[0.15013017,0.15584256,0.16593523,0.17352068,0.17578702,0.17396474,0.17107552,0.16812335,0.16473235,0.16071683,0.15702619,0.1552151,0.15569349,0.15762836,0.15947731,0.16045587,0.16077434,0.16112567,0.16214025,0.16378856,0.16574652,0.16691424,0.16628541,0.162908,0.15732513,0.1508584,0.14518355,0.14074527,0.13703662,0.13328916,0.12918736,0.12514679,0.12170666,0.11946207,0.118293904,0.11779809,0.117414854,0.11692003,0.11604297,0.11417416,0.11083382,0.10632661,0.10242667,0.101572566,0.10548022,0.11349171,0.12262418,0.12956019,0.13292457,0.13390116,0.13427639,0.13456543,0.13384272,0.13164398,0.12949938,0.13011096,0.135071,0.14272965,0.14935939,0.1516859,0.14960068,0.1455584,0.14260006,0.1421388,0.14379227,0.14607394,0.14734524,0.14647388,0.14331084,0.13883664,0.13436025,0.13083602,0.12838851,0.12661181,0.124638386,0.1215824,0.11760225,0.114354394,0.11403648,0.11703018,0.121351935,0.12423883,0.12440303,0.12260594,0.12020525,0.117952086,0.11557733,0.11314129,0.1116966,0.1129641,0.11744631,0.12364757,0.12911521,0.13225418,0.13314362,0.1327662,0.13234448,0.13286766,0.13498574,0.13868983,0.1432745,0.1479203,0.15218066,0.15630347,0.16054203,0.16482677,0.1683718,0.1704403,0.17053653,0.16897078,0.16610353,0.16237076,0.1576624,0.1521615,0.14615357,0.14044173,0.13549036,0.13163106,0.12865084,0.12619902,0.12359502,0.12082723,0.11842474,0.11736476,0.1172089,0.11668175,0.114315994,0.110541224,0.10661984,0.103613146,0.10126678,0.09943833,0.09963765,0.10423302,0.114157744,0.12638344,0.13626675,0.14026149,0.13868691,0.13353543,0.12689762,0.11966496,0.112695314,0.107098006,0.10401202,0.103789695,0.10578703,0.108602256,0.11095344,0.11224838,0.11273039,0.11278529,0.112335764,0.11116412,0.10931606,0.10772499,0.10712991,0.10779933,0.108858384,0.109617226,0.110146254,0.111441046,0.114164226,0.11749363,0.11998236,0.12083108,0.12118427,0.12268264,0.12635334,0.13178319,0.13827895,0.14525433,0.1523518,0.15845339,0.16254927,0.16585201,0.17531574,0.20132673,0.24950492,0.31111833,0.36558005,0.3946223,0.39531255,0.3790637,0.35949287,0.34402946,0.33553216,0.3368013,0.35210153,0.37929353,0.4092108,0.42608833,0.42280266,0.4023308,0.37854102,0.3607948,0.35171834,0.3457122,0.33711097,0.32139504,0.29681277,0.26363024,0.22542565,0.18801725,0.15761404,0.13757257,0.12768655,0.12401864,0.12120196,0.114662044,0.10435017,0.09427759,0.09011278,0.09329563,0.10116062,0.108599186,0.113147624,0.11450186,0.11369971,0.11081815,0.10606643,0.10137964,0.100735426,0.10783688,0.121912755,0.13765053,0.14838992,0.15199023,0.15103796,0.15009034,0.15057455,0.1510704,0.14948799,0.14665069,0.14527486,0.14726959,0.15119307,0.15363194,0.15302007,0.15119283,0.1520397,0.15682316,0.16346115,0.16737103,0.16591053,0.15889691,0.14870046,0.13768788,0.12796368,0.120877706,0.117277175,0.11665573,0.116603345,0.11375528,0.106374614,0.09705747,0.09132466,0.09348345,0.10220325,0.11219522,0.1183702,0.11985353,0.118665755,0.11714088,0.11607638,0.11540411,0.11584189,0.11871305,0.12525725,0.13434714,0.14354323,0.15007883,0.15341504,0.15442835,0.15469696,0.15494208,0.15517698,0.15496117,0.15418278,0.15334086,0.15341026,0.15490657,0.15729652,0.15901472,0.15853645,0.15529169,0.15009798,0.14480788,0.14148809,0.14157216,0.14472504,0.14892697,0.15121417,0.14996265,0.1455106,0.13997294,0.13488536,0.13037395,0.12482279,0.11725136,0.10851208,0.10159304,0.09868098,0.09947624,0.10155759,0.1032105,0.1046145,0.10694378,0.110688485,0.11583239,0.12270117,0.13246143,0.14531866,0.15996267,0.17401023,0.18762124,0.20255508,0.22035038,0.23789962,0.2515596,0.26044074,0.26905367,0.28049573,0.29280138,0.29933158,0.2957661,0.2828845,0.2650415,0.24636047,0.2292762,0.2152862,0.20485698,0.19892107,0.19927417,0.20844497,0.2255941,0.24436568,0.25610557,0.25710002,0.25215366,0.25031912,0.25661024,0.26874027,0.2801827,0.28640187,0.28675357,0.2825417,0.27460364,0.26268092,0.24714588,0.22953737,0.21336795,0.2026053,0.20158167,0.21440792,0.24634707,0.30077586,0.37291077,0.446131,0.49690822,0.5113985,0.49256504,0.46009323,0.4328053,0.42154607,0.4242637,0.43444574,0.44500172,0.4518911,0.4535402,0.45026922,0.44408992,0.4378654,0.43401125,0.43317214,0.43395844,0.43434873,0.43308786,0.4293466,0.42093027,0.4031328,0.3711598,0.32491958,0.27184176,0.2250217,0.19571172,0.18717335,0.19263493,0.2013058,0.20503926,0.20213026,0.1953423,0.18817556,0.18350415,0.18276314,0.18721777,0.1963795,0.2085529,0.21994694,0.2269169,0.22751434,0.22271545,0.21616487,0.2119355,0.21569864,0.23293233,0.26971507,0.32243145,0.37772417,0.4137989,0.42274356,0.41536546,0.41604328,0.43478918,0.4593008,0.46460107,0.43809214,0.3877034,0.33380353,0.2932999,0.27374098,0.27467227,0.29196525,0.31832418,0.34415767,0.35891882,0.35552284,0.3322192,0.29287893,0.24381556,0.19336824,0.15159415,0.12934141,0.13206267,0.15536381,0.18558091,0.20862512,0.21848531,0.22104971,0.23028122,0.25737837,0.30153584,0.34747764,0.3793656,0.39416853,0.40547895,0.42602348,0.45510483,0.47576392,0.47506556,0.4521141,0.42216983,0.39834437,0.3874009,0.38513172,0.38692632,0.3892062,0.39087114,0.38998464,0.3847994,0.37597778,0.3669186,0.3618169,0.36210644,0.36623916,0.37141517,0.37667134,0.3833437,0.3917185,0.39698204,0.38961568,0.36221957,0.31742907,0.2671601,0.225181,0.19754227,0.18255955,0.1745141,0.16894253,0.16250695,0.15346336,0.14260001,0.13416934,0.13339905,0.14199616,0.15740384,0.17433418,0.18901551,0.19890575,0.2034965,0.20210701,0.1947232,0.1817599,0.1678495,0.16320853,0.18219966,0.23135126,0.3028299,0.3721733,0.419449,0.43963,0.4511621,0.47055447,0.5008946,0.5220639,0.51560783,0.4771607,0.42362007,0.37513772,0.34417033,0.33137915,0.3322321,0.34212956,0.3559638,0.36827993,0.37344956,0.37014794,0.3608993,0.35020146,0.34020457,0.33108255,0.32294723,0.31735432,0.31593588,0.31878567,0.32445815,0.3312224,0.3392944,0.35097483,0.3692557,0.39054537,0.4045272,0.40019497,0.3815286,0.36848745,0.381696,0.42250872,0.46824768,0.49324444,0.48572242,0.4566823,0.42378366,0.40109575,0.3906789,0.38852182,0.3889378,0.38813937,0.38468894,0.37851647,0.37177572,0.3668177,0.36495876,0.36478975,0.36364365,0.36058533,0.35667074,0.35464135,0.3545587,0.35358417,0.3449817,0.32436514,0.2923156,0.25709358,0.2276295,0.20901465,0.19893932,0.19275029,0.18758784,0.18473367,0.18688112,0.19453199,0.20504175,0.21388268,0.21828724,0.21778518,0.21427195,0.20928645,0.20408042,0.19899897,0.19519018,0.19349654,0.1947933,0.1986692,0.20697437,0.22444636,0.25836632,0.30817845,0.36179826,0.3994715,0.41270456,0.41257414,0.41992506,0.4444145,0.47186664,0.48109162,0.4592828,0.41771784,0.37484276,0.3483933,0.3413495,0.34988013,0.3648238,0.37756398,0.38005242,0.36748934,0.34142673,0.30880392,0.2780238,0.25280192,0.2316087,0.21160631,0.19299038,0.18016571,0.17704666,0.18386848,0.19466005,0.2041338,0