[4.152841E-05,3.5363442E-05,2.36752E-05,1.2730889E-05,5.9433573E-06,3.1970749E-06,2.3212594E-06,1.9348774E-06,1.5369E-06,1.2166497E-06,1.0119671E-06,9.355363E-07,9.569917E-07,1.0676438E-06,1.6142794E-06,4.6139853E-06,7.2306684E-05,0.00063589384,0.0027920005,0.008275091,0.01818425,0.0317511,0.045849588,0.056964338,0.06312438,0.064940095,0.06425237,0.06270435,0.061004255,0.059289023,0.057679687,0.05633625,0.05531615,0.054311182,0.052833546,0.05063192,0.04807392,0.046014544,0.045191627,0.04557158,0.046420485,0.046725202,0.046037655,0.04455498,0.043062594,0.042179767,0.042067856,0.042344183,0.042541552,0.042406272,0.041952807,0.04134966,0.04082797,0.040617432,0.040828034,0.041353356,0.04190508,0.042211253,0.04228386,0.042690303,0.0443138,0.04779424,0.052728657,0.057873696,0.061880182,0.06424273,0.06520108,0.065281056,0.0648694,0.064375766,0.064227454,0.064704806,0.06560397,0.0663928,0.06657175,0.0660603,0.0653547,0.065097354,0.06573702,0.0669086,0.0679631,0.0680894,0.06693509,0.06420512,0.06026238,0.05615465,0.053747777,0.0543806,0.0582725,0.06440622,0.07153172,0.07849573,0.08437996,0.08852122,0.09064475,0.090951055,0.08969583,0.0872913,0.08394692,0.079850495,0.07473935,0.06876941,0.06274208,0.05835065,0.056648728,0.057468493,0.05937429,0.061079834,0.06193321,0.06194967,0.061283186,0.060194675,0.05910385,0.058453005,0.058396522,0.05857998,0.058366198,0.05733776,0.055644248,0.05395211,0.052849773,0.052507628,0.052565113,0.052725393,0.05311349,0.054619823,0.058139015,0.06384676,0.070333295,0.07553316,0.07777927,0.07704952,0.07444637,0.07160082,0.069881886,0.07021084,0.072737515,0.07662711,0.080411114,0.08276299,0.08335245,0.08290387,0.08252063,0.08289894,0.083931096,0.08517665,0.086104356,0.08620765,0.08459497,0.080387324,0.07354426,0.06543331,0.05827284,0.053658754,0.051974144,0.052434225,0.054090407,0.05602388,0.0578977,0.05959511,0.061323073,0.06281396,0.06380453,0.06394475,0.06349858,0.062676705,0.061779644,0.060810003,0.0598522,0.058857817,0.05780113,0.05659687,0.055259895,0.053826213,0.052588087,0.05189869,0.05210541,0.05291306,0.053717982,0.053827647,0.053141724,0.051970754,0.0509063,0.05057138,0.05130184,0.053009495,0.05496475,0.056368727,0.056631684,0.055922423,0.05505295,0.05541679,0.05806282,0.06289915,0.06824163,0.071987756,0.07301735,0.07209913,0.07117394,0.07226633,0.07636017,0.08298569,0.09025138,0.09587363,0.098409235,0.09810931,0.096457176,0.094921805,0.09400221,0.09301595,0.091152005,0.08808625,0.08431328,0.08030764,0.076429866,0.07319424,0.07171101,0.07307488,0.07724164,0.08265587,0.087107174,0.08909371,0.08852255,0.086374104,0.08401242,0.082357764,0.08167043,0.08136684,0.08075145,0.07929609,0.07747715,0.07640725,0.077978484,0.08339333,0.092436284,0.10261595,0.110761605,0.11477465,0.11469709,0.11187875,0.10763105,0.10280869,0.0979291,0.093487196,0.08998077,0.088021815,0.088379644,0.09196863,0.09963543,0.11171031,0.1268935,0.14203481,0.15337707,0.15921696,0.1608191,0.16101402,0.1616763,0.16268204,0.16299994,0.16200711,0.16057326,0.1598903,0.16068201,0.16206938,0.16289152,0.16262515,0.16186143,0.1614495,0.1617427,0.16297282,0.16488151,0.16639704,0.1648816,0.15811086,0.14615236,0.13297382,0.12354686,0.12122945,0.12457756,0.12994091,0.13351955,0.13486803,0.1347642,0.13428096,0.13289966,0.13058126,0.12773792,0.12538762,0.12327091,0.1202183,0.11485476,0.10726487,0.09919087,0.093195565,0.0909897,0.09211097,0.09412921,0.09413553,0.09081268,0.085106075,0.079356916,0.0754914,0.074058734,0.07450306,0.0761469,0.07884682,0.08247065,0.086174875,0.08803042,0.08652266,0.081788905,0.07609791,0.07199267,0.07084624,0.07248157,0.076327644,0.08217991,0.089613914,0.09753081,0.104515195,0.11036753,0.11607894,0.1219967,0.12663327,0.12788917,0.1267394,0.12734401,0.13437007,0.14830513,0.16579616,0.1821601,0.19494833,0.2037462,0.20922,0.21180886,0.21196301,0.21027505,0.20747598,0.20409386,0.20015502,0.19533898,0.18944366,0.1829455,0.17693959,0.1724668,0.16973026,0.16824572,0.1672645,0.16663957,0.16635875,0.16662003,0.16694118,0.16661702,0.16458756,0.16048633,0.1547931,0.14888817,0.14418374,0.14149821,0.14070767,0.14075363,0.1403053,0.13874345,0.13720928,0.13775049,0.14149053,0.14704347,0.15182109,0.15452445,0.15639572,0.15955941,0.16441725,0.16926748,0.17215027,0.17328618,0.17461765,0.17790414,0.18232614,0.18541598,0.184844,0.18084012,0.17524165,0.17016388,0.16594422,0.16215532,0.15831053,0.15519907,0.15368801,0.15428172,0.15616943,0.15804106,0.15846193,0.15701304,0.1544479,0.15291774,0.15468574,0.16096325,0.17057127,0.18069099,0.1883179,0.19214666,0.19258003,0.19105084,0.1886959,0.18621056,0.18369837,0.18132572,0.17926162,0.17783558,0.17677581,0.17529012,0.17249507,0.1687404,0.16560657,0.16478212,0.1664895,0.16923201,0.17106755,0.17076974,0.16853546,0.16516644,0.16149886,0.15747635,0.15276358,0.14718217,0.14155394,0.13667804,0.1327216,0.12854646,0.12337935,0.11768493,0.11363051,0.11318589,0.11693174,0.12365615,0.13159823,0.13940205,0.14642982,0.15222041,0.15619254,0.15758197,0.15603866,0.15194856,0.1467386,0.14232822,0.14038365,0.14138682,0.14456777,0.14846705,0.15181851,0.15396602,0.15459092,0.15361424,0.15089415,0.14677764,0.14151864,0.13555922,0.12886997,0.12190062,0.115624465,0.11210521,0.113311745,0.11991047,0.13000463,0.14014727,0.14727473,0.15049554,0.15043563,0.14788155,0.14286225,0.1355127,0.12685283,0.11878931,0.112720765,0.10900841,0.10728207,0.108429424,0.114390135,0.12676272,0.14392503,0.16165257,0.17564456,0.18430562,0.18849616,0.1895477,0.18818389,0.18460202,0.17939578,0.17320704,0.16663732,0.15945423,0.15141122,0.14247072,0.13426282,0.12914537,0.12925553,0.13406795,0.14080507,0.14576562,0.14697987,0.14464541,0.14050758,0.13625719,0.1328737,0.13035369,0.1281476,0.1256146,0.12263314,0.11953813,0.11664301,0.113711976,0.11018145,0.10581785,0.10098057,0.09624045,0.09169328,0.087070405,0.082204975,0.07764373,0.07406083,0.071629435,0.06956452,0.067050196,0.06395995,0.061123908,0.059651364,0.06042644,0.06386753,0.06974655,0.077076055,0.084104545,0.08909135,0.0912712,0.0916452,0.09246897,0.095494926,0.100447655,0.105007015,0.10681814,0.1066505,0.1107314,0.13176815,0.18138659,0.26021484,0.34737158,0.4105489,0.42311275,0.38440558,0.31463,0.24190699,0.18349946,0.14501227,0.122650824,0.11156783,0.106573634,0.10443554,0.10261959,0.10060132,0.09897799,0.09984998,0.104707845,0.11354973,0.123307385,0.13063854,0.13592832,0.1476609,0.18091406,0.24459977,0.32985052,0.40525147,0.4383541,0.41452822,0.34999692,0.27453834,0.2158355,0.18360214,0.17299972,0.1693995,0.16074538,0.14276573,0.120714895,0.102151476,0.091593795,0.08845214,0.08962542,0.09186753,0.09292377,0.09235776,0.09231227,0.09724779,0.11183685,0.13714081,0.16882406,0.19824763,0.21789949,0.22504158,0.22212277,0.21328245,0.2018467,0.19026212,0.18050866,0.17439598,0.17285694,0.17621423,0