733,0.4863441719760175,0.5547444965327749,0.5256318438040946,0.5711456906395563,0.6132182583264912,0.8346240490757646,0.7351011214657078,0.6597434918099994,0.5712799988260302,0.5590266442275066,0.49576372117456974,0.44266839828646737,0.45899629926157626,0.5515947904342741,0.44731577054002,0.43201862447454786,0.5852087710917703,0.4642396498563604,0.5257182972854695,0.49159128740712077,0.6543941668552253,0.5335541751819771,0.5630586193630068,0.712709853543373,0.6411443201968897,0.7127644734574233,0.6191305116333002,0.6190329633183717,0.7915298529196013,0.705069719730413,0.5666899593276787,0.5477107302672085,0.5430774515651173,0.5258682223977643,0.5114530114845955,0.49401342490396044,0.494064473650604,0.5464679827880865,0.6367440554275324,1.2489088473386478,2.0378364238704036,1.3136143743860254,0.785088440007022,0.6029406553588589,0.6294864561005336,0.5717744985620874,0.5581583251238886,0.5196135593463815,0.5105773665648805,0.5169898704939816,0.532944386776635,0.6678464979321838,0.6716855145831249,0.6550918881655758,0.8435258093237531,0.9911810191442862,1.0270722274215494,0.7104646837925354,0.5921902405082542,0.5660713083134257,0.5251980408029748,0.5366900297842689,0.5909435168226771,0.5968253947102335,0.8031171608576482,0.6153371212880712,0.6638174118206925,0.6988238715677974,0.5374777954306504,0.5354636959176832,0.5341464514725794,0.5617281714670391,0.6288149544432374,0.6305296934744449,0.8480060379418191,1.3059846627993337,0.8758429154949504,1.355196389862709,1.2976843726236096,1.0116526533305228,1.0135089138128694,0.6937241904437622,0.7390906511468818,0.7541417363415289,0.49410084493432055,0.5319008695917579,0.5643450397957909,0.6641403596318992,0.8858762481250968,0.6323108969324414,0.5968368752539904,0.9401758425277833,1.0021327834584723,0.6420284464713171,0.7631278151819599,1.2501238980266585,0.9367253160960478,0.8496051724246422,1.1449168605084583,1.304853007350514,0.9699079570039185,1.0423015360342278,0.9158285882840312,1.206182236185702,0.806622252145903,0.8307702219549459,1.0572812610257603,1.0297779111424041,1.7064045733509747,1.253000940870575,1.8685321641996795,1.2424202391228594,1.3423113330970218,1.3555809672569588,1.214562293447513,1.0278278401306757,0.823913682072046,0.9219720106126101,0.7927402347444275,0.7979027845877347,0.588589463929603,0.8898005209105555,0.802093812723421,0.8096222097454489,0.9250507266937059,0.5457431461517409,0.6795023057314427,0.8594094155817453,1.1439019962971781,1.4835502194622687,1.7715771679891577,1.8308114781042366,1.4171943988875735,1.6393702333687121,1.8887771766843138,1.6198067845822417,1.550384909740534,1.972411966145174,2.064725814497317,1.6710855189184228,1.8383974018546603,2.157451726246751,2.0188065575628835,1.7139494002492637,1.8947279335315736,1.5483443273060804,1.5953317041050956,1.4685629954392339,1.3810873410661422,1.338208474396561,1.070744424677019,1.0306147859222297,0.9370301269849602,0.8581091851777051,0.6732692435589942,0.7202327440839473,0.8283774337215243,0.6841264061127984,0.7008527708781694,0.7111569276201433,1.0200603496394325,0.891816282894715,0.9182738313757216,1.1630170198764649,1.3326773706457442,1.2544472051977504,1.0563771514316391,0.7744435706839118,0.6344148296037216,1.0140234044168768,0.9067523953375971,1.1114172268513915,1.0270655313903656,0.6748190221535966,0.5954724260718471,0.5293969794443015,0.7013260421404031,0.5044055456411705,0.5961013455750004,0.646668800631587,0.7564645379105713,0.5736780255416392,0.6848020969868853,0.6928053922498993,0.5408918908898424,0.8148713848974544,1.1005566373926794,1.8449605557983462,2.2890676283611073,3.7941780819415802,4.992345137678509],[1.3492921946897514,0.7027282257913442,0.6292297513095093,0.5010312757598054,0.45498493140589863,0.46927561381575283,0.3963007647416214,0.4187731152136762,0.37889672117765627,0.290054913132898,0.3373745949326798,0.48881847012801516,0.37467628325335883,0.3990760397396567,0.5867513607370123,0.5195700056916117,0.50430760540743,0.6248541514952896,0.730048343869019,0.6902445240550388,0.7779580831072697,0.733605329687887,0.8633510301321802,1.0165158727924817,0.728919637857946,0.7331458350344764,0.6089793739458588,0.5383567386924288,0.5641415808618091,0.5472410415394009,0.6841096043892803,0.6129880588082625,0.7930597867669205,0.7373725156186063,0.652877830790961,0.6133169899946412,0.575559573167003,0.589791252203172,0.5307304268491337,0.5650966613290958,0.5525383114000698,0.6656646735974263,0.7069491246675204,0.7894069103381884,1.006517462379471,1.4892180201817122,1.4871916847080133,0.9494938785277431,1.773474925363602,1.4040802764193807,0.8295084484389239,1.9822509435877622,1.115869336588593,0.6189899823487531,1.6201514509165145,1.218468366982572,1.6784521580939074,1.6329213231621431,0.9912993504568284,0.8887454748064827,0.8215362770579872,0.8408487011890872,0.8589364507774921,0.9222092706704507,0.7703776569047717,0.713115575394037,0.9723101807618882,0.8033060122529482,0.9619889265669793,0.809006057709849,1.0053881155576372,1.496140773931375,1.030779560235076,1.1376080397847241,0.8207019413876501,1.4041272324228637,0.7734861905889661,0.772029602208583,0.7196685805853501,0.7115427974600776,0.708359928197389,0.7572260265640176,1.0714646242965167,0.7109274936940561,0.694080740000016,0.5873207202211798,0.6043212613594112,0.6450034572753308,0.6402588773079139,0.7579995401598637,0.7245870553574176,0.9467269439894962,0.8192561427526126,0.7782087653735646,0.6919220496254945,0.7744157545006541,0.7293453330755716,0.6512756471847201,0.6002402606340788,0.93182843609567,0.6653381763203036,0.7124050879257255,0.5868057009929791,0.621406934043618,0.9111496175996334,0.6313786015846108,0.8328629577130255,0.6338227238512565,0.6462789431692443,0.7053224844164353,0.5070498078632836,0.4119348285720012,0.3738680725720402,0.4026710524440795,0.45872117119275296,0.38832571576946984,0.4622333195447674,0.4799836792703184,0.7084308848497686,0.6412932481284828,0.5354559144048,0.43558513024402834,0.4080247905889384,0.387442540696364,0.3530232000676113,0.3795502851682438,0.5496650534441865,0.3912833291972175,0.40689062976019463,0.562508332525848,0.4442368125182331,0.5127455955860251,0.4667308843445652,0.6422159299694241,0.5079233706807998,0.5183669179694906,0.690812245546277,0.6053652711123617,0.6593103404896721,0.5481760546356367,0.49708324758220335,0.7265874705757384,0.6669724260269504,0.5017386114620771,0.48207502856543094,0.46812102192276817,0.4616430036530574,0.46360456725571186,0.4334533880375715,0.4241142284907066,0.4899282069170346,0.588281227630716,1.2354173605258651,2.0255661636897107,1.2716125696045733,0.7620159541890745,0.544469509074704,0.5790227430118225,0.524618655570944,0.5209050458036696,0.4690011699106835,0.4399154846908398,0.4468225320951392,0.4679889791586182,0.6371955512869946,0.622588068237432,0.6021745931042074,0.7892579767338507,0.9450157262635539,1.0072989369377627,0.6726848865423389,0.5419816710286605,0.49675440145702504,0.47971044011130703,0.4833925820766851,0.5361813719197702,0.5207833398794599,0.7442638879126978,0.5488471970424226,0.6140202157654228,0.6299185197911851,0.510780255481455,0.5208648892508972,0.5030470063034957,0.5044445730158065,0.5493383302633601,0.568469616506251,0.799692619643121,1.2455869010274327,0.8046871085519972,1.3617626829796277,1.2354063788271707,0.9388487043480483,0.9702428774796794,0.6956716528515365,0.6439010708472563,0.7613469165195091,0.47644687287055243,0.5114298502607063,0.5620784425518981,0.6881258040439501,0.8984589163694975,0.628163447047704,0.5894963311362386,0.9358023426800897,0.969909590209528,0.6074864899645469,0.7417995364288317,1.214189354536117,0.8771209173207101,0.8069117926877376,1.085285668729885,1.2175687287420256,0.940764255973506,0.9869666261038702,0.8935148282866308,1.155941362095569,0.7981227541111439,0.8038318920198001,1.0312974754256492,1.0122043159533898,1.757622702900438,1.2333922134933875,1.876973237518992,1.2604722701672408,1.3758194759892401,1.3916098836371427,1.298521234986599,1.0761722509786327,0.8728738728479275,0.9811079238618641,0.8436790617590392,0.826496438474246,0.6221414844849049,0.9239082395501385,0.7521476703046505,0.7730141652285238,0.8672691086440094,0.5462037067483204,0.7149631663405386,0.9072970632716822,1.1759753700465223,1.5085902563793896,1.79947909129594,1.848044717395407,1.4261778977968742,1.6542054374576758,1.8931365289998907,1.6132139268884664,1.5490616580523129,1.954089750583623,2.028610173477057,1.623892384810618,1.8007652873980666,2.094253148890392,1.9264816984897284,1.649075678240437,1.8379284782117313,1.5128383912674679,1.5778233952837726,1.465815431987067,1.3951866099567316,1.3382045946450585,1.0674428516742442,1.049453302064715,0.9473204639347396,0.8525504476804436,0.6698488710825911,0.7282288016022862,0.8261441967526192,0.6718698068792808,0.6765907169804145,0.6774295763890787,0.9517282304403919,0.8374787059800335,0.8861111524852576,1.1075402829887537,1.2991015709658842,1.2531750481025732,1.0700673850107434,0.7738062401290963,0.6457461346710746,1.081410784657145,0.9198802719228512,1.0934607396494762,1.0123818043721327,0.6536376316341345,0.5808841541580575,0.5250379175138963,0.6979463308889364,0.49986953099924025,0.6034633783748232,0.6657332787043034,0.7438764698990983,0.5592773568134881,0.7029852984884167,0.7217554439558607,0.5331482716631171,0.8503756474165244,1.1625910955344296,1.8965926449273585,2.4175437068655223,3.869912966583045,5.07843913483105],[1.482785920847944,0.8297802049803127,0.8625062663491107,0.6596326770593457,0.7053930357900755,0.7203878345231828,0.6859237972854326,0.7075228171315502,0.6750835541990245,0.5764315461226689,0.6103925246875075,0.7654424231304251,0.6465587152836428,0.602932347131702,0.7784515394076617,0.7354715545796431,0.6998011614665233,0.792478079602987,0.878057770462816,0.8582757019331281,0.9221916117240267,0.8888060226794345,0.9928646171261175,1.0867500436574493,0.8768930409243954,0.8701034883041693,0.7850212627404474,0.722672039668818,0.7582668239200313,0.7661713842742867,0.842779011257428,0.8367560659950397,0.977428605691509,0.9015412024912496,0.8485738323557197,0.8069538270934844,0.8087183929385038,0.7940034487924966,0.7331454970538707,0.7746885668901639,0.7456793043741019,0.8250881522913965,0.8744074208669044,0.9172449003761597,1.011311020836546,1.4608108602089331,1.4031767344580466,1.057661451273488,1.7225318103533314,1.3717423619127986,0.9986627500870385,2.0390671138099035,1.2176781233369296,0.8015422501765397,1.702261684700973,1.3894625303369945,1.9082218915643925,1.6831348390993397,1.1208897735889214,1.0082851208602994,0.9478435185267372,0.9727656881693826,0.9803052406524819,1.0753515122020143,0.9234295335788629,0.8706033186316374,1.098066820927409,0.9353352029492856,1.0552377212073794,0.9176777327911136,1.0931653403571746,1.5558669796643727,1.1070579390856357,1.2224395311998453,0.9503996484107425,1.4640423676520953,0.9289066864634252,0.9193068852905708,0.8773485026970447,0.8653461711919926,0.8924449351434159,0.9353345945719004,1.2042834039863703,0.9452100734231562,0.8938417312606983,0.8022343169469045,0.809992070631157,0.8504671473082495,0.8162686575761596,0.8946148410304687,0.885413360750604,1.0480491742545863,0.9385785220131762,0.9109078442399788,0.843067907526497,0.8897774626644441,0.8488691727024572,0.8413933348647217,0.843487136238513,1.1450979521678668,0.8999727524309017,0.9769156558799672,0.8649330364712491,0.8839423493335495,1.1624172714035534,0.8848603817545522,1.0245595961793417,0.8665743295203567,0.8921824142926831,0.8965611195635013,0.8087169695157342,0.7338826243951025,0.6799551166331662,0.6443057052373506,0.6731046342095307,0.5928105224036992,0.644970822222906,0.6512512638856068,0.8602860286111566,0.8020324138335063,0.6887841703414025,0.6254739410882345,0.5686773751162513,0.5705107011798785,0.575204566605123,0.6220121575892542,0.8837381648451368,0.6940279344745428,0.7178070372047913,0.8414879472631712,0.7215605500857392,0.8074098176088487,0.7624399864838527,0.8713024328441539,0.7773813514393434,0.7647111152943309,0.903584750520424,0.8436239931206441,0.8908300249622858,0.7222901266758552,0.6067282957192524,0.8568900149189926,0.842042844858756,0.7098880654749444,0.6914863495586774,0.685901865233054,0.6994014447203014,0.7139644150633836,0.7236990876919667,0.6958858151445658,0.7697814487156797,0.8470358581484075,1.4022187618166793,2.1451503591011485,1.3919551915126713,1.019215422086706,0.8299822003066153,0.8572994240520516,0.8043183074879791,0.7778060581836632,0.7462963819954207,0.7242725604863568,0.690043780999087,0.7276611048262871,0.8928418036396694,0.7410936677140296,0.8021976559082408,0.8955345257871712,1.064769197998253,1.1186928113661792,0.852610201334234,0.7576671164411564,0.7658849366380981,0.7429149504940473,0.7495042409302181,0.8117256910572679,0.7844254453074023,0.9565337204395898,0.8057503505981461,0.8853322795542278,0.8131751673249469,0.7918760463853649,0.7996407845968911,0.7812864406364712,0.7645398463652512,0.7261476915684172,0.7511367867028728,0.9506030014061774,1.2607767601988762,0.9211146393513638,1.4300350028946858,1.4842060567962985,1.1262298099836006,1.161381054232916,0.9017255819250484,0.7871274795768686,0.9327461700765849,0.7574799933655936,0.7978535737727109,0.8490952918734932,0.9880721190906211,1.1698401074436162,0.9205091319846289,0.8863800519934046,1.1833163871849908,1.1888144821508992,0.8628551336380762,0.9850367052340433,1.3985975148564067,1.0714657498426965,1.0147098157027876,1.2545207843887158,1.342209989928618,1.1504605826541052,1.1588937178701169,1.080136938742408,1.3368908148353327,1.009861256590619,1.0189729121731186,1.2345302789266273,1.2194268942006328,1.9472952344869316,1.4310020314176157,2.089087204669266,1.526219111235901,1.6459425695341472,1.648206261778042,1.5821463756349032,1.3599882464644415,1.1662044869981254,1.2627210041933703,1.1309552296080574,1.0458045182065632,0.9063521725104561,1.1774152515551144,0.9361072302518069,0.9436570194334943,1.0010490360526991,0.8347393071294267,1.0363827881070133,1.2104331807087432,1.4484373540287514,1.768404519961227,2.0600436379968774,2.094158110245186,1.6728893297174867,1.8916146891040535,2.1088401354787494,1.8291196092269124,1.7568146707699168,2.140517293369325,2.1893421215881785,1.7752944334174134,1.959644050421649,2.2223641965543717,2.0147332014491943,1.7795151169081862,1.9833403896059867,1.6857534176223539,1.775229340871132,1.6735045739873193,1.623503887386177,1.565008882329728,1.2968271490695453,1.2968248787506391,1.1980031695886635,1.092740054459779,0.9460606164450541,1.014505163004642,1.0474031289379497,0.907244078022498,0.9140136219075548,0.9092470370744518,1.1183253816681593,0.9997170424438336,1.0125788884126705,1.1878436503293064,1.369335226814776,1.3795839343989125,1.193157714500731,0.9771584922227244,0.8857690653499912,1.2018185014030054,1.038811622151533,1.1559761156123811,1.1139280025344087,0.8835768527270167,0.8273854211947055,0.8149264794946275,0.9816852184501825,0.7683683926923661,0.9044259536893653,0.9611002424827261,1.0062840406533458,0.8434027802485268,0.9574201055718365,1.0217346212398972,0.8265137013864756,0.9598417744844603,1.283560992839412,1.9289646097793487,2.602025037789879,3.9724079961683323,5.2481366651721295],[1.3527291491653657,0.7203462567046142,0.7099639145738709,0.5486842389794805,0.5540664415202935,0.5861370431579022,0.515581029858503,0.5415539998261827,0.5125564134274663,0.4112186035960805,0.4395948657419427,0.6126161931269277,0.4842765696305322,0.4703455238707393,0.6427807917204177,0.5979537431142482,0.5622879398521714,0.6935458630255107,0.799927988871249,0.7599872331988987,0.8460817486168815,0.8053272991736293,0.9207871629639827,1.0524307992955577,0.7984117479703648,0.7974475782109767,0.6849095306009764,0.6054678195286357,0.6392068709622685,0.6333394672620114,0.7321439295663981,0.6988053301300813,0.8553361526003551,0.7854848623855036,0.7211322328670485,0.6912707634233985,0.6735682232981154,0.6714763345890803,0.6175008245371878,0.6581314977961573,0.6319561808240756,0.7347463346676883,0.7939379771871902,0.8451471873207959,0.9451892315709631,1.4244963280875003,1.3671968309224911,0.9805871457146544,1.676844518507914,1.2913831728541763,0.9337484323206983,2.005360280226416,1.1794306243555572,0.6882865886023148,1.6304949769232258,1.3315629914467553,1.8115623081325964,1.6300470152423308,1.0419883298320387,0.91501651508612,0.8566492481097283,0.8934652938807799,0.8975043427419603,0.9862921326265823,0.8334265188403207,0.783391094587666,1.0383700718400466,0.8629608005589504,0.9882610259229154,0.8528841046701483,1.0436138122202656,1.5452000255755531,1.0642519486538131,1.1814130530101015,0.8786628514517347,1.4248080658135398,0.8363814279080345,0.8126840266981319,0.7711863268382699,0.7667127921701815,0.7676856697876496,0.8276294809290468,1.1005111951979194,0.8023391186511823,0.7840012670201367,0.6767624890264278,0.6943463669142815,0.7185587884431602,0.7096022940703769,0.7960232262795708,0.7810740086524729,0.9807187194194612,0.8457847531305047,0.8089330725399915,0.7342276399768719,0.790185064086686,0.7529902951296487,0.7163683477410678,0.6947535552872476,1.045264931710098,0.7604447228661578,0.8196081813774226,0.7015971263910256,0.7269999593533727,1.0132485584208164,0.7253130502626155,0.8900052763581786,0.7034002974153372,0.706726764235734,0.7636956302614404,0.6301899021571281,0.5525755478582327,0.5128008333098248,0.49265267091095777,0.5486864605999612,0.44315091254551586,0.5184995207497457,0.5515420411435575,0.7926158871270979,0.6985309433143843,0.6126422948696264,0.5108472322587361,0.4572264655854261,0.43712555849730006,0.4099244802137437,0.4567430000587334,0.7348406650056112,0.5202520079785127,0.5398988800096792,0.6869571017691584,0.5668003634482969,0.6398972279991905,0.5931704884162131,0.7374275824314718,0.6113753878803488,0.6032405146701545,0.7624101746478071,0.7000106120161032,0.7539226848206997,0.5901879645002005,0.5332629520880231,0.7592198655955933,0.7295263270109817,0.5794350529746729,0.5648835287101693,0.5499031924915524,0.5426736982312207,0.5565672562429075,0.5487193614190784,0.5273437526226441,0.6267998000521835,0.7291973350472704,1.324042224769728,2.1391109313930605,1.3867692579624118,0.9031553314941018,0.6840217113514675,0.7114954619430144,0.6437328951662621,0.6284443996687611,0.5825595685685808,0.5593394167507391,0.5291409976010278,0.5748892741191473,0.7600204657157839,0.6513991611700763,0.6532642769733523,0.7578438574535662,0.8997891313492936,0.9813994610814121,0.6958709922019641,0.6000359296450947,0.6015640225376356,0.582301432612831,0.5904975084936165,0.6407542054775354,0.6257997084511568,0.8338064898242425,0.6561224172904865,0.7306432118899965,0.6765180492394035,0.6280760248560495,0.6357658783987611,0.6132207962637795,0.6101609318203531,0.6127488092821041,0.6330512132383946,0.8712670451720346,1.2266979623773757,0.8337698633373213,1.3229693069834523,1.3628247394259627,0.9857054135653078,1.0245288625491469,0.7821379005951993,0.706055730293518,0.8391644528455723,0.5927901172416722,0.6233573901257596,0.6827714461192538,0.797573554522328,0.9829354303032425,0.740065529428425,0.7119275834129143,1.0090430986127144,1.0275295231067754,0.7077133671886539,0.8268523521130462,1.2434032072716645,0.9309016220073212,0.8679589921702021,1.1110228925411845,1.2257074764297222,1.0107954898566194,1.0184288544349434,0.9220541031460892,1.1736350276959353,0.8726330280215594,0.8665029102870234,1.0606009582840032,1.035425540173329,1.8573414566347062,1.217680007786912,1.8669165867485347,1.3200949473650736,1.4446483192481285,1.4677730566303544,1.3951293274476584,1.1692550733968514,0.9774057529933985,1.0735745335504814,0.9407353072883646,0.8845902046431536,0.7154294546351117,1.0356565235973723,0.7852294256644237,0.81964571957374,0.9063819234446642,0.6535998200109183,0.8373754558745514,1.0186699412526101,1.265298911425245,1.5778986858667072,1.8437021905089375,1.8906054247051576,1.4773396020942542,1.6803324047259784,1.9084935212171734,1.6377697776693056,1.5787546882957004,1.9554534498801315,2.014427100758112,1.6176914356615246,1.7846850600710853,2.044289752236649,1.8674682460042287,1.6258644371548705,1.8061229597671626,1.5095188099616128,1.5836538636443211,1.4908369844010596,1.4279999085200512,1.3653959229355752,1.1197526210357671,1.1072830433246545,1.011203859965237,0.9219839090061386,0.772115027188393,0.8278155096535998,0.8909471753367992,0.7698931504856202,0.7577685735117317,0.7654431718287382,1.0081376234063815,0.8943970326211717,0.9061438584609057,1.0970501140822106,1.2911514984825934,1.2787558008337956,1.1183306153241535,0.883934447327103,0.7638750503885536,1.140919552473848,0.9535534135775036,1.0863509109271623,1.0065609208630018,0.7296417903088193,0.6720224909500171,0.6400849243247669,0.7999105647832673,0.6110460985975148,0.7467537757467696,0.8073990066553844,0.8666893068096709,0.6831609443513978,0.8174742612389815,0.8861132573622722,0.6610589402227827,0.8457527132718935,1.2306135352415575,1.8513835219316588,2.385152611944093,3.7133686684331755,5.030629127838606],[1.2393336387598233,0.7032286834584138,0.6142621111464339,0.46753237071460374,0.4382673216436136,0.46353699696713146,0.41753907323081996,0.45302757227103985,0.4311654295854019,0.3379899339620776,0.3862444221712572,0.5702078004993575,0.42860533144965174,0.40749940595526624,0.5542358350350685,0.532192566629428,0.5026398535913649,0.6339973702081183,0.7539083718704644,0.711458539804879,0.8103220525360958,0.7677459455395095,0.9127177243019167,1.0457609722458523,0.7577525532374969,0.7656334560381844,0.6397194784390186,0.5509768783242048,0.5669709620016221,0.573563374174364,0.6833799207373729,0.6417672567171457,0.8427233837187694,0.7565324844015618,0.6702153017354573,0.6321869083323884,0.6115522574110515,0.6052623340160062,0.5540761902900186,0.5853504423267009,0.5767388714035667,0.6850386978972774,0.7418531749574211,0.7950754643312619,0.9351376573468186,1.4176330949479035,1.351106225581722,0.950656446352223,1.6346123881612595,1.255050666385993,0.9090841846215427,1.990381609134435,1.1997294120297368,0.6386555914252533,1.599925078261522,1.2910134600580632,1.6599669455662291,1.715511953205258,1.0098970794287778,0.9128961994095263,0.8470802888741774,0.8550714298740656,0.8643705164241909,0.9520428284936849,0.8024825760087412,0.7305301924885067,0.9891913847211765,0.8145060966547932,0.9565105361788964,0.7936732138469315,1.0004746673071208,1.5012898714316174,1.010034376051503,1.1383472422686365,0.8228835700271351,1.400014584153083,0.7866656202194067,0.7694541585788448,0.7313077865634187,0.723474379310622,0.7076923332612285,0.7820321874831884,1.0603072290181006,0.7127888725361884,0.7261738265807061,0.6021546037757383,0.6236327255478588,0.6440197459829605,0.6521614122038519,0.7741707502102564,0.7433241992012515,0.9508145526564584,0.8163488323120169,0.7751657099506912,0.6954810113191418,0.7622122731115362,0.6990994618587276,0.686609069704497,0.6611345547150216,1.0171402541752785,0.7097796533092873,0.7593393966155457,0.6278189423937741,0.6498751071456719,0.9179929906336302,0.6429496349637459,0.8035674209747736,0.6353779852133603,0.6063953124889964,0.702150827658302,0.5252904207378655,0.4417070818452273,0.4078801762049652,0.39861776410265976,0.4698227872903438,0.3989275145881114,0.48546431192044465,0.5277038277357687,0.7880206203661985,0.6698793897226074,0.5898314775005563,0.47201472017971413,0.4396232265153017,0.40587201275121904,0.3472766199584046,0.36626030676289295,0.5921517996128753,0.4033813745645431,0.427393925012053,0.5704444494367606,0.4533563458314254,0.5130534564018162,0.48647465604767715,0.6304675799570267,0.5198821749882081,0.5233336876058535,0.6943634364127999,0.621111378167072,0.6894150976982849,0.553366657513455,0.5271197433462735,0.7674861045803016,0.6997484717692773,0.5299277274996774,0.5062545190308912,0.47821363699638136,0.482236672643952,0.4771834389360569,0.454670441404404,0.4359723176217605,0.5346549781153178,0.658194830087069,1.2423853008530563,2.1489730404494702,1.4499278755239389,0.8450224457028012,0.6128790768399076,0.6216942111560462,0.5638921859521183,0.5346157967531634,0.4955536437859909,0.46230124977195036,0.46216069221610234,0.49341245902561226,0.6642224861388635,0.6507831033967305,0.6123587596495826,0.733974549702871,0.8608041936872416,0.9505388716850031,0.6478964920846446,0.5403776507705338,0.515928160601961,0.4933629233774209,0.5130904245301965,0.5694111620234203,0.5625412669518891,0.7957390529833733,0.5835534483277274,0.6339508789397185,0.6324401428664426,0.5359671962881352,0.538274482114163,0.5193708084901245,0.5341486822702642,0.5674890825084609,0.5835964186971724,0.8327660833204937,1.2225179705603502,0.8223458749229765,1.360595945889297,1.3570250161655615,0.9932089937217629,0.9875395203854656,0.7022142932806195,0.6850220904932209,0.7738906230091396,0.4674389883101418,0.5008650148317938,0.5491315220478432,0.6230645271622385,0.8182982844553883,0.5897109560647058,0.5597171238468205,0.8472900357726704,0.9018910192514645,0.5814072805373218,0.6991527255173715,1.113764402213337,0.8528636095441205,0.7902113781056399,1.0199236521693724,1.1605786230750907,0.969730211555478,0.964160712216968,0.8674033908404077,1.1094744655872026,0.7801764609697269,0.7603750259159808,0.9310728226853745,0.8894713640577873,1.6938582481676046,1.0550144053516581,1.7056313324634629,1.1157570830171961,1.217330965914563,1.2477906646358667,1.1712655796136855,0.946660629178696,0.7773888393360251,0.9017275666162557,0.7885261009570792,0.7558534643631203,0.5582096252223457,0.942181420028471,0.7009211169733981,0.7327414282957733,0.8481628732593818,0.527732791418618,0.664117752815417,0.8175762233367302,1.0907187568157004,1.386730419567247,1.6713245035934048,1.7132987715789918,1.2964481123595548,1.4826371443106827,1.733903240925088,1.481109051986053,1.404317517065564,1.7678006520746685,1.8433780104234467,1.4726276513441667,1.6166499827347114,1.8854158309687579,1.7656192158341066,1.4994744989457078,1.646553585004616,1.353096292256238,1.399963055811113,1.3037436983015753,1.2321940860082792,1.1772000438049064,0.9623904677991344,0.9267794292881596,0.8413415270563726,0.7810757885693167,0.6200837826051896,0.6614003000181945,0.7699661558506252,0.6477077399965148,0.6387826640376596,0.6506788509427728,0.9161381025135864,0.8171927478000176,0.8492519309596112,1.0755599276414474,1.2943021457821087,1.1899679745681322,1.063356144466506,0.8169036043540505,0.6794420154577036,1.0990655848687825,0.8944951103151847,1.0440065917745651,0.9509970860048295,0.6240144792650569,0.5619716836242326,0.5158904034911741,0.680317985858762,0.46282896483423996,0.6131936716549299,0.6742483088637574,0.8250483057266791,0.5525402680481407,0.660328652942432,0.7342835112079207,0.5285301662573068,0.8078604814689296,1.2061532149775447,1.7816466577553651,2.1001535861625706,3.424209345834958,4.751415999947786],[1.182140895547713,0.6973752334805526,0.5832985557169545,0.45412685141930986,0.43073825052555736,0.4425906794365276,0.3970701171570383,0.39617315309174644,0.3953549299016505,0.3039559041778623,0.3455471249436116,0.5148680823984401,0.3827159395996591,0.37899935725574874,0.5226605353652635,0.49069470266909915,0.47083800697507155,0.5994476648130769,0.7076518788967873,0.6642541105085373,0.7401447777353035,0.7008049044180831,0.8318772083512375,0.9712393193336187,0.7025157052926515,0.7021623503429282,0.5968676093235069,0.5174913336089536,0.5321425838978076,0.5270392779759985,0.6306125254117804,0.5793798673776457,0.7654361497278942,0.6712041564088749,0.596034470154652,0.5693683984217558,0.5404865895453295,0.5540909501080326,0.5054926875283072,0.5323816895401783,0.5355385016616756,0.6434521422894075,0.6871008799021882,0.7691390541254016,0.9602029996265213,1.4436502514656706,1.4028258228179211,0.9328855631288405,1.7151642148632948,1.3374866388560969,0.8464278268328047,1.9905279034098675,1.1325544761398285,0.6028789432567222,1.5961768551091136,1.2179273017761325,1.6100366442422545,1.704994918005756,0.9599152141676977,0.8671501414003385,0.7981119528789186,0.7867061178092779,0.7872507267468789,0.8518004596742009,0.7211742848420362,0.6642144340718618,0.9303192424507399,0.7577142695545298,0.9084135532331543,0.7648291311138584,0.9710546920694367,1.4596844603713206,0.9805940403024143,1.0719527684860974,0.760734852987939,1.3318576199779562,0.7094093834710963,0.6817046362754964,0.6464682811300162,0.6574813686768709,0.6354452486471581,0.7256713528738223,1.024483355371527,0.6470113033060224,0.6900264266121409,0.5465303403965001,0.5664343346556457,0.5734807146168436,0.58795730084689,0.6943662662228918,0.6750295766797562,0.8914196346361933,0.7468291302594184,0.7066115210300326,0.6397943540698028,0.7250284455338274,0.6586615834694465,0.6200573951881257,0.5816594505338446,0.9231698505445702,0.6276397173741962,0.67356024825961,0.5483061956639272,0.5809882281558423,0.8402647582391146,0.5826128154085656,0.7434826820717066,0.5875950598278935,0.5579865064905263,0.6745391161379888,0.48276191258268675,0.4021132265748095,0.3745723341859267,0.38124075907843663,0.4529479326127827,0.3842067671242634,0.45910682358807775,0.49380032825726367,0.7009541680611112,0.6342209636038204,0.5479250477431887,0.4444867565107823,0.41634285789651126,0.39955784801045763,0.33683892079901456,0.3595899995356869,0.5761167272516639,0.3843559341959486,0.39758948202869454,0.5458057180976476,0.4307923673870695,0.48110905887890715,0.4561067070206174,0.6048278476611691,0.49623712577642237,0.5026093310679058,0.6818590665402469,0.6164662581024107,0.69036683416075,0.5365781901274972,0.49643501976038723,0.7291791650940355,0.6747900784609858,0.5085805471419422,0.47578693003799843,0.4462392634914665,0.46049513685372256,0.44279928404601704,0.4175311940454947,0.40046647425963516,0.47108354850114703,0.5984715593316674,1.1612334389501067,2.0671864557492343,1.4216357156947839,0.746827459866768,0.5465882965965717,0.5560584405743104,0.5020497256060914,0.48470683321126995,0.46410454365733456,0.41911966277104057,0.43267385651333834,0.4530735033728835,0.6298493375782103,0.6389850778571312,0.593814752222919,0.7340719898912211,0.856990553238476,0.9460056221936226,0.6391573870468027,0.5252697142708905,0.4882789147914922,0.45961341114611104,0.46390289742911545,0.5063519521866169,0.4989195056094782,0.7238105689058792,0.5190040122908075,0.5818029644825766,0.6122048998947467,0.4896554873277739,0.49669929193089984,0.48170937231336464,0.5052468925366354,0.5375031740339239,0.5522489803106242,0.8053338827077263,1.2321363958304428,0.8146889561693008,1.3469758344121179,1.3292483724504698,0.9810148690933336,0.9741163163547608,0.6788005180265186,0.6715167124567464,0.7627798385362631,0.4489170815892106,0.48383333980086746,0.5187988068020095,0.5719500450520258,0.7660040326637847,0.5472229702131438,0.5174813711587777,0.7889469767832546,0.8547211573078195,0.5473182916536331,0.6487512344676554,1.0465347778177918,0.8068233745585177,0.7405267899826451,0.9553198993399316,1.1113852104328137,0.9354823968125651,0.9204794910872413,0.8343178384764091,1.0449376117489149,0.7246296928343501,0.7032081270735594,0.8590320424468273,0.8114599678718544,1.6409509466864338,0.969369815668824,1.6227820691707338,1.0345408603253534,1.130057644576198,1.1570877899724923,1.0798014866487489,0.8729150554654937,0.7184950872977064,0.828645083386572,0.7352848314353513,0.7214198681955303,0.5195373745043753,0.9289705146025033,0.6901586668969177,0.7231808632324304,0.8503790076536585,0.5018488847011525,0.6148036512769942,0.7581821691942241,1.013442912562261,1.3130341301441109,1.5725138763972213,1.6300325287697195,1.2219747612178178,1.382459875288976,1.6272991947229136,1.4015957900443785,1.3216392592178263,1.6594117479430388,1.7389986422792296,1.396274905490842,1.5173192283948387,1.7735702194284657,1.6917730824662065,1.413850170058248,1.5380187452534275,1.2574363326874467,1.29633235685788,1.2146524200282753,1.1423134942781128,1.0800471412590864,0.8908496467350169,0.8581457679003629,0.7713964838052368,0.7184240977336291,0.5732662545878722,0.610984364000649,0.7166960043667114,0.6049362509244834,0.613475719754842,0.6242859028760424,0.8855414243281612,0.7893996764372007,0.8217142939526337,1.0463297577574915,1.2733655900193301,1.1323232053577337,1.0333666842431959,0.7833517931225521,0.6411174872921872,1.0951088637650728,0.8768891904528744,1.0207525444760854,0.9315627987064471,0.6065025859043153,0.5385168260539366,0.4987920218477668,0.6629100325339,0.42898543251647964,0.5564915248514909,0.5968446910728165,0.7815348443959902,0.5002801887411555,0.6029130075629986,0.6644829589897854,0.47891824216869927,0.8062168973391176,1.1591904630933307,1.6585586441415392,1.8396562023791923,3.095581703292052,4.431309835236496],[1.2246713872752675,0.7811954949823017,0.6777997883329396,0.5310038999603012,0.5300226504205011,0.5555849025022804,0.5223301980210947,0.5754464000870205,0.5580801516051048,0.4329734964737711,0.48011362075443625,0.6962720807185618,0.5121632605589305,0.4486333976380466,0.5825779904970395,0.564591520662248,0.5248803876613588,0.6396485648645006,0.7579998698926323,0.7100660955712828,0.797255382059256,0.7573902250589191,0.9013127999350624,1.036920042919871,0.7504426568568341,0.7558773528564584,0.6396445798124322,0.5666702248991448,0.5870208485386853,0.6027316098717209,0.6763877875865533,0.6723182066791621,0.8295202830527035,0.7330198525322055,0.6703426484039289,0.6344911219486348,0.642609726323499,0.6246446997406088,0.5748909666813795,0.6094180232272239,0.5945184714132276,0.6935057271338261,0.7468462989744827,0.7915463716645602,0.9291790371305038,1.36614355575858,1.3200303057216551,0.9551094030366668,1.5836413857006502,1.1931947019903109,0.9389092324741114,1.9539553408315078,1.1803992910370964,0.6592336481473331,1.6280403010648392,1.269595555417063,1.6944817868514719,1.7047336165379157,1.0025214130503608,0.8958599286406194,0.8300750979255365,0.8417124214579015,0.838685867709838,0.9136805127537072,0.7634602076784892,0.7117030890833828,0.9777693673026215,0.8030753566527787,0.9409783962905818,0.8134224599229887,1.0134359071300099,1.5475577963207505,1.0321098109555327,1.1390700003934715,0.800081628945474,1.3592782708605928,0.7578861080789895,0.7317484028638813,0.7099131362123315,0.7109421637313066,0.7067456010767172,0.7863132112458114,1.0651791378520017,0.7468807721959906,0.7549115233356543,0.6302622474480118,0.6343056164853204,0.652432134357784,0.6471168979562889,0.7506368959064302,0.7201362638188072,0.9143681259123996,0.7792852581216839,0.754131306624483,0.6922036574339171,0.7533181543607165,0.7080330982732079,0.7177106038207359,0.746029380935344,1.0964136992888702,0.7704922004014287,0.8391817987147037,0.6932874624500031,0.7294177038710546,0.9352639602359132,0.7186412940152188,0.8507445695385467,0.7186719296391921,0.6694996436795053,0.7776597479303407,0.6268551706084265,0.5474115110566597,0.5125913055129324,0.46741716884391793,0.5168884664829598,0.4249778016391233,0.497407004040277,0.5479002358728949,0.7913917945387308,0.6793018550110865,0.6224081706228689,0.5050984640786631,0.4532069865779507,0.43632795887230685,0.3962226119999465,0.42778301958505854,0.6866495058472473,0.48872655027897105,0.5300288270459165,0.6391263356105402,0.5254652362457365,0.588564048087271,0.5498982949945586,0.6844462231350146,0.5768565367355031,0.5670070250831459,0.7315072771096659,0.6644781359395254,0.7378143628558832,0.5752853697568665,0.5077116142882592,0.7448772722250739,0.7020374266885453,0.5477573491772564,0.533635056951833,0.5188844647479461,0.5110854876646265,0.525391785134358,0.5414407120668395,0.5295391952315812,0.643159986218095,0.7598108922552538,1.2556515238461816,2.1308712165341945,1.551688720688877,0.9310461672085025,0.720520659509254,0.7253082092320547,0.6451602084275023,0.6194991973281202,0.5792349138148111,0.5121406845627453,0.5006781072295124,0.5343235685035719,0.7212178408480144,0.6914913360655804,0.6353851193219353,0.7219841933263047,0.8302915024614964,0.9358314790805667,0.6628434759346129,0.573321352296537,0.5677520757156252,0.5473458294644113,0.5674565609823727,0.6274271757053781,0.6187126469468844,0.8370000135590664,0.6268596441869703,0.6882582786912346,0.6535334559436531,0.5932325857650909,0.5892957169293598,0.5685192729445477,0.56658453616183,0.6097944280139174,0.6071818461778892,0.8573392166941002,1.1853359376148702,0.8079145135838846,1.3799014074091827,1.3860233272211995,1.0006166103632965,1.0015535705176422,0.7450904319427929,0.7316938049072609,0.8697701659128697,0.5433583564900607,0.5553422307204974,0.6089837670868224,0.6629947591588432,0.8461995426969614,0.6482727551641122,0.6150164126190967,0.851139593242388,0.9061240626593752,0.6178248750135958,0.7320579982296971,1.084622466609367,0.8711292618043914,0.8148039486175049,0.9992453325159983,1.1354635815827272,1.0301321043552902,0.9877734317445643,0.8829047085690003,1.101502851310387,0.7865560267476001,0.7867210293116326,0.925586634034043,0.8723675614061029,1.698573679216205,1.0170171286170353,1.6508121218784055,1.0835285967074,1.1659620946550164,1.1972700646335552,1.148848922233626,0.9269615664990336,0.8012779223746602,0.920732623553006,0.8328744037675342,0.7768891477108614,0.6087436794949224,1.0180889689567199,0.7070872681580226,0.7496320794434204,0.8707473696047886,0.5675713497980941,0.7089603177920443,0.8443034337471584,1.0858606504785777,1.3713158899697133,1.6212125247709461,1.669826796297176,1.262172387965122,1.4055854952820246,1.653950232199833,1.424401565600239,1.3385512219076625,1.6513235121676106,1.71212003093126,1.3856318728796506,1.5095019577807502,1.7424628445145374,1.661871980131632,1.4073567409266659,1.523108242911905,1.2723168587892963,1.3139874398874323,1.2378318225139673,1.1840675620424375,1.1202293048868914,0.9494715088642763,0.923012462230466,0.8426492681898287,0.7944460817919917,0.6704506598906482,0.705915036602208,0.7586485067124822,0.662912416238796,0.6598665627906952,0.6694190147790245,0.905876785382711,0.8195266861475632,0.8537557200649594,1.0625481515067212,1.3053501996332835,1.152924469303295,1.065466238348958,0.8532601844646981,0.7417511091327953,1.1629924683765165,0.9245283355999548,1.025356257521805,0.9235644581161101,0.6550265466133943,0.6007338641089038,0.5795920531650195,0.7098076165201282,0.5523890321052652,0.6973807491992354,0.7655993736653744,0.9461693211983556,0.6388448031394169,0.718105880873664,0.8050463947635284,0.62257957342399,0.8956337563651062,1.2798788605795715,1.677618113994146,1.8206471445540346,2.9934260031169817,4.427800741025305],[1.3575364102249239,0.9230585347379162,0.8036035172704055,0.6762667517496773,0.6909755003633079,0.7343959479042167,0.6699834561749272,0.7157861712455549,0.7184944416375386,0.5362776001230214,0.5745457209505257,0.781119390013302,0.548551481244098,0.5208609514135064,0.6229983566394741,0.586971485420269,0.5784617804220932,0.7044947998994182,0.8458280183509177,0.7709439270865025,0.8538600215097205,0.8109329056595528,0.908958610538265,1.0560220458231209,0.809000171151298,0.8028136224254986,0.7059777510508597,0.6297268592306173,0.6227782864842196,0.6116475783104477,0.6795922046253203,0.6371424224098133,0.7751648639082099,0.6757606798349617,0.6310039206951464,0.6331205766616714,0.6151559285255247,0.6316386084834464,0.5963530328833003,0.6119407402676497,0.6304572688950354,0.7486196093412448,0.7853151193416037,0.8482936978489659,1.0176015375932248,1.434360681807689,1.4110925064239386,1.009845013079497,1.6988026986161373,1.3242366851507783,0.938152079438631,1.9601186355597502,1.1539469316590907,0.700846494810925,1.6617069397934594,1.2452101316053117,1.6736549545947872,1.7313744281019658,1.0244167053760231,0.9317616946206488,0.8542346587590104,0.8547420046449965,0.8314620647966227,0.9484491256900656,0.8256737836120691,0.7682853533871209,0.9916380765459422,0.8797406678722391,1.0727439913466905,0.9401771104119766,1.1822064574503133,1.681378902343355,1.2105759760203123,1.2331486160512144,0.8810167448843974,1.3311411300402718,0.7946052260751018,0.7349790977030617,0.6994622455068066,0.7237102369269628,0.6749319513584213,0.7846309251512593,1.0712044107837677,0.7105901039282813,0.7545541126535711,0.6209604857591762,0.6377980051423519,0.6451956043003609,0.6555164386649178,0.7304908797515304,0.7301595370890356,0.9540628059079967,0.7971894289803308,0.7102066844030441,0.6696727389302447,0.747918907559985,0.7087314640922294,0.6882115460389081,0.7499988816029842,1.088039778584317,0.7605646128526474,0.8486157188315665,0.6838392353996757,0.7728451025976392,0.9310383230731083,0.7714010927771017,0.8981442554881786,0.7811803511580243,0.7458716151082054,0.9036538346203821,0.7657492350510766,0.6440256593069086,0.6301614586597771,0.5444802276815733,0.5697825837425262,0.4744342762728603,0.5770250314669885,0.6284812795939827,0.84721281213038,0.7738515691400277,0.7047292062921717,0.5695075308585478,0.5179566178208251,0.49091600679943415,0.5027486867640032,0.5266000106793555,0.7935247973580577,0.5858096700350458,0.6136298464126511,0.7148615954369955,0.6178038646724563,0.670553879246372,0.6169830755759451,0.7563415105640571,0.6405626717950269,0.6325730490319504,0.7934072117856193,0.6993658053185017,0.7711594744077483,0.6251857405940302,0.6010275475910429,0.7946376841378909,0.7583421579728761,0.6118893409564422,0.5912213446184725,0.5510657918802,0.5704571253595347,0.5827563926776724,0.6015356964633498,0.6303120437256765,0.7202968455170763,0.8483269589332025,1.2473681467569813,2.0705471435584912,1.5992531905429719,0.966846661485763,0.7853769874241993,0.7902190685084266,0.6724163266742682,0.6728802646334776,0.6202387513375627,0.5408514924698276,0.5581892838198262,0.5714015272743684,0.747682547726765,0.7412749376065911,0.6978037382278853,0.7865157289615458,0.8787038121838288,0.9802081093454145,0.7239904861264858,0.6377208074477705,0.6108334640662607,0.588475530826466,0.5937708469817246,0.6420368165651477,0.6266218396526282,0.8347325511309,0.6214313245257733,0.7013282057438842,0.6944983855383597,0.6357003407014464,0.6271056068350205,0.5989703405004927,0.6044731041417452,0.6195930010037207,0.628859661730159,0.8541963659297871,1.256912013220477,0.8723803465982911,1.4112005365621134,1.434817650309156,1.0622181135037734,1.0386366360685995,0.7799242485969445,0.7965397983450212,0.9194562506011755,0.6272549339728971,0.6598027085950123,0.7286977958323491,0.790924619873198,0.9697207537124135,0.7896932401634297,0.7540399128515775,0.9668087193034623,1.0289056282855145,0.7723872065816818,0.8658459631629505,1.1850034817147614,1.0008950884771401,0.9479897986787119,1.1006534069825318,1.2407654284210283,1.1609002451193087,1.103476375581966,1.0148295960356668,1.185077167458844,0.8768284002211013,0.882465001007981,1.00872551436894,0.9694443678001343,1.7143302457210603,1.089777562798837,1.6761381733834384,1.1606475823547688,1.248532631450214,1.2658152512202827,1.2070503179831396,1.0165816608947167,0.9009418982960182,0.9826979398078447,0.9198171790499435,0.8901351886787251,0.7310114773683352,1.0926886411702394,0.7823883612711756,0.8141258025940206,0.9387157350649397,0.6794493195450676,0.7854411672094147,0.9212014651733836,1.1545721896307248,1.4194767372002155,1.6604536901931495,1.6901848148354401,1.3198301457526305,1.4481608893787508,1.6773432151040457,1.4734411584105451,1.4035132478281898,1.6646674306543712,1.724420145575989,1.450585118612878,1.5489070870766062,1.7607327010927472,1.7116304019633903,1.476643723769685,1.568662383479917,1.334679111444724,1.3637716295580764,1.3063315364882169,1.2584067854392322,1.1789799169186839,1.0465520164656639,1.020038145469302,0.9544325070888502,0.9117325385763444,0.7985880158607057,0.8156638014635834,0.8804704447161333,0.783232214909574,0.7738338618435762,0.7984286246893503,0.9752168961925866,0.8942309646673716,0.911751810171125,1.089224502365922,1.3242972146262932,1.178699435963204,1.1089624096134525,0.9109777283011021,0.8375738582956771,1.2119695198408125,0.9856985370506202,1.068860132002241,0.9861686040485608,0.7730860512625567,0.7157544332673129,0.6917099027564845,0.7870137710865542,0.7081654843759811,0.8577372821987532,0.9054093545584145,1.0511286924468966,0.8036313771586289,0.9097157420389698,0.9766058078065318,0.8086126335198259,1.037251210883542,1.349817989466384,1.6800976899860511,1.721748703975329,2.811689874897726,4.12624157878174],[1.0673100114167653,0.7146410347684654,0.5927267103612097,0.4427824664895253,0.4539107261176067,0.4664975508553676,0.4381689866464221,0.43793962965779454,0.4256845750578209,0.3428265801910539,0.3920789842734363,0.5441696667059315,0.4020189080778391,0.3780844762519217,0.49569619261886716,0.4981770487920702,0.48157402540143635,0.5649731241916781,0.6719836784664234,0.6321135885610087,0.7165730572043828,0.6799669751354965,0.836117445677531,1.0100024383295385,0.6992499114525924,0.7012568295994117,0.579199125819429,0.490705393121713,0.5092258762712394,0.5037428136631206,0.6049767544482526,0.5789292543956901,0.7586284996054614,0.6594762888947225,0.5797308276933693,0.5501756125021786,0.5294232004520983,0.5295118198760574,0.504780608684522,0.5295132716069045,0.5355421565263389,0.6343435004545808,0.6855185916545228,0.7434317810767168,0.9680883347318027,1.459597852803176,1.4351168036683644,0.9218189574996566,1.6785797081450715,1.30754434231569,0.8193830252929197,2.027135345780939,1.2084707883938357,0.6395326290639711,1.585339521745562,1.1983916374163617,1.3720450634591739,1.860001130368428,0.9755023494776801,0.9323514025657584,0.8272676232743135,0.7624182076204382,0.7801546710445815,0.844744260485814,0.7285312948123169,0.6445531906723074,0.888585124334223,0.7220779672100931,0.8787455579574658,0.7129483709112627,0.9161768735024676,1.3803119615519115,0.9245968959219059,1.0474990421209438,0.7356343697987089,1.3545661751309988,0.6897747748695958,0.6547266961084541,0.6289017084958146,0.6378986376214747,0.5986655456269638,0.7279915742017345,1.039946356938753,0.6128506172064333,0.7283636539917343,0.543046431175771,0.5481101370101045,0.5720047461953245,0.5598972899210893,0.6663512651279806,0.6510589319958586,0.8817159092595872,0.7387425619930459,0.6858249844772907,0.627482122702859,0.7299465315854068,0.6441603321670594,0.6372200378173695,0.6036794352999632,0.8994978193614027,0.6362245174799238,0.6730173952630106,0.5408286982450012,0.5568410506287541,0.7200022829634939,0.558252924364068,0.6749088143336839,0.6038245739931514,0.5576800127485821,0.6739948932228091,0.496552184423376,0.44094343736617425,0.4175558101787056,0.4113472809745214,0.4892191227990026,0.39228927488880383,0.44048397208668894,0.4796493290119606,0.7097537944744752,0.6103314985194763,0.5361027571584026,0.4349553147958256,0.40710051847603584,0.3980339353152473,0.35709356209866167,0.38967661565643136,0.5721532219379982,0.4115648130059456,0.4094786797327558,0.5470705361533124,0.4317495987954755,0.45639037949004607,0.45725657859080315,0.616823637980231,0.5003292668808257,0.5182750942662516,0.6776606940917881,0.6166154902655222,0.6934703747740314,0.5829157256168497,0.47594147163521644,0.7471643933522744,0.6806048914547187,0.5013978450278992,0.46668360576030865,0.45309665649841085,0.43118150267875166,0.47610130689331104,0.4580468867197457,0.44009088297720095,0.47760127186775,0.6063639338190797,1.0656681376000663,1.993427028319065,1.4594116182932177,0.7315922015336035,0.554019064466827,0.553468258494258,0.4990328815923597,0.48303066200008427,0.5115827569231993,0.4392229054038711,0.456720507006495,0.45443282615742603,0.6186934965461851,0.6727969160100893,0.6115668607024665,0.7827717532676036,0.8719809811645706,0.9508707931880152,0.6313660712254107,0.5456470749652951,0.5241113838627568,0.4685688324574486,0.47018553430826787,0.49023343473924763,0.4971321433408575,0.6855126388200281,0.5190860919879097,0.5497822418680344,0.6340741015232225,0.4887940625420241,0.4913984887032701,0.48262824077755734,0.510116043124534,0.5815771738053516,0.5704008944350417,0.8285849638091555,1.2149805211111004,0.8060814781846374,1.3639527148553108,1.4089726896923949,1.0323053207565995,0.9817668702217778,0.682011943794195,0.7732004078007342,0.7596997511860041,0.48903031659320734,0.540832130480635,0.5461230281493075,0.5498316207945003,0.7141016615840378,0.5450980344071366,0.5323173526081711,0.7557249448914758,0.8557953049719687,0.5897363209953738,0.6570607804506843,1.009568932134006,0.8313520653645478,0.7612486927837733,0.9576102037635267,1.1416489522443447,0.9531069912908541,0.9693026896054027,0.8897616869757639,1.025645349724659,0.7084117995825632,0.6840811634803504,0.8297902214955561,0.7574013165065019,1.5557024917420874,0.8842166456176642,1.5327592031256652,0.9562459846282674,1.0162316644037652,1.0258370053473034,0.9475573099228513,0.7536240369497557,0.6666993040070397,0.7005057973613055,0.6516640504617788,0.7053083530023218,0.5148732405832046,0.9255430615376099,0.8136493161251156,0.8228947210449078,0.9678876909713862,0.5340317505252631,0.5577438304966199,0.6682129958208004,0.8856834209483574,1.1780715412492582,1.4075335079324112,1.4762596703546333,1.0987252220072858,1.2317335526912427,1.4646548968103523,1.278862359239468,1.2387991410219783,1.5404779354169695,1.6372117438345204,1.3381814494099775,1.4238060223211442,1.6803833237020844,1.6674343793345734,1.3628924830509097,1.4543291075484233,1.1765199099894503,1.1872144757615126,1.1240536049122969,1.0373453969427329,0.9884453604912161,0.8380475621777911,0.7894386803453957,0.7059496371018855,0.6693242857069833,0.5626487885587194,0.5946929378090905,0.701255006964284,0.6153884697754933,0.65885645286522,0.6655240718745815,0.9160105208455869,0.833360197824094,0.8400421256278198,1.1103730093654414,1.2981499909891419,1.0718509201573643,1.0010868067356422,0.7576574957179141,0.6224420845452661,1.0473377501614265,0.8548139815749053,1.0353037656869297,0.9735370311852514,0.6668671541478269,0.5699467538768692,0.5261832139934165,0.6656218939985065,0.4515681152971176,0.5513166507664571,0.5631080038206278,0.7960952833463623,0.5146179111587748,0.5846940633774633,0.6320481018926126,0.5001637470346705,0.7764941898490862,1.08038247502284,1.5306708320250733,1.550453919431177,2.75086728002617,4.066134567667893],[0.9285919593319558,0.704674895459966,0.544268242236136,0.3957476187301894,0.4179075586687088,0.405913228502817,0.3748605042397927,0.3779674947524813,0.3631045563191503,0.31857212462411605,0.35370660286507927,0.47736961408700535,0.3810470875263341,0.39058918489012695,0.5112344239011648,0.4972288122231084,0.5086336937276967,0.5941865647060282,0.7054876911866332,0.6638359805893895,0.7472676024852767,0.7232485153506586,0.8756900380346412,1.0285137806187694,0.7549664013370488,0.747945306794388,0.6236175227511317,0.530986836418526,0.5361693159234556,0.5026566760348208,0.6030317442760438,0.5423390818369453,0.7163159597910926,0.6325509881607294,0.56768233965053,0.5630368112239045,0.5114553513036125,0.5523650688655599,0.5369726153851151,0.5580677825935629,0.5837908219010798,0.6780692403892125,0.7152016201782035,0.8005069241756579,1.0502277957441557,1.5575840432496204,1.5474888379669811,0.9763035934308305,1.778678655542257,1.4278224878350718,0.8347127762130995,2.0886527585481267,1.227904619304017,0.7105914862455889,1.5996855464315762,1.1750983738567709,1.2206551919576887,1.9788289019006504,1.0565884885295584,1.0329721550426294,0.9001001459581124,0.7861472724943381,0.7906617475797051,0.8679558563744497,0.7581072784922255,0.6820598070264645,0.9175814803794712,0.7406461181935775,0.8974471489635414,0.7496674637372571,0.9428622825603202,1.3283214438060793,0.9235386446695268,1.0297448448831168,0.7421780002145761,1.3477732115479246,0.7046691908578643,0.6596603152349593,0.6376986960905067,0.6571037833446862,0.5991841223815475,0.7492877882518378,1.0332599472381965,0.5907112234510501,0.7760350728523094,0.5542408011018795,0.564911973480144,0.5808018962921246,0.5825315488234974,0.6626897085576873,0.6566648934881362,0.8672591231336244,0.7345361075455704,0.6453091093116133,0.5988922674750056,0.6936036718043859,0.6476918682012716,0.5839298828481975,0.5342641417354324,0.7989932807433401,0.5745257171158762,0.6009115585983554,0.5086315052300168,0.5032252322131366,0.6426840693082638,0.5031642935159025,0.6062070036970201,0.5738452517939383,0.5170698924618732,0.6497326621056415,0.4402778073077801,0.40384746967637103,0.3805083551748466,0.3932749157475647,0.4988275689570832,0.4107462892952152,0.46891066417748645,0.5162735028774921,0.7409247158063132,0.6359721406718194,0.5738307897194543,0.46805289389405114,0.4308883292691958,0.39244294243750594,0.32978073083097137,0.3665696471786311,0.5120695265534274,0.38390749370615274,0.3823158084229194,0.5062110569345966,0.41969891767323464,0.4142790842283386,0.4478676924218503,0.5897016010252741,0.48654506545639215,0.5098054741724831,0.6489432285395534,0.5976639973346137,0.6682860097050924,0.6186385071026779,0.4991384193053098,0.7944041602333433,0.712008314917342,0.5293494908648249,0.4994298565342865,0.48230497693072977,0.43852527886377446,0.4780005609120822,0.4360588103522087,0.403885179097349,0.42760215591404566,0.5648524040832426,0.9856047967802503,1.900807494333264,1.451181562598653,0.6613099832811045,0.5065597130358187,0.4987032302546116,0.4627492495693316,0.44188133928929585,0.503893034387568,0.4479469598207423,0.4885477783011331,0.4813239974631785,0.6258879611836673,0.6861094124592951,0.6395706782450675,0.8292232592806238,0.901248869738338,0.9674406722567097,0.6451446140999708,0.5589108786561144,0.5384667559051824,0.46982323415118404,0.4655599212126491,0.4658713527872905,0.4795582793427182,0.6474626084839697,0.5055784522268649,0.5258564554829106,0.6671499855911798,0.46655079748337613,0.48026619242308666,0.4864078980271748,0.5153579801844509,0.6325589756059475,0.628923421489212,0.8564633118702257,1.279669090702093,0.8682246340290561,1.3993278439263042,1.4241986751284015,1.0579131390381178,1.0032807981300582,0.703376613787916,0.8356805196861108,0.7299253175985179,0.5102587022398162,0.5668548922990438,0.5352601000384871,0.5021374576369565,0.6330700672378408,0.4985193655144048,0.5042802395886992,0.6805912660564903,0.8031763755233046,0.576093986439422,0.6222007121252877,0.9464655792068483,0.8213175561881793,0.7523775836740599,0.9389721204015676,1.1419328066514087,0.9549853800803412,0.9813478376230911,0.9209133122819773,0.9978850441590795,0.6996255015217876,0.6526564085871527,0.7888308354865825,0.7044453631985081,1.4700173310705587,0.830134029591714,1.4097713477069134,0.8595898640897687,0.9040776946407154,0.9088192826285082,0.8298158686422141,0.6626251981472894,0.6061963666122805,0.614080616820118,0.6165951742049318,0.6844109736349671,0.5102331997545018,0.9448576086923967,0.8891167992272586,0.8822451794751123,1.0205308667657806,0.5614912298386613,0.5028046581037628,0.5888936302134494,0.7782656820182136,1.054743250728324,1.2566821626819735,1.34671022850964,0.9873754452294239,1.1036382386703494,1.3316538752382752,1.1688199621473598,1.1331999990670447,1.4161066941675116,1.5282498881906266,1.2611150396566497,1.3214037724508114,1.5737800259090926,1.608986337084622,1.295275492007498,1.357380811336432,1.0912898138269387,1.0778797840581023,1.0115684009092387,0.9128211054083871,0.8878101459467956,0.7613735837966569,0.6943237253521533,0.6275647988515006,0.6185455321634037,0.5285981789571799,0.5746426782390767,0.6945054411743679,0.6183914082782848,0.6794439778088577,0.6883565986979002,0.920333385340653,0.8459941987656431,0.8370172454893638,1.1361562884303096,1.3139350017334912,1.0572054288250994,0.9954758972344533,0.7509489137481006,0.6138918940164553,1.0363037612989667,0.8368473254394391,1.0338206357612811,0.968759581500413,0.6700032734783374,0.5680729038932426,0.5260977509449617,0.6509241082761574,0.42014785148596284,0.4681400348338554,0.4780028764773326,0.7572843567330625,0.43807473324034724,0.4920828792026397,0.5395479795356326,0.429233681810207,0.7233841864488365,0.9975364106696445,1.3683426068595723,1.3066425507379047,2.433798147886706,3.6858967758170995],[0.7823455363125645,0.6967355817704854,0.5432119339836786,0.4161019167530136,0.5141002493784922,0.4265259943771108,0.4606673418323708,0.4891099706322013,0.4658410324329785,0.47939128252060914,0.5552077581863246,0.6464342213384301,0.5965059130463781,0.5771805530400962,0.7955346910923979,0.7521571521515567,0.7071830156752456,0.7906841222865664,0.8567818461683148,0.8320049034552633,0.90848608509,0.900763236983087,1.002616871113772,1.1456402132783725,0.9146606275127525,0.9011166059504414,0.7803771551584598,0.7044488343853127,0.732221907205556,0.735672366351146,0.8181939832259344,0.7798470181158748,0.8994417336074654,0.8786908378777883,0.8227714068880032,0.8056255329271685,0.753994185598742,0.7484115598200061,0.7457888087900464,0.7617500755802459,0.7709682367478817,0.8291958317992343,0.8671642693529152,0.9092980591792128,1.1157900272966024,1.6944404049890178,1.5900959978385816,1.064361393488181,1.8001059616360557,1.485110021254934,0.9972889536940095,2.206286805134362,1.4144613154684604,0.9240792040828761,1.6291255193714953,1.2621271406889105,1.0486285320441506,2.2572922302504246,1.2493298170651963,1.2837963010274218,1.1220731694973918,0.9538451182987037,0.9596279406906754,1.0347260274566112,0.9620491530654639,0.8958426634393503,1.0418709896643323,0.8861563388767655,0.9730608489408618,0.924426303875055,0.9577355557227749,1.2268515506071862,1.0333446502818404,1.0997981871903173,0.929437539655932,1.5011027300706627,0.9121277490660324,0.8897796562727425,0.8692348787053439,0.8565381374992052,0.8333518811208901,0.9543637766054526,1.125705580720241,0.7516725033503466,1.0040678674967007,0.761423617609314,0.7864958165345717,0.8242996471176366,0.8194754905363449,0.8850076205774672,0.8818610138150301,1.0853578116920353,0.947835718347302,0.8726146705428566,0.8275792851086874,0.9054874124413421,0.9096626859521659,0.8158840535966159,0.7422635983969313,0.9314212136633554,0.7618840219911186,0.715842263544575,0.7218526285709108,0.6601454326052411,0.694765988761214,0.6440181709454205,0.6637176530805187,0.7056584095224597,0.5980092689743447,0.721796159559389,0.5534237972935582,0.5597255025120229,0.5403001411532102,0.5745525005913817,0.6756678156709265,0.5616426723470868,0.6358389085732592,0.6973431739814462,0.9648034708971784,0.7737203237656487,0.7436130675104564,0.6300227159135462,0.5660541619580948,0.5189904509139271,0.49832886822698447,0.5451394681343438,0.608782952919339,0.5093697288153042,0.5136330994885135,0.6130884703738952,0.5542097593699012,0.5306673681615177,0.6058029773212075,0.7065567584371693,0.6486275151213684,0.6643705934550108,0.7437334929927862,0.7024676724679813,0.7413787004981751,0.8225799756739727,0.690122060924722,0.9537398036835524,0.8018070539470392,0.7007974006947536,0.6834764953035843,0.6925810529500611,0.6219298670119995,0.6783321304743256,0.6286209248900859,0.563268313150513,0.5644400124164708,0.6996422959880613,1.0255291372460555,1.861061626645681,1.5007400120837449,0.7886938928471028,0.68030931827012,0.6480746692564726,0.6484964289861963,0.6111080816684497,0.6856380252200821,0.6694538070686901,0.6846092983941058,0.6951994068203741,0.8215232493911337,0.8538234528254742,0.8499265737754292,1.0239103502096365,1.0546409608605385,1.0922875679494082,0.8021398773382838,0.7322081424571678,0.730918020579953,0.6475533545612738,0.6610363908078812,0.6680181380020892,0.6949469823250454,0.7871368124270585,0.702186385161786,0.7274171401124758,0.7686249255783646,0.6550892213590866,0.6645835483189922,0.6849060493022054,0.7141919379064409,0.8103850721769251,0.8195760837711713,1.0014973751901464,1.444684461856845,1.073986894961646,1.4483231287072977,1.6697901619703819,1.2636213018965567,1.136329542830468,0.8910080511922897,1.0641637027059105,0.8416455997065929,0.6406885110689009,0.7114990687452294,0.6483435965623998,0.588445948016407,0.6654178854127629,0.5754833857129263,0.5650416176302376,0.6938616757844123,0.8355321114745409,0.6399918239362464,0.6654249963833881,0.9538582546982681,0.8818432204143082,0.8052634747481706,0.9711826396842456,1.1967296758744421,1.0191883297619277,1.0508912359741918,1.0123846753437502,1.0163139298520976,0.7597269530917554,0.6898668864430778,0.7958755277312433,0.7304040128624087,1.4114657038817693,0.8557418777644618,1.2908866784633635,0.8310107807396371,0.8752963751247513,0.8982828912686689,0.8081906328807458,0.7042687908849344,0.683681924787344,0.6765807902202798,0.7351598322589824,0.8090494950194901,0.6588282112344277,1.047780442113146,1.0953795060968856,1.0520825335460826,1.1620525914698083,0.7063415816498877,0.5947353641081883,0.6676604027654551,0.7840697016557382,1.0308229949357963,1.2159514019050877,1.3312073375760984,0.9785213951477882,1.0595162926602195,1.2789360945995432,1.1464998516703238,1.1016389724626794,1.3701038217404693,1.497649764840207,1.2574490460888512,1.2888981132007664,1.5442967973228223,1.6285295492902891,1.2975378390068744,1.32688959543136,1.066897901791757,1.0410320428277253,0.9816542023137841,0.8699389163052292,0.8488401243077245,0.7571390134689658,0.6894426912113659,0.6319856705226459,0.631436343460331,0.5975967361687196,0.6504754998847834,0.7773021748863522,0.7140584370913103,0.8237591843988036,0.8512355006558189,1.0418140562915599,0.974025660115852,0.920316731230026,1.2467991614727976,1.3586389170480915,1.0883369868907669,1.0462104253319402,0.80983109674103,0.680637924281502,1.070700296574055,0.8842393414144449,1.112649854720582,1.0244393306573965,0.7672853286394192,0.6533028242498791,0.6300865864459274,0.7304664419161759,0.501844937393514,0.5079597397937525,0.5101962189565848,0.8036763253924434,0.4791089596688618,0.49486947691909616,0.5591153180158724,0.4842048430973257,0.6955815303955065,0.9066639813668533,1.2236229354378747,1.2275349767302226,2.245185035571415,3.4532929922149145],[0.8823598732194438,0.6760210710237107,0.4738967960116955,0.37408051620159777,0.4220752717128997,0.368535277396056,0.3385405103343763,0.3330193009043411,0.3181251398567149,0.3316952941991869,0.3518270076165277,0.4685639469916822,0.3759413503888034,0.39604001546899653,0.5395469118839136,0.5034909004384771,0.5047732571690411,0.5856845877382421,0.68447269196116,0.6531845784444185,0.7517837736024736,0.7371607518224793,0.8867615908339638,1.0383583297095378,0.772863927722716,0.7573506005576509,0.6264540368689393,0.5253645026688981,0.5247986650655239,0.5066990400257788,0.5987859564071693,0.5385853616056386,0.6985158619945344,0.6241685979949432,0.5629761274166123,0.5623961164596589,0.5076322342674365,0.548271464688254,0.5424328659763701,0.5678129004706004,0.5879684680351783,0.6870695391741332,0.7248493673344104,0.7952943731390623,1.0820603866037304,1.6378628076077024,1.6327530892202764,0.9901601086221261,1.851425755866077,1.5291351612941921,0.8507519416165321,2.1263280765710677,1.2515083917070269,0.7476786862526473,1.5956766188916967,1.1546002134451467,1.0691509139162165,2.049299951104821,1.0785303364645205,1.1176601148122662,0.9379280659373397,0.7835984403725377,0.7887032106248638,0.8949257444889669,0.7914329317516868,0.702851949542549,0.9155087197426235,0.7285861025940508,0.8686627700034243,0.7386029323644909,0.8824069318093352,1.2450622332357755,0.916564779264262,1.0455589918603396,0.7400956096635158,1.3930321867915916,0.7004170033832291,0.6681481405603682,0.637014476166217,0.6514338177022093,0.5880229386822294,0.7452708026922299,1.009956665817994,0.5829039787870859,0.8107524715913107,0.5458179447163742,0.5798625370491205,0.5718661791498305,0.5825351034835122,0.6416645171543491,0.65487409177561,0.8932176432007561,0.7456653110341852,0.65036234166504,0.5942585413723539,0.6994399134976066,0.6492448664627,0.5892255783244166,0.5184517925467385,0.7715802696979139,0.5387699574089738,0.5493232546090752,0.4728768788974681,0.45831865885515266,0.5599485899191847,0.4900394361313355,0.5484682398086992,0.560753211219341,0.5103008490354842,0.6030751476959607,0.4066765734933603,0.37393594441279143,0.3626482075627692,0.38332834386205283,0.5127743527546098,0.44635499786482935,0.4889211333566397,0.5376739225440853,0.7931063554939085,0.6246973734266663,0.5922609296312779,0.49201406045181323,0.4591239237872962,0.42812621894781994,0.3515670819645681,0.3719191985809069,0.4544669709418545,0.3779686078312032,0.3629682106596444,0.4862701935892936,0.41186495408748464,0.3994864317707372,0.41657897619393036,0.5405545568235792,0.45018912457384247,0.5000654470185507,0.6313419396130071,0.5647338650224127,0.6253014068171382,0.6257876348704329,0.5211166660659371,0.833660732488979,0.6911243659068391,0.5328560144739009,0.5027364072343548,0.4947100503880474,0.43001780770936254,0.46006501175476133,0.40443143028559614,0.3897957681080546,0.3979398579489411,0.544393174493365,1.0193259540700117,1.8778093390391346,1.413227889447117,0.610699813053334,0.45904994250331055,0.4481760473224423,0.4369783779301254,0.4167571730559918,0.47154111814532973,0.44491019261413794,0.4735877603677831,0.4764318588632644,0.6154751875249924,0.6688451812291789,0.6713981545152824,0.9065869525010112,0.9807753235845724,0.9963109433449538,0.651133925056588,0.5471456173569094,0.5233493799214491,0.43400235830290423,0.4281365689825772,0.4473355809031693,0.48124837785440605,0.6350584783924418,0.4938601450082775,0.5208832967354972,0.6583102134127982,0.4277199953052337,0.44600168957682795,0.4607178700333414,0.4915619810182894,0.6223081475904917,0.641098460242988,0.8510224260555622,1.3472807057080627,0.9337505350564331,1.403878159919849,1.423472360532953,1.1023205908551954,1.018332163349737,0.7210426758230322,0.9262469708327578,0.7277853281386043,0.5172152063256704,0.6025284424262908,0.5564163592620865,0.5095422690843263,0.621787803522463,0.49636672321649083,0.5061305840456611,0.6970340595113971,0.8468459706024362,0.6136266375681484,0.6660024838462223,1.0254686254851453,0.9135969960086859,0.8332773751105969,1.0483753854671023,1.2797313115099447,1.045121442224973,1.1042459457915457,1.0343830993078182,1.107176191100844,0.7597020857767136,0.6955278619891734,0.8571878015537399,0.7607546074208296,1.4077742132282474,0.8767920712691756,1.4309019787047188,0.8618028614172942,0.874747040314732,0.8987037305364755,0.7730589011423358,0.6813320257402893,0.6189818881141281,0.6225931536551874,0.6534682363708266,0.7451506746213545,0.5476220363385725,0.9335502892377814,1.0162544069711354,0.9646609805252948,1.0777903689503106,0.6213930118958906,0.4839022546856073,0.5802405734427577,0.7784029019884348,1.0400618419272307,1.229412410781086,1.3282629968116149,0.9914306429567715,1.12528433284143,1.349393357262732,1.194192955105637,1.169679364428,1.4884878339356484,1.6256023831767838,1.3618828863143657,1.418674002010201,1.7036325013516134,1.7601662298085374,1.4241845694821016,1.482055195667508,1.1905657825496399,1.1543123548317893,1.0562677826272402,0.9314211026259241,0.9368939410734827,0.802334033833866,0.7108013290848555,0.6515891546231829,0.6491350644920775,0.571769125265003,0.6198262373436909,0.7801272070816436,0.6929412233394237,0.7703439016210358,0.7902328646404829,1.0303493739247827,0.9408829710322438,0.9038979593945569,1.2116532699035638,1.349270020603706,1.1381903460923453,1.0168335862885487,0.7648578595368596,0.6437000694066538,0.9857561114900038,0.8578133882558016,1.10097511029538,1.0426763374892953,0.7182723112679148,0.6082972459735694,0.546549435119119,0.6870160780947284,0.4571870032387334,0.4272372689539218,0.4446064133696775,0.7237775645842651,0.4115130313788762,0.47764574714370284,0.4946322647771478,0.39281395277889875,0.6699426656151809,0.9426926266281528,1.3358838188014255,1.3232313211772353,2.4845433136927206,3.6880198296987157],[0.7946071093924637,0.7822713128482391,0.5480408577430091,0.5224421086135119,0.590489465837392,0.5098281219836391,0.5053273589262088,0.4651539355072182,0.45336922590249046,0.4893015203503229,0.4639389813486882,0.5155459018888141,0.5169478951065308,0.5244931527738671,0.6560752096273819,0.5959445669734945,0.6190681013617803,0.686509336327128,0.7814997176975286,0.7709648164899212,0.8469392838454062,0.8610404464090589,0.972355610328955,1.1217992225636335,0.8825982346763783,0.8529650506028382,0.76725118358802,0.6741277092902279,0.6459821836886663,0.61644247926108,0.6840822626364931,0.6139885540386255,0.7204304276829029,0.6928991106530116,0.6628767214577753,0.6801135083859928,0.607177633911165,0.6848279286332478,0.6912768348440929,0.72080424281279,0.7473034033151655,0.8042801863807763,0.8263619626437401,0.9179480392076302,1.251318936154601,1.8126137126545723,1.840200143482298,1.1828897747827025,1.9857435835391277,1.760418206109102,1.0057476002058847,2.1890540401836067,1.3797364222152773,0.9358642163657152,1.631096961484942,1.2173997920332498,0.9746050464861324,2.2111022724411775,1.2162093504117995,1.3653102860406647,1.1120327283089193,0.8854027639923351,0.8556291801451857,0.9783484121290862,0.9240618066516643,0.8235795949104047,0.9790265528814663,0.827956196332355,0.9536183195626148,0.8625856053955073,0.9800920854968442,1.205245301775317,0.9654491660739574,1.0977947162103332,0.8119469203353389,1.3895581556935261,0.7875744063136597,0.7503065019103374,0.7392669885921684,0.773030754655291,0.7119519035163143,0.8741776620129363,1.0632922178157143,0.6916499542360074,0.9179106500832582,0.6701344550854265,0.7144613847870408,0.6728875234586018,0.7145862809138985,0.7152446178022525,0.7528197351343546,0.9660888163553233,0.8238168737215622,0.6952675853347355,0.6578915828135458,0.7335674174258269,0.721560021042965,0.6402366861124426,0.5784752346145248,0.7725126398326363,0.6112573183124581,0.6065930396159278,0.6240913077993409,0.5814802886289006,0.6444009039834423,0.599691311083877,0.6352146875793817,0.7232614310567824,0.6303324240781468,0.7036919117139471,0.5329815976314749,0.5192774098224423,0.5259467937793505,0.5554060332411711,0.628515179027945,0.6442981854925717,0.66310246311538,0.6612734010155256,0.8930805027871906,0.7406908606647334,0.7289070896670303,0.6799601048520718,0.6424842755315203,0.5954552565800398,0.5557760385254127,0.5773733138415549,0.5502018914617275,0.5603524648876776,0.5456831977841625,0.5990194983331331,0.6015759437739228,0.579708128375716,0.5950163214258758,0.6315763139677998,0.6066678044390164,0.6418984300127116,0.729449643585226,0.6475173198609468,0.6731703490429028,0.7975683389859545,0.6921314866781378,0.9526183294226793,0.7791414616865999,0.6958425265058473,0.6706407113829677,0.6463033211155116,0.6047350538638787,0.5994772902864227,0.5390882474637343,0.5077449969640627,0.5069981154704399,0.6158898832650263,0.9946767266503461,1.8253589758977131,1.4588698325498777,0.6527000449552408,0.5481899178396867,0.5503125615232349,0.569796727383433,0.5486688613331056,0.5944884557670471,0.5969227395854316,0.6553072075048895,0.6574351886606189,0.726493967900532,0.7641197535164713,0.840342528790892,1.12234088909887,1.1688482491236916,1.1353218331681716,0.802298665120016,0.6957446668885803,0.6715544265469781,0.5985796093761397,0.5949984346198521,0.5944374211919146,0.6270655587626285,0.717787432991779,0.6334989409098373,0.6257094743101118,0.8489027289323179,0.5962226483059231,0.6230713925959492,0.6392671007848053,0.6556826577137662,0.7844726129790174,0.8290879959481249,0.9671380830805826,1.4701107128686624,1.121930918034981,1.5231126603797598,1.5350724793874109,1.2237866302624603,1.0682856993325258,0.8634166879714196,1.1751625450831131,0.8613788697376987,0.738068272291547,0.792742660263279,0.710525419933652,0.650243660804835,0.6821045551122754,0.6156160726966009,0.6411547702392951,0.7570331391243388,0.9166670991146589,0.7477474107405623,0.7803773016960089,1.068232986668837,1.0450337042963533,0.9827885293766104,1.1611913965284726,1.408437381536723,1.2495924360063302,1.305820976067529,1.2098162974744675,1.214248172352893,0.8830444704464367,0.8175386383410116,0.9451808759707675,0.8355413120212145,1.3435302118530372,0.953786330562064,1.3971603236715748,0.8819564495872916,0.8653865688630669,0.8760332308637409,0.7881402277944534,0.765421303231685,0.7447878832026417,0.7284414475818102,0.8135814475774977,0.8883265470320221,0.7698000752410088,1.164209484453668,1.2896653788178858,1.1759632975494994,1.2939121218608332,0.8226091713833839,0.634324428283267,0.6944824083322376,0.8021489371906826,0.9787959755599389,1.1236990190723524,1.238800493544784,0.9517144269074875,1.0517489853398643,1.2381997599875543,1.131985377061861,1.1210545632705968,1.4012658294053701,1.5567088254622568,1.3631434819229378,1.392586506602332,1.6686801646375573,1.7955004130027143,1.4557341471968201,1.4718798239411874,1.1998075991372248,1.1293232399390194,1.0237498520200372,0.907825186222872,0.9391365626188032,0.8555259305635236,0.761082987200459,0.734560681139408,0.7510666820960084,0.6990134202600812,0.7629406952798963,0.921662295543804,0.8155763043691291,0.9316827989787432,0.9669506596059834,1.151822471932713,1.0685847008471978,1.003867635396885,1.3560294574416043,1.424184949243777,1.2063688699865753,1.0891539549370597,0.8596434988321352,0.8026359111068745,1.024184846406269,0.8953520412730476,1.1592424524491036,1.10807761030678,0.8217699619562134,0.7013511616907437,0.6937683183329588,0.774666744212091,0.5986160541549803,0.542784473555145,0.5492743064682115,0.8113335020421829,0.5401206198375342,0.5784324458618645,0.5585593052971453,0.5059741977745575,0.6712230794345972,0.851607463647746,1.1407790214306013,1.2077613469425834,2.0970515927515754,3.2256946579073764],[0.8946359354682978,0.7168731604719747,0.46436257242013723,0.38687218047967964,0.4276284292302694,0.3544321420585646,0.30225094735455227,0.32400658474794636,0.3376820465842368,0.3191096604690981,0.3352992688900776,0.40746539252532415,0.34987868289146007,0.3770395398639586,0.511002437008393,0.4563941997149156,0.47061641533012327,0.5463577116272946,0.629832612212729,0.5921281642516426,0.6852370047767791,0.6809290420988873,0.8283771825921263,0.9484440359659376,0.7359699949235978,0.68936489016257,0.5614229722654961,0.47072187092382867,0.4728711108242361,0.4571174218695175,0.5778756663190386,0.4864599582361883,0.6654914436100976,0.5992381245600786,0.5355327108830142,0.5277732880700315,0.44900000759212727,0.4988915683163692,0.47282174504271135,0.4994594021227526,0.5387225517000434,0.6337365064686962,0.659477442036905,0.7714455001529444,1.1609474371022777,1.7082593002827269,1.7803122976786725,1.0260522404679147,2.00837483418851,1.7607847039201234,0.8630100769818009,2.121605646168968,1.1871675579051506,0.742967447549066,1.5699284769231598,1.0760483394243239,0.9373181784358562,2.039426535423305,1.0777497823238622,1.1550837696438818,0.9246082659606579,0.7428886362534635,0.7368409533648537,0.8531508255835579,0.752481189129698,0.6635781213752734,0.8707540862766572,0.6911082114378918,0.8478614855602374,0.7337179597118806,0.8843638705316278,1.1873714202762733,0.8957353641586434,1.019365441287816,0.7049210605708152,1.3622214933342363,0.6506816233385988,0.6368098364265407,0.5964156517029701,0.6373290801386227,0.5350415134750867,0.7001562406903821,1.0047110216416753,0.4972463824886703,0.7362645125821929,0.4867747245809162,0.5227019198916018,0.5176936469666482,0.552662672833003,0.6255836516720071,0.6416965380461895,0.8847817883309745,0.7489628858280146,0.6426786335650203,0.5885265950120034,0.6953293472852314,0.6510619736509723,0.5595029823923513,0.4732178544303783,0.7187999786427564,0.4721372847934397,0.491433462117264,0.4314787478418685,0.42575166608174075,0.4906182074430691,0.4604534236567848,0.5475164365684574,0.5623144691381158,0.5069700070842981,0.5931037900870095,0.36464650224515205,0.3239572481269112,0.3204344292603204,0.33479644815657433,0.443279602939723,0.4104235727623925,0.43758751457034695,0.46690986662968165,0.7336948850743209,0.5811603887409,0.5575294129416514,0.47226474845734157,0.44253073089754935,0.36877772463485364,0.32408629474186806,0.35302185077298975,0.3900933724820199,0.36522012426581946,0.32808632319301195,0.4289302187263774,0.38401852859567964,0.3856756834453141,0.40357448858191264,0.4824980112991415,0.42737018174458463,0.49517437745663895,0.623355786766295,0.510009712675347,0.5324919591333237,0.6450987401733068,0.5249703618134869,0.7859314581301269,0.5914135090458108,0.4715643267917382,0.4525368278279939,0.46186990324138355,0.39108910802070007,0.4221372357478981,0.34905417340259887,0.36788935934699624,0.39460567948316755,0.5199909591584916,1.0110581455755527,1.790113099998942,1.3174615435659167,0.5258421059612229,0.4006944751208852,0.39394172670209227,0.3786698074683554,0.37686488232255333,0.4077156696029822,0.38894598640931105,0.45491846487702503,0.42146758653349997,0.5560456185552934,0.6298657011336262,0.6904218990239518,1.0272031287391252,1.1128304768786441,1.0757397973537575,0.703766128397011,0.5631466220878157,0.4929247939402409,0.3939080157381519,0.3829416321677407,0.3898646805122492,0.4244920435861224,0.5815869432701626,0.4383980926312586,0.43714676985949275,0.7126620294090723,0.38712660163628926,0.4144727644236452,0.4321075249914307,0.4706088585658022,0.5913762591871086,0.6171559809625731,0.7928785151261877,1.373334699631246,0.967315622061543,1.3729997804329581,1.3590965000313477,1.1096376205102765,1.0225078279916608,0.7133453278677918,0.9580608001277101,0.6788951960720409,0.5243146360239264,0.6106547869480149,0.5273718747411591,0.49902554949894845,0.6192220493872516,0.49233992628634055,0.5195562758741449,0.7361857438836633,0.9085307367653528,0.6573221830363918,0.7315511925667811,1.1240096914610886,1.039374640243988,0.9451162196137751,1.1947057358805426,1.458898724489241,1.20727511945571,1.2768399366849357,1.1546358521795619,1.2641062147135567,0.8359601204657476,0.7864874712801286,0.979297778446928,0.8629175747585854,1.3802843236610567,1.0128746687525987,1.5114118828952376,0.9209986826656348,0.8838660861669826,0.8773874527097042,0.7344738755954721,0.6884870864022862,0.6131162024078475,0.6098132219083431,0.677839724428721,0.8035062309320667,0.5911552605941932,0.926100264536254,1.136622289014473,1.031038363610639,1.113209914463631,0.6421664615298778,0.4754282712533002,0.5677876060579878,0.7371501088989633,1.0145274605185743,1.1824588113981978,1.3091540662514907,0.9937763609892631,1.1443999729572971,1.3537715775324235,1.217367059011414,1.2112845597627553,1.5526857090185524,1.708151441798386,1.4691384102483285,1.5214764025028278,1.822411664857787,1.907102179163092,1.5664078956346634,1.6130130090059247,1.3083423719365108,1.2463516300137596,1.113450017935037,0.9769689926001504,1.0169594687214818,0.8712660560389889,0.7521351575086741,0.7095994143817843,0.7145921089884788,0.597852517358083,0.6487795241285521,0.8607673284857259,0.7327649858176348,0.8171295181793525,0.837220397148144,1.1038229633435381,0.9871356365268279,0.9453644997005961,1.2686193207833165,1.3561219779869478,1.1608890272344667,1.004123934701187,0.7673548114660826,0.6867103060021745,0.9121113509178199,0.8334394732369275,1.1197850129367741,1.076595882904997,0.7474303221361259,0.6109137865359378,0.5421080784529759,0.6722007775921022,0.468741215130087,0.39098930639251506,0.4379401287617663,0.6678449719097707,0.4083215620517593,0.47233846764721954,0.49021075799303016,0.3758777284840576,0.6224891203289543,0.8208482427698603,1.263693818858184,1.2989242425756644,2.3896449676355953,3.503800606786997],[0.7270902703160386,0.7165805299989138,0.48576095768434874,0.41878602762467826,0.48869673271195907,0.39650112291488476,0.3669948954948561,0.372924172081287,0.42090484745679885,0.38140184482227557,0.3977128485566293,0.43089190357458257,0.3954509172052688,0.4273741219553575,0.5845517011334797,0.5016124863441502,0.5130099840053065,0.5676094640466535,0.6567471166421678,0.6133031936285084,0.7240303188600428,0.7411276140686313,0.8624740004775111,0.9982093078180712,0.7955921810473765,0.7389009380947803,0.6150908015794778,0.517795224470248,0.5067256143253644,0.4904779514975985,0.5989581483539318,0.5160993663846195,0.6247264392940921,0.6041769221047895,0.5592489810192225,0.5621981967073724,0.4923550179310859,0.5535042621481251,0.5257333410469731,0.5550660161546374,0.5819673837570012,0.6463813555827745,0.649922335218661,0.8043888201335114,1.2221103766961074,1.8029072581841197,1.8899959576456902,1.1019335231139256,2.1612370071863563,2.016729859011639,1.0044003756726403,2.191616533288164,1.1988305749472985,0.7969999582318423,1.5206143698069594,1.0580322311373649,0.8161849178028954,2.114860196841757,1.154102735102038,1.3079920306082813,1.0325843246875306,0.8138241776465672,0.7669962905114678,0.8895684385836596,0.8189197283549866,0.7054232053396312,0.8596901608106401,0.6794711930441397,0.8423853422225536,0.7787112673891692,0.8705790354105648,1.1399218912653397,0.8975003060533365,1.013036185544798,0.7319865132464738,1.298875067787592,0.6639910308460036,0.6416505245624093,0.6254747181882439,0.677351541989816,0.5649792427726821,0.7358028702745173,0.9871429223763503,0.5480820312124619,0.7846173334679842,0.5269792305493685,0.5778750669205368,0.5300192144885245,0.5896408059031286,0.640326709317367,0.6663972263503344,0.8979471497691982,0.7662033767143956,0.6185719413228805,0.5815140931431855,0.688079237237779,0.6335552014703978,0.5443468155783909,0.4672600779205173,0.685051550447832,0.47779397765167425,0.5291013914526842,0.4807363461774684,0.4723289715331059,0.5366786531247509,0.5470046197823576,0.5828242011506032,0.6192546022677134,0.521516737693546,0.6392893517683246,0.43913985482094203,0.38220046499385557,0.3676774442166072,0.39705878526530786,0.46967504685102507,0.5133490254507582,0.4930888722688144,0.5578819392550822,0.7980098498304332,0.5952089922363731,0.6041731790540301,0.5132171690047073,0.512183563168831,0.4403840307730217,0.407898224817384,0.43658017809617783,0.4346820809433753,0.43824174486601897,0.4245346009526618,0.5011203822456405,0.49283160836800904,0.48540783544683663,0.5192795904597519,0.5455119709244388,0.5320538576498166,0.5910681726890065,0.7023629119245618,0.5967925451019332,0.5881839333961837,0.77131556215903,0.6180523454820912,0.8505297287527853,0.6378839730858265,0.5392552009093964,0.52628392734893,0.529945817155143,0.4738927374758485,0.4887610906617988,0.4164125572041641,0.40087087299093194,0.4451736095090258,0.5702062891404479,0.9893318639134935,1.6729316250571462,1.3123688518525365,0.5365760191404398,0.43712848804595844,0.4370536392225791,0.43129207302799244,0.44127094927163824,0.48614087645555204,0.4559302238347325,0.5303251626353137,0.4956142875283446,0.6132317907880401,0.7028227121882468,0.8066875978317756,1.1794986051516956,1.2504150713413291,1.161760129057577,0.804508062004702,0.6616725844953114,0.5834109005728054,0.4785598906234375,0.4467938881038574,0.4486155750062043,0.4838365836966018,0.5746651053565358,0.49416508661936104,0.4759300935654793,0.7984953081943379,0.48982063427075617,0.528863208601987,0.5390066084729751,0.5808930925465565,0.6543975466132987,0.6778487580914987,0.8416866845638789,1.4757698316180272,1.1089069180220925,1.4169436933622426,1.4100586798023775,1.2362085544988137,1.1036416927749604,0.8265767760296446,1.1132274645041942,0.73624866496544,0.632898293415414,0.7228302030780878,0.6411318191789068,0.5952389431966415,0.6527984555706338,0.5730795041298052,0.6135141021943507,0.7804027285026898,0.9727892183205777,0.7661493553420002,0.8254950388555459,1.159158218352043,1.165530136340163,1.077193761365337,1.2967129243392164,1.5802213477938347,1.4177295400783976,1.4643417634640008,1.3380951222184765,1.3596023339906431,0.9310402037116242,0.87459421450437,1.0428997989344613,0.9183721935760977,1.3553963922220515,1.0295421446916557,1.4317311188426305,0.9238933327998035,0.8656727801409054,0.8557732012552031,0.750510646259652,0.7554976745901529,0.702646983570195,0.6856779915029282,0.7983893585385086,0.8968851860077174,0.7350429099277039,1.060172200494606,1.3221581891525092,1.1822688229983205,1.2613783685835465,0.7742894294360635,0.5777586730821856,0.6543517320738063,0.725365256009374,0.9395830655262014,1.0520743884709078,1.2053833464286208,0.9397280696522126,1.0748638552261853,1.2544306418223903,1.165254027171741,1.1674595008228241,1.4763911138069243,1.6503498976571822,1.4626546424387197,1.4872311116357537,1.766478518487192,1.9094344451864567,1.57734739024552,1.5832065458298792,1.3109575028773344,1.2132924118243906,1.0869389215559366,0.9551895304756289,1.0138250033611633,0.9145995367798484,0.7944677383896309,0.778367576733178,0.7983611587223399,0.7034726128376534,0.774294811403961,0.9667614732115478,0.8370371657755253,0.9508217692475545,0.9599917724386499,1.1776114491255336,1.056788691386593,0.9780770771649347,1.3355478308618738,1.3717722623969748,1.1669553536726849,1.0336313806998747,0.8587692886053387,0.8621444547663281,0.9433877410660164,0.846009389320161,1.1307181036167535,1.0916050953123067,0.8131574220189997,0.667322900226918,0.6288822410658029,0.7201436842287627,0.5097065001770323,0.44380844776526995,0.4587839800623684,0.7198645249776175,0.45892693190512307,0.4909148460260711,0.5032908439642896,0.3998815055495262,0.5841242198773335,0.7105362300802276,0.9680108272016728,1.1920122884806805,1.9119712266640838,3.021815300723948],[0.97855556265864,0.6303236735733473,0.7432712545926733,0.5818207881034704,0.7108688227181491,0.6229797230577029,0.5361352985191669,0.4984976066020621,0.5045116086394714,0.4468852096703192,0.42691563641024394,0.4658087070190951,0.44455806001551085,0.4464343345887361,0.583047081235412,0.5131802760605989,0.5258060524710708,0.5826407017376307,0.7001998220801093,0.6569950571830361,0.7530941626514013,0.7831128975019788,0.9263455611105792,1.029537510752428,0.8756130645821529,0.7964768792773371,0.6429734739826753,0.5532121187813592,0.5344932874532291,0.4963186856568029,0.6003843711972536,0.5476102111897475,0.5868914554315922,0.6037148279815472,0.554493273285247,0.5730360920273381,0.5173107600792478,0.5831087853123194,0.5821911994673419,0.6193252091676144,0.6255644165384163,0.664739626693602,0.6634887718313734,0.8285271035167787,1.266196767559972,1.8792316906818256,1.995349190568571,1.1183791584670948,2.3135657873857056,2.2673855339898816,1.1445800692713701,2.2655321357232476,1.1314905563343396,0.7891561841237004,1.5075120477011221,1.0029647157858528,0.8118124120500594,2.0756252375395485,1.16757296037684,1.3359647330843007,1.044632614741587,0.8283871715630458,0.769260465628411,0.8971950538818102,0.8471645462274026,0.7151347439676653,0.8847195448608347,0.7031330398525492,0.8736493698436437,0.7867561376690695,0.9233842351943103,1.1817684409170255,0.9177393244126707,1.0401636262844582,0.7471340726373448,1.288073345280117,0.6729990557582649,0.6430801006040624,0.6277665990775788,0.6535066993056075,0.5794025364847807,0.7528775063655391,1.016447996855619,0.6091045141091426,0.8521655553117516,0.5678442169604915,0.6000549930228083,0.550625759978304,0.602683437946127,0.6493135063474288,0.6729046350904544,0.8602422107048494,0.7525943086598633,0.6220951895025385,0.5904446229682389,0.6944759720935326,0.6609351930105708,0.5665488063399922,0.5048365252632736,0.694301962517179,0.5334606833785713,0.581576979675577,0.5262403883719515,0.5741061822993502,0.6497056913204734,0.64220698650384,0.713794396096182,0.708780202112391,0.6764620087814566,0.7883072467187116,0.627405910753812,0.5341182829652429,0.5225679238514371,0.5057771742066834,0.5524308096859808,0.5710765647661402,0.5375354853566204,0.6328526841519665,0.8548191519643149,0.6131452243476405,0.6298724490079953,0.5502640438668589,0.5381095296736188,0.5101255394883766,0.5165053251622548,0.5520323028944373,0.6066897621518333,0.595958780232742,0.6375171185164159,0.6942989881382141,0.6753263734807646,0.6838097865916642,0.6866645589861498,0.7123476712463651,0.6948290972049636,0.7598410339084292,0.8946021910100921,0.7179201333834825,0.6559807286644626,0.856043648799975,0.6752068072272281,0.8615082090975655,0.6724532253290452,0.5976032235577347,0.5854172624195456,0.583619588292259,0.5321405995862121,0.5475285400995993,0.4959841305299637,0.49365484325896836,0.5275485758618553,0.6191213721840524,1.0802824857887374,1.6419166823430782,1.282232617153887,0.5799176217510357,0.48527861204183964,0.5306588073753445,0.4906272923500139,0.534885468768044,0.5639244925873005,0.5289101881671233,0.6056257293724424,0.5882499360671128,0.733050253800804,0.7538329815747838,0.8881736038171753,1.2816911947586898,1.3844727934839758,1.2341441705833658,0.9219348237790762,0.8012233631952863,0.7266129170928124,0.5901102707467903,0.5149590418316494,0.5147740135604384,0.5201760627664047,0.6107300197092859,0.5424986544463419,0.5876375371435074,0.7750229859568337,0.6334200537597351,0.6725732175158107,0.6439238398950244,0.690934871325304,0.7249386917042141,0.7571010095074232,0.9256830971140438,1.6185398625874277,1.232505470891782,1.4263484133249835,1.4590164755637351,1.327399126576934,1.208089075485287,0.9380964198747066,1.2051522483509538,0.8395346555635232,0.7601678882407982,0.8821001668403778,0.8344466698689501,0.9018064297076943,0.9955525079369284,0.8938244874015304,0.9374582148455314,1.146640955029268,1.3309974015900214,1.115769171616799,1.2011199796498375,1.5562766407071003,1.559932902866089,1.4809505356149437,1.734293570621324,2.020084934726324,1.8750623945853544,1.9045463815164467,1.7438943190590634,1.780749599722552,1.2668884049801699,1.2282779670139756,1.4479961349244486,1.3194235408506363,1.6745613173272593,1.413693357581605,1.686935262640981,1.2957690806550588,1.235984569313673,1.2107737381670713,1.0349263639883806,1.1050486193320395,1.016037915385802,0.9445977297815988,0.997531955753156,1.0971409453954324,0.9299840924377057,1.1905478982571103,1.477857055691094,1.2893329334250105,1.3590424681358682,0.941650173021659,0.7764743069494142,0.9124987295955538,1.0501948160800059,1.2209384159317682,1.3693039182666153,1.4612200653086638,1.260133344460624,1.4481426401697088,1.555382569299264,1.4728372280522233,1.5321532888532543,1.8506854740160996,2.010632610485364,1.8549372785376694,1.89803799071378,2.178004965498783,2.300541161844359,2.0097864358873614,2.0232460276743045,1.7395813354440426,1.647657393995135,1.4908022951719557,1.35307363377402,1.4361641516183754,1.3141984398568958,1.1692265819959002,1.1586268089465517,1.1776696656446235,1.019641395884466,1.0752813836927864,1.2366664196077772,1.1052389767236617,1.125414963910119,1.1738844623076816,1.3798081393063566,1.2516724907485308,1.160241468955631,1.4257533285716866,1.4143461364828949,1.320438685599583,1.1749808707483211,1.1330224828190258,1.2302049915615443,1.1006374991926853,1.0640069944277144,1.2008119992150919,1.2650860896149616,1.0525080569280305,0.8951552905173774,0.8225864792337898,0.9389674141649839,0.6947049171852024,0.668328182734118,0.6836530306767775,0.7187715809846771,0.6626492944494199,0.6678413748101977,0.7010341354677669,0.5854603615283779,0.7182227676302513,0.7706875988746039,0.8501328929826321,1.3047905917725244,1.8037808862292988,2.945908107819049],[0.7165588735310731,0.6874396626431934,0.5548287921403724,0.4497989953481822,0.5911481234376527,0.4956825179386542,0.44860461052221134,0.4279129822027105,0.47625568022220527,0.42706658794007873,0.4194055979210772,0.46084626685651287,0.4250592762907854,0.43123163250900226,0.5767916986492279,0.48483741128765406,0.5024229987333353,0.5376634767614774,0.6165018126981976,0.5970301907371942,0.6874045207747939,0.7276368599489712,0.8432055069820648,0.9482835953968674,0.8162793642032569,0.714508868509474,0.5761971085794068,0.5052500667866001,0.49932334382825755,0.47235570241917685,0.5765210987503107,0.5096304093112765,0.5982675559354458,0.5673564717023784,0.5299953194858295,0.5366791646453511,0.4834250574356935,0.5350277884921609,0.5390964870156058,0.5806563115170853,0.5797999871573807,0.6187413484153829,0.617193738267572,0.8052019567364277,1.2306998256591268,1.845755879438297,1.9848929765557615,1.0857197217367323,2.3898853417359263,2.377475083861495,1.2107517153595382,2.235904098795451,1.0588006642307404,0.7790976803796792,1.4730936494313058,0.9184176765524822,0.7199110829609767,2.0644555311192336,1.166651286059004,1.315333491747823,1.017255941654689,0.7788221067859936,0.7053263315358678,0.8290201394545937,0.7888865302109572,0.6751632436089697,0.8202635851729638,0.6398854395986098,0.7927291729556277,0.7280731717096284,0.8392207846279722,1.070301946873962,0.8378976353378053,0.9468170881738041,0.6811693970214389,1.260477229275939,0.6159505413313635,0.5878958719079634,0.5685665989163204,0.6127965695804937,0.5423572907345835,0.7287335617728636,1.0099828159076885,0.5941027987048484,0.8372650106721107,0.5369067623776577,0.5430981750778281,0.5194514718012402,0.5567551902527077,0.5873992849621162,0.6328791513738565,0.8804410054975874,0.7324426677666598,0.5898327207661316,0.5610826265059181,0.6594711368862046,0.640306660753239,0.5488104997410193,0.49607321552677486,0.7077007015970349,0.5203117310449579,0.5732480556099884,0.48995760950429856,0.542544854214771,0.6083830125981687,0.5816800517422431,0.6222740126854164,0.6737813029462189,0.5853660349783751,0.6992918588563001,0.5324809840895133,0.472279211894919,0.4520909984829005,0.45204910384959385,0.4991088624767227,0.53427458681952,0.4893927903969961,0.5794833326917594,0.7464408087663716,0.5401031803713098,0.5577402993892797,0.4852252576068243,0.490166173208334,0.4573464598290251,0.4659524700943295,0.48392726135900094,0.5044593710581364,0.5231423121718696,0.5523319271284031,0.6167718864166007,0.5684137481713721,0.5842194427755587,0.606867323554678,0.6353677401430431,0.6216100593970061,0.7024000268898809,0.8162450308718799,0.6562030527242091,0.6173424247194239,0.8323058963116438,0.6366941867451533,0.7990988349433858,0.6241832208212481,0.5492018609609863,0.5378938728196735,0.547711703338587,0.4995007691343703,0.4982453650904653,0.45301871242517344,0.4610465087577038,0.47881932957897655,0.5810270014297468,0.9957544929144085,1.5808401234443845,1.314871231092338,0.5726854412058868,0.4680797638609766,0.4950790635299385,0.45630299945689745,0.48172739637408213,0.5307001678209643,0.5058665828153674,0.5722028130685608,0.563078644697793,0.6936985242739722,0.7311009327707197,0.8949872148049243,1.3101606254454405,1.3832145076998899,1.2373521660278126,0.8997369172434658,0.7606095787839169,0.6888027235767874,0.5572671186803523,0.49143704914554226,0.48939684286822,0.4858869834681223,0.5802118760460666,0.532396468479041,0.5561151491494902,0.7931719675221732,0.5903651455058981,0.6365434103103461,0.6207631414174772,0.658089673471736,0.6862036830843332,0.7106033480933496,0.9024224251763381,1.5820539898703387,1.213493768912757,1.4130285325596899,1.4162219219579795,1.295016360875776,1.178838928135852,0.8894024162285091,1.1505329594679663,0.7315830074556132,0.6628707994062906,0.7748913400597447,0.7224786386495039,0.7393553711639987,0.8236936295666379,0.7413343928270011,0.7752677127527356,0.9516881251232923,1.1586970670531074,0.9611916495886492,1.0118166994749087,1.3339022966514975,1.3864755162809428,1.3008302871452146,1.5076573063215037,1.8004656641341532,1.7096089406245356,1.7116875507123672,1.5734024602370622,1.5376392472332967,1.0668574873871723,1.0240568237579823,1.2070479756159394,1.0697913161098145,1.4433833568000676,1.162871658339072,1.4661112844840487,1.0519615582398376,0.9864377256191175,0.9762655375146448,0.849170073690964,0.9019188173762661,0.8315166048405783,0.7903721159726763,0.8752926448915664,0.9566227316559942,0.8080992511874746,1.115108612643065,1.394862470439208,1.1978429063984197,1.2693375566467258,0.8307946129453215,0.65298932530211,0.7657365546401561,0.8584603807147866,1.0611280508622931,1.1463701914988131,1.2754062701543922,1.0774351848790613,1.202678442004447,1.3191209961086243,1.2714868085531963,1.3077910968452655,1.5846657230151273,1.7531942334794586,1.6170691942639879,1.6268249991377892,1.8817871137515818,2.0403890495154933,1.736383898076068,1.7213360879163926,1.4644838054714007,1.363659424882481,1.2391018842875745,1.0915411726129367,1.1669769253715314,1.0804485825056591,0.9339513623269949,0.9225244841569893,0.9457501453059499,0.8283066462782052,0.8973502139674703,1.0653205986707117,0.9351979932029303,1.0132819340671708,1.0501713454781596,1.2692153831849635,1.1300597251307052,1.0335356110610805,1.3668894105273501,1.35407210454375,1.1967600344522789,1.0778602303515954,0.9836884704356073,1.090669507068642,0.9994808498490801,0.9180130267860914,1.1201297225872313,1.1435002497540727,0.917712100039459,0.767936217225079,0.7082110045946576,0.8415270988657878,0.5593215695632657,0.5277127778150573,0.5363453942971768,0.6767769481767332,0.5414321713821545,0.5288400188992559,0.5595975268119897,0.45535377279443223,0.5907092618282147,0.6653188824250782,0.7422974468295759,1.3425402860770463,1.5629373096519483,2.6722288271493744],[0.8086574554241143,0.7734324124746026,0.5156554719580547,0.4457794607665791,0.6171609122694102,0.5098273418471768,0.47938526978252655,0.462338275989924,0.5146134404538658,0.5170406137933194,0.502129273018654,0.5401863402596049,0.5395086123753039,0.5647770097201108,0.6947557334322307,0.5983414069113169,0.6879758486398465,0.7453890304032186,0.8623472303535111,0.8358374076405497,0.9256504214161742,0.9663008835863173,1.0760641738256294,1.1763650894071602,1.0290871252486198,0.9461358053584493,0.8441100186953434,0.7530539524013828,0.7069833923846769,0.6389808272229708,0.7282355713141463,0.6125853414825394,0.6959050841566427,0.6914598553450763,0.6854124537883752,0.7296473676125464,0.6500752765341362,0.7575815524841989,0.7754362057557398,0.8213146895255191,0.8537854540810996,0.8768257454034001,0.8841213166033344,1.0432664239699636,1.4617265734976228,1.991109611339932,2.1825229005238547,1.3579269959814941,2.4661798388521983,2.519520621375517,1.4429075861811764,2.2869983586055986,1.2381391630531144,1.0588532450426165,1.5908005195373407,1.05952430766044,0.8779431996664427,2.260729518679145,1.3933227762670337,1.5460460487044925,1.2540437588091025,1.0199160993170966,0.9304914929752636,1.0745077475716653,1.0482415330660992,0.9204676357502953,1.0096295822913743,0.8607954139621622,0.9681986842833956,0.9393926753451681,1.0062890982812476,1.2061235506126762,1.018054020430334,1.1067654068909034,0.8680113312669282,1.3815114582292165,0.8557357946362657,0.7948111115738109,0.7845878727480864,0.8370293443990462,0.7313149733556381,0.9138835045566128,1.0960341109028413,0.7726597154483041,0.9877956607800429,0.7248137213361305,0.758968654309278,0.681351405580526,0.7822801594802306,0.7489769718058362,0.8104392191438825,1.0435983848305495,0.8789196974439786,0.7016721875134598,0.6665365302172025,0.7515966910950769,0.7345597172640261,0.6220512769210609,0.5562087479835723,0.7305441220773485,0.5796369485965719,0.5832244287179693,0.5759719731093593,0.6042633380974973,0.7081110493314746,0.6488588080808994,0.6863728928056456,0.7493853914926775,0.6446699481966068,0.7236882661460327,0.5699788616869953,0.5578103568747648,0.5159591900907049,0.5743623891815607,0.6446567793090405,0.7340968086829698,0.7163474629512943,0.8240129516232546,0.9866922415929633,0.7593225532244221,0.785682041449147,0.6774954871256231,0.7105070883298781,0.627063172499818,0.5740413311100107,0.6095507367883989,0.5608017569146022,0.6171996342335513,0.6335908018646346,0.6877040541902514,0.6886630167822371,0.6958343787885289,0.7603310644180716,0.7498513927946,0.7553910693204265,0.8134360845203618,0.8914546832013427,0.7776611429306102,0.8157026818258226,1.025169765553903,0.913189066595416,1.0118674011725446,0.8679652130426149,0.7969714352789073,0.7880090622643845,0.7621942584615549,0.7089434994392534,0.6499899165119929,0.5637501073040774,0.5166883742321122,0.507936213320449,0.5735583041004064,0.9580678669683059,1.5203588373581611,1.298260554137288,0.5774747368930796,0.5084869652074239,0.5259472685915271,0.5337870103189195,0.5634018697060064,0.659966836011911,0.6936869910039247,0.7757737029417625,0.781661321358381,0.8853756266306367,0.9556956774661566,1.108981158176108,1.5104268803965144,1.5428100035092722,1.3580832784889496,1.0321921272448211,0.9049176386900317,0.8519394676534526,0.7289932070952424,0.6576557809357123,0.6213659942577968,0.6097929594977498,0.6721091196326593,0.6912165009701106,0.695705414164528,0.9752441010852616,0.7236215274488147,0.8088148747569585,0.8334686092931841,0.8532975760983206,0.9208940206052624,0.9405533231165338,1.1478047899558879,1.7404752044498757,1.3780151361797603,1.5460803308212094,1.5084721152561562,1.4321599805341114,1.2954345479743348,1.071938574880308,1.3342263549002342,0.8810733392502939,0.8185401805982728,0.8748247200646277,0.7981801567020971,0.7659064995444363,0.7951906900180686,0.742356272431748,0.7801479392456427,0.9058533700502296,1.110964829989821,0.9612823848374717,1.0051637090793826,1.2935405354280916,1.3958842365262216,1.3428037007819194,1.541580233050485,1.82480069050389,1.828567796219202,1.8330322532083823,1.682015351430366,1.609482556298756,1.1046400669042529,1.0310923718998697,1.208078232285564,1.089979725253691,1.471946334310426,1.1815903178045455,1.390992275590569,1.0200443027997361,0.9403382640058301,0.9332420497381134,0.8821191923868356,0.9337075029401494,0.8694712217394792,0.8613932405623335,1.009128865684705,1.0585408832895615,0.9583185536592983,1.3256404353950917,1.5907670571066812,1.3396541254563763,1.4340826730932827,0.9314347799051284,0.7375266096787002,0.8309655377534755,0.8199760564742455,0.981065167656032,1.0205461265170066,1.189282582337623,1.0067749575654203,1.0958670535671982,1.201693869223668,1.1767881021253315,1.2073376634477466,1.4787985574659186,1.652597691401367,1.5420334452815854,1.554634222035341,1.80733893613302,1.9891960403166733,1.7031002996690694,1.6744986418217447,1.4251885727322189,1.2999872821641536,1.1586667565425088,1.0228519878384605,1.1200502853592267,1.0457639632301559,0.8977261866947861,0.9163721172376024,0.9430897703215052,0.8449111152225984,0.9662292156674677,1.1391795523904027,0.9842688892375666,1.1176356910110645,1.1663454736912413,1.327891157774592,1.1912034725142697,1.0589929945811056,1.434358223874183,1.3556611258196605,1.177414312461879,1.0411228044623464,0.9581676085618439,1.1406916377832002,0.9809857585482836,0.9100572149266152,1.0925022173989087,1.1530219214874808,0.9560327036106443,0.7896445634692284,0.7659815946412644,0.8140912274433836,0.568497710173604,0.5374177979249847,0.5451541290488241,0.7025202139135076,0.5594300789440334,0.5639915375093721,0.6131751674262391,0.47070173688149775,0.6117380302781358,0.7145086842535358,0.6937422350111989,1.3824515309058467,1.4793062690022212,2.5274478223151213],[0.8375980213671774,0.7653555958089465,0.565842854946829,0.45253015601397256,0.6034217863331577,0.46362346317267056,0.4203917957026107,0.40112605953445946,0.4077777446569477,0.3321914676201333,0.32023656172474835,0.40682795578136505,0.35716460565241803,0.35657108203359805,0.4907621914828313,0.3883314811075112,0.46882337339597085,0.4947828583426821,0.6029910846903753,0.5642247275929752,0.6919359683755862,0.7321464518447228,0.8583945889812815,0.95218902688224,0.8729145232437351,0.722515360827646,0.566763408943815,0.5204622279410431,0.48500775838764953,0.40976237639718244,0.4744180000414492,0.408002758520649,0.4681699120132926,0.4863875185693646,0.46096259956723906,0.49043902089736474,0.4249134396240756,0.539657568485029,0.5660989020470978,0.6155941693035135,0.6309906816870533,0.6095326143159917,0.6001359213262181,0.8199972170574762,1.274337302639349,1.8718207770988087,2.1105040652239637,1.1705382515280816,2.5459631336869477,2.7037158065178883,1.4881737659852905,2.2438381057203025,1.1064971645321393,0.8669992931481988,1.4495262616235882,0.9478791593869805,0.7301082519084421,2.0380241314649647,1.2256508076308625,1.4358121128883,1.077177920585161,0.8115429112085452,0.6884247628743967,0.8273821394091172,0.8137856160284765,0.6923945672589287,0.7990671233382187,0.6155166668054582,0.8006731559016746,0.7195099903909928,0.8438212166703518,1.0650622413943558,0.8221146674683547,0.9576269551132237,0.6459603298244889,1.200268196429274,0.5948655223540192,0.5269642804124631,0.5335449232472439,0.6297032642491877,0.5324952431216872,0.7132727864920673,0.9839173087143234,0.6078994009757255,0.785188353236069,0.5183267792586881,0.5405584550397408,0.4997131212210372,0.5255642350312719,0.5426078307675631,0.5783422062421695,0.7991809882196349,0.6556634218665032,0.47891077269398785,0.44817610471098057,0.5605630062451044,0.5636518188305264,0.43223495166253495,0.3814712596738438,0.5957005624933229,0.39639541499718906,0.5229458560793788,0.4260502572670761,0.49051312844862677,0.6326066133702627,0.581772090786383,0.6642142842378806,0.7918289878560897,0.6725986300712993,0.6698600988499279,0.5322516785272041,0.4753358727602808,0.44196491776037844,0.42421026108502174,0.45387923252344387,0.4944275951941994,0.47885150134374915,0.621797773258924,0.761541480172905,0.5141920076021406,0.548092237756546,0.4439308726517723,0.4505899203793437,0.3948613791092978,0.3957141900948959,0.4550170077090804,0.4823727485122924,0.5244738661004709,0.589421707803515,0.6221220803744165,0.6214263479543153,0.6384640079391558,0.7060737217199441,0.6380820485352693,0.6870732173384096,0.7513152703163657,0.8837909093238984,0.7235404847953191,0.706448598781854,0.9325064742434253,0.7510780960908404,0.85138847114667,0.6292892399330525,0.6071308332645576,0.5982486882099148,0.5936191078519586,0.5463506437009338,0.5005401869593584,0.4218599605150313,0.4344287165432256,0.4697692325809688,0.4867609908911208,0.9177101868452471,1.4128071580668242,1.182262301313048,0.45753355753460023,0.3543692659212839,0.414699525348093,0.3889497967339085,0.4438539284400042,0.5193826909854825,0.5223942409788883,0.6359987730808682,0.615389276413959,0.7850142145307284,0.8805433060450326,1.0653380558726586,1.5560352476015635,1.6157919578670614,1.3881104960388244,1.027342753770627,0.8489162889188687,0.7462471799783638,0.5999193836443905,0.5035432667139252,0.4948695506449343,0.46893340957865726,0.5672685027548783,0.5380860324074976,0.5369130156342259,0.8852277132137122,0.6194539578343772,0.6812652234688166,0.7108163714967556,0.7424449314292795,0.7688532962691946,0.7775500764618963,0.9876548511867755,1.6346034888909347,1.3253145990005981,1.433616438594418,1.438950802780587,1.4096281404664996,1.2591558783410637,1.0533886166627024,1.3260650137174361,0.8375744019385909,0.7517739496966341,0.8534438813531676,0.768605283774834,0.7977767008662296,0.8324396855810778,0.7737368025880362,0.8354362439937695,0.968787266952594,1.157556595091305,1.0335819106855484,1.0784645383253324,1.3364556369274454,1.449285705705442,1.4098558910458199,1.590468373511012,1.850903232933505,1.8999206039187142,1.899973753237593,1.7449313641771422,1.6688785537788355,1.1750596368389394,1.1037649613709382,1.2726822027747047,1.157512209627841,1.5037519528271823,1.2451469178394488,1.415422580793488,1.0884120674262336,1.0053018963398266,0.9635609606493621,0.9311192549192211,1.0117953376436608,0.9260092192567839,0.8883606033082733,1.036431128128401,1.0854136450706966,0.9590282353128754,1.2619424993005803,1.618517440762793,1.3218006502346908,1.387679227686557,0.9331554584620538,0.7401225789259616,0.8454870759577746,0.8675344143404391,1.009167761754747,1.0331660481066167,1.1801702786814003,1.0458835820380636,1.1344885425092812,1.1986866355915107,1.1889623290021374,1.2328286681680007,1.4678043323481949,1.6220702617819593,1.5457692235625313,1.5606038548379408,1.7879380029997327,1.9735928330485017,1.7104325590673282,1.6756976400095918,1.4574543612197797,1.335813064206893,1.2039403904863961,1.0888609409167145,1.1819299356243311,1.116651299815715,0.9690165465299484,0.9910319094106984,1.0176397550043979,0.9057996878175044,1.0150101148663535,1.1837732640719292,1.0323418891002565,1.1321404774221797,1.187921218605239,1.3600356382249248,1.2141701579191777,1.0926626157812744,1.4396858523412697,1.3484052153595776,1.2237786278222886,1.0901066502236814,1.0286209501826593,1.2400033189887478,1.0460421836031908,0.9756468558658361,1.0993804635382736,1.1685187987905215,0.9923916268715064,0.8092832821660737,0.7591975479442292,0.808421675367114,0.5954379561640759,0.55976954655088,0.5977094268411728,0.6573380409719177,0.5415525227638729,0.6263798663974357,0.6738377459215931,0.46336762947425764,0.6034154177963674,0.6933118552961351,0.6503480980869895,1.4159304759732778,1.3515267446569803,2.4036835442263222],[0.8365409209682734,0.8673052905125224,0.5727450142524634,0.3374725325930236,0.4774361028362221,0.3447788709525049,0.3173948776833338,0.3286429135155478,0.35987909922674566,0.304098342255195,0.3014368183953261,0.36690322686231036,0.34888986507864467,0.36897630323011377,0.5152253056855888,0.41369789443333954,0.48418062177500265,0.5152978155634051,0.6375608953235166,0.6033664325703576,0.7289826566810883,0.7738313452115679,0.9189877992155653,0.9946417217369143,0.9476983414256538,0.7794679381738551,0.6139386320320683,0.5742390668617137,0.529440740631905,0.4383496590226814,0.48321952898603565,0.42660197652775356,0.4578651854315416,0.508919839591201,0.4970161640390638,0.5296684917307168,0.45292798073999835,0.5956348948278682,0.6198799210791023,0.667171712116534,0.682764621600777,0.6557999059045643,0.6425509190376874,0.8631424601662595,1.304370119525785,1.887049170695058,2.1421721864793546,1.213598940165256,2.6045453826291336,2.7954561612796156,1.5660636527833613,2.2579972828486214,1.140005827395849,0.911399814801416,1.4700870471621446,0.9917159749720359,0.7825200996607715,2.0263527877639764,1.24865093359096,1.465301064611876,1.0909339927365784,0.8386489228959597,0.7141432560539893,0.838575198251938,0.83548496140218,0.7306116023188063,0.8164850265768624,0.6340858995062074,0.8008289097997535,0.7155125374400142,0.8286120838373776,1.0322106509846345,0.7826115822803271,0.9559878492491826,0.6529267346710874,1.156625777518212,0.6284617642693353,0.5584329592836755,0.5822587999873304,0.6789037065871458,0.571550658375123,0.7559093586807031,0.9681699884413895,0.6472791330934179,0.8136986396949332,0.557400865625837,0.5908833099905301,0.5394183586787759,0.5646194336463896,0.5736127582109904,0.6008561648123285,0.7874073563311023,0.6524081401738346,0.4705853546893418,0.45463859702504955,0.5346904863667986,0.5740443869483055,0.43118915948129055,0.36332149084793874,0.5666300705908965,0.3834603495125964,0.4687632968679126,0.41654257984154813,0.4329479488792361,0.6181690585291185,0.537917083655123,0.6118271023027774,0.7573673501357957,0.5816450150731215,0.5820280251613834,0.43707766850485996,0.4008244723130715,0.3706134262707433,0.3968137036739652,0.4355980464528181,0.5073724649554668,0.5176443022980435,0.6829282805514033,0.7856929439534491,0.5401747723889271,0.5678184661737475,0.4614192918577334,0.47611913363690517,0.39827067857356124,0.34727308860365436,0.4131949831759095,0.4097402060203727,0.44521830573268967,0.49191634112175164,0.5490959608545505,0.5436159010967268,0.5571461417603876,0.6524094811376069,0.5813238021515172,0.6415982855499044,0.7170439179498337,0.8212622910946806,0.7128663393486627,0.735277307775772,0.9637460007165416,0.8055151784551999,0.8984846573947984,0.678988443887744,0.6620192879630032,0.6518484840740596,0.6415866590383977,0.587528365209275,0.5009526271429849,0.3911659156000899,0.3723434878268477,0.4039373157103484,0.4251269382038755,0.7945237184246051,1.355127328734788,1.1829055812877332,0.43136775414948,0.3307584994751108,0.3391899130131392,0.3766696449117603,0.40487585319037855,0.5118973074282148,0.5488916380597567,0.6703711715898967,0.6528627509157301,0.8132322016209925,0.9127438910105959,1.072524127387676,1.5574385879707635,1.6012987811601722,1.388798504623831,1.0168950277478703,0.8547708812882311,0.749006056237958,0.6101443292629104,0.5156884463168825,0.48235635331157856,0.4801573778925861,0.5577527683696594,0.5613912790358384,0.540955218082753,0.9075698517861482,0.5931675326213638,0.6659480886836557,0.7004880681711081,0.7412238932173961,0.7979969341734198,0.8169095162613582,1.0243811472570008,1.6608628191338475,1.3422710486038696,1.4350037906252857,1.4467790091840935,1.405446687606007,1.2446039319919155,1.0173819612059012,1.2902850447162544,0.7763884450737919,0.6991182945806954,0.7989544814957663,0.6881130040195933,0.6768196352321264,0.6620101186839625,0.6297147985995549,0.701601059823684,0.7925841353230917,0.9790856729710353,0.8878819262075868,0.9209408615816533,1.1142901343816671,1.2537339953038802,1.2280549803166352,1.3579459395461342,1.6037465173664722,1.685801246665678,1.679510001153674,1.5652173704780257,1.452165657811238,1.0688799111486915,0.9751787520588925,1.0982903061498326,1.0122958804602546,1.3617334687960758,1.098840224521874,1.2590118845275018,0.936977714470504,0.8528364869174141,0.8093470926492077,0.8327857598415705,0.8897782059245493,0.8285772606904747,0.809362482752771,0.9867947500420632,1.0315350454663577,0.9049383749089507,1.2486856448754955,1.5602896222503992,1.2954493575931323,1.3744262220422048,0.8804848858235537,0.6511456627817042,0.764340511898529,0.722591912308267,0.8710575846561458,0.8486045373725246,1.0037674301022343,0.8689581196252152,0.9144340498447107,0.9670133087514013,0.9857903063715405,1.0007889442883264,1.2000690896176782,1.3542054023220975,1.2971552644356197,1.2978309881336874,1.4981781064906112,1.7191948909760537,1.4434382524612672,1.3901195894786014,1.201164011136464,1.0932251445720924,0.9874058810356353,0.891619151792145,0.9680420156988297,0.9227201189087683,0.8094168659360201,0.8521181189156034,0.874764352914317,0.8089088236298901,0.9487324876367897,1.1142083296940513,0.9588548814113126,1.0958053792077356,1.1693843739870304,1.3445621432881025,1.195601451641025,1.057191445807765,1.4823522514275411,1.4078057220145561,1.2323031343285231,1.114253870482483,0.9520522351855482,1.1143984800957598,1.0506267228436792,0.8722155647516144,1.086403896146669,1.0776233179207413,0.8983250798318062,0.6929623009429378,0.6663557112033358,0.7040177922777584,0.5230838312495666,0.4772586272348937,0.5354108546994188,0.6580421984279181,0.460180777833658,0.603851916384958,0.6165899702503166,0.373045390197073,0.5160867881053343,0.5556343030516007,0.5646894252838494,1.4823193417612888,1.3087024009980057,2.338807093777616],[0.6831070577222403,0.8049657156117525,0.5236360960375022,0.3771540148361293,0.5170392720343467,0.4742547012631051,0.48439206992715794,0.5019794070274958,0.598088019047991,0.5958527472772431,0.5995901129346054,0.6364907399551554,0.6002750968617676,0.6210713937514004,0.7401377005814964,0.6480405591919183,0.7242585884781096,0.7374556923047425,0.7652269222832178,0.7770311051265604,0.8466140968663973,0.8769037333389624,0.9372508227311664,1.0561262644419487,0.9312019898418522,0.8353889052911261,0.7403423299414045,0.711148153067205,0.7216312155714601,0.6778454296049774,0.7386883722611832,0.6644625117938411,0.7397898062454811,0.7282474597913182,0.7140376130935756,0.7425816082663433,0.6695642262737399,0.7481865217003527,0.7415841593763184,0.7705685731877059,0.7737403433840139,0.7894654234074032,0.7678002166909751,0.890598946656769,1.2941998071375007,1.8574212459751225,2.0539126136435977,1.182327583356337,2.4643698197561514,2.527960686268811,1.3826016975061455,2.2398917322965888,1.103073215867389,1.0084223900621427,1.586773390958983,0.9780104367121569,0.8066850393185956,2.2397763002664646,1.3830158939229724,1.5074022315290037,1.2135603930928247,0.9644249501009501,0.8869632098439917,0.9758681785307152,0.9539697507649757,0.867443527188072,0.9664788461503077,0.8170602069800775,0.9084637433849949,0.8980515595029693,0.9703168027740267,1.1271835350616015,0.9592877393763417,1.0379697907037717,0.8493343221425207,1.3489501510154018,0.8131703822392777,0.7733202647153561,0.7689208611769655,0.8152471062183162,0.7488721640113656,0.8937668140359606,1.1264458467317464,0.7904419630515744,0.9626088085745388,0.7243335333809722,0.7505656521480155,0.7112607144534758,0.7633060406481792,0.7720875646118935,0.8055790523169076,0.9999882433077117,0.8358867232434385,0.707332544453348,0.6997833831958667,0.7600074893609572,0.778387249586263,0.7020371988862839,0.6408509830129717,0.7487833415920445,0.6558224630104323,0.6309945636769377,0.6230987463856186,0.6306225601767338,0.7526574266131222,0.6792929859173394,0.6671973900080764,0.7718879691400229,0.6019354950399383,0.6800607359128885,0.5262285504543719,0.5613688441481721,0.5499519898517572,0.5651858075607719,0.6754369926422684,0.6725709620040452,0.6747244086735232,0.7585802769900264,0.8841449957998441,0.7150941334060033,0.7397738430145955,0.663483485186896,0.6497451445634076,0.6281411387127599,0.610794618578094,0.5685086574788083,0.5165713191244606,0.5555584019866365,0.5573094318443904,0.656339163163805,0.5703443540893527,0.5827365531542622,0.6875020118272976,0.6904153061701882,0.692857162916101,0.793463275865572,0.8522231531444536,0.7386463176025424,0.7460624403793984,1.0222198036067196,0.7975574324456915,0.918601245854289,0.7700475984535647,0.7379596104380277,0.741748185342091,0.762818266021873,0.7204740203176401,0.6783674166333271,0.6013961447022774,0.5803569847239767,0.5735720394665478,0.6430621096210116,0.915245243864146,1.5141332393262494,1.3413604156603556,0.6399798188520361,0.5794612160136025,0.5721833532940332,0.5871833504642466,0.5927484537173977,0.6682377879479908,0.6961249340585253,0.7572532108828325,0.7523516258027019,0.8511274796433616,0.8829435032379527,1.0673238482800003,1.4719391172171312,1.5037777864506354,1.3509200385760025,1.0109738461015259,0.8886697630950597,0.8393101665602121,0.7278907283918351,0.6598208603640663,0.6437154037216855,0.6477644759936357,0.6972798741562556,0.7042027306313616,0.7197968495917771,0.9864539614515242,0.7401597913802958,0.7979962725471254,0.8004378708914464,0.8118653333298538,0.8676303649926557,0.8696277842878368,1.0912610535142175,1.6844723595006583,1.338209866294924,1.4967286692764845,1.5188565865424868,1.4194886333950445,1.2699979446085554,0.9800914098263848,1.2342837765620303,0.7519838944123931,0.6872285979574321,0.7616617985730353,0.6753001585127024,0.6509430374756524,0.6849342537933636,0.6443490532075427,0.6772179290445745,0.789630137749499,1.0101849623420767,0.8696448776606677,0.8960989035637403,1.1440095731722892,1.2533964259770758,1.1951731140895485,1.346620326518999,1.6294259066836965,1.6272591868490272,1.6183986675068305,1.5076553362474074,1.3953297378967353,0.9980091046512668,0.9151552478070406,1.0532691074022646,0.94274821358489,1.3372732333681006,1.0191260866450735,1.2938832466905508,0.9291106959280259,0.8266240940146575,0.814387011770039,0.7448315091691202,0.8086468028515754,0.7643814814322792,0.737981120547356,0.9008330094936678,0.957359110242433,0.8246589218080583,1.2078998523349453,1.4443786422259688,1.2253785056762605,1.3370011507922932,0.8296854929989752,0.630666921835487,0.7223077729364924,0.7199525078329507,0.9041475009185096,0.9287851145801492,1.1033977069737453,0.9131390444016452,0.9557530881710367,1.0738782344181854,1.0709487942299216,1.0723156951172286,1.3075246474129467,1.4782546219585089,1.3785831731998273,1.3674906698343048,1.5907049982532995,1.806623916683304,1.495089211183435,1.4443714977202933,1.224156619284523,1.1238061833350677,1.0215216797275284,0.8889351220243,0.9583009044606139,0.9088543375266166,0.785045770032678,0.7941033978509014,0.8180299027414515,0.7517658035980209,0.8738579192170052,1.034096096887047,0.894903844533304,1.021771447007194,1.0866498605923982,1.2768453192453264,1.1355306667632161,1.0159242455644695,1.4348872358208489,1.3872912535187014,1.175189537623372,1.0756727239710975,0.9158470438891813,1.046853829935187,1.0077775431252547,0.8492393462818888,1.083270983102583,1.0519529212258931,0.8578875059244494,0.6775873349990466,0.6469337577564858,0.7529723894964417,0.5210069157698007,0.5157890040703981,0.527787316440858,0.7184306635400792,0.521642758986193,0.5324944219025223,0.5694236427205662,0.4782712005524493,0.5985258341757665,0.6246264408574602,0.7012420074889651,1.492954566676628,1.4214394575071603,2.4324088404485464],[0.677017478583498,0.8715922320630242,0.5555351888038291,0.31679002212040774,0.4464220962566484,0.3130739138662604,0.27986109484534205,0.2778633784836108,0.3508823460292149,0.28431397527802754,0.2767877215578091,0.3319328822953616,0.3147353320884478,0.31395370910793,0.4838977766330273,0.3685844798585679,0.4209925910709917,0.42199985906145726,0.5032106541101903,0.4866195531062882,0.5736574970006475,0.6313159124118208,0.7622330475612249,0.8319442406835481,0.8153288078544081,0.6348096038676414,0.4780819233855605,0.4329341324850409,0.42945719508551217,0.37958061576874885,0.4435911292766584,0.3861188703131948,0.4310818454917342,0.46372491661745796,0.4445885274616767,0.4543212033139464,0.3949598853646261,0.4880430378757897,0.49583898915619207,0.5498925003499372,0.5338334405559122,0.5226827088145245,0.5061191050583886,0.7721017670133824,1.2394216629295067,1.8230259499680097,2.0442406181988724,1.0945375057143378,2.5065583572726693,2.5856698465760575,1.3537167189901025,2.222406135525816,1.078814705861034,0.7987296128277631,1.4435593926013044,0.9380948778223981,0.6967025049306208,1.9599251606412844,1.1275341646587453,1.2886480951248702,0.9377539187303907,0.696458785363322,0.6023784260055065,0.6819028715400247,0.669841220340955,0.6008975183992241,0.697699619256396,0.5188072195147846,0.698043220439039,0.6330006920884751,0.76167491918575,0.9838399573413561,0.702726058890989,0.849049559997518,0.5696570469385933,1.0815113313620095,0.5295114965741822,0.4793143261955598,0.4927519861963385,0.5799509519750025,0.4908766195102814,0.6941181389631618,0.9595653475851839,0.5863016980122523,0.7945004789781892,0.49455297341988186,0.48794324000336614,0.4745098548635294,0.4762465217967622,0.5127136993177658,0.538428354432185,0.7558459725989302,0.6207291607417122,0.4444794239196525,0.4253927199464869,0.5276097663804681,0.5622881222803868,0.4075573187886976,0.3355864086662397,0.536144076567246,0.38334694659130397,0.44059974086684256,0.39662144108861896,0.43119469661306914,0.6206349953601846,0.5137092504767462,0.5361034196728709,0.7050312765323179,0.5167348198173171,0.564804027644374,0.4001101174019373,0.3832371346718475,0.35886249760392624,0.36617775236851985,0.4119459719840706,0.4384238891255743,0.41008608567290666,0.5246365264594877,0.6183600649716507,0.42442547482335924,0.45240559315434137,0.37735187327569264,0.37882470213300606,0.3439412120996972,0.3440924067371596,0.381100882878246,0.35512493584300275,0.4187682502587472,0.4425002409859632,0.5431701815536237,0.47760385222682533,0.4824318902775521,0.5654520840495132,0.5673618172617623,0.5772914900130718,0.6693126165252722,0.7955236060154446,0.6388046329554116,0.6037991019267814,0.8363949742789796,0.6194621032547483,0.7603798487388341,0.5283619188055133,0.5074716708979924,0.5064475565723784,0.5347494481092131,0.4818935098983047,0.4527220646553538,0.3697028466730756,0.35364266796189336,0.3837957775863773,0.4296943253848394,0.7521398100621569,1.3485850944891093,1.1931983584820307,0.4103586292337048,0.31533566514799183,0.3405056582902132,0.348289065408921,0.3906236982729531,0.4762245487798396,0.4761258599195529,0.5622377500737296,0.5507190982476446,0.6988831532689255,0.7422499373360506,0.9328593445111597,1.3383554168620104,1.4172368875798955,1.2741779768488357,0.9230005942630638,0.7617829320225259,0.6845263448186438,0.540061029916351,0.4568582042153877,0.4513644881548147,0.4388238774463245,0.5334455519821267,0.5041969348899386,0.5095896920792732,0.8271895674502435,0.5647521052688621,0.6243096255988513,0.6345291924587491,0.6606708526509483,0.6922268389395693,0.7052681340701171,0.8945615914558227,1.5828888206729756,1.227391960856917,1.3911384558153863,1.416149967051799,1.3213496040492974,1.1720266490155882,0.9113970710691279,1.199878034196227,0.710853838714872,0.6034420523908469,0.6992905389570204,0.6076639501112733,0.5910193191418511,0.6272370623838602,0.585643127527288,0.6322277850264864,0.744018108923205,0.9585956772149085,0.839079271396951,0.8530102528819379,1.068603665239579,1.1835054880710174,1.1362159819711177,1.2512034449211742,1.5063038271344127,1.5018821535576872,1.5048330870275068,1.4278001554339166,1.281213601525203,0.9520699957466242,0.8593842782062909,0.9766493063329201,0.8599830959928274,1.268757496066466,0.9393734364417353,1.2551490598279322,0.8826415619251944,0.7995176236101127,0.7818879398674445,0.7138583160489816,0.7556212174764757,0.7231907659933143,0.676640199588895,0.8153132213866684,0.8891886731307357,0.7491494408549358,1.1328184939376975,1.3173295209315794,1.1354633869018393,1.2686176420961792,0.7620052137799093,0.5614868921507371,0.6543925041544918,0.6808753360046422,0.8571474611083985,0.8900787268010417,1.057297858973725,0.8602257324082948,0.8931338043061463,1.0011564543070797,1.0023631673519258,1.0093745575394988,1.2114714608111317,1.366131112925849,1.282844223043393,1.265669918705063,1.4627847906340352,1.6871560445198415,1.3826328879931005,1.32178272973032,1.1250532966600608,1.0346431824083404,0.9556517200716718,0.8345688519335687,0.8847987402363997,0.8464882468308158,0.7349265870100361,0.7327812647788412,0.7548537503109902,0.6947696580889238,0.7963837692782719,0.9451702803977323,0.8292891156479895,0.9323375675260804,0.984866707867074,1.1844994065673637,1.0558796242784023,0.9608179147646047,1.3620452401954808,1.3878903108945266,1.1330173652503195,1.0760860235775134,0.8990429834886344,1.0051965784443606,1.0529873543287749,0.8412422516341947,1.0624947947515944,1.0012269005192962,0.8226427390162561,0.6408996353031179,0.5849470453809017,0.7099508202796929,0.4349182934231975,0.39282652885134717,0.4093761000108668,0.6199163033012263,0.3809251843461739,0.46378920940358087,0.45584248669484767,0.3182896551499061,0.5729388088301312,0.5354632924229691,0.5938586814137519,1.6437433539042494,1.517267000552248,2.354796036652573],[0.5800517563160833,0.7964988354618808,0.43692564394329464,0.2869939857054177,0.40532554811669264,0.29281581313579585,0.26673758857324326,0.2708377181268004,0.34805617819111384,0.2578713472563528,0.279141864118666,0.3443979110875214,0.2686333137637875,0.2742411518478466,0.4178210118056714,0.32554661806115304,0.3404773155481963,0.34078758257526026,0.423446544764812,0.3818124930755387,0.4598285915003966,0.5047914411317852,0.6764968181141424,0.7365199570247162,0.6924149058025373,0.5167323562165033,0.3704715020517149,0.308292121285913,0.3275119755689197,0.2940243338586595,0.39469467927312807,0.34483444746351133,0.4150898773092335,0.39186137973505736,0.34195246491817993,0.3376990950617281,0.2865652370992757,0.38000177747949465,0.3458920544516902,0.3722334102285855,0.39594120192568655,0.4535295192170571,0.4483305107108476,0.7016030148180675,1.2630443198771124,1.7632220280104576,2.0385396270009615,1.0379741730579342,2.395247736656947,2.3995282624004157,1.1613412581107216,2.0990464445067123,1.0190505766529605,0.6928248760659141,1.4911444844664905,0.8965284714516911,0.775456480072694,1.819897032269758,1.0093914601572513,1.0913199284760786,0.7840485936674173,0.5865826776977743,0.5056169646422372,0.5834929257521699,0.5321925935613586,0.4722221091809098,0.6501066979087304,0.4615659941147132,0.6431269806235456,0.5814887904318253,0.7643884905989422,1.0025716675121428,0.7040682481761946,0.7889264880404787,0.5185895090885175,1.0443278811255208,0.42985897208145596,0.3880341821438897,0.3863531728270585,0.46888962766860726,0.3714292387755621,0.5633726377052792,0.9273808988646411,0.4362862890244536,0.6539357764267731,0.37422431114295507,0.3605201111924062,0.3671739111420553,0.3507424127550321,0.4421598256007353,0.44442622104309026,0.6802746843320251,0.5510915691120466,0.40577989120753205,0.3879692008942261,0.5057429550662448,0.5299375407701633,0.411146432978634,0.35046104590455446,0.582271176820594,0.3663472208513324,0.4766750483146818,0.3316113034602185,0.39034937645220147,0.4783577300546166,0.4494952922817332,0.5122329125370058,0.6197977690402321,0.5137788158925154,0.5252219797197019,0.3441441726384727,0.29358375063030645,0.2724252666094006,0.25962263759749493,0.3246413038223023,0.3432674053614699,0.31811738185122473,0.40532665498630066,0.5147067846713359,0.3668588951359431,0.3850468964636071,0.3161756423234834,0.3069769770950736,0.2345967112266456,0.24974461471547488,0.2783011752934944,0.3058339563045375,0.3279956681122249,0.3436834227423685,0.43426763223255793,0.38947863829053614,0.4033510351515361,0.4293589347746029,0.46985161168134854,0.45180937947831645,0.5510236830188753,0.6967775583616495,0.542148768687205,0.5168863005395703,0.6167459162779199,0.5389527720638162,0.6479104968315665,0.4403426197666557,0.3684213703137207,0.34911824618313775,0.39914490779517975,0.3431678674773482,0.34637126904832294,0.26384196298908,0.32088390050862836,0.3599681516658959,0.4447035824016433,0.8479334121369657,1.4572940899734126,1.2134001190712385,0.43880398219644506,0.31627242053474947,0.3247787502596884,0.2933504485343549,0.3284056064390318,0.34406214255263934,0.33818699985188017,0.3922214424358784,0.3658792130712906,0.5358812582364307,0.5753363487221599,0.7743366205457592,1.1762161319060238,1.28745945804918,1.1865773319785473,0.7986256795661263,0.6029919732114062,0.5039574400621456,0.39594956408502147,0.31760507151319234,0.3216253669170401,0.3356225747212722,0.46104350967463925,0.35952876110326326,0.38944252166180476,0.7577393058235334,0.4018953301596133,0.45128164441765845,0.4778120084056528,0.5066075565604199,0.5302634598850408,0.5426524941533638,0.7422480994004201,1.4591683602791725,1.035348525340056,1.2808570352049327,1.252905346314134,1.1288213944551218,1.0367730243550983,0.767346512638874,1.0150820981573168,0.6596137030057253,0.528382766068489,0.6290135317575805,0.5488460564496883,0.5307750604087533,0.6129529636818949,0.5290918755270669,0.5706406391783383,0.7285438753805621,0.94208913471888,0.7402726810414804,0.7743355395287433,1.0790707078356612,1.1220016318313528,1.0252141938705004,1.1973824062859286,1.4881910560405152,1.3585217277863806,1.3639323601469384,1.2606158756850174,1.2034205445274655,0.8337635920056325,0.7677982245411694,0.9181563213211749,0.8113332914862386,1.2956628727141852,0.9108621887727957,1.3160078535323863,0.8568658941235882,0.7998133409117805,0.7955018972714255,0.685859956049609,0.707663209572519,0.6360260857457898,0.6108009924674211,0.7032552395965223,0.8001134620810176,0.6355019171049914,0.9868937662994881,1.2037177915036275,1.0651999929814824,1.158441254887375,0.687821914963266,0.4839274466758165,0.5751220800849074,0.6738611545413049,0.8936597585333954,0.972767478964549,1.1213553280634032,0.8982480062727117,0.9837038166285221,1.1112553422828502,1.0819821087617811,1.088623613503736,1.333962580248866,1.4965292287522929,1.3615851568982336,1.3518634868988362,1.5852240785887055,1.7689607328964172,1.4341530653598453,1.403155727426731,1.167229436006708,1.090780870424969,1.0043378218271035,0.8656858311631832,0.9028067526477864,0.8332774731188806,0.7163820240642906,0.6897180147850864,0.6989876292784494,0.6284906950893743,0.7072673797733938,0.8648241444666915,0.7597791253893881,0.8735134455390247,0.8911287282026977,1.116859785729121,1.001226013804874,0.9390081434407369,1.2710692569889606,1.363058830992889,1.1083835051679616,1.015193117400986,0.8016910784348573,0.8074725677680319,0.948761659945834,0.8046805580610464,1.0880687651927552,1.0573738658097185,0.7812749959476749,0.612956478341469,0.5524753655894076,0.6869764667219543,0.4252557118382974,0.35919754545767074,0.3988819931443812,0.6153323259538697,0.35958859830941964,0.43384225194663467,0.4435596113700218,0.3190041118930046,0.5096013470603049,0.5508527000178961,0.6036266366458619,1.4195550761928035,1.4078615657611366,2.3854657834665467],[0.6586014921166685,0.820697424147506,0.46766468132217776,0.3527910820591492,0.34641324334104723,0.2742508500438825,0.2453116393391394,0.25274806258911686,0.3135234393760497,0.22445068497343484,0.25164043805147124,0.3213954282094182,0.2481244151727695,0.2533036180031973,0.3925134000234728,0.3034226956432629,0.32056144056414315,0.318764797904377,0.3984369524197546,0.35628453513518543,0.4052830067230139,0.4543746872199619,0.6020369199707618,0.680580698569456,0.6632389855191935,0.48071690968278435,0.33211050512707885,0.2753915109308496,0.30330358395861917,0.28208388004431567,0.36619585523493575,0.32126222880393734,0.3700570992854542,0.36852618650738006,0.3262700315346258,0.3126540245373,0.2815641999098659,0.35752886642595866,0.3141618950417343,0.33958367782404225,0.36198338636575567,0.4140328443405657,0.4069058418344476,0.6924508239847673,1.2034536059028933,1.7108103200113276,1.9340372557732601,0.9936672179868393,2.3570370225450774,2.3025839594894832,1.0562185624780456,2.0822425008473617,1.0004691201570093,0.6282388150672392,1.5055776197756083,0.9113366471919667,0.8830167377326016,1.7327287017821877,0.9390259570624203,1.0191988151631297,0.7197482142315398,0.5405010408824404,0.45874788401868544,0.5299607140869327,0.4700175211497826,0.4179331971305235,0.5949671857701083,0.42307764304976847,0.6049475880416018,0.5333881885475006,0.7405820853768663,0.9830395603549062,0.6687320006081383,0.7330845786956971,0.4894557002043582,0.9930640951810242,0.3968562193822956,0.36350566399590545,0.36311724909861476,0.43808957642399315,0.35941408413738135,0.5423664409895411,0.9116084930408098,0.40451612520697233,0.6385964577018709,0.35854290976145387,0.3374653346366442,0.3697503680747783,0.3251582732758776,0.43836500836085796,0.4158015927665844,0.6551717495223114,0.5140066808362046,0.38306135139297465,0.36958688710926685,0.4795089458870648,0.5198649155509452,0.3818336442226645,0.31492053887042326,0.57467630506288,0.3327934600273765,0.46254105490370934,0.3034320994183266,0.3541721609717812,0.44811383568606505,0.4403654804608296,0.5031372553891323,0.6215792289519533,0.5216384188880818,0.5347172000320557,0.34304258020522427,0.25500307631519403,0.2448921637049939,0.22012664829447884,0.30244623148422717,0.3100530660019062,0.29769683977708467,0.40161237864849525,0.4460646674380962,0.35376026448183284,0.3451713554797566,0.3113377026356409,0.28174765857342676,0.20784946299284424,0.20119439487831464,0.23092473299943636,0.27257123090080043,0.293751609993461,0.2754771714665042,0.4036710648522775,0.3445748748295014,0.3524273146474118,0.3693045540959805,0.4485318828322983,0.4002099735709596,0.5027897970161651,0.6352948472532726,0.510978466770927,0.5176557155617895,0.5350513865001062,0.48900995907289047,0.5761992556230505,0.42951711894585626,0.325752783831206,0.30201927042361354,0.3558507938048605,0.2906627657010453,0.317532895205285,0.22110122280662178,0.28931514954756116,0.34529048177096766,0.42037204148657875,0.7670809582253619,1.4422779470710498,1.2401227819069682,0.42420657673696904,0.2963230307458923,0.2806758499834675,0.2653357376157146,0.29554790515001395,0.32370580085228123,0.2986027418697447,0.3556272133942459,0.3237482596505486,0.5073105218407724,0.5229283130304166,0.6814758675931194,1.0265105312900373,1.1477491475896935,1.1091819080698129,0.723205601035714,0.5502091647212254,0.4653150448982789,0.3673462052982373,0.2894332362019923,0.30757774971219193,0.33492646749430316,0.47410164834480273,0.3479806092860789,0.3818995292567062,0.7362229806133582,0.35906010800414306,0.39745084526413177,0.4162876370929585,0.44701098865791816,0.47562156658402005,0.5025321067711493,0.6934447905624372,1.4237492308144104,0.9648173244130471,1.2619979750217476,1.2353552281776858,1.0634445313220988,1.0052410051354796,0.6935017929527344,0.9029709251909345,0.6477361524502389,0.47838344804173133,0.5645391285030921,0.5073320844304772,0.45577694367283494,0.5403279004096289,0.4566335879448704,0.47327188496356165,0.6238652332030533,0.8168520060623469,0.6042654636765322,0.6388549183031975,0.9299900119831518,0.9294736370481904,0.8313730040745907,0.9812487635255249,1.2408975939310538,1.0769557894587587,1.0964473260821541,1.0333857616775235,1.012220361933787,0.7096162969308794,0.6490403747841264,0.7653396209546757,0.664817676067024,1.2700568328902135,0.7959117110159444,1.2769504677975392,0.749200557215528,0.7153156671094186,0.7323378126590094,0.646523268863185,0.5848493173635462,0.5431693183357356,0.5610115456723895,0.6336479760928593,0.7167308867468883,0.5504311677808705,0.9297449714882422,1.0218009701503699,0.9494946464669097,1.071348867175514,0.6046976479874615,0.441046103625778,0.516436750988972,0.6420586556689227,0.863148421363558,0.941953594295018,1.0938397633528476,0.8345691058589375,0.8981795021737187,1.0616824706314132,1.010916795673993,0.9877667170902058,1.2096179550288806,1.3529019276826653,1.2005893286594915,1.1930068983594273,1.4083237183061188,1.576636389334448,1.2379217935172016,1.2156668916975835,0.9973523188329976,0.9445791909400333,0.8838942029376533,0.7626526586484336,0.7584192276395908,0.6989154620904032,0.611043236361816,0.5696466577255613,0.5797466854589903,0.5275629744573352,0.5927334038250949,0.7450367032644304,0.6423562937576569,0.7433076901609555,0.7499049681063233,0.9815050449932172,0.8836953056119266,0.8565699710937259,1.17811727452971,1.342796472075875,1.0564418838790963,1.0093950494068211,0.7447671852517718,0.6605354761886095,1.0275821052413099,0.8074769220271326,1.0591391946078512,0.9673510267172779,0.6716606819010907,0.5553335936614897,0.5064726047334493,0.6251580019095224,0.3860691654653939,0.3351220246692706,0.36073006628539744,0.6968390106961115,0.3556258360608105,0.4170267898812397,0.4077682021301974,0.30625503346102717,0.5324927337706337,0.5358518306013828,0.7103011590911927,1.3989236510506236,1.547327325769075,2.434880570629528],[0.7316396522496822,0.7392088122330678,0.42351567551628355,0.3378658896769831,0.40688465122237666,0.2632247640941187,0.20364099815361217,0.22870430508667355,0.3164225070572971,0.26274050058074555,0.31086027832016816,0.3762900878381996,0.3029504108874849,0.2814287269858311,0.39042526614170703,0.3423058602394381,0.3409298101178676,0.35617218811312923,0.4052385010826692,0.3943444725897237,0.4218208426178143,0.4748013564156481,0.5776779456773514,0.6704381317128978,0.670550998123229,0.48928843571053593,0.36341634728543076,0.3167319919612325,0.33231654552052703,0.30851187639529326,0.40325810305952886,0.3381228081562708,0.4034335824104893,0.37949478133268577,0.34115177667291763,0.3364096277327303,0.31197471305983115,0.34563081929919565,0.3228496489558963,0.3483217872339045,0.37864927849848345,0.42233842285659046,0.405257237119953,0.7424315429640452,1.195627524709556,1.6970237704103373,1.920121812481163,1.0075467076765448,2.435619155752109,2.4136070371070346,1.110569995335925,2.081428829811932,0.9337497793038348,0.5795873071039875,1.518418630793714,0.8863180075718424,1.065609339580996,1.5839381063753064,0.8955076658960753,0.922068229378929,0.6725688724974522,0.5293685757727167,0.4748927095648471,0.5101764135746141,0.4589292326132977,0.418186385305375,0.6293782012084151,0.45030022263077046,0.6134512124265972,0.5334104493713812,0.7631403074354748,1.0208415411349516,0.6883996887994352,0.7186347453967361,0.5170648785531707,0.9794120392992465,0.4037033983635362,0.37238279277792086,0.37177583732502073,0.4582007612168703,0.38428338539826207,0.5280171762997332,0.9493476249683646,0.43282753948307506,0.6179548702652875,0.38774180271594727,0.34564755110854833,0.3919769676302609,0.3577286624715019,0.4582775520955676,0.41676879376786957,0.6524560100216173,0.5125991774401943,0.3976983908931729,0.39351456251494793,0.4964576493617441,0.5266584054243074,0.3895143278175657,0.354489822345255,0.6182319280643698,0.38005427224447336,0.4649677006006246,0.3197716723216161,0.40447961574192526,0.4952095447964253,0.47872109987740247,0.5909965016211114,0.5580151227992378,0.5271487190178963,0.5586482558257028,0.34895270590498007,0.2679752373970441,0.23513262162780577,0.30196987781437895,0.32881395772631944,0.3634409964784466,0.35962846549708916,0.4267075072429526,0.4179048652160114,0.37444817943501857,0.34589698797358975,0.31509405094188236,0.2923496782486485,0.2605254029353533,0.2586504577052155,0.3012951214362652,0.34181163035963735,0.307460619101819,0.3334090616484611,0.4454756017443128,0.37082537494747225,0.3957319650951832,0.40549233595067885,0.49076157828104566,0.4495773459051349,0.5389792605499023,0.706310771942013,0.5740383483696211,0.5564050759037134,0.4956437347669701,0.5283659749763848,0.555932733975864,0.43094838891490145,0.3459675769404176,0.3223342654324005,0.3445837594738281,0.3112696852767838,0.31917062863297485,0.24872678890466307,0.3098993139760393,0.36341933159289824,0.4327855193086036,0.866528471991006,1.4349027916765704,1.1745981316713605,0.4405038212937207,0.3138312103927085,0.3319007146186911,0.28678460454883775,0.34214396569023925,0.32741554745770546,0.2915480465342792,0.3542993724376194,0.3230755057339603,0.574199228193101,0.5505110377541029,0.6958435924381421,1.0207280895299913,1.1964641268943763,1.136725998856704,0.7797253685239333,0.5941119740816533,0.4994576451590415,0.3871629649268982,0.3113885097827375,0.3173078779453895,0.3244620816266453,0.4890577500932291,0.34632220490108434,0.44291538604712644,0.6955624386131583,0.4003205791431791,0.42412835141034294,0.42006735495060554,0.45329834675875635,0.4747177235562969,0.5054510256424889,0.6964572325920861,1.4291525626129213,0.9731864182000957,1.2676045669786118,1.14776256199035,1.0114160427613414,0.9858924768534126,0.6602367698297534,0.8039814175559694,0.6781525981015383,0.43390333937691905,0.5264045943239278,0.4867545853874816,0.48696305589903477,0.6251800087231247,0.4896900243354072,0.49650924272082825,0.7089768361262132,0.8954273931698656,0.613319693986457,0.677376044264838,1.035180348377513,0.9720664423496985,0.8451114865644127,1.0378986758618418,1.3087948288895257,1.0554512109037273,1.0807557709813989,1.0210528020722462,1.0440935737187484,0.7411296449579825,0.6794434084767361,0.8287271075268489,0.7392230245323981,1.3586590063483601,0.8562503627541229,1.4049798154958613,0.8622070096281598,0.8451132556578177,0.8646992097623805,0.716538346742758,0.6899012644873966,0.5914126779503426,0.6162428324843089,0.6336018801838145,0.755162248849067,0.5162473818310691,0.8054282992098788,0.9543240140636544,0.8866654533520151,0.9622122037991204,0.5560795868720341,0.4814032004096613,0.5578399594870411,0.7339722761418427,0.9798224788396737,1.1083504277322065,1.2334640349807426,0.9766857814243225,1.0647940306870882,1.2165629298569027,1.1533379606320366,1.1419952395052693,1.3926519715227497,1.5342466896952813,1.3520724236807589,1.3507219249777875,1.574772134771939,1.7070263224541442,1.3603084815212976,1.3582189447043482,1.1256861844647892,1.0913312105639383,1.032380139994074,0.9021152526014303,0.8896691309926793,0.7997663596280763,0.7234173530873863,0.6483568918614736,0.6393495686157181,0.5593509140496224,0.5995203221775687,0.7616766222361594,0.6590182085527467,0.7194239914498395,0.721008174070764,0.9859484870007672,0.8843824451915226,0.8726474030273484,1.1168116166729978,1.3281864412995437,1.1060483560025427,1.017820048775771,0.7428035251896179,0.6153247444048551,1.0382882414708465,0.8612130144365241,1.0856564578007921,1.022108284651527,0.6733365730184204,0.5776415157858498,0.502372873979303,0.706111930974404,0.42685460737565095,0.35809432191231927,0.39193986494849803,0.6298947329225915,0.3709084764901865,0.4220224939980303,0.429630858125457,0.3017180579495327,0.5048442514373427,0.5475955390411847,0.6208826689115102,1.3108700369660866,1.385738015299801,2.37756951424148],[1.0450022836217085,0.7201556671484475,0.5877251270292402,0.5071700442932322,0.4028298429693582,0.30744434348282046,0.21838415689939106,0.2875443294806328,0.3663703504163239,0.38030505608099885,0.46985406497876847,0.5156151871190846,0.4360575394316284,0.4456133685986851,0.5378347355941279,0.494098124101493,0.44104302365037806,0.4628949027648119,0.4865917597820315,0.50974316607705,0.5189139108871177,0.5519283254826904,0.6252954244817573,0.6977224025643687,0.6648541297520595,0.5333811868337931,0.44798907565634066,0.41882421096232636,0.46263552037300404,0.44826748568848007,0.5271793319453977,0.4992059576122945,0.559731235366576,0.5422786557850912,0.5061238673944749,0.47511633108317186,0.44783362432704815,0.4560608079896087,0.4089006399076453,0.4103880025506848,0.4330177678033975,0.5124982089972364,0.5065902209505759,0.6961654472068366,1.2177086347597395,1.67058780570351,1.868179686232224,0.9492240003941658,2.224487605700367,2.0943644304123215,0.8954682983859181,1.9349283258620593,0.9842582319458809,0.6209712720180448,1.6428004749067961,0.9797078018851747,1.3014802340086247,1.5367829206604375,0.9151920750846356,0.8607615018735574,0.6794614455173945,0.6033314578211609,0.5860303038004822,0.6247991074103317,0.5531333196071078,0.5474269779960184,0.7072505793841991,0.5916192460163965,0.6944264428113203,0.61801763425487,0.8198218157890821,1.105978178572635,0.7638579137042438,0.7653478123293926,0.6390890508518505,0.9528793210367941,0.545307764355428,0.549894539103491,0.5176686714133545,0.5964940706352809,0.5278960559272663,0.5831321949277076,1.010284178835358,0.5029418935123451,0.6014032962281147,0.4655988452925085,0.46200589820279714,0.5169231778065349,0.49873736625328224,0.5951179117884996,0.5520349432662253,0.7354595105975502,0.6169414541464237,0.5359694187242899,0.5310956171273972,0.5981920946591268,0.6505244527367627,0.5223154775452616,0.5121050934011208,0.779581089977174,0.5325596365074918,0.5831867417509677,0.446852325662616,0.4759538228728363,0.614258408013667,0.5153022862664739,0.6777937193053047,0.514140006711213,0.5042363133360552,0.6179263962831008,0.3361305674301945,0.2844711880711112,0.2573744628672539,0.3263796738948719,0.38289524976241734,0.39394819661438807,0.41657308571223683,0.4293757995562394,0.46336282799115747,0.4849492680954876,0.43905067488398547,0.4024890277571745,0.3230100748460745,0.33898165852328793,0.2812833360175493,0.2770914401910029,0.3962091649507733,0.2820756856100372,0.2834442198704665,0.40423657441611344,0.3199901056596956,0.35603823248082744,0.34172171983494903,0.4783791548674341,0.3858042948225872,0.45472761460984856,0.6491288396097933,0.5124407633476757,0.5555912660148696,0.4572547532129013,0.5512568265162361,0.5507785519525858,0.49254371724655155,0.3962719904829695,0.3788507321007172,0.407458817601008,0.38671991387196797,0.3632890421337014,0.3163058110322906,0.38666432166544124,0.41535602100684427,0.5074672953220872,0.9300043211815224,1.593490669745735,1.2700358787505408,0.5546790200813736,0.4577124992591239,0.4463600737792465,0.42128376167686693,0.4011306643678128,0.3530110890497186,0.36801076312973513,0.38657450175972374,0.3728442014763736,0.5362164188829671,0.5271430952354046,0.5980270697262317,0.8543118970958008,1.034428130041893,1.0377962773170502,0.6995581136840046,0.5318565502084015,0.43107112308084494,0.41936838422447026,0.39349968628951415,0.42663793664380945,0.4413773875775548,0.6161430466989123,0.43572331610193865,0.4957417098954885,0.7563283916462069,0.39756434477564573,0.390429930039229,0.39037144337598656,0.4111944748861188,0.4729025549202905,0.4974302508240873,0.6955626266858755,1.3349003390030556,0.8385403609610573,1.3197977487656827,1.0806202598179242,0.9197491785691155,0.942925299996271,0.6141304026492105,0.6343979371167521,0.6871737441882186,0.39633495111811107,0.48272505790298953,0.4529049455304339,0.47752848977278584,0.629923248280853,0.4520036212180261,0.4783747811713466,0.6761977861629885,0.7912101645297105,0.5350183055954323,0.5989607762577009,0.9377801978816145,0.777856181705071,0.7069583024104101,0.8795562962191702,1.0893003625335853,0.8516236905360927,0.8756974029522958,0.8864369964196932,0.9388368487289585,0.8178507690883894,0.6809820983758595,0.7827259131689102,0.7315711743835277,1.4949413073597324,0.8472449786880066,1.4215369396749569,0.8831280092799814,0.9110432849410487,0.9324258590096962,0.8002649181786877,0.7216885985127367,0.5902492392300565,0.6432466407473079,0.6447614136109844,0.7642658800168824,0.48460126642656637,0.8054529433240657,0.8214152549235219,0.8181506430690486,0.8927137180240532,0.5094822179145923,0.4836962202739647,0.5803901005899138,0.8092775807231791,1.0780568394751284,1.2250971646591373,1.3469952550743318,1.0346356499441303,1.1064543848626232,1.3219332320418251,1.2008705185585384,1.1471072211080466,1.415470215059783,1.5388228059347788,1.2807282358997765,1.3052187656182388,1.5352550129755393,1.5997597260292398,1.256486030675471,1.296721120375552,1.0690607743174387,1.0699518356517035,1.018584173678469,0.9239911988775108,0.8740340335246689,0.7522878869977557,0.7116993817795524,0.6443347517057783,0.6321709404955711,0.5529107129723033,0.5936318170626961,0.7549608666944476,0.691793521807191,0.7044937601301795,0.7126976190196067,1.0170872927134074,0.9461748966245251,0.9619916782495153,1.1622856778037252,1.4037479227252494,1.2243346143234999,1.1833765523732767,0.8851100093510118,0.7187796549679483,1.2606632138915939,1.0308289227769671,1.1776371555571186,1.0288081430234302,0.6584723603897907,0.6007420572082345,0.5004102610585847,0.6955018351573664,0.4987070155433227,0.35394378971851626,0.4190589567543629,0.701831152214744,0.3596875543371765,0.45922429971326756,0.37220997510791576,0.28678067524546264,0.5840873866513795,0.7490110835013127,0.9016867859397238,1.1175791199931098,1.6114724465563979,2.620816942450045],[1.136964153127394,0.7018460739987524,0.6006785315549935,0.47222128675458824,0.4218638653969403,0.3645044878311734,0.23430587517059145,0.3399450022688673,0.31031135324226916,0.3192942892980037,0.3779604052484483,0.45602040352340384,0.37946171806691636,0.3763067676322963,0.48156256512290035,0.42356389503975894,0.407171690761491,0.42588603254977603,0.4601555348146998,0.4723818017846065,0.4674512246108788,0.5006582122084333,0.5893310661002255,0.6555464952168597,0.6724182497190176,0.5140788545619862,0.42509226434064673,0.4007029370215944,0.4270264080735302,0.3998010831595666,0.45671063824893554,0.4217167854472141,0.47542457309473185,0.4598717766847639,0.4214862005659852,0.4154086997138798,0.4118475766715325,0.4121630662375829,0.37088438994921585,0.37512247749304206,0.4357471582537881,0.5054244159776029,0.47419533838855776,0.7447520130585297,1.26155082112148,1.7355383521965422,1.9430297020476108,1.014470976358833,2.322677045396066,2.2484964534464567,0.98823095386965,1.9205169848109094,0.9652259622308564,0.599005245428822,1.6304364016190294,0.9424152646078002,1.4180227832103984,1.3974520725339286,0.8793574372777901,0.8157825845596484,0.6385559604318962,0.5996520434633427,0.5509110240417354,0.5429209790081929,0.49067074961411367,0.4807593023479244,0.6791923105168896,0.5468934166599773,0.6429909650563473,0.5707725207894091,0.8113124393034484,1.1067266309074582,0.7492649062095689,0.7094912502676616,0.5570534134631087,0.8478388647760873,0.4578939753759989,0.47383468832286085,0.4450512440560297,0.5529801296658442,0.4902333068779242,0.5727891092656433,0.9854734354386555,0.5069288807297211,0.5654877299138562,0.4373440248680469,0.4044407875899971,0.4784382872894573,0.4338784897247102,0.5331456489159814,0.473707677436204,0.6494448501196142,0.519274956050197,0.4488708622340637,0.44549240257309813,0.5333027046068086,0.6087665923253102,0.47222892563193974,0.455894476173886,0.7070062797626833,0.49404164391209454,0.5720451904560333,0.42228087332498776,0.49749955442178895,0.6403823172911822,0.4950376070297389,0.7168400642982717,0.503961814200748,0.5468546897232626,0.5972122275335182,0.3547737676037951,0.28986359428039343,0.27459139448291786,0.34149991300736077,0.34558031659618815,0.4116767404148392,0.41671500539324835,0.4598074152926611,0.4294390921334857,0.4522619556529334,0.42439579861962845,0.3932660529819188,0.36019908728477995,0.3758150248970558,0.3097886571217309,0.3310638993659764,0.396062092548915,0.33547142562968824,0.3413324955589347,0.44813291179566944,0.40085705442528435,0.447776241348262,0.4075164265692987,0.5296406664053628,0.4251792530884366,0.48065837206021833,0.6698394698244452,0.5630568622226158,0.5956222870140577,0.45899897391303524,0.6178590007114727,0.5211642707485189,0.47814332348013555,0.39656555998055637,0.3707243404698959,0.37822900077511024,0.3822183169015926,0.3546507116590815,0.30634042553047774,0.3873743939917546,0.4223568841292425,0.4764068212498358,0.9933373181751703,1.4576551924063583,1.1229791626261358,0.5229276724696144,0.4157935998869475,0.4307024744973349,0.38208752608609603,0.4135304122884712,0.3535458609309001,0.3328819649496632,0.36083785209202124,0.3337064781167612,0.5552520968575108,0.5007793347840961,0.5957702781897539,0.8521629209816064,1.0390055976585193,1.0204327103415147,0.7030317667580809,0.5332720740006348,0.42712262312081656,0.42235702004174064,0.3750628884280827,0.4065431455070744,0.41036819766512933,0.5979631143208642,0.4069037907599186,0.5117637182622026,0.7246834863409646,0.4092040034472205,0.44163893633798273,0.4401432004838028,0.4542524689133339,0.4963536043307888,0.5072990685962167,0.6983724486356391,1.3466972793140408,0.8420674898236356,1.305391688711177,0.9342905609558205,0.839732676748379,0.9558277603109862,0.6766828676728557,0.58021632648364,0.7025950225375981,0.4480679653824973,0.5012088329850468,0.49616366654013017,0.5398763815653701,0.6903839384516742,0.49953354182443704,0.5252610937364174,0.7347383387027514,0.8212487772430875,0.5530202675908628,0.6197341234616417,0.9830992775265281,0.7736194342247569,0.700046766760358,0.8782864116752536,1.0804972956843941,0.8392538971428413,0.8387164879155317,0.8363857751262929,0.9403203193140662,0.8138270614387587,0.7014509458870206,0.8035631658677086,0.7662810517919486,1.577727108727777,0.8841050431158318,1.4931041635391709,0.9592999967648905,1.008678885323892,1.0353497500220312,0.901940661121754,0.8110038119540415,0.6514564379644646,0.7193913346846226,0.68315995455926,0.7857674252702083,0.520245322007552,0.8061344536223951,0.791952729873116,0.8229632540692761,0.8654163306097802,0.5282955682473526,0.5620504599240905,0.6618946015317833,0.8762630242273882,1.1577776417638377,1.297681809140838,1.420401023741955,1.124395324608759,1.183285373254059,1.3830374442776037,1.2592608375966192,1.2206297851379977,1.495871644182055,1.6175359310411481,1.3433457696757374,1.37189601493269,1.5967896610599308,1.642214872239112,1.298662650006486,1.349533287483467,1.1190400582004858,1.1388262946514123,1.0922200415933452,0.9963793495985146,0.9427958899348647,0.8006788964542167,0.7687988847794323,0.7051691412167158,0.6728617264821706,0.5948526102574949,0.636510068372144,0.7661983798918672,0.7023552776416406,0.7060755541203645,0.7126646718043794,0.9948303653424524,0.9205748282074936,0.9579351232121508,1.122021937422629,1.350040880261395,1.2425141492186822,1.197118005257266,0.9071010261105773,0.7735680099892898,1.2993331503956422,1.0685892418946599,1.1603128778737504,1.0073738262338434,0.6580423385560709,0.6313834103533714,0.5370058542155651,0.7240483858682358,0.576000388696338,0.43477012600250126,0.5111074034346951,0.703397414623383,0.4124289335993112,0.5327546647904358,0.47272772294484655,0.3558131354791953,0.6553850428000187,0.7610566375726586,0.7435985794252866,1.1684707307573512,1.3777698759939563,2.359667103489489],[1.2701453941853404,0.6826847436042239,0.5842447303148541,0.5343540296098472,0.4232918204364415,0.41843336697574623,0.31373187407035097,0.3465727738885533,0.28511767700338764,0.2814417954980851,0.36034674338236095,0.46345467867965917,0.37411622558083674,0.3273665174051885,0.5150683161211739,0.4417954541997159,0.43206687993210763,0.46862152684113556,0.49914531942444734,0.49103706536428016,0.48413869771982965,0.5042071470383757,0.586861011963702,0.676661683615803,0.6374562085335591,0.504848212774438,0.43370426229893394,0.41549214917410854,0.4391953299633571,0.43079055406278866,0.49669574164619035,0.45257933396910177,0.5464887010421852,0.48821497371514266,0.436087306102385,0.4365756324820252,0.4368374302001449,0.4229453545131274,0.4060059507389736,0.4109378554526345,0.4461556689065827,0.5125820622821293,0.5024625222274668,0.768751699632349,1.1682750978847387,1.6559517533982684,1.821373679702729,0.9848531297080853,2.25618295534833,2.1305194663359095,0.9452748751739427,1.9518291880454346,0.9508175993860037,0.5946077391268202,1.6338029174249946,0.9721373266498858,1.5591583235632849,1.3991377787880874,0.897953838210575,0.8162489420569361,0.6484461735820006,0.631041009336848,0.5813670175657356,0.5793592233014774,0.49255181901912104,0.4734977860645024,0.7061036473021235,0.5731024772256218,0.6720498334380155,0.6069518580045059,0.8612486686645706,1.1738901845162257,0.7983107728018721,0.7767099021738031,0.5863324711120406,0.9971130958850027,0.48004398880666477,0.49979627882288097,0.46148279598941033,0.5394462860186363,0.5276565416562865,0.623307085569,1.0552671822897877,0.5675239405071866,0.5731773461086233,0.47986352518378816,0.4336344738169022,0.5036066523958674,0.4335637914176526,0.5464945538175396,0.49961335878622887,0.6990873393835936,0.5664487510137274,0.5202332309635767,0.5081416189557019,0.6092381332443323,0.6478263369872608,0.5265083866886,0.50233669090808,0.7016328221256488,0.5181898037822695,0.6072211923500311,0.4423431819748786,0.5355690878730482,0.7210986671941964,0.5656253880728357,0.8006170457627529,0.5829826232426849,0.627024403227731,0.6556522368803849,0.4324549822528595,0.34833484980821783,0.3128166805047002,0.3664004603177079,0.38155558331208067,0.37604983743526615,0.4046135334575242,0.4680937068580335,0.4361728818795717,0.48552328234144265,0.43088730048141927,0.381345010439372,0.3872657468999155,0.3951014945237952,0.34576176104376993,0.37156281042466116,0.47665616686779233,0.3956013038728866,0.3974949306235006,0.5311743905257842,0.4337771505062495,0.4725322328457667,0.46519675191265025,0.6144730764590353,0.5124840292323001,0.5585542044743524,0.7441335745762329,0.6339099810404855,0.6652598071632398,0.4895058232899426,0.5903749055254767,0.5427630098371128,0.49141278361470714,0.39611291375063135,0.39030685991970077,0.4034704625075109,0.3976864561766922,0.4017614000542805,0.3376917046818099,0.3987842799959358,0.4119244540392347,0.4859672009789953,1.1149449906845712,1.578854029221226,1.0901429079112261,0.5545739955930609,0.4347585695260139,0.46927594232297426,0.40908489719313,0.46208749264859494,0.3959506654223411,0.3743521190842822,0.3918616193302079,0.37413419752089044,0.6200065881837201,0.5423328589184079,0.6365003340888244,