.21251945,0.23037696,0.26648638,0.31941593,0.37146103,0.40733624,0.4254489,0.44133076,0.46591225,0.49390092,0.5059928,0.48948574,0.44952855,0.40534046,0.3741908,0.36177835,0.36237478,0.36734545,0.3708572,0.37177715,0.37184978,0.37305495,0.37697852,0.38320526,0.39064547,0.39694706,0.4003488,0.40031922,0.39797342,0.39502415,0.38979504,0.3772061,0.35117808,0.31192395,0.2670305,0.22748059,0.20028341,0.18568878,0.17984919,0.17850845,0.17974995,0.18264878,0.1864938,0.18952018,0.19099043,0.1920296,0.19457994,0.19807903,0.19745368,0.18782671,0.16974604,0.15253146,0.14678569,0.15716963,0.17803974,0.2022114,0.22876655,0.26701394,0.32253706,0.38754523,0.43930352,0.4619874,0.4596106,0.45270643,0.45520523,0.46251032,0.45935127,0.43704972,0.400571,0.36238608,0.33283997,0.31647703,0.3124776,0.31770158,0.32813275,0.34036735,0.35091183,0.35913762,0.36833748,0.3881613,0.42319438,0.46702933,0.49685583,0.49396312,0.45489106,0.39934313,0.34933057,0.31808904,0.30376223,0.30144998,0.30823445,0.32247865,0.3388016,0.3483673,0.34786656,0.34453905,0.3546563,0.38708904,0.43525705,0.4758072,0.49005088,0.47272304,0.4387627,0.4053452,0.386205,0.38294485,0.39185044,0.40605426,0.41978288,0.42984322,0.4351405,0.43714836,0.43712494,0.43546107,0.43042764,0.42000136,0.40430424,0.38671172,0.37288967,0.36505315,0.359381,0.34541175,0.31612834,0.27255017,0.2265618,0.18989658,0.16909759,0.16152693,0.1620429,0.166068,0.1715216,0.1765688,0.17888887,0.17727576,0.17263599,0.16780269,0.16439229,0.16129011,0.15520434,0.14413111,0.13082023,0.1220664,0.12487499,0.14063205,0.1665867,0.1995194,0.24187921,0.29542115,0.35600802,0.40774927,0.4380426,0.44615695,0.4499606,0.46333024,0.48692918,0.5010795,0.49137804,0.4558517,0.41209292,0.37601697,0.35673293,0.35081252,0.35312673,0.3590831,0.36473307,0.36388955,0.3491991,0.31862926,0.27719447,0.23539943,0.20179628,0.18017459,0.16954578,0.16744702,0.17217469,0.1816812,0.19308396,0.20161812,0.20790179,0.21898414,0.24774583,0.29549262,0.34931055,0.38664213,0.40033147,0.403013,0.41547632,0.4435936,0.4713589,0.4788264,0.45752838,0.4198159,0.38324067,0.3617265,0.35733795,0.36570013,0.37980738,0.3936659,0.40424982,0.410262,0.4119576,0.4090843,0.40234593,0.39379606,0.38684058,0.38451123,0.38767955,0.39452997,0.40074012,0.39983365,0.38550463,0.3544996,0.3107048,0.26387277,0.2251275,0.20034206,0.18863471,0.18510441,0.18538491,0.18723659,0.18942373,0.1895818,0.18462312,0.17351623,0.1603136,0.15279715,0.15655904,0.16960955,0.1832202,0.1895991,0.18793827,0.18424474,0.18410097,0.18940163,0.19987305,0.21947195,0.25413585,0.30479297,0.35938898,0.4001257,0.41793898,0.42406264,0.4382938,0.46962193,0.5019931,0.51104647,0.48374152,0.4328287,0.381079,0.34664083,0.33205512,0.3314217,0.33757022,0.3460404,0.35400006,0.35744777,0.3536742,0.34275922,0.32943264,0.31827497,0.31124207,0.30671704,0.30341402,0.30198213,0.30435348,0.31088555,0.31924653,0.32734796,0.3359895,0.3499126,0.36974934,0.3897049,0.39803624,0.39250764,0.38248643,0.38513887,0.40533614,0.43317756,0.44993126,0.4467124,0.4267207,0.40116227,0.3770113,0.35652718,0.33850348,0.32405695,0.3155025,0.31523243,0.32230386,0.33347166,0.34539738,0.35705733,0.36922768,0.38187194,0.3938146,0.40337884,0.40982687,0.41163972,0.40510657,0.38554677,0.35140613,0.30800617,0.2655302,0.23336165,0.2141273,0.20336717,0.19415784,0.18199128,0.16719013,0.15176393,0.13742115,0.12316787,0.10805992,0.091604985,0.07521822,0.060293064,0.048363317,0.04112232,0.041073952,0.05073319,0.06984924,0.09449872,0.1177026,0.13729168,0.15903331,0.19749194,0.2582722,0.33138308,0.38937044,0.416272,0.41715822,0.41724122,0.4308858,0.45256063,0.4632237,0.45306543,0.42809057,0.40254757,0.38685203,0.38276199,0.38681683,0.393841,0.39858583,0.39569172,0.3812482,0.35649702,0.3270072,0.29950282,0.27575758,0.25406903,0.23261374,0.21362376,0.2010924,0.19710855,0.19920802,0.20206249,0.20233715,0.20282625,0.2131588,0.24168666,0.2871636,0.33519933,0.37103772,0.3914734,0.40998122,0.4384931,0.47620234,0.5032132,0.5037727,0.4742671,0.43179932,0.3933215,0.37064826,0.36243856,0.3642052,0.3701967,0.37624994,0.3788695,0.37680292,0.3726419,0.37121618,0.3751013,0.38250127,0.38903055,0.39296782,0.39625326,0.40152943,0.4062935,0.40133932,0.37599888,0.3272518,0.26441023,0.20320792,0.15581249,0.12433288,0.10582471,0.09886969,0.10860639,0.13879494,0.18420595,0.22561578,0.2457661,0.24399497,0.24512742,0.2736902,0.33391705,0.393998,0.41825175,0.38693848,0.31794024,0.23955573,0.17672046,0.13464813,0.114368625,0.11986325,0.15733427,0.22351475,0.29874423,0.36167768,0.40268883,0.43205476,0.4598674,0.48582897,0.49621713,0.48717138,0.47038507,0.46748066,0.48563156,0.5117025,0.52381986,0.5121264,0.48538455,0.45925942,0.44241142,0.43386987,0.43154916,0.43892634,0.45998606,0.4906737,0.51571125,0.5198598,0.49990144,0.468889,0.44382194,0.43298674,0.43093085,0.42967638,0.42794737,0.43340015,0.44867066,0.4663075,0.47231233,0.4654994,0.4596206,0.472402,0.50414264,0.535899,0.54510415,0.5246696,0.48717308,0.4526668,0.43464577,0.43555188,0.4509423,0.47709766,0.5088901,0.5400513,0.55862314,0.558357,0.5381771,0.50886554,0.4796882,0.45967755,0.4488673,0.44503412,0.4392551,0.4225848,0.38686347,0.33311957,0.27034983,0.21272357,0.17089407,0.14854902,0.14190231,0.14316578,0.1447246,0.14316,0.14170079,0.14638852,0.16069202,0.18014194,0.19654119,0.20273603,0.19777606,0.18402825,0.16503143,0.14323594,0.12230759,0.107396215,0.10490501,0.11648873,0.1378283,0.15837453,0.17070705,0.17274988,0.16902207,0.16337977,0.1580375,0.15294285,0.14845443,0.1447515,0.14194931,0.14008285,0.13986766,0.14221841,0.14754361,0.15558098,0.16564071,0.17708886,0.18859832,0.19845057,0.20429988,0.2048607,0.2000835,0.19215252,0.18399781,0.17866687,0.17734568,0.17898463,0.17973788,0.17532234,0.16435184,0.1510414,0.14243747,0.14275946,0.1496091,0.15709388,0.16114753,0.16216397,0.16203552,0.16103375,0.15807359,0.15352058,0.15066727,0.15268499,0.15978481,0.16837132,0.17471202,0.17725658,0.17718656,0.17612211,0.17492302,0.17324157,0.17065172,0.16691852,0.16238345,0.15719904,0.15171002,0.14635329,0.14213288,0.13982016,0.1399175,0.14282328,0.15090108,0.16951866,0.20540446,0.25992462,0.32384792,0.37938592,0.4115907,0.41768897,0.40747353,0.39379108,0.3846861,0.3806746,0.37861523,0.37564838,0.37210056,0.37049592,0.37377295,0.3840483,0.4043461,0.4370954,0.4803264,0.5221126,0.5457026,0.53971434,0.5077719,0.46486294,0.42626548,0.3995848,0.3844289,0.37884018,0.38049582,0.38720742,0.39357665,0.39641115,0.39764893,0.408671,0.4375037,0.48066726,0.516479,0.52437013,0.49797252,0.45287767,0.41023433,0.38390136,0.37483573,0.3774567,0.3865458,0.39791286,0.40790713,0.41324353,0.4158344,0.42370057,0.4460145,0.48340312,0.52346325,0.5479877,0.54462606,0.51553124,0.47288892,0.43125534,0.39929602