.18398945,0.19478226,0.20668417,0.21776827,0.2263049,0.23029274,0.22810985,0.22023202,0.20938896,0.1996594,0.19469476,0.1983736,0.21285766,0.23612382,0.25909737,0.27045515,0.2630228,0.24102432,0.21881974,0.21796149,0.2527696,0.3207141,0.39421734,0.43987775,0.43636954,0.39147866,0.32804146,0.26975915,0.22650199,0.19829494,0.17980869,0.16663481,0.15575995,0.14631806,0.13930716,0.13864453,0.1491789,0.17242189,0.20215559,0.22674553,0.23698872,0.23212053,0.21813793,0.20169072,0.18688129,0.17638707,0.17227137,0.17460336,0.18007964,0.18390818,0.18305652,0.17843515,0.17398232,0.17401165,0.17982435,0.18861513,0.1950861,0.19511497,0.18821545,0.17711394,0.16548027,0.15570122,0.1487859,0.14526844,0.14524996,0.14733629,0.1504758,0.1586351,0.18498802,0.24127416,0.3247224,0.40757218,0.45616212,0.45077726,0.40192506,0.33505186,0.2740331,0.22734118,0.19330032,0.16746664,0.1482138,0.1354664,0.12814726,0.123421334,0.117994934,0.109739125,0.09843829,0.08546144,0.073347546,0.064194016,0.06030645,0.06580905,0.09045613,0.14502047,0.23105602,0.32899818,0.40464523,0.42865685,0.39746568,0.3329108,0.26616308,0.219289,0.19728571,0.19187313,0.1886273,0.17781192,0.15761162,0.13445045,0.11469684,0.10193312,0.09553003,0.09432921,0.097690344,0.10625267,0.12161434,0.14394827,0.17045511,0.19435406,0.20963357,0.21431185,0.21151394,0.2052178,0.19660844,0.1841404,0.16661908,0.14714922,0.13287121,0.13084127,0.14259861,0.16201337,0.1798055,0.18913573,0.1900643,0.18728156,0.1864596,0.1896965,0.19486956,0.19737045,0.19377255,0.1843617,0.17361838,0.16858311,0.17628741,0.19890255,0.23091573,0.25947928,0.27285853,0.26738834,0.2518836,0.24308555,0.2594234,0.30824885,0.37814093,0.43956375,0.46469405,0.44495046,0.39543748,0.33821893,0.28791785,0.2479373,0.21767087,0.19680797,0.1849943,0.18025155,0.18018597,0.18386056,0.19172221,0.20250587,0.21204565,0.21431279,0.2067579,0.19141036,0.17377327,0.1575764,0.14467628,0.13637097,0.13568561,0.14460875,0.16139866,0.18029325,0.19582766,0.20572586,0.21049096,0.21072477,0.20623396,0.1973815,0.18517025,0.17091171,0.15515876,0.1392466,0.12489656,0.11418877,0.10812097,0.108596705,0.11771918,0.13711184,0.1641515,0.195319,0.23005207,0.27405158,0.3306022,0.3908863,0.433369,0.43827686,0.40446964,0.34895793,0.2941146,0.2514589,0.22211857,0.2017693,0.18809468,0.17956205,0.17499514,0.17238253,0.16991991,0.16600631,0.1594274,0.1496802,0.13768893,0.12572391,0.11630663,0.11256298,0.12016946,0.15005164,0.21108319,0.29917946,0.38845626,0.44449794,0.4451171,0.39656386,0.3257335,0.26280048,0.2249194,0.21300435,0.21583875,0.21994345,0.21696381,0.20718598,0.19508387,0.18430984,0.1747538,0.16500936,0.15500385,0.14726974,0.14464274,0.14777979,0.15371005,0.15863748,0.1611924,0.16400234,0.17035936,0.18071558,0.19227244,0.2020349,0.20939676,0.21552747,0.22126435,0.2260709,0.22808737,0.22587448,0.21885626,0.20898657,0.19925004,0.19330025,0.19326551,0.20015706,0.21259622,0.22692205,0.23769619,0.24123518,0.23842461,0.2346002,0.23656833,0.24782066,0.2666982,0.28561258,0.2960868,0.29246834,0.27679786,0.25822762,0.252619,0.27499413,0.32941982,0.39887002,0.45223606,0.46310925,0.42865872,0.36745396,0.30392927,0.25285473,0.21750255,0.19533853,0.18287714,0.17626256,0.17061879,0.16248858,0.15265347,0.1468052,0.14964844,0.16005687,0.16981728,0.17139812,0.16275562,0.1490192,0.13653727,0.13050465,0.13267629,0.14269513,0.15694469,0.1710244,0.18167023,0.18980841,0.1984575,0.209242,0.21872519,0.21979046,0.20708041,0.18206942,0.15297557,0.12876184,0.113873474,0.10802549,0.10965962,0.118242204,0.13230723,0.14855896,0.16222446,0.17235897,0.18415217,0.21016322,0.26028094,0.33247507,0.40542197,0.45201406,0.4548502,0.41878983,0.36141142,0.30146772,0.249204,0.20864393,0.17987508,0.16138755,0.1502134,0.14309607,0.13740253,0.1315821,0.1251848,0.11853502,0.11228135,0.10678243,0.10189786,0.09761716,0.09670838,0.10674738,0.13903564,0.1977535,0.27132845,0.3315943,0.35355374,0.33071828,0.28029698,0.22596025,0.18506831,0.16106127,0.1493417,0.1413237,0.13116746,0.11724646,0.10294238,0.09195658,0.08604026,0.083853334,0.08337206,0.083031185,0.08248827,0.08189762,0.081567176,0.08146692,0.08137953,0.080974795,0.08015626,0.07910004,0.07821071,0.07773763,0.077642344,0.077737056,0.07802958,0.07869199,0.07959021,0.080103375,0.07935816,0.077008255,0.07334215,0.069238156,0.06571939,0.06395608,0.06485658,0.068680234,0.07449454,0.08041146,0.084293514,0.08560904,0.087183066,0.09554664,0.11724045,0.15302585,0.19449824,0.227413,0.23984869,0.22881298,0.20112772,0.16913682,0.14530331,0.13818108,0.1496075,0.1744837,0.20273383,0.22498773,0.23631257,0.23747183,0.23171194,0.2224661,0.21199186,0.20138176,0.19026567,0.17735921,0.16248208,0.14854497,0.14050142,0.14158328,0.1500864,0.16063552,0.1684113,0.17199592,0.1731082,0.1740114,0.17661177,0.18083127,0.18448325,0.18220603,0.16943896,0.14533639,0.116248034,0.09205347,0.082326405,0.08952431,0.10717261,0.12180451,0.1222172,0.10786321,0.08946136,0.08042539,0.087041795,0.10643792,0.13104165,0.15451036,0.1734249,0.18774311,0.20105676,0.22204502,0.26169667,0.32401702,0.39804766,0.4580554,0.48099002,0.4605079,0.4126706,0.36044958,0.321154,0.2983447,0.2882912,0.28475058,0.28404167,0.28400838,0.28515306,0.288137,0.29356098,0.29929677,0.3028742,0.3023589,0.2990475,0.29549435,0.29567182,0.30409813,0.32647258,0.3649622,0.41156515,0.4485543,0.45713672,0.43321478,0.3873767,0.3397113,0.3047441,0.28851616,0.2854356,0.28396916,0.27302444,0.24974222,0.2203836,0.19406115,0.17602807,0.16551995,0.1584882,0.15119179,0.14203633,0.13155411,0.12105105,0.112065755,0.10688192,0.10949092,0.12380015,0.15001768,0.18113418,0.20558126,0.21357305,0.20542097,0.19141264,0.18638784,0.19833732,0.22460909,0.2535241,0.27463877,0.2841525,0.28619456,0.28660092,0.28920877,0.29395005,0.2988715,0.3012555,0.2996868,0.2945191,0.28906083,0.28878215,0.30105722,0.33020493,0.37162718,0.40973637,0.42555103,0.41099682,0.37403667,0.3368334,0.3221581,0.34347978,0.39276257,0.4428676,0.4624603,0.43866745,0.38496408,0.3276169,0.28654137,0.26599786,0.26083842,0.2635497,0.26895428,0.2730151,0.27384964,0.2717903,0.27035633,0.27348027,0.2817923,0.2908037,0.293707,0.287765,0.27551973,0.2623355,0.25038972,0.23905283,0.22694732,0.21548575,0.20794564,0.2071122,0.21244083,0.21949732,0.22193913,0.21551257,0.20061326,0.18249677,0.16705437,0.15773432,0.15333134,0.15076298,0.14699535,0.14115988,0.1334551,0.12489728,0.11653697,0.10964927,0.10479906,0.10343137,0.11084666,0.1393993,0.2012995,0.29519656,0.3962214,0.46683264,0.48083082,0.4403433,0.37105393,0.3018392,0.24988031,0.21784054,0.20116128,0.19415118,0.19274907,0.19429012,0.19698428,0.19997525,0.20327729,0.2074392,0.21277829,0.21880637,0.22450185,0.22943397,0.23652197,0.25296465,0.28802443,0.34339085,0.40676165,0.45315906,0.46155453,0.4283135,0.37116528,0.31592968,0.2828388,0.