0.8832112796666658,1.0695367883994522,1.070026598189987,0.7448773384787991,0.5870527498307097,0.485973807458136,0.4525081664713803,0.40791618248820544,0.4539613781391007,0.44352930661467105,0.6889949234074667,0.44814543097606413,0.5825530383097445,0.6832644723041768,0.4690082840095205,0.48325992915390115,0.4646535705071823,0.4853516581050796,0.49547745545424715,0.5129967814963513,0.7245762635663329,1.3237951164395871,0.8517378922530894,1.2808516181069163,1.0312390029102334,0.8998326479595217,1.00713322536604,0.7362036131027229,0.5812966436616899,0.7599618617377472,0.45196274487711474,0.468324217680468,0.4940657252163521,0.6219282433204634,0.8251091986588278,0.5637887678899455,0.5325520267594669,0.8437763397880104,0.9006932582612274,0.5306767736867949,0.6321639604908503,1.0892463945592894,0.7742774079891785,0.676629807281052,0.9098838348271071,1.0928478202245029,0.8289536500153097,0.8155835299392198,0.7874608242008054,0.9675659622208939,0.759674288411391,0.6983784565133841,0.848362769711849,0.8321566416425228,1.5738560211647603,1.0219960786966167,1.7037501504041015,1.101309003551838,1.1843634552477809,1.2176057927756454,1.0997598210502026,0.9404079586507905,0.7653240970866587,0.8917120917889676,0.7916582511906782,0.818514895938277,0.6013821230575879,0.8768714986743308,0.7213760659009204,0.7416950311972653,0.8064561312398325,0.5086854970753453,0.6679016645258522,0.8278166537932323,1.0600679135359947,1.3709092551732043,1.5406735813848889,1.6618525551527825,1.3241124509069382,1.444407831122426,1.6673063599999136,1.4810704476166174,1.420152305766618,1.750404763421795,1.8650716851041207,1.517575496144169,1.5889054025587808,1.845094779267557,1.8024195017781663,1.441837871984283,1.5471963793438086,1.2745787597789222,1.3338633574511256,1.2836785130018802,1.1866707754765549,1.1031725524680214,0.9071692613463901,0.9075009733586517,0.7950827368162536,0.7178331242737382,0.5947763165410433,0.6437311588498552,0.7453634805266643,0.6260165108391544,0.6345488779806073,0.6408594302680266,0.9155730635943536,0.8275368660894045,0.8898985544858505,1.074953192217545,1.305372891790157,1.2392952598167766,1.1490650198235934,0.817121133305299,0.6881570698791944,1.241482053564141,1.0073195978816547,1.112026171186014,0.985414746864079,0.6159242986183135,0.5764193289896156,0.492557172757906,0.690724704423311,0.4772204517478784,0.4743436830139726,0.5043244154214499,0.6356978889777495,0.48425958779515377,0.542048596833283,0.4923382236607413,0.4069400180320909,0.794243335062541,0.9538169284951477,1.2799393794420193,1.3823179991997034,2.059743089356092,3.086845573907642],[1.4728249549798889,0.9279635009375992,1.0951943633482302,1.0859464139083346,1.2454917979312425,1.33139607435982,1.2374043209557737,1.0441000069278776,0.9869755492678417,0.9623272897687876,0.8035975694368935,0.8060024307744899,0.8868192255406617,0.8817091984044857,0.8986624866256557,0.8658398400975453,0.950989886260368,0.9350627598493534,0.9679799229301445,0.9730742100655568,0.9835010138096808,1.0302816222851374,1.0120387666338309,1.1048386626523674,1.171568990780999,1.021983947223884,0.9964153329735084,0.9878703462643672,0.9677874761046995,0.9286093913348126,0.8451472300651398,0.8280596437891745,0.8108712052461047,0.7540940537878005,0.8200587816002881,0.8720505842792705,0.9203480335819526,0.9537582145667303,1.0275091116223674,1.082150534303439,1.027401062730196,0.9632487668482822,1.0149914383358953,1.3102826769605873,1.0655609105120976,1.687325495850166,1.6160204919702759,1.4525247424175336,2.7573375497541917,2.77012805533019,1.5719930482324254,2.460462165404762,1.264642887751638,1.0775483312755216,1.7270012976036555,1.2909094385702076,1.9612575198728124,1.3678195961097717,1.1491666436337773,1.1806894550446778,1.0620809365973003,1.0233609998950104,0.9528371732608343,0.9417317348170318,0.957836200096355,0.9409209970743191,1.0120838603663425,0.8888046088642039,0.9604154658671856,0.9165689179252798,1.0839733932847764,1.3558097275737864,1.0384584807509742,1.0214959821611056,0.8806990860326808,1.2291508835930884,0.8445742733689455,0.8085980948366803,0.8487352435750598,0.9249776236819741,0.9583133624663219,1.0409775219752435,1.3476541186112039,1.0928254120445704,1.1744334622010701,1.0364617679555825,0.9916205719339968,0.9582867392206724,0.8640990719827468,0.8522481465727382,0.7904423551106546,0.9499044682816428,0.7805862732535175,0.7776325789288582,0.7913202010807618,0.8189396632623445,0.8623531037313477,0.7840533711365733,0.7848688626214494,0.8560713448652176,0.8349224865245525,0.907068763271425,0.899043594269232,1.0409679552800006,1.1590742500057185,1.1785095855383434,1.2626164569207812,1.2246560115397958,1.310648453942301,1.1981208968237034,1.2099769843600494,1.1530460032486054,1.130615311716449,1.1365038981761102,1.1210700776833051,1.077261570815284,1.0149948710286347,1.1874721632992042,1.0545051641999563,1.0253955069643705,1.0414231139952401,1.070515035580667,1.0596961454583915,1.0608406481503536,1.130528090678263,1.230748333756305,1.4142309163917632,1.2362762088748744,1.299002114977481,1.3554109026277503,1.2790411100338444,1.2510215490149013,1.3020921077698149,1.336878668473088,1.395481250701509,1.4326277627798192,1.6520824266359138,1.4893784219828161,1.394889351710819,1.160722139185062,1.0933044939335315,1.1608501503507054,1.1270049871805783,1.0944893641500277,1.0561567323471135,1.0333061823393916,1.0408130706143774,1.0667102498707584,1.0508410301374773,1.0149201725807493,1.0008576307565749,0.9048972835801461,1.3581724785474854,1.3730337755723392,0.9600252557951542,0.8058626250205138,0.8526787928776907,0.9519526080548755,0.9176513658644825,1.0977711534466787,1.14291312325135,1.0677012086991082,1.1760540088691787,1.1303774114000151,1.619875499092785,1.3248948774742504,1.497466697156837,1.6621376680314859,1.8568767649452376,1.7851415430642668,1.6049627080845816,1.4636944974674873,1.3795826639465634,1.1191602788055977,1.0351387007084676,1.0238278200627744,0.9689071279397522,1.1133401412665316,1.0176814796701448,1.181084360166228,0.9912994472149435,1.1569139235477741,1.161906138330141,1.1563488178191947,1.2004019550620908,1.0494606125548382,1.0924995405506022,1.1569362975130009,1.7384849591312326,1.5052605225826787,1.5398826069700648,1.7469404617627318,1.5525631052756095,1.5505830771224425,1.3508468289054463,1.4185273228810749,1.711569235632736,1.3011408312824182,1.2643430385728993,1.2780407471022293,1.4338627274385032,1.590138117254772,1.3598138666239223,1.2882682448160712,1.5573641106314637,1.5664192744992027,1.1615610772405418,1.251013606489863,1.6525722208121145,1.2860798287430346,1.1277085368012298,1.3196373685309262,1.4259781499701782,1.153231410904704,1.0860038434572363,1.1208068493752128,1.2308000530781746,1.0652178009562037,1.1383575105867796,1.3222407229830624,1.375330028478152,1.8992736031790145,1.5727717608335132,2.2297788492008395,1.7758330105572926,1.8880301924343443,1.942028345802162,1.8469486762944327,1.7161592462319595,1.5592501391098788,1.6556374107832457,1.56446485933801,1.5285040073369802,1.394961388965018,1.5098005213500834,1.3627895592891734,1.309311074797573,1.379326683035578,1.2521356587368657,1.5215690028180826,1.6705723532720294,1.8002514410132322,2.086549245825793,2.1970503536903725,2.3141017169186533,2.06475316493723,2.121420812903931,2.267409770337057,2.1235764602296556,2.056026222336397,2.29818616008114,2.3719877628617345,2.0585330597080924,2.0838611685937645,2.258984799646704,2.153993888972551,1.8349463179740568,1.9469421794441486,1.7420575952287773,1.8752712374350717,1.9012448204467107,1.823283695903537,1.6829028193754814,1.5391779212049468,1.6218941406003726,1.461741874587771,1.3373286746391575,1.304208682109581,1.3459684450766198,1.2837100988799852,1.1499761275398774,1.238520043800161,1.2293158503456016,1.2799030960702649,1.134248646933288,1.0672511645003269,1.1002961966654796,1.2179083311421002,1.3194532398253334,1.1184157082758788,1.062711852307754,0.9743304607326775,1.2037014560225816,1.1415674739296993,1.1492976964221402,1.3024589330441616,1.216799477658259,1.15558854416202,1.2189874825051754,1.4663152841150162,1.1326555094302688,1.2222203917222982,1.09678609878234,1.041759264586608,1.2865133601375032,1.3101651726155643,1.0869317187835268,1.2076400452972675,0.7960387904762094,1.0731279859782907,1.4142554246984862,1.7260780093319725,2.5328529345995374,3.696332141471393],[1.5393522947125342,0.7756928300465911,0.8328263082482251,0.5010201275704664,0.552534181063574,0.5439638532267236,0.4668332296491625,0.611309519778835,0.4444994541929462,0.40201752262765605,0.4980124292834328,0.6595459496419096,0.5475594625291356,0.46641287049182895,0.7679739600102078,0.6810061523477279,0.5752279927709796,0.6609839394655853,0.651323567926916,0.6426494097209283,0.6344778900666003,0.6531650700693917,0.6798264625775062,0.7319093693803658,0.7371462379374125,0.5879792365932116,0.5468671012181862,0.5361974647735804,0.6408911337752645,0.699231247303102,0.7508218480325873,0.7682797610345559,0.8697945026274182,0.8116429743378677,0.7691319007286022,0.7079894483850986,0.7819027961271591,0.6795313909891186,0.627773796561737,0.7225911153847048,0.593491498948614,0.6331326663802361,0.7019282505043329,0.8988544523570675,1.0339256363924818,1.5799783065158683,1.6395410562550625,1.0668467203823704,2.258644188358477,2.1339513265481744,1.04629566322103,2.0258545251849727,1.0760767485871767,0.7650340781145575,1.6871235906921813,1.162514477328916,1.9535715228914048,1.2979867171197077,1.0466341790207305,0.9106867816569791,0.8035565142804644,0.8610699551165021,0.8335696153648479,0.7915910053234823,0.6826979267596636,0.7005140494442929,0.8165751418711792,0.7233389353124101,0.7991252418557709,0.7914309150974215,0.9878464933690376,1.357780113630826,1.0202631934698003,0.9735684591349744,0.80154459887028,1.2407776860522008,0.7503441399320009,0.7789284112688046,0.7777131182814261,0.8104008316419131,0.8789147068262033,0.8817303425137508,1.272457886708958,0.9250167449492783,0.8403288231312154,0.8100877803331975,0.7635713238495967,0.8498682280799281,0.7076390749232562,0.8346307792075672,0.7659186879684662,0.9670515232673316,0.8260817907145288,0.8511623788309429,0.7960504221139129,0.8984384436488176,0.893350714519883,0.8383034963312235,0.8199980609602138,1.0279267695103134,0.872222359377394,0.9971717719195355,0.8664842524333748,0.9946199500901481,1.137648607384238,1.0229950591746977,1.2523056421090697,1.0333971197467868,1.0279803448889429,1.0465594989429257,0.844805775216564,0.7050769796640108,0.5721481129042939,0.4970854539908672,0.5101281606830176,0.3988747688266307,0.44100264674967393,0.5280940846086435,0.5369090264616324,0.6195064840790562,0.533786814749023,0.4859686373646406,0.3660771689797914,0.3683863270963251,0.35313582895663953,0.4482700890791405,0.7322602386078396,0.6328220264801012,0.7253370872992517,0.9143605079067377,0.7482623524177209,0.8841495301393872,0.8144730445391362,0.9876485222908417,0.8180869063924283,0.7873500481494647,0.9050663340456644,0.7218412938889323,0.687428200876206,0.5140947331735171,0.5343076572052328,0.5399659591526003,0.5625687607249482,0.47611601515792706,0.5082135057107118,0.5610771054394905,0.5225546071852771,0.6079261689278652,0.6494330692528422,0.6605024465426015,0.8008474588923332,0.8146181799977137,1.4321485543225319,1.6341636008380631,1.1147731614476162,0.9270901302288826,0.8071074727027538,0.8838769327555344,0.7499555092595398,0.8511860569400561,0.6870514846241658,0.6641905128537706,0.5882757337450271,0.644184221835761,0.9580372366067988,0.616408988344215,0.778410868244623,0.9169188123696487,1.1171081945349737,1.092100394693006,0.8678772321886191,0.7360698606966534,0.7609129975904091,0.7120695410230837,0.7225627013029079,0.8353627895513174,0.7916763608641658,1.0518094464592893,0.8081894164706378,0.9879598455892509,0.8014106440229989,0.8492094427107952,0.8381081587117485,0.8105465266741854,0.7710223712346601,0.6648055575032498,0.6695088339882402,0.8049890569634511,1.3192575210823982,0.9454086368893553,1.2782790870519574,1.2186770650632177,1.0338903436887201,1.1300885631499789,0.9727296470102481,0.8530427483585221,1.1283599804923872,0.8471617354353961,0.815804197042825,0.900022838434957,1.1480273429222876,1.3702544726049726,1.0095181470213863,0.933115490080483,1.3327440168184206,1.2898912942765965,0.8138179875696392,1.0121361388940935,1.5223200733760014,1.0550995946328257,0.9876395414855637,1.220005758012124,1.285078469441662,1.2002594307046215,1.132785786081001,1.0631361149534921,1.2686421146452382,1.0118622593468827,1.0440151353959686,1.2548640538371834,1.3109765815113463,1.9754754409766788,1.5364015525550008,2.2062722462716713,1.7094939918021925,1.8720724634195671,1.9073391687386854,1.8354650936139345,1.6091207108250296,1.3882330775078804,1.5472365590834363,1.3824118512487524,1.256681454524319,1.1295662871055663,1.33845402614637,0.9877537025625641,0.9449202312416195,0.9633562844935901,0.8747312524799652,1.2203099290665491,1.4694699068313208,1.7033277629726282,2.0786174966091253,2.294906892213644,2.403657901522676,1.995135233050145,2.1807540620199246,2.427968505516972,2.1396485850874485,2.0047136567677812,2.409071410018174,2.4789154210635185,1.992902989065429,2.1561695450175855,2.42339361816113,2.1844768037859854,1.8485580806213644,2.0540046050871057,1.7683287659257954,1.932059280063403,1.8965989315951828,1.8405545826118257,1.6826329449493376,1.4132972528439331,1.4922960623453267,1.3417057443981324,1.1849695072078164,1.0426612507391682,1.146275258225134,1.1015210749496305,0.8894884892042505,0.924132823959213,0.968004472259582,1.1025983361386307,0.9524112487712585,0.9841989316358594,1.1481898511806714,1.3284675828226897,1.4216204233987273,1.2535772364651767,0.9586052048950675,0.9054104681944228,1.3351766180904372,1.0813872518262186,1.1117212777047176,1.0292704639731247,0.8120311259268097,0.7144475997629571,0.7603621591448828,0.8878961706297761,0.7086213465786251,0.9560003874152551,1.0239901088498633,1.0053721461340661,0.881530294421861,1.025577812919412,1.056699189699042,0.7815130630134249,0.9457933313940453,1.252804670421887,1.8792137153096369,2.5602459143095895,3.689295301218204,4.475879302031365],[1.3774248976654948,0.7286338382094771,0.6516197416736808,0.5172146133212121,0.35683714973352043,0.35750109744987774,0.282000497935136,0.36227725667284205,0.3880500832186939,0.4661543551717287,0.591146716505892,0.6422032919334758,0.578997604206451,0.581581332382132,0.7984038499886826,0.6866721150069994,0.6377999550020714,0.7374039056137899,0.7784808765708949,0.7213611523462297,0.7350497598149351,0.6971805095627802,0.7807971895453232,0.821381798003722,0.7688425376593381,0.7143120445136844,0.6384969358458232,0.6149374172319428,0.6613754440667671,0.6544193586756429,0.7757227809251968,0.6820861723316329,0.7830057554414608,0.7384465219197727,0.68110298901884,0.6886976117031259,0.6612665093980589,0.637815818569526,0.5836430590165614,0.602810370769627,0.6093524390594527,0.6950306028086048,0.6982952684082988,0.9282022508206842,1.086868687151483,1.59133347796482,1.6577713267280516,1.0914836438924056,2.188199343488504,1.9895400043781548,0.9675889632606204,2.035005885837113,1.0071733586924532,0.6880360056692215,1.6505645929910424,1.1356171372023118,1.842698885281478,1.36294408431714,0.9196759089163458,0.8758318877812142,0.7790336552242921,0.8603048970699754,0.8257054462245289,0.8228934092322743,0.7170286585368835,0.7080951913200659,0.8849243996275299,0.7966698444652811,0.9038655840239717,0.8790453090731332,1.0622674298046173,1.4286347504908585,1.0936567039208303,1.0564051220904564,0.8474942103029955,1.2514761188894044,0.7451501838695785,0.7444835033895345,0.7162653819377444,0.7320477661138999,0.7439339217352045,0.7960068451963144,1.1386995227161392,0.709593240347436,0.728808504761957,0.669903855600414,0.6490437538512431,0.7127488761534722,0.6743657034402512,0.7740806456727677,0.747532783458128,0.9479005315835034,0.827862250059501,0.8066466646554712,0.7912479600324422,0.887324446885198,0.906561312354548,0.77411301704099,0.7191682311266652,0.8274460705593214,0.6905178408663032,0.7026358325539743,0.5945069918984951,0.659596141878262,0.8809321810234274,0.5753717390759026,0.840983340952987,0.5712590747760318,0.6141883658020675,0.6653365552703061,0.442427820488034,0.37002896594237955,0.3636437268465385,0.4321122635913565,0.546572878156593,0.5064860005677736,0.5708171985657459,0.6021586730581553,0.6777385406984737,0.743988745323971,0.6694115368208182,0.5980361105453286,0.5281314895816972,0.5257298494945192,0.424575169242589,0.3738660992450996,0.5039738414229799,0.37654671565038966,0.3752291285710289,0.5433565008345265,0.4141487638439266,0.4835062814828492,0.4459616162302477,0.6550010270555702,0.5076862370935219,0.5264062574408127,0.6578567394216062,0.6088165609055696,0.6894491203096691,0.5409181748898887,0.622747271594004,0.6586056347127967,0.6685848251551535,0.5326892776218947,0.535266635517252,0.5498864074480214,0.5234448988253022,0.5158107207491279,0.4563862814081998,0.4735641768062778,0.4697140459907637,0.5623207655927726,1.2481586642975278,1.7649494373216696,1.1074199904599056,0.6850241243838945,0.5966228381637934,0.5918224948212414,0.5556376123377943,0.5809238798863844,0.48858386049682107,0.5195618923646816,0.4847472998061895,0.5157860880258908,0.7905240035223567,0.5758728079344019,0.5885803582284993,0.735877083233888,0.9213764790761503,0.9556633217877235,0.6807885818866511,0.5799539119592199,0.5461340731203614,0.48527287459315294,0.5056195616821085,0.5683367382040672,0.5938619285061078,0.8502265630394257,0.5941416709875068,0.717839449595157,0.5915922019191582,0.5236579108064848,0.5220137702511807,0.49355078491320004,0.5056342228194173,0.5555695944092786,0.633311586581738,0.7843518421156097,1.3389960025286742,0.8827745012960861,1.297758779289203,1.0867476476369216,0.8326681515581758,0.9271464829290819,0.7182786125605611,0.5661887806963738,0.7874661326214959,0.4410590687064792,0.44382055527385555,0.48653190921442613,0.6557422991053993,0.8701288725787177,0.5628432847663639,0.5339133318688807,0.882945415294282,0.8860017793624639,0.5280069321369246,0.6599989128897,1.1258855012479179,0.7669559416869857,0.7354743295837017,0.9532282588339346,1.0659624998931287,0.9673991358666676,0.9208894813953048,0.8429636248361679,1.0542073923002755,0.8037270816965453,0.7607975543537868,0.932574558270857,0.9261654675567894,1.7292843851307134,1.139846449172956,1.8204838080202648,1.2227832291706944,1.3408525745171451,1.371702104315345,1.2898116474580141,1.0715365622105624,0.8614753935751757,1.0129021816548986,0.8790849284672309,0.8417041683278433,0.6386912505899435,0.949687046864857,0.662491233328361,0.7013154496118814,0.7489428592008615,0.48387264250781636,0.7177227579263233,0.9325551583000414,1.1818496525478581,1.52175947823653,1.7567201541264246,1.8430960691606004,1.439198269617669,1.609261868627097,1.85380511193952,1.5981041757004837,1.5043543234952372,1.883930373782087,1.9650049857490142,1.550921831887347,1.6958985693804103,1.9687367363390587,1.8198328173092833,1.50569863841374,1.6733392643155474,1.3799961388547681,1.4696437060626233,1.3999166426680785,1.3304303361565362,1.2358683894835412,0.9849428547701271,1.0040205364938104,0.8929987867794841,0.7912298956449993,0.6309664043446802,0.7090270961696851,0.7869414396146136,0.631977821092731,0.6061127948279549,0.6430438681606314,0.9046192705592859,0.8084189961634269,0.89067518597684,1.0787368994283235,1.3140529592281842,1.287342953614043,1.1773029740408116,0.8474364365467754,0.764847949652971,1.288549386647109,1.0414183911451569,1.116596489940659,0.963667351314101,0.5850071619771634,0.5377298164386469,0.4741691747861214,0.6528837006628244,0.4667295726702259,0.5297712965203856,0.6036698421269819,0.6530439827410524,0.48200551876776365,0.6574473844236534,0.6555977575821486,0.42203301584686276,0.8871680516244994,1.2348280982287874,1.8090699588208612,2.0968334100129726,3.1990595744225865,4.056698855844493],[1.3784634090590189,0.694528672936164,0.6405934940472899,0.44842184817582,0.3738550274389838,0.3629779103860355,0.3021813398146961,0.3646623893707033,0.3417710923796291,0.3486813057657186,0.43562708729732125,0.5451417452603204,0.46317770622853854,0.41385346254869754,0.6661876997720089,0.5609532908899814,0.51686722283159,0.5877748059001341,0.5971973316135828,0.574563683325284,0.5750520497115819,0.5789842260513708,0.6572463024572206,0.7383937312638097,0.700838807406032,0.5671704401616267,0.4964114884680481,0.4935742157129871,0.562534952317208,0.5624198596025357,0.6144001847929527,0.5796517201677577,0.6565139367108838,0.6068415136819152,0.5757810781985809,0.5655299669610657,0.5852848954042272,0.5454912291863405,0.5006737505751051,0.5488394984848457,0.5125791112150441,0.5752041115818834,0.6174847194087033,0.8330865604457854,1.0094337866522325,1.5182228471936294,1.5793132366074478,1.0265545459597645,2.172514572541794,2.012787363831628,0.9320556210251694,1.9648581966255538,0.9712367534905818,0.6264814459245815,1.6543917698411206,1.0599033953444248,1.852190780901698,1.2893125314042395,0.9127589557475199,0.8077511071727015,0.7131214885161056,0.7579692354135233,0.707788627126436,0.6824358186556153,0.5839177820859104,0.5904255117112153,0.7837727126630742,0.6568158700552952,0.7586016709395214,0.7229860445447014,0.9632741424329163,1.2942818719580849,0.9028986794829695,0.8608060947197747,0.6997840606755047,1.090175061761401,0.6241321798646549,0.6245900916932808,0.6056909628887478,0.6452803663897846,0.6840347301518154,0.734903169052925,1.1278339933089494,0.6970984111601412,0.6707760846561103,0.6213187539031428,0.5871133077115919,0.6439476736236078,0.554366882934019,0.6645780893865357,0.62337797008341,0.8142564782426597,0.6602393027409159,0.657381062580812,0.6323755886844731,0.7150791111026715,0.7646734441232754,0.6491507524064006,0.6215337454545711,0.8009885972660779,0.6163387909952888,0.6793927538127503,0.5505987808783752,0.6350171433468207,0.861334556873978,0.5948682488519332,0.8378241901704901,0.5658456442468294,0.6054034021650534,0.6505096833577318,0.45039179209514363,0.3922817945271167,0.3535689897562157,0.39337768480589386,0.4636036229155087,0.40226093946605285,0.4273524640937667,0.52541629313125,0.5176430224443094,0.5880387991911982,0.5190618936759762,0.48483032645250423,0.37006638399606473,0.38161714955929765,0.3464179924640824,0.35176136896969884,0.5791412913091262,0.40433088702070824,0.409341657673873,0.572208104173133,0.44635943187618843,0.529205898356944,0.4806591251450192,0.6737797965260139,0.534609084641444,0.5438758933807443,0.696880656222753,0.617832440905107,0.6831327072600759,0.472604259312753,0.5273260272571493,0.5292364241461764,0.5588168514627926,0.4428185095376278,0.4532067509192199,0.4749559552863434,0.4480426546327048,0.46562866508804424,0.4342092289751483,0.45974457677278063,0.4705626253284641,0.540557800605048,1.197827715264424,1.7362747191723256,1.0746077263089364,0.6231921209904492,0.5401589451463552,0.5639317030463709,0.5062945735386466,0.571484835733946,0.466488783030951,0.48645419674798507,0.4430670648087091,0.47146984515400164,0.8151415942362441,0.5283836089251078,0.5860903782866027,0.712987104309045,0.9057554066595146,0.9438712105057919,0.6869432583396129,0.57160210176317,0.5459035327468541,0.47465163345979156,0.47932128689609277,0.5568504070467526,0.5586773629883,0.8183643026738252,0.5638798666814073,0.7096280724352182,0.5771875952235201,0.5261371706567302,0.5193334765981412,0.4975993494232006,0.5109569168410472,0.4849545076891701,0.547190996769996,0.7358122070284363,1.2663277225651026,0.8356569315149636,1.2597334394010715,1.0905215296042203,0.8270201498885007,0.9267201580517306,0.746435548791302,0.5800437643773335,0.8517416031346873,0.4790368325647861,0.47634879411582387,0.5161973538236787,0.6338827544559011,0.8256995275252907,0.5502316252606663,0.5146570659277359,0.7915495612837802,0.7763344050843995,0.5021981871116363,0.5750764548507359,0.9523966725888258,0.650298121881243,0.6771833579449621,0.7972322934879209,0.8871610158529961,1.0016934883071424,0.8557153383748051,0.8097407992626917,0.9358871023418814,0.8042042249324793,0.6993716663606548,0.789960977600784,0.79196757855021,1.724760021437822,0.9828317623931536,1.6867482004560337,1.1079060920734545,1.2442628058145975,1.2995177400884743,1.235341163296566,0.9996764782332638,0.8065849244567267,0.9758251365477277,0.8525729191683904,0.8121126511363165,0.6302798259007475,0.9705441859238617,0.6412273614878965,0.7056841735445838,0.7622669117502159,0.49607598932037983,0.7371225736992325,0.9261821807940475,1.133907654031248,1.4625961342901845,1.6669392618334642,1.769674609686344,1.3758543011534374,1.4741128069758773,1.7190614872812167,1.4968042440206835,1.365378360367489,1.6845658125286145,1.7498392870726727,1.3449951963011493,1.4611382013184,1.6848632321280306,1.535435604256287,1.2494308972476957,1.3984134757002882,1.1544035217501272,1.25906384428365,1.232798059670323,1.175149407367455,1.0601449046289686,0.8503825946559822,0.8952770880748928,0.789089817034488,0.7035573166345271,0.589190233662202,0.6614700662976886,0.7405071927499618,0.6302362545401177,0.5849272338439477,0.634276876503498,0.8850608756389521,0.8218364795401778,0.9018108822526953,1.064048133107913,1.3045448226096084,1.282676711360254,1.2169349092911967,0.9073185421558542,0.8626155810575525,1.3596076732573472,1.0864883234121134,1.103121524128273,0.9332198725565287,0.5753548538014183,0.5607917416683075,0.5112525734994178,0.6798226847901326,0.4958088563570809,0.5221338748070725,0.5632551349237481,0.6461322746616163,0.46822494864843645,0.619900168596226,0.6100646661484178,0.418743822183478,0.8196727595362343,1.3561951624297692,1.7961460098582809,1.883729002747927,2.6350235835585,3.4576190284841712],[1.2505420128090547,0.6748860658792526,0.5521857542635439,0.45373819843924634,0.3853077411151081,0.35841959543860524,0.29170863661676216,0.3042452100911721,0.2988324258025198,0.2855365092012866,0.35059676963478187,0.47590598563576925,0.38228873386434337,0.32566937483959363,0.5556264468711902,0.4707948973632171,0.4289099413532566,0.49104294403410353,0.5121439447332692,0.5066411416383709,0.4955115028902431,0.5143520025415983,0.5986290860003994,0.6701717865938093,0.6599567975967081,0.5100525259350858,0.44121598593098466,0.4263275143983318,0.4719538210371386,0.47249977978114444,0.5152329217759924,0.5000596313811567,0.5692684113579459,0.528579674747711,0.4898060924576507,0.47127960293907706,0.4887618952183168,0.4595627960228312,0.4245264093458427,0.46761435451591493,0.45273389207819603,0.5081256442761738,0.5185236074964489,0.8055485786347825,1.0398619019072632,1.5622924545191303,1.628890651519984,1.0162171920813636,2.206596121241905,2.0392828642913687,0.9173890887564714,1.9814074179273065,0.9545245937227492,0.5825483185603443,1.621871577150376,1.0193853230176646,1.717711883036079,1.3431105491981432,0.9000668077077565,0.7832427330737308,0.6603458434195871,0.6734295403279741,0.6358455379969893,0.6096035331123354,0.5159321739420155,0.5094022022904606,0.6941048024252955,0.5653223922320618,0.6663633123858541,0.605622654787225,0.86782130025482,1.1862853090697014,0.7964525712164787,0.7520459495814097,0.6058989554214235,0.9585287244324546,0.5191577600636798,0.5288164542595404,0.5121400913248179,0.5728445941449899,0.583710442691958,0.6457002427973473,1.0700618766019787,0.5946095465462242,0.6325216019493449,0.5285685988874667,0.49180403819732194,0.5543097026341809,0.4708268769186042,0.5964119474329166,0.5277740254401339,0.7009437796821556,0.5517570383183091,0.541137278574653,0.5221181799493857,0.6008712603682804,0.6547861304668048,0.558430248759541,0.5503782506685986,0.7946721879184818,0.5825877378758291,0.6295361994390015,0.4884751216355748,0.5712347910786323,0.784094011935043,0.520099474361679,0.7669383892917734,0.4808048760611253,0.5134567720597458,0.6198922546783344,0.3757970606708892,0.325579339493474,0.322298175818428,0.37438326573255754,0.4060380796242614,0.3557826960162722,0.37474091358358225,0.49159512782491693,0.4411751467031835,0.5063483562408486,0.4432876206836615,0.41343609321450514,0.33950640641892366,0.35884468773162703,0.343590143471965,0.34999909368162124,0.573987027930975,0.36989522472083225,0.37054627898175446,0.5009636374517956,0.39307152151342417,0.4392431395758065,0.4233180620214325,0.6089108068090711,0.4799693662759729,0.5096433452847998,0.6799285981861493,0.6218376069034272,0.6866186266786524,0.46478638058516836,0.5132400271554969,0.5118466180932182,0.5189756403978601,0.4083852831829934,0.39478212995416917,0.404580143709082,0.40209001023759866,0.41525167164722404,0.3783028936923917,0.3973931566582693,0.4123542434531676,0.5252415454826216,1.1037888363949981,1.721792354631652,1.2621187449075095,0.6025264353959237,0.4914341656612408,0.5111669047103838,0.4531778309968577,0.49768064427518915,0.423719478798375,0.40234548851803287,0.4017111877978283,0.4109455110607288,0.7568592216153054,0.5190947203346419,0.5692158997190166,0.7153554214120642,0.9066876958358433,0.9529315296892478,0.6806653475832883,0.5682117767594544,0.5113421539422569,0.4329548781281103,0.4149145168866378,0.4770595372265207,0.4733611344156632,0.7087280604026152,0.464945804676388,0.6152593007231953,0.5787571272590659,0.47136815488128825,0.4743271794144503,0.4486261370080305,0.466517908482406,0.49258696305035804,0.5284694613592626,0.7080891192724001,1.2964922355888011,0.8371700355868997,1.2714279802496222,1.0982313339837022,0.8307364517807975,0.9222350302625317,0.6886468224763612,0.5722601178805169,0.8226142029422109,0.4106361883688683,0.44417938539082763,0.44581466457429425,0.49645335733418844,0.6667539335030835,0.439403954801162,0.4403015146183263,0.6516927746019227,0.6758039045954594,0.45015710964107114,0.4974770333545652,0.8317493069297093,0.5982602892986555,0.6184653936890336,0.7320479734460509,0.8620884973203996,0.9268929980663917,0.7910761194314572,0.7743626888312177,0.8765673462040195,0.7779123768780865,0.6371463798206212,0.6987575491285175,0.6726485597384666,1.6292393560110936,0.8167919409890465,1.520812478021018,0.9325933583063419,1.033607084439658,1.0819199453546942,1.008607256536079,0.8161532905628505,0.6364654428508093,0.7724491134257224,0.6879198309604928,0.7324134333756619,0.4908537725684339,0.8558276651314216,0.6300929647871181,0.7030696995692474,0.7831692058803068,0.44148979334582905,0.5950920900268963,0.7398638762689629,0.944296980353573,1.2449631461400497,1.424025199405759,1.533779854913668,1.1645628285873362,1.2327268043180266,1.4764730163291522,1.2934863183200327,1.1813530226372262,1.4628620933939722,1.5397443618890496,1.190224937873499,1.2679973111456582,1.4744243593483544,1.4109397202932261,1.1250953300058455,1.2216852598572612,0.9972725414439434,1.0606306501540455,1.0345192188538936,0.9673274892158004,0.8721084283076139,0.7096929190536245,0.7321698141806147,0.6388989565129909,0.5975442083100412,0.5118401524440112,0.5510870678082083,0.6844004868026685,0.6225864784612515,0.576087151373199,0.6139569002554215,0.8812304734325173,0.8357958502525876,0.8979198365204731,1.051042182605403,1.3210939613542618,1.2288602775187278,1.1966722549831115,0.9061088381033805,0.8260832607175949,1.347236920303739,1.081269316403669,1.1135886705868616,0.9325753560257534,0.5580493254364729,0.5428844230329968,0.4944233848115314,0.6721781456165451,0.46424242493712636,0.40296597146493607,0.4437686696456368,0.6657639897818325,0.3472987839318963,0.48897578099425376,0.47083011044587963,0.2906991090928817,0.6469714296961798,1.1964859583793135,1.3747584793238927,1.1796911429883483,1.9571740642938944,3.0004497899202875],[1.1544413081920268,0.5561900798244501,0.5342293093222064,0.3879391545004583,0.3785200885603744,0.3613346972376387,0.2173619409409115,0.3853375130756165,0.27877213400883394,0.26872500897649615,0.35857988015995845,0.49135185291170935,0.39823364715421017,0.297096863501499,0.4423939545707288,0.4344087718274324,0.40071115082597325,0.40793813863072903,0.4149928163852923,0.43672305487667606,0.40988770457151114,0.4710968190650953,0.528070766509725,0.6076434261111816,0.624928820092087,0.4496510675576935,0.4147997366748544,0.40393364274921467,0.422710065703102,0.4381645689925106,0.46100100534918054,0.4797019926324308,0.5088539466160024,0.4844895065121385,0.4678276723604651,0.4408114760995872,0.46574179651378134,0.439594274001333,0.41151962026434274,0.4345832874118995,0.4390960239725518,0.4947843725059586,0.48281161045594406,0.7665904165930859,1.1966429805077867,1.6813836725723745,1.842586739123858,1.0253752988899905,2.282442157366874,2.2151686035884066,0.9897567528175658,1.8723857962357344,0.9430383324993123,0.5876090372296633,1.674933603347251,0.9333645994457198,1.6144173833371918,1.3361130776776247,0.9511337793005717,0.8105405373886618,0.6555549190929132,0.6356786562225312,0.5815907565980971,0.5712967942758564,0.5004210353600147,0.4939351046816196,0.6389595374542042,0.5200193815785762,0.586946084692386,0.5448054031934674,0.8016538489916726,1.0732169043751612,0.7314055741136645,0.65458827065367,0.5611512069600175,0.8246538523372109,0.45606602470139135,0.5074597915832154,0.4795623649519162,0.5875724213878407,0.5439665140521355,0.623240525659257,1.0300714526975652,0.5889132248192281,0.5778206098484805,0.5075342921102483,0.44797554032562636,0.5175873768440536,0.46329511676299556,0.5676307141060913,0.4891807323179697,0.609549682839893,0.5109488192092692,0.4727344045550644,0.45442286837690127,0.519582378847603,0.5862598954604933,0.5077044116717919,0.5087381875382697,0.7436378083976294,0.5540044487967413,0.6544033407785439,0.5148038119453878,0.579139580816657,0.7718917718227157,0.5756801666705654,0.808189669300289,0.5437790708570924,0.5830606397078477,0.6562352400138713,0.4281470863897043,0.3577560124121205,0.33141148212259214,0.3510603519691226,0.3463470749636896,0.361361394324428,0.4068318151563859,0.4400002488283473,0.3596844769747251,0.4486184941719201,0.39865152341751436,0.3724123011657403,0.2911188947171419,0.3319107251782827,0.2846420095365983,0.29936924235084544,0.4811443130961323,0.3882044262717652,0.3995466164749025,0.5009777087536323,0.42023505898927954,0.4810436105079979,0.43678602553729917,0.5838738510654776,0.45148692800037155,0.4679935239257885,0.6603976829850013,0.5386400213117035,0.5865982409200815,0.46082376504765793,0.621375296776756,0.4825021402336173,0.46548096785377996,0.404820760581557,0.3837617971466334,0.40394792650932704,0.4057403603700962,0.4052744869623597,0.38061492666523467,0.43826486433632633,0.4891758877546082,0.5367385580916577,1.011257409863871,1.3616662112954347,1.068724283600129,0.5773862849416795,0.5125986830178798,0.5199339641701741,0.4750282707949227,0.5080944417445482,0.4138120675683113,0.3959974413771015,0.3929884396361369,0.397569961782033,0.6677489281366218,0.4883178291206895,0.57050886792914,0.7280952278644086,0.9421091429457956,0.9380284836494265,0.6755098217254026,0.5338008516646141,0.44210541420459076,0.47638353605548883,0.44511483704255683,0.5132522491226618,0.5115281376906369,0.710227422679061,0.494869401560262,0.5992412418587306,0.723525742991484,0.4833513217478107,0.5001517974273672,0.48998363644438847,0.48697930447910676,0.547110411160878,0.5398903581457895,0.7521947999161758,1.3041954882493751,0.8425798081318714,1.3474575017845807,0.9028604108241579,0.7740791406851179,0.9367018388456563,0.7196056002983001,0.5576982870049817,0.8111721278964654,0.42079386599227175,0.43777948229631336,0.4631297080201726,0.5287806061277674,0.6952740150371719,0.47320734092830075,0.4643169761396207,0.679209125174474,0.7078375368324498,0.4669766814717603,0.519023051083809,0.8495342761878835,0.6166585891720371,0.6269465115514946,0.7288235267875249,0.8618106059009383,0.9471759531318228,0.7771787813758816,0.774715536721632,0.8557635015497929,0.7597826704068055,0.6355088565624247,0.6966919205488461,0.6741578689534499,1.6182152812573825,0.8172037894276024,1.517355468659288,0.9424660396944522,1.0313274784983633,1.0835887045694796,1.0026822795451633,0.8262723848233018,0.6580861628099068,0.7905174610615446,0.7133103275270407,0.7570830257789183,0.5298312708935312,0.8751286224091972,0.6418468353505844,0.7111876896281193,0.7536727679283131,0.45697818603706203,0.6161054743155814,0.7430018388633742,0.9536537609466426,1.220066995947175,1.3617980531583775,1.4777119431872519,1.1619257706145005,1.210589116630629,1.424977359521931,1.2847377713718724,1.1895539195578033,1.4441501562357162,1.5314955892642301,1.204816256719897,1.2529733030203836,1.4371360095832442,1.4154710267887989,1.1123784625867408,1.1884674175793761,0.984771828683006,1.048247785623189,1.0340488457453934,0.963903878373147,0.869406322018474,0.7234742313240875,0.7460782570134946,0.6586998715017531,0.6178374331143561,0.5379353523865892,0.5775956875204924,0.6933783763768809,0.6238512935243976,0.5759656130062601,0.630121368747064,0.8531205991622717,0.8081724593969091,0.8683016062385434,1.0013769118880946,1.2629423446020935,1.1834835513713253,1.1616682814927994,0.9042033323144609,0.8497180624604713,1.3505724479258099,1.082611454207773,1.0734524163539998,0.9009632643659076,0.536064996618321,0.5295540751974517,0.4926280444905307,0.669077782229903,0.4773121270433148,0.44348029218359264,0.49236053066194957,0.7199846039473649,0.39807457503042004,0.5159545181025444,0.45308661979929166,0.3500684559895436,0.5889168066360169,0.9292260256373225,0.8757513797131811,1.3067990170643171,1.5825248354061225,2.2799357711257033],[0.9844043670299819,0.5751492308192416,0.5248659679649301,0.3806277203436974,0.3282620372598231,0.27974257192493945,0.14851801484822125,0.2699987621539331,0.2542440441702974,0.25424104483478094,0.30836139565878024,0.43497916218537724,0.3361527426109224,0.292896144069112,0.3894657174838607,0.369016980553878,0.37086414374248866,0.3543473576152587,0.3738817263905459,0.39428685544305564,0.38189607050859076,0.4418635906751556,0.520950015357273,0.5819719647610678,0.6200522088607686,0.4244853804496782,0.3512103627417508,0.3347672601728184,0.36394800705071956,0.3521084686210052,0.4154720481315277,0.3933911133860094,0.4197703049684632,0.41205471498075497,0.3872870763114632,0.36836290089235596,0.3734343955116486,0.36760675866448567,0.3339530832762269,0.34160850605282445,0.37800054484319096,0.44281650785008314,0.4258315616875236,0.721643052236356,1.205542540578773,1.6853440101946255,1.8816342566204927,0.9986292294347324,2.32182914319116,2.263379499789698,0.9837193007688948,1.9025716027207658,0.9201837248314559,0.551767915082748,1.6301843641007798,0.8936297868132134,1.3911619574176346,1.390960645933596,0.9039306638510245,0.8022045556640638,0.6100201816384246,0.5563308267168761,0.4988175921542469,0.4828639734850071,0.4399054365807063,0.43421599517277354,0.6317464423656695,0.4767491587840535,0.5650276015829789,0.5203981653641424,0.7648240868491675,1.0133498035921533,0.6960129499805474,0.6322329338306895,0.5260876316016652,0.836845919294781,0.4100907983313371,0.4217029279206892,0.39880719946783466,0.5143586654389067,0.4452789007930692,0.5340860592710454,0.9685144509135352,0.4748375557854207,0.5375112699107369,0.40283813808031516,0.36014961151237623,0.44558976051816357,0.38810255618307465,0.4947633548618297,0.42727618773182585,0.5879058165484536,0.4741941898202736,0.4009426976056775,0.39994363143674755,0.4844179430981512,0.5417712543469833,0.43190629547273396,0.41652357611822355,0.6538289010633471,0.4524072976851141,0.520984009402777,0.37243680740594876,0.44804661665035006,0.5864669282165359,0.48545809077892543,0.6719208102632928,0.46740834679221055,0.4773081431057141,0.5747720190610287,0.2927805106793612,0.2318317501778855,0.20691283563413077,0.28868078348994336,0.3015029452220245,0.3190362949527673,0.34289970483968424,0.42667511200612124,0.3248742693735794,0.3804716524530657,0.3683557943992794,0.3482907484758204,0.25521789934444405,0.27366035790272303,0.22257359916303054,0.255167219255046,0.3858159386600527,0.2786824693761162,0.2614267508005715,0.40279733932533585,0.3117808982101052,0.3658969440017377,0.3245593388090875,0.49084709322542247,0.3742183530682515,0.43105381741431564,0.6288004458127467,0.5111711699447647,0.5572022723395066,0.4027832039112147,0.579953421087523,0.449626778018516,0.40938193916754634,0.33536855740625743,0.31756720130220106,0.34607603678379817,0.3363843259143772,0.32470837045682543,0.2608737543875824,0.3424389812171245,0.38343308002929966,0.4376690775339109,0.8744994914573672,1.3243860565831191,1.1242626050235067,0.47318518904369106,0.37070779362893086,0.3766394361977078,0.34365079911867163,0.37133077633764044,0.31938018433600784,0.30283661920132565,0.3314198944669576,0.31252263924437035,0.5826878328600366,0.4661370777558183,0.5443044358277608,0.7591970530489285,0.9552463620595967,0.9606056671421929,0.6547867374873068,0.5069403137341532,0.3987476476115057,0.3917412997760714,0.3352805346564987,0.3678768100616437,0.38774360325454377,0.5585278242796338,0.37373265911177417,0.49063253469222734,0.6944297052947964,0.38461084450392924,0.39224465864986985,0.38726059398169776,0.4031741586859308,0.44881468492913423,0.4640224391226583,0.6777043435774168,1.3219464824530425,0.8151441600156059,1.2911478638525502,0.9600561750764517,0.81568161184082,0.9069058412772139,0.617801192923267,0.547566202669633,0.7275845524298912,0.35594001619249427,0.42291962631984503,0.4266958474691789,0.43565842667735694,0.5790270052683273,0.39975674342978296,0.405809963488735,0.5862131771464835,0.6773889730264921,0.4347512804633052,0.4731706453666846,0.7888939595303915,0.6077439925527215,0.5719127534310722,0.6928774161989116,0.8656129933256608,0.7919769813205149,0.7151106679586087,0.7533381873197543,0.7860813690531143,0.7013228530082203,0.5741699913216528,0.6306666406294849,0.6041767093548238,1.5038596609447001,0.7195510437319861,1.355774808285946,0.8039613947068541,0.8586593349019904,0.8947388686819833,0.8041171818878845,0.6810567156874131,0.5426647832391107,0.6334004826795652,0.5956365359446042,0.6910939377486854,0.4323949911510337,0.7972452952499239,0.6869312963592105,0.7338064539178176,0.8133447620512485,0.4482245593997074,0.46892016411945564,0.573792682899015,0.7855083391315429,1.0479178774857056,1.1728073852291572,1.2953366833896576,0.9925504700331189,1.031830752606372,1.2271823026173634,1.133048912467693,1.0483616576343269,1.2718093783855517,1.3743924563152932,1.1127117041492256,1.1303516088818977,1.3181671566009838,1.3798994005775538,1.0436770515790519,1.082478906643541,0.8906187763823198,0.9212034757963103,0.9051455471277228,0.8241151822897461,0.742217930228578,0.6372525200585255,0.6255063883900236,0.5528335921705896,0.5451494919048223,0.47955535965070084,0.512139241048655,0.6590869163952118,0.6042710312382931,0.5987453681608191,0.6237476013427873,0.8708268930576991,0.8199890417389987,0.8597786012357782,1.0188700331280638,1.2915109471921862,1.1236822300612732,1.1149828285029326,0.8519153095370878,0.7310743414374905,1.297865167095331,1.0345398701504953,1.0712081297664793,0.9146213366106692,0.5591349544741352,0.5383775710250946,0.4608597691714906,0.6484781048118639,0.44459110198474255,0.3135945139599135,0.37515492210603213,0.7076707091642187,0.292960309584213,0.4152879717644307,0.3661319648702171,0.25479095830521964,0.5757046408968137,0.6759767217616475,0.7875616847401639,1.5343860019589097,1.6797666085233038,2.32069094539559],[0.8019190823069912,0.6579855995290596,0.5259004041540011,0.3614510834567266,0.28524539830456186,0.17873100537875167,0.16477233308743774,0.21862276600287983,0.3124149414736312,0.2202117245341959,0.2282339791453016,0.3697378927525792,0.2994694269357671,0.27166427561418915,0.3481472385205891,0.3249526068863832,0.34848599121535745,0.3235146178736566,0.3560999820049689,0.3757809187216165,0.3855678217305925,0.4607041124160579,0.5317726151198798,0.6041468410616402,0.645613324934442,0.4361353466279553,0.3385049955271273,0.3093950775101771,0.33733077498791897,0.2990575923758698,0.3664629964289509,0.3213720178418968,0.3459805846558241,0.35443836773291887,0.33550644955954956,0.3228473910514288,0.31597900200820594,0.34998750655318495,0.30824123044813473,0.32525510378576933,0.36570736605240045,0.4112504915290815,0.39371627417058697,0.7036359969611793,1.2096084479829452,1.6722620905524879,1.898851157032013,0.9806972071517377,2.3531770796324305,2.3085102314340284,1.0107750445487467,1.963035498274222,0.9147554164882021,0.5485081197796726,1.5649677522695176,0.8726748383448834,1.1782106916976973,1.4762668017059093,0.8784838556574953,0.8474862857610103,0.6175122089742513,0.5073158550175804,0.45116273026821674,0.4652823782528994,0.4418925019227934,0.42031179955797776,0.5992907337089137,0.435101672989352,0.5450608348573123,0.5006136483798612,0.7352188875386719,0.9413703231231243,0.6615776099342705,0.6155512752431692,0.4829517169806917,0.8385348942443281,0.37937139232251604,0.3750320242971689,0.36481651509146795,0.4763701056247585,0.3958203043177518,0.5095841728200334,0.9230704550280023,0.4055371948746353,0.5642474320995228,0.3686944072616167,0.348473277974252,0.40572504174939805,0.35023487752810817,0.45074266039643496,0.3872157338616095,0.5754131040356927,0.44428130306850044,0.33071132638023126,0.3367969634203622,0.42737242821571214,0.4872110055555293,0.3690277722783491,0.3349475467010113,0.5439057689189348,0.36105199064137544,0.45169881565647074,0.31094423914945346,0.3798294068698633,0.47954345394979614,0.4620661636323105,0.5581407996482831,0.5173895217644027,0.47438804966670867,0.5475132649447653,0.29966923587046373,0.24849364799880155,0.2057344638290289,0.294065831521021,0.2934048440878417,0.3250573162812228,0.34780966639388966,0.4236968888351857,0.3378121807318996,0.35117757584889453,0.34106357158084827,0.3251885502159085,0.25046869548121636,0.2533730347528334,0.20953473217806226,0.25399336468696465,0.34881434307108833,0.26657670299789743,0.25744983712737074,0.4043591131384369,0.30759850521435267,0.3298437403618797,0.3283947042928895,0.47749694736897597,0.38343494238305387,0.4656225111036126,0.6329788837292034,0.5251580811318364,0.56737339275099,0.422394832365571,0.5652341074557332,0.4752475472066622,0.4060238404587356,0.3310161059036324,0.3156925794540941,0.34281716460626505,0.31032153956920444,0.30320695297237343,0.23396724212145364,0.3096193966091304,0.3591920925227815,0.41313334914492134,0.7814808140749473,1.2544136486173647,1.1228428252018423,0.3999614482918132,0.28785983659710607,0.3039123702358955,0.2773485887341529,0.3294319529089259,0.31249403982603746,0.28099489813115663,0.33590119483457853,0.2971337907382706,0.56093930501313,0.5047618955274301,0.593939252601875,0.8325425625881562,1.0087263156675421,1.0132865182158521,0.6871748711715405,0.5335492518947004,0.44439340695470975,0.37795755329608866,0.30307885584452743,0.31356118493035984,0.3313242530753526,0.47531487769095954,0.3364494167612751,0.420018252811681,0.7100395449492468,0.3680910245248588,0.3853429356321619,0.38376954300994215,0.4116639970797343,0.4351948968484574,0.4600838000744396,0.6567474440429494,1.3480959658978815,0.8545874067888495,1.3024129057826657,1.0728272922837647,0.922563802318975,0.9406688417095767,0.6077859816400227,0.6450219984245397,0.6702499071960619,0.37585007615218163,0.4552815196808615,0.4448386932885262,0.3980739087062958,0.5177521985380452,0.39408673739140493,0.39817183613679635,0.546779992261749,0.6872577464725357,0.46497521078560405,0.49767971955430695,0.7655983897725799,0.6724913358316408,0.6045510872766643,0.7214565673757929,0.9233838683314879,0.7797534951090951,0.768561628694296,0.7915207486567045,0.7858921774002531,0.642355318772301,0.535952688222361,0.6070729325785663,0.5670775811987936,1.3877796661059332,0.7052142338307645,1.253016071655276,0.7308687321245196,0.7557108932763439,0.769051296903571,0.6794660506274512,0.5945295405900906,0.5056697016797441,0.5304625898030664,0.5591413075405244,0.6646528291097473,0.42287574822462776,0.8161447382023538,0.7590616024231,0.7742920237305557,0.8923009870810202,0.47672599907059793,0.40141882849952754,0.4883512926767737,0.6668477377644262,0.9189407098664202,1.0300876028658401,1.15309717085852,0.8672189713629742,0.8897414963270469,1.064120038317633,1.0034115569679742,0.9317955265378915,1.1235819229797943,1.2339755287392533,1.0366469023836673,1.0369652930223137,1.2130421170119488,1.3449120035034672,1.012190065365409,1.0121975843460191,0.829018565633644,0.8294341626149253,0.8118532321895146,0.725516874970026,0.6629600880180101,0.5961774400513592,0.5580540803907984,0.49537276637775257,0.5059221113022304,0.4588247587298979,0.5040021462790083,0.6375544679726403,0.5826119758858711,0.621837573636802,0.6371104765390244,0.855946910415501,0.795067672170721,0.8053978817827387,1.0153074926266228,1.279756895164592,1.0265297351126865,1.0354477288239954,0.7767623274551725,0.6279725760408287,1.1999917185436222,0.925567764930463,1.0163766219509314,0.8704724265761672,0.5672573887687046,0.5072808482753918,0.4534449473180972,0.6434907086782591,0.39586084927220555,0.3135647110036577,0.34843738115837203,0.7273620226486271,0.31852853943022336,0.3939810324003825,0.33453519070409654,0.25795818594265635,0.539780010196707,0.5078778079438672,0.800741116722498,1.7381494035590204,1.841870946284136,2.4197958402569855],[0.6939381761771096,0.78260050515617,0.46282359582806515,0.31297020992131624,0.39529050085701906,0.2272316291410927,0.21925985653430627,0.24763589650790777,0.32569341982330163,0.23836073341416478,0.2554354310021881,0.4037987272093164,0.31497276171036087,0.26685282931294674,0.3581254743842887,0.33521733849302304,0.34847626760360173,0.3221270465884419,0.36361968866019617,0.3755004669863824,0.39572575642772445,0.48512034011435395,0.5787112333809711,0.6610674502800578,0.7185211292495597,0.47462638252033446,0.3617317749366349,0.3089201050616847,0.3462817855229317,0.31920616129678364,0.3698568987661548,0.33149748236488336,0.3612380702396395,0.3561844478524409,0.3430690215989546,0.33127014666835025,0.3347478341372849,0.36380594110884823,0.3419806505709061,0.3749438856779349,0.3889096412326082,0.4138865900651697,0.3998559003304045,0.7835816120235538,1.2336601207737776,1.7072010416118653,1.982505656138816,1.0590210181179915,2.5275387681804475,2.602682646086746,1.2417318872006264,2.0534034657657125,0.9149613690608122,0.5671458424192013,1.4970972748389504,0.8740958835171891,1.0962165493541232,1.4803430483596391,0.897216092361748,0.9248795395958834,0.6371310058446934,0.5283415854792393,0.45753582231150525,0.4702498712866521,0.46582355140306203,0.42063177354713566,0.5711886739699199,0.41227663487928506,0.5584232294093942,0.503114638365067,0.7283827786208369,0.9554446091778763,0.6588166933926284,0.6495596473693696,0.47543671858255043,0.8872660798365409,0.3796498857235818,0.36827708890190225,0.3764926538179726,0.479239850671802,0.40211057639186487,0.5249895905928345,0.9108117921969817,0.4330263067201724,0.6113929272823329,0.3842374028472959,0.367644118856353,0.4004231902864184,0.35742387228458294,0.4437274463353986,0.3917419644116191,0.5998961192769838,0.453270608949012,0.35024655918700653,0.353211033892659,0.44946497549025133,0.5120196278733081,0.3811578662950823,0.3472700718852209,0.5449182257641132,0.37320633674309556,0.46298434397321836,0.33126325928803474,0.41346092030935555,0.48233034001009767,0.4832147992760919,0.5760816708514824,0.5687516903112823,0.5227934351698919,0.5493654736421116,0.35573441365397795,0.28104988871150915,0.2618045502037661,0.30622350467781956,0.2900855140283051,0.35989192820843724,0.3507103857882237,0.46744276328168977,0.3632524973628629,0.3418276528127587,0.30906230750354446,0.3003168731188951,0.27748310346828425,0.24669214699519243,0.24526261298101784,0.33696731553974496,0.34644195820923374,0.35583987359651953,0.3671639445937416,0.48449069688056007,0.3762889785664381,0.4115089270982483,0.4102495321558245,0.503918868108087,0.4633653473507195,0.5751640157580511,0.7255890651385736,0.5803676835993644,0.5752483786151977,0.46284928753057375,0.602928966009577,0.5691801667722294,0.42831469202235334,0.3541296469613649,0.3410518222647574,0.3640770139040903,0.32970091059340895,0.3413515378249597,0.27247138619486916,0.31586831003466803,0.36436736456771873,0.39344197438592243,0.808939581240416,1.2458656592277118,1.060666233358839,0.3899684161410938,0.28928073383209824,0.3041030648617191,0.2911498973037947,0.3540153627369456,0.34724868775478557,0.31452423400954377,0.3636189401832759,0.35011782216697446,0.618389960519892,0.5741054031094167,0.6893492233535818,1.0135923030627112,1.1958322195777338,1.1194457204227068,0.7803277151262313,0.6012179013616636,0.5213419782076752,0.41050975496043135,0.3332100233338594,0.3393750757247178,0.35093860238784447,0.48596907908392795,0.35854240172849083,0.47685721475959525,0.6901680122035683,0.4272018514594293,0.4232181854633867,0.41289003963208964,0.46578385299223635,0.4597464592420879,0.4998356529884144,0.6607281423006212,1.4354776202006656,0.9679506172661801,1.2073665441959684,1.0995607051173137,0.9801836253644942,0.9753475419514155,0.6464488711332367,0.7770266451605166,0.6832944853379893,0.42226942529061234,0.5157048312644165,0.5069537192195802,0.49296946337298914,0.6178833548501831,0.5032431798606769,0.49056965787476975,0.6813511119794956,0.8762078185196046,0.5937903483121292,0.6429428283814979,0.9707539427256315,0.940329596433926,0.8054182941213985,0.9636907604814499,1.227158377459697,1.007390001354877,1.010583150504792,0.9695098726998008,0.9437363923535741,0.6801875227627744,0.6235374914684136,0.7490911147360917,0.6695466146348362,1.314531553969792,0.7907516758089547,1.3233584351360066,0.8166828724116839,0.8015580011941752,0.8175620942922566,0.6760190351280178,0.6635367323823445,0.5748505439597369,0.58550318897648,0.6152422673229488,0.7390261554428379,0.4953724282951168,0.7919565114126051,0.915983729260773,0.8547376024060608,0.9455131257361439,0.5452063076177263,0.4828401947716175,0.5549719397662272,0.6963576456413039,0.9415581044803197,1.0281480589609537,1.1653770758020976,0.9405807137118362,0.9844066108829314,1.1063999329775356,1.0806644510682415,1.0685994961380447,1.2685308309980659,1.3967851958443007,1.2561690932116112,1.23754718124569,1.4150697189434769,1.571946876231408,1.2423067607109404,1.2192874572211267,1.0219915452912158,0.997283247580157,0.9605453905582142,0.8422027971125838,0.8061394882459976,0.7406745488419065,0.6837183335647845,0.5984775523898517,0.5884058053084424,0.527174484917194,0.5694861107903845,0.7090001013187615,0.616709128959298,0.6946144635996466,0.6873812661933821,0.9332411188041188,0.8278247231447898,0.8191617520174395,1.0548993536305384,1.290404399336863,1.0349148695560788,1.007400607660157,0.7355107204195901,0.6091887413173599,1.0995881372995953,0.8479903945071782,1.0290351473299297,0.9562954146214822,0.6362568417069014,0.5580347919855978,0.497439972308014,0.7215278177090201,0.4104956496822006,0.32352289296853165,0.36224338942069045,0.6201480400358106,0.34565098083455825,0.42254120080824065,0.4453185116484969,0.2862752293844676,0.5033697781911727,0.4232069578361003,0.5807447897324713,1.7164927428648886,1.5444868341416846,2.2873776872686813],[0.7023753299172462,0.888839596036797,0.6128460452065347,0.3693807416766608,0.40565304713522093,0.25948666896387224,0.2601712666496961,0.3026572799821842,0.43061090364601406,0.3643472397086537,0.3987645481785797,0.44657819551751265,0.3674962908215158,0.357411594951827,0.47502984479484406,0.38192736445705106,0.36761713070385427,0.34429268492702864,0.413908509046131,0.3661701386741984,0.40936160721696013,0.4783287041761566,0.6538577131611342,0.700289367098772,0.7489955405892562,0.5193750664312127,0.36606822076887097,0.3242756549269539,0.345076104548164,0.33510050811476727,0.4161264040906788,0.3750215609128394,0.42348028771679563,0.42973369414615115,0.38778098857560095,0.37173926167715154,0.34221709683416046,0.39912694917842995,0.33402226171332194,0.3901336765417761,0.39334178249717855,0.43554884602724836,0.416394605654683,0.7550125944476206,1.2877847132360618,1.7609161086334988,2.0458228888341092,1.0784161554116583,2.525867464909596,2.606037215684562,1.2929713335725526,2.115479247431909,1.0336375054062328,0.6722755998040526,1.4358091719487585,0.9327061858601725,0.8226729714922583,1.6536664936930914,0.9324653504057976,1.0299118490095194,0.6850324662152303,0.5234488785986608,0.4627182628139952,0.5115651522888637,0.4861111571063698,0.45841125390914467,0.5664435603108249,0.427207420291658,0.6069899870726837,0.5691457794063831,0.7316999824531454,0.9484171845191967,0.6709094368152129,0.7371414565793583,0.518709136155255,0.914306382518599,0.42629975272695647,0.41756517197754134,0.4020510345096403,0.5178835425405068,0.3830011696535778,0.5623664287778286,0.9140445177278317,0.4797181353958593,0.6719913520279243,0.38161462428643944,0.36153896566892574,0.4212335558928024,0.38627779063442513,0.4590020211393858,0.47245098079124886,0.6486632329588536,0.5652860346482446,0.4343136716206725,0.440311151384685,0.5493049152573176,0.6113877333680758,0.4651867908324095,0.4305981113335069,0.5955628064233981,0.3851054678285346,0.47252473187955496,0.37823784561559387,0.39792072120530386,0.49938878729192515,0.44836554374460913,0.4719205388922277,0.655637902726325,0.4984212456536017,0.5021609171648286,0.32399654404830697,0.2730506364050856,0.26236601276507165,0.2713146481846293,0.286543068682314,0.40049677232622144,0.3728334231256354,0.4108215679091135,0.42582066323181283,0.3533968478345584,0.3713271623445918,0.3506989273658769,0.33217285996860696,0.2602302566252718,0.26094109440780944,0.286619572340957,0.3069982999658582,0.3384236832919449,0.35979287855604225,0.4444888838441185,0.42214328699808,0.41906234418274124,0.451112320211164,0.4723012492239553,0.4607436940725973,0.5660787835164938,0.742341334551606,0.5620855962241005,0.5179349951119157,0.5545057778025918,0.5446834151766273,0.622261020360845,0.40244548978978534,0.3391066000051425,0.3279256141045623,0.378166184859368,0.33649433573088916,0.3350728308825633,0.2683998600101802,0.3517158573793981,0.38007318770126264,0.4366514798758713,0.7097679281232576,1.3102863551024662,1.2101278116384682,0.4745888271690917,0.37475997336135153,0.3243303832131043,0.3282297008171271,0.3407469307903678,0.32591396228781566,0.3275126635947745,0.36293854875549175,0.3420869888827668,0.5452060411989232,0.5846208020793247,0.7706545498065012,1.1409051379013484,1.2853419954524612,1.1842237694072084,0.8170439277670962,0.6056899340804744,0.5131088724480725,0.38813989194309445,0.32314781809964105,0.3151146863339054,0.36461666671053294,0.4506663555118189,0.38271701516669976,0.4017938338068489,0.7441518147191553,0.4198349760687189,0.4630518760477001,0.47935536093216546,0.4989662219856262,0.5111000255004724,0.567313591274206,0.7141166706584137,1.4803174972569777,1.045066620693082,1.2412135318680442,1.267879457384732,1.12927205310394,1.0260210372347334,0.783498664729309,1.0800600232399176,0.7238358306574254,0.5593394381063713,0.6630311884418443,0.5826087891707199,0.5510692319092427,0.5666297677257106,0.5224958520859633,0.5849226839287519,0.68239394077479,0.8671871368043905,0.7619555897024618,0.7711027873909556,0.954596790297835,1.042553539769727,1.000494101285277,1.0875349177498146,1.3088035167002163,1.2800072825122917,1.2781539403678954,1.2531851844645554,1.1070524573376186,0.8624391041170408,0.7745648128151079,0.8755534491959813,0.7691626904421591,1.267261480574148,0.8643915151991942,1.2548819143714667,0.8436696674036579,0.7837036180477425,0.7703845063647344,0.6922124126632133,0.7018995507297427,0.6797154309710156,0.6354269548924246,0.7329904980886125,0.8289092873598701,0.6666647862097222,1.0051569546855104,1.1504024877478216,1.0347521354467013,1.1709066119523677,0.7049341526973361,0.5263571774360938,0.6115142612865303,0.663833563804279,0.8240893953001344,0.8575525652509447,0.9983244052312059,0.7997980820501934,0.8251924504887147,0.9159196193294125,0.9143580209240035,0.9211770353877761,1.074448160630635,1.2036867374131448,1.1319280317045823,1.1221378422462795,1.2778898414189097,1.4947471410951594,1.2101747032581902,1.1551541353082762,0.995567786273668,0.9286816927224455,0.8784039765340751,0.7796607251226152,0.797644160271935,0.7706554696914752,0.6856672718288634,0.6754834631938401,0.6901562712136057,0.6488809949877893,0.7144859261424966,0.8357431914689681,0.7581265956074799,0.8413075220127946,0.857118165648729,1.0690514179346078,0.9578065810127471,0.8916574053154848,1.2048828178711268,1.3449910403757157,1.0593244502597576,1.0522411446078663,0.8637419654159669,0.8926908581900241,1.1155739504341566,0.8600249567836631,1.0469276967036683,0.9813254924568112,0.780534121643257,0.6216008547716113,0.5693265778156082,0.6932934765037904,0.4229311637310326,0.36720203268608126,0.39223740170179255,0.6814923240840666,0.3598574688831273,0.46846793503334816,0.45324545874023475,0.3270148005055229,0.5399334479011374,0.4368637751232237,0.61277812808499,1.668456109169369,1.6034442610849655,2.3069992365234406],[0.6970657262016937,0.9072037902781154,0.5201422893018768,0.3144448172686106,0.4544242436428641,0.2922511376673187,0.2379515851311656,0.2610677075692426,0.3461042931251101,0.27548108195064924,0.3032286480889267,0.39139149209758717,0.32285521597906214,0.30871230327067517,0.42429013508990704,0.35826603891749087,0.3597662872888805,0.3488748210492576,0.43503623312283274,0.40698782322376625,0.4667586547433624,0.5256189129855064,0.6911745608008943,0.7582647128419864,0.801542560114584,0.5750261123760321,0.41002045735436365,0.3511336726449758,0.36933018649958277,0.32276969175834525,0.40741463866259786,0.3514345941955764,0.36834374548141235,0.3994078557957532,0.37085403517741605,0.3593330878293119,0.34145391498475636,0.3933147864199212,0.36807285387650024,0.4206773523652796,0.4176437888928071,0.4592626833147996,0.43867940810903816,0.7918287687785602,1.2988581516927729,1.7857791338695943,2.099039653251674,1.1027602788159867,2.5624702736113685,2.668480436850328,1.3475112760362848,2.121453664132614,1.0151124771583326,0.6811035027874716,1.4564119003547205,0.9291758495700173,0.8771834309905293,1.6419019233041878,0.9490570201894966,1.0386894368680213,0.7146994052432,0.5640647055485651,0.4935542178851412,0.5468451441905404,0.5304713633682908,0.48711910973851047,0.6104362869556774,0.44744238243283097,0.6249252409971823,0.5672427383548065,0.7517176130273611,0.9814807266832642,0.691217179911201,0.7594152516084053,0.5403836926614818,0.989683392130133,0.4248778205576854,0.38177547434509473,0.39030822198843473,0.5150183356917227,0.4035424394016,0.5706419251106093,0.9200427023648681,0.5050207298686592,0.6832509299094172,0.4126011994488973,0.3985170504131036,0.419736643378354,0.3920333466667592,0.4451086821796475,0.4501953439754553,0.6698417460839764,0.5404330813220343,0.40709333620477306,0.4037506524732027,0.5121221611078028,0.5526891528506273,0.40119915589849714,0.3525772221379201,0.553934735990196,0.35403900341452194,0.4672332141232662,0.3549200834502833,0.421156043892889,0.5145247682175045,0.5019882349624901,0.5516099617312551,0.6511450926814788,0.5525382206792193,0.5457387020576231,0.3881175105170995,0.30803223181870704,0.27363774671506597,0.2983465237313176,0.31341228702770396,0.4206100488736811,0.3889507703657685,0.4698224611100567,0.48128351851386836,0.38283433605129763,0.39788692635913414,0.3486848874468133,0.36038426211173946,0.2874531265868628,0.2665631077686582,0.3314686083971418,0.34585084283107403,0.3754679087993813,0.4252612921519384,0.5055963414393185,0.4726089930642752,0.4817439947408543,0.5086427567836266,0.521185209515792,0.51807972541559,0.6168676213197678,0.753897104843016,0.6049712833183436,0.5588400485698355,0.5813042173854098,0.5840212604745761,0.6626461252802787,0.41930319346963807,0.3780952561185623,0.3636343645440411,0.3870609024358361,0.3601614215148594,0.3437432927774642,0.27926219638534117,0.3312125927480787,0.3935975986481205,0.41317896630121376,0.7978740403948711,1.2862909775157443,1.1165641764413188,0.3985089017465323,0.3119346934310877,0.32577476293059654,0.2981542282243069,0.36695706429575053,0.3659952313426222,0.3527892000407608,0.4074107469596137,0.3934924254802298,0.5688879949427955,0.6268023579494333,0.8004438336405384,1.2153529830458303,1.3675055821556314,1.2216949340138423,0.8485992248378835,0.6459161573541846,0.5517221801601627,0.4537923429142124,0.36568835940376926,0.35027174342344225,0.3589583719055721,0.47583767487252837,0.40200317681318726,0.467803154889818,0.7693456759690024,0.4821739131699034,0.5153877676596285,0.5220660263467105,0.5436873908214653,0.554969187226399,0.5930806817339269,0.7452355696204888,1.5096758971494635,1.0818723057310966,1.2318645706658014,1.1888490763342443,1.1259020098366475,1.0566178496501022,0.7957089697085514,1.0163329928674907,0.6836383429450829,0.5816637161560394,0.6814093455330928,0.6093297079261504,0.5990369234389278,0.658094626272679,0.590570430244873,0.6432145920197948,0.7848558132252845,0.9897928958727253,0.8221370886457835,0.8570762993232937,1.1239458896351948,1.2078015535997326,1.1282310060043186,1.270203638516495,1.5396866312776378,1.4744088132123019,1.46534955537759,1.3647232956032282,1.2666675019011888,0.9108836122797163,0.8507181155250199,0.9884842513441157,0.8734632411551718,1.3194189960626077,0.9658984838400158,1.36109089308624,0.9288309767252289,0.8447147041088483,0.8287585161970028,0.7355691787519391,0.7823169209786093,0.7122104406539908,0.6871745785915738,0.7672742729102762,0.8643833928545287,0.700937084946098,0.9958061016200408,1.2255010853759527,1.0883140250639873,1.1802892885120628,0.7329708134338382,0.5701138476316343,0.645445543707166,0.7076651311550949,0.9031027967036065,0.9463329416619617,1.1021089901978796,0.91689446404722,0.9774964245971589,1.0733747482266078,1.0590606658390267,1.0897449337642924,1.2943692757820437,1.4413292242089468,1.3506982912792984,1.3396376211186019,1.534841780472533,1.7376741284762907,1.4396026497991325,1.391799503882231,1.1935365085033556,1.1090980009715754,1.032477629108142,0.9122844414100042,0.9475254952042937,0.8982545677776465,0.7896200163370735,0.7651359299261746,0.7753154411719635,0.7044936510073398,0.762324520985686,0.8984256643566695,0.8024411689182681,0.9041975754614585,0.9033213753023716,1.1268359295703831,1.0054404320650838,0.9513790364413175,1.2589709118005443,1.3703984790603974,1.1201159751240508,1.0393611048731068,0.8504670176431577,0.9136086185678952,0.9866853301457561,0.8362918593549502,1.0991592854180259,1.102470155689629,0.8347526725159056,0.6759943824601192,0.6133713444379656,0.7269777714851355,0.46228607434913044,0.4012018061909286,0.4318877596608893,0.6186250897270373,0.3940861275571462,0.48290904606035007,0.508317263303051,0.31536884290315215,0.5621493548045129,0.5470183773438987,0.5401764803943168,1.6113143901171627,1.3959572173595083,2.27595632409344],[0.7476838676149509,0.8740858902284778,0.502930687900354,0.283382677695896,0.45074654981720574,0.3201433868933516,0.24769841907821283,0.294065462029926,0.36758449085802797,0.26009084787550885,0.31106526733099144,0.3961022818445244,0.2922880181869088,0.26936489690597093,0.4080333997191186,0.31647583805545876,0.3492979475912679,0.33729442639100815,0.4267612434291921,0.39983079071190897,0.4834640228969282,0.5534626904169736,0.719403530688928,0.7744857135070453,0.8115883040667667,0.5854252423500285,0.41409882407825765,0.34399645450647526,0.343861255076554,0.29447889564985025,0.3720828182216211,0.32416328490021623,0.3548444674389612,0.36624257668183063,0.3460667383677473,0.357273424697359,0.3187581244283032,0.41666939587302465,0.3997794743855627,0.4644630865519455,0.47136568522705163,0.4779476707609074,0.46399771349279745,0.8126758398641084,1.2926163297881117,1.8325866293906805,2.117719783895032,1.1505933893831128,2.632154964539679,2.797332221722558,1.4774001489240864,2.190092917231132,1.0172118581037817,0.7164600910673267,1.4183886185709587,0.91046655411097,0.7792908420633224,1.7250472233648069,0.9997200779048775,1.1427254870664698,0.7965546281067648,0.5962554784472459,0.5010783944462266,0.5727465534675866,0.5601682495505129,0.49289512297608723,0.6229633527532659,0.4310248399640711,0.6307558051929004,0.5614228153273823,0.7258456991458708,0.9778509518272491,0.6632731125368904,0.7725200371220434,0.4997947833325568,0.9754607822447551,0.4324002029548974,0.384697197016809,0.39651980416945304,0.5083537431683343,0.39999223107360354,0.5768788964075295,0.9157138690223557,0.5200620906677662,0.6987459641229371,0.4023923493962104,0.40572123378560965,0.4063836185148862,0.3862881492346603,0.441802086052375,0.44223190996248307,0.6581412922162849,0.517224888004088,0.3780370023236581,0.3691915015428731,0.4809622117815616,0.5151149591423303,0.39239739593811546,0.3642570973708762,0.585984997298462,0.34959149341940043,0.47462865014320443,0.33655499698032953,0.41528904110407305,0.5055252015333042,0.46871175495436146,0.5412370516285537,0.6496937818326811,0.5277784064466384,0.5359830720915738,0.37333314194018874,0.30167929573711577,0.25860617166063865,0.2862613455165211,0.30027533069245604,0.40713973411389476,0.3629299529321523,0.4865969153230923,0.516619737211344,0.3525864689023409,0.3810173198796173,0.31697242442180773,0.3331401005248785,0.25159224691934107,0.23761743567191626,0.32799529898903684,0.3470381968940564,0.3821236391100058,0.4401117455560101,0.5059374522236729,0.4996254170559997,0.5157842235372848,0.570179341664101,0.527276956478415,0.5682835802456649,0.6597132425294022,0.8197858916834829,0.659731468125104,0.6190812256441208,0.7103738158890184,0.603717858213987,0.7148949682522264,0.45771129298040736,0.4316884026890685,0.41621266463905715,0.4236323382078065,0.39139945103944535,0.3589788863166867,0.271054262497648,0.3198151534392997,0.3878758741439312,0.4339465469873284,0.8185912143460093,1.33233223886346,1.157218191865518,0.4401781762099703,0.3310152317297798,0.3122591594621564,0.2889425091358205,0.3504478845917733,0.37220557363754964,0.36984140548718003,0.46704801021935644,0.44919260593296545,0.6518348786558974,0.7565292018415141,0.9256685817286189,1.3914997452639433,1.5130694693019335,1.3234949379055185,0.9501655883056408,0.7410606168759476,0.6186150782536349,0.47358303895868914,0.3671085558156177,0.3431673113515448,0.35263822431261166,0.45372628907147095,0.4100968946574003,0.44819726360188095,0.7772504390599839,0.486942979775673,0.5508018559463569,0.5709509348970678,0.6024074638494714,0.6184753718828024,0.6430164742470871,0.8298683989145444,1.5726438253392658,1.1964077596498381,1.282968748195294,1.2807958426864636,1.2410390335734873,1.1362488242212305,0.8828809610184656,1.1327582498452529,0.7453440078359662,0.6385825383370908,0.7284656208478926,0.6379408890545213,0.637720462182813,0.6708205147631778,0.6076892792546796,0.674089758145398,0.8025597938026142,0.9953296028220302,0.8637961296565421,0.896167852241181,1.1390431246685642,1.2524993561641056,1.1945456656095759,1.3354788322456175,1.5993814179105097,1.6173527475687393,1.5887939529602249,1.4742950183692318,1.3660520284165223,0.9705695032515705,0.9040416049238875,1.048681687454305,0.9333085783064461,1.325576693747184,1.0161450156350347,1.3407881117137368,0.9553824710506053,0.8591963563381675,0.8361218441841555,0.7639570328973494,0.8093256111497148,0.7494702473064385,0.7183847632500668,0.8504143140863517,0.9285094977088494,0.7608934938578585,1.0692625744078064,1.3688219923239968,1.1584264051233306,1.2505015924154688,0.7735764963600112,0.5972936080524794,0.6970132786514192,0.7190278365057531,0.8992683551895045,0.9121860334554054,1.0642277589706144,0.9132845201529363,0.9582394411691625,1.0296823523847678,1.0316266115636314,1.0571808663079971,1.2573918013944276,1.402686870468517,1.33905912063213,1.3370200612927905,1.5293904525257078,1.738448300035937,1.4607032591943367,1.4093692484174232,1.2138099741964625,1.120859494243165,1.023971822044886,0.9092886120425188,0.9675394804474533,0.9193072673518846,0.8021011910369816,0.7987012601668636,0.8163868016266694,0.7482945922610307,0.8415461343198412,0.9910047089889568,0.8682104928333931,0.9780178888099303,0.9993848767028319,1.2118155914435802,1.0769346486757707,0.9912865488161609,1.3388053903250707,1.3664546135769635,1.136390537138566,1.0483083785363527,0.9004225434750693,1.0359342808922447,0.9729327150893461,0.8411589650356072,1.0772842634189694,1.1037697301387637,0.8721279665178112,0.6853140404013232,0.6342061033826888,0.7186628944924985,0.48052156401778084,0.42722976539954816,0.4882432417825045,0.624006150220403,0.40324675250147296,0.5465071843288146,0.6043230647508498,0.35121273337603515,0.5243526620738828,0.5748826770269735,0.5264535160908888,1.457086089370611,1.259963514821492,2.2684146622322996],[0.7033975948954959,0.6471375526523584,0.5419790507167963,0.40616940210052244,0.5583496468784328,0.4143450155705738,0.38350580571768045,0.3918689892174285,0.4365849869307929,0.3749595050081824,0.3791648107116794,0.4302824217989005,0.3763793115277501,0.3720784371531308,0.4965407879436415,0.4102763832605823,0.4421637767396878,0.44924756935154525,0.5313257542237199,0.5075217504964711,0.5926581247292823,0.6465662525048231,0.7683719770586156,0.8366674411455348,0.7998840270119177,0.6304409954613808,0.4876658868927361,0.4273270074989535,0.4378307084228972,0.38385105177256645,0.49277752473504477,0.4202958696155345,0.47934130612109105,0.4625122712782487,0.43364998245113645,0.4404611132613401,0.3909133246862648,0.47452153367022315,0.47963221750898527,0.5136136134903524,0.5155239609237126,0.549622440381501,0.5373579804388487,0.8180012779075085,1.2496339075610197,1.8355811866555343,2.076051922591004,1.1208646586013271,2.5909952450173765,2.713245050034434,1.4262221712875736,2.217177876549099,0.984654796013418,0.732125875851145,1.4517298360722974,0.8659056054574846,0.7502315971711887,1.8875778648472166,1.1097159587096443,1.244429532374708,0.9199568631503724,0.6946334029715362,0.6037314062563491,0.6987892711173943,0.6730282044541429,0.5757032619059022,0.7323064443981991,0.5541753731799305,0.730508877712275,0.6656294891537465,0.8199177619652173,1.0488168220757996,0.7929216915679836,0.8872919342754438,0.6121343279048175,1.1498371858415668,0.5249131150765088,0.4779612557650232,0.47933666650105805,0.5505183741272303,0.47348745834983125,0.6415439210324793,0.9710022861434285,0.5459397917147759,0.7308543674840035,0.4541867968839759,0.4754748554578995,0.4460341057721397,0.4685007610642557,0.5228870426986665,0.5329529833914783,0.7640326640981273,0.6287091797546545,0.4911356534388838,0.4744071255397849,0.5872886124490306,0.5993351188653936,0.48101888528441983,0.4240048455208023,0.6101734755915409,0.42877878041683215,0.5366399904686043,0.4109022190087219,0.5014296888472736,0.5863166505479794,0.5610405342354117,0.6469935253583278,0.685032386119284,0.608013683052585,0.647506348522158,0.4848609562985419,0.4142916959170209,0.38848876263597903,0.3782888103055961,0.4339877542476142,0.4676551858047897,0.4304056421297847,0.5480687733288334,0.6329125514852404,0.47254455921682414,0.5011184008949118,0.42556411416279577,0.42726805190581535,0.37402199088014926,0.3756501180686739,0.3978290754783415,0.42205256826854287,0.4707988579673297,0.5352467642059605,0.6068499622644331,0.5440762370472565,0.5679507740973706,0.6031088845580468,0.6039367066714417,0.6053312806522411,0.7115327645967158,0.8548077827495497,0.6781601297773292,0.6302759958349893,0.7714528526882809,0.6277222440748563,0.7513465311256976,0.5467010517558463,0.49693436690878173,0.48086462069783414,0.5030878295050546,0.46629396093692926,0.44974100453835425,0.3804376488138408,0.4130765150853668,0.45345477876261053,0.5182351289974599,0.9415983578646767,1.405707638383931,1.1802220828480878,0.49889546617674535,0.39573026357281715,0.4197568863034104,0.3788363190238426,0.4325063835291822,0.4668687682619287,0.4496148899834632,0.5246555158756774,0.516197895790082,0.6887438686242797,0.7694846873353095,0.9423800268426769,1.4051514784074692,1.5114974314966723,1.323268578529477,0.9574180460810883,0.7664613471479335,0.6695203739461981,0.5252037706004162,0.4285024210062614,0.437658880017579,0.41310590894999116,0.5304949774671565,0.4667897145588254,0.5289161506883706,0.777661957400086,0.562210578370222,0.6081781095788054,0.5967567079136923,0.6311420738984682,0.6414420768995599,0.6609976427234011,0.8809722855145837,1.5927352775181272,1.2180534540256363,1.316267638120433,1.3198798468094337,1.2560447373792352,1.1519500985063826,0.883948895402796,1.128658195747308,0.7421161629646755,0.6638699183008547,0.7655247029615954,0.7020021811281154,0.7507690005992694,0.8304813860370442,0.7426224394527899,0.7916372994093451,0.9718616655566968,1.1740775234175775,0.9832798462590221,1.040948453771494,1.3526364913774205,1.4276536927625938,1.3465983195905649,1.544855836738185,1.841198587706472,1.8121916183710842,1.7726702340073472,1.609258472197292,1.582588759539047,1.0786816725649009,1.0488114514933207,1.2351343845801703,1.1031022040955851,1.4621398808361927,1.1935319653611767,1.4986417938558063,1.1016926860225578,1.0132071606144017,0.9834111188026592,0.870992655162602,0.9224268032496613,0.8468685079498918,0.8135738357198133,0.9224169431334112,0.9986594559911156,0.8294514390829761,1.102087910502844,1.433272474924453,1.2042594729351386,1.2595689622217112,0.8219469657869362,0.6658270380970208,0.7838064732536717,0.8650162276245696,1.054692090769884,1.0996736753047456,1.2284544821706769,1.082938190621069,1.185000616016035,1.2677650939264888,1.2271136158842053,1.286374046175177,1.5352980631904687,1.6880375345286154,1.5957752351772527,1.6071457757634215,1.8381931278378478,2.0131675569661165,1.727004626555611,1.6989139594819644,1.46478725273146,1.3687355388886122,1.2471143065787775,1.1167798706217686,1.1827790913079559,1.1132855792474727,0.9713787063234643,0.9576613914640828,0.9741567492426417,0.8600728729272186,0.9406956299857973,1.1039187498349579,0.9612314723423842,1.04585477657,1.0817187637905477,1.2976265056114251,1.1521504622184846,1.0590041711923666,1.3656107016255519,1.359842322470854,1.188426098456244,1.0583138740676798,0.9821299887790697,1.1427753088613772,0.9700178310837213,0.9193957154504849,1.1055850644570997,1.1661645830389331,0.9374481642689345,0.7679485891274596,0.698629847587876,0.8050110163606418,0.5662010404183915,0.5259093798732003,0.5419022555193456,0.6124063495314517,0.5069335006909216,0.5324568143672325,0.5903144974557948,0.41709891445015845,0.5414577521964877,0.648666909725148,0.6597861656555986,1.3721107663195677,1.3225487080362104,2.4260836313889587],[0.943631443011953,0.7917474783382082,0.609394996619667,0.4724014437819099,0.636104708726754,0.49086028873559306,0.4145807628826509,0.458543765102741,0.4513777957528816,0.3329087416520467,0.3476878708951388,0.46206114437040063,0.36598657394919143,0.31109830148300005,0.4453842817418957,0.37637515939874744,0.3426732752727619,0.3354001663463285,0.44803430450451065,0.4148260688938047,0.47987181123191774,0.5541055175053664,0.7290287041099082,0.7973588088038779,0.8266388138775479,0.5887575332189062,0.42781568186918195,0.3541823716522589,0.3585870681395488,0.3494591959083323,0.40569720437669826,0.37184830640741195,0.4127909703414563,0.3860128905630196,0.3767540692793716,0.36730997222645306,0.37659127150107835,0.42992911732358935,0.40277080158015477,0.4868701830683827,0.4841679219626065,0.4854201882580583,0.4805215976006173,0.8206256283318738,1.3372860709439014,1.8279909312386549,2.188749382875117,1.200652457246043,2.681173620140712,2.930898620764248,1.5986212412745457,2.13930806960325,1.0382877387204046,0.7401723456183643,1.3918557770765934,0.9185980095991193,0.7748144911632162,1.6423355033373226,0.98060203732219,1.1410706741092733,0.7702497826130104,0.5969189043077858,0.5157574847984603,0.5896285098959763,0.5804643327144648,0.5008599969525943,0.6062520911366662,0.43290556178866535,0.6342904772646938,0.5703100144739948,0.7442452778956885,0.9857311543544575,0.6938907415535429,0.7837428974550225,0.5324045253551563,1.0089462572754984,0.4240981847068312,0.37879912498562596,0.3921652225616919,0.5086581755140189,0.42419488247181547,0.6187537824992401,0.9140335771922848,0.5939067268326361,0.7422404305522422,0.4501814262709921,0.41833470712048804,0.44877275122360133,0.3987074618768796,0.44221016671278124,0.4456569121583951,0.676348061851014,0.5405251155713636,0.41788046166704984,0.4151557225190802,0.5348312210626308,0.5582255360658686,0.4447604471101661,0.43016147299948615,0.6161553187114118,0.41097109411550053,0.572193683822203,0.44374355672856897,0.5708744014304155,0.6070813792061008,0.5933282506020324,0.6903900841066967,0.7527184584254022,0.6760165116177203,0.6795551707705939,0.5606070882482832,0.4486176532548006,0.39684369913527806,0.3765999161867378,0.3539562396899775,0.4487684556800754,0.3818696274170915,0.4989837513210142,0.5248582395291547,0.36372247781088973,0.3958159113245596,0.3343212543934064,0.363785995691277,0.3041335825467834,0.31033879052445146,0.40808403172099644,0.5689897337446409,0.5038243648175686,0.5883726027408358,0.6214249641064529,0.6397972900786597,0.6764497445369013,0.6395337758408062,0.6257245142913157,0.6184196862833413,0.6881412624495216,0.7899356068003311,0.6569266983018596,0.6447174561332746,0.6933473491212264,0.6636923629373837,0.7555925743308711,0.4847355071556769,0.445531739567727,0.4312798913917144,0.42243075269406744,0.3969610636565428,0.3999705324921257,0.37538686099608704,0.4297803309019683,0.5293988332568653,0.5573371137410785,0.9820155975010325,1.3010927306113775,1.1106588399249087,0.5331505630171923,0.42677403914245887,0.45097472803424526,0.3930125485251425,0.47917186481571566,0.4337795876486418,0.41766665181781465,0.4758219528936178,0.47553964331653126,0.6482716098846542,0.7738897771445895,0.9308018119796639,1.442262581777696,1.540058738681207,1.2958217432570065,0.9313681631055484,0.7247302955783022,0.6266399008732445,0.5394967418343843,0.4607401060848041,0.43856931653869224,0.4278456138272752,0.5558384150950891,0.4853999450389393,0.5573955064136422,0.8311518109614886,0.5618776933138053,0.5949985142755367,0.6228722592100266,0.6568114020790642,0.6791515573372743,0.7033326439537562,0.876290837139465,1.6161311428946925,1.2307533248376563,1.2321442380466467,1.2147317753330262,1.2013590019709528,1.1026322979851548,0.9548863910204256,1.24355217616961,0.811281362505269,0.7846524166709422,0.8936840652396747,0.817048510607279,0.8131357771873975,0.8088455045361397,0.7596597845116302,0.8358070313791641,0.9316354190633465,1.0650181450655036,0.9755634562756512,1.0203691551999858,1.228095696214447,1.337775720938395,1.3120105501204,1.4655639390348196,1.697072278597517,1.8122370565280144,1.781916352547938,1.6489600521774308,1.5443985454350808,1.0915585450359568,1.042921612500934,1.187389949459762,1.1082266264859333,1.4442498060434028,1.1903368158669372,1.3880502126476026,1.070924827739147,0.9982839349649536,0.9492720975922151,0.9469689290414297,1.0281003119375183,0.9404927882660711,0.9287289412965078,1.0754828193028216,1.1249762545220487,1.002793748427595,1.25251126102991,1.6166576491535247,1.3541728056559792,1.3907245353366655,0.9680434070081808,0.7535955175569932,0.8757358640320643,0.8546747997577667,0.9928451320428447,0.977918420032942,1.1063500660201353,1.0071270610046668,1.0572782053632543,1.0757399448222476,1.0836876999895042,1.1126206252178177,1.2970027918885514,1.4180342126128287,1.384799989676136,1.4072864111735175,1.5832018693049972,1.765634687578385,1.5452416489661347,1.5092231790671302,1.3278501473422155,1.2309711181788319,1.122802660981158,1.03628266058426,1.103408569972669,1.052314885988189,0.9494687339050876,0.9757951540479642,0.98587115814034,0.9249831806540006,1.0362433100564843,1.1892788704283745,1.0387690035139823,1.1624185922421728,1.1874239589417563,1.350876425395537,1.2206970981598906,1.1123472779716295,1.4208259525322104,1.3748641142114675,1.197693689305545,1.0640087686934854,0.9772412066991486,1.1724817024262322,0.9891753457130439,0.9572322870547442,1.1673936059201482,1.245434136634178,1.015468850526198,0.8388743349189411,0.8126681645246995,0.7764528472253935,0.7030356497455859,0.6603071486347319,0.7291876450341317,0.757089265774849,0.6015511728259533,0.7639270612332849,0.8314419299449706,0.5000783352749913,0.47967654049130865,0.6156724510270135,0.5547126161667495,1.4254145245728134,1.1668802499488191,2.3368983701797443],[0.9358237089663547,0.6646793576201643,0.621967940932991,0.4690366824522597,0.6481362461732355,0.44796704829993284,0.37542125075447236,0.4152649048673091,0.4104727115271402,0.31578232091105646,0.33897407756133324,0.4187024214165124,0.3334344382010568,0.3124305738359655,0.4516075878077759,0.3602454001987917,0.36426355153391765,0.3970636404446207,0.5244007834350228,0.45783565019184946,0.5545628732586352,0.6172354226258919,0.77826213630509,0.8378734307415187,0.8202664675133986,0.6224552531435847,0.4858178758120306,0.39738410493234777,0.379516616613346,0.3515562259112719,0.42757643668441325,0.3687503402847933,0.40076410678948793,0.39442980955032547,0.38261812911493903,0.3922613014692267,0.3655565037269019,0.4708413030541714,0.423537906120738,0.5185999850348717,0.534676722164536,0.5637666655485408,0.56017771122331,0.8259179994393271,1.4172571454487866,1.8501656199026517,2.261897815822222,1.267006379133338,2.5792716076927653,2.8285425431743927,1.5560396417960884,2.098961912478027,1.0800738996640602,0.8098425805744953,1.4141080432285806,0.9248733057207221,0.7073530179005999,1.7877576120944945,1.067489493623974,1.23597005385296,0.8594795321562851,0.6488084119994211,0.5571636783074815,0.6772049043583174,0.6498655291769226,0.5550168739734079,0.6766731123760376,0.5147170585115349,0.7132597477927074,0.6674059421225702,0.8189648034250289,1.0743410189075484,0.7971213556035097,0.8738502245428291,0.59940672108067,1.089037704303483,0.49316546987428383,0.4384485010957164,0.43530510584520077,0.5404232234378278,0.41800293663073634,0.6454872236900561,0.8838641024392042,0.6066764430839676,0.7708013764905102,0.44886711401378354,0.4372304837205031,0.4254289140222571,0.4405535972604533,0.46875885153909613,0.49455919427367917,0.7222317803093808,0.5810793088202382,0.4364809464717661,0.41949121753412366,0.546853884336714,0.5552077969540827,0.43048313657754955,0.4018849706115745,0.5937227927520197,0.39194208842786843,0.5495540391498457,0.42785586995611163,0.5482308488003006,0.583749916987574,0.5989596998451091,0.7039464672276073,0.7784959551755268,0.6946607052361913,0.6802166866329232,0.5709812123317066,0.44532209417673696,0.37832560998440934,0.367442143528886,0.3436550159551999,0.4707525434326668,0.4199417943643552,0.4709869457574374,0.6082943935094584,0.4285521214356904,0.48276061647936963,0.3750638621595151,0.40776800381724,0.3247278954836786,0.3024939450190204,0.4056340901528681,0.5708659917154812,0.500942104355522,0.5866414268229483,0.6096112795515202,0.679585041501699,0.7184218187811753,0.6601655352705974,0.6276544567340292,0.6099483343570696,0.6448700065450684,0.718432394867764,0.6062833621679983,0.6158910652488866,0.7022881481688331,0.672576614907888,0.7910586096017826,0.5068818897750684,0.47154354529594417,0.4588076596582404,0.4464775868544219,0.40700842691907607,0.3846030419651419,0.3634950243090565,0.4027285125072364,0.511075637993443,0.5338840911584335,0.9730724762329453,1.3222921725777035,1.1215708952509589,0.5037006676607456,0.40369698007344224,0.4203179822365822,0.3741170047558346,0.46747744651650275,0.4300749984408109,0.42154902100405484,0.47920410380728534,0.47707502518065115,0.6209635028970968,0.727104148243608,0.9136383240250934,1.4235262882466773,1.485902798614578,1.2264924789580494,0.8840955601714235,0.672643116460789,0.596316715346185,0.541083726432101,0.466004948881426,0.4185548380040959,0.418403770391534,0.5170047533846045,0.4864856311005824,0.5396671303102476,0.8818033148640649,0.5490820358444863,0.6037642819640403,0.63715845761889,0.655619551816941,0.700416576239183,0.7426950329089282,0.8939308000547118,1.5808177855689851,1.2010696214564365,1.2797504839878202,1.1876530645114383,1.1827174137875984,1.0705727214765737,1.0044535873338025,1.3476184420881852,0.864176757561216,0.8760693849441678,0.9838442923238343,0.8783064537190983,0.8896658958301623,0.8556126605738634,0.7977385354141278,0.9053564868384177,1.0016345262119433,1.1152560711224377,1.03325718219357,1.1117123812570586,1.3214713620146596,1.4195347846244446,1.421816655269708,1.6136172573619085,1.8359955413451494,1.9659838189430865,1.9743821162393544,1.7970460771040697,1.7437518220135224,1.2578482987088002,1.1887056575207433,1.346425099643192,1.2796699185278224,1.6002233518188638,1.362728846804901,1.4672958989298972,1.1717931693634884,1.0968345136665463,1.0136588747693018,1.0590374445228472,1.1674234801129457,1.0521676021724216,1.0405579610261393,1.2306704861159519,1.2607806396255885,1.1516483932888641,1.4337562172748508,1.8075186779243015,1.5079919222319904,1.5347640198082266,1.088772214684951,0.8356749033529134,0.9662253178235233,0.9240050269961659,1.0377073781504145,1.0141861647028911,1.1282637207314623,1.0426445245112412,1.1236487165440519,1.1349676831105033,1.1277758472020594,1.1754596202057779,1.3911197117315601,1.5166987744253213,1.4764049014419314,1.5248609070306962,1.7270938920071264,1.9036852538841995,1.696203921790152,1.674006716202666,1.4749534632274557,1.3608158612585295,1.2158894777651756,1.1499481158110068,1.2455681684540862,1.1677920132074155,1.0600873668961404,1.119210156814359,1.1307880961752348,1.0473173658337065,1.19591915429835,1.3630343172657169,1.1908123606453846,1.3238674735576383,1.3913495958979856,1.5354518267419688,1.392204278283306,1.2446059133087526,1.5874472912552453,1.4708342867994928,1.3232679307516717,1.155030950647043,1.084419392962622,1.2631176325236266,1.0900957793632533,1.0535109628193873,1.238120831268133,1.3025765730107928,1.1007454378998232,0.8889142870482487,0.8714649833894013,0.7779437539448799,0.7291897466789884,0.6779481360458652,0.7311145692215262,0.7362455063786065,0.5964138634055419,0.7364614296150479,0.788327785218059,0.4586131878631754,0.4686599948460848,0.6422894219045618,0.5533523493393668,1.3620164185179013,1.1490622815820544,2.3702701183065775],[0.966478629378652,0.517412715734225,0.6914768554243809,0.4612675004882361,0.6531575996988039,0.4707933732018164,0.41908115728086864,0.452237441164415,0.43991049878204747,0.3500655992620303,0.3522887879892417,0.46675707695883295,0.37518177579631556,0.332786094515775,0.45255291756984545,0.3934255867826569,0.39730787709061016,0.38264001310278817,0.46322340943373186,0.45181772884137483,0.5191914312595662,0.5908564254413443,0.7419436661596164,0.8032889227826794,0.8088186272564796,0.5945893071813055,0.4403772323797754,0.3795683808029298,0.39544224302407155,0.3618857393239081,0.4353814142385765,0.4028088615299316,0.4502178274876358,0.41758935155254157,0.4028061193501706,0.3984987292285191,0.3907442182695663,0.4334186076276732,0.43351307289739227,0.5064152102223161,0.4962860251598736,0.4944455194553962,0.4810236236276758,0.8031076619413551,1.3044002030323925,1.812293668645845,2.1649945976764196,1.1700966219183462,2.6579097276649155,2.90251353015461,1.5731278726354354,2.1480887365724946,1.000778612508912,0.7210281374604948,1.4089365727362406,0.8897211486388882,0.791271392475545,1.6802628799269468,0.999607581795171,1.1592145853687648,0.8225776840975354,0.6328508329232719,0.5447213938110411,0.629862236231334,0.6087403727677402,0.5181417855853847,0.6661228897438979,0.47286108209686156,0.6732604692284608,0.5940233003775951,0.7709477618199874,1.0282653236221808,0.7272214859065235,0.8301567652649374,0.5493297029937461,1.0681585306690307,0.4440416298252508,0.4088277184037301,0.41522249130480526,0.5091501998599196,0.4532622718094144,0.6269206127596482,0.977889489182019,0.6008934955096669,0.7390237450690373,0.4718047884710459,0.4421218818793499,0.44317759373258897,0.41604855972636606,0.4811548124304866,0.4754853706893631,0.7210637935337879,0.5658873054659346,0.4475371071950057,0.4408300165051606,0.5626374127918489,0.5850502033712957,0.4792118977900138,0.4424063643618637,0.619417755479267,0.4506450298084898,0.6038219677773381,0.46973160556176935,0.6112630899693163,0.6739402586928839,0.6761366947081796,0.7921147357541903,0.8179508317161184,0.7754321072977508,0.7487798099748554,0.613031653918489,0.48157673614011576,0.4294787693745537,0.40039280323095877,0.3934865795151829,0.43858144384602404,0.38749749931431265,0.4958696266826633,0.5656923588950626,0.4085991165515702,0.43691759899047883,0.3813022068087286,0.3634243646974751,0.3207263506440646,0.3537618264768752,0.4279334888232808,0.5242236950060537,0.5431506906133372,0.6623003567445174,0.6966813185168026,0.692663006128165,0.7405174891066783,0.7120634047388534,0.6953103577254397,0.6824198319037156,0.7623729736664598,0.872822717843319,0.7030783341593624,0.6533423538651516,0.7160192180967831,0.6396984199643281,0.7293782522549322,0.48322809915901166,0.4558199568724903,0.453057975048155,0.4570340243973637,0.4348198272244009,0.44039847072315486,0.4047285893666758,0.4553920393117517,0.5361344872340214,0.5555534557468478,1.045275686910494,1.2822018529047217,1.0570463087906063,0.5205455533261826,0.4204481474526514,0.4875715641848235,0.4068466373226254,0.514419861713056,0.48788191669932773,0.4564458998583606,0.5152126086343887,0.5170201238935556,0.6897010900261679,0.7893257665529136,0.9763095470588125,1.479541617530162,1.5781889572326648,1.3238249069823917,0.983358337873675,0.7694673140806648,0.6779484736427861,0.5883439324421489,0.4862360152496535,0.4916146637211966,0.4442748681758998,0.5894453961215989,0.5117894697150065,0.6223109633634671,0.8328112631425256,0.6436406775850809,0.673348095842805,0.6699369461858179,0.6995390052940407,0.6837855743518725,0.6915750128350019,0.8845393213560729,1.6024336815463665,1.2411847312083237,1.2499016884444332,1.2356383713473114,1.235337708960136,1.13627112591206,0.9564527666134598,1.211941790321492,0.834935123101065,0.8263152644356213,0.9339043040941533,0.8661686948501012,0.9479891953874913,0.997421876213419,0.8954097781236021,0.9710349095775168,1.1470290896681687,1.2937323393216127,1.1267228825518063,1.2245625342804705,1.5325322406614281,1.5833882250493088,1.5489550862656964,1.793810214806192,2.0449035772197806,2.1051455121030593,2.086933238755814,1.853963341288429,1.8884397503488235,1.2967365197955734,1.2748628467887264,1.4813450893537714,1.3745094098796995,1.7195079564212128,1.4788055066506494,1.6682997390212726,1.312270971982369,1.234603221588216,1.1609137749871925,1.0956172413374703,1.2227601828423675,1.0752913934897483,1.040823814310568,1.1917738608719906,1.231721287297557,1.0766133390469563,1.2890844937322699,1.678684267536538,1.3976537532011517,1.3900797417457826,1.023262796971709,0.8566461504612455,0.9809224920186588,1.044454003192476,1.1892846821019147,1.2448216075747556,1.3290701215565388,1.2269012083790185,1.3625951729437715,1.400295731182884,1.340775133874805,1.4198861211058946,1.6787038377004744,1.805335305869079,1.7381294564689638,1.7890953953912239,2.0181519326898405,2.1616841548263825,1.943074886995211,1.9340773014596369,1.7066787623703628,1.5955624055242317,1.4423524461645822,1.3368534903166767,1.4294647148519186,1.3370344064877986,1.1968950904163886,1.2167920670177612,1.2272328352543602,1.0878163716941383,1.1928273099746487,1.355735265048385,1.175410877446844,1.2490984839641353,1.3038104223517164,1.4844485960575027,1.3410563706035368,1.2362074689600686,1.5087122116261618,1.4619236826803044,1.3520527559707323,1.1333089793342088,1.1232426907570177,1.3256489723559302,1.0876965464131934,1.1217420412204906,1.2543958730805425,1.323918785857178,1.1014851746222651,0.9087356784934381,0.8573841500738237,0.8377679315458724,0.7349736017841249,0.6915517062350486,0.7323082308403586,0.6767130839247325,0.634076977073096,0.6918322191277059,0.7698259403033876,0.4786962607776961,0.553010101937317,0.8223183917914628,0.7055627304918491,1.3901286978411542,1.2397189528813273,2.545785938308685],[0.8526755772055818,0.47020171162743496,0.6077517440707387,0.43476561193131735,0.6164327086872184,0.48946634925088794,0.46875387475570335,0.48155200047748764,0.5393985726020626,0.5142164031601336,0.5369423160792408,0.5686752412903067,0.507086873814191,0.5403267956902648,0.6451935019127766,0.5624140465074614,0.5991449953580054,0.6091911297259407,0.6497928206021069,0.6232087230402044,0.7052039814859389,0.7317330679463686,0.8456763642717717,0.9260786295852683,0.8687000565509942,0.7269786235018083,0.5830616338894525,0.5301833039930484,0.5510252739764063,0.5183431494183314,0.6426959770582266,0.570075570348226,0.6324257762441567,0.6174801437111062,0.5776451131231874,0.5758014919220145,0.5067929132690983,0.5422250704857162,0.5482616731366788,0.5813041124487577,0.5950002072364505,0.6189328762629964,0.6166266739344953,0.856802256700164,1.269027934901352,1.8430333510033705,2.107611969270455,1.1538401404716403,2.602029524772985,2.7469495820270735,1.481961747223894,2.2386574716547933,1.0414469157207846,0.7946568150208472,1.4879059283248235,0.9077397970774846,0.8217545647534903,1.9194793750591046,1.1447212949915784,1.2844132295111312,0.9704571898852048,0.7722795705745211,0.7322978132774647,0.8331984564187298,0.7711424150176914,0.6815732405658464,0.8400524229989722,0.6815582246212668,0.8416193165355099,0.803523290996502,0.9517006112560898,1.169105646948771,0.949711217654482,1.0206384564281454,0.7542068975692664,1.282994793164354,0.6677937728742085,0.632496132481622,0.6047406510012834,0.6461085401414259,0.558927007904219,0.7045992911241802,1.0110645902229685,0.5934159734240921,0.7692670293834314,0.5337890388819438,0.5545966454333315,0.5427860278304674,0.5872662929467983,0.6532095792321251,0.6743089684340323,0.8974099500447715,0.7656136989493516,0.657056229500019,0.637957089676319,0.7548194760924004,0.7598892499590864,0.6382070076049192,0.5738632841829499,0.6948815546683847,0.5566467343062099,0.609628892740668,0.4993247966689487,0.5929123669010296,0.6465674146152991,0.6140398265565546,0.7136119509419978,0.7329939993728517,0.6810074403683062,0.7024696327720581,0.546989705474776,0.4766572083925761,0.46423167237864277,0.45430920043514755,0.5480396278126574,0.5527795666832862,0.5414185553335902,0.6194941504632048,0.738941182755569,0.6225776116023269,0.6539348717243357,0.5738753363439781,0.5333655029475133,0.4865873274311737,0.4773846306896779,0.4659342042611571,0.48143163509152376,0.5154450784261131,0.6019514857187506,0.6532465553790957,0.6064388278919354,0.6432179989437337,0.6519931016945109,0.6463061008003297,0.6390621745492943,0.728538587956817,0.8534492612248202,0.6952908957820929,0.6665794242850472,0.7956930906770329,0.6718106072835438,0.7808539026553553,0.601250534951226,0.5567066117926837,0.5438538063934577,0.5575428328721824,0.5159430550665282,0.526204542156357,0.4649004558203324,0.5095223699776662,0.528963446211533,0.607227435736836,1.0750031436997474,1.4253651100981009,1.1791870767120622,0.5965524856862902,0.5051625441720696,0.5255799231624131,0.46832332941690474,0.5178326260796017,0.5164425841703377,0.514341728424914,0.5613583600312064,0.5558150347131245,0.7081965505430597,0.7939501325227777,0.9549985922346655,1.4305608169130486,1.535161964324411,1.3116504523051977,0.9586691775097971,0.7704817236263195,0.6854377665809096,0.5511577558219033,0.47568166957701297,0.49413119508454656,0.48570043793877604,0.6158625605279806,0.5307239995188692,0.5967567387177306,0.7850690400798974,0.5987070525587295,0.6347174326900834,0.6257304330964811,0.6718530985026612,0.6782782419199306,0.7205236795286591,0.9294782080695252,1.6298738866601798,1.2664156380457965,1.3099098201442536,1.3084164616584306,1.249613428031037,1.1450263658546391,0.9017578779111081,1.164317158750543,0.7761243276003977,0.7402349505115194,0.8496534933047293,0.7743835414618246,0.8475187011801683,0.920902799115186,0.8147348722422985,0.8762574314195705,1.0720600258635875,1.2485012317472515,1.0471748769293523,1.1437023329260438,1.4889646477584735,1.5237163866796692,1.4619041843517246,1.721141230725466,2.0024301024347673,1.9718115049518192,1.9710845907268202,1.746823521944685,1.8073860381028377,1.2351220953989337,1.1990048885358993,1.4188639918702406,1.3006444797728935,1.662125830569636,1.417293473922822,1.6512946202941496,1.2477181693749257,1.1575706061359687,1.095427534164559,0.9878421186664899,1.1079223449867541,0.9706250217704672,0.9296180450893727,1.0686253483801025,1.128970680985327,0.9646425065265352,1.2152176831464327,1.5977544717502055,1.3332163316920413,1.3505389588328127,0.9287854736874065,0.753159830241705,0.8769177114083948,0.9659096412809495,1.140808550276276,1.2206545164017752,1.3210299703567177,1.1812955427707426,1.329097484764518,1.407661213234991,1.3354948935178563,1.4075337252938185,1.7034872249405733,1.855071135660177,1.7480787885301974,1.7909832994431267,2.0522406812343403,2.201067697180831,1.9344411324126443,1.9338571050321152,1.6697383245098734,1.5582743097817646,1.3984117361345105,1.2738728900874685,1.371658682478393,1.2646110855176522,1.1136484352682718,1.1314518974324765,1.145379913156833,0.992228501388171,1.1011912191956672,1.2851189589966792,1.1015793292601312,1.1771182679370622,1.244327371212927,1.4503316607580548,1.2992337930721063,1.1856484869728658,1.5001211800173702,1.4551644365871526,1.3336190072617449,1.1099076984932779,1.055826284079657,1.2168503950279461,1.0002698487140484,1.034430778670454,1.2083754075637514,1.26105587373689,1.0205585413268086,0.8270942139428082,0.7678024575732997,0.8397783297419509,0.6461843457408667,0.5957574280357372,0.6187254924653547,0.6261223778634558,0.5657162730759668,0.5836697719513052,0.6514618379741964,0.4748275643391335,0.555061002297601,0.7619791898580737,0.7418544356702315,1.332598659536668,1.3870113681651695,2.596304023912381],[0.8073351050009212,0.4490365130568987,0.6287190524180166,0.45434728696607923,0.6693281983189684,0.5255139672890414,0.5045707171224091,0.5014245177672318,0.5192694030229634,0.45584856284921355,0.44680038463760013,0.5428959954247675,0.47539540113034723,0.44918711383276577,0.5478152660128724,0.5095631464097935,0.5088972518293847,0.49131790903936295,0.5273607108487562,0.5403823828296312,0.59699427007946,0.655274647530217,0.7685082448501579,0.8267234485352682,0.8658568672297015,0.6539676293666039,0.5146567925641927,0.4757961390684492,0.5053627085057694,0.4786341837627121,0.5286637511750065,0.5070579515439172,0.5405094724397781,0.5125051130523548,0.5113078296875827,0.5015334431549566,0.5022680924988887,0.5103730638784706,0.527582958405395,0.5777103283010364,0.5508655579048573,0.5445269553923392,0.5331314591417642,0.8566714965928792,1.2119168603893624,1.765919587951388,2.036375067797378,1.1154877355989061,2.6975624578263275,2.8902970329919038,1.5425734546448266,2.2204982078557753,0.9841434320943315,0.7091071242715922,1.4355752621449032,0.9345468882032828,0.9505292380616511,1.630313013856409,0.988887511563756,1.131941352698773,0.8531494267542864,0.6970711151942045,0.6315501416883749,0.6678962036688881,0.654369301480633,0.5937591413871776,0.7300418692165963,0.5402989500120722,0.71306267042713,0.6368587759583756,0.8000565310422634,1.0553154523253352,0.7530406224806769,0.8432510595878187,0.6137428641919376,1.095089496210514,0.5223337797420103,0.4930434734028527,0.5128572917287173,0.5821800275514196,0.5532341752814084,0.6779495215337706,1.0513181922501869,0.6304553470949998,0.7768499452663368,0.5606031733164967,0.5427997243009915,0.5387221637268037,0.5085900177933628,0.5670594497247967,0.5528838555810499,0.7752892699397476,0.629292423944538,0.5419379955439593,0.538088146830849,0.632711902036046,0.6584826960751223,0.5552679736638566,0.5101516392929805,0.6446303646912189,0.5079030791838668,0.6171608577773672,0.5300971249648107,0.6509844388540013,0.7084164981218785,0.7002808356521812,0.7936681596416544,0.8002670647613461,0.7749010748036604,0.7710044210228364,0.6195265406419089,0.5299819766499574,0.5155566373157492,0.49481510074198326,0.5084678004393299,0.5214301216883889,0.48341266974491176,0.6028778115592622,0.6259239317476393,0.5137781587000781,0.5160759353356293,0.49850798598520246,0.45837720459404274,0.4401049013175539,0.4723595913398251,0.5221907650828227,0.5368727639651276,0.5892148351896276,0.693495429956188,0.7381559452468262,0.6727873567798931,0.7060486599296871,0.7168529563872251,0.7156631783482444,0.7249139559974844,0.8344975135064301,0.9665088927886789,0.7950650092554566,0.7133094110065549,0.7457931295512068,0.6704270622691892,0.7596282911790422,0.5549858479647695,0.5308989183080864,0.5305862647035882,0.5450263591119004,0.5303253652727161,0.53967994327604,0.4998366630638814,0.5333158766109269,0.5712611141730956,0.6050300397348203,1.0842645122405559,1.2919570089659995,1.0449941171569401,0.5569313061778188,0.4769258648394832,0.5393841655215891,0.48500056836634214,0.5839248835823315,0.5561629716051724,0.5410409666939471,0.5919233942753903,0.5922946021025487,0.7823042035133817,0.8588790988973334,1.0029040877200817,1.466150254398471,1.599913325544292,1.3810495209354232,1.0388714049120542,0.8515821963586241,0.7540443957158737,0.6290781494481855,0.5447256781520485,0.5568551461090159,0.5284837442644859,0.6796237155216616,0.5694741016985769,0.6836065564056965,0.7936176404456855,0.6866254286235666,0.6958171084337909,0.6805438460569943,0.7290204568366373,0.6939182291708537,0.7026390649839853,0.897440335822721,1.6154394108173442,1.2665028592659515,1.2252527926035008,1.3143389720815497,1.2690840959112328,1.1749687460447575,0.9292739640177201,1.1178221415611242,0.8326383471523898,0.7570579637869863,0.8540665896421528,0.8109816208141831,0.8940086328393713,0.987308546333184,0.8736193576109905,0.9106656674211123,1.1117995730021755,1.2865802520327088,1.0640083130583535,1.1464374239060269,1.4979532642551647,1.5313433345215115,1.440399644752178,1.6825362035206288,1.9770904122655506,1.935954272165154,1.8862225700798094,1.6659923382818396,1.7036333504152394,1.1402743971348166,1.141869566276527,1.3557197900692932,1.2377069023353857,1.5842920289739104,1.3523709808449305,1.6606566489526426,1.2518568506564978,1.183480942165116,1.1510465239660634,1.0211582091903046,1.112324265393922,0.978008461013836,0.955451652701305,1.0422733962826765,1.1017213024211074,0.9261038774819821,1.1131967878379736,1.464472376506417,1.2431593487538424,1.2531813847768924,0.8998629510858059,0.8142811386942854,0.9227690939590582,1.0266241157118545,1.2112349750424178,1.2811165608176927,1.3849658879544375,1.2589700776345776,1.376536905766641,1.4465369944767015,1.3815318997095904,1.442880497184327,1.7063980240285093,1.8399870412197696,1.7489731510311124,1.7760930835076683,2.0068472647145166,2.149990578142348,1.8921640160036401,1.879368249915948,1.6389621429242944,1.5477690329383633,1.4199672090305133,1.2894160448859473,1.3544492978361389,1.266932292689669,1.1333508299905755,1.109143287494545,1.1115248944920109,0.9823682069874212,1.0497315255399284,1.2071384212142464,1.0419950523011954,1.1061892319879894,1.13706208036293,1.3466251665369111,1.1997346469296388,1.1308874904533743,1.3790594803905751,1.4104270488792625,1.2780650294788027,1.066544339864875,1.0166640180692617,1.1914521068884982,0.9618024252741679,1.051258026713397,1.2100380653244345,1.2775767229928472,1.016006266800891,0.8609580060335886,0.7990547770069724,0.892272335975835,0.6970064971356744,0.6442020052214256,0.6575164997096148,0.643325636800629,0.6204428026260864,0.6191353904009699,0.7025538058311163,0.49617555015396614,0.5405892227218859,0.7810648237522861,0.6950492284226699,1.3772085094005087,1.2657117066213708,2.5359451659840366],[0.6787886635027415,0.5420686930263772,0.6392120534208394,0.5696296118897008,0.7608719248521356,0.6333769568969985,0.62657001143078,0.5662538443550382,0.5574891823259109,0.5136944243323539,0.4702518291117832,0.5602964209076451,0.5387551212941325,0.4870794986015515,0.5643869974485165,0.5572968515699958,0.5773463424389853,0.5456271829135011,0.5722365321285959,0.6136254926524335,0.6488296069861595,0.7227556025158592,0.7968204346067214,0.8636167774724154,0.9188740606468558,0.7123054946073331,0.6082267510819831,0.5718097543541661,0.592735167851093,0.5632106248620604,0.5661654344430288,0.5711978801556727,0.5795085046492398,0.5561649456062104,0.574340732924217,0.5726570952086619,0.5919608934674483,0.6096690921971298,0.6637022596027706,0.7115219570709506,0.6700552641865541,0.632153192105105,0.6381340320382732,0.9517247982278902,1.1490682154056722,1.7478156401692218,1.9368269422417395,1.121130925500414,2.74925171724958,2.8997459120968188,1.5705861044222653,2.3225768553675596,1.0179698634195178,0.7877697467506912,1.5135815446166685,0.979950977428771,1.08151600106553,1.6792850816324587,1.0657859743982288,1.167379982890487,0.9143278705435013,0.7614154725238848,0.6852053322690562,0.6962013000232472,0.707215930622543,0.6523703063383894,0.7543806119601653,0.5725836694743613,0.707803619248155,0.6344161427610909,0.7932702831870546,1.0326655741934045,0.7286891713831866,0.8252419409695242,0.6334018404226941,1.0947103928563195,0.5741591087283981,0.5386174553364201,0.5812620885369214,0.6483763318055551,0.6522775208378447,0.7591445831828059,1.1337860555481187,0.7369290996398836,0.8678511249026186,0.6749308151028787,0.6534875803698607,0.624958226153925,0.5833418284932159,0.6164285338139724,0.5757891435748871,0.7742260926969546,0.6192307398597878,0.5528794375234187,0.5523988402317342,0.6218869674616485,0.6573939256651428,0.5763026131587691,0.5398262190210124,0.6499636234610847,0.5683341418395387,0.663524084657197,0.6042650993742126,0.7164918988403024,0.8231042907350461,0.8088981558416881,0.8749698031380967,0.905318984979777,0.8823027093667388,0.8776835508589783,0.7414642960010809,0.6858248402759877,0.6534394665499089,0.639179362012239,0.6329416075855823,0.6070797417029143,0.5720574199997308,0.7130650361467943,0.6648958093920133,0.5675872061800551,0.5566514853229841,0.5548506919690152,0.5194591598686685,0.5390872717544257,0.6009736586182634,0.6852033830952962,0.6685053469640275,0.7697307870628024,0.8473442092803324,0.9126508006436082,0.809387425436098,0.8129860442399727,0.8963248886071012,0.8880487211779801,0.929951194703063,1.0369466057209034,1.195810457508938,1.0024876014648498,0.8890963762189575,0.8902993599718912,0.7429108792728069,0.8127028445943029,0.6640066247160138,0.6557273532597039,0.6629766707853295,0.6667395439830598,0.6600230945558231,0.6671058155036923,0.6363357408214055,0.6244981861738302,0.6403957674426234,0.6468693597926433,1.0948167291807676,1.326918729055444,1.0773689100003072,0.5838389774415136,0.528764943743352,0.6159902907527699,0.5730180329594948,0.6873966980240551,0.7224323685252974,0.6814421258175503,0.7586978538582191,0.7513608021485364,0.9825740247538791,1.0206223719837104,1.1518424549868844,1.5517025446678916,1.7247590764428122,1.5351468863445887,1.226087607330098,1.0611873903949782,0.9557970252447807,0.7802022237731584,0.6834331798086791,0.6960511058927196,0.6328468338936666,0.777758085633393,0.6982243159326682,0.8137661688260015,0.8578257108823042,0.8444913738176169,0.859736702136604,0.8373574676061252,0.89314170058859,0.818500328233427,0.8033224542409997,1.0070554931130289,1.6791710256620669,1.358444351245798,1.333990072111877,1.4792198211953511,1.4368274357696387,1.3810115013300581,1.0662152681161332,1.1274123695734173,0.9844619762633023,0.8346268976192418,0.8872440058800406,0.8737152846599735,0.9813154931659079,1.1100231423112656,0.9861221712052881,0.9884363272936731,1.204085704603533,1.3942724464541143,1.12657693147148,1.1851471301136116,1.5405878697424658,1.558855081449618,1.4117904108730284,1.6214256022567657,1.9332883116662607,1.7865462886859984,1.7092876232393979,1.5620457000456587,1.5551668334771274,1.0736042962327377,1.1029527084636201,1.3070477486093923,1.1916794414083978,1.533329541984365,1.3129189086719348,1.745583531433459,1.3271019100914752,1.266069720094749,1.2739705425470151,1.0853365966521988,1.1155142260845257,1.018647302653915,0.9904060387995512,1.0195722262428943,1.0902889191834588,0.8899504881798419,1.0381860816022046,1.2993059487292817,1.1389244218714851,1.1941267909531779,0.8828480018923627,0.9302845660222684,1.020953083543489,1.1428923316252353,1.340308434323913,1.4167305792277092,1.5277063489802039,1.3894093752932732,1.4725494756913402,1.5544999877856953,1.500354327446597,1.5532228467818576,1.785856673124648,1.9125538475631612,1.8109837487667326,1.8039070447471808,2.009178821096423,2.1508316226100668,1.8606505085993306,1.8384808563014143,1.616993582899137,1.566608831393532,1.4888577674722023,1.3497487958664194,1.3692766388233,1.2974006410518333,1.195519939488554,1.1171769713303328,1.1053062677015708,1.003792384919324,1.03559629505894,1.130366172307024,0.9971545179800395,1.0333555565871804,1.020704324271422,1.2490926826372304,1.0985650212837084,1.045825569176758,1.2360569640486079,1.3189486447158045,1.1986749711547597,1.0421287405905295,1.0211543671291863,1.1610659842121491,0.9524473670445562,1.0032839586920197,1.1163489197649976,1.2229342121804596,1.0142453445119533,0.9063902782958008,0.8560231174228141,1.0442676163256766,0.7169004512312078,0.7088509736736198,0.6622911511013303,0.6565050739895558,0.7059841493427217,0.6089989721995264,0.6360939184371268,0.5602592589748968,0.5989211684485872,0.7408579417598069,0.67417739136124,1.4542457439593304,1.295384251577249,2.467938943221312],[0.9654259310673802,0.7492610494428058,0.6453317023976138,0.6081605981825529,0.815354340651782,0.6100618302896849,0.6017811576240515,0.5721576420982749,0.5540326345369597,0.5403708742455815,0.5097870875997672,0.6068529816178495,0.6034653078072055,0.5628160909241519,0.6112703080651536,0.6248870271588574,0.6588370596032743,0.6357459812736107,0.6650479876146729,0.7045393302964943,0.7367371702608633,0.8153436822638753,0.8998234278123309,0.9812333503028052,0.9966502700097175,0.7881802796326774,0.7139921934947674,0.6708103196828575,0.6900002710354282,0.6321503942603032,0.6129411030933771,0.6365910264538839,0.6205177248547884,0.6303474195784357,0.6639478502471645,0.663373053722888,0.6807135656400859,0.7224838353571295,0.7649115423320021,0.817311904415914,0.7942263481021742,0.7578102954699703,0.7533255245540398,1.0512094885492584,1.2507933923563634,1.7878516301954601,2.0444794681861316,1.2395904042478998,2.877371278145956,3.1741785976464576,1.81429104804262,2.304491498177784,1.0996904075391962,0.9101602234253092,1.5388640349024516,1.0612759052860536,1.1378313830661082,1.600311189110143,1.1181007244072474,1.2949840378155981,0.9973214153045985,0.8602563243479654,0.7772935111553488,0.7903815333337431,0.8081524707432384,0.7497967576836838,0.8456566456759965,0.6946814212715055,0.7995283814157603,0.7161817389927795,0.8652083141581495,1.0529635351771514,0.7730234515079807,0.8742333132941726,0.7231909376602089,1.062478188103929,0.6793294560445793,0.6405037344348441,0.699708122824927,0.7704386475707041,0.7514446451695944,0.859569477434727,1.139941538878744,0.8363045028470684,0.9147527743630122,0.7677264688405097,0.7447567586001833,0.7305290901564804,0.6875940125405138,0.7074035369749749,0.6670130900997782,0.8007327627995217,0.6551490436909685,0.6091592431739751,0.6112964242339244,0.6495320067673825,0.6792259208877607,0.5935717607886186,0.5701219440361617,0.6734693659904946,0.6141393296593898,0.7116033439879923,0.6913218702664187,0.7738416565355868,0.881819700211052,0.8521331108757811,0.9090172420914376,0.9732735560192143,0.9312539119801253,0.8678644054352433,0.7546150519888495,0.71735669275857,0.672585488387576,0.7168926958995243,0.6889883845271045,0.677445303766199,0.6612611337921255,0.8311214241979762,0.731208096754673,0.6524033378657038,0.625126943788013,0.635868800241232,0.612154805622026,0.6096243656230776,0.6364874881576738,0.747645477843569,0.6803871504149634,0.8206897413286004,0.9228089362979423,0.9583552192343179,0.9160341031314063,0.9051885906541245,0.9896233833456819,0.9522719559097155,1.0163102969535358,1.1233153666330637,1.3015713474773916,1.1098177421817987,1.019809175951049,0.9630791587096965,0.8657120019949941,0.918630887141088,0.7781221285590992,0.7789699965540043,0.7885597373266896,0.7601847139092014,0.7584734835284178,0.7415744760866849,0.691150760997355,0.6461215918388921,0.669142818538835,0.6183778455289441,1.0076188402507409,1.2340664526338756,1.0434697810500386,0.5865973998220538,0.547292063634105,0.6288579331918122,0.6360586727170398,0.7434043111256867,0.7947974360919103,0.7735100393032108,0.8606244648601712,0.8651022140518394,1.0975430891120246,1.1791593153777358,1.3075477643500961,1.7384561715944487,1.878862971058306,1.6582616594343065,1.3478374347739728,1.1604249480116167,1.04165282435963,0.8799036895444569,0.7756923000972064,0.7608798013748311,0.697258913030523,0.8240429062790925,0.792091799166897,0.8757574712178974,0.9734186455850666,0.9164013731513814,0.9535641901419317,0.9516430648554665,0.9987646637188885,0.9370192063457454,0.9079625440678096,1.1386485454248243,1.7788060795794995,1.4836863373781992,1.4138461887914988,1.5188833363897014,1.513975583511928,1.4334390614174557,1.1704126325430482,1.2519968735063194,1.0909439188072214,0.9379467256185662,0.9802271482772997,0.9413159554349436,0.9963616640060639,1.0654088785007225,0.9870085998939939,0.9980763425213123,1.1284995451779098,1.2886701956488154,1.1301811031005957,1.1325285556700873,1.3747938339229326,1.4526120631596284,1.354042142935027,1.4818459442167713,1.7262631721892652,1.752722389995678,1.639070593833026,1.552457251337498,1.4166171976098678,1.0274917154651408,1.0392825901356977,1.1880451020999545,1.120628269310477,1.4299469685166593,1.1911332175269256,1.5648301353257,1.2313682679238687,1.1617829128355943,1.179353170950291,1.0476147454716693,1.0997438123465775,1.0147329861919305,1.0076933133809163,1.082107200106139,1.142268481527072,0.9626300364456756,1.121186281126439,1.4179861207672084,1.2345573835387413,1.2666580523558526,0.9647243059674051,0.9839471499313635,1.048911289376883,1.1012594607704032,1.2620975625959288,1.2602126634529494,1.3694234301032273,1.2932800597785234,1.2975266621108552,1.3335524068473117,1.3181893970860088,1.3537485082324374,1.4976518146004938,1.5906383567924456,1.555051940463061,1.5388729160098993,1.675625636670328,1.8199908722550138,1.5969602212767229,1.5523691692270192,1.400056792073247,1.3635678318164326,1.3176093388698062,1.2000316507281292,1.2108147405430878,1.1855255218036707,1.1166133871630477,1.0527850301484754,1.046355999137124,1.0088033552193092,1.0487573693618557,1.1452407377252771,1.024960754945604,1.1006736252996165,1.076138296924965,1.2576022962136675,1.1286481461359101,1.072316085970285,1.2318995659433987,1.3199252938309776,1.1617223835544148,1.0369409779113725,1.0130569503670805,1.2175014376307034,0.954525630860524,1.0635858081736778,1.1645763776702815,1.3186894221361602,1.0845726499887023,0.9816921732954529,0.9360579415636482,1.0572264733574128,0.781985992479733,0.7346621554993247,0.7009098531401945,0.699576751489492,0.6711992397788797,0.6917133170537346,0.7833534523281968,0.560606562084524,0.5252669426218025,0.7248167882739001,0.6503479172005157,1.5920252273078321,1.2981486121471668,2.490555769322853],[0.6383855638202645,0.751625335395614,0.5321656442772792,0.4568541823296188,0.6562359629419646,0.45483803810573803,0.4413123431718825,0.4645315953981993,0.4202347831550091,0.3642290799432304,0.37702893118240055,0.5077962497771238,0.4445828824871287,0.3683367274085754,0.4347871480654398,0.45296339774922056,0.4473425702975244,0.432819582526299,0.4568428255795127,0.49081774274487766,0.5120147077128012,0.600267052899013,0.6915008423834738,0.7544950633876395,0.8122315199907508,0.5734338668623451,0.4890770729908646,0.45482574048798174,0.48273161825803634,0.4497658894387533,0.4590081438162082,0.436955605183551,0.47939999653186727,0.44100049138218256,0.460825798575898,0.45459314342524,0.47588838895480606,0.4899147855738252,0.5289027786739456,0.5709193361015332,0.5425979381240033,0.5208762833558439,0.5362317726286875,0.8897903439340769,1.1706509361497857,1.6723271481377795,1.9333056667858863,1.1152803821475175,2.6963501772544087,2.894003327600248,1.4983133255621321,2.1190312066705577,0.9306237830318974,0.6925884925997854,1.54318155997021,0.9362469241259921,1.193915649514146,1.4275092559319928,0.9347492424185272,0.9936026467045936,0.7482891693517398,0.6391807460584571,0.5762946034093764,0.5570531788804182,0.5713582759884299,0.5222150785964315,0.6605741302788736,0.4751065507207355,0.6278662649804846,0.5504729540567465,0.7532731904273892,1.036870766801147,0.6925290797344865,0.6934109876532234,0.5406702535863657,0.9209176395985732,0.4589186586463707,0.46331362146119054,0.47062107004358283,0.5447431119497756,0.5300200635504042,0.6170021351602911,1.0332830511055593,0.6276552730675796,0.7268589620760254,0.5364272088081391,0.5143052655028384,0.531634162693016,0.4594500474220732,0.5217669379228235,0.4733288798744964,0.6694590785767193,0.5165355298127737,0.44942986240852484,0.4547219294592184,0.5290912743985253,0.5985250462307213,0.48623755970041493,0.48091058616733157,0.6780440932759512,0.4896303142162892,0.6259777649240094,0.5222104396601679,0.6440546286090828,0.7051432221390356,0.7300814626072817,0.8739465201785902,0.7884333425823687,0.7961688494191843,0.7809443003237513,0.6317268200579685,0.5206676288441429,0.4691826669230945,0.5041510170292504,0.4510754784157318,0.4807941637369748,0.478228848371288,0.6231506744888476,0.5078458185075346,0.46024716086260326,0.43135874856378936,0.4289952017209296,0.40637794169781016,0.38411452035311316,0.41029145987057924,0.5433545498966441,0.5525482057265103,0.6030408574741334,0.7129944973553209,0.7638910622590737,0.6901319175030743,0.7234235491418032,0.7565261116146337,0.7717839401015859,0.7769979558836296,0.8648164136320589,1.0620651353750552,0.8804945593433307,0.7956960234987892,0.6654192076328579,0.6803009627618658,0.7091497983384515,0.564640935164942,0.5359536386026288,0.5221083025309297,0.524055726665381,0.5330451229588271,0.5030548693728089,0.4647852617684334,0.48709484352292226,0.5494231989162688,0.5480992701898274,1.0099717209482015,1.2504500246677204,1.0347505372799957,0.5623751201712067,0.4637609710024752,0.5114108592496432,0.4627177611708725,0.5639076938508907,0.564792817509227,0.5279146637651551,0.6055206466060363,0.597324634774317,0.86467256728452,0.8768834126200947,0.9983003410206603,1.3869404148728173,1.5736356380391896,1.4098522966559806,1.0879938226524362,0.8995283952849283,0.778732686435663,0.6576739871788403,0.5408362589402685,0.5461685586860889,0.5167266830536561,0.6606691684485554,0.5665899582864526,0.7132008928290438,0.813208386108042,0.690744611075964,0.6959548784963097,0.6815752844844143,0.7327673163144195,0.6600638076260978,0.6723537281528047,0.8595444562245728,1.5505523522091165,1.1795231923275655,1.2002876895543382,1.2580194525497612,1.2154495508639076,1.196359410951255,0.8760175995126065,0.9009242242202327,0.9078738356940632,0.7287470812962581,0.7703665413566265,0.7753082132545809,0.8678264955537699,0.98529685817155,0.8570130592908622,0.8531664596294884,1.0587311306172202,1.2161791232967092,0.949019274965974,0.9889872567910994,1.3275437850653944,1.3209105893089037,1.1221295395283495,1.3078556356644506,1.6099214310062318,1.3647663676842587,1.2936109391916653,1.1961201909594594,1.229621503241096,0.8543418552612524,0.879702211901082,1.047911396604637,0.9762853895915456,1.3807677935959288,1.0881407422715776,1.6215892404644585,1.15701790302592,1.1359900085822865,1.143903924607654,0.987195743769982,0.9909156473650559,0.8968727956519393,0.9137762194422238,0.8933403159790562,0.962055931179812,0.7855953609695964,0.9385909097139079,1.1335166312885259,1.010611400923046,1.0531177295204985,0.7753472467669821,0.832715889682914,0.9152319613397437,1.0344330312319996,1.2508860896493812,1.2917210581574703,1.395136857688743,1.2704854371869443,1.3204808910902501,1.3907484833951729,1.3519763016406072,1.3838930891354326,1.5661739793213088,1.6713797757880795,1.5853911972291552,1.5657491516254065,1.7324751861210526,1.8628070409923558,1.5793746303753653,1.5565197324946054,1.3669761482810416,1.347936601584847,1.3030654653936509,1.178651694756519,1.163773671110397,1.1044205185069407,1.044555468307742,0.9453709628933769,0.9141521204251699,0.8665110198753185,0.8946127151464889,0.9772774018506724,0.865303721656436,0.926560148052041,0.910887836252645,1.1360461893853266,0.9923798890583009,0.950316881142208,1.0776689293932942,1.2413755052132192,1.1306530561039456,1.0083168283559598,0.862360868960102,0.8569635737358294,0.9778552133602568,0.9481936534408493,1.0809464935235378,1.1504300588856722,0.8942939585271148,0.8118049120950004,0.7477153952549339,0.9214527671898067,0.6806339706761507,0.6424035236993876,0.6731139659087456,0.6913023658452623,0.6271383246043291,0.6632475638642008,0.7974813437537417,0.4640657609771269,0.36990290084516586,0.600135864654779,0.5560751920563258,1.3170581324701778,1.12588101227609,2.467448772816416],[0.858675465161584,0.4383328024899924,0.5317762119560433,0.311187259100613,0.415835427116453,0.3546837129859718,0.38058472425032114,0.45049340630038326,0.44336491768161357,0.41286145447570244,0.4767286801777517,0.557222727886372,0.4746580703600725,0.4344306580933954,0.473246847590257,0.47568464916664044,0.5079834023190871,0.4721116323091097,0.502789218599554,0.47676260536359594,0.49725644514547457,0.5362860915824179,0.6292544651013029,0.6565590796441991,0.7004257996762834,0.5131089955050123,0.4708190664243935,0.4580510930929306,0.4846305283991991,0.4669285734346953,0.5187562830862178,0.47153566628744126,0.5233376432948592,0.5024511699434803,0.4877643256430068,0.4876996813663787,0.4750947838143684,0.48031248210156574,0.4961563177482026,0.4694343112780514,0.5001485331190835,0.5368997186875959,0.5345339143250761,0.8143095343105202,1.2365060311166889,1.6457130855727191,1.9649498747849605,1.0825726938694362,2.5339362588304546,2.6869763730070018,1.3053194272525117,1.9526340086208882,0.9176183976218715,0.6474449578966395,1.6179782744719982,0.9000025823162985,1.2471643642833827,1.3963213180191714,0.9634207970505198,0.9052628246981532,0.6934843193344785,0.6238163524246104,0.5596833636032144,0.5347974608494085,0.5425928278050537,0.5037239817398719,0.6925616504766676,0.5387504844169421,0.680845166975205,0.6474175973661086,0.8514430438339097,1.1508404699787165,0.7959899290515012,0.739344180882356,0.6333609031538668,0.9572132338283038,0.5106215396214058,0.5263698417734761,0.4922976633959878,0.5765013368667073,0.5123617047747043,0.6020899303709785,0.9962454498686921,0.5598298463392039,0.5918707417081089,0.48392733791748327,0.4698543161212127,0.5349261156405307,0.48243183777255505,0.5616137281061115,0.5224341755046811,0.6777895014763253,0.5649165073888959,0.5217277200532598,0.5182280469652579,0.5958346348281234,0.6643492126372504,0.5441054191217793,0.5407567318837629,0.7290610852405474,0.5273381811796324,0.6221311212740691,0.4962394155593401,0.5831707344003527,0.6059589364779386,0.6262463193323747,0.7924903246304063,0.6286604409513602,0.6819198559666615,0.6573442414699653,0.4747364175374824,0.38640420968703243,0.37949752187723806,0.439081317655537,0.4432119772840661,0.4433915240463133,0.5041769513931799,0.5556876689677361,0.5009140903277097,0.5071569487718013,0.5218816809815876,0.49532486794697705,0.46132157232421367,0.42803951375261595,0.4024920274365717,0.4343674484937853,0.41268606753030695,0.4579627369231527,0.5333723080820993,0.5972357146232669,0.5205951110663023,0.548558359366123,0.5644528008557451,0.6008115098287856,0.6076687993390423,0.6898736621234028,0.9099605346167775,0.7711747710498262,0.7455138102718755,0.5796740624431943,0.7042095694407847,0.6467512977599565,0.5282624439094447,0.4998614723073456,0.4792969977176868,0.49505129484106825,0.48138099190815525,0.4461352386350361,0.38829094263030517,0.4374275023239869,0.5002524343358413,0.5291653084953318,0.9733174576226019,1.226132184565408,1.020534902995118,0.5739321220951342,0.47956993213939,0.4783431218124118,0.44368423286519065,0.48523351252544467,0.4646703990794501,0.4475320107544224,0.5141884090921733,0.47684835218467997,0.7541238425607448,0.7224523627645832,0.8461637758481217,1.2111038882433616,1.4066058547091143,1.29528395078518,0.9633674634863788,0.7622388671641435,0.6265902783591102,0.5345906475719812,0.45505772132282635,0.4619798262789332,0.4783740360251571,0.600855205502489,0.4817651274530465,0.6122835905366493,0.7644048839385378,0.5403732428912409,0.5370489973422721,0.5320758138040037,0.5673707570284258,0.5329888756677046,0.5579555972842812,0.7496890731640067,1.4099414135706554,1.0141211249699331,1.201233338137733,1.026644826597662,0.999469369410264,1.0203443393250566,0.7310682801445341,0.7213371097244075,0.8271527369603592,0.5350369669086752,0.5757300403132485,0.5919443742045503,0.7381853542888137,0.8959459480374281,0.6982584126095616,0.6982824316256376,0.9788801748891328,1.1255058168503806,0.7516467321442004,0.859330288105279,1.2863093249035304,1.1718744504640264,0.9545919578715923,1.188866871181673,1.490573243435782,1.0474329537424918,1.0650664292341685,1.048347476302588,1.1020801986382822,0.8224142168067647,0.815103320281775,0.9928031411593502,0.9476162030462855,1.4905817017571734,1.0872968997496766,1.6588913857475438,1.154484918368161,1.1630465874497677,1.1736502262893909,1.0081484605291753,0.9875520635532994,0.8341744992903334,0.8695546480442605,0.8178702398417379,0.896852697464664,0.6766699995828812,0.8168077751294988,0.9434979489483428,0.8670125982219477,0.8840905364963474,0.6108823657388988,0.7073475905529296,0.8303502851442583,1.0129717029870484,1.2517144157724485,1.3402826048890484,1.4420696281961423,1.2678320278994832,1.356788878810763,1.4515594343020826,1.37723736530136,1.412104712820107,1.6291616672723253,1.7414106225288888,1.6118191469801924,1.5964480071385938,1.7719111390639444,1.8770694534287466,1.571282281824493,1.571224738029847,1.3562401640668147,1.3633351967046115,1.3117784276380038,1.182463561123645,1.1661240445806333,1.0569312898357959,1.0018387132621462,0.9044264544166267,0.8568626418787183,0.7542652856350587,0.7838892320961729,0.8867539579878849,0.7530042793125332,0.7749113268904108,0.7841392280896186,1.0117444247681309,0.8796332702782251,0.865784599732449,0.995041379732338,1.2173727969522117,1.1566231202474586,1.0395367157474615,0.8014326700605289,0.6660903467960441,1.1079415501519083,0.9386861785655318,1.0434800183821424,1.0292361862825057,0.7219978459352435,0.6373276266756732,0.5510951278492622,0.7649950428834418,0.520598625806297,0.4780205126200468,0.5462130484003163,0.6075177827509137,0.4949200861853559,0.5244456645010314,0.704452087142824,0.37142919082303405,0.3676168338551023,0.6000277742297427,0.5706881444395632,1.3261078914446784,1.1438385283024375,2.437619793401105],[1.1350878574274719,0.5484955220198541,0.6759470416573049,0.2920122063948812,0.5158756463512363,0.5572129055917658,0.503586117560786,0.6145734203954936,0.5072306220921092,0.4065181606191362,0.4714385088306752,0.6217621918093656,0.5082962163569521,0.40844219803485154,0.5130766219313324,0.5153813991134101,0.475052372079948,0.45970540216802747,0.46798505438693627,0.46789262302257495,0.4507142195395254,0.48992993508504956,0.6062354347836608,0.6503521076281308,0.6862275160850071,0.49490365280235704,0.41425341479934896,0.4063919837426357,0.4677638843204327,0.4999748261074888,0.5493944714101379,0.5661378914102162,0.6145172400021806,0.5503477865807684,0.5345013598194834,0.4971497435075423,0.5533844217088725,0.45532673787880973,0.45994135830210425,0.5070855745664707,0.44768411809374975,0.4777051921858676,0.47739946158221086,0.8204478965346781,1.1679022450892769,1.648442484395141,1.9060155415979083,1.0453193576849298,2.5364481795629934,2.6179905590642165,1.2802032191274864,2.092857276904378,0.8794248203398596,0.6185867708062485,1.5566196080371792,0.9331485062300184,1.314899643659533,1.3945634942559944,0.8839262717387274,0.8831272879378866,0.676894294374907,0.6360616511510486,0.5840407810878003,0.5348968004284472,0.5046701836833652,0.46466130893358853,0.6783963049709024,0.5289814322375213,0.6671596705566547,0.6198715367291212,0.8615699302953397,1.1467111332594226,0.7961323988682791,0.7665669586672328,0.612482154076611,1.0404031142029548,0.4955208581863444,0.5210718110093027,0.5075313458449563,0.5669369018153887,0.5952553725879192,0.6724458885511975,1.1033289239119217,0.6783132393404822,0.7111864815631105,0.5710902389478956,0.49665832705862784,0.5998619426957392,0.481435190010514,0.588177996384539,0.5354191173530051,0.7475469711219388,0.6042904085993317,0.5763050345603256,0.5702399689792509,0.6550415272241128,0.6855977969078482,0.61260907528825,0.613106320520449,0.7538971571305256,0.6477780720010432,0.7668730277056919,0.6441763297894202,0.7878987818918025,0.8188905389917084,0.7980770034485747,0.9521958369642816,0.8186754043156194,0.8752919949824322,0.8766285063989293,0.7084082324973815,0.5551727268916254,0.518442006699806,0.45001541422022096,0.40753533610725756,0.3979426722459419,0.4383961366306987,0.5014726794651013,0.45463564502109133,0.4640007839153431,0.452574487280996,0.41813609001091806,0.4173490103961125,0.3617433917836773,0.3570724343433907,0.40987626008493483,0.5555588461222455,0.553908453724901,0.6918998778375317,0.7911946654815248,0.6319376919328945,0.7083493329275827,0.6736796927441621,0.7682435158734077,0.6888509765694196,0.7411989206948455,0.9039596945278019,0.6988089534688996,0.645770828696023,0.5278875765548169,0.636891069748782,0.6101407967708252,0.4821198342828807,0.4188108772567465,0.4079851568755505,0.44004975920630135,0.4350286654495057,0.48054125516219304,0.5108357858649901,0.5582542674121836,0.6808811088354033,0.7079700432832047,1.2457925402431973,1.3047540655888912,0.9830666959483947,0.697200562689882,0.6139073422188777,0.6969180753894179,0.5828589879545673,0.6843651124301683,0.55499209538456,0.5079036555092504,0.4828984435163091,0.49637947132464116,0.783729195406609,0.6379418165632937,0.8202800357921016,1.1599760353403696,1.3622317314119383,1.2361962512044034,0.9362440194499004,0.7320946282141396,0.6838717588308303,0.5759283859019216,0.5393983302650159,0.6327612018046073,0.5978971654142202,0.8248452470510803,0.6148869433229476,0.7962995846188928,0.6925163630361538,0.6980144538288174,0.6626462348160821,0.6116976401916568,0.6314667370870205,0.5613160635846507,0.5916172338277721,0.7669984585797788,1.45057808818504,1.0587824502041672,1.192924789289336,1.152431905599256,1.068082601051099,1.077222432786476,0.7940742248343985,0.8188726874553013,0.875134342115494,0.6659340676636686,0.713916535165976,0.7849894096348904,0.9965780697914791,1.2167685221439013,0.9716124375351467,0.923006722713678,1.2938320014286548,1.451563466280142,0.9470098759564486,1.121084476998242,1.6840980338298543,1.4887230080340574,1.2304851732028952,1.575911565321152,1.9421299459742094,1.3786281306478623,1.388576134583784,1.2654438234819172,1.41186437623464,0.9391227993274875,1.0036670998623463,1.288197850769183,1.2200072873240506,1.6391382215060888,1.4154894313247797,2.0148860182831156,1.4944008226787664,1.5164922853207745,1.5167191902427872,1.3126792078513516,1.2676665876460493,1.1054845420120851,1.1271035664989262,1.0347960631408217,1.0634052129640668,0.8515626919694719,0.9395291222271551,1.0369647312344363,0.9393250310067541,0.950026796343732,0.7472000009142702,0.9333936527134116,1.1056322727290953,1.3351402269690742,1.604738838582501,1.7532341516456231,1.8421428570430485,1.6269069234438318,1.8083266191849279,1.938986809359511,1.7843974893737962,1.8388939768502117,2.1638302054006875,2.2959015464953163,2.096191326716363,2.1123621078593526,2.364115634590759,2.447476878672757,2.0786783801201936,2.1067717168024416,1.8171437342571655,1.8227959989108564,1.7428634462358847,1.6008394224745215,1.5617393977832548,1.407142337893647,1.342417656696271,1.2005206996425626,1.1211661825352286,0.9701138060065894,0.994752003588858,1.0134470030474456,0.8499099926658551,0.8659394442326563,0.8601023400470033,1.071500317397446,0.917340181847765,0.9008982709884072,1.0555504682911494,1.2559881330205938,1.2117602532937606,1.0408315936894923,0.8532692118279508,0.7941368704926739,1.0600816703094624,0.9598886268494987,1.0970612794549741,1.075804801613549,0.8090535400782195,0.7223273418617138,0.6891616644812333,0.9072702757949273,0.6803917509660062,0.7796462601460221,0.8252127125622285,0.7932848411987663,0.7949972987337949,0.819975276409801,0.8426394113482368,0.6887129262762157,0.7987657274546842,1.021406165441843,0.961204097232043,1.5445778039117797,1.4696526351534618,2.648568325812765],[1.3432410786230409,0.6478947716832927,0.6979367397992032,0.5264948276884067,0.4658847495925303,0.49536132019127577,0.5263164683173818,0.7028732279592289,0.7243544763703299,0.6928799289887961,0.8388665599192164,0.9172311099840171,0.7866416850034091,0.7414555561306414,0.8562144132640673,0.8235146426691493,0.7729166322562275,0.778621294386459,0.7602844017400264,0.7269990349221122,0.7070739936657797,0.6820457078802507,0.7976155434344188,0.8137273644561748,0.8239682194469855,0.7133029423079316,0.6647985648987526,0.6873611454393834,0.7335531336590682,0.7630131692819935,0.8841818695552818,0.856978448204219,0.934484809094223,0.9029682181615313,0.8326895562052182,0.8085207672114615,0.7982535252969685,0.6885188915235118,0.6303187511366343,0.6051299281224042,0.622692537418773,0.7168801790876499,0.7014567361149963,0.8901391447574609,1.3505177368037355,1.7188803251155889,1.98625323330831,1.1170824469436953,2.415264025875051,2.4964319209981296,1.1988112773281516,1.891235153746073,0.9982123411856091,0.7795135706117737,1.7136990131989536,1.1170017652640971,1.6421143946683436,1.3971805149463048,1.0968966217926683,0.9966142045383279,0.8249419532422865,0.8570970278871294,0.8585533275818272,0.8297339175195951,0.7478005035688563,0.7389306701150432,0.9112671194860358,0.8478332604878996,0.94151660136365,0.9462582986211546,1.1091403142027245,1.3699640630032734,1.0921598643665118,1.0275027751001071,0.9594585197306765,1.20672989364145,0.8309204243628634,0.8802185674636763,0.8073187988037921,0.8505789435182449,0.8219755928180726,0.8318260928488264,1.1955222387263922,0.7500602813735827,0.6934463172979651,0.717724464607385,0.7094022827232586,0.845307596274219,0.7846481656455235,0.9058352281661174,0.9006304767916892,1.0472107272234175,0.9742298135244667,0.9726530784424955,0.9448170484921048,1.0605932700516163,1.0881727351254058,0.9710684867337434,0.9618646061168507,1.0505206224839096,0.8761052939321649,0.9013031129267093,0.8190328171041728,0.8347469145508493,0.8542521034777157,0.7606399425017913,0.9475181598800866,0.7315971150095988,0.845555043480603,0.7522729270284002,0.564983998563091,0.5083497456119084,0.5558205422906715,0.5716701985468705,0.6118313771477263,0.6275168905552312,0.6981213078961609,0.6748112192981992,0.6710988829832544,0.7569643573030704,0.71190489838147,0.6765582119696893,0.651989248289638,0.6281706846389182,0.5796194302863538,0.49334506673655876,0.46193878646372766,0.49493042231452944,0.5811804335789458,0.6650832477015077,0.6170436423306142,0.645564104996194,0.6318279858743903,0.6551356897978361,0.6449196079085081,0.6688410321197003,0.893575294107171,0.7311612152555885,0.7395589362761964,0.6326269873354219,0.7931523718293234,0.6921294924252387,0.6390467479905994,0.5951199907966812,0.5972098493288275,0.6271183399101135,0.6336937792150432,0.6342529377445687,0.5981981537526583,0.6719767456954084,0.6965354251012223,0.8371646051293458,1.2534856857119085,1.3785952493190927,1.117210948358553,0.9329001459971468,0.8503500700747132,0.7738080043031642,0.7457628397804115,0.7191629529060752,0.5715434475361673,0.6137030976793907,0.5570186516413216,0.551707558603473,0.7012051802820076,0.6652302593992847,0.770676727190622,1.0961210375908588,1.3078773605071339,1.2047976622452876,0.8993288813244593,0.7136077696700124,0.6076849568738251,0.6104457696312354,0.6225738410080851,0.679091613116202,0.7342238494205319,0.8968694592266844,0.6840976875205059,0.7998225048093538,0.8364441065996399,0.6440036128669251,0.6213225698496462,0.6226174555255073,0.6260214400522675,0.6359952705217258,0.6714884678763936,0.8489611251419452,1.3787527567820457,0.9883476538070444,1.2174478798791322,0.9555543059026759,0.9268346752939561,1.013969653346762,0.832614453538185,0.740877186270423,0.9421220259511152,0.6889568262710006,0.7165678473476154,0.7170625354300235,1.0439564072728276,1.2139420494013102,0.8606759939662432,0.9216198578030715,1.3579005775992294,1.3562971494156815,0.8425289783312172,1.1379124005407761,1.734427785403597,1.3103484761870703,1.1644322971926495,1.590323155905316,1.8323115107886423,1.2073552156297807,1.3069240089901388,1.2135256939371648,1.4834192192340587,1.0897790388362376,1.1593784700267724,1.4734080181992437,1.4719520373322579,1.963284302622253,1.7065766334645884,2.2717237211404506,1.7407871015657235,1.7876579168634328,1.7493825601272397,1.6016329643270393,1.5471558375676797,1.3071914655207209,1.3470665599863048,1.268662845528528,1.2454400918243589,1.0290713289457205,1.0884173873489535,1.0669237199172754,0.9740659689426346,0.8717054885321245,0.7939193227564033,1.0256297818458335,1.2405791867872737,1.4997355104100891,1.748895867140284,1.9270114706512853,1.9644478082705268,1.738767069316832,1.9775989865336538,2.0826028318444108,1.8290372925540102,1.9279255883211064,2.295708259665281,2.3884960683939567,2.1527814846561766,2.2684896366571476,2.52685639905301,2.540460756784832,2.20471741063021,2.2965059953608855,2.0000319858727376,2.02498585505126,1.90944751632938,1.8199215698722877,1.8016136378730017,1.5586715777907019,1.5259536371900029,1.4413000819830002,1.32935247960615,1.1112825556029635,1.2083544233486696,1.2144198851339818,0.9765461899674662,0.9523503494170773,1.0441545613017187,1.1814596017666994,1.0030638862142063,0.9761989810717997,1.114768117970999,1.2525364472453302,1.3527785743401388,1.1435982638977849,0.947549593616528,0.8043472666738155,1.2179542479947127,1.0379728147883636,1.088710391858771,1.0512710222890451,0.8188622591067677,0.6615981683556995,0.6295133780652833,0.7464208361097433,0.5501823144335543,0.6016260000534925,0.6402912370536153,0.6248642361398761,0.5856628055059985,0.703809648154182,0.5755575868180772,0.5007787115533923,0.7809403253155496,0.7290070173819797,1.0315651728676096,1.1632215968200423,1.754982565217931,3.188766315183659],[1.6905813732525414,0.9891334714156668,0.8229992343476898,0.5711209713313224,0.6083989287376127,0.607211603647932,0.5851380872033045,0.6594232380522812,0.5690544844756766,0.5214190533001455,0.597496913424353,0.7696966740008265,0.6325730483572356,0.5245257871244476,0.6757002210943659,0.6634246566241159,0.6096308445212335,0.606822213509551,0.5723649756227936,0.5832862690994284,0.5600328584859616,0.590912393341713,0.6474030365915183,0.6723898735661333,0.7422325901535067,0.5556390856291453,0.5359015537025349,0.5434491772628095,0.6115477408484195,0.6742636108866848,0.6947407714511664,0.7649761920388372,0.8194440403447223,0.7402560356354705,0.7235387524965496,0.671351469308036,0.745851495946542,0.603058767303132,0.6140287664673175,0.6565263778387311,0.5682086438250485,0.595257454828769,0.625042004374446,0.9351199237805821,1.1473497031550395,1.6570328926043387,1.869349168870311,1.159372579795822,2.5512444401270327,2.6286118831162626,1.311237377876986,2.072762491937827,0.9850932817195391,0.7444594171431979,1.6517101521877386,1.0793953381765333,1.662996443394276,1.3195645325627103,1.0382040827507313,0.9591086453792008,0.7605561085806996,0.7739008658955376,0.752045272084919,0.6831717173009306,0.6093707062209095,0.6086657370281908,0.7710451099128984,0.6525742639406017,0.7118663504336323,0.7062853382758396,0.8995054604709712,1.218174805896363,0.8907010312598186,0.8513018905415187,0.7293449934520533,1.1424550420827593,0.6733348284374122,0.7115611184498941,0.7020109364583719,0.7521585919877609,0.7871587894968263,0.8472543967085316,1.192885077005082,0.8300651628183802,0.7930965808964463,0.7284582040278648,0.6820470939062694,0.8174803397792504,0.6609002288401962,0.7910487469917873,0.6983166813790157,0.8859301752052228,0.7425812195969456,0.7719533334016493,0.7321390553067398,0.8154248382436248,0.8180467443018569,0.790744990409075,0.7996484323143155,0.9815000354531604,0.8230160760048698,0.9107867313426722,0.8334500235432838,0.9451073862991148,1.009340742827506,0.9005509939941232,1.1142494905044127,0.883515686095915,0.9824792365799894,0.9249685790121854,0.7515157359429293,0.6525308304450975,0.6060599328985374,0.5627123408569705,0.5448726486722535,0.48092117855174615,0.5198966834831196,0.6101862462020057,0.5202618067481233,0.5897578563829967,0.5192965715684796,0.5203968031659348,0.452973109197543,0.4380865721231885,0.479184781229848,0.5488343926098677,0.6605642410938334,0.6525404458910203,0.7792789221596297,0.8869222779300003,0.8081742964409471,0.8623560595346843,0.8270359356875182,0.8777774672147292,0.8227544916490358,0.8173695377329329,1.017627250706703,0.8407761115128335,0.7802372906028062,0.6232101700636196,0.7141848275406613,0.6563428275857397,0.5770766678144568,0.5321466439717115,0.535856195390073,0.5682216937955893,0.5705778567732213,0.6160636230736473,0.6225617209532784,0.6323654594709418,0.7361976204617782,0.7866903780352018,1.3155010750503973,1.3288314349975734,1.0046737221173392,0.8687224091791118,0.7813412117055414,0.8209287634450073,0.7231935503408327,0.7927901869856759,0.6725510189801389,0.6519172334222118,0.6273340575640262,0.6412577805391023,0.9165789480274433,0.7663322803235603,0.9164267882364111,1.2121691111286148,1.4236534640871843,1.3100178687366903,1.0377757816785536,0.8533948560082958,0.80038391199813,0.7122358135664685,0.6860334347637831,0.7856257262434314,0.7641028811852393,0.9988713515311615,0.7649427565633812,0.9515193017384154,0.8557377623367678,0.8170852926901839,0.8190224435951978,0.810421490461069,0.7797308150668667,0.7324832089830486,0.7041862029355309,0.867584824172722,1.4554783471558317,1.1220912578300093,1.2262681788364023,1.0752010516180452,1.0671456189797832,1.1366678417266116,0.9752097879661847,0.8686269821409308,0.9662126630477917,0.8586946255157465,0.8520868009474454,0.8837033631027562,1.1195107210527384,1.3110854403119248,0.9869391322599421,0.9790442309292385,1.3520275545089901,1.3433880970658032,0.8790934812504615,1.087590471233648,1.6540371137712109,1.1981366591374942,1.0603277211959845,1.4013284597417544,1.6136682550411343,1.057811183359832,1.1302596310166824,1.07144307381649,1.3755482183495404,1.1071043149506823,1.126492484035937,1.337604821946585,1.3997064936236334,1.8087509426146233,1.6580829495476679,2.1886883008622897,1.663564705353759,1.754210121599372,1.7686613241303335,1.644824641275132,1.517930697089313,1.3024879303447299,1.4131546336889595,1.2938024311482723,1.26342145648406,1.0888102291034545,1.1468380791439083,1.1491519963103578,1.0583218992107306,0.9765701469724433,0.8920857972190349,1.1382410487166719,1.3354689144141818,1.565849258907138,1.8693725947784687,2.0573681879822137,2.1459934989946348,1.8541774903942936,2.063571973155553,2.255812978092765,1.950939419214955,1.973261348376277,2.392946503275727,2.5055492450871935,2.141220834808344,2.280743255605806,2.6142923401568323,2.5386857825279896,2.1334382951340047,2.2823951886922,1.9389991786555147,2.005457087960533,1.9090142204945504,1.8162179592922467,1.7361234300107085,1.4799746928660258,1.4916820617796178,1.375359398600907,1.2559469995054828,1.1024481610478594,1.1874288429506719,1.2260264152036278,1.0145403421190493,1.0260844722406164,1.0921937590628914,1.2408286521087473,1.1206459972591676,1.1548462047463994,1.4052504866206084,1.5185297496115393,1.6027474369523234,1.3877818127868136,1.0362204087131637,0.9537415367971079,1.3853296476599193,1.2038378496707867,1.3173190704942834,1.189784878726339,0.8735171562883691,0.834489681907506,0.8072362672298701,0.9250609843446304,0.7203685073154926,0.7678036503434762,0.7777898842536917,0.8221369900062188,0.7815352539867452,0.8125454185052912,0.7684814638369833,0.6769249802638606,0.7695897115816465,0.9649949779752205,1.3978018706870745,1.530122313062865,2.194565614645161,3.605950120040309],[1.4900532296822537,0.64912592223624,0.6514141381685196,0.37668965180437697,0.5024356314551067,0.6236239157168387,0.6372607907741962,0.6936454617773832,0.6595599063653991,0.6113869010595866,0.6444240491106489,0.7991652987187983,0.6737664672737154,0.605698544337164,0.7526266476967362,0.7209154773064669,0.6755418148009705,0.6898442616011283,0.66765200505089,0.6757058291080629,0.6687790407077503,0.7031321012271963,0.7408892259819118,0.7770544857134682,0.838256152475131,0.6543756450440632,0.6108925688568108,0.6157038601769869,0.6934918355365491,0.7405946677173241,0.7431230831025358,0.78435305807991,0.851793434054665,0.7710312260574073,0.7665541983561869,0.7191389759465691,0.7847475046499066,0.685355145114872,0.6813042946225394,0.7366801863334477,0.6174819326187162,0.6421434003741406,0.691996657809732,0.933664687275373,1.0561552352441335,1.5860789611637314,1.7079014838183328,1.0919817186315985,2.488642048546204,2.4757064005204175,1.235784264986382,2.1552110313303485,1.072534389862066,0.763180107189994,1.6441768973168782,1.1061721717357234,1.703448554371859,1.3920293890331221,1.0859476257960599,0.9677418619264587,0.8361198126483064,0.8352418166839983,0.8006079895239487,0.761117228226975,0.7275497251893193,0.7246559501255874,0.8604104848617651,0.7412712847088911,0.8035692365399538,0.7776872381802855,0.9833583420625127,1.2916508121851573,0.9343498323748091,0.9170183429301595,0.7794963921197413,1.2218205260186485,0.7517570301199428,0.7505280138458469,0.75906412864465,0.7869621068065781,0.8324150202212264,0.8642598344242237,1.2219261845106262,0.8495456449877087,0.8748156505219853,0.7875727002127931,0.7637471591995371,0.8439373802542317,0.7087995961129161,0.8062397537435423,0.748652311055906,0.9441221660675619,0.7713003479403163,0.7955360918846719,0.7715898517392715,0.8391017144071692,0.8473890004698023,0.8205678582316613,0.8209072518455445,1.0214587350932296,0.8584192128004969,0.9386728437556902,0.8236786212347176,0.9160367402044475,0.9686236014840766,0.9107196502843292,1.0999507414944545,0.9018008988726287,0.9482570379714199,0.9327098887123145,0.7735163597388433,0.6979250050251169,0.6551625461010145,0.5989443988028672,0.6425987654068721,0.539978881071649,0.5601991933723205,0.666681893472327,0.637752334834556,0.6646173236296826,0.6183101566699182,0.6235316823103518,0.504279190075296,0.4878524300778373,0.5375081425720615,0.5756631947147031,0.7256642626097377,0.6609244276923718,0.7572160018636733,0.8813068732496103,0.716458710696452,0.7608061404606483,0.7691346723780518,0.9039357999687514,0.8332043867521108,0.866286981923645,1.0015316544999766,0.8399991012303195,0.7791312416755927,0.6240748720451665,0.6023561022985191,0.6610441699131266,0.6292591537260073,0.5683221001448939,0.5797720393378163,0.6412532200104659,0.6020338641891585,0.706678991217807,0.6798545414381408,0.6923253455199526,0.7574116037699876,0.8131526973608956,1.3617800781374707,1.4533126100046232,1.103683231458031,0.8655553393134708,0.7929475954091705,0.8383597895333742,0.7511678776156067,0.8022538851133405,0.724864699510892,0.7080260806397953,0.6718418773451988,0.6970412884834237,1.0357118556910303,0.7351930900455647,0.9240178447250518,1.1725524560384375,1.3672499252415302,1.2931783108982418,1.0258216064513643,0.8609132177841532,0.8497727725980182,0.7135441787815553,0.6958231118325384,0.7857448684459258,0.7778565111337462,1.003877485948716,0.7681993762551136,0.948544849253044,0.7444778937978916,0.804472096090167,0.7644053161532632,0.7499872784759092,0.7691844049603856,0.6992289420920648,0.7106630906154192,0.798131635943747,1.423935056517041,1.1029001078121952,1.2190068843110209,1.2465941947682502,1.0668217851949684,1.1470205765160084,0.9119347314354491,0.8355488865332991,1.0364412663025686,0.7285324515785151,0.7201662866418462,0.7950605868636546,1.0228557627164079,1.2618621187555323,0.9276498465291376,0.8451763636122408,1.246319087701663,1.2787918805782728,0.7247718891352267,0.9176910382661565,1.5329005091638965,1.0755853216909286,0.8841915228673466,1.2329771494722945,1.4540419154405264,0.9120114962283501,0.9740372079445125,0.9225842372744001,1.2162424814655353,0.8883282267817917,0.9031234185289563,1.1574828595309896,1.1969420486328528,1.7209686188085493,1.4637241091047617,2.0964507005085147,1.551368436090402,1.6721851841588529,1.7125067702052816,1.5746920699484042,1.4074809589224782,1.1909620026063064,1.32179066489585,1.167902124685902,1.1133695451869594,0.9437644675461702,1.0557615653696775,0.9674193799635228,0.8876929053039292,0.8940615414327997,0.7519572124248896,1.0669248495408714,1.274725808852345,1.509777107413398,1.8557870384168091,2.0594943253768396,2.175790659177558,1.8395532190690962,2.0333403606703677,2.263830099834559,1.9939033277491909,1.9361128888633488,2.3552806966698916,2.4793406845182298,2.065127348183551,2.174893356696205,2.497723222381758,2.3942919822887077,1.9659903193211408,2.120963703301142,1.7754593050967304,1.8722993796178595,1.809977897407999,1.7014670304319655,1.5873218469072057,1.3334277241573045,1.3606210583414917,1.2042782422571345,1.0678214547565787,0.9116542532455917,0.9844386721523789,0.9963490220962554,0.783405988938006,0.82239384322602,0.8454275088139285,1.036401242482716,0.900070267620344,0.9384323087626241,1.1792889308357568,1.3548113111345448,1.399176430677394,1.191323938384468,0.8137596081308992,0.710462130996859,1.2172957875289232,1.0377268032704763,1.1527142838096578,1.0594956990852875,0.7239221676675041,0.6735489334183844,0.6836203821030324,0.8965368246175789,0.5992416529052222,0.7703491099649423,0.7705700459109843,0.820524294040092,0.8114643033602361,0.8286880899952643,0.8028157610067068,0.7423715807784923,0.6981365412900669,0.8877446729662914,1.432522248319855,1.758988359280428,2.5238848377102174,3.780411258810391],[1.3357945032987246,0.565269122533547,0.6111021928245497,0.37781162704110144,0.46344331057191324,0.4968435171268049,0.44844359099476677,0.5053504729877182,0.4031090336494584,0.3411070230357139,0.3787689621662519,0.5429401435997135,0.4071765959725601,0.3415662852575654,0.5100389994195894,0.46602713555463665,0.44566577498513743,0.4605364465484955,0.46343093586546663,0.47895250601409484,0.47112992635799694,0.5092178394291407,0.5867487261075138,0.6520465220815598,0.6699633226619885,0.485431662963196,0.4088910675889038,0.3967234943733958,0.4562065523200527,0.47190870970657484,0.5146114430611879,0.5061642211491361,0.5901114672997088,0.5438807127785927,0.5076121185152775,0.4760929178692147,0.5206751355121384,0.4611441762887754,0.4493750344166516,0.47455472443517466,0.44089439325389945,0.49169833826305687,0.5182280648886021,0.7608950861976326,1.1595800558770315,1.6219988703194712,1.8225097884782742,0.9907618814253051,2.37313703476978,2.3511145984346884,1.0763851898676586,1.987771665270843,0.9697005005912137,0.6178606563547072,1.6267958792534039,0.9712142340348577,1.4683719379960902,1.3883263811130404,0.9275588573146482,0.8390542277204482,0.6634993345381384,0.6049279189218485,0.5520966534013457,0.5628795288584196,0.5093177193793503,0.49412632302890047,0.7076356542456611,0.5730008339784065,0.6959443484640112,0.6293602721655497,0.8749647586777602,1.198466577587429,0.8154573596389093,0.791391053293418,0.6030660865309126,1.057599516084163,0.5216114761147254,0.5284797860104665,0.5175412257656556,0.5810690447092275,0.592851022492235,0.6360766072095888,1.0650263546553556,0.6401427041608052,0.6415400503893487,0.5463622044570862,0.49976717848679325,0.5886564749104727,0.48389785147075187,0.5957232186385404,0.5360657836039162,0.7423189798750414,0.5789538023786365,0.5694331597706785,0.5433500509199367,0.6459801523302,0.6822555031495011,0.5864300358565949,0.5936380021651435,0.8377025692519803,0.626980167425501,0.7483436753145616,0.5866679813852721,0.7162292742098921,0.8188614539293347,0.7887190262613614,0.9725819475693166,0.8003229956682316,0.842469974392967,0.8182174453638272,0.6429706514936927,0.5222060206076098,0.44737267397916514,0.41202092324879525,0.4134245216508818,0.36065093850656876,0.36098224290070546,0.49599778495009217,0.4305168152524428,0.4517299980624394,0.4093419005005371,0.38132933215241543,0.3503681382841318,0.32000058137816123,0.34366615629925085,0.4224659897582727,0.5467803663186845,0.4985560487768697,0.593001397764429,0.7072705003938489,0.5796231856787216,0.6259989814476936,0.623303641531846,0.7369921797816297,0.6734777421851234,0.7229743030542449,0.8952253104937163,0.7273122520131805,0.6814557784426827,0.5247423611064637,0.5519300374075488,0.5541607153197745,0.4820641572624792,0.41823182896448485,0.3951611123168267,0.4315174232640389,0.42805478716802303,0.46523888641769057,0.44461070543620695,0.4847341609264751,0.5765287854603107,0.6082654824007194,1.156685709922751,1.49165097316307,1.0921066171776093,0.6868665595012284,0.5557142347824405,0.6127863139973326,0.5000299125439744,0.5934475458076074,0.5182682006640772,0.48040221586904575,0.486501222605452,0.48337852065116654,0.7587834725446176,0.6056329193341805,0.7981549056937187,1.1028452887542328,1.2985233466491481,1.2264077189824472,0.909824761701319,0.7155824004584398,0.6407088406434808,0.579320737761725,0.5241848354992078,0.5636112341795946,0.5328697032457264,0.7626169719210213,0.5354400997229805,0.7153444195584743,0.7719753375189156,0.6418379474621075,0.6240165364099106,0.6132304724650856,0.6265842034868948,0.5613571345639113,0.5451841328588959,0.7196578695003906,1.3640281820321256,0.9640185328191498,1.1973267117532855,1.130169076751534,1.0024697158412053,1.069904873802598,0.8104277944373862,0.7573858427486465,0.9057231127374519,0.6001748982369512,0.6147593434874895,0.6697440452830894,0.8850605432030688,1.1077496313355388,0.8146665103864418,0.7655485809199092,1.1450758366081482,1.2261918618289165,0.7333101363295853,0.897418632640665,1.4748592565741816,1.1311330944314055,0.929164345913738,1.272693337268877,1.5392701010995067,0.9897762456139548,1.0452105218389738,0.9711093036544761,1.2327938644550815,0.8337348015915392,0.8706162302637388,1.1324584160331401,1.1219835934417657,1.6488382665632093,1.3495707634