,0.3804836,0.37524197,0.38386974,0.40420213,0.42912993,0.44811141,0.45504537,0.45528534,0.46227384,0.4846497,0.5157532,0.5372506,0.5349638,0.5095518,0.47511387,0.44498017,0.4253396,0.41538385,0.41661778,0.4331896,0.4661974,0.5051092,0.53020006,0.52660567,0.49664375,0.4577371,0.42771384,0.4125364,0.4072019,0.40245697,0.39101085,0.36873472,0.3361416,0.29903853,0.26562405,0.24212633,0.2290623,0.22347273,0.22166683,0.2214843,0.22137791,0.21989655,0.21616404,0.21085845,0.20611978,0.20415062,0.20511927,0.2065432,0.20385648,0.19412462,0.17862506,0.16396129,0.1574055,0.16232531,0.17559998,0.1909998,0.20340717,0.21140893,0.216124,0.21891756,0.22002377,0.21886928,0.21502863,0.20857553,0.20000125,0.1903872,0.18155275,0.1752408,0.17152236,0.16825171,0.16280092,0.15450181,0.14557667,0.13953114,0.13898255,0.14457369,0.15489213,0.16712852,0.17740811,0.18273002,0.1819757,0.17689191,0.17020619,0.16436298,0.16010268,0.15694737,0.15391807,0.15061577,0.14754611,0.14555013,0.14508139,0.14611322,0.14829536,0.1507955,0.15161736,0.14848714,0.14059798,0.13052578,0.12349119,0.12442714,0.13456957,0.14977537,0.16281492,0.16665597,0.15871663,0.14176439,0.123954944,0.11454757,0.118833564,0.13384667,0.15007506,0.15815093,0.15508594,0.14562882,0.13780104,0.13666053,0.14091593,0.14437954,0.14215386,0.13549112,0.1312295,0.1356221,0.14821905,0.16269784,0.17173463,0.17256445,0.16676141,0.1583811,0.15132116,0.1481737,0.14922875,0.15232436,0.15473224,0.15506689,0.15401392,0.15273418,0.15122609,0.14853232,0.14382869,0.13759895,0.13090228,0.12519419,0.12273974,0.12629849,0.13706432,0.15144326,0.16307491,0.16703403,0.16438656,0.15971397,0.15709656,0.1569584,0.15750001,0.15689224,0.15478174,0.15220124,0.15085237,0.15183996,0.15488265,0.15852354,0.16138326,0.16329789,0.16499116,0.16732414,0.17020847,0.1730143,0.17488928,0.17543282,0.17437212,0.17118895,0.16433595,0.15151359,0.13064918,0.10362028,0.07790054,0.066537954,0.07940213,0.11688437,0.16570373,0.20903908,0.23490971,0.2431664,0.239591,0.23167492,0.22610253,0.23132972,0.25787067,0.3102298,0.38145396,0.44957745,0.49314514,0.5012036,0.4825922,0.45482516,0.43451607,0.4285458,0.43420532,0.44485247,0.45322713,0.45691895,0.45601413,0.45506048,0.46011075,0.4793457,0.5149848,0.55907637,0.5919792,0.5974347,0.5726848,0.5323136,0.49242494,0.46216074,0.44085786,0.4268423,0.41979572,0.41944626,0.42362246,0.4284513,0.43193373,0.4336082,0.43495694,0.436517,0.4380382,0.43858936,0.43816093,0.4381944,0.44000426,0.44368634,0.44656947,0.44560865,0.43916038,0.42989114,0.4223976,0.41989633,0.421278,0.4245567,0.43106064,0.44495535,0.4650506,0.48240995,0.48679224,0.48076773,0.47870612,0.49374032,0.521846,0.5430967,0.5387533,0.5050258,0.4555858,0.40859962,0.376426,0.36098924,0.35776782,0.36302304,0.37511683,0.39377937,0.41355422,0.42728773,0.4289315,0.42041814,0.40741,0.39634004,0.38934025,0.38624945,0.38565323,0.3866631,0.3880985,0.3886421,0.3887041,0.39185843,0.40401495,0.4261992,0.45094335,0.463962,0.45900968,0.4453634,0.4454093,0.4713111,0.51355416,0.5428019,0.5385608,0.50234956,0.45834395,0.42852834,0.42128673,0.42838803,0.4382235,0.44262174,0.44008914,0.4324039,0.42392108,0.42108127,0.43343413,0.46671292,0.5160367,0.5601763,0.57604367,0.5540356,0.5104328,0.46982682,0.44840845,0.44118991,0.43644094,0.42589024,0.4115111,0.39773047,0.38783303,0.38219717,0.38026223,0.38148227,0.3851644,0.39035466,0.39548936,0.3999273,0.40515676,0.41375038,0.42588684,0.43686438,0.4402959,0.43345106,0.420452,0.40874758,0.4035938,0.40498462,0.4108052,0.42065406,0.43744358,0.45980954,0.47937083,0.4825126,0.46730742,0.4479297,0.44758692,0.47429156,0.51330453,0.5373287,0.5313837,0.50111145,0.4654459,0.43786278,0.42172298,0.41316998,0.41058052,0.41386846,0.421973,0.42983305,0.43313888,0.43371144,0.44090176,0.46298036,0.49644288,0.523573,0.5239806,0.49200892,0.44118991,0.3950871,0.3684084,0.36273706,0.3704724,0.38714275,0.4100432,0.4350004,0.45199013,0.45465708,0.4476513,0.44695005,0.4645544,0.49626222,0.5222566,0.52429247,0.5004442,0.46506307,0.4350721,0.41830233,0.4131085,0.4151565,0.4218519,0.43205723,0.44363347,0.45449796,0.46502593,0.48024616,0.50642455,0.54360896,0.5807481,0.6001833,0.5911989,0.55879635,0.51925045,0.48609495,0.46185067,0.44244358,0.42554796,0.4135255,0.4088546,0.41079977,0.41567937,0.41978514,0.42126417,0.4205251,0.4194288,0.4196341,0.42185923,0.42662156,0.43516853,0.447765,0.46188286,0.47133052,0.47144207,0.4611191,0.44532356,0.42933226,0.41792223,0.41265115,0.41516244,0.42650712,0.44431996,0.46098968,0.46487918,0.45354128,0.43710592,0.43658218,0.46117082,0.50052565,0.5268737,0.5208289,0.48310503,0.4340844,0.3937073,0.37134036,0.36398816,0.3662062,0.37453035,0.38744697,0.40187654,0.41222122,0.41483048,0.41028395,0.40388474,0.4002138,0.40073478,0.40336445,0.40528062,0.40554965,0.40548983,0.407433,0.41235077,0.42093956,0.43431723,0.4539853,0.47491553,0.48773035,0.4838284,0.4708449,0.4669571,0.48881474,0.5301995,0.5668037,0.57256347,0.5417257,0.48899916,0.43752348,0.40191078,0.38520297,0.38206956,0.38693145,0.39511728,0.40353593,0.40917525,0.4124409,0.41880438,0.43827417,0.47566938,0.52331424,0.56019753,0.5675604,0.54208213,0.49931026,0.45888162,0.4312078,0.4142721,0.4019245,0.3910438,0.38168788,0.3742316,0.36839744,0.3651532,0.36717847,0.37611017,0.39004895,0.40311334,0.4105358,0.4116343,0.41168633,0.4157022,0.42488346,0.43376502,0.43594214,0.42810726,0.4130591,0.39663586,0.3842989,0.3789344,0.38222018,0.39630616,0.4229096,0.4571453,0.48669472,0.49800503,0.49136603,0.48233828,0.48957285,0.51438445,0.53824013,0.5386594,0.5097594,0.46575618,0.42750418,0.40611362,0.39989796,0.40146682,0.4063879,0.41331303,0.4204819,0.4245329,0.42410028,0.4228028,0.42546585,0.43221235,0.43673143,0.43339542,0.42388666,0.41700915,0.4193379,0.42906034,0.43667707,0.4354341,0.4259766,0.41639924,0.41238645,0.4141066,0.41502562,0.4090635,0.39253402,0.36646804,0.33376205,0.29904452,0.2665966,0.23969392,0.21891315,0.20240323,0.18733011,0.1716791,0.15516251,0.13822307,0.1213351,0.10450228,0.08837733,0.07428985,0.06392161,0.05790441,0.055613056,0.05557394,0.056520537,0.057840344,0.0593062,0.060553607,0.060519617,0.05843097,0.054744035,0.05250606,0.055358186,0.06509091,0.07901504,0.0919647,0.09969509,0.1019201,0.10137355,0.10148612,0.10400811,0.10880321,0.11402688,0.11756715,0.11762037,0.11371965,0.10631154,0.096926086,0.0877583,0.08150449,0.08004219,0.083189785,0.08835751,0.092048086,0.092219405,0.089390546,0.08597398,0.08387195,0.083476536,0.0837157,0.08406761,0.08491372,0.08750948,0.0922078,0.09825782,0.10345007,0.1055221,0.10272213,0.095284104,0.08523839,0.07620927,0.071598284,0.07353311,0.08184884,0.09445002,0.10774433,0.11783174,0.12185296,0.11948552,0.11314567,0.105953686,0.09949154,0.093147516,0.086852975,0