2754813,0.28263512,0.28543007,0.272487,0.24517609,0.21592541,0.1956649,0.18912399,0.19487488,0.2091328,0.22623973,0.23771954,0.23649372,0.2209781,0.19824459,0.17872144,0.17036895,0.1747408,0.18820739,0.20581664,0.22300969,0.23750527,0.24841301,0.2574173,0.26718083,0.27967623,0.2934618,0.30328655,0.30408767,0.29435512,0.2794011,0.26701272,0.264712,0.2737342,0.2909857,0.30970296,0.32538366,0.33621612,0.34421578,0.35334074,0.36842048,0.3923564,0.4211822,0.44456902,0.45037472,0.4352293,0.407104,0.38261917,0.37789735,0.39860964,0.436247,0.46886596,0.47737613,0.4543564,0.41091165,0.36374474,0.3273281,0.30642292,0.2992256,0.30095485,0.30672613,0.31379065,0.32026133,0.32620177,0.3315191,0.3363773,0.33773386,0.33066106,0.30999494,0.2769318,0.23958492,0.21249914,0.20978047,0.24101484,0.3010121,0.36949536,0.41444632,0.4144129,0.36773822,0.29686406,0.22896022,0.18626253,0.17588441,0.19428594,0.228881,0.26475808,0.2886094,0.29560503,0.29206225,0.2949371,0.31830332,0.3609636,0.4009967,0.41332352,0.388087,0.3398333,0.29627284,0.28367648,0.3132126,0.37483528,0.43863356,0.47094953,0.4550434,0.40144953,0.33802307,0.28886032,0.2627827,0.2546344,0.25679994,0.26402417,0.273527,0.28141415,0.28423342,0.28132948,0.2764284,0.27351788,0.27446702,0.27679685,0.27798623,0.2771143,0.27975655,0.29465744,0.3294866,0.37805143,0.42228457,0.4402868,0.4274625,0.39469787,0.36176348,0.33865407,0.327701,0.323468,0.31985494,0.3095027,0.2892548,0.26160583,0.23347943,0.21090539,0.19614154,0.18886943,0.18786001,0.19188887,0.19860344,0.20502102,0.20809889,0.20683204,0.20326616,0.20177953,0.20603108,0.21483211,0.22263889,0.22330798,0.21648717,0.20822053,0.20715678,0.21702208,0.23390579,0.24898171,0.25626302,0.25636515,0.2550709,0.25721315,0.26405397,0.27390718,0.28490034,0.29532477,0.30332175,0.30684772,0.3058389,0.3045688,0.31122065,0.33288315,0.36607704,0.3961484,0.40352455,0.38120714,0.33754858,0.295418,0.27660713,0.29491207,0.34409907,0.3999739,0.4305295,0.41781592,0.36858663,0.30673543,0.2555969,0.22611517,0.21798688,0.22484864,0.23868175,0.2524909,0.26205114,0.26774788,0.27170396,0.27622327,0.2795061,0.27768835,0.26563397,0.24323829,0.2149818,0.18928711,0.17163385,0.16312814,0.16019619,0.15886784,0.15655942,0.1531527,0.14952101,0.14690082,0.14627218,0.14908804,0.15646131,0.16847579,0.18282801,0.19609804,0.20508875,0.20868875,0.20756769,0.2037764,0.19922571,0.1950351,0.1909039,0.18652855,0.18263118,0.18229409,0.19142209,0.21847826,0.27124622,0.34714556,0.4282708,0.4844507,0.49392724,0.4557738,0.39236334,0.33035162,0.28808835,0.2689958,0.26825535,0.2776668,0.28967035,0.29892388,0.30348957,0.30463096,0.3045951,0.30478778,0.3052766,0.30549166,0.30494446,0.30317345,0.30205908,0.30694854,0.32807592,0.37058106,0.42774776,0.47606435,0.49226782,0.46681312,0.41343653,0.3562319,0.31693783,0.30172464,0.30209127,0.30056468,0.2851741,0.2560366,0.22409612,0.19978972,0.18685417,0.18333292,0.1861649,0.19329484,0.20179482,0.20824401,0.21026194,0.20885879,0.20758204,0.20941909,0.21463358,0.22026749,0.22321385,0.22236715,0.21930663,0.21670036,0.21608527,0.21869908,0.22452296,0.23376419,0.24428411,0.25432262,0.26192042,0.2676047,0.2722218,0.27682927,0.28141236,0.28479895,0.28571102,0.2828243,0.27650854,0.26917446,0.2673166,0.2801198,0.31229004,0.35581112,0.39031646,0.39677647,0.3723763,0.3317306,0.2979559,0.28982422,0.31585142,0.3676485,0.42248222,0.4526312,0.44381154,0.40131307,0.3459778,0.2983459,0.27072713,0.26277077,0.2668675,0.27368176,0.27840346,0.2821857,0.28892446,0.30173472,0.31882343,0.33432177,0.33971933,0.33020145,0.30742836,0.27916336,0.25542364,0.2457317,0.26003358,0.30072364,0.35762897,0.40360454,0.41344658,0.37741444,0.30982408,0.23554033,0.17814226,0.15157454,0.15791805,0.18875338,0.22788899,0.260286,0.2787621,0.28793922,0.30046847,0.32759643,0.36822653,0.40586063,0.4180156,0.39369938,0.34005377,0.27781782,0.22532451,0.1918112,0.17533107,0.16951798,0.16747475,0.16544884,0.16302049,0.16278899,0.16785379,0.17927647,0.19370377,0.20523815,0.20822282,0.1999042,0.18090104,0.15562983,0.13294968,0.12308568,0.13213132,0.15665475,0.18510568,0.20423259,0.20638639,0.19295096,0.17273943,0.15732777,0.15455748,0.16497447,0.18210243,0.19833964,0.20913923,0.21460362,0.21608375,0.21451348,0.20977561,0.20226036,0.19283253,0.18263023,0.1718412,0.16034323,0.14841473,0.1383651,0.13248558,0.13089806,0.12998082,0.12635519,0.1199817,0.114837974,0.114592694,0.120744586,0.13216805,0.14742982,0.16414791,0.18028815,0.19369233,0.20396219,0.21096961,0.2153611,0.21721871,0.21677496,0.21406506,0.20995678,0.20628135,0.20494491,0.20697875,0.21207975,0.21998464,0.22975348,0.23979084,0.24674065,0.24812727,0.24261326,0.23160511,0.21756862,0.20475812,0.19670786,0.19483984,0.19672687,0.19866945,0.19861843,0.19701831,0.19486035,0.1919797,0.18809204,0.1844871,0.18338929,0.18617767,0.1912589,0.19615446,0.19854142,0.19808944,0.1943755,0.18728732,0.17726271,0.16715218,0.16041417,0.15847449,0.15868549,0.15668039,0.14968838,0.13877304,0.12740667,0.11918837,0.115511216,0.11523155,0.11627534,0.11841256,0.12450755,0.13721448,0.15381151,0.16532533,0.16281503,0.14646278,0.12632032,0.11583652,0.12180594,0.14243425,0.17003709,0.19696288,0.21804374,0.23081969,0.23460674,0.22975893,0.2187267,0.20570995,0.19628026,0.1944177,0.20099531,0.21245025,0.2228943,0.22760351,0.22654748,0.22404754,0.224631,0.22927535,0.23504753,0.23854655,0.23859312,0.23659383,0.2344897,0.23266666,0.22990869,0.22452152,0.21628658,0.20595498,0.19422458,0.18147711,0.16968042,0.16372345,0.16776349,0.18022151,0.19211204,0.19361307,0.18172236,0.16284728,0.14778067,0.14537896,0.1570185,0.17646839,0.19118328,0.19095106,0.17263876,0.1439048,0.11641482,0.10055807,0.1002182,0.11328884,0.1335913,0.15373717,0.16865522,0.17735203,0.18327524,0.19061725,0.20012774,0.2065237,0.20211078,0.18317558,0.15440463,0.12598391,0.10754319,0.10405147,0.11542642,0.13782214,0.16383027,0.18545307,0.19684722,0.19740033,0.18945338,0.17634179,0.1602465,0.14332473,0.12774159,0.11550263,0.107274495,0.10422326,0.111560374,0.14202516,0.20840691,0.31025648,0.42226085,0.5056215,0.5312441,0.49954167,0.43556455,0.36993745,0.32236144,0.29690382,0.2879013,0.28606936,0.28512174,0.2826837,0.28001657,0.2786292,0.28016376,0.28554043,0.29553846,0.30845037,0.3212173,0.33020544,0.33652186,0.3467605,0.3727931,0.4209014,0.4841117,0.53897834,0.5612797,0.5409215,0.49021673,0.4322038,0.38794944,0.36511505,0.35993084,0.36077443,0.35899016,0.35133886,0.3412672,0.33112344,0.32082462,0.30762538,0.2914921,0.27576315,0.26565075,0.26331672,0.26706776,0.27338135,0.28123644,0.29190895,0.30671683,0.3240405,0.34045163,0.35271537,0.36040393,0.36709997,0.38085923,0.41074744,0.4581379,0.51045185,0.54436535,0.54163855,0.50126797,0.4401845,0.3806053,0.33853996,0.31838393,0.31535718,0.32032385,0.32570973,0.32802507,0.32860