524983,1.9590833517211028,1.3954338178076315,1.4707634864591181,1.498877740954458,1.3496196675054921,1.231609418294367,1.044246494455891,1.144940373534519,1.0099982261424965,0.9979426672683729,0.816620458855684,0.9519955854201013,0.9110205768306884,0.8549720006782955,0.858992153016884,0.6600602388370157,0.8920991024207523,1.07552604321317,1.3182359391258145,1.6203827572728637,1.798063935804547,1.9058650904201335,1.610892811027309,1.7946843940009982,1.9890523676975445,1.7837499279137623,1.7632823926379324,2.1366203524836003,2.266984661120219,1.9448322250574548,2.0179210142980866,2.3137132550940973,2.294905261492016,1.896225548634053,1.9990726657892426,1.6852884397783894,1.7294391992119393,1.6490676462807652,1.5308029991808911,1.4630819085170168,1.2502790019074597,1.2312274154284037,1.0976654983496987,0.9978392926641283,0.8331806997570932,0.8833413221828434,0.9263121719332943,0.7415219049242073,0.7721825324974664,0.7739364383844958,1.0020077630014517,0.8570750747562477,0.8823727882873638,1.0788436598122937,1.2794405909450703,1.2580359931684366,1.0733157392229515,0.7651213728562042,0.6336277471273898,1.1028787101376816,0.9655528222259796,1.1008126869969286,1.0588415372899262,0.7201562409890362,0.6380774342506572,0.5942676171231568,0.7946747060364646,0.530724931983235,0.6476217387972831,0.6596632967885725,0.711060356854595,0.6959573011119878,0.7056164334115816,0.6940831326845197,0.5864625084327445,0.717790656802382,0.749315144181504,1.3590700168380043,1.5601292327323053,2.240432758716026,3.4521911043304763],[1.3556903425552227,0.6222472273614192,0.6101204938090711,0.40908950444277453,0.4862333301818465,0.4473840801454185,0.4078188087940938,0.47175713543103537,0.3822480579795538,0.3028983880641288,0.35335095096487995,0.48966121950547115,0.36436003571479975,0.3165481398938832,0.4924816517329597,0.43973232936664075,0.40921678998982675,0.43368268282400485,0.4612272806030451,0.44599222723361226,0.46725667571396534,0.4838478730915944,0.5923381707971659,0.6739922766726779,0.6414178072763496,0.48957645738484223,0.37567899562021667,0.3499392526692343,0.4123347028403678,0.44092402556920984,0.4957635576880099,0.49300109190600017,0.6024064049396841,0.5134691292700071,0.47733566858292625,0.43354970068581816,0.4737380385258726,0.4075126665089798,0.3834035472233973,0.41729230991715954,0.40447450368124105,0.46714882225964216,0.4749701739563856,0.7368365945284805,1.1565546707958287,1.6405929798962886,1.8482088080656427,0.9685730282157244,2.3299628707239406,2.271300291145434,1.0115437426482075,2.009091449408296,0.9605909177964074,0.5712080626216516,1.5818751727824285,0.9880360870313128,1.4409019397776703,1.4168398127338808,0.8880467549609438,0.8256158731256266,0.6281806563737673,0.5848509225953749,0.5601435310087176,0.5606828998264857,0.4771641598085024,0.4603370849809824,0.6997372445196558,0.5383620809806543,0.6850154854364034,0.6015946979375356,0.8485635346610828,1.2040154290100868,0.8123361330898017,0.8116166607225281,0.5856135483023718,1.0939082859218134,0.49493782551738186,0.49058827522510884,0.4754895485170743,0.5354987897345348,0.5476174284329942,0.6064383818240785,1.0457115439053999,0.5798262048254712,0.6203255354180414,0.4994439346791594,0.45137360717671443,0.544486630107292,0.43872547001596685,0.5751685055231851,0.4994527997553945,0.7493564372930487,0.5687361418621569,0.5603096067828376,0.528299320886922,0.630547268390137,0.6535533798553392,0.5588490678278445,0.5512662444771078,0.8309196517380301,0.5828417450971957,0.6984422932212242,0.5384526472886245,0.6813049150040406,0.7843646839968468,0.7318361423100529,0.927596521726235,0.7518190669912566,0.7956739951339149,0.7805946534582678,0.5975255799419447,0.47106618158344526,0.40555148694838367,0.3603656656078362,0.3818993278144992,0.34679608997088746,0.3271251172046748,0.4466852751448831,0.43124622292366216,0.449503566212749,0.39204259011643233,0.3506104257972772,0.3162652572753018,0.28650005282502045,0.2962820917539939,0.36513296778000287,0.49770346708678237,0.44912654176998157,0.5288742614743244,0.6562060562542014,0.52911989149292,0.5879264621831725,0.5626271558985866,0.6877264319854737,0.6024047242298496,0.657278336172456,0.8134160225724725,0.6564465066194081,0.6219286509245001,0.48586283533263175,0.5322888621600415,0.5523762301013964,0.46928943222159275,0.3663921842257583,0.34720319711618153,0.37899265603893845,0.37271270466730994,0.4194143344756056,0.40087642482906555,0.4574941625244509,0.5420270890458982,0.5864342162994156,1.1740827103207259,1.53789623783735,1.0930267429643576,0.6417070215526455,0.5140121154731246,0.5800797527369409,0.45818728975533585,0.5560196970493386,0.45908880121826345,0.41461421945428917,0.4117330444600736,0.41172469157703656,0.6596909649842189,0.5287816665799098,0.715664411124448,1.0423810151385837,1.2373082052054183,1.1592732262909031,0.8286932930273245,0.6283240943362703,0.5679581241562377,0.5110789038377518,0.4605951841145347,0.518451164992718,0.48822048649980654,0.7463669388667078,0.4820447298848359,0.6680586982961296,0.7133428210275099,0.5838916353801301,0.5636207851575362,0.5467547509214132,0.5613853449291277,0.5078238802973615,0.5111579950596219,0.6899793508985853,1.3615546744302294,0.9376714476444274,1.1841577361382472,1.10867192936316,0.9812677003807063,1.0277001358558355,0.7605909524931344,0.745668352035438,0.8171237331435319,0.5618660581037231,0.5896874681786857,0.6383401958191341,0.8480136623832392,1.0753213310615566,0.7795839817375081,0.744159844938327,1.1326080332152084,1.2159299147716152,0.7363119017822464,0.91228144034362,1.5064311502461243,1.1657705332891903,0.9807158710862448,1.3529913194264187,1.6197540494010938,1.0692978446574164,1.15025940679577,1.0223236128156452,1.3391134895130625,0.8770492597493625,0.9157202446474741,1.1968775727548377,1.1770567090215842,1.6825629013371806,1.4213728833515582,1.9867685068326046,1.4039610406914458,1.4724180669232159,1.4852029101185622,1.322125665997529,1.2187616581845735,1.0158467903318538,1.1104130695169812,0.9749580575559066,0.9721098617347544,0.785773304546465,0.9189510245580901,0.9372897664705019,0.8772847251313539,0.870682482012508,0.6434469062631484,0.837510521562223,1.025683566272223,1.2876640595936601,1.603771173804383,1.8070983295226009,1.9101178590824448,1.592726370834316,1.8157139206624149,2.025949345276175,1.7867218601645918,1.7730482049053498,2.1911250260229074,2.325625081196335,1.9799153246904708,2.091281983876147,2.4267987883190836,2.3883465988660704,1.9968996666975343,2.122369596340099,1.7702299589296384,1.7978551456783318,1.6802531650971353,1.560996182724799,1.5157331287486036,1.2740016937618648,1.2323935657546523,1.1122385771629877,1.01950194822731,0.8294247698359548,0.8874952733282732,0.9571629550337448,0.7619555889012259,0.7837768029817745,0.7993044585697436,1.0566247641697333,0.9227875343683299,0.9552312059076044,1.1896109511874013,1.3709967953188804,1.3256474606046422,1.1105887013177291,0.7824336175002372,0.6523158301883495,1.0941717070726933,1.0000300021494914,1.175574021237953,1.105176755279316,0.7236366502785481,0.6529285742109857,0.5808959295257168,0.7678016039287051,0.5444635610605331,0.6248229826765207,0.6556927398077503,0.7007778541624136,0.6614670617503656,0.6873015623072163,0.6947391178439577,0.5610034858493437,0.7206136668740742,0.7780079432639176,1.3915817883111952,1.658325278477861,2.562893177808144,3.725161792772471],[1.1945453138017423,0.5830450886107705,0.5905630956481636,0.41165504426947813,0.5216741636782259,0.5429045263674246,0.49732208962879315,0.5063042852983606,0.4432972552328744,0.3562497265488505,0.387512233664446,0.4974284078428373,0.38803317732508213,0.34990169380685693,0.5041751611960849,0.4614136726768681,0.427611941940793,0.4662290450483907,0.5004915603574054,0.48563693921069107,0.5092954676059781,0.5287315115899102,0.6384879988666295,0.7195913653088931,0.661769996723415,0.5269547891539034,0.4204562180654214,0.3920222504186977,0.44498937995595733,0.4687349830547586,0.5195542098638947,0.5051759462238927,0.627063276843806,0.5226256787589284,0.49461319138589177,0.4568580245835008,0.4854181809695232,0.4407188944849392,0.43113514574738315,0.4624757561629988,0.4393500380643317,0.4828686735563276,0.5073813915950443,0.7415311482153003,1.1025934515008817,1.6221034346104266,1.7656525134459382,0.9444222272957165,2.27381551659968,2.1419789764811488,0.9595920572004332,2.0762299229134453,1.0061653721358128,0.575004034178205,1.5567205167233458,1.0444312926264474,1.4348235492441062,1.4766626962185807,0.8820033285372942,0.829224302662448,0.656778445834782,0.610149523550205,0.5945923034670918,0.6173718811546689,0.5148150114489832,0.5042307951764442,0.7197337669924353,0.5458037969460936,0.7001222055873971,0.6112921112566263,0.8533816085269331,1.2126021033991181,0.8220745199043784,0.834983875481244,0.5978612721350256,1.115985301416423,0.5185820563920538,0.5119935882373133,0.4902369076333473,0.5327704260031595,0.5532531927062561,0.6267352988331778,1.036904217655112,0.5872371228500819,0.6696418746948067,0.5217878866343995,0.4842067374619839,0.5475298335912909,0.4616119290715639,0.5824524553811747,0.5199719743011398,0.7813496683469339,0.5932094631651746,0.5731784533242156,0.5404667572682464,0.6418641169639884,0.6578926293486422,0.5698286714261097,0.5508317027290613,0.8159520557419396,0.5794578358872721,0.6900666490828562,0.5364310219637876,0.6781002441491099,0.7889605872135704,0.7325396950774147,0.8962880143138087,0.7484402700911249,0.7805569245311954,0.7987873044311147,0.6402025354383918,0.5235785821671953,0.46756659823053826,0.4185849717137879,0.4447562149708101,0.37706822410532853,0.36926532844190335,0.475845059113798,0.5028787288639528,0.4806389096035287,0.42970341913421006,0.40785975319213713,0.3299624065876176,0.3162799456790113,0.3641720589752385,0.436309834861484,0.6172258433289751,0.5191262269457796,0.5800342468578638,0.7081278102128549,0.5771322834122611,0.6228140010957061,0.6068815765210147,0.738737659107894,0.6674509931996966,0.7189880832441031,0.8914682157394426,0.7273298625584378,0.6787898590268222,0.5434895171219519,0.5198569201774043,0.575631664437143,0.516551767901797,0.4193344914270353,0.3996407581086859,0.4315030755250965,0.4164240400071177,0.47280490446660467,0.4632502988756382,0.5013411490112654,0.5666080354683611,0.6144341300315211,1.197740962575471,1.6518960911576541,1.1720031559796789,0.6343274326641933,0.5330378890154158,0.5938984852358077,0.48787916638805345,0.5695915817797582,0.5195063912699062,0.4628516475337054,0.48400029315988186,0.47398290182236025,0.7304709692527814,0.5890130720314355,0.7744941621822826,1.0655733500050513,1.2603821354994893,1.20458409421683,0.8859281196067,0.6997614650477965,0.638485126422729,0.5388435534557175,0.4826659962601314,0.5381803604415083,0.502421742543674,0.7488808554330875,0.5036861059184,0.6735973828897694,0.6998767440484006,0.609183541591936,0.5906956548340623,0.575005749821499,0.5992539535273513,0.5297494591055822,0.5349391840294452,0.6983267461784353,1.3809841031151948,0.9695503980399768,1.2103782674405454,1.2532132112340568,1.0721364147713655,1.0809664685174631,0.7967493273313055,0.841800179929596,0.8859232768401312,0.591073938687041,0.6253236728042288,0.6731503991392784,0.8517835934761142,1.0685349828195694,0.8150825483701469,0.7773679456423362,1.120608195363646,1.2245301434618074,0.7924249832442213,0.9347824364433314,1.4492191246776007,1.1812304803611056,1.0084717487738326,1.323348117871988,1.5719340206960697,1.1167343005368313,1.1750407103294656,1.0802702200423082,1.313401013149221,0.8776145803142359,0.9103138563223182,1.1624660406913192,1.123247480753167,1.6484080044887388,1.324007743527159,1.9008370297670243,1.3375515758906016,1.3957623038796623,1.4154056606287262,1.2555780565858585,1.161230583638359,0.9890339727421166,1.0692587802972489,0.9431093730887955,0.9532635278191594,0.7731932346570275,0.9581687283550904,0.9129514782304987,0.8574780349273765,0.9131000394614346,0.6635627947337326,0.8354122227771494,1.0072229019750987,1.253385118235177,1.5507147974222721,1.7284619085598871,1.8408895379227401,1.5354983868146095,1.7111264336972898,1.9080265589349334,1.7206505974627864,1.6998170711832434,2.0592807984160744,2.186081614793329,1.8770871973570162,1.9519662845795451,2.2428533599611327,2.225734974168898,1.8654603949918356,1.9659908228245873,1.6568193430371525,1.6786924735245923,1.5859918713525345,1.4692168457425328,1.4257218194852481,1.2267853348964533,1.182968289889239,1.0666931915252467,0.9922868351367774,0.830402389506824,0.8691446180920918,0.9268223504322327,0.7661543147160081,0.7854388905700461,0.7806070331263738,1.0365313947894168,0.8937969488816688,0.8953294670061738,1.0954337636168214,1.2788636839054528,1.2152449197773278,1.0290241767075756,0.8098984638187586,0.6760091051531165,0.9885515832997509,0.8898977430701349,1.0555596352512413,1.0589772835121043,0.7596703616225474,0.6756213399125395,0.6235118761627862,0.8304374830081079,0.520184538045985,0.6548120211054378,0.645769320443128,0.7351567108358109,0.6901324370192503,0.6790105240196684,0.6792992451337175,0.5990915607741212,0.7076829571700124,0.8405398301282773,1.3420318425535775,1.6067343375299041,2.578436704145011,3.659539824777487],[1.0818462613517024,0.6017729003127461,0.5886776934937495,0.4115264056405978,0.5116006266739921,0.5328249920863087,0.4998019709070785,0.4968514111887314,0.47153041208098584,0.40641436633986383,0.4460894821162268,0.5492085799345569,0.45051005679072714,0.402243085065528,0.5353254238390658,0.4968908758115753,0.483219266628301,0.5100267852139293,0.5240896479576065,0.49973170734965916,0.51686456157976,0.5271416577404722,0.629853715211518,0.7135220002180013,0.6678600357248251,0.5227111025846705,0.43161932871680786,0.4201261615138877,0.47072365955990797,0.4960183192342551,0.5667885315864344,0.5354642225929499,0.6228936176404979,0.5417813169651148,0.5220197356173704,0.49796146577525024,0.513586458807877,0.46310141757238454,0.4562100849864813,0.47770530767707414,0.4507215211644963,0.4946103926490112,0.5132725476207899,0.8079335997118454,1.1035600689273217,1.6417387652857272,1.782914611026108,0.9999945144138109,2.376649576022159,2.287930390610062,1.067828376149328,2.1414800052946275,0.952760620322112,0.5728824678547761,1.527981422122058,0.9918857960469614,1.3776835396846536,1.5220620431651857,0.914853226895718,0.8920142957792717,0.7095780253659759,0.6415770155136494,0.6124531649490443,0.6070336448875686,0.5367106563032453,0.5090053028613345,0.743120676066588,0.5785287871373368,0.7079990145336922,0.6532858142279393,0.8692675338888552,1.190034339368166,0.8387703410317567,0.8582136860141547,0.6366895707434874,1.1569561973770532,0.5404185920451032,0.538663234542411,0.5183122177618708,0.5456585306662849,0.5678202497617598,0.6628919087187337,1.06675730163729,0.5897638481859593,0.6882808249693254,0.5372694046214137,0.49766698229950196,0.5662677812707608,0.4884752282545066,0.6026516600900247,0.5572709184524653,0.8212740042321595,0.6439248308693329,0.6073200461087389,0.5899733243831734,0.6946643744947408,0.6963879040560562,0.606449127567083,0.5762048249450165,0.7421797190187205,0.5830712493827935,0.6732023759230937,0.5424857809153804,0.6586982301446572,0.7575556368625966,0.7023577150951991,0.8506652540810017,0.7229875899695336,0.7619156782985986,0.7845347099227998,0.6225551826531605,0.5184541299536969,0.48244680476877033,0.4351842556449748,0.46778035826770903,0.3787321413466915,0.3915729025662773,0.49647159517730355,0.48562424546066424,0.5058592331233929,0.4500771468681314,0.43668636925086957,0.35801760701051877,0.3328285958029828,0.3866187328684722,0.4351140118596922,0.621560341918136,0.5206414669878097,0.5866042897012603,0.7021510080724759,0.5723768309220857,0.6145551699313438,0.6074305042738961,0.7151350260254221,0.6701945420118386,0.7256220080636647,0.8927565011313239,0.7251245712730093,0.6667950560026057,0.5432720533425022,0.5045755504663542,0.5670242300429341,0.5069325616915153,0.43392029156481166,0.420434002427298,0.4612485615678448,0.4443710507409158,0.5083876613764767,0.4778042616801339,0.5171903769162903,0.5533387200744828,0.6156567381163475,1.1715446082514014,1.6074805333854212,1.1680811784918121,0.6139372113677252,0.5272253925036972,0.5895427333173783,0.4991456495033206,0.5769693732190686,0.524632492156767,0.4871297508015566,0.4998922553106662,0.4924632298456782,0.7577987432175238,0.6020582507207464,0.7972383018745808,1.0939701557428894,1.2830580626850152,1.2259958499538937,0.9110084927131803,0.722119234480059,0.6597214856375256,0.5388470243131634,0.48320281846241275,0.5393956927338106,0.5221614774637214,0.7539071626969847,0.5163450182560915,0.6678878311132305,0.6849559942842129,0.608813896375597,0.5976952666111232,0.5715773236276247,0.6018946168018008,0.5289356584841607,0.5495583557252435,0.7399344241176603,1.4152727063197386,1.0269530078162274,1.1960874870761078,1.2448570091641014,1.0792144864336854,1.091722422658649,0.7991557146111112,0.8329978897714626,0.8666673903776777,0.5811843581294672,0.6254824980457446,0.666160176875872,0.8336687969567872,1.0452436586559797,0.8080196858826355,0.768809815331719,1.1000285747456584,1.2271658756626367,0.7919159494821408,0.9280615208855566,1.424771815023709,1.1938333041838298,1.0063272025701762,1.3014189823606794,1.5742020653265714,1.125056943179151,1.162760841319767,1.072454970362336,1.2641097938682748,0.8455031988409584,0.8801691969630424,1.112042393839026,1.061597348652653,1.584750896204137,1.2452810861204227,1.8307057815409309,1.2812877019953288,1.328204885857423,1.3584489498855608,1.1905553466531669,1.1023293011266113,0.9480469566274008,1.0172449597530722,0.9051421747495527,0.9264968267738409,0.7404375997949406,0.9390168996755914,0.9047522420195749,0.8472039835767349,0.9154372409572495,0.6545237055459957,0.8180244054349602,0.9771097400270299,1.2084042135442812,1.4939837535538327,1.6526193977181007,1.7748194868934752,1.4890028502714576,1.6400454462999317,1.8242782269855105,1.6704249213109024,1.6565361241798546,1.9897136404421183,2.123359001594234,1.843005926820886,1.8852853784677746,2.1583489156145026,2.1805689199986356,1.8086005086157313,1.878673698751774,1.5900668270481286,1.6069865812391961,1.5290502258895824,1.4031949750029697,1.3594124924874493,1.1885221892425548,1.1393068696830482,1.018386851656445,0.9520906820781908,0.8073536783280193,0.8386652824648337,0.8993151898672835,0.7509143828209001,0.7742198905074885,0.7604022999597608,1.0170652184888362,0.8786855952070275,0.8785780474900202,1.0738492044302308,1.2670754309398198,1.1836763488354218,1.0240321157418617,0.8114672987447142,0.676364278759191,0.9973973371282736,0.8777760069767255,1.046520985204917,1.043775010056219,0.7551090813207306,0.6757585461979168,0.6230472047708823,0.8457897711832648,0.5124926652752558,0.632151739008629,0.6162028188075493,0.6903655425242244,0.6684288687334397,0.6371915448189639,0.6157555738986529,0.5613640169871776,0.653059090618627,0.7378939031238266,1.071455101978261,1.3915290563183513,2.053728536267901,3.163880757199767],[0.9315691017730521,0.6632099539590595,0.4967018900417099,0.40558147849681764,0.46795135593715004,0.4444154151990744,0.4326788089262733,0.4258878781660659,0.4182110638310735,0.33248607957903425,0.3635382383600844,0.45656834079050373,0.34653450353340437,0.32464043053222924,0.45334095983708045,0.4164132926725953,0.3941624605227606,0.41669153883505045,0.45673373339877305,0.4440516182591999,0.48290631946606155,0.5098173945747274,0.6118730496288349,0.7014863403390378,0.6403664161782341,0.505271990315337,0.38498481200735435,0.3524054233519844,0.38996725375935876,0.4111607907192748,0.48876236111473664,0.463409228455085,0.574724123383806,0.47057028089417546,0.44866997467517744,0.4181283846018999,0.423212339738254,0.39665801223543606,0.3870225573387222,0.4231299769448818,0.4004387857662911,0.4345025338801455,0.4553226235971381,0.6993597075607527,1.1034536727215611,1.634873852487746,1.7916078132154254,0.9257981913841697,2.2644171810641964,2.126871949490307,0.9490415533968964,2.095206683543179,1.0028475175383291,0.5650599039028915,1.5334151085820897,0.9932025256940158,1.1985672928851858,1.6222391525723707,0.9028568245202738,0.9087533938421943,0.7091454084697513,0.5985715788842916,0.5522800773697164,0.6174498813734022,0.5245589727192663,0.4995306516023433,0.6939034481170826,0.5077845038555908,0.6744341366639847,0.5901033972108193,0.8144138427417468,1.1310435667441328,0.7731565094358765,0.8104095835334242,0.5708628478142164,1.108269456245703,0.48976199130887066,0.46710956372511436,0.4519616647343908,0.49622375576277883,0.46882161661976324,0.592783821442223,0.9904910898994775,0.4849011475918784,0.6768178195805838,0.4597502803382892,0.4321396865310771,0.4801833439614702,0.42188142325183214,0.5273725870606746,0.4837386749028161,0.772420500256146,0.5939470007314557,0.5266159279533689,0.5056925566614564,0.6108072440839568,0.6139834788039551,0.5398749865647324,0.5080959302842658,0.7540372768919443,0.5285121170080797,0.5980854925473722,0.45858578172149006,0.5658714459920637,0.6443603800250577,0.6219249826737938,0.7203199499623884,0.6574791138907454,0.6540226302551121,0.6935978789141627,0.5275809375260099,0.4427884344847001,0.40869560539248495,0.3748153094011898,0.42247900485891865,0.3518759332868577,0.33465781014644036,0.4499681098421822,0.49889620118310807,0.4536251065956788,0.42204000187582835,0.38067371517904475,0.31524592844589705,0.2866084419299249,0.34017076848278854,0.3877413137639499,0.5282901890862691,0.44487257468943525,0.4673993548608522,0.5958416556741275,0.48182912196246364,0.5075952837369556,0.5192512743192454,0.630184097101661,0.5876737492269305,0.6608563043178837,0.8036243621739195,0.6679634285072937,0.645160515911738,0.5678926498016292,0.5226748934861365,0.5877820380869168,0.4772268940732458,0.38756987103335444,0.3648997927290697,0.4010168125888237,0.3673589222043752,0.43347640086824585,0.39745815423413616,0.42277059135746425,0.4846329184760868,0.5774074755681783,1.1086307710687608,1.6648739838110245,1.2690815274560845,0.5750253722776139,0.454798218617382,0.49882552524731383,0.4110789425687379,0.48070509106074927,0.45684032746300574,0.40685040097315617,0.44397477223797244,0.4161512668446749,0.6501975775306724,0.5910938922023744,0.7464266136588296,1.047685694573932,1.214864972082729,1.1794726931393795,0.8343008518746536,0.6645947580325576,0.5898604082486766,0.46583766186964026,0.4049448280761463,0.456436234125567,0.44862447078583556,0.6426818639937935,0.4397326744343033,0.5598065423868626,0.676913253257139,0.5275511549811901,0.5197608350780787,0.5017465748019494,0.5355246449312531,0.4900638089603233,0.5181372965251146,0.698942802271042,1.4089769013268056,0.9792934741011972,1.250028055778174,1.2712786258288233,1.0947876943326582,1.0655493658902795,0.7554184518792482,0.8560507271804426,0.7775836858669656,0.48907744836872974,0.5639887148616489,0.5741649584640562,0.6484298845314006,0.8362823758399172,0.6514595782165439,0.620457977390118,0.8927199385306751,1.044000188252911,0.6826778032015853,0.7825636089029204,1.2126044010792751,1.0507286569135466,0.8948874566127264,1.1450481002170743,1.4157335011414773,1.0628801026429813,1.1010994974142176,1.031383320996246,1.1443236583071619,0.7710286227759711,0.7522005978740297,0.9476991232295922,0.8715613638365264,1.4562380254741814,1.0294261673498726,1.6163857836512614,1.0411916792560494,1.0699343834483341,1.1014347981815993,0.9478805441977093,0.8679828379661115,0.7440007715562623,0.8128031872253189,0.7381441985142677,0.8032551188789266,0.6154932481175516,0.8741131630443285,0.9158502181627761,0.8605417215542911,0.9388887774990122,0.5998614694286808,0.6424516184499867,0.7642422899693083,0.9801973287169132,1.2583536252315382,1.4214317301297008,1.5465741153121353,1.2477371638749468,1.3743021692527966,1.5730885594161057,1.447258430314907,1.4050736126583878,1.7150759070151615,1.8558674579726597,1.5955448636183303,1.6238933523913126,1.8868997991697907,1.9450428999600298,1.5788133825283062,1.6268153358524204,1.3510504858890668,1.3452204894614221,1.27098828354729,1.143102871543012,1.113780844412801,0.9737803273902335,0.9078926944848481,0.8075284360002098,0.7736872274532067,0.6596721498299817,0.6958762196616257,0.8204091778189906,0.6935173075214264,0.7315947606095099,0.725352212080046,0.9882246607222401,0.8787595140758808,0.880905138770845,1.1276520085111297,1.3160747736517944,1.1400033278315405,1.019006821544293,0.7677244661364644,0.6342333089209338,1.002360157206764,0.8755034135036212,1.0915695464934234,1.047500715549741,0.7106702731001778,0.6238983918365206,0.5567418607915315,0.7476903711450441,0.4618897100591609,0.5257372815543115,0.5185323099048881,0.6914473080551636,0.5471221091564055,0.5172922791980745,0.536826766688885,0.4717861446137069,0.6540181617300115,0.7726432999113717,1.0097586332118234,1.2658414978800638,1.9433205238071927,3.0592540315517334],[0.7540772386051473,0.7216037949579005,0.40919098499173734,0.34511221692886584,0.4060807129628017,0.3189445502499976,0.2973674705872292,0.3044041349594257,0.33994112152778616,0.27909787910943457,0.33345626992635796,0.40050168600275177,0.29819335565837896,0.30912976015407045,0.4445374489668517,0.38376484272068123,0.37780597534793764,0.3967793248316423,0.44854848826233074,0.4209673714502009,0.4879441579262157,0.5124638837231721,0.6612473439760799,0.7501035348467382,0.6619602738951113,0.5282849386398519,0.38169194218565555,0.31922787833065813,0.36383895956649936,0.3654278942884243,0.4596315025917746,0.4164695615728631,0.5053000118454081,0.4436062837808454,0.3991703193689774,0.3792436610789056,0.35937804369272436,0.3774652174676301,0.3435434838067753,0.373069652605301,0.3734865355955563,0.4485068820728884,0.45282376838170735,0.6896997629371551,1.1557534728608283,1.684242030717005,1.8682850764573824,0.957303046309904,2.275613650020557,2.1616132421261742,0.9813254528835841,2.106297469600243,1.017457903689251,0.6012454600799706,1.5168033071513,0.9524470288640048,0.9942575765796434,1.7416402235595834,0.9397113321256956,0.9917444556570771,0.7448666241017837,0.5894273012224659,0.5402244442650254,0.6059656506387135,0.5290608468071298,0.47540408831879166,0.68854207361825,0.495264223285433,0.679421156253968,0.5900348248769129,0.7978277241571096,1.0877438394541308,0.7603825505371862,0.8166714766170716,0.556323660241231,1.1325778151389194,0.45374634051102736,0.43358156403380016,0.41469795256031583,0.4676686160450504,0.39914512126352225,0.561367037717734,0.9623187870237667,0.4302487981775576,0.6746914210000636,0.39868660479125734,0.38763629936808636,0.40459552344436267,0.38361249552127497,0.4871967362982147,0.4723982759329683,0.7604722566633064,0.6008558990144349,0.49817871662062574,0.4748962348654489,0.5975250358649855,0.5915100167064559,0.4965256231602203,0.44023872909658973,0.6646424071620062,0.4336131399157604,0.5201385401235723,0.3732018037580332,0.4372498322722966,0.4781984282423343,0.4724227453872484,0.5658348357595394,0.5717255399045882,0.5319999812309705,0.5949609526267465,0.3838920703266963,0.3033765014118706,0.3007538126888634,0.28328004191110234,0.37616541726248814,0.3373238725558258,0.3210953771628069,0.40675632967245173,0.5110863692075602,0.4216024027042737,0.4043423056105936,0.3557016238600649,0.3130413475126333,0.2600963083800753,0.2666491040637979,0.284032948968011,0.36770333488622375,0.3312557802918959,0.3273521177530288,0.44897680742561447,0.3701019656888003,0.3902783160400929,0.40063759030365104,0.49307532246713226,0.4393380200167734,0.5363228352265559,0.6780364558893689,0.5406218552302259,0.5330077360184741,0.5541626520361521,0.4817385174743734,0.6082247497695955,0.463268255899563,0.34325674370948084,0.3219569314806432,0.3664186896699026,0.30741126357515175,0.3645900369974968,0.2984198233598834,0.3435975985719953,0.3916046472785072,0.5219187112177152,0.997846968801097,1.5912740323927883,1.2517114454083318,0.48991185200435655,0.36721015791978867,0.38716272521420025,0.3309961010030092,0.37800813685159546,0.35298934046498903,0.3264560145356235,0.372388265384151,0.3435569398702284,0.5355289178958512,0.5468692193726661,0.6914081221330994,1.045534693133344,1.1786329363039663,1.1330855839212701,0.7478877165194783,0.574757352991506,0.4858114797319605,0.36827464785507913,0.30893693426535784,0.34164556232553484,0.3750115756671326,0.5463932360750523,0.3692580897032883,0.44604779569095876,0.6699696067295113,0.4002324333134162,0.41095713243242193,0.4051573165674844,0.4531411767384288,0.4701033701764163,0.4961306698112905,0.6854817464084325,1.4139209196627,0.9657125625120418,1.2522424536114027,1.2576371369179837,1.073459470592989,1.0193315285696642,0.7047950982919425,0.8977404066908372,0.677066668608575,0.4577805404953599,0.544737190414325,0.5046065498106969,0.5063715050655554,0.6605542506646327,0.5206256234821073,0.5160055247995515,0.7504169055959685,0.938086673996697,0.6383453242400712,0.7109547192956082,1.108863344153409,1.0342967433673707,0.9044756492702652,1.1312281387262542,1.4220796204836263,1.1474252344135023,1.1796973517964053,1.0758626237396305,1.1407354285293072,0.7553249004790268,0.7180621150095986,0.8928087346148866,0.7861107934770758,1.3542252442091374,0.9207105648348264,1.4613774743205155,0.8915863505060407,0.8769453834456179,0.9044803012820188,0.7347402479792755,0.698934515112288,0.6040085393814363,0.6257791036608278,0.636022124315169,0.7440025622831643,0.5325301705567614,0.8524360100598787,1.0164277644107234,0.9376761301849897,1.0302809615617876,0.583441087133621,0.48361713011735474,0.5823885799034078,0.7706941100635261,1.024543263657796,1.1665046140831847,1.3073352894192998,1.0219095237836444,1.1453453330080257,1.3364228866754904,1.237284590500544,1.2173300844756492,1.5181648150167888,1.6748021641056183,1.4611821828501546,1.475177441984232,1.7409557386544703,1.854078318552863,1.4934325891997138,1.5097730531703262,1.2356413383058196,1.1897911568754125,1.0988715619711218,0.9579461904188645,0.9637013270926367,0.8515788976937496,0.7533740726700101,0.6809683138036122,0.6748560480191426,0.5730779158565422,0.6215734502479657,0.7858295754160411,0.6690017548253595,0.7437957434984686,0.7472114921802737,1.0107132369529197,0.9063779870367036,0.8835082091300095,1.1767657015184072,1.3292888181727347,1.1277963248299983,1.0066649976827744,0.7403257960820662,0.6416793208750371,0.954343713715942,0.8185369606325649,1.092785571746058,1.038083530014317,0.6856844076718202,0.5756482322394229,0.510030087533199,0.6745521049307082,0.4205382846814602,0.3820180568809806,0.4079293038859337,0.6361436645373894,0.40219873969032877,0.4295183805745362,0.4405467796578047,0.345418693203606,0.5445887228878745,0.6430584891581446,0.8474174997578451,1.216440116803074,1.690599760771881,2.791105231036123],[0.7313265300593836,0.7785744885392802,0.43250859932677177,0.33252122540749385,0.3610751510530396,0.2822706105542931,0.2719721265174278,0.27716020885786646,0.3207995269811682,0.2657429070152816,0.293083967249619,0.33854943296546613,0.27678456991950057,0.31278150021128465,0.4419004082812938,0.37034124367641635,0.3980588707172924,0.4148366741035006,0.48631535950584487,0.45046734948826106,0.5178338878126478,0.5395801564280462,0.6869734822540423,0.7745861043427748,0.6661685598053382,0.550113831721629,0.4302236340740729,0.36613332521594905,0.3964873541016896,0.38096878432044934,0.44313590456387064,0.39456822779552386,0.45999787639131307,0.4347026042604731,0.3986467822780151,0.3991960860136974,0.36120964795508104,0.4270925428322914,0.39092692040060095,0.4180569259911082,0.42927892294424486,0.5103100417037283,0.522200103257258,0.7101788150821592,1.1645927161830343,1.687678421332195,1.8457237186459738,0.9660491328777628,2.2168807489405733,2.0628107555832855,0.935336786556655,2.0933478666752805,1.0479770652812557,0.663757767616259,1.554354784205431,0.9733532270477907,0.949201722055724,1.82232443070197,0.9830433908281723,1.0366284818901415,0.7812092046270234,0.6232598796172023,0.5484661716169095,0.6297636553160207,0.5492338351218702,0.5091251127087835,0.6952444266303835,0.5043025110492138,0.6791840460347245,0.6047678977647369,0.8037300052190044,1.064674492493905,0.7399533924721259,0.8058079195343789,0.552708264910361,1.0989284689913292,0.46814416928060537,0.4295238251366737,0.42645908164540314,0.4988736828127264,0.418982111976177,0.5941253318779665,0.9527806789992718,0.4576555490487025,0.6930577955500178,0.4228149319519359,0.4261164517465473,0.4260862525928615,0.40354697696895675,0.4931597671373491,0.47965064763346654,0.734935383350204,0.5713270344280559,0.4509500335809814,0.4350216757835498,0.5423585697338595,0.5646023924432538,0.43818409741730524,0.36485334771114397,0.6101023238733105,0.38176347903453717,0.4827385866548204,0.35980364486350136,0.41348551396335853,0.46453012422139184,0.46696471337933987,0.536811234738363,0.5798583627029009,0.4924761804947336,0.5711147208297925,0.35664778441996,0.31189524089377263,0.3010611101433488,0.3096003900792147,0.41361430115218933,0.37099109603833685,0.3567773986476365,0.42929273563847126,0.533596651124705,0.4466763389610266,0.4316280115027519,0.37832611309605396,0.34776627300199914,0.31093792121060937,0.29700282068259926,0.317247517859671,0.34808497532434024,0.33520377807869367,0.3061241363523843,0.4265073087942146,0.3553243907239434,0.36258012904890835,0.3878308094584345,0.49171305751854244,0.42500350972649,0.5047456216544949,0.6203819834738247,0.5350982196018815,0.5633998318895331,0.5727238877815596,0.46587640576416256,0.6089958415062622,0.5035781508558232,0.3795189096386283,0.3724449428711809,0.4092052839840212,0.35446481039304245,0.38732116969895136,0.3187443967886989,0.3224865520737447,0.38595466230031017,0.49709709370455285,0.8874347923114619,1.5825576713798375,1.2928069669113271,0.4789286776614771,0.3379070757474043,0.35344965497890957,0.316982308014623,0.36193416368275666,0.3871891851647519,0.370674258206142,0.4012818273774591,0.38021543887697307,0.5314045879471303,0.5697747213457212,0.6757975657261756,0.9832705414373782,1.0983004533043619,1.0898429569476393,0.7103706954125564,0.5633031999038765,0.492700717056702,0.39787250693684756,0.34917628624604213,0.34932090252443476,0.3798376472207085,0.5155385275035941,0.3989366836767707,0.43099012631189604,0.7166255622529384,0.4118195949634514,0.44395468908196434,0.4563765063045124,0.4896488658988898,0.515175269564886,0.5197222847516205,0.7134062193906489,1.393729850752674,0.9351624298612589,1.2823292560323782,1.3160525528403062,1.1002326606692903,1.0318916840943353,0.6873612444984717,0.8763793082703489,0.6556196951532948,0.4722092826357276,0.5616114081283945,0.5081499135750243,0.45385728698339295,0.5552841482463285,0.45359413005432375,0.4656242751784624,0.6260452870275943,0.8072214032595876,0.580944989407614,0.6211691042062568,0.934011998648023,0.8915031344064763,0.8029929559833475,0.9707179796014814,1.222348454320478,1.0347188079556107,1.0686431395719942,1.0060288516988165,1.0077262256852964,0.7158509408745831,0.6448013368161736,0.7702449334190922,0.6768398033041417,1.3172368355509378,0.7915895286794129,1.3073974614625237,0.7693061814144388,0.7526802949946855,0.7753894100148435,0.6655766373986205,0.6014087554727615,0.5455474439036635,0.5573928256951071,0.6121099427099989,0.704968359029679,0.5320345040241166,0.9206710786640153,0.996590152492858,0.9359176713099511,1.075669491045234,0.594320018886463,0.43684510963124623,0.5151627544095781,0.668234925290785,0.9035178893205488,1.0223579860779646,1.1703235958215255,0.8746445181957513,0.9581294347585532,1.1425138193117665,1.0656453697027166,1.0265327191923406,1.2844691691445884,1.4283226582746242,1.2342830213729332,1.2437077343368135,1.4764880392659578,1.6040298182836228,1.2697240981032822,1.272896889162195,1.03888778597969,0.9879714645148707,0.9152599348638542,0.7929471076698781,0.794060355996788,0.7086138061887999,0.6250311619634585,0.5760402939246959,0.5853127696913126,0.520492089519025,0.5724921713806698,0.7394959299304931,0.6460388257957204,0.7320820880700283,0.7464493646535796,0.9807734407656084,0.8926241408306957,0.8593824727912611,1.1723172278722307,1.3370012283570625,1.0735300165080848,1.0129932713928358,0.7500981769761113,0.6314261886883415,1.026758784541704,0.8130896554836665,1.0608519941507941,0.9657710741021691,0.6617737677688459,0.5507283986780305,0.5092959865249752,0.6399326355925861,0.3882931056889953,0.3483887209472422,0.3691577946899823,0.7077226893517424,0.356991770639062,0.40398870730675246,0.41342318788106264,0.3210968775486326,0.5730042582142298,0.6841259641271115,0.8910468992671428,1.2143128575983275,1.6822242761320978,2.6908366418857192],[0.5945263207668325,0.7894882455219348,0.43009544035253117,0.2967090963820479,0.39022966202221643,0.30607007779280837,0.30972923796641083,0.3230354272768885,0.3769111210366673,0.34965436625719704,0.32760164451822255,0.3567264531274764,0.35149861482066774,0.35047414572503865,0.5361483535883775,0.41567276490563165,0.4230679208912124,0.44126342962573545,0.529766877039207,0.4860915853894678,0.5590105528903255,0.5860867290599446,0.7562320148743384,0.848111410028748,0.7368198243115958,0.6252765925033996,0.502124038209379,0.4315170260022433,0.4247968142726422,0.42439411426078727,0.48710672405442673,0.4392498120186034,0.5161443123926319,0.5066533721750315,0.47424759587690435,0.4671318050874287,0.4244746555487287,0.4829983565967325,0.44771511935598474,0.5021809498763947,0.5083007769385655,0.5659848844869779,0.5693364062197325,0.7611081546627727,1.2402307092190745,1.77148300328191,1.9297644872979869,1.0588167647316884,2.2134666227608455,2.0703889012635215,1.0236453114172894,2.1593088684352884,1.2066527495092407,0.7893357335993471,1.5222507473892657,1.0595844237899081,0.809187527862551,1.9688639258875453,1.0531625723216282,1.180048038786661,0.8841055861018511,0.6645074668374094,0.6033698681313886,0.685762543105018,0.6238043454246663,0.5743471599283221,0.7247567256756825,0.538334852674189,0.7189087978199168,0.660780946755231,0.8025022887517756,1.020327053576677,0.7475866161726142,0.8665441504649477,0.5865288944804147,1.1354780599944778,0.5286615843912678,0.5043827589170413,0.49760491433426157,0.5793533315704271,0.4862663541557249,0.6984888517372397,0.9859460250732365,0.5430434567389738,0.7995955803473028,0.4869274168554603,0.4885767423812064,0.48497256993462895,0.4770587659246438,0.5303626060663121,0.5501196112300651,0.7624017755203514,0.6610775268181831,0.5135961534267143,0.491402717503111,0.591548135568495,0.6186506418500246,0.4840100705835249,0.40518545269768264,0.595266683126771,0.40901060696636865,0.48066279575728343,0.45084245466159567,0.45939579001293945,0.49108581110469446,0.4741169239441619,0.4858560321712976,0.5799997891760404,0.4578169420078153,0.567654041048941,0.3282296346192485,0.35139562973820665,0.35089285440906304,0.3835701278681284,0.41837226513743375,0.49360231021633966,0.44023319959548635,0.45318320987692956,0.6202910301835678,0.48562212219628365,0.4982229242497001,0.44900142192959464,0.4635491852868215,0.40881670409934057,0.35935327465241995,0.402449900872291,0.36307957571295135,0.41280420588871125,0.3809308326815793,0.42540409136387575,0.457166041468799,0.4335933027855587,0.43321215550140196,0.479647079451835,0.4308917631403259,0.4726033731971844,0.5901488310092571,0.5202310505232586,0.5298021153779738,0.6363876566927179,0.5119080286355236,0.7597625596408947,0.5477483160082454,0.441155394016066,0.43257596527351755,0.4688583270046584,0.40170846736847754,0.41971002620449643,0.38040007779919516,0.4145305123128278,0.4341532866679083,0.527119742576695,0.8726809376082346,1.5298829384081105,1.2828273791319798,0.48942606893148277,0.38226497444077634,0.39938005227032086,0.39469735736525824,0.42083969745878147,0.4179861801565033,0.399314831714562,0.4405591623126709,0.42098168790891694,0.5351204695784569,0.6042140113052413,0.6809644300368961,1.0346649403022345,1.086452191818385,1.041899346274397,0.6799027388271337,0.5446621581339889,0.4909074450208252,0.4005584180721167,0.39244012785814614,0.4006423749294784,0.46649772830005937,0.577542979625795,0.47820445388681887,0.4497003662153371,0.7555471473795956,0.4240739658801841,0.4668788098263988,0.4867183303663038,0.5101412005798366,0.6218383135693433,0.668115627681492,0.7889471076603658,1.4548963560574644,1.0347238170580075,1.3484827074330945,1.3275036025078788,1.1231324832912661,1.0242259489392345,0.7830044332495328,1.1017450956536474,0.7509146548170567,0.6453367311266992,0.7321049005553196,0.6241904252174801,0.505851254691202,0.48243120124105354,0.43234807650518053,0.49303445234831456,0.5536642092475375,0.7320686962987855,0.5928357301175512,0.6204158443935855,0.8610636310212614,0.9020684460304241,0.8484150590859445,0.9934070410792272,1.2556744586031976,1.1478507153659678,1.1920335879817983,1.1404855161562972,1.0553835450962292,0.7845108490626678,0.6774853553384997,0.7782781642740384,0.6986249292095553,1.2714840242597385,0.7971031206575141,1.1734005611313854,0.7275138273631235,0.7017358769013844,0.6986779679619254,0.6657178742283217,0.6611422244717144,0.6370770639122423,0.6079473729086472,0.7494265361426782,0.8443150234739054,0.7098221070343602,1.1027860457512833,1.264973481899819,1.1516349997425435,1.2930739027553857,0.7645153482296492,0.5099841950076033,0.5832947418767033,0.5895420876618845,0.7972841481533971,0.8707836898100888,1.034536761618551,0.755540674623825,0.7854993040420777,0.9668123500559043,0.9101411698484719,0.8766739774634432,1.1219053275484347,1.2825039072510027,1.1244019333387694,1.124766519222134,1.3645636688993295,1.5481186831233296,1.2121531216618846,1.1852223559799353,0.9535354024648144,0.868822803418417,0.7886603100573125,0.6816556017595136,0.706672267412335,0.64765811308346,0.5649385006530648,0.5772590650846899,0.6035542705799398,0.5924206938990261,0.6998962924327058,0.8530307377032045,0.7610449761826077,0.9018006018087596,0.9314568501636563,1.1138550895997008,1.019761823614964,0.9506977225833383,1.3202683292016995,1.4105779409366361,1.1101844651441788,1.043787819186925,0.7848819144135558,0.712794520567222,1.0216026027652274,0.8341222536291377,1.1143805339024455,1.0280537855299658,0.7511818966610969,0.6065945873381573,0.6041873013839432,0.6819422393144818,0.46474380579911123,0.33037410302624554,0.3767141725670079,0.7559707476178653,0.33916637595343435,0.44306961367439646,0.4154969086474358,0.3225633698887506,0.5081545210417314,0.6063788798644495,0.8093333218975582,1.2910937046025404,1.6040740508368772,2.560174852136466],[0.6680716035074293,0.7997422888079141,0.5394102519888654,0.3953464865831449,0.3850042525292701,0.34305631202002856,0.34641261019867825,0.37984154810905396,0.3930927757493451,0.3948770025378026,0.4342577170067882,0.46506431478917,0.434396384928343,0.44085787778412766,0.6380171083540492,0.5040917782369825,0.44829326122371305,0.4649350318409507,0.5398606211615131,0.499905475788782,0.5794730857491328,0.5943995888995975,0.750095234091806,0.861680262681809,0.6734867299666745,0.6025533425164641,0.5037687955916212,0.447071410271362,0.46108798410006413,0.4677827856862944,0.5235977003474411,0.5257733090931255,0.5859424764320631,0.5776796584156791,0.5249797257299256,0.4980627182033689,0.4686497209740183,0.5116484417372352,0.47359171891357615,0.5073668811241064,0.5190738839179087,0.5907073653291435,0.6140961623805522,0.7138972270807299,1.1600871911247048,1.672573243424863,1.774659971179295,0.995005965771967,2.0031360315338174,1.7727209806895396,0.8815321595425493,2.0706923514739186,1.1920270176318282,0.8265723145023655,1.6016256716167703,1.0380442646727552,0.7578807600968805,2.1340959964509127,1.1434248347338625,1.2255508331874445,0.939753692800014,0.6971585250796466,0.6310025080896676,0.727142485204587,0.6680567951600779,0.6116908176193205,0.7638954809853047,0.5779759541555151,0.7339064505114268,0.6914583850300258,0.8208243361631304,1.0236919351092313,0.7567523962658785,0.8665031426941654,0.6195979807399689,1.1782003019849787,0.5671707331213521,0.5478917086411423,0.5484398227518995,0.6088706619964377,0.5305832506158246,0.7337271837703918,0.9798310426545966,0.5369693206228772,0.7550126280914444,0.5007198556334855,0.5232515852668043,0.5116793719606032,0.5033292522825603,0.572957743593925,0.5958114834509842,0.793013359172445,0.6959964844628009,0.5713992088499651,0.5568295740116245,0.6582296971540601,0.6928464311772633,0.561811394410838,0.5047895572340506,0.6836241674166857,0.5193861902312493,0.5684049052198578,0.5297496248266355,0.46157200751057376,0.5444062453180505,0.5121686921617381,0.5314444509474792,0.6875627017566327,0.5207282930618943,0.5821681157241447,0.38628831074464276,0.3714007038956576,0.3787420226098302,0.35040009633679964,0.41699772252600037,0.38501538295487864,0.40642321908366913,0.46281213122834836,0.6765032096813843,0.5147837559569433,0.5252316659880162,0.4494569222257967,0.38982760190401067,0.33373790461685926,0.3059131605500244,0.31398365730585703,0.3571791992397473,0.36428340669000325,0.3629921350285424,0.46349280456651215,0.37995383078859374,0.3652744656562124,0.4277679563884925,0.4727383689854825,0.44387867317939633,0.49233736978970666,0.6000532838743213,0.5229822098985524,0.5623142048406812,0.67592810167666,0.4762672397234817,0.7388006174645708,0.57231608059681,0.46190748250947467,0.45063008664073634,0.4966993984881651,0.43452318237203685,0.4491223967101421,0.3883721634803722,0.40307544606381246,0.4515007885850113,0.5593678497553218,0.8022235294010633,1.625158304569319,1.3976613850374455,0.598846202571465,0.5035333250917433,0.45574260895143415,0.4646897834129338,0.39699939749574537,0.4586637113415343,0.4432258739166344,0.4662230352425332,0.4482029218277869,0.5371136328591617,0.6551344526198727,0.7170751619811917,1.0078339168991148,1.0451100036785699,1.0519273014591954,0.6791991043308152,0.5537814455272897,0.510014452206657,0.4506106424382094,0.43363991248152406,0.4580045245723265,0.5093487729185715,0.5917506361654196,0.5154162902108591,0.4710306533492894,0.8141496319043598,0.43034289965895267,0.4860571518247857,0.531852633550969,0.5495005268181352,0.6381866959387256,0.6431977723345198,0.815155049242977,1.3667377034650734,0.99352301325709,1.3836471191500224,1.4453093683889877,1.1798997074554631,1.082126893878048,0.7734862036643366,0.9853607829545248,0.6862670663407496,0.558204927891492,0.6237768628205548,0.551275995006033,0.4647304901272996,0.4983544465721482,0.43418316729546397,0.45948342261206654,0.5548570336563706,0.7339138332123615,0.5923354033783962,0.6036329037960821,0.8368700483591678,0.8599959387452529,0.805655383065004,0.9274042141343263,1.161166437527513,1.061738349978075,1.0720870293419733,1.023368135757403,0.9751650420742637,0.7323764058996759,0.6337018686054898,0.7173863216168902,0.6318911716927551,1.2643368298633548,0.7415874595919357,1.1562122630655494,0.6813966630020063,0.6786499718667763,0.6939345590119735,0.6774065176990803,0.5701555690507782,0.5655062839361044,0.5761751499667545,0.6882181650293764,0.7214789275420213,0.6039185610997785,1.0627939605454981,1.08305532378888,0.9977611136381526,1.1470992195308682,0.6571006475549827,0.48396352287218514,0.5587204569956452,0.6432606617108576,0.8490980165890005,0.9200456253016591,1.0664210224859476,0.7697379310240637,0.8283328469365534,1.0314292734834707,0.9429400749460793,0.8848992096179881,1.105617545434118,1.2511036809735088,1.0893465183585578,1.0914382042941917,1.313027352231483,1.4746709590238356,1.1546861015201146,1.1315925013455812,0.9146382522364723,0.8464436457909464,0.7784044931648986,0.6865041739650813,0.674560215428865,0.6296495675331848,0.5450731505772975,0.5306432400834769,0.5505302892299502,0.5255717941757737,0.6210676092884104,0.7445797906270915,0.6646880163833899,0.7797123785836109,0.822521676192175,1.016623940999445,0.9295753901578891,0.8847948136400939,1.26401579740249,1.385757564706212,1.063774058308413,1.0414103237629635,0.8009660928662511,0.733348396270316,1.0883464305852395,0.8447158606801851,1.0584269424133126,0.9340423761180878,0.6819342884070054,0.5491102108860327,0.5093017084204872,0.5828406696433429,0.4043121330569675,0.3919722051370602,0.4110699037048958,0.8078765663557232,0.40513790585670195,0.4378358046180626,0.4277265864927484,0.37955034738272964,0.6014426138133036,0.7089163336983423,0.9878577613852039,1.2639188924092504,1.8143422681274926,2.80566321624474],[0.7845615355237767,0.9625835571612485,0.6811608188160198,0.5953359957091472,0.5567442146517461,0.5194650713588995,0.5109667259153404,0.5206871560512158,0.501866544630039,0.5648821779927139,0.6146148862388944,0.6495737937270805,0.7160995745891032,0.7367305115779169,0.9920833122905672,0.8970857171793873,0.8847457719067819,0.9819453277511745,1.0536729020636306,1.0132703066847717,1.0770766198635044,1.050863990078053,1.150237643836952,1.2426674733036929,0.9642535852330907,0.9499202166297755,0.9511619357901312,0.9419124646305282,0.9482409821843489,0.898996820019814,0.9607923430300926,0.9081625963773334,0.9282183333848872,1.0319560001419836,0.9765425144210603,0.9781716390031966,0.9107137497115397,1.005696937548184,0.9358805662350984,0.9810832024125521,1.0056273966315534,1.0994261534637606,1.1288429607053847,0.9979299627275371,1.4461489390787352,1.576126612617618,1.919019281382746,1.3964984398851823,1.6487095070222346,1.470778875500966,1.1188937773586365,1.8041223954740186,1.44980780795509,1.411472664821923,2.001791284650805,1.2790373293023607,1.0911038081914934,2.7012038195223087,1.6678060474590686,1.7069829321971945,1.474461579197388,1.1949356932019253,1.1416204204371267,1.2788942055471382,1.2250824471031265,1.1362643966543067,1.2782005488720516,1.125211614011816,1.2516315576930832,1.1850600434161593,1.2413067778866667,1.3561166061018939,1.2185511461376581,1.3426840895277632,1.1381090370298557,1.5606171678270033,1.1183051890862012,1.0712752265458152,1.0879275292527906,1.1366154319735204,1.0075309239561954,1.175109078412519,1.1812828519030776,0.923573091526903,1.0033371713365427,0.9156380712442813,1.0148797103711287,0.9502988360162967,1.0283004969094636,1.058276967590412,1.0996214569937104,1.2354625008718492,1.1175549656186423,0.9885003984617501,0.9366571551547096,0.9647188716764975,0.9672531681392962,0.8578568878386562,0.760428054160055,0.8661040200679314,0.8154917096713035,0.782705429082923,0.8192450243167464,0.6819850319106233,0.8089394147211248,0.7377764576094891,0.7432274307808184,0.9717076198776039,0.7670826017997445,0.6793760682724034,0.5884771158106566,0.6252073188640129,0.580706919569123,0.650006051673435,0.7034097903049302,0.662249693668844,0.8203681762236644,0.9004855013089813,1.199456047224097,1.0075471212761724,1.0083916801188757,0.7960433267515374,0.6817152594417539,0.6065661816322815,0.5620704861775274,0.5745296173696748,0.5310083534921952,0.5823211655553062,0.606591655806482,0.744913192521668,0.6527105668851587,0.6593724085856342,0.7567326827141202,0.7797740348704922,0.7733863894257393,0.7992245272325533,0.801077511540432,0.7607322094049218,0.7975759668838992,1.0465415636250412,0.8140756632310542,0.9827292046453638,0.887811513578665,0.8611214883321221,0.8997449669595384,0.9376851412521701,0.8573999591789039,0.7793519693993143,0.6820856485633104,0.6131328090467882,0.6311887642200635,0.6580743702060395,0.8408942155984198,1.7374451991807884,1.508449864447342,0.7612512368988978,0.7161685203222317,0.6590503290737977,0.7215457674134141,0.6597371527900907,0.7850254579158478,0.8658657941674011,0.8832841002554831,0.8720575480884425,0.9247747245685167,1.0759058946726936,1.1311374430236023,1.4340513894340465,1.334249179307013,1.3069015377166733,0.9603883901925881,0.8808112463826331,0.8928088054126818,0.8551528557655778,0.846275794938409,0.8214363292268017,0.8609162422160541,0.8829337413884929,0.9159222652391997,0.8623995807988244,1.1848941744750416,0.7658611016156309,0.8434777843264114,0.947833100461881,0.983443253349981,1.0629130188623745,1.0625048844589415,1.1568474943545801,1.4251257915860491,1.251588743469926,1.5977983407011065,1.7860812315825862,1.490438855912308,1.3321704171995277,1.034530936167476,1.220917287458084,0.8830504625301044,0.7930163062197284,0.807762954228854,0.7575575005934487,0.6509760934625424,0.6389903716455397,0.6182284541267101,0.6182680361037359,0.6639097319284224,0.8209523792108956,0.7211774111390169,0.7137927407621804,0.901737060956886,0.9447325133096286,0.902160493950217,1.010385426126428,1.2421395593783975,1.1593008392807636,1.1956829192158986,1.1683746170247202,1.0864400822880176,0.8682648876514264,0.7631814386976746,0.8134118229684856,0.7776513061561121,1.3063422418834512,0.876543658384333,1.2050354478865024,0.7731103833769218,0.7644074448330316,0.7756772060080186,0.8253672485078822,0.7107818322731724,0.7197229871529406,0.7775546248520923,0.9018744536362124,0.8951368177549404,0.8420475072344585,1.2669850200104888,1.3496291215815885,1.2105786526269282,1.3749154880739247,0.8583334210463472,0.6942225709846138,0.7473786946307606,0.7542426266212787,0.9104516391484723,0.9555081530758827,1.0722417024616697,0.8189665869483801,0.8641187162163267,1.0363910115291446,0.9472313524494606,0.9340633022862461,1.1311510073936941,1.2858370432643915,1.1311249584342955,1.1291146360330988,1.3659324291473678,1.547885309939122,1.211055035488863,1.176858653734489,0.9638472171832819,0.9039774083678492,0.8521061350668918,0.7757754689275462,0.770299432461473,0.730154602994285,0.6653089517172706,0.676746428621127,0.6975603812254216,0.6979020561825192,0.8026248754528559,0.9297686607896664,0.8407830966617849,0.9780913575542199,1.0391627596192796,1.186729773574969,1.1161699178990672,1.0289742967446915,1.4445629077843916,1.4732772107289365,1.168989351779845,1.1398369812207632,0.9029837603791654,0.8506916194870044,1.1340027092795637,0.9299645082814879,1.1759344833940515,1.057014606387359,0.8246961510447313,0.6926409279524642,0.6752644314845176,0.6512009669773866,0.5916667289687487,0.5734600639628629,0.576693545199245,0.9125825872779746,0.5832013516832398,0.6049615961738993,0.5672076542705502,0.533630481867394,0.6944899829525207,0.8223115337899675,1.063632618589981,1.2415463751731546,1.8513881678638104,2.863570662770855],[1.1661894907149633,1.3634689231946036,1.1159174317716354,1.0691790588358092,1.0843218384008553,0.9450303532209401,0.9834518830023364,1.0253016251658054,0.9769301060451603,1.0787710326085584,1.154385155257228,1.2131174193962393,1.2750557668687572,1.2628408318712252,1.6106627667307725,1.5133897588988474,1.4143013827876585,1.5157322300869946,1.4149300874869555,1.3986980314115018,1.3856191257445956,1.3309525039731396,1.277533018142816,1.266655303722513,1.1776131322726702,1.2118005842060637,1.237241415408869,1.3283511041748837,1.428203333170172,1.43853894753667,1.6073512962741383,1.5234567864549966,1.6076321935235347,1.654356749278751,1.5823135566205233,1.540853990621952,1.448071631980755,1.40724540802811,1.3370015921803924,1.3104199695090228,1.2268512447594178,1.2511953101479616,1.2335362929350626,1.1809990171702527,1.262589384948192,1.9162133802299566,1.7605928773318094,1.2816589515518146,2.0654731861501845,1.8249099844123917,1.2661470952524676,2.3968626019680808,1.4961507048216034,1.397812101238165,1.9057173877727052,1.487827479089515,1.281358398187318,2.84610239140013,1.849670561966146,1.897377989391703,1.691820690707444,1.530539705692477,1.556519129196338,1.5498058954583136,1.5056930405859905,1.487693618612919,1.5923428103853987,1.571982695544225,1.6315890022271498,1.7374527907597705,1.733776072428835,1.862291322113447,1.7773451347543028,1.7240970581060542,1.7061207863391656,2.107162626292097,1.5953817820194853,1.637993645048443,1.5810928343478396,1.5046194254948924,1.4953081207821133,1.4821416695978737,1.6897419644503735,1.3445057819288297,1.3354849633741852,1.3538057015975185,1.4242294960850204,1.4750021170795367,1.5214932570182618,1.6169845064191886,1.6740296338244,1.9230521013018773,1.8020508865730038,1.6907202810337203,1.6219542483715501,1.66535120503615,1.591380396078597,1.5039795985225435,1.381778427254593,1.3266860149190682,1.4194171865393272,1.3174171471483058,1.39408400682649,1.2599999715084995,1.3244078196999516,1.2824586756700678,1.2724436348388153,1.2574516588016769,1.1134609165929807,1.2472810534255623,1.1014569517239408,1.1851368380252079,1.1262840589209115,1.1633515463933028,1.1750006459279632,1.1341678855612596,1.2394462297582438,1.2048480342793362,1.4328638862739091,1.4372997013804176,1.387436970262283,1.2520242355601796,1.1158563805692001,1.091312575006245,1.0530487065748504,1.131701005026251,1.1205598127198646,1.1183014060971774,1.1484941255615886,1.1584900001461953,1.1283032294122115,1.1232177544676007,1.2058311186815156,1.1427016917710766,1.1862614098470268,1.1670325982072083,1.162650115396078,1.1300141693395152,1.1372477895867723,1.3478973454641696,1.2077706526068217,1.2794212653694659,1.21290096100228,1.2523040095128013,1.2556234151963914,1.3529405088361826,1.2972948781225628,1.2840693039722704,1.2177601647543883,1.1424505862937908,1.1601088617743283,1.1861359299349437,1.280044096588239,1.8305791000513556,1.6796107413108243,1.2750628452587653,1.2755909500788947,1.2634334083175909,1.3035081709695504,1.2204471604412548,1.277010557848609,1.3201699134845417,1.2603258888711715,1.2673162072590987,1.2085668750515557,1.2085749416189204,1.2341489230750238,1.3271431475876196,1.343351894599339,1.3611701010585255,1.2218271260177682,1.2123118297950306,1.2389608474362472,1.2630085458300666,1.28485573351864,1.3414453599322027,1.3635508374079863,1.3861582937114492,1.3653693876212858,1.3318251150626828,1.441551459153017,1.2696808720018213,1.2637687163661462,1.2375692042823203,1.222229646792411,1.2411959181472512,1.245941227344347,1.3541582597803938,1.6529926268398587,1.4213522707305826,1.93607660098154,1.702501811995258,1.5687180908114104,1.4909992963765402,1.249588011513418,1.3854715631414278,1.2573770597568759,1.270984397666461,1.2661120608198793,1.1513975757309716,1.1302989818782476,1.1032971914549279,1.068623183109544,1.1038077608127046,1.106637517799727,1.153562203905282,1.12734670319733,1.1139172962184927,1.1856467148943135,1.1901615110955035,1.1527418034026664,1.2231075481358746,1.3793645766476195,1.287893781018921,1.2691868646606028,1.197680474501174,1.2924837449869842,1.2420295974483837,1.1853087020020705,1.1767397538279087,1.1730892986576924,1.612683337575509,1.241802921977127,1.3888265047087853,1.14645637106275,1.1786302547185294,1.2260967961884197,1.2475484657567795,1.1763138734444207,1.1869688041769635,1.1993328253127127,1.3675180780422,1.359725191808262,1.281302731773523,1.5648409573027087,1.5798236253620692,1.5348137444945118,1.6162952948697342,1.2810124482670842,1.1825679583215425,1.1674378427596899,1.1844004754551292,1.280022657528217,1.2965179551575992,1.404383891269734,1.1965401713310286,1.2024541368376669,1.4007005932489607,1.3359337575640948,1.2427954752235637,1.3875595763034874,1.4860047441066675,1.3588961259847148,1.3521684003516123,1.509758540091357,1.6325946188216927,1.366057559451466,1.344291689973478,1.2303533152167123,1.1912079611950888,1.1704798015876827,1.1508628569860413,1.1262594675051316,1.1208048381679583,1.1014983567752776,1.116587983099504,1.1308321421806995,1.1556233070465367,1.2226160238152153,1.292133293196266,1.2552457181675756,1.3720766507382507,1.500165880852013,1.5958915445046702,1.5452056014986248,1.4414483256450386,1.7541865894613613,1.789761530854669,1.5600110150515296,1.586598317810889,1.3583056207721234,1.2499593091248784,1.6100105093381134,1.4134154450038192,1.617325700587871,1.3962379898162154,1.2073975661138099,1.1624443979208048,1.15304854427816,1.1786423528694998,1.0447554245545119,1.025498445294691,1.0201044647044606,1.1886261426044056,1.016776607204783,0.9977546647128808,0.9421564900746564,0.9416074723884148,0.9529911192815419,0.9944226007906647,1.221745712172795,1.47514552668791,2.0546023321439497,3.0102672534492707],[0.8186177838429035,0.8706447980145887,0.7838040939826435,0.6141763559222644,0.7250226192281038,0.7559430834548965,0.8378184782349645,0.9355385532788427,0.942524595617312,0.9421944790768136,1.0779447468337462,1.1493391023160182,1.0650019073699932,1.0560758194320485,1.29506929573466,1.1874112122713796,1.0078430453200404,1.0024152083009505,0.8800534023226868,0.8976480427445459,0.88999391257019,0.8778444328452549,0.9494940322029706,1.0202936676165424,0.8457684938567792,0.8340732400402538,0.8239640834548005,0.8488671900570108,0.968529693492448,1.0800679782470335,1.1168370017414784,1.1829140472467332,1.1912317049291536,1.1675611942164663,1.1212208542154924,1.049425281602817,1.0773925900630867,0.9549922246833086,0.8758611453103959,0.8943870658692991,0.8376403967193896,0.8646472403110356,0.8897456333327455,0.8621640536150179,1.0870040422330451,1.6380477885780684,1.5944265639564152,1.0517065448850889,1.72917890466775,1.4545320234382084,0.9715929959860135,2.12150141393037,1.4236417483692967,1.05825876668131,1.7583751232588491,1.279795659001597,0.9866949008742161,2.4644481609577746,1.4090279671450503,1.4269369094869784,1.2329518107038833,1.0372568817219787,1.0450061886270166,1.08925522107805,1.0072291152560953,0.9707794063691916,1.0722939139291625,0.9944145142253921,1.036332850477852,1.1248653632408128,1.0830922969173564,1.173149648396978,1.118847407992968,1.1171337857942425,1.0657491263869265,1.536548922970992,1.0187489257992008,1.029884759811572,1.0390222684584551,1.029898594349718,1.028728279193335,1.131959672246624,1.2579954004648324,0.9761206902129301,1.1070210555241011,0.9696796702390712,0.9844206022409094,1.0429529062600096,1.0078447151050574,1.1034823799971085,1.1002996351270036,1.2499352626160238,1.1761122223379679,1.1670152016009452,1.1893179255023496,1.2312626697726072,1.3326669214408822,1.2233530441988394,1.189429228055119,1.3046420045177423,1.195184586994881,1.14268687323552,1.1201617328392717,1.0062052014681728,0.9956131823457993,0.9555576644909654,0.9398451905148428,1.1127173562507382,0.9478219529544931,0.8820959204190568,0.9195616595611585,0.902537743939916,0.9184570735131669,0.8498519482809352,0.9382902850849127,0.7126823867017702,0.7935006027321444,0.7571156630035242,1.0325211477049947,0.9119724703752389,0.8849868554393321,0.8490955641733374,0.6436241490781026,0.7089953464207595,0.7636812371204644,0.7139025336938403,0.8697688025052543,0.7659323443897805,0.7879538968580354,0.8553256038854289,0.722548639568423,0.7471341437447773,0.8121377216585386,0.874165196049597,0.8282920730499734,0.8479381363701252,0.8560590372326274,0.7801614139626506,0.7888274090858297,0.9572388424597604,0.694912780198482,0.9381377404239448,0.8048043794160388,0.7770785515345529,0.80456516736989,0.9222925962780061,0.848640380968518,0.9828454827458596,0.9442322027032073,0.9326421843855933,0.9498839191104429,1.0567598983357356,1.216225870213215,1.986187028355815,1.75958799845741,1.1930961168108718,1.1351122200476844,1.0458384279495623,1.0278621257498644,0.9368813446684673,0.9471024405384093,0.9497790727943264,0.8505672919671978,0.8593836010368552,0.8952839027294833,0.9065243518592896,0.9386210198273864,1.059108393187432,1.1024120459403797,1.1405653603095274,0.8871490855256494,0.8403855155535619,0.9062816910970382,0.8863030306090552,0.9283925970645778,1.0035212332041978,1.0532765237054205,1.0820985416844222,0.9961895069815069,1.0071441581586877,0.9926378615680114,0.9024726349161641,0.8631889124176326,0.8900678200028505,0.9174014280974205,0.9602967112814386,0.9554367296820776,1.079970902489898,1.3816434547272107,1.0988787217687175,1.468108126720755,1.7946205444515422,1.3782667299414404,1.275274616123521,1.0357943075235574,1.1736103275619747,0.9119703558547849,0.7639043231124871,0.8331018070228304,0.7985838746916968,0.7770765783861013,0.8723224737518616,0.8194927848102853,0.796913127562849,0.910431459913045,1.0641079985021147,0.8776051908460024,0.9005504148947093,1.1429547991329525,1.1180838173986192,1.040114814171945,1.1715486591797653,1.3909295985282961,1.25018702462941,1.2554134604887486,1.2156195952274762,1.1549560501312164,0.9189360521379913,0.8823967148983946,0.9925497179384695,0.9136608119496573,1.489518944011394,1.0026591760717434,1.40702206044828,1.0089864805746467,1.0049114592758195,1.0310189558721123,0.9576051117417158,0.8642259160943873,0.8728342440675724,0.8374302572999958,0.8932553883140765,0.9161696193942092,0.8044085700045814,1.1409262792371655,1.1669338049598268,1.088360123426653,1.2356247536768092,0.8383155197149517,0.7880007338448243,0.8347564847865838,0.9462636513713614,1.1145583696592636,1.2534468055529289,1.378213364228018,1.0822490527494477,1.1870383365156196,1.3965692832540852,1.3053347913086586,1.2410038888729598,1.4740566588736188,1.596587736228883,1.4113572016397486,1.4198400284130728,1.6361526639685202,1.7379448985436918,1.434051374084692,1.4348880914578022,1.2162450633147839,1.1745252296855706,1.1215386453364522,1.0131053512069375,1.0087108622980405,0.9551568355445295,0.8913938848384807,0.8414441014027065,0.8270078202337644,0.7911061595896763,0.8313427306379544,0.897946459451428,0.8468322325793195,0.9223999183293811,0.9294131816606356,1.1105382169630778,1.03958608348831,0.9811796773903413,1.3465998409782343,1.4427372613657061,1.1070883176640716,1.0824562068366028,0.9276717117592044,0.892944780411854,1.150044776539815,0.9477394844963839,1.1273233592337233,1.0481672666508166,0.9049301252150931,0.8347322036598036,0.796557653368774,0.8600389338965295,0.736524542563689,0.8243208068207549,0.8529857145624952,1.0955475654218294,0.8177258829420451,0.8067752059025223,0.9182551330464536,0.8696504550205237,0.9515759402503893,1.041471326116378,1.3683036613264765,1.5601642329874548,2.2621907067768814,3.338066468243973],[0.7025065435696187,0.7254680396984645,0.47686490021141775,0.36090053563224833,0.4047335359587457,0.330695225401535,0.3266623725304967,0.3591764230166314,0.3708353677988481,0.3725999229629419,0.44029728497922366,0.5210476505240574,0.46001919848020095,0.4634075532658677,0.7017370421663214,0.6067687917387992,0.5577206100388983,0.6234748733350571,0.677660590221505,0.6598832417577329,0.7487545580063151,0.7398226293739133,0.8706184855536996,0.9896625073241029,0.721952985447837,0.6946557307901031,0.6099009310707548,0.5413165418813896,0.5659767425615737,0.5713706052275723,0.6601858554698012,0.6251970475581738,0.7383494583023531,0.7320040158569873,0.6510431615684876,0.630076981929524,0.5791543060762009,0.598541010544669,0.5627798852399303,0.5947348402427151,0.6084337857611296,0.6907071009780092,0.7303584112260426,0.7703789084717612,1.0991965887928734,1.6555258329218925,1.6662998298264107,1.024889608243844,1.8198264456358557,1.5377279426716586,0.8694140378923211,2.0936221110841244,1.2756345878225006,0.8743734979792496,1.6281199036158347,1.1232232811328207,0.8442374042078342,2.2857863416607165,1.2353304701920416,1.3270669591450126,1.0989062884966379,0.8573445912517795,0.8313239429856772,0.9550809883351945,0.8621469681541838,0.7635913910073705,0.9416424967960413,0.7582059448784786,0.8850338248789344,0.837073945029329,0.9150888596133933,1.1315919770970473,0.9306225035942346,1.0244775009540947,0.7955382774152703,1.36847620975281,0.7636740582505175,0.7335466941919302,0.7220542378980481,0.7481339078947028,0.662456472070241,0.8189234793370903,0.9954340069377272,0.5984077586689965,0.8029350712413574,0.5714268565710471,0.633805442318688,0.6337191430395858,0.6605884212726435,0.7340258780301914,0.7507457128107222,0.9442302401633289,0.8235170088190911,0.7208751530215036,0.6882048946262241,0.7711691753106032,0.7893333116021419,0.6738338427508676,0.5914701441284789,0.7919361246824244,0.6076794962073763,0.5936484764313096,0.5639815698064418,0.48736265813152085,0.5710139268538271,0.5339255410111999,0.5368589890198399,0.6426428542405974,0.49658104042760876,0.5950475789557726,0.3973310335971738,0.3961386128969424,0.3864870204384391,0.38483442766030024,0.4977396506141882,0.3894830352185549,0.4676019328712659,0.5272918462013652,0.8512557654370152,0.6278019557253073,0.6062472902482817,0.4962349461313019,0.4019368888854596,0.36064711897888085,0.3189302734038802,0.3356443489106104,0.4065058001291859,0.36226532793824845,0.36275427336165356,0.47638288418384667,0.4016037236276184,0.3724787673051404,0.44307180713545263,0.5093940614699767,0.46189822889016074,0.5028531235113702,0.617733537607785,0.5386640744791104,0.5713059753132858,0.7074984056010947,0.519284299215018,0.8161933797735518,0.6506632845657601,0.525073423590722,0.5232569663364028,0.5530115757617527,0.4732249446898042,0.5112668108035445,0.4387116114847902,0.40670488552698486,0.4306950526005694,0.5765839979448053,0.9082419970212551,1.7969841658550416,1.4887153182329929,0.6600276753213846,0.5365890515840566,0.4790373004678697,0.4873040678116312,0.43109316547135457,0.5149882296453577,0.5053268370059515,0.526302708943317,0.5154493365301424,0.6094911400893839,0.7121585100401998,0.735572662441089,0.9943676044933267,1.0066952650406098,1.0162144363655246,0.6698815901116177,0.5737386069790573,0.5625290608445541,0.49105305548014666,0.4920322408456957,0.5115477517161393,0.5560463606567991,0.6421528726184597,0.5624079739519254,0.5426747278749328,0.7682444604778511,0.468216357075295,0.507825483829855,0.5470232098344012,0.5798495436253392,0.6886356922074948,0.6968063957987846,0.8724719341551874,1.356384008341471,1.003828447919398,1.4269193499615813,1.5253198402145156,1.18713365402017,1.0725175073409323,0.7742757099976085,0.9999101981028395,0.7064861810452687,0.5670377714125809,0.650826117634328,0.5642808739509269,0.48435569107885185,0.5330441293818867,0.45689275103753035,0.4790613453516247,0.584745353579136,0.761411680962806,0.5897713054240358,0.6126310724901387,0.8925270529605772,0.874104836097322,0.8100945587652945,0.9662402592260729,1.2091138361328193,1.0611661653955327,1.098756090589017,1.0507654499525736,1.030103147982165,0.7406022646493217,0.6509907072406539,0.7592169039357965,0.6792732623430939,1.3228685229476,0.7955675102879219,1.2054184920802318,0.7298275115473329,0.7268189146708931,0.7410159395476693,0.6799817273759979,0.6098846934007913,0.5845855645007805,0.5751721027526515,0.6970966685216277,0.7665891769036091,0.6226827415931012,1.0581966748666223,1.131976749257755,1.0468914760004822,1.179945984778447,0.6794689642998539,0.48380911460333853,0.5537241013755567,0.6506929607639209,0.8875199838835922,1.0224447033252628,1.1661496563559826,0.8341297616322781,0.9178821540530997,1.1362446960910684,1.0300332415533442,0.9753648786504074,1.237218074567573,1.382481361061314,1.175810463467118,1.1954003888527653,1.4468751249014817,1.5745893455014062,1.2459851137204614,1.2487499287026305,0.9982550288691366,0.9408471492956022,0.8578997181103105,0.7507619289229756,0.7487448395872072,0.6730826526105161,0.583844833574935,0.5618696149385671,0.5783521073557439,0.5451976781647836,0.6355463174823969,0.784821345181894,0.702852179155257,0.8224059339724468,0.8628012476679114,1.0746327921639174,0.9878954133381329,0.9197043482004938,1.2987957935379646,1.3977547224611355,1.090261937312588,1.0337743826686805,0.7761238893247541,0.6842817424542044,1.030124318266908,0.8343230943694826,1.0912310933968143,0.9861948619351782,0.7245264684808077,0.5820228809706389,0.5425110911472105,0.6284475891068244,0.4211763985423855,0.36983694947430856,0.39097393037846134,0.7605976903913604,0.36901061469489455,0.4176114189567976,0.4473366659430098,0.3671270321812307,0.6196375813764301,0.804125186566749,1.1122721701457223,1.1669160306194322,2.014987724614459,3.140625379103787],[0.735705896713009,0.6962203399779273,0.4796164378249593,0.33952173474694436,0.3719887144638641,0.3123834728215992,0.2792046743329692,0.28658484011966956,0.2922731482698933,0.27490648900339837,0.298181841885505,0.3898412433919496,0.313666543708577,0.3324113447490739,0.510433683520607,0.4325827445538337,0.4485679913890391,0.5081425515598228,0.5944758713504754,0.5655811069798661,0.6488556012977446,0.6525561787782675,0.8003275195308402,0.9309264163565635,0.7039808547276736,0.6606133143141623,0.543096207544952,0.4576351141823753,0.4526525675084481,0.4321724390202231,0.5235078712630258,0.4656422779112585,0.5939404221291325,0.5518926180477867,0.4932228349420613,0.4929725240348911,0.4294800224930519,0.48396759776501924,0.4676671473196245,0.4947380907271912,0.5198858518886403,0.608300733239909,0.6362553595477457,0.7354454465464833,1.1113833416547427,1.6476026512544788,1.7039409049904528,0.9622651788187625,1.9469080674504757,1.6666853706143798,0.8234559935136686,2.0956641125531696,1.1590913690968183,0.7381798637228855,1.587072473931764,1.0429836891321118,0.9181559530355528,2.0666123686408415,1.084251548669993,1.1446007614619238,0.9225710492531758,0.7101467386074188,0.679243741550654,0.7887791963817112,0.7068153328370921,0.6259337624040824,0.8215660010776838,0.6331596746060658,0.8088101753878033,0.6941767327264989,0.8618197576376811,1.1416959784012708,0.8291309379592775,0.9488432609239142,0.6388063950783913,1.2469563500354992,0.595833611279182,0.5576100788556415,0.546801319924629,0.600716564236843,0.5146071209777037,0.6765278585115174,0.9611922097303243,0.49293112830035596,0.7462071356313585,0.4736679313824275,0.498515439403557,0.4926210154255914,0.5101936365657348,0.5746632173349766,0.5814858483639093,0.8032602637710907,0.6726199842843482,0.5625437251777585,0.531362645764294,0.6332015685202728,0.6317350536110877,0.5254508976206315,0.4538138623697569,0.6904896608787291,0.46685338547211025,0.48573954165330613,0.4212683764745482,0.39720380792277804,0.4873629146158082,0.44411929098233116,0.5106928104506753,0.5794120852412956,0.48181500871868677,0.575869827699994,0.3637493272704916,0.32318540940559515,0.32091781141263853,0.32716703162191046,0.4473986336319604,0.375881443679399,0.41524100357433724,0.4807254295447605,0.719743259038518,0.5623872867261585,0.5417087640389194,0.4474654000048203,0.39458755075428376,0.33764118247374986,0.28270399577462996,0.3206094585567729,0.3879423722367192,0.335633805410558,0.3182113634969941,0.4233328667904971,0.3542096520569642,0.3358146327190712,0.40295040387883685,0.479135678381966,0.43331500478582186,0.4849213149820688,0.6254700107261881,0.5403934470676637,0.5854290908053519,0.6288016951057795,0.4759539649678949,0.7427595314970591,0.5929990902254301,0.4596709711777597,0.4416644652858836,0.4545605427491222,0.37690847746461126,0.4088184749360729,0.3308588342188366,0.32966585316898106,0.35917928939811367,0.49900315849899307,0.9045033859289057,1.7684399772608081,1.4294672876121581,0.5635119256091536,0.40675140364860185,0.3801593755181125,0.36316553362066595,0.3380776156660551,0.40693592638149906,0.38760749245131676,0.4490386245836199,0.42215681585777803,0.5611246844433716,0.6398946903238143,0.6711569745409816,0.9418034984821695,1.0083867480140194,1.028326143694506,0.6705261631001295,0.5462690404759601,0.4977439271414681,0.40061070902880014,0.3786946908724529,0.38665117511773756,0.4257197510214782,0.5620231806715368,0.4446433857209371,0.4432224886192542,0.7095266836303696,0.3862817582841553,0.4227289863425708,0.4498396604510256,0.48357875139806544,0.5935063923690631,0.6040102407015113,0.8001880729262223,1.3507587940442403,0.9272509976464988,1.365517050453224,1.4004886108901162,1.1130222563634249,1.039216043591608,0.7231359316578447,0.9190883055185157,0.6855620334112956,0.495360045162576,0.5737954308243359,0.4995739030515742,0.437963160563852,0.5420277088440728,0.4351106226566735,0.4540460646762171,0.6145165190000739,0.789275057171471,0.5806276795646202,0.6199599901030665,0.9393644107352594,0.8903616149960004,0.8163448761062543,0.9929564231189003,1.2323616847354613,1.054164087236676,1.0942396409837274,1.0302772827872904,1.0466271813352857,0.7331494783731698,0.6572733037949591,0.7880659511112035,0.6911821685744859,1.348494379998625,0.8074038170309923,1.3045873113364137,0.7797489468589993,0.7747046340105426,0.7889630047929436,0.6790375886230674,0.610893420155278,0.5551407851513993,0.5444108651200885,0.620372897906951,0.7094857515697792,0.5283601878175057,0.9632584360888068,1.0106790645384947,0.9514774538948795,1.0902264680168738,0.5973622704163556,0.427129012231994,0.5155728714042873,0.6774153765549024,0.9261308437850565,1.0777628936121106,1.206090735178527,0.8771060394636854,0.9798258518587781,1.1934119881911214,1.0790350148784538,1.0392592076210256,1.3135134957371888,1.4536559595925849,1.2395713002479827,1.2655626675145204,1.5215043602098848,1.6325987836640952,1.3006150526322449,1.3185590792045683,1.0622144610854338,1.0125700592755356,0.9265357918604338,0.8084215630547453,0.8082407324208191,0.7147594027239198,0.6163979844797937,0.5764047275519203,0.5950438573318705,0.515372098180324,0.5775362535377908,0.7446627043733002,0.6612061797418267,0.7362715076377815,0.7648146384004366,0.9947440261931759,0.9040803620309669,0.8688145904373594,1.1981819642575608,1.3445717815712852,1.0732099308497662,1.0120938297775819,0.7611839701670714,0.6554681353283619,1.015842571399489,0.8171669273580955,1.0605979186786558,0.9681758030176666,0.670738542750666,0.5430212385920598,0.49949361649908575,0.6205477085706604,0.3815743123696759,0.3514037028519576,0.3751062082845482,0.7302399489850495,0.35875687786515503,0.4069471458606783,0.43661438189673724,0.34011344468516086,0.6200025996581313,0.8053586242738745,1.1176830720829036,1.157924380517245,2.0142597510194618,3.140623440333191],[0.677924305509451,0.7583928436001567,0.41388414964723763,0.30399148000672427,0.3696293918777748,0.302968820717283,0.2734222092963366,0.2861312255620627,0.312641535132108,0.3189084624870958,0.32254939438314206,0.37415728371701956,0.3444848723405094,0.3691503623082391,0.5547387095094601,0.45495235740991546,0.45706350913468385,0.5206201998174868,0.6026325688323338,0.5641005145389055,0.6569197569258093,0.6714657095505684,0.8059373200966085,0.9225008689777083,0.7434090519088377,0.6822474949123011,0.5602961192031376,0.47125113249558626,0.4658372397265601,0.4478400743849016,0.536396810626271,0.4801295109531846,0.5740195014813868,0.5609820118936019,0.5182978594766581,0.5126665289058211,0.4570110896769987,0.5105374479009779,0.4792318265005626,0.5219209262805927,0.5436020608954029,0.6196397367850951,0.6321151540513645,0.7698860308286382,1.1692239422900104,1.7364744330002904,1.8146799660045285,1.0237595638028611,2.086621462580544,1.883791797902567,0.9255139330045262,2.156843781052472,1.196163412034283,0.7784635622648375,1.5276890989983563,1.049786339773849,0.8327922309623252,2.0858830869104135,1.1116954541351103,1.2356044006575528,0.9699991988362507,0.7445827412807243,0.69633792906767,0.7965079983798574,0.7369446390935084,0.6491729175084269,0.8086261069175625,0.6291591252705215,0.7973285598994332,0.7235192437540261,0.8421365604732385,1.0704374789125446,0.8272263188390401,0.9424353860262947,0.6551507487902178,1.2489408472106274,0.6021264920613594,0.5744847570994199,0.5674694750553806,0.6516432123275887,0.533769912531652,0.7102269617214797,0.9762215080180204,0.5088100292602685,0.7809654751833368,0.4952401002837181,0.5242527031131893,0.5053507192401465,0.5421895489588787,0.5920465696395975,0.602952358962543,0.823732755550618,0.6952742160084955,0.5661989820877715,0.5358847407003995,0.6376123646322389,0.6299829225562157,0.5092986642745602,0.43388300558608334,0.6562080632719719,0.44714308921831,0.4745615186204684,0.4493021686137678,0.41435587362157555,0.503644265112474,0.48439721910874967,0.5155484332337147,0.5674200847234777,0.4533183397287158,0.5834750409033124,0.34404058926444975,0.32873895375111817,0.3175302735491391,0.3426802422175664,0.43294940769510315,0.4511249877842205,0.4522800077614537,0.4958402927731357,0.7309866449023339,0.5623176632159829,0.5673646161423587,0.4835757958863861,0.46651004076623825,0.38672205880861504,0.33473644576039896,0.37006547528166334,0.34596518236351353,0.36810018629397523,0.3380303221231747,0.42276994817896435,0.41081578068868174,0.38392223478868204,0.43074711593370085,0.4660680530628792,0.4327806201569299,0.48607550231727675,0.6205825468280715,0.5308152963679023,0.5495398800353622,0.6808039969534166,0.5430071212609578,0.8011896919690699,0.6051340027813147,0.48029271910208926,0.4682904566000496,0.4815301532847035,0.4093119051370806,0.4278974721850295,0.3555581231366504,0.3442807070947469,0.3859674880096732,0.5030590682403362,0.8990903619923151,1.7072061272552757,1.3837347272066227,0.5254691322200538,0.39347790241446784,0.3738494169171474,0.3864801254178716,0.3773659091901134,0.4366392147050412,0.4106376718945172,0.47199199140344633,0.446969898943296,0.5776052664786662,0.6356521827411211,0.7213472563245018,1.04997977104409,1.108116274967891,1.0723802394508974,0.7086223696164183,0.5748175682227468,0.5268969465247388,0.4170531943529033,0.39942422723891047,0.4072486964355534,0.45439447517261544,0.5703310748585229,0.47047279247073204,0.44738880550028237,0.7510412528708428,0.4233466388163813,0.46637016231962264,0.48826285148101917,0.5195287835921832,0.6295084309597021,0.6599193298927565,0.8209048922743086,1.4368872414444027,1.0370070548851833,1.405005255363219,1.379978106559925,1.1714776980618185,1.064358585037779,0.7671559531226395,1.0464120127583834,0.7210842482068837,0.5834522821574105,0.6584707762828134,0.5695642690024597,0.47428544245317916,0.5276304358665325,0.44555482656085277,0.4786806997278923,0.6112885958855732,0.7997550499694241,0.6049249070317837,0.6496863538697767,0.957109696154521,0.9549149425595489,0.8804070278306666,1.0641544073628812,1.330030667666512,1.1701888265083482,1.2171473190080004,1.1276288510091428,1.1213317225091597,0.7790476337681573,0.6959511201656514,0.829389230027535,0.7256592598062296,1.3035508329166487,0.8287035743929393,1.285568722863258,0.7711388677712456,0.7415558907800708,0.7496928992592309,0.6423607218414862,0.6255772967375647,0.591518857789937,0.5633567640547434,0.6816758337086607,0.7781046449335592,0.6285754299149807,1.0401192295275319,1.1787607884635771,1.0723777816850253,1.2181919105287027,0.6907186792706298,0.47701754924486434,0.5405934367136966,0.6386632679497749,0.8654487545084371,0.9933296796263528,1.1359216222504385,0.834571981445573,0.9162882868371909,1.120559076377536,1.031182183873278,1.0047145350592994,1.2862073634244144,1.4468109425491038,1.2553844468498603,1.2729636521352259,1.5356390918861251,1.677565898205613,1.3431471944622464,1.3422547676963494,1.0780406130958813,0.9989822736533587,0.8968610004330952,0.762042860014375,0.8053596896124124,0.7188095251526024,0.6059041663730996,0.5941664294660949,0.6177138009591864,0.565067081333459,0.6503622998009564,0.8295339284388253,0.7199674784527837,0.8342516220131772,0.8634683437416703,1.067781516166144,0.9781490581764832,0.9085852483797661,1.2732304020676692,1.3639477757830294,1.108696242602784,1.0173164874574114,0.7663124720858369,0.6985291639562785,0.9626551935429923,0.79990409255216,1.0819856277396702,1.0077178614001097,0.7071368809545706,0.5740650532155397,0.5516051957697342,0.6482516684546282,0.4150977742446368,0.3294736668572261,0.3799928118743302,0.7405118642517675,0.3459174908361335,0.40646396685793584,0.40861314824387385,0.31134061179201167,0.5568305760669182,0.7171722505755406,0.9925865423023351,1.1662024967143465,1.8504811788684745,2.939126913113752],[0.8196499347840781,0.733316478174776,0.44295177904928673,0.37393531702059685,0.40354629112581447,0.3095599581832378,0.27796954669130935,0.2730377740358435,0.29635451148020064,0.27137203195368853,0.30566416812053765,0.37023095221818575,0.3056068933472766,0.32790895358043665,0.4640921153973531,0.40631089734419895,0.41180688830089734,0.4676837021048044,0.5494410426901734,0.5144743604364466,0.591093684043094,0.5966398965578046,0.7341861388306545,0.8611621381271928,0.6769771145140137,0.6125621570985935,0.4785832054175149,0.3896633970533113,0.40683742018770314,0.3939761316406234,0.5086561027465973,0.44063870163750024,0.5915297281672905,0.5114860480185389,0.4543285629869838,0.45437949422796553,0.3890836504633587,0.43438507176808117,0.40199897197290874,0.43481676368938244,0.4533033116423934,0.5480883690653476,0.5656072205464315,0.7198051049567767,1.1172327371659834,1.6656859347036377,1.7596859089905144,0.9446634442947786,2.074603256726138,1.8469525140985428,0.8359714719038112,2.108800384761832,1.0970600456163047,0.6555701705851426,1.5450854590690952,1.024255116412831,0.9838778398771543,1.9095992842809817,1.0028211150906579,1.0571990326984897,0.8284055847727088,0.6655683409901971,0.6337273760228952,0.731063266909285,0.6280423991893961,0.5619753146739425,0.7894923499775872,0.5992362061228319,0.7740534722877089,0.6576408647502475,0.8452806038368488,1.1573558963167454,0.8244405869535842,0.915989909702409,0.6154157501877608,1.211722878440104,0.5519791261271624,0.5306694324337734,0.5072259397044622,0.5526932998713908,0.45721342162334194,0.6351361463093079,0.9746369397310237,0.45143486171093394,0.7074916732325529,0.4350620810512623,0.44716323049731227,0.4376271710422729,0.4724900087792861,0.549517688963959,0.5551089519281234,0.8044693916358531,0.6619284206034131,0.5563189233498944,0.5182563083081781,0.6354641444846546,0.6070645895936,0.5069360927965475,0.4405773533630696,0.6939538629910545,0.45155194759374473,0.5004369652422206,0.39261693717903917,0.4057987679454088,0.49731861154083185,0.42383810095002183,0.5340209126152596,0.5470521071087331,0.4944988330111266,0.5744835390295293,0.34548478412001155,0.2716582543114,0.27830079875726604,0.2916112913393949,0.4104675041584407,0.37687554760133357,0.3752750581186239,0.4318611658803361,0.6329772250253571,0.5081628732105874,0.4834691021421056,0.4069682075685078,0.3990530207205704,0.32786527814971667,0.28079913725561634,0.32101799007457554,0.36888433623611994,0.3394768774386679,0.31537832588739223,0.412492375942678,0.3653715212788701,0.3691383177010668,0.3859249989040658,0.48753181144106916,0.4182873286758061,0.4825147876648121,0.6376993582518894,0.5283691980339287,0.5592330243273865,0.5829429907183621,0.4916880343280363,0.7147484572687042,0.5489821587882291,0.3978713431036246,0.38200973938693394,0.3951807175717433,0.33099386567576616,0.3829878622680302,0.3080314488551601,0.3215279723047606,0.3544964895511005,0.47782567595069525,0.969423617462813,1.7518755815857678,1.3487789009902136,0.5163903856513051,0.3799266752069327,0.37403612818169124,0.34965939168991483,0.35133841913052466,0.3740929091609137,0.33651343977231096,0.395581981050583,0.3701528644436168,0.5338263129584425,0.578757284928711,0.6531527707023819,0.9732822795024019,1.0742579747635062,1.0645607129757315,0.6918380587936164,0.5398769383115136,0.46815422867623224,0.3617594459061162,0.33530959589757986,0.354785135905042,0.38256460754424776,0.5650075976594895,0.39295279288359913,0.4122257613472281,0.6776399604123663,0.3615240540996454,0.3889148548309812,0.40493402675164636,0.4508138618078498,0.5315219344291097,0.5437698982658075,0.7372204553560544,1.3653818215536524,0.934310750641307,1.3331689786813552,1.3120006911866466,1.0782747614193504,1.0181718363987562,0.7114128900549271,0.919614077205119,0.6861895174230773,0.49634748666001777,0.5740154080757455,0.5085144634316178,0.46938858257468796,0.6057218880762769,0.4709078620020016,0.4837972912991715,0.6939022541233656,0.8654996079300978,0.6094416771854616,0.6744247520078267,1.0517470792370227,0.9643275076285175,0.8670893017148052,1.087533008237874,1.3449226586278589,1.1049097261844292,1.1590735643893728,1.0591044133912055,1.1374734531128166,0.7639524585017292,0.7132890252635369,0.8789194839060784,0.7798070304206558,1.3729945181108738,0.8992415726077169,1.4209166936842703,0.8608668611465247,0.852090764160107,0.8505857112417308,0.7149518318671748,0.6700123669384149,0.5844937873042161,0.588040848171658,0.6281901892050876,0.7447873082766752,0.5379003243568592,0.9108024161097215,1.0373754289574872,0.9630962762003437,1.0711467072876861,0.5978800770666234,0.4393983827605341,0.5370909186432558,0.728149622075535,1.006994899013402,1.1679157598711063,1.293957992614914,0.9739442845686717,1.099471514871403,1.3140010828141424,1.1872123505138152,1.1617815557430575,1.473111062255266,1.624053232222035,1.3891431254479305,1.4252969848921282,1.7035371876230443,1.8030322762998117,1.451229939043866,1.4859071710585008,1.2065824536035339,1.1565047046924648,1.0509217867802472,0.9279776294973844,0.9330337147727473,0.8100654840852235,0.7072232557875778,0.6592884322004084,0.6649768629095588,0.5618024699770053,0.6149976859161757,0.7984746031129234,0.6855570247505601,0.7658684677832959,0.7857451766294639,1.0315600350497733,0.9325905093822713,0.8981598817490514,1.2046856237451378,1.33909517320658,1.1213804934568412,1.006851697285386,0.746651323848558,0.6389195215697189,0.9653896507620291,0.8204047196855229,1.088409417635121,1.0241276819944685,0.6918219044521581,0.5744879288093983,0.5210707133468022,0.6625776162748342,0.4258521304446537,0.35834665932806026,0.3807962609578411,0.6657880916930763,0.36610705758925216,0.42643950378863493,0.4356386115048311,0.3309096144548806,0.6197526087090139,0.7953975831998192,1.119893175475457,1.1923796836980138,2.0908814195714145,3.218864904430534],[0.6936083336474949,0.6712254518562242,0.48114814640347975,0.348024029853869,0.4736301200095144,0.3731394640105912,0.3497946897445698,0.33751615422489556,0.3787418544643906,0.33564883766769416,0.3565961397851547,0.39800672171923035,0.34538622724529366,0.39309529791685527,0.5282771720237392,0.44488269654140905,0.4778599075861991,0.5281563708851061,0.6126292405408399,0.5667606124571065,0.6604752026463986,0.6758769463199659,0.8127533897644292,0.8820260518159604,0.7436930070073569,0.6647493895588316,0.5524703437011166,0.4821662793721627,0.4751385466898429,0.45475715778062886,0.5382507278879137,0.454746278391656,0.5688168357266864,0.5266125759485657,0.48976104765580564,0.4972140065415584,0.43856296904597136,0.5206915267027632,0.5012924208875797,0.5209891293089277,0.5545656505039293,0.6272694171281001,0.6327454174209506,0.8008607635187572,1.2662343344041938,1.7905246922258424,1.9785938384700632,1.092401695839628,2.277885203036087,2.179877999276998,1.073584592464096,2.1684719197061115,1.135130401738097,0.7676896576677531,1.5350340187936944,1.0479969358604642,0.8988494660515945,1.9167874593805894,1.0431015971682298,1.2080537853915227,0.9332080331883038,0.7304323257465235,0.6736157088613764,0.7729392637412018,0.7063980712595986,0.6356068507464926,0.7677538870552323,0.6364427506153075,0.8142655403923887,0.7321362970429975,0.8807404963526634,1.1443497280580708,0.8666904450922117,0.9405110771159433,0.6726004373519666,1.2054270832012834,0.599475003913214,0.5642762993279422,0.5462390452047959,0.6161324902676654,0.5038974676894157,0.6767193679042329,0.9880856062424419,0.5202477523865958,0.7569286117164217,0.48689996233373906,0.5079269265742821,0.466226481537374,0.5283109709212294,0.5722749101352858,0.5959591758949611,0.8442884522900236,0.697720408895742,0.556893124578245,0.521791922014383,0.6336841642835632,0.6236518407336525,0.5179187200341369,0.4458139359277658,0.6488943571668367,0.4476778894308006,0.5226890731760664,0.41398904593511665,0.45329834438439287,0.505208094278388,0.5074119873067822,0.561741207475186,0.6073147291348168,0.5409913087358256,0.6275947881415447,0.42116903592317756,0.3623943967011456,0.347583347877898,0.37083493651366656,0.44251209213234977,0.47730951676854083,0.4736675021625703,0.5409395724460755,0.7180691964371154,0.5579473662456889,0.5746337448526737,0.47563683539246054,0.4839949605522845,0.40251757900337903,0.37591050636051115,0.4030656597601149,0.41548730434179487,0.41582350300415477,0.4079662135289574,0.5026243420999741,0.4507457645321007,0.4644848745255746,0.4764266750278367,0.5291500015737879,0.5061451830153416,0.591208757967415,0.7073524047072046,0.5989852497043754,0.5944550940117678,0.6885133109920738,0.5985975711995413,0.7637651469154523,0.5996329721077741,0.5055768671889469,0.49427207262640455,0.5031767111354034,0.44755849745524984,0.4441334802761389,0.3786524164280689,0.3898786456746257,0.41447135984715944,0.5372453680895782,0.9807619436799931,1.6289647765240294,1.2881411928913347,0.5089978892130294,0.38863693772566604,0.4035657463733136,0.3679124328970739,0.414800571071731,0.43979334323343844,0.4383074745644029,0.4944754122786085,0.47537141998769344,0.603830970688656,0.6626399223599535,0.7937134186375171,1.166592436279432,1.2591461443312058,1.186081738297845,0.8056627661602844,0.6403591091413338,0.5602821866640975,0.46034350213303454,0.41970362709047654,0.4147830111655411,0.442033490195475,0.5680870303787714,0.46403140612210675,0.4810897102762483,0.7644908180249278,0.4663750599902873,0.5038177695793511,0.5132494085593424,0.5540256036233954,0.6124054444535013,0.6398782318684656,0.7983563961245198,1.514553299823274,1.0790143699386403,1.319313348237067,1.3381358265357521,1.1761090598185846,1.0602996716946624,0.7781033140578385,1.0251374436393659,0.69307987861558,0.5506745136247436,0.6448519024621165,0.5874280097370479,0.5977946124010575,0.71658928330219,0.6050184609832358,0.6278126783999318,0.8492198355142888,1.0520878835396548,0.8007455677740164,0.8703761952553963,1.2409286232663124,1.2264131536542788,1.1202740671033498,1.3476019430618744,1.6445233926327245,1.444904865821817,1.4697328364755673,1.3304071167993137,1.3643587631571912,0.9041621283111669,0.8724787661485401,1.067675623703897,0.9384508125001041,1.428596983885853,1.0507406100056356,1.4692586839817527,0.975934312870912,0.9345681559709832,0.9355004837957469,0.7939438862644309,0.7869051879423647,0.708165652064399,0.6874929558873649,0.731251489802468,0.8408883881291097,0.6544608629163333,0.9607309013303107,1.191979029164447,1.0631528452951933,1.160266862673063,0.6917934635084917,0.5288238523922537,0.637307796588701,0.7944540189872601,1.0196943813397306,1.1499293963116546,1.286891562119322,1.030841510193209,1.177113468471643,1.3390375284443552,1.255184041125254,1.2741217104295477,1.5806587253218054,1.7477720527632543,1.5653570583983287,1.5825143272112696,1.8596356028201246,1.99598810837366,1.655853278896201,1.659628375289646,1.3829395494592192,1.304852794003901,1.183285036517485,1.0356882326769827,1.0831051255962307,0.9768506245914677,0.8440091439202598,0.8056471919039482,0.811526475508223,0.6946948951389467,0.7452276500914455,0.9072608707329465,0.7920488171626778,0.8682248326503796,0.8847108376511884,1.135383179099543,1.0083089015765931,0.9523267605079483,1.275969839772467,1.3457531670752414,1.143942437608467,1.009642442904475,0.830595272138827,0.8413826524894775,0.9125788939391982,0.8261140375655639,1.0876659224719538,1.0758634276656447,0.8022114785907379,0.6505976026976554,0.5848893041218597,0.7187257308115139,0.46260809784737533,0.4451519177288184,0.4681614586292275,0.6380183728304452,0.4544846272290973,0.4779928175856451,0.4880671992681031,0.3887667248117622,0.5639307997344585,0.6325310370885353,0.8471389193782716,1.260418158766011,1.7428016557438613,2.844892154523468],[0.8167760503105586,0.5817134989543318,0.5050558166028144,0.3478162382495742,0.5473079325446577,0.5049280117229177,0.49412884461057216,0.49588545868435935,0.5051151761633346,0.4238180493210609,0.43167494482073415,0.5335527538437151,0.4373387775371863,0.39862609300661095,0.5216784287096244,0.4776009965000218,0.4393361407018115,0.4562573549889952,0.49454742581198163,0.472126020725578,0.5331792387718064,0.5653204917901388,0.6921748503188774,0.756913240293923,0.7303360412864573,0.5800997686055623,0.4236598079601852,0.3788120796919285,0.42322503538028766,0.4492968597664048,0.5275690677047553,0.5240918242832925,0.5963407543788566,0.525095890699301,0.4883320673045523,0.46064776399230917,0.46529326829116513,0.44189048961720406,0.42583522423833614,0.4682510718929036,0.434117815931479,0.46607541237907035,0.46328454623160154,0.760048774660135,1.1336732453367613,1.7170463207418982,1.8795784716796151,0.9899519666656291,2.43572135828731,2.403430810624891,1.148274847841536,2.2098488559561824,1.0268648388096204,0.6099675659799595,1.467744664262222,0.9867513799152334,1.048500024342916,1.6436046890499094,0.9015049313653343,1.011835774453258,0.7646774621115513,0.6326158780556352,0.596361412376552,0.6356630381956812,0.5661797009783379,0.5299826402838368,0.7039364348133441,0.5224088179541799,0.6955720378432737,0.606302941070104,0.7935578924551605,1.0915509820282827,0.7746064172548561,0.8397657940808168,0.5835407610490503,1.1325991252062109,0.4882407317584964,0.5039075287095317,0.49134389473283624,0.5178959178133344,0.49231035764937314,0.6415853120256985,1.0113439923589165,0.5246425392614407,0.7366055266130079,0.49693473544010014,0.4617439512560767,0.513421710149165,0.4650265836909315,0.5580922755448773,0.5337130400637732,0.8014189786170784,0.6534846790509895,0.5660972868884803,0.5501906284787078,0.6473060208489982,0.6457979203777193,0.587835200154384,0.548754049451204,0.7382047843035028,0.5459125611870235,0.6218755329113261,0.5224038925388088,0.5986551633939682,0.6387250448761449,0.6151688815003512,0.7087849176378338,0.6743925004763324,0.6677663366882463,0.7280312724350904,0.5559112697054308,0.4778705963378801,0.47410248593961646,0.4231734952471322,0.4540832154776574,0.4121326932729464,0.3816576922994919,0.4839783989751179,0.5905365392489987,0.47986765735582604,0.46349986420963435,0.4370711561788545,0.3746941116265438,0.3505718940417089,0.40891428643185596,0.4346997255848646,0.5248035133002366,0.4973205367873353,0.5337495170015552,0.6328377689746173,0.5113953103857483,0.5340202182675822,0.5457665922406361,0.632741101666,0.6003418862643942,0.7018878173781176,0.8550065268637423,0.6685853745346934,0.5903927942020479,0.6280186137542277,0.5403586157701384,0.6396848287541388,0.49253863435745715,0.4304156035047389,0.41172165280690864,0.45723194657966365,0.4042262655057298,0.48380874231961984,0.45176125090495634,0.5005419251560861,0.5372554014438091,0.6363565788547094,1.1560332003809568,1.5805275376402679,1.235512135226292,0.6076393258872378,0.5012943466879368,0.5471569675291104,0.4833633414423672,0.5398040710402698,0.47821602779491956,0.45896886445567603,0.48241356446824846,0.46898157370217086,0.692169087493657,0.6370487699497307,0.8177720582455416,1.1893578527626418,1.3430760755706088,1.2406468943449047,0.8962650159267199,0.7172522536533603,0.6387183424807058,0.48342740717046717,0.43813716954820825,0.4884598773949002,0.5054028137217608,0.6769689598676052,0.48043066272611085,0.5868126454224356,0.6647959385752109,0.5702212385255142,0.5557612179436483,0.5154481360377688,0.5655863210532391,0.5506732193974845,0.586362251040742,0.7415161100610801,1.5064324219198082,1.0886215414545486,1.2475465886606558,1.3087067965225014,1.1623380382853554,1.0833435374848432,0.7850400626254623,0.964273519188063,0.7575922128367208,0.5446824354685703,0.6278171909441663,0.6252690615936473,0.7102736214626304,0.8918822712928037,0.7335754143635621,0.7100211077311833,0.9895036283362858,1.1800161862940626,0.8348168484320044,0.9336712685100157,1.3745414948472794,1.2982035936196212,1.1441902023821444,1.412434895650514,1.7276558745815593,1.42827750429144,1.4400156998446048,1.2900202899462339,1.3913619861110096,0.8916476262222074,0.9016787693889617,1.1271159886225788,1.0211700880580334,1.4668273445127267,1.173820933581555,1.6558755084206054,1.1179333105334,1.1032990529758444,1.1196540663970334,0.9226485530934138,0.9106092039611996,0.7912595344201634,0.800003089541632,0.784900038409666,0.871260884667401,0.6576802363275267,0.8679588344285253,1.0899977481392622,0.9756393043262435,1.0363228608969248,0.6504869765261024,0.658846951714212,0.7797406515788964,0.9735193471627825,1.2347755808682452,1.377546293434153,1.4997900352753688,1.2574022723442282,1.4010733182169735,1.5631928377046156,1.4594168541097752,1.4663056403582675,1.784890545920916,1.9390043542099396,1.7384478967083126,1.7600287689558276,2.035363194612287,2.1389360473095738,1.789944268364751,1.8107027704915,1.5235679210220845,1.4715764104852218,1.3607162887010378,1.210554029670245,1.2293647990246577,1.1004428844502638,0.9895086844849205,0.9056415276972489,0.8882633505510852,0.7467725322805506,0.7823465603566883,0.9231784175883933,0.7795575899952794,0.8206061776317757,0.8258746359712444,1.0952962826986827,0.9602333517517542,0.9219611192790241,1.18613897254256,1.3078246971948915,1.1679996228725507,0.988765528519966,0.8130359684891609,0.8078526326896205,0.8761038396779577,0.8376569863726249,1.0864287593211497,1.0852348569994335,0.7824337989544886,0.6771165360383075,0.6119129060633984,0.8194590638538182,0.5256718049988514,0.5463663518911779,0.5584188118169073,0.6880516513733705,0.5922511285075183,0.550090380565001,0.5852491055653772,0.5106772054325353,0.5837029697539854,0.698956114707668,0.8394293980462845,1.3051521000475272,1.7026877405194605,2.843905756489737],[1.079395654405628,0.5550208238999095,0.513301044931531,0.35365276001234763,0.5121938753059685,0.4741230790392911,0.434829236273537,0.4452185342992151,0.42072492564063807,0.3337855439937516,0.3538584526791513,0.4623139856949716,0.34576477826342955,0.323905538499568,0.4501456788079491,0.4121390464072687,0.39953553860175406,0.4431967628863757,0.5038046157220832,0.4669402384085465,0.5185209147260994,0.5344220379254553,0.6777724912454753,0.7701726044138817,0.6850630870280584,0.5648081391791773,0.4205449111781098,0.37957098419830154,0.40208983775275225,0.4098805525168795,0.4875690204474282,0.4644873699180663,0.5843182344243856,0.4848878912580589,0.4446089388399012,0.4209394838494228,0.42297799380034135,0.4024258589101537,0.39915088222475176,0.42399100929850153,0.41424257793973357,0.46607931199637903,0.4693935394635063,0.718687734951055,1.1270543650763891,1.67288124127922,1.8312754895581247,0.9458346832437031,2.2854391605550544,2.1726389144158347,0.965101980529757,2.1186891825734135,0.9986127097494348,0.5579224351365866,1.512450665520315,0.9969600459078743,1.197191001201075,1.62933249577317,0.8960662073263359,0.9105016903750871,0.7002236997793209,0.5913632879934321,0.5699372428772999,0.6350890374124812,0.5334261207221004,0.49576845222038185,0.7033900750957979,0.524654964364082,0.7147598687984522,0.5983311359426039,0.8259494919232416,1.1722487980972738,0.8010643618801335,0.8545095274837139,0.5821775542772605,1.143204505507641,0.49394853505089586,0.47886807219122446,0.45323830009484045,0.4902696523515799,0.47156849910568954,0.5731613463981491,1.0047311012561897,0.4871193366459789,0.6882812528076676,0.4534835201184297,0.4312473311975718,0.4661460879397848,0.4256506578789564,0.5408998214287777,0.5007635000433647,0.7667602634972898,0.5996230667557679,0.5282567310860052,0.4990639611501725,0.6005216839886252,0.6087585320899778,0.5358903613112389,0.5038349757065959,0.7689354759652125,0.517279606579876,0.609271165064522,0.46568457907111815,0.5768807574731365,0.66426310960389,0.6395847037944878,0.7608503077815857,0.6762377813383851,0.7004554535112073,0.7143769572411452,0.5527621632662513,0.44292155948121037,0.412080026079521,0.3560241363941966,0.4200852862823604,0.36306902814308417,0.36758179371967253,0.44440572901079356,0.5711478810914311,0.4836835424968144,0.4541317401235891,0.40860012982802224,0.3352651783675061,0.30448737717367624,0.33705030227455707,0.37332934251921407,0.5321063145246601,0.45804364483605586,0.5086172327206572,0.6175515716837551,0.49482794175459033,0.5296529195812293,0.528165423252119,0.630394751703681,0.5885813518328544,0.6674355829545268,0.8367124604938134,0.6618414828288145,0.5980313657397478,0.570336068935714,0.5148037546318173,0.6157905068572643,0.49349355016707364,0.40801483910544073,0.3805439412569914,0.4139055058224065,0.37410127806291815,0.4272267603189211,0.3928014855312671,0.43458138408404945,0.49726321407956486,0.5770804909473665,1.1542063722134062,1.6593975320184944,1.2217399842981662,0.5915032528752295,0.4642504475878643,0.5097924693170727,0.42829477530831167,0.4921510888230362,0.4511622253148062,0.41945786885171316,0.44815138505025204,0.4269111325953763,0.6480263355534546,0.5830016190847963,0.7658884920557771,1.1074989858542361,1.282963200514246,1.205470599772433,0.860510775691152,0.6731046825440359,0.593557544246178,0.4669717342552211,0.4001263343487475,0.45758525952714624,0.435117775747451,0.6514893833200749,0.42851595184019536,0.5768008644831021,0.6701585774729738,0.5350257430810387,0.5274354757560307,0.49751505025580345,0.5348674266524208,0.4925112994742737,0.5152362036934011,0.6912433202708511,1.420006055627448,0.9848794938122984,1.2340393105534597,1.2723680079076456,1.1060885578547692,1.0665472088848773,0.7534140836931134,0.8691577455471523,0.771388349260024,0.5210162569160648,0.5897555351335082,0.6062342582913915,0.7571429192018012,0.9623807754051343,0.7444898377024466,0.7270577153701686,1.0529121854700563,1.201316864768202,0.8107063813555642,0.9393845534053464,1.4348729069181003,1.2541247269647238,1.0928272687972143,1.40791966133934,1.6968847180886488,1.2924209034644443,1.3427752153933463,1.1946881779298577,1.3898460784154059,0.8917494703424197,0.9188560221517377,1.1787498447444285,1.0974890286441465,1.5811936693543915,1.27845054349773,1.801143155909812,1.2394510416639517,1.2544922028553498,1.2648075867860702,1.075141536640412,1.0198390523129286,0.8707670351046259,0.9004638557902311,0.8351262418775299,0.8991184285063129,0.6723921118725664,0.8618855472036969,0.9903539955012567,0.8971652759415416,0.949038551619042,0.6202485054136264,0.7085601551585693,0.8542707036519208,1.0959673174616353,1.3804302254137095,1.5569123253322221,1.6718938953536056,1.3878957099615414,1.5725845002649272,1.7618357457788778,1.5936576164359193,1.6027960721530548,1.9639431219216592,2.108757668440036,1.8428251059238587,1.9032755418301395,2.209243016471899,2.2455289683107305,1.8891233608241798,1.960917677167998,1.6407745094466557,1.6190708230342867,1.5005290241135367,1.3645767090634577,1.3652869874126832,1.1837141725295905,1.0901471454985894,0.99381638868904,0.9461928596117568,0.7819791807531585,0.821353113573091,0.9230728220520662,0.7690422578849897,0.794147083050673,0.7998098080986058,1.081937390546139,0.9417588628814159,0.9182340755738538,1.1557293053600632,1.2966812643222592,1.1948885986901243,0.9930352291024943,0.8030066287816537,0.72583135443657,0.9001502668670738,0.8669087088843411,1.0839735116555564,1.0831132078327348,0.7733956340531872,0.6647960499739528,0.5898660451510623,0.8066778541399967,0.48902937805273766,0.5526601035222691,0.5642356181833028,0.6545281454694842,0.5861107281107554,0.5734086099618434,0.5898646656836283,0.5031489683077939,0.599569842819273,0.7503773666465984,1.157022196631682,1.4132621231287956,2.3058993289539647,3.43006924802854],[1.1951246637239403,0.546015669741987,0.5518890919170899,0.34671919565955417,0.5276049313921009,0.5211408709112414,0.4769115639960629,0.4803593640231778,0.43465282097230173,0.35394766878893674,0.37234578680176295,0.504897813682547,0.3942872722524707,0.3449558622480407,0.46423590955915006,0.43238654968957574,0.41007643734553745,0.4151189284220107,0.4387990606766209,0.42971729147843774,0.4591957642012961,0.5027066217481807,0.5977464156806156,0.6754248925746545,0.6687932693901445,0.49150589266905775,0.3639568634791465,0.3444076378554031,0.4037457727333016,0.42719710627817903,0.48760520817224245,0.4857752536092488,0.5685356025897024,0.4755425209433985,0.4568669515520507,0.42235231165428544,0.45013869426669967,0.3974120333877088,0.404664787871852,0.4409451372880217,0.3991160958679534,0.42337187950360655,0.433562201431171,0.7439557285648865,1.1248654227005646,1.6658997337951775,1.8706923523992016,0.9702824909717881,2.445832713463622,2.4414448959109083,1.1343198781046229,2.11256135774776,0.9297996298867962,0.5743193918332847,1.544964763532766,0.9388090910628325,1.2431420372396156,1.490653173664881,0.8828939317625728,0.8931855850061428,0.6705837236263769,0.5843264131226187,0.5588699051897895,0.561927448996577,0.482255777567479,0.4541596258246385,0.6580555433255044,0.49099550680541504,0.6569564008756453,0.5680819861189143,0.8051153548457076,1.1227560848312772,0.7658128752602192,0.782230047868483,0.5554991868676689,1.0743640226675608,0.4598245831055559,0.46750029654442005,0.4542424262753893,0.49151736528752926,0.5058763569787738,0.6078079298315094,1.0256474118346939,0.5558422606480985,0.6648829421042132,0.48688246334305413,0.44274262283371146,0.5049458869425311,0.4142482591276961,0.5305887528337173,0.4871920048967628,0.7477038195682689,0.5681010255334428,0.521113069818599,0.5062102253873454,0.6078022324753175,0.6165082692363302,0.5445295206544217,0.5266097308412435,0.7422752611831152,0.5525153090100348,0.648207429554319,0.5098297092230579,0.6569661720579468,0.7345862777897818,0.7211289306828321,0.8645775208396292,0.760472128458807,0.803386878759617,0.7803922686278744,0.6238784239545389,0.4969790967703437,0.45411290815579,0.3950314975320431,0.42328862822312474,0.34261185658715815,0.33352486209711457,0.47325507176253834,0.4771617828371692,0.43891481520269493,0.4146266442332389,0.38009725317763543,0.3048343798735507,0.2712072288225309,0.3335205446136389,0.4026040636182742,0.5370621967992854,0.49612972081646106,0.6073335501048012,0.7114786914081191,0.5738116088142707,0.6122224613527468,0.6154108810630617,0.7092956502556274,0.6713811155915641,0.7458079720763736,0.9290300061635145,0.7213663642007745,0.6395835413416573,0.5724675023584007,0.5465567287397154,0.578162807695925,0.450412567473351,0.3934134595261966,0.3791956505416285,0.4146012967870668,0.3939663804008125,0.4598007444706983,0.43038633267209614,0.46973149829372485,0.5388476449182148,0.5841371688959389,1.1458414640308088,1.4687394586975588,1.0793635444139267,0.5895392167923369,0.4900232220544518,0.567305692574132,0.45599292614360193,0.561622821058787,0.502316098296803,0.45150988638303496,0.48252053595239075,0.4686148393355787,0.7422722019782878,0.630644994382148,0.8361686935203122,1.188325996260114,1.37655104469185,1.2646112362041064,0.9407943700904333,0.7498265379296072,0.6705720004789653,0.535100324964247,0.4668326095075763,0.5184563879546559,0.4840512850352081,0.7128777786538236,0.4938422744886693,0.6636512479025471,0.7063670725148545,0.6214829071217699,0.6078148675412225,0.5789106416109355,0.604561828172831,0.528324437165077,0.540212508521335,0.7160254115524814,1.4467873842010894,1.0355484811155815,1.2113722324447376,1.2032614031925597,1.102599075174156,1.0877600861595766,0.7906235350494143,0.8454412696196111,0.8294309373592862,0.5936347790390983,0.6335508507965825,0.6736763971630556,0.8813587265119089,1.1027724342504581,0.8525242917797579,0.815980823376328,1.1859113523247942,1.3299579140756228,0.8615373867097298,1.0272594278309577,1.584172266322727,1.370026409998643,1.1619789106850542,1.5152701200120227,1.8446673278117682,1.3474298098313213,1.3718129915227524,1.1983003357333404,1.432062491904854,0.9087728179261438,0.9758026472883736,1.2574592442677797,1.1924257714173607,1.6249386915165889,1.4019331544901987,1.936505661168213,1.385969271463452,1.4106274942818133,1.4199180929013653,1.2308101808451462,1.1718258752245565,1.0029373445864391,1.0512988551816065,0.9667020743294313,0.9979664092559556,0.7832306244528302,0.8926490012264262,1.014326141444958,0.9115558754991608,0.9091440942482455,0.663082844582852,0.8353075301189227,1.0024240392963406,1.2444529651743124,1.532693490862612,1.7081122779085165,1.8096832440082657,1.5483302606937426,1.7420139613122119,1.916881054404415,1.7310259999598552,1.7613356678713754,2.129946526870845,2.274591652354512,2.0148447941393193,2.0695489982916153,2.375488028568426,2.4196209123600916,2.0419003240868396,2.1054548447127814,1.782055120291181,1.771988655334466,1.6626509720673202,1.5209867035338236,1.5015141386735864,1.3163304469316528,1.2370526631420111,1.1196621681685888,1.0526433802154282,0.8778076156198853,0.9170300050818082,0.9827881469384933,0.8052736289353833,0.8248083167181733,0.8293469509902363,1.1010556261036848,0.9464275420699655,0.9370436753583392,1.1532137397482505,1.3118413458699194,1.2328273324535963,1.019037768890122,0.8072672406528654,0.7380845230426621,0.9405461889158271,0.9201474101179518,1.1042634904350488,1.104429690185074,0.7830994442932163,0.6793992940345212,0.6190831554193224,0.8487353912811002,0.5268069229818301,0.6227586270654092,0.6223594587487087,0.6356463486840842,0.6780877465872254,0.6392793358743402,0.6303268153569831,0.5580811428503977,0.5678229890807727,0.7693109812425054,1.0559077816240094,1.4055302160917684,1.9299051421921154,3.152195275255169],[1.2998696237438399,0.5835287866416792,0.6084681934077062,0.3803185953016204,0.5680246875806129,0.5026168613035299,0.4548047256848226,0.4682223471330889,0.41657590586950216,0.3353884701680953,0.37195018724695444,0.4837792745765669,0.3785201545647724,0.35250686554632643,0.48746908629131924,0.440437876692021,0.41678038886125995,0.4592525776692452,0.5017493742903156,0.46817169873820685,0.5217325485273815,0.5286085985848394,0.6841149376202855,0.7695906173606307,0.7042844057564601,0.5754694581534757,0.40669357703354125,0.36880489742604794,0.4107721396895186,0.4378899959719004,0.5194368785525547,0.49037600835443307,0.5970064300039308,0.5068226271931386,0.4706676670459654,0.44057327401231317,0.4537492229944761,0.41708077488481693,0.3841481647458983,0.4272087723220858,0.40874064233351326,0.4776876504536771,0.46956860081976187,0.7502309649650294,1.1623567360024218,1.6947419368225134,1.8872245879915162,0.9809233926850708,2.385700179633003,2.3349709770530978,1.074483965663913,2.1242935661100284,0.9997875554022796,0.5658203724775844,1.502901606649144,1.0076511535212251,1.2785334179583268,1.5032999588066875,0.844045832708022,0.8817013667774729,0.6638703491431666,0.6046770984941374,0.5872180723261169,0.6269592792163597,0.5290974992828418,0.49524143523549835,0.7153433932638548,0.543942298546508,0.7268780923894345,0.6240451128652015,0.8459274214208722,1.2014436922390155,0.8320739910962991,0.8588858040700464,0.6084161959614163,1.1560817443984992,0.49991110892190704,0.5102838570595549,0.4703514920027837,0.5199942715889682,0.5041331740258344,0.6111292487814262,1.0318049015815873,0.5165808282595404,0.6955322358723541,0.49192018187579534,0.44695335481413,0.5073421714542324,0.44556883734713165,0.5553347922141469,0.5209192598548549,0.7985916160058981,0.6294270367092036,0.5820748075499819,0.5507215423450904,0.6613554618366709,0.6622066982998778,0.5624375646593108,0.5265189999861744,0.7634469910295204,0.5399056046764515,0.639746490798786,0.5027793115303798,0.6259004267750259,0.6863669073081865,0.6598937134552747,0.8128325649104399,0.7181208849229643,0.7733466811383835,0.7383448928855523,0.5846061746361442,0.4684745189773845,0.43163651113692497,0.3855481976866797,0.41450813543124565,0.39122528101542386,0.3734420351455409,0.4669830656836722,0.543338762324118,0.4716614673229425,0.4559457849947006,0.40936258470464665,0.35808570210601126,0.31949211179814224,0.3454924344320696,0.3972761118221143,0.5402774641841238,0.4951596731646837,0.577884667372634,0.6666643543551664,0.5765948014146344,0.6143729773755778,0.5994237665404818,0.6720554297970558,0.6386869837318339,0.7133930212668514,0.907730390998988,0.7074320571756884,0.6305688220453306,0.5798632763826375,0.5389405514222223,0.6164925996300177,0.47655787944605893,0.4069601363200008,0.37287598643513,0.3997808039557149,0.368784378277774,0.420744731935935,0.41055712886192747,0.46467219760366485,0.5298943046715887,0.5901525233752808,1.2037389028179746,1.5469013214562104,1.114317412292895,0.6091892527781875,0.48488733991671146,0.542535291508547,0.44167228943401743,0.5423155815010178,0.4557387649508789,0.4162643262982099,0.4477951118007251,0.428711970216106,0.6957475689010565,0.6277310637460746,0.8207109998973334,1.1963148549993488,1.3831817544540033,1.2638416165582167,0.9262282522323045,0.7180105836128595,0.618573659769741,0.4808751184141764,0.43238429352173163,0.4764086791689126,0.47207019071636847,0.7093053561753773,0.4636352845432474,0.613754786848586,0.6629946826377281,0.5530317555360129,0.5493547298157513,0.5277730434711407,0.5639521402397284,0.5216280268962701,0.5462859585005492,0.6917440298386816,1.454047602375583,1.0503881936912973,1.1797565061882465,1.222595767417508,1.1143612771672256,1.082344635941624,0.7938268247134848,0.9087983962141202,0.8490197482105448,0.6191187478787785,0.6787492415364896,0.6895359880593899,0.9043484698301034,1.1015727118094898,0.8511763125211308,0.8549434865497866,1.2258195281330453,1.3459290145945437,0.9280038395621215,1.0985182309856423,1.6490555720566271,1.421935127330448,1.2611844899967533,1.6413643291926754,1.9247472183737928,1.478116122064139,1.54053274295285,1.3292377947648906,1.6206375058663134,1.0172556314544217,1.0849523818571387,1.4072999237762671,1.3350804435253487,1.7473845115935676,1.5699281469635922,2.052908404790328,1.4783243052621708,1.490341702371441,1.476791666387596,1.2754650976176505,1.2415819193245035,1.0611331579436831,1.0814098229490403,1.022081713977145,1.0547658838144378,0.8239659033986294,0.9309556910299686,1.1004448041566353,0.9632018566416263,0.9820908539616245,0.7191622397955966,0.8360924855939932,1.0122200007703017,1.271077069055111,1.548805180316124,1.7466289975747396,1.82875511727693,1.559693603697021,1.7899335616192893,1.9533166779159075,1.742750156700735,1.785778363221508,2.184735931077575,2.31798485021422,2.0545642724872324,2.1602207678373833,2.486453756893724,2.496469721391418,2.1674141952191683,2.265776512668965,1.9157840419747465,1.8890769824178708,1.7337921221701444,1.6091984127994825,1.629426353819313,1.4068357095067257,1.3096508874600077,1.2202252413205616,1.1544053586887508,0.9486613620278977,0.9961630335574468,1.0692803342713366,0.8752943871496146,0.8822674522107546,0.9006695870722358,1.1760027310984988,0.9946675049237571,0.9705338235270042,1.1709899393862626,1.2807763977745754,1.2393000361028157,0.9866115515978504,0.8588277627485896,0.8297844089257383,0.9039098405482852,0.9475851492289267,1.1060832435120755,1.1359272416525052,0.8485624935085577,0.7304057716926841,0.6580257203534962,0.8656136917001652,0.5775680642885179,0.6361661975486954,0.652899999308325,0.6425718797937071,0.6537374833943973,0.6677261261705909,0.6609149024549673,0.5450927768923636,0.6305359576126327,0.804982737059574,1.199496770730797,1.4662716539240535,2.407435851818557,3.5629163481460826],[1.3637107274894111,0.6916608645704841,0.7138663526834872,0.47528148787790325,0.6988046473662185,0.664977541555603,0.639418632163598,0.6153784006028814,0.6059306520810362,0.5630427135470163,0.5863259623979273,0.6843121834554794,0.5927444699182048,0.5731009718869307,0.6764058767657346,0.6389070854542124,0.6087693168368886,0.6193802210082506,0.6053533967895238,0.6202642198514687,0.6617019193173362,0.6912777153355865,0.8008959065749064,0.8870744293116773,0.9162000718009425,0.7457143645670267,0.5630192985748627,0.5440661164223527,0.5768485668719182,0.6060798313459204,0.6688311994893353,0.6650056059918622,0.7217134462744225,0.664650230099803,0.6420284009023813,0.6080691696401848,0.6263783438139543,0.5624100378985265,0.576889750683968,0.6263516249830449,0.5692369240040102,0.5707547112184694,0.5691844214494803,0.9234906698969458,1.0893055305949106,1.7091775304942134,1.8442839229005719,1.0761829723498864,2.6643733687962357,2.7376709191194295,1.4108406908419555,2.3026675755165176,1.0170839011578305,0.6545554940729605,1.4378974307081402,1.060881869511154,1.3466952306109359,1.4453507505289394,0.881638478937559,0.9920012258456012,0.781151377952062,0.7355645318563665,0.7086838990844455,0.7318224254395189,0.6682876390315131,0.650288771924955,0.7962793551381165,0.6140350158482029,0.76020121981787,0.6837557637702055,0.8598754024623629,1.191625283307186,0.8417902209156045,0.8657594503742307,0.7169362082008227,1.192766965228753,0.6215238035332041,0.6284919583600773,0.6209647594925465,0.6510557636999805,0.6716984514067617,0.7431299540566647,1.1303943488433992,0.6905845486447278,0.8382637070714949,0.6718100764853424,0.6308170378970528,0.6809299603212043,0.6028462607070383,0.7021186071621232,0.6355879048190597,0.9112472211587357,0.7179514714210474,0.7273752017922278,0.7140005160323903,0.7964657107950337,0.79598304168015,0.7286473041446891,0.6873177790722935,0.7840706792820262,0.6816372043661452,0.7614145960573921,0.6562051064564869,0.7752193170851707,0.8347332404149984,0.8167905156574069,0.9440256723306145,0.8612105620144551,0.9061084024816749,0.8671839681357605,0.7325686940204102,0.6378433625981653,0.6180109347548703,0.5789539744169486,0.6096709950046308,0.5706038085533376,0.5537056524854915,0.6803711321480088,0.6612375196453724,0.6168648401448181,0.5898611871105708,0.5996089169045199,0.5254682951348301,0.5052496304854572,0.5559724558068591,0.5983834636615935,0.6575782867418811,0.6818154868599915,0.8071811855285895,0.8767149267721754,0.765407431014668,0.7917449458451133,0.804263592368571,0.8408748062936442,0.8433404893169378,0.9202760220592999,1.1134357166795594,0.8911536678842897,0.7791438275484701,0.7290718760393001,0.6584215696310307,0.7393396363323368,0.6298628365440755,0.5756383679741103,0.5629128820995212,0.5725920889151228,0.5709795488054008,0.6246396778298264,0.6061469625293039,0.6247547586040111,0.666722757752936,0.7081502251895367,1.252263134622194,1.441102517602533,1.067315507054603,0.7059715816698116,0.638404290744257,0.6917351303322334,0.6113010179709794,0.7194976482066279,0.6478568471265063,0.6198404788674551,0.6382241851466606,0.6429575276092139,0.9108650749844175,0.8584112407234076,1.0323748094536134,1.4196898888580927,1.6109158745528773,1.4351155344402908,1.1276349157102583,0.9286624365312285,0.8374245138881798,0.6710368073868118,0.6198918003523308,0.6624013500214821,0.6321834541304311,0.8427996420916137,0.6473616338830627,0.7970132152581787,0.7386972880488687,0.769605255114923,0.7622429740217248,0.7264731394000339,0.7670746686747917,0.6708111303136022,0.6978803285479964,0.821402596513206,1.594930527202245,1.2556969553270483,1.2403296932296657,1.3597244538024058,1.2722103466062435,1.2239000555075594,0.9353157509738489,1.0242555438174246,0.9747807906650541,0.7975825950502144,0.8434892991704529,0.8675810508313176,1.0982594198477695,1.2887160499892103,1.043293194243116,1.0434260001520612,1.4182646738841422,1.5391406803283165,1.1185490546635215,1.31165592065324,1.854537394439639,1.6675908911825852,1.5048527818518391,1.897984597389645,2.196141530942227,1.8041509947932386,1.8353135431927494,1.547931641732343,1.8718921476669161,1.194083279203236,1.2830127039459869,1.6241674185231656,1.5274787125532092,1.8708665578388484,1.785585188629199,2.2295183628344515,1.6590028446635476,1.6480009419760422,1.6146845522653062,1.4113014969572335,1.4030767795654158,1.2313594935710475,1.2376308466461612,1.1969177034717011,1.2171932549148934,0.993490141271725,1.048996961741878,1.2358164483178133,1.0685303008799667,1.0401979351290966,0.8614838835325496,1.0249797960577733,1.1803751992237612,1.4240281416780907,1.6708378630060612,1.8514227348839494,1.9015377761644463,1.694921806413519,1.9182409215997165,2.0408478921954956,1.8315031562683923,1.924698203137409,2.2972474513356995,2.416867829908899,2.2136414339972403,2.314959048392656,2.6160484223586815,2.6573025867999536,2.362656866213003,2.433975270906962,2.1080047425635478,2.0601503425591674,1.9004019397835274,1.7757529269931298,1.8158601579318288,1.612842307973668,1.505106188359575,1.4171471318178253,1.357923571253359,1.1443416435870322,1.207127913399652,1.2430707571722888,1.0309502107122683,1.0208237115251428,1.0578155172253756,1.2972388080712598,1.0936833391651963,1.0390816568007737,1.1998515424433545,1.2786936868390746,1.3122276553551238,1.0186482041776341,1.0098946682758336,1.0613656643039733,0.9380383920322324,1.0164415582278985,1.0983299642470423,1.1732846366529237,0.9549878463715905,0.8357796798538693,0.8001790251033615,1.0263202171176657,0.7063357796525532,0.7384928914956622,0.7166649059514526,0.6954449038009751,0.7777854726181279,0.7221280267634482,0.7115677770339034,0.6456270780642637,0.6314888928514422,0.9394702144165521,1.0895511919438297,1.3594983417734128,1.9765677917360798,3.2474607601573657],[1.4465350452639398,0.7957957712936894,0.7712411063593245,0.5276979891280822,0.6001412991591496,0.6137427465009883,0.5839627137346283,0.6009690112179449,0.5760709527912706,0.5336333480719441,0.5625480378535811,0.6827922327993778,0.5851742473099818,0.5374604838337359,0.5946352279207209,0.579029661428775,0.6150207907370527,0.5800996304904508,0.596558054246086,0.587973920865387,0.604273084969902,0.6478572738487469,0.7088992083640493,0.735707800293262,0.7829898973615298,0.6120580046374677,0.5654219298290483,0.5601524111216168,0.5827679417187412,0.584783617808792,0.6369722124548519,0.6269698879429985,0.675535725430332,0.6191059576460365,0.6031813601976543,0.6038624566502082,0.6087660474959002,0.5907384790726677,0.6346283965299337,0.6477585919417577,0.6369493833002924,0.6133351075820503,0.6314651831389657,0.9067639789668879,1.1651206626029547,1.6831346424484157,1.9461370051937978,1.0973732250169543,2.6453740077574586,2.805501718664268,1.4407282930514156,2.131391851870613,0.9330989703644893,0.7587639215391687,1.6444650585422818,0.9353255282115528,1.2559848949955699,1.5201743427261472,1.03288011009376,1.0328047709520232,0.8372120600195514,0.7401281991825367,0.6800613181589372,0.6728643834975563,0.6502198523678216,0.5947025366017868,0.7676442779905541,0.6259057106348916,0.7505449614597802,0.6953398946615569,0.881904983976913,1.1749595428934891,0.8502736453510347,0.8548998183022565,0.6877840250630629,1.1236919167609556,0.5942180234689034,0.6053090962626136,0.5915338816194531,0.6580620443715692,0.6642400582855976,0.7596988354938596,1.09130457682904,0.7032011529526281,0.7322624684484504,0.631727579200555,0.6211546334325938,0.6404310282786181,0.5894859656919226,0.6671642605266626,0.6212800127745272,0.8400037248581464,0.6998943708796387,0.6479096206304157,0.6429313732049515,0.7375867648976346,0.7561955436800832,0.6739063703056399,0.6666318250818964,0.8155725620094271,0.673422907785191,0.7656731359406777,0.6402412575001909,0.7362665759235679,0.7825449727410386,0.8015567804093343,0.942929021277042,0.8460009857366938,0.9014590622214101,0.8334570242751042,0.6801770810992913,0.6072066551936457,0.5783429694952037,0.5744950486095391,0.5958648749133828,0.5126123594294911,0.5527945166449308,0.6584373068104158,0.6459561109632979,0.6281353139174537,0.6274578845712921,0.6046309089976033,0.5260200387523637,0.5109200697073666,0.5414310468036168,0.5752170033383529,0.5763942567590618,0.6623612593942647,0.7804693034160055,0.8238790953704649,0.7510292721288364,0.7497713786349313,0.8027383600706023,0.8024278346880866,0.8482427395754251,0.9195956811718206,1.1334483952571481,0.9334993241247166,0.8523720026630239,0.7646527377910337,0.7236294482983431,0.7276353966574967,0.5885049635062695,0.5987024589312449,0.616508246396187,0.6338186233848051,0.6198772294709831,0.6186124939588798,0.5757773875092225,0.5889007936748184,0.6424066787280285,0.6375986252295577,1.1079450212485145,1.2664549408366992,0.9539804012935948,0.6879842223657522,0.6167965828532798,0.6552285896486779,0.5901320451779251,0.6634361756934469,0.6575077176016909,0.6224354002885794,0.6953042660602512,0.665547310237111,0.9529298638959781,0.9365902949373718,1.0899656519279386,1.4882981371420183,1.6699320706955159,1.4945017780730108,1.1937829772569013,0.9899534235035667,0.8666196365664715,0.6901330224331438,0.6185313679152392,0.6513988900743952,0.6257869998012316,0.8066172153470251,0.6546592851423528,0.7841711840398692,0.8356031896913977,0.7483329219480171,0.7620912366262522,0.7449779646550571,0.7761283228056324,0.7218919135630679,0.7191649670964559,0.9342368854732641,1.5385595053058103,1.171761488962984,1.3688257155270742,1.1817863512987226,1.2258463061309726,1.2211328078209898,0.9273885838048606,0.9115235963156869,0.9905972896872577,0.7853552563209297,0.8086109628467486,0.7920867650019109,1.0180950982075696,1.1744909013264844,0.9275000999439291,0.9480385122295527,1.2846950562480925,1.3752779590826032,0.9770987867098825,1.1589497149644081,1.6827702600924643,1.4726413612158094,1.3029634996137234,1.6910358921892081,2.0050671993519296,1.558906824886355,1.5556655920802178,1.295637725276337,1.6016848449396204,1.0777370168032956,1.134842781630587,1.4240739889276954,1.3702809762428465,1.716441688041048,1.603111577988076,2.0740014614996882,1.538637670417823,1.5325022340287389,1.4993538470987355,1.3120738809812755,1.34469707832016,1.137781952090654,1.1444722921199366,1.1503413459611829,1.1748371177249453,0.9344787958109568,0.995634164500395,1.2138305975319679,1.0510307227108617,0.976910688362223,0.8396651813890308,0.9922886905317947,1.119982832855988,1.3222564290799492,1.569392021247069,1.7560817037266407,1.7967866157555477,1.6014816901136926,1.7832813761721031,1.9047533099652525,1.696322899929142,1.7758185612976274,2.1233664804902666,2.237724773460323,2.040651542092279,2.1310918914838775,2.4198351961587288,2.4707514566382303,2.1715377572105403,2.2265522599610668,1.9150789991782264,1.8773872259694497,1.7461597090930991,1.6297836766713119,1.646782441508019,1.458761726798116,1.378457242234906,1.289377146799146,1.2220995251128526,1.0612867612248367,1.1289460558066662,1.1882973044307232,0.9840960511063557,0.9939342702836411,1.0708309965810794,1.316554950638825,1.134240990093809,1.1236362488086848,1.3265606877533715,1.4294302487069643,1.4367319297113483,1.155665059987392,0.9459358058266418,0.9158450732152807,1.1135269332954,1.1344328458813258,1.2590493236185503,1.2374308469620268,0.9340366126934398,0.7913900084542211,0.7491851580441402,0.9516862397204633,0.726478372366496,0.7087500924456069,0.7291449450034361,0.6842432014265379,0.7171185076743545,0.6823764394088853,0.6805019390183935,0.5893097725434574,0.7280662300664562,0.9401821542884157,1.0786857413432382,1.270887313357446,1.7409584978057004,3.135855828883844],[1.3655815183691917,0.8570037323749957,0.9236312507577236,0.6483561262365756,0.8297022033609427,0.7610538933526282,0.7189874611818522,0.6951332777720963,0.6486795367909758,0.5898261655215092,0.5779388166700722,0.7059803799444776,0.6448698675724746,0.5750271180632003,0.6340976176571463,0.6514315804648099,0.6514181783068512,0.6230770999108972,0.6154880028186867,0.6698809204489501,0.6904680360197936,0.748038288502164,0.8266058783009481,0.9050775486402457,0.9423971434120502,0.7434597520024477,0.6499576055202367,0.6136670707558369,0.6451418636961552,0.6421154344135166,0.6459898325503395,0.6714713498925257,0.680438062420754,0.640145330768746,0.6537719625489526,0.6395139775859752,0.6864134499668381,0.6567987053975539,0.7030770847879881,0.7534004335052367,0.6969796318334947,0.6666601187243493,0.6723481711319034,0.9648149997924271,1.159368354501268,1.6969616316116574,1.9406698051378466,1.1333494297023792,2.753178861921154,2.9795174420870256,1.6137188350020453,2.2452018100711664,0.9885930895216698,0.8136012943345474,1.5658028034298925,1.0134129379512895,1.250467329001308,1.5340016197421247,1.0242250491058729,1.0958149741687253,0.8716316702482457,0.7609528883202946,0.7168023090855901,0.7214579880580689,0.7224205006345477,0.6746522506868584,0.8213795980375551,0.664430388818592,0.7908698201996529,0.6973271796236574,0.8772023456198905,1.1517130589033893,0.8234208775271892,0.8641261645315881,0.6970653679246367,1.1383089027674211,0.6367422219559032,0.6207295599434234,0.6445772100124205,0.7016535447188668,0.7312721687750016,0.8441031881595762,1.1882040603058215,0.8389158806267942,0.8988629635912521,0.7487814532577066,0.71152158218875,0.7244771718511983,0.649236319092734,0.6877993983475932,0.6426777292679948,0.8532972164676443,0.6853672078830048,0.6587995895088522,0.6596123518166813,0.7232878607267234,0.7413595840318028,0.6862368927794769,0.6728941556624096,0.7628640723831636,0.6960399034693654,0.8224001037114568,0.7412967358185006,0.8755488432190461,0.9381544074963054,0.9632530267929452,1.0758053536836385,1.0307974005169942,1.0680399043515572,0.9989229843015567,0.8569917179665242,0.7703977702362385,0.720620860415588,0.706152695349707,0.6778926667861593,0.6349185258179182,0.6175003795635652,0.7587127443530951,0.6978082663276332,0.6287266228095443,0.6091196098343257,0.6189876087261322,0.584837898805812,0.5884045177405334,0.6440377361750259,0.7111974699869849,0.7374389135668987,0.8243837477083787,0.9707069565509859,1.0113900412223753,0.9512818123186466,0.9865939045560085,0.9930604189385113,0.9887772256376159,0.9957803257366042,1.0610853387599808,1.2522808799752554,1.030161513511845,0.9169347041696736,0.8513720418537057,0.7726771641400797,0.8268481930908956,0.6936088615870146,0.6898773377403025,0.6971162268434689,0.6933089731988514,0.6964190319966357,0.7054824983810337,0.7069104570304804,0.7010520691564062,0.7583456922601236,0.7327668413422349,1.2251384179942617,1.2688346723543182,0.9500137225808879,0.7156151826785935,0.6662182561793112,0.7489137012079915,0.6866672113587946,0.8273592733544143,0.7854917054620427,0.7421975730909628,0.7883831705129773,0.7933259146350663,1.0289839693121894,1.0691865795607787,1.2384651004327671,1.6654290435188819,1.8241848220840766,1.610298346139043,1.3074717295835112,1.0857195273911302,0.9917810746417968,0.8470947948615073,0.7612617098823545,0.7826137933885681,0.7191176330269768,0.9112471658480151,0.7749645213957135,0.9366645785002731,0.9381213623941469,0.9300553462352258,0.9485374349743627,0.9145353083414057,0.9467758659852133,0.8466273088464429,0.829485206441053,0.9817873678037058,1.6519047437201313,1.372931178805695,1.3116241005950293,1.407955316070285,1.404568624680739,1.3459392509148016,1.0591836892110857,1.1268018157144493,1.0966237583544423,1.0203839591010249,1.0653825487964086,1.0725577626826919,1.26886162656212,1.3874523790629567,1.193385850589387,1.2202936793737416,1.5148849254851942,1.615410250457588,1.2967670785735284,1.4658757002635978,1.911147784966382,1.7862918955686296,1.681139137140515,2.043434788723215,2.3016399713922384,2.098453730438811,2.0939773466105236,1.7744629413881967,2.051824741815567,1.370948173684406,1.4443553349040972,1.7488384087320759,1.6495807586727782,1.9470961828975746,1.8806287131853903,2.224628323093264,1.7386520043132194,1.6990595153586874,1.6424398082480138,1.4792104757623115,1.516649881744473,1.3616212374379755,1.3580024416497454,1.3822994460946314,1.3987571345725724,1.199009115769224,1.2549937392220305,1.48116736209886,1.2721233748589218,1.2504242162608414,1.088195337657422,1.178823979826715,1.3139076896683453,1.4913100417522014,1.6875002717819134,1.8260910849025107,1.8607040634447185,1.721868306537314,1.9003469229189283,1.9485723657924947,1.7747753197131995,1.8908121104184417,2.198792555771024,2.2868943452720973,2.1675921017381405,2.2699670024817484,2.5127211767791855,2.566402441650225,2.364703336397788,2.4030287880420294,2.142510010075432,2.0739376729864474,1.92634428353017,1.818402676135482,1.8635307970318844,1.7161651078218132,1.610269844893798,1.5494376820193674,1.5147244887825868,1.333717039183911,1.3967580822637748,1.442914461297207,1.246570494039064,1.2342587323110987,1.2769542103488647,1.4827444000304306,1.299314084813101,1.256153706387098,1.3835255914240374,1.4294044089238,1.429757766046902,1.1888494749103675,1.2139638535538655,1.3093232088676239,1.19644362910619,1.265707730927736,1.2899856332717192,1.3560844310347584,1.1639397482279705,1.0480323540227705,1.004711101866549,1.1178414550051983,0.914897260666052,0.8838784756773168,0.8883259613422734,0.8199762092706591,0.8719769507425524,0.8151025993288844,0.8285067299190132,0.705672096147051,0.7486733415148161,1.0523517225995862,1.008015110070526,1.3155811170572296,1.5989467501361034,2.998782414101949],[1.4984753906345951,1.214605583502012,1.1961834947648573,0.8406610461204638,1.0446455709179572,0.9424511280634653,0.8892462242683674,0.8989282878011106,0.7784602236939209,0.7034049979646675,0.6842048176797181,0.8491807791784562,0.7873866749865077,0.6552872927017077,0.7038152413892638,0.7613815142331946,0.7700727882347794,0.726531824843329,0.7062197547796648,0.7984008156213016,0.798976398393397,0.9024296564189613,0.9318621506414845,1.0105409114859938,1.0733812327010948,0.856532954993799,0.8111394747806565,0.7803947867738744,0.8113499835734944,0.8181763328742852,0.7693808876899686,0.8455465250530408,0.8442441505632249,0.7891742568532719,0.8249056123788817,0.811531944987932,0.8983336581801583,0.8532367317909837,0.9260070333159587,1.006323196434327,0.9267325227378979,0.8410759986828733,0.879838871461979,1.157143006508204,1.1940842456773166,1.717228617279875,1.9263793551105786,1.2902799723819331,2.914399498053998,3.230637853481372,1.8576903763130663,2.358540411030622,1.0976738819477465,1.0222062864576282,1.7044393363197232,1.155349733752584,1.4299390626123554,1.5712360635019302,1.1755096653006771,1.243450917639852,1.024102082499135,0.9288048264593226,0.870244890563855,0.8444525489956182,0.8652860267116355,0.8070762203360989,0.8566367837754393,0.7264377898851337,0.7969287525733211,0.73036793112905,0.8616729127010121,1.1359792084085356,0.8366203379166953,0.8634230851780701,0.7692555323608526,1.1860327917979643,0.7531323329018356,0.7653563949661872,0.8173305934330538,0.8953392588582952,0.9723076680135497,1.0439582207466085,1.3497773861940092,1.129079783246625,1.1152135483965768,0.9867120529368336,0.9221901384433311,0.9405514305017599,0.8165602148805875,0.848452991754043,0.7712267215739139,0.932848123039526,0.7817783794998393,0.7558247109951787,0.7583843233280834,0.7980043758319897,0.8092911505363553,0.8223892411590773,0.8379072233032321,0.9619651172024655,0.8942734547766696,1.060762355051329,0.9952156656104356,1.1579657320827734,1.2310699191390297,1.262013764908972,1.4118170484375716,1.3481570283229538,1.3777426068803464,1.3142956986941354,1.1453225013410586,1.0242979656710014,0.9274146134739609,0.9066192981105899,0.8314207611325186,0.7786098997008447,0.7512003224681338,0.8995154258248058,0.7828843308783037,0.7277657734763768,0.6799551050799546,0.7050309042944446,0.6852562484555016,0.7136135880125353,0.7850728968206653,0.9172138539626006,0.9497134026711609,1.0867424816263689,1.2811519755332477,1.3260780258162586,1.2783809362807572,1.3253333420432603,1.3264554492201395,1.313729147412157,1.3020100077627708,1.3164207305559827,1.516724476952874,1.2624403965095827,1.1182359051859732,1.030466278896665,0.9660283604575256,1.0102985209355384,0.8591008928534112,0.8807174798856189,0.9069368704668852,0.8872305078855964,0.9020293362128715,0.8931606218475918,0.9264309291372573,0.8926821230128785,0.9869850970550398,0.9450379082351825,1.3656382824431976,1.336310285592901,1.0431600554164957,0.9625105004787184,0.8900484404946354,0.9963207210738991,0.908954685451593,1.084642586867889,1.0440232995224121,0.9778167023725078,1.0260175335256312,1.0532725054086536,1.294834883612995,1.3447019760285055,1.497384392113974,1.8989947244690213,2.064212014083386,1.8109468892710912,1.5596386036160819,1.3310501895608986,1.266933278381865,1.128344356388895,1.0429699165834718,1.071738656686253,0.9684463125376941,1.1637447411941815,1.064594148580592,1.235084675926877,1.199468523635497,1.2338975918843997,1.2643617725758354,1.2374550853318407,1.2484162109600316,1.1308421664883959,1.0708694753205037,1.2347726068120497,1.8047333773385053,1.5837945823981072,1.5118760331832903,1.5751852532458952,1.6328621629251938,1.5939266987494072,1.3544101586003916,1.3988838794444762,1.417101181353292,1.3887005966074748,1.4198271047868982,1.4178138125600421,1.6548639356338621,1.740553737650797,1.5290115217516127,1.5750531400075807,1.8635524938358499,1.9051094951204919,1.602319998198943,1.8023373714853048,2.2141217964157014,2.0334449412419726,1.9632303720708206,2.3478748111397847,2.5230415564183373,2.3363440628923224,2.3700920491206006,2.02582114619734,2.371476234198264,1.6946794487167487,1.792618457826677,2.094635653705214,2.014013436802529,2.2717967346399646,2.264878472776418,2.566861077335812,2.117609108351754,2.083864221402618,2.0186104836536343,1.885130993398799,1.8994063070834486,1.7610809866064085,1.752475785204489,1.7905434144881824,1.7892681169143612,1.593407946641773,1.612985190412918,1.7894655322552049,1.583086448414602,1.527509456668481,1.448517199293151,1.5591485892912353,1.709269774517398,1.8681419843816354,2.0364755088364728,2.1682709003535803,2.17016908662701,2.0557883027381108,2.2298981662398205,2.2437030555621855,2.04090911749334,2.179865650050626,2.4598572880044114,2.5021672331802,2.408147518131058,2.546991979005072,2.752079564831902,2.75790151631448,2.6350355980079794,2.684182701306569,2.4643398940383983,2.404613224261184,2.265235126720552,2.185279971651136,2.217799590596341,2.076195593659484,1.996094269788065,1.9382520854925287,1.8980622693163514,1.7252305753267752,1.8001187407163108,1.7786375263395173,1.5942529493781425,1.5797127824065116,1.6283167004169428,1.7775839979931198,1.591318415472698,1.5486461732187415,1.6224050692698817,1.6613091863118492,1.6528849762870481,1.4647283742759654,1.52978780463537,1.5777662103054222,1.5256769986706915,1.5530054309150494,1.5344018206303245,1.5735738183562642,1.4625356656151822,1.3311565135125185,1.3191190617921456,1.3886468976031072,1.2027725613908276,1.1865749352448747,1.1907570553709033,1.1088865530105907,1.1448975863373008,1.101524823728027,1.099763364926883,0.9483214536940856,0.9668274837826367,1.3111221102961463,1.2651215627397445,1.4314497697685238,1.8049226476962688,3.19223972505108],[1.1511993122651036,1.0740018105149172,1.2323469460885454,0.9359418912215637,1.1283348783485496,0.9697513347786619,0.9410973858355689,0.9268860520517187,0.8222965240037006,0.7791371995417457,0.7311278698809969,0.850509100703514,0.8535477822434789,0.738315599657779,0.7855537783302051,0.8371867311593508,0.8661853981806726,0.828321252741641,0.8331509857680047,0.9147443224720222,0.9236800808266502,1.0277415940735173,1.0599401215581106,1.138164446025464,1.1840371565636418,0.9785185727152536,0.9338436050252338,0.8932976736652973,0.9080882345373612,0.8941992993708113,0.8318025936028943,0.8979462307163274,0.8678183396489015,0.8565815495490782,0.892632061347887,0.8885917190145147,0.9643748420224879,0.9499505805783556,1.0309073952406662,1.0973310505968685,1.035940127533327,0.9666295040293706,0.9869865786363128,1.2498219289370547,1.283127743134655,1.7653643636308018,2.0046195097695696,1.3874473553393716,2.9861938990753676,3.3492334412800835,1.9930609601846692,2.3987811378869255,1.1781585848428788,1.099436056861911,1.712013110381791,1.1867546480082727,1.4194432129931993,1.6354464526211818,1.2681057234736721,1.3501978432923414,1.1444319101870004,1.0426701689005178,0.9856351207807382,0.9477902955537792,0.9947992924076478,0.9191868633478698,0.9672196509988524,0.8283760822337193,0.870440631008691,0.8120791208728302,0.9106436479337303,1.152316647374489,0.8778719221708513,0.9411844264415292,0.8466674150568235,1.227183878286724,0.8499710698632618,0.842439239313854,0.9055527771685031,0.9853942590045723,1.0315664829411582,1.1191742964243963,1.4235211396393543,1.1869808667944521,1.1988238229310257,1.063783972836446,1.006850328349921,1.0132432915116778,0.9049657046512386,0.8992415428609035,0.8431062980129314,0.977313040429946,0.8298012418639321,0.8057701271049941,0.8086558091891497,0.8186750555951791,0.8443356718938547,0.8479147420779153,0.8514942473734444,0.8913560491641406,0.913361753215546,1.079341790972178,1.0389361902988563,1.1696741211643211,1.2455811000700292,1.2704448764188572,1.38026357311103,1.366341434018503,1.3825472101550313,1.3113800551470858,1.1675285720123867,1.0796979033591345,0.9974094961155493,0.9932129257989128,0.9224924069607762,0.8865484618483274,0.8620662941620832,1.0084336517017147,0.8943029871429015,0.8323041203313227,0.788575496259636,0.8060296647118212,0.7910390040211619,0.822228098958964,0.8718845600437403,1.005228051117205,1.002176701751764,1.149537394410408,1.3170467044980703,1.3475986495545156,1.3202991542784457,1.358660024506383,1.362650934535525,1.3411887469128028,1.3427209084130274,1.371629304066307,1.55861017553943,1.3368254922671685,1.2146797498627462,1.1334456539281599,1.0716462008618013,1.1331823713229912,0.9792159467879414,0.9967753410628296,1.0177303131781936,0.9946992887014878,1.0006556178827861,0.9760128535709488,1.0043468508317392,0.9669432377542188,1.0316256527766128,0.9529016564912614,1.3364058294072378,1.253326311060732,1.000568169331474,0.9334892487386438,0.9092894546289764,1.022519474977185,0.9678991199369831,1.1392667214637804,1.1200728275348675,1.0644339401998733,1.1195962575714087,1.142336034204535,1.354746542632331,1.456837806368542,1.5706728366078346,1.979176964273892,2.1217691254303386,1.869668644225396,1.6165085933883139,1.400991112142925,1.3312115031703107,1.2002962053476534,1.1164224174991622,1.1241778321218325,1.0326095503854182,1.1954225714028275,1.1320378353252913,1.2562838493185142,1.2562560485378036,1.2819075509529352,1.3113451814254449,1.2888946051987475,1.315121402253555,1.2173756801094173,1.1663083496622988,1.3268391248186406,1.8715417566799826,1.6687359835948752,1.5504555537467402,1.6338310530753497,1.6623820928876307,1.6179619655491362,1.3923810502514877,1.4547270360193996,1.4412808250750482,1.4042408992478732,1.437513378541331,1.431746347497374,1.5897935534298329,1.646825181903599,1.5059380305814762,1.5447196397623282,1.7486569911754146,1.8187642991559905,1.6184730708492419,1.7316096869866286,2.0334858315269035,1.9720742880030142,1.9276314219168151,2.1879547743914105,2.360586838927141,2.380401532724791,2.3367363299510298,2.0546217597819147,2.1906507895626923,1.6057623490146027,1.6918026251808638,1.9025402057983,1.8037910287227885,2.0641847144273053,1.9688197226809803,2.262619213653858,1.9031593125339634,1.8534325904851938,1.8065033505336,1.6965595140305307,1.7437278465528505,1.6334449683207384,1.6299755544689158,1.68907654760559,1.707584853226995,1.5311495182679262,1.5937427006122666,1.7990575584016433,1.5919236188538195,1.5913344097707156,1.4477731522553094,1.506033694612855,1.6104462241988244,1.7139058674748209,1.8609273578261218,1.925025336424488,1.9612107216833314,1.8993486779047417,1.9857141752706298,1.9760042514888962,1.8553486885701704,1.9661811286964983,2.167290161712092,2.214896460162168,2.172541559782186,2.24900372702,2.405054178112453,2.4469715645359673,2.338121427543275,2.341312507694177,2.179168493650795,2.1223634331069774,2.027441690101503,1.9418256261435671,1.9595970964423606,1.897525798860874,1.8228355534183853,1.7531634707842079,1.7413834837433542,1.6282030781471,1.6629582696455099,1.6720688316136354,1.537509991220598,1.5415594904665806,1.5415354443387264,1.6817513966868138,1.5495330853242355,1.5374496834538531,1.560862922518756,1.6177802839501954,1.5687847646005593,1.4659867716483905,1.5474089658792156,1.666372375240677,1.598670929365256,1.6364093040757832,1.5825612312271142,1.6475294257156246,1.5074353793937303,1.3970256791372946,1.3663452995771541,1.4078649070055198,1.2551015463214235,1.2014110082815745,1.2110502720336427,1.1084574980660284,1.1369921564402652,1.1071025958969931,1.1286003955651343,0.9493484663183501,0.9692797763395402,1.219814928603215,1.1048949235540033,1.4864920291562398,1.560737790490834,2.9580680778577095],[1.1614122338166748,1.072318899233836,1.0750715139597904,0.8615698088868993,1.0289414467981144,0.9579344606096212,0.9315882274113818,0.918017987854282,0.8593030914227759,0.8150352780020456,0.7944296950223076,0.9025201708885644,0.8831775318510282,0.7847914047235125,0.8374597617714288,0.8772369482224782,0.8803206933391305,0.8515747580633982,0.8329304757611299,0.9045707728456273,0.908084000075219,1.000833423146718,1.0240532253208494,1.088367846634605,1.128534722713802,0.9370471031019205,0.9024074132509938,0.88468450237029,0.9141118765348851,0.9040128528191003,0.8883701163541011,0.9258611836450665,0.9131748736870551,0.8951464397776298,0.9142510550816415,0.9085979684407104,0.962099040781259,0.9328283544693012,0.9955569700147434,1.0369018526074283,0.9816372501527079,0.9344743863707781,0.9586076242815763,1.2200947563124682,1.2583813620365059,1.7459055615471313,1.9639817445467556,1.3481794014541537,2.928116746513639,3.2275032692623022,1.8678307657477506,2.3528726896047805,1.1299275451025343,1.051502620324457,1.7113399215596459,1.174466926382852,1.4527599104944373,1.5883342160780662,1.2221058849719721,1.3052478626184953,1.108805954628328,1.0416762404656146,0.9987979370101119,0.957931018223538,0.976809359532838,0.9104105647699463,0.9601426317594749,0.8508926381114433,0.8918563844816415,0.8590035015799081,0.9486681512716191,1.1783190582085932,0.9330477753533905,0.964310455026062,0.9079307021401589,1.2620196101520977,0.8805352378500625,0.8823229900098325,0.9222010855655378,0.9796467399467244,1.0204028872521318,1.0813624478380566,1.3670230683706257,1.1193344776477465,1.130349224959168,1.0230096374827895,0.982582024078479,1.0013383268144185,0.9138554436332856,0.9391700211348083,0.8900805705183381,1.0301755488816957,0.9008792013639816,0.874080526103811,0.8769632720361087,0.9024743119651152,0.9250319368338207,0.8995820464447521,0.8885478240958082,0.8949302982981713,0.9096910363230606,1.032272951800715,0.9986609123021187,1.097724697697771,1.1564508969480536,1.1759399938528683,1.266007670967962,1.2098415716894289,1.2387063559604399,1.1979277167977618,1.0666927222340095,1.0055273765900195,0.956422152317529,0.9556182692269354,0.9151878391450271,0.8561962642923602,0.8533412858297642,0.9669503951745495,0.8615894873290234,0.8504217937125776,0.7896284739760653,0.8228964084743714,0.7765762432597816,0.8074965437014697,0.8678122064312874,0.9569419401242051,0.9449149986416061,1.0678160356165696,1.2099726367799855,1.2434714583959985,1.1695818309129926,1.1846416213881392,1.2160428588751366,1.2171267356982032,1.2329476153919288,1.2852088941263946,1.4793411252666278,1.263148673760433,1.1470859798653823,1.055190390959323,1.0102271312680609,1.0464276467675766,0.9251329168567946,0.9409883664375599,0.9669847420530051,0.9605420539561945,0.9706292209875018,0.9510786709065094,0.9604793577452654,0.9446466694282282,0.9822134763373284,0.9437405172977166,1.3145126750155252,1.227018374194542,0.992881332807708,0.9176626087893773,0.9058173655905156,0.9827244240654114,0.9504980795068227,1.0740718912327074,1.0547314252576656,1.0196996367155062,1.0602287692106718,1.0795472749899435,1.2840670595538801,1.334681730802727,1.465019238750335,1.8543767056147555,2.0099650280521684,1.7955427119056624,1.5324479814045282,1.323276587856905,1.248450577535696,1.117414610048854,1.0418957435106508,1.0553140250714295,0.9921323212311285,1.1446816989750717,1.0633595592029066,1.1848843886806222,1.1802385832201483,1.182560804030812,1.1857384806296634,1.1529175107780754,1.1917081477990954,1.1046258607437804,1.0701020761626052,1.2244676326604835,1.792783827298143,1.536560674404643,1.4583573997148007,1.5329212475836165,1.5706758939843846,1.5223144975733716,1.2423213557480848,1.2564596720068228,1.2973562127277924,1.2020078374851146,1.2150683634817598,1.238426116747778,1.3797645049886422,1.4836842420907799,1.336198995178962,1.323660004776386,1.551569008148504,1.6734833217862808,1.3904502325214396,1.4794906688612108,1.8580845038848242,1.8168766993371253,1.6717645527372096,1.9276219518912048,2.219219900392777,2.1034807240281013,1.928448605332212,1.6812609069126006,1.7829094306327764,1.2194560246292492,1.3487245957555198,1.5713089489015764,1.485536398664014,1.721549613757756,1.6603351286081838,2.0736641687876087,1.664703416935726,1.6422032164834555,1.6389969585516937,1.4831375081513447,1.4949192726284364,1.388727630333835,1.400891034130999,1.4155203582922151,1.4369534143228004,1.279528478339304,1.3297027921821465,1.4931697006256146,1.31781844946604,1.3230615226824074,1.1913686268717012,1.3220641276636165,1.4210526568717214,1.5361853839616675,1.7233595561706612,1.7975552013387122,1.861077646089917,1.769308454343551,1.8470991789012678,1.8733589219300084,1.7607274170519989,1.8570148863510259,2.06581055229532,2.143111067575867,2.0772182331259827,2.101599778174007,2.271612447157274,2.351114724337564,2.1521517320223826,2.1341093627234686,1.9503411545506544,1.914006697303682,1.8464841282089817,1.7228562315814242,1.7132331657375643,1.6521949958494633,1.5791995307697013,1.4648754044053995,1.4331886496010218,1.3385184644373807,1.353343134844149,1.342483562023309,1.2212100593749897,1.2502350924898784,1.2336557779341673,1.4338730384048757,1.254030424836933,1.2271398322422784,1.278593614398452,1.3661176795523866,1.336822141236956,1.1612072958225863,1.224404664957831,1.376382909055809,1.26668162612684,1.3185290656979163,1.296254500416108,1.3848785051730974,1.2348191225981966,1.1982358393904384,1.173943099388477,1.3181354802835814,1.088523646324179,1.0317388998661146,1.0074324737332458,0.9894013804395196,1.0423613953375246,0.9555380646961424,1.0128731800172857,0.909044479842715,0.9378570454268875,1.1886950126810563,1.080919358016539,1.5023467532223218,1.5171732177439394,2.909237969799175],[0.9926498406154112,0.6473324095496451,0.8732934771889526,0.6967924366610515,0.8711581753035744,0.7631769473690936,0.7269911880697256,0.6909192921688435,0.6595198080437551,0.6184091140280678,0.5925356371060657,0.7003282864942216,0.6689398743873941,0.6014554785493439,0.6532803145828548,0.673175920560275,0.6794596659860687,0.6554259603021566,0.6612031421674867,0.7096595391126822,0.7281041492611923,0.8088185638234807,0.8614190191630328,0.9359728550224427,0.9683718152413144,0.7713162477990169,0.7013413392429347,0.6695695015603453,0.6977557801249157,0.6750717165847004,0.6678855961809498,0.6921993819096653,0.6888623143486665,0.6592213563083102,0.6846911439947319,0.6754977253457312,0.7134094017508041,0.7091356568816539,0.7625265827199496,0.8081370304300001,0.7636604131749817,0.7266719372639964,0.7329167980837553,1.0279129874079513,1.1792871082216811,1.7215904636262729,1.9699508218729613,1.1937669722736997,2.8259370650428166,3.0862403664024645,1.7141117790402773,2.282103631004779,1.010336108630492,0.8599998465511954,1.5562473001466812,1.024027966393516,1.2388046913494362,1.5618345513009573,1.0761203867163471,1.1796154974344695,0.9378366362836127,0.8174904340985844,0.7785603861895654,0.7756864275939339,0.7866847062487161,0.7202924504540453,0.831542791658244,0.6859684576350902,0.7861736253912485,0.7223421081462227,0.8585581278377103,1.1130316689954327,0.8170566873604634,0.8690596291246108,0.716943430694307,1.1328120683135534,0.6759892624900093,0.6524168844311015,0.6892204760915827,0.7561179905610687,0.7710025542282282,0.8693937675266217,1.205964823388513,0.8751420824525733,0.9388077684408281,0.7793995253696866,0.7528553360032805,0.7500907845717083,0.6882832777752219,0.7183324604895157,0.6750969184421125,0.861229969156834,0.6992737640329587,0.6534211064502895,0.6552635318440384,0.6945086685831215,0.7254013073059717,0.6791053325128908,0.6636237955587198,0.7106898352058808,0.6913352948619308,0.8050785752733872,0.7544728778654871,0.8600291283106494,0.9511683501797055,0.9532029966708156,1.0358175940319136,1.0051679859673828,1.0241366361370794,0.9718627055039321,0.8459400212010915,0.7823571504899182,0.741207569589272,0.7489140772343054,0.7189062404229137,0.6881878977954157,0.6725488904857428,0.8071972726656964,0.7320165804808398,0.6639945176396087,0.6364312369645772,0.6518642941732177,0.6149495160494493,0.6285275287081651,0.6841785329258556,0.7602648719555035,0.7513510256981079,0.8475652276450487,0.9747948769185122,1.0144118945764815,0.9386344518892457,0.9688881419817581,0.9854391257763772,0.986631637811064,0.9996222556901527,1.0775362820477303,1.2601026513932698,1.0525943628157703,0.9553630664412435,0.8962042358882812,0.83216195564857,0.8795309645323908,0.7525130756362042,0.7469050898378672,0.760155236034397,0.7478296758509829,0.75126669712203,0.7512760000301372,0.7367355098714584,0.7263938113071824,0.7572068926017261,0.7246033761630998,1.1816304795385666,1.20944517368065,0.9346655209973272,0.6844382720772215,0.660291667285517,0.7433336104987207,0.7083699590044366,0.8295587356557681,0.8219598064100836,0.7872105641990272,0.8392211542902585,0.8500645179332198,1.0706896168991535,1.122330862310359,1.2677059964678545,1.681893245472019,1.8335231927386415,1.6223649797557025,1.3280490552160855,1.1141676325972534,1.0236560066158213,0.8871568974522039,0.7957685847220274,0.8117780391720889,0.745658950697713,0.9068674244227855,0.8128010500173091,0.9506376549971185,0.9638025706838795,0.949991946838709,0.9661343537131852,0.9369881888233821,0.9728633929475778,0.8883847391507784,0.8793957973433622,1.0599028253148521,1.7069411799739884,1.4089998961980692,1.3502091854310103,1.432346794298467,1.4194477490290736,1.346393949949266,1.0510798968886441,1.1345668339921275,1.0760744738367574,0.98117341887,1.0264069645714253,1.0330090398421428,1.1624035739443888,1.2701612158695967,1.1316524524888145,1.1305363207793906,1.360415029812913,1.5062502408507898,1.2381797661727239,1.3244289013587873,1.7057662444161472,1.6858365973829155,1.5608643807272031,1.8183484945085957,2.113900427180553,2.0187171926906724,1.9061245774836924,1.665439520534232,1.75411541761916,1.1635729968878807,1.245186546527378,1.4746282448025436,1.3727604194501517,1.6611478005646727,1.5216839994812796,1.9069548126793017,1.4880347119019606,1.4514495531571572,1.4255432589617627,1.2690889704643786,1.3286135778717538,1.1906510607953062,1.187516533179006,1.2184942298545027,1.2541397401151189,1.0871098947834013,1.1986912560321952,1.4322705689789141,1.2361260895421362,1.2528275371915332,1.027563580805581,1.095738277534058,1.1969188223611267,1.3254281419009513,1.516766457913571,1.5908844109572278,1.6665065844225087,1.560994331150875,1.658308990885497,1.7017832026035709,1.596897508497829,1.6902258912611594,1.9256106813379692,2.0282544143653767,1.94627902059177,1.9748799113583555,2.176411034157896,2.2777636200337237,2.0539272873803953,2.0435693507308406,1.8285408188794414,1.77168473969106,1.6744585850686713,1.5460062401972154,1.5666685169058232,1.48755134624578,1.386050316783482,1.3020064418834232,1.2816729203268384,1.1615031313539033,1.1907214025376143,1.257303608930528,1.109813957188809,1.146151816814085,1.140794797640483,1.3527248816134028,1.1932417243543862,1.160033075922154,1.2752023557279197,1.3603399306454516,1.295255197999682,1.0915397328958454,1.1078916173166438,1.2729078850522355,1.0990056060852893,1.208030956164227,1.2504829248045224,1.3376092733673908,1.118654518955182,1.0394471483152783,0.9902807600506276,1