.08247175,0.08288625,0.08816112,0.09488381,0.098229736,0.09577096,0.08828306,0.07885283,0.07102883,0.06796899,0.07084784,0.07805413,0.08545893,0.08986487,0.09108972,0.09188702,0.09410449,0.09724101,0.09922988,0.09949127,0.0992724,0.1001753,0.102384746,0.1046259,0.10561827,0.10473865,0.1023219,0.098682314,0.09410443,0.08861958,0.08272323,0.07731306,0.073581725,0.07245831,0.07423892,0.07836098,0.08313039,0.08648164,0.087358944,0.08706957,0.08841035,0.09304533,0.09991022,0.1058675,0.108434595,0.10668451,0.101151176,0.0927599,0.08312279,0.07472213,0.07033528,0.07202845,0.079869755,0.09202519,0.10495055,0.11500149,0.11960149,0.11822557,0.112027384,0.10314888,0.094156325,0.08766029,0.08555901,0.088161565,0.0936746,0.09915325,0.102262445,0.102842234,0.10280355,0.10425206,0.10781377,0.11223691,0.11578503,0.11749304,0.11768302,0.117487006,0.11803409,0.11972918,0.12203159,0.12401021,0.12521195,0.12597446,0.12696029,0.12834843,0.12970851,0.13049453,0.1305858,0.1303734,0.13010634,0.12991023,0.12957914,0.1291789,0.12846301,0.12726505,0.12540339,0.12322862,0.12085801,0.117753215,0.11319091,0.10757535,0.10303036,0.10147142,0.10315474,0.1061998,0.10898707,0.11092791,0.112560876,0.11410948,0.115525395,0.11665543,0.11741326,0.117479526,0.11655513,0.11505597,0.114456266,0.11651569,0.12213848,0.1308335,0.14097193,0.15058064,0.15780993,0.16160472,0.16161887,0.15822446,0.15187019,0.14330997,0.13334078,0.12280304,0.11176124,0.099987365,0.087872446,0.077706344,0.07286414,0.0754632,0.08406091,0.0939829,0.100349836,0.10133774,0.09842514,0.094306625,0.09029737,0.086905695,0.08468881,0.08483842,0.087190725,0.08940029,0.0880178,0.08142758,0.07197713,0.064387985,0.062182736,0.06460618,0.06862398,0.07262235,0.078194104,0.08699996,0.097744726,0.10685081,0.11210861,0.114557914,0.11652214,0.11886018,0.12003385,0.1178311,0.111473896,0.10249033,0.094220966,0.089414,0.088888444,0.0906517,0.092354886,0.09255711,0.09218343,0.09254935,0.09460939,0.09745115,0.09968137,0.09981779,0.0976654,0.09358887,0.08845816,0.08306378,0.07850933,0.076001,0.07632219,0.07909269,0.0829267,0.08641812,0.08931917,0.09241118,0.096537106,0.10149101,0.10642069,0.11109427,0.11662453,0.124484815,0.13450055,0.14406852,0.14959788,0.1489409,0.1427734,0.13351366,0.12350762,0.11401496,0.10597107,0.10087968,0.10019406,0.10367698,0.108799815,0.112238616,0.11256388,0.11065972,0.10877425,0.107891254,0.10785586,0.10754147,0.106571585,0.10508006,0.104267634,0.10594045,0.11155346,0.12054616,0.1293851,0.13406701,0.1323784,0.1256262,0.11642885,0.10771829,0.10152585,0.09895974,0.09880596,0.09803692,0.0941776,0.08867222,0.085692026,0.08836617,0.094787665,0.10198286,0.11106301,0.13078998,0.1696604,0.22863454,0.29689008,0.35976222,0.4041804,0.4235548,0.41621318,0.3874948,0.34775552,0.3085228,0.27695513,0.25428018,0.23885494,0.2285947,0.22426002,0.23018515,0.25100124,0.2846477,0.31798235,0.33662274,0.3368702,0.33142707,0.33461258,0.3492466,0.36281347,0.36355057,0.35200873,0.34205234,0.3448722,0.3583312,0.36892867,0.36742043,0.35866085,0.35559225,0.364256,0.37616432,0.37961483,0.37468383,0.37862507,0.408098,0.4622538,0.5166316,0.5448749,0.53658706,0.5058178,0.47387758,0.45547995,0.45113194,0.45411873,0.45806333,0.4605093,0.46243548,0.46565974,0.4730761,0.48946977,0.5186646,0.5583556,0.5947644,0.6105375,0.5962418,0.56043947,0.5219827,0.4964203,0.48615447,0.4844135,0.48502412,0.48669901,0.4911082,0.49765563,0.5034933,0.50531024,0.50178325,0.49412814,0.48403966,0.47382042,0.46467435,0.4596573,0.4613217,0.4706669,0.48312488,0.49133614,0.49046138,0.48165455,0.4699,0.458475,0.44772997,0.43870103,0.43581986,0.44630396,0.47056532,0.4994788,0.5164795,0.51502246,0.5045875,0.50562876,0.52778465,0.561161,0.5828857,0.57803017,0.54889035,0.5117777,0.4816253,0.46463427,0.4580551,0.45732093,0.45988008,0.46426412,0.4695697,0.47398043,0.4773977,0.4789928,0.4786211,0.47541168,0.47048247,0.46472958,0.45899275,0.45275593,0.44681525,0.4424001,0.44157234,0.44596684,0.45833397,0.48022175,0.50725085,0.52903074,0.5356268,0.5308039,0.5290467,0.5443318,0.57199717,0.59318185,0.5886988,0.5571023,0.5122366,0.47310302,0.44926354,0.4408966,0.44135967,0.44594952,0.45160094,0.45819262,0.4650226,0.47386956,0.48769403,0.51092136,0.5402851,0.56557703,0.571431,0.553485,0.5194054,0.48639122,0.46542534,0.45838383,0.46048105,0.46791705,0.47933426,0.49335465,0.5074304,0.51884264,0.52592224,0.5278489,0.52365214,0.5135936,0.49834964,0.4807893,0.46357942,0.45249653,0.45040587,0.4585756,0.47039023,0.48058507,0.48417458,0.4829638,0.47848198,0.47409865,0.47221947,0.4775037,0.4942902,0.52277136,0.5547033,0.5758888,0.577662,0.56610703,0.5593732,0.569998,0.5923519,0.60503215,0.5914338,0.5528607,0.5070917,0.47108865,0.45031214,0.4408457,0.4379575,0.44152594,0.4505508,0.46151412,0.46758488,0.46853483,0.4714172,0.48883697,0.52363354,0.56486505,0.5898705,0.5844042,0.55040455,0.5067778,0.47085166,0.45061278,0.44279575,0.44374147,0.45393324,0.472721,0.49348533,0.5031634,0.49832904,0.4889152,0.49255088,0.51415825,0.54093313,0.5532222,0.54177946,0.5133715,0.48245868,0.46024573,0.45058203,0.45126298,0.4575975,0.46437374,0.46725473,0.4648498,0.459572,0.45860073,0.47027484,0.49704096,0.5303507,0.55329657,0.55393356,0.53341,0.50344557,0.4734901,0.4440595,0.41128644,0.37501416,0.34133303,0.31653008,0.30191043,0.29265752,0.2833635,0.2719214,0.2625474,0.26030913,0.2679263,0.28115654,0.2947707,0.30559883,0.31491944,0.32316902,0.327492,0.3249713,0.31799424,0.31649584,0.33026388,0.36117056,0.39982346,0.43509316,0.46286693,0.48892736,0.51584727,0.53687376,0.5381648,0.5190003,0.4959164,0.4926319,0.5149507,0.5460512,0.56074,0.54858017,0.51870716,0.4893358,0.4722575,0.46926463,0.47661552,0.49044695,0.5069272,0.51738954,0.51100934,0.48094484,0.4340055,0.38622332,0.3531661,0.33950517,0.33941007,0.34385672,0.34677613,0.3484243,0.3504977,0.35368085,0.35635945,0.3609366,0.37504873,0.4040949,0.44070253,0.4643052,0.4604362,0.43665454,0.42208627,0.43906736,0.48445415,0.5289531,0.5462485,0.52890503,0.49300364,0.45859316,0.4399695,0.4382311,0.44725594,0.4575449,0.46262574,0.46112266,0.45745453,0.45863572,0.47140884,0.4968349,0.5280829,0.5503597,0.55064845,0.52710223,0.49313834,0.4665903,0.4571737,0.46013972,0.46588168,0.46870852,0.47153738,0.4777682,0.4876518,0.49744368,0.5049588,0.510886,0.51667523,0.52219266,0.52549034,0.5257701,0.52315605,0.5175722,0.50628334,0.48646113,0.4577577,0.42567846,0.3986293,0.3848846,0.38727212,0.40339324,0.4279901,0.45628282,0.48532733,0.5098867,0.52393836,0.5222214,0.50958383,0.49869454,0.5029518,0.5227246,0.5432288,0.5452762,0.5201776,0.47663212,0.43282524,0.40461442,0.39800465,0.4099733,0.43306276,0.4585118,0.47810078,0.4860026,0.48257008,0.47722057,0.4848326,0.51392245,0.5561065,0.58879334,0.5934612,0.5