687,0.33054796,0.33758757,0.3501567,0.36542872,0.37637126,0.37781128,0.36819756,0.35339928,0.344069,0.35528362,0.3963091,0.46183065,0.52609295,0.5576985,0.5383871,0.4759387,0.39542142,0.32362184,0.27574798,0.253669,0.24989438,0.25471207,0.26095393,0.26704606,0.27543035,0.29008234,0.3110243,0.33295405,0.34636942,0.34476575,0.32811284,0.30278894,0.27602324,0.252692,0.23430634,0.22107042,0.21250205,0.20832963,0.20712097,0.20717247,0.20680077,0.20669796,0.2094325,0.21756743,0.23120785,0.24709515,0.2604747,0.26684028,0.2650996,0.25811428,0.25163406,0.2489507,0.24877523,0.2461936,0.23849998,0.22618686,0.21457092,0.212417,0.23399484,0.28822225,0.36887658,0.44781646,0.4958229,0.50096494,0.4778858,0.44668427,0.41918078,0.3937706,0.36933473,0.3481628,0.3349553,0.32909712,0.32649755,0.32265553,0.31720725,0.31288794,0.31312403,0.3185035,0.32640854,0.33278608,0.3361809,0.3409915,0.35790086,0.3987299,0.4648079,0.5382473,0.58622307,0.5815993,0.5240793,0.44181728,0.3733709,0.34126854,0.34324884,0.358389,0.367118,0.3617666,0.34793797,0.3346077,0.32688496,0.32403782,0.3225354,0.31941772,0.31374025,0.30664507,0.3000654,0.2954819,0.29326782,0.29265305,0.29203537,0.2892908,0.28328097,0.27516946,0.267836,0.26591226,0.27527264,0.30563942,0.3635474,0.44509378,0.52799934,0.5824597,0.58711743,0.5421639,0.46681237,0.38589546,0.31925347,0.27437812,0.25018653,0.24008763,0.23849572,0.24139969,0.24761581,0.25787318,0.27367386,0.2940177,0.31296682,0.32235345,0.3172792,0.30117702,0.2849536,0.2846856,0.3153112,0.38321793,0.47644505,0.56574905,0.6174968,0.61357707,0.56023294,0.48145154,0.40400043,0.34541413,0.31109926,0.29624134,0.29176852,0.28939757,0.28641275,0.2859405,0.29322863,0.30975744,0.32991537,0.3440229,0.3440957,0.3284956,0.3014643,0.27121893,0.24603818,0.23027815,0.2209192,0.21033151,0.19334991,0.17197005,0.15284364,0.14152694,0.14065327,0.15182857,0.17583062,0.20957123,0.24417658,0.26921305,0.2797573,0.2792012,0.2753018,0.27234304,0.2685934,0.25801873,0.23741215,0.20858033,0.17944281,0.16157971,0.17011623,0.21929662,0.3110186,0.426531,0.5288504,0.5852848,0.58331674,0.5366234,0.469998,0.40729758,0.36118618,0.33381572,0.32003248,0.3137121,0.31119213,0.3115872,0.3148583,0.3207346,0.32817492,0.33554342,0.34034383,0.3407589,0.33694133,0.33304444,0.33677864,0.3586422,0.40548286,0.47355404,0.54343134,0.58929676,0.59375095,0.56021553,0.50822043,0.46119067,0.432351,0.42156085,0.4177346,0.40922594,0.3902997,0.3644129,0.33915138,0.32104984,0.31203225,0.3098029,0.3109448,0.31327605,0.31708422,0.3227582,0.33000275,0.3377345,0.3464407,0.3569944,0.36971474,0.38305688,0.39574566,0.40727332,0.41847762,0.4316732,0.45177925,0.48275557,0.52152675,0.55390656,0.5616921,0.53430283,0.47710225,0.40791926,0.34686077,0.306133,0.28620028,0.27904665,0.27540377,0.27028427,0.2644658,0.26199684,0.2673312,0.28168893,0.30088755,0.31627628,0.32002977,0.3109635,0.29589394,0.28748524,0.3005266,0.34575632,0.42128718,0.5062577,0.56897765,0.5845652,0.5507328,0.48641133,0.41768685,0.36404228,0.33203778,0.31941935,0.3193256,0.3258864,0.3344364,0.34253013,0.34876403,0.3520707,0.35061982,0.34121993,0.3217235,0.29291084,0.25970832,0.22858,0.20470522,0.1900299,0.18333131,0.18169487,0.18219036,0.18375458,0.18714269,0.19405997,0.20501818,0.21995723,0.23850478,0.2614763,0.28795597,0.31447318,0.33444726,0.34354174,0.34215757,0.3356148,0.32843754,0.32238555,0.31645057,0.3111613,0.30727926,0.30682752,0.31267527,0.33451256,0.38328925,0.46169552,0.5500632,0.6141744,0.6243729,0.57760227,0.49688768,0.41559252,0.35726643,0.3274045,0.31746057,0.31466708,0.3104734,0.3027403,0.29418084,0.28813705,0.28628525,0.28756633,0.2895703,0.29030117,0.28923854,0.28779444,0.2899517,0.30426767,0.34270766,0.4122151,0.5024989,0.5832551,0.6191949,0.59400386,0.5219839,0.4385582,0.3771206,0.3507332,0.34980464,0.35312167,0.34560546,0.32530555,0.3017349,0.28377202,0.27495947,0.27243352,0.2724922,0.27260783,0.2726486,0.27340516,0.2760476,0.2814205,0.2900382,0.30031824,0.3088592,0.31117317,0.30659202,0.2980605,0.2923269,0.29684845,0.32184982,0.3751169,0.4532574,0.532122,0.57577205,0.5590057,0.4870484,0.39239895,0.31252688,0.2689066,0.26094556,0.27465573,0.2939739,0.30829343,0.31458637,0.3157723,0.31700847,0.32136,0.3273656,0.33024606,0.32546532,0.31254205,0.29605448,0.2861985,0.2967461,0.34015322,0.41521588,0.5007828,0.5607758,0.5676238,0.5179679,0.43534374,0.35084793,0.28782588,0.25259048,0.23998414,0.23986797,0.24418955,0.24874926,0.25414157,0.26418093,0.2832031,0.309953,0.33494854,0.34383988,0.32806477,0.290994,0.2478896,0.21847326,0.221897,0.26603886,0.34037197,0.41256657,0.44859377,0.43344474,0.38377059,0.33149478,0.30457413,0.30987608,0.33530724,0.35625044,0.3530564,0.32040808,0.27225545,0.23040277,0.21503866,0.23347826,0.27761656,0.3242552,0.34799907,0.33585897,0.29634774,0.25376377,0.23611748,0.26223624,0.3309718,0.41570702,0.47462472,0.47612485,0.4214643,0.34214655,0.27479896,0.23780161,0.22746372,0.23092853,0.23778866,0.24388056,0.24855137,0.25194874,0.2541739,0.25499246,0.2546891,0.25386247,0.2536647,0.2545441,0.25602016,0.25896284,0.26954165,0.3007803,0.36190847,0.4449109,0.5189276,0.54863507,0.51903015,0.44621193,0.364154,0.3000705,0.26201656,0.23938864,0.21689008,0.18506353,0.1461123,0.10884962,0.08131667,0.06592078,0.060640275,0.06215659,0.06767487,0.074896224,0.0823814,0.090138465,0.10029363,0.11539068,0.13679457,0.16197835,0.18573274,0.20145942,0.20546304,0.1974814,0.18117703,0.1614806,0.14400922,0.13361911,0.13455582,0.14819519,0.17234628,0.20012365,0.22378509,0.237433,0.2399963,0.23311198,0.21968602,0.20216155,0.18292193,0.16447893,0.1507837,0.14777756,0.16187073,0.19288753,0.2307967,0.2579527,0.26279417,0.24533619,0.21825546,0.19813935,0.20421319,0.2500303,0.33349505,0.42779693,0.4943285,0.50814134,0.4741274,0.4185778,0.367193,0.3314291,0.3096422,0.29568195,0.28548554,0.2777137,0.27265802,0.27091002,0.27341175,0.27979267,0.28597608,0.28508565,0.2724756,0.25073355,0.2275911,0.20942779,0.19670002,0.18643083,0.17708701,0.17023624,0.16794361,0.1693628,0.17126192,0.17045784,0.16735905,0.16567822,0.16999708,0.1813793,0.19585718,0.20697062,0.209985,0.20461594,0.19365929,0.18156882,0.17285867,0.1715172,0.17810096,0.1883406,0.19432878,0.19281894,0.19200431,0.212547,0.27169535,0.36601982,0.46497548,0.52916026,0.53657293,0.4938568,0.4283478,0.3667918,0.3251895,0.30487058,0.29960927,0.30040574,0.30082726,0.29813287,0.292605,0.28565276,0.27802682,0.269439,0.25926283,0.24773122,0.23606808,0.22668569,0.22445361,0.23884778,0.28106043,0.35470787,0.4445754,0.5195575,0.54793185,0.5204187,0.45262265,0.37644586,0.31569633,0.27851304,0.25462857,0.23038389,0.19739966,0.15887335,0.12435433,0.10346388,0.101298235,0.116602756,0.1423419,0.16809034,0.18602143,0.19526404,0.20105958,0.20828964,0.21647795,0.22104256,0.21863902,0.21078521,