.139036866996655,0.9031375743591097,0.8398181260081332,0.8288155076768916,0.7852186993804354,0.8250274075981314,0.7669109865443213,0.8259022924579905,0.6894791156175605,0.7048070336806069,0.9826589388711772,0.8659979057506445,1.4265880876978303,1.3503048729839013,2.7388617342306008],[1.0437910236488315,0.5427808533986043,0.6844087214443816,0.5174824749609502,0.7175293243779927,0.6507842453517652,0.6339860370533683,0.6076026847397588,0.5682702629132675,0.5230596394096085,0.5071932132367324,0.617105382956791,0.5656005800387828,0.5010171616435448,0.5672553044531613,0.5720413483269386,0.5955520872840049,0.5615284478325188,0.5779678934678338,0.602667352097138,0.6226371151697911,0.6914975862505756,0.7423262443157786,0.7979185381025339,0.8353206483289429,0.6426154905327846,0.574281720073539,0.5574380911931175,0.5894863093172579,0.5682709721542754,0.5965256225655906,0.5967093907969437,0.6210559165931195,0.5672695658113822,0.5773631776954941,0.5794158730729261,0.6082411877606267,0.5956051741968719,0.6557044112298068,0.6840548896392501,0.6434124076632235,0.608830155178206,0.6228896311167612,0.9376158916801985,1.1140619056207137,1.695062565092547,1.9145532502013147,1.1099086299079086,2.7268088096701546,2.8905292403481235,1.5373034025296735,2.2483270282868495,0.9513300219553892,0.7629541192326773,1.5735703640989294,0.9641135101030089,1.1890977294930627,1.5428795312219552,1.013322158040046,1.0824120718193333,0.8668412301772702,0.7417676415771534,0.6754260957864997,0.6538413055834574,0.665319896719493,0.6118647229294893,0.7624639523985923,0.5910676420133442,0.7041409153233146,0.6468421990805515,0.8202030762881066,1.0983736850558046,0.7860106313948741,0.8205434128063015,0.641398940295352,1.0957161936371593,0.5702474534298703,0.5590200307041538,0.5781037879689945,0.6483823466577167,0.6644200232414748,0.750136963875969,1.1220632645593667,0.7435288825958842,0.8139396783479131,0.6637237104621242,0.6352484262010584,0.6467168097114722,0.579278869913946,0.6303866854908264,0.5895374101472975,0.8023410675438326,0.6438508596467855,0.5859840550824648,0.5850792730150497,0.6544531189283075,0.6788125788102294,0.6148912036952532,0.5957609670133113,0.705606510873429,0.6232039001627334,0.7351242628711854,0.6367525568390711,0.7674619491782745,0.8524224735558189,0.8569359853492043,0.9635532211021314,0.9146191100676405,0.9439480369750453,0.9033927648185982,0.7623121136534646,0.6680602403786561,0.6325327354406599,0.6188049657192727,0.6151387674234581,0.5380102837824493,0.542778853606271,0.700286071190967,0.6375983687412392,0.5744968073986255,0.5687195158512305,0.5621074099320462,0.49618684409654773,0.5025896378216198,0.5677163646994535,0.645154012747904,0.643364431861883,0.7323044683619043,0.8649833737246334,0.9308021341188822,0.8175690084279997,0.8323123165683489,0.8876780695336598,0.8965396161335729,0.9277445522179731,1.0166829392374506,1.216707832547894,1.0012463207424553,0.8933270370681508,0.8317932476786997,0.7460462815389916,0.7698935880405842,0.6395925010927768,0.6347895692402895,0.6423865047567843,0.6518889860236382,0.6491140104222552,0.6511464461419472,0.6166082597971462,0.6233945331089963,0.6742072365981991,0.6681464754988564,1.1631081508537464,1.2749816757495913,0.9824667587905396,0.6490455412323672,0.5809033608560004,0.6665604521761742,0.5994273992113587,0.7058095460372239,0.7175608505083848,0.6760676157406104,0.7471571296554952,0.7365009725705683,0.9969600265732026,0.9888918922427072,1.155639963554119,1.5569141571557408,1.7381157057122159,1.5608864073756117,1.2466880014485047,1.0539270743340354,0.9413512520708075,0.7752295391274776,0.6781137668158876,0.7015669299572211,0.6423559141979414,0.8135702074336121,0.6982025547044616,0.8502644671447203,0.8635974628575968,0.8463284986569731,0.8519155202202983,0.8229252523433706,0.8597348345696754,0.765397292308769,0.7498180586362329,0.9741583905917913,1.6238166426169154,1.2930731070549004,1.3283089270000261,1.376837839041182,1.3596483890171034,1.317306347143522,1.0061360406390258,1.001843567364628,0.9926061696977263,0.8281433650669437,0.8625232658364105,0.8885159583992479,1.0713002922928334,1.2351356656387593,1.0490965135229469,1.0315122812628275,1.330479317544185,1.4934593393740747,1.1332937505890832,1.242705519036444,1.6930625151135101,1.6300175150136693,1.4377449089860925,1.7159241178888012,2.0538736071019263,1.7690516607324318,1.6738231106924608,1.4812760219730334,1.6022884206209214,1.045063972367445,1.1361110658368896,1.386956814030847,1.2955472460630313,1.611938712206934,1.467107041982108,1.933300507116203,1.4608041912280103,1.4438468032207405,1.4508291330747531,1.2642894521727353,1.2635698939685232,1.1257309835910327,1.137816862552465,1.1112107508068867,1.1529435339260754,0.9457884622755613,1.0122857064202673,1.2151972287810946,1.0399846311065732,1.0507924492213994,0.8649563109268963,1.0161981412372416,1.1361748639251,1.3087290388653086,1.528143725517419,1.636314306423794,1.722924038645656,1.570549789554108,1.7033629610853063,1.7845212572901317,1.670810834074647,1.7456199471368072,2.009423904065364,2.1281351180476578,2.002565869645746,2.0151862923635835,2.2343617567458214,2.3336870215178567,2.0487724309997746,2.0498591593900275,1.806527131494041,1.7723916282904566,1.6868532790240578,1.5454643900253404,1.5446264134183207,1.4407108287825823,1.3468028877353597,1.237598566021925,1.196655976398588,1.0613373290397887,1.0807475695835007,1.133775591411189,0.9745966989035463,0.988428287665281,0.9828344667022036,1.2130780133262933,1.0388682692035678,1.000014322826177,1.1355414541455902,1.2467306799280609,1.2075144059118295,0.9870360968257417,0.9590087055629697,1.066944028739237,0.9066552281631843,0.992933186556135,1.0711481388481512,1.1697384321344715,0.9720498988820186,0.863373850023053,0.8257370435375236,1.0339771431434455,0.7104823982864995,0.7349365286606779,0.7010335495182476,0.6778106436082237,0.7652478986222386,0.6632928264603398,0.7044376629329404,0.6119448196611609,0.6413096235954908,0.8946067719881363,0.8390466221502801,1.3462162472181596,1.3894892423885126,2.730183619758799],[1.112820903655178,0.5192614990224756,0.6811231857220943,0.5052257170019467,0.7505343775014142,0.6978422257814546,0.6752533223040511,0.6276827407777251,0.6159961919532279,0.5566874623959366,0.535225203783587,0.6302439567220984,0.5773539411109063,0.537065793206658,0.6067047932317184,0.6048802371188935,0.6086908606321171,0.5945974348285702,0.6020394241411344,0.628126990135042,0.6659419813156056,0.7205819107501981,0.7953310558556401,0.8591036014351244,0.91663973700265,0.7307426072018786,0.5988327532436546,0.5641940578592928,0.5956614103701211,0.5979835268784485,0.623331596681683,0.625887980352239,0.6660194438833691,0.6058074560322476,0.6084201122824431,0.601042210058142,0.6206851020098245,0.5918777909718606,0.6254275570015155,0.6764885534403272,0.6190291720839876,0.6104476203142609,0.6127540086293833,0.9351708857437953,1.1197964418062853,1.7512880965815918,1.8856506041313068,1.1028352451639023,2.6896384369004807,2.7752955674720985,1.4582230221391868,2.3378839372829403,1.0484088279541568,0.711739542213197,1.4738936076001328,1.049932821840018,1.2018679572654407,1.5554147906722362,0.9468866350664029,1.0937110894272104,0.8480069641309358,0.7511001870492189,0.7063588278656568,0.7183077966278238,0.6890226681703149,0.6610017700143603,0.7798658575187706,0.6120727496204896,0.750398613758492,0.6714551436025535,0.8370081785060665,1.130164164945271,0.8210878264934378,0.8717654016180225,0.6673724983745694,1.1663535567387702,0.6007921284967268,0.5920293607299614,0.6090728477228684,0.6370695177272458,0.6663542003791296,0.774472010041385,1.1224023259998017,0.7130195585053016,0.8718974979208172,0.6795201156897782,0.6401285765586435,0.658861860980961,0.5956206476297378,0.6567729001211885,0.6183932313940331,0.8561127909682553,0.6851721604330636,0.6310147947809612,0.6222884075618403,0.6978246069057539,0.7119525580323897,0.6555196739695709,0.6230728901353937,0.7466446238552402,0.6364727667993286,0.7332574626836137,0.6482412574902264,0.7757880864372121,0.8313240598663163,0.8050214477825345,0.8919761026033336,0.8613644366695126,0.8863603822521106,0.8715749559099762,0.7420012438946182,0.667510315933455,0.6605010564900622,0.6220069789845607,0.6397944895971417,0.5905972482119679,0.5562139148441603,0.699186904165884,0.705419682673318,0.6051960581276101,0.5947381832411864,0.5976631582234212,0.5360301947136449,0.5343204129484681,0.5947422292557961,0.6515257197090375,0.6894737944358703,0.7219829919906672,0.8169300774291545,0.8851807165134903,0.772880831038724,0.7982542128766607,0.8085425512118156,0.848776638715217,0.8533279232727996,0.95275284079451,1.1067571150722197,0.9147574265012313,0.8034720631398378,0.799491293538419,0.693109643579122,0.7648524683550894,0.6403548609198415,0.6197284416620675,0.6165194621502463,0.6287244184163219,0.6110232563827065,0.6670097272226165,0.6397355235455725,0.6467163220364275,0.6858599775487039,0.71319991398781,1.2296360726744042,1.4055423288191011,1.0801565863342386,0.6728237478566041,0.6005173305126976,0.6853089772711253,0.6161581694229892,0.7246066747289549,0.6866063997434879,0.6659192297433824,0.6926615883166102,0.6939163339098456,0.940935703327154,0.9004165780414415,1.0615555698917507,1.4504831317418876,1.6205213777393015,1.45469491877052,1.139384496029461,0.9599990687228156,0.8753640276307723,0.7102656304757976,0.648183271829053,0.6868845456568816,0.6504143316551171,0.8274270463415997,0.6704120399914691,0.8065908116059078,0.7515964611155743,0.7928246613101354,0.7829191984647522,0.7481538813643854,0.8016545436530332,0.7236752024337937,0.7484095476806413,0.881552968173309,1.6312314751001296,1.29259499357097,1.2312442946117175,1.43945064822675,1.3179519498847372,1.2466376596750595,0.9724459298646748,1.0901387444720514,0.9484536888057279,0.7938908674834382,0.8599042558563952,0.8704276754365387,1.0150459605765894,1.1823162719454385,1.0042606010101582,0.9900856966053352,1.2810273287766334,1.4475255230789084,1.0988377142991281,1.208518424555883,1.68046517007985,1.590620192486869,1.4214935977851757,1.7364110173948297,2.0652440310718525,1.7682053127033142,1.735165240063889,1.5145326575943818,1.6901418254415264,1.0923578453933298,1.1478138516966971,1.4196255894281844,1.319037373876428,1.6514014094937728,1.4956625367651513,1.9258719660196943,1.43369814635235,1.41469526751081,1.409824418670612,1.2148378971997877,1.2356469616858075,1.0859768603476279,1.0842390102604835,1.0747461812103984,1.1225749765244897,0.918819574393831,1.0348021004416568,1.3064320389057595,1.125996188829757,1.152157173674881,0.8732936678050894,0.9412336874986887,1.070269902383036,1.2526060780693473,1.4905738472193002,1.622437048877767,1.719995618243157,1.5353996521260151,1.6990163257172202,1.8125927713986871,1.6786401366416084,1.7368958227460303,2.058893960212984,2.197498370276342,2.024970168314712,2.066327287113431,2.341236493768239,2.426105319497659,2.1176203284484734,2.147438241298375,1.8553168155956112,1.8046897583137744,1.68108444744858,1.5364855773839778,1.5592049521894171,1.421819078464106,1.3106321180108111,1.2206593371225305,1.1860337904677671,1.0318841529148575,1.064223397595265,1.1598171074146317,0.9956162625946303,1.0259692060449581,1.032863126960912,1.2685864774958546,1.1070755247048865,1.0626123200151927,1.2510479823330982,1.3410317569200383,1.2592981354097819,1.0319120832782251,0.9752797960101809,1.0685689752194734,0.9470031142111952,1.0442117244563416,1.1704235938521306,1.2445474663106917,0.9985562261516164,0.8847685894964427,0.832371439137853,1.032481955897857,0.7269790854814981,0.7313320662372172,0.706707891167008,0.6939948697795999,0.752843639767359,0.6828743596266676,0.7024413567185991,0.6467352723594357,0.6407437049407608,0.8670686969058209,0.9317350691056038,1.335799627736154,1.6605994062207903,2.9198621323167053],[1.0532971685189159,0.504102533184322,0.5910152447934971,0.4022246381019014,0.6094847668538622,0.5531414518091731,0.5127100012551762,0.4846610298048869,0.49058565253243946,0.41235935284935066,0.40946736887190127,0.4989120547933432,0.42329956103688765,0.39685027799225475,0.49112008130516194,0.4490455768062127,0.4717580215370834,0.4687273318486456,0.5194448385815248,0.5036670690682209,0.565124976274822,0.6037039784746036,0.7167350827769604,0.7571804230139382,0.7657094437456711,0.6137308511824189,0.4598427963743895,0.41334270108823573,0.43539233807887917,0.4477186842551212,0.5146575986577883,0.4990270832173724,0.5829007539386407,0.5051906977026818,0.48156678970272565,0.4694049117950901,0.45892780946177364,0.45922807843282953,0.47148959976043836,0.5114893545036346,0.48592654067262364,0.5029846646557466,0.5070114396543741,0.7836593485337382,1.1590995290927162,1.7407774151089028,1.9236646036247562,1.0150868051274928,2.4896999517741967,2.5049149553430836,1.2124375255607667,2.2243943663851615,0.984752179006812,0.6249424636476225,1.4822538376894734,0.9433372967009892,1.0152867938204722,1.6810880505397312,0.9489599776227402,1.045538519438277,0.8038366229174637,0.6583305060697003,0.6153587402434569,0.6768607552399141,0.6197241908579737,0.5536381898419244,0.7247822475102474,0.5473773380601096,0.7399604914427957,0.6296905382772788,0.8391804807990838,1.1432056705508191,0.7974421613172322,0.8578032031340894,0.6043928536527262,1.1557803715307104,0.5207033794607241,0.516137604242553,0.4969551848903432,0.5149841347463998,0.50623229256081,0.6433115551871874,1.0344125274812561,0.5359301031552173,0.7376046519102414,0.5019375011314186,0.4819892215908124,0.49747959165611433,0.4724991889090246,0.5583755239712443,0.5341369369782025,0.7864859192567696,0.6313274182628698,0.5484508847658598,0.5238079694478891,0.626232325529576,0.623983980382514,0.5623313056661129,0.5322920625369341,0.7258985568155045,0.5416585144688051,0.6424971399242991,0.5095534388599341,0.6385269271072863,0.6930757754533,0.6819419405821745,0.78288932747181,0.7265358400210884,0.7405867366013503,0.7558092375852746,0.6083726034124203,0.5155909551398294,0.48774467510850705,0.43438612333088283,0.4804685141958961,0.4358557127291175,0.41118357931648264,0.5375122062299079,0.6523194842117315,0.5081110987042833,0.5109157319399857,0.4670356710001059,0.41438035759738306,0.37616639642759797,0.42270386607395627,0.4709319493484104,0.5553809470461163,0.5586207613384412,0.6375506635445908,0.7197340224562572,0.6030236968413156,0.629623048243362,0.6431192902629931,0.7027645656646448,0.6895158816530419,0.784971137902627,0.9513340052676753,0.7347397301315056,0.6463193046967829,0.6897189840461102,0.578795227797002,0.6678469999664987,0.5102749632790089,0.4745140602997031,0.4622743743561342,0.49484485648343685,0.44595590711933336,0.5075020097553813,0.466845561429348,0.49240731557218353,0.5376122662879607,0.5913945762945078,1.1351150649593693,1.4708505042001963,1.1288805208196606,0.5762024502339472,0.4886676263974214,0.557476420584199,0.47059697712180815,0.5529756822740808,0.5203114142539875,0.4829716254601062,0.5328115035628986,0.5204521645387445,0.7562163223563245,0.7397761641897944,0.9192628220761142,1.3084451511273743,1.467455039345445,1.3212203794516337,0.9919298913572361,0.8001078841613611,0.710961485743963,0.5389631252760437,0.46823182645630446,0.5165949919363669,0.4879383444864521,0.6702864928964978,0.4920264833579907,0.6282025309296413,0.6957373865765026,0.6255322843699024,0.6317817272565948,0.6028323576487102,0.650478054532799,0.6045686354912337,0.6329022523560793,0.8115000812551943,1.5506090580834395,1.1413820976910083,1.2943512403609447,1.3090615052474721,1.2104509189455432,1.141480976800563,0.8398504053493997,0.9911578993478414,0.7998991729410831,0.642941708012138,0.7278331242283579,0.7251796910559758,0.8759538905382233,1.0591978501444481,0.8662053509689832,0.8698431162724348,1.180421140559551,1.352346855851493,0.9965942669240625,1.1221888097768407,1.6099907522824655,1.5071605373341057,1.350589301229512,1.6797891983490616,2.000168438847959,1.6899667081458811,1.6962016776968345,1.4754747535141277,1.6596691142481301,1.060231738218085,1.0929490265429005,1.3751575617435892,1.2668867108837027,1.6405614572894327,1.443547286652629,1.8759610686287316,1.3545754977594306,1.3270872624033583,1.311463885579305,1.1068184390036164,1.1273762573694597,0.9746795239515179,0.9661523333175137,0.9529102922570585,1.0170062407932474,0.8061398129950638,0.9619622244537543,1.2380722647966018,1.066111794947747,1.0859666474291643,0.7644051738772251,0.7936985354031424,0.9274727164956916,1.1360905590159527,1.3956821579421481,1.557624736705622,1.6592008144168109,1.4336841063885826,1.623085339819061,1.7671200644538414,1.6190127657095787,1.6730195991088395,2.0280782454752626,2.1784101150599584,1.975606539705893,2.033659209094803,2.3360252624944224,2.415792924004253,2.0887591838881407,2.133487094276794,1.8150427546714234,1.7542145118296386,1.6074936527689154,1.460922558762165,1.501568553686733,1.3432784565650457,1.2170381195806501,1.1410133791803132,1.1102957664865183,0.9311287386481901,0.9776299234092147,1.0955993438070075,0.9296167803702298,0.9539474685927051,0.975585812103462,1.2436580036875329,1.0771916118594551,1.0290017552296205,1.266173517034839,1.350338002269557,1.2507893641978718,1.0179552343362495,0.9260672495933575,0.982228948255796,0.8874878718734424,0.9571518012241923,1.140607742806421,1.1810077370022414,0.9074791875927191,0.7749425678804236,0.6974357456090433,0.9096276369783712,0.5985411208134019,0.615785006750557,0.6195237014045714,0.6169708575279489,0.6441381898307372,0.606908541634135,0.6292169327420837,0.5374840166664718,0.578907786369535,0.79550506010633,0.9517920023676695,1.3371597620126703,1.8794466531411926,3.072444899300274],[1.0329199246667957,0.5045745603527243,0.540547151741474,0.36065059965205154,0.5338610949052044,0.46855452608241044,0.42535470993791685,0.4194672351368435,0.42184834774157515,0.3366880961268721,0.3595824983360208,0.4504686618134458,0.34361357225778505,0.34562632123153203,0.46316302971672374,0.4108352903656683,0.43402862154517297,0.4669309473486484,0.5318929346080665,0.4960578710183596,0.5718458363531194,0.5899046800464104,0.7396699626070874,0.8239948391955654,0.7279215317211233,0.619586169987648,0.4556007844504962,0.3991358378554282,0.41282363048915804,0.4133622277512358,0.5069469270807047,0.46294025865848576,0.5853844353921164,0.4976947932468773,0.4608921631406216,0.4415718242030632,0.41225714074525577,0.42454669550673746,0.4176547087388317,0.4522230188883937,0.4473758079591339,0.506966700992705,0.5113054744369546,0.7409856527370358,1.1748938579140675,1.7337766973230304,1.9076256535852645,0.9882535535502772,2.3375993363512593,2.2654408747882577,1.0535977024703125,2.171048066753402,1.016687240404981,0.6231414890411057,1.5131964746509874,0.9699949250719528,1.0145421867366466,1.7568906607371135,0.9584845268390174,1.0364772835762042,0.7991768374755843,0.6411458682578943,0.6125397054893656,0.6947412709042571,0.6092901713585153,0.5383764761161655,0.7388152370777613,0.5625946195393993,0.7638118592614807,0.6424389823971486,0.8470343351884957,1.1715519598748712,0.8234688655777733,0.8934508968311616,0.6092392986705435,1.1917157858666574,0.519847968153996,0.5130875782215455,0.4762790240139328,0.5048579015969749,0.4686537324606214,0.6207562247032844,1.0034498942095451,0.4715465190491182,0.7034082663447572,0.4525701572703148,0.4357884015529112,0.444314897771817,0.4478721470113238,0.5431469649050327,0.536178412350019,0.8102927533023461,0.6514307143290987,0.5514604378416994,0.5211407257572604,0.6343284314215623,0.6237536483653067,0.5460363161212354,0.4961300073798509,0.7321484439054371,0.5038412853901337,0.5972365701417452,0.4478536666866076,0.5531898126103222,0.6048881614075782,0.597603144721139,0.7158755892223813,0.6410332311869018,0.6523226962495927,0.6933658063108331,0.517952149481458,0.4251093059647061,0.3992162586054635,0.36519298647569765,0.42453890315869525,0.41052332364038197,0.3875398888021668,0.47054185845730495,0.6362928923315546,0.5007488059486074,0.49613308227308656,0.42628646606426446,0.39246027115918675,0.3347161195627288,0.35342696833823845,0.3918030894500683,0.4910689380162772,0.4581805012131922,0.5054735893737946,0.6018580448449721,0.5022250866415332,0.5362620114656081,0.5315995589717435,0.6073072343287684,0.5675190637182652,0.6618754942781397,0.8217922979014608,0.6284574727000254,0.5752993635228901,0.6247052357290338,0.5368256716099046,0.6785584037298161,0.5071817027836591,0.4265499793907252,0.4087350525981604,0.4366677718464238,0.3822814278577194,0.43420236010716456,0.38491431564758205,0.42716980365060403,0.4772985897927099,0.564464777400059,1.1240955660254701,1.6004426620883971,1.1992552134860563,0.5593557142051011,0.43559474816715615,0.4928839007158802,0.40263783229770417,0.47430195369736283,0.43378775978819134,0.4046268026424247,0.44732458158519994,0.42377304372290225,0.6358610017489629,0.62425918949177,0.8017353716899596,1.189241301258634,1.3442360529008879,1.226106984050624,0.8752976773709613,0.6786700064708842,0.5969666872376068,0.44123862470775815,0.38186334255522,0.43119777316040914,0.4277605309847149,0.6273591155804895,0.41212035152553245,0.5312359454629758,0.6662152457358684,0.5146352083189143,0.5290564931404544,0.4989934562099009,0.5475360140697152,0.5491118559840888,0.5823361793099132,0.7451305768134292,1.4943520418688179,1.0593477713576593,1.2615409056644595,1.2820998433532298,1.1411990845607496,1.0658992715847233,0.7548205497675227,0.9525711327456613,0.7377259653040265,0.5566013342080564,0.6506352875482234,0.630079574356828,0.765777063269951,0.9535303159119728,0.7542405276309873,0.7664670706295111,1.0838960527261616,1.2540643139062329,0.8951988687582121,1.0262122605523398,1.523747432874024,1.3956361602514433,1.2493790631258959,1.584401728582994,1.8920618063524464,1.5534004428463672,1.5950285139977949,1.3911468626987067,1.587013736543506,1.0110528735285675,1.0257459169104097,1.3068411718434099,1.200590802623503,1.6100597994470573,1.3727058610827545,1.8291621199208996,1.277963936468986,1.2501111009044659,1.2424798562939872,1.0359483038474173,1.0386104396904767,0.8844767703193492,0.8784887134775474,0.8663431246785117,0.9462406634386213,0.721156256161854,0.9121201541127794,1.192688930552691,1.037823911020311,1.078087337109744,0.6954688990122169,0.6817088742982893,0.8244342883383948,1.0580775879113964,1.3252409735747217,1.5120128247961553,1.6131083162087716,1.3513141594150784,1.5617638133718357,1.728844046242659,1.568479211126846,1.6092295126279723,1.9884504265098688,2.144414594115305,1.9091309383900539,1.9819750065172146,2.303714812881241,2.368050091375332,2.0257843037914913,2.08805454665204,1.751235011378385,1.6935133815064443,1.5388226382407197,1.394710301974871,1.4332703422700912,1.256954616278403,1.128860876019986,1.0590262197755849,1.0314247593891,0.8453567038065629,0.8949787569526869,1.0428034822369954,0.8762596755459774,0.9056438103065176,0.9277077247259521,1.20809473167886,1.0584554905620709,1.0135098511867628,1.2689039123754813,1.360073937461883,1.2362053711794807,1.0141912813408835,0.8707492010058295,0.8767930510088416,0.8765643673363938,0.9140331384009466,1.1513308153228388,1.1613993164557288,0.8516856197087078,0.7120716130480241,0.6210968494238412,0.8280862903527423,0.531725272053383,0.546668318332475,0.5719594176075291,0.6151434449291299,0.5777359079506073,0.5663497189539504,0.5884092525904404,0.4841286538277497,0.5625244214304189,0.7343038085039759,1.056447483110286,1.3597383543792743,2.1590890173508095,3.315590956852842],[0.9484452242257849,0.5162590605522976,0.5412311136046213,0.39152815340087405,0.5510842063164761,0.4784428538338358,0.43642390457132724,0.41124049474290736,0.4163880670826087,0.3613039013555915,0.3706956081697404,0.4359957414623734,0.3578728492585875,0.36992574514773824,0.4930303245304703,0.4462458518917034,0.4568895733421952,0.5012652078605285,0.5738663360712877,0.5424757723390717,0.6373227695098422,0.655338334779348,0.7981704243473917,0.9116953074797652,0.754882269131575,0.6729310864816765,0.5108201409404638,0.4437386607389615,0.44229384479861433,0.4344489076100573,0.535548293889673,0.4958551476489484,0.6070111233975973,0.5400832438010696,0.4981766070685585,0.4840870531436089,0.4385802454889855,0.46526130004983035,0.46690669660038053,0.5005977144015816,0.4998023917966308,0.5561510690573029,0.5628902919767259,0.7646766525261988,1.1780803100990132,1.7791622243692065,1.8891333244660797,1.0205605508429982,2.2802337277044633,2.164656278944583,1.0269515816725232,2.207349050855937,1.079728260378712,0.6854345733682852,1.5246168216338922,0.9973404114999336,0.9180772960708395,1.9138729403838763,1.0366281888959386,1.1323483938899763,0.8929185313475805,0.7075896907921654,0.6733476875211358,0.7708362131450454,0.6853056444784342,0.6186104714239299,0.7973500202557604,0.5909964022611275,0.7865484214895556,0.6619773581061746,0.8327162007199321,1.160215149266434,0.8328470208394679,0.9319114406827868,0.6523177014861317,1.2242453567074845,0.5658900793826854,0.546791293646764,0.5161466673245931,0.5450111121713415,0.4988548239921553,0.6611876484499798,0.9926207089240744,0.5231830733841718,0.7460304592440739,0.49474289603027605,0.49204995452215505,0.48109359903113,0.4918283756722487,0.5864061416421583,0.5733974377349972,0.8247020809512344,0.6762477531614342,0.5756590482676209,0.543751731775508,0.6490671915984251,0.631747288237373,0.5511149850886684,0.48925341807827183,0.7588225967241492,0.5245036931973232,0.5646860635984732,0.4707246864691715,0.5461655846723281,0.6198910601342819,0.5933206582220153,0.7104337125657064,0.6541172615381126,0.6350262225605467,0.7179680505695916,0.5401018884912124,0.43935575793148735,0.41992257273264977,0.3904579620333009,0.46690601444160207,0.44660453655277166,0.4290563952265517,0.5062520898567695,0.7060323193164754,0.5279708022260418,0.5262753672564817,0.4607784421515727,0.43028846872484866,0.3806244420456076,0.38789846725253796,0.428172889643911,0.5086444985936509,0.46608983902488954,0.502464825926292,0.6117045821494833,0.5165547021927025,0.536349579202689,0.563781273814979,0.6263727069405349,0.5941961103515199,0.6804800753115685,0.8341467084620516,0.6535093091928061,0.60173690096927,0.715165357396468,0.5783056808169599,0.7563609547959127,0.5836823435330578,0.47985369425615604,0.4665202377528625,0.48404517015000154,0.4303262296742401,0.47805355746682276,0.41183356697400425,0.4277216061699674,0.47300336409923954,0.585635238091325,1.103661898511323,1.7003640964054707,1.2935821435056356,0.5861232127610294,0.45722456924048954,0.4981512991549455,0.43163700137523275,0.4597762344234523,0.46879387320933263,0.44290680088090956,0.5079108972038271,0.47825206394904174,0.6512700579836367,0.6479480802935131,0.8165677891610075,1.1971737510330418,1.3181928386855983,1.2120728514566048,0.8677085080409568,0.7097716493563407,0.6290783183362891,0.4873377800564881,0.424404355648138,0.4444320286605777,0.45037039601026396,0.6022822666569742,0.4607193863237192,0.5371062972848492,0.7174597970952414,0.5469869803459767,0.5666688098553299,0.5408602216613506,0.5877023019164827,0.6014474715777649,0.6211224621119645,0.7926017654019093,1.497081391783041,1.107722402645228,1.327062330611712,1.3643838629863276,1.2040954945148545,1.118568029182438,0.803839109174409,1.0090573975468846,0.7281297991245087,0.5727683762643604,0.6722452435415331,0.6330576204470927,0.7438392781221306,0.9138904668109861,0.7455392453251452,0.7617923137497103,1.0555328618817512,1.2405516349329224,0.9210137735838593,1.0308174104811514,1.4893891723389792,1.4022714284964841,1.2751009960708999,1.5789591429797412,1.8772926859740484,1.5983990891643647,1.639285646790366,1.4479844604407046,1.5978854390735775,1.0257273740677768,1.0291754410070197,1.291447154632297,1.1644822055686421,1.5845876684567195,1.3231249900853523,1.7483606299816299,1.2183162101672353,1.178193666695912,1.1746058058492557,0.969817823566374,0.9770015406845434,0.8499785374340981,0.8373749703131783,0.8336174117067792,0.9245478263743926,0.7125561735865433,0.9411947772659954,1.199052418045808,1.0455047689620331,1.113585965959245,0.7057872696461198,0.659719227245066,0.7984174727936303,1.0093841776992982,1.2661362434082382,1.4352890810125751,1.5400372044238058,1.284776103935461,1.4862940860463092,1.645218728241353,1.5089934768595517,1.5549565409209969,1.9157047547956714,2.0741315385726184,1.8554817936590275,1.9162535141461086,2.2255373188759604,2.303546281095008,1.9750467462103258,2.023251188298325,1.6988062997505509,1.6288279838926922,1.4785229224346343,1.3294254051386447,1.3763001264035166,1.2198628174555304,1.0776223720912013,1.0175673577545385,1.006524162336503,0.8270628484591502,0.8750311434660524,1.0348288426085426,0.8779048308738421,0.9074978613604578,0.9460137590724808,1.2073098883051618,1.0653001714782027,0.995693848963618,1.2741154805557897,1.3298084784098025,1.2019933973419707,1.0057268552243046,0.8956813082913401,0.9310297557877819,0.8733311056380862,0.8759018421949412,1.092830358306372,1.1263200475606403,0.8452478089751889,0.7064692325242565,0.6278377812949637,0.8160179401947634,0.5034032693506653,0.5341392604739602,0.531428891734087,0.6321795181253481,0.5784369202624701,0.5292215014507452,0.5728955770929848,0.4818941150335076,0.5710926553025849,0.718698596320466,1.0575072982494356,1.3380304923358275,2.169846482117418,3.313087523728238],[0.9934358037162133,0.6346334502745261,0.5173568269396117,0.4065321191161033,0.5006570278261556,0.43230992381702127,0.3993086613518106,0.39935756036476816,0.3842195989476887,0.3304674482379598,0.3546068896920638,0.43664205578242304,0.3601977611151049,0.3624399449183687,0.47337131432837964,0.4413818059739894,0.45759525525402445,0.5094087797351289,0.581914435108208,0.5406343685474913,0.6322830803292985,0.6288793224621708,0.7740558360743772,0.8828379416510175,0.704705820962843,0.6414488654060524,0.5072752635921376,0.441447455490289,0.4499834015360842,0.44704904748045654,0.5421878928922302,0.49568599974204874,0.6289820990504588,0.5447259740436637,0.508248350640031,0.4908020551832542,0.4456113929603593,0.4778580728310434,0.46294592029519305,0.4928052021552333,0.49129097532904553,0.563167124803149,0.5777683367296925,0.7285179822177328,1.1231093116359092,1.6688117849262594,1.784956563097831,0.9543679110877359,2.1201698975381458,1.9283221756406501,0.8709893705191862,2.11924285394084,1.0770500251633517,0.6596184830895003,1.573933684916913,1.0374318043965003,1.0357762717402752,1.866786764539442,1.0057518926358842,1.0515119942934352,0.8585842106564415,0.6956595444051105,0.6757692077242611,0.7651151528305813,0.6760602945820307,0.6029967849886636,0.806284414573563,0.6160261392696541,0.8066272887044899,0.6705568107614919,0.8574677283414613,1.1951522317452323,0.8564805820692539,0.9482260100237931,0.6627377011783059,1.237517502504418,0.5802510506036771,0.5571461481593388,0.5255127640357257,0.5455750983309783,0.5102585278837393,0.6700732771899272,1.0069405088149639,0.5156372940385862,0.7256658398272312,0.49830444782084443,0.49541131391011617,0.49206675913361714,0.496685452120899,0.5977045640412072,0.579825057125971,0.8341659588146662,0.6875800452457483,0.585309627658726,0.5434743070270611,0.6535921403520712,0.6354623306986505,0.552551784979008,0.49139928599548377,0.7881357832332501,0.5275784292260755,0.5689854837082567,0.47509121760340417,0.5240032995647746,0.5857957407089915,0.5693999791582607,0.6961894079796588,0.6336747475664543,0.620725696775841,0.6845053787818497,0.49434914859077733,0.39790494952846217,0.38811286769106795,0.3508610095318685,0.4504030419568622,0.40913178740476414,0.4191884696192546,0.4686116963220232,0.670881539653587,0.5393575796187667,0.5204826211985315,0.4434014679539591,0.4183916106363096,0.3673705920040655,0.34680663619513913,0.3706378085385429,0.4883945619228343,0.42752497168786197,0.42835940357935126,0.547592178372808,0.4548298612846452,0.4779965880556389,0.496810193607229,0.5869406838957933,0.5379660582890966,0.6239878646906684,0.7527583236287615,0.6076163186145437,0.5985435813039284,0.636142546796083,0.5127389217871786,0.7149056571702893,0.578704970094949,0.44997052790301917,0.434108287275407,0.45713895222534345,0.3991723353667908,0.450184325589901,0.39865582406221073,0.4193786561036082,0.47528092172999126,0.5841591519334609,1.100988171330953,1.7667396415237748,1.3024040827522123,0.5898046924244359,0.461870836438277,0.48806434790441927,0.42775604222543706,0.4314195747182289,0.44630555434853947,0.4089587558876764,0.4729526110740009,0.43489584403145526,0.6102082540250495,0.6104340034569058,0.7463174025055278,1.0849042648795182,1.1990944183996064,1.1488763659658041,0.8022475924708654,0.6391279086852184,0.5686755573432307,0.4382882617981801,0.39484038837956004,0.430595237687603,0.44847393279378667,0.625360951786407,0.4518894301536863,0.5102584350440311,0.6866305453232846,0.4671564536398016,0.48181142653340486,0.4775262372688959,0.5332916317158789,0.5683626438803416,0.6041953632075876,0.773945118429869,1.4196897495571905,1.005386282611067,1.3426745942460285,1.3323511529389693,1.1254128184112522,1.076956724824714,0.7512095766998044,0.915652815723009,0.7145534009397658,0.5338005393532722,0.6147492517701779,0.5598983965967401,0.6386890177064078,0.8077480351242338,0.6360608994510973,0.6439922703852343,0.9242064131121523,1.0890976477015342,0.7638599811754901,0.8641136657559605,1.3214337133957457,1.1874441552579151,1.0586844243582145,1.3484554778385247,1.625123794153232,1.295908992282204,1.3556384689905763,1.2079827936988818,1.376562631581007,0.8826150710710245,0.878219758007672,1.1150287731488686,1.0050074078646478,1.4964257103132759,1.183319795217871,1.697775683148933,1.1071909973237242,1.08862252215699,1.1022849479489796,0.9044005839377703,0.8584309119051237,0.7348398993093327,0.7511639853879937,0.7318963705219323,0.8226339095355955,0.6158340257287779,0.8908990017298566,1.0639375887104352,0.962823075871883,1.0624820336996734,0.6446442069948464,0.6133995025219542,0.7305811541924098,0.9425358168223099,1.2163276352941133,1.3917005225295356,1.5098898027588266,1.2108191225370124,1.3995529800840483,1.593224548497758,1.437578939371961,1.449119193660106,1.8108617540166747,1.9613163699960356,1.7050057976220103,1.769930232797424,2.078739411801358,2.1277800523228576,1.786147310052488,1.852405314196082,1.5298634474053447,1.484339191286144,1.350520327707379,1.2082046556571446,1.2275544659758253,1.060574429697386,0.9433097467423225,0.8756266606037441,0.8554054328084987,0.6949766765032453,0.7396251759286926,0.8928451228487666,0.7632379938889163,0.8139296349080212,0.8285851701713344,1.1270914698192451,0.9945666185475324,0.9587019918783286,1.2545197795757292,1.3709802329431944,1.1866086441306576,1.0180905450747921,0.8040240844854777,0.7327226645399041,0.9101288571564451,0.8701569102205956,1.1284553838932572,1.1073315620780755,0.7741473432171379,0.6564209850040968,0.5715405584338086,0.7476030807452678,0.49485089923338216,0.5051376808852498,0.5177178969086067,0.6805537383874406,0.5301606931400151,0.5378194079177768,0.5632858368469194,0.45592502566190274,0.6257011778058523,0.7730868691063988,1.2311571552580425,1.3866743140276943,2.4366678750953477,3.559396729764615],[0.9872884843429905,0.5687714145350768,0.5703949755708149,0.45006684578056694,0.6037416127195095,0.523562934247744,0.5154296682271996,0.47690331689764115,0.4984955304918119,0.5361352461265123,0.564107828428977,0.5841455304157658,0.5811919517339368,0.5949767857013808,0.6783213948497916,0.6638486414073979,0.681403609186461,0.7246945476367321,0.807505746795167,0.7756276037681875,0.8429982912954165,0.8498599252870004,0.9615068838131122,1.0900037823899251,0.9466374584212345,0.8943838625351027,0.7452089657893776,0.687884508436497,0.6845959940034752,0.668245768284626,0.734642895722212,0.6860141725182501,0.8123733988991888,0.7527459052710114,0.7263132133915139,0.7175638683076342,0.6640904479093467,0.6912528122895731,0.6857874231227351,0.6943172191611358,0.7036578656383852,0.7516421589674392,0.7651775952736779,0.8848802677920766,1.2026643070756873,1.7916141896431086,1.81288747963383,1.066544954303171,2.1810581733189425,1.9921216973366482,1.0101048345595967,2.243679464583937,1.2165004295000053,0.8131189447830641,1.5906723364183757,1.210206748390339,1.0898600507270095,2.0052971550639884,1.159630840444586,1.2527251757596574,1.049986786709018,0.9031465232747624,0.8829678164735961,1.0004198832255675,0.8988990898176416,0.8312537395028546,0.9997642163512069,0.8087158297182314,0.9762146154192415,0.8496784702601096,0.9590002523358511,1.267504995273555,0.9923572055025793,1.0901512508534097,0.8505727052236441,1.3585951795966555,0.7823141595712919,0.7599445745465576,0.7380649805873818,0.7661250969717885,0.7047687448774009,0.8181622058418746,1.119344052637485,0.6850643906586326,0.8783677995127652,0.6775630914407401,0.714552710407149,0.6863005412368703,0.7228841476116054,0.7948624159010594,0.7876571519447303,1.0085200616670627,0.8758565959838965,0.7785419962597853,0.7455265482211051,0.8260113285783618,0.806430600179925,0.7179384771257883,0.6571374703998635,0.8619642543968193,0.6705008302693543,0.653713886363986,0.6250594375294753,0.6342002869175083,0.6941578402540299,0.660486931707159,0.7704096143514382,0.6898097031364213,0.670681799905776,0.7711818596604184,0.5844917155229409,0.5378249503953548,0.5333339380636611,0.5537830969534058,0.6449467475237829,0.6391616674608741,0.6564858629806909,0.7334112970441443,0.9602836698858221,0.778988648436009,0.7654708751703907,0.6960432697962072,0.649171922532014,0.592773902384942,0.565414849578477,0.5919425722037146,0.6099611242360323,0.5861709501691238,0.5903080940652191,0.680562557151917,0.6059004488470143,0.6193020889620161,0.6548846567877533,0.7003188664115161,0.700318755069881,0.7661232188133569,0.8831513730597133,0.78073761027455,0.777767082727569,0.8635100444927176,0.7788248215783874,0.9842381213743313,0.8018965104693784,0.6846891040708387,0.6817700150351297,0.6665266283718412,0.6207935750935349,0.658527026237668,0.5780509700974139,0.5679318486330958,0.5634688228408824,0.6611492445093253,1.1480574327643176,1.776882776371465,1.3162705304927613,0.6857129834381318,0.5848239877033715,0.6076474778882008,0.6064931595907338,0.5863421908684261,0.6204792716720169,0.6078313665091234,0.6815845792197954,0.6543417858914792,0.7968943727612909,0.7799398178856901,0.8911192648857638,1.2082346388360319,1.3298466845082508,1.2463725181973089,0.9300232648936478,0.8233514085127819,0.7393189328761232,0.6050685875829235,0.5772259119603478,0.6049407481334406,0.6334042583648017,0.7281122730737747,0.6234680547998918,0.6649070409400101,0.7693973791137132,0.6419736640557112,0.6518654485170938,0.6367619455242617,0.6913729632707025,0.7061221502108609,0.7534738847430935,0.8935532918624243,1.532582283868822,1.2021927400013201,1.4588603506228004,1.520053321900993,1.2952713295373421,1.2033448344594126,0.9137450620807069,1.0903639070769855,0.8210016689365383,0.6574927403565555,0.7342594731004155,0.6768761065024288,0.7574893350149591,0.9024608945367448,0.7544141045983596,0.7707883405713084,1.0338837548824622,1.199089099254343,0.9044996124579932,0.9982876028407559,1.4380760648541027,1.3300157658153298,1.214398930345437,1.5105124077640597,1.7800982408803083,1.4955893983500845,1.563346520245697,1.4018943800872514,1.5555251253926454,1.0180134934777259,1.0088802627610645,1.2646299796480975,1.157180663715187,1.5814529157711454,1.3298294442859702,1.7889036449029372,1.2255527965547766,1.1878846785804666,1.1663194476354244,0.9813368386546668,0.9719726603147474,0.8510743024277084,0.8424071359834031,0.8501534298694629,0.9371309765836191,0.7435730167294953,0.9931460828390121,1.205336896390046,1.0696770550630774,1.1765713269554838,0.7534579122531361,0.7066099378022231,0.8286397400856306,1.0071831164497218,1.2787915131351875,1.4340410950989808,1.5551700695726425,1.2781537160197334,1.4684162521841941,1.6467516383214935,1.495733477191755,1.5237815956424117,1.880769581012721,2.030719048370873,1.7976875670720944,1.8711662067215769,2.18448118674462,2.244138327751345,1.9189822556516114,1.9848928490209397,1.6572987264310635,1.5964057320939735,1.44776344440865,1.3089463482347492,1.3544536349961398,1.1896001816448347,1.0578429123457354,1.009832687108461,0.9941984782889124,0.8286877647128292,0.8749153389756018,1.0334948903164962,0.8836720819199647,0.9302029632416594,0.9523840494157886,1.2069893893886805,1.0727448918906328,1.0077344294542014,1.2871333069860373,1.342066028785116,1.1826961816166317,1.0027470051431862,0.8884340366711678,0.8954006436223908,0.882189304599225,0.897923479005758,1.1001062374129604,1.1556397629758377,0.8823851325961026,0.7447388521091441,0.6848015456945159,0.8549626290865364,0.549326162779795,0.5724735876353474,0.5710011944721457,0.6800253491752447,0.6016882552537645,0.575911649108455,0.605939648623384,0.5244502028191068,0.6339571706845541,0.8096337727454471,1.230568129120836,1.4199657064622264,2.524431340871375,3.6728214777312087],[1.1119007392579396,0.5681456155704759,0.5981995323575903,0.4239578386311326,0.5584421378063411,0.49702163698022567,0.4609159943172997,0.46385419139268247,0.43828191233517466,0.36087741695999426,0.3845439956967165,0.4677698160830843,0.3796719259613734,0.38903635029398975,0.4926703109696852,0.45706095878010083,0.4896271417775259,0.5389660410460846,0.6051561290907345,0.5761853116858798,0.6675303637398481,0.670974368695509,0.833727015019727,0.9373885536786829,0.7823910609941527,0.707160172316054,0.5362837002420998,0.4673394533442709,0.4739438694002472,0.4703961852468817,0.564767693471016,0.52354965884476,0.6444126345329797,0.568317245159191,0.5210408773979482,0.5121276124466067,0.4725128737521034,0.479539460331227,0.4757512497468518,0.5060471070360456,0.5023054581618561,0.5826657853867042,0.5983466124450308,0.783412101729348,1.1545105896750694,1.739101320302157,1.8375533291456918,0.9990698670583238,2.26194658808764,2.1292867804467943,0.9935396009970269,2.189061370306004,1.0725307429326447,0.669041753437933,1.5529724811583876,1.0291544036895617,1.0472015014955667,1.8552840381146605,1.012876953340208,1.0866998444062148,0.8724963595985028,0.7264143797036378,0.6935191938485378,0.8051176714075706,0.7135136878800306,0.6358291462600821,0.8341037733253455,0.6441576637591029,0.8226589967921648,0.7013806437134459,0.8888904494271699,1.2328173305257624,0.9037255909947185,0.988101465148953,0.7001590195213014,1.2833052280071804,0.6054600863001374,0.5873820411253353,0.5480793904313023,0.5626630842624115,0.5356925067885454,0.6769608854250918,1.0338027792119264,0.5294609560796469,0.7391016291691959,0.5153011129502975,0.5053883844241431,0.5034965515247288,0.5109998680897871,0.6125123012119683,0.6046240289719496,0.8723790346595267,0.718833865538942,0.6194117747884895,0.5796727263289433,0.6868851179943941,0.6708034218309828,0.5847505496282515,0.5319637307351798,0.7894189744655803,0.5467401715003911,0.6232322469814582,0.4855962246559759,0.5609401004907697,0.6157427314801431,0.6000541384453602,0.7174487758012579,0.6703708940160127,0.685574318763531,0.7001865466133826,0.544504373354831,0.4517121630591054,0.4356813597764857,0.4131537407770408,0.47304370268707635,0.4547229077159405,0.4435185129509988,0.5172815738724983,0.7071963624091391,0.5526023171945795,0.5417110542574796,0.47211184724325295,0.4348302966618506,0.3874767194457765,0.3963776456547843,0.42789863497854147,0.5271904850192579,0.4824666418200997,0.5149208036996799,0.6089093558083282,0.5190587068269316,0.5502370992806832,0.5493323265564058,0.6201475443636948,0.5847717732186154,0.6693666621603199,0.8284785657805436,0.6542719646855266,0.6113499614369758,0.6776838705632132,0.5690689927341502,0.7404006273992518,0.5874265410796898,0.48122547757024214,0.4675624559754406,0.48630705980111094,0.4385829032156696,0.4789387733605975,0.42608053159748344,0.4592211158035847,0.5148903951489229,0.6069511133505393,1.1704059638967752,1.7077405044331817,1.2344270859180773,0.6081873223225359,0.478843904779342,0.5192985959150849,0.4490748708303582,0.4884450646944103,0.46958988257503886,0.4484354450181602,0.49091214621074747,0.46368826404267954,0.6505460906535036,0.644685736731062,0.8026494008650649,1.1919382589621534,1.329852589315224,1.2279085296140075,0.8730985764466813,0.6962014841002682,0.6094779831860978,0.4698160997677509,0.42123370971691326,0.4666629355155145,0.46820631193860096,0.6643398657036723,0.4591242140855335,0.5530068720518809,0.678339127218909,0.5239558112373,0.5339699957272342,0.512054547040596,0.5701243837348847,0.5841507998813277,0.6168057105661592,0.7737378299280377,1.4876099418742335,1.0805685038419062,1.2960762350087438,1.341225890158864,1.1689092769667921,1.0997299788703039,0.7849567676550336,0.9706425818641017,0.746578731278091,0.5661121756083765,0.6621302538401111,0.6316675408285907,0.7689187927343615,0.9412434039362835,0.7460279598847681,0.7724618973035388,1.0867766464772093,1.2423597841100746,0.9027034615433531,1.0314951759075066,1.5189896471867177,1.3744802519898673,1.2447152519699567,1.5764421537290434,1.8552842305398807,1.5223605176362043,1.5881345038323005,1.396244377195389,1.6106836465190606,1.0471093882976623,1.0529681683802206,1.335939703394944,1.2361324854828708,1.6442296039387525,1.4230014780959155,1.8851870618570519,1.2937165933328556,1.2641830736451178,1.255711820713513,1.058798697738024,1.0542496927553267,0.8916702022722423,0.8907149606937584,0.8764384399565244,0.9597798074374825,0.7318390756914884,0.9177731955632306,1.2210610941482287,1.0634328802213635,1.0768297106829061,0.706585465936314,0.685333453347368,0.8314938070970295,1.060061267761311,1.3239326745918032,1.5269497852685787,1.6193017085897519,1.3420823521674867,1.5748282658664472,1.7448242306909494,1.5675525722813617,1.611109064159367,2.00384857493944,2.155311489120881,1.9015471425349986,1.9947404443521817,2.327185105614983,2.367835984556345,2.035259702639423,2.119459956479336,1.7736024106636843,1.716061557207015,1.5517800495906056,1.4157293503775061,1.4575063244591409,1.2666987441658306,1.1432555914835305,1.0818016817091631,1.0564909749733047,0.8635711698430474,0.9203230050302992,1.095683258030644,0.9145758255857611,0.933443811224412,0.9632384827401521,1.2467240283511687,1.0915895134351792,1.0482793713025307,1.299848634321022,1.374150864308353,1.2477185594182916,1.0292516355139663,0.8923699448200905,0.8886062954749903,0.9057067665673891,0.9446334249064027,1.1686765217627182,1.187917902196192,0.8874635136098719,0.7320500839917093,0.632889897070087,0.8200015610969497,0.5728127585791385,0.5811218172072088,0.6322287091250371,0.6876976436076331,0.6062645112507328,0.6363553202972155,0.6507281977242477,0.5181410726701836,0.6658693804870789,0.8012193755674751,1.2227862847188489,1.4731850163312623,2.549993612623175,3.6732598266381116],[1.012744508123022,0.4900656430680817,0.5512234265496955,0.3902186220395168,0.5593949216144887,0.4776318995226953,0.43415135851292475,0.40707494720369247,0.4252152770512648,0.37409166350201134,0.39551404705393833,0.44181849154574865,0.3929742178992559,0.41821398104550106,0.5246089036974355,0.488746590406542,0.5132014103227169,0.5564695865388959,0.6314384545174588,0.5855302238477621,0.6918161494836551,0.7022552211746703,0.8444997734166492,0.98098541832084,0.8038942000353163,0.7261818513618403,0.5655645707134135,0.4886348932495892,0.4937671231901355,0.4758368042925268,0.5837689971064641,0.5197127274746991,0.6310347153232395,0.5757007166845314,0.5363539888087439,0.5335133487379312,0.4740699456512265,0.5092577710301006,0.49516057777742106,0.5210577292904126,0.5344295536323491,0.5967004640037059,0.6021140392977764,0.7941125361419178,1.2106161039736327,1.8106975886859067,1.922776890816855,1.052808384610636,2.301521381876732,2.2126681548995437,1.068640745096105,2.214914572616562,1.1180993352880881,0.7248616510612911,1.5368684609294037,1.0700812041901862,0.9652060666702768,1.8969574176633353,1.0439064450685391,1.1883127495048982,0.9187204023336284,0.751941962044041,0.730133822335267,0.8228748064668497,0.7306928326642621,0.6589559480798253,0.8611186797966128,0.6476871107962952,0.8406947614149993,0.7142014569446035,0.8782932809893507,1.1680261150946325,0.8787791113453908,0.9752104714486035,0.703683869608321,1.2593562929354352,0.61999788532368,0.5935035046955072,0.5724718208241154,0.5998045765972096,0.5227674902349726,0.6971875200807232,1.0078731671391614,0.5220366098304396,0.748429075240135,0.5084207717800302,0.5316761968614028,0.5103109637511138,0.5436364401975392,0.6174105430690993,0.6182786785774781,0.8764397653962807,0.7295297386790074,0.6237230810253367,0.5847784292917637,0.6950120054693948,0.6670558375312651,0.565168209891577,0.507853887193838,0.742807692203184,0.5231951447921376,0.5747018725069714,0.47090315087425555,0.5524761884287757,0.615280066050109,0.5874687718965755,0.700091178863495,0.6675092504118226,0.6627560174569076,0.6900975744971257,0.536668296495022,0.4443730158194553,0.4323799017558364,0.4076763515109866,0.488712548269062,0.4975256471502329,0.47985920264747484,0.5761161474698191,0.7864738427835095,0.5884375527875546,0.5951744644501821,0.5246649005422759,0.49336997245232156,0.4288144509286961,0.41186209196473617,0.45667425231787934,0.507410911570168,0.49088865241183216,0.5292282962413124,0.6236327937899064,0.5472006959390726,0.5637847451225119,0.5853945498967295,0.6247969451483777,0.6124982447382717,0.7025858639854871,0.8703430482153789,0.6759327589746051,0.6255219605622655,0.7509266158100777,0.6425197408427461,0.8237718002029352,0.6312468888481133,0.5248044384817062,0.5084015851879171,0.5164380497556682,0.456851748254435,0.49497446807143275,0.42648465409757663,0.4441701267679907,0.48442275159009307,0.5808916478913546,1.1268943450591606,1.6477654493768221,1.2244799888544369,0.5700843934776101,0.4452472783326314,0.48799400406226556,0.4304616429731095,0.47728934320481486,0.4776596179174493,0.4593593790232704,0.5404771047621553,0.5099105849799931,0.6897625143698609,0.7083593825224473,0.8582903371831807,1.2664217778543063,1.3785291723381354,1.253863786103153,0.9083780241083133,0.7405959533605081,0.6519994525380769,0.5059477250664192,0.4315726837200716,0.46101513779240766,0.470024270363356,0.6315635699191519,0.4712608039886052,0.5424300176863743,0.7191888415904987,0.5466691414106165,0.570723754651364,0.5540529033566862,0.6144486532603889,0.6162275092033954,0.6447320921128199,0.7996956383444396,1.5267086692177558,1.1401929604517012,1.3344114131488582,1.3819536578507632,1.2413334284229542,1.1509568816339468,0.8538468397455743,1.0676103555048169,0.7679081155715523,0.6063705217742623,0.6947394295755173,0.6448105211440497,0.7806284312800796,0.9541650794963374,0.7707244276439263,0.7980721061505227,1.1085402847795454,1.2858293766961728,0.9595993149083287,1.0895358502945438,1.572131768242023,1.4713864089371258,1.348246824324468,1.6852737775431137,1.9795406965238824,1.699307443451485,1.7523884421957552,1.5194417295527731,1.7301242557465737,1.0965829361304316,1.1006179521616655,1.3987660817250926,1.2725634636013778,1.6665565799891104,1.4530776534133754,1.8508083492640077,1.3036882293418388,1.256173978720871,1.2304914898650972,1.0127989241404407,1.0530488976165806,0.8958902108563113,0.86910052251173,0.88015910259267,0.9635109197972049,0.7522734689584489,0.9793119866654697,1.2815466151470591,1.0938160587868597,1.15088996197179,0.7355908199453596,0.6916203370522125,0.830401125087883,1.0461671487935678,1.299753719116556,1.4809415034394076,1.5764723356576884,1.3289360505782155,1.5564778845059264,1.7162006953855988,1.554015309889039,1.6150396631946147,1.9999832475459585,2.1564978514301907,1.9352124958774684,2.0212456766012856,2.3509258556041974,2.4165829832115366,2.0986636728094674,2.1658027383902954,1.822943227969727,1.7431654659733018,1.562897034749755,1.4166529537159014,1.4898391142161238,1.3092460213066057,1.1560986815824372,1.1052820735634252,1.087361626072857,0.8798903864169675,0.9381064087762598,1.099910598312188,0.9190075912761976,0.9448999858873267,0.9866090226090966,1.2557096846052995,1.0917174641662917,1.016684453454722,1.277545187924931,1.3162054638611436,1.2342275720873617,0.9946577358341203,0.9282028753451392,0.9925451616683079,0.8617354102474415,0.9058934862905745,1.0939665899671773,1.1425305918577604,0.8767100232767588,0.7279475893051146,0.6443000904076739,0.8295025820161596,0.51423101961117,0.5343637852732849,0.5559497360745216,0.601706635520282,0.5747542146351393,0.5506432094499676,0.578477003715416,0.47484220188804366,0.5600668797469844,0.7505165059160157,1.08496212599063,1.3664794155076356,2.301816834209884,3.4386311784259456],[1.1878497022498733,0.7944672380946582,0.7519432869480943,0.7007620518484704,0.7120228594710895,0.7330138148106401,0.6575200438283683,0.6461138036724545,0.6110180735250528,0.5433805742271972,0.5319541099296613,0.6056581324429989,0.5435637349856316,0.5227535691699443,0.5795425885368535,0.5530801401431711,0.5695641158746738,0.5692354681151609,0.6267214266802457,0.611981827284618,0.6634127321046415,0.6966159631154866,0.7633015625136762,0.8419934901791404,0.7507024928094258,0.659049337276712,0.5966638537416316,0.563472191418665,0.5775432674709458,0.571576525303561,0.6072592514616654,0.5950787537765557,0.6994327009437239,0.6002485613225731,0.5782914071785529,0.5775152258381004,0.5636310568451222,0.6014646272860514,0.6274023337309091,0.6466543392701909,0.6279841676592094,0.6347048826725167,0.6464621626453961,0.7974729381074481,1.2326900982514841,1.786043793548618,2.0053969069198763,1.0490578921683775,2.3968918578279013,2.3930976266932396,1.1313907075823009,2.1488244419559517,0.9780787750447242,0.7929331717686721,1.6761480687568815,0.8988660436105517,0.8465672695323411,1.9349864660027125,1.1301008673950488,1.1736298171861055,0.954503169499374,0.7622069543153257,0.7085095614939856,0.7963000318024009,0.7465346327401153,0.6662842235246687,0.8109243112569509,0.6700010033919143,0.8217540749880227,0.7234777892338907,0.9002540036080539,1.1799030192763975,0.8825055536064237,0.9586451040099926,0.6985874267377242,1.2325830745634596,0.6332423099645919,0.616732045382572,0.5979808903406966,0.6255890235783483,0.6157251929880724,0.7446563998260957,1.0769471232937788,0.6833781105104973,0.7541017650732216,0.5933267356244349,0.606308065356607,0.5920434452479874,0.578423767765691,0.6433236913400414,0.6395863212099271,0.8391754173831655,0.7138724345152054,0.613991242665667,0.5941214369689207,0.6778303113541752,0.680719710922408,0.639384592333907,0.6422613462289374,0.9125845452029946,0.6956577000448796,0.7923078645477712,0.633270738997791,0.7523758484310035,0.8504606412374587,0.9035247079607608,1.0531171018065306,0.9218147342507049,0.921400308545499,0.9598729468522114,0.8257639534434136,0.6981167591566309,0.6228512233197042,0.5879329175736351,0.6142980692648797,0.5656439148654286,0.5456332224378774,0.64039250675164,0.7924284859232731,0.6026323064974455,0.614252727381927,0.5566141228592235,0.5421731859062329,0.5302542055373586,0.5738657137056292,0.6289497791083122,0.6979801294048956,0.7003967104350145,0.7872318320370906,0.8740710644494684,0.7450973809439556,0.7756469408742727,0.830447181382867,0.8728431256136369,0.8471098373551273,0.9285055084588871,1.09989372047227,0.8367303427755187,0.7823906728842576,0.8886558442053695,0.7573271031924333,0.8044373407883952,0.6562207168867149,0.6287767225753653,0.626874210288449,0.6621865228312552,0.6173246586517189,0.641477371793823,0.6020103617696703,0.6074999711032243,0.6676862182895386,0.6615688133295919,1.0621081916681236,1.551033816084608,1.2655767133727223,0.7016584357369243,0.6356390354084542,0.6928376858737463,0.6200448857670848,0.6475183381396514,0.6994412486220936,0.6470429375232672,0.7238207028679835,0.6854962931445713,0.8707219603206988,0.8646555676127808,1.0535787535504622,1.412413241902568,1.5573560555628023,1.4059473703951868,1.1001414928800572,0.941301933586339,0.8657761653731052,0.7267747536595818,0.6381698130323827,0.7005442874174383,0.6393949283280307,0.7544700434405907,0.6608720922014879,0.7770958083087508,0.9398848655930292,0.8046433881185641,0.8281393817662389,0.8001836872582447,0.8061504625039224,0.7486660610450203,0.7373019844747863,0.9740015334410834,1.5533954360309372,1.1383903423906303,1.5523224969085365,1.3142847150184906,1.336009209119255,1.2773411372648258,0.9547855423196113,1.0190710010914756,0.8726915048325651,0.7565736759177459,0.8019269485800691,0.825383711422282,1.0452994057973222,1.257986033130342,1.038600693922603,1.0325147835615964,1.3973839182780077,1.560771529419162,1.166924047003393,1.332867270715577,1.8562771206757842,1.7315361924268347,1.572610301275476,1.9335964080623114,2.243502256480545,1.9302501043933598,1.947460649068565,1.6506040769113641,1.9537702289924772,1.2413807035527133,1.3107089365893603,1.6308701686499623,1.4973923268073108,1.8301612101596219,1.7426548852676402,2.157914205868327,1.575778784779499,1.530516328438484,1.503835186500111,1.290526970777944,1.2687588765628925,1.1348533076874185,1.1532911716462104,1.0974552567809208,1.1358669294799597,0.9441901144337661,1.0240750795948201,1.2189173866225245,1.0650705733687087,0.9996057260434966,0.8367685851725873,0.9641647544384652,1.083305869343368,1.3459138717396586,1.6064208703251055,1.7896031595246817,1.8529543286683277,1.622291348931711,1.856924095957651,2.0135828015359594,1.817165223828841,1.91512137103718,2.3002032881273773,2.444530761834639,2.2263366271191787,2.316379984086245,2.6416506072180064,2.7009230767823276,2.3732488507568874,2.439885702512332,2.0964218833598434,2.0262025507052046,1.8539075333860788,1.7049281601521176,1.76790083641542,1.5810299805624664,1.433441952327074,1.358410414251783,1.3229442873408475,1.101575411087,1.1583560247401399,1.2438061785725831,1.050602848674147,1.035388967879314,1.0805300843627452,1.3490267339171402,1.155964686079783,1.0940761303891058,1.3041316387302007,1.3464046895384096,1.334972961721897,1.0648147639690224,1.0863913741763007,1.1851029794717605,0.9430205344379781,0.990752817045377,1.103082960413844,1.1642973106203955,0.9598018133669267,0.829108710991971,0.7718375326582672,0.9975374510215198,0.6937201094831462,0.7966230275576894,0.7721203300197613,0.792445627509362,0.8868317180931724,0.7911500276815269,0.8202212006634562,0.7554228680694921,0.7403200735765767,0.9974881973799993,1.2966481285594809,1.5582030543557752,2.229579763521084,3.399525545261792],[0.9250512151562184,0.5020439350760527,0.6102622498181475,0.433262741359538,0.5996806941887041,0.5052652252765036,0.44469930806818886,0.42669336558716336,0.44069893952841593,0.3539638776960296,0.3570850267180615,0.43630475503315325,0.35162447926479645,0.35028297900451966,0.49193995964744314,0.4184600794040999,0.4234149369991234,0.44405536139562923,0.5234884748522056,0.4884150183907285,0.5725298720100033,0.5992510056793219,0.7452048843094418,0.8426858394137268,0.7234798943896138,0.6051631069224707,0.4597462287799253,0.39060607221147164,0.39694473368699634,0.39244433346324725,0.4970205454717702,0.4500607452302419,0.5563148512535726,0.48708582954455565,0.44185737068012,0.43034313862186807,0.3956954576483929,0.44343166658168115,0.4317911662559998,0.4667066709930247,0.47817634031319967,0.5200420286321115,0.5175507340457666,0.7598731844396643,1.2319668528972656,1.8092093626446966,2.0115919193456366,1.0613496018267543,2.430474572809735,2.434538159288031,1.2071480411904496,2.1946005212002935,1.0134547579689561,0.6927472013903567,1.477750313703222,0.9178794736128576,0.7991364783619381,1.8608736450054282,1.0331516580216062,1.1545531847289623,0.8827238695836055,0.6715255713824387,0.6023268785817592,0.7071340342640839,0.6436033673689293,0.5552496080508552,0.7445679670433768,0.556455053978375,0.7476082679057472,0.6557673837867768,0.8240526192797415,1.1052988565439603,0.8033524251719688,0.9027893321146285,0.6085139344854607,1.170303329629047,0.5163427005028676,0.487121391118664,0.4677064512423759,0.5266809982732883,0.45370252786119497,0.6325890696087749,0.9802070594723432,0.49930837395467004,0.7192292281969085,0.43970851168218617,0.44902468320288413,0.443309921624142,0.44957340669286866,0.5274063845125454,0.5260952155341265,0.7944520813732621,0.6495344113825019,0.5317970050808397,0.5044783195644242,0.623422411860472,0.6100104503511389,0.5190279808686016,0.46416963893987206,0.6751185642545411,0.4742911161064867,0.5750974610117482,0.44431093789341936,0.5540415469644446,0.6167047758168922,0.5947562888389182,0.6986862144517217,0.6817343115927692,0.6622689884156444,0.7257122866434349,0.5536103882890477,0.4511556888091184,0.42545876003516536,0.3913280937726582,0.42332359891804056,0.4345580539838688,0.3947465340434628,0.4951572021563013,0.6603796939199639,0.47495293171586905,0.4963479569497268,0.41345539661410163,0.4056867175065287,0.3501655595441635,0.38735940845344785,0.4374219672139397,0.4988604457462615,0.508827687169046,0.5748733907714602,0.646077143142568,0.5801801927158091,0.6072447686912732,0.6127162230698785,0.6362481164220739,0.624179981116458,0.721928133490298,0.8755761198478788,0.6699080267084289,0.6036288749136245,0.7326808726055591,0.6003228312749698,0.7422677280048502,0.5321042603716775,0.4607780082261316,0.43925009167066575,0.4630367455548243,0.42150410880269895,0.445935240315887,0.39443195312936674,0.43870584720205213,0.4930914625366086,0.5746899373170447,1.0917032921081813,1.521582361909645,1.191539698027394,0.5463603720771149,0.42096266884401484,0.48483906027547796,0.40118316568771945,0.47437444746117496,0.46264179727743404,0.4259808203957923,0.4964862950558396,0.4717874141686494,0.6605989119474659,0.7000705907631015,0.8906065468208816,1.329542702247764,1.4496254698211584,1.2871916456221593,0.9323638087291778,0.7413233695022209,0.6449377725691332,0.49358299240491305,0.4144394952580873,0.4381393601601908,0.4287569174059836,0.5852298876968145,0.44776557082541013,0.5309766229903055,0.7335642856499283,0.5617803805099661,0.5946594627616996,0.5745443840015948,0.6139237131143872,0.6106698795748947,0.6228771240008746,0.8214154842552529,1.5700085527226588,1.178523522541249,1.320817463205564,1.331317823391889,1.2482995042914826,1.1467171257266655,0.8553754910738682,1.0757193033919938,0.7602155644506339,0.6513362965863718,0.7593922970865509,0.7171154875490529,0.8299199442619656,0.9749217739674766,0.8282969280196988,0.860661677581642,1.1246360698129911,1.318389823509489,1.0401845332149744,1.141921111544153,1.5649066642449763,1.544299069706921,1.4345323411267967,1.7237974583744216,2.0326521067594037,1.8531685501455626,1.8621127676492042,1.6496355127896865,1.742189399407949,1.143286637938786,1.1412027743248183,1.400542571449262,1.2603659275052101,1.6225565122471326,1.396180976659003,1.74071213450354,1.273554756741421,1.2150862361886439,1.1900623886088801,1.0006830170260002,1.05760924664158,0.9333791800944143,0.8858379853902535,0.926056936414066,1.0165717369528895,0.8178091091414736,1.0383039010233532,1.3612796735009127,1.1589107216185683,1.200289056440416,0.8056199663059561,0.7181812278358107,0.8561454648985124,1.0285497512007098,1.2578685394782678,1.3929582804664469,1.4970488839216163,1.2983294718325384,1.4760550451493983,1.5998571756244508,1.4908663429756654,1.5562803623567398,1.889069404898259,2.0479144306737616,1.88434051200994,1.9310494584603555,2.2201260653700863,2.3393859481815635,2.0358953186871935,2.053399689729188,1.7547212132684455,1.663334059569025,1.5073263798804566,1.3569042651790637,1.432197846568162,1.3003456363301293,1.1449391193134615,1.106449613504459,1.1059021450578201,0.9283401233260138,0.9764521148299151,1.1317128552948528,0.9788258625448172,1.014977286008501,1.0535953249589831,1.2981765236260474,1.1439785811510432,1.0658913628182733,1.3207067676958253,1.3459431731420968,1.231165895724002,1.044845963166944,1.0031907328178082,1.1265552758905952,0.9406428228511422,0.9701502263108496,1.126118291900575,1.1942303560633698,0.9512111297702506,0.7899531236661185,0.7096814776455628,0.8711263261675102,0.594671627535646,0.5838149411937874,0.5979807943444297,0.6096832575600394,0.5926744572869053,0.5743799059019284,0.6004649188873868,0.49134693678855346,0.592730729523552,0.7634785126435337,0.8287669039064114,1.3075955601436653,1.697532494156944,2.8651005828458045],[1.1238319344017835,0.5781210282759547,0.7768561204846298,0.509834767219561,0.6864750586898681,0.5870257136581556,0.5142586589282503,0.510469236570411,0.4990070431274804,0.3862990607489529,0.39502320245961753,0.49529713409223075,0.38889310427618534,0.3657747096740063,0.501337346687918,0.44123990128644863,0.4246956224417601,0.43011132982670663,0.5112887856298427,0.46747343704994826,0.5473064195057671,0.5797471927905783,0.7471892915217095,0.8238662525037264,0.7736451274459419,0.6234331456195736,0.4505649095908478,0.3940166366356116,0.39832375958801225,0.40992668232358864,0.48980323912645896,0.47580346861423645,0.5654020498518799,0.49061208140238793,0.4505377072583794,0.42871833607961524,0.41911888371449324,0.4470962646412299,0.43178235619211125,0.48281629531918846,0.4850458070656381,0.49805993180495456,0.4965007558894641,0.7624243172626332,1.2890095893606373,1.8384163093477062,2.1114695497706997,1.1226718546708412,2.5018080355096646,2.585175942140704,1.3321422720243337,2.1904443108453284,1.0419628893716129,0.7100522573305058,1.4604640768113546,0.9474634080343698,0.8149982519532275,1.7742298703383643,0.995157969019108,1.1284085592008473,0.8440053886680674,0.6537554222125584,0.5839578452170492,0.6900594143204399,0.6260033515215544,0.5534480039771642,0.7130150010269941,0.5314100072425179,0.7378888085173072,0.6382276027924672,0.8228541764363323,1.1102579246121544,0.7987605024550145,0.8985801967406868,0.5921954058987382,1.1542231211055964,0.49863546131462205,0.4744834408734819,0.45714152159623545,0.5188263052485581,0.4659434061042506,0.6360544795366613,0.994914870818835,0.5374338896538052,0.7389666901380616,0.46268893963634405,0.4497971236970868,0.46853053777865206,0.44387264343371885,0.5224376991155175,0.5182702045018233,0.7854758933685636,0.640199601118762,0.5420572813510249,0.5192702489428954,0.6333792120893695,0.6224718681560366,0.5436991396389738,0.5053450955435577,0.6860233309719331,0.5192724080236456,0.6330902619637945,0.5155398991346576,0.6372729263922836,0.6735356301655515,0.6614087728566542,0.7731905348918875,0.7858089411686489,0.7770556734401703,0.765031324410695,0.6282366580686681,0.5140329012501687,0.48704891636351233,0.42885062531022483,0.43076382855293815,0.46130087269549447,0.4049671526026544,0.5034137144136818,0.6579402291062914,0.47302530504240764,0.4970494833909693,0.4307562335953726,0.41802907951174134,0.36469202777158216,0.40917310970327236,0.4689808998956815,0.5515405013600291,0.5693788719070626,0.6684166675672464,0.7089701953184816,0.6716714650963297,0.7081814394213715,0.683214772247096,0.6894489514097412,0.672414275779736,0.7528659555212626,0.9054953350469576,0.6920193027991131,0.6218867556175746,0.7269441104906177,0.6467320395536276,0.7794376142272043,0.5316882055312155,0.47238865207470554,0.45002609132634236,0.46269640926983546,0.42676515519510927,0.4694144070831641,0.4383380442094479,0.49263455264811695,0.5712581803652556,0.6324031468627134,1.1560232294348511,1.4666457951747283,1.1285243425833145,0.6085453295484524,0.47888530252110567,0.5526703358513265,0.45447051709290065,0.549476609044639,0.49143635182954126,0.456894036548607,0.5103013842947818,0.4973024069549179,0.6805280383719021,0.7338274237967157,0.9375656028329131,1.4038096499343011,1.523133824415295,1.3180660753668276,0.9728768204191475,0.7538058704465384,0.6663261900480534,0.5315453496388235,0.45442900437247497,0.49278063288256885,0.4770677687235142,0.6460307667392077,0.48375820536338277,0.5893616956456763,0.7472251373218542,0.6182478173620423,0.6388761921587701,0.6284836023996765,0.663117448504596,0.6490850021186071,0.6647169515182515,0.8358776921616176,1.5964220076362947,1.2100027427091873,1.2837869798237922,1.3144922029923025,1.2384470893567285,1.153410136418044,0.9267632743004228,1.1694778566147677,0.8312473092044407,0.770208925622753,0.8808221950660895,0.8259281037684384,0.968598007839813,1.0952490996808955,0.9383371669500816,0.9937117064567431,1.2580257694014876,1.4235227833599557,1.1569936634710796,1.287768891497824,1.712561554324418,1.6750539196378733,1.59322928962215,1.918971603684385,2.2042161156804703,2.0638359336990093,2.083708909328161,1.8215528125794496,1.9736596428087052,1.3337354425391017,1.3213821048522434,1.605641131472103,1.4835084699704644,1.8194358773411552,1.630543305732034,1.8926020440900762,1.4478072643214366,1.3729269253258036,1.3126555658491978,1.1327017181781254,1.2371252178515924,1.078428126678908,1.032175284938447,1.0924068279494892,1.1559118324189266,0.9812401512140053,1.1758556201457453,1.5424779027787492,1.2877255584182568,1.304043177872167,0.9402139226762255,0.850592895232432,0.9919561497617954,1.1558514452454494,1.3530694022902001,1.4969960712654629,1.5739210843102254,1.403387285089044,1.6119980756626306,1.7124351545524046,1.577332753043095,1.670082671929651,2.0163421292900425,2.16391880128457,2.0110507787484697,2.093793291024979,2.392799325902005,2.4941345998513373,2.228060828903041,2.2607367249231016,1.954163442142599,1.8498389336370566,1.664509135319516,1.5311290303026457,1.62821675611098,1.4767293331714464,1.312015991895629,1.300542123935985,1.2999891393130392,1.0925877078529063,1.178015452080046,1.3404316847358058,1.1492566581750248,1.1724416868169512,1.2350944728953657,1.4558050759072632,1.3007185730590471,1.2093689309836477,1.4592617099100655,1.460261545873616,1.357024878116712,1.1493765309363697,1.1412283845438222,1.2791994549837946,1.0658120817758943,1.123125416229094,1.237832265289638,1.3018140185285076,1.0698947745949847,0.8997553174088514,0.820377521118255,0.9302235455975453,0.7427738784357347,0.7083948140537788,0.7358525387054283,0.6857557704885108,0.6911796413309363,0.7025758553816653,0.7214157556258048,0.5909961503636523,0.6877770380598801,0.9221502792468265,0.9023649769181674,1.3362921004327861,1.6824402318036593,2.909408229525904],[1.2120259558424378,0.6155158337809594,0.823776483492705,0.5437206161321285,0.733747414814202,0.5926367795859973,0.517498598847459,0.512125447618527,0.4822199250011036,0.3658099437799794,0.3839450124537047,0.4988368703318781,0.38060591939861993,0.3448654080440519,0.4563274288412131,0.41074937961554503,0.4095483697856578,0.41594643174572543,0.4952870410688842,0.46693111204148857,0.548323642626984,0.5932222951044052,0.7626991446699344,0.8436655444634907,0.8266659531970714,0.6533410474116121,0.4664268687490002,0.3993684181551833,0.3926388323762975,0.3908353968444642,0.46665266149815016,0.454498252594293,0.5510454164115994,0.4674849057584201,0.43228501247541073,0.4179029564998329,0.4166938830052904,0.43195242681089474,0.42926973234455656,0.5016807483533156,0.5015237563173085,0.4900616022541371,0.48911503362820563,0.7801110891397389,1.3038776239419956,1.8391610025841227,2.1389658018855293,1.1395995776871293,2.541243878510274,2.6746404915219135,1.3941546865826175,2.194641867441538,1.0337714120075396,0.7036916821191137,1.4466733823580862,0.9520514575563812,0.8981499025449895,1.699193569858249,0.9490181046125408,1.0866601746537419,0.8051653263607617,0.6479607927957026,0.567917445321771,0.6870816444437995,0.6190218498538379,0.5439617282727292,0.6954398351512212,0.4971915617286133,0.7232075052886445,0.6101031481960452,0.8125677177158896,1.1148494435886391,0.7848643607622623,0.8781866605539218,0.5749547022088859,1.1345041948635886,0.4734479065151826,0.4579039293338799,0.4313985181341264,0.5004750495922348,0.46709403630094043,0.6248341061085522,1.0138378705837634,0.5435389544531274,0.732800988158682,0.4816643260403893,0.4529572079346418,0.4819644149290831,0.4208829404447959,0.5102994979700763,0.48853190254886264,0.7653153716538141,0.6093719554266949,0.5187329987098166,0.49304730141216596,0.6155949743188072,0.6150474978494616,0.5285872176869377,0.4919496156205375,0.6704556506771768,0.5079209250061021,0.6307292877097711,0.50911977926395,0.6680500242467134,0.7026339103044302,0.7079636241925062,0.8194348543999117,0.8484401064391947,0.8520406632179399,0.7913932655344811,0.6501050326113343,0.5238938540923251,0.4935608972998507,0.44338006920080325,0.41366947364657286,0.4785296514231006,0.42799266056496155,0.4996632952195898,0.6412396956407439,0.461520325951334,0.49178635718302893,0.4227751100388539,0.4124713605146007,0.3652381648433548,0.40162747506251256,0.4900706497503018,0.5539482231428697,0.5922562746154064,0.7095609477246235,0.7348781747451347,0.7327994371801664,0.7835493788437418,0.747968730772501,0.7161069187163948,0.7204991465984066,0.7782875127030084,0.9410259949555784,0.736099557263011,0.6509211731729431,0.7231858973003157,0.6654706743364943,0.7757037171017243,0.5232906749761678,0.48508017410878806,0.4617812634789439,0.4533230892730768,0.4320039405238053,0.47061151145987307,0.45107295396791913,0.4963142326325082,0.5695216988853501,0.6198008982339049,1.190722778369692,1.432366127353265,1.0724455830044723,0.5820865394636527,0.4697830760749111,0.5575888493315165,0.445211669965478,0.5792202026941718,0.5061101019222188,0.466287220894533,0.5291874534526495,0.5177625327297992,0.7117028392682223,0.7936494898100813,0.979673306714803,1.4556163062331051,1.5889170075281256,1.3528696474971287,1.016229025017781,0.7995357066746828,0.6955103719742565,0.563796758990302,0.4748183239818523,0.5169856433461748,0.4733682273433459,0.6486525693613429,0.4960732156204248,0.6106655915377133,0.7815131387264334,0.648117448523253,0.6774333768950312,0.6835137397101847,0.7136795983697174,0.6734890331926506,0.6839289962466718,0.859815220459032,1.6021642742042697,1.2394835301423204,1.2797157959530614,1.2921222876298308,1.2366360761461865,1.1565937978837009,0.9457871861224051,1.1739713191749772,0.8852262455330167,0.8504614627615352,0.9518313889082642,0.913715997542015,1.067255171341854,1.182148000601783,1.0148114705567928,1.0778524897335633,1.3468603703945192,1.488263565726169,1.2142101809223118,1.3705739368440262,1.7996101692018902,1.7268147833894452,1.651058827165038,2.0059955259691975,2.273726335796326,2.1251082364043623,2.146982859114952,1.8590459064755067,2.0753941074302173,1.4153575334670574,1.4103234337647337,1.7149214759584117,1.6105309544797497,1.951199971652429,1.7625857208841311,2.0148892456168457,1.5696708294996682,1.4995853555019738,1.4232198674213055,1.263905246425987,1.3554924955857501,1.1895337997310158,1.157321737003279,1.2095172276823964,1.2423159498322636,1.0823145626842725,1.2551437621040729,1.6196929393600554,1.3593978697641802,1.359229570022661,1.0219849504945537,0.9422996405413008,1.083790533902536,1.2614354464464037,1.4445161791633678,1.58518994701442,1.6496989381321894,1.4851523198000194,1.717832542320324,1.804444209484368,1.6366758048287353,1.7468655939607074,2.1051728814705517,2.2432400368468794,2.0901475920523005,2.1986787012978626,2.5079619339848347,2.5774404257999532,2.339219291423118,2.3913379840860163,2.0751067257910005,1.9722732638276113,1.773790863655253,1.657056163812988,1.7564038979933132,1.582548787520332,1.4226971451632069,1.4184779980501134,1.4094757863085832,1.199577986903159,1.2963821214229145,1.4359619389434102,1.2415405571334444,1.272915297336009,1.3433150840461499,1.5518034998059473,1.3904305722907115,1.2946469512855874,1.5602112511907087,1.5457282022343264,1.4404257095430577,1.2101227368049583,1.201269091078207,1.3237556903779926,1.134004922727315,1.2050770445052894,1.3164086105421429,1.3734953585882859,1.1386084449105893,0.9791370043429883,0.8929865404882473,0.9496924277617367,0.7985048704323724,0.7469406706605972,0.7801659226421835,0.6962576009262996,0.7037775286287364,0.7201545383569559,0.7251639039166121,0.5790493499527085,0.6513662283305314,0.9692473950139131,0.9574161134078831,1.3566766496709035,1.7384117990936592,2.9780339032259517],[1.2611170269453973,0.6526909869653481,0.8230465235123358,0.5516350008012816,0.7521787533379372,0.6443256820988114,0.5825323827322625,0.575283488434859,0.5459019969754552,0.43772398945154734,0.45627091859314023,0.5783642538880162,0.46598248808182796,0.4044880363230369,0.4957941665116165,0.48181747598060704,0.4860561603444169,0.47637652012850984,0.5035196468627434,0.49090419470629937,0.553021683443862,0.5991600458613923,0.7282605950512425,0.7907614710185747,0.8374248239434031,0.6494881437905732,0.46874885096873764,0.4207537979785154,0.4469494041670433,0.46231220799395645,0.5256120528999985,0.5153473408714517,0.6016077505890516,0.5154038374870671,0.49828652842016785,0.4830120913101694,0.4985056160116451,0.4658702151068756,0.47329555999694606,0.5429872725464546,0.5068382252267911,0.48098720984274357,0.48239012555090943,0.8024788734918877,1.231346022552655,1.7931808151021147,2.061703404152679,1.0891453669181206,2.5921950254941035,2.720479783555253,1.4103285854034466,2.223021653900229,1.0029178571101376,0.6793233922943059,1.4443492744972624,0.9914914189744772,1.0345778034770339,1.6092275964088698,0.9106024400897804,1.0591788622677618,0.7854779486794564,0.6607651984018794,0.5997573145342832,0.6757424837597366,0.6117805328568917,0.5554690396616728,0.6932439059757307,0.5016756477948323,0.7104253947898825,0.6131548638403054,0.8221437522715405,1.1050288316594614,0.7857868296149421,0.8495347249686198,0.5861026033175579,1.1384249355177658,0.5007185791537374,0.5005525013118622,0.4730000257632151,0.5362417214389578,0.5354127561408601,0.6520338773655036,1.0705416460541666,0.6034115477051182,0.7729263848462757,0.5460324769876569,0.5052469144795125,0.5485193117541801,0.4673828287925114,0.566021470686316,0.5243064514461052,0.8040619303463538,0.6327072943324291,0.5584668746562523,0.5401729934794025,0.645275031401294,0.654098525208664,0.5893503406638987,0.5578523303853504,0.6903742648967155,0.5674906082617078,0.6853849587557345,0.5716354664200238,0.7305058144015318,0.7633638417836034,0.7644358742596519,0.8708283570883664,0.8734128299950267,0.8977036205057178,0.8357676229071316,0.7021604870285778,0.5854483098262879,0.5540066948104422,0.5037598254199765,0.49333949926446985,0.49896472120769336,0.4592855455457607,0.5210144255780965,0.621117503242556,0.4846067619822539,0.5033693609448446,0.4633131931281312,0.4256388685851218,0.40824807005296615,0.4664676246863052,0.5281928200440947,0.5968317121214044,0.6357861248543861,0.7566963401197985,0.7903027313612797,0.7479940667890494,0.8038117909214347,0.7654395783713205,0.7526798512208178,0.7592801213126371,0.821010034350965,0.9790881241716786,0.7653352810954882,0.6648196767723463,0.7005016327400758,0.6322448140883881,0.7203446573130456,0.5210873447493465,0.49355438615448555,0.4886950706404711,0.4924706776644954,0.4825174850435399,0.5375473732191121,0.5224424244464295,0.5546609317220986,0.6199454489612264,0.676449398411223,1.235749617668033,1.417666051061697,1.048538954639859,0.6316972281664343,0.5358664562656394,0.618752499129016,0.5159152668217135,0.6466964607070355,0.5685040798277602,0.523056264511172,0.558695722404353,0.5607736540424137,0.7640087589679508,0.8176514252701707,0.9989487758659926,1.4471857463151703,1.5973432904401195,1.3861033398992164,1.0504853011079014,0.8362211038994681,0.7366989062301085,0.6183939505296778,0.5360215563453552,0.5890285434224642,0.5525272431792597,0.732258275654897,0.5617182729463481,0.6948078022247934,0.7799313392310977,0.7099950227828418,0.7167759982536697,0.7066246068255894,0.7366116993686348,0.6701212417346367,0.6867551070389178,0.8372348360006812,1.5994112085288184,1.2329854046240292,1.2303883775298405,1.3275132775491276,1.2644729001730772,1.1746410709441308,0.9252364217404414,1.1110635493508831,0.8779575925624022,0.8361227316101448,0.9314062896819103,0.9198001469375443,1.0881628087457187,1.2249183378707713,1.0426192174849702,1.0835344428462161,1.373122880500245,1.5143526361759911,1.208937967316176,1.3673034393337289,1.821338597434874,1.7285576720511093,1.6293525299656482,1.9867282852073642,2.2679478630927314,2.0649759147813436,2.0787294631898066,1.7991215913206808,2.017286979391181,1.3545729397427502,1.3733400665071172,1.6836635544638563,1.5763911620420812,1.9076877143343451,1.745056355415673,2.0418387615604385,1.5840638774490754,1.5342260966766308,1.4765595981844912,1.2978628212288443,1.3771024784482102,1.201636773781762,1.1725775860837224,1.2059374402528606,1.244145625542119,1.0563365999502823,1.1740855398535048,1.5366946204415024,1.2854116484236993,1.2649210661126375,0.9883079856451442,0.9669857943692457,1.1133294090110253,1.3108083370098578,1.5128759769268383,1.6648236090151873,1.7295283450243657,1.555137903465769,1.7779526463475652,1.8692906579548516,1.7053224461364913,1.7958327303642412,2.153252193971514,2.284722795702102,2.1277183270055318,2.2276225848350766,2.526348642847572,2.598745463064124,2.3433227746028287,2.3947634945086316,2.084680595979922,1.9954772054393872,1.8087141406714915,1.6863179783859392,1.7655822608598273,1.5944667903887915,1.445325616627059,1.4144700668186747,1.3935089919525607,1.1885632932027506,1.2618848920261798,1.3813066760688746,1.1867050827548262,1.2024683722201712,1.2518774086226339,1.4546776111018416,1.3004933628923585,1.2377233926159197,1.4484885097920086,1.4773625627176674,1.412194616768051,1.1686004174722076,1.1604011376915562,1.2811873472048758,1.1046181651923441,1.187748166856004,1.287687434022645,1.337864698093046,1.1133758225503547,0.9676834506427133,0.8869996218397879,0.9796758451471248,0.8025552142584286,0.7772994163801814,0.8056917012107132,0.7235126199997088,0.7429624535521611,0.74483947823426,0.7492492056896695,0.6236868979015756,0.6760356638558734,0.9727823058722397,0.9750548570012075,1.3604079909846167,1.7512215358747463,3.0038139517805105],[1.5587675253751048,0.8311944441011803,0.9021335484923039,0.5524847140051258,0.7790500946243573,0.7372591488850125,0.6593688908527301,0.6690169168575075,0.6256119649463964,0.5147883833267363,0.5315888332097708,0.6457868855902918,0.5377555720684452,0.48105813060177804,0.5494593565139513,0.5395100566610134,0.5113202687128652,0.503642157727699,0.5267598845607249,0.5189394348308102,0.5658641338591596,0.6170465444833689,0.7086812603925853,0.7935985132203884,0.8223457535579405,0.6634755965751638,0.48525903054689823,0.46055981256869016,0.4999262492357032,0.5359168041622967,0.5842754329095385,0.6159206965172369,0.6979383756197005,0.5903890626303925,0.5733801174199308,0.5369507429235626,0.5554965662775005,0.48315327276102604,0.5133862858689071,0.570566523120423,0.4962121867122802,0.48687313468233123,0.49010721546593694,0.8180527166938558,1.1807857839297584,1.7952837510512134,1.983085043200704,1.0453767026893823,2.5759650811651267,2.6308556020133222,1.3162348535920982,2.278056346088893,0.9883923282045508,0.6186771234542031,1.467739528790946,1.0089989687775551,1.1722743046487163,1.562438198792713,0.879750427436623,0.9946836175021775,0.7544698215605268,0.6630228952098466,0.6616037225181692,0.7038626149266459,0.618464504023369,0.5701566119761432,0.7204057943962996,0.5633929748808185,0.7386926121221875,0.6483536761476466,0.8657879349233415,1.1917143165933264,0.8562779466982826,0.899398897015636,0.6392282366236922,1.1846039910724564,0.5549845809000017,0.5986180937313315,0.5589440163268551,0.5488531710340294,0.6206017962937073,0.7198050324259015,1.1222361424236509,0.6661375526711206,0.7861293489577023,0.6090610062506894,0.5523476735972991,0.6068474620103127,0.5081743650189434,0.638914158971384,0.5873468810802197,0.8239791794907034,0.6806589466321531,0.6318175877794968,0.605790787429708,0.7071424927750947,0.7011172879678431,0.6697999362530054,0.6649224634967832,0.8206474570342299,0.7027606387528129,0.8056887579095962,0.6814390593803156,0.8384146695736427,0.8846870505949794,0.8402124489290429,0.9662069770748323,0.8953596656268444,0.941763124740978,0.9222454226414127,0.782766554854537,0.6632882581107233,0.6235726321122766,0.5413140619836281,0.5315491687668213,0.5253264706580519,0.49089824573202234,0.5402974175737651,0.6280505400531353,0.5140945245627276,0.5166376252769015,0.501029595066055,0.44338449356424514,0.43413382795844435,0.4890975427949536,0.5506388945679659,0.6843540138368821,0.6794736134702997,0.8305116018921115,0.8920362052072878,0.7995449612361565,0.8565464236640371,0.7934076798795605,0.8545872001674722,0.8014155600872139,0.8492895835176467,1.0284713138235382,0.7736955734684433,0.6636058231235098,0.6819381085559697,0.6297660757419765,0.7043512503376925,0.5474669744389611,0.4879929853038708,0.4911746530694153,0.5212600647633425,0.4996703660704826,0.5938066994378144,0.59382051053655,0.613219339787909,0.717790097070117,0.764576588287801,1.3472705585380669,1.4744427128192836,1.0895469581034922,0.7595861184012893,0.6741644986487274,0.7593323550661752,0.6348948884321705,0.7389927694342283,0.6360348679940514,0.572059844517398,0.5810096887073565,0.5909771822244516,0.8237672420482273,0.8008685311339961,0.9798101756516983,1.376849683456818,1.5573987086004306,1.3687728153220484,1.065335036032098,0.8548303052756941,0.7804197544408821,0.6547217157856657,0.5913795302407907,0.6871162311142142,0.6361641391846552,0.8606702040409339,0.6339764729224703,0.7922876242604612,0.7550996219791539,0.782358623441405,0.7641652086345307,0.7292149613915888,0.7479516552966332,0.6587720908886021,0.669115167097945,0.8145363077618417,1.5592214925502834,1.1863449981305356,1.2581581477504333,1.3410281282192864,1.2481732115338702,1.166052776734192,0.9281042699792501,1.1091420074419989,0.9454032865886447,0.8778407172072097,0.9604864609403513,0.9676699911516927,1.191918275035708,1.3670573726049973,1.127857236922499,1.152317210949939,1.4980140799190935,1.6123076187277114,1.233535605427981,1.4217648266502276,1.9531360438189596,1.75367143067478,1.6264296065517845,2.038001267180571,2.306715894223226,1.9340375517432877,1.989879788657847,1.7215471049948694,2.0176194012468764,1.3813832025303645,1.4154822507040477,1.7681862872424259,1.7017621654561887,2.030677143411717,1.9032176503760025,2.234684614728336,1.7626337201766553,1.753892491425472,1.707771773058406,1.5032880660207537,1.5552917107328788,1.3367129251243117,1.2971999878124556,1.3036953980397192,1.3223300808236782,1.0976078026497968,1.1722111944514475,1.4990389955527992,1.28197997589194,1.2256684216408347,1.0165412079948069,1.0674983541337686,1.2456921652349355,1.4840348518960003,1.7359148132197475,1.9544337751398817,1.9928327935787211,1.772891876360564,2.0349970374114994,2.1604692489645205,1.9175974329034204,2.0152637735350543,2.4303465656661323,2.5524637122278993,2.3223210882613468,2.4602966809500444,2.795858897606972,2.7987684848119936,2.520700225838286,2.630102333341517,2.271021331197942,2.216950207674409,2.0231233485670783,1.9029968893072635,1.9568476745330474,1.733320886496578,1.605543694112245,1.5512718221670956,1.4982543390506706,1.2720710922500995,1.3428046474347262,1.436231100242723,1.2230816384371102,1.2234816036845566,1.2721217247972005,1.4559067579634128,1.3089395756319586,1.251866078474127,1.4648958304271107,1.5100588225178129,1.4925162973106356,1.1957656275286885,1.1603231885371694,1.2373803314133238,1.1319287939337395,1.2094004498427589,1.3082251605727986,1.3499611750765255,1.1258435081036462,0.9843129093591434,0.9165433068210177,1.0717143935966922,0.8615076610810254,0.864167782009267,0.8999425523088557,0.81398846009601,0.8496321211280496,0.8707693879428301,0.8614214802057055,0.7652298831161246,0.8149141463314131,1.1528762755501853,1.2004023383723874,1.4957481402731534,2.149816032288075,3.34940505883219],[1.5653667361227004,0.80695823924264,0.828565434813101,0.5568117486945486,0.7714653406820682,0.7871275549089245,0.737391985822728,0.7467387248795013,0.7174771015673527,0.6300371878919483,0.6394055825052563,0.7558259595883456,0.6547699953585634,0.5979242020540495,0.7005207649431706,0.6781483614086028,0.6447324315124092,0.6528760973810239,0.6291531028047848,0.6508697359537571,0.6733126032502598,0.7081631003540447,0.7637080222194507,0.8726246412750172,0.8787641264761791,0.7385289768563202,0.5872581825413237,0.574096955717905,0.635838554086875,0.6814331939700704,0.7405133855163991,0.7578060977603671,0.8404303871618974,0.7433491284237164,0.7197697164163479,0.6779461053206695,0.7056584649681071,0.6233089017729051,0.6291365648878949,0.6783369196266085,0.5799530546060092,0.594190441380098,0.6044961185652895,0.9474365001616893,1.1073847941248165,1.796104022964638,1.871636219860444,1.090203332314909,2.6401968845953045,2.6325931339748836,1.3353273325721693,2.375841966258222,1.0073985755450903,0.6755949986794987,1.4978591956503267,1.0772352771411056,1.3829307183516881,1.549512659804916,0.9564884199921789,1.0183669407469982,0.8186684204326988,0.7782968844944835,0.7845502902117307,0.7603552878254268,0.6805852131485054,0.6750360283258767,0.8163898446554807,0.6714326614865569,0.7951522812787831,0.724153289776209,0.9059879468175072,1.264982217592883,0.9177668186741833,0.9531515488539456,0.7481451176414021,1.2851364952749729,0.6772010344443932,0.7260818678024954,0.6978073734337749,0.6779376586615286,0.7737442652885791,0.8342215525591281,1.201912857337733,0.799475031235995,0.8898374549136058,0.7530852181124312,0.6938718170498777,0.753410922084146,0.6535560960731889,0.778778005722047,0.6966577010792235,0.940979043834527,0.7976535078768459,0.7897445989493896,0.7651121112618106,0.8495838394928865,0.8482130755661926,0.8096101182443832,0.7897286471466715,0.9047944055956655,0.8201265342433228,0.895275885014238,0.792950459954927,0.9220621512063308,0.9747000676261321,0.895787966109921,1.0481061451420581,0.9297567788805942,0.9800045367747924,0.977930714271397,0.8406314242597396,0.7444269340592944,0.713247362217973,0.6366416339760597,0.6604512291544974,0.5898092460575038,0.577820208461241,0.6461063274593676,0.6707845236578055,0.612524499122721,0.5764312588547194,0.5943306250024559,0.5239318009492899,0.5192021726316444,0.5867304632751177,0.6309970852558986,0.7755323139617651,0.7377285625056531,0.8734371469462106,0.9605305027597464,0.8280825619101825,0.8808654255458114,0.8427111020906398,0.9410416603617767,0.8773350259509651,0.9286090353188009,1.095502554991062,0.8677987540426503,0.75305755163421,0.7346141841824814,0.6366348076071922,0.7349357404211753,0.6398643998732182,0.5722698254290494,0.5780594091008286,0.6209163701609827,0.6026181345166108,0.7066156761970354,0.7095944274824088,0.728334414960899,0.8031158293849329,0.8553862957257524,1.4258622761017543,1.5331154611782742,1.1340778589732425,0.8682393799937008,0.7885835781632498,0.8616698832467758,0.749837393639366,0.8415935371275621,0.7403606563962603,0.6853785541047334,0.6701249525488543,0.6846412795021927,0.9350832400146425,0.8195683994292685,1.018650340747821,1.3639783998001478,1.5545475407320517,1.4023135050711992,1.1195755161476313,0.9246038124172439,0.8719082277710595,0.7318950108858538,0.7012514742745213,0.7887648705958155,0.7458365372823916,0.9637709932360549,0.7501444531488606,0.899448742631845,0.7798251149253388,0.852358602769227,0.8287760919982315,0.7832344861309114,0.8050549155232929,0.7358479827925523,0.7353499511822799,0.8521214147365712,1.5975247280935019,1.244106012333788,1.2819792540642574,1.3739997040093066,1.2617515250289475,1.2039422497015417,0.952986728742113,1.0614631804300392,1.0024839869366677,0.8600115956632287,0.9148016384535034,0.9529236476596381,1.1908664191240634,1.3967064045691064,1.123634019835644,1.1149810047586426,1.4993586456801158,1.602190683647887,1.1602905244564816,1.3518405521914432,1.9348028327029416,1.665565846509614,1.4974132269993652,1.9185994337711327,2.1898841860223635,1.7057357022978576,1.7705500515565293,1.512553028030627,1.8661186050069953,1.2305055957361417,1.312982828319996,1.6816622820060632,1.6382818337899887,1.9967214471031065,1.8735942486957746,2.2802492155392,1.770575156850534,1.8006008478187578,1.780375088945767,1.5751717271382288,1.5627115128430717,1.337825161102029,1.3353145966679492,1.2889038725167334,1.281308133865389,1.0578506006297912,1.120284923806569,1.3168314977842082,1.1488885417545578,1.1051191282941142,0.9466436842519138,1.1018018706250525,1.295168062758168,1.5474103361861486,1.8419121608884743,2.0782236716614353,2.127124517273604,1.8671909245340796,2.126373712351533,2.2791820229481994,2.014033835909154,2.086697743362585,2.5188757353710667,2.6398919470755082,2.3541007975861503,2.493577636509118,2.8444046481890606,2.8111283234903994,2.4969380957462146,2.6290857828080796,2.2512603048934783,2.2322684769398755,2.063739636819251,1.94335980941891,1.95264551979025,1.7096838019512863,1.6145277679526715,1.514986106511773,1.4323203361077554,1.2134709536558832,1.2698629597955642,1.291205094862686,1.0897856662506102,1.103518447076918,1.1130864025466825,1.327398303966554,1.1662304118740234,1.1241796154788466,1.3173172677210032,1.3915255476715636,1.4080168579618433,1.1069016965563274,1.0374187103556693,1.0741740307561702,1.0478202193166053,1.1128239764181334,1.201263664160592,1.2661539000737136,1.0363121531810016,0.9165500874945187,0.8822552956083585,1.0997624293679933,0.8231295411520898,0.8866090971373303,0.9110451083852804,0.8593142983680708,0.9063167539660605,0.9159225340492088,0.9035067811729286,0.8436962443083731,0.8141820922123121,1.1417388395778365,1.3025189399295556,1.577202768050122,2.398119368815529,3.5963689590605736],[1.8715333794098699,1.207250428729438,1.251165079931144,0.8253090935444247,1.0168963955913983,0.9686775163840172,0.8648132356526833,0.868584596269376,0.7577530251991882,0.6552468859458698,0.6678370130767384,0.7533807292146675,0.683455962685427,0.6275660541699842,0.7032928109047087,0.6863273941574359,0.6815299377527131,0.6788747555897873,0.6895157361802999,0.697001215743303,0.7199709405328916,0.7467774795756186,0.8628604032219945,0.9423702754456563,0.9790987299344961,0.8423681140331272,0.6708071093943866,0.6526817049142537,0.6836970979139072,0.6993362643354438,0.750603325625398,0.7542294721113703,0.8425335373423694,0.7805040812483147,0.7268758005175328,0.7020201689650724,0.7240213666150933,0.6772650330963115,0.684350852061635,0.7433064820686673,0.6821523484166053,0.6712625169972997,0.6842843744073968,1.0104579372251017,1.2016124727341613,1.8634440435804895,1.932246759746977,1.1450630032311657,2.721122184884159,2.774814068380246,1.482776147719312,2.435709152294249,1.0604428525334328,0.787677362361294,1.5403720328503756,1.1290735653351593,1.414284311203065,1.5793109439900777,0.9927715115553688,1.0510267146135501,0.8408126686638695,0.7918844440188446,0.7833575803390241,0.848755867022151,0.7259996140871666,0.7146151202905123,0.8402442156157861,0.738729513441482,0.8689053092143751,0.8190088756202436,0.9942254767292987,1.3547993044244853,1.0142918823209617,1.0289638993724284,0.8293184775380513,1.3351870445072942,0.7193606496366063,0.769368351341,0.7243002081913602,0.7356777099825426,0.7964828950009393,0.8736321754189535,1.2596528973337178,0.9053915070982527,0.9359076296587098,0.8080097606832785,0.7365749782323654,0.78094691281453,0.6824972544981638,0.8084200431586247,0.7554200429305817,0.9549495720489264,0.8414165459644802,0.825943569777684,0.7881815490925282,0.8861538769693584,0.8902338584070758,0.8246725400616747,0.8132426486395711,0.9280940567592496,0.839104201269889,1.0096659533060945,0.8623148428483044,1.0359625625890467,1.1200097656450814,1.0540073802535164,1.2342219690486187,1.1096539946007757,1.1574576637460448,1.1741193350358239,1.029569519395735,0.9011214465901106,0.8321701255568421,0.7637052716383601,0.6953000531852539,0.7111347599339866,0.6728301938228276,0.7530846061621593,0.7723924647912797,0.6737914908458961,0.6713935752886839,0.6506794001080076,0.6546305236685974,0.6355771884516707,0.6892045149441802,0.7849916821910485,0.9301813094557785,0.943048208036565,1.1139785324700036,1.1849535618721796,1.121655766214686,1.2001611625452668,1.1127222535508277,1.150809452822813,1.0913013417395003,1.0865968649894144,1.2613985154466942,1.0278427049318926,0.9084792553422557,0.8515312698833419,0.8104527119001772,0.8676408531090367,0.7309817784147047,0.6707282574260706,0.6708013421924292,0.6738584281694366,0.6948483211319604,0.7711124609757882,0.8063899442390429,0.8139252410889519,0.9278924607166132,0.9404340519900543,1.516783006356113,1.583592760802422,1.1682110006106832,0.9586337112281824,0.8459321803151459,0.9539932555395836,0.8157063307814892,0.9600261572206362,0.8543541055294936,0.7501704016133923,0.757795403178135,0.7616319642993685,0.9957255355631759,1.0094887581151488,1.134722625278763,1.4882831101693355,1.6990141149916076,1.495815725173192,1.2514839746042015,1.0594604294564671,0.9849743343226584,0.8757533491534069,0.8260812090055248,0.9022632851463973,0.8139576524613145,1.0064014563003276,0.8546035580213038,1.012807903038549,0.9496898409631389,1.017418885307688,1.037380303060195,1.0037698968793598,0.9867973023152686,0.8778309274181209,0.8302475518684106,0.9654698673354514,1.725656529606452,1.4013750622257535,1.4016399492845342,1.4603291880657052,1.4170103453608884,1.3787713438543194,1.1810053623282835,1.302255655994561,1.236489113738395,1.2119945779199597,1.2997796604614535,1.3075390121034425,1.5676179202014804,1.7074506654427055,1.4423245518670897,1.5036113850227617,1.8616742420452754,1.8905342075854037,1.546564544340984,1.7798376732169574,2.2863358841549046,1.9876214377086465,1.9168540857993945,2.358975811863979,2.516159641578747,2.094991438002263,2.264529907401056,2.004280907174725,2.383528233349945,1.780229430706476,1.8352715216777835,2.2098411041436177,2.2099659755348235,2.51690073170377,2.4555209574974257,2.706360122823944,2.2510933804725752,2.246851092753627,2.161281667559452,1.9906361033370157,2.0471950443486318,1.8045127054409384,1.7584694092523765,1.775782557896063,1.7746389287144777,1.514736270800446,1.5158047507597923,1.731753969830258,1.5424111863973133,1.4582703659282092,1.3771806269815439,1.4312519371428678,1.6405709205829717,1.8934476799598723,2.1150751407167547,2.3906033053583795,2.3553353808684676,2.136517338581345,2.4350537892561164,2.5186476183801814,2.2084853372780024,2.3496467731632844,2.780739671127645,2.858301414158186,2.614148793073809,2.8290530346386213,3.1506135785317415,3.0616049204616034,2.8694624211550406,3.0454279213746585,2.6833540149831063,2.6548694891260944,2.444219263482214,2.3793995478275494,2.4324496922946532,2.1535285928988657,2.0717844593693284,2.0370442055927933,1.9590285338792564,1.7039637265826022,1.8048200377839607,1.8663119364693057,1.609126954025061,1.5485218338016926,1.6308535799271195,1.729924366963465,1.5948817468768512,1.538488242457096,1.6770977963610918,1.6946639235488685,1.7880904770281694,1.4945981644600084,1.5069398821002564,1.5357618130349164,1.46603795114435,1.5134749646942636,1.5408688326362066,1.6060245082996885,1.440852876892196,1.2718350983708813,1.2378381542109496,1.348784877676409,1.1985970825166918,1.1883696970122315,1.2505058354071616,1.0921033722376663,1.1287393973977067,1.216912997516183,1.1396701241642966,1.0032295466255507,1.0923605256984534,1.3384867805058829,1.425634586351932,1.6301706567140084,2.561748131459309,3.696956101205996],[2.4343298309791246,1.8507742902021587,1.930967565738493,1.5861638668795015,1.6710782968452407,1.7535205292193297,1.6645556825532686,1.8256975512328337,1.6528280672046998,1.4913302739010226,1.4929874991228338,1.6986669662370641,1.5400590345774685,1.3629614941784416,1.421779358351616,1.4867047369458286,1.4355490531424224,1.3882140537670629,1.3586290713336826,1.3995816843022761,1.3957216269778498,1.4083864226290077,1.4039737159853325,1.4891267925176646,1.4132401695638206,1.4085591599393001,1.402225891046688,1.3984261598609433,1.4348450678955946,1.5398162089108527,1.494926321186748,1.6469020196218735,1.7363595380077617,1.590512990627535,1.5687862281835256,1.4864048666864766,1.6207142714146154,1.4788110817941993,1.4813981710711073,1.5120833078443316,1.4839604609503798,1.4509585586906804,1.4450798342632347,1.7516384616473437,1.9080212479363754,2.501624199017702,2.610542366693212,1.8809220240297073,3.3034595808019493,3.3329246858354833,2.2574574660385367,2.9546526739307266,1.6098999271979235,1.5891314552675082,2.0393965409240247,1.719959733807433,1.8534433918783786,1.9880798359212704,1.6574127459588786,1.759504141222171,1.5947904148383634,1.503555204400141,1.4720170492115294,1.3536936001743891,1.3713796403560605,1.3977795209090285,1.4787887274944715,1.3674438485191758,1.4216874617561666,1.3600648031900673,1.5106197044998035,1.6520397592617162,1.400377888992637,1.4078213969052067,1.3779904022944724,1.72783931245008,1.377240303488883,1.4628367601746162,1.4728694041054755,1.5061713398919914,1.660632758868013,1.6187135631442913,1.9641181454678025,1.8330249803360747,1.7003854416222222,1.6470634384327913,1.5177228215969574,1.6592476739637467,1.472931252416288,1.5818845869489424,1.412296472744824,1.5343688389842218,1.4819697689963507,1.5512184400971625,1.5328423265827236,1.566814313446972,1.5293331727132156,1.6989476191693826,1.7569640458112294,1.9200995910438465,1.8804356633252932,2.1289408218559305,1.9096305289252942,2.1293849863940806,2.125696199853355,1.9587975594870706,2.110865028452851,1.8594968406290326,1.8436092945489981,2.073978102029764,1.8823586425868861,1.7629364518231303,1.6903057955425989,1.5724997144355595,1.4943662742028039,1.42348751274962,1.383988469465155,1.4209342029348537,1.354808056560171,1.3300434710988172,1.3346898494526833,1.3083074685776166,1.399725473167398,1.383727345737862,1.4696263080514984,1.5311222638826447,1.6704306923990124,1.6889366343484067,1.8608675471057172,1.9872150258343646,1.8030491041061965,1.912480533341892,1.7905744350526247,1.9341491680921519,1.7501064525896766,1.7091079234032247,1.7479350651996852,1.597026259372635,1.5512883039331478,1.5438724132067208,1.6074578671039488,1.5550808597452768,1.4642958055742703,1.4448083105961356,1.4649112151203973,1.4758321946056043,1.4949368840595667,1.5777753671592905,1.6767697738374177,1.7292748282250239,1.9370823370728885,2.0276812933189796,2.648811414671214,2.500804797230812,2.064836038672224,2.1251958072679855,1.908303857547508,2.0202401933586684,1.7862782566092479,1.884188817140093,1.6602325688210502,1.5545523894065116,1.5188790412181798,1.549506468674976,1.5325664300906858,1.66791003204059,1.6769899395102357,1.909649475154506,2.028211958760307,1.9169827334500569,1.7608893204438538,1.6702425243994965,1.6503340391077959,1.7022956963492182,1.7018288461942113,1.8372369261044532,1.748697074429793,1.952170833283904,1.7800252160160162,1.9088799347423702,1.8685946249233125,1.8911123014759699,1.8688136305402108,1.7742032335612883,1.6997659701580787,1.6975099804025924,1.6047051172782523,1.7812383920588601,2.371505536435998,1.9921098633434253,2.0935745830290404,1.5966047970749107,1.8743432393211243,1.8285653906497887,1.7218450739096234,1.6957651157382652,1.6579921556441222,1.771986648719324,1.8211811649398149,1.9680862755631054,2.1493477153438385,2.383798923852437,2.129407213143984,2.0587330183435375,2.441911343632117,2.519837689573503,2.0634235561954224,2.2964614109993233,2.918895515305241,2.6002517017303846,2.4427975545157774,2.9205041098662274,3.187705850091849,2.682421824645899,2.731211695203314,2.382101896830861,2.785951457399158,2.007548931419205,2.224413387960791,2.582876859306269,2.551574821221406,2.7889183768149293,2.774308623707203,3.087416791184087,2.716356236428732,2.7540648071652947,2.7243345829420105,2.530919501927416,2.4998900422316837,2.3094638535953322,2.316311669711241,2.2012272900042498,2.17264936658254,2.01837019980062,1.9433936643219651,1.9774438510319907,1.8176789254241714,1.7891990128326634,1.8486033077056567,2.0145266885091586,2.2260406029480757,2.5014208058592557,2.7629257984437605,3.1096021787002437,3.0917024872971575,2.8150880248873906,3.1232773515949024,3.291954956391807,2.960825169687887,3.032462671681704,3.5263293286515935,3.6316619410572644,3.323298407293503,3.540423182532038,3.907040219348611,3.8019740109268176,3.55254592796296,3.722699837845321,3.296632178599469,3.2750655145351644,3.077299198555004,2.971242788535033,2.9703354229324406,2.685086671580371,2.598403740478832,2.469512529175855,2.3736429464545816,2.1232992169973217,2.1636037336757337,2.1304586241104344,1.8911913974571442,1.8168189800615917,1.8396496479494142,1.8448581109392463,1.7815166818250872,1.810819287204884,1.9113097806461667,1.9225637924383836,2.034810579442548,1.8288847503439587,1.895777805993591,2.0305514566390896,1.8442607251663121,1.8237439138887905,1.8449595089034365,1.8423666347730163,1.7643769563387297,1.813284690015194,1.8386545349983547,1.950682137176634,1.9444357635385587,2.0465190654872254,2.2142845500273762,2.1196752591629973,1.9936858558923034,2.113391042808153,2.232778670876993,1.9487345492571757,2.0773793956310174,2.502348437548945,2.4376623478638013,2.4577158029447244,2.8021765869865067,3.8167759476643157],[1.677544650804564,1.1994457551685955,1.2290736255582024,0.9288662476956066,1.0586968296718604,1.0392595444526411,1.0091182461440233,1.041115545973587,1.0071610286336437,0.9382297621406424,0.9505260905274122,1.0136150260725443,0.9878501450605728,0.8969183480332908,0.9816337233304555,0.9797641704892373,0.9711993767904767,0.9589186181147429,0.9243609203654628,0.9458047027950249,0.9722147393773121,1.0022782202252032,1.0352553554766613,1.143286582541695,1.1564832274747026,1.025336226541257,0.9092419150761593,0.8962855522853955,0.9533566915681693,0.9628738146075575,0.9964746336114476,1.0116535367098565,1.0136818881141558,0.9854403283358537,0.9644006365763146,0.9444047924468184,0.9896643512845653,0.9289439045968539,0.9219647494976047,0.9587536974418013,0.8967448002227729,0.9075688171898229,0.9062586410374877,1.231632222342127,1.2690511897294132,1.8659067521088273,1.9436354002084895,1.3099925698266799,2.8878093797134627,3.0342258487546094,1.7006950209156986,2.3975183485571674,1.0678519484775546,0.9409939579839226,1.6384221853530228,1.203128949853934,1.4906583854936921,1.663201991767377,1.1983981130053647,1.2322865752790806,1.0362151030398625,1.0107565046441676,1.0086333390511097,0.9999115462824061,0.947211777606688,0.9322920365151124,1.0679650369980358,0.9547376114706677,1.0443821666285213,1.0150438226518608,1.1431121958885115,1.4261234174637483,1.1396338850621819,1.1576750144263501,1.0069493120193254,1.4822677641921984,0.9199612421563684,0.9679493325498723,0.9507307847894397,0.9544781435169127,1.0181214474967553,1.046740994907587,1.3527375984938597,1.0648445471771748,1.1002447627624385,1.01384741192787,0.9779393044720857,1.0229680174839955,0.9335134999653281,1.0323583266720873,0.9543974957482336,1.1734898368344249,1.0393131397007596,1.0373540725965253,1.0275630618648364,1.0886453885271903,1.0798710085584675,1.0389692619763269,1.0258295813414382,1.0218664582709875,1.022193454773829,1.1278360009921928,1.0532433081948902,1.1338701436064587,1.126576954120399,1.1709601432318228,1.3066402046074894,1.2289042267509798,1.2818909319591778,1.2090069553870255,1.1090144142198162,1.0217588253330583,1.0050029183586047,0.9616057405235834,0.9825665229693318,0.9148417700230712,0.9074308870459621,0.9734262562578576,0.901413309334082,0.920580693283316,0.8602414444344559,0.8936099166852083,0.880203912806827,0.866274991847037,0.9130765131540657,0.9340172131145097,0.9941638414771273,1.0220402523477852,1.1077552962847321,1.158957602661559,1.11214247708869,1.1518862736259539,1.132435897989373,1.148633786278216,1.108412437435771,1.171362435854006,1.281731533195312,1.0886877097379257,0.9936747977847419,0.9742407085356796,0.9265623230121611,1.024827688013309,0.8974658275499555,0.8725509411037498,0.894372781998328,0.9149870413332155,0.9248505541774693,0.9922662296295501,1.0040399721210738,1.0160729399008364,1.0853204446997853,1.0838812825659625,1.4939408549543864,1.4920401410606314,1.140583588747395,1.0706178385805385,1.039390611420749,1.0790630095367015,1.0293991863709564,1.0959772459393957,1.019879468787525,0.9788181348759918,0.9432333667296622,0.9633115603729775,1.0709976480544916,1.1308061006585097,1.244152759531155,1.6123626981888124,1.7961157552018612,1.5806672331856326,1.3257983160489542,1.1467818571176887,1.1021537231121468,1.0466167821335628,1.0003107871222887,1.0268918734353876,1.0138353664405237,1.1613883269615315,1.0214499521192166,1.140966273164646,1.141710927457953,1.094893016982075,1.092372757020342,1.03534271220943,1.060587314449787,0.9887342847530612,0.9979873518382115,1.144654287416301,1.7544527397685485,1.4286680765540436,1.3511201084770026,1.4611631026101028,1.4230972616180049,1.4053277369767023,1.1723341744002707,1.2086811201173884,1.1879110749622648,1.1493622597825228,1.1845302484514604,1.2087804128289736,1.4009165067097609,1.5511227784923531,1.331341371072593,1.3396302059878975,1.6557099827267725,1.7070950804987008,1.3721208003707042,1.5727128666709462,2.0595507391448384,1.7963226090584823,1.713176145130967,2.1267957771500297,2.2997207174225704,1.9361876698628822,2.045733832511806,1.710863136325531,2.214934835107775,1.5621840893532695,1.6272821475624877,1.9836312120975383,1.937965131454329,2.261117150759181,2.2799241060206867,2.525065123429351,1.9670132151274573,1.9566066223504934,1.9041621336582293,1.7366725286397473,1.726371983000129,1.5530762034388796,1.5825933716022191,1.580858008690662,1.573626572048504,1.392807873278694,1.3828330247917007,1.5202811421285454,1.3737477195265506,1.3401156983343134,1.2260405447130922,1.3278553817360674,1.466877221361114,1.699282327913364,1.904356760072112,2.162409082835786,2.1351515151913985,1.9414588923075426,2.199053908660604,2.309613251614655,2.0349583323699703,2.126421109046813,2.536416498495608,2.623059296957228,2.391369035954603,2.5899175231536833,2.9071583562649908,2.8613144573717504,2.6317175302491047,2.757323565195306,2.420998715582173,2.375384589487737,2.1870125004695993,2.0930966044331774,2.148944527976479,1.9159432350887835,1.8301008965295058,1.7758059605191412,1.7016329313784004,1.4780283198489097,1.5782197805431424,1.6306181885999338,1.3816225703200387,1.3409515830206142,1.4302601626981,1.6505791293666099,1.5020802917235396,1.4545180417519021,1.6793245886562418,1.71002374553449,1.74195217540455,1.3842873328025969,1.3228670810906817,1.3565286282513247,1.3699953334873165,1.4004084476861691,1.481462765381254,1.4756849130567335,1.272423844099083,1.18833805565441,1.155303623925411,1.2432430105998182,1.1730891837432451,1.18510654856536,1.2559085526584253,1.189239240054313,1.16265284035406,1.2009961850538833,1.2169197950489796,1.0979182620330818,1.201381221626392,1.35118556801661,1.49230831646794,1.557879871880598,2.283015832999114,3.6003441132021035],[1.655768577103072,1.3025250563495356,1.3936358936120596,1.0508721273863921,1.1265072675602052,1.0801262097031707,1.014409368179371,1.0726351603135353,0.9607397808609649,0.8569806234524254,0.8519339447500336,0.9582829456178217,0.9265413471334923,0.7996817437886139,0.851092067016286,0.8949125574302373,0.8921720211013024,0.8361789088712529,0.8262857473419375,0.8289550795927837,0.8461641423780685,0.8780829738308267,0.9191737734513393,0.9775897923735261,0.8933373257857254,0.8060242251193844,0.8530269830682264,0.8455793064425248,0.8909764038987875,0.9142660842406267,0.869829299424702,0.9790192911949874,0.9253949008338025,0.9307700268143061,0.9383112139844997,0.8787886047767473,0.9673604293034384,0.9421542756126705,0.950189383827578,0.9857027397236052,0.9343806517960757,0.9287032412109061,0.9364391598525305,0.8819733629388787,1.47375709868366,1.6426841799626164,2.1985750714741807,1.1021119148215675,2.281835294018508,2.4974629035694056,1.2631325482822187,1.7553542568580902,1.1891353277871128,1.0807738032047467,1.952924553459016,1.0927103249915495,1.133613104348513,1.8767196848969088,1.362702900501724,1.2540847632390049,1.0277705168482494,0.9210589045827052,0.8853874768560477,0.9189731283691616,0.8813970446421541,0.865937208350353,1.0123175285879453,0.9081255158658766,0.9905952739951653,0.9422151047913669,1.0886751777769748,1.3276369086058188,1.0444662952596708,1.0834734468820526,0.929939658368999,1.3432428020016551,0.8651730148800063,0.8534115705389077,0.8780849637321265,0.9364179618345313,0.9509515508130282,1.0978150929207415,1.326298703845209,1.0932772003258548,1.0572248814656091,0.9783585066503323,0.9388567022292224,0.9765144204123137,0.8796582399853228,0.9560508711303463,0.8884669201654871,1.0130845438909073,0.898845703528246,0.9185113908761966,0.9071764750636386,0.9301595115183859,0.946572196884663,0.9561262292799225,0.9870930130969721,1.1364473158936994,1.0359397156542234,1.159198246108619,1.091143000570059,1.164866738380095,1.2099653058002449,1.3301556501807914,1.5152474553744641,1.4679535165825282,1.5012795965576278,1.385213944637307,1.2699826537822931,1.1306929563307142,1.0497699796236588,1.0061423045248912,0.9533796891607427,0.833795853399997,0.8480802652008511,0.8291012813522455,0.8177639427353228,0.8353256774641782,0.8035731780720543,0.7861052603486921,0.7643834432040342,0.8202691202258696,0.8921845373524269,0.9724494890230257,1.0916156654670528,1.1050558310617746,1.1660847716287217,1.1876767817189395,1.2464605154653832,1.2775074892775184,1.2914989677627766,1.261200166747207,1.2098636381730346,1.2559308967872496,1.403569068563277,1.1985970577571115,1.133115118415215,1.1222911894723593,1.0044145007672975,0.9933076071876786,0.8853692469676767,0.9223848380220268,0.9461947677833495,0.9729771445340898,0.9624298618637578,0.9896731529830864,1.0379575745982466,1.0316973657870647,1.1587268827130397,1.0871130968031184,1.3783092024192838,1.557909515068702,1.2936412673971704,1.0935295000119574,1.0257919769121189,1.0927153868707384,1.027808243012331,1.1331826774061668,1.0872961799378373,1.0392090882209954,1.0390168298692748,1.0279923163961497,1.1194878519652762,1.1248971879610317,1.3844034935847522,1.7988086135222845,1.9234868316697669,1.7323501390793616,1.4246068677744514,1.2310624528957306,1.1661467634207479,1.1507244655854634,1.079334311457679,1.078253570968683,1.0369251751552138,1.212596300648133,1.0753402978536357,1.2001633649748398,1.3594574633746122,1.1898437295397617,1.223633067529646,1.2052030485344507,1.1939037546475406,1.104368323654518,1.057074123923481,1.2102087323189414,1.4982037682649683,1.2653538012137486,1.4675091486876994,1.457850228621883,1.5103897554804577,1.5450979228178736,1.3413602436271372,1.3349724762289412,1.3873307416598317,1.3301616019317564,1.3606698984624985,1.3611347382985193,1.5886268823208596,1.698236475094141,1.4854470220599278,1.5491577334292121,1.843231183274426,1.8666189328046243,1.5684681601123611,1.7961738178573856,2.227457839607123,1.9838431160961993,1.943719470683099,2.3439930706260372,2.47151788659059,2.1952147713633976,2.3224974018306215,1.9950310576934327,2.491261525372639,1.8421614189522895,1.8973482803380168,2.226098552680395,2.1701083747448586,2.4926125720000765,2.4825762768479924,2.6707370679058933,2.1540285339080447,2.1241860042925307,2.040591463868594,1.905254261170639,1.9289925077093442,1.7571641170931636,1.7916112135605249,1.8071206170893708,1.8031068715030685,1.6321322171696102,1.57523031757291,1.7212422652641761,1.5732840002149255,1.4848154623324419,1.430727333150583,1.5214811845042817,1.644113083291053,1.880023037481018,2.045478801694976,2.2752973938598844,2.2032092622537296,2.0564340275725854,2.3093951186158757,2.38288814083286,2.1212058989456457,2.2396973900105603,2.608951806602931,2.6773041642324467,2.4920605400630245,2.69765005513675,2.9812660349325015,2.935249480888608,2.769118351918388,2.8809447259302843,2.592465092545809,2.5319314598970686,2.3392871607885195,2.2541131359176823,2.3364398161926547,2.111943287188255,2.020495354994284,2.0008954615292596,1.9388141364596487,1.713400651706101,1.8302786030079023,1.9086614190730409,1.6443754449087427,1.5786555381795384,1.6996708797785187,1.9013761276526604,1.7458139484319672,1.6729472796545646,1.9089144992291118,1.8893727479840408,1.945654659646861,1.5853605706706944,1.5639850141299219,1.555083393622069,1.5127549553765296,1.5325201387584877,1.6265359641908774,1.594183749422608,1.4613588562551507,1.3160598361354667,1.2994208609347742,1.2208679336877382,1.3019515711862977,1.3592869772911191,1.4427933848955496,1.3423265031609763,1.3220145702136612,1.3710426092393817,1.3486672283498635,1.1806901163026613,1.269218836171107,1.3940670884662933,1.564082125424133,1.6115231628977076,2.2047700371590073,3.5054547047778843],[1.5416320746743224,0.9361814732095268,1.0182898787338321,0.6751634650643114,0.8409567316243837,0.831933767020545,0.7770333557018498,0.7935309903172547,0.7511553109339593,0.6422169696217132,0.6507569292555592,0.7825655039435434,0.6998153311573193,0.6098696485562012,0.6880342420563381,0.7032795558038678,0.6613249520434712,0.6299580064723975,0.6392203865006655,0.6469377475789757,0.6841027559080396,0.7184329834335085,0.8152650236890109,0.8934339344178123,0.8920302943304329,0.7285087903285663,0.6274512489453937,0.5998577529191647,0.6475080830313867,0.6837206896940196,0.6848835382184478,0.7662287291286928,0.7434257035290271,0.7185847675300063,0.7190835975948895,0.6627185806899833,0.7229907626748645,0.6645294972254716,0.6634263534932696,0.7149971393217928,0.6445319398395117,0.647000950691592,0.647624590238008,0.8430638309463456,1.2651540491415214,1.684612803214521,2.040763073856145,1.0872298608428257,2.544955153850399,2.7307518155552977,1.4327764191331112,2.1025422352742225,1.0321281903615778,0.7670811321214918,1.5687163490941816,1.0038702543312845,1.1671717985195975,1.5867644610781866,1.0139531035762737,1.0756999936855642,0.8362691199717645,0.7640055703718859,0.7310300704644289,0.7730140777809755,0.7151463683285164,0.6854209531660393,0.819342636971223,0.6599405397992828,0.7895991135845696,0.7308517971036042,0.9137423992620788,1.2067985830046062,0.8784135116372382,0.9144157848025136,0.7478535686151535,1.239129382236439,0.6596791664088051,0.6504717309218097,0.6722284297496292,0.6997041479183413,0.7450410350680994,0.8445733691005944,1.1823597611878685,0.8141000814032672,0.8967316245869813,0.7597965484040048,0.7235797967824457,0.7474495834177708,0.6495408588915196,0.7552386354218175,0.6710243204259404,0.91684993599836,0.7282161487791863,0.7492418183641347,0.7431639590523237,0.7964627017280824,0.813230391415327,0.7854749919847273,0.7701082127431175,0.8634631347132036,0.7932797477633314,0.9129378284582668,0.8134659640257451,0.9019584820033641,0.9319278588331369,0.9588108234533073,1.1122683241343554,1.0646660320373236,1.1030486802811554,1.0429622243886079,0.8949019655199045,0.7981294328939159,0.7715312015779421,0.7224524501303552,0.6998018538923179,0.6386921454693121,0.6254611380260875,0.671316921465751,0.6734943784463489,0.6318869045683428,0.6066092008876564,0.6067772567055579,0.5705445366074496,0.5843385517531318,0.6474310976141955,0.6868702701412591,0.7740658940189212,0.8058014079196134,0.9177357157956905,0.9482998907539967,0.9161179743184404,0.9565486100993259,0.934223177155949,0.9404123917085057,0.9223775982127719,0.9929564254863119,1.1345387775642288,0.9432001043680072,0.8524950766800337,0.8268315280406526,0.7470921279067251,0.7985974814733974,0.6508978549815049,0.6418570862627431,0.6482921883152943,0.6779214072505901,0.6729131835759772,0.7296789009659979,0.75144468197484,0.7613611867177772,0.8480621923812386,0.8656016925768506,1.3778238151664017,1.4615911463514581,1.1056788960339914,0.8537628502099783,0.7760080454234991,0.8426266016479536,0.7631225484212001,0.8687872785611616,0.7761788186995411,0.7319679898863914,0.7336199320270487,0.7338588177852613,0.9208553665237525,0.9481559163366479,1.1454569536693608,1.5914337617824401,1.7370207491981124,1.525563907286857,1.1996240770980424,0.9960883929962634,0.9061993945821195,0.8106601414843481,0.7618789759202796,0.7819569572491986,0.7642937240235966,0.9591591119732729,0.7757840194556366,0.9075750383802147,0.9253634699147044,0.8840058059790459,0.8765328626508616,0.8452808302169814,0.877781302611853,0.8017589704452218,0.7918785995778483,0.8947510466265941,1.5643282760397443,1.280102829972284,1.2036075624775868,1.394646852058793,1.3271070762246457,1.285259044055185,1.038086489371355,1.1424598242474886,1.043167820412123,0.9833926179926874,1.0452210373244397,1.052788880561272,1.2700888557389531,1.4197036235784797,1.2005426560617567,1.2339122227310453,1.559589111749439,1.6564835600634071,1.313371187305505,1.518177107536323,2.014204620102379,1.8296015163127837,1.7389162370216587,2.1649009012586493,2.3950034343277333,2.1197271973626397,2.1844914558303006,1.8442829158098806,2.207659407440793,1.4919756705302816,1.538242186660028,1.9054407446093826,1.8213716563989792,2.1520382799184787,2.0451393926143844,2.307123557408487,1.8410562787650084,1.8122283358993114,1.7420387472136685,1.568311381775018,1.6410865575115419,1.4229654261145361,1.4027745396470386,1.4322058157811433,1.431602118056214,1.2134282701476453,1.2477086750062942,1.556563437092998,1.3087010675459974,1.2587898658825833,1.094154092699628,1.1522824989449811,1.3094415166113365,1.547552424489743,1.7529147020864364,1.9696556174369007,1.9653098338459363,1.796541826759955,2.050760725742152,2.126261470759236,1.9023800267827258,2.011068664735364,2.3957533353136093,2.4942460691756745,2.3194558703884316,2.476897251315754,2.781359667303735,2.7875464491115007,2.579686254825252,2.6718768472687118,2.3487238030368394,2.2743518559639333,2.0722584852896637,1.9617032536850818,2.03509067083575,1.8245455828740282,1.6984570110121726,1.6539974234186297,1.6067212845504677,1.375524595248184,1.4589097418187942,1.524863324221876,1.2971594601916443,1.2754546541104315,1.344963790741017,1.5423420708944997,1.3770974811729608,1.3138120293772628,1.5091838746366106,1.537281954951374,1.5582687726949032,1.2343181629850237,1.2476049099743134,1.3513979213171208,1.2463098140068722,1.3000892309660856,1.3499565457229015,1.3855252584432896,1.1878199896762862,1.0358021673356335,0.9923329962684583,1.0495108260220303,0.9512144395178573,0.9746553188402437,1.030549652247059,0.9467225135839261,0.9507079524795339,0.9595447266647129,0.9570801089793131,0.8484769248226917,0.9389964292187105,1.240879665725268,1.202809598426592,1.4367999522563994,1.859235784514391,3.1805864888313917],[1.5327985585231796,1.0511433344273469,1.184934897619285,0.797518301531579,0.9785024800918793,0.9383796871303218,0.8785352812376274,0.9130659116622316,0.8480831557686972,0.7363467713610098,0.70938520113364,0.8744987869535915,0.7722148682626777,0.6565429636267877,0.7286315111205517,0.755259624067779,0.7197483446674474,0.6678347648339238,0.6328008079930902,0.7067730869993205,0.7015005367480542,0.7652771643928499,0.8351613353751911,0.9075055722481586,0.9722740766438989,0.7633508850958864,0.6669108429436379,0.6572135431629892,0.7163830511722268,0.7632228121020771,0.7498482151740835,0.8122904943880208,0.8371509366612101,0.7808691967170147,0.7968635101510748,0.7484508641698828,0.8187878326948625,0.7342394855057216,0.7524161376893328,0.8160350305538362,0.7313019268568051,0.6851028594556692,0.6866751862052215,1.0020144896395886,1.2543149693153255,1.7819549885193706,2.0614805176847044,1.187850760345084,2.7901200396913985,3.0454675565337377,1.723716981928567,2.29751421280168,1.0832794969860489,0.8527176159526216,1.5241070684816955,1.0321497446095105,1.1582283344945175,1.6042346203416333,1.055709776956862,1.181513386971708,0.9606237768414773,0.8498555315523821,0.79046145159994,0.7608644873090392,0.7752144452188238,0.7251974298403036,0.792376136947639,0.6658403829132731,0.762611192116774,0.7080906882068233,0.8730023537856197,1.1319815762092127,0.8264637466165627,0.8812247684050226,0.7568710484402005,1.193549189511363,0.7159651346317263,0.7208477344426663,0.7602919999573261,0.7640078212639366,0.845281786242268,0.9227014354177951,1.3147810249099972,0.9572808612810413,1.0058365825366358,0.8701607849521167,0.7986252275997481,0.8419147583594994,0.738597120187796,0.809098237807376,0.7258778897816537,0.9405719920900947,0.7771536969547098,0.7777917757851569,0.7792946223686112,0.8449348942318857,0.8579098944426119,0.8466285078967614,0.8495515687268942,0.9528472451279086,0.9047359116050981,1.0365880159231404,0.937287226946419,1.0617827172534295,1.1013730682416591,1.0933510150025798,1.237461762727996,1.1682931863589114,1.1868153534503518,1.1871832684663564,1.0297219583811101,0.9254913821390554,0.8891847280186997,0.8127501093945115,0.7539222092988002,0.7028690747052364,0.643789645982515,0.7099423239478582,0.6977723275078206,0.6357187355005312,0.5992159161475661,0.638300476646321,0.5782593902056642,0.6321075555221831,0.7325792524872499,0.7855490734358007,0.8864410349624515,0.9558163390768444,1.1075184743458346,1.1328374393917395,1.075426930836871,1.138283200822563,1.0933843422547949,1.1110475663177,1.0622042354575945,1.1134353981715752,1.2330979726486553,1.022446928665855,0.8855803728341148,0.8775213111320723,0.7853311692815695,0.8488973837343226,0.6794155404232859,0.6997517530806294,0.7221422315899798,0.7562314353269718,0.7619402422461025,0.8240728730335956,0.8588709272077492,0.8884529848007748,0.9772750340298902,0.9833243118025106,1.4550704549634594,1.4844427772139606,1.2082476825850168,0.9692769899856866,0.889606112640791,0.9778962713690291,0.8712349924186412,0.9881611251263874,0.8878437928460463,0.8278810036285623,0.8214053846696562,0.8532912671650981,1.019615542979654,1.0777958169144464,1.2369344641128441,1.673144962567017,1.8183157192376018,1.5507469497952517,1.275078339954678,1.075665209417154,1.0223947195796177,0.9215812171907254,0.8765286900467549,0.9417921802632191,0.8796756126600361,1.0586122976890868,0.9170530056509052,1.0490577274356734,0.9824704347302802,1.0438374052460935,1.0447205608058425,0.99682430258995,1.0218119476098515,0.9290382259812622,0.8936454557727465,1.0538261566187521,1.6965492821172605,1.4623714051282137,1.3187922338330607,1.453592501569003,1.4158358848047363,1.3934600590027668,1.1932547902427655,1.3099397325622029,1.1492449274992769,1.1524641348657838,1.2367156603242186,1.2519345864003748,1.4357887727016092,1.5389967186441793,1.3687460624398151,1.4178639945058749,1.6817434130885183,1.7892378270845037,1.5256827040358878,1.6841123041952042,2.089411671465983,1.9928120536468081,1.9358988858421322,2.2938078052098954,2.510120728027289,2.4164747806433033,2.4317223053079022,2.1202371915296303,2.3608117156749024,1.6880440172434998,1.7288389549298393,2.0227092142447436,1.9208003267983822,2.2217546646187283,2.0607531239515473,2.283412421457564,1.9111269709949141,1.8577454047621382,1.7835695145319248,1.6444407792324665,1.7374387726418796,1.5582702905775616,1.513156144044075,1.5730400350055436,1.5748127741113054,1.370853689715678,1.4446403704672166,1.798094454533347,1.505044366486356,1.445853889954501,1.2997176846726564,1.3080400602478952,1.4409774592342162,1.6268106722588391,1.7950547271990371,1.9440266833120563,1.9673271257943237,1.8492128330795117,2.043090693789983,2.0842918297730746,1.9195265798813739,2.022925948537948,2.3412991954306346,2.4349639146017155,2.3229378327365175,2.437518682610994,2.696329001198591,2.735030824051133,2.5713129763670004,2.623836259534152,2.355783812079502,2.272593587757301,2.089106156241002,1.996193482718412,2.0741349056850003,1.917240648229099,1.792686493644372,1.76392539796411,1.7446497346680812,1.5461137850304785,1.6206199519411761,1.6984032089462036,1.4988961272607764,1.4895833210452485,1.5463256353833845,1.701287026516373,1.544511704484897,1.4838639769817268,1.628692921232988,1.6340649862475631,1.6469789767085055,1.412215051053427,1.4851715321109873,1.6289884016832024,1.4732876065883016,1.5084731065003252,1.4847248286802168,1.5313015380381512,1.392937505281818,1.2270826172174927,1.1883352383293826,1.2342921567202598,1.1468177304500762,1.1517277741003058,1.2031356129608113,1.0787820582214238,1.0787176322175378,1.09905462541545,1.0914128168097452,0.9552463521825214,1.0445166713254466,1.3818702399718796,1.2261099147731267,1.5827436756389839,1.6410719196824524,2.9965791562991595],[1.349705508386382,0.9337288220495564,1.1090385934772187,0.7897571030023635,0.9551198992380104,0.8687604791626429,0.8149829295843672,0.8370094840606017,0.7854945219353512,0.6892683656723616,0.6603209631231141,0.801394578234873,0.7154735292799318,0.6190528083066348,0.6970823858626612,0.7083567525630098,0.6754096235075723,0.6373700224773338,0.6227112157546614,0.6838600292006118,0.6907157824948896,0.7562399055487511,0.8343686294479346,0.8981543770381749,0.9468154515806722,0.7424144000392412,0.6418328603403031,0.6314150179462299,0.6809622079449144,0.7088974630970757,0.704475275376541,0.7444016428023223,0.7852330468649185,0.7260564273802972,0.7333057630051809,0.7031667152252608,0.7534482451186465,0.7024230770344855,0.722916518555279,0.7762980828833574,0.7114332982692408,0.6746937489600957,0.6722552685335716,0.9900447281470153,1.2754794615625187,1.8088493954468685,2.1032662067216803,1.1957410424160373,2.8166243548111822,3.092202822190158,1.7579941676002464,2.294805727323697,1.0496753971783435,0.825967237344604,1.4803936830086546,0.9764908534051419,1.0645296575333634,1.6456151806283856,1.0744613816267892,1.2147081474345187,0.9724879344590119,0.833529818772149,0.7619173713408232,0.7544476156072247,0.7810067853743051,0.7019095880173409,0.7814798923623373,0.6553871146695379,0.7738541591784688,0.7052278005758117,0.8471616618886622,1.099300244637345,0.8080049449873423,0.8943977309194672,0.7299632018510314,1.1573080383348198,0.675580974598672,0.6698411997275524,0.7042574784742405,0.7237766176234894,0.7798805766231081,0.8801933132779857,1.2829347213648115,0.927345731564165,0.9850897972843751,0.811917881002727,0.7446940106687533,0.7610395453197517,0.6989339517008631,0.7467958001153517,0.7070457966531095,0.8962354175317208,0.7552640765040822,0.7176289165853081,0.7166511044034756,0.7846308543703869,0.8082032859565472,0.7823058452443366,0.783379785464733,0.8842870518605941,0.8311376341425684,0.9704848073734887,0.8701792227440063,0.9961275621853164,1.0365819854461182,1.0278043872311418,1.1546395945257897,1.1041298977573155,1.1071794457665134,1.1130630582106926,0.9577036656930921,0.860043637335008,0.8253955151853505,0.7591996149934012,0.7063728176147249,0.6832424280409394,0.6255174207026916,0.7051255988932613,0.7012071003986818,0.610474340419006,0.5953277397158552,0.6139786586454092,0.5699968727640493,0.6058648631182914,0.6894422518434421,0.7445443935905428,0.8258148551624759,0.9042852495310012,1.0547749099688422,1.0758009192624642,1.021404515404296,1.0832542046349463,1.033842688125112,1.0426815114235026,1.0074648263354486,1.0712492465356305,1.1857294256187432,0.9733223529020606,0.8435445715292746,0.8573745580451357,0.7674260075892312,0.8322673624911533,0.6555164682354438,0.6776206374631946,0.7004996106638164,0.7303734946090851,0.7315365134988294,0.7663479721261007,0.7959219035163491,0.8309257813016961,0.894063935227812,0.9116760757802519,1.3611645358823934,1.403522691645662,1.1807235435138967,0.8969134450950536,0.819402499904918,0.9005995005543465,0.8053044018519331,0.9049128753389681,0.8386705898790889,0.7850042305601608,0.7947499914265549,0.8245963651487928,0.9747358778791392,1.06381856098818,1.2073537680865405,1.6612926298844435,1.7926604968238482,1.5188296867078588,1.2346416902375625,1.0410043462358431,0.9792600915771904,0.8838542629029523,0.8275724426406753,0.8841753230653978,0.8176369088294357,0.9728895659929226,0.8722565654872445,0.990693921825284,0.9795705379547939,0.991724646947552,1.0010471655708209,0.9493805815337805,0.9799825157852018,0.906510878083749,0.8699701299873819,1.065044889777125,1.7215346256755233,1.4507972528814403,1.3306830779936416,1.411916475225065,1.406957175957729,1.368415072666552,1.1596655676848957,1.298352903054014,1.0882390350686224,1.0996777607268164,1.1944694308871713,1.196436733262178,1.3593140034311073,1.4457033428125274,1.2999371896503673,1.3597611375941785,1.5910585381012816,1.713822447806552,1.4956763078398818,1.6232534982550815,1.9775504764536829,1.948626290329348,1.9115229853978741,2.2102250121888556,2.4304993606391876,2.445495118718139,2.4233161216745454,2.144702440927491,2.2722987229802487,1.644519863945895,1.6669677624901953,1.9149557459069304,1.795056559972465,2.0722702211018817,1.8888593235138933,2.098678023287002,1.7759946080966145,1.7149626941128007,1.637369316025663,1.509868618119381,1.624852187380436,1.462651239128747,1.409297995950246,1.4959658520051593,1.5120261524445802,1.316124511007108,1.4252264400906098,1.7976590910594303,1.4937186300472927,1.432869217908046,1.2592408938237079,1.229023346781431,1.3535473759992371,1.5096616215635958,1.659121300793018,1.7567702659384496,1.813465912749551,1.7159516032305933,1.8748978893113455,1.90968026387555,1.783548755176529,1.8885919197429963,2.164371448687655,2.262314314650064,2.1866242512494396,2.262849128231959,2.4969730085580712,2.5736689391632304,2.4112266663195694,2.43162039263673,2.195128807434502,2.101289988989855,1.9367444656458892,1.8428967933050358,1.9226035663204766,1.8002078956195608,1.6697705609714597,1.64983439705303,1.6497556343026394,1.4687925553300687,1.536824193961846,1.6191055917891555,1.4495361280166366,1.4505751009385661,1.4911147097350175,1.6573441489016256,1.5059460219769838,1.454256970275712,1.5902877187734807,1.5862563257112696,1.5853803212798208,1.390377857092037,1.4713810665135145,1.6454850417322358,1.4518096745580096,1.4790933649448281,1.4386815841169185,1.5075167122912598,1.3618266287387824,1.2065380920559867,1.1511709505129264,1.1987610578904653,1.0804993932780762,1.0713711144580236,1.1101265371612867,0.9833754242591921,0.9954304157165759,1.0096077412875442,1.0153863971339627,0.8667378689910485,0.9717213089890792,1.2843480049579798,1.1156994868199472,1.602080169941761,1.5019126000122842,2.816200061849617],[1.180404206307042,0.7439338628680044,0.9665693414549155,0.6385585004951352,0.800551824583602,0.6588479450744366,0.5979993945058256,0.6337913336720802,0.5813632960389827,0.47922583804878705,0.46475186844171845,0.6081964648507391,0.5092230414211201,0.42089213202122927,0.519835209793019,0.5072922738729351,0.4916692205128167,0.46004220914091365,0.5136897584307417,0.531042634375488,0.5617653261947241,0.6335906302531047,0.7495262521135068,0.813215422255032,0.8485843677553309,0.6324046160632513,0.5027811122834743,0.4652410044656074,0.4901954148791621,0.49881052786978675,0.5136931472916365,0.5294964846678419,0.5873710713402707,0.523108453589332,0.5154109259464011,0.5074431801391802,0.5377594629672137,0.5393852909811359,0.5449426645455048,0.6141615098608509,0.5823032520626823,0.5458809612269582,0.544491908959907,0.862368816948203,1.3155645772357145,1.8067126601375465,2.1796196393470066,1.1915671945550281,2.7389426448714795,3.043356519758215,1.7064527022448737,2.1798377148871144,1.0208226949927135,0.761966349501034,1.4020121934275942,0.9102291792362707,0.8794691110078067,1.6423533285812781,1.0298152296282292,1.177320697772394,0.8663265863494961,0.6899522931086912,0.5903836434583669,0.6482848358509034,0.6678805147005387,0.554289999536562,0.6791430195048653,0.5265660965211227,0.7013859744780155,0.6121758704595447,0.7981902015145013,1.0459896565797346,0.7295170576235722,0.8411899298567672,0.5866704715701064,1.0802002365950842,0.5099196943147395,0.4876889488646204,0.5120515698261029,0.5896039354425419,0.5845976117130036,0.7171807619271757,1.0991075384387656,0.7663371059112083,0.8477612536620063,0.620575991796467,0.5624613727629671,0.5723923662897087,0.5118497167612149,0.5593055833851083,0.5391783269235361,0.764280917863514,0.6154317170255793,0.5303736786786849,0.5274006055348511,0.6215922098076856,0.6530894880503114,0.5885647807539487,0.5796496524144423,0.7369532774776867,0.6166958644220659,0.7880955034080722,0.6627646066799927,0.8149298162397838,0.8448794554322152,0.8555969502141112,0.9878458361024492,0.9777881609881565,0.9530989775069195,0.9453391269151942,0.7888380905467378,0.6643740580506637,0.6089206563900076,0.5556577578195985,0.5148848975451229,0.5209699805413661,0.4677860924309576,0.5739513186912251,0.6019538968461806,0.46891819720945244,0.4870339631381346,0.4588251333476964,0.4343874021449298,0.42536626459057697,0.488053567323283,0.5627452113558881,0.6612616644462154,0.7121721174700044,0.8653444499654173,0.8808598977850646,0.8678133782174877,0.9414066847525174,0.876607597608569,0.8709572411696879,0.8399671519672779,0.8960045528686659,0.9934297881485056,0.8077803125446731,0.7343327555914099,0.7740532185239704,0.6976394948577637,0.783022625692199,0.5367207530301165,0.541048109458818,0.5483880316456982,0.5568259214137726,0.5493140317665106,0.5566102780071976,0.5796046421527298,0.6218788449884911,0.7042759346301363,0.7180890749186345,1.1959953325928785,1.319989738811336,1.0911141935961564,0.6990667943093472,0.6022792974489015,0.6881901927152877,0.588826267086192,0.6986847939841235,0.643387912810994,0.5896497632200491,0.6317176004462,0.6426103409578077,0.8013960438892856,0.9061829343534457,1.077168762510124,1.578958728672485,1.67779253174712,1.394542962711367,1.0854906659070807,0.8801171817738846,0.8036735951383112,0.719341557136683,0.6484094936921053,0.6792492540356334,0.6066518329874045,0.7625759244133089,0.6867112883017439,0.7948156289849411,0.9212648509716436,0.811248484425158,0.8381808632503066,0.8069979713463361,0.8290380606232144,0.7960910852655729,0.7778899294536958,0.9817363095262794,1.6760268614452645,1.3300415658705582,1.278684886082629,1.2656826866011732,1.2901257190394497,1.223549702031342,1.0627024284183226,1.2676043893367313,0.9538359408968584,0.9933909288001096,1.1034240938110156,1.0635550174180288,1.195673097139584,1.2392728374935296,1.1155165468658885,1.2084924688952416,1.3954297083314156,1.501431760219567,1.3404361702915228,1.4624866998161306,1.756312391966513,1.7615855449310835,1.7559200011668081,2.024317336728727,2.222790983921716,2.321856647377592,2.3115460465482744,2.0652445681167646,2.1382671481517956,1.5759637846541739,1.554539812792776,1.7638078491509819,1.672944081308256,1.9765872657845867,1.7583224507147157,1.904304503845775,1.5969429442120149,1.5210709011383001,1.4089436946964784,1.355525756607172,1.4970159434266739,1.3338020323315094,1.291237489825068,1.4507666171691485,1.4696474043083478,1.27675758093146,1.41457676547079,1.8436639392706085,1.527564447761199,1.4391810980884214,1.2041767005533908,1.0782872301802375,1.2094166083097861,1.3031127211979352,1.4349007274131929,1.491082009221652,1.5613205104679058,1.4807752030597714,1.6163956611204053,1.636146133868806,1.5457054684165488,1.6409853958204732,1.8969524905465305,1.9916606374295245,1.9379549665676432,2.0141780878953144,2.232026664746378,2.3268434716749846,2.173801476259249,2.1827090980408403,1.9680949858998076,1.866189592551009,1.6991982598051876,1.6215753266424406,1.7154128261011183,1.608301183853978,1.4850982085393754,1.5093115511090798,1.5200541036845558,1.3542550650632217,1.468668727685366,1.6146955643929672,1.4176127021997322,1.4396130745623197,1.5058827862062654,1.6738429147800002,1.5227459420265492,1.4414742995220817,1.6617438189677793,1.615959970997367,1.564062328406966,1.3479549514537443,1.3691997804225684,1.5219890642681049,1.3428613463936365,1.3732706776997152,1.4184570426512315,1.4705774739892228,1.2941796289948313,1.0938520885465945,1.0366542699599028,1.0049067247823849,0.9549363962841512,0.9281339126923835,0.9909000962088633,0.8477520598873372,0.8238546627910526,0.8985469357535576,0.9362889853738758,0.6687982170825346,0.7576105704715336,1.0590330804330321,0.9092987080845344,1.4925465194487866,1.3580811185152022,2.7124930726608403],[1.2649655260211852,0.8712564994669011,1.0700086155382276,0.6840419376020782,0.85871568711629,0.686173976575233,0.5876890442950098,0.6669170736574621,0.5658370568889889,0.4352559787499175,0.42529398895234605,0.5766772044463963,0.4778592645037403,0.3954330211376616,0.4932379008157414,0.45429853481369126,0.4561724138805615,0.4205069477482487,0.5000795548558992,0.48088702459437205,0.5237584552066196,0.6008523579112952,0.7366128848778468,0.8065346262284254,0.8310981798319633,0.594641284067596,0.47638173855934407,0.4442449008899834,0.46446680521969974,0.47907823336141975,0.4765099136196172,0.5077359858663314,0.5449478572717484,0.4930046371406708,0.4950701019687916,0.4772637551161932,0.5253464402529994,0.5367148650749918,0.5209895700510075,0.6162891923725167,0.5749602441098829,0.5315449557821571,0.5318758871804303,0.8419256174876358,1.3955661881678598,1.820123725915604,2.285916633891287,1.2597614618501651,2.7130185892013237,3.0887462028301753,1.7590796032205445,2.089474670092699,1.07560788964738,0.8430065607293908,1.4136434283154595,0.9583195971851579,0.831157093959795,1.6368302701045703,1.059610334826478,1.2062709728851684,0.8368639844639004,0.6481652784597577,0.5863677277981996,0.6361389695124907,0.6336450594629172,0.538663235779208,0.671731478877224,0.509903202861199,0.6871577583468929,0.6269713599393384,0.7980054329791685,1.0462522602627946,0.7438145222483887,0.8501484791915088,0.5821203273107601,1.0371831896901933,0.497518407755394,0.4688644644289381,0.5097735005138847,0.5810402274142406,0.5867927385076829,0.7270705632123939,1.0032583061087983,0.7789366900418034,0.8374092500814853,0.6115252122943983,0.5442952065846889,0.5796545215123217,0.49469343062896204,0.5341951471612805,0.522016220108763,0.7228319286946638,0.5886213358417747,0.482833455776605,0.48289272047919357,0.591526487372389,0.6235357478559935,0.5597982586067428,0.5622792449728147,0.7582192261516076,0.6010005906156232,0.8088404595004792,0.6885312190693543,0.8638919559500161,0.8618525602441445,0.9002973020501591,1.0738048724564953,1.084585332233207,1.0419799120329476,1.0184581442068823,0.8844389172431529,0.7152865002695472,0.6084447673079441,0.5481121948374374,0.47410384175748144,0.4896329281337726,0.44186084058871083,0.5513967327619099,0.5871412322968024,0.4440487663405612,0.4797627583513224,0.433546146494706,0.41682623844611716,0.3900965205172366,0.44413834199650654,0.5514105035831826,0.7913830038110177,0.7269834745458922,0.8804872358905007,0.8874923714160682,0.9293632764461006,1.0287157626403494,0.9137701512816941,0.9088191122235252,0.8423706724498818,0.859380368236451,0.9101937336724572,0.7560071303008783,0.7302727050209935,0.756496637932212,0.7082344809087647,0.8033683425101219,0.5057025643139325,0.514852701363094,0.5279094184702318,0.5340047561715412,0.5146248896481539,0.5374448573169324,0.5803678354769306,0.6270366686242939,0.750129928885143,0.7435404284883271,1.1794939334881784,1.3386031027500873,1.1058758495899967,0.7234047804872492,0.6122150487215967,0.7096233188516503,0.6010807761826599,0.7185007580067546,0.6345726393297156,0.5662359246239893,0.5966772941055881,0.606495165297348,0.7568354184843892,0.8747882572267962,1.0376064510063303,1.5496611495037407,1.6145567262583624,1.314310072247973,1.0197219955473291,0.8194755698665206,0.7566185361045114,0.7320560843419928,0.6723412320038715,0.6953422759724022,0.6135144485173308,0.7470820968707204,0.6951841893320998,0.8112723450988284,1.0059356190755087,0.8148472349148351,0.8420995235320878,0.8523020764405501,0.843641747179323,0.8251090032585341,0.8148496746992054,1.0164036160893888,1.6548701425397931,1.2987354771135546,1.2783660392513672,1.2175559373472555,1.261358816955714,1.1905083863537056,1.1421698022645657,1.392715595803673,1.0134831624425253,1.1109708536384693,1.231699200854857,1.1701900205049995,1.2774067031847172,1.2496772844348552,1.156188080086074,1.2837258610519269,1.405561769143334,1.4366779813989896,1.3592239260222412,1.4918103619752117,1.6646613624119253,1.675894516634548,1.7181573339933625,1.931975802956592,2.0530779257224974,2.2434022526689255,2.260230704679177,2.07500268789584,2.0940822939642345,1.672344544357537,1.6233020231275999,1.7676747438792673,1.740066727622498,2.0374960529727053,1.814541719405607,1.8713320132196956,1.631274973688819,1.5604543435918448,1.417847581207348,1.4833518042435432,1.6251122963549607,1.460222639277582,1.4502522951955272,1.6477012194307068,1.6500526601377368,1.4873880112498277,1.6250119367372273,2.0527236991212625,1.7362544652722796,1.6091140261771504,1.380881476571211,1.1849401410017695,1.3300721144101708,1.3441273425392781,1.4305086285307438,1.4166761870319469,1.4845766763088306,1.4342364915293913,1.5336725596107341,1.5048140499386813,1.4494664564922126,1.5312450845165135,1.722894504927354,1.778704389809614,1.770644621859458,1.862356312415219,2.0169636965780366,2.100706221120949,2.0072225347396726,2.022285224638754,1.8649671716371237,1.7795774886175784,1.6271084301584902,1.5980081878658505,1.6916651120224329,1.6012982936486053,1.5183604516351479,1.5941392005559745,1.5989831498154428,1.471307343597809,1.6275301535071667,1.8065525661992388,1.5911159917308335,1.6301091099207357,1.7233422266792604,1.8538434029182784,1.710297002799279,1.599007391498512,1.8860384996912622,1.7770468716628214,1.715156267463549,1.4870870618646703,1.4478285084663942,1.519894270096648,1.3971785242927703,1.4161178196361832,1.531986007237621,1.5611359728415277,1.416045308335006,1.163003809923214,1.1360731256732093,0.9715389693772875,1.0844423227164235,1.0793271608601804,1.182961981716873,1.0045964914935224,0.9269598847018214,1.1079206151304877,1.1483134435031872,0.7553424459624667,0.7381294465997602,0.9549072104512186,0.8349179264503758,1.460050907087482,1.302214523070577,2.6932523880488626],[1.3673462349634482,0.8962289104927962,0.9705559470689994,0.6429655888088976,0.8177517475664713,0.6521167916794213,0.5812993244204244,0.6347554026292515,0.5782256856460468,0.5488521776550895,0.5530330425573308,0.5926352268755003,0.5838419985376012,0.6282539388939127,0.653021672311686,0.6226704751150013,0.6895249519817291,0.7034438786156505,0.8153923088324699,0.7541766750593139,0.8239699527325088,0.8458151712800607,0.9506959563810449,1.0640127531111747,1.0020283775836958,0.8452837092994399,0.7368621959005743,0.7156279039031568,0.690592325682187,0.6055709545016957,0.6560963181076321,0.6104325388920594,0.6044606519470466,0.6420509622359547,0.6527071243510416,0.6741109608129311,0.6121433243840748,0.7200095503938565,0.7312152616610164,0.7471911621054672,0.7828600849019793,0.7697044286428499,0.7471092162653526,0.9457957034701296,1.4579092335252826,1.7940653388244787,2.2735342510310166,1.3135748410168155,2.741504968130945,3.125340481951971,1.8121590278225783,2.107177308852664,1.1488821361610249,0.9748682848458808,1.530103886471718,1.025383456911328,0.9551692379736066,1.7244137995437,1.2074020767006248,1.334843709808589,1.034803081080521,0.8557423370715154,0.7922812380221269,0.886118198967061,0.8816808435246132,0.7843614692458858,0.971729545978805,0.8145810448444832,0.996415096155574,0.8949539551357147,1.0816688807279338,1.320298339461034,0.9912995247123051,1.1014589445855267,0.8361106010671524,1.1723320096283882,0.7714559649764623,0.7029778100305502,0.7254732031592309,0.7273616776835445,0.6975546710460141,0.8102848979385945,1.0201338607142125,0.7811691204576137,0.8559527644026408,0.6900300291330254,0.7046061217874408,0.6778896928718762,0.6996892536562996,0.6859162825181926,0.7368558027637423,0.8751751670644192,0.740021322064877,0.6407312979557761,0.6416201630159711,0.7189781106888674,0.7349471743854185,0.6260948383092412,0.6056124181438758,0.7561010261468891,0.6108729328451493,0.7518022458860454,0.6660711138263085,0.801965403673441,0.8029385072728296,0.8352911601236841,0.9792653546683375,0.9739086708796554,0.941620224605014,0.9421751774450986,0.8255479772872419,0.6724109839520258,0.5984318400711222,0.6098567997139761,0.6242277841856704,0.6316306092566799,0.6853606162455179,0.8436064444075861,0.8971683374402553,0.7706775939505613,0.8120761909109294,0.7492947192116632,0.7200169384881653,0.6460143270797976,0.5976592618201999,0.6163351090486902,0.7673536653583688,0.6920745957178525,0.8250653330619632,0.8312229665820488,0.869509261029779,0.9666592524435917,0.8583592142113329,0.847663262565548,0.8211497933519758,0.8797427699903994,0.9412574909552456,0.8962982086271997,0.9571560752442332,0.9549556362965089,0.9108429990044604,0.9652717837225107,0.7824725132873809,0.7797404714703704,0.760526420693568,0.7507323774621821,0.7154745226915111,0.6470944452357502,0.5996795791715019,0.624474526678545,0.7106466913452598,0.7090090339873953,1.1290835039546971,1.2961423011459796,1.099823961274737,0.6905207370671675,0.6006218959297459,0.6574758553003246,0.6071869513272721,0.6757472939614144,0.663908233277912,0.6708975648811906,0.7593883164645825,0.7445744633762108,0.8960683502632222,1.0293249423952335,1.1580236643169868,1.6819447685702993,1.7215796589146193,1.4782459630124223,1.1210556040927142,0.9488788874482945,0.8281381297672609,0.7681700739546921,0.6887580040732583,0.6762145060075175,0.635102453230275,0.7284420100451501,0.6984417576703499,0.7809488607728687,1.0128788225362135,0.7764093309690853,0.8085564897816512,0.8378681545978275,0.8591246118810909,0.8663471680570008,0.8730980409713123,1.1213200298599788,1.706321416811697,1.3725517645697287,1.3272288866140856,1.2733279642990816,1.2741639396072355,1.1743789044978636,1.080710861612646,1.324091501595111,0.9534967511523056,1.0546215548266589,1.1955988926376067,1.1307863287453168,1.2165323573567952,1.147289476968033,1.0735359588479736,1.2211273541508756,1.2931627722490984,1.280027310684562,1.2597700197793067,1.3754180735173136,1.454699810168518,1.4839224074276802,1.52892119646616,1.6697860140873144,1.7686931213607366,1.9695417069373273,1.982206484884066,1.8868727334782815,1.8283973801036741,1.5607870700732593,1.4978500847296972,1.570805524227369,1.6292111795639916,1.8522247181299494,1.6884862178721842,1.6646549620723088,1.496905736117182,1.4415581449142885,1.327493192389427,1.432932929580345,1.5561000485983854,1.4205898018732168,1.4094033438750233,1.5628916719395691,1.5932152013793164,1.4689224911041048,1.6228069145700494,2.023881180646131,1.75293194734522,1.6137735870321892,1.366766971750423,1.1046287688607945,1.27106584944978,1.2478865219774025,1.3167865403376757,1.2784280967114334,1.3392727362767594,1.3026246532122217,1.355624047727478,1.2982162390355616,1.2943023478593108,1.3431537767309343,1.4558621539889909,1.5034539474644926,1.5053464398704168,1.574044469302477,1.663991702445218,1.7552056823019613,1.6694031549408856,1.692426877574602,1.5969309622076535,1.5449190483450053,1.4395711854969944,1.4409402333783257,1.5134350395704748,1.4385779102351604,1.3980582818342298,1.496876202855426,1.5041395048277837,1.4247619088420806,1.5888914069645899,1.7743146155750378,1.5821060569272396,1.6533283055170493,1.7316037526546029,1.827296883806185,1.7293683286761965,1.624718943964329,1.9059227488864992,1.854427508863983,1.71802912475618,1.5014623542885317,1.3828411678244088,1.4157551091565426,1.3185011759491876,1.3596246868312851,1.563500214325795,1.561800233416982,1.3869703037933039,1.1325978831017744,1.1014290059731717,0.9223299273784789,1.0474175861797095,1.0382936563510319,1.165061866601196,0.9898953834190832,0.8741177539653432,1.1351071208889374,1.182763801778915,0.715093452297266,0.6026066530234377,0.7794607561887049,0.7277457265483713,1.442357547838276,1.2247069890092883,2.5888423911644316],[1.4321230495240984,1.0872543230989498,0.9945482417190398,0.7733659413784008,0.9093581425211424,0.776165574575741,0.6312942675481081,0.7056350486975062,0.6174390683525857,0.4370347410305042,0.4430666375951678,0.5735532923224519,0.4568120137936293,0.3755841408889203,0.4955598175518338,0.4349554029114247,0.39044527741003754,0.3910061592466111,0.538998554344405,0.4615316972908915,0.5520866947308053,0.6064794966869763,0.7690039753652607,0.8620882078478211,0.8462988805785824,0.6231914050711366,0.4868436278846135,0.42666484130694343,0.4183046029496272,0.42953497112166006,0.4342003453780742,0.45819920639701095,0.4876218863589502,0.45382423903409563,0.4534572665229467,0.439436220407559,0.4639672986284831,0.5185988063940008,0.48998735927111103,0.5906021632589422,0.5867247536336156,0.5580205436085837,0.5510377648814494,0.8143219836186921,1.4058783768828882,1.795797104640909,2.286091970266106,1.27607501778132,2.662538356657627,3.04994575516855,1.7534690096293895,2.0642121702873526,1.0929289693896196,0.8592746212080231,1.3965883509007768,0.9234256647822496,0.7231187971583458,1.6901280459407084,1.0791093717555507,1.2674634630541775,0.8577897807980096,0.6466899693228174,0.5574415317536466,0.6711883415698158,0.6618462188190857,0.5578785259963239,0.6786817418143831,0.5012044486078673,0.7024345828714209,0.6340693210517659,0.8038544306055223,1.0693011842876574,0.7509357425898499,0.8690834022431589,0.5693837673462252,1.0317993001968306,0.4895360124070228,0.4439294083999184,0.47407104135284983,0.5670623444761435,0.5169728598984286,0.7055504155242899,0.9297417180822093,0.7304779996088603,0.8006805623301725,0.5285722365194555,0.49607210731105544,0.5387702517497015,0.46055199081487647,0.4934151329860553,0.5022399018973782,0.6935768693044427,0.5694028424752903,0.4662205907749329,0.47002133763996595,0.5755367398244428,0.610754950533189,0.5230890980877129,0.5530258355824106,0.7707357168683842,0.557624578688216,0.7585061512135916,0.6205436717465737,0.7846272747926127,0.7702113714108582,0.7938105864517762,0.8956653540859297,0.9450844092874857,0.9099832799995918,0.9195625728545036,0.8464523654418462,0.6612204434826051,0.574817156620931,0.4969262594334219,0.4038071433827466,0.4633567404608451,0.40899064738303686,0.5310334341400424,0.6301426016592644,0.4312059512200816,0.4770229253064008,0.3808922653808192,0.3949561895540331,0.3550376460700369,0.391840531590898,0.5008025834861465,0.8726233293136745,0.6648801912930902,0.7893694489672346,0.7719959390082541,0.8660494553401341,0.9398322727914454,0.8020861679744181,0.7772615158506984,0.7254988989132537,0.7254329921809822,0.7709205901630337,0.6803797267885635,0.7243956223089144,0.7616089123912119,0.7436521053967196,0.8314307547352007,0.5483069590854873,0.530476222050608,0.5189304192660159,0.5105579622467826,0.4772777508939896,0.4852279304200629,0.5248742025172463,0.5878826168648384,0.7533035523387482,0.7794331267145741,1.1741872346116677,1.398218118631546,1.204958866293437,0.7599781671101792,0.6296293188796472,0.6710211176145261,0.5549687555297336,0.6570649310759334,0.5429595607022395,0.5021999665945874,0.5360286795791765,0.5436968002030054,0.6990851368644558,0.842423520140333,1.0006919179853826,1.5549309101672029,1.5793934962715646,1.2873960273328497,0.9386207573069155,0.7444824930298996,0.6686003624057988,0.6380909652820569,0.584634182171127,0.5880328653058335,0.5567764546660712,0.6726946782663233,0.6042682123655234,0.673732182955715,0.9487696407607387,0.6744463544084185,0.7106889487410231,0.7435620308643581,0.7456720605437651,0.7604772549033246,0.7878512147137665,1.0024120311071334,1.6126075979635672,1.280814678284372,1.3144413777517765,1.189820357665527,1.2456783629398478,1.1305198184124279,1.1350417673770272,1.463879542883813,0.9897133268779368,1.076730528170402,1.2153789149023195,1.1388854584286088,1.1831343744744,1.1002819424653227,1.0478905276611359,1.184419356044104,1.2321432152609706,1.2052805084640188,1.2111329969635916,1.3174075956421087,1.3734387096590663,1.4233640017604385,1.483400456453846,1.608638224754193,1.6948915501991009,1.9212236438569494,1.9567041701707735,1.8625769689355183,1.7851369915771342,1.48276654689051,1.4195849933102602,1.4917405570786064,1.5323854379256567,1.7624402846786276,1.607001567292761,1.5591324495928613,1.392481979281774,1.3598176725863127,1.2635263961149872,1.4111914742149234,1.4979095755781702,1.3791880791433675,1.3736036166991352,1.5419066918858846,1.5543591054609343,1.4635157220660284,1.691231608921629,2.068480844365574,1.7537086231913264,1.6952364009130438,1.3715573561298147,1.0986133596904957,1.2641831136433834,1.1992416069359388,1.273462778547434,1.2065747439479961,1.2734945762554484,1.2369886303606916,1.2705848753390236,1.2033161424182282,1.2240176930141144,1.2490487418371015,1.3420963389596792,1.3908741130728561,1.3995956226352237,1.4750972762158814,1.5559511906680676,1.6724358318695511,1.5796679801361537,1.5952052932278624,1.5043464450474533,1.4448563316231822,1.342242217582725,1.3527159191141462,1.4216383242430775,1.3582476366165888,1.3146568504360587,1.4091535539847289,1.4092599876726648,1.3591094577354055,1.5244103007491894,1.6823584883379434,1.4988083795111806,1.62709612468125,1.6842269251745208,1.762960883295706,1.6416712774020683,1.5037488899455482,1.826042251589688,1.6869303823348736,1.5763788796900537,1.4246037179668036,1.3250797137267096,1.3968644945105855,1.3268228921775265,1.2600081736448263,1.4435909220149434,1.460940304247603,1.3414938787205493,1.1089450521010595,1.1136799790739849,0.936843950380874,1.0886276294041077,1.0853783141267308,1.2031638123021522,1.1015762777570999,0.9474232455215582,1.2290606481358928,1.2699164410063517,0.8349913380238407,0.6967857462517556,0.7736591489575962,0.755273861910547,1.4138432982576836,1.2150449273938995,2.460057839750903],[1.450033324883212,1.1632441523763442,0.9420645221981709,0.7556164050218481,0.8868954692132236,0.8059067837409034,0.6676991018948425,0.7170526726372798,0.6538891070233889,0.4847736916066534,0.4897249340679543,0.6097672616548389,0.4931376474316574,0.4222327540565284,0.5423981955439232,0.47072536984123675,0.42662346997848466,0.4088320827571169,0.5420078532447136,0.4696235650637151,0.5491650560558407,0.615601347348403,0.7879169231052714,0.8672566613329672,0.8567156349496048,0.6230509123719122,0.5109799241320551,0.44993839259419377,0.4553535405549745,0.4678868358670561,0.46953053542556783,0.4876110028966585,0.5236462175056138,0.4947890538891785,0.4946133635790548,0.47977436326514766,0.5048460129554271,0.5691775420108653,0.5220415475461117,0.6314902020641314,0.6110797394509935,0.5797539462707374,0.5755663215242879,0.8197927346280783,1.4383419938865902,1.7975504338861705,2.3237566583644367,1.3095105941018095,2.649558921628116,3.082886993293165,1.7881275742450713,2.0276987592942914,1.1252800052731202,0.9051507293575533,1.4090461705448625,0.9555195261576999,0.7127965435034848,1.6987065042913303,1.108266851733113,1.2901525626349817,0.8666615422668354,0.6671423499801027,0.5711438498639131,0.661787404666971,0.6603142751676842,0.5787694477741174,0.6381382048365939,0.49355575352151293,0.6763420034477453,0.6169211727791158,0.7684988829757181,1.0172054355728102,0.700662375628916,0.8412849026346325,0.5603440118035504,0.9733437177405632