710806,0.53956217,0.5156658,0.5014476,0.48910692,0.47535226,0.4683795,0.4779135,0.50024956,0.5163594,0.50920993,0.4829344,0.46333596,0.4735968,0.51248294,0.55308515,0.56734854,0.5475488,0.5090607,0.476123,0.46362376,0.4731871,0.49427673,0.51608443,0.5308637,0.53849053,0.5414321,0.5450941,0.5544896,0.5743981,0.60125893,0.6235249,0.62434024,0.598578,0.55556506,0.5155563,0.49064648,0.48082957,0.4773614,0.474569,0.4720317,0.47094813,0.47091815,0.46950606,0.46551076,0.45867404,0.45028257,0.4416237,0.43411008,0.42884848,0.42678332,0.42922124,0.43514982,0.44137004,0.44204846,0.43557242,0.42458487,0.41575137,0.41251734,0.41485366,0.42108026,0.43250313,0.45330593,0.48412752,0.51686054,0.53635126,0.5341416,0.5181717,0.5091662,0.52113277,0.5481367,0.56780976,0.5618448,0.5294123,0.48666945,0.45115075,0.43117878,0.42392966,0.42328903,0.42623714,0.43261024,0.44204864,0.45055333,0.4550346,0.45487848,0.4535674,0.45340917,0.45475528,0.4557182,0.45467627,0.45085433,0.445241,0.43986106,0.4370971,0.43860698,0.4461529,0.461895,0.4834191,0.5037009,0.512384,0.51122576,0.5112838,0.5277294,0.55779004,0.5858462,0.5910962,0.56916994,0.52838904,0.4871447,0.45814857,0.44864693,0.45507523,0.47053564,0.48642716,0.4994526,0.5093586,0.51870704,0.5300451,0.5475129,0.57159495,0.59585476,0.6059601,0.59161943,0.5563788,0.5163459,0.48771444,0.47412086,0.46954322,0.46570635,0.4615737,0.4596469,0.4622346,0.46672496,0.47007224,0.47118464,0.4728444,0.47704282,0.48304924,0.4870439,0.48568878,0.47920272,0.47065115,0.4646512,0.46281126,0.46465945,0.46700954,0.46829906,0.46857643,0.46989372,0.4738995,0.48170877,0.4947799,0.51364505,0.5338325,0.54521054,0.5392284,0.5209566,0.50841564,0.5183573,0.547939,0.5755739,0.5781736,0.55076057,0.50709856,0.46812627,0.44591776,0.4422288,0.4502903,0.4637926,0.4759338,0.48220775,0.4785925,0.4669926,0.45381543,0.4476112,0.45013678,0.45518613,0.45271727,0.43960568,0.42333534,0.4160317,0.4235463,0.43916574,0.45139098,0.45301512,0.44814205,0.4445984,0.4471426,0.45199978,0.45204273,0.4419149,0.42190734,0.396175,0.37001052,0.3473034,0.32987773,0.31712747,0.30639014,0.2932969,0.2738932,0.24733303,0.2184028,0.19628762,0.18899171,0.19777651,0.2155117,0.23274423,0.24339883,0.24822992,0.25049022,0.25292757,0.25528434,0.25706607,0.2577829,0.2575673,0.25536236,0.25025362,0.24233283,0.23376493,0.22732471,0.22467144,0.22559093,0.22824651,0.23071337,0.23143367,0.23012756,0.22710258,0.22349954,0.22005732,0.21737699,0.21482565,0.21104543,0.20288183,0.18769152,0.16604435,0.14508508,0.13490218,0.14141653,0.16056974,0.18175596,0.19540389,0.19902124,0.19539535,0.18900476,0.18268539,0.17904149,0.18111329,0.1918572,0.21121316,0.23453236,0.25535998,0.26888195,0.275301,0.27718028,0.2778244,0.27799022,0.27751282,0.2750117,0.2698861,0.26231125,0.25470242,0.25148562,0.2564127,0.2691946,0.28313068,0.28967023,0.2837529,0.2681129,0.24972469,0.23479825,0.22517447,0.2194107,0.21465327,0.2073036,0.19237457,0.16626807,0.13035521,0.09471655,0.07245035,0.07334816,0.097361505,0.1383497,0.1870128,0.23462379,0.27268112,0.29631808,0.30580547,0.30640754,0.3034301,0.29954126,0.29465145,0.28853345,0.28214583,0.27723154,0.27539814,0.27730498,0.2826916,0.29015848,0.29729095,0.3014269,0.3008333,0.29587483,0.28846952,0.2810363,0.27516058,0.27151617,0.27034625,0.27147055,0.2744675,0.27820554,0.28199252,0.2852482,0.28796124,0.28936672,0.28878376,0.2857752,0.28135878,0.27704236,0.27411726,0.27272594,0.2724351,0.27280632,0.27445033,0.2800968,0.2950625,0.3237303,0.36296508,0.39913693,0.41545972,0.40551552,0.37876418,0.35156405,0.33387104,0.32462227,0.32126623,0.32577544,0.34549558,0.37982544,0.41804957,0.44179487,0.44398883,0.43387568,0.43064764,0.44244328,0.45842347,0.46172765,0.4485611,0.4347993,0.43581447,0.45048866,0.459095,0.4480498,0.42254522,0.40391245,0.40492472,0.41952053,0.4293147,0.42488244,0.41500056,0.4147615,0.42802343,0.44029915,0.43650505,0.4149175,0.39031658,0.37601265,0.3735969,0.37482813,0.37558624,0.3835732,0.40895697,0.4504405,0.48867616,0.5018155,0.48260403,0.44380417,0.4064906,0.38447395,0.38088527,0.38916,0.40219823,0.41276214,0.41853324,0.41814098,0.41397193,0.4076371,0.40189585,0.3973198,0.39480612,0.3950212,0.40001202,0.4110751,0.42623362,0.4369515,0.43101764,0.39942825,0.34542012,0.2829094,0.22876246,0.1921313,0.17329787,0.1676289,0.17088307,0.1801058,0.19147487,0.19985016,0.20004417,0.19091399,0.17528655,0.1587248,0.14512646,0.1366476,0.13624872,0.15145828,0.19328327,0.26402345,0.3492022,0.41868964,0.44891015,0.43717036,0.40276286,0.36951375,0.35217202,0.35492113,0.37584302,0.41316876,0.46042112,0.5051084,0.5287616,0.5207396,0.48593172,0.44344378,0.4121662,0.3997506,0.40259805,0.41273198,0.42460895,0.43334043,0.4322965,0.4126047,0.37070084,0.3131341,0.2547556,0.20905393,0.18079674,0.16670495,0.16097036,0.16118665,0.16704808,0.1776144,0.18732041,0.18998577,0.18277782,0.1699007,0.15807755,0.1521156,0.15322445,0.16369556,0.19124724,0.24468692,0.322734,0.40546307,0.4634734,0.47777772,0.45440778,0.41725913,0.38947776,0.37973905,0.3864198,0.40643874,0.44009647,0.4820067,0.51760274,0.5264189,0.49949566,0.4455278,0.38742688,0.34562576,0.32943973,0.33621725,0.3573816,0.38265458,0.40011036,0.39835492,0.37030825,0.3200043,0.26120105,0.2103511,0.17601185,0.15681435,0.14659858,0.14220555,0.14547531,0.15795298,0.17599978,0.18998648,0.19247921,0.18300152,0.16917415,0.1586708,0.15492404,0.15618442,0.1598927,0.16569145,0.17378597,0.18340792,0.19092149,0.19756067,0.21105742,0.24592139,0.30293036,0.36487496,0.398981,0.39330003,0.36496726,0.3523871,0.37203255,0.4072028,0.42138326,0.39529932,0.33761582,0.2740257,0.2232001,0.19136137,0.17616747,0.17794418,0.19658153,0.2274688,0.2559282,0.26948708,0.26852933,0.27387926,0.30432436,0.35957608,0.40911615,0.42213705,0.3878803,0.32721543,0.2675413,0.22597879,0.20282562,0.19361098,0.19745266,0.21398993,0.23779352,0.25564817,0.26103,0.26284721,0.28728208,0.34986964,0.43905458,0.5116193,0.53116983,0.49160567,0.426378,0.37461653,0.3585948,0.37352243,0.40348208,0.43457428,0.46091256,0.4831678,0.50369936,0.52366877,0.5398937,0.5479117,0.54555136,0.5366891,0.5285098,0.5269826,0.5320624,0.5360572,0.5266902,0.49323443,0.4353707,0.36420426,0.29730988,0.24684127,0.21517336,0.19739991,0.18953718,0.19183983,0.2050231,0.225237,0.24307375,0.25287983,0.26002064,0.28217426,0.33022964,0.39418206,0.441408,0.44801232,0.4217223,0.40110996,0.4175606,0.4675952,0.514955,0.52595645,0.49487504,0.44617936,0.40969464,0.40170908,0.42022145,0.45569527,0.50187594,0.5518984,0.59431297,0.6086331,0.58250135,0.52089804,0.45088854,0.40198752,0.3916279,0.41603783,0.45904446,0.5004782,0.52352977,0.5166147,0.47694042,0.41292962,0.3418931,0.2814403,0.24027301,0.21640114,0.20355202,0.1985038,0.20319897,0.219314,0.24470986,