0.20142125,0.19241329,0.18123382,0.16459285,0.1435218,0.12574764,0.12070507,0.13262686,0.1562375,0.18109243,0.19827266,0.20544088,0.20525022,0.20176218,0.19710244,0.19122487,0.18289743,0.17195223,0.16006033,0.15179642,0.1525526,0.16753565,0.19544338,0.22855353,0.25271633,0.25946093,0.24887842,0.23393345,0.23192827,0.26108944,0.32619438,0.41129807,0.48009667,0.49998283,0.4643291,0.3961585,0.32785907,0.27981508,0.2559401,0.25015742,0.2549188,0.2634044,0.2712411,0.2775526,0.2841419,0.2932736,0.30306056,0.30759707,0.2985272,0.27253768,0.2336135,0.19228101,0.15792315,0.1355332,0.12586617,0.12864065,0.14210588,0.16130035,0.17886554,0.18965866,0.19422925,0.19692491,0.20079269,0.20460504,0.20489156,0.19893856,0.18630773,0.167737,0.14521106,0.12221542,0.103788346,0.09473429,0.098185785,0.11405743,0.13891412,0.16617121,0.19170249,0.21880524,0.25949323,0.3222222,0.3992866,0.46631113,0.49963117,0.49470147,0.4646978,0.42727497,0.39088926,0.3578429,0.32889366,0.30658045,0.2920241,0.28363132,0.27856758,0.2744499,0.27120742,0.26973546,0.27151453,0.2763544,0.2830294,0.28906485,0.29442072,0.30338058,0.32636043,0.3713216,0.43379894,0.49043402,0.5132973,0.48923996,0.43204117,0.3691661,0.32359275,0.3005618,0.29203135,0.28455162,0.26897925,0.24436225,0.21699099,0.19473712,0.18103987,0.17431688,0.17035598,0.16620393,0.16158022,0.15812801,0.15674675,0.15566258,0.15183268,0.14508711,0.13931517,0.1400625,0.1487691,0.1626022,0.17609234,0.1860559,0.19159128,0.19424792,0.1954519,0.19613254,0.19581497,0.19405879,0.19116318,0.18881188,0.18846162,0.19068794,0.194129,0.19643362,0.19402939,0.18436106,0.16722997,0.14729474,0.13263558,0.1323477,0.15064448,0.18332703,0.21723402,0.23762052,0.23639046,0.21813136,0.1987276,0.20157593,0.24626116,0.33528182,0.4429578,0.52739185,0.55526274,0.5250432,0.46188334,0.39731964,0.3493016,0.3205394,0.30559763,0.2985545,0.29460898,0.28987375,0.28214327,0.27211952,0.2629687,0.2559701,0.24786411,0.23213725,0.20564403,0.17144449,0.13759534,0.11159254,0.09895354,0.10132214,0.11691487,0.13859366,0.15792233,0.16856496,0.1707957,0.16900901,0.16868459,0.1720143,0.17749862,0.1809175,0.1785218,0.16948204,0.15691854,0.14599662,0.14128226,0.14417134,0.15318406,0.16468976,0.17545988,0.18288033,0.18767183,0.19520086,0.21745688,0.26519755,0.33712086,0.41306877,0.46465528,0.47366878,0.44272757,0.3899881,0.3360658,0.29541573,0.27365497,0.26898703,0.27472702,0.28359365,0.29050514,0.29380715,0.293854,0.292693,0.29322422,0.29881594,0.31107607,0.32817927,0.34519282,0.3581903,0.36917448,0.38607612,0.41472647,0.4493822,0.4724851,0.46749473,0.43295932,0.38447368,0.3423109,0.3180364,0.3089564,0.30426255,0.2923198,0.2689877,0.23719986,0.2053123,0.18035822,0.16670513,0.16488473,0.17244305,0.18312143,0.18756461,0.17793518,0.15263472,0.11961171,0.09116728,0.077456,0.07885689,0.08740307,0.09198301,0.08731276,0.07629534,0.06703653,0.065971084,0.075100414,0.092776395,0.11609453,0.14098082,0.163025,0.17856698,0.18705149,0.18997462,0.19005996,0.18850642,0.18600832,0.18203376,0.17768623,0.17417796,0.17327015,0.17407101,0.17485298,0.17308064,0.16731799,0.15538444,0.13617565,0.111031495,0.08668384,0.07191342,0.07412272,0.09374398,0.12521106,0.15807605,0.18383993,0.19779569,0.2013451,0.19730885,0.18923046,0.17905988,0.16878735,0.15873255,0.1483588,0.13638227,0.12275522,0.10880738,0.09762282,0.09339256,0.09952781,0.1157765,0.13685757,0.1554882,0.16596685,0.1665454,0.15797761,0.14319633,0.12695877,0.11552847,0.113689356,0.12188554,0.13639294,0.15234482,0.16714631,0.18007016,0.19075833,0.19813798,0.20207669,0.20370501,0.2036405,0.19977444,0.18827891,0.16812404,0.14446424,0.12713265,0.12400389,0.13528143,0.15313195,0.17051314,0.18962759,0.2259746,0.29441577,0.39420462,0.49903813,0.57214475,0.58835614,0.549005,0.47822416,0.40426835,0.34757593,0.31265298,0.29552174,0.2876947,0.28390387,0.28145778,0.28081504,0.28285202,0.2883605,0.29657856,0.30568632,0.3133699,0.31833354,0.32170272,0.3276793,0.34340194,0.3733714,0.41396224,0.4493929,0.46163723,0.44206885,0.40073052,0.3576938,0.33062652,0.3235121,0.32740816,0.327474,0.31240806,0.2816396,0.24414802,0.21274124,0.19516958,0.1925031,0.200028,0.21154271,0.22029291,0.22137511,0.21269841,0.19685066,0.17957763,0.16775078,0.16594584,0.17506218,0.19199437,0.21168877,0.22936289,0.24233277,0.25057206,0.2564945,0.26464188,0.27871156,0.2990034,0.31988645,0.3343058,0.33795002,0.33366075,0.3278724,0.32666948,0.33135486,0.33912525,0.34590027,0.34926915,0.35061347,0.3549175,0.37118813,0.40670297,0.45892724,0.508573,0.52905,0.50560564,0.44938314,0.39077544,0.36029637,0.37319842,0.42500865,0.4941829,0.5509584,0.5695463,0.5434324,0.48527014,0.420128,0.36748388,0.3375286,0.32808283,0.3328302,0.3430313,0.3528405,0.35937905,0.36351302,0.36699495,0.3684875,0.3621324,0.3397813,0.29925507,0.24713452,0.19711699,0.16056754,0.14282317,0.14226818,0.15381162,0.16948855,0.18071252,0.18144482,0.17221455,0.15960795,0.1527429,0.15743351,0.17401707,0.1965063,0.21693367,0.227983,0.22732626,0.21702099,0.20373963,0.19447248,0.19308235,0.19686379,0.19902878,0.19404459,0.18286318,0.17501597,0.18695313,0.23542702,0.32527533,0.43940434,0.54314405,0.6020422,0.6021533,0.5529373,0.4798369,0.40834367,0.35696062,0.33081594,0.32488394,0.32798687,0.33056393,0.32817978,0.3220211,0.3165768,0.3155879,0.31947064,0.3244114,0.32573187,0.32078055,0.312443,0.30968156,0.32592437,0.3698101,0.43353167,0.4910387,0.51256716,0.48825562,0.4339881,0.37944102,0.34513792,0.33337426,0.33165893,0.32355496,0.3002709,0.2634345,0.22412758,0.1926082,0.17480266,0.17069621,0.1776644,0.19098443,0.20439078,0.2131672,0.21634305,0.21727818,0.2195304,0.2247325,0.23158889,0.23782001,0.24079804,0.23865835,0.2309535,0.22018616,0.21238373,0.2153012,0.23360069,0.26457858,0.29827502,0.324034,0.33660802,0.33847985,0.33606818,0.3357515,0.34120986,0.35187224,0.363807,0.37099078,0.37047175,0.36398426,0.36004165,0.36942038,0.39847612,0.43960407,0.47167578,0.47352886,0.44132614,0.3935293,0.35791078,0.35540357,0.3888091,0.44298092,0.48966858,0.5025467,0.4715519,0.4091529,0.34011117,0.2860938,0.25699458,0.25179356,0.26351252,0.28294536,0.30166805,0.31461605,0.32150587,0.32587802,0.3313861,0.33787942,0.34038773,0.3331464,0.31522945,0.29203382,0.2737799,0.27180064,0.29696217,0.3500465,0.41541877,0.46136025,0.46189192,0.41486093,0.34471437,0.28212342,0.24455895,0.2310961,0.23080425,0.23348731,0.23459412,0.23412229,0.23563822,0.24473809,0.27067113,0.3172994,0.37657225,0.42414486,0.43760142,0.4120512,0.36744425,0.33322504,0.33414578,0.37933704,0.45953146,0.54682755,0.60589856,0.6125624,0.5675289,0.4933051,0.41902706,0.36636028,0.34300625,0.34358856,0.35521686,0.3653662,0.36806533,0.36472285,0.3600353,0.35713276,0.35540494,0.35186648,0.34407088,0.33208135,0.31866524,0.3097521,0.31392318,0.3409778,0.39217207,0.45454565,0.5