,0.5114359227745344,0.4827816318682112,0.5065271133985739,0.6102320107717862,0.5460037334706993,0.7495288480507407,0.915212551144383,0.7684939303590329,0.8037067146119636,0.5435977848689647,0.5253196096046037,0.5678593274131843,0.5003487848053371,0.5183184781569696,0.5331359997947562,0.6949770715598533,0.5907753559296667,0.4970063606203317,0.5010512794856938,0.5923044490863062,0.6285778983305886,0.5641817608020899,0.5945378261669947,0.7831759475052757,0.5924578090962205,0.7701182647757197,0.6495797699812492,0.7634257432341899,0.8062026211777056,0.7783052552215939,0.8544038378811699,0.9446059414288511,0.877424405883543,0.8501378228857797,0.8395364288304145,0.6756159746770445,0.5948021305229944,0.5218202285842132,0.42624519040126546,0.48366800893330514,0.4251220450558502,0.5148712638833225,0.5984011775513981,0.41579254793234455,0.45563463242032337,0.38486911386157324,0.39812673591525577,0.3766304022169866,0.4283627867631074,0.5273423504079378,0.9270591066195446,0.6649136044819577,0.7630957163645595,0.7396918471109912,0.8318043225082768,0.8824900837874579,0.7655083416903342,0.7437635982772758,0.6978739459871545,0.7021655438641846,0.7384301731459085,0.6645444468035061,0.7462843690327813,0.7702198463367737,0.7498024022302291,0.8487139815199843,0.5626655072854525,0.5524470811859304,0.5448319246798478,0.5432725668045785,0.5172232066500635,0.511791082628899,0.5511600486450392,0.6105527452172997,0.7685609300285382,0.7717378580052217,1.0797151061819132,1.3664624572825506,1.2048924739102471,0.7583136795415071,0.6504113226245783,0.683366030185593,0.5821292027255177,0.6625222587864723,0.5587340319981539,0.5294556363931922,0.5564823795606737,0.56988260304845,0.7072647014455804,0.8306353159928345,1.0087239518219804,1.5603021580298386,1.5673956439147636,1.2635965411284467,0.921034127888897,0.721389506081531,0.6640092167474054,0.6431032821062507,0.5953723117000299,0.5988946931837247,0.5911940953420844,0.6775455680479523,0.6224840055989725,0.6599055063323426,0.9692566765903898,0.6600490722062544,0.7033076036177871,0.7513601875564111,0.7472444796998019,0.7645429406313158,0.8131841332881643,1.0203415924824062,1.5976877901860356,1.2704039166764003,1.3316847078319471,1.1761877363137714,1.251638481641846,1.1264635063799695,1.1465218149857839,1.4930297217003197,0.9724564551483535,1.0362519798068952,1.1602230001208378,1.0780190551148032,1.0844852136103598,0.9931633388958485,0.9593272829966067,1.071893351708663,1.0978909539376633,1.0728941464685575,1.0941055622484006,1.1815140296074609,1.2082603696363785,1.2900501121161219,1.3611587975869917,1.447355322014437,1.5267073294275255,1.778321381879739,1.8101887171783253,1.7505952529341557,1.6090004110272793,1.3366331663148943,1.2656243358455643,1.3178254386254824,1.3558802031501862,1.5891794952556095,1.4562454413191386,1.3776641768010687,1.2509851879686436,1.2376359045611844,1.1606950648512184,1.3339923622620122,1.3792864715136581,1.2863000585064663,1.2863236356529535,1.4639920062480933,1.454308450110419,1.391561994951015,1.6752295563739026,2.0049447792643065,1.6824201393268978,1.6771064562685534,1.2972588659608215,1.0373509346306857,1.197069137431389,1.1035231874860782,1.1786276794861845,1.0823037748842086,1.1695502603390218,1.1240553728535914,1.1259922958036435,1.0638471164346133,1.1085972226105067,1.0848366038635238,1.1548637425399493,1.2006014871459745,1.2198257359689297,1.2841242848629617,1.3465448155400666,1.5009565407555918,1.3861183161600732,1.3814350352714744,1.3106185027122652,1.2590221599274924,1.1685476150430056,1.1900964972070422,1.2484938955523692,1.1992339109823658,1.1668274123150384,1.257556017390056,1.2450709681611245,1.2282121202785317,1.3986734935910783,1.52533317379212,1.3458112720872455,1.5165947103749444,1.579757731392353,1.637845874535462,1.5053208261578002,1.3461522717827288,1.7385481656928223,1.5637912391685362,1.4394244491433787,1.3586181330860783,1.2080052991463568,1.3252040909134593,1.3384811794024856,1.1190210575325397,1.2932630609087234,1.2788429655632307,1.197758544176744,1.0033896371527056,1.0485599017444514,0.8930766591010335,1.0157853218940716,1.048683107775067,1.138157449138233,1.0994472403683389,0.9519081079544182,1.2091682731650786,1.221466456490637,0.850133781167257,0.7035567457613745,0.7638758675967497,0.8071831245036923,1.658198261837221,1.4214599045999323,2.434285832350542],[1.1650257280812455,1.0546934157599046,0.7182451554789457,0.5598774684216146,0.6654608075085329,0.6224963613618094,0.5101533967588577,0.5342770992589163,0.5348179827070207,0.41599893438080077,0.42649154772270004,0.49653540512562155,0.4007003192517345,0.4036562314667645,0.5385093762425189,0.4301971443295944,0.43833215578563556,0.45145514689202026,0.5989592201227278,0.5211484429927257,0.6132122152335178,0.6648413359534742,0.818766209657586,0.8865495678235055,0.8495566957736267,0.6574622687305307,0.538983991831607,0.47637820873307235,0.4620223218249969,0.42729236082508837,0.4914081231257985,0.4405100198128797,0.48192744250507374,0.49092271897832934,0.48137060772668,0.48905342680871816,0.4421599868789146,0.5696690442121113,0.5274040715721386,0.6176096351120165,0.6232687282336862,0.6133919368019234,0.592978091389929,0.8089915893286657,1.3804576779383049,1.8088494096618541,2.246604847365172,1.263716601731291,2.595252125374286,2.9235672751393884,1.6576345944857924,2.088435663590546,1.0513398718263418,0.8935502694623362,1.4291940626031374,0.8920659376531045,0.6990102255971198,1.9206532300455914,1.2146244318676105,1.3932361070346577,0.9763025689342685,0.7286121871996882,0.6093546406659326,0.7467185156469315,0.7313620956432348,0.6140281534975333,0.7222261260222339,0.5655097359732446,0.7398282294719959,0.6881310011374853,0.8202039060856915,1.0757376955120075,0.7693807661773144,0.9017350586628544,0.628801312998101,1.104905433620302,0.5715594117137354,0.5188530135108247,0.5291451685092466,0.6084547830360766,0.49173976806890674,0.7373273507717489,0.8924122118024177,0.6698905054501225,0.7908727075012761,0.5033459950579319,0.5178433969793302,0.5023067501836841,0.5168481115032807,0.525611943295719,0.5627066242131264,0.7640929956719591,0.6262327568504032,0.5106340275225631,0.49191942645552983,0.5873524239795913,0.6021501156166972,0.4965642613190727,0.4742809812593749,0.6393243629663915,0.4652837043080042,0.5975612550164892,0.4950851805595352,0.5655284295298688,0.6778848714657232,0.5837125573587285,0.6402803604678042,0.8122166609551329,0.6714179203420996,0.6299132240887811,0.5847039308853532,0.4852583384639845,0.4440301296171173,0.41398192562965397,0.38391427906875086,0.44167175037706047,0.4171384888603428,0.5395048070025545,0.6772133330076139,0.4724964905869208,0.5257719457857453,0.4162736379502864,0.4194025014045858,0.3725281957842792,0.3705497530069576,0.418739717218823,0.6768047988488824,0.5055995056126518,0.5564075476918305,0.5675626824547371,0.6403279763801644,0.6737791652652879,0.6336022247079801,0.5848530656460666,0.579688670952009,0.6311591765729018,0.6565202977968059,0.6013372465578589,0.7093986351912026,0.8355981551729436,0.7312277784599804,0.8355970177906132,0.5691893560293098,0.5604170350937988,0.5537440500868134,0.556918651612635,0.5070862855168097,0.45006254925762795,0.43315103686322076,0.447103005786427,0.5788683029878655,0.5839197941914028,0.895614045577598,1.297828908749785,1.1603970905546523,0.5690415981498607,0.49062134533800567,0.47760391588667206,0.4510001799534929,0.5101180922202103,0.4710875490110468,0.48499287909544786,0.5548422591573291,0.5624626716142738,0.7029621468043278,0.8189053728421838,0.9984868131439234,1.531843563866727,1.541997544157299,1.2746889237887074,0.9066865417482571,0.7189532399542061,0.6411709236876503,0.5579925806581759,0.4929183600748119,0.4713318203445083,0.47863218694530646,0.5604681890354392,0.5502608686235995,0.5493102713360202,0.9003544903023986,0.5439162730813083,0.6249421566820426,0.6677458323713998,0.6864033828969991,0.7410914502092183,0.7986811098675497,0.9970447437130238,1.6064900539987506,1.2840276281454706,1.380115177471507,1.255770183609395,1.268759296948222,1.1300881790711481,1.0420716156020267,1.4033460264958553,0.8624508466860468,0.8860049453062498,0.9951725456854144,0.8798490546578036,0.853219509660173,0.7479695628476078,0.7215672412073034,0.8356906703575219,0.8514387589074266,0.8963441455426429,0.908995930332767,0.9630708953877533,1.0336567768510274,1.1672281273997458,1.2103913275952416,1.300595837149519,1.4539851081705644,1.6589802174343207,1.6846839659680741,1.613171314156689,1.444971164027456,1.1501011823608014,1.0531100908819577,1.122639075922012,1.1247054181055844,1.4177977261817074,1.2283093197307773,1.2170615476300428,1.0408870888376511,1.0000769449513143,0.9313016370316903,1.0726757067707948,1.1227333803187924,1.0531900336456113,1.0458092116617896,1.2522911020760934,1.258140485395033,1.1717373410496486,1.5149403760447124,1.8232262903358458,1.5257724878252334,1.5752927621578892,1.1064569751761926,0.8360483127757884,0.9807832307291132,0.8563069302310367,0.9453124344758521,0.8407711906051002,0.9867189931084769,0.9020926011166827,0.888604725746417,0.8724213242763224,0.9280719851413746,0.8949129790091587,1.003982368890375,1.1047623886911324,1.1063320853702536,1.1398109799007876,1.2552898995864918,1.472191895632958,1.2797868298618242,1.2381263714642412,1.1198131777009002,1.0345629016958258,0.9413725349716724,0.9367718910288403,0.9984048432956936,0.9574665134139277,0.9116040657111104,1.0047854726560994,0.9996018788656407,0.9887757172357194,1.1778561209007503,1.3082176746898264,1.1333465004484369,1.319632193350639,1.3978900411625887,1.4863917055883522,1.3495487041816991,1.1872703757355125,1.6364309134264243,1.4912187512903021,1.2931585718646617,1.1997612166532279,1.0201577016220198,1.1562973020886962,1.1562635166093151,0.9341097972128339,1.1777894210975224,1.138118609834455,1.0100510532244913,0.802388534402589,0.8424971930585486,0.7290595863533798,0.7887015100202327,0.7682054448209078,0.8469138878345338,0.8995843832085876,0.6967620286962135,0.9453976279682893,0.9474068862563684,0.6384273121449775,0.580465723635631,0.6092531519049333,0.6569379084938818,1.6310799199862747,1.3675068456160508,2.304992013012589],[1.302023264522052,1.0870828098517449,0.7704026137363749,0.501756121427478,0.5733045934694571,0.544281701364164,0.43755791832128743,0.43514019389805064,0.46602567525401595,0.4249005542702347,0.4506777821046341,0.4653108536809635,0.45439236217566825,0.5204138777373499,0.661653818879863,0.5606578126543263,0.6365285822421168,0.7297755448544054,0.9054640577676405,0.8355048627709294,0.9539943178288995,0.9946361447959955,1.0651554067434037,1.1810287397764743,1.03756565599779,0.92673414141012,0.8332537854835677,0.7665259963140856,0.7182007931237303,0.5823098758146107,0.6872437743145116,0.5694134527444361,0.5789369000446498,0.6750838733707308,0.6758691933852856,0.7237925377204358,0.595239275189351,0.8211575210428333,0.8139229425756991,0.8644330901538848,0.9045239680041598,0.903544553068222,0.8469341229846516,0.947523150735506,1.4373505828449855,1.7882844575059749,2.2755492658782526,1.3807907939704827,2.5824938661164665,3.009157815110546,1.8350035062810743,2.0892415720531172,1.1179716021477837,1.1587066382535274,1.5856661681234383,0.9830452200342193,1.0616246196000982,2.297796138468226,1.6155052143374597,1.8019340922916331,1.389426711488446,1.0682659814408855,0.9298292096755717,1.108684146633803,1.094560463747762,0.9463477870149644,1.0635134339654002,0.8918157285483227,1.0244348458111787,0.9406906403449018,1.060929739465519,1.301650229513301,1.0126511577801207,1.178747346409934,0.8987105339535565,1.3550405646453165,0.8862420596957272,0.8067927343380971,0.8190790071694345,0.8762078833836439,0.7410156095165172,0.9361075371637597,0.9463029904866462,0.773288797683025,0.8751317407407214,0.6878585486857121,0.7843295628251032,0.6646015760621311,0.7794739982091299,0.7457520147719093,0.8131720779418193,1.0024852614973712,0.8421002569101184,0.6636713729150163,0.6310902227815133,0.6847976096852593,0.6930186484691098,0.5561699063968917,0.468791628829775,0.6022312254626968,0.49249300050429884,0.5694407774125728,0.5158897936393915,0.48184090084093584,0.7884671011351537,0.542865739153332,0.6387421674179773,0.8577379892838409,0.6354829317611176,0.5505146607735738,0.5208965106337153,0.4663003314432319,0.4112586342505752,0.4733034881309021,0.487572326223373,0.5204352408394438,0.6238818078567059,0.8303024255516408,0.9966512316849717,0.7449000820352631,0.7731073382136372,0.6054095231472303,0.5979361792887656,0.5268190125082745,0.44621642561435665,0.4467209581433616,0.6060296830900143,0.47085159178722585,0.5012339255495485,0.5521101050646317,0.5874626670944127,0.6278540016182095,0.6794006698324684,0.60117769130006,0.6322979462265381,0.7160262834014924,0.6927810330958284,0.7188712115308595,0.9404886211010606,1.1272863678890634,1.0176769972147093,1.0751251449712933,0.8939587924000031,0.8540566492134127,0.8402097248942054,0.8183684351668065,0.7512192828925448,0.5726169989043516,0.4694846711064503,0.4164025535125787,0.5023026806995075,0.47723066108810086,0.7415142930893348,1.2383455773766148,1.1263319414222424,0.4989143896493715,0.4432020222224477,0.4163048097507314,0.4848828216713101,0.49429471182001683,0.565222609149081,0.6731100206268427,0.7968595818872799,0.8210236386742114,0.9596843739839848,1.0787091119976422,1.249577474476263,1.8071866972776096,1.7293714643553446,1.4251748784889133,1.0554812849864745,0.9017829970537969,0.8118607404336003,0.6917123465294513,0.6140318749808219,0.5796231046960103,0.5769632376465134,0.6224533282920804,0.6702749892926311,0.6380374830991222,1.029307517937536,0.635529161607845,0.7658342168328994,0.8385313491295401,0.8469132875751162,0.9262965269795987,0.9605296662030135,1.2946034489918208,1.7200852248951306,1.517284725717505,1.6365950153161883,1.4749206139157165,1.484035877586442,1.2733542148953247,1.106738012716128,1.4364899120192396,0.874550608551651,0.870380519696467,0.9718110801403417,0.8231697162389922,0.8706440508855776,0.7289658505378347,0.6825998965495869,0.850246059434911,0.8802958094806097,0.8739062536563266,0.9230763914933806,1.024165118745552,1.0267539671305568,1.1586244064942393,1.2479243474492512,1.3257796229915348,1.4223461313179497,1.6788103715607285,1.7337343729234433,1.6841603606422069,1.513510360027813,1.3192502068341843,1.1813584484116002,1.2352134794777963,1.3027148425336297,1.562719557587811,1.4563975019514313,1.2751957441459143,1.1654350686560988,1.1312245278456559,1.0129929546793714,1.244747197148136,1.3049034749111117,1.1872643668736902,1.1557793379015382,1.4214000089476282,1.4024689258084526,1.2870889968722676,1.684440582108606,2.0087288406350865,1.6267291681299463,1.6198495746434858,1.141228748077568,0.8518179305131554,1.0419973573748438,0.9165128456141987,0.9616836648817608,0.8405291513976578,0.9565581515129632,0.8889701356723491,0.8922159549268817,0.8243506971273789,0.8856204159020145,0.8504806458776413,0.9335239944684068,1.0152799797779848,1.040576755649304,1.0934581075040342,1.1803308523582596,1.3957184637410676,1.2454975012963982,1.2207251659409675,1.1487144421653315,1.0802018114290912,0.965777299609152,1.0274339609395018,1.112963127242834,1.0339033893139624,1.0147391974555775,1.1688749742122455,1.1500389333049732,1.1069750579088278,1.3701388506371746,1.5198906965358132,1.280639059978144,1.457224792291479,1.6217585716006986,1.6723758586788904,1.5080953692882408,1.2965413532753534,1.8540115125100478,1.6131104126680331,1.4812582394769975,1.3413050429610465,1.1176335626561136,1.2237008518821622,1.2894545051436022,1.0148579615752367,1.200814714442615,1.0589848876763286,1.0094479972558597,0.7386005221522896,0.7715004322465725,0.6267918200621,0.722930787371582,0.7311211526768602,0.8278911688401784,0.8299702414252171,0.6566251413842974,0.9367424230151326,0.8978535085534649,0.5647437719077095,0.5853411925900065,0.6226902595806997,0.6682582606580406,1.7852016385756708,1.5221709108561965,2.399004994339768],[1.0754171399678853,1.0036842522675091,0.6616017965746291,0.4070431904832961,0.494685803639774,0.4976024272486246,0.5357161110212905,0.5296086205464495,0.5935103367376129,0.6734749680812089,0.7020790653910798,0.6662246263238127,0.7445056256107532,0.8078553150987215,0.9351354146989111,0.8704022646536923,0.9579232444276711,1.0529874701028246,1.1817707003411018,1.153554144819232,1.2475673659185673,1.277640321116144,1.2841543721148885,1.4187193109103529,1.2422841141990741,1.18576516756901,1.1311939053082536,1.0901549873056005,1.0442338990655824,0.9145070079538392,1.0035951472224123,0.8981330621109224,0.894897269567011,1.0068068799563528,1.0080532627988963,1.057511433392942,0.9279839945737346,1.1306700582183136,1.1350176218546768,1.1642640851779325,1.1960854352421388,1.1986974686624856,1.1288413284144754,1.1728116784894043,1.5018332778165553,1.9127180406539772,2.263981572665389,1.4850837039627787,2.6300878070382887,2.9423206283174914,1.8581657904436364,2.2536476809938986,1.2149583419329208,1.4065666569713269,1.7935064362670656,1.1319326295621321,1.3574658444973575,2.698795081600409,1.937170569718766,2.0951239301824436,1.726636637255745,1.3796070029044143,1.2447787837459585,1.3996789357121224,1.3952890301610559,1.256524507184427,1.3543338984442477,1.2005040143807162,1.2796229939110773,1.2061246371797727,1.2935733088824461,1.4852387910211406,1.2613615954368402,1.4076162714176155,1.1921920610679866,1.651980767573237,1.2016031452588072,1.1353990955934625,1.1474285911479982,1.1849923684785555,1.0813528670278354,1.2426353228031461,1.2118354623384189,1.0030155859428436,1.135687589434661,1.0214484155082697,1.116103022618984,0.9904814889036336,1.1084715763700284,1.0758077641759896,1.1268396822692772,1.2986157389677888,1.1406587110498974,0.9723298925875757,0.9281738364072842,0.9427553806135953,0.9310617731926178,0.8346822518995282,0.7247993605048131,0.760044161225925,0.7754490058240203,0.7391750182635602,0.7899710047149827,0.6549420020178431,1.0042337174822498,0.7010408538500964,0.7354793047082526,0.9497488152561334,0.6475285724472667,0.6081494343258642,0.5484710248775013,0.6672637794506386,0.6419482501889663,0.7505395810842406,0.8056552990107186,0.8007820266195934,0.9358500602801876,1.1365468098761142,1.2842297324350211,1.0480124333818406,1.0487597519844365,0.891343187609645,0.8790851881156156,0.8326237976731636,0.7334296242172331,0.6999651777675634,0.55294281924242,0.6458246912923711,0.5922734923564282,0.7207116771673946,0.5952770229058862,0.6310119453469081,0.8284047030280883,0.7809374159038649,0.8331369415783154,0.9570406560962228,0.8769511864721812,0.9108786121200335,1.1301538398632536,1.4554340971121722,1.280016243786835,1.2794806627227178,1.1780207764014896,1.1566289481881702,1.1509446221347783,1.1378303742147424,1.068432533437554,0.8845576299136135,0.7561985239166327,0.6471967059982326,0.625092070170575,0.5871559704104669,0.707016015441669,1.2974492779952844,1.221521609102555,0.6378534660607269,0.6638959732771468,0.618868594584098,0.7620589084642755,0.7231130910981034,0.8716524044474762,0.9953582104766879,1.1090290406127143,1.1345296519977746,1.2267349340433344,1.311430955935504,1.45513352525504,1.927765792217727,1.839556720444532,1.6002627386463928,1.2547335986714945,1.1662641502848536,1.1025204736857095,0.9799850715230072,0.9201318536965124,0.8910565019159636,0.8803515247965147,0.8948601778678046,0.9726355724317627,0.9260635683917704,1.214771454569523,0.9220745341577274,1.0354887940844277,1.0727109938221473,1.099086531434263,1.1920820366746359,1.212299170463182,1.5279774260854062,1.9057391275383317,1.7362176979158666,1.8644981150638371,1.7691278474024341,1.691705300262339,1.4720976565680448,1.1434782786466609,1.371291807381094,0.8277569441433656,0.7599462994358346,0.7955089801595618,0.6739161975520004,0.669917595428605,0.6052842030420564,0.591970229289152,0.6746925699983038,0.7193261895588541,0.8725936999958197,0.8676154793914826,0.8969658430099188,0.9778652321540264,1.17153328935752,1.1996434391264972,1.267838926567521,1.4523931302067985,1.6492171358741534,1.671152483217569,1.6160248172685892,1.3990381372159915,1.1615551364077172,1.0065027890121228,1.0743129315771327,1.0684611940264173,1.3668368160307542,1.20616283516377,1.1137109063661235,0.9591380525884183,0.882064431456497,0.8126978725968553,0.950975824294631,1.0057583817141793,0.9323238444770326,0.8812540367178072,1.1493684119850724,1.14749065627355,1.0130099631465201,1.4580409479696432,1.7329791619800485,1.3824097878960335,1.4388379603476766,0.9157250938556489,0.70424324028401,0.8276316420635808,0.725877477082957,0.80972175705799,0.7249214245055359,0.9037586442862562,0.776872170032542,0.7634260369790468,0.8097639449670903,0.8812042346078592,0.8298975481713866,0.9695964607518089,1.1244521594429133,1.1029422388639698,1.0843581898094592,1.2365273206056857,1.5018057892055006,1.2474902045427672,1.1676496029829806,1.0370678841767307,0.9386562481265597,0.8421726378584521,0.8062989008962913,0.8992662458279204,0.8556787079579438,0.7842294911268669,0.9041200936924042,0.906843739348627,0.8594070665014718,1.1060133212084002,1.2671054163361886,1.0496194934579566,1.2007291007790903,1.3753774262646752,1.473847420878727,1.3098175577701394,1.1236531196417052,1.7094521163778804,1.5190366531400736,1.3279444289885143,1.2289588805227865,1.0147026206832137,1.1854416294222965,1.221958483200112,0.9405164586018253,1.100531370545874,0.9296254762862343,0.8509144291562053,0.6286285231682699,0.6155719098232108,0.6124497208428797,0.5496299038064224,0.5705963699382673,0.6125547409421752,0.7329900848805785,0.5613771271288881,0.6968950071486294,0.6559716153765768,0.5081700769491801,0.6238890437751552,0.6250454886638191,0.7096097509596418,1.9093321816675253,1.660695238984041,2.447378390381616],[1.0368708612029314,1.0110402605010793,0.7219291187822031,0.4124180507045554,0.4862556698506523,0.4837466914844558,0.4834732445068405,0.47372457746346347,0.5129302515542141,0.5010529926603928,0.5159169947294872,0.5274855174298907,0.5308585858521947,0.5540624050042741,0.6852625153339372,0.5943306608848514,0.6389482019509863,0.6744899106617704,0.7699570375328293,0.7287149904196815,0.7973906759395379,0.8389552207006754,0.9013570499167247,0.9863058627617912,0.9005881616571283,0.7730083048588177,0.7235856348783923,0.6984443318514473,0.6911275960258326,0.6179157024461508,0.6855378219679426,0.6306198499801752,0.6347055307721933,0.698805317904717,0.6975968993284901,0.7132319624133597,0.6342736527187035,0.7960810051096874,0.7709732565759575,0.8218489319186106,0.8134176537649328,0.7948387279924892,0.742242668324536,0.8684444202993981,1.352721474576339,1.8059246691987143,2.201398155128086,1.2716439198764062,2.5727313285630364,2.879178272409042,1.675911549885943,2.1438541184818543,1.0497622387622314,1.0656849789997176,1.559006208616658,0.891996430597959,0.8884525599765442,2.2748246943936685,1.5089542936206168,1.6501164174270246,1.2512377888973836,0.9442488440931348,0.8227972459039209,0.9322710289728153,0.9274222295818261,0.8261603288694673,0.9057916437911614,0.7761858367835723,0.8820507687050199,0.8429419299861391,0.9374014874609601,1.1575180334760224,0.8843403105916399,1.0252743762121828,0.8013960396769829,1.263127340506026,0.7901178783415973,0.7421450046467256,0.766262795051821,0.8229542705335234,0.7326188288665922,0.9380318642334605,1.007423841319891,0.7753295191097384,0.9035869159905054,0.7168049688487645,0.7597525413119007,0.683505882855131,0.7408025962358334,0.7421760865864552,0.7742915289799814,0.9426253189450772,0.8160437298895002,0.6715843457113483,0.647967007636986,0.6971230242605401,0.7130249980651702,0.6182100691847834,0.5474548015324991,0.6587285439749716,0.5899325889400517,0.6385666065397586,0.6088492405250172,0.541520662142384,0.8621638567654578,0.612613262182817,0.6726463115099083,0.8974879466855472,0.6223359220311951,0.5803871273583623,0.5127831166009567,0.5623817551441923,0.5293251215804251,0.5693703438229659,0.5621888929863877,0.53650267381606,0.5878158137389881,0.721782153868729,0.8384320703516231,0.6503216476002692,0.6756983695958649,0.5696888511047535,0.5569042272967075,0.5690078765106821,0.5570818275611996,0.539767811755088,0.5102156326655619,0.5563197538157997,0.5219057783792933,0.6238976448619328,0.5313798150498473,0.5679896159741183,0.7145867993859296,0.6572380170459476,0.6930841502285174,0.8090120382067961,0.7962554056288343,0.7330335937023655,0.8831235007520195,1.1371824397150287,0.8787143176517946,0.9324391515131892,0.7578619111277243,0.7832766225519935,0.7828479176952612,0.8129457815898172,0.7644883868431842,0.6405574142887047,0.5694661516978442,0.5099644632720718,0.5518633747195766,0.5166005887602323,0.6799682411312065,1.2526418819509433,1.1781777314113586,0.5497797786129374,0.5338913533083652,0.5036033696979882,0.5792337831671418,0.5829108932496861,0.6612854293778363,0.7174559862365042,0.8070741183864099,0.8181384472224186,0.9353404668630165,1.0141625009882753,1.2073046200821234,1.68298562451275,1.6771602986015932,1.4354426127735933,1.0858121671050522,0.939716528961124,0.8697025021414116,0.7456341592027229,0.6762472731502366,0.6769383867237518,0.6509729110409558,0.6984869688649306,0.7298239968274399,0.7114430519127504,1.0264665556275192,0.7428516648737765,0.8412932443168561,0.8585096176705589,0.8750865702638887,0.9192553602511622,0.9313203847170372,1.2031612972753682,1.694812207298828,1.460948170837182,1.6001129735997859,1.521508309115807,1.4981061336238055,1.325433046434774,1.0366026926716088,1.3064843227305845,0.762466680060138,0.7163998208557422,0.763175862336017,0.6486070112805675,0.6375259568803961,0.6013709425828456,0.5870720041725309,0.6558975606363954,0.7166730437015972,0.9096821664596255,0.8869654343671058,0.8919639366828929,1.0099360008266596,1.2114661175035921,1.2221867603422727,1.2807741593577004,1.4896720983172114,1.6596719645902647,1.6488074070252063,1.5855920582180554,1.3611108050887981,1.0857178005170438,0.9519791391348953,1.032538849397764,0.9496204197720881,1.2645684724969097,1.0617491698924026,1.1197158173583284,0.9251065781330025,0.829722571087048,0.7901476165768734,0.8474257423108073,0.8808706607717054,0.8499655414888276,0.7930456084705338,1.0202734792400523,1.034909291173818,0.9091910400392216,1.3432228050047554,1.5768738481504265,1.2749864806587583,1.3863437524141629,0.8508161659258928,0.6678207574790653,0.7744961126145626,0.6980506732203158,0.7907489921683762,0.7364855330963131,0.9065444926306394,0.7724838805377383,0.7706705860864773,0.8320379433460933,0.8937625761502141,0.8671907598163452,1.0143013149640965,1.1659003304659166,1.1488459014224435,1.1275590740010917,1.2810720229363008,1.5489596664568963,1.284681931215015,1.1904028203164283,1.0420331993641556,0.9418384694105005,0.8601689112719322,0.7735933128062235,0.8552455450518052,0.8353908635832181,0.7384089070548892,0.8026792457150203,0.8175080806725192,0.7749990172807985,0.9660280405593918,1.0930084875557122,0.9314586822976036,1.0728685051154903,1.1950747110439754,1.3303175062765689,1.1852131366992327,1.0393142629164411,1.5721550870620977,1.4522489293657936,1.2288317833388398,1.194674003961413,1.0074133658793647,1.2131352122635986,1.2451259751295698,0.9415601547116774,1.0648247340807273,0.916410445568258,0.8258805643908518,0.6250170773062492,0.5949079437501744,0.6090180216040021,0.5376901743994682,0.5549960327236292,0.5905082586558099,0.7119816705458425,0.5475318245517496,0.6626862218153056,0.6185476333930436,0.4975636548656483,0.6652526136001818,0.655156915771942,0.7218467469019351,1.9791576357662992,1.7426491060237095,2.4806023919250166],[1.3032344864321077,1.1048925990773935,0.84472862799686,0.4379940497366486,0.5534301594783586,0.5678749797219594,0.5323209279698461,0.5187732063339139,0.5434900391972584,0.4881502642410874,0.4968732584574332,0.525968098257051,0.52550733344288,0.5284494096094592,0.6661586284833684,0.57513595914735,0.6054459859680071,0.6438374844603659,0.7677481692529091,0.699461516224426,0.7641314934860218,0.8142375206734727,0.9127553112902097,0.9737891392705291,0.9246457027267387,0.7697154598799301,0.7238829057421144,0.6816212308250742,0.6700319643142731,0.5958926027531543,0.653298708243255,0.6074379793472119,0.6028727542244801,0.6720339811805328,0.681120240033105,0.6937365263475218,0.6234689932961097,0.8047402814259556,0.7681012440333945,0.8362023974755609,0.8295078419246961,0.7973211996121482,0.752155927361269,0.8782945247681343,1.4747385791042467,1.7824786343558783,2.3441900443297823,1.367067244943313,2.562908233295645,3.0212162014272272,1.8113945594543814,2.020936334187003,1.1374404127864781,1.1329822834730063,1.5565325909339374,0.9910657539000602,0.9923378954828288,2.175754422380291,1.5137294895953362,1.6358396362150756,1.1883410531218208,0.9072752614571002,0.7858361700169014,0.8991266587920069,0.8892004677291594,0.8042166840466225,0.8540514418999627,0.7450606554950229,0.8578267027561333,0.8096611271205395,0.9133730637207834,1.153435008775567,0.8447444846466874,1.0093766028548792,0.7684257223964667,1.1565332991851744,0.7751424197569964,0.729516825469747,0.7594499352207457,0.8329076170848515,0.7329351840349749,0.9425984036398869,0.9356949372204051,0.8067273972427915,0.8711598859702713,0.703772985468489,0.747410562757331,0.6827999435047873,0.7293355409009603,0.7126052469467671,0.7569105763512276,0.8917256531315126,0.7792372701559868,0.6431729491275701,0.6323870501038474,0.6741398650262493,0.7083513813643832,0.606365242191203,0.5512492392053114,0.6891443682953585,0.6037768598875379,0.6825373346965075,0.6232754507298418,0.564150531325182,0.9143115078605629,0.617519176344976,0.7118454244126032,0.9272853091891395,0.6406657409153685,0.5508262515085762,0.5537525045129414,0.5804032562332647,0.533480512890356,0.5728041184608256,0.5086494483490053,0.5182188802649436,0.5681201130848123,0.6820268384399204,0.7980377227299045,0.6198110570465091,0.6471553914000174,0.5384034555594303,0.5303587589518571,0.5196518881506581,0.5180358598255346,0.552967543107948,0.6720970592359042,0.5557211618184769,0.5517500554136283,0.62323984546646,0.6078910344933092,0.6478091999877973,0.746802291837543,0.6779962743851272,0.6934667479098946,0.7630548007385722,0.7297708183631147,0.7692567263854132,0.9701561940353101,1.0827099794418769,0.9004714021973628,0.9714683207929068,0.7673633192512713,0.7825146548547863,0.7807574627459868,0.7934122114944332,0.7559923061997021,0.6203431109542871,0.5720369279395604,0.5182682540967063,0.6043672246951278,0.5261519951616354,0.6562780390631947,1.20988694159834,1.153487524963103,0.5952826523700963,0.5655389648272974,0.5419353394930464,0.5912670756611463,0.5996960856142364,0.6415383976348141,0.710042218768158,0.7842300013422033,0.8080107010191192,0.9376016395710535,1.0136194953526605,1.2214915144050935,1.7443486850475443,1.7011801016780579,1.3861848655070146,1.0537195658552212,0.899599305054941,0.8366411855060583,0.7496241803801991,0.6839409745757309,0.6717256223736907,0.6629047974712363,0.7071439753863696,0.7405120280386966,0.7189644130140355,1.0957660474408475,0.720687119752263,0.838189786470669,0.8793115641818295,0.871287748983264,0.9049947245392741,0.9403405010399337,1.2256014004072167,1.6497564789966,1.4332678623082074,1.5783533385453703,1.401042743171318,1.4674637925794485,1.2924878723036894,1.109361097184448,1.4157966200513452,0.8841104347351253,0.8387273263848121,0.857367693906264,0.7253519255672312,0.729199968457591,0.6171548912491021,0.5910803013355664,0.6918746734204276,0.7211700847124224,0.8077991558213541,0.8619850286947456,0.8986102700979488,0.9177648362052986,1.1220074132822822,1.1951891368542662,1.2222123143973054,1.36299154168578,1.6234797972710004,1.613204244565978,1.5678022531744389,1.3520766634160488,1.1648319987978684,1.0126458904890945,1.055280376631727,1.0469195549753239,1.3141749254096473,1.217588314519326,1.102400151560886,1.001688246631273,0.9379982224725629,0.874852447702941,1.0533353421644198,1.063999800261039,0.9986176073854314,0.9795705144839377,1.2290941581144628,1.1975209926177552,1.0982239566595642,1.5400333798316508,1.7753198168918771,1.4142259631215008,1.503730059859043,0.9807952074649517,0.7869892445076262,0.924645212269122,0.7886637480309707,0.8515522990288651,0.7416906234761325,0.8806114916062966,0.7806569712055607,0.7594856354721488,0.7499185788624506,0.8277960814346647,0.741288512229579,0.8311420525628757,0.944304302115863,0.9687218212214486,0.9800041378540351,1.0786546263673629,1.3467102074790231,1.1369417155450254,1.054439771137641,0.9727181146547069,0.8993777881525498,0.8135865157217494,0.8182731348363727,0.8923978909396657,0.8554318207074203,0.8109092300993713,0.9168243471855431,0.9161770654488047,0.8844847440582414,1.127797507727373,1.237095312714678,1.0308292372438574,1.2106096565275553,1.3671147235356194,1.4306796098802086,1.281697530447603,1.1093253594910062,1.6965816338182949,1.5272580632509982,1.3529235364421714,1.3283730356787276,1.0727465095223971,1.2533180341132788,1.3996631215656428,1.0412979699102363,1.1288823997315798,0.853789690156008,0.814619914519626,0.6193998613318092,0.6519686752553738,0.5891439750806577,0.6190390195752327,0.6656233726507484,0.7120473651168011,0.7923396394412001,0.6488200442122977,0.8187766596327744,0.7594690492388337,0.5851130833168409,0.7029166430918211,0.717899795444428,0.7818571794359767,2.0852298344417317,1.9152076183421254,2.6326337299011997],[1.2338089585833025,1.0572984753224526,0.8047790423336153,0.42958682678208754,0.5785720659619913,0.5469656641297658,0.6151732081339336,0.6123034237007231,0.6374655081902568,0.7085100872700698,0.7326770551162208,0.7172225469700552,0.8169386627271962,0.8323988832066065,0.9751472748214585,0.9312827090889202,1.0022848702147726,1.0995641308319029,1.2261944886548737,1.2065260978969519,1.2824208809880178,1.33330116137316,1.3229116790456799,1.4355632510626206,1.2895763380583154,1.2309701846995702,1.2015039727428225,1.163969340963524,1.1193767961372234,0.9948273870453612,1.0547556986664215,0.9809509668528184,0.9596381024275454,1.0792856076445863,1.0974199822709503,1.137339243618745,1.0291609747676993,1.2451151362188466,1.2494718621633996,1.2983940437917278,1.3112427449695883,1.2773982300821407,1.193902522206211,1.224102066994066,1.5570346088660685,1.8806853673536839,2.3261887196396747,1.568187623207378,2.644195999138173,3.0926434221808212,2.0404761308641297,2.231443064097242,1.3207438368618862,1.5469167966210995,1.836252769633556,1.2862783248487362,1.626138136435602,2.7718382167968696,2.0809168242345373,2.248082014251708,1.8100029508680207,1.4572689701255306,1.3124527403846986,1.4493508697982969,1.4496504694408963,1.3181203341886047,1.368048912517276,1.2328603957663928,1.2875223426825473,1.2128112824980144,1.275463262091227,1.482868853812026,1.2436256669861958,1.4202018825092666,1.219669866339397,1.6289786292480148,1.2608751094485966,1.203686342954569,1.2354113161957598,1.2945433971930924,1.2054736943770559,1.3543969629614405,1.2694905979743758,1.1334407133467546,1.2265613283814183,1.149907634673092,1.2291514666829721,1.0945987841343616,1.189552485510557,1.156952251875397,1.1905377803779331,1.3342709684079184,1.1848838240468156,1.0198015536727536,0.9817304477668755,0.9694893121082051,0.9761543494071955,0.8915776816620347,0.7900320762247475,0.8406049362597465,0.8837115466771306,0.8765833165225557,0.9260185961209049,0.783975373350104,1.2230105221997645,0.8326569196312139,0.9198933590885068,1.113746452966897,0.7595593816554168,0.7013051904682527,0.6650572814152754,0.8027291073294744,0.7489799887758634,0.8635581033301546,0.8481974774103791,0.8549478990658272,0.9903288105675739,1.1652688208990845,1.2757102260073803,1.0667926806644026,1.0350698139733077,0.8974611856162925,0.8879541234886508,0.8671083766657418,0.787529716735744,0.813872837607861,0.6706763775578852,0.7734903974438402,0.7278660894418612,0.8608082078675116,0.7482468316393277,0.7994915867222943,1.0122058654292183,0.9574491170950357,0.9926528822177773,1.0768310300344646,0.9689685896592538,1.0560328147099562,1.2998595564441013,1.5738599407080047,1.3878341196271518,1.377541231767662,1.2653320803530765,1.2613541253423406,1.2605681334441408,1.2414206124427336,1.184443584621741,0.983839392541242,0.8740783860657404,0.7476312967160913,0.7387908470644361,0.6377639832907374,0.66662519326663,1.2387909893593243,1.2350133953295008,0.7353004987504963,0.7716614161894749,0.7521853559141801,0.880793698729379,0.8576003425140242,1.0021590921951686,1.1220050887959214,1.2333886847543103,1.2772246630063662,1.3891515028645955,1.460170067023362,1.6147857667129557,2.0917309395400006,1.958115249247426,1.678884196672537,1.3737092947295788,1.2823014929796843,1.2357339128807063,1.1360466997155454,1.0752226750604459,1.0524558996049496,1.0128868250942478,1.047337290336422,1.1320703855725098,1.0942773004376685,1.3951584478582473,1.0856274902040424,1.2178197077501718,1.2723290379085246,1.2751268084859935,1.3458632481672015,1.3443833299256611,1.6924771412785484,1.9568817106336451,1.8627101311694065,2.0119835308549607,1.8609611051594401,1.8428133311363644,1.6102612719423304,1.28211804753296,1.483152925680702,1.0007702541945818,0.9032813790834286,0.8648021870301827,0.7409896613934522,0.7620253904451371,0.6723245229490125,0.6556126542875346,0.7266724139465588,0.7535414066187492,0.8605615395855994,0.8972715759453087,0.9222289969398264,0.9382734778262168,1.1442118959870753,1.19828215727322,1.2230363037744179,1.3787152159442118,1.6236714861039738,1.6146917847630928,1.5758861214477151,1.3512015874937437,1.2058662862677394,1.0422208373601671,1.0823619003025207,1.1195166284018576,1.3830826497770663,1.3148822925224581,1.1372515406081878,1.0634772834735915,1.0042264350287353,0.9284610919593738,1.1220249930252917,1.1417643108928432,1.0599286609738616,1.0326967912615206,1.3128752423269054,1.2694273786933206,1.1489714992723652,1.6250586687359032,1.8489902761236234,1.4583548483940385,1.5152631059778752,0.9979306389988774,0.848339412830601,0.9676500869666362,0.8434684886957224,0.8973365242933302,0.7982274778724561,0.9242012780565443,0.8240686384714191,0.8015171928415576,0.8031242439220797,0.883066266253465,0.7899659246815143,0.8777768349935635,1.0062247294968214,1.01270932002939,1.001151591177814,1.1070860032501746,1.3854745492304787,1.148690348522788,1.060242884939905,0.9795616075253225,0.9216545785444895,0.8482844186768547,0.8582763028344601,0.932125965197792,0.8844516189419946,0.8567222470614767,0.9842998420235864,0.9737082972253772,0.9351917753936239,1.2197492996525232,1.3408884838268287,1.0976716147951076,1.2751270680132774,1.492901918199909,1.5321498687183803,1.3656793782689653,1.1577243551521348,1.8001105241452644,1.5697035014724086,1.4116327115796496,1.3299249272645701,1.0813207682655877,1.2546597093966068,1.3747018934951587,1.0571966976467473,1.1482841631997163,0.8701361787015394,0.8393392243909514,0.6711745901338588,0.671323239820366,0.6673982984950578,0.5963773780221475,0.6437315388336886,0.6568453917232879,0.7589189846484317,0.6356322702350676,0.727379626352596,0.6475916617002261,0.5670921654720965,0.7303821882421876,0.7097571040077855,0.8033709890640595,2.171071621435164,1.9893141520887254,2.6755450818521354],[1.1575252679832237,1.126954926340139,1.014832151074331,0.684053321012046,0.8690545582689672,0.7672309118554145,0.8878546981495422,0.9016409095440883,0.8540968697687428,0.9040125317251264,0.9011326606210218,0.9186930925194855,1.0128199426064353,0.9532861725551732,1.076748103674684,1.0745386492811746,1.1200877323424592,1.1564121072678086,1.1959354692336337,1.2204317666753752,1.225951095106005,1.283772154860911,1.2195903377302688,1.312841497067015,1.215571161019318,1.1687655891646322,1.228541126821718,1.2415957807890121,1.2267417835213275,1.164732403904292,1.1484684319700669,1.1615260202058646,1.121106617692324,1.198320377679868,1.2368378057373113,1.2447000655544551,1.2078495655435872,1.3531252722172114,1.3599065128565422,1.408290815199642,1.3711801394839949,1.295523993572201,1.205517028871522,1.203396840230369,1.5108616078355002,1.867697502998749,2.2824825869966117,1.5060347686899676,2.620770926617878,2.976943047669273,1.9397449293035198,2.2764627275642586,1.298956095125838,1.6060842073045196,1.9242061201557326,1.252437328175285,1.597618397117142,2.8881202406888966,2.1187007526140604,2.2186980223758552,1.7942354582137567,1.4244988378597923,1.3041509492620618,1.3709723889371077,1.3850021069948304,1.3066124054650399,1.2980877249248954,1.221521362916948,1.2262489870892361,1.1922453415875418,1.2142668383996817,1.3831620048572497,1.176321847190799,1.3355417252084758,1.2045656015725585,1.5988010991878974,1.2668998556221216,1.2389470486204328,1.2932284325443921,1.3520286306929734,1.32925844668022,1.485784729575866,1.460358519297281,1.3020376913232665,1.386718076270288,1.3248241104987188,1.3388170898180256,1.2428854505159785,1.2663965259240817,1.2503471661908805,1.2476006054146545,1.3486725982865908,1.2288106588058305,1.1084279030189685,1.0861792355426612,1.0476554093600914,1.069281050637989,1.0569447380076162,0.9971678023947691,1.0661841953631677,1.1266846530965993,1.1569134435454909,1.1960553841054467,1.0999856384408773,1.5199024753765984,1.1601207842033925,1.244458836484317,1.4110158230362535,1.0809930803459449,1.0569999684748652,1.0069160227531782,1.139698553400746,1.0672960955597646,1.148008768395126,1.056006585467866,1.0185091726073268,1.0908725592354092,1.2016173676884156,1.2244453837143425,1.0888172660791549,1.038381297168361,0.9631671967599649,0.9689224231610368,1.0411297930158034,1.03378341643118,1.1101234887051925,0.9252362938803347,1.1100839241060503,1.055919214438678,1.1974333265898753,1.0113561668593798,1.0695931139433892,1.2857902117255295,1.2560216895185423,1.278856032013309,1.3738210336076522,1.2603694101480873,1.2763318003831674,1.4675208732945533,1.7857572357228557,1.4351201806499834,1.3545520675487421,1.288707808853349,1.3701030904470755,1.373811645975979,1.3929856253307722,1.3671499147289656,1.2160541605128863,1.1562993865323512,1.032931136654368,1.0400012177610447,0.919804985346555,0.9043940554386227,1.375974026614897,1.3980062777236628,1.0054408119955642,1.041881634621948,1.0605461868583985,1.1468505837726575,1.1619894883535788,1.280393309580251,1.3366342660938155,1.4260132887094976,1.4487624373794505,1.5456832775674971,1.5700404229007454,1.7530630347981748,2.118419670168494,2.047386387581438,1.840049998130326,1.581808918625009,1.509758386652687,1.4727241478545907,1.3806319316276892,1.324092028639874,1.3345686084149122,1.2570373045731735,1.2992562743681115,1.3581251466662985,1.3533520049839254,1.5824364145327785,1.3912293115007195,1.491461093721551,1.5019883376503056,1.4967064908189884,1.5026440640914416,1.4604130641504078,1.7609282019036883,1.9919625950510245,1.9297104473551445,2.108091943386849,2.0395754896867624,2.0016818725060195,1.817738805599318,1.3985949434540652,1.4911019359659723,1.0957116848754491,1.0129645830620644,0.9095897666974488,0.8849430967393395,0.874373404604447,0.9303438187020736,0.9378350435949309,0.906536217867618,0.9568692894473774,1.1775214989086538,1.146465985146349,1.0969330755436697,1.1960292869867883,1.4007255280417579,1.38961223007061,1.4005666593373074,1.6072073295411193,1.7585769121738453,1.705789839670183,1.6609020339541363,1.4201668926652204,1.2112138204985032,1.096443856035995,1.1479776478660564,1.039227742555665,1.2760090027631483,1.1746017606909778,1.2159216920604357,1.0991765493424843,0.9888129822373803,0.9883319572207201,0.9903692950746907,0.9824339298292889,0.9931262447286741,0.9322035743523842,1.1133095983813897,1.1094078779272856,0.9945925766225459,1.4274059727737538,1.5375530083062852,1.2362555590948097,1.3712864949343941,0.9368470815394592,0.961028530403393,0.9599742323901784,0.9510599325142322,1.0403052629252747,1.0205417619091444,1.148769357051381,1.0241990421873686,1.004336445173335,1.0956613889411282,1.169868417367227,1.1139735354904965,1.2186779924926068,1.3628813429038238,1.339057225057163,1.2857273675091576,1.4162989195249698,1.683290515915776,1.4021813817713566,1.2835818680291617,1.1587179235431624,1.0954815976476795,1.0674104238345514,0.9493636231703916,1.0010317257015542,1.0156355704786582,0.9256123232475991,0.9331880953410111,0.9547305793942156,0.9160710611169972,1.0599615849195596,1.1567354690495577,1.0195519101954869,1.0977170681476385,1.2566045431604105,1.3632520644105444,1.2346359510939255,1.1262368443134025,1.6697267026830114,1.5515557415648533,1.3544691915395808,1.3629162663114065,1.2132078953292924,1.4386232162732209,1.486891321882644,1.208081917807865,1.1983985204543282,0.9773207913682427,0.958731061002623,0.9362307850427593,0.8520820197844886,0.9669882941434937,0.8204435870968185,0.8827538673055266,0.8433154864196637,0.9383279196814501,0.8795708701252979,0.7720083859167424,0.7305435901785944,0.8159673112986823,1.0202525806915292,0.9315621268443257,1.0335783620098309,2.4411374392630902,2.3196801881765037,2.9090753170813883],[1.412428892183565,1.274398058339776,1.2485139176333262,0.7069120646406303,0.8815349092395542,0.7857280223146386,0.7901876981695518,0.7847810333690959,0.7391381361699978,0.6818658875904151,0.6730002183662619,0.7162422250099165,0.7530554795374902,0.6909121801089924,0.8212364135178991,0.774480285268998,0.7533716736926471,0.7800115916008841,0.8897646435348437,0.7851456013958384,0.7944899514307558,0.8442331787332862,0.9474961325773293,0.9767509858607276,0.9565925810325318,0.835403884817539,0.8497423256183128,0.8230723118917755,0.8325269372349646,0.8096185251344441,0.8245908335064697,0.8308486337630553,0.8176153758061246,0.8711407720353033,0.8784719898087817,0.8608733550663685,0.8395466231846973,0.9820037465195459,0.9284678868404185,0.9903722162461529,0.9489815475536526,0.915974543317553,0.8842953827308172,0.9872135303638496,1.6683502507271364,1.8977457610156137,2.5237381630834594,1.5006579775426385,2.570064203268304,3.0391229455742694,1.8331585689717298,2.0018065736190325,1.2488787907050816,1.2547764662256666,1.6486707769878286,1.1065682849513292,1.0886750354982042,2.2047351929932115,1.583901864600016,1.6340954706007371,1.1601517056742867,0.9217603653936054,0.8380601356869932,0.8951191082668619,0.883260091665912,0.8748790467656764,0.8455310297366192,0.8175106420570015,0.928289584330994,0.8871903902806805,0.9438900109894467,1.1432991356011548,0.8695680719786698,1.0758699156529046,0.8378432309523464,1.0937242339008146,0.8687305964006004,0.8532615269064328,0.8948321647195673,0.9783432123028173,0.9238584607359678,1.1029297002244913,1.089037715249936,1.0037722845779466,1.0134532421726064,0.9209879749281425,0.9167820567719515,0.885109622319438,0.8730712240062988,0.8803029855534038,0.8989765402713648,0.9692158943498764,0.9067697458246132,0.8308049342880011,0.829157497541084,0.8374074439220861,0.8793359546457334,0.807039121734668,0.7691728361903051,0.8979723319524895,0.8748296301782013,0.9733842723243794,0.9162441970852702,0.8635538443395601,1.2527145033931053,0.9244216744375723,1.0592017319803322,1.237593597072723,0.9526509205833081,0.8953138673855678,0.8954650750411023,0.9249149305198386,0.8527793857378466,0.873854938330059,0.7274449749931281,0.7151562511735359,0.7498215877238773,0.766882587430504,0.856028341541584,0.7571794193783795,0.7748196054944775,0.7044351631771754,0.6974839772679124,0.6920496560676448,0.7518234109926232,0.8615225663276758,0.9183566826131677,0.9139802692623609,0.8873735944486015,0.961396216760309,0.8681415334709573,0.9141239776143651,1.0296426595369346,0.9851823677059567,0.9681915673338602,1.0366167626990697,0.9978602598761039,1.0052106009025064,1.1919267850499542,1.2092321706272786,0.9959275969720047,1.080252614796606,0.8815598442817225,0.9231131041814402,0.9303325078170861,0.9664608038868839,0.9555004987484571,0.8709669550901555,0.8649455311739696,0.8211471706082888,0.9048452233102391,0.774114518780348,0.7866025980937265,1.2922586393634574,1.2912130512265223,0.8672942446917306,0.8465831419759742,0.8674339636908492,0.8885373575014813,0.9198094425469686,0.9207152583750603,0.94113724916733,0.9717747477738078,0.9862108765063877,1.0974172662785493,1.0843460451256675,1.3368390237566896,1.7730437846122082,1.7792689596467903,1.4786078687101363,1.225632894624204,1.078009422583743,1.044705365162006,0.9948150214954078,0.950017560294692,0.974500018063662,0.92987437862742,0.9880985453703646,0.9829282985636293,0.993454317128676,1.3246190896028476,1.018517287496502,1.1105120266296982,1.1131342334830125,1.077546861888342,1.0489957999891448,1.0770926693525806,1.324763670975839,1.6734460453204896,1.4613011309695099,1.642610678392354,1.4747546104071512,1.5948385282443562,1.4637732115712114,1.19039573988754,1.4127900057993974,0.9999459483560911,0.9566498905713383,0.9077124748659181,0.8700522760873229,0.88880999252792,0.9061086505385231,0.9097553345948111,0.9588406279857536,0.9964877430512413,1.1677681141566707,1.2419755315649932,1.2052852815217308,1.2229495688112617,1.4321844598200844,1.4868359681094918,1.4696852242510352,1.5999545755282243,1.8069091157620893,1.7630966717713297,1.7451237420480141,1.5377110008264474,1.4037368077923615,1.260331343971299,1.2903163064417718,1.1660562545373971,1.3716665444877876,1.2777956632910867,1.2882233943091945,1.1615651415971395,1.0265066900349444,1.003377180078067,1.0148962156811274,1.0116800018033667,1.0283628258984465,0.9505932860071216,1.1168889872988832,1.1216305840531398,1.0048516950612714,1.4120892603698934,1.4928065985469468,1.2270320724786095,1.3686018014202792,0.9646145143915932,0.9273102744657776,0.9492799591968718,0.9491839593668097,1.0037900249866705,0.9818627800276037,1.0760924799226577,0.9718203866635106,0.986835883280971,1.0245481395875276,1.0979495944935342,1.0582850586823425,1.131082757318894,1.2375170573133993,1.2677093871261174,1.25654200450952,1.3382287769195411,1.5926784518718335,1.396848781835932,1.2875858186168134,1.2096066298585821,1.1484213174301388,1.0931512027750092,1.005508766153239,1.0943416039174392,1.107185892014936,0.9960095855073667,1.034016443241635,1.0836746161264275,1.0115365444136468,1.1189366785990134,1.2276479304641517,1.14318254294462,1.1372422750429787,1.273664476732252,1.4107927764050536,1.3229766645881451,1.290446915906306,1.747761444575164,1.7308070274239382,1.5629532493424538,1.6130746524249606,1.4234914055409356,1.6046058480335703,1.7590929111945477,1.4875093442736433,1.4376795190817446,1.150911571573797,1.0626780461940522,0.9996625993000856,0.8494731366549155,0.8910410654991061,0.9188964414427908,0.9286236327186735,0.9367186698653982,1.0022968837399002,0.9294767513077526,0.9193904723380032,0.8448240578377053,0.8281379990811887,1.0904076277514225,1.0368495827850932,1.043055906002742,2.4834286939858643,2.4322677223429565,3.0387211526437636],[1.3888897659383714,1.1873858336735654,1.107305897499244,0.5962566716075232,0.7952873427174149,0.6976828279984663,0.7262481455283321,0.7305934266981967,0.6701780724801212,0.6505584987959359,0.6542372374088373,0.6791936409593234,0.7436584362026002,0.6852645007494285,0.8348534348999076,0.808383455649674,0.818912925084294,0.8776974678953392,0.9804655785852052,0.9483963564499315,0.9715565742339827,1.0438007342189874,1.0788207493307267,1.1399613904012083,1.0726177228123086,0.9669822186185882,0.9842294832475528,0.956542580438915,0.9465853444976983,0.8878329470193318,0.8857081838071117,0.8979721588922052,0.8679369170831684,0.9500072791870563,0.9805944862316776,0.983131865007433,0.9453836741284094,1.1187393323194907,1.106224040537163,1.1944414436171455,1.1502987501744586,1.0719707395521592,1.0049598938550992,1.0481577150795924,1.564519281125129,1.7780109445709469,2.4108262496947,1.521634221345135,2.5337381355636603,3.0873687151734925,2.0005785464500216,2.052484443382883,1.304594435063577,1.4584814646014184,1.7436802599464973,1.2324164560990007,1.4888487647457695,2.521253563469432,1.885130648796275,1.9814206814730586,1.4849385578126912,1.1718983381558226,1.0417640607103626,1.1314596322013408,1.1254576933748377,1.053480350162259,1.0331051011802157,0.9522050312407808,1.0107632085144405,0.955251351305984,0.9999685218985783,1.2219404219844356,0.9423143559811414,1.1560935387882676,0.9549259316457662,1.289173762317505,1.0250321801624858,0.9962800009836011,1.0567706939062766,1.1362674286281071,1.0883149786512147,1.2723699882109376,1.2088081746564716,1.1323224859872907,1.158025912550034,1.0803505222321097,1.0919624689133056,1.0096045458688456,1.0131372808168784,0.9965933529779901,1.000572578678298,1.0899533914858146,0.9784217851094313,0.8638469615486413,0.849139758609575,0.8245058286543311,0.8831353890621614,0.8264248162492239,0.7633168192554314,0.876716955360966,0.8948579420205997,0.9810156386498705,0.9729341334642144,0.896359145783346,1.3753218459383476,0.9609874932869,1.131673396688279,1.3094615243748395,0.9618508136812949,0.8742821450962409,0.8656037941286973,0.9290132164876337,0.8383764342806999,0.8884127223206303,0.735837881067549,0.7152212639129447,0.7893871850011046,0.8730283769446772,0.9483919923500104,0.8095532639393431,0.7710859976913396,0.6860033471232735,0.6723254277324061,0.7132874917805477,0.7468563801612287,0.8619905399094103,0.8538442356205028,0.9135166340686396,0.9043741692580662,1.0201613921571204,0.9427831283025608,1.0060741579134522,1.164526598694271,1.1096752201701852,1.1025752084642646,1.1329663159675347,1.0607017211344032,1.1082473839547375,1.3007258539913118,1.4370145268074657,1.1630557487164495,1.2028576217865037,1.0511071375479164,1.0948432775054964,1.1055315962523982,1.1090009378064847,1.083671992223599,0.9345799561464908,0.905921312846021,0.8042044512620803,0.8734655647160995,0.7356026236034393,0.7558844784113026,1.2470496800770094,1.2542347492139736,0.8314551763632879,0.8298405556402629,0.8613327157855848,0.9140032393202925,0.9548663406982106,1.0177754109010428,1.0674700126893653,1.1427286004774846,1.1941090197254622,1.3470218590860663,1.3507392892722903,1.595471722088178,2.053395554619245,1.9553063642390591,1.6210272221053854,1.3799544497250842,1.24688767258055,1.221230963499077,1.1468773893302202,1.0833465531169333,1.0967934590004416,1.0120296870959198,1.0879351874693703,1.1233819136972703,1.140387985863177,1.4456905399690296,1.1585400814109261,1.2980049968857446,1.3443351298603952,1.3061292950782657,1.2958571429346857,1.2704644758165171,1.5985030273746388,1.8130727736837828,1.7515290321731363,1.9375240217139595,1.765529487744662,1.8479865015185901,1.653198061492107,1.3690749936579558,1.5543028994178776,1.159382495083011,1.0669521594296882,0.9816838369274578,0.9055975217753013,0.9342538082208075,0.8916567828118072,0.8754548583216083,0.9288448098993459,0.9520724699515722,1.0599731701773158,1.132262119419933,1.1181559346002072,1.1084116707508218,1.3017733529043942,1.366000752764202,1.3519584997082685,1.4708158583723914,1.7093844112437688,1.6715406854676167,1.6482762411069487,1.4536793964759844,1.3543404362651774,1.2021329264708953,1.2254459393001913,1.1989418065355972,1.4164756137984826,1.405190266577129,1.2581857919173307,1.196098008319933,1.1042808172544518,1.0688838542083268,1.1878844659476466,1.173564860363064,1.1417641590303167,1.1090572877446903,1.3271860381501517,1.2697443188805577,1.1819666718056419,1.6406171073902727,1.727220196328177,1.3786862395335513,1.5001868852777998,1.0738823240482414,1.0238527842418035,1.083355420794849,1.0165204522460396,1.064330998777346,1.0061253799673793,1.0888330479155122,0.9940821530104837,0.9822845522515523,0.985898042812694,1.0572767967854866,0.9667294951072473,1.0196576275613993,1.1185736370253563,1.1415472039730887,1.1358216622060837,1.2039434686104897,1.4571345239081064,1.2633976446567947,1.1615508278347917,1.1102168030224755,1.0747981400416908,1.0246110761869398,0.9986519432181848,1.0690875024937887,1.0546796088716295,1.0104824996204913,1.0851646400603778,1.088391583525504,1.0505106133605853,1.2559645216350024,1.3361723095215445,1.1718590542049157,1.2633624398903547,1.4638484949707617,1.5178216070046235,1.3929487468371293,1.2827291299623769,1.846641088721516,1.7067512074389966,1.5606269149668144,1.5532352166129741,1.3236296147002302,1.4872965237264546,1.6619424494735682,1.38797178452062,1.3820677123059315,1.067492280700755,1.0045940648200467,0.9328605027416119,0.8608126608378093,0.8607613517887927,0.8352384724710514,0.8681921840867352,0.8660550584408883,0.9239714019886353,0.8469135921698264,0.8639827718271714,0.7654824097650913,0.7400527069884695,0.9754425747443719,0.9263256685564893,0.9834129430128489,2.449785556977503,2.3917602133055245,3.0199518772332645],[1.212279851227699,1.1405835128230548,1.0562718202992454,0.6819924853461223,0.96335633818538,0.8223741344985965,0.9967346349962032,1.043586796181497,0.969476450733672,1.0709974677359253,1.0856901748342986,1.1046439512923636,1.2530061189724198,1.1649727186933307,1.327106395405449,1.366112407060676,1.4195454446447773,1.517796116617437,1.603457056069861,1.6624136452515723,1.678218337255697,1.7633316076142591,1.6608713691101538,1.7805054107323,1.6611108263273704,1.6307992651109873,1.6849336094090326,1.652677873650363,1.6046191511926655,1.5099353740781758,1.483317338203746,1.4848044242181264,1.4494568559617818,1.566778140797674,1.6157475360166287,1.640688020784748,1.5908932448047173,1.7799943051450637,1.8088535713672467,1.8877584953036695,1.8715489876908964,1.7789734530735104,1.6759695908651133,1.676976433322137,1.847543153656159,2.147388079302589,2.5015728834069986,1.9408270363709315,2.7989336981367123,3.2147339889087903,2.3504884715076044,2.5223786491210562,1.6995896856374582,2.1114004055826934,2.254887393961159,1.746054604733776,2.3454020934882838,3.3965486314182693,2.6646295439517433,2.793165351484982,2.326139507755755,1.9140012228063574,1.7665989937330497,1.850062494209837,1.8723163411550687,1.7689750955350314,1.7194238855803805,1.6247221999707426,1.5886747031679271,1.5127374144976071,1.5096644452828933,1.6697716276242012,1.4854544425137732,1.6871424792007257,1.5765359860444865,1.955348853807486,1.6991003784147012,1.6694517337545942,1.7401997744676545,1.8181878340421227,1.7906179146163523,1.9339836316231558,1.835645467244004,1.7316483657189055,1.798627585663594,1.7633201159893008,1.7973750138454931,1.667754774619984,1.69837371544258,1.6541330515078065,1.6322769384319114,1.708321290992909,1.5593663872025074,1.4347682213128263,1.3890406993650153,1.3092424885435732,1.3178651213909474,1.3258616416994182,1.2388096399176742,1.2805457973747294,1.4152074068983247,1.4222002329336634,1.5241761120188324,1.393413003989541,1.872511963451051,1.4318526751391707,1.5348543906127268,1.6689940754720223,1.2827944983101973,1.2737932284896483,1.1910051955538155,1.3724917404872545,1.2601222957546656,1.385636208228826,1.2925651390974127,1.2955747049384674,1.4262434634370396,1.5816888124008408,1.6124001459436859,1.4369805496834296,1.3276432495298915,1.209099171096245,1.205515105145724,1.2386586579851933,1.1806035823401209,1.3088071269129706,1.0726015029659073,1.3212837787540055,1.284821676968447,1.4833062440275688,1.2895124625325587,1.3757398571345665,1.6305385724902346,1.610572506189561,1.6179726827634069,1.6611520141129654,1.4710060936573035,1.5525501094699716,1.754454677008232,2.1574571984289954,1.9543528001905155,1.8345131861871011,1.762590710729897,1.8002206787086141,1.8191288339871734,1.7736710799123072,1.7265902360164793,1.5181602703909876,1.4365616992957204,1.2563200067636142,1.2463491977865755,1.0950917145749104,1.069282321970674,1.4547307745022169,1.5263496807944916,1.224898685270638,1.2828088642809774,1.309816705350426,1.4327766740743357,1.452382945435731,1.6076635997683806,1.7122504260136016,1.8262262678023375,1.8925997109532247,2.010825946035679,2.0334581008660275,2.1785919168630983,2.531388468286448,2.349779743601955,2.1209343258687414,1.9059193853789165,1.8551469329072696,1.8536378753859657,1.782232078029104,1.726685364410495,1.7079745239762087,1.614099545798471,1.6747338097107696,1.7732786457302268,1.7661137785402914,2.003091216761677,1.7569597428668802,1.9055669826085424,1.9568165156726962,1.9450371312287875,1.991413812705781,1.9353711215837957,2.2813265180524076,2.4120010697277516,2.4379557751215453,2.6089486707669627,2.4832613285652054,2.4157948103956746,2.169491067540804,1.6980912129391872,1.708437896903269,1.393784395089923,1.2781745754912002,1.1055399961079702,1.0885828920822986,1.06114942358703,1.0887193679641398,1.0857925588300126,1.037187689888002,1.062268510905129,1.2300029656336116,1.2126480644925168,1.1642369350766937,1.2169748462602727,1.3986777156919827,1.3979050427665705,1.3902729300207726,1.5689170810689226,1.738707229158433,1.6875301834421037,1.6620555012246565,1.4319137035307121,1.2994393188197353,1.175308553143016,1.206513530744297,1.1736274112450125,1.3809854328469242,1.3799817460573116,1.2938198861186476,1.245043066335737,1.1654403516062584,1.1691169685432714,1.2432328738799125,1.2067849239271113,1.195800428635844,1.179565473184903,1.3615161248697234,1.3092778387663198,1.2302470084550248,1.6746539704107124,1.7092130008143664,1.3875015310016796,1.5272320498434167,1.1339994607763937,1.2057496664300422,1.2005364533059917,1.152659670249454,1.245675597532273,1.2081542473255982,1.316270429022609,1.1947738762350162,1.1473782471505565,1.2178218117673316,1.2896282615236827,1.1735472489221053,1.2404657523296427,1.3662864249632571,1.335949419925956,1.2838143591243132,1.382773767784739,1.6409363535495802,1.3682656837413665,1.251915533420499,1.1674411385294092,1.14490536061721,1.1422680689239513,1.0683527264052906,1.093646650874771,1.0995616124381298,1.069284583232507,1.0922783885327523,1.0873773546080625,1.074899743420698,1.2564463860955033,1.3266496567035535,1.1614474831094896,1.2627655924880032,1.46740257916678,1.5158723218467156,1.3754781283747974,1.2413222270036663,1.8307195010204675,1.6504052991684275,1.4817239443364871,1.450568398109364,1.2820110031776966,1.4776989888088927,1.5616044696008373,1.3171161497483268,1.305192719768535,1.0694672394875155,1.0617333913498388,1.0729731404898413,1.0352058682324525,1.1123709446700836,0.9175213535687511,1.0099147684797374,0.9456369965278776,1.0491628748864574,0.9802120663871273,0.8210607911935086,0.7774326123711308,0.896125268172445,1.0605544465370147,0.9707000008881214,1.0755706204539737,2.549919568026873,2.48917635822284,3.0818893303301285],[1.3775860646944853,1.3562218628671339,1.451105962977811,0.972929293308629,1.2999957066861787,1.02992483813911,1.1197988976570101,1.1652925042858306,0.9789681208850792,0.9483377996474143,0.9240710347638291,1.005917373218861,1.0825210830991814,0.9018526094645684,1.043411904746664,1.0892495799201467,1.0765595690185283,1.0747775205571402,1.0789293266763922,1.1228721820838257,1.054987909497797,1.142833566189707,1.0841966290659408,1.1384468327300097,1.0985536892840218,1.0320021180019623,1.1695986412812462,1.2059157019719717,1.2221760496544685,1.2319189732604183,1.1197027520372766,1.241558166264006,1.1864704647254962,1.228732820103828,1.2924431823833225,1.261585824160379,1.3178385211241541,1.4134366720829326,1.4282663212279643,1.5270694629731498,1.417672791208276,1.2556115626122657,1.1641658600917797,1.1644894799979124,1.553289824910152,1.847930912227349,2.364481211950345,1.5318114251079036,2.595706779912463,3.0254050605613445,2.0107436030528345,2.2436369797601543,1.3715717966362067,1.7169449744313574,1.9640459625741864,1.3265047205472793,1.728358629480891,2.9014895083065353,2.1488950314782094,2.1968236423098673,1.6928708153396475,1.3173387633677955,1.1981821760099274,1.200759507791473,1.2177377555620377,1.202217359897363,1.0972520794060023,1.0811673003232236,1.064842906663648,1.0399739677018913,1.039495290835794,1.2411836923455708,0.9870385430792588,1.1986245804317308,1.0695006129832252,1.3988018881418136,1.183111598371686,1.1880782220570874,1.2793549808434699,1.3700585800880087,1.4213707774184048,1.6031020912440281,1.6210758551924056,1.5308156860171847,1.5538921910261136,1.4963458636783598,1.4072785853589398,1.351611068874059,1.2629936875389132,1.256770010526504,1.2071146474633727,1.250036735398999,1.1527802846552757,1.084788632484891,1.079294370338411,1.0114885820034472,1.0804610032325364,1.1214458112070398,1.106666464083522,1.2470527722893345,1.31149465926134,1.4589764197142878,1.4662562659129053,1.4676046213224865,1.9464683456326697,1.5831467650601256,1.7598336249857347,1.9119749252220997,1.5924097552838226,1.538917341209763,1.4651527665419541,1.5257621584351257,1.3488426981959958,1.386517570995134,1.104436417050287,1.0420699208840636,1.036397167342815,1.0430102585192198,1.0103692278186396,0.9539460810753742,0.8679382751103915,0.8403912913108772,0.8344181897025456,1.0003473736122328,1.1118275681523622,1.3694604761674656,1.2997796979232297,1.5265138164025716,1.5479799265111223,1.6846771849328,1.5735484548776175,1.6571340523901805,1.8171211719598013,1.7598860853035623,1.7578807931148999,1.7700545188598735,1.6941413842204112,1.619687127886986,1.702630599028633,1.9653927049276538,1.4467490947816246,1.3175522038540257,1.2375821098350164,1.4155304464902378,1.4383944439408363,1.465336080030698,1.4851779143973525,1.3686924481320275,1.4130788392394942,1.2719644594220954,1.370170967796,1.1806231351356524,1.2010646210969274,1.50422230082212,1.5380636460185297,1.2650786395395666,1.2741099359121335,1.367402296364772,1.375420802157541,1.5063948071203552,1.5744637140329678,1.5252704627772122,1.6106000372045075,1.6390075848218877,1.8029338019484813,1.7864841453471751,2.0624553114998583,2.3392387383744246,2.3237526505464365,2.12023938915354,1.9469706299816711,1.8124613422533262,1.7848768442117113,1.7070355034049458,1.6232247240283777,1.655723288728965,1.4931113997741268,1.5816626902082918,1.6251069164515901,1.694018772854766,1.922270214078482,1.7985729484989532,1.930217934020735,1.9322305779741338,1.8828373412955162,1.7598872940396002,1.6241460798584946,1.9226562540710466,2.050222158077359,2.1169429217355544,2.3509311088633473,2.307314774389838,2.3682262060461725,2.2362350758488354,1.7840425029952989,1.7909292995957031,1.5914442964803044,1.5591467979248304,1.4204409581913189,1.4322750244943887,1.4315139528855436,1.483543267376435,1.4811520638919144,1.454121277285969,1.4845929807726277,1.6273854093568474,1.6140502323700752,1.5614304881597745,1.6115257188861503,1.7281551681449219,1.7174210239145637,1.705827276036527,1.8421311900812767,1.9372259821280988,1.8713753987239756,1.854262658294477,1.7040517782493054,1.5806899669014651,1.5212040881951834,1.553338964844144,1.4671426282147793,1.5901542532626507,1.6067453941689425,1.6705654642293841,1.6035749232116692,1.4945278952361514,1.523146767834872,1.4632374897128018,1.4317162914979003,1.4817414072044732,1.4234710871749843,1.4797010569842584,1.4857524591387885,1.4279321225433919,1.7295963601127766,1.6222402880975246,1.467118721533642,1.6272726883950628,1.4135434478646016,1.5154162459425646,1.4671480617866963,1.5117010736638647,1.5718285236240335,1.570568335379059,1.6247303744323192,1.53747013498436,1.5317223921602023,1.584257131276519,1.6377893629596532,1.5824946096523538,1.6278010477087086,1.7128489064760424,1.6975634955330203,1.6702354719295753,1.7327230165457945,1.9314259670063776,1.7125644548852774,1.6207414349925608,1.5524585033429976,1.554718740406343,1.5654825081802015,1.4624958595771047,1.483407664977385,1.5050922221951526,1.4585059869033368,1.4278903891418362,1.441643510541269,1.4266261810651693,1.4721048544644502,1.504493219328138,1.4570647530339047,1.4488654021327982,1.5393860089999019,1.6297648150718058,1.5612066690404947,1.5217675583004229,1.8906535355478506,1.8328673456888287,1.6772447484185748,1.7116318318011516,1.6370836021946382,1.7879854836340578,1.8357463996790686,1.668459895014288,1.615633784068113,1.462779486540441,1.4686111064820786,1.511543952874381,1.4233070928991949,1.451021859211088,1.3170803388444972,1.3789411885807055,1.325773758067218,1.3127138944156673,1.2816565138847453,1.1201653994757452,1.0659847685029449,1.126981277039428,1.3424864967216497,1.194013467115023,1.2746425312449325,2.7596459573612626,2.805097308633681,3.369520313913414],[1.5005551533406896,1.393424017495608,1.488935964203132,0.9063450536919991,1.2150595753143774,0.9503028532755025,0.9785160560874968,1.0213675221016913,0.846157836156945,0.7873264995650084,0.7818505717592231,0.8578689563260229,0.9065106977739957,0.7659583190020278,0.9252473071015814,0.944809194802597,0.9161690604537129,0.9602836551221323,1.0511451432185037,1.0204548465877008,1.0065477599511354,1.0757365744306535,1.1354188220186896,1.1758658755964457,1.1192628011365395,1.0194176216055386,1.0613309050405866,1.0548666076323785,1.0681734644173106,1.056899512513454,0.9992209061172227,1.0831337169793784,1.0404027089869983,1.1033821444946261,1.149995196167451,1.1250374393573377,1.1504090099924367,1.264815561067351,1.2611672590325795,1.3789312267462956,1.2800031631472708,1.1492694866673754,1.0802085310150746,1.0987153412120538,1.6525142414706058,1.8081376834635687,2.4907829855359283,1.5834624083495616,2.5044906368912945,3.073703374005719,2.0298863509307266,2.0660065401486043,1.390630120536492,1.6169799781782082,1.840803928963713,1.3462597808996621,1.6616384091632237,2.6434533282005446,1.9927871762068294,2.0315347526168064,1.5058365327062813,1.210986823247145,1.0994356116274198,1.1473865487763677,1.1484220785517072,1.117345231233577,1.0458100542963487,1.0003147274549833,1.0496608545742414,0.9820017314434771,1.0238715387418806,1.2603380337214567,0.9676056203751037,1.210998278521634,1.000318501660229,1.288195401144292,1.1054858918821853,1.0963430604301188,1.168252100826573,1.2658018509862086,1.2788147748811347,1.449999335855349,1.4366033134004486,1.3934633272733212,1.3842972914755725,1.32348799162099,1.2566463873627216,1.2060330340753729,1.1368298548218263,1.1261292725824756,1.1068913760559178,1.1608105700157378,1.0626463409259732,0.9790972454893512,0.9648774360918159,0.9103357878645109,0.990037249659792,0.9921996487769963,0.9626701695969129,1.1125991951919139,1.1421938403669194,1.3161022654540169,1.288289651302288,1.2984897510140618,1.823937950801486,1.4038357033462276,1.6487760131232918,1.8132141861551374,1.4810536584983456,1.3775060734762927,1.329309841726916,1.33436428373683,1.1533219927310163,1.1581458104232085,0.8823695732707758,0.8279192897037991,0.8746473434941946,0.8931891532783109,0.9675824044561827,0.8681582391737668,0.8035881392236413,0.7373334092731441,0.7132576989083285,0.7974195299556832,0.9116935396352954,1.1410570654038654,1.173489895335874,1.3405755680278602,1.4019939722379773,1.5281138032005759,1.4807450893576979,1.5789966794915073,1.7044185746435678,1.6274087503646446,1.5978577659154818,1.5522647625625139,1.513574802507682,1.4197828363349014,1.5030406567468981,1.652577633080835,1.235927277345489,1.2564915088869464,1.132389955724631,1.2241958641490887,1.2520179572480834,1.265392041025739,1.2675710424843742,1.150641365113908,1.2058097234098741,1.0880008902211797,1.2157521914057492,1.0338183359833597,1.0853800452826077,1.3868355377437278,1.4100443568270404,1.1310515713988407,1.1186829868790595,1.2019925123215345,1.1998726644736932,1.3287579918969503,1.3527818446737403,1.3170702996191246,1.377460512259042,1.4362325864481513,1.629711331981147,1.5673836001893262,1.918343981956318,2.279663960947568,2.2488701179412725,1.9191523079533719,1.762475130600104,1.5719151046390059,1.5707150533475278,1.5063289843520957,1.42319915108663,1.4688541792604417,1.302242832412669,1.420063150593834,1.4390911354609557,1.523635061809745,1.7752687551053967,1.6092595328443575,1.7669701400323097,1.791179401125763,1.7177463104751889,1.5842385583808658,1.4742878271427853,1.7797007409652583,1.8731841480048756,1.952031901363257,2.2083435986685864,2.1015719073560524,2.2360427426770864,2.1056760749507677,1.723004045619492,1.7885303666972212,1.5917648231522117,1.551383618538805,1.4329635719147955,1.4027113876369652,1.4398470859294263,1.4386960015725683,1.4285854099469923,1.4694944064870832,1.4830365733011333,1.5739047711769847,1.6323264772990846,1.6007321632716858,1.5887218547930042,1.704629100280999,1.7454379945867005,1.7218158209052952,1.8025327724004256,1.9486623083869985,1.9052966360987678,1.9079478673671506,1.7745749228657233,1.7177290304335602,1.6192806086948917,1.6377052089443715,1.5790432487241466,1.6982111024095325,1.7410638097370266,1.7025767472474713,1.6494805262529644,1.5359614193775286,1.5279491346074212,1.5246054850288744,1.5121117356153442,1.5401594562605125,1.4789130218094766,1.576853042198893,1.574179599238508,1.504980021462916,1.8099827596985636,1.725776045916989,1.565710687914596,1.676341084147285,1.4744588460721713,1.5001157639026432,1.473536129002778,1.4996052367712136,1.5241583859783123,1.5235671490366465,1.5361221216813914,1.4719987663881773,1.4916446198570135,1.4948332737497434,1.5438750086491322,1.5054304831977443,1.5297642249414427,1.5922157529993457,1.6094533811704423,1.6086707923448924,1.643410828037648,1.8444888118018856,1.6737508596182578,1.5928951934990414,1.5581719348465766,1.5608552788908632,1.545833881993094,1.4891085668658717,1.5328524492807127,1.5435858716530546,1.5044040083085455,1.5169994335732016,1.5375619698183214,1.509266851828638,1.5839812799990378,1.6393042703161986,1.5801814259430527,1.5653878024940397,1.6903423970122637,1.7778442835777337,1.711834239808258,1.6698275573906267,2.052064332400629,1.9931369312412603,1.8641766074736552,1.8666626036061214,1.7360546758930817,1.8451697000546468,1.960229607949058,1.8064777675232528,1.7822614009763391,1.5941491940331343,1.534274537760032,1.5166596211850758,1.4012897691693333,1.3588427868692132,1.303687662129397,1.324416429912442,1.2965812348222157,1.2573794287709148,1.2223812837932608,1.1239240890779623,1.0425084986560238,1.0450068148851608,1.3217487849296947,1.195732223360848,1.2630011414033127,2.7711650562814967,2.8607097974464235,3.4491011514813317],[1.4339928947495764,1.3274264865803442,1.4094108829390553,0.8699685500302151,1.234883525915042,0.9818320580889246,1.0912881991327474,1.1672093456444048,0.9926427807107657,1.007011897850287,1.0125619004000264,1.0870923588713166,1.2001982712012,1.0288876983383222,1.2103395683243356,1.2757792731313584,1.273693273180951,1.348264859131389,1.410522204384855,1.4724400099079467,1.4244407014738252,1.541851245276183,1.4560289317775326,1.5204881870637854,1.4638500001052253,1.407469287588875,1.5233689325579196,1.4993786644108584,1.4891181121062786,1.4512349609687132,1.3706654066912574,1.446779348357706,1.4063040874834871,1.498800893038707,1.5624897372528366,1.5534406212164744,1.5771379728991133,1.7210002078170468,1.754584293414076,1.8969407195717878,1.8171740687713915,1.6453498390739365,1.548376484404276,1.5528473282557493,1.8258577643927953,1.9765291019128162,2.5421990766736178,1.9046109603243406,2.6593731540775183,3.212084163753521,2.3661156867947843,2.368827602870225,1.7265034153841172,2.1270546950793063,2.2062531617695447,1.7700553625076485,2.3943782738455233,3.2517656474586816,2.5812223665432703,2.642964803978222,2.107600418370461,1.7206795208383008,1.5816731234401866,1.6105595700228152,1.6316495477882142,1.5765440899671563,1.4434922202953635,1.4113778740741998,1.3738240680787777,1.2992603972084598,1.2853931148283835,1.4927273696401346,1.266623712180296,1.512860805130058,1.3834303529220828,1.7069911523762638,1.5492018534250789,1.5442644111891157,1.6379063839817807,1.7412638355278702,1.7725972437826985,1.9384708129031696,1.87763708237723,1.8365687102299904,1.8530078578430769,1.8013246365781805,1.7515692067265447,1.6608531214695184,1.598901831323065,1.5642866648546645,1.515374806741084,1.5515819557836035,1.423664165140623,1.3318983184469764,1.2922730669282394,1.2036869787110076,1.248647163750562,1.29308960297015,1.2403637225207782,1.3482558984648982,1.4662820571393245,1.5850490803633395,1.6449862717007158,1.6069888368902518,2.161301566936419,1.6769050510366519,1.9014055038785662,2.0343936237113134,1.6425097283708479,1.570994511186198,1.4723412604185782,1.5639252017565826,1.3643048947986585,1.4300831328843346,1.188470400219938,1.1599958496402798,1.245717604256975,1.2978283195435982,1.3014071829542726,1.2123465551894148,1.068551579866291,0.9982030549446228,0.9674913669154557,1.0675457538324968,1.1212363572859523,1.3607352433157565,1.2770146465109211,1.529943895999063,1.5852224726369566,1.793638703836923,1.6850727063465742,1.819480534611962,2.015470968000237,1.9628174790643247,1.928961741437717,1.8577075148557385,1.7128378995553364,1.6848256494374878,1.763017589032163,2.0944643964927203,1.7781788203795985,1.7025210762350127,1.6076040479646714,1.6942972834855792,1.7455477800497696,1.700815267287901,1.6762739634306496,1.5072778955509358,1.5185516656975646,1.3371340752392062,1.4194179443262878,1.2196918913423116,1.2662860683502968,1.4997712101450433,1.5695077691693504,1.3543077203339615,1.3772697174844672,1.4610625158595731,1.513958656230179,1.6313179285773303,1.7203644079438898,1.7442977660669314,1.8405014454369086,1.9396371800225567,2.142796265307744,2.1067401665418055,2.386395282495254,2.7345406249290587,2.575250915427452,2.2613462336984456,2.1188018007091594,1.9718648430507382,2.0045128757586412,1.944811679661607,1.8623494616861838,1.8740415204102732,1.6984865610984017,1.8238605400245367,1.8911289886557474,1.961233656721589,2.19917701678195,1.9964756753276944,2.1959175932775428,2.256008744582091,2.1979340936009137,2.127876334456161,1.9930725323565248,2.347334663414859,2.3450995311855993,2.5310326568717856,2.781342621630151,2.6495587538336447,2.684721633525215,2.4779566088615597,2.020491382184842,1.9920753236243067,1.8069922107894671,1.7235453706276131,1.5287647972921417,1.5120596111672744,1.519683374731948,1.5214358448619574,1.4971603095143287,1.487696989077336,1.5041107294713016,1.5842978379068937,1.5976122019526733,1.570143796236147,1.5734002056526994,1.669015080908571,1.6896803894658154,1.6682763576127086,1.7635288022979092,1.898959360611212,1.8515104949383983,1.8572205867950153,1.7124594341286776,1.6625879500724718,1.5713539524186364,1.59411692755383,1.5745263540009349,1.7001674062680887,1.7843802251995353,1.7107346712212175,1.6888057835195642,1.6122382298175983,1.6198829754644728,1.6528231936548057,1.6130125263509694,1.6198715552014116,1.6080961531233575,1.7195003929976567,1.6718089058458334,1.6228709982447915,1.9481749780974749,1.8486808303499225,1.657228605905174,1.7833600465585218,1.5586013360372932,1.650655620003947,1.6159628607950236,1.6043600974206134,1.6559707467048503,1.6521447056038154,1.6737340550341768,1.5893386950067236,1.5729765935461832,1.5972235295050217,1.638929112646362,1.5529212083454849,1.5735268889939829,1.634501184851888,1.6213369790326646,1.61093642282517,1.6454959728664817,1.8370382755480055,1.6426414034551307,1.5644338921435705,1.5323207824457785,1.56215502655066,1.5706073284733213,1.5261953645645572,1.5334907182767255,1.5344774733924846,1.5386437787986202,1.5367904456769903,1.5324116136839239,1.5267166510786292,1.6410333426539867,1.6686012579597234,1.57163591241557,1.6126896989946344,1.7753421144660977,1.8177953972051077,1.7180860590170766,1.629174054315619,2.0778700653464703,1.9449508831920728,1.821243195032907,1.7925216635855237,1.6629835618300888,1.7768211159334335,1.8778437174105884,1.7256355227864344,1.7144942918500188,1.5358467092232304,1.5054578838268682,1.5109894974827458,1.4663408276339762,1.4390274302528934,1.3016025879156419,1.3719296195532733,1.320592214257332,1.3255019601522808,1.2666318429472563,1.1095182476501213,1.0495484711952905,1.101173078423643,1.3001879658028888,1.1773779633993862,1.2822767476634236,2.8046838818038324,2.89116360549815,3.4873667365040157],[1.4432365905042,1.4579230434502897,1.6172430821372343,1.144150633798693,1.5681334641752052,1.278490025690694,1.443473877527839,1.55182747305704,1.322864557079685,1.341132550061125,1.324425011804335,1.4306096937601058,1.5606010690892844,1.3129787272178888,1.4786099042681413,1.592499405523434,1.5815552908111472,1.6005317360388112,1.5692946580916098,1.6906646974301442,1.5536814976647941,1.6748411440822484,1.4805978298766034,1.5375305538783726,1.5425821942467577,1.531662157252095,1.7737731653458415,1.8078249559247475,1.8021116243490916,1.8089869589421268,1.6416689909555453,1.7927021924919992,1.7315291515066893,1.783716165974414,1.8753229074716873,1.8466301860666716,1.940401280798322,2.045130213761589,2.093871829039763,2.2218180427309258,2.113157839295753,1.8731490493822196,1.748026718584082,1.7262796515040797,1.8531265088256375,2.1125397638535888,2.5090174211233145,1.965639463210722,2.8255950155359715,3.2367295037300146,2.4262861091248173,2.6265105696182998,1.83306662369979,2.3738232849220893,2.4427242714325237,1.8667690383125057,2.557064078124466,3.582903114024642,2.803668824789899,2.8307775770138757,2.314333572029614,1.8745316701507806,1.7511867528277536,1.6951380886755183,1.7438933802237373,1.7511932526152831,1.554361198808594,1.5879805627961794,1.4932868519800868,1.4591251016303224,1.3916986686632162,1.558393245289527,1.3754555237879171,1.5951590639438773,1.5483649629430003,1.8471343644136526,1.728897322192622,1.7476915946030596,1.8697111622549167,1.9767687964301774,2.0799488282296674,2.2683134467106436,2.261701964683919,2.2030567216033794,2.234122639779035,2.1799528279453155,2.06454689745213,1.9950207908696242,1.8646935843194254,1.8341569190245457,1.744391488169974,1.7340760303841074,1.6313348198271047,1.586135921958286,1.5651352505738991,1.4532113332948458,1.5058647282582167,1.6148612076978563,1.5949256541555068,1.7177893022088129,1.8589131633232123,1.9973905300838046,2.0780116997162144,2.0702352950013907,2.5888207333465165,2.1528061254865984,2.3420208270855056,2.4586373524522593,2.0735458062568304,2.037181777503447,1.901502558414332,2.027178419209722,1.7973468418954588,1.8764944632499434,1.5774522819908214,1.546898776498829,1.577062045418555,1.6002774522265613,1.463583068144937,1.4403423824202444,1.2682644707895065,1.2527644929769217,1.2421216560454993,1.4019307021927283,1.4780665824089154,1.7879624813114505,1.6680769216269609,1.976511408387959,2.026541370810582,2.2654129336330953,2.09789481495548,2.2347542714074713,2.441889404232761,2.410111513842891,2.3954401387055264,2.349796787534725,2.1461317233812958,2.1200701810912363,2.149570322260064,2.6202404231401037,2.247583690857577,1.9552724919846587,1.893729303928745,2.0908554726815685,2.126810449917704,2.085063832684366,2.094309591946547,1.9344124412379262,1.9681908366479282,1.7580379522316476,1.8433410918998616,1.6198267571725085,1.6709148185044516,1.8226600803060975,1.904974527935949,1.7480738788740995,1.7782703279220358,1.8928529068102453,1.930178572859693,2.0846469918513604,2.1982604006299296,2.175585951028274,2.301520487266123,2.357743198802827,2.549143093091514,2.5547995818873983,2.765581905777052,2.9501418988991053,2.8326712839241623,2.6921392360699357,2.5652466381358034,2.4686445499581757,2.4791462678148393,2.41482865008092,2.3220762818241436,2.3289634968101454,2.1286469217260158,2.2418117754714415,2.3184969961766497,2.4006536005890733,2.605586180043264,2.4783741532765884,2.6477700800079487,2.6702289479045027,2.6318386452497746,2.5191464681082714,2.3463407220820045,2.6271220546084932,2.6438621107420626,2.831351397524537,3.0645170484722994,3.0539693689827936,3.047584033700424,2.8711155194379123,2.3582812015218684,2.241504481887176,2.0801385384772972,2.0322245549604903,1.8033157502693589,1.852121107893166,1.8157913627706443,1.8833281578259438,1.8611350925044305,1.7702845322712562,1.8060463460145086,1.9220687058699284,1.8403849720108842,1.7948112084101655,1.868363624378587,1.9183805936179195,1.8730500590342842,1.8684778798769954,2.0010852413331435,2.035430939655585,1.9546257333355377,1.9426631045250657,1.8318127364321601,1.7218257921021367,1.703446033650197,1.7420688803667495,1.6913274682183246,1.7693854045863848,1.8533357373701638,1.9399656922871793,1.91672792205362,1.8492588983925295,1.9118120211256293,1.8517597349843167,1.782062211934042,1.832298017214433,1.8270027173522991,1.8298594590081694,1.8080108916771709,1.7995163585300535,2.053851456023602,1.8355220590275907,1.7232555639750375,1.9290756003411897,1.7702952830898269,1.9729382180202355,1.900533368280446,1.927980939993144,2.013153253831589,2.0175963930735916,2.063998473186496,1.96069889966804,1.9201895285787198,1.998657601460702,2.038873898210574,1.9360326079346826,1.9695177570925129,2.034653828070729,1.9813169202724927,1.95302964839121,2.0018620379496763,2.153927765720726,1.9262906190602398,1.8533798385668687,1.791782407889154,1.8398974188995318,1.8890817977191496,1.7919554410341378,1.757637706364685,1.7751245081831788,1.7804492312194145,1.706124757217886,1.6903329370861417,1.7096565150917948,1.7424408897535972,1.720058231030016,1.6784486018497762,1.6967723431059953,1.7758403988405058,1.817179073727583,1.7457339184289213,1.6849557852393733,2.0129529445505008,1.9238882022933315,1.7946858284704075,1.8068223019209655,1.784460272516626,1.9174762480008978,1.917822772432099,1.798606106886179,1.746890027971318,1.6552325910146957,1.7124029783650454,1.796887376533181,1.7942600167051026,1.807315798401739,1.604473063913327,1.732641726236127,1.658766280595152,1.6599526493095125,1.598262735441571,1.3632653679230242,1.3560800565600193,1.435082551022378,1.5318074311179233,1.3917266438073703,1.5160433397684163,2.979799541053668,3.107346529820967,3.696270532751256],[1.6775046793543313,1.64255293892232,1.8573386202384783,1.2689635197477054,1.675014412823929,1.3432712421588129,1.3918525378618283,1.4703811939031308,1.228936140332866,1.1575830816712125,1.153630403619458,1.246884728527632,1.284485851941125,1.1115225841121148,1.2299055496231166,1.2747310824295635,1.2204326599281434,1.2351149158578074,1.2913464392575922,1.2089259045754328,1.1542032801452407,1.164878268224117,1.2471687518764472,1.287049734458277,1.1898897128375905,1.1777021885765981,1.2384916630267235,1.3083950730828844,1.3492515994378536,1.390451963690116,1.2885515990969625,1.4259810034173368,1.3753373113820975,1.3900723852868972,1.444060014339104,1.3848857272956865,1.4787581271305104,1.5120657920792162,1.498019497684978,1.6038345476361382,1.4392180935080447,1.2733058946842464,1.1604524651413521,1.1324062817529164,1.710567873876423,1.8679152199237188,2.533690369137137,1.575518708229952,2.5227052942753327,3.0756702848083104,2.0505146048921565,2.15083616170706,1.4215414338139463,1.7722354997116423,1.9485481747611477,1.3894903683134439,1.825427927121686,2.8325795480185443,2.133559355015679,2.1048357253597034,1.5708960179910376,1.288461694449499,1.2188821892336597,1.2427274133980892,1.2197931940376912,1.2458965517655851,1.206905268724713,1.213157407162,1.2897274693191196,1.2400358171782677,1.2893638062894541,1.5489186698213036,1.2422103773812523,1.4362074964615341,1.236710936824475,1.4388665693666594,1.29644404111028,1.301575749585816,1.3619559575308602,1.4396196440876217,1.52686385159842,1.6906296022136371,1.7559566674268923,1.7256780831014114,1.6895471180096158,1.6504441294383592,1.4893629826594041,1.4924972304689965,1.3498704463458033,1.3723237960096197,1.3420321615136406,1.3904184384542995,1.3172041441650169,1.2673046849229248,1.2680072911146012,1.2100204141972952,1.317905250252873,1.33779552914245,1.3505720175988931,1.5336733958693165,1.5575288350821037,1.7856251939992525,1.7470112159436735,1.8378052627484969,2.368998622787269,1.9760233963692833,2.259378078967399,2.41195325754926,2.0822301665021197,1.9790191256042187,1.8814947610724078,1.8699128169296022,1.6255722248832085,1.6049597860772407,1.2262821590034998,1.1636829345112674,1.170629229668527,1.1563624542726387,1.2179799499951578,1.161649398312038,1.1132720136094143,1.0674796072230166,1.0553337498587305,1.1359800950623309,1.287927203858266,1.5829800113891679,1.6396264028945529,1.8831084054837606,1.9939702377712836,2.148916927983987,2.1172001154995654,2.23967957452292,2.348109080321137,2.243242495437209,2.22396199192783,2.122988014035772,2.089822882983615,1.8903934044265274,1.8336447305379906,2.0253500208471404,1.4584343340359447,1.3833646433770663,1.3345131952066531,1.4889804995277096,1.5021953539854318,1.5642579179863867,1.6165719771034615,1.546518006789689,1.6646989368929854,1.5407541406793541,1.7105050987732644,1.4963403079869917,1.5836927507174325,1.7365231651697228,1.7567610791609796,1.589497839573128,1.5694885700692125,1.690544498061263,1.6426157970223423,1.849318025427421,1.8366434966193612,1.699895594521494,1.7489779221883828,1.782915789831609,2.005549495903995,1.9310929013447653,2.3525994127827103,2.5453647075115686,2.622561770530259,2.4029254237330466,2.3112328270747016,2.0614296766418643,2.0547029652899873,1.9884906865397938,1.8827780046964326,1.9542647972732292,1.7234880293453652,1.855212293411977,1.8488181024671329,1.997137127210279,2.1983743475498727,2.1740279049854787,2.3406376239868956,2.32709271121651,2.232452708755374,1.953499011241594,1.732256166207795,1.9955423336794678,2.0166528366429817,2.2191479320700664,2.5320875717151856,2.52141253657884,2.7225829326779567,2.668866375359189,2.274809325466146,2.285023001764442,2.148951772992921,2.142451968652049,1.9842377611246675,1.9852433535530154,2.0008048912641208,2.020157106994572,1.9975724185544375,1.9942700122288926,2.013182740452161,2.078050419831294,2.0579401265248665,2.03470860918179,2.056659581885933,2.0824798551544377,2.0747746164560907,2.070210804618676,2.1365467520198056,2.171550254382777,2.1193525516552194,2.113501273698625,2.0671151779848618,2.0052525879790624,1.986750350300407,2.0196244186952836,1.9827466995028966,2.0465436002766517,2.1216756921908857,2.185627222165372,2.1633838183246406,2.0712078837715926,2.092959451759038,2.0330111904190162,2.0100153444265656,2.0658676902142465,2.0066849053783535,1.9909522453555133,2.035252023409706,2.0129672212692094,2.210021264170286,2.0012990645696895,1.9440917297184188,2.1044406830060245,1.991790855833768,2.0882537935623735,2.02983687397564,2.090304125309218,2.103344082078448,2.121983390736853,2.1094329552653694,2.049197268240562,2.0490465754359115,2.0693601919451288,2.104537982909338,2.0629250039743345,2.072584610528716,2.1071386566156067,2.0981550931671777,2.1087564590024663,2.1206782308027474,2.2547874086674864,2.099125194914623,2.049169143244209,2.012723058727854,2.0586978751878284,2.080066595716414,2.0136026585458957,2.012076856710334,2.0212182234858957,2.018615970491441,1.9825386745222195,1.9734913816214446,1.9813552609723182,2.008799588044215,1.9918307385870753,1.973473552394571,1.9624565633113868,2.011281185730399,2.060907339042681,2.0216177261576136,1.976608086724907,2.2174418915548824,2.1742971303370906,2.0670738295196998,2.04909382208464,2.0356958788032453,2.12018510959181,2.131958601675225,2.0530924506646224,2.0059480649226793,1.9540203889121026,1.9930521957836387,2.017636415106599,1.9677965537925999,1.8947866156781554,1.7985970832004448,1.8539835207998898,1.8130305488191045,1.7354267490606596,1.6873582644726008,1.532366552731151,1.4918768092378245,1.4808240630220069,1.6892236016807882,1.5423467805068092,1.6221565763729284,3.0691094833424257,3.2853431333936154,3.891245884087468],[1.667170824548186,1.5606898577012194,1.7522883043155326,1.096838795965684,1.4966913873722698,1.1822041706164914,1.208017685849805,1.2993225592386537,1.0573729378798757,0.9984520680249296,1.009966149179946,1.1113245087893409,1.1655607565133956,0.972452735512093,1.1356236903921197,1.2033853380634518,1.153107343566237,1.2245852703671727,1.3262546025922235,1.3052229416303611,1.2828030723535657,1.3574354570576905,1.4049977964883626,1.454296855138204,1.3632707699061912,1.2993643259383074,1.3515326436931758,1.3304387233511423,1.3527539178228334,1.358551547916561,1.2779920954258202,1.3865890333776605,1.3519571877655048,1.4133653834406927,1.468712123029785,1.4276578057266414,1.495565617643831,1.5812930058885204,1.5923654709095252,1.7623512619816748,1.6200253344147209,1.4502495302771587,1.371654823466526,1.359132831940193,1.874623019871924,1.8708701162668386,2.6663930226942156,1.8332433126240402,2.4550794876059885,3.140465361319602,2.2496510606205513,2.1186445165053187,1.6708681111698525,1.9798446079260394,2.0557037972229746,1.705649950283742,2.190462050313808,2.9052553069708753,2.326725956959691,2.316286144517501,1.7649827641884588,1.4862651770583137,1.3881711591863894,1.4186487774838368,1.4184848994391406,1.3980685036984792,1.2960314561813508,1.2710782797254458,1.3097445010118085,1.2032592421959425,1.2367066811831742,1.4956959507234642,1.2134436993408242,1.4833560893873723,1.2741128478607224,1.5193370874861487,1.409701551817525,1.4106539031633267,1.4851001613748571,1.5924331629330069,1.6460632740632966,1.8029121042796272,1.7989532212818238,1.8150274208031396,1.7643966665679653,1.7116258533588233,1.6019144275850938,1.5658232459293464,1.4494701393367773,1.43763780326428,1.3997207335323585,1.433454352436628,1.3329461081860725,1.255954316618373,1.22241221785655,1.146053817843361,1.2165243267045767,1.266238068124083,1.2514468985258491,1.4237096079409173,1.4810146243131157,1.694426343426136,1.6882838627872556,1.7464084301489176,2.335868013494622,1.8504798997741403,2.170007877534052,2.3029524733303006,1.9350148619270644,1.8141762122311316,1.7054418962483706,1.691212433535272,1.4407129012247504,1.4233353203778898,1.0915224817618892,1.0362666110118728,1.1005486450357431,1.1029993582644857,1.1932472803358045,1.1098833727032973,1.0061935273194333,0.936617300208185,0.8900153839942291,0.9622870364591164,1.099908480317309,1.3706534693140568,1.449205820938205,1.675982673311905,1.8192475592020783,2.0143361011857595,1.9949459268986476,2.1578563638582606,2.276116791930176,2.1845367741816903,2.1113508919291815,1.9413345308361454,1.8713487163757216,1.7093861248755524,1.6632998777797416,1.8626650699561804,1.453486046599392,1.546899868974967,1.4396818336532717,1.5012817440875796,1.5614284494570343,1.549580528711519,1.548417477913868,1.4471651809498505,1.5362875162786014,1.389104351527499,1.5618998837747091,1.3462659973557303,1.462256198712191,1.5841855929671549,1.61203056217169,1.4706153674589022,1.4483171378448036,1.5720329969790625,1.5482182933245137,1.7454622381023155,1.7310602658836243,1.6670065298234291,1.712205328640657,1.8245640795102251,2.092411999680355,1.9513349245375218,2.3899101813501376,2.7310706022632614,2.6471600594880447,2.2191087223519403,2.1754039922008093,1.9279416785113856,1.9954767183377313,1.9518976758471946,1.8572295931716958,1.9131577629346312,1.6828972523986985,1.8583939320321015,1.862797612948955,2.0127357506508563,2.225503541478449,2.0989156010310466,2.3170430994384,2.3636415596639555,2.2638493267342006,2.06872042664189,1.8861175217849,2.185497246969404,2.0839607843305292,2.3666732583687016,2.689981166214071,2.5825122662430395,2.7782448321445745,2.6558408913023617,2.265784641490065,2.2595034158813703,2.15317760133458,2.110502548236792,1.9301213467668883,1.8920363426329385,1.9345912556025289,1.9082648097082744,1.8644943305982355,1.9003377418044967,1.9127717510487678,1.9306739056559126,1.9573692768065534,1.956501962122054,1.9362603932762636,1.9613401277500133,1.9966520423837182,1.9850574455445724,2.017103479980759,2.112552643083468,2.0760300791380204,2.0905485363567786,2.0350892631584374,2.0302070639107797,1.9642457052089837,1.989250481074477,2.002032782257538,2.1025066790950606,2.2067854261230617,2.120168051656539,2.1149061220043626,2.039803781407055,2.0383142428940286,2.0476519577865124,2.0219289925756683,2.035272988307952,2.0148577862477257,2.074715522895618,2.061733791759542,2.0262695929352694,2.255573459758651,2.0887569529203875,2.017523912603589,2.108989392098675,1.980930719322302,2.04198955070316,1.9969664445707849,2.0107166264366203,2.027446393070235,2.0390580233387445,2.004711833807638,1.9488914318335593,1.9589555445014626,1.948706306134582,1.9705680566680368,1.9236675700323136,1.920148837057877,1.9358161005710097,1.9359035102391329,1.969706999224439,1.9613799184544451,2.0976587784162506,1.968329641714314,1.925007679736582,1.9179177694905427,1.9766857988758457,1.9870088282307616,1.9569917052975363,1.9629713210107906,1.9518590215201674,1.9736705215645036,1.9707834643373991,1.963321379663288,1.9579025662851928,2.0347523718214227,2.053300240453304,1.9962381365678448,2.007245258700701,2.1360548178222682,2.1637020649864223,2.0883832243792644,2.0108397587112883,2.307744753310359,2.2257642627286325,2.1646064208158466,2.1248883040379205,2.0273766959696906,2.0755639905666645,2.1720478690422773,2.083348450446789,2.0872401105952054,1.9635652438952214,1.9262005309075108,1.894674033787787,1.8483570900360498,1.7298994954967226,1.661312907489163,1.6988855951039659,1.6718088529470332,1.6025090312286228,1.5386344863220447,1.4140083976056423,1.350006593757132,1.3208522192242504,1.5752246018646567,1.4392482953999826,1.5017003256819397,3.022647850553818,3.251109840395046,3.863802790749532],[1.6707512829745228,1.4932591987855126,1.6604408950422245,0.9710651605443112,1.296012252013891,0.9607987393303301,0.9165073980861043,0.9894869418865764,0.7573932001520441,0.6603974141030493,0.6676505178473356,0.7683205847409035,0.7794149500241191,0.6526289765945623,0.8275923479698065,0.8361008142648477,0.7905677726055486,0.8738752532376298,1.0592755860985728,0.9813754642067688,1.0683652136536625,1.1140082711443013,1.3113400149532832,1.3818152269900272,1.270653738875194,1.1132322315564898,1.0246763193760342,0.9454575596185826,0.9448612231543562,0.932372190543954,0.9018751285860339,0.9607465226684889,0.9361816685707331,1.0022010950572664,1.0381723194747923,1.0173717983045347,1.041112271933634,1.1609719128576907,1.1454293932873016,1.2988948205868132,1.2057616105942957,1.1064129568538699,1.0981312042364852,1.1814816393021113,1.8226872731092296,1.9194084256233108,2.7009552059478774,1.7388640057734257,2.532186100738098,3.248622923970349,2.2150642750961245,2.006917705369498,1.5006872972256424,1.5576166391254096,1.743438648286247,1.438377073296955,1.6448925127659462,2.3571755519956654,1.864689119891147,1.906164976105273,1.3770815544676633,1.1862967886344546,1.0781560258171379,1.155695987214691,1.1710833890948849,1.1075238136293852,1.0773617728372304,0.9683698989887817,1.069273664104475,0.9350260738240475,1.0392600773457519,1.294906226018044,0.9785972308583424,1.2412511071068684,0.9786931915864933,1.1908876059214188,1.0683681597137427,1.0521042013377604,1.1107288939403213,1.2166659662720942,1.1992485640820063,1.3889352819584224,1.3312500349142624,1.402192771952603,1.3175989340016254,1.2258334080884485,1.1603650836995483,1.1347802196696486,1.057248987227622,1.034100507748964,1.028864622822849,1.10342785399378,1.0076978067086404,0.887025016790889,0.8616500912282051,0.8274187876229245,0.9231932573278783,0.886936558973489,0.8583433111068951,1.0403671354353605,1.046214902481928,1.2682889963886093,1.214880240184624,1.2853753676192945,1.8286668785117104,1.4225329102282658,1.7353187695278236,1.874637750269381,1.571707913207731,1.4563284590562426,1.3771565392032186,1.2873991860239298,1.0671391990426649,1.0145437474552688,0.7164668606100866,0.6684374870723776,0.7649702260018306,0.8456827487978357,1.0119806023434617,0.8203506970468172,0.7868416499843339,0.6609318519821312,0.6308968109931419,0.6243176044220958,0.7482510421521654,0.9821035151460377,1.158876974149895,1.3013306857068188,1.448561201560421,1.570374846008069,1.6164979955413208,1.7505750624083416,1.8003490803151878,1.6966745925279396,1.6080776515830548,1.456276766370569,1.4840511035490096,1.2917537590567332,1.2929733146655658,1.3335058471882273,1.1033546113729347,1.314797649355747,1.1125799241393328,1.0822939943923848,1.1151960549901225,1.0951643936140782,1.0874691053387606,1.0039971871121773,1.092580745131063,0.9902265617291985,1.1875130962555835,0.9933299298639995,1.111215301489332,1.3624105550740275,1.3344315561709787,1.0860433524912037,1.044915911391035,1.1586340507200956,1.098219975261563,1.2828857450691304,1.2252858601156176,1.1672467043395685,1.1968034979962694,1.3069609656920271,1.5361411307649586,1.4396930322410362,1.8323015175165887,2.245992834417514,2.2054990276272015,1.7123200489028643,1.6538309243943745,1.395466613628049,1.4476369591187963,1.4062235857726255,1.324397929906867,1.3801596742465911,1.2007718322516325,1.3561594902243534,1.3526308015974702,1.4719100672088998,1.7140150364811861,1.5575152163121377,1.762821639393591,1.802113580604163,1.6812226869868323,1.5107601775447557,1.402590662573283,1.751091648807361,1.8178636952401082,1.8833513385051814,2.1350544477239155,1.9543789982773945,2.200370981918425,2.109601398432247,1.854515413038012,1.9846748406556376,1.8396453236765067,1.813404504481581,1.7254368743452577,1.6358566357171318,1.731253798795907,1.6687542144019027,1.6275370329990646,1.7402135022173442,1.7482456436664824,1.742811959358934,1.8389853195263342,1.850714380264419,1.7907384304954732,1.841465055004311,1.9264456541614874,1.908965931116592,1.9142562726518848,2.0638775177188826,2.0536315114171977,2.0760202009815396,2.010810037667322,2.0330084677216647,1.923563558708609,1.9428041778833376,1.9508586406051545,2.0624683032643754,2.151328731332655,1.988344355544682,1.9579651341936601,1.8591230689551226,1.8305183950064523,1.8667262122422428,1.853436930285587,1.8684920484244159,1.8179790887068041,1.9127846537916524,1.9166903670861968,1.8483797766943895,2.1054456172154343,2.002812276812492,1.911699135696339,1.9519034382091847,1.8171455196975188,1.7724556977300183,1.7699116682939207,1.7810976534677423,1.790560852991564,1.8013418198752404,1.7565493798923206,1.716868066494803,1.7526756923142437,1.711510483231451,1.7341966908370534,1.707232864043132,1.7091732019043273,1.7165778616251133,1.750163084371413,1.8039876654393776,1.789126655076132,1.9350141625502029,1.842874345878728,1.7990286010348282,1.8023160667731228,1.8367682142680424,1.8112065011227267,1.7987067623459738,1.8529232396456323,1.839856165079918,1.827884586995241,1.8733302975605128,1.8852021057903503,1.8535524037426667,1.9431380912677894,2.011325137359287,1.9426771188952945,1.930933494297501,2.068921332468707,2.1334758378908565,2.066932807059206,2.0009901161843744,2.3267961168262197,2.2561513805990874,2.1976032060020216,2.1459730613135894,1.9982821939700322,2.021182493429266,2.1705616912589516,2.071738247870465,2.098754724182258,1.9274838399605538,1.8310162540867851,1.7286428153845796,1.6229917287030768,1.4821691596294784,1.4699616794181865,1.4713801509638549,1.4701352648151067,1.3469417938053065,1.3134361406867567,1.2746288312278071,1.1550537519258182,1.0749247843118264,1.4711907616077189,1.3242824993001874,1.3791607707578337,2.9453445796881947,3.147436349771425,3.732626191860747],[1.6023742734456163,1.42475750047848,1.4885259362614462,0.8925481368700308,1.2268297314076235,0.9840731183205506,1.0522667384585422,1.1244093524078629,0.9735507596248939,0.9716070832346345,1.002670858943448,1.070448389528285,1.1513255240395142,1.0419670494578723,1.2415954505562279,1.2669079755743093,1.2296135481413526,1.3316256105502622,1.4485188966529206,1.4565302056551164,1.4647198178641396,1.5772765891508447,1.5510839568713766,1.6094281902213396,1.5310035787003409,1.4556541655288115,1.4975730275859884,1.4454992554849146,1.4444051382333214,1.403774623960722,1.3648107396890146,1.4042046752367179,1.3789126785366097,1.4840986836622345,1.5276146235802486,1.5260438390409459,1.5261774642890267,1.679225489802407,1.6997666910454177,1.8768289707465002,1.779210431926358,1.6251580796140843,1.5546864716486575,1.5606901543512535,1.9366852138592723,1.908542784630137,2.669239256712932,2.0536593970390835,2.4911855181186624,3.1849852476487692,2.420675979271746,2.2075636712094573,1.8071341808903594,2.1357652603582338,2.1501983724796507,1.9100651516764724,2.512018853916072,3.091915252987841,2.561814145050073,2.595874859577154,2.0317856059852,1.712360889556593,1.5946886078233833,1.6447641647568592,1.6374810657979475,1.583401840376085,1.4878369390854402,1.4192435543247683,1.4258265858538717,1.3460690996524407,1.3927921500389444,1.6456070930946096,1.3527523711219758,1.578518041216745,1.4170924353702365,1.6942169896826602,1.5669432418999303,1.5557925596712305,1.636088053069142,1.7346691717363028,1.7559284496788532,1.9124878693024039,1.8009579368741508,1.8274412031727358,1.7975634566888243,1.7502776149531054,1.7244634133089303,1.651379265196929,1.5781967161508825,1.534167957474684,1.5252057805030725,1.5753894215118542,1.4490734686787115,1.3491392197215764,1.3029681326901599,1.2280743766604685,1.303620376867074,1.2793489430106282,1.2251597720779661,1.3265909655940717,1.402146750708608,1.512267086880693,1.5719773450546808,1.5325774540122052,2.1361903853555586,1.5888273380776683,1.8431093974158397,1.9494683414491984,1.56416323053679,1.474031640858456,1.3926954733290673,1.4496744491752864,1.2730335521385836,1.3081740619080233,1.0804968303893425,1.075107561676284,1.1925680987785028,1.2247277513607588,1.2904215486978454,1.2140808243374066,1.0844314714836107,1.0145592589189372,0.9795299344179296,1.0135293550009619,1.048998080679415,1.2286450677418492,1.2213920578780375,1.4108112151957755,1.4924321529634907,1.7155308481202005,1.6339657093331301,1.7978341020936766,1.9694140441587284,1.919239136770723,1.8355949856735976,1.6999652967196357,1.5678752727901668,1.552987634468955,1.627345606929459,1.8563189542303793,1.5917337727860588,1.6778105706725759,1.5747509800699047,1.5868784171892045,1.6474241781314378,1.605647166124481,1.5673540722563684,1.3939077379045761,1.402937166962728,1.2513698475426607,1.3520757250206998,1.1647998280329508,1.2239461408428796,1.4479053316162251,1.5145637839515411,1.3264326645575248,1.3235472127315568,1.392994014990577,1.437197766472062,1.5531525680671585,1.5889857404233394,1.6351657292766852,1.6955542767571565,1.8404715794706437,2.074597382483814,1.9312493958878547,2.2573651697231156,2.658308410092841,2.422930506587774,1.997939041328161,1.9396556312957043,1.790524183635911,1.8702805964172866,1.8341752833964469,1.7633839339991486,1.7846628979982864,1.6173537878241901,1.7695084261344194,1.8173170994683634,1.9085396840501618,2.138201001982905,1.8978943814746716,2.131793149328363,2.2196829681013908,2.127692015297007,2.0699210102910905,1.9692948070614933,2.2954074893297456,2.206764278616998,2.4326687822737094,2.7142039961998154,2.493186564518552,2.6373204334123024,2.4231673101709696,2.0443547025202613,2.037992690945841,1.8521751530731962,1.7512459873774797,1.559282046608463,1.5165404276337466,1.5557619402478,1.514268954096708,1.476425280200574,1.5184354507721558,1.528917515684288,1.5470436271935066,1.6046882264521072,1.6066428008742009,1.5700379722784363,1.6457684177432341,1.7066312017078509,1.6836535157755803,1.7348610686561552,1.9049574812876238,1.8701939907281961,1.880576988546353,1.7756194413511703,1.7723301200221917,1.660747502711425,1.6888713211076425,1.7206322113003976,1.8520792200369782,1.9659281551781052,1.802383560990798,1.7919295693316106,1.746647904758046,1.7088796074779566,1.8520197840889854,1.799480057102455,1.7399380131540227,1.7544921167453227,1.9147241815515519,1.8311899196045784,1.7657883703535855,2.1210803243698373,2.0328052432908224,1.8176437212806218,1.877299757724059,1.646449583690859,1.695655762738974,1.7044522911702709,1.6489736023318573,1.7078936319737048,1.6860682151688842,1.670522478700423,1.600938354491088,1.61751591354233,1.5793445316659338,1.5949977729328721,1.5257091040440338,1.5290653295693786,1.5548618295172003,1.5599758327764863,1.5871643860519975,1.5863630700463838,1.7581431009494253,1.6147041066702905,1.561679338399853,1.562780780427697,1.6109254940703932,1.608017727872708,1.6164485048554644,1.6267740336398266,1.6009924563597662,1.6294805537088115,1.6639599288074125,1.6482185728077066,1.628166251688895,1.7995056602494885,1.8283755149413128,1.6941668438857156,1.7524219077892231,1.9670839987004352,1.9759003511813333,1.8506139013758616,1.743000251633142,2.184275749293349,2.0641969413739014,1.972364848433768,1.9292818820645796,1.7413477217973559,1.8215559457819792,1.9835448664972473,1.8347226003952595,1.8530383551781258,1.6433103184122804,1.5448959014094765,1.5147561386612838,1.4679194633171322,1.4015273017757786,1.3171191677910172,1.3558002277564722,1.3295412467946155,1.3157232243757635,1.2560477507089307,1.1432492650660164,1.0702630559270916,1.0818332193399118,1.3684277820260542,1.2454988561936653,1.308332076479336,2.8092817784158868,2.97320168822475,3.5947597930377473],[1.6883114266367343,1.3279358026694417,1.328160704684081,0.6500006121421824,0.8697465063068396,0.7385401760478291,0.6780808674453923,0.689324265211415,0.627255404002969,0.5527562458125239,0.5706620381101029,0.6050597289892098,0.6380043121449082,0.6069412123388361,0.7686533716652101,0.7346953252795939,0.7190678415775452,0.8196488383769038,1.0295938645539748,0.9424280940026291,1.0692756563126498,1.1281867913902697,1.351717121644321,1.4240669542004276,1.3255549239963444,1.1113401555376292,1.0098751514885775,0.8871259673095464,0.8481917391392162,0.7848042477218944,0.8126781324674499,0.7849231793876368,0.7821764235070259,0.867805139229915,0.8873752270324418,0.9099593615266165,0.8644911407707362,1.0324640097245366,1.0106100386912102,1.156615202195268,1.127506325270948,1.0857490830533547,1.1575040127591327,1.2798423152341212,1.924118234382775,1.9626168747037815,2.7767444161618187,1.872711878100815,2.5477689265869747,3.3910081033892605,2.3249533312575883,1.915176683444934,1.5645998484334984,1.4238632084946126,1.6298520449959868,1.4712023202618603,1.4268459286375594,1.9484525705046676,1.6109345218880788,1.6833554072000678,1.2226053919666071,1.149490222812854,1.0590076885667168,1.1430676842681715,1.1784236244565012,1.1038261340242599,1.047855040217047,0.9223806513649799,1.0221211148136116,0.9081009157106825,1.0001520236385493,1.2358824178685417,0.93619297442028,1.1827764654034063,0.9421612962706281,1.108062471825937,1.0298787178068356,0.9903150312734792,1.0332693418270056,1.148659184826802,1.0413833360260538,1.2117783574281535,1.0745981121777677,1.2142086850331881,1.0858320724276618,0.9929279471313597,1.020596174797575,0.9873137687597016,0.9711190873799656,0.9194284318777549,0.9549703163396209,1.020781748915207,0.9202043758597901,0.8004634343506186,0.7715620701736667,0.7563963381640152,0.8593926937218824,0.7452818806552128,0.6837282017659569,0.795614821882278,0.7600374482430151,0.9010080359967132,0.8646250173697673,0.8449780480410299,1.314669352642536,0.8908064436586234,1.1537804620519976,1.270997969589715,0.9563227186052259,0.8386998725153818,0.884735411547952,0.7988573144357302,0.699737252724984,0.6934698872640943,0.6120009717828107,0.6351049328219395,0.7441253738349332,0.835941082599898,0.9928659293699739,0.8053550005229071,0.7772611342338527,0.6684352867971102,0.6469485781706791,0.5579115920923279,0.5678635604687667,0.6807924201993256,0.9374713212422984,0.7746607863811593,0.8649336226620616,0.9554301549273372,1.009535307502699,1.1074881702439152,1.1572012001571665,1.1080309441521987,1.0271493439793917,0.9265881019149633,0.9340411467757933,1.0026151838969946,1.135116238123227,1.045424488690295,1.0787596453813189,1.3416865554628625,1.099529312024478,1.0022445401267925,1.0055236546989537,0.9244154567019601,0.8963462251195587,0.7717982904058273,0.7585922853569279,0.6866460336970752,0.7955267485156304,0.6851409843409534,0.8146112177373444,1.1640874244998876,1.1201210507503265,0.7843610206532551,0.7423722951189562,0.7706939383706329,0.7870073197735032,0.8503506715322767,0.8364306190057721,0.8937160793377725,0.9428740414188996,1.0210082707422872,1.2217867661735018,1.1662784870431622,1.3964410850223337,1.8725236681288997,1.6674480895420163,1.2272461252619042,1.1223259329582553,1.0046866392942755,1.0158758108781887,0.9910362528379711,0.9405172252904878,0.9290056390366133,0.8765280258988978,0.9800992905935525,0.9936831484040184,1.042980496370884,1.344866102863137,0.9732042052100801,1.1519675641283023,1.2605575600769432,1.1831292033438887,1.1866992215156797,1.2510251270207402,1.5491938034633068,1.7010737833117315,1.5993692771852321,1.7391531882567763,1.4682288310133615,1.6547282092534001,1.5050805572841954,1.564678255381161,1.7582421146427685,1.3793068016954304,1.2669783326562396,1.2032806604690387,1.09248293119245,1.234843962455006,1.1174120489031556,1.0323832161506914,1.1936983417257376,1.2383735385219266,1.1692669799580073,1.3220807026901347,1.3981350974492073,1.3026733086215503,1.3904260224797247,1.548149259413771,1.537116771785179,1.507451539059318,1.7848331752610462,1.8076857333616727,1.8285376041033377,1.7336268086254922,1.7896401991437356,1.5969157257613065,1.619809986421397,1.6657370992401042,1.843041170933035,1.9264990327490925,1.6535404403223657,1.5994901315204915,1.5591796378625955,1.4715337664006312,1.6999698395347203,1.6420948813862921,1.547816853804063,1.5677882283044637,1.7873337982918522,1.6791765801490386,1.5838598910181856,2.0222407467718106,2.0187282133976217,1.7086302453052669,1.6989403132602234,1.3904494618574468,1.3110688550632335,1.4711152955999656,1.3627415371140328,1.4072116856293064,1.3721669268894843,1.3564057114858787,1.285247769131929,1.3363986517607485,1.2427837882574932,1.2287350414736753,1.1632428480294519,1.1728172653419693,1.172983148735748,1.2134792509890593,1.2994487612997039,1.2817067629892833,1.4506468492881748,1.397169970079071,1.3710681047384827,1.389968997762457,1.4114197850795474,1.3362963805075596,1.4292131115481321,1.4849205083292099,1.4161864844113696,1.429749489832498,1.5432155577557807,1.5448151245651411,1.4595375387260618,1.6948812255255143,1.7783241355416437,1.600120229198584,1.6382306417370742,1.8927480770938834,1.9418917030691023,1.8151861412139807,1.7304600782091295,2.2498250960798507,2.1577813044113854,2.0602685643973,1.9648071894236507,1.6555081855096716,1.671176760056823,1.9375208768896806,1.7646320436291785,1.8464127228967167,1.5292373581560799,1.310990103523454,1.1338607178398048,1.0416006210061795,0.9462992101486584,1.008316268809188,1.0381464585211335,1.0735424014432378,1.02388673654239,0.9666240403703034,1.0624780138156107,0.9502037347661786,0.791758178086801,1.1090392065823595,1.0620034446712896,1.170768693467506,2.622313008819116,2.7945110839085285,3.4964078079128864],[1.543845023140806,1.2266112964788378,1.1619532487890916,0.5797188474963894,0.80436839102267,0.7102782382889689,0.6924488960876392,0.6973415251044008,0.6492284849475547,0.610891390680794,0.6304526369144711,0.652955738578837,0.7016200472339889,0.6606559914552049,0.8105404479755772,0.7865849738139608,0.7902512275604224,0.8764265708575415,1.0308652469763078,0.9808940781147182,1.036326976691009,1.1077189584545062,1.2240363618897927,1.2752622877676865,1.20689335377363,1.055315680761044,1.0245933105704534,0.9473389988351637,0.927395902439249,0.8557587701100264,0.8786250224663557,0.8633041015747559,0.8519525972142767,0.9335208262894237,0.9637406737919285,0.9811278348112406,0.9324741053317124,1.1091473785668304,1.0929016636717945,1.2268212939080574,1.1882800483215084,1.1133847254433389,1.0965584251650415,1.181246456291146,1.7414068312063724,1.8171500634278637,2.587686291041538,1.7296501821625476,2.5041685193570546,3.2204151010360653,2.1993455173744096,1.9667384597567548,1.4810330337208253,1.5084282418309396,1.6982149106714108,1.4246047009397362,1.626772642552072,2.340736547997958,1.8539825801799281,1.9442304057994864,1.430133625618869,1.1976501926000458,1.084819575935366,1.1792770349773751,1.1846559371398537,1.0995391577789964,1.0646493107563053,0.9718850037064752,1.031107217746612,0.9572463430508018,1.0213522131865072,1.2696230299220939,0.9627409077599149,1.194524803880753,0.9847153376671275,1.2584760506554846,1.071226162789954,1.0334402517605046,1.0810013645389809,1.1882480699007314,1.1187013932156837,1.2795804700095046,1.15862343966187,1.2114128975051361,1.163972252344437,1.0764548556952627,1.1004974924975461,1.0268464157313075,1.027989583111909,0.9809199073068877,1.014824431932935,1.1083105235751078,0.9765730826580483,0.8561686384424297,0.8299993308137014,0.8080024290332305,0.8837905015157453,0.8033940739751622,0.7319809298407292,0.8362546126617878,0.8358335764810939,0.9651750963555138,0.9440170614757756,0.879301986140443,1.3785761701425119,0.9227297097132334,1.15556857280595,1.2976022554879192,0.9413452192350333,0.8346524985887047,0.8568321680623,0.8635195207103955,0.7601861629758758,0.7828798425051727,0.6577677658793513,0.6620340382735849,0.7607795409699104,0.8442787355751534,0.9683504853399705,0.811057800015201,0.763462582419176,0.6704158333741018,0.6477703487609249,0.6406069770356713,0.6554976782872342,0.7681217908590605,0.8975976880912048,0.8326911562421415,0.8810817252622816,0.9870664482867963,0.9939301630770332,1.0757030985985894,1.1890492568127984,1.1326161562118195,1.0870952452828428,1.0419667339477812,0.975762522687338,1.069723755929287,1.252781533182677,1.268331239163325,1.132773437178435,1.2849546609849818,1.0995551164771111,1.0732147830472292,1.0850364219411108,1.0491080748532913,1.0191211175401838,0.86640940703353,0.8480289415452387,0.7562003775091103,0.8399814253591915,0.7119979525247795,0.7756242238978602,1.2070361881646572,1.1874485091683078,0.8191081839107485,0.7976824586698442,0.8254258182816631,0.8671243162721857,0.9112309767175902,0.9472007569731101,1.008217891751555,1.0748066384498207,1.1535478227084002,1.3457914242722846,1.2851479125721086,1.5711219320539744,2.0685743691817184,1.8822643361722997,1.4502535553832947,1.2828329778888046,1.1446310201919758,1.154383982913622,1.1019135702222405,1.0461478870544023,1.0486027355305152,0.9672865824632935,1.0628225911213498,1.0995890724718478,1.133989205503511,1.4380360448456793,1.101383131917952,1.27107042109441,1.3617912293487129,1.3057300677014072,1.310078439174972,1.3128362381059637,1.6510752925267858,1.7513387128581341,1.724933647564603,1.9074011810632778,1.673074402985741,1.8097063355828944,1.633222295343003,1.5164111012787715,1.6992174777867388,1.3164916369953898,1.2027316182701018,1.1160523825132427,1.0108108702884233,1.099836084800361,0.9929595098049561,0.9329110484091931,1.0492501963576129,1.0792681767893444,1.0567834663672573,1.1751981679851276,1.2242371726749295,1.152540842327666,1.2799197985698034,1.4059925209435453,1.3917430892088725,1.4177315106662574,1.703715489071655,1.6992696653098722,1.7016433267457305,1.561912488154112,1.5592262249615378,1.3820982514747608,1.4068235248377599,1.4577800621556412,1.6619678221878653,1.7288135767234054,1.4683970234661308,1.4316154842149305,1.3904772444238445,1.3056877092447283,1.5310475216324433,1.4965576090062211,1.3994453586654874,1.418498581108458,1.6618762491733465,1.5537392132801402,1.4618679285671814,1.9222940568219258,1.9855967867938686,1.616243944611613,1.6546347509193198,1.2712791810913229,1.2074356059576974,1.3355200352441259,1.2147826554114407,1.2486059605387185,1.2006610213705626,1.2200325929916231,1.1409964616068111,1.163415305474404,1.0840459948027539,1.1095114100673602,1.0175742160305352,1.0332404889422284,1.064710924495174,1.1001031630491764,1.153828902052371,1.159851402135125,1.370924717207728,1.2536405805215824,1.206002171377623,1.2144124614931224,1.2260808754163022,1.1644459832210785,1.2441232813746141,1.2904870651513338,1.2282047746673608,1.2465101422423217,1.3526849354587032,1.3394152028656323,1.2805488782940964,1.5386704591022324,1.6093301001738098,1.3972412353635189,1.4918513135919087,1.749164050719232,1.7668845594946572,1.613844190726621,1.4831817921280406,2.0671399688980676,1.902171585866498,1.8161599734406695,1.743388649188798,1.4503417537255243,1.531011767014153,1.7787315200456233,1.5436402078016798,1.5793361741887153,1.2458334857682647,1.1178698423883062,0.9973849909867506,0.9491732020811348,0.8803207640034175,0.8946890927842585,0.9457270876964042,0.9613846577861943,0.9724916853553395,0.9010931337739186,0.9751242710577566,0.8684941574381826,0.7636866099825099,0.9978826950590286,0.956443719045648,1.0556345247650054,2.514943469200895,2.567988964656225,3.2211204136949654],[1.5001501147383758,1.1902182385651736,1.1018740354640542,0.5772632565856686,0.8170501445891978,0.7013125908218112,0.7461109244517183,0.7657519228770674,0.7159438331447128,0.7338233476329489,0.7642516195675452,0.7736856991951674,0.876066158048621,0.829024664413374,0.9980635747958211,0.997584048457987,1.0198315160458233,1.1465091441048987,1.3033960735378827,1.2893164688048673,1.3477117643981764,1.445790532351317,1.4785007990295238,1.557274382200918,1.4376303754314204,1.3370047738744342,1.313549778177511,1.2358608848096646,1.207080663619208,1.1083472522733269,1.1307400114929202,1.1014831983965143,1.0863349093584154,1.2147161422381278,1.2446236360794976,1.267959561979211,1.1971978087851496,1.4064841481855133,1.410395203592115,1.5505345580622714,1.5144580718685736,1.4360410127366479,1.374357403043298,1.409652661366186,1.8111247152906542,1.8604810513303196,2.572447715428708,1.9003828913674483,2.498472638244322,3.2104737594008745,2.349079459065803,2.119380969249301,1.6601228528425491,1.8473717677630994,1.9297409582828509,1.7119000448199606,2.2056972401489268,2.83512128398938,2.325755595688063,2.441204820287717,1.899433271995806,1.5811744564443078,1.442961516645564,1.5563532633036337,1.542373235204259,1.4351605696358984,1.3865202584602452,1.2804628361534849,1.3110511036273158,1.2089817392283795,1.2538480051789416,1.4987647429276258,1.2216965724039233,1.4678800731729345,1.2778454018692587,1.591344794814058,1.3884693672570427,1.350272722993634,1.4114830678486956,1.5090813208126668,1.4385354101296028,1.5845485597007891,1.443766547143642,1.4446830232961656,1.4258867825763288,1.3794385110984837,1.4239795241509674,1.3054498539029202,1.3349617399377305,1.2875412951293184,1.301866379357295,1.4006672803371336,1.2475101669434707,1.1064706237889734,1.0585080456559361,1.005673438538002,1.062378729274284,0.9982203779467279,0.9008166077498152,0.9763043385821781,1.0394230055013178,1.1029439439141808,1.1562528884220837,1.0498207147736822,1.6090760419211092,1.0783732317798427,1.3280449543255846,1.45662648571841,1.0410723858671695,0.9485898096158307,0.9242569731814185,0.9982958319367911,0.8904452549148895,0.9599885677408238,0.837954460722693,0.8486197103888363,0.9927794694033377,1.1003321047302874,1.2083572914822989,1.0558686911330506,0.958552264716716,0.8478650832051586,0.8208926081978057,0.8140777379221047,0.8004187516625981,0.9108575992546109,0.8957487762554245,0.9613601964048032,0.9879674550949915,1.1564204281133992,1.1043114506828156,1.215701321283913,1.3851475426357363,1.3429109530906098,1.288352209294846,1.2374641684275665,1.122111566585655,1.2177611691544987,1.4077988680578433,1.563450744068026,1.4212138758321018,1.5252516762688844,1.3862289304992437,1.3541661836948184,1.3827583587570553,1.330770399702688,1.2797759308293977,1.0824490696239393,1.0297103527410465,0.8945076179653066,0.9449294278661539,0.7935835624949479,0.8292993545471999,1.2416269931812305,1.2717516378971385,0.9296312705524997,0.9446657806258626,0.968828188938028,1.0601906179607388,1.0959139666800777,1.1724005880880777,1.2765257356392055,1.3536394262677893,1.4733115061358057,1.66548997658412,1.5880561396929602,1.8535161799108981,2.3301408246967097,2.058572512744244,1.6401833512806847,1.499591019155948,1.3827956649219482,1.4203361474517435,1.3696523473606714,1.31340122373446,1.3111248063136212,1.2126361386693507,1.3205823052670194,1.372163628695983,1.4130813152373662,1.682506841932331,1.3571463230801284,1.560340969962827,1.6715095281044066,1.6085841200601068,1.6469688736661388,1.6139462111147096,2.015230780597092,2.010854039371808,2.114483622175662,2.316704498358699,2.039443586034031,2.101191395434107,1.8832078654347923,1.6659861018576652,1.7722146383622341,1.4216377515662695,1.2820951937252816,1.1561424012455646,1.0501265896430738,1.139749474672183,1.0347286247325023,0.9726427593462104,1.0656985914180965,1.0942819056788866,1.0731944584949196,1.1664795753800028,1.207664054060144,1.1454707388735474,1.2680546702163251,1.3779616988331675,1.3664530594336746,1.40380269217425,1.6842154519194774,1.6845096333812017,1.6879097233214773,1.5312926439682375,1.5318002863668927,1.3601194358317243,1.3900624861820856,1.4870751167557772,1.6886921705650821,1.7977783782956724,1.5277910770006353,1.4926162793800932,1.4735826564904198,1.3811738470224801,1.635791046101301,1.592487452599058,1.4700588349845722,1.5054861356083928,1.7749567784000206,1.6456023275158354,1.5379683893309748,2.02135665643779,2.0789688427483752,1.683548965121845,1.6852905067651216,1.3146655068798856,1.2760035600773902,1.4036393232476025,1.274821485515131,1.3206248656381263,1.2669103668212962,1.283838820206139,1.195646488882641,1.1992631993929903,1.1298952258694497,1.1482118468825837,1.040594122433329,1.0541845698279466,1.0914957114851949,1.1122696434127632,1.1569171815474308,1.1649217415394462,1.374153832354443,1.2416173603096023,1.197478371746223,1.2079893157345638,1.2391997617954729,1.1900248793198602,1.2833453935309551,1.316385003567075,1.2335559427958713,1.2830177642654388,1.3986746930443839,1.3601566081438776,1.3082249265805594,1.6051944860183909,1.6651574672423226,1.4108395934713234,1.5389295503155995,1.8465025709410023,1.8139674828305832,1.6330287384763498,1.4570910702964464,2.080405408164813,1.8548930307183091,1.79007061060312,1.6756688275976297,1.3993963647483814,1.4948964792325226,1.7096935077177757,1.4760561610591028,1.505348812646789,1.2061712981401547,1.1165615183617457,1.0187830629168635,0.9841953912972985,0.929808334873964,0.8909367985990926,0.9427823343817917,0.9404729260909949,0.9620537114592602,0.8918550381048809,0.9245382832408267,0.8105253957942415,0.7592702547262101,0.996293127297671,0.9473793677033591,1.0805592309160574,2.569281764220546,2.594933025260788,3.2517033128454593],[1.5926516460306883,1.196333483810743,1.038522038034498,0.5991242945586045,0.7871249027791717,0.7177449711705043,0.7186304672776951,0.7231139773810499,0.6915383567538278,0.729856172692082,0.7636682546762735,0.7596818461000729,0.8569887503644132,0.8622403961671105,1.0283989326998044,1.002637552306352,1.0521397707868265,1.2021461466713923,1.391783320268254,1.3626882500065771,1.4601719386649632,1.5433967771187356,1.6034298663376187,1.7061818931875363,1.5257038699526557,1.4404501962562486,1.358780615721244,1.2784905726689224,1.2301034256752588,1.097764695044639,1.1581386788658412,1.0808962886886335,1.0641705139717434,1.2122170812020505,1.2379915339044163,1.2783875688824056,1.1678285491147076,1.4098496668373335,1.4121874083583887,1.5277530404916781,1.5292215783207763,1.4816627658074726,1.4035402514479969,1.4436559484039133,1.8298090782567522,1.8558121144217694,2.5715893075349805,1.9338531294898764,2.4980962590033458,3.2111273460424927,2.370606351535441,2.084591916236133,1.7012586775028171,1.8501437339987412,1.9645417113556662,1.7651369544420952,2.2309895517717417,2.8179530341833736,2.3517748972927226,2.503351787443388,1.9850548533829102,1.667963898999061,1.5161199445556368,1.6853290971063453,1.6577330190055788,1.5131985744717338,1.5150504569211978,1.3745216468489718,1.4275011465263627,1.3017542944850375,1.369996744384161,1.6200085233244481,1.3483208680332808,1.5828609983994752,1.3644344520307194,1.693727815676026,1.4595271063459376,1.394073496713916,1.4386911968449014,1.5227770784313008,1.4124208386612123,1.5529472217076867,1.3783437371296328,1.3926672613064797,1.3795139784531238,1.3343942806471922,1.4131214538648016,1.2780364832519582,1.3552744466292073,1.2974717989060625,1.3352558340144045,1.4617568820938907,1.288992289450606,1.128094312574576,1.075941982377042,1.0315497601003343,1.0730920015611736,0.9810795745625163,0.864027025223496,0.9352778277838191,0.9721305493650605,1.0112413986839528,1.0637622728342164,0.9521543460667309,1.479647925417803,0.9646511882201705,1.2143561378655365,1.3656631851941976,0.9751257865819327,0.8264006478809317,0.8659275282700127,0.8970784447765534,0.8235089277721175,0.9141319137410835,0.8233710261158992,0.849603256020376,1.026351761040745,1.190076394889714,1.326770361244537,1.1378497364591595,1.0498412777845678,0.9024256031483158,0.8787233323446696,0.8512521532217351,0.7936547715176281,0.8706321961399985,0.9087161621684146,0.8672834870127087,0.88896106530645,1.0474579878673866,1.0451110551870988,1.1300634965974377,1.2793853603774292,1.2309520300638366,1.18575572606399,1.157215492269882,1.0640069360931275,1.2140010794467497,1.43001267164024,1.5569322848640872,1.481374085091239,1.591775988235278,1.4509189200353174,1.3814076293602606,1.3948419611913412,1.3396560144783491,1.2768345504874894,1.0567527491797915,0.9665927085277014,0.8399722104311881,0.8708752759454303,0.7396082035172042,0.7829156476931819,1.2614065608860618,1.2557232018646027,0.8625319081706764,0.8737766873384383,0.8867248211265559,0.9929373259950001,1.0003109586658596,1.0962007233471693,1.2332514018456957,1.3272364494627797,1.440738798522498,1.6283194901720581,1.5384035634171869,1.79028338960469,2.295286615358946,1.9995604139730672,1.603820369940203,1.4269781592806072,1.3285432413961717,1.339251205199912,1.2805370412950827,1.2275457379329064,1.2057700550313075,1.130656356735578,1.2292273917117447,1.283026631067822,1.3062977999066456,1.611580539029815,1.2241503059144028,1.4150357360209573,1.5473261927076938,1.5080250362157583,1.5950527277561388,1.5773799998613507,1.9848459190149983,2.0155549646395503,2.067564547615076,2.240688556140603,1.958759883285881,1.9893432670961824,1.7912226516556804,1.7052827789591096,1.8715569977214161,1.403701232541944,1.2826449924222776,1.2142527371177276,1.0654901291152057,1.1967612479027274,1.0269932792889318,0.9325549135633914,1.0739205202289777,1.1368033695285167,1.0009308267654022,1.0859083744329734,1.2048684406146468,1.129709722676281,1.1925607055125893,1.3278381704155002,1.35913946359197,1.346798962116716,1.667677746339779,1.6897785753149186,1.67479061100267,1.5931673066128806,1.5912723837041642,1.421755193211411,1.480384561279296,1.6966960067340724,1.9583746757617377,2.0409179459087765,1.7375335512440397,1.6670964415989393,1.70251942537412,1.5400074265149117,1.9186301114719464,1.9054528112615765,1.6446514276405408,1.7254265947410128,2.0824992643718776,1.9075328581582838,1.7536356569059277,2.242087715436148,2.4221339473167984,1.945656796383025,1.8384029523256324,1.4304452340205016,1.3339021763595775,1.5505518101089086,1.381432846339977,1.3956355540814696,1.3292776589174864,1.3044212344750044,1.2320127865740977,1.2612394519890655,1.127636735454682,1.1205945281776695,1.032726736933655,1.0390563937621005,1.0318699710533696,1.0612658719750447,1.161140554510454,1.1395885222294306,1.3046936930480222,1.2319720564708798,1.2510143285755906,1.2799361120474781,1.324567545073936,1.2419897687255779,1.449186192293919,1.4646708027827005,1.3107713281175228,1.413254547614984,1.5887943073102309,1.500365638044469,1.4338252943421728,1.829004811888744,1.9061676110590215,1.5310535435473076,1.7307602616855222,2.0911618472014717,2.006734844335242,1.7464648365709423,1.475259491120017,2.139043576118196,1.8159102418270374,1.8386673106480658,1.6395193213692498,1.3506262924261259,1.4228600560712872,1.6471242380470081,1.3826070545014464,1.4205775422067144,1.1436750095942267,1.1095374486644407,0.9335417460270462,0.971614229399343,0.8638846075287744,0.890358301420857,0.9627932850946989,0.9888127390725415,0.9765903980462022,0.9070642334608957,1.0436633479503248,0.9223160902599924,0.7581277550563142,0.892770718663809,0.9149620744368898,1.002063063940369,2.376434957124996,2.3410795512971148,3.022131637652372],[1.8493278826294046,1.4572186794523787,1.3831249556315424,1.2655518079015486,1.308805286051703,1.386109608646138,1.5296685532063385,1.5259912127119826,1.6892170132348814,1.8743197142731698,1.9747574178907763,1.887179921335418,1.9680621208730005,2.1475801005790407,2.2910214015242047,2.1965110244801944,2.2572563332507194,2.4425280192735017,2.660922491822363,2.4942738601863943,2.6183157374776753,2.5717885326314804,2.68966342211713,2.7562586447173216,2.52058749001457,2.5762916376994145,2.394526296080659,2.397149681329175,2.335101077559919,2.1667110492499866,2.3731979609433225,2.1427438928241096,2.16802478131273,2.318928874305649,2.280548608135545,2.3478922444577943,2.1402118601880615,2.349623382573153,2.265967431158705,2.222972633862416,2.338648683734467,2.44153770336967,2.2963133816001826,2.2619728969547857,2.60787890112022,2.2886340504320817,3.0373655871284253,2.670309146056319,2.6024965327554033,3.162619337205935,2.5873863501248326,2.3367720283235616,2.261480766759624,2.557031186981276,2.509398429685672,2.4981816638108403,3.098000945509927,3.5018206219876684,3.09643632907528,3.2041796715322235,2.860200617115494,2.667920722226374,2.607047832345593,2.7795714360884656,2.711301320364162,2.6102250737213697,2.719636093835686,2.6281491983686465,2.786469243561464,2.6387655780709203,2.7471767551378194,2.993812095504046,2.775507050353688,2.965142980450517,2.6609519916531625,2.7900170668056297,2.6294094247701127,2.5425588730453885,2.487306526651366,2.457385804312533,2.263734428400644,2.224919762625973,2.054817577309566,1.9567813067258244,2.0104548858702955,2.112359541527374,2.2748409858546736,2.178701992312172,2.386464070255794,2.3666857856042784,2.498446201393403,2.6768061947162844,2.5458319046287183,2.384599094698435,2.3281742746107663,2.3456083245989685,2.333459019379708,2.122803276276083,1.941775460199799,1.8580118428703287,1.896958662280172,1.7158190778405311,1.8316343417809164,1.6055102551174554,1.9716928500615145,1.4841728531008933,1.5967261326285702,1.6926584942569456,1.376172867601121,1.2722228592583056,1.347039012606176,1.497610552396496,1.5970138261075666,1.7535693992032597,1.9009494672830558,1.9816853467301614,2.2176215072580163,2.398694522144639,2.587447326641482,2.4470807540737116,2.4171580474359926,2.2409489831569194,2.1972278840138864,2.040102274074384,1.8440132136765401,1.6979176843362154,1.4851214553610173,1.4359048487239736,1.3627808382706892,1.5142921912808058,1.4478464286204125,1.5526782434920188,1.6727374567019264,1.6528514672947994,1.622689773446816,1.6802159077843168,1.4809897087416208,1.857029443415218,2.2312742552782003,2.2961603787099847,2.4150267101442067,2.521198606144407,2.502219153228829,2.3246138682279653,2.2805580959246474,2.2693508958422735,2.1968788936453767,1.9698187686231357,1.7533606496474468,1.6954762414031996,1.5700179352058952,1.5451403663583323,1.452417632741381,1.8363584290021902,2.005975278280241,1.688173943215584,1.7759190125041469,1.6383485553516102,1.8504959406453487,1.6891968150946186,1.7814387866405765,2.0336793983014823,2.090561374043996,2.148698550692801,2.2700603106152686,2.028721357756516,2.2039359008317185,2.601870925740112,2.2474912637094073,1.9673596361508017,1.8201476568529924,1.8881992397906384,1.887905908053264,1.8732644313821134,1.8829810502592053,1.8433758222654186,1.891970292174694,1.897488035488515,1.9557990037396935,1.8891937457293801,2.1525832246148333,1.7348286125240369,1.8303373953123543,1.9260127833646263,1.932197790504581,2.061396761523285,2.1345810018065867,2.428787890394332,2.349841601549477,2.437857492599643,2.5946266959435818,2.282479736759194,2.21506075743355,1.9903332306420076,1.8607263711893935,2.092129668757709,1.8600679776216165,1.756908569422347,1.6492960624182267,1.4685085444767227,1.6690055291153711,1.4364828033936419,1.2890662079730821,1.416633642951863,1.511268820536496,1.2686845701892557,1.2832119888060143,1.4610205913606862,1.387491315919698,1.358912696829594,1.4455164413259185,1.484719259796262,1.4822059446134608,1.740938906836981,1.75029855954776,1.7455823191679543,1.7314625885933492,1.8249420552945437,1.7112207616171278,1.8225104429763819,2.2571249695827365,2.504783120133059,2.8123237513400627,2.433501645282881,2.3724928416217446,2.450719129838654,2.220373306957055,2.707965841312058,2.71052599905771,2.325937379683708,2.437646176042947,2.896490052551874,2.6929846889360203,2.4519469057028056,2.9767007066672653,3.2092392996508545,2.6484015264477176,2.4261600813252184,1.9704866059405586,1.8664078473072065,2.1556414831369004,1.9440025364753588,1.9431696939747216,1.8752585437915554,1.7719215096815986,1.7123990952399248,1.740459162590948,1.5999429298294114,1.5127705771713273,1.414894251267468,1.3907498676852503,1.3403601220229793,1.3232774607999698,1.4550694718290738,1.3742852095695395,1.4723401490101515,1.4233974348159095,1.5156711642040366,1.5869002432810184,1.7307383477222085,1.6734930669539276,2.015127719859841,1.9699273910254989,1.700010555961121,1.9581986152206623,2.1921042424408377,1.9894984479357394,1.9341468634625072,2.547233569388499,2.555392133140793,2.008854830728416,2.346120379565768,2.8761489851424753,2.667920975058058,2.2675546395830417,1.7900934903914436,2.554328055349889,1.9896615178767096,2.005320832793934,1.6861791586381762,1.477648890293973,1.5322315265891742,1.7242398953619478,1.4878968139544289,1.5420526669249432,1.3736470031286252,1.4399273587151702,1.1969126395754033,1.3068695202926628,1.272014321493619,1.2570578884850916,1.3180243863577326,1.3179141191864754,1.4098019773354014,1.3583277604574806,1.3705170512953422,1.326308152352044,1.350536103214736,1.389615078574736,1.4642985869529472,1.5194180555340513,2.6136257432391523,2.6895651609640194,3.3965942787942844],[1.8035257484694749,1.3745118877119178,1.2581194753259985,0.9048277684663433,0.954355236477954,0.9211606878207776,0.9165308362321183,0.9018628769167877,0.8989874442510222,0.9504346823565983,0.9958329341013361,0.9750811311806439,1.0473217604662215,1.0987752827492292,1.2389541580094803,1.1902712912853537,1.2485663582191775,1.398242668804856,1.5980666131717678,1.5470112773612994,1.6471379247760467,1.717729053639634,1.769456641554779,1.8790460062880465,1.6735820901388174,1.6159162972262249,1.5201775519929344,1.4474429978417391,1.3963080664516434,1.2552892688001354,1.350161991240456,1.2389380244691035,1.2279273137829891,1.3870619968179105,1.3920714365586728,1.4394924839699097,1.3086675976388245,1.5575213023983718,1.5420319121921202,1.6429530873961684,1.6630189745349329,1.6404784304672289,1.5593661843065036,1.6080222267404178,1.9071600540381068,2.046180867221809,2.5864425874359087,2.0409610394901256,2.6450092554863716,3.3857033679683797,2.605116883623136,2.2883900298245576,1.824977762913116,1.9766518226167458,2.0579318300404337,1.9078060591177084,2.479541545084081,2.9949007822460008,2.533524274111326,2.713283667850798,2.1803970409192566,1.8492248719185547,1.6922009478080384,1.896514179006418,1.8474982101223876,1.6768987877202124,1.7108813005392554,1.5855970050137442,1.6634852807901759,1.531717186872382,1.6093057144743623,1.8699138357506335,1.605396227567498,1.829181155291469,1.5848478551725458,1.9428140417040807,1.6542811547298417,1.5841456557719826,1.603561403593699,1.67941429038953,1.5499102018761943,1.6719468758979676,1.4837721985473833,1.473077908536937,1.4709883170214109,1.4340623325296644,1.5556498363462763,1.398832883843155,1.5176223235391264,1.462333250369898,1.5323573059360789,1.6848195491788764,1.5134530540554314,1.3336463906230391,1.2778527899210317,1.247415432526308,1.2757908318083495,1.1744715913887005,1.0510178112904205,1.108820145823077,1.1164534990751738,1.1386271956873106,1.1631151807132667,1.0647023339980004,1.5479175596317511,1.055954707044579,1.3216742723762729,1.4658298213954892,1.097452905301447,0.9666087315662651,1.0152953880931026,1.019186723256076,0.9772550654295593,1.0629966178939434,1.0132425653293644,1.0337053844006105,1.2093168235002774,1.381239988811716,1.5283788419434265,1.344646254714727,1.278270758270917,1.1391838277884967,1.1206140770463842,1.090866636622491,1.0329612703586566,1.0304740226147378,1.023557818549786,1.0054011833966008,1.0137498749069764,1.142927735942246,1.1310388837465104,1.1973513024087694,1.342588275273713,1.3001188390703347,1.2642358943326386,1.2536407736509039,1.1687918380095275,1.3118900213576343,1.5400152761741728,1.6659462161917393,1.615457448330447,1.7014780221765957,1.594762767401584,1.5143303921955238,1.520712602484885,1.4789087294935628,1.41968929119151,1.203721761747773,1.0954163083868107,0.9994678673215279,1.0118288941302143,0.9098726491893218,0.9258431389668644,1.4135154793815616,1.427158690848711,1.0237328933491325,1.036172742152533,1.021286231867849,1.123122971870888,1.0874871431157023,1.1996853164820904,1.3468949580924932,1.4340268835248509,1.5402612234608533,1.7137873461103597,1.6623277880644238,1.8255662648153401,2.2861795219840326,1.9840684678148741,1.621978198716269,1.4763458669723073,1.4000069655356076,1.4086984180209596,1.3604059888090139,1.3134678847719667,1.298331580831251,1.2308892932866844,1.320780773038222,1.374867568744094,1.3841079220796195,1.6695929425688292,1.3069769427077584,1.4859473039010431,1.6206163492885404,1.579992792010703,1.6901796855910636,1.6783338857952856,2.1520750756162896,2.1988174223862855,2.2496608534047136,2.411374946969186,2.0372951202047616,2.043948770399917,1.8367423169504657,1.788173198040982,1.9325248139855276,1.4235530387169617,1.3299975295946593,1.3039202083743728,1.1682107330139564,1.3197506141693873,1.170461480679038,1.1049018814010036,1.2465016387213157,1.3214380926979463,1.2141114216897002,1.307792570109371,1.41996938674693,1.3624310659667538,1.4523701125027537,1.5889986358769135,1.6349502372908982,1.6289525490188066,1.958342503124626,1.994931618103891,1.9562359213407232,1.8655021399569915,1.8178259454041796,1.6473965700123743,1.7106049173953284,1.9147449708274469,2.223433052495326,2.267312515980975,1.9833818235081953,1.8694408604873793,1.9123017625320133,1.7115529482312855,2.1215316455069573,2.1245386162955153,1.8102519250063134,1.8803103642823435,2.256224215870875,2.0740904308617196,1.8907086492583525,2.3742670449226924,2.559663224792967,2.060822124213718,1.9064558985220827,1.533848145420123,1.4051663279932234,1.6694247360545718,1.5242681335579786,1.5083462133126286,1.4750859137969567,1.4045110465954094,1.3601758502120513,1.4207318405774034,1.2688618685087927,1.2618135079181338,1.219484263578557,1.24381958468855,1.2421851956157155,1.2938196183385011,1.3923383314871405,1.4020982886811888,1.5653910858224132,1.5085324969799292,1.5231490976058462,1.5270267669512918,1.5441654996998015,1.4246220582861537,1.6450397403835733,1.6853635865284649,1.5157863769662612,1.5852872215202671,1.7848281108128903,1.7028469798742407,1.6033858612679834,1.9971394849056727,2.090365086775231,1.6945053878645884,1.8607166151416277,2.229826355464725,2.171905765357061,1.8751034905734796,1.6433718758257199,2.2535245682380833,1.949133505536953,2.043592505498897,1.8407442040847104,1.5790216580028806,1.6745935792999296,1.8602522622933662,1.6024107323013066,1.579305789955074,1.325870487815952,1.2866829264945396,1.1200052149343354,1.114354551112073,0.9983286654013838,1.0610682256229753,1.1003717908515898,1.129590729773519,1.1091562680313378,1.0752833106526796,1.1652387370093702,1.0716274973486046,0.9361826166198222,1.1289510983758761,1.1566587588608244,1.1917311075217685,2.428670212752314,2.3263345998035803,3.067345766691587],[1.688230444098684,1.4232082971442024,1.1409117627734418,0.9969361413442471,1.1010689310561412,1.1695703322141695,1.1510853448302825,1.157993636583714,1.2090948998372626,1.2539300538904237,1.2714696194160708,1.2157035246420855,1.315172017045091,1.3377590923564529,1.4496463248131881,1.414637596764582,1.467343902871233,1.641347200823638,1.8546027993504455,1.8075646976432718,1.9472737652927912,2.00894124617298,2.054314691253718,2.1661587118655405,1.9685247892981748,1.896873215734025,1.8071742134973139,1.6597138536663936,1.5976380939668609,1.4491302549853389,1.577662265178301,1.4215006620673964,1.4782108046832885,1.6008577381751428,1.5855582771732044,1.6517519204823146,1.4929173194083851,1.7167066835964446,1.725912373462602,1.8083884392914598,1.8596438489799278,1.8930344271603174,1.8616507132931064,1.9281820195575545,2.0809498366211465,2.4404394146623156,2.6782246217067254,2.2131244952678766,2.996936553683415,3.6021223378385123,2.818633166727942,2.680485208012952,1.9570171235485287,2.0550812451395277,2.0795751678834735,1.9687766817808896,2.557139042879707,3.161655884373202,2.631070694337956,2.8863465810322286,2.4188485774184167,2.1185414779622453,1.9628107238789039,2.176706083742655,2.1408768472552726,1.916436061191901,2.0210849374019526,1.8440814147489886,1.9273408926238182,1.8182417993192708,1.8848979390890228,2.0977737778022787,1.8855936473516526,2.0820176329554494,1.8451529907999027,2.2873568261017736,1.8983880361397343,1.8377224568691106,1.8142121778715292,1.8993204059607922,1.7463056843732225,1.840539215239757,1.6482259025582064,1.615946595418835,1.6514471099797763,1.5811461689708706,1.7571177922595649,1.59862637743474,1.7623406278519498,1.714028857492593,1.7708429230383416,1.890490211537946,1.728679970724657,1.5780332772551036,1.5039973439740781,1.5255105225310859,1.4703309558990239,1.3764601432434127,1.2845884276871071,1.2419491851432138,1.313773208534558,1.2961424060613425,1.3457184941289404,1.2061244902545905,1.4634277170684824,1.2281978440368764,1.1937323720936905,1.2868460032717586,1.0980862067608348,1.1367002544311364,1.1009618724452548,1.2106829603866924,1.1748262451746356,1.2427636066598244,1.3304615002931117,1.3831151009953093,1.510672727179402,1.6485354784281654,1.8646477925613192,1.6272991475028276,1.5963770720541786,1.4400513403541975,1.4147360964794788,1.3138943496368642,1.189648911342178,1.2084308529552434,1.218180461698517,1.1794086649229556,1.1497315317036876,1.1785391983935656,1.213146563231992,1.2651476332805143,1.3412192150717377,1.3068397165026517,1.3060035690076044,1.2716607198489864,1.1944695244379349,1.3182979159943413,1.5284052476996037,1.7420553852789435,1.7886400412984929,1.8540289208785499,1.759132578091063,1.6660546447014564,1.6838144201999674,1.6027491174682822,1.5300326057510472,1.3757219541238823,1.2979864519211703,1.2241665176000849,1.1771567990391787,1.1814215351848172,1.2761774165570325,1.5217520650373912,1.4769851032226562,1.2169507941090265,1.235978564419914,1.2112276218975828,1.2991065691286385,1.2577581772408397,1.3564919111896734,1.4716220187307465,1.5513431885985687,1.6174973393998375,1.6925063860233929,1.8330122327462033,1.8175119401548396,2.2301848708637824,1.9377896139705926,1.6460726607003673,1.5016091377966385,1.473860994774324,1.49315624419153,1.4467388083633794,1.436194775560792,1.3938500428672973,1.416740805627773,1.4185743951550134,1.5446539068285765,1.440538596965011,1.6390684865044893,1.368185234105417,1.492439388097436,1.5933173057304464,1.5813505595820279,1.7423979023005844,1.838543394281965,2.297052065815781,2.3688157328159947,2.3151719609822763,2.4646899891801057,2.020312930613863,1.9608261362011328,1.68862637058539,1.6452427646484014,1.9116978175237775,1.6078882661692415,1.5096207830821367,1.4889457188245834,1.340884533377609,1.4770837179877874,1.2716733705568237,1.1490562202084218,1.3004531676559592,1.355760288770423,1.1323681508435601,1.184944489793888,1.3665705204612915,1.2813898053093522,1.2573144769856088,1.406764155318939,1.4813641185003965,1.4143410734253339,1.7077334293436937,1.8224986866831896,1.8209946980766598,1.7481967100294526,1.7689445623347588,1.6296615588059884,1.6935280781455526,1.9583536288349817,2.1849442246221216,2.264749897063483,1.951638596798008,1.9160870848309202,1.9584159660011948,1.7870390059510073,2.1546305036867714,2.1729564716267333,1.9165005624004727,1.9857022208832793,2.3290837127467703,2.189098582518297,2.042573523761374,2.5064318660730316,2.7261758996214884,2.2390274891506294,2.136260924748524,1.7358197716769614,1.582929073621025,1.813129321668705,1.6136908241458612,1.6278774066391566,1.516405343901339,1.5064782587033754,1.465586786768301,1.4449079862410674,1.3033168581516947,1.2721871522961818,1.22053272443816,1.1927115568221014,1.1241627502069955,1.1642045480208845,1.3214715138067985,1.2458195002255805,1.3521405854910864,1.3634945674397427,1.4431978145615365,1.4832632871982763,1.5418366668322847,1.4474217634711959,1.687743757429579,1.7055527097686274,1.522902198903863,1.6607866031388534,1.8545271179316072,1.7503912295561126,1.6981619980146023,2.121704072020343,2.1945923790982813,1.8032517058857647,2.0512250723445833,2.3881203501427617,2.2808146434036436,2.006343875202361,1.6721750660865637,2.346681328950639,1.9420691497752822,1.9647380048758067,1.6603873878409738,1.4228778624778737,1.371541242078067,1.5416476970746196,1.316819956858239,1.4690763646298628,1.2744288483374338,1.3482694363239536,1.100552170138622,1.2077976349226391,1.151526982090332,1.1656785246320216,1.2532144433813306,1.3170174138402329,1.291317390499814,1.1480402254379307,1.4182927811529507,1.3565571504779044,1.2002509501101035,1.0335309371997459,1.0162455359049882,1.2535738947747066,2.345829274329271,2.1156290746878677,2.7411462702914973],[1.5592987183222038,1.2544923373089538,0.9961541932012996,0.7419207736372002,0.8138028085739301,0.8496841452772572,0.8017516981962433,0.799202223606155,0.8288527197223196,0.9155417794117735,0.9504489279595432,0.9140590780996054,1.0143948795063558,1.0869677036936731,1.2351489023018478,1.173926148018367,1.2545987589145118,1.4435608458592832,1.6778847393416878,1.6367865631975365,1.7962093594825121,1.8496204656009114,1.9045950179991542,2.047687188825489,1.8055553680090506,1.7365740573289183,1.5927815611208114,1.4716995869521803,1.391624983005041,1.209880577166122,1.358248819917586,1.181498272577604,1.1992136119324395,1.3607949619178006,1.355862709019433,1.4338604157361214,1.2437710425986506,1.5117868827358942,1.5215376114887968,1.5883523280733935,1.6548627944911791,1.6914669906057673,1.61198195040246,1.6607657742792954,1.88002747379881,2.200394174674126,2.534755136392977,1.974886135283886,2.8258062565447997,3.3921612226111795,2.5198679035640446,2.4517358168821373,1.6881942966145815,1.8596742323472988,1.9900433862243074,1.7397721962403543,2.2815458904901664,3.0613064505016774,2.497628945515796,2.7390596352859014,2.300545949832905,1.9636103035020496,1.7950062462244263,2.0268132109378545,2.0014909598105937,1.771923303126954,1.890282386065478,1.6880493810452037,1.7851653403273917,1.6193749921839133,1.715713644259814,1.9744008126267,1.7170081749626855,1.9474006807587458,1.6690614722690196,2.0976410570072432,1.703486107903258,1.622311718777012,1.6124521142186152,1.661644805363451,1.505895567447465,1.6141881828347289,1.4299308092224106,1.3394506727958666,1.4250711320725982,1.3504920070956004,1.5332286178313435,1.3368757876406805,1.5385161798860922,1.4850502178761056,1.5589301826103827,1.7316015192530227,1.556417642089205,1.3485193704713172,1.27414618572746,1.2762064752023878,1.2311569908279278,1.1148576236206154,0.9791804383875073,0.9638741184197532,1.0191556967549007,0.9711034692016709,1.0209426692633619,0.8596972282454701,1.2660726733102616,0.8888444968914544,0.9211824590401656,1.064233020739478,0.8057821413918904,0.8016359996098803,0.772513115034848,0.8738002884771722,0.8611192503422038,0.9754456740782607,1.042224930270781,1.0895839240582461,1.2724320413847645,1.4963975541549708,1.7305500183440143,1.4420308108213538,1.397363947771057,1.2030641542625893,1.1805074414093721,1.077915855571912,0.9283730495157082,0.9256952801664317,0.8559646655344865,0.8450059678589921,0.8266554686764854,0.9020482930296791,0.8822853941168,0.9314886366364397,1.041903954588533,0.9918389287444606,1.0083281904465724,1.0634054304350204,0.948504140194156,1.1482282078646304,1.4112963284969635,1.652591727275827,1.6746475204501134,1.7409099210761474,1.6137782968105245,1.5047861151840225,1.5091317731385534,1.443196959099356,1.3540619576385213,1.140328539210245,0.9912725605370079,0.8964310226866256,0.8498583169024361,0.8267886085749573,0.9415273686365958,1.3601314831845517,1.2867197322979587,0.8721397435123948,0.903248088857258,0.8763355340497531,0.9994676706561825,0.9285523569400854,1.0767157578200068,1.2618036005215594,1.3743431706939158,1.4610900002567193,1.5455762016522725,1.6751262092810277,1.6799895383597148,2.1754492386909607,1.8906418047922622,1.5785692493107542,1.341350078902473,1.315599548752206,1.2967173086561747,1.216125042499369,1.1765181945255132,1.128118720748098,1.1252787630993322,1.1449472892192016,1.254413517565808,1.185459948086868,1.446535517653807,1.111499200817013,1.2519981718278228,1.3643056310906037,1.3729088736172408,1.5563819967100794,1.6106956864008528,2.0747409568941007,2.246719159640862,2.159739461466983,2.2828562452127743,1.9239718708273723,1.8629458294390686,1.5899676416336406,1.4805622321058178,1.7315867338190285,1.2293068985784559,1.1695412727161076,1.2130828165328862,1.033978245012087,1.2204366024294173,1.011681506941456,0.9055432944290229,1.126256416618378,1.2013047311170804,1.0254034060253077,1.1062200239735862,1.2868375722649277,1.2177692114120457,1.255472045823422,1.405540448164518,1.495202798224974,1.462710652741958,1.7706749929152146,1.8618289496924425,1.835177994192355,1.7696251673041112,1.7407129279219056,1.5845273480985858,1.6550363261150203,1.9068329723153756,2.146755923176865,2.1899219739992195,1.8489711735917096,1.7678738189463614,1.7736395742115156,1.5591705642866562,1.934816429809012,2.0042766155069462,1.7343680371037147,1.7407927122388056,2.1306409616539512,2.024506395933751,1.8190696382989782,2.2628906204444004,2.5913029116415274,2.095474636072081,1.890231058617315,1.5011292867555517,1.245611020820804,1.5091524698839596,1.36319354932837,1.34077022864718,1.2484695496289262,1.2138086079237544,1.1871694535550492,1.2284604822747536,1.0712931574241182,1.077714200116689,1.0550365530424308,1.0721258948154688,1.056609858547688,1.1176860093855143,1.2647586456983648,1.2384214774251285,1.3725935650795251,1.3690845004947043,1.4336077882353753,1.4392960591807553,1.4502150054466127,1.3068169166746122,1.530482593701783,1.6105906688842409,1.417932464221852,1.4995146953276108,1.7488597612343983,1.657193364796108,1.558042949337736,1.9933894161800572,2.1516344631498576,1.737139688806617,1.9240519601654527,2.313831489442222,2.275920217711831,1.9789413360846944,1.6270331941883558,2.3148216718424464,1.9086491462367237,1.9321539040979854,1.630581158114896,1.3871396837105487,1.3935721784260853,1.535542359118446,1.2769011905696717,1.3956995384447974,1.1655695332385236,1.2099350362204242,0.8998496711897028,0.9385313409411085,0.8504108161920629,0.9260775156080105,0.9663003929148606,1.0557239492126762,0.9891934334833692,0.8678988711385144,1.1683352417018282,1.097196167454515,0.8630840546862754,0.8854060056479727,0.9065185432864964,1.0155772391216566,2.2050837487048414,1.9612004039018578,2.6742130376077955],[1.5126386618909953,1.223878830421907,0.968849844618087,0.6921709710753615,0.7104447099638838,0.7453917119975068,0.7771949479424934,0.7635428513622532,0.8536105619460193,1.0188443006455956,1.0921076904765628,1.02143887528089,1.1440852928318117,1.2765230732350907,1.4321020922585705,1.3616416536717346,1.4619599365158265,1.6843434095615688,1.944596738762598,1.8669152397814412,2.0572664928162365,2.079572915401158,2.155691158706325,2.303725224184677,2.000071842679215,1.9672986431833799,1.7867881214515993,1.679990438328027,1.5919288432363852,1.3788368041897676,1.578281507550928,1.3497318507384584,1.3683926290091715,1.5675426744701504,1.5412561708628723,1.6338295913674983,1.3845355116149405,1.6798295310397622,1.6701027619236808,1.7000113971675725,1.7976767368937083,1.880822792308864,1.7805153710071018,1.7890724424365185,2.022207854943775,2.2406807816274434,2.613398083264542,2.1102747670453743,2.7943822298175807,3.2944059089295776,2.446816643232132,2.443711359364816,1.736314981080783,1.9862529410226373,2.1259855850112714,1.8444294054200163,2.4200876548873778,3.284721392302934,2.6864882028304824,2.9284463261564877,2.5362239049914828,2.201997726146332,2.0341677598360173,2.311358032440557,2.2699558533127853,2.0156289781238494,2.1847832390813227,1.968887147211849,2.0811535525363283,1.916673400765813,2.027921088334767,2.298099810235512,2.0581768587846248,2.2440869120718636,1.9664978273297862,2.397343712296987,1.9609443112580778,1.8635499078032056,1.8247780756898595,1.8484489868955105,1.6440415146888951,1.726634435915683,1.4971501067155157,1.3552394822971103,1.4867220847973357,1.454827257625112,1.683136704332278,1.47441784216974,1.734404860230352,1.6804015630658695,1.7846376561738881,1.9918746625589492,1.7921007739347368,1.5699333906345103,1.4854115214067145,1.4908463314217275,1.4465249948469012,1.288887388231861,1.1102584044291781,1.053032846381184,1.108053011687307,0.9650125062189141,1.0605469033815287,0.8138845579012954,1.2590214460452167,0.8171437089537883,0.8702173659706152,1.0417349707287213,0.7453139728893332,0.6754508072137633,0.6879653420406003,0.8259545947991362,0.860012897671922,1.0149345126839264,1.154888143878282,1.2055535363171386,1.4561427787549068,1.7153742422594422,2.0010714828062826,1.6969645853473267,1.6623818848735248,1.4287301984899952,1.3803211484845714,1.2272506847287168,1.0258959194414796,0.9469254052743602,0.7750168112167235,0.7816589431049213,0.7233290767599198,0.8357948789302603,0.783667629414167,0.8407762080064883,0.9833880662157477,0.9395390354980634,0.9842329668461761,1.0872844364915901,0.9285035800332002,1.1748528656966275,1.5030881433894643,1.803037259565124,1.8394049385226638,1.875941147355544,1.808942949436397,1.669689592907133,1.6647285246232346,1.603027780781177,1.4919096934090343,1.2391425866326113,1.0287042243833362,0.9141753540171548,0.8142141207241296,0.7854238781817555,0.8532879800148702,1.4043694309558756,1.3786648571603382,0.8782026227738187,0.9488104500665654,0.8598640776256835,1.0604636388279278,0.9222136050431547,1.1197571286617658,1.3629336066451214,1.4853159299933365,1.5581938551312722,1.6306535486041016,1.7109963949532725,1.74925540539852,2.2479451033237994,1.9518006265122878,1.6682280608077344,1.3888183805809415,1.3843301440114986,1.3485415075789673,1.2594901494840012,1.227343661020662,1.1659189733998734,1.1867003715534965,1.1872693138310628,1.3101784424536833,1.2010313309554637,1.4932792561431814,1.1096028334214214,1.2347920261436114,1.355256009125962,1.392383854002259,1.6092394178422968,1.691802358765163,2.099215480902123,2.2941760051197337,2.177266088731432,2.2819434248092176,1.9707849553256955,1.8561034216761045,1.5686802529218726,1.4099673966634694,1.6626102857422307,1.1406102586129714,1.0880170487253633,1.147048039148326,0.945872315272557,1.1596411997232925,0.9332895592