0.2732688,0.3023045,0.33452293,0.37574494,0.4219799,0.45779333,0.46442902,0.4426849,0.4170002,0.41862872,0.45555553,0.5032299,0.5256639,0.50457984,0.45264745,0.39970085,0.3709555,0.37544551,0.40763888,0.4580672,0.5154837,0.5669265,0.595745,0.5894234,0.54909915,0.4914416,0.44151843,0.41687632,0.42214003,0.44792572,0.48137578,0.5081612,0.5161896,0.494915,0.44335064,0.37186575,0.29984528,0.24319625,0.20843823,0.1927954,0.19312079,0.21010141,0.24689777,0.2992234,0.35113552,0.38197228,0.3857925,0.3805544,0.39514127,0.44058552,0.49722108,0.5289363,0.51456875,0.46034464,0.3929993,0.33542898,0.29833394,0.28047556,0.28218415,0.30710688,0.35864592,0.42881504,0.49978027,0.55214506,0.57986623,0.5891153,0.5911917,0.58949894,0.584289,0.57738227,0.57714814,0.585529,0.5933853,0.5832348,0.5486793,0.50187284,0.46675873,0.45984244,0.4779375,0.5058193,0.52921444,0.5475917,0.5643125,0.57814986,0.5775217,0.55570096,0.5211558,0.49449554,0.49080324,0.50637245,0.52583224,0.5359667,0.5373071,0.53750306,0.5414681,0.5453177,0.5433428,0.5380239,0.5401411,0.55681175,0.57990474,0.5884927,0.5677261,0.5214507,0.4727874,0.44420123,0.44508734,0.46699986,0.49513504,0.5172226,0.52780956,0.52727705,0.5198495,0.5136549,0.5177636,0.5360927,0.561354,0.57654095,0.5672985,0.5344962,0.49443638,0.46438244,0.446812,0.4290056,0.39720568,0.35047045,0.30125558,0.263194,0.24177182,0.23385222,0.23661554,0.25394925,0.2948204,0.36397693,0.4522867,0.53876543,0.6016479,0.6314919,0.6329752,0.61770415,0.5970755,0.57793164,0.5645256,0.5578689,0.55916244,0.5679672,0.58268124,0.5976448,0.60600656,0.60123825,0.58114344,0.5498722,0.5199566,0.50776154,0.5214111,0.5517232,0.57463914,0.56920385,0.53271794,0.48267588,0.44371343,0.43092623,0.44483507,0.47371617,0.504682,0.5255451,0.52791965,0.504726,0.4570727,0.39483306,0.33580658,0.29389465,0.27325282,0.2670339,0.26642057,0.2688903,0.28248942,0.32083842,0.38926318,0.47639784,0.5557557,0.6061679,0.62090874,0.61012006,0.58427715,0.555142,0.5332615,0.53197736,0.5515511,0.5764376,0.5803213,0.54991233,0.49377012,0.43759465,0.404001,0.40107977,0.42115614,0.4496188,0.47363523,0.48674384,0.48961303,0.48714915,0.48706177,0.49725404,0.52273303,0.55849725,0.58825916,0.5919567,0.5624366,0.5136799,0.47252896,0.45936033,0.47309172,0.49658942,0.509775,0.5056856,0.4893997,0.4724147,0.462347,0.4610642,0.4666158,0.47557974,0.48430106,0.48874053,0.48817685,0.48626196,0.48984978,0.50232476,0.52113634,0.5383841,0.54722667,0.54498774,0.53418106,0.5190275,0.5030915,0.49006674,0.484803,0.4928445,0.51234615,0.53126186,0.5321908,0.50966614,0.47859505,0.46502623,0.48272252,0.5192593,0.5448112,0.53685516,0.49610937,0.44504273,0.4075823,0.395835,0.4054302,0.4267207,0.45124495,0.47419453,0.4908254,0.49824867,0.49961546,0.5054972,0.5249137,0.5550516,0.57871467,0.5764546,0.54263926,0.49112895,0.4475144,0.43024978,0.4417034,0.46900174,0.49841762,0.5216209,0.5337624,0.5283396,0.5032863,0.47186998,0.46044073,0.48652896,0.5393471,0.5829618,0.5854061,0.5423886,0.4791461,0.42894366,0.41133156,0.4250282,0.4553201,0.4864502,0.5096144,0.5229134,0.5299762,0.535219,0.54426193,0.56008,0.5803671,0.5943547,0.5872492,0.55259556,0.50102013,0.45431253,0.4283862,0.41812193,0.40627265,0.3778578,0.3358319,0.29198286,0.2581354,0.23675613,0.2272166,0.23084708,0.2542604,0.30477798,0.3817444,0.47235432,0.5536337,0.6071618,0.6260987,0.6185586,0.59623337,0.57167745,0.5532568,0.54762775,0.5561893,0.57594866,0.6000878,0.6210764,0.63327765,0.6336429,0.6209638,0.5955663,0.56213045,0.5332797,0.5248963,0.54364496,0.57671756,0.59751076,0.58509594,0.5402818,0.48405668,0.44208634,0.42804584,0.440815,0.46874532,0.49918905,0.51972455,0.5202275,0.49334797,0.44122013,0.37644443,0.31775197,0.27835572,0.2603331,0.25624764,0.2589376,0.26883885,0.296034,0.35063896,0.4314963,0.5205783,0.5939672,0.63626844,0.64568377,0.62787557,0.590266,0.54624027,0.5144769,0.5097987,0.53006536,0.5582026,0.57708216,0.58269185,0.5840563,0.59065014,0.60088116,0.60071665,0.5755887,0.5250505,0.46627423,0.42317078,0.40959445,0.4239031,0.45523408,0.49523067,0.5385576,0.5767507,0.59454817,0.579835,0.5382084,0.49294552,0.47030973,0.47783372,0.50398344,0.53049475,0.55078125,0.568911,0.5869532,0.5963955,0.5822367,0.54176015,0.4865838,0.44023123,0.416132,0.41743994,0.43533245,0.46445814,0.5007501,0.53902364,0.5669363,0.56949735,0.54335266,0.50074357,0.46574578,0.45340607,0.4626402,0.4785049,0.48812458,0.488068,0.48290935,0.4783927,0.47774887,0.4818076,0.49056387,0.50315386,0.51819175,0.53240925,0.5422589,0.5450005,0.5421724,0.53810805,0.5366881,0.53773147,0.5382077,0.53728867,0.5363857,0.537326,0.5367682,0.53086215,0.51820034,0.5040596,0.4930787,0.48594674,0.47824264,0.467754,0.4578114,0.4559039,0.46715918,0.48905888,0.51189035,0.5252042,0.5255377,0.5182958,0.5112698,0.5076069,0.5038269,0.49443915,0.4752841,0.4449862,0.4051546,0.36133876,0.32149455,0.29139647,0.27182627,0.25971076,0.25264326,0.25002763,0.25182286,0.2564083,0.26101848,0.26341417,0.26228917,0.25707838,0.2469244,0.23164962,0.21208967,0.19029622,0.16822845,0.14705001,0.12771711,0.1113528,0.09951634,0.093500495,0.094985634,0.10628468,0.12785758,0.15552832,0.1791204,0.18950927,0.18482922,0.17389756,0.16882496,0.17672801,0.19481808,0.21381126,0.22515593,0.22551893,0.2166702,0.20142074,0.18107603,0.15637483,0.13063955,0.1124462,0.111569226,0.13269272,0.16921341,0.20779769,0.23616903,0.25075528,0.25461233,0.2534052,0.25106302,0.25017443,0.25068238,0.25035608,0.24503423,0.23317634,0.21742694,0.20319398,0.19425564,0.19085836,0.19147074,0.19449861,0.1989222,0.20453669,0.21146427,0.22033717,0.22931938,0.23605941,0.23876418,0.23968987,0.24155672,0.2438051,0.24045585,0.22550471,0.20024681,0.17576109,0.16549776,0.1754216,0.1997389,0.22740407,0.24951608,0.26202926,0.26198325,0.24660574,0.21659358,0.18044166,0.15154529,0.14089553,0.14990045,0.17181654,0.19633903,0.21676745,0.23083381,0.24045129,0.24714887,0.2510277,0.25104252,0.24806875,0.24539335,0.24602352,0.24971218,0.25316322,0.2536517,0.2511954,0.24726367,0.24242778,0.23617095,0.2291,0.2227416,0.21791506,0.21245259,0.20329666,0.18904571,0.17168103,0.15499745,0.14202718,0.13389061,0.12949395,0.12733056,0.12573643,0.12349317,0.11845902,0.10853693,0.093401514,0.07712801,0.067051016,0.06875876,0.081527926,0.09808292,0.110925436,0.11690716,0.11853243,0.11930665,0.12111702,0.1231804,0.124023356,0.12253112,0.11871138,0.11351687,0.10839816,0.104587205,0.102643885,0.102521725,0.10387784,0.106275685,0.10920622,0.11204454,0.11409837,0.114856325,0.114198826,0.112675734,0.111014955,0.10979599,0.108691305,0.107027024,0.10498314,0.105457075,0.114518486,0.13758062,0.17501438,0.21869767,0.25726312,0.28097817,0.28647837,0.2733294,0.24413164,0.20502807,0.16904414,0.15110339,0.15935986,0.1883219,0.22229