013247,0.50949436,0.47370398,0.41036555,0.3456713,0.30053237,0.28087378,0.2771363,0.27277124,0.256932,0.23002721,0.20162658,0.18039888,0.17083292,0.17201722,0.18082105,0.19209303,0.20119739,0.20565633,0.20652105,0.20694984,0.21075194,0.22034125,0.23480415,0.24902265,0.256278,0.25337014,0.2427576,0.23080839,0.22285797,0.2222988,0.22972925,0.24452949,0.2632196,0.282022,0.29764387,0.31003645,0.3205291,0.33100972,0.34161732,0.35071793,0.3559288,0.3561516,0.35328794,0.35273483,0.36277887,0.39153764,0.43756273,0.48488024,0.5068455,0.48745823,0.43321165,0.37224993,0.33452663,0.34017292,0.39127252,0.47165656,0.54902214,0.589011,0.5751517,0.51655227,0.44108093,0.374274,0.33017206,0.3074399,0.29953933,0.2991642,0.3035315,0.3116748,0.32380405,0.33878088,0.35328665,0.36100873,0.35546097,0.3353348,0.30628955,0.27711537,0.25262114,0.23240365,0.21430992,0.19847143,0.18644677,0.17833549,0.17181797,0.16415872,0.1552123,0.14844646,0.1494286,0.1618953,0.18461858,0.21109061,0.23356144,0.24688542,0.25078517,0.24779646,0.2419272,0.23646337,0.23393045,0.23448224,0.23663773,0.23790246,0.23959804,0.24940169,0.28182235,0.34678552,0.43844733,0.5308573,0.5920287,0.6029081,0.5662623,0.50295514,0.43785107,0.39085433,0.36834595,0.3653885,0.3702592,0.37349054,0.37096235,0.3637586,0.35528865,0.34911487,0.3470488,0.3479321,0.34854844,0.34566775,0.33842412,0.3284584,0.31931254,0.31486082,0.31788656,0.32834816,0.34306586,0.35722658,0.36688235,0.3707091,0.36965403,0.3658838,0.36049333,0.3536985,0.34494212,0.33513734,0.3255771,0.31789148,0.31310928,0.3127364,0.31751308,0.32585633,0.33361414,0.3369101,0.3352246,0.33143738,0.32912216,0.33013627,0.3338777,0.3389747,0.34402657,0.34872475,0.35263816,0.3556312,0.35732403,0.35809168,0.35845137,0.35923922,0.36097252,0.36392346,0.36737135,0.3700322,0.37018338,0.366773,0.3584456,0.34439406,0.32443887,0.30139348,0.27920187,0.26073322,0.24507506,0.22988816,0.21519758,0.20400715,0.19919805,0.19912624,0.1993124,0.19572116,0.18899083,0.18283045,0.18217629,0.1893955,0.20379056,0.22116971,0.2365277,0.24594323,0.24846418,0.24541296,0.23909295,0.23079674,0.22130704,0.21185572,0.20575118,0.20510738,0.20840149,0.20954807,0.20366816,0.19105141,0.17718284,0.16746615,0.16338217,0.16246592,0.16157798,0.16005619,0.1612101,0.16963542,0.18722154,0.20849097,0.22314619,0.22174843,0.20405684,0.17926735,0.16079648,0.15701413,0.16719444,0.18373804,0.19818126,0.20629294,0.20819937,0.20698698,0.20461874,0.20207584,0.1985553,0.19498019,0.19272304,0.19378905,0.19758843,0.20219524,0.20528643,0.20662005,0.20749934,0.20966451,0.21325117,0.21670538,0.2172187,0.21306704,0.20441848,0.19377734,0.18385369,0.1765187,0.17181028,0.16837414,0.16311538,0.15343793,0.1399245,0.12930442,0.12916972,0.141447,0.15715374,0.1640308,0.15519981,0.13552587,0.11607531,0.107674025,0.114480674,0.13311586,0.1531113,0.16168952,0.15090011,0.12305921,0.0902293,0.066454045,0.0612966,0.07617834,0.10716208,0.14683892,0.18743451,0.22152372,0.24435644,0.2540801,0.25172094,0.23870961,0.21630006,0.18596154,0.15178978,0.12009955,0.09757467,0.08844077,0.09339276,0.1093775,0.13017806,0.14898512,0.1612584,0.16582255,0.16254497,0.15077798,0.13061093,0.10539637,0.081194215,0.0632828,0.05316053,0.049905915,0.056099266,0.08326364,0.14971463,0.26485562,0.41311052,0.5523746,0.6379687,0.6497565,0.60067296,0.52212423,0.44212595,0.37802592,0.3351859,0.31324425,0.30606684,0.30650187,0.3087456,0.3104341,0.3123953,0.31516585,0.318802,0.3215691,0.3230482,0.32381988,0.32641652,0.335696,0.3603724,0.40891743,0.479463,0.5522942,0.5983003,0.5980393,0.5567747,0.49810055,0.447662,0.41658232,0.40053654,0.38595882,0.36280635,0.33015808,0.2959702,0.26874617,0.25233388,0.2448908,0.24312079,0.24481826,0.24975435,0.25763357,0.26700357,0.27508232,0.27992344,0.28209326,0.28380945,0.2868175,0.29018286,0.2924703,0.29297236,0.2952822,0.306826,0.33958176,0.40023503,0.48145285,0.5558993,0.5917916,0.5721335,0.50775504,0.42731595,0.35910872,0.3161689,0.2955378,0.28622186,0.27950248,0.27298737,0.2692109,0.27033004,0.27604342,0.28349927,0.28956845,0.29188225,0.28997484,0.28516307,0.28091794,0.28421476,0.30660224,0.35948953,0.44230005,0.53408486,0.6007133,0.6162734,0.5790244,0.5091313,0.43227246,0.36688912,0.32086405,0.29488313,0.28504398,0.28493297,0.2882935,0.29193142,0.2973859,0.30775896,0.32264563,0.33466697,0.33370185,0.31497034,0.2833244,0.24950309,0.22243728,0.20516895,0.19572604,0.19021563,0.1856646,0.18164758,0.18044883,0.18475263,0.19480328,0.20853384,0.22384225,0.24107032,0.2605867,0.28108892,0.29875922,0.3114253,0.31941178,0.32493684,0.32863215,0.3295055,0.32662296,0.32084796,0.3145419,0.31071028,0.3147614,0.33675715,0.38672194,0.4630436,0.54207355,0.5887349,0.5795037,0.5228744,0.44984448,0.39096725,0.35617343,0.3392826,0.3305645,0.3263821,0.32656702,0.3300116,0.33350682,0.33476976,0.33429286,0.33421054,0.33531597,0.33608556,0.33427837,0.3297651,0.32699358,0.33552933,0.36848116,0.43266287,0.5190231,0.59902024,0.6410722,0.62938523,0.574539,0.50273687,0.44008872,0.39956355,0.38003302,0.3705742,0.3610138,0.34693143,0.33153453,0.31935152,0.31338233,0.31302142,0.3158174,0.31850183,0.31867984,0.31578717,0.31092575,0.30545834,0.3003254,0.2952722,0.29003802,0.28384742,0.27703384,0.26988748,0.2641776,0.26456416,0.28179702,0.32990322,0.41372904,0.51690024,0.60357404,0.64003426,0.6164076,0.5495185,0.4683901,0.3958991,0.342967,0.30937648,0.2895257,0.27749106,0.26953042,0.26575443,0.2663654,0.27211797,0.28135675,0.29194,0.30028448,0.3040136,0.3028294,0.30016682,0.30434677,0.3277395,0.38044974,0.4599379,0.54559964,0.6071637,0.62234277,0.5900169,0.5287706,0.4637587,0.4128767,0.38115987,0.36250624,0.34822366,0.33162734,0.31389114,0.30033854,0.2994838,0.3128163,0.33388445,0.34748185,0.3426844,0.31843057,0.2850946,0.25443694,0.23352666,0.22301291,0.21953815,0.21770048,0.21171339,0.19857816,0.18037958,0.16363132,0.15601975,0.16308075,0.1856501,0.21860628,0.2516825,0.27422336,0.2807012,0.2728943,0.25744364,0.2405178,0.22511423,0.2098798,0.19239213,0.1714236,0.14970128,0.134856,0.14062266,0.18551284,0.28052983,0.415205,0.55139565,0.6437147,0.6655309,0.6241538,0.5485888,0.46951354,0.4048541,0.3598564,0.33153602,0.31471285,0.3039259,0.29616746,0.29062057,0.28899273,0.29273328,0.30169797,0.31325176,0.3243777,0.33285686,0.33906472,0.34723982,0.3671707,0.41021582,0.47940767,0.55985594,0.62226886,0.63913745,0.6035819,0.5320261,0.45460773,0.3955196,0.36398736,0.35156694,0.34368458,0.3296051,0.30940166,0.29020765,0.27893505,0.2773911,0.28230798,0.28921303,0.29554546,0.30173147,0.30931,0.3183593,0.32674423,0.33185208,0.33239582,0.32920548,0.3240337,0.3197765,0.3185816,0.32287818,0.33549857,0.36405322,0.41598442,0.4903002,0.5671231,0.6158921,0.61294276,0.5591308,0.47768614,0.39928338,0.34437394,0.3161397,0.3048931,0.2982817,0.28983882,0.28001782,0