366195,0.8273974245663726,1.08859932542162,1.1853200966526285,1.0161575753759065,1.101280461465099,1.3167866450994594,1.2529954802866488,1.3030354248274565,1.4576282957605498,1.5778027711012355,1.5543251797175075,1.8470985782371585,1.9680374256841633,1.9112878128435,1.8857107098829042,1.8340683745429516,1.659251726605331,1.7525407849209276,2.0010157253543843,2.2870324517093827,2.286028052030648,1.917775273239362,1.8020444168361665,1.791915759164512,1.5320165529219454,1.9279802714033223,2.045854425394762,1.7320465762387338,1.7186506655449223,2.1485490556059164,2.0489793800485487,1.8101080985453828,2.2309433661231433,2.639551063737257,2.1195772317519106,1.8625478091129348,1.4633246717840271,1.153703628464691,1.433763624796896,1.3055037134110323,1.2583073119831534,1.171010896021361,1.12647667327326,1.1008572560154735,1.178714345545391,0.9945981785331904,1.0024887589122347,1.0337398596732856,1.0869031541659384,1.1010664399106438,1.1654458659701346,1.3153007020618663,1.3321037264497568,1.4898099188280622,1.4645589879403134,1.535799436928441,1.520472820643775,1.50263846919326,1.314526105626664,1.5466258392942946,1.6756450023120626,1.4546464278439188,1.5129724790425925,1.8067755288378748,1.713047363733226,1.5784443060679447,2.0486752524743777,2.249837156653279,1.8025472142996921,1.9634198836625252,2.3960429717278084,2.3914039228626973,2.0678622637435904,1.6890171096851625,2.3868905358943437,1.9615261376180757,2.0020818984262916,1.652577173308407,1.4097064165335211,1.4135431176333828,1.5121182110782037,1.2527914209023157,1.3911144846766152,1.1719411686522228,1.2127715732387143,0.8415316587092712,0.8566371170728974,0.7301554066953114,0.8524232515167163,0.8702597792228943,0.9802121523853079,0.9064172503965368,0.79414994004751,1.0667398741788072,0.9958133297592734,0.7477082395595968,0.8212314291269509,0.8800667270254893,0.923761365503218,2.0512550545007406,1.7797264959110377,2.599362024707229],[1.4418573611026564,1.1948349030324463,0.9153930372066287,0.6310016888271285,0.6649539325768205,0.6905329044460043,0.7579528206770282,0.7454983757551003,0.8386257641589149,1.0085659394152755,1.0834321573313248,1.001921173589697,1.1391417824204886,1.2806884195832002,1.4357068656150767,1.3670376991701034,1.4690840390836475,1.6858773368757973,1.936318316274944,1.8588804205998473,2.044037405079693,2.0546042826013466,2.1132636445940185,2.2725747689978615,1.9602747966725442,1.9437250707728386,1.7836562057313061,1.6915605282242638,1.603147823321986,1.3911674426272438,1.5754703152533092,1.3538738325624595,1.3677192003737597,1.5634111228423946,1.5391673965440062,1.6304475244435641,1.3934829542196034,1.6830023092603719,1.6753971526424323,1.6826478553837743,1.7838141351095345,1.867450947608795,1.772195704850538,1.7655186085913315,2.011547740438184,2.2083869939124803,2.5860448498177147,2.070471927387545,2.767053506971002,3.2010496476100165,2.321622415532017,2.420467476396056,1.6831685548733213,1.9618728030690251,2.1719396989882243,1.7671863870417706,2.256015671482688,3.2848869503606677,2.633554704888028,2.8670361840555927,2.5066388672201487,2.171474180146971,2.0118986450888365,2.2783386256717075,2.2392560774019774,2.006579577115088,2.183799385928409,1.9616896523114216,2.0776432797597115,1.9208327810730887,2.037774118256078,2.2907050686813384,2.0562404209832272,2.2296379191239875,1.9554015670728684,2.3893686529089897,1.946368345805059,1.8472911434020023,1.8141706039404042,1.8263532899452735,1.6321139513595049,1.7181485564630845,1.5296854801179054,1.3447035103644216,1.4894193315050257,1.4597680954735033,1.6808342177866529,1.4789232488407815,1.7241638791494296,1.6701542119237278,1.7682478216254163,1.9808978225803993,1.7758194063153492,1.5609959996403298,1.4796732255158889,1.487420412147961,1.4422358913678839,1.280059314938945,1.098571081122162,1.0297003654736676,1.0907864069335247,0.9476449678332779,1.0554585182748086,0.8168195549129331,1.2179639706547518,0.8305114097224073,0.8951338768824012,1.086099666182902,0.7956760475955318,0.7013219660907032,0.6911002346686587,0.8466284784439481,0.8604414924079461,1.0283502829410573,1.1832287678550388,1.2279921087405632,1.4758979134833805,1.738824123958642,2.0186661856446078,1.709368607297965,1.6875122354585597,1.4472426041082636,1.4016782466675721,1.2397857314051102,1.034966192077072,0.9581557735206246,0.7553900498397006,0.8109706281493437,0.7314798031671043,0.8420489603456651,0.780455590925755,0.8192189675447031,1.0035861651668472,0.9505444233986254,1.0212962125886949,1.1462455981198507,0.984297844292101,1.1977231414784486,1.506298270868396,1.838318382572472,1.8480672042186055,1.8815430300211269,1.8128356832426282,1.6829976429095075,1.6781557620269656,1.6175504202553812,1.5050431843024452,1.2427138846090728,1.0348062245508243,0.9099335226663707,0.8033856474828268,0.7718651358259657,0.8485094717801067,1.3749497885667108,1.3440369060399961,0.8517440852952569,0.9295498111295201,0.840328820152214,1.055666995548329,0.9279855075791765,1.1464565481238258,1.3797305430181352,1.5151831131054057,1.5741327899636477,1.6668576540673212,1.7297100990291796,1.799957097011967,2.3013707619543435,2.052593787133895,1.7833708082275892,1.4668278889780415,1.4412885199772465,1.3890743505698224,1.2870646269858785,1.2464112084855214,1.1834379274678009,1.2007595713428234,1.1961471929798568,1.3284386114743072,1.2229171580530456,1.537621269308554,1.1274913592101037,1.2566926475367393,1.3754210095346069,1.4101358496490206,1.5994879086011082,1.6608145692438738,2.044523243502402,2.2879319633382615,2.144555355247887,2.2590750858504705,2.0190459298013534,1.9148980044831843,1.6302223461269432,1.3867341856720872,1.6082016316014303,1.107443745817816,1.0480912645865534,1.1174572101262303,0.9196893921992301,1.0746272460921535,0.8706239803553747,0.794866604383442,1.0224910839655923,1.0884576202005087,0.9813367314480899,1.052977176344322,1.2311082305919816,1.1859292046157677,1.2648097204651478,1.3991887465629764,1.516279320894629,1.5383266524133965,1.8045221915978344,1.93412821033763,1.878151306659107,1.8091209255921437,1.732428150791487,1.5447167990057673,1.6234591953366766,1.8348893780109745,2.117177836788402,2.0649212934189984,1.729825205357287,1.6206430116822124,1.5946834323942054,1.3491507691665539,1.713880144972495,1.8342014842929153,1.5785924374734088,1.5416514602174127,1.9415290263957654,1.8772152148739176,1.6626489186235052,2.07434464034909,2.4891584173507697,2.0029392999438347,1.815890072177194,1.3808708218875365,1.0558285252003312,1.2993420310269819,1.1705599029739198,1.158052927131362,1.0481122142069057,1.0731747738456754,1.0314170295884626,1.0687356925050648,0.9355963957442074,0.9785369411232144,0.9737190082139172,1.0464757275293481,1.1066862039723488,1.1462018725109449,1.2520104152047922,1.3055820992973464,1.5003169627081834,1.416979392365081,1.4578680440203275,1.4201142972970566,1.3771406438371994,1.1974077489143085,1.3776160317048376,1.5173835271004001,1.3302036800694006,1.3648999913673814,1.6383797645130864,1.5690471879046506,1.4609408348761619,1.8724334556549243,2.0913395040923453,1.6969819638942725,1.8529749494233363,2.2233686927428695,2.263803590267213,1.979404306303541,1.634979530289146,2.3165800837680295,1.9271031366921236,1.9008113529385366,1.5656738963775947,1.3267918414086912,1.3420652054660083,1.399834771616556,1.1708059783103382,1.3690419002665832,1.1803708162489148,1.1885628721862629,0.8280879341674399,0.8454077454365125,0.732146959637214,0.8178468143732599,0.8243755882917982,0.9404723042675135,0.8925303830951098,0.7738095997527616,1.0179286756621964,0.9431688116676127,0.6939701042496564,0.7375871036255998,0.7970428687823226,0.8335494882661048,1.9274170056206215,1.631224119722168,2.5007596576877664],[1.6948737596072398,1.3857950187290577,1.2312344284809364,0.8147962530916294,0.8629793700713598,0.8221553606406208,0.7304072306426789,0.7223335625576202,0.7819926540371835,0.8678897220015911,0.951579475556793,0.8657611971628054,0.940520882991792,1.1207726706754304,1.2596225142572368,1.1666856156575243,1.2571253763048922,1.4863790795085932,1.7742807558053235,1.6495266736837966,1.8731847622684077,1.8777671967950271,1.975269129736179,2.1356973360801335,1.8040403672744572,1.7776350524472477,1.566659266080873,1.464835234402763,1.3686031326168793,1.1409666246876071,1.3784687262859199,1.1130088474778101,1.1373858466350424,1.3254658321018857,1.285964171096097,1.3854851728348268,1.1245608643511764,1.42437023814089,1.4089872651932924,1.4075483560359265,1.535190999943817,1.647530946833887,1.5674095858597688,1.5894863291295407,1.9037452104266155,2.1040130975721634,2.5446611283540514,1.9565177933329205,2.7066353759265525,3.1824932735470597,2.255202295987656,2.288654569520674,1.5299933675499084,1.7210254686750204,1.9471581293135367,1.5962517927228674,2.011681785833454,2.9848876966060995,2.3823895999416993,2.6616898062819003,2.289384629751885,1.9772726864870631,1.8119273907940705,2.123338080685672,2.073672502865153,1.8080572685716556,2.0213920188501175,1.7811315873866205,1.936306018369729,1.7847013430710768,1.937471035313869,2.241056803335309,1.9617761799685667,2.1149669827039035,1.7996241654934169,2.242425805058661,1.7522589066357541,1.6380044898467792,1.585915570312179,1.5929674266479266,1.3465147443898957,1.4328324178864598,1.2567186423053893,1.1140280098120166,1.2419572886303147,1.1709580512532054,1.4018667939437208,1.2043875428437016,1.4835045327933731,1.4270219707152814,1.5534494700780295,1.8114885504427485,1.609306388741379,1.3835954829391384,1.2990767006973398,1.3566783201775876,1.3080403918497128,1.0772443091857085,0.9113852174810465,0.8996683363836627,0.882253569569821,0.813608988498078,0.8252271429305084,0.6890059008113845,1.0107696923867049,0.7278925049046941,0.8565009424904969,1.0515373613826506,0.8975954364117704,0.7817915962067661,0.7987938684508884,0.7286812450015535,0.7115222750230585,0.8210422333853098,0.9677203470757194,1.0207508642084189,1.2607952066167172,1.5350572425757167,1.8576612446970397,1.530664510246843,1.5354421151623878,1.2910032246208285,1.2373464207273854,1.060562677730529,0.8663707538728762,0.7755023135110646,0.850802700513345,0.7229865589733833,0.7415373465451592,0.7504384474929654,0.8715874626972093,0.9667535031072052,0.909250015229601,0.8257713919531285,0.8371599248628495,0.9055702618882455,0.8489750648100927,0.9799902631874682,1.3001168927138558,1.5482435831040473,1.6164472781503199,1.7034795244629037,1.5942146771589312,1.435151010524827,1.4200737890534891,1.358655555080878,1.2474113713996684,0.9887656419628756,0.8067626632252588,0.7395935418107942,0.753309627621846,0.7494343059336769,0.9498288663695583,1.3958709007714882,1.2621444091329272,0.7549976143357994,0.7724150279430427,0.715385537059428,0.8205003285685744,0.7336424490779835,0.8713046904074032,1.1039248193031772,1.2335700675739933,1.283598436105673,1.376070348156175,1.4636405070836185,1.540675106251076,2.0816266681771256,1.838344888958768,1.5390193029943537,1.2310763257473099,1.166327810852586,1.1003954342635598,1.0000617052108707,0.9515283356708554,0.8902101166044122,0.9326124335706645,0.9370315016319424,1.0347400621035505,0.9242257050510159,1.274945323531623,0.8557673656916817,0.9896807531894992,1.1202204002577487,1.1308252463121906,1.3048033866812438,1.4026544460192767,1.7960761697726777,2.0686629846536184,1.9039509667599221,2.0064946931459064,1.705990663208774,1.6477026608796197,1.397863240647124,1.3931416445923261,1.748440707831819,1.2191907425514052,1.2918027645680263,1.4310996155730706,1.228777489106359,1.4891511615753623,1.2572680576814008,1.110029438376263,1.4272827120481988,1.537404277710105,1.287581033579825,1.3609902629583976,1.647613849898303,1.57273037642729,1.4932177403598477,1.6900917423743573,1.8577299565865368,1.7388226195004826,1.9755339577049331,2.185831737301357,2.1453137046146264,2.229673693425546,2.2091932641314442,2.0360553500959755,2.1495476092196846,2.4047357524329334,2.662301025877601,2.6582379621138137,2.3032213569923914,2.1912874134533067,2.161050396895321,1.8827931839677459,2.249445160316873,2.4017211744164277,2.0855855943768282,2.0309388461878575,2.436119191693046,2.3671972396246854,2.1216165804789284,2.4515533147488116,2.92483733478013,2.4206187113719846,2.1017031477653427,1.780507579914472,1.4023792669976671,1.7071536964338392,1.634105778178257,1.5747212619927877,1.50701798325815,1.4110152602978636,1.4139592498152986,1.5216488342851229,1.3214892257906927,1.2702858754932291,1.367026000942835,1.4099996464397606,1.3550551667814197,1.4273709477703465,1.6440683692010887,1.613688339607119,1.671504923050783,1.7609583591514486,1.8986019888511931,1.9023767628353556,1.8992261999182547,1.6952266340565192,1.9341993023438184,2.0924989062872528,1.8329022505017283,1.890570185318424,2.2058845537743874,2.1196297079784356,1.9587891339897727,2.39636815184634,2.6284264624478437,2.1942364516589845,2.3224838756559127,2.7411328926105405,2.773000321368616,2.459318781646211,2.0791396407959146,2.714074142867336,2.3140026848979325,2.355937455921837,1.910625044600868,1.6852148308340316,1.550929932702717,1.5981955626212008,1.4394059931247845,1.6964695905485059,1.5110933990850712,1.5713268481686173,1.1311698560250534,1.1495054178722315,0.8830727819416665,1.1450841057695857,1.1571377407336634,1.3272073645707791,1.117035243121808,0.9870737501465574,1.367803090848992,1.2884653368900454,0.8534885411721397,0.8567284875261687,0.8918004901663238,0.9179794596218572,1.7614114959350966,1.4879888023523984,2.4891718884143654],[1.6630332859081307,1.2598314374786563,1.1165680134788505,0.7081649365169728,0.7987754819146144,0.7223967344951049,0.6174230631089049,0.6036325021894673,0.6229071606527914,0.6982404025329465,0.7566429446429294,0.6955698899219528,0.7957465108627647,0.9371211267530464,1.0723454410592592,0.9918320987104864,1.1032395146450913,1.3023869794006295,1.5850788606273343,1.4932157732439095,1.6760506509245539,1.7143316659646457,1.809724034565486,1.9500795433346865,1.6690565066442076,1.6195411532619843,1.4430690823822576,1.3343948309274003,1.228608648045184,1.0116960322236987,1.1847589667082428,0.9649425750087701,0.9477895897032097,1.1585288768961337,1.1452234062829125,1.2464483461284857,1.0194215871252739,1.3281338360824708,1.3393460688369494,1.3981537225946585,1.4844713602256714,1.5354219319008842,1.4513745985779272,1.4774025451548025,1.8716698368905476,1.998901621663788,2.581251161200959,1.9469192005084783,2.62397538114452,3.1927673840359625,2.262380129283501,2.181515648496906,1.5726821644460995,1.7131092807815003,1.9213558320064048,1.5855807817972298,2.0032778059720022,2.862427371935411,2.3112485141733194,2.5374878501124223,2.124670572645964,1.800162988869399,1.623522060535107,1.9122109484924603,1.876210046645044,1.6353495421135162,1.797827196781535,1.5754573333268367,1.6989580965322917,1.5471110484552202,1.6929520775239448,1.9754196428078554,1.6962927197910411,1.8669096168951285,1.5782487811655093,1.9891554058939132,1.5619796822939471,1.4459550687071165,1.4269597386408903,1.4657835939068597,1.2676510197909931,1.4083955845825962,1.2118441301158291,1.1734645272382591,1.2514093905051076,1.120767504586169,1.3180965229063715,1.1136324317837725,1.3424881452633075,1.2643318156502845,1.3825950273492404,1.5903215299144688,1.3913652567372095,1.1607934604074397,1.0880593192491053,1.103560478595159,1.0794391233396725,0.9037929853531116,0.7518071265334683,0.7906042237045768,0.7702291109314665,0.7423137584600354,0.7895940764287167,0.685538364150674,1.1062538390497978,0.7891753827216467,0.9266513323412102,1.121497737789457,0.9403328457429215,0.8055923090700822,0.8051153622043525,0.7012429444407849,0.6411001938366561,0.7496483554087411,0.833865729190595,0.8899764572968092,1.1166782475346249,1.392136770305974,1.65241627207049,1.33829071962142,1.3254339751344726,1.0953166725815395,1.0653610929368482,0.9182694949782534,0.7383298685283628,0.710706729498495,0.8277246021507909,0.6999821275315433,0.7923434528636786,0.8557612993110114,0.9799055922074363,1.0746938154842305,1.0669966594659248,0.9784806431361093,0.9820164183401083,0.9925890647361886,0.9581509167694248,1.0420792998052313,1.3276446747918476,1.5273054089517866,1.5711932746852524,1.6477601758703708,1.5103538071905103,1.3728590437740638,1.356736925145108,1.2791364042868685,1.1833534977094147,0.9287023618269169,0.7569414626195544,0.6541369302800687,0.6850671783395994,0.6178411739898977,0.842487562090607,1.2941971914349393,1.1822819941514098,0.6468011548670763,0.6623249577498694,0.646965627291028,0.7578634249479083,0.7275250373454686,0.8763496972537735,1.0669252111039191,1.2170762830058122,1.2671691379048098,1.4244932969364803,1.4746529534516604,1.6237324389659962,2.1689422939650345,1.9150968022191839,1.5882944329852124,1.3155282971205573,1.225109696973483,1.1650881488354512,1.0563962178365949,0.9795957339151261,0.9114080334067387,0.8950761677588768,0.9282024033393319,1.0480793770087071,0.9957965933473955,1.348875000218808,0.9458297444194134,1.0995658156266432,1.2534870660406956,1.261004872345822,1.3983343715674232,1.450783684144229,1.8307512231821859,2.046996846736598,1.9044810460143657,2.0320555196949366,1.742807077495513,1.736137171888114,1.530622096105786,1.5556353499500097,1.8554218663294497,1.3207654844640042,1.359000602481712,1.4617095826601982,1.257216265677299,1.509392698357657,1.2863050701493526,1.134427492341832,1.413532159885278,1.534731799805759,1.2734192134767617,1.3204498963527982,1.6067077938631285,1.538036298858331,1.456094567421386,1.631070355241665,1.7778647199070967,1.6718081064964143,1.9281474272387777,2.0973603581116547,2.0644574624136456,2.1080399734845354,2.0958418786488764,1.9467263552196388,2.061915410314966,2.351453589490889,2.625762284851992,2.6203822251488966,2.303612433809687,2.198015409421911,2.2095010425803143,1.9376967244472223,2.314888510487448,2.441222987497444,2.1183662967208203,2.0985477097208287,2.50170280761031,2.407883943272093,2.1735405095456004,2.5239596916310068,2.966547478365935,2.4355167112082836,2.123560728339842,1.7958520562838673,1.4678926121862252,1.7880408911998156,1.69414434522325,1.6430481491480478,1.5695059608048874,1.4797852388885644,1.4760199230457207,1.5765067873729366,1.3569264917260484,1.2894395731283725,1.3769011284172072,1.399957556584415,1.3258076838429038,1.3915567930822337,1.6112039915240923,1.5632716356853962,1.6007518905878146,1.688845257024798,1.8306300291215334,1.844202551850043,1.8800076768094212,1.7054862360425056,1.9560035222803767,2.063912051972195,1.8118814253447006,1.906178774810885,2.190008108506094,2.0848873394986254,1.9446276892874503,2.4123611041476565,2.586935377855419,2.1336741039892155,2.2906277681550455,2.702077095560133,2.693063966076022,2.365921546777423,1.9636185340998213,2.6180391207415927,2.1559181286535773,2.221511011285771,1.818237641771801,1.616960324146344,1.5163100635638829,1.5846726221789253,1.397961817678124,1.5711264996692373,1.4092263213893081,1.5079268805383625,1.1011775374418689,1.15724956556999,0.8822955612655493,1.062373455139098,1.124511411557433,1.2661179875380273,1.0658634099687905,0.9561734274864976,1.2952115926224965,1.2206342150451996,0.7701379745838787,0.7630501914254708,0.8401661212613191,0.8524673325518902,1.8460988170984625,1.5980158294047004,2.5898693693941053],[1.6075012676741942,1.2739698531429897,1.0223630125894632,0.6658243986931576,0.7425758531616101,0.712990526843469,0.6032159411667575,0.5959748175077932,0.5943405195520459,0.591739690111978,0.639703293448827,0.611167735963914,0.6460734661790971,0.7425948232590048,0.869796203417384,0.78062226066837,0.8574646895105763,1.0020246058525961,1.2225983908078224,1.1270862377998867,1.2661941688200808,1.3019471607638542,1.3836474362288007,1.5115551152629365,1.2930712356773062,1.2296848868537142,1.1129652416349196,1.0399664751120357,0.964454465651567,0.7986723168886983,0.9278989050549489,0.7763878982428248,0.7634660047537688,0.9080954724821453,0.905899586206923,0.9698854647432297,0.814810195638391,1.0631141220810107,1.0590500595195744,1.1230689176666828,1.170749957101638,1.1952905876657132,1.1288756528964996,1.1801807395698483,1.641162789053158,1.8461133087372714,2.433869054017822,1.6562090662591369,2.560152523110255,3.1076188840505794,2.0614517943030553,2.0718904471482933,1.3427145951710213,1.4387069997556314,1.7305908273537118,1.2729968871744894,1.5182135374947239,2.531321694181988,1.929109386388635,2.145839521175194,1.7103513425601482,1.3919206984511328,1.24207270744824,1.466519107821816,1.4388607549478203,1.2558596702818001,1.3897429703569733,1.2001895541788536,1.3252803013436882,1.2302237268871912,1.3522022034937535,1.6107106602953751,1.330129654869713,1.489432768519729,1.2140152675489195,1.624658896171039,1.2003804131830538,1.1068891458915637,1.1069761269370557,1.1593695491627731,0.9991776656201786,1.1719639977611302,1.0427795386270733,0.9767285725398537,1.0484060114034555,0.8988243980707641,1.0371007551541092,0.8868558231784268,1.0401517773341948,0.9912185631634135,1.0727288475977172,1.2614785110442124,1.0966561978892369,0.905926243518722,0.8604605720771918,0.8959023004480645,0.8774100823059476,0.7430518243220388,0.6419993821633517,0.7461091372937987,0.6717943404759283,0.7156843321215733,0.6742497702802598,0.6107074654615658,0.9928059290281659,0.6952242700442449,0.8273017398939391,1.0313933141060798,0.8200835562290081,0.6746471161021012,0.7133530026975553,0.637575526987245,0.5827261573352392,0.6393997064644257,0.6596940793305245,0.7008546887007536,0.8642117774843384,1.0822056204209909,1.3076305247206745,1.0223618566597623,1.0288205663634669,0.8492614740430531,0.8306862576464555,0.7336156733875291,0.6247833781932165,0.6121856491852183,0.7942718239059715,0.6178887123330221,0.6701938813586865,0.7113676924067227,0.8187025657791814,0.8929131536850339,0.885226218409057,0.8004472653263855,0.8017741761211701,0.8277603212798673,0.8042322589466274,0.8811584655234977,1.1417092948259844,1.291039517956825,1.2614252062983686,1.356836516915839,1.1874394753211288,1.1011501736464575,1.0836255046410175,1.040399159551554,0.9652186284307923,0.758897870608342,0.6472040891104268,0.5758689496315808,0.6521193911476596,0.6018097351510231,0.8076229390771742,1.3069371533837588,1.190256912383804,0.6384694609138661,0.6102882256321522,0.594468007657279,0.6492473057561607,0.6439853428428214,0.7293087476240543,0.8700484552004487,0.986042309323767,1.0226267592617209,1.1670723181621665,1.2291821118262718,1.400165353530976,1.9434437463734755,1.7725236488001712,1.4300105520712545,1.1458523590301177,1.01922227589849,0.9599752689437606,0.8714070970604368,0.800218395231055,0.7591260781411656,0.7500410525996526,0.7878267444560382,0.8602980660531406,0.8152024655311371,1.1849992419689557,0.7880776013091879,0.9259669148946778,1.0518186829167842,1.0365500058979529,1.1360075514130425,1.2027915187385694,1.5633654414728024,1.833717005573111,1.6885795451606247,1.8218614613227369,1.556674645435437,1.587565474196638,1.3735674630821817,1.381322281318097,1.7065452791233642,1.160912644412142,1.1645883526155842,1.2504248122012918,1.0630958302138362,1.2315120711900116,1.0316064378207497,0.9262294344872636,1.1609158498782228,1.2387984202675517,1.0782089379504816,1.146496586866639,1.3515361991722101,1.3026635441162393,1.342443601223814,1.4870331004747288,1.5970990277839021,1.5875607412061095,1.8690806241938493,1.9828238774622928,1.925881298165237,1.862663753837501,1.7665688843040999,1.612416714482693,1.685263301291448,1.8689882640793716,2.12331359324284,2.0816714642705128,1.797575752463318,1.714520160907368,1.7075344223385573,1.5080966450151925,1.838979655556148,1.9333994692382823,1.7001209535079673,1.6859354445531054,2.0293126707901767,1.9573979898706537,1.7948356598834756,2.1676528708350538,2.5515024575222918,2.0844028164557105,1.9138938836211317,1.517616153932278,1.215209019272945,1.4664653642941168,1.3434186824468268,1.3202303475414456,1.2209205794350324,1.2123200536803436,1.1902223026009717,1.2412700437384698,1.084797548049347,1.083224398378324,1.116546047022771,1.1626575034168265,1.1703808255011634,1.227137318523151,1.3676767323968364,1.3763316807746222,1.517916602830841,1.495225713260491,1.5481155948438687,1.5240377384447203,1.4979765260458824,1.3441027441879563,1.5158020844127413,1.6214000514743605,1.4571806356296813,1.4948129117058035,1.7181200650636854,1.6477435037529502,1.5626501551364849,1.9375589038697376,2.0928650050735715,1.7467464648453856,1.9181372976684155,2.224193727837804,2.2251872133907713,1.9756829956942799,1.660948689978168,2.2721603938224897,1.8973404962044123,1.8969607433735807,1.6393648777846244,1.421660155651832,1.4389784416107063,1.5266718800638839,1.2676390862798375,1.4146043917379967,1.232602243224331,1.2785183672479168,0.9317747694239524,0.9762674230051637,0.765638192909115,0.948204623996869,0.9929634920479654,1.113922219525539,0.9889903754931608,0.8700847007345557,1.1832984951313692,1.1235238518783868,0.7497067576510036,0.7899407639062646,0.8571347751342945,0.8493496707427716,1.9137030377359383,1.6648508811104377,2.5667632042597663],[1.6155600870172278,1.3244281810413028,1.2003579148360735,0.8978915203603407,1.0057491848710731,0.9068823805848831,0.7807098095963916,0.791398900487454,0.7768905103497618,0.7564225154611717,0.7790903307325439,0.7526741782837828,0.799371350098394,0.8858925202136937,1.0267748183891188,0.9360259278156199,0.9724876506870089,1.1190366927513886,1.342572841655266,1.220005319044172,1.3785745437846926,1.385406082652359,1.4980652863996191,1.6471678150248616,1.3850559084760357,1.3456284376121095,1.2063470133616088,1.1448693714841747,1.0694643842942146,0.9347395126787501,1.0599109322702496,0.9044851160924956,0.902622040196827,1.0204721239564296,1.0125533073530508,1.0669241678726313,0.9341182134300294,1.161115318568705,1.1325438086999864,1.1733927711701329,1.2159616915160552,1.2725316482076816,1.242055439384748,1.2636388851920832,1.700528994256752,1.8975865699988297,2.4412830586008796,1.6964512226188317,2.572597021093436,3.0439300176594433,2.024306165313156,2.1149963973124657,1.3829118741476454,1.4695949846889131,1.766635625905339,1.3158964697498703,1.4423206861781344,2.49022845866502,1.8831645480017087,2.140635392714455,1.723479145920283,1.4350196207580903,1.3278368214705805,1.5654164777949695,1.5007568022359412,1.338223972223731,1.5093664954450106,1.3124806478119497,1.4551639192567885,1.3632437671333417,1.4812595409055802,1.7594275568057285,1.485396548824935,1.621603278150721,1.3439835584369786,1.7540136488111335,1.2923740894448918,1.2036562439890426,1.203857383020462,1.2357455884764652,1.0661407114143235,1.2462101589997243,1.204166777396951,1.1177233602761498,1.1660476824935986,1.0068636958982011,1.115693986072662,0.9753865396772984,1.1342461036595557,1.089411217806888,1.161252162479876,1.3759019284383616,1.2219568311221805,1.0579385393318144,1.0123409411935245,1.0612309533118576,1.0437310539540954,0.8879318349797164,0.7961817549813436,0.8332301572602845,0.8036397326255931,0.8565915269492987,0.8500104273260192,0.8622839882209977,0.9880895128688788,0.8639632827840575,1.0246347953694075,1.1933819602457316,1.067760444262387,0.9436914449289235,0.9324104621189783,0.8339503254600726,0.7727616588550759,0.8229556504313221,0.8246591289413642,0.9051724068383199,1.0272416970458127,1.2001291803147989,1.4489398049821482,1.1726284190623757,1.191765224439668,1.0204243794905374,1.0018485159723332,0.8766516374357572,0.7640240241888623,0.8083249564867249,1.0317376812367722,0.8405775452544458,0.8774959120922072,0.8797700239731616,1.0658911219496507,1.1536288553696628,1.032906080599211,0.9419206056560184,0.9240410780367223,0.9082401676980173,0.914612020873358,0.9556883529960877,1.1355566823071968,1.2568071270815844,1.3167594748088423,1.4843018038910682,1.277737685913574,1.179907009611761,1.1525542058005724,1.1050569905087084,1.027188968054639,0.8583680090286301,0.8101617924942792,0.7870586310561727,0.8361957264246572,0.8396413953659425,1.12299649630339,1.4467736240780182,1.2795531145939179,0.8179510639436671,0.7674891557340093,0.7764850180501517,0.8070323536789149,0.8340613165712837,0.8373500433512098,0.9575761984732218,1.0488685422654795,1.0667862579965772,1.185075403802523,1.2402831635470388,1.38163790531146,1.8996176606654267,1.7367971825358794,1.443215814638183,1.1929425979696535,1.0476418453175733,0.9944387438867645,0.9305890738318581,0.8956712578155953,0.8559730789765623,0.8994714838629805,0.9278913304439595,0.9396059235030578,0.882108735147618,1.20652268670851,0.8531076145180649,0.9797205954186544,1.0952988568761353,1.063285311073893,1.1739886592825548,1.2666245778896765,1.54327036558163,1.825852621784286,1.719939369997105,1.8077542383500627,1.5808796812867614,1.5976413351656427,1.4157951939842108,1.4901097222276407,1.8594421278807776,1.3639787568141821,1.4373379455067072,1.5346866761600322,1.3432547307816032,1.5000350426545284,1.2792060775217755,1.158627921715484,1.4190778173813614,1.4801710403065051,1.2423449606791064,1.3095917925165044,1.555087482735005,1.4814513100979714,1.4128286603900921,1.5877534453851625,1.7393231994354772,1.6492096299525072,1.894340045281055,2.086393228071631,2.0376537280887894,2.06425023153168,1.9981036424096816,1.86136411038017,1.9382382648485492,2.1607346714756086,2.393389310202942,2.348701160622576,2.0539026423763946,1.974475673176874,1.9662045417527902,1.7722246804924338,2.092564977859101,2.203743736964144,1.9712168548367377,1.9503283623445051,2.2850518888100497,2.229605866631563,2.0691213687055736,2.4114143147529004,2.823483586294855,2.355068618182352,2.193687528214083,1.8041537058760682,1.4830318923046402,1.72743862192271,1.6022763251256857,1.5804574625807049,1.4766983688340174,1.4407887483898005,1.4322543731280144,1.4747147328687202,1.3043130185283955,1.298171692034466,1.3236893763211466,1.3502195408544364,1.2904150911057028,1.3594529191192015,1.5550341154290968,1.532520434337184,1.593477282898174,1.65358742135701,1.765866581183111,1.7544760399920565,1.7479070322033563,1.5914131377886152,1.7825639726880023,1.8936095898920586,1.7017886017857433,1.7616592816594925,2.0034233866824027,1.9302346985309577,1.8454997417246555,2.2124387187738637,2.388952607496371,2.0396297845541995,2.215816565162685,2.5028389414534176,2.512339264561192,2.273939736785627,1.9444951701530726,2.5063058280022523,2.1408761848485223,2.1422504085469165,1.7748381956972918,1.5787830557257176,1.455553329705325,1.5024602861723964,1.3684784340799816,1.6440826180861126,1.5424256438643313,1.5718236590904693,1.2047455548182409,1.2726696787551723,1.0142146797147464,1.224429199333864,1.241704549763887,1.3783696541937547,1.2162537778083626,1.0574504559718185,1.4133317687214484,1.3623635282154052,0.9518321707785684,0.800807607287612,0.8057239274542581,0.8754011615504598,1.6372469751490757,1.3472147325699035,2.4551015663864577],[1.789420532577247,1.4478393034767016,1.4074643194768683,1.0106137241751674,1.1276600222151754,1.0054557551637315,0.7935142678285441,0.8461145584570023,0.726928409366731,0.5859799946444978,0.5981072679455511,0.6775440906598079,0.5845909732426346,0.6341625560586431,0.7539530067228192,0.6555483189427286,0.6919806019605554,0.8328067579145597,1.0865881008774612,0.9814945310169916,1.1638430914258049,1.2023515820786594,1.3269837982286976,1.463240667937526,1.2407458598036922,1.1419862706734305,0.9834031648722399,0.8799583968147913,0.8020807589244817,0.6483816107085267,0.7611838110885086,0.6353595503937718,0.646774379927588,0.7194220973082807,0.7248133397779692,0.7930124113155711,0.6855102054897343,0.9101437964987413,0.9117462108422636,1.0019822104948595,1.0502662254068664,1.062568509532202,1.0253958364862883,1.1426321910063024,1.5882976096327714,1.8581216040556676,2.4308752923531274,1.6137665270095978,2.6486280023129845,3.2400064156198174,2.1562119388352894,2.1094439246559817,1.3253998610272615,1.3091263377906501,1.6272714419532346,1.240146267705379,1.3334644085260905,2.252358552492271,1.717448239052142,1.9800865478138208,1.5515376341595657,1.2582184684559548,1.0986833862996077,1.3570967598918333,1.3247356727669715,1.1264896064788255,1.2858609495158217,1.058865157545176,1.2299414488777596,1.1153128189997146,1.2762954915327624,1.5888808233115825,1.2552710278497579,1.4116367777094578,1.0808030462208167,1.5119199329741266,1.0476799776180286,0.9414584401181909,0.9373382825013942,1.0118181605304253,0.852139695072595,1.018442586317295,1.0369491002175866,0.987623918999123,0.9909698446741949,0.7915163550151072,0.8847680841704365,0.776991027125597,0.8766806934561138,0.8138752868418684,0.8890461017098171,1.0984387335618142,0.9395284311865187,0.7522571025393674,0.7250487866710391,0.8046746639605313,0.8008943176929103,0.660934348068246,0.6449097910094845,0.8243049518640343,0.6669415570471169,0.9031889775881407,0.7586136841963208,0.9371984937113323,1.0651217990788562,1.0249267616695719,1.172523948156424,1.281025511190529,1.240405284147334,1.1547179507972691,1.123647991926436,0.8603837385878415,0.7268245991556427,0.6682940330376343,0.5881562767041093,0.6526986897689641,0.7543931594403058,0.9578737004712384,1.2153153372946335,0.8903365305095771,0.9165256836376461,0.7276390926415809,0.7178968214239028,0.6028922356084536,0.5692244457596465,0.66260638000447,1.1036311916974213,0.8410540473468501,1.0335537830839345,1.0140981569450143,1.2044022286116813,1.3389441685829995,1.1702079982414535,1.0838217513819908,0.9988376872521317,0.8997273998231184,0.9610973660574691,0.8906673487540586,1.0561975104295562,1.111463326088562,1.1577044456110759,1.282645696567098,1.0587166849667948,0.9591540589156647,0.9470011702848798,0.873251836764203,0.8013163221432927,0.6603357357448709,0.6827628729993236,0.6966006014201886,0.923576844908483,0.8868540338461609,1.2363193599265232,1.5038143480687172,1.2872869627778747,0.8602770636114501,0.7246921316753785,0.8189537776740572,0.6825395320800243,0.7914002586764123,0.7277867003565968,0.7644194870905343,0.8805302948346726,0.9251606677368881,1.0824220000809042,1.2089454183947443,1.363084741955987,1.9223394423556028,1.7843345038683411,1.4066540071736129,1.1631697569454293,0.9861209663590478,0.9361175128591326,0.8818436539549388,0.7996344712626532,0.7902527249782142,0.7315164138400282,0.8419339012431732,0.8467356007918717,0.869936182386285,1.2185366210376603,0.9130582325541543,1.0541843859618403,1.1434558963846255,1.06568447022722,1.083819007292797,1.118804076173218,1.5163573739685576,1.8220549814505789,1.6341417737778003,1.7688448231728071,1.4279038812403868,1.5797653771858122,1.4207573799333724,1.5631962842452256,1.920643637762325,1.4597160242088965,1.5866748126235284,1.7180477592364332,1.5742573120365886,1.827368225952337,1.6511013263168608,1.4946846758606578,1.7656866650140548,1.901847454664458,1.6484009992420707,1.6673543917526532,1.9672754437648583,1.9228804634358294,1.7739108228037257,1.954544625508742,2.129553446415163,1.9805846270522987,2.1985514550884377,2.378723162416844,2.3349637862505337,2.466395688269691,2.4235096350911656,2.299224555974472,2.4160992487547976,2.6549245167706044,2.877569811064474,2.8853766348018346,2.5923148706971384,2.440703004305249,2.4421417242414183,2.206314459069843,2.5340785970217095,2.6446722075454216,2.3552930054786394,2.320790057617286,2.638962093333368,2.5860191984178704,2.3762724598631717,2.624725824504815,3.050706347789322,2.584624499627496,2.288531484120912,2.0499608231867423,1.746641690714248,2.022110466214585,1.987340647711058,1.9543816694756564,1.9151864172102249,1.8012236012666198,1.8031352097459346,1.9268316720974417,1.7392213887385568,1.6698487269515705,1.7760420663448944,1.8219212847576807,1.7151633829122501,1.7714603739986803,2.016384749515886,1.9589059174242052,1.9046093238022628,2.063787906438262,2.231515341247801,2.2371033876088022,2.2592276873456143,2.0800895680301967,2.297774531072972,2.4048436483906293,2.1739134780485996,2.2268890745777195,2.4851826771036793,2.399623814930217,2.2535927737225823,2.6452199133875793,2.833156677529366,2.437781159712281,2.5449921891430978,2.8932316136340557,2.9202425347864645,2.6326337305708356,2.2771687092356103,2.819999357124933,2.421102212311674,2.513972657286614,2.082447709477748,1.9411574099429447,1.7692848526565177,1.7835408303345652,1.6584628426911387,1.8634570638699404,1.758080216714857,1.860285255372615,1.4492442576353326,1.491918188611042,1.1802244094295413,1.4226068006514239,1.5020500272676747,1.658142500933366,1.415699797962659,1.2838788265818402,1.6488013297720716,1.613504210527429,1.0984480522665239,0.9883951102899136,1.0587426184434947,1.0430718695325454,1.6306829489484715,1.450980908611602,2.5974984899688174],[1.7234368342710351,1.3410838621241152,1.2330274107062507,0.8922654736071649,1.0885711018887956,0.946741579749434,0.8032786711135332,0.849849409720238,0.7115786506507157,0.6480268028720882,0.641153716800783,0.730160607228502,0.6900193041535375,0.6875779532525939,0.7736313950325947,0.7216629150486126,0.7949749166929521,0.8842420753767654,1.0658757682518933,1.0253456344906033,1.140816991691029,1.2109147827413975,1.2991547802202208,1.3856282329788747,1.285225830319485,1.1507604036386174,1.0538777623808495,0.9552777233482864,0.9006904784058934,0.7737607208311703,0.8179159326806649,0.7559797912023899,0.7450629208781805,0.8134387842174767,0.8419716544234153,0.8973684041893127,0.8411780570227624,0.9982984470283157,1.0176639061336255,1.1240009513236875,1.142168811295396,1.1207217787369304,1.107300843649946,1.260310236991954,1.6859285491696543,1.964052535898264,2.5215503727909154,1.6801840295058597,2.7733361140626744,3.4015059854771694,2.284939576569997,2.2017190373872344,1.4527187490259081,1.380764979773832,1.6792759349275033,1.3524334530589195,1.3812806063470766,2.1705000360804463,1.6929757532910428,1.8745579309204017,1.4950261781625458,1.2604495042965693,1.1205819691924817,1.309201399940791,1.3133338085552613,1.1461406375510077,1.2204903651818153,1.0468468921818104,1.1754260953903954,1.0835327122776308,1.2330777029900366,1.4796685317502687,1.178350002203783,1.3291311967840937,1.037245613080107,1.3940808964063875,1.0674976600501869,0.9991835667065312,1.0104328532663662,1.0967980754648017,1.0069089115575907,1.132672047464597,1.1509181086447777,1.1516456203300833,1.136019074285793,0.9402690252798525,1.0081531524936918,0.9482268024517821,0.9639976400619614,0.9053292601639129,0.9489229816528185,1.0731305471229025,0.9470520620570884,0.7662750387113338,0.7539070382023773,0.7951530688403617,0.8140385880732154,0.7440379699945292,0.7318342158085298,0.9167791451557709,0.7988638970955328,0.9853060913943953,0.9023064151482865,1.0104171138620845,1.2163936843987964,1.1204446050654842,1.1992676083322238,1.303253001073052,1.24701618477716,1.1579525217519346,1.1356568776255274,0.9563738156074624,0.810856619581377,0.8066187076555627,0.6994391529776872,0.7660071898087653,0.8322077450827874,0.998713114241029,1.178369293891178,0.9005371372106414,0.9073104533639738,0.769612580590841,0.7740759401755346,0.6910347129962773,0.6820311914138127,0.7931499778068765,1.1363979734306457,0.9251401769713553,1.1118837417146863,1.1103036986770203,1.265641860774355,1.380240819283549,1.2551776099977667,1.1866455479388058,1.1240707356210347,1.0268665240419677,1.0805590190514798,1.0553296606646527,1.2070095557930793,1.194175516510515,1.2150906891206947,1.3360244815812063,1.1071137037989398,1.0502683391680985,1.0498432412344874,0.9890481317037226,0.9363083555668955,0.8273042389672951,0.8202500244388599,0.7830584738751816,0.9808094961556898,0.8724572051931847,1.149464505984054,1.4424108095158275,1.3100339267679502,0.8964321730227583,0.8173233969270147,0.9022138745689519,0.8143836199812882,0.9022760428036793,0.8945272292274049,0.9210808025058993,1.0110769058065452,1.0568322756983795,1.1724556590314534,1.305253018597247,1.4105136974811336,1.8990540744185518,1.7966337010614644,1.4453023134193945,1.2514904353449605,1.115110281732747,1.0773111361135885,1.0425978548957835,0.9702375923478328,0.9608455984767296,0.8911779665203029,0.9846968821121058,1.0014215745811719,1.0250156667003079,1.3318619448652758,1.0554336439165153,1.1696392138931986,1.2418318855535622,1.1807600430849812,1.1925043980221486,1.230823578946489,1.588327423021621,1.893042912401178,1.6527315011723247,1.766437388906814,1.4503083418802705,1.5968401538090975,1.462220884817532,1.6426188220828215,1.9812814012295,1.5138694821540377,1.600766132869631,1.6943547234650578,1.5486755491677562,1.7497643714677127,1.5719802150625557,1.4375141875033741,1.6593782807736446,1.7658504731414078,1.5327942824317737,1.542309763303433,1.794899561254278,1.749134905625019,1.6455462487337822,1.788780199503924,1.9232623949179108,1.8279979331870992,2.0609010112168833,2.1779140916593573,2.1364676430800387,2.1814677911765146,2.13059616789819,2.044648380847721,2.1278296220628734,2.36098700514886,2.5646353107113526,2.590637704005318,2.336803170071952,2.2478787067018033,2.265743441322132,2.075909543856333,2.397752337139722,2.4833805470388297,2.2281235609016385,2.216164241862429,2.519056075237383,2.4608766728621854,2.295632936661931,2.5755794347068073,2.9747756860313856,2.506346804945587,2.286390029647436,1.9904102500140275,1.7219847574118312,1.9736516233694483,1.892954192220911,1.8745172839555382,1.8030759299211594,1.7475409572752374,1.7384621094868082,1.8083121293400306,1.6431590515187424,1.6010762062864619,1.6491098939421216,1.6736972967525454,1.5920425773860332,1.6303091410443649,1.8287540661325015,1.7727320246055789,1.7620913659047506,1.8552963729966123,1.979261270087237,1.9929307373833733,2.029280876256631,1.8943409820473875,2.0926221260885636,2.1609799047227964,1.9690166670316285,2.048599841395767,2.257438104757151,2.166428699998052,2.082302468273155,2.450615575141446,2.583809098347711,2.227164077167989,2.399208478283931,2.701914853286898,2.6862648645336114,2.42598551545028,2.0696136834857692,2.6010115920811896,2.1819552402593723,2.231979366821959,1.8967129475061861,1.7608462862498577,1.672448796993313,1.7204597865813644,1.5492800132606177,1.704582624236515,1.6217706429519236,1.7292731681713827,1.373256886615835,1.4579742766441466,1.180092753102989,1.3097577430333163,1.4070561267825814,1.518283128600718,1.3318131044589838,1.2233991534738717,1.5126841797990704,1.4741818104455255,1.0317578315935045,0.9144204888030153,1.018451906160344,1.020755049768543,1.8031001061603384,1.6518440131813,2.6746310920181258],[1.6544119902257912,1.2903200886987012,1.1662524422175424,0.8366705511851759,1.0183136324938726,0.8617156364391833,0.6854029598312986,0.7372919935816991,0.6073651033716502,0.4546376837796837,0.4476421201203003,0.5638562316978297,0.48002210633103787,0.45242146357744994,0.5863837961027044,0.510304391149112,0.5314801398864945,0.6015288652123819,0.8068259838509259,0.7228789462900168,0.853359520835701,0.9039302633077785,1.0547056566838284,1.1682879788187122,1.041378185840626,0.8863146493395689,0.7588812737065209,0.6721451157848751,0.6140698361403392,0.5363635778644943,0.5770880342286671,0.5228233175925396,0.5264362732012003,0.5690237442722232,0.5941622663092534,0.6275781191160691,0.6070458354385424,0.761250423715589,0.7467484796455388,0.8549378987710027,0.8484447329147534,0.8326396954569223,0.8384324442997313,1.0346694253310662,1.5418450095694551,1.8764611295898777,2.419437575891129,1.5232306284884383,2.7154286628113,3.2588766453552056,2.090522805964001,2.11577390588583,1.291562233403274,1.1461369188432706,1.5131701547860188,1.1488134718388343,0.9984374298629921,1.9133930452731593,1.3797286328193887,1.6186334194362797,1.1887788793732195,0.9445889148370925,0.8213967799293613,1.0037695089263503,0.9767981397982901,0.847720312594673,0.9504808095184206,0.7577386675666543,0.9169544857135336,0.8407566638780152,0.9901339987067612,1.2657390199303187,0.9429238391891834,1.0986553567554234,0.7838338013380217,1.2017878445029189,0.7725982861381981,0.6984508738604819,0.7263131789807928,0.8157302400822607,0.7261704298160327,0.9117965901175029,1.025715798483928,0.9855990151609748,0.9583509872651725,0.7265924326444793,0.7304504482208046,0.6887478268214908,0.689925369714738,0.6416421765150229,0.6797366621382213,0.867581675825035,0.7253433609752948,0.5621513798533566,0.5497060175668149,0.6270005322842135,0.6487930072665195,0.5487171242894503,0.5586834507744609,0.7660932516651875,0.6090729891039541,0.8328668625057191,0.7230527213703728,0.8945707305639697,0.9862235302776623,0.9538883540290338,1.0986633142795261,1.2198840630398864,1.1569474044022507,1.0690124946660962,1.032364487815705,0.8062662441818841,0.6606755257469973,0.6086544321767225,0.48613109501319957,0.5580505505733308,0.5814158513381045,0.741446930609276,0.9205067786830485,0.6401168969187576,0.6712517486521391,0.52425283229022,0.5295473991524595,0.44959344483748626,0.4565711983667083,0.6105930044285826,1.0466479889380624,0.8091760746384405,0.9709269229706712,0.9563629745772221,1.1472649082373216,1.2497682189425328,1.0699062571734796,1.000845007655754,0.9372597834622766,0.8544879131624188,0.9109119433193136,0.8199733453403013,0.9222403904572204,0.9385076957403874,0.9723199859216591,1.1148402500508674,0.845177806020199,0.7839350494612403,0.7725812246714748,0.7197932912574974,0.6761967010859067,0.5830483106513911,0.6313357805218593,0.6416467442241539,0.84457218216989,0.7912901681087413,1.1423763415618267,1.4033929966492855,1.2130645058201979,0.7766119856453362,0.6555646554436744,0.7476853109151599,0.619071053888396,0.7640752434816933,0.6837205138834092,0.6802322479176289,0.7563125401155275,0.7919724642182755,0.9255351381618544,1.0527408543672765,1.2048717074732445,1.7346879018698034,1.6515704406685132,1.3143207822264362,1.0769898633863526,0.8898714439633919,0.8429106563011469,0.8225886805086363,0.7535091428854405,0.7452893115442775,0.6921058564157875,0.8079364099837701,0.7770723817289267,0.8076558016327491,1.1363341192147425,0.842451562861138,0.934868422026708,1.0182448081802258,0.963657291550408,0.9847538033264894,1.0201754305126491,1.2911452564128536,1.7375662335009348,1.5132972390094332,1.5609264239659622,1.3429709072682527,1.4559836144839045,1.3146049677604643,1.513931413676646,1.902086125768971,1.3675803874147288,1.4938990445193923,1.6158077609730002,1.4523778601110502,1.6082145686686518,1.4235201463239855,1.3087264194768493,1.529346999176675,1.5965300795866841,1.3840761829208583,1.4141228069960634,1.6382315702735915,1.5872100145082784,1.5209522171478789,1.6616303505527126,1.7932911261401905,1.7290378377413174,1.97300602129589,2.099671399909799,2.054281236980139,2.0482637438143185,1.953625605168255,1.8600008091777689,1.9215883649985392,2.1167165108128336,2.2995285534359122,2.285951606629804,2.052789674444116,1.998508235028595,2.01179575593054,1.8487155382402036,2.1483144065831983,2.2274657475022104,2.028434923595874,2.016832040146135,2.2899398844181476,2.2463083767082703,2.1220664256096433,2.440543075114623,2.8252868274985556,2.3757104687591672,2.226405172428273,1.876856590854674,1.571474612440319,1.8194622951883006,1.713626164078221,1.7060800553398368,1.609515430573903,1.5854761162446078,1.5780545478439127,1.6169825302322423,1.4668411259471412,1.4541312914069735,1.4763661795392975,1.499026838866335,1.4411147144390668,1.4875255205818185,1.656704945966364,1.6304315952021762,1.6706733400057168,1.717158108108862,1.8127785380862846,1.8072866400905567,1.8131028805596343,1.689010199747367,1.8554109669746448,1.9212598422572946,1.7681772314320805,1.8304856913254084,2.018729007200132,1.9502744677446626,1.8988865931225583,2.2117089611754923,2.3429676402638906,2.0496053343520875,2.238569832119073,2.4608954682083213,2.4498885164626976,2.252479097152146,1.9468911353265104,2.4459217255957633,2.0886446176170033,2.069077054650039,1.769611620820315,1.6215727991481474,1.5460377769684417,1.5737338495785158,1.433161130175135,1.6469303975816247,1.60016215332347,1.6480224121608804,1.3010775152164737,1.3817057435083435,1.0929277889959885,1.259704932843836,1.3297708172672542,1.4454785749186645,1.262154345629123,1.1278653038151616,1.4464155196700645,1.4107803279141533,0.9478200588163721,0.8037725667988947,0.8717442945757907,0.8974617875278272,1.6733308421939732,1.4553322027271802,2.539740967409731],[1.9691483038728572,1.5967309086022277,1.577333147840859,1.2645894025338875,1.3510377562493143,1.2597859058568255,1.1115635384704932,1.161804729725407,1.111911644701646,0.9773999460238959,0.9982441224723396,1.048603896069475,0.9390800088467051,0.9665298901646107,1.0392107524105585,0.9624425923434844,0.9307485321479084,0.9522366361140744,1.1015452880649497,0.9768157917998189,1.097533565822156,1.0754276693972329,1.2658989419410256,1.365294875285736,1.208364920464814,1.1075855610709826,0.9549240572639752,0.9127293734351822,0.8945579946747191,0.8982347709604042,0.9835528643422552,0.9125793311353196,0.9641003381718847,0.9585598330994881,0.9284195817069605,0.9261608462399963,0.9138647999072739,0.95660231655436,0.8966061690424943,0.9364764015135217,0.9292552654469736,0.9775632418314698,0.9540711458576647,1.097702273828734,1.5911590421708088,1.8880125726111547,2.4405695067054425,1.5579554141957956,2.725490615395593,3.2104315654710662,2.053132509001256,2.0980349609738473,1.3606030478585567,1.20037318440178,1.6119297564599722,1.2226249631164579,1.0142188681940856,1.8579803899812615,1.3643078359485978,1.5948264328208104,1.2410383027597371,1.0864229748581218,1.029829117391571,1.2020433124680487,1.1404299272244225,1.0608165038308934,1.200368821708139,1.0447386695502057,1.196691443538321,1.1660976519155368,1.3039582411650186,1.5469734913907136,1.2908960469032331,1.367063638818863,1.1092312000233697,1.4540579048893463,1.0104913678399876,0.9595550904942286,0.9457006814985155,1.0062627767894794,0.9003177622045665,1.0303604083971347,1.1970004303406077,1.1014472018096877,1.0507043644599874,0.9094451519552369,0.9081893331271889,0.9076763411316391,0.9419171701150609,0.937542953412314,0.9915167392350263,1.1917276313375533,1.093338218474249,1.0207885235972383,1.012624156946667,1.1074580886773602,1.1074298967550578,1.0072811587614534,1.0242985816296477,1.1565574878913947,1.0172590189808963,1.200445219405449,1.0322264454703853,1.2253472504797314,1.1849571153384677,1.2242315609621566,1.3805962210688274,1.4671606646306514,1.46145291923258,1.4012117052922994,1.3765376665201368,1.0937322002433845,1.0271102643907,0.915925274365921,0.913010151822009,0.9055491474984703,0.9060759529230249,0.99352070620327,1.1412976585490349,0.9974305142991992,1.068003425116057,0.9678217448693666,0.9493410869827857,0.8974438032685776,0.9015105817298208,0.9014551189829051,1.330653121365199,1.0921507770872492,1.2129681859051658,1.1823722509657868,1.3371383942728936,1.4509288054131868,1.1947035838866416,1.1846743290848036,1.0720859937947826,1.0118958522993529,1.0342104991910852,0.9215689304324881,0.9983622814794296,1.0255567375965084,1.0829518305966384,1.186057512776359,1.0189018013208866,0.9255114521002984,0.8990435710668547,0.903260536467218,0.8943458469119596,0.8847961633325374,0.9470961491001779,1.0402845290850535,1.1894788188899434,1.2421127348945853,1.596164058247948,1.7513048664749895,1.4762135691236955,1.1944704055333877,1.0692699698192945,1.127613490836962,0.9590075794170925,1.088738075800878,0.919474917629123,0.881834004509161,0.8815739685878895,0.8976162494168658,0.973963953327783,1.0532889541720083,1.209549464663501,1.7180936265023905,1.6441738551353604,1.3458460044130438,1.1088783511966271,0.9688352590566569,0.9409587056850007,0.9634558689304591,0.9387139863263149,0.9734149541890877,0.949214445674012,1.042477233486371,0.9357632799786583,0.9988651809354782,1.211648775865805,1.0394869970681506,1.0548932565717348,1.104000418316758,1.0536255622802513,1.036121431405819,1.0754360130503242,1.2152316112782793,1.6980511851374869,1.4485740423600375,1.4559491609952662,1.3113039511269655,1.4332819290169658,1.3354060422353347,1.6143605604248021,2.011264002227945,1.4391639539667953,1.6512606955952192,1.8288701127591533,1.713187635499373,1.9137096231235207,1.7697571653627178,1.6457818464353635,1.87744229895989,1.9845010869491848,1.776291512520283,1.789586376822127,2.0467738253990153,2.0159650609740054,1.8963759383066507,2.0485419937621927,2.2232684969381302,2.095728762383243,2.2589676113039707,2.4852910737600933,2.4465594581871675,2.5043526674406014,2.4202769321530577,2.3067462283720848,2.3993058277576527,2.595660536094725,2.801417046633065,2.7484524065268885,2.506463411786353,2.4123600916604473,2.40883650540832,2.1995731323241547,2.4593814749168135,2.5773685219256888,2.354832090647797,2.3039642360890675,2.540130068493314,2.507651467322811,2.359401481757968,2.5911438236550834,3.0006040025381315,2.5796693579069987,2.3301925156195167,2.1081943035475907,1.7905735055377208,2.056276170329633,2.041360570565023,2.0162749205373984,1.9963353016334053,1.8957361023419705,1.899104945315871,2.0144836965200557,1.8531215839930864,1.8116282433976445,1.897476710839025,1.939128008483185,1.8710548553154278,1.9119490324790642,2.1092233542003087,2.084664802929246,2.089898204064327,2.1750453569224804,2.302387391897619,2.2864459629751708,2.2747004759865455,2.1222850921768277,2.29301978081834,2.388971248848208,2.205599961830319,2.2348744859546636,2.445437990469142,2.38207396818041,2.2643347553466504,2.555364104415034,2.729921608222344,2.4315331309844708,2.513060660945835,2.728114726852295,2.792911214629004,2.584506999771904,2.309411320450489,2.7569483252742275,2.4618720593931194,2.495787455756694,2.114071818715433,2.004961628988907,1.8665779541898078,1.8431001989596896,1.7874716622456945,1.9780403323655948,1.923181978571108,1.9835140281403905,1.6250800903173233,1.6505312143454998,1.3669074784637105,1.6458048706750312,1.7273095681303077,1.8666310492385731,1.6442316783575772,1.5101602944062096,1.8405813819970411,1.8257746211980448,1.3515515778348037,1.2577909546069173,1.2434333533133612,1.2892247538094188,1.7335635808978445,1.613708237557389,2.6991208554621093],[1.9309510332467887,1.4704820946563883,1.5164191218695477,1.1306936862378558,1.4136683294069072,1.209349123974605,1.0443630487833275,1.158192338973224,0.9292373103207435,0.7142234256966005,0.6827341880638942,0.861585555835467,0.7747090774544598,0.5852199265500413,0.7016210039249411,0.7127085613011594,0.6633303547837704,0.6280965370342618,0.7475821935528568,0.7513816982459678,0.8083347160437298,0.9195510430889132,1.0639508899886552,1.113259096706078,1.1314666512901894,0.8747997076532871,0.8313429970565811,0.7350026565282491,0.7345773758811424,0.8010104085725236,0.6701622351089639,0.8156274144987602,0.8043414774842926,0.7647224718491701,0.8183892926421962,0.7888999339369905,0.9334814571058406,0.9365395404284805,0.9349644734468079,1.1429647122767974,1.044870698152693,0.9295385065972729,0.9837708188874467,1.1642332215758395,1.704266005886072,1.9815909363437387,2.577783692323597,1.697863610505224,2.8155573450630507,3.470581052743316,2.30942573489681,2.1991114858077787,1.5458144184357077,1.3086575702752954,1.5871054305896124,1.4083767207776328,1.15814261903726,1.6959209621527584,1.3356546101948992,1.482251342421199,1.1026549053529056,0.957082225096084,0.8476641217008083,0.927534761008352,0.9765043670026383,0.877265110498606,0.8443255368737485,0.7145501115942742,0.840420276523366,0.7250424169604238,0.8589984385168989,1.1121813067182196,0.7820802764556843,0.9828489154915483,0.7049273962640774,1.0360557204549516,0.7788475785983873,0.766736206387846,0.8516016084637141,1.0098158674752926,1.0132665152856335,1.1913069731847523,1.2981625470994043,1.364775050078018,1.2543448299038638,1.0538920179465803,0.9582569954407888,1.0357757003898136,0.8424584941858551,0.8203922877213429,0.7611956472745842,0.8214326802010568,0.7329949884202677,0.6775004145054567,0.6742795270466384,0.7025444880819858,0.7231068862780524,0.8250357933065994,0.9114174823283342,1.1552658109971976,1.0408696008608802,1.3232981467133922,1.2013190752654868,1.4362040565205145,1.4896478115344125,1.5052579792562726,1.6612559798683657,1.7306192233451896,1.7069116309034462,1.6251699361544536,1.5494859345148673,1.274757416349707,1.082213620307408,0.9544352350049359,0.7331526463030127,0.7243410903175739,0.6470914694733985,0.734043521627651,0.8160612636335584,0.5913777088118272,0.5802983092523879,0.5274006364895027,0.536443840018706,0.5816444440869891,0.6983582712862904,0.9354509086430113,1.46645917885468,1.2461638003904842,1.494953738305471,1.5066849168774068,1.680155628241614,1.8351785065648825,1.6194631402716109,1.5765005631976614,1.457549510553157,1.2740202106892076,1.3243191970751067,1.140153906896034,1.0981064775035296,1.082601697092396,1.0307781190298972,1.1465454919678704,0.8821841298715274,0.9072613695816081,0.9324751857017642,0.8733318936431063,0.8687881584311334,0.9183138313986944,1.0417347567943698,1.0516021203389738,1.3053578475834853,1.2253554216111553,1.612974899218403,1.6552244377755125,1.4440626179870246,1.2182967718172912,1.0891229445656234,1.238723990240078,1.0385481787385773,1.240369227954692,1.115551163760296,0.9996772640848237,1.0134927450858653,1.0530576764523536,1.2063153562152809,1.276772663965465,1.475716545554867,1.8927872982300575,1.8447713254755527,1.4998396329809058,1.3883524857373986,1.1919630702990625,1.2207955986203243,1.2402839043827885,1.1841844795317507,1.228174450524926,1.1012341912787287,1.2542634706134501,1.2050471171329817,1.3110332983564368,1.4891430750539447,1.363687781534473,1.4559290851145579,1.5148914063357353,1.4323390045908702,1.3499051864884641,1.336311862917448,1.543650199315658,1.8932863527365842,1.6778011199886698,1.75874276870819,1.5397578596172528,1.720838466370689,1.6946695075224951,2.0252358107936956,2.3553320746264625,1.80385835626526,2.014060752630821,2.128964303657879,2.0008813228510376,2.236501567750005,2.0662357092370907,1.900187719031249,2.1220532508061063,2.247392971609746,1.9720217583066868,1.934143311629262,2.223487434107634,2.1904374723125173,1.978655159354912,2.11658638697395,2.284130042014047,2.1121111069049108,2.2629908116947783,2.4439789081379835,2.4326918779386317,2.530003290372982,2.5060651521545787,2.462631399956032,2.5502809557604462,2.7949804484644676,2.93554374972275,2.973654385859868,2.7668896201689583,2.69631521465166,2.742397812621057,2.569480366604871,2.852004839053342,2.9370179940758536,2.697805680962582,2.6909575817532327,2.918451516793154,2.8670362936059037,2.723985362116783,2.9098474106712513,3.2940286053107495,2.876273827760072,2.6247990091569418,2.4319263247326357,2.173826198048479,2.4474705291163503,2.405973527454076,2.3945421418688597,2.334275344616668,2.2665742158651816,2.263542507161258,2.3315718840796578,2.1676291724021546,2.104304587978069,2.1542239868465263,2.165546987713261,2.033423048516986,2.0636269396468743,2.286732266845669,2.197499269409731,2.0906312696316705,2.2548084358696325,2.4239254021642593,2.4457406099489147,2.509267983405144,2.388663219171275,2.579908812353796,2.6288783926627937,2.4340651281219836,2.52453955525271,2.709304807622218,2.61781862862564,2.536078821084395,2.8515462757058425,2.9720888611010934,2.651938267573797,2.7939130070632316,3.0269760497176406,3.02878126297818,2.803462884588571,2.460517186981345,2.9011176022831426,2.483939513569242,2.5557997512571697,2.159784875565338,2.1151234673932953,1.9229659010710194,1.8957249784591201,1.8475662720165433,2.0195883901987504,2.0208600464206383,2.18049896743487,1.801803494262492,1.8939129998596076,1.5655053806017514,1.7173595051685078,1.8606739264678933,1.9758319566444948,1.7198973391876804,1.5886155842271226,1.8931005438455883,1.8772925217881598,1.3643028291382349,1.1206986868964202,1.1795101748916863,1.2411955293466301,1.8137666837116753,1.6867466710810064,2.8646927047840616],[1.8727429993794398,1.4196832053805926,1.390227324004511,1.098433881504246,1.3848407669295195,1.207311104214238,1.080039946553196,1.1752725205014916,0.9827641061358325,0.8266040895839087,0.7988907137758678,0.9349341103781206,0.8862974166020186,0.7235270800542238,0.817049104223011,0.8436202581739874,0.7919762613379211,0.7581403346470245,0.8333065163915954,0.8340485218275736,0.8630956317661125,0.9471211152564504,1.1136122192886222,1.1206576293271526,1.2185746288880144,0.9378740881224679,0.8978250298878834,0.8303833625143159,0.8405674788512728,0.908516604419667,0.8169313191674387,0.9111707786666716,0.9073854631972202,0.8604998457257212,0.9092968248675807,0.8797069535276091,1.013417062696804,1.0037512662534933,0.9850978029546954,1.1643957733279173,1.080586495205833,0.9834088289109955,1.0517541771989867,1.2567200313561655,1.7552085562685336,2.0535630422675313,2.618645205698755,1.744710381500118,2.8967745008817163,3.516484344179018,2.3163371326947537,2.238449620387456,1.5782486292224658,1.3042718958877797,1.5775144872694098,1.4438842122469775,1.16000493146228,1.5861321002021973,1.2703300778548547,1.4191374726455124,1.0741384801085885,1.0084091388492575,0.946261415028377,0.9346356435623292,0.9932140808365856,0.9407604893109249,0.8696498150251127,0.7903803862622437,0.8851036130954962,0.7826732838671506,0.8610303497955407,1.0831860236678272,0.7851190216646972,1.023555974604409,0.7884367376187262,0.9965216418291559,0.8651027131013904,0.8689269980931091,0.9348496856722641,1.0544972356527418,1.0629120456667134,1.2312583647184152,1.2886147552540437,1.3579394055926097,1.2585837148098173,1.0850607657567772,1.002987437447683,1.0963717640857886,0.9130318365793858,0.9110478972611181,0.8744824140361376,0.9411403796923792,0.8720163585452648,0.8105727884250816,0.8059631779224946,0.8269573115573826,0.8443656185046541,0.917363540639004,0.9871861881254275,1.2166280270427354,1.0918526963058164,1.3215938302329366,1.2116163085016476,1.399391843522063,1.4504216976465745,1.4484990482112974,1.5489015774213775,1.6136539212204448,1.5938588186805063,1.5238980025750983,1.4811236443615594,1.263793985316274,1.113243371976685,1.0071853197583405,0.850118104967291,0.8469811775535913,0.7690732503122372,0.830554373568811,0.8455235695345955,0.7174169665799038,0.6851165875751687,0.682926448569518,0.6791622684021927,0.704675047315596,0.7959307137233492,0.9963077382013598,1.4702706655650175,1.2353751034022815,1.440778465227441,1.4353972248786648,1.5893480926955306,1.6918995233488456,1.4878857036803987,1.466342557256908,1.3750491328105998,1.2355503511909385,1.276364547505822,1.1378571954300047,1.1062036879585821,1.0867468558824909,1.0513013902996187,1.1550652129148617,0.9246076228646575,0.9544867706316004,0.979302353911688,0.9265086882281333,0.9273002767649071,0.9902207012255556,1.085037249582513,1.0960335235779322,1.3077132076246167,1.2333750419375207,1.564458520482574,1.6552175221708485,1.4875402100058241,1.2468159608707394,1.1351199363663695,1.2535945909491293,1.0827943620416578,1.2403435970826475,1.1285798707088406,1.0385038271266875,1.0258869592257838,1.051773457475003,1.1508685127996094,1.2438660305238969,1.3931488806883847,1.7960162434929645,1.7534043028652895,1.4405551759091584,1.320289873817912,1.1575639481758913,1.1858452683887408,1.21015838675239,1.1766450967677116,1.215223732715775,1.1357051412678123,1.2513565253820216,1.192018166287294,1.2664964793894395,1.4192299182964723,1.2985070863261445,1.3378629113250646,1.3859275825687032,1.3480169199045717,1.2884925629830997,1.3348600529126045,1.4313421640202226,1.8487906963154188,1.587618098466946,1.5938475251076367,1.4483986453353652,1.5903482598449405,1.5599655050705425,1.8895076911418582,2.2223218281449553,1.6823880790021357,1.85095293174968,1.9635873573599147,1.8526184708476603,2.0032063518371164,1.8495174542061146,1.7287119937585267,1.9039859580995009,1.9796897198409193,1.7471387178863784,1.724531943155832,1.9492225867399933,1.909753510159471,1.7604207052174117,1.8844329165137326,2.0066407528681385,1.890526538493798,2.0870560092629025,2.200583386242145,2.1750032705714033,2.216324173520489,2.142649863823407,2.1106069563760617,2.158356750021799,2.3489533387256794,2.4682193956382643,2.514642260994342,2.346891242783588,2.313965631913191,2.349440562410986,2.226693223295829,2.4914438200887896,2.5412804161086617,2.3671216296052418,2.366614882516542,2.559003274265194,2.5230269158836203,2.4431372882708406,2.6780916452332626,3.019029210474311,2.6091708085013665,2.464264191252941,2.213417835015838,1.9679700804700584,2.2014425179764605,2.1198703831390744,2.131596173741291,2.036132506473004,2.0272386987749162,2.0192419652322116,2.0406402020789227,1.9070527793077394,1.8806586778044467,1.879752567584327,1.879301728069848,1.7826646777779063,1.8032204197128046,1.9755567673444154,1.9068917041983924,1.8570983812545017,1.9587592842105135,2.074621978883258,2.098262471545932,2.148252676438851,2.0589474074778575,2.2138800139326484,2.2403151707395526,2.102466063124568,2.184736011861702,2.3188228178574577,2.241772527521553,2.2204342028456194,2.4802818285350297,2.567783716294981,2.3091537198371084,2.5031357300397374,2.6674533732000962,2.638796035757636,2.470333067344383,2.1724369091522617,2.601047759314671,2.2123380864498694,2.2355427038995486,1.9522685232154624,1.8661715204406637,1.7544066042976203,1.7772536881903755,1.6768612109003198,1.8220026670560066,1.8456302085968315,1.9601263376248106,1.6578580597479726,1.7683275443339688,1.4914558466524852,1.5921087442119985,1.722273552474404,1.8095317554161003,1.6223332376349575,1.5059860967988223,1.7815568851540586,1.7585865693395075,1.324614172916326,1.0674585875050449,1.1732812492558935,1.2685209770192412,1.9372697747265628,1.8411817921863267,2.8435067330444537],[1.7039543973267781,1.3499001526966847,1.3466539215624784,1.0682488404771155,1.3018803170561142,1.125532980828579,0.995276819875175,1.0718100592195434,0.904347132839916,0.7420519565783535,0.7294418182832432,0.870161291350682,0.7723931336856141,0.6673614555841769,0.7380639062427755,0.7504393464183251,0.7100053738119357,0.6734580789880844,0.7976472125078995,0.7442086625505896,0.7829781054137945,0.8309482073834666,1.0039858428643902,1.03286116303031,1.0933426414977785,0.8613925456434327,0.7908729511935153,0.7476380909807058,0.7529194152154115,0.8009769756247725,0.7242603585387937,0.8186432136903754,0.8184213590449724,0.796418910823748,0.8243676046726585,0.8002976018616179,0.8775085731098757,0.8688115733417364,0.8546983780699036,1.0027683799392169,0.9403069766988332,0.8626456116194721,0.8842357600526727,1.09918849565739,1.6603054385765859,1.9420295463781039,2.5247771203558007,1.585615260299204,2.7665185408357074,3.2636316097554086,2.009170926937691,2.1088933686798166,1.4117583906238462,1.1670141033131918,1.5193182839138886,1.2662288980997471,1.01293157858146,1.6184424458500863,1.1762443270888503,1.3054051100165938,0.9552418598215479,0.867870630683284,0.8141866894956546,0.8704585620984414,0.867087985532971,0.8212723655219626,0.8281914974734316,0.7412556015421878,0.8834972398110628,0.7969490500062031,0.947726554639139,1.1949627608782782,0.8710801302610626,1.0244490959557075,0.7536881172392991,1.0752258378959227,0.7744800989253846,0.751117068283551,0.8160861859457013,0.8813493458744154,0.9103175621397944,1.0817907625975196,1.232173000354531,1.1762594407399352,1.154215995988245,0.9461074379543319,0.8643127293056537,0.9526154302909238,0.8182996707858785,0.7994237358053382,0.8014356468519572,0.8692570176111091,0.7507116932078401,0.7369931029929041,0.7353414305315035,0.776965458138623,0.7959856505183267,0.8396978954684395,0.8995302644578258,1.0916830116906613,0.9664820212890133,1.1810495694360026,1.0767142213620577,1.2691554272146806,1.27742406762725,1.2974292060806312,1.420559412011237,1.4881653049111856,1.4671449025353056,1.3882291451001503,1.3487650638978415,1.1356712768685708,0.9955690302222423,0.8800468954894706,0.7225976634524133,0.7586421665892579,0.7053126327978655,0.7695862824863288,0.825985709405316,0.6940186442493967,0.7026085476245328,0.6560977227537054,0.652210212622489,0.6432012795997827,0.711581819663621,0.8681633802148822,1.3288686105095056,1.1131624408226437,1.276392603302079,1.2726384678436136,1.4014388382134249,1.5018680126579473,1.3002552097854134,1.304850276477305,1.2098168831550067,1.1230583820997715,1.1417639325381412,1.021985971132799,1.009502005183702,1.0135838215538917,0.9394237618735344,1.0123384522086558,0.8114146331687873,0.8344819330456131,0.8572468048509269,0.8405633139096438,0.8325176764063436,0.8669644260752554,0.9609503375525105,0.9560973040552163,1.1860579460946028,1.1270757717508684,1.49358574663476,1.6217431969927973,1.416580293581815,1.1133394755764494,1.014017653608814,1.1055487953482916,0.9660542639224599,1.118549499539612,0.9972210017595603,0.9180529462675272,0.9057347400145048,0.9325715036181069,1.033059245627248,1.0950237047254192,1.2905868745982796,1.739667253523176,1.7242807408884404,1.449986123524575,1.2295435611003767,1.0619122230485218,1.0593073021266008,1.0846734379606033,1.0469216955988367,1.0764528698018914,1.0009993723005013,1.1244806987992482,1.0576702371823037,1.1464146266067017,1.2921935819592851,1.1713198258625281,1.1957052847058034,1.2285174686011,1.203122692779658,1.1582128599998793,1.173177496174802,1.2278172248592822,1.7017212566249573,1.4075040265317984,1.4243652772658395,1.3589990300890364,1.4553529288187932,1.4137463633656149,1.6234302065685384,1.9643250652520428,1.4745813414526752,1.652656220297388,1.7804116370587801,1.6805810434172188,1.7893592409879537,1.6661290657063001,1.580575448972475,1.740543646389028,1.788223674378633,1.6215856145080314,1.633235296062277,1.8067219626670294,1.776398378393105,1.6927808762188297,1.7928194929367938,1.9212855905903412,1.8641271108651993,2.056283877828244,2.1829508615298803,2.144330930973339,2.124405062823541,1.9908179161111565,1.9405087688360205,1.9850210718576637,2.128069433145151,2.29207488714868,2.206649939066441,2.0726257066844243,2.0195891325128676,2.0417128502685435,1.9391104497718736,2.1334579801413502,2.200928992714164,2.0707867042402697,2.0679251233339584,2.2286321911499094,2.2153453997156465,2.145319464020528,2.3340771543785026,2.704401394639796,2.3673049844075984,2.215198781693317,1.9817698635874401,1.714659767786749,1.9137574153133978,1.859993139035514,1.8688285949285466,1.791978806685224,1.7861606271962283,1.7859029942830467,1.8110531121893592,1.691396617040948,1.6919573968749353,1.7141618154107885,1.7328201726880865,1.6751148935910132,1.711136076498027,1.8513133192820042,1.8274950354014612,1.8299413501932236,1.881990484701385,1.9696764625253127,1.9490860545343895,1.9493738339634923,1.8564906007776771,1.9610095209719967,2.001801725046062,1.9078483157609207,1.9393422213092695,2.06392029056086,2.022381632069925,2.000984741164912,2.211682811424025,2.3197003991527927,2.1276033480416716,2.27465317666349,2.3436325666127873,2.359239640549375,2.2518626785407068,2.0629234437145794,2.3861931838621815,2.1784078822902475,2.0918650594164383,1.828218271984605,1.7536095521358452,1.6660390903407902,1.6359221227999152,1.6302040439791587,1.8713921116946353,1.8847097730092504,1.8700371355927938,1.5809450262055087,1.6298428743603857,1.3785518678466702,1.5616649032066738,1.627559717744222,1.732277536634509,1.5347364033279136,1.4151515575260898,1.690032571412174,1.6903146354307599,1.234506805009981,0.9697796382082187,1.0385266194017977,1.0731641015746554,1.6496466484425218,1.513757409065122,2.654959293501164],[1.5455004476475422,1.2064148708607334,1.042520136224383,0.7931099150761866,0.9668454447043124,0.8611547803534366,0.7167316699929419,0.7608705911357349,0.6787882332935412,0.5171102379985941,0.5126005585339942,0.6312296547302929,0.5270503788891685,0.4647731681660729,0.5879139503864289,0.5161460202261119,0.5055896942051314,0.5097443972791519,0.6664767138682323,0.5893193936481624,0.672071294250594,0.7273380531864835,0.9052344966998862,0.9580295845277509,0.939542186186567,0.72616692036557,0.6390583527171385,0.5671599869299233,0.5495557488498465,0.5347512582922213,0.5431292028027589,0.5381031851114033,0.5613536754186618,0.5537574766285577,0.5702781883200182,0.5734432539714157,0.5913637540833928,0.6814960352276191,0.6315019060388622,0.7609055102113532,0.7400364587202624,0.7081987489771164,0.7062729384318528,0.9110455818107792,1.5320434220354404,1.8232577801477718,2.4141125704919646,1.4302665052651853,2.635450554068166,3.143742817966728,1.897480838518438,2.008299689300012,1.2242533204206523,1.0291079622811001,1.442009164048514,1.0682466547572644,0.818406727284771,1.751403506846257,1.2027944189295494,1.3944837058697814,0.9724385788355763,0.7796835830735749,0.6716389046914698,0.7928844977783758,0.7847237514323838,0.7040890407686261,0.7554239979608981,0.6199994078576139,0.7826976225154683,0.7070186013716452,0.8528088896337929,1.109092620369793,0.7777045921269672,0.9423070985735419,0.6654492805236145,1.025379087369272,0.6439945307553278,0.5933665379661467,0.6201544292551653,0.7105766561428227,0.6420441235503354,0.8433440640057904,0.9759006281876541,0.8979925840416976,0.8916909625435602,0.6456744142872763,0.6281392895594442,0.6610638554860961,0.6068805657563155,0.5884766593362325,0.6205387424521578,0.779554768483751,0.6598643668471518,0.5424593533642015,0.5423956126555328,0.6211904103236567,0.6607510133597728,0.5961814670380493,0.6234406401322969,0.8109335721560588,0.6512121212724601,0.8354724827325186,0.7315466003524687,0.859990189875048,0.9258353923147085,0.8942797695974815,0.9740650723858665,1.083835888869471,1.017714623182473,0.9640097709572093,0.9525142340542825,0.7735395704900327,0.6688549848438049,0.6001999423860422,0.48542189402594854,0.5499539340428423,0.5147238081169324,0.5936062987803029,0.7319286048496048,0.518769713934099,0.5584675988581477,0.46770781062088557,0.47294536358886313,0.43512189905543713,0.4779211883318253,0.5993646535746642,1.0414306093180827,0.7551879587281818,0.8832827371902222,0.854585388642674,1.0002560924286188,1.0612031739643635,0.9071667320480531,0.8729354306776027,0.818971055932523,0.7693208085897513,0.7978513162026596,0.7552298293972973,0.8432752530850158,0.8416171341086597,0.8380425814213158,0.9450087685548073,0.677802699342819,0.6649413030445733,0.6612339566190785,0.6297225808426,0.6056533183635663,0.5800645003977943,0.6363898081181968,0.6660297949860957,0.8420259341746371,0.8105934186497705,1.1105099991478944,1.3823097474013466,1.2149819901784165,0.8011374762975003,0.6967539126333678,0.7518288301358023,0.6443520587466275,0.7542287914876005,0.6506677251136652,0.622111731170401,0.6556467960810729,0.6680598879251594,0.7941633149878163,0.9109389119401808,1.091062209299473,1.637292502167281,1.5920331000037886,1.2620540003416194,0.9710357065511518,0.7869772663353255,0.7420771466598862,0.7353072756168031,0.6902177364668521,0.6908846653658558,0.6723271022754954,0.7590194879304686,0.719661289869009,0.7444640163836993,1.059182697789209,0.7552197507626179,0.8068789157245067,0.87030771785028,0.8544976100013023,0.8787875520949571,0.9435272977928729,1.124002314691904,1.6207542174783118,1.332290284631824,1.3926124601093335,1.2130942701795506,1.3206017536578152,1.1789410333972832,1.3191090499049738,1.7020642513929933,1.1655462318027632,1.262738385902889,1.3859962968227202,1.2691877224895238,1.3312340877697915,1.189310974404119,1.1229686707304125,1.277698449709705,1.310167677033871,1.1815287486455064,1.2159600587648403,1.3685206329339392,1.3373636753961458,1.3499440842126769,1.4661914044052424,1.5622513536828886,1.5616180871252934,1.8354789540104888,1.9030557436290279,1.856648610527286,1.7681146270997221,1.5898131091658803,1.5078816074066612,1.550697149692942,1.6575777335227109,1.8624197015919501,1.7846073645187743,1.6225668361795273,1.5587565550990177,1.5680665698467162,1.4587802729422705,1.6999516600630342,1.7366115657285441,1.620629698827632,1.621423293699154,1.835027534401132,1.8022209582560662,1.7305051022799063,2.037308001287534,2.3809109733623974,1.9952641095853587,1.9459056262748597,1.569471132288417,1.2957161217333386,1.496108036207144,1.3849732022703822,1.413066748766115,1.3065995904693166,1.3507998758462294,1.3253131880176416,1.3258937150184154,1.2187991864017105,1.2388429630524966,1.2238067951104183,1.2553883780916657,1.246341168974285,1.2819971581537615,1.391921326913403,1.4060910426192108,1.5081414550526406,1.4767085912355573,1.514361726482942,1.4840840200520928,1.466638811573475,1.3717835647058725,1.4696419292430032,1.5165747869893207,1.430607434625217,1.4540059489802752,1.580192465861959,1.5435834444319814,1.5271400718351515,1.7549179881826553,1.8629538014506293,1.6442836809166592,1.8397916240791423,1.9478663506220537,1.953074668726968,1.809760793095971,1.5979203950174488,2.0359608625350516,1.772392563262659,1.7146565204530755,1.562221221871706,1.3886866744370847,1.408627967776827,1.4708790236873273,1.2593125855990368,1.444141956128896,1.4001402464146866,1.3945891888271293,1.140246813195905,1.218183556168412,0.9972743886363491,1.1356243194474422,1.1985745127035714,1.2843743123918239,1.193973916084617,1.0535114058482504,1.3264421517727145,1.3047461270533283,0.9202111265879429,0.7386430947613184,0.7890953717425516,0.8633877838556547,1.7351766718097053,1.5154993679852864,2.510984724869789],[1.3605101618220197,1.0619058233027197,0.8864499139715755,0.6039266225755251,0.6990194405832298,0.592091748024725,0.44457160642454324,0.478447261891096,0.4730739455004915,0.4165244947654917,0.4388773999136781,0.4773174997934247,0.4313319465915465,0.5171521212413933,0.6399507812721058,0.5330233152372038,0.624097980381166,0.7252396461021153,0.9036276566625555,0.8184766894232375,0.962602080784403,0.9766899412471387,1.0611647619002171,1.206717113215068,1.035638615709744,0.9315532939762684,0.7922432795472584,0.7214282657725337,0.6631929929020876,0.5152445985751625,0.6611427593013937,0.5115888033817341,0.5302677965260767,0.6230560297265744,0.5981866263695691,0.6606659881120838,0.5079040770040999,0.7293076524164657,0.7239356334988273,0.7490528969964881,0.824168122011137,0.8572244722516233,0.8154163272617373,0.9583520612623988,1.4215634855642365,1.807388041109942,2.2434451763555168,1.348918086728471,2.637137324767741,3.0091913827015615,1.8033616456701504,2.1209861478262724,1.076359139384723,1.048023133422963,1.5502389032623576,0.9207642186741049,0.916098549323463,2.172880771432171,1.491906465799048,1.7003324829294346,1.332832460564338,1.0278687494886292,0.8881804659614779,1.1028311821112875,1.0814612896302096,0.9130387826607389,1.0929267735813657,0.898754677660365,1.0649006020795195,0.9754353581531414,1.1144831466825285,1.3841675352096081,1.0996331028990556,1.2284765630750791,0.9245794631022853,1.4208477322317097,0.8576453049738592,0.7660644068996841,0.7444414591157832,0.7794262408418567,0.6418177099430843,0.8190026394513759,0.9058648738023785,0.6957866403791566,0.806729700122399,0.5830786685466803,0.6917626547792495,0.5712162527530976,0.7156595272676841,0.6930321780800424,0.7820812465248396,1.024295639259629,0.8542563746561501,0.6523911897497447,0.617951827297887,0.7075187317604498,0.6937954201300371,0.5372945118264544,0.46382757164177646,0.6222188692592736,0.43730173647887177,0.577560403307686,0.4553221557945033,0.5113839910806097,0.6683050086173729,0.5742485336429138,0.7069207629917624,0.8563445946983447,0.7444111988025235,0.6964819576470422,0.6279192653454584,0.4581875248087799,0.39758471086923824,0.4166445158340472,0.47786156459577417,0.5170822734035584,0.6099305064801628,0.8500465595820402,1.02601404927209,0.7594780929427906,0.81029629454125,0.6373312122951361,0.6312408864019428,0.5290214863400278,0.41822661828969004,0.4060696799377447,0.6313593411293578,0.49732815469319136,0.5846460996097737,0.5968195015248694,0.684930432143166,0.744040127052435,0.6966864362076595,0.6159172606368926,0.6208276348960504,0.7038005900857254,0.7223684911144325,0.6884037830498234,0.8589568597257787,1.026674208560676,0.9802220900039622,1.0405107364401798,0.8521231087836387,0.7910290810551291,0.7633315716644017,0.7398612493422055,0.6679597903869658,0.5116640997552003,0.4000072849692497,0.4065559326103369,0.5261778609798005,0.5522613225026163,0.9334608000764038,1.333540302203403,1.1535715966024085,0.5294545721481116,0.42194224459918545,0.434571552028565,0.409529497960108,0.45565526576688087,0.4762427588613361,0.5722874575806144,0.7084422515213845,0.7202297473138937,0.8620226816835054,1.0198738740922582,1.174101562406429,1.755750509860401,1.706487878382876,1.4194558374687534,1.0252664461780838,0.8483126839044921,0.7263925135401688,0.6222812591983011,0.5251948712799874,0.47680897043274134,0.4905010359478927,0.5401217720472006,0.5728847239418012,0.5680442797351912,0.9700759823723492,0.578437670674448,0.694596083663469,0.7531085273800213,0.7679819207935927,0.845304997282338,0.8602158473434297,1.1882556592192224,1.7176691967083297,1.473790438748016,1.5198235807258613,1.3850605570319132,1.3974720323320808,1.2080925864719687,1.0810366341013318,1.4186339232521294,0.9051549470406878,0.9648337810838595,1.1118735615900295,0.9822776884222176,1.0666328359310693,0.9456581075849148,0.8843481724471565,1.0722277920070309,1.1302227505502935,1.0991241450139901,1.1269058698197043,1.2629845296589686,1.2935518885444408,1.3579926635399613,1.4470917653287072,1.5763842543692401,1.6459686400203621,1.8740533782708764,1.9470268478734087,1.8685093690573278,1.797710973386542,1.5613326377845618,1.4483768332917748,1.521535011126806,1.5980135589964088,1.856638279803099,1.6984610851044764,1.5483588751491402,1.4018764626576141,1.3568979152213223,1.2124202384042095,1.4132523861771458,1.523358469240204,1.3685972766277839,1.3310259322566216,1.5912992842334013,1.5833724008261665,1.4453414881615763,1.7544640159764255,2.155662332760529,1.7814829328566253,1.6935730098617925,1.3054328323593003,0.9808593320259561,1.1855821796891062,1.1059540705417112,1.148520140266231,1.0720276771057968,1.1326881358580911,1.0929732013265308,1.1441647093676965,1.0571644022747613,1.0769893809535374,1.1208194241950415,1.2258149698036094,1.2871684178917908,1.304473802995193,1.3922679474739525,1.4828237584891484,1.6329183770046753,1.5295713093998884,1.5515149204340932,1.4643977051732868,1.3909074615088937,1.2577647772603278,1.31029559629929,1.4121720942024385,1.3150564951725154,1.2732495773925216,1.4360793736362343,1.425562075224405,1.3431712608211765,1.580430692855607,1.7740564786692397,1.531825299594541,1.6608575291298948,1.8158762503028918,1.8921280261883562,1.7272122732237198,1.527528934910093,1.9880152229174273,1.774102193505844,1.6887549134934656,1.4680763693021919,1.3039529304436364,1.3558716007800815,1.3209391390878527,1.1889509171121249,1.3900490253620787,1.3312628684678791,1.2548853798464439,0.9499719370812574,0.9489274918768491,0.7563780754593581,0.8935584223536165,0.8871326992456171,1.0094316412589777,0.9172831809816264,0.7533670197859633,1.0588445356001908,1.060963255499971,0.628321427706826,0.6275321377980833,0.6881311210839275,0.6703291574375606,1.492031912590795,1.245963087997138,2.3832483525922292],[1.4807982634633683,1.2234382000071276,1.0108966596227522,0.7051658721912574,0.7433712503102894,0.6751949280577072,0.530761217567457,0.5471781726698647,0.5746791931697158,0.5812791256283265,0.6341540499254382,0.6152047169694213,0.6069300190493868,0.7548121049596013,0.8723875984538637,0.7629617600926739,0.8573157089482482,1.0084256603815487,1.2252095625765518,1.1215317770013593,1.3018630135450422,1.3035410871489232,1.3806802898764439,1.5397256135386654,1.2890983794843327,1.2345749569323645,1.0714490468234863,0.9899570134220177,0.9189838148748569,0.7383256686322769,0.9195760367490867,0.7352880386473482,0.7450119966578392,0.8643013497276635,0.8474305136478915,0.919833946298658,0.7221902589963209,0.9761265368091516,0.9676801878190322,0.976090265008985,1.063274617176853,1.1307642778551366,1.0637444408162964,1.1264896929630523,1.49352496117891,1.8675605032172446,2.2698478743080304,1.4723421981066533,2.6579076693545316,3.065979849262457,1.9278094271253472,2.189488002575719,1.1799211001732814,1.2554155478088938,1.6771571961940994,1.0841459613936373,1.2274352378681235,2.465924600312453,1.7931273376223014,2.0232420456531273,1.6654612246133058,1.3601368759208279,1.2281756872208374,1.4646394918715964,1.4367227500186104,1.252101695791191,1.4487685376790147,1.2237319448102306,1.378049677088593,1.2716763017964066,1.4098888417520052,1.689407283634381,1.406717880393304,1.5366187663117534,1.2383241109557603,1.7163681489974338,1.1815276040279177,1.0739454989625108,1.0389814307033587,1.0627273564560409,0.8771400456578647,1.0288331650561438,0.9906199190433344,0.784218533722774,0.9383952006127049,0.7764614422650917,0.9416124204938551,0.780447722379324,0.9865287488039735,0.9459143005903515,1.050885389915272,1.2835489229821417,1.0984291312599113,0.9075345288902513,0.859393140347528,0.921447145540368,0.8836906085116906,0.7277760156485189,0.6184112923729073,0.6994397243675097,0.578255219963422,0.6040460985691468,0.5433098359805079,0.5547154014678514,0.7892742692035779,0.612990368293938,0.7266081266004926,0.9065301552812703,0.7818574227405023,0.6947381965768663,0.6637035135430471,0.5193554081535906,0.48365179285176124,0.5292659166593217,0.6439288954006178,0.6734022395330356,0.8534761268526915,1.1060471660767826,1.3510800165200672,1.056682317055528,1.0871573816606817,0.8844754458321051,0.8532435428370497,0.7221518403760285,0.5741573629892346,0.4889983584755147,0.6746067339180492,0.528618992553826,0.6086374349394666,0.6231220864596673,0.6874885043837051,0.7531981984078059,0.693792130044184,0.6276274921137589,0.6412586890407053,0.7296382016016063,0.7221103016861925,0.7508300225259388,0.9889334491972704,1.2186444814679565,1.1990770778506317,1.2632749053307721,1.1268406135946594,1.022372672231389,0.996946991004071,0.9636129865439833,0.8665952212942991,0.6698381666954449,0.5193672217755315,0.49800125334001794,0.5760959939735953,0.5954326741127978,0.9380691176438333,1.3673499739090524,1.191362875801577,0.5847804324160019,0.5213466039920942,0.49567270944535596,0.5417544983996088,0.5254472227584733,0.5994232409538814,0.7546901672242576,0.8837016656297102,0.9077618845753866,1.0170282596940978,1.173369626064981,1.2711021073756827,1.8424331970331875,1.7343778606214402,1.4438351308386324,1.063567862419989,0.9365205958847701,0.8420675480813595,0.715176914776808,0.6353064655277553,0.5985946872765336,0.6212276950310478,0.6426077693721962,0.6980356189910096,0.6491065105699996,0.9957534835530604,0.6500975472941622,0.7450942336624239,0.8231643064537504,0.8479968912027314,0.9670086295611394,1.0351435681226693,1.3801227018948976,1.8319928315327696,1.6004782975982437,1.6713363126923741,1.4975973739504824,1.4722932481341964,1.2435784942188817,1.1546782360976098,1.524324453909573,0.9350305648557631,1.012442647025863,1.1906575487433788,1.045777538808617,1.1887392413021491,1.0376363626518268,0.9605526966893525,1.1947921920211932,1.2629625970483553,1.1662712066810177,1.2228987202668589,1.4016720221743801,1.388823883566465,1.4164389233357062,1.5377669043221107,1.6777489243654147,1.6812170806413054,1.9066532502923805,2.0532340664689532,2.001813867658956,1.9493263968876582,1.8044213295870393,1.659440342885611,1.7360823599615123,1.8746346904783084,2.1167639316912967,1.9888458035108363,1.753054060016221,1.6315389564660534,1.5979182474247888,1.4047254644695815,1.660183916488879,1.7946116308088917,1.5941270964393512,1.5316422472288547,1.8230007587871468,1.8127103217468867,1.6493602710240702,1.9641340248277555,2.3974654511415707,1.9883630779658772,1.8207152008772414,1.4430237895669904,1.0743786384934861,1.3169868970122418,1.2546269169005184,1.25148269103173,1.1917398095491656,1.1798659738044301,1.1601911849999167,1.250168245660661,1.1178532414594098,1.1247830247889326,1.191092824117929,1.2768795761546083,1.3093601598622524,1.3448057609262623,1.4681801547168325,1.528101439152431,1.6587798123353985,1.6128978952081683,1.6691128923282008,1.6104460151604467,1.5505440944035922,1.386690123984353,1.4995427066218348,1.6320371075603215,1.4877205398461557,1.4683570599877278,1.6897979353756543,1.6574311498313818,1.5538691614376337,1.8511126055661493,2.057826866378318,1.7667680333153246,1.8942731453080517,2.1141675743856734,2.1885441541095982,1.9911826928334295,1.7376993865853558,2.270713738438305,2.004259113836037,1.950075499516467,1.6348328119081066,1.44860418874182,1.4284840230862061,1.424212519231148,1.2937353064406514,1.5281902531999811,1.4119727118932601,1.3774066780405303,1.0129989242309276,1.0035831506802952,0.7891246887813282,0.9895208339842577,0.9797897963170471,1.128324639587894,0.9936598122089383,0.8357630238397913,1.183179798843941,1.1659397047067743,0.7157664128994016,0.7347077221388928,0.7840239474489042,0.7788976342602697,1.591416256998526,1.3201543138070455,2.4094627576781362],[1.352615392489693,1.1440336481275575,0.8518522297405947,0.5806400754444918,0.616558247072947,0.6138796727586533,0.6152513782638814,0.6044692452488992,0.6906140375878956,0.8034004804390277,0.8566116288939839,0.7881155417619775,0.8962005755768234,1.0177603383154257,1.1494165265836669,1.074730536124434,1.1655027492522434,1.3313438425459034,1.536381345849533,1.4650225475797964,1.629921595510346,1.642130685392696,1.6744507866971075,1.8393888688800297,1.5717971293644237,1.5476994060404543,1.419982004519845,1.3410582521093057,1.264663572193638,1.0825517898239303,1.2472261105146092,1.0612164276081781,1.0738605258786356,1.2184850352624375,1.2113650364804878,1.2831935561043533,1.0815550065910644,1.3459968796452932,1.340155525226749,1.3469230853413612,1.429739630877584,1.4952085363645011,1.425313445315093,1.467287083194613,1.732224522687797,2.078949837497238,2.420886429323359,1.7599566948848928,2.7556221516010284,3.142005380801199,2.1326810330069477,2.3582857594714883,1.4219305651302017,1.626873423454377,1.9340530647319705,1.403947427909971,1.7319313903009843,2.91560796123495,2.2298570713886536,2.454527033213576,2.07966064636326,1.745556386527926,1.6007255390078894,1.8152043094445212,1.7946917948534975,1.6136550040805622,1.756112823798879,1.5495216442468196,1.6529609322905006,1.5493042976420273,1.6548049452327098,1.9055080729459943,1.655245729467146,1.8058390165750997,1.5481087889272265,1.9821752135759632,1.5368621660065669,1.446650957416931,1.4236375119880633,1.4493757484420051,1.2801693424424778,1.394862666187378,1.286085434892222,1.0951607719901615,1.236802295015332,1.1597111168502343,1.3279099411150197,1.1515780006508765,1.3568324436001107,1.3176214051794597,1.3941066498433239,1.6010536095317338,1.4195352295250414,1.2224185859867387,1.161851228545251,1.1858477392835969,1.1481245324676927,0.9922899238226675,0.8492411469865204,0.8395886819605414,0.8658325929369912,0.7877624577203093,0.8394498233819294,0.6793698853182214,0.9967084824975272,0.6844460279252177,0.7376728140204232,0.9564891494064854,0.6957595756047246,0.6242292536947898,0.6072785727857507,0.6833985650797253,0.6857312017537818,0.8242705752807633,0.9406528148106769,0.9798129972154384,1.1778324838262484,1.4102903193299903,1.6493341558425565,1.3573773176102435,1.3560036272124378,1.1402927265281118,1.116465321893899,0.9898033227467464,0.8283673141295745,0.7604796598488274,0.658349366415028,0.6692354217707465,0.6232475926177665,0.7083536603055026,0.6460300660699652,0.6892096017252484,0.8338863341626751,0.7725281835365827,0.8357038311241597,0.9636095554520155,0.8616748534513722,0.9804423172379286,1.2499683980714078,1.5560707728100946,1.5237137774481102,1.573943780444927,1.4615587179125686,1.359881534453864,1.3517755286309252,1.307878955188034,1.2125670055337279,0.9796031688391689,0.815740779086764,0.7147483052469573,0.6730981401724921,0.6546679950749686,0.8148703191522182,1.3499666966018,1.266727768574038,0.706432982650142,0.7381924075054213,0.6617414098606674,0.8306303161172787,0.7385622969028274,0.9159674935391084,1.1097562260894853,1.233251281287286,1.2771583165413083,1.3667968895762521,1.4736863864681247,1.5450756435206032,2.0536499647074025,1.8906252185372445,1.6234037657733,1.2877879574471205,1.2217835922112112,1.1560505410635387,1.0468982611683608,0.9910332705044943,0.9325700746650363,0.961480874504843,0.9559320425397019,1.0595395164669543,0.9664454529965095,1.2994629757769538,0.9160570528224548,1.0472347336268228,1.1245503438067532,1.1486292483905451,1.2995072563058494,1.3557903858372844,1.725745015957152,2.082815585037137,1.8973056603118243,1.9911653825786815,1.7985734821869217,1.7380992836395819,1.4736276743746783,1.2180342693823951,1.4699311600813292,0.933831879992731,0.8896521318482091,0.9900181155048513,0.8298024770707185,0.9311134130907474,0.7751024667438238,0.7271803208637517,0.9216411557103424,0.971467148983412,0.948377688079537,0.9993128896899836,1.130906400491607,1.1202473987264416,1.2277903646919013,1.3306469867943371,1.4373636721419525,1.499600730225987,1.7431991724694598,1.8531900645470816,1.8042380567269432,1.687925362325173,1.5423982034664272,1.3720267644063995,1.4401155769326457,1.5689029739165197,1.8354677769552086,1.736028149429184,1.4625090421702438,1.3489366671924197,1.3095938028798877,1.1365878768850048,1.417573433307016,1.5200030860687739,1.3401645671857823,1.282165689079243,1.6141395341917584,1.5844747713445535,1.4116302137824406,1.803594683592925,2.192052017970344,1.7621760647166487,1.6545427644682198,1.210352548171109,0.8882549170720467,1.1048248578113282,0.9928900329818813,1.00877014982585,0.918192777072495,0.9762814137744199,0.917263677129078,0.9585449970025868,0.8697307660720615,0.9221925742901003,0.9241736770183295,1.0170196502464046,1.105126843083632,1.1258730769844838,1.1891731609663545,1.285235537505692,1.4969075879462674,1.3576302772436373,1.3666103742071183,1.299553192601754,1.228352815999384,1.0790052299430293,1.178626589601987,1.307127743249322,1.1785451816185992,1.163018312849764,1.379618533349622,1.3453747816681805,1.2643231905689691,1.587487040164875,1.7878834504325842,1.480609418017713,1.6320109606932163,1.889772371882082,1.9419062799161588,1.7348908905613696,1.466201320442628,2.0811028980447484,1.7724082660463556,1.7013894399353244,1.438643215592004,1.2193786208233894,1.2727180055941358,1.3049295633325624,1.0930274574293726,1.2840752764833734,1.134411056026402,1.1003052498966106,0.7779625008663047,0.7800080582116389,0.6742242436754189,0.7621295511929991,0.7541439713262378,0.8639858338327451,0.87450876686905,0.7099359548159214,0.9524531745364948,0.9008577138499324,0.6126726782010021,0.652642295050082,0.7032984156881612,0.7489573418736528,1.7534561725740072,1.4942780329748593,2.4399252599385735],[1.367586795296582,1.244710484296902,0.9705386577736512,0.7957143704896712,0.8288390746203861,0.8390126572100765,0.878567074423867,0.8724204022492081,1.0002261066821845,1.1399656057844039,1.2120116069238667,1.1284432033152212,1.2363510259780974,1.375829754859179,1.508621167169481,1.4463260594473548,1.5392180126216353,1.7301534062257515,1.9350202464702035,1.868561962107886,2.0562225128746197,2.0514350231059746,2.0800866155170277,2.2576024047087606,1.9457726357586473,1.9399936406161382,1.7866729321476518,1.705965455340712,1.6316827385786814,1.440064335033687,1.6428012974184938,1.4395142398578502,1.46708187704942,1.6087858813821534,1.5834384565312642,1.6632372553774735,1.4342595434569507,1.6747644758052638,1.667987239712887,1.6633605704893337,1.7565707324350393,1.8630698708220406,1.7957924085160197,1.7900503699284174,1.9638283858724328,2.3176826578366008,2.5390055624128594,1.9960149110506809,2.8852258473765238,3.1689006188736757,2.2532011615326852,2.5719318583758364,1.6265456689710671,1.924189165790695,2.2175872191878816,1.6724249557841433,2.045939270560872,3.292706554649984,2.5767849391851043,2.801111611966186,2.4928175627679643,2.1645593645782846,2.021796819360529,2.2701280159691306,2.2406008677135523,2.033059741884486,2.204627783304934,1.973718193092401,2.0801608056045313,1.959550673078936,2.065308951953994,2.3066644239301,2.0951038512433264,2.233967115716622,1.9744132572536566,2.427280188053874,1.9542042516790954,1.86252131413485,1.811983820522299,1.8225502909106566,1.6409491200757924,1.7242259714025123,1.55403618533156,1.3679998083914433,1.5208785889234182,1.4851140512318566,1.683626323737913,1.5094109773617153,1.7434190792045332,1.7034825907092868,1.7962670799800113,2.007543716494064,1.8170152582603833,1.6255867322636772,1.55012639372886,1.5627175821799826,1.5090696157020191,1.3691795942765923,1.2143606632998636,1.1570364486535325,1.209169926485222,1.0388562609706768,1.145899228762919,0.9624725643522275,1.2017400264699614,0.9312553458948419,0.878459634731154,1.0384567393416695,0.830113527372343,0.816371434838681,0.8273010818936436,0.925321113715372,0.9558101460963502,1.0818214525200276,1.2726010589645156,1.298968734637933,1.5358113554825525,1.7726274211169906,2.0592581923350024,1.760933720526769,1.7465695380877768,1.5185968318076006,1.4596586632755222,1.3085112284859657,1.1269200393584096,1.0037974079513994,0.8435097648585036,0.8878902813368931,0.8320873467322725,0.9245126832119812,0.7655076206129623,0.7916227932837588,0.95176605793329,0.9521751261157252,1.011676893709787,1.1628395109578544,1.0270746684728405,1.1594855826460368,1.4249699049545743,1.8180134756261774,1.8137349104937024,1.8494944841626133,1.8005520730685733,1.6713281549506345,1.6714039475017812,1.6189304506210316,1.5048353539643027,1.2825031128975317,1.1011718477543508,1.014664840690554,0.9255434230914538,0.968388347735995,1.0600747240643251,1.5550686949573387,1.42263349771294,1.0037816603219745,1.0507295151975158,0.9617002311216971,1.128339516395393,1.01536979300064,1.1920846589482428,1.410148115705333,1.5138890567839869,1.5579066518693108,1.5932584953919102,1.6847679920454444,1.7182724481055045,2.1707561694681075,1.9717227654788392,1.7721269600497218,1.4455630748376325,1.4334552375713407,1.3886167357300774,1.3002920204211421,1.2707708858498628,1.2028720905247086,1.2634691565255478,1.2268443675533236,1.3462419952652147,1.234067842682409,1.491297287579145,1.1633575803095462,1.2486406767532727,1.3055781991440067,1.3627238364223528,1.5505292099112278,1.632302169940839,1.9772543579297872,2.3262863937338634,2.1239325678376018,2.2037668682036515,2.0392408856165583,1.8864141677843198,1.5830768984963557,1.2190995122052026,1.4170655863175556,0.9225986202708547,0.9028408754697632,1.0228071663899203,0.927518703768943,0.9906415193059607,0.8982776947301103,0.8774613403772789,1.0151625598538365,1.0708059652480575,1.0968718730361822,1.1310565299994602,1.2481482298242832,1.261979705809043,1.3725620171815944,1.4472507286616278,1.5649394107810053,1.6454624884785294,1.8363435767604352,1.9610223644656053,1.9205896245651333,1.8079620796237366,1.66524685462226,1.4895764504196412,1.5594138968111784,1.6578430558614587,1.9513074742605858,1.779375116816976,1.5283380860733367,1.3875000133687774,1.3279019795431029,1.167130776545836,1.3759576177203963,1.5100982919770403,1.3439664072697786,1.2568760046381422,1.5676777774141983,1.5624563274912062,1.3899208510279226,1.7574129813794088,2.171944846291375,1.7613156252348883,1.6426751254044019,1.2212518848798217,0.9080484897662437,1.0974968574056885,1.025287418965013,1.04525633155884,0.9896675997069228,1.0720365024490945,0.9968003901114261,1.0666675112771489,1.0335331881562537,1.0425345592646746,1.0788319714186672,1.2026639649720134,1.3217231903846889,1.3122295367974657,1.3525876883778043,1.4735555274961158,1.6601917188507966,1.5249268625105763,1.5282336380552306,1.4313029627278826,1.3366242176032272,1.1919882262580173,1.2475295518516558,1.4000194786453297,1.285340318113184,1.227030682758808,1.444336329404141,1.4335311920554004,1.321785203852268,1.629504956387749,1.8477549192343894,1.5627322278283136,1.6805659154278,1.9295966546024987,2.023327232504966,1.8247506367842918,1.5837717469159582,2.175539605327982,1.931157720005656,1.8544991672564488,1.5751057303213682,1.3492071637896452,1.3737342203715142,1.3910205806317864,1.2286678815819627,1.4349593056086343,1.2734616363259887,1.201159723550741,0.9194867205652614,0.8929833713876361,0.8449371706548453,0.9036518343130392,0.8954478852714192,0.9754773678823783,1.0516527599899261,0.8873733085781889,1.067832914292777,1.063876675893617,0.837702610689385,0.8746863044115111,0.9245494410772012,0.9523489124689594,1.7216878361191532,1.5734600239231569,2.535880933963937],[1.403979163507742,1.2300249316781753,0.9338398417829793,0.76535510540955,0.7992995345367564,0.8552418245245967,0.9860898216001442,1.0002571756196776,1.1514756290273138,1.3544564336281633,1.4459933549843291,1.344019554854265,1.5176736544981047,1.6477331847132104,1.8090292830939316,1.7753626524339838,1.885095564858572,2.144039602594395,2.393708724885583,2.348596959791082,2.56773270844932,2.589896201426537,2.604238565298995,2.81678116385113,2.462900661700417,2.431398072116876,2.2693275865628717,2.150098266205456,2.0530581491619118,1.8246577896052278,2.0290659312752237,1.7936892446548478,1.8135148847926954,2.0337829281321103,2.000185274244713,2.099772635877649,1.8470202951773653,2.137689306982893,2.1448316277666457,2.173270558928142,2.2787442865059284,2.3844444666957414,2.3405075421686052,2.3407487920995758,2.4921423536357477,2.751834889291221,2.925926973973278,2.5555335004963577,3.129924359144127,3.391637901993996,2.6506980291491877,2.880752844002566,2.1117893369179797,2.454594396640137,2.646099633710043,2.233121273022193,2.7288087532555196,3.8571611002012287,3.1682886741537124,3.41429442241854,3.096624700779886,2.7200916565545827,2.5475738134729,2.818734011520267,2.81722986994486,2.5635769341319774,2.7072954493847488,2.450401248934911,2.5313257586616316,2.375768455129465,2.4867392460385536,2.7125987117788606,2.5326962768442347,2.7058587547328994,2.432956712836238,2.9084603012409493,2.461968335021276,2.366224929222219,2.327362644693479,2.3486147446494523,2.1507873527545813,2.215457548182622,1.9720232415047667,1.824638524302627,1.9594971088112418,1.9324080489618873,2.181833074713234,1.9635241073596523,2.2295834961420224,2.168750833374967,2.265691067800389,2.485502984553182,2.2477898408635184,2.018551465600854,1.9074957563122135,1.8911820733892952,1.8430408998467964,1.6978940737699673,1.4916369353792716,1.3904862390848713,1.5063515740513749,1.267048988195802,1.483589589711055,1.2011926531582215,1.4944200186838528,1.1346401630313543,1.0995315007238584,1.2874353386134456,0.9497601074363468,0.9129106395847044,0.9047207334209579,1.1307845055001013,1.1501375263492488,1.3437736665290256,1.5442545623187767,1.5898514297793416,1.894186041576618,2.185853768601245,2.5117697664794703,2.1585597783601407,2.094586788745323,1.8257481684813102,1.7426794763456495,1.5556774265520965,1.3289724005243821,1.2289148598600195,0.9174271220673647,1.0650507818768467,0.9788208863193428,1.147829797213112,0.9695361672962975,0.9916699583619587,1.2801990819907758,1.2600134075020526,1.3459865605139227,1.4682561936998306,1.2545613286270267,1.4469175271212966,1.7097395451492128,2.18146601409723,2.2569591491720282,2.3047570841655034,2.2582272360954105,2.102991989460436,2.1287499032731207,2.0346753494952403,1.886427606673173,1.609501728103599,1.3883970198335294,1.2265589443889138,1.081109571529341,1.0808331342925532,1.0812160561817963,1.6272350333908434,1.5919659677081166,1.1908513756682784,1.2846328551476358,1.1767124251833476,1.4266006483009235,1.283664985177463,1.5197172051373162,1.801440952873371,1.9178962531656143,2.007214228972795,2.036815497929754,2.0986641385831173,2.1169147791041945,2.541851857843428,2.262791019053223,2.075613894851294,1.774253178847799,1.7855590336419376,1.7721889591207376,1.6916825820593382,1.6698546041487474,1.5744693516064368,1.636480724331272,1.6028577070257963,1.7606201271560762,1.64212646405224,1.8745535858416364,1.5079169376059367,1.635345516758104,1.7235523699888615,1.79012592490031,2.0413059731061636,2.1229544643939615,2.4843347440932897,2.7649101112652277,2.606197412765082,2.670605254296829,2.5250269604620192,2.2529861271839935,1.9471594310693003,1.5507445414304177,1.629681648177741,1.1405692106903702,1.0284382221358024,1.008310455979328,0.9059080737052232,0.9138612739703813,0.8336292761364099,0.8216703034870025,0.9070194708562638,0.9522540239960146,1.0194610016870824,1.0364210379406424,1.1309665987482052,1.1609724666890415,1.3165783717909223,1.3836546705857122,1.4964879848043455,1.6140976522348331,1.814959008663604,1.9389933399063322,1.8789490756679044,1.7382441029373423,1.6079483111116748,1.3951527253429814,1.4677134190106764,1.5796141460809263,1.9146642640923381,1.7537513024077287,1.4826035847091705,1.3317756073788571,1.2531041225725943,1.0788746111919394,1.3445595497624414,1.4688146843451433,1.2731822852266812,1.2287375072270026,1.5824189138843896,1.5480974044116018,1.3581589848513311,1.7850212304330637,2.1630596729384917,1.7251178671748995,1.645033838021766,1.1677734361343146,0.9473976064596672,1.0813284692716187,0.9614416428867365,1.0195239752638074,0.9642038623184638,1.0861922710453542,0.9747708683521047,1.0149046374493655,1.0086962509119441,1.0655715892348296,0.9955902059409372,1.14079995906282,1.3078278469106968,1.2684145584129842,1.2770359865874248,1.425921948431436,1.653305646283989,1.4538167426175503,1.428069543636326,1.317953188773541,1.2137457438535164,1.0658319399004033,1.1185929711330516,1.283244911523434,1.1588045136935354,1.109511996171789,1.3473061882597117,1.333102771396258,1.2134165237823162,1.5633993832709323,1.8267227583950643,1.4847329083662775,1.5981253480733786,1.8957106565592012,2.001522079312035,1.7589430205837508,1.4880511053268488,2.147197324838156,1.8670493301201418,1.798032320043825,1.5051950541631944,1.2566627734860287,1.3231165407715466,1.3492218396554607,1.147542118536807,1.331889426719381,1.1391277199971122,1.0900815146650387,0.8418113666959539,0.8542650868240489,0.8496532941269607,0.8200794585296558,0.8501410677160334,0.8969880690645191,1.033588959811314,0.891686741741444,0.9777088589312519,0.9789472264582191,0.8698109475183609,0.9320018602481617,0.980655919429446,1.048672866994811,1.8945927168273897,1.7926053117397067,2.639747751678122],[1.358542147894587,1.2694007345505012,1.0238076834988414,0.9474527812828907,1.0021429943207698,1.0664316599067698,1.1956630454413777,1.21953610371844,1.3369653310928884,1.5101858855808818,1.584558198160656,1.5006966123074998,1.6489637568242945,1.7634859314056768,1.9039230560483764,1.8748744395825794,1.9741524769391807,2.182377135210133,2.3712744924263256,2.3291393740154316,2.518758463157832,2.513604013790807,2.5190774088041845,2.71587983730818,2.3676214604912555,2.3730774884288413,2.2343225795457395,2.157764774725101,2.0884665475420396,1.8975385492835624,2.0899503929860566,1.8901497125672975,1.9166595032899096,2.0816094498236093,2.051338510081454,2.1278662316371424,1.9116072013732437,2.1396887636692714,2.131090326317372,2.122723183846126,2.2037303461915134,2.32003536301702,2.2568755547586634,2.2112659023644885,2.3084748900551797,2.617367486203641,2.7446238883396217,2.3533999716970335,3.067914267697413,3.263665639782963,2.479204857830803,2.8584217085641437,1.9638760511167757,2.3632134319967277,2.641075540282205,2.081018398531005,2.5037398005002336,3.8077366220628384,3.053560170273982,3.2452877918052923,2.9815672064269316,2.640458626166715,2.498188644722666,2.7393838211367996,2.7288687608649127,2.5089809496892,2.667340434318002,2.4359344063104826,2.513611794482445,2.3909221759341666,2.482190687133113,2.676545809901441,2.517646816607513,2.65789713069823,2.4260440929356424,2.891580049399543,2.431720433778514,2.3465959487041137,2.30158149154044,2.3065327175840444,2.139918401925536,2.207287043229163,2.0018898282892943,1.809935704012383,1.942357526548803,1.952964127240787,2.1661920085644137,1.9947478526809117,2.2229186896103634,2.1826003338333577,2.271461228992678,2.463439533258692,2.2630828931178892,2.0681297525932667,1.9796269943608062,1.9618615382306115,1.9176930788595998,1.8043083655434615,1.6411266144342938,1.57118442616464,1.6517298159328264,1.4301234712318878,1.5963387475660893,1.3747743080606447,1.58424347699155,1.292303087574597,1.2311010414701342,1.3603305018410443,1.1082865875257137,1.1386059951658392,1.119429240045982,1.296387878230214,1.3395241464365453,1.4788138581177386,1.6865168012984462,1.6859990783948477,1.9594332243188541,2.201315999721431,2.5071923803909026,2.2004101546624395,2.1586448239417306,1.9258766788165054,1.8427571870130726,1.6818137572751488,1.4860821876982229,1.3643160189525387,1.10848564773893,1.2299634163050477,1.125424380143706,1.2946364932773489,1.0108663890476446,1.020880458464476,1.2730317813998357,1.324289213953137,1.3789365443925483,1.5492405475224218,1.3481238277212497,1.4871482539341923,1.7352869895756815,2.224613050426175,2.2033862629002945,2.2195395350048406,2.230559656524984,2.1025668347553856,2.1199473190807643,2.0651709912803136,1.9329810913996104,1.7160441301398877,1.5216969361409567,1.4072973778139737,1.282762425870368,1.3054991674428889,1.307648681434886,1.8141764012936734,1.7717630773544861,1.3929379992474527,1.4587459663865292,1.3643166262333668,1.5613448809400217,1.4231373592816765,1.6216830652566063,1.858298649662724,1.9466669056037078,2.0071337309384862,1.9981339167752596,2.0507821077233466,2.0589636744057365,2.4421640795750514,2.2207474820783455,2.081441456448483,1.7771762110375502,1.812114670626882,1.80030616651,1.7349403509989012,1.7290130159610388,1.659553762397593,1.7160545935567466,1.6786701497251633,1.7982991583767272,1.6991917216876486,1.8866482155873614,1.5940941066183845,1.6622180769063795,1.7016146767016331,1.7686370305298416,1.972487937213691,2.0547358061333556,2.3650483817044043,2.6554088538887246,2.4760412911962075,2.5541662476721094,2.4595672863049374,2.2117590028845453,1.901405614739314,1.4270262484341814,1.478119390571264,1.0249083842831406,0.9357186088388137,0.9582784675347091,0.9606823794098226,0.9320105477803854,0.987973897801533,1.007572085477687,0.9933892212448084,1.0644307207106327,1.252255973943794,1.1954428416295326,1.2288186147283808,1.3484882165872623,1.5112924081658088,1.5156766048734174,1.6229435360275906,1.805874566163185,1.935088655276191,2.013134309168396,1.9470322707853722,1.7628460619018673,1.5363210714833806,1.360774188704875,1.4451563753885772,1.4364032690173938,1.7706650965068647,1.5264542313268399,1.3806913844753839,1.1928952055906712,1.129658394775886,1.046829101233759,1.1370713066369265,1.2405325869783672,1.1319940910815074,1.031267966754712,1.2829781608485067,1.2902537491974115,1.1380795195994537,1.549198613092838,1.8755671574306614,1.5034041231084994,1.4814849127203704,1.0415604440331552,0.8861032878780538,0.9890398913998344,0.9715000851830928,1.0650529679248608,1.05822262144129,1.197667844105861,1.077083991736078,1.164019661091434,1.2298020917403796,1.2432094701417655,1.2389349857363159,1.4153758699562555,1.6000205730954542,1.5223670984251907,1.47936810937313,1.6737336412745527,1.9038153466236152,1.6518633020210838,1.594668021185388,1.4356890899538564,1.3051573781936983,1.197810092632448,1.1313261551083902,1.2662677349399802,1.2105803403080804,1.084192547330028,1.2179617435032382,1.237647495789434,1.120073697344225,1.3553585426103512,1.5670708574138674,1.3399026789824073,1.4245450172874232,1.6449346760536634,1.7659014268696722,1.5906876162448504,1.4112431407678752,1.9662412137345715,1.7883089265504033,1.69539469995635,1.495069460873873,1.3040863461114967,1.4357335339830188,1.3986088719943712,1.223906878477184,1.3572428866813837,1.1965943407286046,1.1276505805977022,0.980001975958174,0.9359394999186128,1.035525691662472,0.9729196388107189,1.0286641954347502,1.0401999202936454,1.2039805380918482,1.087889898876867,1.1021962039995579,1.1286191149444624,1.083829165236802,1.1322486494758264,1.1917388010520809,1.2222888802160186,1.9813753767755065,1.903969100677972,2.7300645623560853],[1.229376975668898,1.1354557929963345,0.8139978215765709,0.6792265784480958,0.7632529865507731,0.7642898818828583,0.859387453765767,0.8529634574282047,0.9456493326918235,1.1119394022000095,1.1603794462364079,1.0851460846878456,1.241162264039727,1.339268943544566,1.4655151993509763,1.4350911236555821,1.5512476713954069,1.7241575568208243,1.908801598060537,1.8787852297489958,2.0369602011943204,2.0506082184008996,2.0500988171647934,2.223197711176889,1.9533688183941276,1.93832246907944,1.8201515475028052,1.7447857977102348,1.6655142866406392,1.4800341505083654,1.6223232297047752,1.4542777074384998,1.455857202495263,1.60490743347157,1.6045995213588395,1.6847549239163297,1.49024966030462,1.7337828043134826,1.7413707167505645,1.7471709273463663,1.820916834098478,1.8907448780662586,1.8202288989507538,1.8091046805208626,1.9568006775063786,2.326336626541123,2.518245345221844,1.977646573978618,2.9205494600560336,3.1831439331846423,2.26336768294463,2.6248235142303336,1.670849787309314,1.9798222633776004,2.28470445825737,1.7133949762496148,2.0671844867712106,3.3360851482721214,2.6075202828247193,2.8029809205079657,2.4914648769752894,2.1461127738712116,2.0041311749501003,2.214633264544428,2.209416875076385,2.020641114234877,2.1596899272588077,1.9423190071533312,2.0163793591769528,1.8935914237975384,1.9839653400391302,2.183564076440869,1.9888399185475236,2.1338179342860495,1.9170167634796127,2.3639931786561035,1.9317591278117012,1.8434905448426329,1.8257640764265057,1.8460390365770076,1.6992676110929623,1.7985518184285003,1.6458496257074153,1.4538846939652468,1.6106790587118658,1.5694399674301827,1.7431115928540903,1.565324704009705,1.766839865746898,1.7119349884471415,1.7809578209491146,1.9609760273812924,1.7671556948031792,1.5786353342868014,1.50842852216789,1.489716609816778,1.449925934969149,1.3462410128646558,1.1994466285325047,1.1477707898865328,1.237705461001925,1.0830725927931213,1.2227200058269452,1.0383419163308611,1.3326649159711428,1.01826604807251,0.9794672221088636,1.1630348252740184,0.8987853021764305,0.8596994404085615,0.8518145324255677,1.006939026511594,1.0125727882608322,1.1634516696805801,1.3133123068403156,1.339871835194715,1.5664744098829384,1.8189320810588876,2.0451897862373,1.750272328670096,1.7254514339151366,1.5061420096637437,1.4745285022941887,1.3360929803832513,1.1508754215461945,1.0817550239225469,0.8438395956117942,0.976821415296775,0.9058490717917287,1.0542176178102176,0.8402586961987271,0.8561364021882761,1.0939053202846838,1.1052963055607077,1.1685995068083628,1.3176460136252064,1.173883446765989,1.2887417612968473,1.5312524593752368,1.9458779824596049,1.892413638895922,1.900123981203576,1.854273240724668,1.7540683526940575,1.7559359240354513,1.6983235758589474,1.5902389241780812,1.3665142190928927,1.1867234849242498,1.0484255733095165,0.9546659322650399,0.9328676746874781,0.9908001924654383,1.5273938717306823,1.4504286691781323,0.9975894995325167,1.0657547889527714,1.0009191352932632,1.1916361208716748,1.101103603834394,1.3110001119050283,1.5075384322847003,1.6298488915495222,1.6742910607816173,1.7214672749734248,1.8119974699377441,1.853799093259746,2.2789869010866637,2.100526606371489,1.9227197449431201,1.5938079980659436,1.5814862536226266,1.5371291910228941,1.4349169412583893,1.395451822129744,1.3306880107298487,1.35446343586243,1.328183399887808,1.4555134663401734,1.3694221835384461,1.6042002137465592,1.3138185842220098,1.4104898237803647,1.4555979394519831,1.5171651353410298,1.6772271017896248,1.73119024435516,2.0573035705610114,2.381402729740233,2.2077106753126565,2.3075399738908313,2.20515208742462,2.0284107994337095,1.7458312757680696,1.3410089020757903,1.4620612670542659,0.9404355134848918,0.8632611653688994,0.9171081121246941,0.8510274410504549,0.852602157667201,0.8246755556784291,0.8273638957115372,0.8808907544612087,0.9263387316433339,1.048833727412371,1.0383970747229994,1.0900483814208288,1.149822834099604,1.2982481894848836,1.329689228131574,1.4208806663436075,1.5635330492117099,1.7293676009979362,1.8123529988433513,1.7823640474371665,1.5846577694126025,1.4191310100223953,1.2498514495163657,1.3147273626409741,1.3554844836479567,1.659361480145202,1.473579163432363,1.3026963259643756,1.1469442076651917,1.0890455278216364,0.9935499476630892,1.1365798574801915,1.2379022932636308,1.1173936332915342,1.0362703065058367,1.3046687610242604,1.3049233655309391,1.1596270686986894,1.568349761246201,1.9003379905587552,1.5295736390364654,1.5065339748492879,1.0393253397553115,0.8263574703363767,0.9629593463474683,0.9009817172769844,0.9576591057241077,0.902446869344613,1.0491618864885117,0.9365640557747791,0.9803904727049244,1.0092714338948392,1.0384711949138186,1.0237305095923868,1.1575852946859577,1.309889499344243,1.2711615094629252,1.256731184533599,1.402698270186639,1.6305750419874592,1.4149523847328809,1.3733588573032705,1.2508533916181614,1.1436370401472296,1.0407598611122622,1.0268725694881127,1.1476710476821068,1.082971833458053,1.0058641058106268,1.1647978396188046,1.1645562405820455,1.079847521971469,1.343833127416677,1.5341697138177148,1.2963066719496548,1.421307166007892,1.620315840779947,1.7163897151923753,1.5515344567141738,1.3548207086734405,1.954533662897299,1.745069988355708,1.6043201577224464,1.3924563783816586,1.1796322426328254,1.2745736883171166,1.2788764241745734,1.1022506444068854,1.279293154092095,1.1363606782445521,1.061511151941609,0.8442272835756411,0.8179429508994213,0.8413733917493665,0.7788068681854572,0.8105783647789033,0.8319070925991859,0.9684501576053324,0.8232489294880544,0.907569704289214,0.8931015340097741,0.7670373087307528,0.7904493134701666,0.8284993438258346,0.8970256637354188,1.8295936357359603,1.6523984767365483,2.5316137306468445],[1.216874455061744,1.1243812742860053,0.7750887497226615,0.611964305791931,0.6775979124893996,0.7266358664438483,0.8970082318149919,0.915443343412037,1.0158152175967103,1.2400290679652555,1.3191848674933073,1.2368219213783271,1.448227842184334,1.5315402835254182,1.7192300835165952,1.7050577788938308,1.8179799247991157,2.0570073161473803,2.2840189958915706,2.2720838687586213,2.460441123362284,2.4957110632158934,2.501165778055912,2.688527291786689,2.3698794090772655,2.347775242455289,2.212098903135292,2.0981221780835164,2.0031018689295057,1.78889354495274,1.9463328698422853,1.7473710454297762,1.7599538555129457,1.966074648852344,1.9660487305868493,2.056338139403642,1.8309744195106086,2.115837276154318,2.128023995401846,2.1656788065140313,2.2468508751913245,2.3156674602328366,2.2384977883201302,2.2247936420311767,2.341400448679043,2.6438460957534287,2.8104697203722067,2.415887264563494,3.0771206576932695,3.374564435497226,2.5965477679177162,2.852995036009462,2.0192168372978525,2.425771337084083,2.599967887234097,2.157505563372477,2.7350487783175383,3.8704319690761593,3.143139385520601,3.3611973627134324,3.0047157350425078,2.620049263545961,2.456872291534302,2.6888591612981383,2.6878033394153182,2.4623688553286422,2.5715342798362264,2.3335698483960527,2.3804602438852123,2.216708699353163,2.2956591306863543,2.5003150628322643,2.3223062649961586,2.5102408093836788,2.290345525173295,2.732109752641836,2.351555665384721,2.2707773873698485,2.2602988619862248,2.2966827143458874,2.1253449794538795,2.221913644727267,1.989962854691478,1.8292755754963195,1.9644864703108347,1.9447447927288033,2.154997375600178,1.9485094031143382,2.1722701607626322,2.107889231980761,2.1691844754961958,2.343549630435433,2.1252413733443616,1.9072551320014357,1.8032838665766269,1.7589133346315375,1.7014119518255153,1.6092310367138407,1.4156337913571986,1.3143185908533188,1.4857338294114255,1.2897279897256644,1.505230635787692,1.2209089570721587,1.5865531995573305,1.1687237032638946,1.1617672323146537,1.3291537820144033,0.9478402270533224,0.9231804782610076,0.8734721802144927,1.139947183654691,1.1289611577926988,1.3392960116102455,1.492020844420495,1.5367849939121863,1.83593814601842,2.1162223019762023,2.3979956729124416,2.0558470439554437,1.9768530648353837,1.7035244630015882,1.647894577977491,1.4893561611456254,1.2665756908456927,1.2158846272056618,0.858185346515399,1.0558372600584331,0.968525578919601,1.1713987477377545,0.9555323265572946,1.0031594183626251,1.3112888641273168,1.3053091572172582,1.3646533933813332,1.482212182831516,1.2423072899398986,1.4258820976499598,1.710416367909328,2.2208279411047367,2.252764750990806,2.261349597751354,2.217480457630489,2.0873469591135363,2.1119241914382774,2.0241793014056357,1.890866944364971,1.617184932554643,1.3924448167149033,1.198543313128124,1.0702914622464335,1.0073943918281367,0.9793878881631062,1.4996334168984073,1.5302122329426429,1.1428205867629608,1.2535353018801214,1.1721620720970392,1.4313908599330527,1.2990632833530626,1.5481871315830398,1.8141121136110083,1.9321943475119223,2.0211507592735294,2.0518750080433517,2.108127867374059,2.1362142764917893,2.5381559794940975,2.266703510925806,2.074238489200669,1.7803553395093992,1.8022079303591725,1.8008494322596453,1.7226583242677314,1.7043939065150828,1.6273263224194132,1.6569502114214658,1.6526684033398402,1.7943911078447872,1.6901829518929286,1.9174107483922096,1.5687528976080611,1.7099351919880177,1.7881202240592977,1.8348424095862872,2.0613238606045283,2.125578728404847,2.4891066526585575,2.72824488331196,2.6064229210620744,2.6972875538703627,2.5363621622042603,2.3095694216822777,1.9791519003235887,1.4985412634293298,1.5507891091936326,1.1297609529931425,0.9997332764503085,0.9338570071262418,0.8390598474693842,0.8327805916737835,0.7651459354727396,0.75925647060321,0.795591988804763,0.8204915179418197,0.9207281032799416,0.9256419932063589,0.9763696664848565,0.9928952948952868,1.1643545589100746,1.20180908416626,1.2671313000288886,1.4165050188120223,1.610855210530227,1.668573465911048,1.648200110101493,1.4521300860525561,1.3895526566952583,1.193039319498612,1.2433112873704941,1.3334237317849862,1.6276266502807026,1.535450458023105,1.2742421424543764,1.1618009810170002,1.1029312115145644,1.0162935238951916,1.2306990898075003,1.2988206726692606,1.1608364571978438,1.1297512185440512,1.4367317210533914,1.4074092182875027,1.2501334077729136,1.711474196839334,2.0079549828792764,1.598092283372905,1.5673690671543679,1.0810154761669584,0.9209800662366612,1.025313733470503,0.9144003829739032,0.9727577314029257,0.8775614308332413,1.0376739318808241,0.9207092837764705,0.8894962581077637,0.9426798045740127,1.0126575702556468,0.8942471503067977,1.003169149476109,1.1627126160309063,1.1148640299119357,1.0907369024672793,1.2181980330919446,1.4663299609606906,1.2341121765707308,1.1840942025257526,1.0935400349245326,1.0193927306610575,0.9286936560938249,0.9498885159260365,1.0659466328175877,0.9834932242332041,0.9544275906944995,1.161218480408907,1.141273478105393,1.0671437092426823,1.400719950787911,1.607080513713658,1.3095869093553179,1.4595814133900136,1.7560416782729218,1.803800923105374,1.6072333607548759,1.3603197530797089,2.0670316807306586,1.7954549163989275,1.6375957563117443,1.3989739951946165,1.1227322912460171,1.1922207039952524,1.2638881738429166,1.0379188313201826,1.2610805159234708,1.0310373686064846,0.9825987435159432,0.7555672091141823,0.7762143795969253,0.8007072470245162,0.677716058059018,0.7377765928192704,0.737761544420272,0.929538701264305,0.7701699073089359,0.8181190163873671,0.767545303720777,0.7435998507941518,0.7396348584063073,0.7818418989821839,0.9222489732736714,1.9969247325629995,1.819797788409382,2.5902998111022764],[1.117383380913414,1.1316770553338027,0.7903791153872688,0.7775556072694617,0.8996262086535244,0.9916927362844914,1.2464293206746713,1.3086453239503741,1.412479478761859,1.6762304961863037,1.7752972206516453,1.7000139150747522,1.9084947419231755,1.9824425523418823,2.1723446947146945,2.1822643526242724,2.2852911714892343,2.5368651062080114,2.7373849757667075,2.7338899823515193,2.9148999702668807,2.9330127718625034,2.920443391058935,3.1035442783449345,2.7764345644139703,2.7737024592917936,2.6394951619007543,2.5449652300226706,2.4630078564947606,2.2605217213545474,2.4345847093423254,2.232286542397774,2.2569710205679705,2.4557379854508454,2.4540730280231995,2.5342538405467954,2.311345294212474,2.5527826455152733,2.5496000281605524,2.568944048526409,2.6392172472821267,2.7400658430618203,2.661721351185348,2.6120035637032077,2.6654186699274707,2.9348969504115905,3.019608288479135,2.730187535557794,3.2891680453910226,3.4614836851313,2.7956291982266936,3.131233215165268,2.298080100647396,2.8097063295988804,2.9924933991494203,2.495678978526478,3.105667964612962,4.354281737494438,3.570438565532117,3.7527438171442977,3.4559011327731257,3.0840013127660044,2.9358651265991877,3.146245418837766,3.1618292124286635,2.935817031831022,3.044467311784874,2.814867010438656,2.8464573688698724,2.685769444643624,2.7536195144781677,2.9267472404520065,2.7889253396666223,2.9635629851697582,2.7733057726761157,3.209653791465843,2.8358404900588967,2.762722661870603,2.7442987157786933,2.7554264017031342,2.582205176988216,2.6538146025265323,2.4022822506416586,2.2214430314891866,2.3594613371897233,2.3788828607279613,2.597069726593201,2.4268699818085566,2.6451343142194674,2.596401096637147,2.6529181954270173,2.821025274093281,2.604473705296037,2.398137415750733,2.287805487732152,2.2313140806361234,2.1637147869397815,2.088699255089597,1.8906277923220507,1.7859961703209684,1.9529776400247085,1.7159718526823053,1.9544895211874864,1.6524991855298903,1.9633980499396126,1.542826568278438,1.484287056498447,1.598629414392542,1.2284694504040496,1.2613207079171416,1.2103706327934114,1.5043830287084157,1.515938596394696,1.7100689272937932,1.9201801712591255,1.9347675453054332,2.268464776317498,2.5396373726712063,2.863754237906653,2.5265916590286284,2.437611969781879,2.1445363630118854,2.05392795774554,1.87952264645821,1.6429402699222557,1.5489763060335713,1.1533368696072006,1.3794281721142407,1.2641383546334954,1.5087994184413642,1.163654070681025,1.2095508439679246,1.5575511546687606,1.6146274327350232,1.6538642858442252,1.7885898899596149,1.4753630909244635,1.6721317549631929,1.9496749078741327,2.5670763741003175,2.5891949884150147,2.605892605738437,2.618686224957843,2.4791811553312666,2.5152514931439023,2.4430201006842194,2.2944093905686276,2.0431703189977974,1.8073260070138084,1.6159101857145457,1.461017042764358,1.4234436281887133,1.360465752672649,1.8027590198921357,1.8909808257936354,1.5940861329528138,1.706951946030755,1.6068849484896313,1.8769253143936757,1.709013811803087,1.9494833378542096,2.2342351810420857,2.3138923049992988,2.4067833647284713,2.3764169983178514,2.385986476450176,2.385050084513489,2.706444257040125,2.4332577477611204,2.297296394102758,2.0262753920811476,2.1120473002841824,2.1451143681662113,2.1008557201447893,2.1138893028317027,2.048872250344579,2.0936839894612596,2.082925592355455,2.21296059430561,2.1005405093883636,2.274412509644149,1.9481296536527009,2.0448239481261568,2.093132230292004,2.1580240248099,2.4070459520390917,2.491110182384459,2.792027810432149,3.0045285072900447,2.8715199516646135,2.923845756681551,2.859311041541171,2.560906601566143,2.227166008274068,1.6614192580321376,1.6060843345603089,1.1782218520439294,1.02215085412312,0.8867993303206035,0.9016904793324391,0.8057808106186819,0.8981713302135667,0.9221030420232527,0.8064077983380115,0.858112687694299,1.1019052702397176,1.0066567367261847,0.9867900086772456,1.1194147960958625,1.313122204786928,1.2744580485763202,1.3422372064977193,1.5750063780364327,1.6990085918120035,1.7272274744538283,1.6740139406364822,1.4329457938971195,1.2771307958826967,1.0887481597593704,1.150142456363457,1.1548079243359657,1.44349874073965,1.3080960335911513,1.1475847053001855,1.0125182240023114,0.9386825230407894,0.9382922943680665,1.0126304433046032,1.0503929625388233,0.9842718456206895,0.937778502547287,1.2001990983470692,1.1790475939056233,1.0348059856144427,1.516317397211128,1.7579557144210864,1.3772014149785772,1.4269097513248066,0.9246284529798522,0.9389964957410394,0.957046214500875,0.9033309859167097,1.0524609050428795,1.0170189163243204,1.2136186399260327,1.0516008920768118,1.0065746220196952,1.1838542680142694,1.2434922485824467,1.104354952767978,1.266805863877667,1.4723449035065317,1.3588746404928884,1.2634894889527277,1.4626846340695963,1.7213896301998293,1.3924382766824466,1.2965075358548055,1.131746190436969,1.0302131971239339,0.9828170690896754,0.8643521010072962,0.9597866792389284,0.9383087670905897,0.8523018823784443,0.9637388485467281,0.9650038419384481,0.8996579000121664,1.1668012484309342,1.3708535191598126,1.1195165451678661,1.2407878384930175,1.5065520245466804,1.621138420479054,1.4316759463143178,1.2289669995254928,1.907047033415778,1.685682522272312,1.508106307096109,1.3199510002538404,1.0889663806845797,1.2460108700685584,1.2421768217017006,1.0236625916556212,1.1975900769177614,0.966390202984003,0.9177980333789907,0.8378354289438158,0.8384318420654444,1.0123708076174929,0.7699120418409522,0.909487458523212,0.8555747646614474,1.1181962727294696,0.9929563232439181,0.8724766710653761,0.9255530054958351,1.0415680564152967,1.004786989531751,1.0556866127359685,1.1952262166856997,2.1997980415870253,2.0758293108737385,2.8461768651276222],[1.0116443736401273,1.0932811418820139,0.7929977028116364,0.7447861204929387,0.9024907036226015,0.9309651865145255,1.1395787926832839,1.1696508876727156,1.218918282032301,1.4212537017905214,1.4737774570603397,1.4142683631689597,1.603139390746116,1.6516104798695626,1.7974871670722468,1.7993992198246387,1.891311584853555,2.054857979990198,2.1864828536993812,2.1882624853736203,2.300275893073797,2.3040865831202884,2.260882840437267,2.4323948282298735,2.169382920989547,2.185255122399595,2.1260834789442677,2.086051201156186,2.0244957795721197,1.8719776557585213,1.970846982912025,1.847431750927771,1.8368657244751811,1.9838362799384532,1.9977789586981967,2.0569522473926347,1.898477802899856,2.099199715261198,2.0938221743548957,2.100223377098885,2.1359245885038467,2.192498384597675,2.109492592497825,2.055218388605122,2.138300878499545,2.458012734174509,2.6025502925603625,2.1727960525901415,2.9460711222655607,3.111928885892503,2.3268248968986347,2.7536573257808925,1.8653567639446522,2.3038528714187265,2.5786409057226525,1.9636334831058664,2.404730771007233,3.749197631423089,2.952713108803058,3.1014326219090447,2.803145929439778,2.432841005772004,2.3093710943572634,2.4678038103019246,2.4775321973573714,2.3243771669329245,2.4146761282846434,2.2380481540593102,2.2620853669548215,2.1598435827888762,2.2127031084092157,2.356646185307642,2.212174366432369,2.346934818754457,2.1986802535318164,2.6193632605396115,2.241451817010041,2.1749830513411914,2.18139418512569,2.2045432312266184,2.087615680764587,2.189075411442511,2.0347860421703734,1.842789703834724,1.9757073590330914,1.9682550942820394,2.115790961461822,1.9671316428114354,2.1258073166699485,2.0818941864274936,2.1201185460849103,2.262067743474225,2.0847795856373366,1.923304752131539,1.8520990649152351,1.796123103158592,1.767220573404708,1.7173015558197806,1.5722539585651547,1.516503374167758,1.6465652615490018,1.4948056220245465,1.6703494835477546,1.4439961757300441,1.725759684707578,1.3751748677008941,1.3628507825894316,1.5069542734585268,1.1987638245874048,1.1945082423551014,1.1512976168195699,1.370128639741723,1.3720152651504591,1.5284686205968092,1.656378764325204,1.6589980911029003,1.8919386998101715,2.1167094672059923,2.323652443751154,2.0509515757876886,1.9991299762733834,1.7940596779515365,1.7574282271626491,1.643916994454304,1.4677864605184665,1.417362878484813,1.104226491892768,1.2876238303381893,1.1949877401413387,1.3845110903380495,1.1127486574306962,1.1380593336899278,1.4018898484948652,1.4437870877907615,1.4789603809291951,1.6275533561583588,1.3874333092381455,1.5181369642382976,1.7486860707671414,2.260381783971663,2.1489325944788082,2.122552680591173,2.135400715446442,2.0743457369579485,2.087137046483908,2.059780140752882,1.9569051911405637,1.7503836070990595,1.5760358096682412,1.4168420074692816,1.3120196551581977,1.253386213938807,1.21369984133499,1.6762563340535388,1.7154292855027558,1.3784973851305289,1.4666786530654818,1.4037099681204384,1.6087512192243414,1.4993943862355361,1.6941284614016827,1.893580945443524,1.9727791885105372,2.025210891539705,2.026933030780377,2.0309306107410565,2.079709708965508,2.4105410385007446,2.2176924467408865,2.087640976744208,1.811660478190846,1.8577658612332086,1.861251760176928,1.8006495576284105,1.7968173897168678,1.754113096322613,1.7802222849370335,1.7687854843998223,1.863926530263834,1.7846170813677211,1.9633332295681296,1.6947049468934459,1.7691978878640355,1.7873952007032246,1.8426958331233367,2.006135544302741,2.0560470545877454,2.323866568339574,2.5692093050728917,2.4346581254531574,2.520330562465541,2.5157082586133344,2.2779355993377086,2.009401854740789,1.5426213368399055,1.575294737728032,1.125248588497974,1.014259808619745,0.9258976253301513,0.9406062502825236,0.8404848958566354,0.9319492439550333,0.9471024125192369,0.8363901839743959,0.891456972177267,1.1299563363444989,1.0254767569802838,0.9921215146067266,1.146755835874832,1.3232686685540134,1.2699105214855682,1.3332827231308968,1.5788867818948853,1.6793878424158055,1.6830667350617898,1.6285933799632832,1.373754512706416,1.173289633092467,1.0250693379505635,1.0876760144891977,1.0565368028152393,1.331631098706844,1.184833627037949,1.1430121173783439,0.9816131478341192,0.9225728351640248,0.9737922626807033,0.9805762838122176,0.9820837868205233,0.9627422852084453,0.9176691429260393,1.1241033926042483,1.1139596297856262,0.992687156204929,1.4570705263812256,1.6499929351961022,1.3143944205937548,1.4343812000362741,0.9321339627933074,0.9478489903372707,0.9696024045701749,0.9446574668152915,1.0864436688416066,1.0733786154863054,1.2534445723511543,1.0888317235427716,1.0578117735452783,1.2312391319072222,1.2720548607243845,1.1452014662954653,1.3002917271643761,1.48547325646831,1.3842381058485902,1.2979237485959398,1.4869431452117985,1.729682207658623,1.4144044171438177,1.3164132017491674,1.1385562281383013,1.0495521827700158,1.0172032760301528,0.8786235096042444,0.9379419627197182,0.9385399012329532,0.8562120192085214,0.8969598989385347,0.8989622807837997,0.8723523293389384,1.076278776689194,1.23181518866736,1.03003044495892,1.159379075140448,1.3432521246711653,1.4719344493823618,1.3121380351362666,1.1510209366023794,1.7525306088391839,1.5783911093744314,1.3771638028279414,1.257011779232805,1.0654907348016376,1.2330379910536198,1.2225251336987693,1.0085255683599603,1.1844242985087257,0.9718137984489599,0.9261234621017513,0.8707946079524663,0.8810627323398049,1.0050344687157569,0.7977718532076926,0.9255494499152789,0.8745342323596912,1.1043277778649723,0.9829834998898022,0.8559752331842394,0.8665515521378979,0.9728917463082871,0.9280433297621576,0.9576403540970801,1.072089021896769,2.142699433867313,1.9961281103418425,2.7389326630589874],[1.0372967062795524,1.0137603225626812,0.7543676848809313,0.5743209519757985,0.8075513701426148,0.7830911524232795,1.026689189648799,1.0708982739705208,1.0935219929782563,1.305236425070946,1.3523843481212066,1.30783983206001,1.5046842857355733,1.5190424582091466,1.683242339077001,1.6916866690784589,1.790612581606311,1.9478459196745426,2.084358218478552,2.105457506466161,2.198580437778045,2.233605645124305,2.158838182251515,2.3128619831823345,2.101249060531057,2.104208740950751,2.072881536211067,2.026947768334888,1.9554311645717013,1.7964690513724952,1.8667855124016182,1.7589005058773781,1.7414417142609544,1.8957926538057113,1.9232087763859524,1.9819139572314952,1.845402765728384,2.070156227287913,2.082232972195777,2.10846363323675,2.1430410035849823,2.1492556442046133,2.0527741197041403,2.029683210051092,2.1239067867590222,2.450181251332193,2.636471035769194,2.191084356459776,2.999723265051595,3.2637780498232147,2.455398341116952,2.7580893508980413,1.8812461726329122,2.323970842486233,2.51796380276825,1.9748059027993143,2.5376333469121044,3.740209778226296,2.9658225393979336,3.100550683110194,2.749491160581869,2.355841404743949,2.223399868761356,2.3707941046906513,2.3812395552223946,2.2324469264555673,2.2791266760230378,2.1214322674485526,2.1295059034152923,2.011498458310211,2.0544146605567133,2.205182835820044,2.047138607977137,2.2092558094427273,2.073705561379572,2.4915044783078484,2.1447792282710245,2.087585222865764,2.1122245857767443,2.155929462898267,2.063319590344099,2.166440677788195,2.0197851931383655,1.8555275580992026,1.9767563482835517,1.9612647015245865,2.086339773815259,1.9290596779601208,2.0581029396260733,2.002768422713146,2.0284612453477124,2.157446880320995,1.9816386584128287,1.8134908614975136,1.7423346569590341,1.6745977029487524,1.636127342879956,1.6048515842703266,1.4671450242368054,1.4240946329582163,1.580294931042868,1.4495204545075913,1.6278913634833465,1.407253889309591,1.7976569933909667,1.3845030533616942,1.388705643623489,1.5264301304128536,1.142824117540184,1.1576810115164744,1.0859318564133134,1.3516689635242438,1.3088311943839663,1.4874994119659983,1.5652649992342964,1.5855169562605242,1.8099348884157622,2.0429922391736963,2.179099163932273,1.9228181112461216,1.84498080141471,1.6520713229693802,1.6375238824115725,1.550943009336224,1.3746748363549923,1.3784337238743154,1.0165294873069577,1.259686257659075,1.1681433922518811,1.3881704636421108,1.1157258478576737,1.1719631314520842,1.4726762490460974,1.4909666079224662,1.5278441899682873,1.6428022500111243,1.4038098412870617,1.5580760801107145,1.8183757715153905,2.3168353019360786,2.217820407358645,2.142786420816484,2.1238299522162376,2.078474213877791,2.0886064564836304,2.0380093686901835,1.948530053617451,1.7120163688332803,1.537936485115771,1.3477753210215557,1.247118294241594,1.15177428903763,1.0941353787444394,1.5487108234055091,1.6303402385463737,1.301081021660666,1.3921418468244449,1.3474076078462967,1.5549317130179652,1.477551470905508,1.691780494110326,1.8875961539914876,1.9946784788697853,2.0549149513764258,2.087193812985184,2.118427815207463,2.1774252102267972,2.519165072405907,2.3083128516455735,2.1426677474542655,1.8824663297739181,1.9091554220695022,1.9053146474688663,1.8362214216768808,1.812577242124041,1.766991629483067,1.750604332759024,1.7667908222492514,1.8808960763736584,1.8104370562948195,2.007927341178735,1.7407935715018907,1.8519699494010462,1.8896707585715875,1.9249854488155658,2.0715653616768597,2.093923702933351,2.408171206251376,2.607542720899777,2.5290966754805084,2.6320735764528678,2.5594094536211482,2.3721139007725442,2.0878257797152004,1.5871945870837434,1.600275242454537,1.1832122452464293,1.0473456333196358,0.9038718903527065,0.8844637952469525,0.8281828741354799,0.8766500355480982,0.8863007057062026,0.8076445644783243,0.849018718925656,1.0709576173393087,1.0013303457812601,0.9698001911904471,1.0752142427578484,1.276867902751271,1.2531673816926365,1.2875793985646848,1.5140471095198929,1.6655004217253335,1.6559081051920561,1.6119417808676009,1.3509502518498617,1.185408707638504,1.0220623401315547,1.0750828438973252,1.0569889138473767,1.3269235798788868,1.2324124339785671,1.1431666837884884,1.0320543278782845,0.9529955242706365,0.9480974191057445,1.0319027898383653,1.0362935327990341,0.991501216801945,0.9616264491256332,1.1973833528200717,1.1659810322896815,1.0482663677824369,1.518968826507324,1.7038700887960625,1.3410717863964283,1.4227152691199902,0.9445678209288481,0.965055097116474,0.9815503074896489,0.9288935175052758,1.0393284818568727,0.9914356290468741,1.1628470480315198,1.0212775839690607,0.963818283098602,1.0882537891306594,1.1679785813121786,1.0384295603551772,1.161258001765974,1.332114014755058,1.2648397288282893,1.1893507476033047,1.3441081048106445,1.6090366168075434,1.2994953650223502,1.1875726590176277,1.0557067462759657,0.9915382690068292,0.9603610281724348,0.8617008513681251,0.9212753387429735,0.9075740940010549,0.8533792228867386,0.9222924587818716,0.920628088865948,0.888869328058914,1.1329768621618872,1.2701398800451347,1.050538372517978,1.1869745630062671,1.4220971944964598,1.5015567553665947,1.3326598696996297,1.1431991331274547,1.8000617634916947,1.581091583601134,1.3870751018602703,1.2776488476955377,1.0718829190758015,1.2690758386689696,1.2955314378771796,1.0351610140268588,1.1431191065419377,0.9043840316497549,0.8839558758166864,0.8193832034986934,0.817762946237734,0.9618673034311832,0.7024919692093053,0.8237058890429982,0.7495110619320303,0.9493547252778709,0.8455247698950983,0.6888361862629141,0.687140296409331,0.8375345110424778,0.884359180633415,0.8486551671090697,0.9827186026396968,2.30781519368029,2.1594096994619556,2.7938299875460286],[1.008605827374745,1.0311460290986774,0.83676904087814,0.689726383616857,1.003561975668025,0.965087802825295,1.2702052101700325,1.365106990775465,1.36279594901762,1.6235888605997821,1.691740541744154,1.663078825386288,1.9097322248860729,1.8832383028194968,2.095822723029272,2.1509450984620333,2.255577394774748,2.4761634084560455,2.651219640578842,2.7090108984845207,2.828190393705051,2.887330909848529,2.8125824492430618,2.9969583895743255,2.7423130891812604,2.7312304548326494,2.6761301052659068,2.5869426524595527,2.493713397046515,2.3092764622030355,2.376293349545428,2.2605141731855016,2.2506471851569074,2.4468958913355743,2.4792303810074494,2.5489547310778966,2.3981864950982428,2.6450272145878717,2.6695217372735796,2.7225608563655777,2.768649543440251,2.7833303849776776,2.6884291289272184,2.665954903848525,2.6772766109295913,2.9901034721121675,3.0330250632544775,2.7910689065671543,3.375176772292538,3.591156120549255,2.947945153137523,3.2229858079884512,2.4037085147652495,2.9503648113685643,3.034839522588835,2.5911161522404487,3.3312681526881187,4.463885145622118,3.666173813236767,3.8219596951646686,3.4597429970153764,3.0294321715573442,2.8730488968713157,3.0302573507377293,3.0671852523548164,2.8822681310509064,2.89497711172936,2.7055780188316207,2.675721851063668,2.5076926165704285,2.5312584342698408,2.6715668658935074,2.5476306355725327,2.7411847480297804,2.6286189241477422,3.0547854189979717,2.758417254960446,2.7017756400511206,2.7373653146070986,2.7914836141665234,2.690079415578432,2.781442282485841,2.587827739428324,2.433721670443226,2.542689318471339,2.5467726410305036,2.698393183450556,2.524566845400223,2.6601587652406247,2.592947351973323,2.597496944250666,2.7113398440117495,2.5012373214811907,2.316631396789949,2.212980785237036,2.102910312512281,2.0478101670940605,2.056011846986802,1.889770372816197,1.8220332833398296,2.0461433889802043,1.882775356865237,2.124352852162803,1.8697608636189664,2.2727677492713227,1.7936012638869543,1.7939645061535077,1.893146725623402,1.4690635917488597,1.512420202366115,1.3993743888501242,1.7174918711194278,1.6485408081245596,1.8563682519771538,1.954281745139714,1.9887316939630535,2.2908921955267023,2.562363691805147,2.7546181386476363,2.4371446361353954,2.29385239149639,2.0430408700575504,1.9993986665783436,1.8734979971638153,1.6605670637549097,1.6903862953096371,1.287940354852137,1.5827214891116024,1.5020119794335722,1.7890168517971985,1.4563234716601061,1.549939317646225,1.8875235669506696,1.9412263193425983,1.9507751966781457,2.0361615938247466,1.7067843831014529,1.8829418943670175,2.1250408997002785,2.778863198780011,2.7812889532239686,2.723852006899448,2.7113392750998155,2.6171884027300125,2.6571711353245293,2.5609664682462627,2.4350537215560824,2.1665308053390606,1.9646845129986363,1.72472859521795,1.5966642769142672,1.483078685927416,1.4148586565227406,1.7703512977268487,1.9227809258421433,1.6863793237461433,1.7990932154298225,1.7579389671617516,2.0033477783881306,1.9166947534713914,2.1529289831095872,2.4059885143411646,2.509046182170818,2.6124816256470322,2.616362215597107,2.620373317878845,2.629773763764164,2.898827407207857,2.6060482482654095,2.470780152909527,2.261140304993081,2.3364439963946246,2.388209664158923,2.3528261608239336,2.3485619348340925,2.2900855600489565,2.264326721874484,2.296750516234275,2.4392986050408063,2.358400517730163,2.5319343693607355,2.232067591425308,2.362596851998585,2.4245699767852438,2.4597169497829703,2.6598163298867488,2.6858553688370117,3.010214804053819,3.1731042006589374,3.120099318923116,3.192150895754589,3.1072129307414595,2.835764365466381,2.5035889031370715,1.9271784057108177,1.814161971866589,1.4564639681730915,1.3123628607861861,1.0795612234598384,1.1185928938016074,1.022209534071879,1.1209888851494607,1.124748124529427,0.9655136930360222,1.0037935256599324,1.2360752465095013,1.109937858671435,1.052223859940644,1.1856818720422364,1.3595410215292363,1.2994095320708334,1.324650961628212,1.572667443874452,1.6787206190539323,1.6566083582499964,1.6158552009753295,1.3455620708329399,1.1907615545181225,1.0449165977881185,1.092369024223159,1.0659064537494292,1.306721395757482,1.260110127371002,1.2035861680496547,1.1326935445175277,1.0715297079285686,1.1231278712043846,1.1545875906607692,1.1126769513890844,1.1015338677105353,1.10380030372111,1.267794668763278,1.223036005200845,1.1456375238048415,1.615218041168675,1.6843107258848633,1.3377355070825148,1.4894912481614777,1.0609735179200457,1.2253796673639836,1.1899476408553904,1.1482490753388013,1.2967275084850372,1.2638719252895312,1.4365420659241992,1.2734450985586814,1.1822449400931883,1.3545456258054112,1.4246003404402388,1.2443411075913957,1.357025859726706,1.5258268850844547,1.4201668344487668,1.319083842493387,1.4773715373694287,1.7259515594485124,1.3791327557284818,1.256868395673106,1.1175428586661253,1.0863395010908545,1.1083043967620338,0.9832771980100804,0.985004818042918,0.9911249422422339,0.9701281489901533,0.9742945686401334,0.9616087073954788,0.9620620237763173,1.168253138484946,1.268089983274307,1.069104875205927,1.1981038742125953,1.4322835959679459,1.5070145876545267,1.3388241883962746,1.1591983761904456,1.8198928597053385,1.600410553568736,1.3937475246229325,1.286192155547935,1.1107546473037995,1.3095567766490577,1.3137011809187638,1.0888189912339226,1.1678874356678395,0.9543890449465272,0.9672495569512732,0.9925890400031676,1.0301067908006707,1.1991935298154839,0.8702282240264636,1.0429374270979177,0.9356745148651557,1.156138723501277,1.050745800519094,0.7910580812376617,0.8425423454072467,1.0613795315066017,1.0166044000289323,0.9754087996626248,1.1483812120471888,2.4611892404687135,2.3644631490784236,3.0061640998447046],[0.9896637468816945,1.0881412527946916,0.9954605760189309,0.8319481594124778,1.193793369813857,1.107406735850699,1.4263619032865316,1.5469895156017797,1.4969886152513197,1.753907581087767,1.8073362406457256,1.8053694409380252,2.0646929656762665,1.987018753226269,2.198989502909466,2.2877956616737083,2.393372924120758,2.5919290530737458,2.7344249326851946,2.8233822538144464,2.904002059138584,2.966113864083358,2.850105560340861,3.032932810732228,2.8186539105054527,2.820882984684072,2.8133131236953384,2.7401854353894577,2.6441433146261186,2.476804507628864,2.4910134428928776,2.420664859669628,2.394789348338375,2.5747350665211317,2.627654462722137,2.690361966033462,2.577163625751557,2.806076034765515,2.8364876424850376,2.8874395361685807,2.9170369751295895,2.9055188473178664,2.8029945645078747,2.771661662884137,2.7435233042480522,3.0766362062027577,3.0613204385511557,2.8552005148589803,3.455558730112456,3.6141140898765567,3.0043997124708643,3.3343184883478623,2.494644164080458,3.0880326127033904,3.172502957086348,2.6779432652014696,3.4201765501236,4.6125708091502595,3.7734792865814195,3.8993901155425865,3.5496935459531818,3.100934066924152,2.9509774449157193,3.063453057377266,3.1243878904485003,2.971958178617433,2.945486138390063,2.783800385441181,2.7185971567484866,2.557165819116893,2.5512799036792657,2.644371267699228,2.5537656733636784,2.7512722623360535,2.685875961896523,3.097743174838206,2.8378631644320538,2.7905814226143435,2.850089347470803,2.9143553942224036,2.8483265895954517,2.948061024229682,2.7830513944797572,2.6316333821304028,2.731688182223278,2.7362535835798925,2.8555561631660713,2.693247274592001,2.7904587291980323,2.7170343732991458,2.698147367781705,2.777498518906847,2.5777115343163866,2.4137605293719036,2.3196623058814967,2.1830415576839366,2.134746590067667,2.190976560156981,2.0448455583815504,1.9985436488034634,2.23434096914424,2.0990889228927108,2.3422365940537206,2.1137278934911703,2.5057785669512933,2.0408128621902066,2.0368812839251507,2.11568736371642,1.7070066984680414,1.7682448621389038,1.6379406272300816,1.946225715211017,1.8518853450378912,2.055349797044264,2.1230181601750164,2.1563943030114654,2.4488753564146144,2.7201048378562485,2.8565675491037203,2.547319809600563,2.385547038963883,2.1474157830177427,2.1191324432785668,2.0082068100168042,1.8064213288358184,1.8730893023078614,1.494354087515426,1.7944485893880038,1.7296081493387856,2.032548480276996,1.6774023091565282,1.7843811815521462,2.1046558606195775,2.179516940267996,2.170792109284431,2.2509304713666793,1.8998839336004412,2.051542262014006,2.2632648254440864,2.968675866153981,2.94878878773582,2.859792249077358,2.8640805695147913,2.795479631966543,2.8342747238811086,2.7407372623854878,2.6240547938488414,2.3633946558062484,2.1762919641829472,1.9217909603001888,1.8091249914994927,1.6754906149685864,1.6204319966452547,1.9217155192755306,2.076352127410562,1.8834948258362827,1.9940937304452633,1.976442787134917,2.2065249839823875,2.1458039588545192,2.3734409824202656,2.6093869482181677,2.706906279214383,2.802615333444409,2.7896663940033064,2.7716069405662727,2.776141151682474,2.967846483922589,2.6936057291684827,2.5995761643679947,2.4274632623234775,2.5254697188810353,2.593440366597996,2.5700924654415056,2.568856045193852,2.517971545914945,2.4748619120011335,2.51232479291446,2.6505964292538198,2.582902956158071,2.73124423344079,2.4677398581725183,2.5844697837831694,2.630400328031306,2.663588661644787,2.8392484345371773,2.8548188905382523,3.146569911099002,3.289381307509589,3.2475907128326815,3.314242713963228,3.28938235435265,2.991206211618726,2.682013223006187,2.102798993375532,1.940066832887864,1.5983247753855239,1.487587113939365,1.2390797708696424,1.3269621615699674,1.2251411946223687,1.3670068850851238,1.3616378821427901,1.1672022254645125,1.2225138149791952,1.4576723652442818,1.2839601641198124,1.2207862721928469,1.3871312627298065,1.5179655141505843,1.4217315665107393,1.4477950179579813,1.709047147597974,1.7512586979167475,1.7026615958708151,1.6643423881098356,1.4047270112246777,1.2150897851370983,1.1192344755027195,1.1771198970816485,1.100110310450259,1.3115375913966558,1.269934940464719,1.3376359610197082,1.267917474920589,1.2226391488797235,1.3193848578025074,1.2576900146807557,1.1748877126099757,1.2138790143986582,1.2275545785216604,1.2883624391794342,1.244682245016231,1.2099659029312122,1.6358963493585237,1.5915651233498513,1.300364060672096,1.5152792114019775,1.175202842622863,1.4249638633815558,1.3630417866382425,1.3636105572624138,1.5399067215983133,1.534244513083986,1.6964527649176864,1.5244259807842826,1.4387549811702043,1.6343646029348669,1.6860238105817364,1.5011465273005777,1.613015434325389,1.7656185210183883,1.6420509172359965,1.5415047039219993,1.6918383927668075,1.9052881430513195,1.5545365433100613,1.4400006078461323,1.2915724900331425,1.288681618988217,1.3355021876786983,1.1784889174952111,1.138656196688393,1.1650371372657171,1.1442981013783036,1.0642930579459644,1.057090233799888,1.0710556274307679,1.1818865944537604,1.2317580328846125,1.1049322233007797,1.1906459518880248,1.3693665899003746,1.462017867930166,1.3214570295354389,1.1834045012387437,1.7682255414884003,1.590024827579048,1.3724642424393498,1.3154568812035237,1.2075723665208449,1.4122359461153156,1.3738716270150144,1.1827406455986342,1.2183055221302166,1.059793231585062,1.1050531131011776,1.1940903238930878,1.2371880548789806,1.4078008872705767,1.0574838547100214,1.2626968148289728,1.1488690569157498,1.332005318548526,1.2438371198119191,0.932888913873443,1.0110048696935667,1.233025270482307,1.164623267387839,1.085851886407509,1.2630823202647883,2.5719536017461815,2.5305865711006845,3.1839770775559733],[1.0562936254404203,1.0988491585832496,1.0364751185017484,0.7696364425004285,1.1342678079655975,0.9904150558547222,1.251655558479148,1.345584309613937,1.257433626249102,1.4412192887419006,1.4618182653735887,1.4830314111090355,1.7013091793690538,1.5890164211830702,1.7722288393168566,1.8571308466446215,1.9454491091893935,2.079181528628651,2.1676767592817243,2.2684771970065616,2.2923753053575275,2.3738831410077146,2.236018996480278,2.3825354613011887,2.244680406778842,2.235116294041752,2.300457124821733,2.2576962725225584,2.1780139909395633,2.0501046269383703,2.009179539125091,1.998963347775445,1.9543473623288055,2.101334858028798,2.1668748832992772,2.2076149955170856,2.148764097683141,2.3501259686946137,2.3984895042882877,2.465910035308953,2.4679016573527117,2.3878320150932857,2.2790088082550337,2.257347229273378,2.2805840247700924,2.5860227761880528,2.741247188710097,2.39739660142299,3.130313860285811,3.369909525217213,2.6599224174276452,2.9350702337906056,2.1009065652936507,2.6609485065518768,2.7710605720570753,2.2335589338003317,2.9132153521996123,4.067214911766718,3.2558586206267157,3.3501361550005098,2.9597672818306195,2.514654732127644,2.368656603657222,2.442974538655317,2.497021487165958,2.383688895498712,2.320975774468784,2.207966049749758,2.129490528711856,2.012296789436411,1.989823117393773,2.0881384124683615,1.9767707393489806,2.1777661709894893,2.1245661815647767,2.5150388268507586,2.277600715589047,2.240166687249953,2.31780992542996,2.3979862405982795,2.374008825729951,2.5068438308034047,2.3894601406389047,2.2651092301308227,2.3572618964568015,2.3323085612263883,2.3871597034956813,2.245671439053831,2.281107543502947,2.215426887106291,2.1791887505071803,2.2375419170700384,2.063502086058473,1.9341470665273908,1.8645908847064026,1.742240085905782,1.7145903888227845,1.7848467663762217,1.6770439775944326,1.6797085974157708,1.8799717105476084,1.8292983860091183,2.0140492701727797,1.8506720033827024,2.2912622645344958,1.8434222830254177,1.8962210886579103,2.010213999032969,1.6054354823821242,1.6206727238728196,1.5047780873729009,1.7588656692755433,1.6328977903700088,1.8114783189612071,1.7731362244857503,1.8042338698906282,2.0010888873711234,2.225633712680966,2.2379161614725906,2.0106754392921946,1.8618166732896249,1.6972168499180524,1.7056400011149968,1.6798808057349326,1.5466721567928177,1.6842543670696708,1.3602784916776938,1.6595742899468398,1.61348318963906,1.8793454298136183,1.5968078012669384,1.6971055362211165,1.9889442816957448,2.0165979786584947,2.0229956455274776,2.0810979591565038,1.8031287822168416,1.9172437318853535,2.1169908504126473,2.706854046346533,2.590411686111092,2.4258649803128414,2.390594758916455,2.3994890063119594,2.4195820488554145,2.338324230156953,2.2641605465276813,2.0231180885114215,1.8961744609951916,1.6599209647315407,1.6046258370985729,1.4397991127872962,1.402441234056634,1.7025961775839287,1.827380815496475,1.610130389319574,1.6977237768289268,1.7142687853127383,1.8934300744925259,1.8946915398561486,2.102131752650924,2.2577971127242384,2.3828022074667485,2.451283076067751,2.515295078218161,2.5221339575461514,2.5982896922530614,2.845089505837257,2.6199090116093453,2.4906580500217625,2.2942701747971093,2.3265768964617153,2.3512736684898634,2.295748814198829,2.257829208180144,2.2187151405222556,2.134931331940535,2.1871722841369436,2.312037101217186,2.2816327907654443,2.464489363556653,2.2359895587359637,2.3687013185502828,2.40924845169683,2.4263668087608763,2.5266115565365803,2.4929642155973855,2.785571349034727,2.9087523293359765,2.9299131952639583,3.047617721399346,3.0241118483272325,2.8218799953254923,2.55002901384238,1.9939131849822085,1.8765733395746964,1.5731315605795544,1.4670949344623196,1.2433205297244272,1.296465496461315,1.2218492583476228,1.3190633360986441,1.311493947018283,1.1713878375883955,1.2101003762590679,1.4110717181981047,1.2901716065094133,1.230207747035486,1.3490908274516393,1.4824756728099886,1.420140396318513,1.4274947478282585,1.6486618932919184,1.7264622081971999,1.6675497790567102,1.6400315423974423,1.4013355905693232,1.2428547327491075,1.1573594190039571,1.2011610363569503,1.1411101576263352,1.3404419315004739,1.3240193592986085,1.3602294451469932,1.3098584141318448,1.2493338440069073,1.3167935747040411,1.2871287941140068,1.214711480417079,1.2493701289152352,1.2500528822939687,1.3346873315651928,1.295907729410739,1.2507785867379082,1.6561063257949227,1.6134993246970268,1.3345363472007774,1.5472993022334083,1.205920075340486,1.3991679609614744,1.3469743967476604,1.3381684923774353,1.4774392521982906,1.4605525079015236,1.586237346990709,1.4437352052470405,1.3668017169370035,1.510489117256144,1.5713205193006892,1.4212010540172453,1.5037512879167751,1.6324745868626955,1.5477841673427268,1.469493602380705,1.59045668978787,1.80942111356686,1.4900620680148284,1.3782298467948042,1.2643673914124733,1.2684931077083959,1.3100755454217385,1.180787137972101,1.157264698801768,1.1765602735984895,1.1649861496418286,1.1085039900208675,1.1006439530501277,1.1149287610181982,1.232008959068247,1.2734780939592647,1.1485582574860693,1.2377168706800816,1.4024717396014394,1.4681604036980456,1.3395913607232082,1.2098155402315078,1.7678655030905959,1.612757696665037,1.409772569573131,1.3783902179633036,1.2546817959276113,1.4492590624412491,1.4653766224125617,1.2540535812943274,1.2626630670891335,1.086857571809145,1.1235397829517295,1.195966547226468,1.219001519240661,1.3386154054901287,1.0451043951381118,1.2063406213255752,1.1046971707325302,1.2498608079947522,1.1661097402094103,0.903494149986289,0.925870194157335,1.1078204158724982,1.111622146308594,1.0184470503485465,1.1812281080962372,2.5847701257809486,2.5328770035051753,3.151116840793493],[1.1007657508083157,1.0754317386926968,0.9781659618310553,0.7122739042444155,1.0367507774360398,0.9315360176715106,1.1900844040408547,1.2854053089092496,1.2362045630190774,1.4513479510999945,1.5048135090830932,1.5101057000098979,1.7326001641737514,1.6537368979327112,1.8685877849637922,1.9429950864894447,2.0298893668121245,2.2368462658011175,2.3986702357705685,2.4896079072857216,2.582723305238119,2.6847770547689485,2.592116131289856,2.7727314149060254,2.5530845995792366,2.512894533825496,2.4925665407713398,2.3881602325880453,2.297940575998202,2.1335075329101802,2.1552698766299647,2.0851449971549645,2.069072123446695,2.258943668205775,2.305103488887118,2.3628609050656175,2.250023280926077,2.4993919135742093