032,0.24698555,0.25771663,0.26003918,0.26176623,0.2673435,0.27558395,0.2822123,0.28307906,0.27658674,0.2649853,0.25309852,0.24629499,0.24760246,0.25648758,0.26935816,0.2816181,0.2896521,0.29176906,0.2883202,0.2815446,0.27459332,0.27023986,0.2697046,0.27270293,0.27789947,0.28317162,0.28628206,0.28602612,0.2827605,0.27784407,0.27211294,0.26694313,0.26435652,0.26724657,0.27584293,0.2874019,0.29718196,0.30222318,0.30207777,0.29804423,0.29069528,0.27883425,0.25876817,0.22749168,0.18628265,0.1455109,0.12060868,0.12475092,0.15792793,0.20745553,0.25435376,0.28614876,0.30058205,0.30397674,0.30327138,0.30254424,0.30205396,0.300571,0.2967366,0.29015186,0.28122017,0.27068815,0.2588766,0.24589032,0.23186897,0.21731569,0.20297061,0.18963327,0.17861736,0.17172416,0.17222445,0.18232606,0.20200391,0.22594261,0.24805932,0.26351097,0.27255097,0.27632782,0.27552688,0.2686768,0.25537792,0.23881264,0.22516353,0.22048932,0.22534895,0.23560421,0.24492304,0.24973638,0.24849351,0.2403224,0.224407,0.2032897,0.18480782,0.17971678,0.1938873,0.22370927,0.25665197,0.2796275,0.28421852,0.27027062,0.24415024,0.21799417,0.20448005,0.21070254,0.23263586,0.25807598,0.2750678,0.28064263,0.28063533,0.28237423,0.28570485,0.28281248,0.26574248,0.23613833,0.20592351,0.19038026,0.19679363,0.22110836,0.25042516,0.27258,0.2804794,0.2749187,0.26150748,0.24926005,0.24484682,0.24953024,0.2576463,0.26287878,0.26292992,0.26077068,0.2593182,0.25834608,0.25458327,0.24552996,0.23097585,0.21429448,0.2012385,0.19962923,0.21413726,0.24323483,0.2768549,0.30330315,0.31505787,0.31397316,0.3068708,0.30080548,0.29794216,0.2971048,0.29587483,0.2930337,0.28778902,0.2802656,0.27168345,0.2650082,0.26219034,0.26307848,0.26543674,0.2681521,0.27171507,0.2770995,0.2837933,0.28980598,0.29318097,0.29208633,0.284202,0.26542848,0.23257656,0.18762238,0.14242354,0.115968436,0.12506546,0.17116411,0.23661964,0.2937726,0.32306972,0.32366005,0.31036666,0.30165216,0.3087089,0.33443555,0.3754283,0.4297129,0.49334422,0.55844766,0.60808426,0.6276433,0.61631083,0.5891418,0.5654649,0.55367893,0.5526796,0.5569927,0.56508404,0.5765412,0.5901876,0.6031046,0.61325264,0.6221195,0.6332639,0.64718527,0.6574777,0.65263253,0.6273841,0.5881149,0.5504609,0.5252088,0.51290596,0.50807947,0.5080686,0.5146747,0.5281965,0.54465634,0.5579551,0.56430864,0.5639875,0.55872935,0.5513126,0.54357153,0.5379122,0.53537613,0.53599477,0.53782994,0.5379403,0.53441525,0.52755743,0.5215102,0.52030873,0.5254503,0.53283143,0.5376466,0.5389853,0.541593,0.5501575,0.5612956,0.56526285,0.5544018,0.53591156,0.527152,0.5420761,0.57417876,0.6006411,0.6000583,0.57085365,0.5307126,0.5001285,0.4872799,0.4862953,0.48776674,0.48747575,0.48653254,0.4867169,0.4869436,0.4863031,0.48563063,0.48791823,0.49445805,0.5030071,0.51009876,0.51252466,0.51135373,0.50764245,0.5046008,0.5031395,0.5081146,0.52224517,0.54758,0.5746813,0.59207416,0.5892918,0.5737327,0.5614483,0.5699362,0.59730655,0.62638074,0.6339128,0.61266774,0.57298666,0.53654534,0.5169342,0.5164739,0.52623445,0.53744036,0.54285413,0.54033333,0.53094584,0.5210576,0.5201369,0.5364984,0.5695107,0.60609394,0.6275559,0.62223226,0.5961979,0.5653503,0.54401666,0.5320217,0.522778,0.51039493,0.4979466,0.49153233,0.4947865,0.50648326,0.5219355,0.53772855,0.55035406,0.5582597,0.5595464,0.5563731,0.55246025,0.5529298,0.5568052,0.55961967,0.5546833,0.5425933,0.5276504,0.51717764,0.513114,0.5152011,0.5201224,0.5267248,0.5340183,0.54136604,0.54389215,0.5360114,0.5169893,0.49860373,0.49826494,0.5242575,0.5641356,0.59245753,0.5910394,0.56311136,0.527694,0.5035418,0.49632636,0.50204635,0.51321596,0.52613384,0.53690153,0.54265255,0.539886,0.5331128,0.53146476,0.5466855,0.57745665,0.6094618,0.6209067,0.602748,0.56481266,0.52830714,0.5093742,0.5099871,0.52398014,0.54314697,0.56455773,0.58441764,0.5992016,0.6019578,0.59383726,0.582453,0.5822427,0.59683174,0.617665,0.6240503,0.60375506,0.5589233,0.5099295,0.47677663,0.47010234,0.4836121,0.50496584,0.5234156,0.5360717,0.5448989,0.55318904,0.56427413,0.58102113,0.60396963,0.62698865,0.6389362,0.63091284,0.6044101,0.5693652,0.5367282,0.5118808,0.49619195,0.48923978,0.49034595,0.49742627,0.5085283,0.52255327,0.53915423,0.556305,0.5695575,0.5739816,0.5678206,0.55496293,0.54276097,0.537431,0.5393891,0.5439895,0.54562443,0.5425058,0.5370737,0.5322116,0.52831846,0.5234285,0.5176733,0.5150707,0.52174705,0.53996533,0.5618269,0.5719254,0.55718887,0.5240539,0.49641588,0.50009817,0.5355492,0.5784261,0.5961769,0.5779189,0.5357414,0.4953048,0.47211543,0.4697659,0.48096776,0.5000772,0.5212118,0.53893423,0.5453171,0.5372245,0.5191347,0.50165325,0.4933212,0.49541673,0.50402474,0.51390654,0.5217076,0.52485824,0.5222244,0.5149743,0.5078946,0.5079555,0.5213013,0.54797345,0.5791004,0.5992419,0.59877723,0.583725,0.5748627,0.58742315,0.6158462,0.63377523,0.6194323,0.57321316,0.51854664,0.48047245,0.469764,0.48072693,0.5008735,0.51985407,0.5328099,0.5397513,0.5449161,0.55403984,0.57279867,0.6021292,0.63536644,0.65813404,0.6558686,0.62591785,0.58097124,0.5404863,0.5152766,0.50256354,0.49343315,0.48274067,0.4719367,0.46478334,0.4639121,0.47032166,0.48359308,0.50149184,0.52004236,0.53540057,0.5458286,0.5515075,0.55286795,0.5502587,0.5430265,0.5313449,0.5147135,0.49638987,0.4809037,0.47365597,0.47246894,0.46895778,0.45346263,0.42497936,0.3946692,0.37637952,0.37691215,0.38621736,0.38975453,0.3794303,0.36459807,0.3592581,0.36793828,0.3797232,0.3804783,0.37008193,0.36143073,0.36795726,0.384829,0.39634696,0.38966212,0.37270725,0.36190966,0.36713997,0.37822232,0.37993458,0.36784878,0.35386053,0.3513,0.35863683,0.36339876,0.35520467,0.34225878,0.33899426,0.35342708,0.37223944,0.37937376,0.37037468,0.36159596,0.3679544,0.38708508,0.40029144,0.39710578,0.39078388,0.40604952,0.4515116,0.50637025,0.5378988,0.529988,0.4938378,0.4567504,0.43979576,0.44930372,0.47677743,0.51008844,0.5386041,0.55821484,0.5682533,0.57216305,0.5752463,0.58456355,0.6009772,0.61555356,0.613249,0.586904,0.5458419,0.5066472,0.4782038,0.45337284,0.42114744,0.37845472,0.33396444,0.29834744,0.2760534,0.2648383,0.26214385,0.27191082,0.30477828,0.36982965,0.4632728,0.56425744,0.6451116,0.68737525,0.69052815,0.6678705,0.6362694,0.6095353,0.5952552,0.5946114,0.60432273,0.6188858,0.6344341,0.6471606,0.65516806,0.6560741,0.6484585,0.6315183,0.6080015,0.5874644,0.58090425,0.5926931,0.6111173,0.61647606,0.5953136,0.55314994,0.50967205,0.48398587,0.48309016,0.5007774,0.5253296,0.5452261,0.5511456,0.5356968,0.49512324,0.43373987,0.36384964,0.30078503,0.25423345,0.22560185,0.21240072,0.21478932,0.23881797,0.29172096,0.37478447,0.47604227,0.57396597,0.64664024,0.6845425,0.6887221,0.66827136,0.63215184,0.59597087,0.5744663,0.5791254,0.60186535,0.62385035,0.6212109,0.5870438,0.53067106,0.47719228,