.27296028,0.27126515,0.27437592,0.27886173,0.2813538,0.28078797,0.2786344,0.27789605,0.2831197,0.30280325,0.34809434,0.42367187,0.5161789,0.59507465,0.628983,0.6075403,0.5445656,0.46799684,0.39970672,0.35033402,0.3185847,0.29973033,0.28839782,0.281343,0.27775517,0.27923107,0.2890312,0.30636224,0.32472503,0.33198306,0.3213201,0.294027,0.26067382,0.23022987,0.20805414,0.19369937,0.18618377,0.18388651,0.18609788,0.19160622,0.19930506,0.20719515,0.21394809,0.21906866,0.224041,0.22947411,0.23520412,0.23908721,0.23997003,0.23695149,0.23111552,0.22449546,0.22100407,0.22435842,0.2365791,0.25588092,0.27795577,0.30059418,0.33015046,0.3806387,0.46237573,0.565932,0.6610214,0.71151155,0.7000799,0.63565,0.54808205,0.46754062,0.41281402,0.3839142,0.37025788,0.35974732,0.34744135,0.3346939,0.32465556,0.31847033,0.31473163,0.31168923,0.3083457,0.30530486,0.30302003,0.30359864,0.31302345,0.34464598,0.4103473,0.5079283,0.6096154,0.675108,0.67354697,0.60739774,0.5077312,0.41813454,0.3656076,0.3528539,0.35946974,0.36472043,0.35787103,0.3436168,0.32938316,0.31977284,0.3131336,0.30706105,0.30002654,0.2926247,0.28574994,0.2805369,0.27767625,0.27778855,0.2804761,0.2844572,0.28734872,0.28732726,0.28404972,0.27939525,0.27918422,0.29436898,0.34008345,0.42260575,0.5271109,0.61600465,0.65125054,0.61975855,0.53976864,0.44511274,0.36057603,0.29497397,0.2440387,0.20292991,0.16924942,0.14389385,0.12690379,0.11685711,0.11137428,0.10858435,0.10737894,0.106718905,0.10588458,0.10424765,0.10229475,0.10129852,0.10466806,0.11589301,0.13570979,0.1581112,0.17288715,0.17239557,0.15805952,0.13936098,0.12748146,0.12896211,0.14296961,0.1621629,0.1758942,0.17601384,0.16151369,0.1395065,0.12130264,0.11712393,0.13242953,0.16552979,0.2082193,0.24826491,0.2756168,0.2866323,0.28492478,0.2767264,0.26565084,0.25065985,0.22884546,0.20038205,0.17008339,0.14535755,0.13201512,0.13319172,0.1482958,0.17333253,0.20015742,0.22048964,0.22934125,0.22734214,0.21793298,0.20445888,0.18905078,0.17285526,0.15711248,0.14260328,0.1300254,0.12206293,0.12766533,0.16500928,0.24919522,0.3761731,0.5106038,0.60859567,0.64302963,0.62204623,0.56945056,0.5084215,0.44970575,0.3996445,0.36130604,0.3357569,0.3208363,0.31352675,0.3114529,0.31294182,0.31740895,0.32445398,0.33301553,0.3401818,0.3428127,0.34043658,0.33832708,0.34831497,0.38233992,0.4423975,0.5107508,0.55944854,0.56678647,0.5352021,0.48325035,0.43312022,0.3955104,0.37198234,0.35724208,0.34491578,0.3298339,0.31054977,0.28947923,0.26994547,0.25411865,0.2405651,0.22557683,0.20544083,0.18044041,0.1548732,0.13467741,0.12449459,0.12833388,0.14885725,0.18472736,0.22576666,0.25667226,0.26514187,0.25135148,0.2253926,0.19974314,0.17995845,0.1649829,0.15052688,0.1348458,0.118602246,0.10433849,0.09451935,0.092798494,0.10322121,0.12700395,0.1592625,0.18954317,0.20913605,0.21673113,0.22153945,0.23897146,0.28279358,0.35349786,0.43199262,0.48712194,0.4945521,0.45362148,0.38836637,0.33553305,0.3269427,0.37311313,0.4560726,0.53812873,0.5855305,0.5865913,0.5513988,0.49824038,0.443127,0.39781323,0.36886,0.35500324,0.3483188,0.33967552,0.32699892,0.31502008,0.31205532,0.3196977,0.33158696,0.33449742,0.32155296,0.29485017,0.26577708,0.2432826,0.23150785,0.22781593,0.22674906,0.2209755,0.20516503,0.17954041,0.1504346,0.12670492,0.11520097,0.119388014,0.13877179,0.168118,0.19786312,0.21834137,0.22545688,0.22184496,0.21364154,0.2048376,0.1958459,0.18402778,0.16756171,0.14704065,0.12698932,0.11631023,0.13007171,0.18638985,0.2941971,0.43708763,0.5735793,0.6569428,0.666338,0.6132162,0.5325291,0.45578334,0.40272906,0.3744717,0.36328125,0.3574911,0.35045755,0.34090006,0.33153653,0.3261303,0.32769704,0.33607522,0.34682682,0.3530587,0.35129508,0.34472522,0.34359503,0.36091927,0.40575933,0.47529355,0.55112654,0.60762167,0.6247892,0.59972095,0.5440144,0.4784931,0.42078865,0.38068864,0.35402778,0.3323268,0.3085431,0.28519654,0.266871,0.2562097,0.24905021,0.23931926,0.22213526,0.19755848,0.16921501,0.1426292,0.12274166,0.11378306,0.11906928,0.13926674,0.16996916,0.20144063,0.2232771,0.22974037,0.22306041,0.21164376,0.20709296,0.21835221,0.24780814,0.28787985,0.32629856,0.35270512,0.36562,0.3712555,0.37821713,0.3922336,0.41221356,0.43274435,0.44640407,0.44985378,0.44469917,0.43835387,0.44065836,0.45817235,0.48650432,0.5083905,0.50436634,0.4685469,0.41594502,0.37346002,0.36470532,0.39665928,0.45642337,0.5147223,0.5437844,0.5328908,0.49456248,0.44968125,0.41237378,0.38568547,0.36700705,0.35524976,0.34868696,0.34611574,0.34382054,0.3405836,0.33648884,0.33435068,0.33286074,0.32564154,0.3031132,0.2630055,0.21322393,0.17109446,0.15537699,0.18234497,0.25470755,0.35441628,0.44375893,0.48630512,0.46832737,0.40336803,0.32010606,0.24489611,0.19481544,0.17301388,0.17200029,0.17815328,0.18127483,0.1803525,0.18433948,0.20821817,0.26017955,0.3321743,0.39675406,0.42532948,0.40437725,0.34566975,0.27819982,0.2393115,0.25723734,0.33450782,0.43678746,0.51390857,0.5317154,0.4964955,0.43824717,0.38703898,0.3536857,0.3378605,0.33411145,0.33812687,0.34427848,0.34803835,0.3471148,0.342175,0.3352549,0.3270792,0.31724313,0.3043471,0.28942513,0.27523446,0.26779637,0.27480114,0.30624136,0.36574352,0.44292226,0.51054376,0.54085493,0.5229109,0.47104886,0.41184616,0.36951247,0.35193756,0.35271367,0.354786,0.3457226,0.32221398,0.2927059,0.26660758,0.24955726,0.23941451,0.22996807,0.21467787,0.19207855,0.16622406,0.14397769,0.1301507,0.127437,0.13685949,0.15766598,0.18450354,0.20845287,0.22191972,0.22310543,0.21605591,0.20606036,0.19640052,0.18711327,0.17671318,0.16400538,0.14910379,0.13371961,0.12091225,0.11515742,0.1208989,0.1390724,0.16494541,0.18945293,0.20538048,0.21160734,0.2153155,0.22959904,0.26868922,0.33664194,0.41869298,0.4839243,0.5045897,0.474656,0.414192,0.35720536,0.33625337,0.36698064,0.43974748,0.52124816,0.574524,0.58063257,0.5459958,0.49207664,0.43893433,0.39913645,0.37525535,0.3632016,0.35469544,0.34291327,0.32710972,0.31185007,0.30467176,0.30809727,0.31786275,0.32214662,0.31174564,0.2853897,0.25248057,0.22454761,0.20870173,0.20334916,0.20142321,0.19511218,0.18106546,0.16120625,0.14074607,0.124569945,0.11644861,0.11946418,0.13504803,0.16059987,0.18837585,0.2098191,0.2200346,0.22016603,0.2140898,0.20568967,0.19668192,0.18723935,0.17630546,0.16322874,0.1487283,0.13796099,0.14238982,0.17967975,0.26218596,0.38395682,0.5158794,0.62137526,0.6766407,0.6788444,0.64035434,0.5790105,0.51474625,0.46409988,0.43498325,0.42374566,0.42091835,0.41857445,0.41367555,0.4064004,0.39722133,0.38537672,0.36938438,0.34895957,0.32672757,0.30857584,0.30278006,0.31925842,0.36464426,0.43656215,0.5179023,0.5847625,0.6160645,0.6060252,0.56178266,0.501805,0.4442191,0.40068504,0.36848044,0.33792123,0.30164316,0.2630344,0.23087312,0.21160053,0.20349534,0.1995867,0.1925052,0.17917037,0.16135304,0.14339805,0.12973194,0.12349525,0.12