,2.541411272207173,2.6389508368604067,2.6710814344734537,2.63113656801895,2.535675891890435,2.548424858217378,2.580341423001635,2.886745642359911,3.0095747785340126,2.7366283646334906,3.2965009380783292,3.623839788847286,2.9641569415119986,3.1316628132927153,2.352673922368286,2.89183398608081,2.9119100428203075,2.5396877424080193,3.3626061768928532,4.3219421883692135,3.572995526674822,3.747058430437594,3.3074140303085633,2.849822371148591,2.6689994658151486,2.8101955286533564,2.8509337915736785,2.6691763201977956,2.6218482525944142,2.451534643244117,2.3897441226626186,2.226913606620062,2.227285331232459,2.3714947320711284,2.2448782436052177,2.4742309995561467,2.369824098573053,2.790125511243605,2.540363786333453,2.494263908993276,2.5542306503876415,2.6392429812714115,2.559569311380539,2.674221765707311,2.4886727799366675,2.3755512265463348,2.4622222516189196,2.448271826545633,2.562572091523905,2.38984536283614,2.480457710905599,2.4066361394171896,2.386507687977249,2.4748812127852537,2.2669861746442166,2.0969582097473163,1.997105250585325,1.8823986067877474,1.8302370134256565,1.865504299539561,1.7201860662552944,1.69110471959792,1.9148355592377688,1.8170496387020478,2.03565876277666,1.818461397460402,2.290550399818056,1.7843012297433227,1.8426871960035325,1.9376997897657982,1.4987519727039633,1.5246836843067801,1.4002285843567233,1.678878387107311,1.5633879066019019,1.7542590970969494,1.7636253814193428,1.8051343462481166,2.0666607955692236,2.312412350234667,2.4456828869405327,2.162300911753934,1.9894964272025781,1.7718719720358544,1.736497388417348,1.6699813833786294,1.50886454600087,1.6072126449692814,1.2640675927460252,1.5707228927248027,1.5194743584592896,1.808022519590217,1.5269049906599312,1.6411967399069856,1.96531767416357,1.9921671895554978,1.986027891419233,2.0177419247790462,1.7089021953791117,1.8541163886472183,2.063305771946381,2.681872383274038,2.67954955545357,2.6144656095229166,2.54985581020427,2.4754857107522863,2.527808561880945,2.408522288171838,2.2954797474743804,2.023583795603836,1.8675057414246516,1.6235078792477444,1.5444685504491669,1.3984675325581641,1.3491555679085612,1.6748466246005445,1.8151210875978399,1.593180767943039,1.690171908605477,1.6823082313802795,1.8945035719596723,1.8615487425843795,2.081296051105111,2.298694854572768,2.417768066879579,2.54030561090062,2.6051186539638804,2.615169949630722,2.6632860570697683,2.9622294573608556,2.647809983245342,2.4599298519634525,2.2731842524706183,2.302237015202553,2.3617967769727723,2.3240990644057415,2.2964562398893347,2.240167871281283,2.170123100152456,2.2337105660229564,2.380750282487016,2.3322681489250225,2.54073563796289,2.228366381991021,2.4004147403778573,2.482032698281486,2.4912631308974267,2.6590439147502503,2.645984075634015,3.0101429118806613,3.1414979139570747,3.1441943619427346,3.2537326300755267,3.103231569856628,2.8853184128097085,2.552861324039134,1.989600892468664,1.886662260555019,1.5866935169516667,1.4452686006665505,1.2116042948788943,1.2228798548084825,1.1621055673517826,1.2054938601043137,1.1981331568954323,1.0951394931722633,1.114872970033193,1.2864514243888008,1.2161367268405325,1.169493396368622,1.238915347947235,1.3980221632759575,1.378152245222797,1.3790015705576548,1.573406131046535,1.718932820667481,1.6877470390598905,1.6682619825397442,1.4197306478159353,1.3129005905857187,1.1780483496356382,1.2138492770498854,1.2145719447958594,1.4359362954750565,1.4340499303765133,1.3339948316551082,1.3018450340993293,1.2453664099962711,1.2651040225485328,1.3528699429803286,1.2958278075347949,1.271617099880572,1.2953045901362343,1.4677392147931179,1.3996357645913966,1.3300593560489338,1.7815383450589695,1.7985537766647999,1.4686503128918171,1.6095783105879038,1.2219120133085473,1.3597377605305099,1.3388303195630307,1.2676484702919057,1.3974612875537888,1.3558475718897003,1.474395895031934,1.3364546437633724,1.2571213992633616,1.3588497835065954,1.4289954578819193,1.268054460511492,1.3374837171747818,1.472344261362698,1.4054840984971526,1.331378737575066,1.4479751616661343,1.7026696465849231,1.385375856867318,1.271301990225622,1.18255495696776,1.1764113591706389,1.2019332969581182,1.1296845041148453,1.1234809907720897,1.1193267566384537,1.129643477998589,1.1455635735520635,1.1236027477884063,1.12793869581374,1.3346283376427621,1.4095939360676104,1.2166021163752534,1.3388574773352964,1.585001617357767,1.6125964019417336,1.446304703021942,1.2644195535795386,1.9095506641405773,1.690797076448482,1.5238046114729618,1.427520297299703,1.249940747134526,1.4282562051089727,1.4915067175187218,1.2708841173196752,1.2862114313700475,1.0787560877416322,1.0864808939630415,1.1112015825828139,1.137513031024775,1.2343754793023942,0.964749210784491,1.1052865851934843,1.0090611684334065,1.1791662955958604,1.0802127970665272,0.8467987815749664,0.8540370288865872,1.034037185284225,1.0563417802799053,0.9834489697440019,1.1449778765251752,2.5623210339994,2.4898818966284435,3.127052563884085],[1.0517699402247773,1.088359378532439,1.060582040501149,0.8055366729487131,1.2198505815889615,1.0640349398309126,1.3798961311151268,1.5257067747301758,1.4288245560636976,1.6685721628501715,1.7251117065762958,1.760141507366095,2.0235663807384845,1.8810629544771411,2.1427123455505126,2.2660827927743896,2.3550399609157924,2.5935681918561198,2.7658619538215956,2.9123648028880105,3.006459900265555,3.1433550576819687,3.0243662720762527,3.2315552847494873,3.013493796543091,2.94708101218761,2.931584758622088,2.788374255971506,2.684786486611301,2.517509131467967,2.503875600271889,2.457158658769601,2.438950320360268,2.6488770112207054,2.7130530472457526,2.7724193803117423,2.672300754302047,2.940494514989363,2.9978642672646902,3.130377142246788,3.1580591553624067,3.1035210778996523,3.015020004993656,3.0462532156863618,3.030588297749335,3.371161109576868,3.3732414720926616,3.2061052340530196,3.6738597519064293,3.9386286965423376,3.3733575783428225,3.5566773174035347,2.788636103991343,3.3844236721168373,3.3473264380975025,3.0074495301897857,3.926901302761039,4.858283821525126,4.082805938202056,4.257408955031591,3.8127931828951866,3.309083008451839,3.112049025389188,3.2436036820445695,3.311380709976461,3.1159502474775977,3.011964438288678,2.831853652245686,2.7180406209567347,2.518973541206018,2.4854758188242134,2.599025886365236,2.5202458716109306,2.786903992556627,2.7176358509329614,3.146365286285013,2.9501443924795403,2.912118779666556,2.9964711806307505,3.1044346645018486,3.038556937098935,3.1638679537410677,2.9649763657905335,2.867392713100919,2.946384688380388,2.9182819732310143,3.0325185028413677,2.8444822871517057,2.9170236868631325,2.826396875633953,2.775220603848586,2.837555390764192,2.6087720917845028,2.4354195364570486,2.31737565618961,2.159402959222338,2.093122716336443,2.186104805451305,2.032465880497993,1.9990067420030027,2.2845355573806185,2.1843625875140438,2.4466575500729633,2.2196680289183472,2.7040571694681517,2.1654955448759465,2.223613418752019,2.2850043399997517,1.8205954541383702,1.869338537582099,1.6927740071179518,2.0055024515425615,1.8506440227919592,2.0547681657539045,2.0474842399201143,2.0934207120119197,2.402302188061056,2.665576263992846,2.8136764280431787,2.4953944645495953,2.2556500898985847,2.0114053996522396,1.9486225350200597,1.8747182025443534,1.7035337312851606,1.855791682711624,1.5050047410320866,1.8605366441008748,1.831379047548157,2.179935981397072,1.8532521933769839,2.0070245146965777,2.343000988898953,2.4037761838450544,2.3680185178337045,2.366039408161808,1.987814599630087,2.1230153732629002,2.284187205377842,3.0288101267490575,3.0907461091300386,3.065115973919038,2.9842912708423004,2.88202689482303,2.968624642920649,2.8090053671091257,2.669837684831696,2.380152831018264,2.2193127873028997,1.9295921560880867,1.8481999243826177,1.6784856862183226,1.6584189494035808,1.8882879078246804,2.054858683679459,1.9072767967195698,2.0117221830963468,2.030791026502575,2.255815285836815,2.2363734667447077,2.4736553574206104,2.7200862899748306,2.8353635791634693,2.998011650907922,3.0428247875257433,3.0290910010206633,3.042454922289678,3.2650135939899125,2.9084730873198503,2.752471127551192,2.6141104384465716,2.6671519652730313,2.778783510484793,2.7677218972081956,2.750234295054922,2.683652660094873,2.5949780289112434,2.6832778276877822,2.8494593518631874,2.8026674647479317,2.989760684301566,2.6596644577133723,2.854586394663498,2.9482587260919013,2.954384413119434,3.158096453032017,3.1400424749021085,3.4995221900097957,3.6279093594107787,3.6266262750972267,3.7052025914648627,3.5690937818236756,3.283855713092198,2.9273771941909446,2.333221135245294,2.139175705717382,1.8413632292805686,1.7178350576802586,1.4189062667999666,1.4763684001589104,1.3826651696828818,1.470489277743945,1.4477785608918232,1.2780080255413966,1.3107219072612708,1.487699442573597,1.3423106078963414,1.2803466355411457,1.3965824775858093,1.5083553647843424,1.437117173172326,1.4378964997351293,1.656365148670512,1.7295088390714317,1.6749128784975957,1.6574732915430954,1.415236892660334,1.289374704731632,1.2032380942498202,1.2391806663946907,1.223573991516315,1.406683387567019,1.4419618664979423,1.4382311237898413,1.4383717406666015,1.4054458738628044,1.4871618693445112,1.506002076897537,1.4055900584063663,1.4185211772751003,1.46926516216483,1.5520189198523633,1.4737750151927864,1.4572271101930165,1.8778944989807909,1.7694726790993975,1.4805456405115849,1.7032742548465454,1.3746051276366757,1.6302271710824738,1.5751202315283617,1.5213010004320884,1.6853358810990255,1.6618448908260146,1.7869551143356128,1.6245882289465703,1.5153293794843057,1.668761448345396,1.7232337594300349,1.5229163183709795,1.5911605370042479,1.7119633642137013,1.6018894207451175,1.518197265837352,1.6326786328146712,1.8407083424047126,1.5081764702132583,1.3978512228493922,1.3013116316782858,1.3322582496181699,1.4032107309053452,1.300873090675029,1.2331976792128891,1.245833272459227,1.282996066353481,1.2177079628944318,1.1821033988918308,1.2210576043774704,1.371270440173995,1.3841838742455572,1.2353980405349072,1.3589651864906105,1.5584449799203273,1.5680634492348842,1.423089537739357,1.2670134112077767,1.869320333917436,1.663180361410179,1.4772190220684316,1.4050590451331073,1.2846832952554323,1.467796074611201,1.4876362760364124,1.2955568010604723,1.2974556385031972,1.1389062188970214,1.1987810991688141,1.2898638404115061,1.3619121857485883,1.4747375832111411,1.1310302448973273,1.3267374355365962,1.2114966896280963,1.3819673265967265,1.2762298109497974,0.9623634376480488,1.0094150634964718,1.2173585997882388,1.1519343291954687,1.060615979513297,1.2531402867415826,2.663838634484473,2.6561545373699675,3.2923254296972315],[1.2190583625379394,1.3258244332019895,1.3598520613078364,1.0656869581123518,1.4813131466595868,1.2756165878922237,1.548693563650131,1.6972055887224853,1.5308487894199554,1.6982838176166135,1.7176862146207406,1.7944891166200334,2.0285537712303823,1.802973694400598,2.023902673905305,2.182869582120756,2.254366826386192,2.4056877202496865,2.4797224056776743,2.671805984381567,2.655660487874374,2.800426530002975,2.602409689803944,2.7769908715035005,2.687721452608881,2.6414149148645847,2.7553100562465347,2.666154207330942,2.5716265737891897,2.4638722914362927,2.34148234234516,2.3975984626608633,2.3491159438612126,2.497192995995825,2.596214170244822,2.6296864333257073,2.6192726220778684,2.839271501778837,2.9174096975655606,3.0501818921403467,3.043619945964671,2.894342100003041,2.7831703907218164,2.809191341140163,2.7465711445463583,3.1122943866473847,3.1112389925331776,2.928678225456743,3.5487743983085225,3.7812313459259923,3.176378260489775,3.413545405666608,2.6109261328707762,3.24991064220339,3.21704313631305,2.775819002856449,3.6572389577148976,4.652051813426305,3.821502176193737,3.925658595304307,3.473589352239378,2.950725608362119,2.778124834229709,2.8115443245785503,2.902544356914987,2.800063663983692,2.619322542898526,2.527917613957161,2.364387670292028,2.224801746114886,2.1412916084998757,2.2030101215123894,2.1461685503502568,2.3909019553961457,2.403441632614071,2.7855499260125614,2.6511710684991656,2.6348733799523982,2.7590024503030697,2.887903973086302,2.907867700852592,3.0649692707868796,2.9516161623972934,2.8712000560794775,2.9376390714274856,2.889804517067747,2.9099414920841498,2.7485386711743534,2.728856036886264,2.6371380996515685,2.5465504051455485,2.5506365798896637,2.3652935486220565,2.2541124117494404,2.178540994231401,1.9996746959679466,1.9764335802031603,2.127514227110992,2.0291414414204794,2.0617861680045615,2.319184515502392,2.3186171463232985,2.5231304074140213,2.383546194407325,2.8749695888664646,2.377330760895261,2.4665172669688094,2.5291500635827964,2.0936200564051357,2.119461213165221,1.9419880637066862,2.2059739589756244,2.007268471041532,2.1766149375011854,2.065468698098609,2.0993619830534826,2.3189935769905077,2.538567375130234,2.5119303201125907,2.283642215999682,2.039928732730514,1.8753937350200292,1.8509269398230395,1.8680371038260029,1.7730824281837416,1.9952341299863754,1.7304861594153682,2.0646603853541357,2.068293471111473,2.403645273399338,2.1032998133242162,2.265869030076211,2.5602785858114667,2.6153896160158037,2.5755681603118443,2.546070661400266,2.185458056325106,2.283233293484397,2.391796418384096,3.124462556430127,3.125863181813182,2.973970699672943,2.8751891885467966,2.8682363600193272,2.933666463361324,2.7835555976648427,2.6916906418794544,2.427808675093231,2.333364834673498,2.0478912457086156,2.0297261249384184,1.8277777420231018,1.8381791730247459,2.0179690855509644,2.1557964497348547,2.0336524286352406,2.1127641201283223,2.1758455136560655,2.3327555898306778,2.389609838287055,2.5981577760049905,2.7608552774831705,2.8965164833048718,3.020773214444878,3.104217254298972,3.097304594622476,3.1434924883303097,3.3061024276750954,3.0062916289188206,2.885982610299487,2.771947671170228,2.8035188804486766,2.9024350052419723,2.8818179543010127,2.840009828742757,2.7918845293338665,2.648982443638413,2.749622268225567,2.8940677356420723,2.892717595501649,3.073760011507998,2.823942974703284,3.009056361926257,3.0806550381764026,3.0820880082373328,3.1863167924581344,3.116558016722867,3.427509613158404,3.5277953762779997,3.58745693803347,3.699900500445948,3.6442423134379607,3.380340713274578,3.075627096395778,2.493070304393648,2.2951529247468816,2.0349790086033503,1.9571295391036396,1.6696759624494344,1.7526198550854688,1.6670523393518268,1.7740242142570402,1.7464147036194457,1.5776398509131144,1.6210768815732062,1.775719363278111,1.6151998392006772,1.5674442731854978,1.6877764422954726,1.745248188359081,1.6590573500691996,1.6633640436074193,1.8561990330588103,1.8792850120651488,1.8011341150438607,1.7762536476016215,1.6114549869213979,1.4558445587267748,1.4351583293596515,1.4782115992298335,1.4433593440762953,1.542734448102068,1.6436561395762543,1.7038730880304698,1.6994341309076357,1.666055944402074,1.7617142691325955,1.7010626932070365,1.6154462335457294,1.6427141120710336,1.6887309250450293,1.7074271131695768,1.6436633371922997,1.646794814309565,1.9694105335522751,1.7791105653682386,1.591219225365012,1.8304915563792468,1.6086783364649275,1.884734146160405,1.8025176573521908,1.7908829993071655,1.9414781370815368,1.9500816412570106,2.0461235412030194,1.896616928605462,1.8165468574117412,1.9628902761620057,2.002505443769347,1.8284289102218103,1.8896351394389805,1.9815520521563703,1.8736316393096797,1.8060749104647382,1.8980897947406097,2.0783148185306017,1.7665027061101202,1.6821037076445118,1.5973094002668489,1.6420081160938027,1.7122738600267295,1.6086647225992217,1.5294732316076411,1.5461521844190744,1.5786222538346755,1.4734672519611767,1.4474691930102577,1.4798945215403934,1.5433479407417972,1.5278257983057872,1.4439237861135976,1.5143704232351223,1.6345345252258445,1.6590948983662162,1.5526636235830995,1.434676834641239,1.8864492497205112,1.7277441791176884,1.5828664030130264,1.553595893519563,1.512106055082381,1.6719240910091222,1.6681244412250054,1.5047799394833101,1.482481564529288,1.3694440897646674,1.4532069886120282,1.582879010194248,1.645691127544943,1.7286408959690165,1.4301048912398253,1.6297746313660288,1.532916998456404,1.6428292923547783,1.5445366932676428,1.2532060730410444,1.298159820380826,1.4461713563166485,1.3895047124841402,1.2807463883424732,1.4312958499014785,2.7947440869329054,2.861651585969973,3.4560145733498318],[1.225556977139092,1.2047079993808854,1.2427447524649136,0.8599435018583073,1.2458450278093545,1.0488967854118205,1.2776197924402317,1.3895946980043974,1.2519051469715214,1.3895449478479664,1.4175194485866893,1.4735835113515086,1.668989430831863,1.4908188479248587,1.6965005599115535,1.8120674930680518,1.8587465294132435,2.0095013990739115,2.108107648352197,2.2488583893218954,2.2555019846450772,2.3995982801061273,2.249137123309521,2.3976367384338606,2.28194228630723,2.2229707352713057,2.3028558227598603,2.213405113256352,2.1458296706000994,2.0447259635002233,1.9726506960185732,2.002532861543861,1.970843896711447,2.121360597562628,2.191932881029247,2.2182226611200107,2.1881830471573616,2.404322829828121,2.4635196160635857,2.6126109720138158,2.5928881893018465,2.4552250011096795,2.355405950214279,2.3880086618423064,2.4196184255567736,2.710951183465146,2.9185490407097845,2.620131648134679,3.2022237703140446,3.6008801795199035,2.943040268341,3.0422626709905396,2.3166944694008005,2.8512701090935155,2.8139592461111396,2.4570754087556463,3.325043176482111,4.168484713663911,3.4340726861443054,3.5664427741111178,3.060611921577594,2.5790745384807687,2.4008464521058746,2.466396294533975,2.520757333230818,2.3985201934021703,2.2504532885070265,2.151936551919508,2.0379329663781234,1.910961665742353,1.8631320207151798,1.9941430732031498,1.8744808793968581,2.1250525650087475,2.065522545222682,2.449527907364826,2.2831035139501163,2.267009776985596,2.36981653712751,2.4927783674112143,2.4810321320253315,2.635530917517771,2.4929507276193905,2.4332411888114804,2.4907706503325007,2.44317822425267,2.470766090837563,2.319153348782449,2.31997352108144,2.248552998308172,2.179958937073548,2.209093844160455,2.0341646771880306,1.9153292687590617,1.8376759255976316,1.7081444393824516,1.683642571442576,1.772610080633716,1.6752425909553341,1.7140736657590203,1.9300753282141614,1.9392721351467501,2.109228617178852,1.9740042313950492,2.5036030643261906,1.9836957025116255,2.11472772564717,2.2004890322409025,1.7640268559733234,1.7682307473584287,1.6154636330622374,1.8356330646460097,1.6597044818344073,1.807633367133182,1.6816404709028003,1.699870511531334,1.884571191576187,2.0555084252089557,2.075450157443259,1.8843828374397147,1.6813934984444732,1.5357955106649996,1.5060636239481129,1.5349839530393945,1.4692018549543575,1.669264984970026,1.4177704600354568,1.7459214632317688,1.7505158669978713,2.046442690203387,1.8100021042360177,1.9602331980938097,2.24468335567577,2.2548004921847,2.220456126736157,2.1840234238814418,1.8948434966058072,1.9689508993575469,2.0905215317631267,2.675392728264738,2.598374870355481,2.4875639916972094,2.3832728337224482,2.3874836191705846,2.454875079083505,2.3341949688108476,2.253699697584426,2.0140822834692305,1.9353436435051306,1.6894824850429058,1.6827697393026817,1.4928194624811666,1.498947871704555,1.7223608554606458,1.8523304597786385,1.6727471420943223,1.7447547864303217,1.7999367679969798,1.9432774280158107,1.9946491677620182,2.1751060979195955,2.3125848646392555,2.4383610355482923,2.5718709613831914,2.7085912576911824,2.7111771904297517,2.8254867899965834,3.1076346504586025,2.810711432925075,2.589224999546349,2.4489105544145104,2.413738252570916,2.4885862269674264,2.4514988749103233,2.396045285619821,2.358611321974729,2.2190189905463193,2.326453447798557,2.460032025261075,2.4681704073656605,2.686129745311416,2.413425046936744,2.6210682123505045,2.7058511849125306,2.684791281212794,2.7713375207794275,2.6850808881726,3.0576813374656298,3.123275284326611,3.2337456674319536,3.3965416125446204,3.233768670662209,3.0824628980279343,2.781790620641904,2.244874963530012,2.1177117910632575,1.8624125722206706,1.7537775015304906,1.4862512393365679,1.5149788207299737,1.4600557595524213,1.509006882304158,1.484899760197981,1.375489476238545,1.3971029507587072,1.5320926046433658,1.4526406192482015,1.3987924346534935,1.4664123603176686,1.5694392567259228,1.5342496951287476,1.5201155700577473,1.6849225514775346,1.7879512668943058,1.7264845324301752,1.7134415880998186,1.5193634164726548,1.41422983204969,1.3392292230898764,1.3675328316715325,1.3628288759213654,1.5066128129894507,1.5990861506122036,1.5535948638297328,1.560743615608929,1.5124431746790494,1.5642687312449206,1.6073300610922703,1.519783288901218,1.5266589108554094,1.5591315595557838,1.6505229787214264,1.5764743083077712,1.5561186245913434,1.9503718832414658,1.8189504293156817,1.5644470291498704,1.7551247288089808,1.4711738313760403,1.6697659860534495,1.6268541413017035,1.5764660357820415,1.6965592837156072,1.683633637968599,1.7560282769895676,1.625049064492396,1.553398786405632,1.6404611983953938,1.6903917013231646,1.5344249968489625,1.5730133617565198,1.6674625901979352,1.6021455194978595,1.5490487302812546,1.6245738230350966,1.8348602705746406,1.5523881678479163,1.450347169776905,1.3872791744560398,1.4238803236778552,1.479444868203651,1.4076047500296542,1.3601981208847889,1.3668940400032579,1.4020176310843362,1.3560745913478882,1.3262448533797213,1.3524247135541791,1.490992069509017,1.4934275670381618,1.3610118704376577,1.4584636808021842,1.6407047091404297,1.6444748722702094,1.5201564419570937,1.3931113468794396,1.9210945535595114,1.732040987821873,1.5948940086430279,1.5491402516984711,1.4362514336819607,1.6005792763177722,1.6544161313142933,1.477832124507889,1.444663939565399,1.2801150196720692,1.3149259772155064,1.392334941270633,1.4255072006674645,1.4808066210059863,1.226506605695724,1.3663249562348745,1.2763532119042327,1.383238427896327,1.2949941588178366,1.0430312034312927,1.0404322580078256,1.181797761569221,1.2348866008163493,1.1351007637506652,1.2930530154714543,2.7858125996788594,2.798732553549636,3.408824614940299],[1.2142157027878786,1.14780901067781,1.1055591426756541,0.7492652310631226,1.128963522001442,0.9577209857103548,1.2130751073206854,1.3266702103692276,1.2240252056286591,1.40602387840191,1.4570609507235308,1.4954931669101423,1.710176744834588,1.5673447247695587,1.7993691928662414,1.9066924834843673,1.964409152059473,2.172073949860438,2.3266567021209315,2.4623244652347958,2.5325331481049624,2.6904491379071915,2.5801847689234734,2.755649622019981,2.567440500817851,2.480425374971241,2.4872444394669837,2.352615965377903,2.274722465561291,2.1373422121180528,2.117998458687612,2.0927216404116304,2.079689187460018,2.2715360418855735,2.327107321683226,2.3698646237871386,2.291369251251605,2.5433088572941087,2.5996741726750043,2.7702414019768007,2.770613940007593,2.678587078462052,2.6014739287604796,2.6545698732419654,2.691919451759796,2.9770053916219372,3.150592150613902,2.929012223145947,3.3633492713342763,3.7920631523039905,3.1953258925037455,3.229759223534573,2.552734545339844,3.049136836028891,2.9714341843946404,2.7386465048833233,3.668092217769056,4.394793401084888,3.7116095544606753,3.900697980853397,3.3775329749028007,2.890787203629465,2.6868904930619193,2.8073062984290584,2.8549708376882763,2.6699634287166334,2.5405797518976403,2.389573751766734,2.2884193678442033,2.11764202991391,2.0951761974765435,2.2590757105979664,2.130023141951821,2.3945454576327476,2.2998330201275374,2.717981478007548,2.5327401431692294,2.504357085953016,2.591045828551041,2.717619448013619,2.6539229150994688,2.7944049947786462,2.59099254583094,2.535524932001821,2.5941895160392785,2.5508730956394317,2.635257552398026,2.4575879937885117,2.5091622431033893,2.4305700282945355,2.3757348293356495,2.433201414485407,2.2216398774494994,2.0662022479033517,1.962789222354001,1.8346934469094052,1.7868994036122468,1.8537124905536844,1.7220635794542292,1.7223707068626661,1.9658582512817755,1.9232255525321318,2.131916130990756,1.9453563046319724,2.4873731594061956,1.9294371834339863,2.050685859614772,2.12139676644947,1.6566019817619289,1.6715030403826487,1.5104809459837676,1.7673903584121453,1.6065338428778035,1.7779549493074824,1.7087355614696058,1.7394512751111284,1.983598279227584,2.1852616994880587,2.2973249319776503,2.0547253488993484,1.8394996473254475,1.6439663098406005,1.5908505274303815,1.5701785717705707,1.458717801487775,1.6200700594842445,1.3228283588358436,1.6624711588226948,1.6551345241375008,1.9739559223651268,1.7232744882661215,1.8840725401687546,2.1970820019159447,2.216230053809378,2.171012417762919,2.128648378532592,1.8113085034055127,1.9197124090538111,2.0641512676425884,2.670749711593856,2.6644235551712137,2.6417359590136664,2.5349399861397632,2.470417925058902,2.5608215014853295,2.417040610852092,2.301352575891166,2.0384142148873208,1.9224801509953893,1.6622867496532465,1.6233185918941249,1.4440444607532485,1.433720895692918,1.6910383303847243,1.8386249888735278,1.6495668183353482,1.73719084111316,1.7690533213070647,1.952559465702278,1.9681082238517258,2.16637648135066,2.362555249976114,2.479964854996762,2.6522706371199307,2.7739624457931056,2.759978537254917,2.857249248107384,3.1696850742645384,2.8040832794102486,2.549779677617827,2.4146752351693705,2.390644832203291,2.4954227794639237,2.4717686030069337,2.431106872325191,2.3782054855061174,2.259990919822396,2.3720733771450435,2.5244418021701485,2.5106225050505397,2.735357589021695,2.3999077265156497,2.6309529313910596,2.7467265601008544,2.7240147018387053,2.8819172951321512,2.8198224311020517,3.2426170015624987,3.315883899347155,3.4099962654202796,3.5479574647364087,3.3044151891855824,3.122691506757358,2.7715205613885177,2.23349882451128,2.105416394028948,1.8318905005337078,1.6870259269501207,1.4017464589936433,1.4091399555357254,1.3559448653000885,1.381342044147522,1.3526830062401156,1.2484396134230524,1.2646566683868719,1.3877843367875897,1.3277466908361018,1.2796658382200237,1.3266994932364888,1.4518725515112794,1.4369758085796474,1.4216453916313183,1.5864288153772177,1.7366273785018698,1.6862444105136196,1.6768600808531173,1.4604488618957512,1.383007316918023,1.269740912529557,1.2948831843071904,1.335156556885338,1.51455290212044,1.6160947224188342,1.4764874868373006,1.4881602147822646,1.4577078073527716,1.479963042173383,1.599909810829065,1.5158223637333061,1.4791327119173805,1.5274798128723368,1.6798679659683569,1.5844057453547258,1.5425756243155742,1.9878401542859607,1.911841477208184,1.592036432431883,1.7450095940956505,1.4077222663936844,1.5947736722141073,1.5736009244517233,1.4826211530977207,1.6016195000737583,1.5767394634917127,1.6608960658866527,1.5152697572522105,1.4267369969026427,1.5115147575005698,1.5650649664659126,1.384486150373109,1.4205229873271386,1.5231827949038692,1.4594954543467564,1.4026734738056026,1.4771257531357962,1.705470208229695,1.4229327313981233,1.3160385683371214,1.2610216277238997,1.2945047582425062,1.3430226358491797,1.3121374395363716,1.2635699115737413,1.254550966051318,1.3082540005729144,1.301685595649469,1.2548848165548543,1.276176769527049,1.4910343395471861,1.5129314452920968,1.3179846568869518,1.444317259462464,1.6850075840407244,1.6780556693098063,1.5199511200346463,1.3544230138706679,1.9566688527569647,1.7106702806693663,1.5932738464372898,1.5157195598390516,1.3531205336534868,1.5163599255686793,1.5996823675802405,1.4009694526464473,1.3906714222679275,1.190993539811804,1.2087169232638302,1.2624474063213555,1.3067196738492601,1.3682794075317108,1.0898519034839813,1.2340015505843835,1.1369888614288612,1.2714962726916768,1.1747548769183074,0.9235440309326123,0.9139342382084574,1.080925772769313,1.1309973908288597,1.0419804218139421,1.2079631587071864,2.7113060598416823,2.6921066517095764,3.305205388008345],[1.2755057565033607,1.144784780999195,1.0395683125568196,0.6589137854295121,0.9662654376615484,0.8258751477687486,1.0311340957852653,1.101105823070302,1.0390313905673556,1.1847506792875866,1.2272642880774627,1.2396848378824001,1.4221182719546273,1.3315786710114679,1.5330814420748846,1.5925667799508036,1.6487523234454677,1.8247738704273664,1.9680408329400063,2.050255054605802,2.1137337849088538,2.2337184782665043,2.153457080255379,2.2944716946057935,2.126697511701734,2.064127547864617,2.0640059217677154,1.967383791167075,1.9021483745819219,1.771342904543688,1.7759260599840507,1.7352193463449421,1.7214525489176895,1.8901479913486912,1.9327854728169862,1.9742149625808985,1.886776053657851,2.119683001738648,2.1601997742405037,2.2889027040604053,2.2924102571164178,2.211708342694875,2.1262439774329844,2.157033452746649,2.2641784538938614,2.503753112716673,2.809745813089689,2.446552203091063,3.0101729998891926,3.5017004201766184,2.7978534077514805,2.8039865616096598,2.1212061797647483,2.557484380115289,2.5574738300214586,2.266835907445852,3.0754844352943205,3.8515783063767093,3.18554437868096,3.3569509127962127,2.849203840187669,2.412170415941962,2.228423086968804,2.356273271446752,2.378346871848453,2.2177102311357477,2.145634198741224,2.008284526070728,1.9619902717739726,1.8254460722331032,1.8282989042885012,2.0070148133940533,1.8371043247016439,2.081646076732593,1.9494849260326097,2.3548402407076465,2.1212092719771163,2.0871536588689015,2.152626396661861,2.253051612723246,2.1859320519209917,2.315676989528697,2.147310409664685,2.0801107606307183,2.1358160650572504,2.101922992159825,2.1773563858163794,2.0189959570005587,2.0806275144688184,2.0160982481559286,1.9940252965935308,2.0782733299302834,1.8900570999753012,1.7330916053254364,1.6525264960423098,1.5552057841144233,1.5380622056170523,1.5470005241614948,1.4208301904380631,1.4293139006958273,1.6189971199805877,1.589445687477392,1.7465940493025802,1.5725586261465851,2.104759099495405,1.5790707452007646,1.7081675240818495,1.808036529174141,1.3627749564192586,1.3544603069364625,1.2458164814031645,1.4690056212991467,1.3380436027826987,1.4938690130299241,1.4252027463881347,1.4482116158369438,1.6553901548724985,1.8409716510613299,1.9455780602598571,1.725127065659483,1.5650524709870017,1.3952982591580223,1.360931971633257,1.3474800000236486,1.2516575461897064,1.3781927742231985,1.110444305413116,1.3892745768899903,1.368673087821778,1.6237542510643592,1.4183232795355578,1.542468672401298,1.8282446890089001,1.8237169482569378,1.80135672160339,1.7878168907889809,1.537260464227095,1.6597763079770564,1.8480386153747743,2.3187820411125983,2.253689072696244,2.215063984544657,2.1197347395799886,2.0808871345541515,2.1356901450470342,2.035191119849409,1.9462987295469218,1.7009992781421015,1.5913173038604649,1.373879815987122,1.3405358813480983,1.1849146054603032,1.157967870471861,1.4968514344307626,1.6086887433080024,1.3570024258181907,1.433006991227041,1.4505471552073306,1.6133961233371281,1.616375242396702,1.7954212381896932,1.9613360290499042,2.0751673171886993,2.205956076129236,2.3360641262525554,2.3343849895874467,2.4623709940792415,2.835945662123976,2.5225409520390327,2.240463977791031,2.06950670145591,2.029821826537848,2.0865921323047067,2.041358665251079,1.9952654908685383,1.9569597726875398,1.8599089741121857,1.9485842941145457,2.075726160122827,2.0591865284647732,2.3004794401557604,1.9837037673309774,2.186851193872441,2.287461644014091,2.2646798109696213,2.382797321093198,2.3307138121662723,2.737764197456858,2.8047926598138324,2.8929548607447986,3.0591491473402663,2.8215198301404087,2.7131181066545587,2.397322536537396,1.908850713190816,1.8785227498543786,1.575922621190693,1.4268124059634653,1.2002434229681338,1.1670777641710464,1.1514538457352896,1.1411896338249499,1.1230658649330654,1.0770937612188964,1.0926642269218683,1.206034204338856,1.210481669164257,1.1780703858286536,1.189523453712559,1.3570815986470965,1.3804743736824967,1.3653142795045763,1.5129757371278676,1.7176263174200286,1.677197446998458,1.662852098422673,1.4440868052075342,1.371220994539777,1.228340025451939,1.2524064929644176,1.3010659331756265,1.4963922760907227,1.5787767856749428,1.374320247670955,1.3624274337721274,1.3193244189520945,1.3001524513437308,1.456469201102949,1.4052275388656392,1.3458240479730847,1.3700036891908474,1.587029493700842,1.4921491623006358,1.412479531784813,1.8803282208940881,1.9068572036807927,1.5482235301174445,1.6321963139846627,1.2576669235335594,1.3470157312217736,1.3640499677694118,1.270426287016357,1.3474455362361424,1.3069247168897047,1.387647101518241,1.2631736142143597,1.1925253075752367,1.2524238546351225,1.3150859724909945,1.1579292046828484,1.1965344795349948,1.3027365180666057,1.2787036230110658,1.2383490439075449,1.3066255226801835,1.5637842550229066,1.313468839492923,1.2107409899361508,1.1611326710593124,1.164715712823195,1.1646846844381726,1.160092598738042,1.1645327534196646,1.1416362333109276,1.1653132819889171,1.2219459167300948,1.1885450425537638,1.1757980229088845,1.4308176808997553,1.4909237538487652,1.265865975339566,1.3873598427699583,1.6700130493443737,1.670256770674081,1.4935650972041359,1.315047232228742,1.949493808386948,1.7047296763886315,1.5977246323207195,1.5252575745426038,1.3133906826481663,1.4809129752941923,1.602418306266675,1.3662619277850339,1.3593537501058737,1.1061434115963538,1.0880850293964903,1.0979058778999489,1.0920298453903101,1.1475168423764968,0.9290247175943148,1.0387944787914303,0.9648497733418303,1.0779560613316916,1.0033690857595206,0.8285871148257268,0.7814167241911151,0.91028421645367,1.0448873494404347,0.9706419235889415,1.1005035400384857,2.6006073398416283,2.56376420129879,3.1679111113928564],[1.258522857379913,1.0924074039941067,0.8653735542082006,0.5542714965112074,0.8099145831059079,0.7353447161680601,0.9549290831900772,1.0059227718343602,1.0028834326325693,1.1979928809207838,1.2572805792151318,1.234657624575802,1.4290106381133971,1.4089857391463243,1.615812739443151,1.6413527467838047,1.7207761016807124,1.934854342547833,2.1288167569811587,2.1762066662693695,2.292796651620048,2.391995491566189,2.3498126872960103,2.511978013291308,2.276870789197958,2.223192773734089,2.1590216361219445,2.0453229075977992,1.9638440977143026,1.7913291725214517,1.8589068648533698,1.7524448462614748,1.749490400037129,1.945087050561638,1.9704888889046654,2.0329524141272834,1.8879136700590282,2.1543332828844237,2.182602950838267,2.285831119542343,2.3248761794188173,2.301799126582269,2.21707485257642,2.2396654668939155,2.3517613790484533,2.6049563942550558,2.867851685348557,2.5159016619940258,3.0586807604098882,3.5145756480269505,2.809853636658568,2.850523940013841,2.13981085375045,2.564783623108705,2.5896706852165985,2.30196362167969,3.0904045478898117,3.9180918431163407,3.253209352713133,3.4591115443110816,2.9851618838847127,2.560628105184525,2.373008929078635,2.555066572993423,2.5657052237678175,2.360583445690107,2.348092693017134,2.169717539356697,2.156805917510515,1.9966196956524667,2.028903801406369,2.2195487356118138,2.0477262542604,2.2810588964863516,2.1121908057160463,2.5388278276597935,2.251851341139874,2.1984849816116143,2.237336366347452,2.3195288833796237,2.2051905890287395,2.3173638265832106,2.1078235819951834,2.014712376470205,2.095595788682189,2.0712003394888074,2.207955242424928,2.027094108578779,2.152607679845649,2.0858049278622275,2.0936227742044666,2.2131614156924098,2.00957297789505,1.8185752984617476,1.72263266824732,1.6402643053742916,1.5961043694245425,1.5672819598277676,1.4082027874940768,1.3671926379591952,1.5687714886988013,1.4725657843959372,1.6548493290288488,1.4248868313513543,1.9363881733997634,1.4123561753939549,1.490175050155805,1.6001468788073965,1.1516469907331428,1.159630674382393,1.0657141453330703,1.332687585556952,1.2462780833834162,1.4305577489043226,1.444240467740318,1.4826482327933748,1.7368698652128913,1.969059308461898,2.1503350420023732,1.870994155798691,1.7308146317119477,1.51483551552759,1.4740375366203082,1.4041837120419518,1.2534678233060723,1.3084985716168618,0.9814290588998745,1.2450871680755855,1.188633556325102,1.4361951741490582,1.2134367874631564,1.3112726809506243,1.624719751686573,1.6247334565076845,1.625890248344902,1.656938227109326,1.3977906364765955,1.5750550025383732,1.8196952174170182,2.30066418382797,2.294021857243146,2.2804838767791256,2.1993915769811183,2.112270092156917,2.158368018839663,2.0538438441269165,1.9449375929171613,1.6759044219474775,1.5142229653358452,1.2996859914778585,1.2158675291621446,1.0855940393305186,1.0292344643888887,1.4474693540949275,1.5469272910449823,1.2548549457684977,1.3508965698811224,1.334250553925384,1.5441746409855825,1.4920864266926779,1.7049629943093356,1.920837811671852,2.039722165275307,2.165887368479186,2.2570504681375123,2.278415943460587,2.3514396468762273,2.745550317581384,2.412129342272838,2.1535271242432628,1.9480518513414704,1.9452909569062928,1.9860923853929588,1.9345824750414606,1.9006123977961664,1.846233873140526,1.7909565013842408,1.8519969655580302,1.9924321088615926,1.9395234482917612,2.1835081980088153,1.8333218765220136,2.019324676924325,2.1215236629591923,2.118842420650739,2.297744621163614,2.294781726067732,2.7020804151480124,2.811746254384362,2.8323530194662325,2.9657122557109896,2.713441581166703,2.5743978315872234,2.233963405120986,1.762412624924754,1.7637158346757704,1.4052981876123107,1.2295666638269027,1.03945237600212,0.9729206959481681,0.9713538051586935,0.9298321098296684,0.9176486592991039,0.899696729234874,0.9218815539010119,1.0305803935115643,1.048959890134782,1.042193221050121,1.0490298294538205,1.2464793082800438,1.2898911858716515,1.297931604920154,1.4490335230494056,1.6932193240128075,1.687161795069677,1.6637045625164226,1.4335447674226491,1.3515882823787655,1.176270254612468,1.213375715892684,1.2951676461873725,1.5496023736660374,1.5721820603239876,1.3037488559496195,1.2537932505149048,1.21369000133666,1.1420749501347391,1.3765457351226689,1.3651879446435375,1.2473579148068716,1.2620384372650066,1.5617728635951826,1.4612979938927106,1.332933273549109,1.8288822503216633,1.964738756276629,1.5546826091184407,1.5741931969480256,1.1387127020165746,1.1505915866594218,1.2090771122186914,1.0887548250577341,1.152376097358497,1.0876704716274888,1.1881717599119945,1.065938700023599,0.9997103651930503,1.0415185798134854,1.116847676196967,0.9646694404851848,1.021402193776182,1.147170574491936,1.132947308442051,1.099890310203609,1.1844230096723134,1.4628411849776597,1.2199873786478495,1.1246024875377074,1.067031849158263,1.0382781282835192,0.995344371484285,1.0355912263602038,1.0784219310166667,1.0195000259009992,1.0368000989723247,1.1639882094940632,1.1299285786894653,1.0889474599852789,1.4091971412635125,1.5250999048167615,1.2332312645295553,1.3823671226606726,1.700255383825328,1.7066630622253733,1.4954320826045069,1.2691836173447193,1.9814576349755335,1.686632036961463,1.583017100630348,1.4455565876133307,1.2034025346760897,1.3721338174583102,1.4922150753154992,1.2212440526476933,1.2566652149027402,0.9769003151570941,0.9533965897607339,0.8931636605589987,0.8942847039268,0.9704171130203109,0.7525326187342155,0.8510293051477752,0.7870815133203064,0.9418797888125239,0.8461786115404294,0.7349942561751936,0.6766404447845176,0.7937499448051499,0.917472067049233,0.8569103425111948,1.0007763604098534,2.440155703130423,2.325563271187788,2.950811437060148],[1.2408836834498413,1.0760613977824443,0.7756791375075698,0.5143236724632012,0.7028367520080417,0.6780753404467759,0.8766808509773407,0.9048269163565401,0.9415905947313077,1.1335104501978486,1.1861331720803,1.1386165640111732,1.329233165285077,1.3527046916542234,1.5376335160082975,1.535157527974699,1.6311955159909377,1.8280294365014629,2.021122778841217,2.0339189768620174,2.1566916831354312,2.225781286763851,2.1928601358587296,2.3556545508926234,2.1124162866690894,2.080614201685221,2.008667398832915,1.9117309463611698,1.827868621659193,1.6474290164200414,1.7395668726796856,1.6094404023008937,1.6023260868574956,1.7892937407573848,1.8067441246642078,1.8769550154793537,1.711723811110385,1.975800314726208,1.9990335411067817,2.0637178833803618,2.1143027103929097,2.1174960564082874,2.0314023333275504,2.036012139678045,2.1793461529372453,2.4575761139158,2.7273355050368546,2.2864774571356348,2.962454268126061,3.37143087306379,2.5780474970731455,2.715233262486702,1.9301275584645816,2.3277764170334363,2.439355963147828,2.0402254525288104,2.702808708985624,3.6898053440122043,2.9915136982349435,3.185126017703846,2.757556433810988,2.353136045125913,2.1872472701958956,2.385462515568781,2.3845400732380773,2.1880231946766133,2.225849659536275,2.0509400130224487,2.076440383827099,1.926594864201227,1.9788816355582872,2.168323972042747,1.9884739951542487,2.1977925889076024,2.00280105543287,2.4280485595135133,2.0962997725421024,2.0322031650656904,2.0535161237322135,2.111809071689321,1.9897029841921614,2.097236372031604,1.9157512362209956,1.791429375834168,1.8887728619388862,1.8595761429622952,2.008522244269689,1.824683946979501,1.9809701820932415,1.9163171847081077,1.9500415648165244,2.08118896222439,1.895029596312591,1.7001774122506277,1.6147504492220768,1.5531282517628935,1.518642433991428,1.4555632651246821,1.2974679982420911,1.2444248424971662,1.4139653183296208,1.295859690035874,1.4663286693806143,1.2343362249675178,1.6874448335677819,1.2288765055274355,1.2709817319227943,1.4167726903157687,0.997751651527318,0.9907261421758279,0.9204467842346863,1.182682058416379,1.1290191840805688,1.3151700673839932,1.369355930806117,1.4057198529598551,1.6521637090068952,1.895022915669429,2.086781735269375,1.795328981169074,1.6973953749491772,1.481644055930447,1.4510432024487006,1.3614776644967286,1.1921461632928878,1.2098621037078123,0.8731896712367926,1.1042519057465499,1.028728606237489,1.2383721456503936,1.0308259315158501,1.1001098877614184,1.4091378226258888,1.391418302536081,1.4234243537445106,1.4957815801168406,1.2724124873118103,1.4552822051085996,1.7249936901780796,2.1650787226836643,2.1400982160976474,2.116530355212757,2.0448014845313347,1.9669663098831043,1.9893627526297535,1.9081092855271786,1.8074418467944882,1.5461006775492652,1.368432652040085,1.175641809799549,1.0725585769643724,0.9711873729448881,0.9309421416533453,1.4061133825366272,1.4683972767917137,1.1204042332308322,1.2117754109519234,1.1752977611579944,1.3883417634139403,1.313306939668706,1.5304255195252898,1.747871433838573,1.8681151881306384,1.9582194272385394,2.0292064242110035,2.0792021089164936,2.1425516807783542,2.5512893212060135,2.280446816447185,2.040932849681859,1.7907514848442634,1.7854190276302473,1.7875690297992988,1.7169546384711802,1.6839677336000094,1.6262711629803501,1.6029813819713843,1.6322987621666658,1.7639061696276837,1.6922676760480646,1.9368282135427501,1.607237473834939,1.761952286527073,1.8475929538221774,1.8636572203124324,2.038667978662434,2.0648291727475945,2.446982182897031,2.603780317086749,2.568052006155153,2.6934673326471383,2.4773212800849223,2.331546434218487,2.0235733534935023,1.5760980457554568,1.6299573924991484,1.2394914030715265,1.076162145238391,0.9494258801828759,0.8596141563970715,0.871373867527891,0.8081702191640857,0.8003455994845918,0.8277500504725221,0.8550261761699207,0.9700899983354134,0.9900412548719205,1.0039097176366403,1.022087969397196,1.2216309118877167,1.2694568951805616,1.3005920090804308,1.4524265182358798,1.6912692797624427,1.7093070959713215,1.6819343407606853,1.4575906616064396,1.349827806628767,1.1696926765492697,1.2172103677038282,1.2920860342951832,1.5592482989920684,1.5240210808539774,1.289876379184654,1.2043501359424187,1.1422641180357422,1.0330938707193793,1.2768035672166946,1.3008947502752124,1.1712953001362558,1.1688096320193833,1.4944816684586135,1.4205701652350045,1.2694332283478238,1.7458356727688022,1.9678549877887999,1.5534353795821652,1.5461119474950524,1.074822874302216,1.0002138934337006,1.0848338322285038,0.9612233998748422,1.018375930199381,0.9295084748527687,1.0484852030040308,0.9446647232076325,0.8991904232352377,0.9216051152987008,1.008672153897067,0.8926473834491722,0.9762998352981155,1.1170725039611835,1.105189155614094,1.0845382931319982,1.1859693885764568,1.464775991586464,1.2250323879370535,1.1450461104364955,1.0720571156973775,1.0171009076123874,0.9462714136578295,0.9735785780583827,1.0582594908763234,0.9871077906970981,0.9824992880070432,1.1368915390596377,1.1103012285810485,1.0538608439097334,1.3780111137522624,1.534623851377101,1.234908914848073,1.3858965092097322,1.6898892694646124,1.7173506642422993,1.5075140206446858,1.2647837930857007,1.9914116484000612,1.6858658690922694,1.560699628629012,1.3985212371292899,1.15570348429793,1.3190365869322715,1.411704572058141,1.1313375102731265,1.1975071061544647,0.9332200619640432,0.9178111720581653,0.787127383237489,0.7890630532043732,0.8468149813028236,0.6625703506319996,0.7439785779043833,0.7031036731811326,0.8480845658485212,0.7418825752388587,0.7067560035130209,0.6462271804700576,0.7174361038922706,0.8242253594801213,0.7957777064086319,0.915250421875549,2.2791961216006627,2.10321415956471,2.7437574149743256],[1.3311238480062046,1.0777311829034355,0.8193779836551438,0.5166513684953195,0.6207866845108317,0.6256343886943294,0.7409239568507389,0.7423416528735524,0.8236440240052373,0.9964823785772331,1.0583285580448953,0.9953409788484345,1.1688716655295226,1.2299742288624425,1.4135649541401476,1.3815485708845643,1.484347909011991,1.7018069293990798,1.932567944317895,1.9165070983276915,2.076173378554278,2.1425565768171775,2.153906698281285,2.3117398106689815,2.04115203054434,1.9958839331670737,1.8760693214005821,1.7566432761230242,1.6676417758904338,1.4662004314719983,1.604985850569322,1.4314359265623324,1.4411627007903016,1.6399161507229445,1.639614974276618,1.7219628710858534,1.5198705674063044,1.808605556974596,1.8245090845372305,1.8882927287429412,1.9618886713282828,1.9937825591141112,1.9108338345566334,1.929370816305713,2.115915304592246,2.3639748094086124,2.6894217709140817,2.2313342549400392,2.878727933413554,3.3559425387447854,2.553942486350885,2.593465668997424,1.84938175735092,2.1808709758297553,2.2790200133949314,1.9719289127589676,2.6260222241736018,3.5118240087308763,2.8708573428146864,3.0943457560256604,2.6572642897194503,2.2736208274742653,2.097204679379857,2.334746436917197,2.316611166669696,2.088517293658694,2.1639186858371584,1.9602093818967203,2.0189871850838195,1.8581031225377274,1.9349094676914698,2.16516400365255,1.9541507761083445,2.1676284730608413,1.9275445832769817,2.3662780729744357,2.0010458634789967,1.923366659542938,1.924804890391108,1.9818322578502512,1.8170427606878894,1.917006392160054,1.7006958352007266,1.5831397701595238,1.686052953140653,1.655998471602859,1.838242982752815,1.6412823778458163,1.8385526224556556,1.772884136628455,1.833800418860004,1.9963783481907946,1.795714525797319,1.5786879277406822,1.4856314174846723,1.4480219968116155,1.4053716718906741,1.2995728637196684,1.1255847163743609,1.0721412471331566,1.2163698643753458,1.0858660272845515,1.2412393956347123,1.0000445331702328,1.4554860955811137,0.9885639112262086,1.0436540800721281,1.195543954175574,0.7978109505168174,0.7829726412605282,0.7314943637753493,0.9521791014521213,0.9261501739106213,1.1082415879417995,1.1923910019432031,1.2399751437043351,1.4964477235222344,1.7487068662216112,1.9910422923488023,1.6828402718389823,1.5995080921823812,1.3645457461170254,1.3243028842507898,1.2081456606603038,1.0272166298267256,1.0123750432382435,0.7414245262627673,0.890651714935246,0.822099746589036,1.0020715696004638,0.8537228009724352,0.9212216926224072,1.1878736155287597,1.155200019687401,1.1871850484977242,1.2529712249710427,1.0588161228775808,1.2626027441483532,1.5575951838577953,1.9418553940250296,1.9650826161834758,1.987263839507808,1.902453746663157,1.7893883259149561,1.8085067375253843,1.720755898021331,1.6098907139563678,1.3410447083887276,1.1515293522612193,0.9837097387235213,0.8818724134339777,0.8076846019791317,0.8007718753346649,1.3102737950934633,1.3333201825455614,0.9285865956565303,1.013617684831493,0.962977202474524,1.174060771247449,1.080320951031097,1.293329572146431,1.5322388139114056,1.6551136381111131,1.753750489178136,1.8365972332402534,1.8970123523034033,1.9578029038600036,2.426582422964198,2.122103571172998,1.837269460181379,1.5774651863492724,1.5608564320588665,1.5579390271189242,1.4808386739358226,1.4493832015501613,1.3821012712914365,1.3812015237836608,1.3993822852145983,1.5361595260329113,1.4529974164092259,1.7321410173345042,1.3505931652594785,1.518570146904623,1.6242398505227946,1.6388169983002858,1.8425124578902847,1.884275367419098,2.3020227646068587,2.471271503383036,2.416024921801362,2.5357478206487913,2.2574715586956944,2.129573477183879,1.8104990802312964,1.4651149189702855,1.6257604756414135,1.1681694058592111,1.0283359278447788,0.9808520022989007,0.8195939839179363,0.931946665634259,0.766734817576722,0.713335682582962,0.87397367495838,0.9236228835974709,0.8891411669824579,0.9702939663255454,1.087144873835423,1.0263467608147125,1.1732796341109129,1.2899066553897207,1.3522758069095737,1.410229616974795,1.6964818606882897,1.7700645674883637,1.740928857189794,1.5903643955377404,1.5483856083913277,1.3522875833254009,1.4111920391826407,1.572943104110613,1.863558851402523,1.8321381352969026,1.497811025795176,1.4155560586714855,1.3806695201950863,1.2083369166794173,1.5219565867117193,1.5888090576832992,1.3799834884613098,1.37511036365478,1.7547112682727306,1.6589448310863701,1.4738688625156233,1.9533166555468233,2.2367883261906507,1.7731592722711602,1.669045046318002,1.2071174934660938,1.0130631093974518,1.2012923026059539,1.0607491577879442,1.0596479010174262,0.951106433367727,1.0102302355233308,0.9422260224273937,0.9486781025691863,0.870534900803034,0.9233347351181777,0.8373214660931538,0.8976880839251712,0.9776962450470678,1.0135490610881377,1.0715893940647425,1.1198336570102245,1.3505137433774843,1.2217888187175288,1.215761400009464,1.190733809200106,1.1537117133254307,1.0241243217956857,1.1657462122929374,1.2826629083365357,1.1389421352200775,1.1638834927681037,1.3991931442232592,1.3469588538714152,1.2542062646163938,1.6515876982765767,1.8161987924652798,1.457669927353751,1.6202926155833386,1.981173696035625,1.977406075670893,1.7349888576717871,1.4448459779217413,2.172374436433139,1.8177763100571598,1.7811359826862803,1.5314250808111207,1.253341804145138,1.318267916206433,1.4604795341962804,1.1791256381772395,1.2991695929321345,1.0162068604482437,1.0101097558793897,0.7440710640727953,0.7434374947327884,0.7176167167792706,0.6605485133210509,0.7009706848568074,0.7336551951403372,0.788397967715566,0.6596886095612783,0.8345211352985041,0.7492543030446914,0.6387199221242947,0.7394689105709883,0.7544398320319912,0.83947199877309,2.155145551858251,1.9517009761690896,2.6875263712110775],[1.376191575872541,1.1032758300796837,0.8555487143388214,0.4726267216673113,0.6757159514918615,0.6181095352046901,0.7419998696840588,0.7641647267121037,0.7797052127995965,0.9255311706670453,0.9795263424957209,0.9498619916772806,1.1089143475914074,1.1123243850803815,1.3004071014505592,1.2956273790013169,1.3711022589209922,1.5709950683212515,1.7734096337112095,1.7862190373623579,1.909129070522937,2.003280097759396,2.003951466907412,2.1450769353388,1.9172697839927388,1.8530053368327941,1.7677352065108443,1.6604429490744512,1.5856469801791444,1.4167428986921038,1.4997033870833665,1.3844804946181761,1.3854347395029265,1.568658011746571,1.586124786676144,1.6461435954806494,1.4983828948595883,1.7655562363096067,1.7842117452060546,1.8876266861057676,1.9239358007238139,1.9049944368826766,1.8242630420667558,1.862358552332825,2.0581434315121934,2.2604965516394753,2.6676664424420276,2.2154836931374535,2.8116541857943154,3.370208896523265,2.5993822674729175,2.5283255815178443,1.875476038418173,2.190843210993886,2.2399697218623698,2.0067407684272403,2.694656867456897,3.437154206086456,2.8409759993223314,3.047501927271053,2.5531167388501586,2.157947435715955,1.9761989823287018,2.165743756413363,2.15989630389599,1.958530502313054,1.9722842762400203,1.7979547681194972,1.8245560566330254,1.6776119892422392,1.7284049489433932,1.9569046720953065,1.7343533247434058,1.9626955790897311,1.764520112351354,2.177321204521252,1.8768669193109098,1.815722304848251,1.8462678371970778,1.925889028666504,1.7973143591890222,1.9122020862605391,1.714623861057278,1.6497383036967126,1.7085738781401494,1.6704049229224676,1.8017614526892738,1.6286945519495084,1.7572954477587746,1.6954226603826914,1.7223487652624758,1.8584531890350902,1.6608613071898346,1.4683427449819368,1.382980312892032,1.3247082756238453,1.3062187767393223,1.2377789277424567,1.086093249711045,1.0729637723040197,1.2166349752492527,1.1511775447323072,1.2906120825980905,1.0863535519042071,1.6177835538911374,1.089721165305346,1.218022155020309,1.3619584876891906,0.9243101684140832,0.8771651693258493,0.8244425920973006,1.0275918196372578,0.9525740930845159,1.1138847056120842,1.107648736696813,1.145707981567339,1.377128118168993,1.5933714408574309,1.780293225203261,1.516837304698831,1.4072524445402887,1.210981653858954,1.1738378908737483,1.1046119202585447,0.9749604109446435,1.0216883241977006,0.8107480556371295,0.9634264668803617,0.9326828794282551,1.134136110203132,1.003815227830179,1.0959362694119257,1.3517086480589082,1.3201959194069686,1.318643471550698,1.3307245392966354,1.1384315409839947,1.3102039368039518,1.5662802289607682,1.9131307028997557,1.8921684017965223,1.9176278527679735,1.8160562952909993,1.7283219893528197,1.7632892253132184,1.6738135695406566,1.5784503975468276,1.32225889110504,1.1759389584651825,0.9979614695523328,0.9396412383343614,0.8150251652239013,0.7903911339526488,1.2915622320461841,1.3519436554700432,0.9615021573589647,1.0380506462349819,1.0148361584003447,1.2041565169132988,1.16412939903475,1.337691542882035,1.5355243091259143,1.652027417600008,1.7721870716043984,1.9020503739679575,1.9193396425747458,2.03249277420707,2.489624902123196,2.165043239577937,1.842207937491131,1.6361725119566988,1.5913079391568976,1.616269225866149,1.5534198719653682,1.5113919767666224,1.4657197318604216,1.41251690798925,1.4759523762663522,1.5980988143561687,1.5543201600024728,1.8301213349690701,1.4623508108362886,1.6560685275148788,1.7772929349291124,1.7618299820218137,1.9224450571533076,1.913894937404421,2.3561762654805563,2.4539161747263067,2.4783735083802236,2.627752522174245,2.327611143590982,2.2438230679137696,1.9342003854260044,1.6133893846859675,1.731743611458195,1.3261900153024677,1.164086557049557,1.048195349995381,0.905206067267146,0.9944767413283829,0.8508439023247902,0.7916511852872514,0.8941778824591252,0.932721526517996,0.9014337893316405,0.9793089905010921,1.0561586292291936,0.994552609535909,1.1447825411190624,1.2577994817358782,1.2822449807263168,1.3446669167199097,1.64279908381714,1.6800955211026583,1.6612244091365607,1.489884729581987,1.4607055158525488,1.2720083133918096,1.3175368241369394,1.4791840099110427,1.7272822056512973,1.79197523968632,1.4699876070906694,1.4123100888176956,1.4026333400026627,1.2623139772588619,1.5787760096875825,1.588164469503337,1.4046911985888484,1.4268061868456607,1.7723728498252516,1.6485361085451313,1.498416097590937,2.0056073714245217,2.188993727000643,1.7308886898280222,1.679715979427828,1.2331067019275719,1.1379793830750184,1.2937300165664494,1.1409135329079114,1.1563699171570003,1.069320938933315,1.11209843501798,1.0247049548333456,1.0060392676886882,0.9406606491133896,0.9892225722379335,0.8628340394511441,0.8917884023880451,0.9648151603042504,0.9871563342933805,1.024424595229222,1.0607503440040116,1.3124875103543034,1.1498865255110318,1.1122182147946738,1.106133942289243,1.106427313895609,1.0169248743429933,1.1662909773501113,1.2249090948241204,1.0998829345512928,1.163353914775729,1.347071495466906,1.2887406664361845,1.224260630708413,1.606021262200388,1.7191008939420276,1.3771946666597823,1.5471376888408455,1.9001846180324322,1.8762283043207617,1.6349105029049003,1.367040758896857,2.0811048063612034,1.7514219150351114,1.697151256943278,1.5110038483441754,1.229575491056894,1.3297018710676862,1.5059296509693587,1.228557610678965,1.2972568208819732,0.9977595414865951,0.972338831213625,0.798395040511716,0.8109086655940162,0.7996504852237112,0.6918513969394207,0.7665606899466872,0.75854209997517,0.8323479534386192,0.729741500804646,0.8018532213171796,0.6928434430836374,0.6590085723367692,0.797345997509449,0.7693807812380099,0.9101879106406712,2.3359735507689705,2.209223235177663,2.869627006904825],[1.3518076984326357,1.1233438339120305,0.9090375779107339,0.5081727809226297,0.6906276591497721,0.6332109571005579,0.7203441907157083,0.7313432324264588,0.7244693436909864,0.8035012138692186,0.8330112317971895,0.8188583814940037,0.943740590822963,0.9324204745193789,1.0979944806293407,1.0771037180149656,1.1381056225364983,1.269865381067095,1.4179540090162712,1.422120292523874,1.4899504970081938,1.5689905776893103,1.558094425959324,1.6708174906585787,1.515129273158197,1.4543016051520345,1.4280762172548251,1.362491249990024,1.3074485823159845,1.1815992203329795,1.2236720484913053,1.1652611368871737,1.1480032853657474,1.2810866318975802,1.3105940479400595,1.3508828279491378,1.2458441806247476,1.4682834022317404,1.4868119583893586,1.5765853823761884,1.5839851619207994,1.529826945073157,1.446544951142178,1.4742462951818787,1.7612168925492104,1.9850199039457235,2.474835351331942,1.8391194862086075,2.670409006771196,3.2187845853111887,2.297311474321802,2.30492364614891,1.5702949318501742,1.8513283715043576,2.003039941558833,1.606358901137361,2.126288619201381,3.0433160795825303,2.4027879570304918,2.5621480425750236,2.075457243810673,1.7006776029882493,1.5467733024049037,1.692255086654907,1.6891095731681462,1.5424637309158067,1.5499767084673957,1.4237060264871595,1.4563740603090283,1.3571322898727223,1.4011221412620132,1.6224123099733538,1.3746877673737796,1.5866904376675521,1.3997325363343356,1.784739833739371,1.4904445742143924,1.4383425590318808,1.4802629895442596,1.5508165327561958,1.4684601441486107,1.612336416099264,1.481662908089917,1.4028125347648495,1.464779414589691,1.403468331058581,1.4792435412007368,1.3393832672193184,1.4202825369001073,1.3737931872012865,1.3936422833026005,1.508556902956295,1.3461145523183795,1.1895007703297338,1.1408220195981662,1.0916093114907506,1.1115093571280272,1.0497294551106429,0.9296715826713016,0.9692268330958264,1.0574511665081452,1.0518005628195748,1.1350591546716216,0.9836300983314982,1.4844809825273881,1.0167956870188177,1.1523311209761324,1.3143010630908558,0.9091700322508751,0.8442325568647381,0.8127930464424435,0.9666023172629479,0.8866718556536766,1.0112177571769367,0.9548194377099259,0.9716532702503762,1.1370750647393166,1.3089093001417724,1.4279165974773593,1.214429120569354,1.1385966606924907,0.9920030204550383,0.9734833224305426,0.9521632330551201,0.8778409212948907,0.9444241200972125,0.8051620326122421,0.9162277051945885,0.8965109670428957,1.0606662613766893,0.9465414200367468,1.0216664418965946,1.249666967940608,1.2031932977533581,1.2097907869810434,1.2347020247517067,1.0899971634895298,1.219078911070273,1.4582586209668842,1.7323607134845047,1.6103490756965206,1.6089737056382685,1.4923449719488484,1.469719093879752,1.4851472745874414,1.4341420741708215,1.3712977047723622,1.1550628337564348,1.0503485356183213,0.9006186717166212,0.8850243452237497,0.7643821799548755,0.7584632040420377,1.2781745196753653,1.3046664194412463,0.8877922262164443,0.9331501001004362,0.9240249635210184,1.0646770397184842,1.0522969785521308,1.1924385691143746,1.33025097242198,1.4393412253731026,1.5208554217011272,1.6573339368200857,1.6868000596463721,1.854981550498753,2.3251906824193336,2.1018852826579186,1.7757496243218027,1.5356891521951626,1.4551077111083581,1.4473393058501385,1.3693297792961328,1.3149683859266572,1.290425047746229,1.225292789098641,1.2863852529685862,1.380109489176413,1.35515093774577,1.643143821808714,1.317896002639245,1.4846519759428367,1.5694116823754363,1.5535530310727539,1.6419147423074483,1.6270895498670026,2.0170245832507208,2.151907029389554,2.152557466499348,2.324905925142568,2.090253902000103,2.0757435501632817,1.8125346642023206,1.4823981716298735,1.6333084101781432,1.2139728553784292,1.0780611539708884,0.9715372572212748,0.8579043380985599,0.9075788221245054,0.8123023127519353,0.780157018185686,0.8544654311488219,0.8816852638222036,0.9292150237347164,0.9993559536211101,1.0322920846594643,0.9999236310298352,1.1841860416575192,1.2719757206954263,1.2804977190987923,1.3776382976939812,1.6542862517815164,1.6625467570567611,1.6402289366352165,1.4371874323572784,1.3601650715881826,1.1842466473701565,1.2162724725252525,1.294531268436289,1.5361604107925284,1.5563436259501142,1.2969973607885252,1.24025728665291,1.1906263001725264,1.1006662969800036,1.3455509927917504,1.3419458204370396,1.2228157907509036,1.230329025924335,1.5233079889538508,1.4302826345086337,1.3125409409179842,1.7994841405486173,1.9585707830725425,1.5481855823817738,1.5742837213874676,1.1166331109752217,1.0356569482115539,1.1435768022890878,1.019574024449626,1.0570158902404656,0.9813396885714156,1.051994778026389,0.9584926467143711,0.9353615879283054,0.9124125856590969,0.9813663651742426,0.8596253898672648,0.9092432790056082,1.003613324883066,1.0251845812109075,1.0380986177055362,1.097087976677986,1.3522420658090248,1.1619533813724865,1.0892284778812318,1.0561951986851905,1.030907189999653,0.9601130040502642,1.0272647581587704,1.0895329148306323,1.0200122136355294,1.0310503577149865,1.1673845820250615,1.14000761613645,1.0924427837692765,1.3966674694688386,1.5091444723172232,1.2392504442365757,1.382077804727343,1.6617440107298989,1.6741393309353054,1.4835979194252915,1.2771499315457941,1.950923704234537,1.697178328972265,1.5874519689059936,1.4813173078610848,1.2188866397668527,1.360027785726486,1.532546585306166,1.2423978114263816,1.2764538655911548,0.9670698881349998,0.92953785814802,0.8050538964185149,0.7878761857229047,0.7903566597162845,0.7061207870065491,0.769048549556214,0.7613202512637487,0.8430988453833378,0.7442188810100594,0.7969577483994076,0.7000685593783995,0.6705860103284476,0.8354995599127683,0.8081921020156557,0.9169079567085004,2.339882239985462,2.2261456547960528,2.8702926077587065],[1.3982929757548113,1.1173775707242104,0.8098220861568657,0.4638288550666501,0.5752369939371702,0.5702119720910113,0.5751493671231609,0.5664048741570187,0.61658667117629,0.6946189951251434,0.7343208852674548,0.693689097218479,0.8044540739768129,0.8647258014827144,1.021855148322923,0.9558059218479158,1.0479371205417265,1.204600003586934,1.3978219836705794,1.362812479731385,1.4841726166169533,1.5402445035969228,1.5818648591045388,1.7120012536297582,1.4977332045302634,1.437462649116379,1.3499280496282768,1.26633970631291,1.1894348492972158,1.02334616758001,1.133677685458501,0.9978749531022346,0.9987637047366427,1.1500103458429551,1.1596447476947618,1.2269040042427413,1.0561916417630355,1.3106373451441733,1.328175856344074,1.4017938718938256,1.4442215510008731,1.4397521300017828,1.3651157953047757,1.3958130498323487,1.7341398822749146,1.951562211187436,2.454604297516817,1.7862109780666602,2.6161286790651577,3.162806578320406,2.195461325653746,2.213779261800757,1.4687853097724337,1.6996087060141483,1.8957508117623074,1.4840125988402788,1.9305181505671989,2.8922365393310474,2.2572255349816444,2.45500453174937,1.9968987569880348,1.645016506827708,1.4914826313742788,1.6969521322832024,1.6794118729220682,1.4932475672596253,1.5657317562132533,1.4012277570087088,1.4798363100191045,1.370977747396903,1.444638512805081,1.6863925432250426,1.4327158925546792,1.628516561527581,1.386277750367169,1.793629831473552,1.4372301379064736,1.3583679836765563,1.3661486751460399,1.4217212297200794,1.285890234447595,1.430570341641597,1.2719288220852643,1.180593940766699,1.2663753554067212,1.1866927969594818,1.3133207163045446,1.155371602676361,1.3039757740926357,1.253784047909665,1.312126174538756,1.4670536844747464,1.2918336368154733,1.1037248137611122,1.0447832071449181,1.0297356095004466,1.0199311018860013,0.9188249235136549,0.7757942404649186,0.8066304612594936,0.8439290228865556,0.8142976039168629,0.8809011306024538,0.7128660985923503,1.1695219093208031,0.7457577078664546,0.8706357567400852,1.064042063573182,0.7117740601060315,0.5994146033193818,0.6148528315813865,0.7079919690905658,0.6654725644361315,0.7981001893319785,0.8204781001862625,0.8626269778269272,1.0571681272940805,1.2665761877533912,1.453215325698052,1.1909364524760002,1.1536984347819237,0.96311148465823,0.9410604029729274,0.856356516859921,0.7312402148794575,0.7402944645312404,0.691019816463627,0.6739896690327182,0.6532716999878705,0.7707938119007128,0.7387315313318676,0.8022259855154041,0.9756813719118579,0.9053819244219493,0.9296616526550542,0.9732449539867659,0.8620930359569575,1.0151859983954497,1.2928853801154188,1.5445759340964575,1.4893592690358264,1.5344311720158503,1.4030768420746227,1.3313093326567231,1.3314666976690455,1.2737127422037589,1.1939850246279282,0.9589422477713292,0.8176845843199917,0.6887960818071917,0.6644639875942557,0.5894787201256909,0.6626407868358151,1.235239497520429,1.2074568075927077,0.6865696567110353,0.7206425291194759,0.6768755172576894,0.833912204740965,0.7863319691832126,0.9401498950199556,1.1127002511702335,1.2336172814351385,1.3010270522395586,1.4277075985968388,1.475753171451624,1.6347621311780032,2.1581060901587428,1.9333420653297813,1.5986804287466054,1.3126561068013267,1.227981518464788,1.1939030174376768,1.1021254000304788,1.046934561653066,1.0003332356426649,0.9864582087239814,1.015758047552848,1.1207877905635462,1.0621072505802365,1.3948583709020257,1.0059951107971026,1.1677673042497607,1.2684572965450482,1.269139913965597,1.3996289887697853,1.4460708096509556,1.8301813872860304,2.018015929698943,1.9473108868735467,2.0974472364728003,1.846504548163388,1.8165557570671664,1.5564038771623088,1.3425908075506972,1.5964636556166414,1.0882329254739127,0.9966851918059719,1.0002062743585376,0.8270398898146155,0.9475842079219087,0.7615789961949226,0.6947675958721601,0.8766005285095688,0.9234110196893279,0.852167834479978,0.9419193860575013,1.0720211195986757,1.010648962297528,1.1363557494060916,1.2670116024671005,1.3259901469482986,1.3662716261454266,1.6660121574149285,1.7371818993403814,1.710649502429733,1.5561006818855996,1.482440081649801,1.309861223031077,1.357811531015429,1.5098776206627997,1.7687118314262804,1.7461695545372078,1.457481261699093,1.3810343584673686,1.3606914237550727,1.2026580848075286,1.5129073066291623,1.55783662449404,1.3720498222228323,1.3779624697327775,1.7219092481688356,1.636199106689967,1.478360693355925,1.9302196842796697,2.2152559207502485,1.7715191173805895,1.6854083765265908,1.2292960509838708,1.006257464023135,1.2097046746314974,1.0625706167171383,1.0604959855797778,0.9481280376877708,0.9908924313674581,0.9340741498696687,0.9516149232395308,0.8383295428014017,0.87555747265821,0.8252875593349599,0.8715848378746821,0.9231939612607569,0.9725578982124627,1.054394790136808,1.0890838655487662,1.3107552996702223,1.1963979111440253,1.192427987132676,1.1707594074190775,1.140139579384325,1.0214402194682584,1.1657491889308427,1.2551681347666168,1.127173884910965,1.1579852247240312,1.3615605926731682,1.312749954332402,1.2410582879844743,1.6035139800537015,1.7478843361420389,1.41657117499672,1.5965163191312666,1.8999930131246772,1.8901600767778595,1.6670449743971933,1.3893383486122874,2.0811484218999396,1.7407447493157011,1.6885399833056474,1.4886440060802881,1.2178888579608644,1.2895774498615626,1.4452825566229264,1.147932758276956,1.2555745677449892,0.9931811104197162,0.9996429433289603,0.7117392469112683,0.745157945430018,0.6308391810215834,0.6742446208323765,0.7267663661938404,0.7852279280419308,0.7963188885364726,0.6719445907398636,0.897826817924074,0.8213924241895639,0.5953988267905836,0.6663838589317754,0.6861374724407433,0.7858419436276315,2.053444258002091,1.8446097725295953,2.6049731592272813],[1.5258297896721496,1.153124160872618,0.9038889784173735,0.5125615434155866,0.6445632741513095,0.6317076620272902,0.586774373771512,0.5787685722713247,0.5820237134980697,0.6182319336520685,0.6503761186015666,0.6301197690162872,0.7105677498399328,0.7550104902037799,0.9157523969705563,0.851645625147358,0.9224765716792996,1.081833296301827,1.289687503910836,1.247099103483782,1.3691378818213178,1.4401933572977474,1.507387870390497,1.6205007986914102,1.4324473832153353,1.3424778079285193,1.2435268859577473,1.1461454780626612,1.0761792195962667,0.921100939970931,1.0190478335159339,0.90050955424403,0.9016857496512509,1.0446186742284629,1.0603408458239167,1.1204552343308563,0.9730358699157828,1.2273104080555752,1.238167123448623,1.3352463091596485,1.363332906292764,1.345775282990281,1.282004207158878,1.339579705374597,1.7150442812200148,1.8851957339032155,2.4700009634051128,1.7900460167884051,2.579606900203698,3.2286747910539098,2.2819906031054065,2.143316185739781,1.5075379666613054,1.641572505195693,1.8067691906308223,1.5213144645520194,1.9464637630872257,2.7242793772588745,2.178731548531813,2.3652836927285983,1.879553555138384,1.54959557143073,1.3890144506387387,1.5867787025755231,1.5661697305765658,1.3862750087146845,1.439372840796924,1.2740488582686296,1.36194568289995,1.2409747474205612,1.3234376855919394,1.5793963622934566,1.2964046060891838,1.5222674132003073,1.2638419999256885,1.6486466063915806,1.3285011757527443,1.2540075299526938,1.2776042702314905,1.355207583155178,1.2147080008919529,1.3619441356179922,1.2018721707033941,1.161629254489799,1.1964798392455525,1.115830132227139,1.231265383859548,1.0809101834198096,1.2031677587673566,1.1490539405690114,1.202226494481122,1.3483199972528708,1.181779485341162,0.9925611763292614,0.9367561455000305,0.9261266004857337,0.9431927520186231,0.8306509488521066,0.7027455124075588,0.7638518183576525,0.7815928094455985,0.8072656361238747,0.8350806121715589,0.712700574795894,1.190641750390394,0.7434885219577119,0.9134242109980485,1.0907010991629134,0.7464777400156186,0.6390163316710259,0.6643968772699766,0.6945219097221326,0.6440869044585545,0.7377264511770824,0.709954447454367,0.7529010939511327,0.9248398681772227,1.1196885625939756,1.307855658785414,1.0525150057590915,1.0095886826170675,0.8314370646224415,0.8126535229238453,0.7418015233313,0.6493106796445465,0.6924142726767236,0.7604346887575897,0.6594654581461248,0.6845011226880791,0.786097238615027,0.811885754107573,0.8810941065659995,0.988456562855947,0.9276312176175658,0.9176800904662057,0.917928848666165,0.8360595462675716,0.9912162988705526,1.2501931711246812,1.4141083306471043,1.3814609921595558,1.4687883937962698,1.3090827461295131,1.2319076704481102,1.2356891497969253,1.173115505972263,1.1015065496084142,0.8786442414494265,0.769520229874653,0.6555694730748222,0.6832744769309036,0.6005022537465562,0.7134010684430008,1.2109006183992896,1.170538159445474,0.6811222208842992,0.685835994308651,0.6676371249438195,0.7829865125591989,0.7658849181095359,0.8772792029724092,1.031032994945555,1.141180010699455,1.224937265428692,1.3756307374578576,1.4218922247126087,1.5714085231616743,2.1011686912310994,1.8446199542719737,1.4719911464105018,1.2327772618633488,1.143722651335054,1.1245372446259498,1.042982278216962,0.9885336695529018,0.9555526039430022,0.9206327332004717,0.9827173086668105,1.0549915176227924,1.0268379123608191,1.3576420030213336,0.9651655038342498,1.1385010054370728,1.256335933333065,1.2340074048509218,1.3472885017858027,1.3916198160136708,1.799942469055353,1.9470842246547513,1.901441413301956,2.046516063813747,1.7398183457963472,1.7606628551694175,1.5233595120258778,1.463404049323913,1.719430763020701,1.2000491927582464,1.1127134125119078,1.1193498585663288,0.936133231233712,1.1022668162132976,0.8984494982821872,0.7946389413977883,0.9916158358971339,1.0597058103912402,0.9009798199846696,0.9907690415612094,1.154577621337973,1.0720792199579503,1.135056725456454,1.292070065784552,1.3523181843254726,1.3377222028470455,1.6566147560556317,1.7283698670299303,1.7108126772715684,1.5969473103070873,1.5763377896036024,1.4070073730853123,1.464307597249473,1.6673178718697133,1.9217109914045143,1.9585200586121556,1.647968760033061,1.580664991386232,1.5982115161891146,1.4248090295492704,1.7824874342697863,1.8020321136765989,1.5780614098514711,1.6055242199870816,1.960644575384838,1.84149396456846,1.6759386258616165,2.1421577469684845,2.399124890712264,1.9173762745616332,1.8080727228706712,1.3782317838628304,1.1728834107950912,1.4169311757887895,1.2618455923453384,1.2488029179630282,1.1490861837863366,1.1454907800706169,1.093960029792737,1.12415534433128,0.9809112603563487,0.9836280730861126,0.9236126980665733,0.9413648647212949,0.9260110826598865,0.985507960351126,1.1105592627408156,1.0977373633212766,1.2700398359941456,1.217873992677148,1.2492874596983659,1.262842527383538,1.2723180415310302,1.1483915520587724,1.3580095746453649,1.41906304696979,1.2574069110469415,1.3360168992295547,1.5432561578269308,1.4627133149660057,1.3944337302534016,1.7926140844702627,1.8979247147090952,1.5372060013590214,1.7349499296986182,2.0751916994429185,2.018011173185856,1.7656633602187735,1.4647355725090145,2.1632253288136107,1.7952297592770132,1.7919891681984046,1.569326991163429,1.2857943483645757,1.3259552750538417,1.5260377093101805,1.2352062605132148,1.320563365294694,1.0526324601162034,1.0758975739648422,0.7856469282694135,0.8366747411736786,0.6904907230628287,0.7691152009347351,0.8419746850326508,0.9041688711395363,0.8707582135121092,0.7628833554535612,1.0087412847604433,0.9115673142789489,0.6671410996983774,0.7300424003433001,0.7553656001420422,0.8756509778781335,2.175095925663731,2.0309029564240286,2.7659379381631437],[1.5196438885486674,1.1624040322230078,0.9598907393019622,0.5327153549547378,0.6875750197930843,0.6763149626735383,0.6449252632969309,0.6378895507064556,0.6176499569188432,0.6161299331281922,0.6360472504154506,0.6463757650290863,0.6966526201514941,0.6983296462279345,0.8476011147185722,0.7998697048080939,0.8422743596841453,0.9666592384242692,1.1429507203805018,1.1016180487977776,1.192489623252048,1.2648007045211265,1.3390616255949073,1.4264405079861309,1.2962502265854337,1.1867353808843928,1.1164026903839774,1.036122058793315,0.9873623518168494,0.8724352485060866,0.9315837211105542,0.8675557705657745,0.8596998971616114,0.9710587215667934,0.9961807995102652,1.0336967403827928,0.9323580207298012,1.1523256708529546,1.152669846713703,1.260643634616073,1.258973358234593,1.2136211871865923,1.1626757200175901,1.2232152356581871,1.6708242096233612,1.8088908646805348,2.4731835377076816,1.7148820063326216,2.53287806840486,3.2043587262143998,2.217454623979001,2.0596137911348107,1.4619317251495285,1.5562901869501227,1.7383007655250056,1.4417276806729766,1.7864176422427713,2.562142295668029,2.0266726384633906,2.1717812691865275,1.6741651001536124,1.3727958980200787,1.2251091723174719,1.3780203419760753,1.3670564082011885,1.2311431187754338,1.2499893742324855,1.1144442541053352,1.1938564576995934,1.0971259485436657,1.1701908781783685,1.4212074815414364,1.1204756556871729,1.3526794618770996,1.1115850877057367,1.4554002650919375,1.1834429734591392,1.1251655158906877,1.1684765168435611,1.258972572649106,1.1448032028083062,1.3002429612274509,1.166325959203454,1.1445125955337057,1.1515182248515152,1.072320222072812,1.1491850566418513,1.0327472584374215,1.1007959251157173,1.0550523587040967,1.0862184436790392,1.2044475806642168,1.0595059197768593,0.9055132026176931,0.866557722475477,0.852853704105923,0.89980292594913,0.8106887284526458,0.7148117626112223,0.7959142947392454,0.7983283543417653,0.8621994708243989,0.862586718486012,0.7672236191685496,1.241456159949735,0.7870128580836498,0.9788791208829835,1.1495293070976424,0.7948359831866456,0.6949790941494017,0.7192793325306659,0.7528014036880369,0.6984241477515701,0.7587151162142228,0.6848541043693982,0.7038976221276352,0.835071742512588,0.9781629332259615,1.1265734081427765,0.9199316040907307,0.879402934975553,0.7441814253512762,0.7271397157971197,0.6901099630636721,0.6569485164220029,0.7274917228579301,0.8135127609608155,0.718858232631757,0.7390260183729471,0.8412637320839578,0.8510238365346727,0.9219618952240697,1.0334715800500667,0.9769900468255469,0.9565073680314459,0.9448298606691549,0.8728535421030389,1.0098239575167658,1.2384019245681845,1.349232464740266,1.264015771349453,1.3598145385688816,1.1920067274074877,1.1451117262940635,1.150566427147766,1.1038496302806846,1.0512930439649313,0.8650598495460706,0.796429901609264,0.6990691836918752,0.7482536938931094,0.6587982923539534,0.7486938605769836,1.2290519687491934,1.1885272932841635,0.7398820359332925,0.7334923294878671,0.7268293015783713,0.8115165509102427,0.8125565187276916,0.8904358479524156,1.003754382634987,1.093120922770412,1.173107013670831,1.3357964430785574,1.3538171175780727,1.5471027318425008,2.0708357279565988,1.8423097249705596,1.4507619753027385,1.2322624860327378,1.1246759870767384,1.112128886296831,1.040835491676161,0.9862506215555766,0.9729145387993664,0.9194795959353688,0.9969409319779031,1.0433980406595245,1.0403490561132285,1.362071882830367,0.9941572679858983,1.1619000361753138,1.2673750481168762,1.2318584265785888,1.301418470473879,1.3308208697251038,1.7122021266912704,1.849764413299128,1.8210486867306304,1.9780581733037925,1.6959916358013503,1.757585195494372,1.5400876156191774,1.461153509852725,1.7002885199377211,1.2221661539479878,1.1231249793965972,1.0922439760890208,0.9331603485200326,1.064443758897802,0.8905556631044056,0.8012966836443289,0.956315397376767,1.0066747777389846,0.8909761059806222,0.9859181443522904,1.1023638439978893,1.0244773122554471,1.114852693421768,1.2600525628663837,1.2896008442222928,1.2960122941530885,1.6137421442614257,1.6482656251077432,1.640754058881657,1.5010183511322077,1.4836102938532216,1.3148408067924466,1.356490006563679,1.5187865575130641,1.7539346272977463,1.8123522847164075,1.5308343975678627,1.475595216083722,1.475949709055774,1.3389156356467193,1.656475578431662,1.6520158953428543,1.4738241484621117,1.5064686218627934,1.8253478147640745,1.7059803231323714,1.5730789142521118,2.0466863787271325,2.2400014159130515,1.7926714633817185,1.7495825926060118,1.3159087397329217,1.1606978876652216,1.3643878797400248,1.2096164103284424,1.215497498347416,1.1206090484825613,1.1399590239127322,1.0732790552501923,1.0893436924496605,0.9747258031038132,0.9871600087759146,0.8947209075419404,0.9064940613342082,0.9111146109497134,0.9590759224073853,1.0496867460981296,1.0444797656478597,1.2454523657977794,1.1495752877723686,1.1458013444769284,1.1602807078772317,1.18037547590555,1.0826762129362557,1.2596049630522346,1.300031751056395,1.1725668968799354,1.2448637689968325,1.4117487954089534,1.350843620674701,1.2973437596680004,1.6513793292677026,1.7390880148533567,1.4199627772509185,1.608207964858275,1.9139393545715682,1.8694078447050473,1.6473525334873405,1.3937859451434969,2.0774637362007295,1.7704677184027497,1.7222781344339952,1.5628734339781352,1.2702748091679816,1.3346589996652407,1.5621905467632715,1.275667522277699,1.3389278830222278,1.0340225265755774,1.0213184913580033,0.8029323070043717,0.8358502229446276,0.7375311788517513,0.7840276909816873,0.8597635081698543,0.8968552435103039,0.9033108155828787,0.7992884703661999,0.992839835440408,0.8856437291934585,0.7167141231555406,0.807733797652304,0.8048673137075435,0.9742919542985203,2.3248157608554374,2.2295812671765995,2.9234195369552713],[1.5406746794880148,1.1777487388516963,0.9259077455751586,0.5626036006529259,0.6908475367678627,0.6836364443551384,0.5930423410952756,0.5933068653582615,0.5628906902301347,0.5035691125251293,0.518909815072029,0.5505266343987594,0.5437489650156236,0.5599379018455163,0.6960487117584566,0.6167429883189193,0.6472880447584932,0.7400392305884849,0.9184218187086177,0.8502710892065489,0.9436778458892722,1.0026707518853888,1.116050623583719,1.1945908237639404,1.0906412144177966,0.9548694634926225,0.8772531656261836,0.8061190160692691,0.7564841089256671,0.6583090302009239,0.7235383901889031,0.6595379774144883,0.6535263755437839,0.7424021994288876,0.7633787521130025,0.7950193262444091,0.7092851940186186,0.9005136654482471,0.8949001940458552,1.0018992224698837,0.9995430093492474,0.9572880330976725,0.9264568266516139,1.018140358201894,1.5958768180238532,1.7597083302059369,2.44577035502225,1.5617133999703245,2.52722997404487,3.143080836174573,2.0284693774074896,1.9680115756512409,1.3291756588922499,1.3029959944503937,1.606576870364764,1.2156310948905051,1.2971830800097752,2.215677553987254,1.664716066904494,1.8169415789108443,1.3472990378698817,1.086522774886352,0.9500189057977396,1.0975960655644403,1.0942090295994733,0.9724629931406558,1.0153238988521098,0.874544409108751,0.9853173693305801,0.90102030744002,1.007074685059724,1.2561202267525773,0.9375045182768394,1.1414822723823963,0.8875038215867475,1.2481064367622734,0.9273904684971513,0.8634523582417846,0.8996677053102311,0.9911123733204269,0.8704339202892645,1.052977199455294,0.9670320493756548,0.9495346052422352,0.9592786562092648,0.8225332529783824,0.8764533274420127,0.809384142771207,0.8466796983562765,0.8154010809242421,0.8564692802544372,0.9833208978174094,0.8525692355767674,0.7001028536223798,0.6793230925657473,0.6991059030221929,0.7432407089253039,0.6470291946573077,0.5844813387017067,0.7319158469482002,0.6316920209446737,0.7398457443982276,0.6806783350372754,0.6515906377774247,1.0028966933467638,0.6967902295241983,0.8449712271586796,1.0386941217655499,0.7771899187782114,0.647865949816303,0.7026780265234843,0.6343741329616508,0.5791957211368786,0.5993732545616252,0.5215844207895869,0.5505934348386612,0.6460133295467415,0.7906536123907256,0.940020137384524,0.7160949533500184,0.7160791558262632,0.5916618864130997,0.5802118799963684,0.5413182693164696,0.5185112575387056,0.581782949561303,0.8373398610169238,0.5997300186306584,0.6646796231080163,0.7037574801623716,0.7962483217739328,0.8456394738861328,0.8720518663359517,0.7950040204947671,0.790073240402892,0.7793751090578835,0.765157095470739,0.8629716811623577,1.081986911029926,1.1331978392174635,1.0599987192712501,1.1735161401875325,0.9633653129539202,0.9247864012605287,0.9142504035416216,0.8818744899736349,0.8349342288388125,0.6774587953829331,0.6251785531270873,0.5667165253193767,0.6674675017260927,0.6104066006730008,0.7786162179092708,1.2460486048435624,1.1637029100473721,0.6675277210967182,0.614491479872959,0.6047338725031156,0.6327315686307943,0.6576081313824762,0.6985501052717499,0.7805221803601655,0.8650638878374316,0.9083024975718398,1.0689235002253024,1.1072071508571577,1.3268715924201682,1.8776012141239031,1.7262795697289937,1.3544616300771906,1.0796329866487362,0.9425923171773317,0.897725523595578,0.8254139951272846,0.7630269815309053,0.7390214256195401,0.7222821731972393,0.7835929443109949,0.8084499209211536,0.8030088172058869,1.1684097409933878,0.7645358075208134,0.8937205438812835,1.005086674678972,0.9873855708166466,1.0437713088805545,1.1084839145169856,1.4137749289180168,1.6915149518236594,1.5615894475624141,1.6812995765578158,1.447975805645754,1.5290662116649212,1.3291468333478353,1.3554270168072156,1.6766119050146795,1.1143072846941957,1.075428764205281,1.1224960269535296,0.9663614393900755,1.072682877423019,0.8933885109290906,0.8140756339638556,0.9781553422742432,1.0246171414056415,0.9027348058326148,0.9773327573812312,1.1199763676175118,1.0533673071042553,1.1344432125466501,1.27400049440798,1.3221838931958483,1.336218108486046,1.6466634372843187,1.6966054617039912,1.6744932646418829,1.533034869174326,1.459347213387449,1.311306767753422,1.3524199772203893,1.4970291737634658,1.7269976891643921,1.7236509517588472,1.4685375464008357,1.4165431883585484,1.4252440677080682,1.2999896765090924,1.6032241444237267,1.6061289900060551,1.4540085268549485,1.4796669493202086,1.7659597887111345,1.6807158026591287,1.5717672227228356,1.9942164875906443,2.2594492530190275,1.822995632871152,1.785958894808284,1.3395382866016405,1.1194999972603932,1.3374893522301745,1.1865621135724942,1.1963516484807728,1.0748914717035372,1.1137872636410053,1.0674460924214013,1.0794757655742377,0.9635460207372619,0.9817418849321805,0.9144754961968009,0.9383555763427932,0.9413472377177754,0.9927458922415294,1.094551474329581,1.0992000738761896,1.278994896580139,1.200064707046158,1.2079118200241457,1.2037322706689224,1.1952797003635396,1.0963703534770766,1.2462163156747585,1.2963590749343805,1.1824675031514882,1.2320714605005556,1.3932985728268947,1.3397538753786442,1.301330100119174,1.623309164791824,1.7200231253640588,1.4284558982426327,1.633774946374973,1.8727370979453544,1.8419801697471463,1.6445791624299881,1.3844941466127387,2.028248250022455,1.7162634185537973,1.6690776808876118,1.5210410977061375,1.2442168812431251,1.3077695724753822,1.5041161794493216,1.1935556209874747,1.2856061147418834,1.0298252443936677,1.0580587761273559,0.7945106141498273,0.8780304360970759,0.7039974027099222,0.8142138645700168,0.8917969825005241,0.9535571662540268,0.9313225696323055,0.8179963787708252,1.0624213084246266,0.9893669379026533,0.7240612257874722,0.7193902860772802,0.7541362131437924,0.8735552363437408,2.084240679363577,1.9403961379944838,2.7143814471543606],[1.6619485809916148,1.2392153601284377,1.0524262253477643,0.6650592113285339,0.8065544448693805,0.7557253454082286,0.6362071805457526,0.6501939754440059,0.5926735899583055,0.5196911807814503,0.5433781654453079,0.5610865622271209,0.5508383673536599,0.597832816265445,0.7322266714855985,0.6400899988207924,0.6904498275722116,0.8086803595904668,1.0245243757326203,0.9417221107589998,1.0715149158569153,1.1206884187755417,1.2526558550026656,1.3472435957988504,1.2064076360665066,1.073854391362272,0.9526552968637936,0.8649950966821951,0.7992947659374173,0.6768502137071744,0.7652618340567588,0.6680158354711148,0.6723234762018788,0.7670118194143056,0.7830975911717796,0.8324077374308703,0.7275996959875136,0.9407223558114597,0.9382324629734673,1.0508375050758305,1.0602980729170408,1.0360791474967794,1.008519981467344,1.1074246619396177,1.6237596062917272,1.776835841286879,2.45330328966696,1.6451236094806012,2.5313556408551188,3.213815624386663,2.1579304276104203,1.9791073301694702,1.4048288347849247,1.3700574206928609,1.6151662465516445,1.3148298803848322,1.4589773237595947,2.252133435763076,1.7518350464610786,1.9195661622231515,1.4575171519441736,1.2024019176348653,1.0592724319780504,1.2471636296862803,1.2314818914093646,1.0729776027069717,1.1396737540950381,0.9798029699280242,1.1116655824550548,1.0047041544720583,1.1192478483400312,1.3847265317918338,1.0666738522881536,1.2836446757103694,0.9911411120905762,1.3572454333374433,1.016975951304316,0.9343929686010374,0.9606068069356087,1.052114277934528,0.909791355003079,1.0945283071367824,0.9796745062983044,0.9973655627978115,0.9847749598619661,0.8531911064183488,0.921335663364952,0.8357198362869077,0.8978094261650221,0.8507007556347136,0.9118165396924219,1.068111879722922,0.9221302916407677,0.7414634660667588,0.7073382351938498,0.7340672653794905,0.7664046503740327,0.6549780644421485,0.588190617903887,0.7480701455428339,0.6346762838405163,0.7735165443883006,0.6966608553155997,0.7347616056790323,1.0454683511494773,0.79581679116148,0.982669108517231,1.14329037695576,0.9479930008674863,0.8138578099260447,0.8506649385962423,0.6883702566230111,0.6114430578904854,0.59812673166631,0.5391771618424311,0.5783652824724539,0.6944727605085891,0.8704652560995843,1.0591017078912979,0.803018497943679,0.8067534947721003,0.646864186921885,0.63529558442906,0.570664693705432,0.5261586772334735,0.5899234860136011,0.9362794603179079,0.6566482326972753,0.7775317586842231,0.8026014215313236,0.9614314706231937,1.048758981036301,0.9973820511551479,0.9158200704567905,0.8724207041808297,0.805566598280836,0.8169712279049836,0.8819407083861153,1.089784438143641,1.141777032574051,1.1151436341241017,1.2468703180608758,1.0392851228064446,0.9683615636591973,0.9558827941762682,0.9054413323708095,0.850630849545107,0.6804715750646633,0.6420019393981816,0.5889061417472875,0.7222212738855223,0.6799670155685769,0.9005223190440824,1.2937029626294068,1.1757932534640652,0.7066850666271666,0.6301299030631071,0.6441886474680139,0.6401277826093249,0.6956499231228174,0.7207001879910029,0.7948446927938057,0.8801177828153157,0.9341849148667204,1.0988652548477313,1.1396233905339814,1.3475346728907571,1.8928759624672356,1.700197843364788,1.3112333520845874,1.0771156483976922,0.9505804886021932,0.9173266236331546,0.8538416727060785,0.789764527794884,0.7670364403780165,0.7309833643078831,0.8105690617772164,0.8284507038496136,0.8486202186110442,1.1918871064515992,0.8048762731797541,0.942220220700364,1.0748500428114915,1.0317886433522516,1.0882664669162325,1.1529197011556942,1.4789004929761136,1.7045195455500635,1.6009762522418942,1.6988711411247759,1.431197994787371,1.543573307668199,1.3751382711406734,1.5387583635610336,1.8545863898446089,1.3075580164035059,1.3202407954783513,1.3964750878716337,1.2124915970139205,1.4066366270988802,1.190561861517264,1.0657915342970368,1.2791106183136227,1.3671857582665201,1.1252415359428762,1.1660479784626,1.4003451965428593,1.3218940571702362,1.2701840473749781,1.433657064685691,1.5344872355195893,1.4534064093161094,1.7372286146142706,1.846735561084277,1.819250577656648,1.7806872814635666,1.7653721722019726,1.6461023802438566,1.7187602374838125,1.966739649556454,2.2147237803208704,2.2449075778815004,1.9711060590116654,1.8975192842434898,1.9442260271523608,1.7616947971090202,2.1341861722924587,2.1547381043599305,1.9010923224120133,1.9488440645623573,2.301175032055297,2.1837896099302396,2.010661895836351,2.414147999311163,2.7280784269516154,2.2417036483362196,2.068576097190038,1.6851329829330908,1.4436467993623445,1.7263199025489684,1.5843741997105283,1.5557104845579235,1.4583400395009185,1.4099731438709715,1.3848689592133625,1.4451683208843673,1.2747093653500636,1.2273374926596832,1.2282426770982449,1.23764573973033,1.1620776091611242,1.2110692061431272,1.3891196180521395,1.3404715435415417,1.4065595307639456,1.4447150069981782,1.5387247283903507,1.562007244479731,1.5966844450927993,1.4788444052453753,1.705842322707381,1.7511827492716245,1.5633251500823053,1.6696472814637258,1.8723202946927848,1.7720311084798566,1.7096079578435404,2.1102227020588358,2.196100681539893,1.8281842938419846,2.057250267110382,2.389996480054343,2.2913774591564406,2.0369297665088544,1.6813714208921913,2.324445696124844,1.8953932582158144,1.9490298580901535,1.6605645323174976,1.4315817436681533,1.3920565276192527,1.550514125563815,1.3013514358406972,1.4182165675820275,1.2692943634536813,1.353056659053219,1.0051707960131344,1.108230950013713,0.8437692080568985,1.0084301838321421,1.1115657090674018,1.2020778209574583,1.073439835113418,0.9728113032590442,1.2670133406295796,1.1879065190648888,0.8250704604665243,0.7465382552883382,0.8051217365033903,0.894291324281386,1.9871499721531332,1.8436142524930172,2.7224144318841503],[1.7987754095080746,1.3767171527885464,1.291944361595869,0.8930049042834938,1.1023133317195568,1.0291388568125446,0.9366896165672753,0.9627707095922082,0.8472652830352629,0.7416809556487752,0.725236188360864,0.8096926628941331,0.7796328402832993,0.7144026934548565,0.831535609080582,0.8052693212635725,0.7903338037614416,0.8351092573351269,0.991641311161017,0.9514202932377919,1.0431407889372308,1.1207359055920387,1.245342539707537,1.289056348714424,1.2626782319107324,1.0777942981704796,1.0194065527202445,0.9106098750202455,0.8807372423209362,0.8692497183775347,0.8555678141471615,0.8912776528660783,0.880428098198469,0.9089883529010928,0.9562319596767943,0.9576717006025848,0.9589539608502279,1.0776310432116756,1.0716833685877074,1.2316647395343878,1.1675630555580092,1.1034607443632056,1.1481728228067316,1.259931688869262,1.7909940893316165,1.874760828816563,2.6215563959771777,1.8190317798789728,2.577510083085281,3.3622929463719666,2.3194002377982725,2.001809194856925,1.621438958797359,1.4688186053757604,1.668262358223839,1.5179978487119088,1.4661868764438015,2.0409104086683407,1.6636826646031562,1.76897825185078,1.3153693406586457,1.1799710793297165,1.0629022072794831,1.159506792178518,1.177644736199961,1.080697683721373,1.0412692815998046,0.9238332558655197,1.0062873709440487,0.9274707856074671,1.0125188772971845,1.258346753019486,0.9401954859360998,1.1553062945206989,0.9348920966824485,1.229088824865769,1.0223023699415041,1.0048138612998518,1.0719166340043385,1.2010049723337066,1.1153186411548925,1.2811580529072724,1.201841840724415,1.31175540145277,1.2139249179492613,1.0864705905961458,1.0768813505550718,1.068731005781882,1.0152625466282372,0.969917538483729,0.9667868818920382,1.0326562484813526,0.9351068875859495,0.8469731288465072,0.8332991441286484,0.8262095528398108,0.8925690750823408,0.8834401204145027,0.8883988287241875,1.0251020558593906,0.9533389248019432,1.1068698264744863,1.0537547750186171,1.1211339666189042,1.3500209867378032,1.1541364214196446,1.320603379882702,1.4440921107916922,1.289701601048984,1.1838358877871227,1.2197464136548481,1.0645948845269433,0.9587127919356322,0.8941705674479136,0.7599545238891676,0.7576740896967012,0.7869654153051958,0.8289621506927569,0.9431393796120513,0.7800859487371044,0.7569822305213401,0.7135727615787799,0.6941241136673781,0.687573024668326,0.7571674448709228,0.8864548820492003,1.2981116998851705,1.0179596166119513,1.1373734672430502,1.1647667867982374,1.3166913190081821,1.390472877894279,1.3188544421865975,1.2751804653747736,1.2082196199214612,1.0796363525225539,1.1328711695880715,1.1293282143367607,1.221340002240256,1.1812152384783126,1.1341412537078592,1.3040150109061086,1.0828050933476423,1.046207141044439,1.0589657202433036,1.0109840631087954,0.9969908798391018,0.9218020190445744,0.974356338999111,0.9394946249551847,1.0870288419970133,1.0130417025812282,1.1927537008526854,1.4242162869711248,1.3086026365588426,1.0360644940172883,0.9551575458557316,1.015236436897333,0.9654322719606603,1.054658389989249,1.027059662989313,1.0201203710566604,1.039703753944466,1.0907799830808598,1.2269319457051302,1.2357981855671305,1.4369585584719777,1.85835955689002,1.6956945442653633,1.3416914199146006,1.2460992194662097,1.125713706577668,1.1437630736636848,1.1232492765401974,1.0877651869741967,1.0867877249050586,1.039564500200206,1.1345713705984064,1.1086513494617254,1.1609256398322796,1.3797189857098962,1.1138920170751014,1.2074571199358697,1.323897949221428,1.2596117297520815,1.2635781028553652,1.356836634563563,1.5774370500304553,1.7291313820767904,1.6262455025772673,1.6919788782056142,1.4680888298105064,1.6334798120975522,1.5422804538566615,1.825267416648469,2.1202762990044715,1.648321313918688,1.6479126715389556,1.681851519111671,1.5251087262091558,1.6793469346884349,1.4867934302955796,1.360638634675261,1.5133502494937006,1.594970338517613,1.3435539844913609,1.3557221017361474,1.5511550367044218,1.4822681437778786,1.3792099488352358,1.525173964018328,1.6076510334139962,1.501877618849466,1.7462469200347903,1.8310796814688324,1.8061581502253752,1.8253281963701562,1.816274696066371,1.724206108881608,1.7843513457778488,2.0332442096323105,2.2296883000434664,2.3299070817071343,2.11884572278834,2.0693775587436884,2.156289822735033,2.0259163825370345,2.38719760509285,2.3296743197592726,2.111374824331308,2.208997445839223,2.511101154161198,2.367491928552732,2.243125805675703,2.6700635226964495,2.864529087708117,2.4100455413663253,2.3161561949267546,1.9254328096970477,1.7823461120219721,2.039264459196343,1.8751293351937668,1.870596739859718,1.7757677259560463,1.7444034555027286,1.6907649315460747,1.7203579168665162,1.595307332764531,1.5420054979190618,1.4872091584821698,1.4741947791966858,1.3791245780606762,1.3917739805407194,1.5378417704504015,1.473706158716633,1.5066238734040038,1.5352844608348875,1.620870708020035,1.6644406984777407,1.7446139180061875,1.6683086049130285,1.8851733015633434,1.88745495634352,1.718971475305885,1.859527654100795,1.9991423181065364,1.893562559030395,1.8742772807987975,2.2249993902543643,2.2427258418707248,1.897136202749594,2.165663245084384,2.448719638347585,2.299210756319073,2.0651329266027916,1.7677986791187732,2.3071999630152438,1.9755401415720624,2.0408842611466005,1.810506671205348,1.5659259878599674,1.5268337376735988,1.7311037463465662,1.5026214126550477,1.5851033723962618,1.4545094298899304,1.5227692827390757,1.2729876304786898,1.408840730561595,1.1913262489235235,1.2877228893756874,1.4294166270990745,1.4802344378243828,1.3937460576102791,1.299729955184334,1.502433353099484,1.4075220984358057,1.133017398866224,0.9717950388168036,1.0019524347059197,1.1357043073558633,2.219951320213214,2.151618151994604,3.0098671863594544],[1.6828210439656754,1.2335479784500234,1.0925380928064716,0.7116223261837442,0.873566436902014,0.8514818262184415,0.781115669757346,0.7921152861988238,0.7425404373166835,0.6524698407703681,0.646758618806494,0.7094680106703448,0.6852227617259232,0.6430117429686831,0.7567178499799834,0.7150936767431791,0.6967434169682413,0.7206701331410548,0.8673104321700005,0.8146807113431289,0.9016923959457955,0.9709976261875299,1.1560548592717645,1.1912003779790463,1.1901559782308628,0.9618195598109517,0.8821660096893137,0.7865539744330792,0.7531288039481513,0.7399501465142082,0.7447590869841997,0.7578410851184464,0.7554768442873623,0.774975750351243,0.7987489168773569,0.8109339726932547,0.8124151747531514,0.9345504097764765,0.8993910640388302,1.031465072572631,1.003429866341231,0.9503375483433448,1.0087666136336122,1.1693685213728406,1.7832797585556237,1.949042264733203,2.656360517138461,1.7392944433978885,2.6776952977264648,3.4063297289951735,2.2423051254451085,1.997178110100007,1.4799055885374688,1.2818597221287131,1.5387907105089282,1.3543106163822942,1.1613057248167475,1.7876255246323873,1.4045107719953336,1.5116001124212286,1.0864746427420182,1.0135510926865265,0.9217816077975437,0.9653643150581346,1.0151444908799452,0.9542501590404655,0.90196267544503,0.7892812218208729,0.8826413564233794,0.8149765493703853,0.9206862342380988,1.1440262120832538,0.8249717980885337,1.0255944387499665,0.8152145271353561,1.0258626005896283,0.8775705932426126,0.8519941063172924,0.9059517825532414,1.0269852592891138,0.9279605535443283,1.0922862528114474,1.0547975199945325,1.1241705950772398,1.0453314891621444,0.9040685080996043,0.9019549356123271,0.9170860797983971,0.8594547444392502,0.8184534409612293,0.8361667339612638,0.9058198164285334,0.8232486630420333,0.7419202314951956,0.7379280444416568,0.7516726739219163,0.8390834513857852,0.7756964331057205,0.7574167069719703,0.8690899119214572,0.7709474494036912,0.8916870220185911,0.8523549960503347,0.8919453763817994,1.108438967420242,0.9007165392303372,1.024018822585148,1.1501982582576322,0.9631289410773249,0.8805085745750304,0.9375222598617466,0.8228771623045756,0.7647768173671877,0.7290483113371254,0.6799733986754029,0.6959403699186129,0.7088337248947064,0.7583554555875602,0.8526540513686924,0.6990089298890902,0.6947995922965767,0.6570417820844742,0.641522987112556,0.6097220224481836,0.6422173965570097,0.7310357791279913,1.1002965971234435,0.7814549904874409,0.8756011793654219,0.8910409227378625,1.0161938680194245,1.0579345972475447,1.0325283451827245,0.9802234624589736,0.9596794914857755,0.87778071509829,0.8957612532161193,0.9719010689877484,1.102397197937004,1.0243581881973973,1.0407498010791842,1.2040672011442926,0.9597042153467346,0.9203305877554813,0.916834301989628,0.8515044393141055,0.8315081354508036,0.7658686012732208,0.7792566660605381,0.7616168214119633,0.8761262640450606,0.8328762833720158,1.0030294375784097,1.2808139023599159,1.185696698961325,0.8496327212619634,0.7853433975678372,0.8047917899028914,0.7842038196261979,0.8319331321248004,0.8252937900911067,0.8452685734643491,0.8818577348999749,0.9198274401510719,1.0667811570628414,1.1265013304772693,1.3039444245409133,1.8025436739453131,1.6679656794872515,1.2789914039896864,1.0943023963444356,0.9736324035990903,0.9557207935273571,0.931945354545362,0.8862137133902768,0.8587785792540316,0.8455405925521003,0.9213218849013051,0.9117546280976692,0.9359958028403322,1.240653079010473,0.8797134521313893,0.9785333930103967,1.089073736358715,1.0629229614277202,1.0995095777686663,1.1647730371823442,1.3667622500447183,1.7361963013901542,1.5185444560815782,1.5598053387157653,1.3465567831771181,1.4981425290177206,1.3666371016671002,1.57758801455813,1.8664987943616125,1.2875097912326934,1.259973459623643,1.2903672078964792,1.1543098770951543,1.2474678704119728,1.086452130752235,1.001832992245547,1.116774490358389,1.173181564935007,1.0159594645748404,1.0663371144645228,1.2116775813278962,1.1456332904461943,1.1726438611704009,1.3245396839326649,1.3647853924875057,1.3319349438740933,1.6408885189297144,1.680506800339341,1.6613481731328075,1.5670765521003027,1.5219553787773359,1.376220347962189,1.4129842617130723,1.556121975974849,1.7606565141876132,1.8024441100763793,1.5631537137376603,1.524399582515717,1.5726952017996207,1.476363257330759,1.7852937577705421,1.727492358081541,1.5917729487865957,1.6626752848914972,1.909915825612519,1.7919986559460581,1.723991395920257,2.155817465271923,2.347353291036252,1.898259043929393,1.9187587413430063,1.4826465917331275,1.3261912337789103,1.5612869807530412,1.386925341975233,1.4234301436664931,1.3033862954908197,1.3442913730011181,1.2925186232965296,1.2911494651604707,1.188479868241207,1.1852202738984696,1.0813255850471006,1.0855007955335834,1.053296339343575,1.080644352835608,1.183092475041247,1.1605700710601632,1.2883116739915932,1.2445655917139036,1.264068918345124,1.279565309810422,1.3074077765570156,1.2309208037688264,1.3885203584365053,1.4019694856995844,1.2946197339183687,1.366949892162157,1.484660326689594,1.4253349904842945,1.3990449824913904,1.6983471173145712,1.7457758223253885,1.4637118804853606,1.684112362944639,1.9127837589238523,1.834980309110812,1.638150245848622,1.4190152588482148,2.02304545694904,1.7902996268446594,1.7800781963026922,1.661453602125646,1.3439916613197034,1.394004617534091,1.6556244562952385,1.3593914757899392,1.390130816439934,1.1146171001485947,1.1247315940754892,0.9404938899708165,1.061228171993928,0.9036494657427762,0.9780106573256729,1.0998007062610498,1.1430616753826137,1.124117784305591,1.0357241792864353,1.2330739778178208,1.1616289649603988,0.9124956470729285,0.8492992011078417,0.8974502143179376,1.0454221011127003,2.2235096684680022,2.1909228337906534,2.9932548765481015],[1.6945173978364965,1.2154012435144164,1.0967942610650723,0.7726633690043601,1.0060520684296632,0.8969530314345626,0.8013362511266455,0.8476244474370921,0.7435099007024455,0.6295302424161849,0.6213362395625116,0.7286548244062939,0.671617785754859,0.5976684287974341,0.7078336367382637,0.6827666088002565,0.6504517378416534,0.6563352095857126,0.7824965759635861,0.7545239095995302,0.8294588958180841,0.9047178891291289,1.1090296859172375,1.1337623060790096,1.1526398752310556,0.8910833240896441,0.8162727985578478,0.7349248069780997,0.7189312958921295,0.7230095851551436,0.6887955287208555,0.7314638284237769,0.7340392452126406,0.7379633089395488,0.7589210671224412,0.7666539042937427,0.8079599000839389,0.8833961508262699,0.856515713051606,1.0220683242115902,0.9767690892463108,0.8960292934602766,0.9590269876282549,1.152768127282827,1.723703035991265,1.9554618184972319,2.604540906797169,1.7150009545727916,2.7663627949419842,3.433983195802543,2.2472323332384576,2.090818902355979,1.478575046352999,1.2400130783525367,1.5202846568351989,1.3283782796496522,1.0685360681195433,1.671337042429629,1.2949139204144127,1.4484122943545783,1.0465817943790934,0.9596158116053195,0.8693466221305199,0.9165644255824033,0.9549217304025679,0.8981725161769551,0.8490021519646278,0.7231207655876226,0.8242950350811868,0.7629820381376037,0.8720595866138537,1.1255706139234418,0.7920250597531608,0.9775881222079112,0.7579973653061542,0.995751330215759,0.803673426339983,0.7721999824787236,0.8356494046190565,0.9732061996874743,0.8995199875866376,1.0905369968001013,1.0690385840973058,1.1618704952878693,1.0834513216501107,0.9167668140011865,0.8695180332870804,0.9244162154069328,0.8062250705492496,0.7890217959470891,0.775635460230783,0.8683897896561661,0.7599409771395433,0.6762947139530042,0.6749826096946142,0.7067511658352705,0.7633251464569822,0.7403248932076527,0.7559295217819444,0.9188240433298175,0.7970924668853887,0.9788617103439782,0.9177091533658657,1.0461066086829731,1.1912855769885193,1.1062714288818183,1.200400279222049,1.2973417481857987,1.2082435389233457,1.1321202067237248,1.114968733073113,0.9276736575576039,0.8167320630067922,0.7453955923594648,0.6488463353900682,0.6673605465297378,0.6483968899342297,0.7097863163493567,0.8017869924651206,0.6265706642422937,0.6150199557473228,0.574104443328083,0.5629018269135269,0.5596584334912603,0.6061797025392764,0.7460524755097854,1.176164189412337,0.9111896536990407,1.0981382225699368,1.109133902831355,1.272933063913911,1.3452511385146224,1.2431288829383829,1.1816743873895013,1.1377514271175049,1.008131781978523,1.0542610688911043,0.9741938980772178,1.0412677109922386,1.0111809191420755,1.0043631882034134,1.131938518162995,0.887242086387965,0.8731850726243036,0.8839360836876285,0.7984675880361539,0.7737382899795803,0.7476481540605994,0.8087543658562076,0.7900274573075255,0.9650606368255686,0.9051450079524,1.1475337471294131,1.3921059595717387,1.2497943160056337,0.9106379930564353,0.824203640982014,0.8953868387803542,0.8110616062619154,0.9333452836890137,0.8903541527585261,0.8516501636330627,0.8881197165019926,0.9216202491028836,1.076864716893751,1.1627978489948518,1.3329900675070607,1.8077265703725292,1.7220148947607585,1.3496162299773309,1.1784157056017779,1.0299127879926175,1.0290758376667977,1.013780900205404,0.9586542654594534,0.9452800725294865,0.8876667899385536,0.97687151575442,0.98366954699703,1.0323037185981871,1.2906668842285505,1.0306293658730121,1.1134612652927312,1.207444128027127,1.1787307178414634,1.171282259355092,1.1912620920939287,1.3499096580931005,1.7919796955871057,1.5450620520600147,1.5656183901441196,1.413835105287552,1.5655836956798184,1.4738813105316733,1.7637316154898195,2.0744099863802394,1.4705622453306393,1.5398012822248512,1.61297138297819,1.4658112700953152,1.5848668296427566,1.407103163030238,1.3001127988466543,1.4466387642638994,1.5058384768335804,1.2907889154714025,1.2857671245757802,1.488119873962336,1.4318477738894155,1.3639683449511744,1.5005296441218712,1.586930159771357,1.5225631618124922,1.7912749523356009,1.8569289790747188,1.8411231107884118,1.7824551450729096,1.7216119735847961,1.6466163061646149,1.6981363561661043,1.8924558860985545,2.0598057255295465,2.112467200630265,1.9056204919358177,1.88057077684887,1.925386909597998,1.8072984950577495,2.1148893383963845,2.1127255777907563,1.9507358772247,2.0059414176083505,2.241627629358856,2.1553303860892687,2.083160693324159,2.4324570250136412,2.7374617066254574,2.2728825515758166,2.209937672194198,1.8317049947126467,1.6173654815723475,1.8659199803191246,1.7120671906999065,1.7376230955290666,1.6125820922441134,1.6094996182161154,1.5982451020388857,1.600530807451937,1.4665350745916603,1.4371820985670825,1.4052437735980488,1.3984112736655454,1.3330306280900797,1.350564186718347,1.4912082707124168,1.441302529966498,1.4859679677125022,1.5071296274970079,1.581266329167387,1.6028556727772965,1.6474493838876203,1.5838699807668346,1.7596688183591653,1.7502428700985404,1.6237735345938893,1.730208620315689,1.8510956662890548,1.7592794026236975,1.7634286808693744,2.072663953996782,2.106016541528384,1.8369909189719853,2.0893901564029864,2.2778006100609516,2.205882355178217,2.00724167116014,1.6845737993228844,2.247780592871733,1.846588423226021,1.8785659942133701,1.683756137943119,1.4823630425125012,1.4581167889407356,1.6141626560242064,1.374488238430666,1.4461648477737346,1.3738278418729675,1.4862041408726274,1.210376908345521,1.3587968120425884,1.1133072996920614,1.1599262412988778,1.292690578418745,1.3430948940380538,1.2496788366760911,1.1526732088521467,1.3743530216508288,1.3287620515674248,0.9815490665601843,0.8064452624406815,0.9000948753880452,0.9976825655752694,1.9858339860971943,1.9116230073654474,2.841390829733953],[1.8583220513678607,1.3723943043570583,1.390213049818849,0.9844893146354957,1.1821493352840444,1.0679801256004353,0.9606821838238027,1.0153504077883897,0.8914652659612795,0.7475839148653967,0.7320610334103141,0.8491381519459646,0.7819934494071324,0.6954131675474491,0.7863639682143871,0.7750384873445761,0.7376897266574223,0.7604899772351159,0.9160422606388758,0.8660094832454044,0.967471196551027,1.049659592853098,1.2385515242961753,1.2753299602129244,1.259460715235769,1.0212021753998695,0.9447105665694031,0.8435903163143638,0.8225115085030705,0.8266847880486895,0.7827326206637996,0.8526740806202024,0.8505321583223147,0.8504218712525397,0.8815641209098254,0.8821222926250362,0.9296456039314286,1.0197900139101899,0.9981563469366929,1.172830121972837,1.1147101740759904,1.041503552382083,1.1148604846080916,1.2653035634504648,1.8483985181601377,1.9602794023492187,2.721765450235723,1.8611819365781535,2.6960410927865204,3.4659891297106324,2.358679476663439,2.0424847591703843,1.6250052629655354,1.3898932423672963,1.6201724105688209,1.487480092650509,1.2578119555117433,1.7572126367492857,1.4446646591154417,1.5678615662410478,1.1642009236807915,1.0912545716340014,0.9912984249782367,1.0434968950630388,1.0967301935731255,1.0245827887744459,0.9693196650758741,0.8379592397004639,0.9496086041044374,0.8656731417985023,0.9857541950675596,1.2324244036623329,0.903398081877998,1.107888409042149,0.8540177290443163,1.0864263743897102,0.9304909901552352,0.9022061327205495,0.9743662570488918,1.1301795314602283,1.0517191272192679,1.2469727023045725,1.1855821406890779,1.3386230152057976,1.2048265105770437,1.0547983159088083,1.0063502491146814,1.04389347896898,0.9300343100252358,0.9006716462384404,0.8639157618340445,0.9162839319257877,0.8267451109862805,0.7712785496736283,0.7709551883193262,0.7841823885529448,0.8564288650298395,0.8506668483073241,0.8859405331916069,1.0536808495914547,0.9367347040533209,1.1262305601330513,1.0547308188354156,1.20822929062538,1.316035073304264,1.2423880312579667,1.4129950393788395,1.4979249883581773,1.4203762911827527,1.327395960786162,1.306521862938562,1.071691798933156,0.9600866692733431,0.8665767359360094,0.7523839007240046,0.7385116455977603,0.7461806903672883,0.7938084435700615,0.9119706010752219,0.7364992567682397,0.7205209531119441,0.6834961033291528,0.6676130745547277,0.6586328111059704,0.730197364464339,0.8546807160852161,1.3349920239534296,1.023530455383183,1.2149217448570861,1.2388746442275327,1.4114006572873776,1.5337961400495017,1.39013720325575,1.3327993745901257,1.256005340643114,1.0952101088275052,1.1304159028502925,1.0819153268923267,1.1512864507010134,1.10156198202099,1.1163603663992676,1.283228300681362,1.0382221663494131,0.9941924150337812,1.0002350802091753,0.9176857073091006,0.8906667406223773,0.8657971990117804,0.9398601386829022,0.9354387854050494,1.1121063670222648,1.0791318550141842,1.318302226098559,1.5414965174617608,1.371421303632475,1.0766188640314283,0.9712815661500492,1.0508860775303879,0.9437556064400313,1.0587044611224927,1.0114161474088137,0.9706173527870201,0.9995484798664374,1.0450989678541585,1.211986659982843,1.2529006906790865,1.4504575508159387,1.889814064457448,1.7430695588087377,1.3813809074426422,1.2548274806058775,1.1222357540838976,1.1410199042817961,1.135550706771718,1.0929306608518892,1.0832175751796422,1.0116653437256042,1.1201740020378441,1.1118911795401523,1.1845568462437532,1.3996446462769845,1.1610680345047213,1.2581037794749905,1.3682067465305663,1.3101280904811108,1.297421493415269,1.3314448615104535,1.5223588547221665,1.8144257793096532,1.6500203490159246,1.672811846293347,1.4989712644363393,1.659733925138532,1.615697386768439,1.9731842729509237,2.2607508833928165,1.6409242216847186,1.7492587017826835,1.831675993983232,1.6803071084769943,1.8748645890100528,1.6919355686907165,1.5425908164032711,1.7169323859433667,1.8304047575043298,1.570931215259328,1.5328831317905847,1.78410484976063,1.7429833151314644,1.5968818701866896,1.7454823426347374,1.8702261297819853,1.7492863008324078,1.9935588205332067,2.0729452477429033,2.0368308666462163,2.0913520886598613,2.0457299226397883,1.9777884922630005,2.06034838238231,2.319757639468677,2.5040396703679733,2.6040242830589317,2.379272136805887,2.3024503513887677,2.402039340296532,2.239390062130136,2.6068233060687245,2.5930628276339647,2.3467378132922625,2.4323975245430494,2.739834927088137,2.612294170831358,2.4616530298703507,2.819664924427758,3.12174188718381,2.6238159249752235,2.4495377776949563,2.1064469768400196,1.9096037794795206,2.222776521641129,2.087607759849997,2.089226800134296,1.9896147843968157,1.937351643240826,1.9155512218453172,1.988177873330761,1.8281418651312284,1.7396535349102928,1.7373110686174438,1.7421525624686447,1.635534635474876,1.6512577767597605,1.8222191463755137,1.7654841986344738,1.7318567122139201,1.8178880208876425,1.9439034538512023,1.9668420242475546,2.0475223896209007,1.9532983337324297,2.184867110802814,2.174491455237208,1.9868512359807304,2.1258074528626376,2.2780756224481187,2.1651920403659255,2.1113061481464803,2.4884815721620512,2.5285240347065625,2.1614075140736864,2.4062245682417767,2.681808263464188,2.5697882197663775,2.3067935364627634,1.9510084964788714,2.4742597888748454,2.048554670384768,2.198102935787309,1.9116706454962682,1.7322654904558197,1.6483202694815444,1.7753463835692223,1.57282174056505,1.6310499172095378,1.5744630555341577,1.7291024911130963,1.4163261529656455,1.5536235084852337,1.2695250063478822,1.389194629219331,1.5434569324487635,1.6251095263003528,1.4683034929259424,1.3844322978182568,1.626878779709338,1.567153584264637,1.1838954857355282,1.022576480682671,1.1691819758758017,1.2009951537968075,2.0648235800447274,2.041380627508996,3.051440455626728],[1.998088877609524,1.5179550525673071,1.570889704987884,1.1388426249473202,1.3223499363564823,1.2339568234788514,1.1670925288647966,1.221032532961933,1.1080178324947612,1.006166820279526,0.9956842544249441,1.1013262694258295,1.081361371004038,0.9629419536152445,1.0477657795417352,1.0871014837626056,1.0400335685981892,1.0358658190158188,1.1293142422136684,1.1391727914740077,1.2364513266299353,1.3347287340201603,1.5340183842930457,1.5550539562074395,1.5832489705312,1.284892539940422,1.2184074707580863,1.0931623555340302,1.1012948780317993,1.129964677025517,1.0654747016557646,1.1599048777172882,1.1431459961499613,1.154242048083936,1.1837352498675604,1.1666920302244246,1.2280036384331092,1.2954983044193533,1.279067088606075,1.434867227464914,1.3817276427437848,1.324786577841814,1.4415708769851938,1.625264173531995,2.0803921725466,2.2689616959245824,2.915095999114792,2.1538274825281714,3.027872251558664,3.8296639771789884,2.7255964931631973,2.291204709907452,1.8703987688360053,1.6067944676032793,1.7877713876489256,1.7053678696329224,1.4724542304051307,1.7533738646049253,1.580025075822657,1.6527224431037448,1.3497143294537854,1.35830786826651,1.2879280937212452,1.3090275285760815,1.3719035924302714,1.3144141681452435,1.1846038568464212,1.0700328177053418,1.0922201272485914,1.013368918857121,1.0608611227344509,1.223955221053683,1.006805389737598,1.2048438435164666,1.078271936670189,1.2024626849747697,1.174997898021818,1.1740152787863671,1.2587976348967462,1.4087515939827389,1.350458492871725,1.5379582197627117,1.4475233840559885,1.6446179319676608,1.4853706854580253,1.3556562745206753,1.3040261148185979,1.3636107582573942,1.215742724110624,1.1908371638893642,1.1291075177410503,1.1463945832007867,1.088646874815614,1.065382445044542,1.053847917325851,1.030960040873548,1.0762721564813889,1.1230896969523543,1.1429136904350834,1.2469847395932674,1.2187355262194677,1.3722712411023101,1.317462141691705,1.4335762326051835,1.5125673666863333,1.44280896900572,1.593712121048711,1.6460211959698547,1.5680285579317024,1.507924626071735,1.4881274269665048,1.2999471734009151,1.2031884296241624,1.1190525416102717,1.048721533416876,1.0182669449844801,1.0130122890866615,1.0712023735862948,1.1093008031198308,0.9854411766384555,0.9487344874413913,0.9121517019672511,0.8917972859143066,0.9068533755116466,0.9683460119872858,1.0785313541282884,1.5098118065778785,1.2474242735093146,1.415593521841743,1.461815305974637,1.5950604086403903,1.6914500887908461,1.5949691635650782,1.5498160983243718,1.502826371160272,1.3336639896267939,1.3570320637657558,1.2740337465978493,1.2619665921047039,1.2490803670240338,1.3190476401784856,1.4768430500139822,1.2589209391486305,1.2170966257742482,1.2516243458838754,1.1579560221303995,1.13805179307476,1.1374117814394997,1.2124703397569323,1.1876898263651905,1.3273619541535084,1.2871742204716161,1.5017548439780233,1.6509568538019799,1.5024432280665792,1.3044033660769676,1.220081001713137,1.2929287980543573,1.2059131227690327,1.30145797748341,1.272784174291772,1.246570545488034,1.2605244807541685,1.3180872540334856,1.4352372399382167,1.5665477368501468,1.6305285707780293,2.008162210890721,1.8540212464125971,1.545739111326124,1.4641979260412143,1.3655168463245344,1.399254866901505,1.4104093648517493,1.3712789105412169,1.345769576179265,1.2845076661864876,1.3923703587686749,1.3914277093377811,1.443699909611074,1.6233691429129438,1.4064368508956107,1.5020627555579795,1.5965683944816729,1.5648468280409145,1.5843371283642675,1.5810216134662871,1.7111015907422855,2.1060109695428646,1.920951672960112,1.8885638063950807,1.7153297545905937,1.841882258790161,1.805811692898,2.1725897270055716,2.3913097880352168,1.7864498876064234,1.8567549832518222,1.902841819317979,1.782121401176438,1.926157745142572,1.7816725000526192,1.652096966000051,1.770432676643741,1.869855350759602,1.6530881429230109,1.6142175912164005,1.8169330742332248,1.7832256763846694,1.6686197582014912,1.8004089943931763,1.8879650943445025,1.7891481589232694,2.011920517802493,2.0591317708385946,2.028775369961305,2.075178581703724,2.0507572329779418,1.9673752838863292,2.030940007004859,2.2262086791640083,2.3949745520002983,2.501714878676416,2.299987743580111,2.2297742980832624,2.347861702336118,2.239786930169532,2.5934150171841504,2.496176487623603,2.31256331950485,2.441210954251422,2.6874527813281768,2.5455546980548243,2.454779987680938,2.8238007599348456,3.0229888374002094,2.559917417525211,2.4863163760764895,2.120036220700988,1.9971365500177771,2.2884123952560658,2.138655138023477,2.1558090134369374,2.072495140446081,2.0340130954261335,1.9962664675936481,2.024656515587341,1.911304364674661,1.8314272969969139,1.8048856965843016,1.8071429834441453,1.7092277468333767,1.7227573846011677,1.8325542443063734,1.7961120408878295,1.7988801011084277,1.8340223005519096,1.9275967540285315,1.9500158678203208,2.0243081684010944,1.9642313464833763,2.158240574461452,2.1290448030962774,1.9784135325849257,2.1038468239785795,2.200140688314733,2.1092432803443315,2.0758477314427615,2.38916259048042,2.389095565850833,2.083669861710462,2.311974186037962,2.5412587834476827,2.403449895260189,2.1883122443480714,1.9409069005415376,2.405191801741786,2.1789878198518893,2.302856285292196,2.049832211795448,1.81882200457072,1.7532968005678382,1.9239926568242922,1.7419793273622433,1.773567455810386,1.662273815744396,1.7447459426104712,1.524189828867991,1.6626024884824937,1.4421286682888248,1.5029073117070493,1.6643514886135562,1.7192179262648888,1.6049918533602088,1.5343344687626843,1.7111834537022619,1.6382948531342059,1.353106922977694,1.2646060219607198,1.377235152786312,1.4292705345462642,2.39542611420437,2.441249268905419,3.4096478317159327],[1.824035342144337,1.3303125051858486,1.3414973597623148,0.990889791576765,1.2251448988459177,1.1492468991871188,1.1352791375028326,1.1776811917297028,1.0989595261103322,1.031500944479137,1.0225132658000868,1.1203312058653616,1.1133466451913634,1.0011864552554972,1.0853088889254172,1.1270090420801115,1.0835173464056373,1.0721681866489556,1.139092887903623,1.14848972038178,1.2269727769190544,1.3069215123940643,1.5028274989367525,1.530860684848423,1.5549483267978246,1.2748007078645693,1.22394614343261,1.1193920912118929,1.133306645822559,1.1720543054564485,1.1074636537737204,1.1881965801568126,1.1795777731362138,1.1782673515136914,1.2060865157883776,1.1924348627965617,1.2601473011252946,1.2966069481255618,1.2635611539595866,1.4035221073650554,1.3511416688643734,1.2912416588102142,1.4049002766411551,1.6043351193283149,2.0924226580209773,2.2701961110212476,2.9123226435739884,2.1092191057085024,3.026561890780605,3.792152848289089,2.635640007556888,2.2541905659409225,1.8243584699699782,1.5561823397952523,1.7194121787480672,1.678317777122022,1.3499321926664996,1.5911536276954485,1.42217679012347,1.487779872410458,1.2360034964064746,1.3172236476080745,1.2910431902552835,1.2581445849593746,1.3425022372439146,1.302677465253718,1.174419259828537,1.07871475833891,1.1015308294683457,1.0446771048396457,1.0790575967047167,1.2179452838392877,1.041022387479861,1.1897174962068122,1.1004287939237551,1.2056052013843996,1.1797935791186072,1.2024803776880615,1.2747778780501777,1.4061281426519907,1.3522955135238577,1.5068173686459696,1.4514266631235162,1.6292878751587143,1.4912479225478423,1.363371443335606,1.3049157711530608,1.3777049801705359,1.2365554142617738,1.2125244917861038,1.1571247133161289,1.1757948370695686,1.1203219265446844,1.1096017144190864,1.0946167147073662,1.072344236046885,1.1202494526017461,1.1621202654829461,1.170097573807723,1.2213639315868159,1.2252896963056208,1.3332398157466823,1.3218751796509434,1.4062945508041185,1.4607361944091724,1.3975881523698648,1.4922409833564607,1.5536880545239469,1.4551299618724804,1.4050274537575351,1.3987867041884583,1.2760052641748294,1.1920017618741023,1.1453084645194938,1.1023394968759959,1.0883560216947346,1.0725017440502866,1.0898941990057789,1.1037302581250903,1.0255690487596796,0.9889887318376152,0.9784104330132404,0.9549857487321461,0.9567545638965549,0.9885413455993098,1.1080530755397242,1.4906099479958834,1.225285293656737,1.376814051939531,1.4132040074722911,1.5377010974965966,1.6010989380604284,1.5330362676747942,1.4957920922627719,1.4748206089748102,1.3266598282576383,1.3435980690023601,1.2960830066848863,1.2714790148844506,1.2483629351111174,1.31948919394694,1.473088682348299,1.2469447494547548,1.2278704846151764,1.2560771244608515,1.1732485900375638,1.161056167498543,1.1669357956422521,1.2261917451255016,1.187992543230906,1.279617845178224,1.237801018677658,1.4268120957916923,1.5770958697434745,1.4481437154262984,1.2640914578222067,1.2089688911824445,1.2627628123132764,1.2122453281096295,1.2885420355591264,1.2878729713290975,1.265096085267779,1.2686025970191437,1.3037322763874883,1.4013009675484147,1.4995004164783345,1.5684157699566024,1.9112996201929562,1.8196388619931234,1.5170883685836887,1.4435268730094117,1.355999469365187,1.383417146933784,1.4009599300936988,1.3728194428366423,1.3288244135826477,1.294215551223392,1.369612503275283,1.3856310272752659,1.4212887799061142,1.6163020997312847,1.3739020348570963,1.4470174332888162,1.5311574866350164,1.5127891769474868,1.5249394508247651,1.5483482168386693,1.6188544417250716,2.044538825716889,1.8264536342377504,1.7532159683741333,1.6348851365890193,1.7779839646659565,1.7228110297911414,2.066122732958756,2.314342264482029,1.714429161757939,1.7480594425399887,1.759744812150664,1.644311070906798,1.699861339952278,1.5679893076099747,1.4688795225545512,1.514519326579609,1.571639421164491,1.393410302561395,1.3482199420791225,1.5026961944592783,1.4696626416133258,1.4072333718043872,1.5261992538851514,1.5787420453299592,1.5246634143329743,1.7890347629712973,1.8090752871587197,1.7949154185447047,1.7400423573364108,1.7067837627813456,1.596644800386286,1.6365737941509222,1.770346576453464,1.9369035674684505,2.0238711370167057,1.8387350399892086,1.8160125020613571,1.9359780153035167,1.8913492706156825,2.201010146297495,2.075897275841938,1.972475214685134,2.10782835580168,2.2844997811002212,2.1488369583242015,2.1493896079699435,2.544195510219972,2.6921491768547727,2.2382597816863226,2.3279586909720553,1.90074768972811,1.8130467455843617,2.053621555198711,1.858958069406099,1.9264053629591336,1.79120335299971,1.8420652313622967,1.7947522860648648,1.7659450621941006,1.6799026296470132,1.6354266434801101,1.5285262585115313,1.5093599868277674,1.4401768760279385,1.4360186510077353,1.5088774944862646,1.4747169602483943,1.523496290777297,1.5064973975613287,1.5577642969847216,1.5717199009256033,1.6467378236185537,1.622778679911638,1.7783386373316838,1.7101972387114244,1.6184438347710313,1.7400480445705702,1.7795339541401078,1.700283860670125,1.7228971836250833,1.9846509594159243,1.9359967176402013,1.699896587980597,1.970381767827583,2.1153788760406904,1.9808258951323177,1.7984577436681626,1.6043618463590121,2.112162200347157,1.949847877880193,1.9700925148348813,1.8275288083777137,1.5429677452681598,1.5345935821061532,1.7547864981842312,1.5440357616382177,1.5571458572222923,1.403457812605648,1.4641545122265796,1.3344600623210376,1.5279558061187857,1.3587839103908208,1.3136027438795368,1.4884952003885232,1.4979641425527026,1.4666026704853232,1.393865154534457,1.5165027335746775,1.4688356972254015,1.2398055764038154,1.080629810342733,1.1997458250259807,1.3380674586644121,2.3700406591818592,2.4342332939992386,3.3552027569406877],[1.7010271106892667,1.2107774288306847,1.1422273903741584,0.7465209208041101,0.9880408756660654,0.9730980085817476,1.0058886506565927,1.0331057074504062,1.0251659576383245,1.0249208375121592,1.0238321804310682,1.070872992612827,1.1270932478411644,1.0677647901472607,1.1637149028280411,1.1891647357869288,1.1767058632178256,1.209270523743999,1.3179491378111368,1.3153877165829801,1.4108305183239134,1.4594110554774156,1.7029223816270014,1.7294287151414758,1.7565432855559977,1.476810919671865,1.3885060778000167,1.2724140931943282,1.2403839962764092,1.2320229522429704,1.1983110597137379,1.2154785623877942,1.2124685088858642,1.2373020925469216,1.2654574085090784,1.2891667871178543,1.305257691150329,1.3750425233207877,1.3468895649088806,1.4599163782708402,1.4585547293078887,1.4301087625270756,1.536047109583992,1.7526030741884233,2.2418707390813806,2.408465931973685,3.023152728536865,2.212482899439942,3.107920226502464,3.8176351934488326,2.6286519604803473,2.3143463209929678,1.8607621552684779,1.580446623428418,1.7138271795137519,1.748519819428834,1.4040535100481404,1.5498164972805446,1.4086594734923792,1.480579340177941,1.297871037414191,1.4351497321062765,1.4213430273286929,1.4069811155798673,1.4955361886262963,1.4459811614621023,1.3457937451189523,1.2415988254628858,1.2762564662938478,1.183378354288003,1.2111301820801608,1.3106077797095363,1.193017377229118,1.3606862577057954,1.2593680144649404,1.3092291839893813,1.3209347806295124,1.322453274117794,1.3721030733246582,1.4858402552898455,1.3991336988919842,1.5325247311467987,1.4612600953874328,1.6105682755274568,1.521811458804795,1.382262803471978,1.3750789167005504,1.4260727531075343,1.3387285549584176,1.293960610151528,1.269500505905873,1.2874074540648734,1.2289998956272794,1.1893814897188013,1.1595047891601775,1.1272944251971408,1.1691662678465446,1.1670692920889885,1.1329059651121394,1.1120081252049423,1.155927102315848,1.1975466841085867,1.2497149182917475,1.2594508574382521,1.357643142847063,1.2278787369754431,1.263008830740776,1.3378019706675564,1.1765380057142427,1.1464334694578904,1.1601290141088685,1.1503561020363036,1.0923584441964431,1.1335469853802018,1.1607534832482,1.2136452953462138,1.2389910294964304,1.2982505211882913,1.3260560355074382,1.2067852126281253,1.1633731315059346,1.1284546134133868,1.114996960985306,1.0374784984234717,0.9735487222779428,1.1037453679096063,1.342336483401867,1.1068087118241499,1.19727048113233,1.246973998440637,1.3333493282352153,1.334380658276656,1.3542094670117601,1.3236026172442044,1.368680650409672,1.2795831639374151,1.2939886477447717,1.355359803216703,1.3690780400406295,1.329992336006402,1.5116281152079891,1.6352545808159062,1.418638053862672,1.3655787536651771,1.372805398317647,1.254941077976911,1.2385718054671737,1.1994500583964995,1.1891091257192339,1.115281030976843,1.127587288361993,1.0838646483746623,1.2399285056267966,1.3810115093000728,1.3011494818487337,1.113997626424346,1.1141944155908983,1.1280505120294015,1.166938674999048,1.1922014995363377,1.2621133560811193,1.2912196935500035,1.3306397084399029,1.3378206724083461,1.4052189059027824,1.5548157491006878,1.527503199107254,1.853847089427487,1.7836934465712302,1.5310612896728046,1.4227628932447123,1.3835954875014913,1.3716379731326458,1.3693146159644995,1.3398709743134942,1.2599201498735175,1.263121737101396,1.3032695213359726,1.3513061896464962,1.3392617697491802,1.5415955340311203,1.2655836190799723,1.3209395081057853,1.3977280427505447,1.4238519824598213,1.4934466537660336,1.5936318813234058,1.5818341322137632,2.0823734571115504,1.7796329389212826,1.660997402959509,1.5682747576142302,1.671252124043091,1.5815820264271352,1.8473204321569323,2.084374204903036,1.5164842761932182,1.4396908436956732,1.3937948956850394,1.307690320557135,1.275390645099941,1.1717788408706808,1.1045991586404427,1.1093619721902428,1.1507195327189996,1.040956801655912,1.0800879400240324,1.2061952956442035,1.1400577245477106,1.1892536657719799,1.3583998594958329,1.3712677476986714,1.3288490838132452,1.6303085195267948,1.6960806148703809,1.7118030419089068,1.5891219422268181,1.6310133405160163,1.396917383958569,1.4213656983664276,1.4494471416056354,1.667462341401595,1.6684723440606617,1.424672187785548,1.3742444750757794,1.4078940201629264,1.393102562207126,1.6489810623091288,1.5223787642689048,1.4600842220126473,1.5794945299514198,1.7104882473103025,1.5793330692914962,1.6105020950627777,2.027312363304686,2.0655926030932417,1.693437546656372,1.9432219698522906,1.4611062395431553,1.4316962172711256,1.6057228161236357,1.3925542530505588,1.4992307095226232,1.3507167369533535,1.4654506062542676,1.3936552788689591,1.3353569533130882,1.2863861460612604,1.2847428910182508,1.116392426126174,1.107574825594809,1.0897230504555546,1.0976396104113126,1.1530849358844626,1.1412033769262464,1.2821447878650623,1.2350019005949027,1.225731561593481,1.2289950792436368,1.252827420209768,1.1957214159050047,1.3079286624992266,1.3037702392910313,1.2407486883600949,1.2778613107905834,1.3395716778595852,1.3297209474063372,1.2903450970422905,1.502814115464541,1.564220312636028,1.3791275684057418,1.4926255089949536,1.6735807500010684,1.7162045149614609,1.5816193292422576,1.4996303561465252,2.1066067310857823,2.085459730082901,1.9489654275657633,1.8438788885040491,1.4466439164006675,1.432255947032231,1.7479687664752093,1.5258219750636528,1.6297725759651076,1.2088346518279944,1.0907973587214095,0.9998365292919253,1.1945414520326774,1.1212140321652821,1.0071286145017848,1.165308953484228,1.1632877252557285,1.2083029255450286,1.1223034044785405,1.2212030815756154,1.178556006791201,1.0146081981275572,0.9190529954982787,0.9952482211225765,1.3111880139176364,2.475809344626818,2.593850230585433,3.379751094177414],[2.071994050652735,1.6142093859655107,1.5802477582450323,1.3291507522954673,1.5307261473074318,1.5179228995500318,1.5087283658642265,1.575935115779765,1.4975720107142971,1.434249239871267,1.4364828597461392,1.5205012584551214,1.5181542860342734,1.4315598965296306,1.5248876269111495,1.567388102518219,1.5229735520327445,1.5476048703239593,1.5990028327668842,1.6618312965250654,1.7335081966152261,1.7991926096932276,2.0204512444712894,2.0500951517730885,2.067097911823023,1.7498010624870382,1.720427457641745,1.608941895133582,1.6101339238673469,1.6422140880795986,1.566506032577107,1.6622503253681213,1.6742626485338052,1.671042946157573,1.702475863809446,1.690086667676424,1.7604533020406046,1.7667765078454765,1.7420806455808922,1.916438397851687,1.8540121252630237,1.7934130621111115,1.9393079483939495,2.1443241111641314,2.5168692469750726,2.672722522156512,3.2655651416893825,2.5874091084101245,3.37503326439544,4.19800023376495,3.049519873783695,2.5921672303366217,2.2065597876766265,1.9934597699516516,2.0664372487324885,2.134613389356862,1.765995783400955,1.7365995792570235,1.7074215061782267,1.7684421437802025,1.6722662719624826,1.8161242060046494,1.8051405571744497,1.7502516551311185,1.8675556023827482,1.827650889465617,1.6568725749987838,1.5799877701507081,1.5465977823575483,1.461032217354079,1.4415145482683682,1.5052825575211293,1.4524902568680935,1.618308735185887,1.5849085463823058,1.6092493744296235,1.6945478057141037,1.7196939719024182,1.7763775975591454,1.8987745691990792,1.8633489349860488,1.9839003136604698,1.9383121961463465,2.138405340380936,1.9779900137557438,1.8431036986634355,1.8024283697106942,1.8746412041096068,1.741611967987716,1.7300941361604572,1.6592372707650782,1.6420897801092993,1.5789883690779205,1.5864786565613709,1.5488815234207873,1.4971039004202573,1.5184064524852259,1.6046920575018857,1.6019333872740826,1.6310767468820517,1.6607316124085025,1.7352491259890614,1.7702803566820096,1.8401777834830368,1.881463880908142,1.8178362672614148,1.8916997244364842,1.9449411566432988,1.8383699231709063,1.7994813462346468,1.7646426962122264,1.6855658035299979,1.5916697732078529,1.5624919624750586,1.5281703563132265,1.5233060393853628,1.544673950374399,1.5485551704435887,1.5865113378890547,1.5085454574433765,1.4144407079071346,1.4158118454240125,1.3674312324056994,1.346541459149828,1.3583281884444343,1.5038439722949486,1.8425093380115942,1.6324018396218947,1.7716996869609174,1.8310081240892584,1.9453122935328242,1.9983696092803118,1.9574979060904412,1.9116524392491057,1.9231335620287633,1.7726754332482129,1.7805262624555012,1.6912264818446698,1.6180918734253849,1.6756880232936135,1.7698481534843913,1.9138891181144444,1.726290740146941,1.6969719074839493,1.7372573516199141,1.6220845179862322,1.612861515217859,1.6282565180456599,1.6608599393546697,1.5947292444984618,1.666717766469353,1.6283771209270357,1.8289684513882558,1.8736554208630083,1.7520199933760896,1.6563489120295285,1.62604769215502,1.675557174573143,1.658159434710737,1.726824530989557,1.7458979858734691,1.7356664101978936,1.7403243258361745,1.7637972282981313,1.8368405920739568,1.9455303450362877,1.9593697081332884,2.170256524783449,2.082505811568054,1.878592716889947,1.8622168546681306,1.8018962308170894,1.8411403346743183,1.8590728388635365,1.840920055186849,1.7912862895167738,1.752977442885999,1.8271200991463408,1.866375142900157,1.8882165500689871,1.9785488087696854,1.8110373736222625,1.8565418110416936,1.9507524177416473,1.9769236167235895,2.0144872684049213,2.058981026553575,2.038598591562579,2.434216379894777,2.204144732257626,2.1020959664585335,2.063691046109044,2.1540481059076892,2.1177121539608494,2.4638641505691874,2.6460233559784787,2.092550649186697,2.100230834456123,2.0603482290033135,1.9763849738874961,2.005589486879134,1.9036853190101948,1.7960793489920581,1.8051749968074207,1.8718676903537572,1.7081311055164012,1.6218184176298347,1.7784431137242278,1.7682875896254613,1.6734197728462719,1.7627593721197694,1.8178111991155095,1.7397191633633853,1.891871264844529,1.9880310313948915,1.9989599036681083,1.928995963874739,1.9489138230518008,1.8596597593389093,1.8874075179252696,1.9810377808159403,2.1307382427698567,2.2291428652952385,2.031916012130132,2.002628127280222,2.1347025302883114,2.165236952215359,2.4095030696060014,2.2506546887061907,2.1818582259052475,2.339776175436308,2.4135899667309357,2.26788635325674,2.349750160502295,2.711559456337193,2.7129738554088743,2.3291194438855656,2.5641949913612927,2.1608358286158724,2.1589394539926765,2.3657404509475772,2.1580815942843468,2.266352691998383,2.1052572348959324,2.207069504052407,2.150213176954588,2.1142401384156635,2.0605099349799967,2.0018738385133954,1.872864986712937,1.8511199505859872,1.7941079568833393,1.757160978842534,1.7990545495581751,1.767658964021767,1.7809632338291463,1.7918605352932486,1.8335684146549431,1.835673138256447,1.9090313275076918,1.903377195749912,2.027832870624354,1.9416712272823862,1.8698402941657686,1.9894552193084414,1.9814426359533832,1.9174534154381797,1.9497805840566893,2.103702493631948,2.0382950689838717,1.8760959705235638,2.0845609573311994,2.136666878516221,2.069010743294786,1.9328536010129576,1.8599579707918088,2.315549013699283,2.3182378492497753,2.233820034083118,2.0664387183106157,1.8082309008147888,1.724124324334717,1.903994124406446,1.781989520587516,1.8677552243192377,1.6830832123353248,1.705956145824642,1.6044041265147009,1.829742513853816,1.6869963316244592,1.61370803879758,1.805545365045857,1.808223979032856,1.7860380681411963,1.7082312641166886,1.8203969180488946,1.798617849758856,1.5958671300873035,1.3752932273488323,1.4470904488550018,1.8721435268939182,2.7224164798770705,2.932118460195407,3.734460040643345],[2.0722790424994284,1.6259274138136468,1.559576611211979,1.395109472070897,1.5010490799802814,1.567423231670389,1.6286582606604874,1.648570452620715,1.6766859132607477,1.725100058091525,1.737170369517636,1.751490660848971,1.830620071516986,1.8137876888397462,1.9080761653760645,1.9293370292061922,1.9372291917252678,2.0040719068029214,2.093289257329327,2.1282968369850845,2.2324489199161617,2.261382684836242,2.503082240441672,2.5543608106959783,2.549666292493461,2.2602191415964477,2.18241105236178,2.0751376192363686,2.019368748320355,1.9723341157813952,1.9513890962895413,1.9265941363985641,1.9446779315223697,1.969870623166757,2.002619295924595,2.0435281350658614,2.036126868077576,2.1057979016449364,2.094127145332562,2.190942597875725,2.224817804884902,2.2125971520025556,2.330625087687841,2.5474818762942713,2.9158142920433967,3.079629623103612,3.5927014763554714,2.951128501106194,3.6725076224400137,4.405605735919905,3.24560661936514,2.8287730484449436,2.449353949150764,2.2469245868974523,2.244203062084014,2.3913787153798873,2.0910292455206174,1.9114220993246462,1.9387739161404958,2.0545675922327473,2.0592520955248776,2.2283429132340316,2.21964574228071,2.2167581291521774,2.329801222562651,2.2677132664505906,2.1611552360156283,2.0539227104572864,2.0437060863413845,1.9437649931928875,1.9251316723375633,1.946366897548519,1.9626975943035556,2.10655943206899,2.0486068383720664,1.9981147225719467,2.098836053003386,2.0991849522421844,2.128142100197908,2.2262044188990755,2.124277305037156,2.223231526968573,2.102355085919943,2.281143272724809,2.1976934459340565,2.084512188757705,2.1104745837515346,2.140742606511121,2.0993395482283725,2.063428827647784,2.036525995524647,2.0367259357448213,1.9900636057210828,1.9447284127072026,1.903749401115453,1.867330492640445,1.8677053835302588,1.850339055088866,1.8050082857435796,1.7205869912321559,1.7964243939445022,1.751924326492756,1.8777392307582728,1.820477777452558,1.8557118110486885,1.777728304274393,1.668236809050813,1.6976780851465751,1.6021985563804293,1.6282464379192143,1.6597724170397088,1.7460409944024908,1.7282632510654095,1.8272561805174699,1.9063191220803168,1.9679881848519047,2.0281098457918123,2.1017870117355466,2.15268510964182,2.0194090243154323,1.9454679483615087,1.895469659813151,1.86695529895301,1.7798909834615,1.6742534069497954,1.7837161942009099,1.873161923180551,1.7320405054470522,1.748289320442063,1.794544594284787,1.829784207131881,1.7561450164095005,1.8486488789675366,1.8195457693744754,1.9765986152931256,1.9365636287178498,1.9620005640348037,2.030144185840964,2.0160137498684207,2.073911062563359,2.3044449121378805,2.368632585920362,2.214347670025501,2.148869623836046,2.1491094549301977,1.9990465901980587,1.9818695839524512,1.926308393381964,1.8486391395409159,1.7546698889810655,1.6776064791118432,1.6743730365207636,1.7936966909770666,1.855807331636163,1.7849359673691296,1.6942234913702396,1.74034142547275,1.7211025399138387,1.8169641475275933,1.7938528505133113,1.9344783923516695,2.003127116053978,2.0848388942915284,2.058382875203573,2.1016146293983633,2.2932814353690576,2.1608900304847367,2.3244511950509215,2.2330814601854616,2.1873998070657796,2.095400378645239,2.109743298799276,2.0537081903236425,2.032415853597538,2.0077900135623428,1.8800443843592773,1.9319494964726163,1.9065145276568718,2.000254790391105,1.93670412103373,2.0925564992985115,1.8366231619233628,1.8456207170542827,1.9378834046290334,2.053176442056713,2.17885761890499,2.3121841590548646,2.226846525108574,2.7243098580131653,2.4224631419760105,2.24106578597183,2.190080753496069,2.181843757535476,2.0779123868146265,2.351357633967125,2.4609679673222042,1.9429124627515182,1.760633137678324,1.6303687788942174,1.6200159761235386,1.5319768611101618,1.4962236423802433,1.453688461609593,1.4210511528296608,1.4593335283255477,1.3974035360691348,1.449494554455378,1.5672592799860263,1.4965403347651485,1.5305653586567918,1.6922513664809624,1.7085477799288085,1.6254993050959696,1.8455564268404787,1.96256271991614,1.995823068600034,1.949894483516701,2.118188571076984,1.8404678603662226,1.853681842682268,1.855516767672473,2.033971748852284,2.0571108289742077,1.7276368083301703,1.6195619119228954,1.6063307639180069,1.6137293679677172,1.8014494180859333,1.6722567979959209,1.6408537547124054,1.7385915390595068,1.822873128706606,1.6998110584188786,1.7338050398973588,2.1389861641748547,2.0397170962390536,1.7449103199364229,2.0655192517345586,1.6199538966618394,1.70400231251259,1.842949936835717,1.6337242801271685,1.7839763424352764,1.6144374018959493,1.7972884206517064,1.7209558360879738,1.6395865939541328,1.6305093807572504,1.627312173919981,1.4584645683938169,1.460326326150189,1.4579634108947002,1.4398835719253633,1.4805431517658814,1.4672064019134865,1.58412623989948,1.580937690247871,1.5633080846207958,1.576794655753817,1.5664367262686079,1.493396133873417,1.5724051927345377,1.6211302493330115,1.56931921998654,1.5527218742760283,1.6645459040069972,1.7097539849747134,1.5865124117070921,1.756220606979639,1.9365240944218267,1.7988685067834826,1.723346085312517,1.9794375577467855,2.1878117140241864,2.1338876832172264,2.0749207706440713,2.6470613739975914,2.6035933067508865,2.455997720338178,2.2457122481635086,1.8620768327321435,1.7540343276934722,2.0242017804966106,1.9259869275014572,2.142146659830698,1.7715242188703524,1.4560392919530472,1.390658587026141,1.5361867794348716,1.5901605556479153,1.4416962980019605,1.561165965051815,1.5364571963244198,1.6322626611818614,1.5719965235575533,1.6426346010754307,1.6297315216649892,1.5477567516195514,1.4709467909109566,1.4847054274687659,1.941517614096433,2.8503518102180503,3.187088679615608,3.8903399519367112],[1.8806045016404125,1.428729427707464,1.432298290700146,0.7319295113185699,0.929080783591508,0.8754336287165154,0.8746237545642624,0.8978180572444854,0.8973107951140985,0.9251230826874953,0.9350550376781653,0.9598532851765461,1.0637657325811247,1.052027229473361,1.2030085846674436,1.2129861506674813,1.233660383607435,1.3511118605363186,1.55430817576724,1.5571147439487711,1.720537761201403,1.7935757558473944,2.052213291104678,2.1398208071633396,2.0670829721335444,1.7615204791790686,1.6420638668843601,1.4519860927732668,1.3603285999394614,1.2712153179024097,1.27928004961968,1.23689972031918,1.2446294743340607,1.3167235791566845,1.3555518057712614,1.4083803926810037,1.3599625108838234,1.532772276563613,1.5301793749663792,1.6773134430224368,1.7151625698745128,1.7020907990673206,1.8576344406392877,2.0593427866825063,2.5602908507541824,2.674450111551977,3.2937068622887073,2.515320713504666,3.1700760858447756,3.9808162561256064,2.8793690391486417,2.387188619466831,2.114625509517119,1.8486680493908125,1.9833194366325775,2.000510219982666,1.5903762115761324,1.7571002405495768,1.654596525466636,1.7415618333204828,1.5623328594498958,1.701459420567414,1.6479198244062803,1.7270012496104885,1.8325812329855349,1.7370509480969447,1.6276651938711988,1.4774617785256328,1.5170485931162467,1.3571925849207032,1.4309688973821146,1.5886115838665769,1.4186734633284959,1.6228334670832616,1.463414746009975,1.4928191644616637,1.5561849789763054,1.532998386419201,1.5627043720252136,1.6813521180253164,1.5577117063641646,1.6889136321660527,1.5309360500186158,1.718325319514546,1.615548950641021,1.4789810494455164,1.5480400347116263,1.5044417085488315,1.5201548171454784,1.44920304765636,1.4486557261238813,1.4630986474282874,1.3688155458199849,1.2699718910094253,1.220935065098323,1.165191950364038,1.2108255339015408,1.1484875062861228,1.0685500235297545,1.0514597555237872,1.104414820628021,1.1302153844901952,1.2058535446879202,1.1576299582249405,1.4373130068288553,1.1211326003224757,1.2203544245336113,1.2879060146722785,1.063572954278641,1.0014729676724514,1.0423295063839668,1.0330503836337293,0.9636255170419626,1.0523600897809104,1.13563168818392,1.2095951884224154,1.3461963789415874,1.471310897365461,1.6093686945444128,1.3916162757456079,1.3182838694838352,1.195696527935278,1.1648685223123594,1.0033409422942896,0.875968918019775,0.9971547175995519,1.2038406400975055,0.9734016922122737,1.0456730303304735,1.1558212141150601,1.2141539848089287,1.2641755644646628,1.3515550213249088,1.3228986780714804,1.3375094945105135,1.2365607376803511,1.2316073896301614,1.3810007624223117,1.4480439733544734,1.4267329808510263,1.7364136784338093,1.9384636852042807,1.700963927220564,1.5643420855732646,1.5738230534111122,1.3826801150885804,1.3249699692283143,1.209510545187749,1.1238384231438834,1.0079562739229144,1.0117264530482646,0.9324849973948515,1.0827238506125714,1.2492166950816295,1.1939420543048285,1.0249397872934038,1.02217703190171,1.0350069944459757,1.1259354441633718,1.126486666196091,1.2480929671344794,1.3564728327080904,1.4476530017266211,1.4815287601729552,1.5890548259232145,1.7337369093594817,1.690411471857641,2.0393032189557205,1.8399926062127032,1.6321830584295147,1.4865256070944934,1.4642111102994335,1.429606414968371,1.400263653264267,1.3613985327885232,1.2510575953842689,1.2749690701932237,1.307200251353109,1.3843868909790857,1.3739281830373826,1.609858826963798,1.2295327451750242,1.3607398280002754,1.471965522457956,1.4997114099234843,1.6278517549792468,1.7875042009420135,1.9236355237739682,2.2455209665239653,1.9780463215860535,1.9671368446504784,1.7793634250779407,1.8517146989714761,1.6804020769673451,1.916015618161474,2.047517649641473,1.5603938457901319,1.3954842606319078,1.2846719618417306,1.1990451605971517,1.3253610910058382,1.21274593232061,1.0978456466704896,1.2664930865575832,1.3393591345152687,1.2164919948128694,1.3849857089081035,1.5288573943145625,1.4076406346311356,1.4497638937648685,1.667655692730742,1.68105131588176,1.5706332084267045,1.8444139624077909,1.9431266128839957,1.9808752739884183,1.9499388746033872,2.1064964955687455,1.838462970296907,1.8692399903782002,1.8929766604765939,2.0875095809750768,2.1135032800490237,1.8218805376025078,1.7102951706530076,1.6556670121651007,1.5691653697898178,1.8124632717788103,1.7267469576267878,1.6390633684943685,1.6676638505391268,1.8515661306763966,1.7563066820866247,1.666753639594708,2.067883498026269,2.052006267118839,1.778024176566988,1.7879523106346167,1.4678276358110667,1.441238271000235,1.610047863846359,1.4717801899832106,1.5371559621224653,1.4819473091269875,1.4965590019202735,1.4122552136442972,1.4581425078531935,1.3736347972271854,1.3182447776255999,1.259924745833915,1.2714671117919187,1.2405170337304965,1.273920449314796,1.3923832574071389,1.3592027535972468,1.4981651578426982,1.5138965017481383,1.5215241384666114,1.5562747567283282,1.5466729494857685,1.4409777208918102,1.5707551346157171,1.6506868037486107,1.5596872659656342,1.55631741930843,1.715438696303919,1.7397636401880394,1.6062786176563326,1.8353768318648704,1.9984411961107882,1.8402753497225306,1.786287690098674,2.0856010445465105,2.2308845188874726,2.125229852073814,2.0570163103586543,2.6103629558229544,2.5224226359193915,2.387007693159489,2.211966636517783,1.8487286270276424,1.7502836772360255,2.034638510763485,1.9158989565682796,2.1145373537414733,1.7396494653479375,1.4335325369401937,1.1576735599575427,1.110814115002757,1.0381464694554305,1.0739802747893181,1.13937744525686,1.1779410228565224,1.1413657761485059,1.0764182029895024,1.204591156715918,1.112435352333238,0.9229637772952669,1.1239582459074131,1.11662316498546,1.3156289476869991,2.624089867642066,2.8978741331435254,3.637721614938056],[1.9109008448609697,1.5947152305786956,1.707541931153363,0.8291827635215425,1.0156013376978024,0.8370435726846758,0.7555381193854827,0.7706208985254447,0.7636160852239189,0.8146156056936225,0.8354839178032119,0.8238842691183474,0.9387051901685276,0.9902166433149973,1.1338040753518333,1.1183125458110466,1.191659314859709,1.3458066777977749,1.6099472647652167,1.5623118042598223,1.7697145930967495,1.7947472886587188,2.1358988967694765,2.2364114882334682,2.151215298664424,1.8538238206920192,1.6548210771403358,1.4516090090783165,1.3086989388100492,1.157315927060133,1.211932307102425,1.0825032240949994,1.101678127452062,1.1937394698305936,1.2164339517740494,1.3195991394048985,1.2073978250578632,1.4153177268838104,1.4179932823698163,1.5026057004260327,1.6379476395278412,1.6655422091712169,1.785949404949293,2.046123392898096,2.582890709929339,2.7622569967768373,3.3208761246679006,2.5224265229182437,3.276143957718418,3.9898713357978366,2.7520854645222363,2.403149287947141,1.9687496306762338,1.6605190327986195,1.762141177140628,1.8793160919441683,1.4850852919289663,1.5373707380200423,1.4477362964915177,1.6251398201494633,1.5245003942281077,1.6711424576959673,1.617574265998695,1.7201337963999566,1.82325077974101,1.7072622344798867,1.6845633282745778,1.4928523216228706,1.5837026063757729,1.3960757013789025,1.4973483098552458,1.6151057981639778,1.4690843165236398,1.6814078412953717,1.465134931214107,1.4602159968344728,1.5095285651597432,1.4429031391832934,1.455440891987607,1.5647537422634707,1.3763271149971943,1.4987121655735287,1.3000380791577353,1.4805243148493705,1.4268898286106555,1.2844932338107418,1.4048644698345099,1.3492743315981706,1.4187290312572058,1.3201694021719046,1.366818551877071,1.4189959192976578,1.3165336150945264,1.1778431886776106,1.1218040424554034,1.088276147390426,1.1330244327773897,1.011085439348177,0.9092768115325636,0.8872566124640112,0.9064642673378647,0.9429518876142762,0.9800552243742896,0.9043484460663459,1.2213242369520456,0.903844963656274,1.107266163092416,1.224901482921065,0.9951163942672956,0.8792108170570865,0.9507741412067515,0.8373178804999305,0.7888895032086108,0.8865194160692632,1.0521151828942195,1.2015396663434936,1.374608043674075,1.604950737294768,1.7337962241751002,1.4454825431022886,1.4049709054333595,1.226853632506949,1.2346318201418944,0.9726886695951431,0.7517720391363576,0.841665079469668,1.058650243670038,0.8064391670095344,0.8892722551567936,0.9387420431181156,1.0290650991154557,1.0909493782862962,1.0726373346113205,1.0279212413382404,1.0471609234164472,1.0073849121691085,1.0129985763690625,1.2536350239413592,1.4008708224127078,1.372623351133701,1.9132745443555415,2.05001313002613,1.7621557696098722,1.5641513844746295,1.5203199823395555,1.2861558659669068,1.2323392356871246,1.058469137054679,0.9272976270327774,0.8281357366979956,0.8464960187409835,0.7820015070003931,0.9285415512299786,1.1923968372505307,1.101337067805007,0.8573709330052522,0.8387892131395772,0.8377825361543915,0.922206013957594,0.8943734723357695,1.0181258431524052,1.172961511709095,1.325519510551898,1.3101664653011453,1.4051707186116715,1.6804910596622882,1.4984843234938559,1.8932267417287292,1.7479622495325275,1.5726411926194153,1.3019820490327043,1.3182105633326855,1.2087954800192078,1.1590526324860844,1.1192204371196828,0.9889323894673907,1.0495247826278262,1.0474323021595369,1.1381322008953685,1.0867167919855762,1.370226554013812,0.951673757240738,1.0484337359511329,1.1499557486281844,1.2114307737588752,1.404475238013357,1.6250843950977256,1.6425088778569379,2.232416384341539,1.7999431206784402,1.6639552690513624,1.5045551189927797,1.5607119203393431,1.3869131466387186,1.514690941218783,1.731366373931492,1.3063982604130682,1.2929600025768746,1.3609824318915085,1.220028564604331,1.443799894805139,1.3175749350473778,1.251954915506417,1.5728508096150073,1.5930301829910984,1.5084894234716644,1.779326879339447,1.871045370190317,1.7005852063686608,1.7607407756625648,1.9782620540750235,1.9763432114025719,1.8563594592577803,2.0832451616172376,2.154399858765709,2.191974981569025,2.21592589198813,2.364694339160632,2.1506665799370803,2.1537107807522555,2.12894333206685,2.238140615014143,2.229797913467508,2.004001477582965,1.8831744046853176,1.700348325221733,1.5819535700325364,1.6445657162242835,1.723739518513656,1.7063761221735976,1.5589720817766715,1.7210597234248954,1.7794042632348128,1.6262733466547956,1.8495290845380143,1.8763180951433593,1.8426322252700271,1.6894840307296506,1.595650978982583,1.3479493314927529,1.4345756735863713,1.4653093975680571,1.4250496112696436,1.4367203965521078,1.3863207656167305,1.3553116989678462,1.486169800542484,1.3682015427423253,1.3671816833443793,1.4301539419501346,1.4391091682476076,1.4191002253468734,1.5259023780780798,1.6522943836507311,1.6103018902737094,1.7519044103842334,1.7985375235788696,1.7842686529557026,1.82231752003741,1.781296723890374,1.6534516827288726,1.7023605594671218,1.8763974300482194,1.8459803595781417,1.7478461848452447,1.9264041940636236,2.0132232029470756,1.8825498102433784,1.9777983073524847,2.2011405438765688,2.163983154486901,2.015956320209109,2.1874989680110555,2.4173986415355246,2.4121672613759086,2.392905587356405,2.725543523687787,2.728020172379083,2.6129302329751023,2.4909838792415084,2.2138054039048547,2.0811670228005608,2.342558834777806,2.2948561339896774,2.4873803246638286,2.2275449079573804,1.913349263966156,1.5233589978361004,1.256297755277565,1.066433864814193,1.2898167355222,1.2382408684016453,1.3174543653604103,1.1387340097747967,1.1136058085035865,1.283430303495061,1.1315124904689369,0.9072293622649521,1.3227499428517964,1.2629375838825156,1.3215378603575645,2.731296852625255,3.0105224179932515,3.717324015498794],[1.6543770620418627,1.3783337776068227,1.43300961596721,0.7118637051650953,0.9145669344244076,0.7269608699202484,0.669456963856798,0.6830632109832234,0.6394389465610097,0.5863527144128248,0.6038646702980288,0.641464508009992,0.6686278251159377,0.6725554532547741,0.8168387511796887,0.7780233171180372,0.7844225742837401,0.8763897644736393,1.0866696370973912,0.9816821206723596,1.107687922149991,1.1337177564189305,1.4065259116381927,1.4544289114661622,1.4177956900340962,1.1991413300024798,1.062660957727245,0.9401805953461028,0.8736925422048977,0.7981092236974524,0.8333855987902807,0.7912309988781002,0.7887959036456541,0.8643861758435075,0.8798180720306624,0.9130208783385448,0.8590199958175706,1.0271407748281567,0.9926359239284019,1.096114840140505,1.1145070590017148,1.100698046088824,1.1519267499598396,1.3102820860559148,2.020778387017979,2.13852676140961,2.861315907158614,1.8572569367862082,2.6899170165558437,3.3426407316311297,2.138589165826764,1.977617652654685,1.5474897678377106,1.3448690251990747,1.6187985796098718,1.42293875202682,1.1697337726484225,1.806517828085297,1.436235961854981,1.493070699191912,1.1144906409276751,1.1112972788384885,1.035190507464252,1.1157903854067714,1.166740060919562,1.113997659389566,1.0796492941451405,0.9620996109374613,1.0799549561602626,0.94801911062114,1.0617777944297286,1.2508529488406566,0.9907935480442718,1.2220888204102631,0.9690782257724326,1.079380621175902,1.0140350825785875,0.97155362714723,1.0024315487080009,1.1135809282541271,0.9972852105110088,1.1493124687310416,1.056112762351027,1.138879538135847,1.0833883038732475,0.9615472680177797,0.9868368477487734,0.972596792484592,0.9630834541720712,0.9154866573596465,0.9528532090470153,1.0082501847768988,0.940260429723869,0.8189300618819981,0.7901017283601812,0.7839801745777789,0.8484859943776455,0.7473756751944179,0.6958725603084641,0.8004833971178537,0.7467039122481292,0.8782379337229138,0.838695536158997,0.8131196633290979,1.25738490644255,0.8746700856978484,1.1115833478589687,1.2732552208357406,0.984619441811538,0.8529458871448803,0.9002857197211485,0.8056751000520094,0.6982888149440196,0.70791196419716,0.6753959584574625,0.7566647388219644,0.8698219582684723,0.9982417254902863,1.12441068694624,0.9197720014454712,0.9221241623454494,0.7955081327218871,0.803981854564641,0.6351717328186127,0.5746033841779693,0.6925606062556439,0.9410289198787571,0.7903570597503896,0.8785134865708389,0.946161727566751,0.985467806481727,1.0564900472298266,1.1053292764439913,1.0383413204812044,0.990584909671959,0.9489512048472788,0.9495015030846331,1.032088757896487,1.1818765484228193,1.0757445791084237,1.2605930326924721,1.4179316753734,1.1579807516406746,1.0519138411225215,1.033601488231987,0.9386693815536087,0.9111646487290036,0.7827556125759914,0.757868886863238,0.6905502329187577,0.8031783388837347,0.6817550511767558,0.7984916224171572,1.1455322592574464,1.108625720693734,0.771307679131125,0.7220004075501549,0.755783687242611,0.7716181007998739,0.8190085374011603,0.8265858040973504,0.8921373115190084,0.9591134969559658,0.989183138200485,1.1302589889142638,1.1358980830806649,1.3330873254607463,1.79970255177554,1.7569075321499477,1.3615704527541812,1.164174715428472,1.0367082153272875,1.0039710125178334,0.9793967868300331,0.924460542328608,0.9035973646138864,0.8458664841003,0.9385215349537985,0.9526698137128135,0.9871059244828894,1.3347290800975258,0.9497056955602493,1.0777036605349504,1.1324867