0.44727996,0.44956258,0.4752195,0.50927454,0.5383628,0.55619025,0.56162786,0.5577561,0.551925,0.55394816,0.5699806,0.5936301,0.60755914,0.5943987,0.55548096,0.51168025,0.49026427,0.5018449,0.5342671,0.5643553,0.57559806,0.56845826,0.55324477,0.5415928,0.53780764,0.54103327,0.5478526,0.5549898,0.5594901,0.5588982,0.5541353,0.5498345,0.5521489,0.5633759,0.58000135,0.5947605,0.60107607,0.59608907,0.58198863,0.56395155,0.54790944,0.5383296,0.5389076,0.55176514,0.57213163,0.58828133,0.5861308,0.56652844,0.54465955,0.54245514,0.5629394,0.5899361,0.5960011,0.5699446,0.5199775,0.4707068,0.4405855,0.43711147,0.4527924,0.47741637,0.5002374,0.51556736,0.5196653,0.5149567,0.50943035,0.51615846,0.54142827,0.57703763,0.6013105,0.5952557,0.55946857,0.51341707,0.4836543,0.4822649,0.5060348,0.53879905,0.5691789,0.5900324,0.60021883,0.5953861,0.5773621,0.5557368,0.5492081,0.56463355,0.5912023,0.6032044,0.5864082,0.54482394,0.49993932,0.4697801,0.46409452,0.47941864,0.5073468,0.53570503,0.556149,0.5658206,0.57002735,0.57776636,0.5964692,0.62586707,0.6542867,0.6641789,0.64188623,0.59192353,0.5342919,0.49163496,0.46903655,0.4525912,0.42367697,0.37707415,0.32370698,0.27864888,0.2494464,0.2357232,0.2369414,0.25919068,0.3110472,0.39483032,0.49711755,0.59371835,0.659827,0.68437,0.6708806,0.63525534,0.5961675,0.5695048,0.5621645,0.5722111,0.59274095,0.6159064,0.6355247,0.6471674,0.6509437,0.64873123,0.6418387,0.6269118,0.60436136,0.58239967,0.5762972,0.59158564,0.61611253,0.62527686,0.60328865,0.5564504,0.5086432,0.48310372,0.48678604,0.5109255,0.53876764,0.5564353,0.55372316,0.5267395,0.47672057,0.41259193,0.34680116,0.29091713,0.25028852,0.22477578,0.21354784,0.22067165,0.25527737,0.32386693,0.42061308,0.52527803,0.61313987,0.6687882,0.69108033,0.68759555,0.667017,0.63960224,0.6187042,0.6176273,0.6370268,0.66127574,0.6664176,0.6390302,0.5848533,0.52311957,0.47429693,0.45005858,0.45312706,0.47660562,0.5083007,0.5346038,0.54747415,0.54763365,0.5428579,0.5448083,0.5623084,0.5954651,0.62981,0.64312905,0.62017745,0.569392,0.5184853,0.49725962,0.51304954,0.55044085,0.58185846,0.5908661,0.57670873,0.55270696,0.5321474,0.5236008,0.5274551,0.5398254,0.5530894,0.56041855,0.559467,0.556714,0.5637246,0.58644915,0.61591274,0.63127893,0.6164867,0.57540846,0.5282306,0.49431196,0.474231,0.4549437,0.42479134,0.38905945,0.36232677,0.35311165,0.35325876,0.34924456,0.33776698,0.33003378,0.33640194,0.3524991,0.36149123,0.35239807,0.33244714,0.31944522,0.32369724,0.33642364,0.34257373,0.3354304,0.32773867,0.33364376,0.35691357,0.3807521,0.38877216,0.37660584,0.35876647,0.34916714,0.35044456,0.35374245,0.3539897,0.35705385,0.37139773,0.39571294,0.4147114,0.41513336,0.39766815,0.37989128,0.37586495,0.38451004,0.38798916,0.37180886,0.33361506,0.28421855,0.23393941,0.18975097,0.15413539,0.12947755,0.11566528,0.11054609,0.11023944,0.11221373,0.11509466,0.118303396,0.12066873,0.12124613,0.1196663,0.116879016,0.114364,0.11336591,0.11401994,0.11540661,0.11626169,0.11574451,0.11395085,0.11106465,0.10700277,0.101084165,0.09364595,0.086083196,0.08020755,0.07621836,0.07281176,0.0690349,0.06597533,0.06665855,0.07340706,0.08608195,0.101467006,0.115611404,0.12577176,0.13192183,0.13529442,0.13718222,0.13746683,0.1358397,0.13241571,0.12838443,0.124689996,0.1209312,0.115863,0.1084235,0.09956086,0.09088158,0.084064394,0.07902803,0.075392745,0.072949804,0.07281929,0.076275446,0.08379891,0.094347276,0.105760925,0.116079964,0.12395241,0.12888579,0.1302286,0.12792996,0.12291169,0.117947765,0.11543751,0.11600088,0.11725968,0.116728365,0.11346328,0.10972988,0.108275644,0.110415734,0.11394649,0.11564261,0.114206575,0.11217502,0.11301736,0.117394865,0.122256525,0.12420861,0.12245914,0.118639015,0.114067405,0.10904201,0.10414702,0.10178409,0.10490397,0.113822676,0.1253104,0.13408838,0.137557,0.13639627,0.13409418,0.13306881,0.13436206,0.13741982,0.14146827,0.14568584,0.14920323,0.15129048,0.1514176,0.14993177,0.14781715,0.14638765,0.14589716,0.14545168,0.14325981,0.13850872,0.13160013,0.124160044,0.117444195,0.11198715,0.107652284,0.10430723,0.10278031,0.10397192,0.10862935,0.11514058,0.121246934,0.12442895,0.12470406,0.12309003,0.12079996,0.11730605,0.11142557,0.103201054,0.095055185,0.09099125,0.09383268,0.10375455,0.118028305,0.13254286,0.14310867,0.14694893,0.14402212,0.13728358,0.13125676,0.12885483,0.12973166,0.1308142,0.12936157,0.124819376,0.11914659,0.11474914,0.113118716,0.11375344,0.115416,0.116682775,0.11723378,0.1170893,0.116695754,0.116142295,0.11556383,0.11499894,0.11462661,0.11457452,0.11484149,0.11520464,0.115317285,0.11512739,0.115040176,0.11590788,0.11812214,0.121366195,0.12458167,0.12693714,0.12817806,0.12852742,0.12828733,0.1272911,0.12524852,0.121692516,0.1168885,0.11187184,0.10893196,0.11064517,0.118341826,0.13032986,0.14205392,0.14878951,0.14886542,0.14452161,0.13989319,0.1377364,0.13832015,0.139986,0.14122866,0.14144172,0.14096834,0.14022969,0.13948436,0.13890804,0.13879932,0.13930522,0.14016572,0.14086075,0.1411643,0.14142877,0.14183153,0.14189792,0.1402152,0.13598497,0.1292235,0.12106059,0.11201928,0.10249274,0.09329581,0.08737957,0.08831539,0.09713685,0.10981485,0.119229026,0.12084637,0.115501404,0.107635655,0.10005923,0.09278492,0.08523897,0.07886944,0.07641635,0.078299634,0.081496604,0.08129392,0.07606786,0.06921649,0.065979004,0.06842499,0.072799444,0.07497301,0.07506666,0.07826156,0.088203244,0.10267416,0.1153462,0.120723285,0.11829319,0.11106167,0.10383115,0.099859186,0.100219816,0.10376632,0.10927058,0.11660445,0.12586935,0.13550757,0.14201881,0.14250152,0.13723052,0.1296128,0.123414926,0.120173,0.11923293,0.11962914,0.12145091,0.12487575,0.1288013,0.13074988,0.12907107,0.124299146,0.11889476,0.114722915,0.11180062,0.10849709,0.10398033,0.09959677,0.09834173,0.102166824,0.11007164,0.11875168,0.12507628,0.12791915,0.12832958,0.12807357,0.12887909,0.1315622,0.13670024,0.14427303,0.15353207,0.16219778,0.16718602,0.16701926,0.16300148,0.1585889,0.15567811,0.15386237,0.15127431,0.14769499,0.14412026,0.14135237,0.13826568,0.13329345,0.12594648,0.11754503,0.109371446,0.10217777,0.095579624,0.090166,0.08699652,0.0890236,0.09768794,0.11204039,0.1261882,0.13405865,0.1330737,0.126722,0.12002609,0.11486611,0.10934523,0.10187236,0.0949788,0.0931891,0.09832978,0.106843114,0.11357985,0.116238296,0.11665847,0.117144965,0.11772285,0.1162706,0.11148962,0.1048567,0.100085884,0.100404374,0.10609449,0.114522554,0.12224337,0.12699704,0.12807018,0.12564257,0.12084964,0.115541846,0.11193306,0.11075756,0.11133657,0.111886024,0.11172893,0.11113236,0.111291,0.11221983,0.112461485,0.10903877,0.099957995,0.08634477,0.07244364,0.06254708,0.05702816,0.052863356,0.04702573,0.040326234,0.0357571,0.03518282,0.037236296,0.039488897,0.040478937]