718664,0.14103399,0.16159351,0.1814223,0.19364284,0.19564474,0.19025938,0.18318646,0.18189634,0.19377081,0.22303899,0.265501,0.30933622,0.3411986,0.35455656,0.35002303,0.33111885,0.30115902,0.2647269,0.22998963,0.20408256,0.18972975,0.18274117,0.17820914,0.1725146,0.16551572,0.15784335,0.15077858,0.14510293,0.14082424,0.13674432,0.13116162,0.123171754,0.113968134,0.106073946,0.10206077,0.10198567,0.10425908,0.10627499,0.10698857,0.10620499,0.104698546,0.10281245,0.10073867,0.09820178,0.09498215,0.09107994,0.08728102,0.085570045,0.089436114,0.10188755,0.12279198,0.1464256,0.16481133,0.17231365,0.16998531,0.16295199,0.15661828,0.15307772,0.15199704,0.15210146,0.1527373,0.15387617,0.1558377,0.15877795,0.16255175,0.16710025,0.17251097,0.17877491,0.18496354,0.18959765,0.19145201,0.19044484,0.18717472,0.1823635,0.17660381,0.17081912,0.1659454,0.16243277,0.15987058,0.157995,0.15740155,0.15943182,0.1644851,0.17121959,0.17693149,0.17966276,0.17916852,0.1767656,0.17373033,0.17037487,0.1662184,0.16071874,0.15405726,0.1466295,0.1387984,0.13035163,0.121296585,0.11220282,0.10443399,0.09916773,0.096493006,0.0951168,0.093316026,0.09017429,0.08615181,0.082342215,0.079453774,0.07722664,0.07505765,0.07274515,0.07099099,0.07075692,0.072560295,0.07588947,0.07974973,0.0834168,0.086948454,0.09079168,0.09491897,0.09862027,0.10097655,0.10179164,0.101748586,0.10191941,0.103111096,0.105489254,0.10872859,0.11234853,0.116438635,0.12192875,0.13007432,0.14084561,0.15213405,0.16028441,0.16273029,0.15942359,0.15324403,0.14766766,0.14534917,0.14676256,0.150913,0.15593524,0.16030872,0.16345961,0.16598855,0.16915202,0.17394578,0.180227,0.18679315,0.19188564,0.19456314,0.19477664,0.19363968,0.19217013,0.19104831,0.18988223,0.18798439,0.18505572,0.18191457,0.17979437,0.17921335,0.17925684,0.17865425,0.17682965,0.17453104,0.17253841,0.17115456,0.17002974,0.16929795,0.16955526,0.17146285,0.17462063,0.17773418,0.17921285,0.17856143,0.17628981,0.17362638,0.17112072,0.16906023,0.16733278,0.16616885,0.16490777,0.1622421,0.15683539,0.14938058,0.14263232,0.13948685,0.14047158,0.14332509,0.14504398,0.14425969,0.14189237,0.1401422,0.14072149,0.14421351,0.14996588,0.15727209,0.16557093,0.17472123,0.18387842,0.19159059,0.19582307,0.1952663,0.18990295,0.18155418,0.17285426,0.16599935,0.16127491,0.1577621,0.15434073,0.15130542,0.1496454,0.15043302,0.15334861,0.15686,0.15883057,0.1580263,0.15505408,0.15187927,0.15055442,0.15161915,0.15408857,0.15599261,0.15587492,0.15324682,0.14888978,0.143902,0.13928093,0.13532315,0.13202517,0.12922394,0.12697668,0.12545979,0.124906994,0.12541136,0.12671547,0.1281429,0.12867093,0.12760065,0.1250652,0.12214244,0.11995524,0.11888834,0.11843115,0.1179333,0.11722892,0.11677993,0.11710477,0.11838749,0.1201288,0.121623285,0.12200912,0.12071902,0.11684842,0.10984846,0.0995465,0.08753565,0.07593604,0.06720291,0.062329073,0.062309984,0.06747549,0.07820627,0.092544794,0.10718904,0.11790971,0.12286324,0.12272677,0.12048558,0.11861957,0.11791334,0.11742718,0.116246305,0.1145227,0.11314071,0.1129919,0.11564189,0.12360249,0.13930483,0.16149066,0.1851256,0.20364422,0.21404278,0.21700126,0.21553029,0.21144705,0.20592384,0.19945292,0.19324563,0.18780546,0.1834314,0.17950106,0.1761816,0.17366081,0.17317195,0.17492068,0.17911494,0.18413472,0.18874943,0.1910581,0.19070937,0.1874851,0.18216713,0.17515619,0.16708158,0.15854871,0.15050983,0.14396854,0.14002307,0.13985236,0.14458698,0.15384643,0.16506346,0.17370273,0.17658468,0.17360528,0.16807963,0.1632809,0.16078605,0.15976591,0.15913054,0.15804857,0.15673491,0.15557076,0.15556224,0.15755156,0.16232212,0.16954114,0.17789616,0.1851371,0.18935221,0.18975425,0.18714885,0.18324594,0.17973615,0.1773448,0.17545915,0.17288397,0.16889916,0.16553672,0.16964626,0.19532745,0.25788316,0.36144245,0.48406196,0.5861905,0.6327949,0.6203928,0.5704237,0.5117238,0.45870146,0.41572514,0.3823701,0.3597391,0.3467119,0.34017253,0.33591387,0.3310318,0.32419333,0.31585005,0.30752647,0.30120122,0.29771104,0.2967876,0.29892474,0.3091565,0.33877993,0.39704064,0.4804572,0.56498265,0.62165785,0.63179964,0.60130405,0.5470062,0.48955235,0.43936172,0.4004842,0.36597487,0.32806382,0.28218186,0.23435353,0.19401205,0.16810201,0.15608382,0.15343083,0.15438493,0.15522687,0.15372525,0.15042658,0.14686608,0.14588168,0.14907898,0.15664947,0.1662742,0.17425911,0.17743252,0.17467187,0.16824408,0.16293962,0.16556324,0.18175371,0.21255422,0.25184846,0.28876832,0.31399882,0.3249354,0.32616532,0.32509992,0.3272294,0.33366075,0.3420407,0.34909973,0.3529419,0.35491145,0.36057758,0.37913778,0.41557944,0.46366128,0.50369406,0.51718026,0.49821487,0.4598259,0.42364207,0.41371393,0.44486514,0.5165159,0.6034374,0.6691816,0.6832691,0.64411014,0.57139754,0.4949294,0.4323798,0.39017096,0.3633401,0.34649822,0.33427534,0.32508826,0.3199141,0.3225286,0.33542943,0.35429823,0.36686745,0.3591372,0.32691544,0.27955332,0.23418777,0.20354743,0.1903671,0.1886578,0.19027914,0.18922193,0.18380107,0.17538,0.16708447,0.16174464,0.16153926,0.16600432,0.17224985,0.17533185,0.17285156,0.16585892,0.15845715,0.15312539,0.15016676,0.14791399,0.14528519,0.14184368,0.13813971,0.13489431,0.13497849,0.14652382,0.18658505,0.2718755,0.40355954,0.55261505,0.67407036,0.73066455,0.71707934,0.6523557,0.5668735,0.48369598,0.4178598,0.3732656,0.34808996,0.33562112,0.32991993,0.32661882,0.32393828,0.32139096,0.31867686,0.3151563,0.3100139,0.30331603,0.29655662,0.29502532,0.30937347,0.35436383,0.4375577,0.5484164,0.6561749,0.7255697,0.73612136,0.691323,0.6140402,0.53187543,0.46447313,0.4146324,0.37192333,0.32461157,0.2703451,0.21772361,0.17723797,0.15480928,0.14866938,0.15242887,0.15756607,0.15749621,0.14988835,0.13720183,0.12440687,0.11626011,0.11501365,0.11938854,0.12476653,0.12660997,0.12299245,0.116491534,0.11204509,0.11626709,0.13525994,0.17146496,0.2203253,0.26997915,0.30881712,0.3306279,0.33877587,0.3399297,0.341069,0.34426197,0.34878957,0.35239062,0.3539022,0.35472873,0.3585045,0.37225923,0.40088657,0.44201854,0.4819604,0.5048954,0.50410074,0.48508295,0.45933202,0.4385307,0.4370105,0.46515766,0.5191031,0.5726626,0.59614754,0.5776178,0.5310482,0.47862396,0.43368706,0.39728555,0.3671339,0.34273478,0.32555136,0.3144892,0.30903068,0.30889645,0.3174063,0.33327147,0.34951997,0.3518443,0.3316286,0.29109845,0.24659638,0.21860628,0.22816913,0.28589228,0.38646755,0.4988673,0.58218694,0.60293,0.5589026,0.47014484,0.36942855,0.28017664,0.21596546,0.1758799,0.15377861,0.14070837,0.13287564,0.13260464,0.15005589,0.1962307,0.27278873,0.36086062,0.42803553,0.4449362,0.40638217,0.32891506,0.24051161,0.16139634,0.101626866,0.060589626,0.034833293,0.019726949,0.011947713,0.0085740285,0.007430993,0.0070473286,0.0067793145,0.006497921,0.006232289,0.005973607,0.00567856,0.0053116526,0.0049071717,0.0045641,0.0044020223]