948908397,1.0938412025516784,1.1042612241951009,1.2036927305874168,1.3712105678063484,1.741123433513558,1.4594389550257776,1.5579253858604751,1.3578166227609085,1.5747901348244773,1.4435998283062368,1.3723145050731407,1.6094995019732363,1.2382316232852424,1.185139296298635,1.1481040836627792,1.0619297662896345,1.1635721851370613,1.0955430390152299,1.067655532893063,1.237877468891457,1.258760869028431,1.282646933898865,1.4705849393516899,1.490937325325661,1.3950253218369113,1.5348662068659715,1.6811656929982914,1.6539433757853275,1.6547670605711977,1.9014909930235804,1.9104686418660202,1.9299872720237579,1.817239094131109,1.8480356123353578,1.6554840260236356,1.6596685127592714,1.5994874903487475,1.7493290786806701,1.743502483720362,1.5824181669355712,1.4918598237077996,1.3561731668892114,1.2889248840057623,1.3699479594682338,1.3740911827340534,1.3645971283995233,1.2888967217892093,1.456137664153989,1.4403599448280517,1.3375328035200835,1.694698902645085,1.6967956020166313,1.4897448135125162,1.5518162724841462,1.280924455426677,1.1764548456498385,1.2321118163904505,1.2160439276618098,1.2323119298970835,1.2190580238338102,1.2204983485090017,1.1589673959782107,1.2254054735291322,1.1690967397053464,1.2110165377963058,1.1882604870252949,1.2133298498866856,1.254273017238025,1.3219470628857644,1.378343604991965,1.3880983768240425,1.5929275751734986,1.509937143240068,1.4442801609091045,1.439081027793317,1.403193663293433,1.3204760086137517,1.3210189650015667,1.4365694755613063,1.4266226464964582,1.343087373603132,1.447063929507231,1.5071100396940262,1.4102624407276037,1.5216603482809148,1.669310001064353,1.5983041848199415,1.5176417188641749,1.6922282866868317,1.8461434647195807,1.7980934253491658,1.7908573654223612,2.2136643023778118,2.215219655181158,2.0756881253517534,2.052302904580896,1.7912186372737575,1.8231887929740702,2.0679728825985024,1.9121994212905515,1.9662539435530477,1.6495593781660296,1.4230651818631885,1.2479422188603584,1.06817038750818,0.9701356815448209,1.0729257705117208,1.0555874559216052,1.0895180235172965,1.027738080473837,0.9886587394672167,1.044123469070831,0.9283114465838588,0.7878832404527475,1.179443565784072,1.1035115347888809,1.144188844630998,2.61146825605479,2.7484156009684173,3.392886090211544],[1.5709096365734008,1.4469550210938522,1.688002378688059,0.9937571145984015,1.2480300456537687,0.7828569545754894,0.6489860318520927,0.7049280826274459,0.5101545865591757,0.40959527763076303,0.44265890663022295,0.4659221797147703,0.4832635487594965,0.5758181723058259,0.7415646885871884,0.6479220220568553,0.6785406809323858,0.8294086723473697,1.1334855794398526,0.9703621393259474,1.1417755563273038,1.1350150706323432,1.4499718612464374,1.505036614436035,1.4322848836193036,1.2691526370803652,1.063452636188131,0.8943181504732701,0.7946049276666461,0.6873346559103378,0.7435673068060393,0.6805218092464331,0.6794780942047117,0.7740015302073783,0.8045511688318021,0.8431364257442533,0.799503136054924,0.9987279545163394,0.9906420472636052,1.1572431487832333,1.1367896290241126,1.097177922313063,1.1342012239095707,1.264656528214643,2.106484672224914,2.185515912762495,2.9498928327693634,1.8322997944486168,2.5283652258522156,3.0307630862286583,1.8743298013504273,1.8705687954109786,1.5727236284672605,1.4556706592227295,1.7834617454616086,1.4378596489524649,1.2119697698008776,2.0439434017870006,1.5660827814684903,1.5657641619439122,1.1255480083145997,1.072348836597927,0.9880945737040809,1.1120292590888579,1.1474309980120267,1.0898890188318728,1.1169598529540135,0.9645030562545148,1.1526942229605364,0.9955194113954826,1.1581829648414559,1.360278966614171,1.0853126896203462,1.2879530644870791,0.9820088866078837,1.0739192277763836,0.9886210072355782,0.9235949670325347,0.9545502484960169,1.085202925575144,0.9947436586068497,1.1958359156458715,1.1394596656767215,1.197065139596873,1.1462309386866967,1.0059291657076217,0.981509690518623,0.9328488047645641,0.9172277008691617,0.8538237051009099,0.8962106234194055,0.9858583112775002,0.8840493376463513,0.72902091398044,0.6846436457100936,0.7044493568327129,0.7867525029813367,0.6161659734731586,0.5416250118399629,0.7225466924531762,0.7072634019652905,0.9869030284671001,0.9206143149662375,1.0287097713897395,1.6111295643305914,1.2508369036706297,1.6038718174358049,1.8445465778263392,1.5602346106201965,1.3315464099664176,1.2691268786641434,1.0835335483607593,0.7695900976353485,0.6773339485646789,0.5147354181435377,0.6417812163843922,0.8219356508748878,1.0735161338536068,1.2508162163048346,0.9541046361060133,1.0160962993033844,0.8115095090288907,0.87527224266378,0.5307451066030889,0.3751495504480599,0.6240151214799451,0.99827730301723,1.1414667839348658,1.3673670255856256,1.4789544552389178,1.602618861252109,1.718793898835394,1.7645233808354528,1.6075652696401288,1.5561172573697661,1.3820039579761136,1.530633001637321,1.1859140323590074,1.1230994876518714,1.1340246106134642,1.3162611230175691,1.451983134044613,1.1775573535894488,1.0197345409100111,1.0237414453947484,0.897293031350476,0.851128257168928,0.7098874045061269,0.791956374486896,0.6631661769113231,0.9265327372797798,0.6949827103605244,0.8597568025285725,1.1233142908384528,1.0845473860446413,0.7685293140801859,0.6863160904233078,0.8534516830572021,0.7725617721702415,1.016187875536077,0.9988359261300729,0.938059853390828,1.0255839295719154,1.0987067119169631,1.3518708631579799,1.2116508368129293,1.7062408484177343,2.0579232400787872,2.1871691088716414,1.8133782854953882,1.6695062531144513,1.3236037501611913,1.3163823451666194,1.2524487494187162,1.1276626880315284,1.1541391191363324,0.9295537952386782,1.111047396893299,1.1354768380455127,1.2734495029538466,1.6541906568951477,1.3749560864637063,1.6010261292080938,1.650855921653856,1.5375722223368697,1.3453154302314265,1.300923268086823,1.53245073492806,1.7231127742780452,1.5621174906717818,1.897963328242547,1.6959816823471172,2.0363443567115014,2.0134895640644124,1.7410415464379227,1.8738130347798692,1.7988622268059224,1.815217997591174,1.7277583819612279,1.6407340451308199,1.745972866183802,1.6904428226420176,1.6525798932864892,1.811414975020837,1.8191438468889123,1.8338069824607555,1.9587179909223695,1.9573926874166512,1.889280782242972,1.9460184190679546,2.0368899923377257,2.0207619123132092,2.0157600273433274,2.1477793520334942,2.153584860159551,2.1811020472952407,2.111923210560599,2.1102500978166057,2.0207726255310807,2.0394484270844337,1.9768980666969587,2.0536457195987246,2.0736542726246063,2.0913060747043657,2.0017777924348854,1.8624472323364407,1.8358423855310362,1.7977066729585631,1.8280443573052456,1.8410372573220308,1.7562066241197563,1.8501163743542,1.863136475212823,1.7762176035167754,1.9646233572887772,1.8486244589172989,1.820387782312467,1.8856962103362993,1.7939197716195534,1.7668427206852315,1.6999790725426318,1.7811128995801038,1.73755299166013,1.7676026426220564,1.7030673438047401,1.684294233037869,1.7505969748212038,1.6895740282522442,1.7178537044779723,1.7626883906952273,1.759043720900664,1.7694182026553626,1.8298319271273469,1.8904461289885501,1.8760434877045509,2.0206482038641895,1.949002505097487,1.9038032831864704,1.9013655697409797,1.9070295761266125,1.8744724755048643,1.8412890794577714,1.9144677975352629,1.9151771804898454,1.8678775611784242,1.9058065947657303,1.9425323066260898,1.8981306625213017,1.92213895472026,2.0017926560656134,1.9949452927387994,1.9053390033678284,1.994123733837291,2.1223920443940845,2.090397785492843,2.076280269575739,2.3025680840373832,2.309881007099327,2.220571243959556,2.2044461131515973,2.1108790926812033,2.121709303743706,2.2248197232261524,2.1603431924535013,2.1629486261188267,2.0327334645560806,1.953235364221274,1.8365316023756626,1.6648742558484713,1.477069746464374,1.475241146044469,1.4426314831115825,1.433125324819306,1.2179418223249452,1.2138718133244282,1.1974715178161066,1.0365236572818073,0.898288424826903,1.4301846732537107,1.2245280401021055,1.340523968300624,2.8959011708945015,3.061744309429454,3.6057781645535836],[1.8759499209905852,1.6746377064373028,1.9254231576812033,1.020489565648934,1.1893286749157312,0.849310491204366,0.7096303421257408,0.7216148897736657,0.7607391856617748,0.9299062091550264,0.97125089080258,0.8531608217370918,1.0371944177602428,1.2347938274612704,1.347130821425057,1.2831810053917196,1.4376261314324483,1.6358656731234753,1.9722813518617142,1.844306721331343,2.0772449843941367,2.0316584724199367,2.396872128475365,2.5011691204221638,2.4285335662504064,2.220889933035057,1.9507481191393041,1.7505844852439514,1.5265064577871328,1.2796834859762576,1.4154547368973436,1.1505779052405471,1.1783333153325048,1.3052782624041546,1.3112026077117123,1.4808345066609347,1.2697688738213935,1.5422899690979046,1.5452395531196312,1.5148536525077827,1.784291173544754,1.8747530062667077,1.9182435897349357,2.2020798527835597,2.7814992863216728,2.9698019516798078,3.458637748347316,2.6114508094411257,3.346536031911113,3.8461803200296587,2.585576634535833,2.428964614146685,1.997484048737527,1.6856965546381442,1.7479395183843343,1.9465467125337959,1.6378757601634215,1.5857862554562852,1.486888384463213,1.6779663258075537,1.6492959883858946,1.8279147968584195,1.7955510944764739,1.9463386195070624,2.0360861137713733,1.9107509219452108,1.9956566299996594,1.787768411339661,1.9525121902960034,1.7414250673626939,1.8762797531538484,1.9807226111119773,1.8258161029221756,2.0229580057288543,1.7642595013229723,1.7171503457724282,1.715326253745275,1.6078462408538134,1.5811087504632417,1.671076831784356,1.4128446373764225,1.4773756410106738,1.3105063332174731,1.3806329382124196,1.399240371015079,1.2964423075219402,1.4943046815611143,1.3854832056152027,1.5738657337639168,1.4328751984879966,1.5522384189441933,1.6283376029003584,1.5222623002132092,1.346040284421696,1.2940718565143372,1.2869330469205056,1.321021323449083,1.0941733961196036,0.9383502073279315,0.7995049924734079,0.8554274568735863,0.8582679682790828,0.901280973810365,0.8218302678667023,1.2153105366125792,0.9116914343677406,1.2924566505251585,1.5114532201842064,1.3202345197216667,1.0684890275806445,1.0646942532461683,0.8037583650957121,0.7162210855357624,0.8895186931429637,1.2391293538106527,1.5244194447985666,1.7371112442521937,2.0817983033523237,2.185610623052993,1.8368756375521824,1.8451411303552219,1.6085840521849728,1.6851003884201217,1.279374794023564,0.868415575354262,0.8527112942587011,0.9519038471805839,0.8043512344423156,1.0163247977648877,1.0355416164594646,1.2917142919902003,1.4118358964140993,1.2832434443727914,1.126787236340371,1.0633481570725554,0.9830742537974423,1.0714879519729772,1.3644013498614789,1.7164823522259187,1.5896733213855216,2.418652244130566,2.3943648891920937,2.1204289853134144,1.8652525533050808,1.7357967334314295,1.4567291745569388,1.4008962857385687,1.1247516990980935,0.8742399687204145,0.7631644406665515,0.7989742791000509,0.7053559283863627,0.8918509855320775,1.0846344144919873,1.0120634086958298,0.752156732071534,0.74779203068701,0.7524779890886497,0.8586656158065554,0.8162185824398523,0.9687344856527516,1.2073656062591418,1.4299520069947944,1.3525324277957669,1.3878209553480962,1.7020169266723144,1.4247998052164799,1.7725758639172915,1.7443046485714133,1.6117165362021586,1.3011008272619813,1.3407294186107288,1.1646118109410066,1.1158642409652868,1.0695127710158898,0.9245954776492235,1.0134256525041732,0.9766442122029807,1.0796693547970868,1.0168486278570736,1.3760227095152657,0.9370831611111995,1.077041674828713,1.1393435959748897,1.1389663644161305,1.3041379748926083,1.59319503295109,1.5688069878464435,2.2155333710032323,1.6634892327690518,1.59002724612305,1.3580955746148327,1.5415275937727828,1.4634120019682315,1.3983376822986977,1.676629423046256,1.573284210226642,1.7188135959508124,1.8683743969750477,1.646838192014694,1.9213059154401213,1.763367013456475,1.7107060387330588,2.1076550999634667,2.0897407928239944,1.9911026427747875,2.2667506700395146,2.332182384587427,2.1463759962649176,2.149353548278982,2.3440877402623572,2.342582449726137,2.2002466502703717,2.3435065185469197,2.4395029476395984,2.496574568480088,2.5353691841172883,2.655229625369968,2.5336731898029714,2.537272585758122,2.504140756091362,2.558170280526483,2.560308814048022,2.4795110454978313,2.350678147606962,2.1327287024942567,2.0100938966953823,1.963303897618065,2.1154741541279827,2.1259474972155337,1.910794956915996,2.0465851806971966,2.1802305922812497,2.0026642508696866,2.050059793455531,2.063955009934927,2.181356536263418,1.9816006219834312,2.064492569583505,1.742678369615013,1.7277572078495997,1.8838264203734036,1.7322155295263457,1.7914946794844893,1.6308992354551204,1.6800744616249992,1.8508864384486199,1.6967395955345619,1.7122627622573596,1.8780845960236536,1.8578910575451126,1.8180414286457318,1.953507626774909,2.0920495785025133,2.026216603995272,2.1304432170175827,2.198951648819808,2.196955052390168,2.2448137633563165,2.225626263786436,2.1243130621935253,2.143326721876536,2.314002961991525,2.2977885155678988,2.215030536594768,2.3578999921244392,2.4343546044691333,2.351726318414497,2.366802224690991,2.5450137461549804,2.5656553948449603,2.403663179376304,2.4871778679410395,2.6953678685369007,2.699116372876114,2.68496983886964,2.8181988108863165,2.823125735955399,2.782129576686234,2.6736241715450726,2.5674007096182843,2.3990500708540727,2.528584325899019,2.5806624813657093,2.6993881398782684,2.6191743369873124,2.4682465649022953,2.0946766731566875,1.7706619494220814,1.3687037875274835,1.6195838001122016,1.5011247099798977,1.5681853098115186,1.2173187788588,1.2375127090311766,1.3896765012934393,1.1817756232197896,0.9261093701066325,1.4987941906135758,1.348706138420498,1.4668428422996127,2.9170707549561636,3.2057745896096432,3.792880087057967],[1.8395050673286324,1.570890078832811,1.6589562949588978,0.812454388139532,0.9227243181817701,0.8001389591502568,0.7967121218242311,0.7859815040417246,0.8572093113343995,0.979953021247295,0.9954498752191034,0.953239189547221,1.12105459622759,1.1672574163519043,1.285366921500956,1.2924710311816316,1.3856511427859417,1.5139298152298637,1.7392084484666646,1.681075982294866,1.8199511038740857,1.8302735351526747,2.1115831417953435,2.1637987316998846,2.153441179328658,1.9350223692594333,1.7867395294549022,1.6351451476016718,1.4910236272996347,1.3401259048152812,1.3756485007454688,1.2419487027500675,1.2440932195219572,1.3421227766328514,1.3712156196018106,1.4768023244156894,1.3737671146781696,1.567699385948706,1.5555152469440965,1.5909185770104546,1.7461835317509666,1.7737659499158869,1.8272096592777674,2.0598059441734673,2.657650667430892,2.825354223139246,3.35079725207686,2.4782494129209147,3.256503882808396,3.757895218435185,2.5362238269914177,2.4456144586597044,2.035288407335307,1.7493027007237358,1.8400717939967406,1.973879352845173,1.666211668202977,1.6308553813235591,1.5245125367009256,1.6443916057540957,1.5614039682219563,1.7142230658571966,1.6800187012485128,1.7558205232873776,1.84052037222725,1.7748518896618772,1.7408597777068513,1.6099516247188324,1.6884310519720849,1.5310805724590468,1.6225918694326593,1.7080524224825715,1.5848636218835064,1.757248038010663,1.5843623667103113,1.5644432711404135,1.6129401034359627,1.5531756573436568,1.561373596498376,1.665335275699892,1.49156989214461,1.576494332190237,1.4414498007056538,1.5337182222032213,1.546094758650272,1.4187358543683952,1.5329216008704756,1.4824840332554154,1.5575131800410456,1.4561063146630973,1.496559843827364,1.5160349956519044,1.4238175228754377,1.3225186939963456,1.2768701618991658,1.235517100503915,1.2676332339162037,1.1493064819866743,1.050623173876567,0.9648100513738028,1.0271576250463523,0.9743484150308015,1.0971162739833737,0.9532953732984183,1.1515508471736022,0.8976050045762318,0.9399491848910324,1.10368147609818,0.8494229931230982,0.7566242948210948,0.8370182006176388,0.8987095065222638,0.8969492121728524,1.1066832479300799,1.268270087886145,1.4764837864356148,1.601210198554143,1.7868633289106555,1.854349575857779,1.6247385533599783,1.5910033331509208,1.439129297093036,1.4833175454817429,1.2240834548074966,0.9662639585503666,1.1010237852948606,1.1014928081324615,0.8710578830114356,0.8399778163411273,0.9028763370416558,0.904193644823749,0.8953207255122857,1.0116436990528275,0.9801918866723303,1.1064552462099904,1.1735482694489348,1.1264364412934522,1.5384593980653225,1.6973992005632637,1.6285891326308937,2.116567328839749,2.1120401467997234,1.8955628372675115,1.7547293192564848,1.6927940863057125,1.4804483098166572,1.449843530024894,1.2709627774808319,1.098174649527578,0.963741933077935,0.880623679388336,0.8190097986966532,0.9092690377039511,1.159332287296796,1.1252251478849802,0.8945426646123615,0.9377949877349709,0.8914012165644373,1.0672520818376077,0.9976344096579626,1.2000101169697708,1.3625233687213678,1.5197595154409342,1.455766599091017,1.4926085655969,1.6798730767717134,1.5301640856472327,1.8320884593897968,1.7950064779273693,1.7011577922378833,1.44322993884427,1.4946841758661251,1.3511203098031603,1.3143364632072991,1.277968591879974,1.11149621735671,1.1988137776125076,1.156510577394973,1.267227213334612,1.1768482022062667,1.4949782134124379,1.037917980134761,1.0805091990885558,1.1575360495660874,1.2790988498682194,1.4738306458578228,1.7011465208857455,1.6287046387034165,2.217270277196964,1.7518263425894356,1.6491052858432211,1.517396486812383,1.5436965877084858,1.3869493013079182,1.3621681848667793,1.5451443878976456,1.0728573729664752,0.9867005783357412,1.0278594321866663,0.9289428858043107,1.0948602615535117,1.0126389849594615,0.9943829456622196,1.3281255646019203,1.343067362435659,1.3543084160110275,1.6869145070072173,1.7270241110519757,1.550073538693734,1.7030836649148322,1.9343944504194446,1.9040209117776958,1.821285752048363,2.0839032211006816,2.1639973159700303,2.2110764400505967,2.129675037413759,2.2476469961682315,2.002443650339076,1.9836870650847898,1.8556632551353593,1.9902242904354213,1.8947515389640017,1.7578555293308675,1.591323952209588,1.3620388124039657,1.2318186340209523,1.2092589785629841,1.333207097729505,1.3382896655531002,1.1272374703132044,1.282226696132487,1.3913968303036044,1.1934843824668986,1.4626018092613113,1.482122497178505,1.431735281201856,1.4034256501701599,1.2052426401546323,0.9835675976646433,1.0499608262152798,1.1094633533474991,1.0828357038993053,1.0889104524216227,1.0838732401442142,1.031167986908606,1.1620325274180259,1.0755111520924907,1.1199557511843448,1.1906355726301872,1.2239120381113338,1.253591234603715,1.3865286944625148,1.4888998911252502,1.481738084392315,1.685618336714497,1.6908783305177326,1.6332636659340283,1.642982968600729,1.5492207137573313,1.4022229170730522,1.3873053773284238,1.6202697559129906,1.614342313785645,1.4291638797700918,1.6150643942683942,1.7493716767824867,1.5718843363551513,1.6032595939931975,1.8829674849453486,1.9037803036550027,1.6313523318517338,1.7761657290301343,2.0965736770457983,2.1229559483546683,2.2117263139578727,2.4694775447945467,2.5956502392641982,2.478971828409914,2.4527317493395957,2.174180056854092,2.083838844529482,2.3755230564098433,2.3115922217168494,2.43180013885023,2.1265713891205484,1.729777022850595,1.3621500068336092,0.9876587877319283,0.8709107164110882,1.1362058371357444,1.0481834551595905,1.127271366101681,1.013346262275347,0.9817752949066707,1.1413067729563382,1.0055419123659297,0.8302332883009332,1.2395919138313536,1.1646560362386411,1.2373737796198403,2.634012835262936,2.825493039153152,3.492968563542495],[1.949288932809398,1.5656734914410526,1.587381093037591,0.8322396923168648,1.1133768821275702,1.069899726657396,1.1479671359379993,1.173695850821691,1.171834212335578,1.2631743820769794,1.2626038068721865,1.2891019165751993,1.4489687253938475,1.378668996228251,1.5087770294677254,1.5841493146946226,1.6373706462834827,1.7356145276400181,1.8804501007583945,1.9205349655855588,2.021160144839594,2.0828915233543395,2.315306348356442,2.3543744271941476,2.374092327137229,2.093533890277371,2.021710113415528,1.8726122284399584,1.7789392271447748,1.694400026879721,1.6475258581209096,1.6130292953377559,1.6018939432630332,1.6821891678287204,1.7354217303204522,1.8049863621319386,1.783343575471547,1.9146023189206995,1.9177750809497343,2.0296861439659306,2.097717545189254,2.067513763850191,2.1601306447790622,2.385247379181035,2.8651646866319123,3.031114205693626,3.525638659014048,2.784773531836245,3.5347314210237517,4.103366581074347,2.9163035053214887,2.745174556037578,2.3810965488059432,2.139539590625116,2.1458584523596738,2.3412490876358922,2.0541536162492346,1.8242548080398338,1.8233452387619509,1.9250171199262447,1.8834665264295842,2.025003156716371,1.98896582261346,2.0082220263972106,2.116598732974118,2.05874960506718,1.9272869563337738,1.8209570597040972,1.8053909921576532,1.6649873491350253,1.6927319785054287,1.72867812047725,1.6889141803612469,1.8694779727986868,1.7819404227904143,1.7677246745604565,1.8846957083338423,1.8601872492981393,1.904076651025783,2.0307139475811637,1.914649436098289,2.0114540518043764,1.9065841996556123,2.047861025848462,2.0247344461472636,1.8757080315705732,1.9207450522071865,1.9031380313993174,1.8908272171672624,1.8037992764981858,1.7783013601244497,1.756345492390948,1.6676404785719527,1.6068214751337393,1.5530800719367848,1.4734190904292086,1.4881840264462995,1.4816367283360508,1.4164018291940668,1.356075444381757,1.4668587012881105,1.4215046809199723,1.5906238794905652,1.5028046000113218,1.5603636007702895,1.4552416750264503,1.3494818311989447,1.4293904698531097,1.2463980946471005,1.2309455665242655,1.284220121417568,1.4278566604181278,1.3506852219828527,1.516302183001829,1.5575717983614017,1.6861083047988463,1.7820966952936121,1.883056038843623,1.9322553417344248,1.7635890472957683,1.6662522152498005,1.558768498625929,1.5518047567476376,1.3956964495783533,1.24461360226274,1.4843503750701437,1.5812669370112622,1.40551845871482,1.4143919091947719,1.494416733896056,1.5473686408709593,1.4276314055247445,1.5969364690719001,1.570159418851125,1.7625226247600254,1.742396580402954,1.759755776136631,1.9031224237869078,1.867241897032355,1.935237400609059,2.2360583270242786,2.2721760440806933,2.074723885075551,1.9967484036171839,2.0044504531873466,1.8019460204692952,1.7723363109428132,1.6566224887913144,1.5657069593802668,1.4023122253153235,1.3396601007244437,1.2447610568229919,1.3277875414216316,1.4406044360841932,1.4108414779819516,1.319820030375013,1.3710362922312536,1.370882198226965,1.5124472736893604,1.5119308100646849,1.7127837761734557,1.8006991373686265,1.9210316361005404,1.8915688074729295,1.9582882797348153,2.103823288682055,2.0094116230454806,2.1932226591634425,2.163742382425827,2.1011905732728393,1.9627102318557013,1.9653954195491554,1.8819630849122695,1.851641128609883,1.8078034780669547,1.640296041169374,1.6825749128068181,1.6694359830366086,1.7884657623295475,1.721918810655482,1.954328959977855,1.608225891879358,1.6321125742865075,1.7161399012209122,1.8633180616615932,2.016277150297437,2.1735028258584554,2.0338935847015045,2.5731335811026543,2.2134122574147117,2.022596780179601,2.025395965223815,1.9955302783582192,1.856192740954767,1.984393588948174,2.1120489106712803,1.646866795444821,1.3990158914296538,1.2335175639022466,1.239981410805496,1.0586742592379688,1.0175207650377576,1.0104949080697676,1.0470776306338205,1.072008633461429,1.06573121551755,1.33024163893022,1.4128216902639943,1.2541482889334412,1.4261166531439773,1.688933712446558,1.6689245239207755,1.579847247470222,1.9127806356997497,1.999775366870711,2.028541820196025,1.977606242382921,2.1471691694616672,1.7862079041396663,1.7614222222924254,1.6371993297523906,1.8338312786196376,1.6960669440397658,1.4334639726511968,1.266690450707669,1.1190528478895592,1.0895948373028235,1.2120669752719888,1.1461535976226562,1.1489532874465065,1.1802843740362456,1.2512984245737635,1.1964711078878278,1.2067194475730183,1.621121342374669,1.5657699257575812,1.3187275642681149,1.6926812202345158,1.1783675690382989,1.2480099798160007,1.315422533195317,1.1061656106287296,1.2593483710098563,1.1016234330294348,1.2993842822997717,1.1977687630146954,1.1379837025200317,1.1229447548154454,1.1751806894650088,1.0108997071084906,1.0334213668626666,1.0585453947894738,1.1324299839212453,1.206628233450008,1.214930464540539,1.4127499723795003,1.4235182577458725,1.3702777504774157,1.3734962350495956,1.265218502205659,1.112998058105945,1.139120737673318,1.3351026678237323,1.3161126076763552,1.142171771348295,1.3246931439672467,1.4727483899635867,1.261811393399664,1.3503967443217444,1.672088474420739,1.6428329134797552,1.3705439965679136,1.5554995206518465,1.9376106898071288,1.9739217240751235,2.100126229047074,2.5225796378351246,2.7298400550668753,2.5307169608677564,2.474499979718664,1.986999806404198,1.8691593311913661,2.30395460427545,2.1693713744322976,2.4333789636970122,1.8590003968607192,1.2954923570387862,1.081961205823068,1.1504542123362704,1.210253024268725,1.1490923582354453,1.2383168197903611,1.251674683174787,1.3012435847209716,1.236954653377424,1.3567525616891225,1.2806258044495464,1.1292010401916854,1.128718610332476,1.1644918929612136,1.2379316657661115,2.447137882946139,2.6641212024589445,3.4921453776072253],[1.803026203500008,1.4186312568139872,1.3218748760010535,0.8279060354263524,1.1652082276138633,1.1035486643121113,1.2210597946613917,1.240180491248385,1.2154469560106211,1.2795194501876879,1.2688959431985507,1.3093247164199202,1.4326931222400487,1.3368286106491145,1.4409411889994972,1.5062925238490206,1.5286837922033574,1.572955492005534,1.6488394710027818,1.685861293890369,1.7296015960438518,1.784620806912889,1.974364470955539,1.9654999263188024,2.046117451787871,1.800963322117082,1.7718356075742354,1.6772942407499616,1.6267920125567927,1.598204267220416,1.5330853604717138,1.5421922427513837,1.525788638890203,1.5781105460630827,1.6288891197773636,1.6637233805700782,1.6850232737670523,1.7559922039066613,1.7291427707403404,1.8276761235483683,1.848280306922514,1.8142631199800572,1.8807105368375043,2.08205348414879,2.576360422528187,2.7387701924540737,3.242978239699527,2.4477608736738676,3.3056555944040316,3.7996007304694537,2.6133085756691252,2.5791341057052795,2.1931825077326037,1.931514043474432,2.0241338957203836,2.1382358973181153,1.8796859182909016,1.750921248110197,1.66499283800299,1.718872983864516,1.6474405133359147,1.7799468424517806,1.7571417663822073,1.731748717658773,1.826914409464825,1.7965392783189822,1.6683130333723362,1.6100563017907452,1.578133474948514,1.4935483176113833,1.5039577500597066,1.5393129950493085,1.4956500074379562,1.6499298133201243,1.600211236207765,1.5944484845080917,1.6743526653466052,1.6796993990167344,1.724510434487788,1.8355510272105209,1.7572631435586041,1.8556690346483677,1.8238335688657858,1.8996168283693435,1.8820313238437931,1.7403731796099033,1.7470277946376827,1.7732067735808639,1.7169191098865915,1.6489681385738821,1.632331988630711,1.597728874032165,1.5341680769484236,1.5057693576351958,1.4755641847998568,1.422233203881397,1.4337275392465432,1.4325738983433505,1.4006352199799113,1.385462606672168,1.4497676529799075,1.4458957295182178,1.5625882714750121,1.531403652814777,1.597981457879605,1.511402454571159,1.4189412107059602,1.5191337017224833,1.3580939482278294,1.308755638901691,1.348945234674967,1.4744151306786277,1.3904494151393731,1.5110271122661503,1.4912780616040884,1.5960924582821092,1.6211890875451163,1.6459366015048482,1.6676915927434368,1.5689139590081045,1.497518449798785,1.4462834412344256,1.4514630309414103,1.362330783572694,1.275874782305548,1.5097232543463819,1.6449740329172373,1.4728494846218183,1.4810869712218804,1.5248180257542843,1.5985449002800005,1.505623956618949,1.6074370315208546,1.5873274535562583,1.7087023826480672,1.6806383537064302,1.6860056294175876,1.775223383141209,1.7319746175964137,1.763775787962034,1.9434769384491455,1.9474447392044154,1.792789142759348,1.775267852839203,1.7847713785188979,1.6600455121747275,1.6562173231878785,1.5842946473086834,1.5435260953848533,1.4234044571785913,1.3905552056935786,1.2923975233852003,1.3932804797185332,1.4662818040822758,1.4614031967479957,1.3602832132012819,1.3949388069366226,1.402633998578891,1.5013725056963634,1.5292461226828264,1.6518888189556429,1.6866450542309441,1.747240620213706,1.7258306101828855,1.7587327707787899,1.8092497133431316,1.8104886583158235,2.0148664845883295,2.0373623072780545,1.8960846894699706,1.7905407802651152,1.773975844990255,1.741711993510773,1.7458948298862944,1.7223148533394175,1.609131690021395,1.6169508311478893,1.62535534078267,1.711520114157828,1.6695968785880695,1.8639460660306924,1.6043993128518912,1.6012456695944712,1.6522363936836177,1.760739653582468,1.8505011424382114,1.965535028880343,1.837780945044896,2.3119423031274873,1.9902892001952799,1.8490538210559126,1.8576021255863204,1.8847437555692201,1.8008643558781297,1.9349727754087418,2.1170043640508855,1.666038164353473,1.5076533346958423,1.392472499931751,1.3560891827670711,1.067637846920769,1.0047425541660464,1.0220478771913535,0.8627410809295702,0.8452193085306211,0.8552783618858851,0.9508332403098748,1.0124009890049668,0.9513837614823768,1.1435799522276502,1.355570337485944,1.3403342167439063,1.340580188519726,1.7044873825679165,1.757853264868805,1.7544542622876111,1.604833564603796,1.6340876906499644,1.2759074895710976,1.276567454712592,1.1435826620070937,1.3865357869377657,1.258830553506234,1.1288303951179965,1.0123072055498803,0.9868121598311916,1.014953935772508,1.1786300688048814,1.0627743576810726,1.0652543506915286,1.218265560255214,1.286739220701682,1.1885892262283873,1.2886151906505936,1.691297770506967,1.7175026294302396,1.4132268859827333,1.8344722488022829,1.2664949723703,1.3371059663903364,1.387894556031848,1.1014430202483434,1.285142898023725,1.0792544146654646,1.3007091040278131,1.2064560846192833,1.028506703360444,1.0517567149912472,1.1215507456855114,0.867649892519573,0.8577174870638958,0.9085374675684109,0.9242912655823866,0.9552162158757446,0.9917813812143054,1.218827680931445,1.1252847176279892,1.0501865559072605,1.0112133667583063,0.929155246689379,0.8736920833794228,0.8987763839244494,0.9500427517609914,0.93142336193753,0.8704836267036005,0.9257062301764645,0.9930915515359309,0.8929682690411408,1.0450603819393471,1.1910691459385379,1.0868413207967864,1.1030743419552065,1.1977686171155721,1.443475009972131,1.3790154787965014,1.4350301529220861,1.9650062781816664,2.2422047635306153,2.009671948484691,2.0576170023821745,1.5065304468568448,1.5481865457012582,2.0328252709142176,1.6941652559459313,1.8102133729029943,1.0270427056798428,0.81059890607983,0.9194163173966466,1.2639914933515168,1.286748831321081,1.0254425231280258,1.1913148902254023,1.148644958059736,1.3036377583384433,1.2240207000822927,1.2668142718730775,1.2504599993884253,1.1440886088509385,0.9887125803517031,1.052965002477419,1.152895500466737,2.259084704894689,2.3791675313031195,3.1818280323723918],[1.533874898889976,1.1577679818190487,0.915254629225145,0.6029529512068562,0.826851101008946,0.8222886009752455,0.8466988480441644,0.856146467404922,0.8498478078879109,0.8032252579767567,0.7999811053564243,0.8520969272855266,0.879009530735355,0.8387066577882065,0.9488981631077585,0.9305414885772816,0.9223568894706441,0.9384208942074244,1.0484649967463449,0.9767550252445517,1.0123573493088263,1.0595366013089407,1.233454602456504,1.2168773108177235,1.2972546721996612,1.0932142118337356,1.054581586023203,0.9895459054592696,0.9730244642742669,0.9607204295697322,0.9582697225740394,0.9564290252601507,0.9482792163605097,0.9885477165291883,1.0076576018806067,1.021529940537107,1.025087754476026,1.1080308419523242,1.0424707759762195,1.132781129341434,1.1369342682581385,1.0974649142173771,1.137291368387263,1.2888434992005695,1.9593226089166402,2.139211299839249,2.7826431516134478,1.786951073368635,2.76316407943052,3.305238597802717,2.0659868849649174,2.0860573556107394,1.5646589880169182,1.3381298611992958,1.618961223238397,1.4536426794859918,1.1452371321947816,1.6831978769683515,1.3143520749463817,1.3674811452410451,1.0476534898528573,1.0693431877965536,1.0326175296451172,1.04224386513663,1.0857062189562603,1.0838974694424675,0.9897597856610001,0.961087322537803,1.0497048550730996,0.9722159955743804,1.04364836398936,1.202761820820972,0.9632985242074541,1.1688074770446921,0.9946157928681192,1.1155695167974475,1.026977920351432,1.0252867777470016,1.0554079740998283,1.1680055129413887,1.073479351241548,1.2172020476153866,1.1784579064359506,1.2197778170644773,1.2011073806102743,1.0481908143523844,1.058624542176356,1.0848757712069261,1.0506018389258491,1.0126634528964933,1.0363583341765008,1.0492715665103958,0.9967068529395031,0.9540212917098824,0.9408605697446863,0.9405495570135058,0.9742760752596452,0.9277854768811375,0.9025657400047432,0.9729873087417736,0.9226828529690918,0.9682497360996856,0.9884950107374746,0.9982447238033629,1.1347630172337586,0.9855848704404208,1.0038396999726211,1.1582518108109296,0.9700914074585129,0.8882194927297948,0.9300723398126876,0.9272563117286866,0.8771595250051712,0.9152393492098639,0.8767994221327432,0.9488441294545792,0.9609477370869615,0.9705298901916171,1.0374280175824522,0.9414218426546128,0.932367536326787,0.8924964859439343,0.8957562157196501,0.826605046212908,0.7962469296063732,0.9191708491986721,1.1456150535018779,0.9047950017092103,0.9425003227491852,0.958327270398759,1.0317371388582763,1.018693118898332,1.0375467576686996,1.0060279357584059,1.0424836099255514,1.0365319305999456,1.0191653182722813,1.1162286750024026,1.2240281212896063,1.1443538314738322,1.2183520409549964,1.310109860267357,1.0857913144471303,1.0804064515150165,1.0815730798397782,1.0239211017690146,1.0111898988576549,0.956478048871253,0.9348553525747525,0.8967377992308952,0.9425611891386466,0.8879227404411296,1.0590453631254386,1.2690621289964283,1.224451636100457,0.9332648079970284,0.9088304577388382,0.9106443977252738,0.9414592312642568,0.9710605422218739,0.9904489198221725,1.021609282090097,1.0530103566616535,1.042091704764835,1.1044985001231757,1.149479030612214,1.2671517151401426,1.6888568489014022,1.6833337940910411,1.4028886857701754,1.185763290058657,1.1038001837375016,1.0630511919831216,1.0649256987990443,1.0429958730909565,0.994961678444383,0.9926893496380912,1.037593397107632,1.0623723000052578,1.0417268313485126,1.3177737525913222,0.9944548531361901,1.0085105922371627,1.0469468700093665,1.090609193834199,1.1431456482004172,1.2621061622370406,1.2731089295942974,1.7611389115312268,1.4086778456544722,1.4451214698869903,1.3149937802620164,1.454220697268376,1.3447616811608645,1.4294625999495851,1.7295162057079767,1.1805994591124713,1.1449316923546347,1.1685323942346866,1.0700878823494757,1.0024395697881419,0.8871447482712248,0.8593503254230294,0.8875895116049847,0.8967989620348968,0.8752036446697887,0.932339482215471,1.0034789721995976,0.9770572126400362,1.125760181507525,1.2521003309814074,1.2605041623395403,1.3132959553991204,1.617281455832753,1.6635927815191025,1.6772632666670457,1.415253187078218,1.306398323508905,1.1132414422993624,1.1412643714481319,1.1400722296437245,1.3636197540072046,1.2879305296279104,1.182452721315183,1.1244588828022433,1.113025028391622,1.0649439538746557,1.2723503589829426,1.2181396964491003,1.1830868631415965,1.2402880849644544,1.3935436392257323,1.3408649938606694,1.3247108599003645,1.7144243302306652,1.8827351290787184,1.5556034263842669,1.7200548880005608,1.2334887766694989,1.0937485874553872,1.2453614914783215,1.056073626709382,1.1592908055669475,1.0056348459095696,1.138588872194079,1.0716934192847856,1.0100330377626807,0.9634010966648947,1.0077937158780206,0.8726280308665731,0.892834727450464,0.9385954688403845,0.9643812676331952,1.0037414417731043,1.0469682426894913,1.2647461789343708,1.126150376873847,1.0721287140716074,1.0282991610757504,0.9963949469663566,0.9467471064558135,1.0037648656497957,1.014938159041001,0.9830360676166798,0.9898063341710849,1.0448957250844495,1.0350244084583566,1.0282252636007,1.2337053043071189,1.2768906247636365,1.1179906032620954,1.3072091936461567,1.3822234973372176,1.426648707450588,1.2989250448066154,1.1602105380869288,1.73828743583593,1.6731177867855271,1.518977065576695,1.5231224346010692,1.1942740133005179,1.3340688470343252,1.5987338709141847,1.227733707454032,1.2314658578165532,0.8963874171185403,0.9328966785395542,0.8155481653913391,0.9922380000150001,0.8955717353220695,0.8289610447474539,0.9605105656862154,0.9702411683985005,1.0650901018797108,0.9502936786760238,1.0619642059049854,1.0468458685427784,0.8593515620190777,0.7741539581010469,0.8153478639986975,0.999211255625907,2.1728751223003675,2.1557704800899535,2.8701659425298764],[1.3285021524512832,1.1728402901425643,0.916570387546703,0.4637126694437544,0.5735240066074476,0.6668756913356582,0.6953100058708256,0.6797048519484518,0.7398641960915935,0.7069625352467312,0.7179539485092109,0.7251550393810735,0.7472591041641297,0.7470637069955346,0.8367834698710318,0.7830087162722805,0.7584554751101069,0.7688966762501823,0.8678456355005022,0.7618389728790539,0.7989395773018604,0.8030464883105284,1.0140046545261279,1.0301795548868458,1.0781082754524727,0.8945559179068456,0.8169453893190113,0.7907520254669655,0.7788381250194227,0.7657332923707827,0.7981794588307402,0.7660782984876486,0.7803376309267581,0.8057005165254516,0.7899558217254123,0.794040170278187,0.768637347239174,0.8466649091863769,0.7490435699640395,0.7828260785538361,0.8111982239947184,0.8397300528686564,0.8511316766841353,1.0534549764452188,1.7449868489450446,2.022367550957496,2.543628945580969,1.498934624079049,2.679177979529642,3.0535454689968873,1.7441269843580305,2.02746021824515,1.2770391100053222,1.042886475676148,1.5181558239545787,1.1543627665869158,0.8836622596370168,1.666290631449712,1.1380130974229583,1.2113852855184828,0.8495934542571352,0.8153826532428551,0.7959129997086799,0.8283059651515023,0.8283262037608238,0.8460294075299895,0.8244661890128948,0.7919807248704008,0.9148308863252613,0.8735021347114148,0.9860188852821432,1.1704196314683606,0.9083711708460623,1.0266207804105107,0.8507894214163616,1.014668941309294,0.813889090619338,0.8103675592725589,0.8101456484532801,0.8823014021335874,0.7791447838770554,0.9152981725823308,0.9799498521486008,0.8606534518817193,0.9010739796222863,0.7511942962243797,0.7709652836924287,0.8217227317789206,0.8044285180048499,0.8101277754172079,0.8450209435852769,0.9004944290658868,0.8652177781460328,0.8092619776605887,0.8100446548325511,0.8414404793748246,0.8818445201008439,0.7956277793403438,0.7605125004405702,0.8313920388397593,0.7275231125466197,0.7696076926986702,0.7295080239533934,0.6911950833378195,0.8046654107653811,0.6597908707417993,0.6721820782711854,0.8497017615257036,0.6336457013129188,0.5881310884623174,0.6083774770414038,0.6399690909054185,0.6541114673119018,0.7089286109107487,0.7104469892787275,0.8272518274540711,0.8189728096269453,0.8099802740910486,0.8826545551307124,0.8085040050538744,0.8354510502995276,0.7974773743884228,0.8240580849619249,0.7325577696141062,0.6894324540166782,0.7131538009637359,0.8467589545225123,0.5864645893666734,0.5617007873551796,0.592960409781031,0.5937147939458682,0.5994313528170057,0.6184071709220763,0.6094544105723928,0.6105605125404977,0.6763772315609369,0.6596238183977922,0.7203985857176202,0.8695651611389553,0.8269959498169146,0.9952614361529929,1.0279624161497194,0.835145939429232,0.8081332340053562,0.7839355926751913,0.7851271094538081,0.7719425037628502,0.7222655894671057,0.6855899186895106,0.6959526231824857,0.7222545524721381,0.6907367903928219,0.8154259325673073,1.2317594715847335,1.1893295219922584,0.7546754769428787,0.7359922038389877,0.6651260506655655,0.7285010774330135,0.6964119061864534,0.6611397540081878,0.7275846714712302,0.7183014135466265,0.7011113537655121,0.7173921772485122,0.7801540963942333,0.9035421567875894,1.3668464549071628,1.4383391372559133,1.1804193554002875,0.8645848114904027,0.7205820879824753,0.6819418125000131,0.7067653175806435,0.7027170791903894,0.6589447590791364,0.7309751370619931,0.7432516365731334,0.7284183002555281,0.6935181775941918,1.0452101698644516,0.6237187676415301,0.6541432267081271,0.6857850384878108,0.709857349843286,0.7886937048854562,0.918551304132471,0.9952003275125276,1.6287509785253846,1.2187553888781901,1.2834509933074332,1.1063833597378627,1.1783099132211399,1.0712228468940153,0.978685768936965,1.3098965163467158,0.7786302412400886,0.7533066489379833,0.8063083846738958,0.7107679477844213,0.6590476440489287,0.6060996066325468,0.5852373663860254,0.6697839363330582,0.7228687853519352,0.87028016617183,0.9384526186788733,0.9551055547148992,0.9982084567955596,1.2154708637924534,1.2978164126632792,1.311977319874676,1.4407722645035017,1.673723169583871,1.6909150590690576,1.6860406142826132,1.4133617102652771,1.2362443907257252,1.0482747931454304,1.1130739192491175,0.9877363150457372,1.2557822784366999,1.0803627039339372,1.1805532675893973,0.9464466676646133,0.8504860237792313,0.7973152638944317,0.8575061116598739,0.8492298200099725,0.8495146025563215,0.8121602144990643,0.97105248942196,0.9956518278975577,0.8969880957728176,1.2919630934503659,1.479877062989959,1.2265831135876006,1.38127561490661,0.863760528269255,0.6856019674563506,0.8033167047260522,0.7051145801502461,0.8289100341840214,0.7439300660835239,0.9043502076371356,0.7851401188301125,0.7688332294716503,0.7797161293000108,0.8369167531164458,0.7977831834106389,0.896606186944423,1.0130177567693424,1.0457587155930244,1.056213019598895,1.1644046492065714,1.4322431973414156,1.2325211946545542,1.1435071807770283,1.0399637019928016,0.9501333750230482,0.8607003769337825,0.8019855983348105,0.9018291016714123,0.8833522770093467,0.7694842597502025,0.8308590534268258,0.8686909013514593,0.7986828436019353,0.9504762740213163,1.0516928952931421,0.958662877598265,1.0346041410054976,1.0984619578875015,1.2771725350487007,1.161247424428695,1.1037200247831187,1.5570264322859055,1.5945622922047942,1.3542530935137715,1.3893213552480568,1.1641252153775872,1.346786025552581,1.500041131975889,1.156564756018244,1.2007170348736689,0.9913683372468642,0.8667668029783501,0.6198576089413973,0.6401396224717741,0.5950300610844302,0.5931763205145323,0.6623468829905018,0.6987976257473153,0.8668536916933866,0.7001849189906764,0.7982304095008151,0.7999076348098249,0.6717254865615195,0.7724441983881186,0.7738119543645708,0.8905416806370046,2.1195416117699164,2.024456601125502,2.6875536720236735],[1.1810304575082888,1.056290432271045,0.7109660355646663,0.45024017342493017,0.633068825527654,0.6213862010713762,0.5518051911486815,0.5711577679834794,0.5825151100629483,0.47145465591423985,0.4756124718536143,0.5448603349602933,0.48963839016445904,0.4525840047140837,0.5754629158362586,0.4879433866256977,0.44768992438687255,0.4288636667609609,0.5429498210087661,0.4681299088287571,0.5251911073881347,0.5907159982529954,0.776375368418766,0.8269887234005754,0.8635664007743464,0.6260284771349476,0.5086262007591593,0.4536471166499522,0.46601880348520874,0.4700791912312833,0.5010640814803984,0.4750204301407633,0.5195362730767056,0.50884710050122,0.48870512840485014,0.4824408431753919,0.49052412288885316,0.5529155148125492,0.4892695250993751,0.5827088417134295,0.5753864265204711,0.5666773820681005,0.5770381766754249,0.8771112902756452,1.4656998341709795,1.8924449087387238,2.3297975961237407,1.3220262430704897,2.6958310743636944,3.0381264719217587,1.7244262667687666,2.1039547844346944,1.1177054053699844,0.852360527282466,1.3778866409557937,0.9870126168875577,0.7117172903458786,1.6454559274972842,1.0231000468074736,1.2131042701722639,0.7882728182614719,0.6434522832293099,0.5646056342858112,0.611250211217623,0.6117853420228939,0.5708818641550621,0.5996452162741835,0.475969999060928,0.6471760279869039,0.6189390730885311,0.7534170263962362,0.9722087368484681,0.6799425103126797,0.8052974129225106,0.5645384309627527,0.9396240331413332,0.5133021943409664,0.5016184777437968,0.5044096052013687,0.6161789434826722,0.5219987841437718,0.7132880251632685,0.8908501688687783,0.7115532702088887,0.7885155479724372,0.5242496214162312,0.5030585523735396,0.5690830990997728,0.49967589509549026,0.5289455542549357,0.5454845405166959,0.7103597690755024,0.6148815971206721,0.5252449092399183,0.5209253021353341,0.6116050830754677,0.6457909622666741,0.5482915226493706,0.5354524265437187,0.6728854444780314,0.5173227685463748,0.6428253005943877,0.5526498687719865,0.616158881686752,0.6836484610905628,0.6061980323807886,0.6386595268163596,0.7928536593888083,0.6457817177992922,0.6335912132350795,0.5965527322768015,0.5279276957870451,0.48875031039389477,0.47711109542277086,0.4461805354224581,0.5370134201842947,0.46860577901699835,0.5159923193897071,0.565652609669147,0.4415514239043612,0.46617765186766413,0.43183722450371553,0.4579979533097149,0.41962332995605073,0.4153405125944358,0.4802048429238108,0.7380021274145738,0.5295878140875311,0.5752420419325006,0.5794496243797669,0.6331762896675175,0.6531593504614102,0.6127092607396073,0.5846869407833825,0.5788210198689612,0.6173703766826468,0.6577841906378411,0.6082175346645096,0.6851305914624175,0.7085082316523712,0.7406242908024454,0.8407616255262663,0.5490594203863387,0.5245495158299459,0.5154087444296059,0.5103684017461154,0.4893925190592938,0.47599642553894506,0.4805394120167229,0.5196998584233089,0.6238781338396926,0.6112955494290799,0.8693207384287867,1.2451992847927222,1.1325251446123177,0.6106801802677131,0.5474875925598426,0.5376006111628484,0.5088373813058243,0.5537283775169154,0.4826521478552705,0.4856886812605759,0.507091356134645,0.5184788620719903,0.6379165439259927,0.7615013199151712,0.9156745554928305,1.4331537268889412,1.4918106396471693,1.2206037754473535,0.8656899268825414,0.6665071274292261,0.6063650384099878,0.5696977981924799,0.5273141711992669,0.5000663514627682,0.5306323588139951,0.5952745787478535,0.5714594203298642,0.5729647558968965,0.9161926282558106,0.5499893348073033,0.6070904145891466,0.642041238195799,0.6541191940118486,0.7085475065659084,0.7837563260376115,0.9423850460904498,1.6189177286075325,1.2295500546670524,1.291481666827383,1.1542761741940952,1.202630497920407,1.079056200403996,0.9928598474602609,1.3455100379672131,0.8175585303233758,0.8192548115028159,0.9114054217822685,0.8203294364981445,0.758519982055555,0.6800379662791012,0.6621270559203905,0.7353256390230919,0.7621905941580069,0.8553630609103859,0.857750665220996,0.8901236642512981,0.9743831662317453,1.1391054997658279,1.1774408012623596,1.2382661616036401,1.4030718835179832,1.6102676875446675,1.6117043536970932,1.5533192701263199,1.34541620993356,1.0571877036431907,0.946411028190996,1.0239654529573343,0.9660715380728039,1.2741232096854411,1.0728807140087357,1.1415920796775318,0.9339239403481291,0.8763528187342939,0.8410390837629224,0.9381189088545718,0.9544798920750861,0.9165406477515913,0.9172862918964944,1.0871905362940653,1.1014939739158705,1.021715368187844,1.3715722518671156,1.6249024526418656,1.3546321037863531,1.4705640369176902,0.9846186797165355,0.7641098279180251,0.8894581362293729,0.7709614798611063,0.8908926940037889,0.7910701525417714,0.9554721491323533,0.8547735219504412,0.8250889191350628,0.8298719204660359,0.8898444494366048,0.8369992534064092,0.9450842110773534,1.0544791051466298,1.056268029189888,1.07350055528147,1.185766477404797,1.4235411477297073,1.2147708700736906,1.1454619735841722,1.0252884327462222,0.9426983702238294,0.8653171334926489,0.8266672393964561,0.8788973031657129,0.858294213919928,0.7966439019958452,0.8515131426346335,0.8472298740459079,0.8456927834560067,1.012181863547128,1.1038746195442033,0.965257869276728,1.1441432068945085,1.1985066269156877,1.3303376601824506,1.1882344094445165,1.0484274898497206,1.5022990460494225,1.4327354937173349,1.1996752502029375,1.1772973772522228,0.9797871740134161,1.1639892753271157,1.2205713675651992,0.8954832117338732,1.086527614154369,1.0208263203751917,0.9002233083618827,0.7107218123622743,0.7742521912468873,0.7035763519229837,0.6948826086307122,0.7197239943478491,0.7740937303441703,0.8788120244692489,0.6900596125882682,0.8833357839167856,0.8869425946143594,0.6383766584015965,0.5813649057112791,0.6170413640817465,0.710688591865537,1.8156663964414699,1.5932419201872756,2.4266161704876255],[0.9598583637486106,0.9996724599524838,0.568084631188577,0.1700587778641839,0.42490180640361846,0.41806119520068036,0.3592698785828383,0.3752256126024964,0.43973909429699587,0.3334666306411843,0.34620060333133,0.41916234055984813,0.3674917834611206,0.3487037381518358,0.4732472579607824,0.37224258910762853,0.38118770033946514,0.3385095441731376,0.41817313623348235,0.3901688147445489,0.45588829474244313,0.5384497466116439,0.7072578829365839,0.7576176378544862,0.796389200405764,0.5431933785359241,0.3985646139586686,0.34574695392408256,0.37534242588680855,0.35075653049527655,0.4054828011344346,0.36626797695840446,0.4135100354685616,0.4010310149240472,0.3805711772327769,0.3761018787451218,0.3729148002779723,0.4482588340013945,0.4110385998509014,0.46795767810274286,0.47177967219801314,0.4735619313756639,0.4646579091454079,0.8568484907945486,1.3159825249060537,1.8478662692084682,2.1628822040823943,1.1935401148751976,2.7353041057457252,2.9750386012972156,1.6235036154254066,2.193436729736029,1.0022473659218585,0.7192144386848935,1.3587363653967819,0.9138385643060482,0.7506878477168816,1.6385518556395866,0.9852387675759868,1.1673799032851246,0.7758253197996964,0.6093950408777469,0.516877630170684,0.5333031479833696,0.5482772828492886,0.49071755593123406,0.5741050580268056,0.3930477328014231,0.5628142884797377,0.5541881986594445,0.6883691002530122,0.9249187945161751,0.638231866816186,0.7172785965630163,0.5042270948073646,0.924040443350987,0.42598824367826216,0.40535807436229354,0.41071531670420325,0.5258891120161845,0.4255235070975825,0.6043385717395947,0.8916639819590179,0.594288389314426,0.7166585132962483,0.4316219524446659,0.402032194465197,0.4539886190152155,0.3928763575200105,0.4429965137635722,0.4391481392302287,0.6643070171478446,0.5324845952189238,0.4176576776721552,0.4115429218674364,0.5138996028964538,0.5520788222010439,0.42685373212373284,0.39348753348507004,0.5427472070078764,0.39672496254234124,0.5249779778946048,0.400172056449355,0.4770651621451307,0.5960154776274522,0.5128543328438253,0.5306295785511658,0.6935849157972489,0.5341113075302572,0.5726331661481969,0.43143221719114416,0.4003664278366389,0.3417898629056939,0.3507564099476569,0.36234351907162116,0.4273995074361133,0.3713374314935443,0.4689399619513334,0.4575583355318107,0.3340865447754467,0.35875916007238984,0.34364219438757687,0.34586174530535324,0.31428749439321635,0.30155657178344353,0.359794757118116,0.46055021915165933,0.44297925536197297,0.5119104162885127,0.5583271525620802,0.5461699907413321,0.5622233103061605,0.5973302344331762,0.574002493419205,0.5961977527380954,0.6655337444867491,0.8002405410259167,0.6474632429229281,0.6364471996289908,0.6774527358811325,0.6379229252177763,0.7159467018287551,0.4549662577334749,0.43257122733914405,0.431048351478563,0.44515108565062733,0.42486069741422217,0.400413898169213,0.35147034890981016,0.3799288040017932,0.4598498752960589,0.44683785243215557,0.7274913178649274,1.1770364049478603,1.071126768286336,0.43295928448502624,0.3819142484955562,0.38828989494414395,0.35404065863113204,0.4198863494247939,0.4175248803650963,0.39784976091002944,0.4647503874615849,0.4771977194199753,0.649294069126843,0.766679972261637,0.9145182766862268,1.3691933445056823,1.4955690662419634,1.283202959688158,0.9284246419412747,0.7130494500643579,0.6315248255725593,0.5171841797945059,0.440883741811032,0.4248195760033068,0.4205736606129321,0.5005040611572661,0.4978582777525156,0.5233969359078823,0.822484732082065,0.5437680796779193,0.6136612645544477,0.6264202389767005,0.6286694075743949,0.641563863247623,0.6600146380328157,0.8607812632959401,1.6225738299235768,1.2266592276676462,1.2734951519599111,1.231283111893315,1.2394857878607775,1.137383950115019,0.9036532027970174,1.1700384335874319,0.7278474601428433,0.68892726794989,0.7861361283795588,0.7037003000307716,0.6726538745460816,0.6578504997904903,0.6264651481732589,0.68234175362967,0.7443377614493389,0.9169051186200342,0.8527815331895426,0.8561083856083218,1.0041303490631825,1.150460649315509,1.1357656486926264,1.2030690400211326,1.4118714458564587,1.4974394600932153,1.48084646571454,1.446947883284,1.2295056855175308,0.9599354931768302,0.8683864459892915,0.9641207030209485,0.8795271229202521,1.2295695947174925,0.973921523915762,1.2306226421086037,0.92217651094306,0.8345176027954744,0.8063435552047545,0.7977530354348588,0.8206555911194418,0.794313991736395,0.7646734685930447,0.8868990260994126,0.9517135554532461,0.8266026818485219,1.1596788562867244,1.3967932508697212,1.194453937706636,1.3089654358929597,0.8427028015845197,0.6505481301203121,0.755594322455585,0.7184464057687252,0.8763182865466029,0.8339962987837554,0.9982190464769538,0.8625740402617502,0.8507011035292125,0.8927884685930362,0.9214945755202189,0.915123367823819,1.0440759631395793,1.168802046920921,1.1401650356054327,1.1303974509284858,1.269522508672183,1.5061768492039966,1.245874343911441,1.1757411620326,1.0365701038745863,0.9633596595221505,0.9060129435149232,0.8250265744698934,0.8604686262760596,0.8356667256681374,0.7577111241523103,0.7765174656110903,0.7933547983802027,0.7619926057774186,0.8670989970455342,0.9781524243650175,0.8742863149269524,1.0044720035890666,1.0144406784006281,1.189302159009152,1.0644165378977333,0.986865092042056,1.3733847960133836,1.4187968059047944,1.1245418708737318,1.0985044603820395,0.9170124776035589,1.0569493041575888,1.1121164335768619,0.8700102205688035,1.0823337399988433,1.069861702224727,0.8839336427658844,0.6915103815163962,0.6760905359258378,0.7230649753717467,0.49495845587859527,0.49016166551482576,0.5162455516923764,0.6712533076078178,0.44120200421512573,0.5993942064757051,0.6213281714871882,0.4190712306358895,0.5824696413122789,0.5569220492660204,0.6718746960706511,1.8755662447885117,1.6460677103801198,2.3726202599931723],[1.1194074562740028,1.1514950783066686,1.0743611964420423,0.814626204500451,0.9294326251371229,0.8642476374732586,0.9660480694440019,0.9656513753828818,0.9270633957412259,0.9352762883431766,0.9170726959631174,0.9570316017702174,0.9599587034273466,0.9083783600113469,0.9844189070586543,0.9719908612922951,0.9710408425618466,0.9195694859506871,0.8791785654020885,0.9000579118595031,0.8672377346263069,0.9140276170270467,0.9000397598729085,0.9368279886858376,0.9365456741905334,0.8099290803283458,0.8605831911085935,0.9113309292806338,0.9869978783386084,0.9995019251992572,0.9890264284413575,1.0374054550075005,1.016616652793013,1.0299015458254261,1.0478121523172648,1.014764381888046,1.0084567217903695,1.0341714246079619,1.016846121982272,1.0403014835732671,0.9461104706464946,0.8945444338068163,0.8132768470824737,0.8763537804023065,1.2653823047601458,1.7392380401531238,2.1191404355955576,1.1625162900246868,2.5902148410056354,2.835052959540412,1.647131247285765,2.194132026619988,1.0160150203136775,1.145225160808047,1.6725658823322291,0.9053548948738376,0.9850041374295674,2.4219212719238263,1.6474921141939822,1.7230386419990977,1.346729478966523,1.07080522374892,1.0065492238810445,1.0021155201827123,1.001196566329834,0.9600488147552436,0.9691223991430267,0.9258665284815389,0.9492721384290677,0.97519907954545,0.9955915603392765,1.1601522433687603,0.9572508680446385,1.0694131475132846,0.9599336659775248,1.3595208818096338,0.9802317899324003,0.9782435221620338,1.0079424303741282,1.0072644888631044,1.0317079817644685,1.1667048055644913,1.2602616435125946,1.0034784743785912,1.114037252725461,1.0393429213062821,1.0211971354281388,1.002917559331614,0.9859453456307652,1.0277503924560625,1.0242666844375474,1.1488221537636734,1.0507878487553528,0.9771988756213185,0.975920785568021,0.9893220144653129,1.0045385539958882,1.00482455736237,0.970444859646204,1.054169312260133,1.0537264750235171,1.1059574206566312,1.0686951892246894,1.03061352520702,1.3360256342917542,1.0816310332668844,1.122035623876449,1.273254720661857,1.0223612499635297,1.0577918112904499,1.0200563900359512,1.0855424488788301,1.0675611997332526,1.0656295876029955,0.996869137134919,0.8533496977311774,0.8285258902776488,0.8416537936392823,0.8495288292080262,0.8213365172053032,0.79600835889181,0.8047928364921888,0.7761774784485338,0.9745891042174267,1.0674854249583263,1.0414362415317384,0.912837837403952,1.0450017696804308,0.9719290875480817,1.065701744506714,0.822691742584277,0.8583639353371955,1.0009219653650796,1.0302656765725489,1.0246542405526025,1.1939287582696883,1.1092069517381273,1.017942861096703,1.1136385885398008,1.3954533773434623,0.8371662237529053,0.8794656036186963,0.8274768052609938,0.9590722530344548,0.9872483750371019,1.1130258763206222,1.1057925978054093,1.0949829753930225,1.066834376971273,1.011166691485487,1.0426581444420298,0.9782401514792655,0.985026861896368,1.4120897721556034,1.409356875731872,1.0052710598957284,1.017697573689067,1.0448364768719767,1.0595102101665197,1.0558771119433885,1.103875508890797,1.0905868463703274,1.0923492551049099,1.0981060356938062,1.147578397822995,1.0954645332750002,1.3285417914332363,1.6424668815171937,1.6874789531720935,1.5260614919243567,1.2654726893952546,1.1923718647695791,1.1793730431846188,1.0918473919244358,1.0562422601535555,1.1339999224107005,1.0802875461891694,1.1105835855494979,1.0969000313549835,1.1108920690695523,1.22229287633829,1.1817305248684724,1.1753789476354595,1.119910231350782,1.1303144162730736,1.099202007442647,1.0805195816278381,1.2960576168197695,1.6927721853009925,1.4843170764351723,1.6463236375889474,1.7289759273868015,1.6298093584752056,1.5168817102891419,1.135657316926866,1.2738220841589556,0.8285843080671352,0.8072170464179242,0.7983308638147186,0.8041165019983467,0.812423064455842,0.9590573961190156,0.9661774491018497,0.8994173978049635,1.0059083127538662,1.3028952432331369,1.1754345048190624,1.1327797692889277,1.3267437593199833,1.5229573897799282,1.4530627754439323,1.493708803306694,1.7598857135500041,1.8109665484078687,1.7417576233263474,1.673360002917483,1.4294317781394066,1.1228806462845666,1.052123487391381,1.1456532010659126,0.9726904902289223,1.2311852861199215,1.0817347462127629,1.2829494534032373,1.0589875948505627,0.9625606822125007,0.964891909220484,0.880606553783531,0.8504710248702037,0.8902418143557114,0.8061190357765763,0.918751389475249,0.9610166321452199,0.8291158988795138,1.2263195783402978,1.3682689842228737,1.134541499990731,1.2622323490518363,0.8163323771987178,0.8234086661770152,0.843509276775072,0.9152533481650554,1.0467698776511996,1.0773615674459873,1.225004087720695,1.0740162178500872,1.0995357007797677,1.230785273030945,1.2789035853171535,1.2731595448560133,1.424672765946446,1.5790464792594638,1.5328126295714222,1.4654141209651674,1.6322762026658595,1.8862379334807517,1.5729158344474305,1.4612171935162066,1.2900918237333088,1.209492860134425,1.1761498149076,1.0129003194694262,1.0438043179859837,1.0598194242558419,0.9292877969562284,0.8817378423648083,0.9068802761706255,0.8504418581320311,0.9256003737793841,1.002873275442911,0.9225352848479528,0.9711857932904319,1.0676993912917547,1.2328243966301273,1.1191106308032461,1.0458511817512108,1.5340234755749165,1.5019927042342829,1.2181872566157779,1.2407506783938953,1.151451557900427,1.4125503700911606,1.3629320534642784,1.1008139751262012,1.1203356801636142,1.0075242219970961,0.9664438088696673,0.9218153829487279,0.7883109795506912,0.9700629001040294,0.8216245970868542,0.9049094142880789,0.8672104346753693,0.8849908059887894,0.9040706879398793,0.7515930932207618,0.7921167866551598,0.8937392912434194,1.2196362395684397,1.0685095983604909,1.170374017495055,2.6486029009273313,2.548084197100986,3.053668331277725],[0.8557995124824007,0.9979391443127703,0.7080256609744039,0.3857085883705321,0.4099751739977632,0.37155264549796785,0.3669264297516774,0.37264517252999346,0.43468775093663925,0.39471845511237996,0.4180180629938714,0.4390917449741717,0.39776503999924967,0.4144473063964582,0.6160780324199711,0.4371414525503233,0.3980623606083468,0.42684243774532293,0.5286398714218332,0.4651879884910765,0.5644206938883642,0.6071798541074263,0.7861383458735982,0.850121646182434,0.8219471301701612,0.6332541449075566,0.4986778325729601,0.41951562216428556,0.41377337524357394,0.41635986652585366,0.49747673695064637,0.41634323499104453,0.48313554139605336,0.5011253005227416,0.46413711799288376,0.4666501976523703,0.3963366031452942,0.5091977937806773,0.42890755845493983,0.5117291174743961,0.4959981751392007,0.5496204855481555,0.5688833068859362,0.8111237028807646,1.3575924608526386,1.8782553257142647,2.14312891237942,1.225903529311714,2.460479760127916,2.592704750132087,1.4285282398829797,2.156274907452973,1.1362361095923446,0.854765433101616,1.3789948922436999,0.9780465616521419,0.6384995039078851,2.0174957817167685,1.1550538044912175,1.3817620030769255,0.9467173283509283,0.6907026376446375,0.5920029690795824,0.6724098671306552,0.6502401601280408,0.5835376814946152,0.6759324968649966,0.5135818751445127,0.6603752582162717,0.6613985005628994,0.764976217776699,1.0021976094891494,0.6963331303920836,0.8318179022198906,0.5956868178080065,1.0594553021080295,0.5405612172063151,0.5189951952488159,0.5080615525652183,0.6121068035274461,0.44638216345089815,0.710867503100442,0.8550291852267774,0.6102605303714028,0.7565645448300903,0.4513731422746961,0.461941608450778,0.4730109679685144,0.4771482514528291,0.5095248487093423,0.568696196825316,0.8006510648520188,0.698191581252697,0.5381881286312097,0.5129347371878371,0.6377110323278501,0.6572813232183159,0.5068094800799497,0.42819441971540406,0.5132190284082562,0.40413249108086297,0.5107210600282102,0.43187943653467903,0.4008350839617487,0.5759761262951405,0.460538067257267,0.5132652622708218,0.7573376989179688,0.5014357139848761,0.5526818338115049,0.4035009365170197,0.3963738633888882,0.36423886856728643,0.3789087203979788,0.37490384298189267,0.4859158874814683,0.41062390432958423,0.4092337509245361,0.5840072671012703,0.4226253223471089,0.49007563965614026,0.4330485450129262,0.4406200028432145,0.3703274107914523,0.3624124572532156,0.40037625191592974,0.4300431941406996,0.44247217227958513,0.41185765382568895,0.4680450001655434,0.4814617502306317,0.48943454292718597,0.5452657309943969,0.48998796297640534,0.5064922177667658,0.5690289279735801,0.6305261986596364,0.46404542216522315,0.4699597597351076,0.7753731654338548,0.5420309111812023,0.7990066025327845,0.48499812667742326,0.4247146744258476,0.4239591831677629,0.45155989812315434,0.41097525596608303,0.36006919636482426,0.3576263277112103,0.38656043978460636,0.4224866813031428,0.44289227540489495,0.6497502430663931,1.249757632407133,1.1609144070057542,0.43416603442210594,0.39744844630161424,0.36169242864726114,0.38352807344467127,0.38356189369869775,0.42039681597035516,0.3844614016261326,0.43789898454872445,0.4494654370533693,0.5913475845922596,0.6525441108657916,0.8795604606370302,1.3232551765116018,1.3632882689917043,1.1666375406693725,0.8016426076718546,0.600276954495057,0.5516328154731415,0.4606301722930574,0.3964472427909849,0.4069557579616254,0.44115142000059193,0.47672075595601043,0.4867750529413526,0.44309592375610357,0.8568107182834586,0.4734975146951559,0.5858916680756324,0.6187358958884741,0.614984251287738,0.671404736931625,0.7062172753137917,0.9330801493247448,1.5596569796446031,1.2613947078850491,1.4288703201421917,1.445654467177635,1.327619842905971,1.193717420468133,0.9318758584615496,1.2225705526437116,0.7184762207504382,0.7322299207384728,0.7883703192848865,0.6769538783656254,0.6289222852910639,0.5578422486003211,0.5322091613203781,0.6198856707332889,0.6632875386500194,0.8449342905754882,0.8437043980651927,0.8452927862072164,0.9431047790344932,1.1307123450299583,1.1604583759347267,1.210798160420241,1.4086622661752453,1.535486162584564,1.546577235240589,1.5022007011063365,1.2864570581102652,1.057238037628906,0.9061721775627464,0.9857714158116787,0.8678770915450484,1.226907389506153,0.9802895282399029,1.1272736962292673,0.8736688514373935,0.7961425957203961,0.7715172479473018,0.8333297995888154,0.798321200814889,0.8153064947574005,0.7736063589301571,0.9390096624536267,0.9758977438143,0.8662474528993045,1.30012879578225,1.4271983621936033,1.1955920492133325,1.3720001998342908,0.8453647952627518,0.6709181604886026,0.7817450992291072,0.6940896815515126,0.8246271617521782,0.7613866874818218,0.9386603491770485,0.7585456624146086,0.7482608439279668,0.8205117823807343,0.8359326442532345,0.8142547418623614,0.9509371593187138,1.101446890839431,1.0719546237431046,1.056215242110074,1.2206027826121537,1.4931454994758921,1.227416270262314,1.1381694133397553,0.9864001456303791,0.8835262202551332,0.8084484439055706,0.7489352634763049,0.7937079531650091,0.7825117888754478,0.6999629404854241,0.741080894622102,0.7622185406554602,0.7307993066956013,0.8786288496695869,0.9714695869190202,0.8750994631081196,0.9834245120645931,1.0650959000054836,1.2171775557825268,1.0997085826346993,1.0179688403317757,1.495785982304497,1.4736203787415336,1.220840741376596,1.2222693518510839,1.0178413216045952,1.140685737608767,1.2754856813781688,0.9895814804968257,1.1106010920971034,0.9711626802746,0.8429432735497565,0.6477376115156693,0.5954419910556245,0.5923331416365158,0.47508174118834107,0.4653102316881209,0.48049569140542114,0.7423117821223743,0.45856921040966403,0.5575006095114861,0.5136883645942265,0.4124326391504858,0.6243021940413801,0.4997632108425691,0.6913394216001556,1.7988156670827398,1.7060381056266731,2.4100396775642663],[0.885895994815338,0.9852484882073614,0.6204696988063817,0.3096065147220027,0.4068187058913534,0.3725792091346409,0.34950547013364314,0.3591964104160028,0.40440783178549505,0.37254199779803465,0.39870025964646194,0.42115497380705547,0.3947719265649508,0.4012537849067752,0.6334647212501262,0.4482303202330213,0.3937796423184622,0.4381554913237058,0.5415000506646318,0.5016531566076449,0.6334962667491909,0.6909743429734428,0.866080980597346,0.9214091140980479,0.8934088644965359,0.6880877635492333,0.5320852488179034,0.4294836433823335,0.4196680616060198,0.4075887145202286,0.4983992382567886,0.4151749659088492,0.49490234223177837,0.5073065287034191,0.4722139174964567,0.48113883703343424,0.42854084778106893,0.5351243222308514,0.4745995712361806,0.559696755693756,0.5286538339096023,0.5733590266748522,0.6443546676666764,0.8858142405456683,1.3940132635487736,2.006622435783738,2.179100914868822,1.3380931629144048,2.4850166098212174,2.6330132393452605,1.5547099897321448,2.2724424877032394,1.346700072012702,0.8757673782653017,1.2714813746611808,1.1245110809362253,0.703591186850126,2.0033064386947834,1.1651471598440395,1.4747207979943473,1.0109845993278446,0.7718126576383992,0.6708905506141647,0.7587138470302113,0.737631894998097,0.6568532141775579,0.7349751206566446,0.5466964135683114,0.6790811854334677,0.6753517188612971,0.7672134374224819,1.0461983605170464,0.7040338253189744,0.8721769075117761,0.6113465799722052,1.074891144809885,0.5877638171041223,0.5631011741827803,0.5553430275318006,0.6588149671493665,0.4923450290599105,0.7275857803125462,0.8874312280894204,0.7696100985193169,0.8484992117518747,0.5011192091861726,0.4826794167215318,0.5143831469796585,0.4988580381485067,0.517355141728947,0.5856548361384962,0.8311055193944962,0.7292733061495509,0.5456777508169383,0.5064871329161985,0.6283426106838765,0.6599169835049513,0.4820528969580541,0.41380269166328654,0.5031552967682583,0.39018146944393856,0.49950005041135664,0.4348068907946017,0.45323244195504936,0.5748907911942412,0.5036454708211799,0.5338354207051947,0.7632310593576231,0.5091092972417351,0.6079958950650325,0.4134065343043343,0.40070552751892197,0.35855457492453807,0.38947118169594125,0.38514397276840134,0.4930495040538148,0.4036563241022959,0.40650339051367845,0.6220387361153397,0.4160444349747052,0.46985234587613744,0.3947926889995783,0.3810818405913897,0.3567835298231851,0.34255608079269334,0.418285407817838,0.4517338863126031,0.4877150372492107,0.5111799684644649,0.5054323409807194,0.6391880656917266,0.6105950986300619,0.5661518976301031,0.5011724503218883,0.5104148415744401,0.5022545333229269,0.6320959697604979,0.5069380205916645,0.4412742944812073,0.7038174812461401,0.57475824940749,0.9105943548294769,0.5475083150232263,0.4599892692449662,0.4581404475760693,0.45728889813103374,0.4112774554896014,0.38437851637748693,0.371738644252842,0.40589140489559367,0.4042221610666475,0.4376629476289012,0.6320114725313571,1.2162708608680204,1.1555799889042662,0.42361882004275203,0.37730739718890216,0.3792191311898282,0.38233754527121433,0.4053516443639142,0.4274065168696711,0.3947098336382231,0.43777505274156453,0.4827853068267096,0.5979976752378341,0.6401634144159685,0.7985886259767878,1.2350372267091254,1.193906182683387,0.9839093210446829,0.7024709459933652,0.5209662309914189,0.5028975905827351,0.4516875495820679,0.41493851958739036,0.4149128807105963,0.4598366382187214,0.48676620032621326,0.5094489792693565,0.4364132249055507,0.8425716859788541,0.45473268179241394,0.5555754101422973,0.6092513387665095,0.5836923188416933,0.697130138093476,0.7538580364050611,0.9450564687154904,1.5956766570021792,1.301438939965167,1.400795549801933,1.4783737120514218,1.2925701131899794,1.1152659210790883,1.1538429692575207,1.5520871489128185,0.9605105910217454,0.9414099872007733,1.0162973094472645,0.8594428128056185,0.8002229473343592,0.6332665911262322,0.588839416621623,0.6813735524231094,0.6516794075792106,0.7323234085277542,0.7521500057694065,0.7681245586212321,0.8047044283353002,0.9944659648740305,1.0412634717271174,1.074297341667114,1.2637335097267361,1.4165669402200458,1.4443157491942322,1.4251885039215202,1.16313112819366,1.0028040290345623,0.8410265458714595,0.8889846066251234,0.8802764392088007,1.2184814819272192,1.0438593303155312,1.0117835070452326,0.8966692553006956,0.9308412909561175,0.9003387663129865,1.1158485651735202,1.0431411044586962,1.0424245867378892,1.0530635832463964,1.2265290100455462,1.2190525234843186,1.172375584615647,1.6223119758438302,1.7544434406976568,1.4760209383018648,1.6520579420239698,1.0865389092373234,0.8738399332485699,1.0442101059805202,0.8461415732801029,0.968536407008481,0.8415169255437196,1.0408750651662895,0.868988773094493,0.7789074469460437,0.8227353806920621,0.8174805991728032,0.7034221488325774,0.7979707696241629,0.9436431945081893,0.906829353648282,0.8933667879238791,1.0433885194670602,1.3366646031486928,1.063368602272238,0.9724454837688243,0.8471867476021099,0.7678831683100937,0.7202718378733582,0.7603008174252932,0.7427380882554327,0.7203520950719198,0.7455195574877534,0.8097367006924533,0.789842596231178,0.8376232793848799,1.0448904892979196,1.0876566209042378,0.9463424970074491,1.169617981573805,1.2575084826548593,1.2945805454058334,1.180541055818112,1.0576261549300974,1.603254469026189,1.518232663962402,1.213911026694598,1.192344727858978,0.9454672652405964,1.0322537650036265,1.2340064113524005,0.9529547494449517,1.1390364217371736,0.9957518513155703,0.8824737133389298,0.6593253050918709,0.7321116952738269,0.6458317003355549,0.49295294051082805,0.46397999574583293,0.4715158152000418,0.7709406419728966,0.46060261000152464,0.5773699841093131,0.5081805969696773,0.4030719177241009,0.6033706059074634,0.4694862715543662,0.7157864839993252,1.8252988615586365,1.7912531576078494,2.467759554055121],[0.8302497704252985,1.0018589692802755,0.6565600443208097,0.43958898228226195,0.5574635991043286,0.6931995393627283,0.901902214238965,1.02387155063011,1.068009311054307,1.2445431890779002,1.2640422024349962,1.2862188063238844,1.4178798264944832,1.3805584212662818,1.5355813169322639,1.485846012465991,1.5120947406053227,1.5448589964231247,1.5802524321543654,1.5506730746129946,1.5288072606193526,1.5311751172094987,1.6464573313060682,1.6044130664264087,1.6610767825502788,1.6043062557734762,1.5859734411053579,1.547236335939675,1.5401977746401638,1.5385327092308954,1.5252016218703024,1.4889074321866513,1.5028037163277599,1.5591416148414623,1.553826069205969,1.5686562651039013,1.5242059621406456,1.5762757189334615,1.473844620115327,1.491036042878097,1.461222122368806,1.6104962445135802,1.6649504417420151,1.7091935528917686,2.180751964776433,2.3552880949330097,2.6230787672975997,2.0025149883914586,2.39977269961299,2.2975142881456008,1.6928686923420528,2.353664261902778,2.195829657711645,1.76553315264611,2.0588779147185217,2.0391396486189457,1.5905471212875255,2.2135542964504267,1.6223657755037293,1.7633449630464841,1.5127051224942119,1.5230144675468238,1.5600042884351317,1.5491535791904913,1.4864715497490055,1.5798063012485353,1.5438535392156432,1.5432574308980356,1.5838056135155423,1.554960305504592,1.5774666942536986,1.6187131230603122,1.4960241072153009,1.617579138094378,1.540777028999662,1.624546561281724,1.5705049598106173,1.5745900449853654,1.5781765273145054,1.6663578413567854,1.5331945975680203,1.6201143204608943,1.663719819059864,1.605863109067964,1.655594675799563,1.5227748220052684,1.5352351219917735,1.5753540309240994,1.580024468751771,1.5816710255405464,1.5810237160279557,1.5977940339743966,1.5768028503319085,1.519201088776585,1.5024424811593942,1.4942234183806495,1.490709873280144,1.453160779490289,1.397059855255173,1.3616947631511322,1.3956863552057555,1.3593507937973437,1.430142257768658,1.3131747529889566,1.193852004981564,1.1853508022248032,1.1076020109252258,1.1439669077971188,0.9759864245483816,1.072931141920416,0.893455823794327,1.0441963862123849,1.0703492140921942,1.205083499612834,1.3527447874255512,1.5361293671544023,1.577498101852512,1.4269097624545197,1.5212429565604328,1.580926631541357,1.6223457312866483,1.5795324497970629,1.5584450462801114,1.2926577955958254,1.0654264390468908,1.0648027245200435,0.8610935431572236,0.9808451519180608,0.9799227266062639,1.005961162443656,1.0036746394876355,0.982640595742851,0.9103014427609923,1.033975221874442,0.9427367248255445,0.9250344085909583,0.7964427797979253,1.0219400879133282,1.0671337360385684,0.9251640844336785,1.074565689424857,1.5492064651435082,1.457579314258595,1.3570110272913476,1.3867746974923922,1.4270473579397014,1.3775714568279276,1.3425338962755942,1.2880544314277165,1.261668648097755,1.1742508012673991,1.13921679830279,1.2288180492208507,1.6661385316808406,1.6878858470242037,1.2938426007514043,1.318082078300158,1.2570015512498596,1.3796635363879959,1.2911481249274908,1.2479837595944163,1.3756267861168068,1.2384213185745871,1.3020681800695046,1.1921439948704717,1.0734766744711899,1.011526075163702,1.2095243625879615,1.094821746533277,1.0265915879750616,0.8771176974576178,0.9300277007207063,1.0663584812603066,1.2266090655652466,1.3384275415772513,1.314039297687197,1.4643546800605536,1.468094306343045,1.4564274915339246,1.3389427545167556,1.5770326130377863,1.0852159028061523,1.0474774354317948,1.0951495528267474,1.093841067499506,1.3257857308660166,1.5010752294082501,1.3725105228133991,1.734004551990915,1.3758679341156672,1.5505248574138573,1.4461211182844342,1.2499688280793808,1.101513746367543,1.195022247715713,1.5471294648305973,1.1320648660696675,1.1450385180651705,1.11722291984642,1.0951545675484147,0.88408071821412,0.763980939351032,0.7276387291376027,0.6824545671744746,0.6265503005890483,0.6739346925009976,0.7068505522162757,0.7058233611145854,0.7566919694113624,0.9358640549577449,1.0079479577370518,1.0496761549565348,1.2258860502331794,1.3982141355130318,1.4506599482379365,1.4202852522385874,1.2085076824675638,1.0223387998157882,0.8161031239577681,0.8596559091478886,0.7894935981756973,1.2304183562207387,0.9487752203611612,1.003007920950798,0.7969570894206711,0.8668357118502498,0.9007763557755124,1.112370587527827,0.9576519033795673,0.9705618532005809,1.0812188529178592,1.1736856633954862,1.110477429710229,1.1375384696132687,1.6086851724615,1.605828617648206,1.3761968341009523,1.6579491653443228,1.1019075370683178,1.0482513515899878,1.1465699844050483,0.9306797882086278,1.1197806263727306,1.003088594093885,1.2093963921485278,1.0003100917168126,0.8578850571637283,0.962177756240383,0.8940355190279508,0.6913366059111606,0.7522579010201246,0.872628296232945,0.8252276472626179,0.8243781233168391,0.9851160138132347,1.2678880837384048,1.0283210345945877,0.9509616927244284,0.8117672352554784,0.707210151702661,0.6808775799853956,0.7096313231658861,0.6612313225375952,0.6596287450315906,0.6834482418092218,0.7118249360552968,0.706811775989546,0.7580801738967047,0.9201403569349975,0.9516652546379128,0.854963565580276,1.051882082321826,1.087094786217082,1.16839729184288,1.0750498247971911,1.0010366384581406,1.484984912358835,1.5277909821075668,1.2238809233396557,1.227269702524564,0.9570211799422944,1.015172712427126,1.2726245580786935,0.9721584753451541,1.128735637767528,0.9899675717520425,0.8339971154972049,0.6998746030746158,0.8960067223029589,0.8320776843061084,0.682927849368686,0.7460500072928898,0.73406846856197,1.276268601513783,0.8182196621743755,0.7565375531209282,0.7820332313582504,0.8265284826250229,0.6454959937252651,0.7153045997840568,1.0322709079635342,1.2800307208862771,1.535766390358719,2.3341710796778976],[0.841975938238401,0.9370270754037284,0.6527590215658439,0.3914812642444351,0.4048367058831369,0.344988665730662,0.32279873238442564,0.33763760862083175,0.3877551061500004,0.32835517926950003,0.3664091896289483,0.3722807353737945,0.35402323804723157,0.37184674392227557,0.5794854097694939,0.4126195221217672,0.39576686944174194,0.4240261936227211,0.5682352317290723,0.5046386924021017,0.5653843728429656,0.6368105119790153,0.8063250036144849,0.8655964848079895,0.8696413735474214,0.6653700851115413,0.5992507380345777,0.48788771047167867,0.44450344989934143,0.4101265738392775,0.47419730061303716,0.39490012691153076,0.43736546559251194,0.4839817555198011,0.45928529428964054,0.47373608959498587,0.42736457836762143,0.5725573386313176,0.51063068900182,0.6298579030804182,0.6498604761952876,0.6781892351569483,0.7145911796557783,0.9410089103899768,1.576017874827033,1.9637200487375237,2.3294558701577754,1.3813131781403305,2.414659222700384,2.478066697059152,1.3976279588210643,2.100089751405414,1.3194916058595452,1.0004796961034481,1.4790776638623868,1.1206579053239452,0.7419846993983601,1.938260881119819,1.131236794956942,1.336212070741164,0.9089641293169313,0.6776558898700024,0.5848149493187323,0.6723348310230247,0.6614328316570369,0.6109624562127194,0.6597514881551944,0.5203408426724783,0.6536394844187968,0.6511778241576992,0.7683680258349436,1.008264032967606,0.6989643543629493,0.8334221021481152,0.5736861971787043,1.059762722530304,0.5501718112470152,0.521435255325961,0.5237929013981107,0.6623357575458426,0.49560698297514194,0.7708851746888268,0.8985415424423706,0.7403322440525287,0.8775793696380968,0.5337495075576162,0.5221412264973283,0.5104285835095356,0.5027060935100938,0.49927004641155187,0.5635287807673307,0.7958472127695798,0.6680548945854625,0.5056778240855755,0.47637399936791947,0.5934606920011903,0.6329306769547052,0.45253547303309116,0.3709499731765129,0.4598167863364665,0.3708814236586234,0.4841655341745929,0.45401949710956696,0.46178606517080967,0.5420415779851337,0.5111741507417583,0.5580966655819328,0.7998327123879052,0.5778618616757664,0.6011326771030538,0.3966207475655288,0.39333099013175543,0.34483621169685424,0.4116604798542705,0.3656543638110568,0.5468195254959479,0.46934212502528044,0.4826797892383799,0.5997764671855802,0.44679929498325804,0.47530330273804844,0.36945394163815665,0.41523007739997836,0.3403403848642351,0.30459041044199503,0.46365105114956034,0.43561697338763306,0.5070733493771191,0.5402370426524542,0.49791784128027344,0.7199633984279369,0.6822558424460063,0.627786897312512,0.5576496020095623,0.571130535167982,0.5058614709158981,0.6022497942518945,0.6190378507337305,0.6031637612463581,0.6250856603723393,0.7030737781186017,0.9304209659380875,0.6104010538825622,0.5414533121125594,0.5290674550569938,0.4815759234484298,0.44478821491951825,0.3674926737396754,0.3790079742885162,0.3746228034737819,0.3901008459062164,0.41148374409664656,0.5973031380298185,1.145977775699813,1.0968359488409674,0.39482484765072684,0.3551400159944216,0.3460646400704645,0.3834787805423786,0.4366953024300225,0.4614468746251273,0.43515006191251926,0.484236977336844,0.4801658568011052,0.6089151500845879,0.6648882775679112,0.7786114354523618,1.1469194430316814,1.1221399693905227,1.0136367860050772,0.7062815264655686,0.5370831716550908,0.5206980126379774,0.5288195658518634,0.4881467255697535,0.4349003434504055,0.4903251228311404,0.5300188378361264,0.5711453760068792,0.5003813821303508,0.9838043227278256,0.42988055119381685,0.5446571867286196,0.6500925408626006,0.6439642282211449,0.7813963272653336,0.8591420891507251,0.9513271951990746,1.554874735356994,1.1731740244283853,1.4016651206124136,1.2717401381641242,1.1502089393483206,1.051047378625685,1.014004449293726,1.3937786448463771,1.0041707673898528,1.0192815696540451,1.0577435824582857,0.9087956898524528,0.7861965717593747,0.584654300404335,0.547711799743202,0.6417451398069574,0.5871828921688803,0.6717192005772316,0.6835379442406785,0.6938648900678653,0.7546810512134041,0.9497114719142843,0.9779058164752646,1.0148769223200864,1.2331746426936685,1.344980739810245,1.358206429789994,1.3336176044681756,1.0944952335148874,0.8978165937182603,0.7584937857951204,0.7958390027091087,0.7864465788237147,1.2337182080054063,0.9754254585234796,0.960166360866686,0.7781478725495009,0.8258543307872172,0.8196685214591733,1.0422311041223427,0.9452500520258227,0.9473845703653532,1.0178535488042733,1.1844868308560943,1.1395028265630878,1.1258012332089433,1.556615660421346,1.6337119477207664,1.4326254540323138,1.6341776900529144,1.094879564703953,0.8821804940974847,1.0019179119778645,0.8046672677741682,0.9385258899298862,0.8084486561906821,0.9940639757912221,0.8179745129026568,0.736140752279856,0.7886064296379808,0.760242772784723,0.6496754427523452,0.7654241580271095,0.9202312254099627,0.8719279448602314,0.8548135385379747,1.0293491168091826,1.3297340892916685,1.035105357546417,0.9415896858414846,0.7948780121171081,0.7003345566213548,0.6476434246462902,0.6860199444679973,0.6485532142759949,0.6423426709926006,0.6689869730471646,0.72456453951459,0.7131703620484109,0.78166197325116,0.9692657271405345,0.9968197154193787,0.8804041629505146,1.1118144792409044,1.1686906834667992,1.192761137406061,1.106706241078898,1.0075358530390761,1.483746822888178,1.503055349395373,1.1109273017288612,1.1311549214810332,0.8895215859091324,0.9554649674854918,1.2094095938021638,0.9266240061941956,1.1303583191322133,1.0227858489836117,0.8527191561722786,0.6730817614708926,0.7792157053955266,0.6411974903328923,0.49106057014659493,0.4382998156722712,0.42121360177322137,0.7883685586460674,0.43247371249160843,0.4852323570588348,0.417098369045639,0.3546718676952907,0.7294049371327794,0.4683474084914755,0.801215025520018,2.0262507798368237,2.057887427531844,2.64616854533774],[0.9631274949789675,0.9693550528404024,0.859077758722074,0.6749963673149445,0.6776201521109366,0.5637386984735112,0.5237510656625186,0.5464665974125605,0.5246231288005176,0.46967090598724365,0.48579328800513155,0.4891311952842352,0.44254605201697866,0.4353873440061446,0.6102429386030358,0.4323799808907357,0.4082126737183107,0.39294511723684594,0.5175441462857622,0.4325552911359968,0.5393396084821408,0.6098856556542787,0.8438623016435824,0.8918943738719927,0.870941607655161,0.6241780846481173,0.5010808850114145,0.37602116776998346,0.3768903588305307,0.37939417005817766,0.45454403155962614,0.41265378946151415,0.4624157966291717,0.5037314287802582,0.45600919562134085,0.45857909475126135,0.4021234403807921,0.47922675327944003,0.42041953581259167,0.551063130753572,0.5204220765558265,0.5547271097684302,0.6281571000743321,0.8847356836245291,1.4998569502146966,1.992929419461671,2.2960225390646034,1.3764898896285815,2.4507999304082273,2.5757064988028215,1.5200076016426993,2.2029501733996626,1.3316124159747385,0.8823247850408992,1.2638738691794116,1.0798254211847127,0.7073222582003725,1.9407941017812151,1.1192917077210558,1.405821728178073,0.9063609728327925,0.6714285918211236,0.5686037692098427,0.6465846484896308,0.6286682394323072,0.5759478174567941,0.6290240234615335,0.46936025582124186,0.6070048459675784,0.6197723182783696,0.7354075821125559,1.0262290200105286,0.6516164542087489,0.8328416634643077,0.5494238017154158,0.9949548650622992,0.5277304420429113,0.5030565471360482,0.48941886858090433,0.622636104724775,0.4695287784059041,0.7309335503722667,0.8328495205043256,0.790542801778566,0.8368715027451185,0.4434451115659528,0.4497922367854783,0.49144229451052873,0.4596934325129379,0.48468752002772186,0.5551098096676083,0.7741485356650059,0.6602098183965488,0.49995059994153884,0.4706100433105296,0.5807080687242598,0.6543791449063505,0.48520279433500774,0.44887528502764595,0.5164983625459061,0.4309935332275266,0.5575696752753234,0.4890618502432776,0.539054772512013,0.6638398550294288,0.6133946325652271,0.6771383854595102,0.8865511787944722,0.627706839637513,0.764684643647788,0.5963406632763139,0.5426531162709572,0.536310643314922,0.497775802648658,0.4626885984606867,0.4532585223797602,0.31714096748640513,0.3175015392097148,0.5499752302871558,0.35311492750826584,0.40731932999222564,0.2946038617492495,0.295702966445655,0.486402069555878,0.5269406701418359,0.5248778322092754,0.5395269954717791,0.6408003594513118,0.6460557954389082,0.5686002204203854,0.7113596559489792,0.6524612122360415,0.5774988304224916,0.5108704448019019,0.5222513408041191,0.5165575405294247,0.7429396585279241,0.5843573749271072,0.45772108701950387,0.6838615203669217,0.4876451844170861,0.8689424491163537,0.48023653686843565,0.38670140015377835,0.3880089769247915,0.41678866825562516,0.39876408208113795,0.4606094934936222,0.456795263569663,0.49426816642833804,0.4869637368246075,0.5549880387666618,0.68446600152003,1.1069219425019712,1.1134592994025558,0.49044751856874336,0.4647106667688741,0.47211200807951303,0.45323963454133726,0.4856093173874061,0.48351384711186757,0.37260706590709497,0.36446506029455206,0.4070493785314228,0.5161490342202442,0.5440252463151801,0.7460088161964924,1.1488795197284292,1.1097547688638452,0.9410305183783526,0.6723174444902198,0.4700262834043862,0.45231539347080263,0.414672456910822,0.38479096728484385,0.442058216668644,0.4487933343642627,0.4673558014581804,0.46298275045251286,0.40070324733798396,0.7493373430748775,0.5061747106947148,0.5517557897888057,0.5818588192578221,0.558675801355171,0.6766715650659282,0.7695350368071878,0.9123279962601897,1.5456054335241318,1.2466816618243584,1.3660628544787368,1.4974909073045233,1.2432302580035361,1.0715788890763789,1.14468001864355,1.544014581206512,0.9978698938939269,0.9696443265771026,1.06162671083606,0.9276259171040111,0.912169731611475,0.8084674975501046,0.781627118185197,0.8524775304558958,0.8533703060772664,0.9676922810064493,0.9847019392992641,0.9790725801883521,1.0173672466907993,1.2055312697402942,1.2478139723291128,1.2477085408010786,1.4198578457804523,1.562745519185592,1.5929375262150287,1.630847893978273,1.2772671176164947,1.1552751020855876,1.0141720220866843,1.0421786065946965,0.996819478379382,1.3475047125625215,1.1860134915826939,1.0650225838057212,0.9857588344662344,1.0369972510288192,1.0129341028712735,1.1665714354262602,1.082073671137192,1.1087150858563295,1.0925331029882717,1.2211297245797448,1.2014840582895703,1.177568400167855,1.6157222458192784,1.6350844500559536,1.3957459812306465,1.5917669584235898,1.0944871357708865,0.9372686230658797,1.1228178427236701,0.9758247191993772,1.1084266247345373,1.0156675795242933,1.1957342119907965,1.0267308306464034,0.961087866582388,1.0038429931394186,0.9735971179726485,0.9051974866883835,0.9821136853173128,1.0873043137022342,1.0820601701877783,1.0719038757864237,1.1832337465421938,1.4686478132725476,1.2296346409243082,1.1350109005848525,1.0294170981125872,0.9570131176143692,0.9109636348723276,0.915886547844343,0.9108923268349124,0.9065312365755283,0.8868683019442365,0.9244675245638159,0.9256582473543717,0.9344821691334757,1.0915201945510216,1.0918235855957537,1.0012282529225676,1.1471064756971359,1.2060346625556075,1.2440482923792626,1.1549034252235721,1.1052901488960545,1.5867626614808228,1.6017795246727826,1.2634913608872655,1.2926707256701098,1.1234520345063292,1.2379669554905766,1.3866769159895764,1.144758385632515,1.2026607328206114,1.107433117539834,1.032310746186012,0.8804221337810046,0.8368113955866568,0.7717320110854716,0.6022415902778381,0.5932885348923976,0.5567328846865245,0.6948431873422413,0.525785556131634,0.5436917126270042,0.5439732683623506,0.5309308093450837,1.0214523455893247,0.630985907785216,1.0047948323052944,2.366722260758546,2.495592672212432,2.9953334831930065],[0.8288097639106394,0.9283774388881558,0.824433123449722,0.5839857013636169,0.6299044417094503,0.5066428969175003,0.525266398288775,0.5725680925060873,0.5543642293828809,0.5709816345273304,0.6161950304653773,0.6012846229180228,0.5492881573639827,0.5713400388168738,0.7356635726268966,0.5611100279398304,0.5142046588533283,0.4768805936495327,0.5223816702549136,0.4896457357727083,0.5644070870107314,0.6332063412293895,0.8101504490425941,0.8831924117639899,0.8552684227381643,0.6456780077352307,0.49908962937678203,0.420151733444219,0.45873828343671225,0.4755350749125255,0.5590638789156803,0.5185477723581379,0.5757011398054023,0.5920260372464421,0.5268596321048847,0.5119109886403325,0.46078909770802934,0.49558482238559687,0.4539543630542068,0.5003006370618547,0.48567145577276744,0.5089584077893269,0.5625673943610774,0.8272329451798739,1.309766369728309,1.9895462387757745,2.0047081034020855,1.1968185064559977,2.3704771935069777,2.3233067052652228,1.338682499388141,2.3274899798909363,1.3632503126221784,0.8044901197660106,1.2333719044026499,1.0870154617077734,0.698673675710974,2.1128348116457683,1.1798869949850024,1.468110884401882,1.0082414491683733,0.7394784348772004,0.6199974723536902,0.702635307080997,0.6769532850201705,0.6200038180393376,0.6775700283921531,0.527224028699416,0.6343831111318634,0.6939447488480878,0.7739637852802296,1.0553632294328747,0.7054431806113611,0.8491196428294939,0.6271808146452985,1.0736277290207334,0.579452888655546,0.5615040178843967,0.5392494805871269,0.5896197404661622,0.5066110774047673,0.7021918596951883,0.8474476201355235,0.7021771365888219,0.8179626139988464,0.45903862544295093,0.4822267169480313,0.5208377408720061,0.49921056898009825,0.531943028850659,0.6126320634733343,0.8727237029125124,0.7537266244985548,0.6282626471804905,0.5960201231312022,0.7204282780546772,0.7648487436093875,0.5963642223006442,0.5553199235325605,0.6325717390197437,0.533910493887883,0.6164347053039755,0.5198635127481535,0.5083497874229731,0.677205501327914,0.6018705089317822,0.6023993039578669,0.8216179561633565,0.5574410399734621,0.7538817204319082,0.5788431621290511,0.5636121196193636,0.567252385326797,0.5164733279750858,0.5366307214867101,0.5101143622533763,0.3916425844244882,0.3942624358725545,0.5830640208805472,0.4271831275335985,0.4780129326234754,0.44611626774281277,0.45331319908850715,0.5878103793174616,0.5800586233989643,0.5259984738182266,0.5437481164608531,0.596062923042889,0.5826032289350999,0.5902438677614668,0.6101278237588517,0.5513764825408715,0.5360393660221211,0.5159507136727213,0.5128076082704794,0.5732109302638994,0.7298394416470528,0.6212894034630746,0.519975387868322,0.8434491366075355,0.4413233526230802,0.8523406042001818,0.4724910613004708,0.4186289455917987,0.4124419737124175,0.4986993304650651,0.47766827276010715,0.5380985792910357,0.5008033818709955,0.5280057037950738,0.5191401376575099,0.5972717853122947,0.6899901380441451,1.2378621714575775,1.2230034349492243,0.5842714547717709,0.5660644483725684,0.5174330117064899,0.49232355952019147,0.5057395428944486,0.5112950510308419,0.45302000570927764,0.4305638939491716,0.46910874026886323,0.5075148277958883,0.5408845754922679,0.7051771643862695,1.0533334087297799,1.034338232786785,0.9350639903117055,0.658020524150324,0.5271129901436782,0.4938625191172347,0.45678412234544774,0.4337683326566132,0.49952437412512474,0.4999419738963101,0.5098186628483286,0.5048566288158153,0.4423602004612007,0.7054879230651204,0.5564566674454272,0.5881791082906362,0.5743360861779065,0.5695117941230418,0.6390477073197427,0.681853964612348,0.8981198903525499,1.5568164482643863,1.25640938416302,1.329757237619013,1.6474661605084098,1.2698734690348836,1.071236759018122,1.0163084392483936,1.3746457902164806,0.8692939110667524,0.8177042243465398,0.9170754481030547,0.8137896898572379,0.7925792563208754,0.7469981535173785,0.7213409070052232,0.7564027502799854,0.7870926074473584,0.9456261940775387,0.9034454933735373,0.8928216232546697,0.9814744475960997,1.1344439204291616,1.1377880685553645,1.1618256362178239,1.3639427512165232,1.4290478462272165,1.4416717460595854,1.4624905829343138,1.1795259347697475,1.0114395708207968,0.8903830040896813,0.9391327983948625,0.8709933732196994,1.311707252168172,1.0566196839978557,1.0431648453027411,0.8999188392372471,0.9359816055651657,0.9270217570806216,1.0185140578070069,0.9186880497050899,0.9687232657611355,0.9279336108747733,1.036265640005701,1.0386340431875682,0.9974271118885097,1.4264225182294827,1.4392955619357604,1.2326073012199363,1.4309582284890463,0.9378820360062265,0.7937569461413224,0.9777753962118103,0.8869050847139318,1.056500037562219,1.0036714759006884,1.182707957135364,0.9779461183390562,0.942333602427179,1.043490874703339,1.0032712876756211,0.932851035035297,1.0477219052842712,1.1741342756718942,1.1138399514109107,1.0908023960940358,1.232685651936579,1.4847574064345805,1.2064678217831675,1.119277466267317,0.9828996398025157,0.9233549510246531,0.883987567620249,0.848409080003015,0.8281991429694078,0.8302412583436098,0.7906742278049615,0.8033550242139105,0.8099434917473445,0.8042962648555205,0.9421597709606574,0.9579788208458722,0.8837541612219766,1.0033786553248525,1.0626002080981614,1.129681798444123,1.0468339942069365,0.9977386342544613,1.4844829568736109,1.520074656976372,1.1461974881069628,1.1726087269957526,1.0009797585723472,1.1012882182574613,1.272457139644346,1.015235531397661,1.1081434996809594,1.018270979302562,0.9236905688233901,0.8019803154364158,0.7381119465110693,0.7104473881956499,0.5074257560959325,0.5482969704906954,0.5012049290193319,0.6730987798257662,0.47367534484441487,0.4264033480389224,0.48436112075984455,0.4854923081823976,0.9575278375088273,0.5206217951143824,0.8814321908942272,2.08657408758785,2.3811626938902717,2.972578197621221],[0.7392123301806922,0.8761894043651262,0.7532804251717492,0.5088757022450964,0.5093382489052367,0.3580701666766867,0.3451832946094124,0.3578152254911263,0.3551510619986949,0.3145433080928571,0.3337675664943623,0.3411225809388139,0.2924065527704105,0.30169027082614397,0.5411404334650236,0.35304813173952826,0.3367886275636208,0.3514443997687646,0.4951877591290386,0.42431900555406366,0.4975204507669036,0.5595316144385516,0.7312187228805741,0.7702506692831749,0.7871476086756616,0.5999641041059465,0.4612657359793904,0.3628023519870874,0.3518987386837492,0.3248691005449837,0.40769131723413415,0.32714069524680695,0.40666040406404397,0.4198175264827892,0.39471481932309094,0.40152173670055175,0.3306643861331024,0.44166277883038696,0.376654834201354,0.46039972728289785,0.48074990551208185,0.5340267038860927,0.5479415325870571,0.7908743803476357,1.3474588932205211,1.8190091515072844,2.0273242967053777,1.1238415457043285,2.3218878359150295,2.245992846731646,1.1418364187707133,2.1363986234811243,1.2041405604935242,0.8067472268506392,1.411169484763015,1.0260945494606786,0.6583001195923063,1.9501220649633266,1.0583790808921758,1.22851904421496,0.8389978974345372,0.6152630049493385,0.5275016300976786,0.608896594721137,0.5882865009207712,0.5371653039320898,0.6016755916268892,0.4560159605559248,0.6144538274783816,0.5809065667886634,0.7028769373463515,0.9342506878803893,0.6206994151182285,0.7712834516761582,0.508867523663759,0.9851201618720076,0.4825594487453521,0.45840828256699867,0.44486654145166277,0.5653149525901523,0.39936226273624464,0.660721489406962,0.8655363135068171,0.5537755569868062,0.7529490132815428,0.38817451166629857,0.4094504370120024,0.4156049024841092,0.4192788575065869,0.43136603618929104,0.5023740501319607,0.7282619965361247,0.6103378693140834,0.43867573115300307,0.40513649345191116,0.5214872179946028,0.5922008190354439,0.406131387872887,0.3292009128037041,0.4440410156141794,0.32669506776747653,0.4452616652329987,0.3545700615826218,0.3326028502179603,0.5220458245941952,0.4353625004605092,0.43565959074305244,0.7135527926744564,0.4466248789465476,0.5726301380399245,0.38348941330871905,0.3434051407900456,0.34240910653663154,0.28003554176417267,0.2716272839025671,0.38597380692277117,0.33633811281910386,0.38805812894485653,0.5320272342034907,0.36497935125783804,0.41445074813047617,0.2720126216765714,0.3142711573077046,0.26231319091969785,0.32066887165004326,0.3188188238447359,0.3728698305073557,0.39619758636772756,0.39289997033334867,0.45177638680425847,0.4406972393828383,0.4004778867176252,0.42153363183881576,0.4232352041708207,0.4064093652306468,0.4675916622899804,0.5953217823766739,0.49171346108558434,0.45852557120945364,0.6620895387912221,0.3983234571022694,0.6902281219558768,0.46414959909355663,0.3565726789373392,0.3585705624273236,0.40808258813693693,0.33951552545658853,0.3301998824260343,0.27103184583428436,0.2960615014556294,0.33230226991939826,0.40502582147166494,0.5631028772261724,1.1812227833810092,1.142307379148825,0.38699338382014326,0.3314544086709326,0.29249012993351375,0.27569177992823524,0.3172983732878505,0.358130169035825,0.3269463865951141,0.3444078712833051,0.3576917504754578,0.4475251897849161,0.5160769981761951,0.6911381647302594,1.0172069243342001,1.0415857699667401,1.0101229799613447,0.6450913530039911,0.481572858728405,0.43763499809834155,0.3589014945874606,0.30993480644353527,0.35044516008741533,0.38194954203613357,0.42992005688815405,0.41279113684756674,0.34506479694870057,0.7549413721871047,0.3963049338300827,0.4689004443313575,0.49505420411260814,0.5043722207694343,0.5759259162332296,0.6472941256862287,0.7719765262265771,1.4375517941824434,1.0470530724503402,1.3128812441758233,1.4559859330591707,1.173914415875578,1.0400858887931173,0.8133244189934652,1.1078053018109209,0.6930137054693927,0.6396549239622837,0.7316529738085211,0.6547027531994656,0.6068427648117253,0.5870638868190844,0.5629923376011555,0.6095369597316644,0.6615256510434507,0.8323801412645349,0.7840209435120414,0.7721471569556136,0.8808737233160305,1.0030638131938132,0.9985121282773523,1.0383981694593916,1.2325175180989516,1.2587631582641376,1.268333327472573,1.2847701384515742,1.066100596052671,0.8763325536752137,0.7718056758926759,0.833481539369528,0.7443824195024847,1.2872372989915628,0.8916652504628468,1.0758127429061144,0.7875033939553909,0.7808419315134789,0.7705348450939415,0.8059090446676104,0.7019985675395014,0.7563104153000682,0.6997217355735543,0.7918457910147583,0.8214430259784409,0.7438506301062596,1.1796623419633425,1.1802885755034316,1.0408504203695994,1.2394066069061491,0.7505122790484894,0.5888065348079007,0.7328700944827612,0.7135023382663159,0.8841529425612337,0.8690196410701492,1.04233006514429,0.8140432452901983,0.8107737018233061,0.9305570181658174,0.8891560722535367,0.8435903488566346,0.9708989133431843,1.0964427901116915,1.0260878716686566,1.0121927179723835,1.155686805199002,1.3912657339428016,1.1130714572525953,1.0400070591952222,0.8934171622783019,0.8342464201606332,0.7907122573860789,0.7273923890949338,0.7205121476233778,0.718487904608353,0.6514155048243102,0.6569454953110925,0.6771817879157211,0.6481142716454903,0.7518180715187042,0.8071312162345169,0.7477152802037146,0.8371931110430595,0.8854153351417967,1.009388091798151,0.9314467040759412,0.8936639251087585,1.3164078896723406,1.4173606002198589,1.037118368330508,1.076988706981026,0.8955969056532688,0.9546140615103474,1.194613821787089,0.9195459888139147,1.034714549679547,0.9297415632690533,0.7916770039141796,0.6752385643943783,0.5942374422901017,0.601110447879633,0.4151392105825207,0.4125681822306443,0.376276243621368,0.6729472060480829,0.35450625850742,0.37048840391837434,0.3621994624403168,0.32809489950075904,0.8008844546404169,0.42152882000428205,0.8354655932035076,1.9390867277811095,2.1931652427581607,2.7745328557492197],[1.0035378446471508,0.9634667709960033,1.0582132812571252,1.0553203573319545,1.011671744995173,0.9407910162927332,0.8441242596733296,0.8284100818392466,0.82620895654984,0.6779868379504238,0.6232756142831352,0.6299420881670214,0.5167394689497663,0.5076618914908164,0.5790564273012996,0.42067182014373433,0.38849101658924645,0.42933274672971655,0.6953612946831744,0.5880347488448487,0.6955681985234835,0.7851354926811882,0.900247041733161,0.9472647029373283,0.8509214865259332,0.7462728355533442,0.7196554500836129,0.5596622942849803,0.4532600537205514,0.37648457127970053,0.43236343919216946,0.3940649029479177,0.4309728982409377,0.47611650510709735,0.4686436456215339,0.5101076944530674,0.4327853929903198,0.6656140142202515,0.6283630095938162,0.7304584018002408,0.8363851248438993,0.8447588459075319,0.8499626836695721,0.8839168824466846,1.801099215303222,1.8174820917685812,2.541595101675206,1.4377804041646738,2.094659735759225,2.1752514118457,1.1682176284148935,1.739445872627649,1.2335685811671446,1.2259489793276728,1.66697887726272,1.0976858686542277,0.9013841674426842,2.205421487498553,1.4657898469760595,1.5471588943261223,1.0970002402753822,0.8102370955235959,0.6719292015947926,0.7780918736981098,0.8226825546770992,0.7453142377894719,0.7667594802132437,0.578710793130037,0.6717215771459281,0.575748266595718,0.7133419715173398,0.9670239480277296,0.616456709816322,0.8571680527531598,0.571099435120753,0.9382785502029075,0.656436189849123,0.5866761209138013,0.6142980343587375,0.7950413318301346,0.5727549136850899,0.8163078113666353,0.8080953771971721,0.6950717327060937,0.7725662161869656,0.5074165558931616,0.5967439074212338,0.5458445063876757,0.5750438366015755,0.5193609167741917,0.5782485704642232,0.7158539309491853,0.6033384330533474,0.46526984993573267,0.43464907223028976,0.535041462243976,0.6644000186569404,0.4794562839505151,0.4950152611007102,0.5201813834591702,0.4051711224426614,0.5778495386222743,0.44925662692628765,0.5142453342926111,0.6370167648152311,0.5782144146879336,0.6299771803441612,0.8351942547307246,0.6262664356807409,0.8552164680422211,0.7567955894545322,0.622107166015482,0.708196065168187,0.5875044684894767,0.5729049483291415,0.4954879246317413,0.3502551694559666,0.5355948136047542,0.7084048873233034,0.4334042360842483,0.4010090704191833,0.30477462797748056,0.33315012315953446,0.6780829063051707,0.779365779325632,0.7728698307926293,0.8357705639055136,0.7646623902158447,0.6790265873153026,0.49859545346804446,0.6180438529198855,0.5164469464732889,0.47410415020952984,0.40929992532946813,0.42534007382142003,0.46125004325255614,0.6678653354771599,0.44227749591583565,0.32378818510475993,0.8232974949344517,1.0244351727580685,1.0669545957255444,0.8683932785630902,0.6806767300722449,0.6738818343870939,0.5351328001573146,0.44342847228900806,0.39951676461680496,0.4555714459525564,0.6335043387973445,0.6326288853250938,0.7770486700124253,0.8876040540700806,1.0859253287050337,1.0545242284467689,0.57011840693176,0.5229526863854217,0.5394503556472294,0.4420181421602248,0.4588684868083693,0.3843676009318994,0.3880009086013235,0.5266479010704181,0.5663661802082576,0.7587480507452738,0.7916826120151248,0.9492792342446175,1.3122997693631677,1.1649828221116398,1.1054656320525618,0.7061907359773534,0.5737211172241288,0.546006396570967,0.455963480052843,0.39177157318788297,0.4032249501553743,0.4076762612983224,0.44923078475810796,0.5330148092867818,0.4352656021737562,0.9326419318852778,0.4402665845861048,0.5384733538928026,0.6352634459148019,0.6423835972133074,0.7811418367956674,0.8798128930931729,1.0559979075806565,1.4436040041039562,1.106833666217044,1.5557661183710434,1.4938292613636177,1.3139365053065961,1.1337815275792158,0.8901240204086958,1.2128759641879217,0.7795112055148802,0.7969711104697788,0.9989573555485034,0.95125620559794,0.9523661896124244,0.908907555636361,0.9224357973655165,0.9988834863989513,0.9870362827091238,1.0850278487879903,1.1255136180165202,1.1126338922666765,1.1130196469671647,1.2587239011058133,1.308148892272242,1.2772686503041468,1.387537565968479,1.4960558775716317,1.5672853852545927,1.6940121707057987,1.2856258342288653,1.2627141626901353,1.1379431847623591,1.1422064742383928,1.1078091572692037,1.548818969068771,1.284918641994716,1.113363364772745,1.0538377592089117,1.0704198740601791,1.0284443414183377,1.0729322960163648,1.0156716296863115,1.1118745466729247,0.9772632652676116,1.02399680145059,1.093274114464905,1.0343544836729077,1.356378195024176,1.3574218596405125,1.2255034655494585,1.3820698342766211,1.0210553276171377,0.8212534065309998,1.0063297757734782,0.9745323137525923,1.1057850863560794,1.0709318346314853,1.2244943457998267,1.0649414763707128,1.0490765949723746,1.118661592768032,1.0802696180103326,1.0216801055765887,1.0785148908508153,1.1612213019405364,1.1447973049480293,1.1392469271881007,1.2117387016413743,1.4280645477772895,1.2557144604302812,1.1714205856173088,1.1021519773079673,1.060437982498627,1.015480034711729,1.0073282600885793,1.0252318390661588,1.0343879378152565,0.9830646587009296,1.019984490609478,1.0568399935745694,1.022012713031124,1.0881297745181044,1.1265328252595814,1.0985404414268447,1.1181564837882114,1.1258169910316254,1.216711429904698,1.181524614121423,1.1979709465272375,1.575348939485231,1.6802656696069687,1.329198191991322,1.3618266969386996,1.240780192036401,1.2774875225348314,1.4614970980258828,1.27600529326872,1.3027023961689814,1.2553113359043244,1.1571406711345074,1.079095211290455,0.9531465410220656,0.9442705386668562,0.9132949008151973,0.8387924256832794,0.8480690188781266,0.9440044641972505,0.8335646081404975,0.945200493933119,0.9269802340989359,0.9008910451400646,1.2956543492360082,0.8860331627576518,1.4876545655538556,2.7267068382193904,2.937768987612169,3.2876131090575518],[0.796968260725426,0.8232723839944094,0.9023435729149175,0.724373371208403,0.831535597435938,0.49649680395459905,0.43487123498117264,0.46197645588575653,0.42678484684664353,0.45250807547379723,0.5505143543114979,0.533040782392595,0.5595339356920483,0.5833224171137266,0.8382340095339239,0.6577940994106531,0.6416590680564684,0.8209269043533676,1.0590162311683582,0.8064024569185243,0.918966662403508,0.8705110779959545,1.0276221088200188,1.0394840323667043,0.9634844619352304,0.904147510892972,0.7737307004997951,0.7112675158887788,0.6841559427654348,0.588192769890232,0.7976091687670717,0.5898567399237404,0.6742694798293263,0.7834583572857321,0.6980173254795108,0.7332983893042728,0.5870153163449543,0.7387335528767652,0.5598439548360538,0.6032155907851221,0.6112041353622527,0.7849885270316138,0.7990096348338647,0.9017274031478487,1.5180797695459067,1.9535027460025631,2.11338442645049,1.2960568236845853,2.291385169209932,2.2855843709669292,1.311370269509245,2.221037595237668,1.4004033067967827,1.0047800117543728,1.385353098552408,1.1674104792574271,0.8699184781623841,2.1625150787965732,1.3308416168832562,1.5092975277708194,1.1074569569206365,0.9425204700183955,0.8610028160190395,0.9445025587582249,0.9200538304176873,0.912588213119824,1.029304405368634,0.9453414488736817,1.1145045560908657,1.0892002511850603,1.2049489611445914,1.4755417098690802,1.1313444724332329,1.2970945685633282,1.0143810476987518,1.217759864014822,0.9328744636624492,0.8854666475329424,0.8176480346135158,0.9017238787595533,0.6564434753520757,0.8081207757658468,0.829873707076372,0.8298973616293144,0.8641006720704917,0.5485853950582165,0.6520916679403751,0.658394312528799,0.7695386192037166,0.7832607505132216,0.9281280348037585,1.0802381003981492,1.0038562938744142,0.8639356269725798,0.7963999475925254,0.8808976231037222,0.9140996109965437,0.6686439569065408,0.5604897088705258,0.527382665825321,0.46571520599333144,0.5047976412726193,0.49124153669764936,0.4892760090462675,0.6536221680102091,0.6921817565785662,0.7792099840190894,0.994852379041743,0.8299971066559775,0.9406813248810683,0.7048588296688886,0.6280255648783487,0.5005065066629746,0.5056753378145987,0.4611136638220332,0.44419279881984286,0.5553104926157523,0.6546460053873271,1.0829149831230762,0.8999121967660667,0.9600788506754729,0.6820251758150645,0.44506974341599576,0.41324961199013016,0.40994547015512356,0.655695326959517,0.6803092358660062,0.8256006686631214,0.8831029694486967,0.8011634489317908,1.0439272346970425,0.9437985719471395,0.8978727099643155,0.7536432217564405,0.8434048335737622,0.8326168410751137,1.1933528712428003,1.0793802206228968,1.0007319761510456,0.9034750550149735,0.6701556487476539,0.926077841333029,0.6382521908710147,0.43772569876317047,0.47136575637754735,0.5136945228990546,0.41777193646073146,0.41275991483125507,0.42044057257588746,0.4226779769973484,0.43956991414978486,0.45003140960528815,0.5654796446660623,0.9938832715137532,1.0528601525256152,0.4834982090067214,0.46980731448891877,0.4029911076447529,0.4215278520244975,0.4660335127436118,0.4886152018962061,0.4003166840622199,0.4302047776062481,0.4504437071815646,0.5702419514239161,0.7103892445857608,0.8652250935994543,1.1218267439702416,1.2235070192846242,1.2001509385445135,0.9901642070586663,0.7827251350397834,0.5977755885927438,0.4966864770365488,0.43715329496491534,0.4465338934588279,0.5062420614647538,0.5411264546793949,0.5744030067979337,0.47151891006839086,0.7308872939320548,0.5996215987238463,0.7143253809291228,0.7179258590919021,0.7111085000222339,0.708984166423902,0.7752848577997241,0.9250733587524933,1.5424670771814055,1.2960953532612323,1.3291353340997087,1.8177873063240073,1.370779335241105,1.214804639816794,1.3320146759521003,1.7012447172322527,1.3460473961197938,1.2535958727987504,1.3726631573772332,1.220871148786945,1.233207704733068,1.0911599694715768,1.0297957352070564,1.1471679093337384,1.1096434317758823,1.0695345142119845,1.1325386810724813,1.1415285430408368,1.0742880505417507,1.135281498544203,1.219260298294065,1.1837235302287137,1.2371026367331255,1.3625621494287468,1.4556200813299929,1.6202076127787965,1.251292952583862,1.3539615437355421,1.2171065305721582,1.2144349004850956,1.282775454378248,1.6923792557559998,1.5190220573766997,1.283644496898484,1.3327476124690816,1.4243543288104672,1.3863347965336545,1.4769262027711594,1.417107733536167,1.4834315365652073,1.3982573257484734,1.4401998522445958,1.5137059797086136,1.4888265615818719,1.8123012631281168,1.7926140736167209,1.6138068370816847,1.8220683444998091,1.3926434100378962,1.2487880368671338,1.446325157937421,1.3128211842041104,1.4304041501243576,1.3469618749184171,1.4751684369026954,1.3183375102903394,1.2359982041942348,1.2547034950591167,1.1476715844481622,1.0608807500048443,1.0528616150517731,1.0710326687286902,1.0539522968355803,1.0915605445513055,1.103617491151563,1.3023129389460744,1.1618587158074611,1.1112550601158633,1.0909983256894495,1.1154274998362412,1.1216831116569774,1.2039238602460183,1.1473577878730665,1.1229013878132534,1.2063405681620964,1.2504429831266275,1.2176658733997072,1.252810833719159,1.4116251943517608,1.3714952179987199,1.3158745328964658,1.4420173106074456,1.4761614091682422,1.5229625385610892,1.4626815951580383,1.3846754518837665,1.765882894982403,1.7886264751549639,1.4545020512170972,1.4172957423532762,1.2822004734275092,1.2248766738975843,1.4557135304053754,1.3357553146684957,1.440701356866679,1.4461748643486818,1.3760385976256064,1.1800520120658167,1.1549084830673124,1.0065587829113538,0.7873148849566436,0.7311716903229246,0.6652735744827427,0.7903550698550414,0.5847257590070123,0.6368221689014737,0.5335554306913385,0.4896187426014336,0.9189876580533956,0.4240349966295494,1.0409111183566022,2.1912519654381737,2.5232005298050404,3.037497092594532],[1.061181394093917,1.1456619439922628,0.8109018968148377,0.6067593955794179,0.5107245030114073,0.6690196004981568,0.6596742877682547,0.6616638302754747,0.7999630049750482,0.8141089250281872,0.8764027415879561,0.8273339494464523,0.7457165376874169,0.8433860006545614,0.9471142107568442,0.6935630023808612,0.6007871280487564,0.5436275802196451,0.532106354294619,0.43767198425655013,0.5514108656515159,0.6870252396713301,0.8686348534154509,0.9406877774549958,1.042111002792738,0.7365569216117441,0.5712619785171565,0.37793420316125514,0.43259535605030114,0.5073390359774144,0.6449834654794617,0.5602675360851829,0.6187530297075096,0.614856719391425,0.519223674618765,0.4994181042824151,0.43067882912163297,0.4555550358592547,0.4727905113359761,0.6142548567041541,0.6566305803276686,0.5783959545538147,0.652291120922655,0.9933877224053007,1.1820813153490108,2.1208731616572174,1.7327168612613184,1.1597746617356426,2.5442397016286504,2.401165967101041,1.4342272210189173,2.625904614649169,1.5983195705257438,0.7656279644368412,1.1822604478118277,1.2852978945371847,0.773053655100598,2.0360955524719055,1.0862390930402506,1.4242718129958247,0.9578775035946244,0.6963774000763066,0.583703324488622,0.6611886849081461,0.673225396550613,0.5831751854218674,0.6345443013647041,0.5129993946690748,0.6886980758454613,0.8414706412701198,0.9358945958230623,1.2190796577407026,0.829174348068591,0.92148287877841,0.647537184861991,1.0149725807978567,0.5408196911568668,0.5347020919228052,0.5083091508475625,0.6064063058549886,0.46891272861434946,0.7375351259860538,0.8193694313442172,0.7556151316434039,0.94341611901872,0.42337057054871774,0.46119544486062714,0.4598767812158724,0.45924178876648014,0.513843789265797,0.6477895411490867,0.86405298494066,0.8195675771846441,0.7464820357397876,0.764452623256861,0.9095902298799594,1.0058727468551318,0.7601944855715554,0.7377507129600993,0.7658086747068634,0.5786575266695735,0.6101474644025574,0.5123816322455006,0.43682736169656866,0.47810173408967216,0.5249530931441063,0.5532972797740278,0.7381819632292105,0.5550710119435236,0.6994869636663561,0.4522022971570569,0.43253485026353866,0.4923146347348395,0.44500889570363805,0.5677264802089669,0.5268127043671876,0.4320570535952848,0.3286260308661923,0.528601482769095,0.5764844716301945,0.8635646015404002,0.8746216649890122,0.7473728277402941,0.627247582261946,0.6276653630450226,0.4990302999841494,0.43969419948343413,0.5203017935099156,0.6039325834793745,0.5439292771360182,0.701840225925023,0.6122973179007978,0.6336187844494775,0.5530503125143917,0.5956211713141234,0.5500105713146591,0.7980852254475829,0.8094977892214863,0.8071749711284852,0.76962310980561,0.9120976829797647,1.200448108198824,0.7725829353359385,0.5504502138009028,0.5138532610115109,0.39808391077931443,0.32804485434404207,0.40521534521652464,0.3966562645121579,0.5335474360800037,0.5399688783575861,0.6433428151346162,0.6593095717965894,1.335650448951233,1.3389817072152643,0.7269237541707394,0.6939534722518427,0.5212140381307071,0.5041348854872,0.4283450993545086,0.4145455567056685,0.3586288170462821,0.4635835228839647,0.5285670677477569,0.6576947460335554,0.7853570159593322,0.8350276046910454,1.0764410898403998,1.0386978385210692,1.0279633277211204,0.7745745341114653,0.6469225630553689,0.5486156580105892,0.4408628129039405,0.3826472200670021,0.38201284529052787,0.45417409571111733,0.4878885436380753,0.4811350475571596,0.38934143869628235,0.587316897493573,0.4443830752211794,0.6050038674325199,0.6582075572112615,0.6822091506893845,0.7816148811667415,0.8584334503455203,1.057827431356997,1.7549538295983835,1.4291130693652132,1.3867704991642633,1.910188178699523,1.3062828306757301,1.0943986174749916,1.0949771303173774,1.408710632699731,1.0469072814339935,0.9506978325356062,1.0171031594600246,0.9159434645613039,0.856069830738066,0.718433821777589,0.6253520586538788,0.6662372976627345,0.6246479636490034,0.587711953749298,0.6210214280162035,0.6105760449512612,0.6058741933617254,0.6887990844209201,0.7166835527379727,0.7127024838947086,0.8432018891009113,0.9160110232545259,0.9231410750327802,0.9742000935366356,0.8340149326697471,0.7744607432856472,0.6685335030636225,0.6673556250531866,0.7540880123408845,1.3485527979391554,1.0281551167458085,0.9189006463984923,0.8469514666995177,0.9958692486587567,1.0029728021384967,1.1669024219556823,1.013150741963908,1.0538431798810115,1.0616670644243185,1.1460340822410813,1.125215239937939,1.1103223761895022,1.5247279176259005,1.4611436852072903,1.2752271884092623,1.5208093265142868,1.0232053031197599,0.9233403365343433,1.1087654838312675,0.9704714449235871,1.1640155637207519,1.1082636494932503,1.257341860991231,1.030908089688632,0.9300567396090282,1.0340931353996687,0.8785097046526558,0.6613409610020805,0.6939785251938445,0.7698766721084592,0.6620886935915867,0.6683813876417541,0.7700918415847298,1.0017379499182961,0.7311926185422304,0.6749140155891094,0.6116743930686355,0.6302281673787852,0.6680348500822351,0.7629173331351473,0.6266306815353915,0.6136791647250296,0.7301592837702563,0.7528494503650974,0.7082340357701469,0.785650644644705,0.9794076589622358,0.9267319802194417,0.8360410359884147,1.0188564444261876,1.0806176829043685,1.085338857211734,1.0193888221054062,0.9729013771905747,1.4581516169969386,1.5118574336445658,1.0797509593766204,1.1092934014354225,0.853886802233117,0.8377511046634354,1.2694335919259578,0.9760886628968636,1.0951386584560836,0.9754175020794571,0.8410585484369176,0.6764815609768619,0.7532617808818399,0.637549704982701,0.5815216584244471,0.5215216420239676,0.5488689384766124,1.0198979593060982,0.6190457830588233,0.6871984510503943,0.6368796749037432,0.6477152215961021,0.7937467367196394,0.9587176530516629,1.114655716941671,1.3940157846402994,1.943137687045065,2.6187423147026783],[0.9949878987000901,1.0870395214347948,1.0168536277940887,0.8185987870543623,0.7878163787766871,0.6166064411601678,0.6344403662337911,0.6978502135483007,0.8084293821096642,0.9157774537651392,1.112621832853203,1.121341635327999,1.0921028554149936,1.1589081119002564,1.3878636365804693,1.2267207385905075,1.1254582718149917,1.2195966362984008,1.1660208836700525,1.0026117437392204,0.9943653824378679,0.9497246943364881,1.0441944536546373,1.0901286626205233,0.9899139567937315,0.9284360654099315,0.819967210508449,0.8492875651991881,1.0245104949553132,1.0370890682852965,1.32307215967412,1.1529537646598873,1.2778955672257741,1.3164551464894692,1.1673419905797988,1.1269596680136527,0.9796243946798445,0.9504038948628418,0.737100536455183,0.6854734236810541,0.6831816039494376,0.8953092115578892,0.9263422582585804,1.0664346979010868,1.4344329817858035,2.0213197621621766,1.8332464866570592,1.2815829715225189,2.2430482012888038,2.039708113092366,1.1758772273954143,2.3408488667282215,1.4890218922838527,1.0091231740418176,1.5434402586659408,1.2711074357505403,0.9709365839180114,2.370149177428696,1.4291090642911528,1.5631242308368996,1.2609113975350328,1.1187884033274198,1.1117589258842593,1.114141935042253,1.0436255187572314,1.0500962963296714,1.178028269937837,1.2170769457660122,1.3612311957568666,1.4893690587610624,1.523103240466931,1.632438730387267,1.4453533292388845,1.4943105286573615,1.3482228542928283,1.478331761405721,1.2229551973328778,1.2464918435199057,1.1516248931895945,1.129342127206252,0.9866923009298683,0.9415519771926779,1.1657403556472232,0.8242385528135125,0.8006929544745905,0.8066588095558352,0.9090801189317214,1.010451757936648,1.0999667290989945,1.2330049494868807,1.3445341435704903,1.4278062966718723,1.4344381182417978,1.3881061724918045,1.371996085601736,1.4645238424985076,1.452113048845844,1.2712469715896864,1.179679185584996,1.1594313197082704,1.075154102755956,0.9547124743781166,0.9008519344563856,0.6707085632971872,0.6929707011694325,0.5900106853575523,0.6094847873757392,0.8038682462493368,0.5530966896772732,0.6311025239021881,0.524476839716537,0.5078071812384217,0.5729100735368295,0.4777968564028919,0.6483377393440827,0.4548815247674355,0.7396522475590609,0.5032312820150792,0.9225356393099449,1.2341959535603033,1.4425067664736364,1.144573411368585,0.5436994217957143,0.5768411980869295,0.6052763535089433,0.552672828704086,0.6198096060424648,0.5236906145277044,0.53590260041634,0.5858893655656068,0.6359297205828451,0.5756305667121265,0.6635510834118162,0.5512806398012444,0.6498959298336422,0.6606383131863317,0.9468816075434131,0.8808618407605391,0.981930165262128,0.9932159920459431,0.9026662376701755,1.0837696902645158,0.764310447703119,0.5934146890520733,0.5523171826186549,0.7044069203412344,0.6412713698080872,0.6635925994620142,0.5803979419837685,0.6608227242513403,0.6842703953379288,0.7974857079481582,0.8027651747593995,1.5885625183734984,1.6217277409320519,1.0451967539573985,1.0206152580581063,0.78474130938221,0.8456105606830207,0.5934239242664605,0.5256031871632308,0.6312934026283337,0.5170201761491261,0.5446070982381476,0.6181039074089563,0.7528244324627016,0.8373862905231367,1.0643030695013207,1.149462588795733,1.1792496468118527,0.8969551221920231,0.7468987128178022,0.5887514051813335,0.5345401796167653,0.602490550854353,0.6486759960205427,0.7996949101666081,0.7960847062830076,0.7656016914841625,0.6411748379648096,0.9585349462376932,0.5468588698232001,0.6345465832554135,0.636427397630826,0.6504875110780218,0.6693338148200402,0.6915522703349013,0.9174701880550596,1.5838870476190647,1.224385556870045,1.371291275236299,1.771040600399524,1.3229733819479041,1.1460316077163606,1.0464624829465028,1.3723529125258733,1.0255452662081326,0.7910595993807928,0.8617314506857777,0.6886142807949681,0.6942384897355736,0.6378405518078155,0.6360665434089324,0.7528428744877047,0.764692682834348,0.9082757698848922,0.9476547028625121,0.90595522900375,0.9561307080740471,1.0882590031199841,1.1206585110746026,1.1324585023674405,1.2979569562973852,1.3642790117835628,1.375347955425126,1.435621554277199,1.1751947741600823,1.117865845169623,0.9647284685486163,0.9896856820317479,0.8979569337535215,1.4165791993368901,1.0332296478962424,1.222657819988963,0.9492648336901042,0.9349424410065647,0.8964641128360872,0.936820408343408,0.8816506450746259,0.9356237093074681,0.8018265226931618,0.916940420047905,1.0224456117469514,0.9228532826984467,1.2903106734179002,1.325478864025884,1.1781559772626375,1.3770076541966534,0.8840523452323167,0.7310266833564109,0.8589008056921331,0.8086031096457947,0.9448856115347247,0.9644709925608925,1.0718448972618952,0.8351221829582847,0.828141758542356,0.950599975871324,0.8810001089002429,0.873433301296886,0.9841388487133598,1.0933778105842968,1.050197911428939,1.0409877495843933,1.173805963288466,1.4187390656325527,1.1747714492701467,1.1029589458815592,0.9754007883126218,0.8813743010645785,0.8385106621345728,0.8093548987410066,0.8144349047859355,0.824366429007053,0.7752460947171593,0.8201024687569802,0.8288351271878077,0.8184056970435232,0.9291850345899321,0.9867373632843169,0.9746617657205188,1.0201797738726046,1.0695656529654847,1.240022008780168,1.1757220590375386,1.1180560498457748,1.5148227784908017,1.6091491344584887,1.2237650712091241,1.2182175468475966,1.0772830802209796,1.1124238134643412,1.2889499801453983,1.1203219388300314,1.2248338887918702,1.2174564162025616,1.0818449477234948,0.9173781507310679,0.7246738079503662,0.7032735443825452,0.587648396727614,0.5706443697057627,0.5643451413907671,0.8433443287252929,0.5465234237370902,0.5441695785529981,0.6009776297262435,0.5830324934081402,0.9321568412620437,0.8212528305219738,1.0019747184976908,1.5535513209012135,2.1401736266654243,2.9234916274431915],[2.1963259965233797,2.278311807049525,2.1328538894682665,1.937827893623614,1.700228324465943,1.9373900246921494,1.923626168164975,1.9420647659948567,2.058831534065044,1.9933043233991614,1.9860482118473237,1.9392059672987698,1.7295744412993859,1.8376291702809244,1.633409154162832,1.4456138269486827,1.219106343428075,0.9859379023827675,1.0298211390895002,0.9483395437029891,1.186380821270646,1.2364129941535367,1.5608662181226414,1.6371617258699223,1.4899608442278118,1.3441058250876268,0.9105420931129503,0.7445017536157669,0.9300273194545183,1.1687507661306982,1.2360505910464534,1.3173222978230996,1.3968345090144054,1.215845747102998,1.1300167511164056,1.0085014224745232,1.0375140244638377,0.8668080849040581,0.7503414708652452,0.7637199107992289,0.8011297806164147,0.9551073726665942,1.01906430680377,1.304131357869263,1.5661586150999514,2.203293860902234,1.921676932492746,1.4710261111625604,2.4243605472098806,2.214403291236472,1.3342912581281172,2.543192580845877,1.7505199436209309,0.9580679857570152,1.5139479349109672,1.6526780603178775,1.1722897293623973,2.107887176376568,1.2230093149286845,1.509242468095265,1.2216874497017283,1.150331786296649,1.0958688536349996,1.2075967971198625,1.1960633164058931,1.080046592419884,1.1961851545288162,0.9935853412274593,1.121179714219775,1.157846198812457,1.139532284442393,1.2590959502046362,1.1141609578668226,1.2208564833699032,1.045244223989805,1.3938239361882407,1.0380474627515988,1.0622330074433344,0.9893697722721547,0.99643485495154,0.9153468452003103,0.9395909086842698,1.2492595009234413,0.847713987506709,0.8912398224190867,0.8487255555664894,0.862556481292634,0.9671536667614435,0.9607544856344957,1.0726648486698247,1.142704787049471,1.3179983313027086,1.286255991880309,1.3306668862305306,1.414096212720227,1.56575665345141,1.6751472490613677,1.5806242038643217,1.712426237802373,1.8463006917083586,1.5482011918019434,1.6589649836374571,1.3564594031364254,1.3881350107117374,1.26665815151389,1.3220959806768733,1.389407979768201,1.4521335444660737,1.4157438462235143,1.4456830916341792,1.547389368367764,1.418249333946927,1.6326163255987554,1.364168942780525,1.4439274967307651,1.1020299868825036,0.8279141398660345,0.6226073362128975,1.0967098565678604,0.8675581679729837,0.9645287785208468,1.4168871242445769,1.2705114454044097,1.5895584082026761,1.7790367187064893,1.3659500654604164,1.613211072178692,1.2905466570906063,1.2323124694194185,1.1781812792428723,1.0002186490786915,1.0041522543748767,0.9441902650696161,0.9586390566448928,0.9328736339350882,1.0404625109427572,1.06558654064819,0.9136430420397146,0.9045349895753425,1.0788782453072132,0.7471789179670599,1.2576411018536133,0.9576895084763468,0.6615850359163579,0.6220971960197487,0.8003883913771815,0.9446616627484024,1.1980616403078412,1.3285376296054865,1.6212442993623637,1.7373699113469336,1.8964889642140779,1.8019050858170984,2.659314002141005,2.43483961235395,1.8836548812106333,1.804794022771448,1.6351093546635123,1.4474841030686847,1.3197786240247291,1.041813135417218,0.8915919078189732,0.7105512237769009,0.6539375798868016,0.6881480635962884,0.7880196833023204,0.8744682118253126,1.0593350865757367,1.1534258355459093,1.1793533720094078,0.9592299832579422,0.8438113297028005,0.7964997025248456,0.8433142812569089,0.9124821526284492,1.0578208552792834,1.1320114001582842,1.0943769318719851,0.9644524485908641,0.9525456566387042,1.1549970862973435,1.0087994295425189,0.9201268615973484,0.843511261490612,0.8167058960884354,0.7693172463541099,0.8171154157014571,0.9631355035568283,1.6511276480413257,1.2084672322751344,1.3986253545100087,1.6780990683242383,1.3280487792503404,1.2353161255227036,0.9232903186073268,1.0606592973781197,0.9120346822696869,1.0086043368950668,1.0475004754411745,1.1213907413580653,1.192484947765773,1.3518547677783341,1.3942088042333134,1.3817767705670994,1.5321522703571937,1.7800431387569502,1.726655338680012,1.708552099024819,1.8951007154939181,2.0459770763406193,1.9989196999825467,2.079987301180267,2.300818673760076,2.2904179571420786,2.1325496621352467,1.9043041375105683,2.0814845749170203,1.7426969751448729,1.7362425659780374,1.7916788881431933,1.526187635143412,1.8524480840300965,1.480719959128015,1.9463727081010553,1.4941809666516783,1.3514532303476312,1.3336845777505841,1.2199050410275478,1.1360732751989773,1.1900627357690663,1.0942210320855927,1.1195791774845452,1.1868606555399475,1.0620194678163026,1.2992286577507384,1.19715242279133,1.180679232477357,1.2951914739284285,1.0987701156736867,1.0878349761800263,1.073721842037444,1.2959840469156578,1.3423669257929212,1.4799961861049407,1.4970733493979451,1.3608412103771046,1.530485723126479,1.6502366720589337,1.6556655378949854,1.7482080397325594,1.9264229514622704,2.0725174046979062,2.0498002806181717,2.016182572219321,2.1942742460824864,2.410417514507019,2.1603490180199154,2.092115729622214,1.9363411123688283,1.781378427541637,1.6803852495728488,1.5332891732821876,1.6226703473901296,1.6468464624461798,1.418780921565894,1.4106282791649336,1.4887510446198962,1.3387589086676253,1.2732743712366819,1.3670017162545363,1.4074089932355656,1.2378189416032612,1.2968167529095738,1.5082416351921615,1.4644047241175056,1.5715215830279892,1.7414798973500722,1.9070825077494338,1.8558967115108964,1.966784000774975,1.8574145322416218,2.050788849536932,2.122763032707302,1.7907687630540035,1.6790969140312748,1.4527755181047552,1.4096247434111553,1.4524012886482207,1.1964044968017868,1.3222357804832057,1.6607084484348902,1.7130402961650082,1.8355668293603913,1.9317557789989754,1.8247469387056494,1.8906327730082382,1.9835561187905346,1.93693403099148,2.0725163330112424,2.1575533374676,2.15688328545569,2.0095251372210594,2.691150673817947,3.5089475698620123],[2.8296855478140484,2.824901286856075,2.5946697814360373,2.3397127887258735,1.9977411042225024,2.6177891061224607,2.7283997712697468,3.193656937515816,3.51693811998275,3.669294915005931,4.113005493179467,4.141855161451915,3.841215906833422,4.130968825825714,4.1593898687901225,3.854700143714869,3.3351869580180056,3.0438302812015,2.406759674251884,2.353093368902825,2.3164371017588854,2.3004700613154148,2.5585486667271273,2.5798920323645036,2.3934488785418315,2.2898640215136132,1.9360876735960941,2.021825382050658,2.7563377097105257,3.241690921281225,3.604536235099447,3.639823643700822,3.8135777162247617,3.5496660107939313,3.3209378785742025,3.0303728865981148,3.0508794680124267,2.4587185716013913,2.0106836851129457,1.966616373312592,1.7534385688157426,2.123041210644117,2.203853098459516,2.1875632924654247,2.4365044055482277,2.7608295714634368,2.569101038599616,2.3455624486382716,2.6541030553256495,2.4596874810929505,2.0410291928001287,2.8743410299922014,2.869551147755457,2.0831464329297398,2.6167529693409666,2.8383595464783675,2.2653548576957605,2.6043027367314973,2.231611218990121,2.2066513475517464,2.154300044516153,2.417230736439064,2.602425828736416,2.431442752849977,2.318817926834993,2.436350116691727,2.4572198415293514,2.7282247525671113,2.668704415292642,3.224457156240512,2.912741178919438,2.6242779767780995,2.9280789496442217,2.6955420664649403,2.9820881409106508,2.8860532425907315,2.821132111649882,3.0157933564168733,2.8773973019836845,2.7179614918461543,2.7059219715660796,2.4390581958027266,2.730156025385378,2.3084881246413715,2.0853476856806537,2.4375621900172884,2.45759133137072,2.894778014848863,2.8085656409814934,3.205232926032635,3.2470608680840134,3.2055401116371076,3.488640238024955,3.752414052563728,3.936390439124409,4.078328781699871,4.2187199323890265,4.071306100295229,4.100044919616938,4.106071130690757,3.766699008925252,3.5634028761984666,3.233470231487251,2.953327352902506,2.456625810472419,2.3529937676127695,2.2970452043642506,1.9689419682014102,1.9378010832530752,2.292929575489703,2.2120685320732734,2.1663274415779914,2.560144187632852,2.0491387184973013,2.5980060701222647,1.6919776446922732,1.8402092457892103,0.9955359133648819,1.91669680225576,2.4984103203360184,2.346524843651633,3.0619851253160153,1.3964957336664838,2.0124885231905,2.386064079751516,1.6056737220626816,1.9745784275729577,1.6664416782635803,1.6224510071833065,1.6426287040173018,1.1619739954131436,1.252705493317784,1.0202482737716845,1.4000573814150263,1.0138178143602103,1.1061287075010462,0.9902910601592904,0.8730434191684199,0.975751688250185,0.9321147481742451,1.4191816825219408,1.924834419048764,1.5598314789567551,1.1249446311306244,1.4117839754291521,2.00297950155235,1.8853947200395786,2.517100524540925,2.580878847398035,3.0507115341742743,3.103496654676488,3.531577698325544,3.536067158055712,4.432818531353641,4.442862212108382,3.9040304186284125,3.7760273285441697,3.329228218739732,3.28919817943931,2.663415870358398,1.9279368147704399,2.1315034131383515,1.256844934365678,1.5448762375453577,1.1283986779045676,1.1379522913898164,0.9770563155662843,1.295753586474918,1.2596034657528385,1.2950081799996611,0.9021149628136941,0.831425943739404,1.100342927380039,1.5524040836344113,2.028760187368857,2.4030846249938342,2.7927267595539114,2.7765311379466686,2.3626215823032046,2.2335262775201494,1.98844425561555,1.7889003218386348,1.405968472254211,1.230640393820778,1.1396316713499164,1.4243397309984844,1.6534532405580127,1.5628746969044367,2.0272557741256985,1.47088648586551,1.5903007368017177,1.7328037414443989,1.329272192996511,1.0926777729339003,1.0250740383538421,1.3027578188440125,0.9938495502827512,1.0729665715994043,1.1254846559605933,1.4327005649571707,1.439828518194511,1.7759857563430343,1.7774828348740705,1.613520194326826,1.8245258658116976,2.144319690432295,1.9975211576862797,1.9945276128919223,2.286431093990528,2.462628083485795,2.3806530768643452,2.4891836670178287,2.7725765620900655,2.7760508109270154,2.563421984944177,2.2538560638359963,2.4868237453658164,2.0605101257051817,2.0148977156966406,2.0779999159032028,1.7466198217490785,2.057795410188605,1.6166923500931412,2.0865043622521577,1.6120754167552134,1.4857822871923827,1.5205815768811455,1.4353479427241127,1.243697626956074,1.2939157205932994,1.2847950713243537,1.222201686908441,1.2078699890820346,1.1239329401036482,1.4162738777174413,1.2650270320721584,1.1757237371974192,1.3178081065154825,1.1640886490289664,1.2740474486977194,1.2831864686843208,1.5954482895695374,1.80543433505481,2.0542072002587477,2.1488021892424305,1.862195220576054,2.0583950403269218,2.369135212251907,2.2882971683136577,2.1919895463829393,2.4526004380930315,2.662880196894917,2.5408253075763247,2.476591807487345,2.741953135566424,2.9368489923400016,2.612042869175218,2.5282466176727416,2.32809572539215,2.1436356679622226,2.0296846561361215,1.8374222576196986,1.915822157707903,1.936040099855171,1.6484364597418046,1.5989577110143072,1.6939641731975434,1.4905639219623565,1.375263698055931,1.505901341443456,1.5761312876382896,1.3133687334156767,1.375023752323053,1.7028851164129755,1.667500749194819,1.8086620237197724,2.036909838735045,2.230900588551476,2.1963429657652735,2.2968774163491767,2.1744192652255223,2.4584256815709913,2.4902738552341352,2.100656903990466,1.9454510778737175,1.6940270324098776,1.5675434523361054,1.6235471575406921,1.3754161491453365,1.5327163084166284,2.104680266437348,2.305888352129428,2.5730532687917136,3.0220087205846258,2.54437012152938,2.602295604596092,2.942692402902882,2.906279318797839,2.872613371117368,3.371464792661807,3.529011022102605,2.8332424995904164,3.4963116424322553,4.117500121189365]]},{"name":"Protease-ligand interaction","means":[[110.07867471893567,107.72405147308282,107.11362363189988,102.97627257935939,101.10008164024936,103.16076648317478,101.1411428193629,102.73341409549121,102.56156815933157,99.8575375971017,101.05475758016262,102.98103715683378,99.10543965532054,98.52094647087708,99.29688971802582,98.7348510018464,95.80462883541024,94.90211872826761,92.28021417773088,92.10701632303535,90.89402016787179,90.23758447171652,89.26006075742153,87.50330117393308,88.30853617396455,89.37868068983589,90.06161202364122,91.8721378116307,94.26390415933709,96.87407396038657,98.56472439483174,100.14901304227241,102.26598711998736,101.09747096432301,99.03194890136926,96.36290203973702,97.4448353488659,93.44699715366549,91.70733966858174,91.77733672998527,89.01513485178523,90.02208652043592,90.0616191473931,88.09491899732862,87.08716561997258,87.03934419399667,86.11074113580952,86.56448389684816,87.53053829157112,86.76019812537248,88.53478308525638,90.01945252786062,91.62219342463413,90.6580589985923,93.32365349362557,93.03412818198956,91.35752389471857,92.87260236486213,94.21098001475568,91.84698179905992,91.71504023704748,94.07334190415483,95.46502489988042,93.6610569320635,91.89323982552807,92.89373311339511,92.68998437307701,94.43947911415586,93.81875292616036,96.11586789107108,95.17943255289099,95.95214427045755,96.87596351093691,95.12385008669251,96.71027218146354,97.85650374187858,96.1574455562253,98.77973171992217,97.3501843467424,95.82142605494248,96.91268045234034,95.06214899073863,97.47944256701032,95.81838271646087,93.57400100119327,94.93206607071532,93.99843192341856,97.31506707988416,95.66140061325329,99.33785082196833,98.54621324964913,100.1052970606906,100.76069162014387,102.02130143380606,101.09005990769492,102.83943561071546,101.94057880095683,102.99682265602691,103.41629874748048,106.69246919175166,103.11231372118361,104.36217652915231,101.16576701085869,102.0011123017583,100.3627433477237,100.06050135424941,101.94356263928665,100.55852330979265,101.06401191919602,102.03387007281967,101.49668836816818,98.73636997471606,99.2362559163837,96.26310672615048,95.89381567198095,93.82380104511452,92.72898031721155,90.53654191878647,90.61022732315404,93.14287464205441,93.29267557131469,94.85275736189224,93.83075822246714,95.44825190713192,97.55108955853005,96.00094741420266,99.57747415987711,97.6856190093352,98.33033125009564,97.69924978689481,97.35417762205338,98.58132890929106,95.69018255711757,96.87492962207021,94.28711838888027,94.10913159914006,94.48135248161901,92.59515403766072,91.82970344561707,91.0653586877639,88.58032131470004,86.99749490765004,88.70332560978594,89.96918856497,89.9807793306792,92.67223931671768,93.03901995695249,95.77940570912247,97.4980754628563,99.71841062629238,102.22156345084146,104.30582391088066,107.16360245427612,109.65743014606257,107.96252831615026,105.85710717600139,102.95448424077213,102.6444625315902,99.97464348357906,99.19491240409346,95.24302050088738,94.1701171043066,91.09598932249303,91.32128935441804,89.34917370931346,88.00038131320522,89.41647291688419,88.24038644775354,90.11957908783833,89.78193045343451,91.1191692695726,90.86656709777002,91.80571730752114,93.41662044093387,94.8793237992758,97.6363783908419,97.71654226242087,99.52844353192839,96.17135683851315,97.22028052286996,93.84864338431797,96.5903816378898,95.38405238750103,94.19708572996556,92.56395331836562,91.05085973977015,90.20951683148468,89.2291119457453,87.07604059188796,88.51447143313655,89.04297239938805,90.42169102348703,91.51524715943188,92.91951912949465,94.98134348289426,96.65032466510814,95.99848039695983,98.71786186024171,100.61939426618095,101.421106926472,104.25194622096951,105.24196509421616,103.7370485433383,104.93662182039472,107.58066147569863,107.46536809685455,106.04777111807682,108.69432672238625,111.10753698865143,109.66633702463587,110.51616766770488,113.09799991955319,112.89426853707526,111.93217294635872,114.14130667197041,112.26947704459121,115.25145578740174,111.68179485526602,111.24191485470081,113.87659696914159,114.08670214542153,117.51255263529856,115.84700797616284,115.01620141034368,112.47316346706718,112.1905194388483,109.73756736126792,109.70820403352197,110.5148193277948,107.66104405462478,106.41793061629444,106.84192880297341,106.13136491016954,104.04988059677667,103.00046346740245,103.83708515058721,103.31512006480328,99.93103251843063,102.53746593667832,101.79010031278544,103.84052432971791,106.71707907788756,107.0200857589776,110.34849721720283,107.97381212650295,106.49485425477877,110.47035177086283,110.82998805113537,108.28129342142897,109.73661891101955,112.78368127463598,112.7749695127026,111.69115549249703,114.43142435959581,116.18728265029571,115.01998123235163,115.37809019933724,117.24253284270657,115.18373573805546,114.78193986907488,112.04394880205435,112.81080599444508,114.42542186067791,111.08541777700015,109.9052169732735,111.5396972378124,110.98297757013084,107.55084831258965,109.30353480057285,110.45225728420112,107.78220322330866,105.65980175373703,107.96198029940675,108.7440752488951,107.02872263741803,106.47504240495162,107.75057883967384,107.13425360849143,109.98231737947494,107.88572584950299,107.64155975730344,107.46999668353851,106.1832558627959,104.71195646887617,104.22278144887132,102.58474899601093,103.68747274534584,102.0453552993909,100.93893371399105,99.99378747816223,103.95791642340154,104.84138622792703,107.56329547432247,105.9207584313999,104.28175779112736,107.16368753524804,108.50704884144967,104.91714810621161,107.8746226616663,110.02254079782038,109.51335953709075,109.71326884438062,110.39491522933987,111.60964958334529,90.0652589683948,91.72350374502956,93.80809820121027,95.26432220443043,97.35012880177452,95.30370351186923,97.69890623930506,97.29578756682498,97.77534297534197,100.87072083328584,101.41412697692508,100.47094848529439,103.16464433494235,103.76140577554146,105.24793071956599,105.80103404121475,107.12489738610859,110.22874989679462,113.5698146290976,114.08067148194186,117.20447937571124,119.35666371153144,121.05515276793398,121.36487407314651,118.68629044744098,116.04894333590633,113.61637754609895,110.66944637939726,109.65940685294095,107.38764069091307,109.22088387624353,106.60629229042777,107.47152219189302,110.82273617589826,110.23453554393419,111.18109548908458,108.92841099989397,112.0126483680514,112.4348236605475,115.07348313643855,115.20406472573046,116.40731187316798,119.08723137926059,119.61238421770334,121.18197502187799,119.52588985753742,122.8554976758886,122.52238080378831,118.21857064697441,121.1644961279683,123.13009479734266,122.48966440605746,123.6197087763804,118.90312413289277,119.57586762300251,122.88143484511303,122.09738070787151,119.48994995340597,122.12234324378215,124.6042113275042,121.95645195112152,121.7953806826941,119.91792075615616,122.9043263481862,121.76300017702359,118.37321898420612,117.66120651668254,114.58589263749265,114.25942668452598,111.48101757436771,112.07860791801556,113.76496953567751,113.69534226761841,116.75894452831861,114.53706667384306,117.86292838708076,117.1356503582471,117.10534013683872,116.5185252880927,117.51673065221979,114.63658492197307,114.61618342102032,111.21514637487283,112.17878745814352,112.26742734522878,111.10393586481348,113.78240694814735,111.82273522722627,113.9698545908628,113.7258952835789,113.52509237161988,115.13034545596709,112.43052655803329,109.8522898667717,107.50503522002376,107.14117612574361,105.11633770409195,104.66324136405366,102.4434935000128,99.8404014395784,103.25640612282601,100.68427889899729,104.17472342229145,101.68315850349722,103.85612441744274,101.6307764198891,100.9651850530128,101.66629977028558,99.7377035057233,99.23181062315187,98.27404863956255,100.96441830757027,100.21302406183335,102.85194829124404,104.1529926223832,105.84648186324415,108.07527872228158,111.19265228126092,112.75895828400282,109.95478828557229,109.05898643277833,106.54964559378196,106.28987916773272,104.01624980347631,101.42433216796677,102.26127593019497,98.67644026323867,101.03038758528956,100.99793568765377,102.79207202870413,102.86475970676479,103.2941983631994,106.03934805794711,105.50524151509059,106.05854733078938,105.09552963735645,104.46201770367055,105.83380336086601,106.63364300324348,107.70489347855816,111.09387527682009,114.03277363123561,112.87959019695671,110.45976899702069,111.31040400687806,109.12045309616536,107.40194268980954,105.06209864889436,103.06876541027984,100.7559075999159,98.73345574781781,97.46083475841658,96.70311456939477,94.48173680101924,97.04712093249707,98.73827085778967,100.38884293978586,100.06731849592099,102.89729902440267,102.31628271366688,105.20613392411691,107.80920530744342,109.04721651928023,110.76796847544121,111.23242661557464,111.95920889889615,111.39767962335483,113.51676172083185,110.88395252495489,109.84197547557582,108.53996410360301,108.19581457925669,108.55119958240313,108.13436776443896,107.85802892138193,106.27633804842944,106.31926159388354,107.20458184633486,109.25613544905015,108.30536072709747,110.02936692391381,105.70032483462873,108.17611257560117,110.26108715623316,110.28421588370543,113.37215660938793,114.15103771171586,117.1743163372932,116.49733518377658,117.58269104631893,116.98294315617954,113.77518089125653,112.20430697166367,109.81264408072946,108.3593749642088,107.11273356669254,105.31694838427902,103.34495912653902,100.92438816092634,99.5053681761731,98.08423965236823,96.55013303485553,96.74560095225291,96.34180300513722,94.80082379937055,93.59583110089366,94.45092111126613,93.46989403188174,91.58509751134231,91.28450277581405,91.24656375758886,89.93750203146523,89.02543523706389,89.56398919441487,89.34062218609054,91.07906012635124,89.8529114920842,93.44583923199079,93.14888737780826,92.06594816922227,93.94319827333115,92.71556369938209,94.55820398913873,94.68122419989558,96.05569274513421,97.19471376145157,97.67461944847305,100.00698781568127,99.26390981990953,98.44062418771175,100.46088094571301,102.29171407091944,100.96433190312402,101.24190438914391,103.75985535055564,103.86937439831514,102.25139571495673,103.94047055882159,100.41120035044733,101.35472611246377,100.85578916725233,98.10158428884759,98.42345219191222,96.76514468170176,97.24075149931957,97.13852289216194,94.6778587947961,94.2611883760096,94.67746142130918,93.34288788952303,91.56679387485188,90.879262672903,90.92507254214775,90.36847557103437,89.02203940416446,88.4995704886848,88.98319943608169,88.99593606129609,90.3485667946211,91.58039924138761,93.18239020723789,94.28707357699462,92.70139611488528,93.15076821833553,95.38324390517066,95.20267043670331,94.45571493969658,96.51688041996387,97.84654411327688,97.0624020038201,96.9139200253343,99.22085226411046,99.8347522919342,98.93841581173486,98.57725264676029,97.32091494607006,98.77879251905033,97.90500351472679,95.33284671694938,94.89456609606754,94.17216346440844,93.17447083919365,94.76194833611805,96.04577197008516,97.71481322772973,98.56024822000614,97.43701549737105,97.58410797153839,99.02884305992508,99.00466593466953,94.83967585702082,94.93845181846063,92.98460784153087,93.8841194409598,94.10363740603412,91.09466160927653,90.95589137588813,93.73950786052366,91.45486157200618,89.27678374885838,90.24735547205414,92.05561456538392,94.12498081147173,95.1545746759908]],"stdvs":[[39.28748929796432,39.898679181692586,41.0063682057571,41.04212063064969,42.913101779376454,41.90752147189726,42.69062957542295,43.03426864772008,41.9520922274783,42.2659224540101,41.67198574070745,42.01737610123783,43.09094387225877,41.887831504287156,41.73540969306384,42.7038644616958,43.34385438464488,42.81843744656463,42.388162125968016,43.593621083376576,42.56939435035282,43.07154060146839,41.91406013194934,42.04016255877584,43.919048998795105,43.71428468676276,45.13211754192494,44.77322316929271,44.24005834978159,44.1898468823214,42.08732797725399,43.32603658511523,42.35892137348544,42.083564739337604,43.28023600943122,43.57248673345677,44.689432395696414,45.28480284318732,46.372817703722326,46.7202244497806,47.00976268262312,45.07103810792795,44.6033180514789,45.166549000255486,44.3602001683193,45.936905274049906,44.02196415946762,44.09467147746357,47.19658579283594,46.127443285813314,45.8187173183822,46.93753415207811,45.538397111100586,45.821168900121265,45.16028715712694,44.22591261748333,44.163838041316,44.06085771985467,43.32950561633726,42.782017663443696,42.7017400452321,41.60802970473127,41.40822676756746,40.23299193677656,41.405084680359955,42.44139772120314,41.25376820856865,41.72329309849402,40.82927193178471,40.66322137908379,40.195174471723774,38.83943843808367,39.33938317994537,39.30297009532084,40.551880777884676,39.71736627652534,41.35896386560178,41.0378593255065,42.35960291134482,43.15672497752739,44.48769035190415,45.64493472637492,46.08928767440255,46.895779160900865,47.27900352091511,46.263367946247854,45.160682708345476,44.64742167105075,43.434940017731776,42.32821890337737,41.506110309187406,40.03576977857567,40.32602589046503,40.8332638890637,41.346684271151844,40.271057097229324,40.72445237991047,41.92459328095629,42.40174951942315,42.6248916344756,43.73410963643444,44.61074792150294,45.32581559041802,45.83252112038148,47.13052379899113,46.43676111990389,46.572465489650604,46.53945518575398,45.61008571362309,45.746710110106406,44.83984189998285,45.45073847702031,44.35296546595503,44.87921167591561,43.97156698778252,44.22015816476974,44.14484647844594,44.041652024875894,42.68625453895625,42.723473067066614,42.11852401040284,42.38624254545278,42.65827186038403,43.029208596141245,42.982387403845465,44.32015013566134,43.95135905667873,45.17058111690232,45.51066798363324,46.57374965647031,45.97128802243505,46.45874480637583,46.99651427223178,47.397986121350236,47.1403242775232,46.723059545419865,45.542139951324366,45.59714701041473,44.909838394833415,46.35412904023796,45.591843596328545,46.40160872866595,45.841368975598996,46.37607046374379,47.01284572506871,45.958515817019894,45.84086522879239,45.306245444876986,45.45992559702154,44.28584406924209,44.3900379393177,43.24995667620563,43.55687685419735,42.06237868928129,42.198956037064754,43.32489804611785,43.637256058230435,44.62354649808713,44.78686550734994,45.899097532182395,46.74719928111236,46.61753083062714,47.50336732155102,47.88024307439363,48.35537753338041,48.05119994007569,47.864290188413435,46.81545206811201,46.195179453243156,46.416140039269514,46.980713399441115,47.36521679522272,48.03865333689651,47.93121452991084,47.40723451320154,46.9384991226734,45.990591859380864,46.33512690269828,47.005414159176034,47.28276437955225,47.81301372995575,47.61825897492961,48.101052310905814,48.125664922997466,48.316058918494676,48.342059985538924,48.00413993752627,47.81476698831185,47.91205294114951,47.99700368590856,47.568791657169946,48.640784484193226,47.661731019363636,47.315967489803725,46.98470510417279,46.15245960709841,45.383678345185146,45.33897577154963,44.57733145482007,45.01041707715008,44.59221047780435,44.845516394166935,44.513031168870604,43.72939951631198,43.89934548898336,43.735313657827795,42.79339133464975,42.76463968285761,43.262037112356836,42.44334457923409,41.8814464546989,41.952673386696645,42.019612428867525,41.23316415634327,40.96601807522831,41.229623235345535,41.14220904027187,40.81696207582264,41.70882886206821,41.88284832443764,42.20714711521336,41.723051042215225,42.542539272034396,43.743051831924646,44.14524075029388,44.79471500554467,45.250869275387544,45.179713392312436,44.383935811555936,44.34304231697462,44.958229305231534,44.27296483428875,43.778892219141596,44.308376520529215,44.53422267677855,43.3332098409082,43.12641049242102,44.33025394490949,44.141604080090055,45.4749973260639,45.51157504077654,45.29871654688186,45.96852327617863,46.09552177606569,46.21512958513968,45.60595458374134,45.21247894296965,45.53244617314016,45.2119995820196,44.577915751324326,44.5779596212281,44.2857147422335,43.73566466855273,43.869902762495826,43.710452267235425,43.035702373211365,42.8236766838728,43.09805644221649,43.01919162504668,43.79216539128046,44.31308545745587,44.31915632505265,43.40376040023395,43.21882678776038,43.905147310520256,43.13373459466613,42.6090833370832,43.12017903581151,43.04179034730876,42.00056204614988,42.06297956750282,42.69017778275239,42.03715003336456,41.23689404628781,41.25333998053363,41.135377308822974,40.14144493435234,39.78820564863426,40.00607626885268,40.2783490047523,41.37879723648286,41.50383024683417,40.54294747832187,41.21364976823931,40.88485876375795,41.87688855706846,42.74266511370455,43.39247582952442,44.37441918406431,44.30545087649414,42.954703670339626,43.749743787676984,43.260241382694865,43.392605405556814,43.10850922060411,42.04558754024886,42.07134060246312,42.44505336490173,41.22364608993304,40.80394747067875,41.07009238062347,42.96443451945498,42.97028757726883,43.206380818517346,46.09186036755531,45.09532023681504,43.33232162347978,44.08452052883651,41.98764143739423,42.78351804137988,41.80130395348312,40.73987611642816,41.413470285086,40.902367177585596,40.47554542560254,39.61083487700404,39.3368497297508,40.33544292320334,38.92606750393692,38.29830982929976,38.794027534461705,38.021673921405565,38.01277549829559,37.14123729976164,36.95694199425504,36.174581135782994,36.449342270463326,36.924293056102535,36.94385661902678,37.656591804993106,37.53751099908934,38.17741971569874,37.70586914794496,37.490018775195516,37.29924198898952,36.88913696437845,36.27938465810284,35.68318711068976,35.966680197263344,36.465339090589694,36.30894793164192,36.472486069246585,36.646503468237064,35.73010666136605,36.482004232956115,36.314449852862865,35.66710072657095,35.882022430267426,35.44550780782321,35.03324155966866,34.834208137672036,35.409370020126104,35.434425346783655,35.058445754394434,35.47751116457838,36.00492476234106,35.389586923045144,35.46868335561089,34.363092055827714,34.065171512636695,34.9137840878866,34.53739528597718,33.72669729470467,34.27308575293276,34.71399493510141,34.466553023668666,34.76765910551161,34.95030764066105,35.31720686126676,35.63380744665389,36.69682026766404,36.87488002677705,38.01615066492624,38.29512863905654,38.90827154206526,39.23328605890103,38.097943131429496,37.3857249026123,36.89930950990234,35.68901389231103,35.509947915879685,34.92570077540155,34.90168816694785,34.75982650002033,34.733800443758014,34.801515678727824,35.21805313031268,35.17629252487119,35.643148751418906,35.77219117713859,35.60889706925412,35.360766822935815,35.77718877530997,35.18044421315854,35.852077997068825,35.70282768018978,36.2611835852943,36.42635607761669,37.374880504965496,37.62988075057963,38.613519732866365,37.44929275797673,37.91987086734082,37.58233516346313,36.891621291856204,36.94940357902055,36.47911408834151,36.837925498490826,36.20019452196767,37.19230416181197,36.67871091052419,36.99276572164136,38.071116611339065,38.02473168166579,39.223403338316,38.94678906495778,40.02563613760505,39.90023707370114,40.00484737243705,40.20802646156686,39.49183003340552,40.35458020014836,39.11655104789021,39.1007999143272,40.10448653622242,40.562383980458335,41.17209265712818,41.268046644571406,41.520951099165764,40.75869644177349,40.788712392241365,39.627364857837186,38.98846720157903,37.74695275482283,38.073618616792004,36.92644687468209,36.8610339133819,36.563880679659974,37.61461462603817,38.618616816614725,39.42183629776615,39.80546693933933,40.236499012730754,39.12238676107166,39.279646028893474,38.52386029177734,38.56235895811904,38.69523069231801,37.70953636734843,37.879034172021576,38.58885344517592,38.56082188767515,38.5436822802206,39.41337659854496,38.90807108165935,39.51419716200866,38.43262850084128,39.32984884070768,38.608291511927995,37.9814713835383,38.3328300795759,37.95795030516088,37.76000697002717,37.689851444192236,37.88515273964843,37.30413132478241,37.91311157846076,36.832300599526924,37.11491745887298,37.954007423777114,37.415891479962085,37.58064726139376,38.13418298013775,38.754107510335864,38.305630936691934,38.502374099254794,37.48625872797687,36.90015061536416,36.55479816849727,36.319973466710174,36.6451634902235,35.67797692198188,35.754016427696726,35.59068602751937,35.94072931484538,36.56470382041784,35.80779512142157,35.468321934853435,36.041055496606894,35.54692913120708,35.996361459287634,35.19863445811857,35.12722057072049,35.80533501318963,35.696547996766,35.96157160732808,36.18558652889042,36.58242624880928,36.43848317560977,36.515164219005044,37.78021780247609,37.31623448152538,38.09700886285481,38.2331878293205,38.06506494526238,38.460280232436794,39.15941802524807,39.33629891613288,39.073763197974465,40.12814195458447,40.938145747561016,40.24180313509296,40.09716226520764,41.82467748352138,41.863282306557394,41.4777589519699,42.47348701367929,43.42122500097304,42.653141719452826,42.157934974793754,41.012191779614376,40.426796136791616,39.99208507861435,39.45359288331859,38.21703710600242,37.439408397567675,37.150306399312996,36.771720230981416,36.79883274104818,36.39457567431679,36.62218701142347,35.89348585381046,36.19394877444407,36.88346484493575,36.121680494203254,35.82775242274996,36.5346356978853,36.6314011288709,35.85851469654605,36.213902756995466,37.11798491859507,36.97428138592136,37.67001262916778,37.04686127667576,36.62375288227392,37.06551974212606,36.821220892678525,36.78181240378726,37.14136821022297,37.60632483487484,37.735628046399356,37.85658018336392,38.39745249086652,38.91419793752699,38.94753046927632,39.55080000520873,40.24270386482119,39.305758787166,39.65167166528444,41.03156762092266,40.45905957823031,39.47368528769982,39.342166553324674,38.40680855679792,38.20121276692166,37.44558341462024,38.01500262844851,38.99058081711665,37.81417235886999,37.71424738418085,38.5533630906764,38.3719076311882,37.17052618718679,37.793998615567354,38.829560197011844,37.84581765705139,37.19500054458331,38.06088689668836,38.75499135592355,39.937916006601256,39.48337401076655,40.72135025021023,40.691326194721626,41.89101428339726,41.41440814830409,42.69728743731055,42.91434600684093,41.756963917725784,41.00191773098845,40.396105434709135,39.80680532092387,40.29489931307918,39.23023747659767,40.0985473615918,40.860271297268646,39.73627021927055,39.45810917972018,39.06474762023106,40.734940335445664,41.34014222857721,41.249633826671065,41.67793211017765,43.120321520981506,43.03470331184949,42.62668814670568,42.072229475355456,41.25685306299392,40.997067967124124]]}]}