[0.3226487,0.31815276,0.31089827,0.30454078,0.30305627,0.3011571,0.2956669,0.28651133,0.28169253,0.28284988,0.28313866,0.2716016,0.2454149,0.21079284,0.17683983,0.14942113,0.13077754,0.12068627,0.116526484,0.11441719,0.1111222,0.1069417,0.10338072,0.10417258,0.1123397,0.13432913,0.1704433,0.21603243,0.25452128,0.2754598,0.27515456,0.26378,0.24750073,0.2285304,0.2035253,0.17414296,0.14508691,0.122000486,0.10787203,0.10551319,0.11527809,0.13364822,0.15141855,0.16233182,0.1666194,0.17076963,0.17636453,0.17858486,0.16946419,0.15028667,0.13106789,0.1264518,0.14070785,0.16681342,0.18669455,0.1886248,0.17088874,0.1475275,0.13130601,0.12761725,0.12711106,0.12092269,0.109060764,0.103631586,0.11326686,0.13376544,0.14858736,0.1464584,0.13025539,0.117958255,0.123466246,0.14742778,0.17223306,0.18282776,0.17817684,0.17825194,0.20194936,0.25226116,0.3083845,0.34526172,0.34945598,0.3284922,0.29906026,0.27586663,0.2633641,0.26065806,0.2645457,0.27539065,0.28987396,0.30296052,0.30189076,0.28260675,0.24794012,0.21362676,0.18777923,0.17069288,0.15187229,0.1265406,0.09947523,0.08629944,0.10211489,0.14930722,0.21279864,0.26714993,0.2973716,0.30558154,0.30694833,0.30848762,0.30752996,0.29675063,0.27831328,0.25998855,0.2483359,0.24225883,0.23620528,0.22616915,0.21120077,0.19521528,0.181808,0.17514817,0.17360342,0.17398863,0.17034371,0.16204743,0.15352754,0.15394907,0.16852725,0.19447683,0.22065018,0.23498034,0.22836262,0.20117657,0.16044681,0.119569935,0.089173675,0.07771439,0.09059257,0.13044238,0.1922319,0.2593844,0.3113116,0.33303097,0.3240145,0.29636118,0.2656704,0.24565618,0.2404658,0.24906743,0.26141432,0.26579157,0.2500066,0.21171932,0.16007291,0.11365828,0.090060346,0.09648491,0.12812044,0.17102395,0.21196444,0.2394588,0.25182527,0.2502591,0.24231113,0.22870477,0.20882569,0.17930885,0.14683767,0.1269856,0.13675262,0.18059476,0.24064557,0.28862992,0.30052635,0.2755387,0.22921185,0.18435001,0.1545832,0.146446,0.16056745,0.19653238,0.2442091,0.28600147,0.30097282,0.28530896,0.25038058,0.21885125,0.20291501,0.20482075,0.21568602,0.22592305,0.22818647,0.22411102,0.22756822,0.25479707,0.30883273,0.367999,0.40188408,0.39457992,0.35664022,0.312641,0.28293285,0.27713796,0.2943685,0.32638943,0.35679126,0.36864138,0.35318628,0.317111,0.2776136,0.249864,0.2369193,0.23043907,0.22356187,0.22037445,0.23114622,0.2604536,0.29848108,0.33402786,0.359378,0.3763269,0.3781711,0.35859856,0.31343445,0.26143774,0.22617324,0.2246748,0.24614334,0.26788202,0.2743976,0.27399394,0.28632608,0.31814352,0.3541346,0.37086225,0.35905227,0.32571462,0.2815738,0.23045628,0.17477041,0.123755835,0.09331783,0.09397801,0.12258339,0.16196421,0.19220358,0.20152904,0.19419241,0.19088404,0.2159832,0.28210565,0.3712332,0.4466395,0.47053048,0.43531963,0.3587922,0.2737741,0.204277,0.16438025,0.16160679,0.19719374,0.26134676,0.3253867,0.36092165,0.3542836,0.32104245,0.28421858,0.26090112,0.25101262,0.25021902,0.25286436,0.25471652,0.2506561,0.24125558,0.23513035,0.2412676,0.25817624,0.2698711,0.26158217,0.2303706,0.18932486,0.15192272,0.12662488,0.115979455,0.124717385,0.15583135,0.20448954,0.2539738,0.28537175,0.28734878,0.26294124,0.22445573,0.18833797,0.16754307,0.16552936,0.17309259,0.17379762,0.15935709,0.1387372,0.13030256,0.14367948,0.16852343,0.18816306,0.19456542,0.19930857,0.21694851,0.25160033,0.28552756,0.29543927,0.26828608,0.21359138,0.15302052,0.108435296,0.09280116,0.109235935,0.15110272,0.20339203,0.24833973,0.2723554,0.2691923,0.2424323,0.20085381,0.15834023,0.123603165,0.100774795,0.08513109,0.07241575,0.060409825,0.05379264,0.057378758,0.07245492,0.09151667,0.10475419,0.10557273,0.09786887,0.09055728,0.09153879,0.09943763,0.107130446,0.10858954,0.10731382,0.115729205,0.14393504,0.18893234,0.22854161,0.23890571,0.21094795,0.16570717,0.13833177,0.15536566,0.21377529,0.28542557,0.33964118,0.36320817,0.3633068,0.35455787,0.34236717,0.3251852,0.29814017,0.26756695,0.24255222,0.23256834,0.23706634,0.25010365,0.26210582,0.26391426,0.25182658,0.2311433,0.21448416,0.20970233,0.21407002,0.2189685,0.22458287,0.23813002,0.26485345,0.2925944,0.30503348,0.29354283,0.27134493,0.25601777,0.25785053,0.26906827,0.27609757,0.2675749,0.24348612,0.21155019,0.18415199,0.16814022,0.16245396,0.15729809,0.14401968,0.119165815,0.0877198,0.058750857,0.042874202,0.048836228,0.07761208,0.120088734,0.15719067,0.1735638,0.16525127,0.14316672,0.12042574,0.10488244,0.09672752,0.09570601,0.10295984,0.11828881,0.13505748,0.14286108,0.13509007,0.11605989,0.09910923,0.09748739,0.113629125,0.13702117,0.15082593,0.14461525,0.11924381,0.08613857,0.059958085,0.055181626,0.08044359,0.13121265,0.18840523,0.22663987,0.23547556,0.22325413,0.20942833,0.20200771,0.19653602,0.18401639,0.16444421,0.14524901,0.13232662,0.12465486,0.11502833,0.099675365,0.0817681,0.071587175,0.07574581,0.091274045,0.10562705,0.108163245,0.098106176,0.086299926,0.08800436,0.11732874,0.17719145,0.2537899,0.3157469,0.33629334,0.31138954,0.2654374,0.22616772,0.20796047,0.2059083,0.21018745,0.21210487,0.20851593,0.19993591,0.18957295,0.18043494,0.17215665,0.16266452,0.14895137,0.13093849,0.111802585,0.100424856,0.108088516,0.14163315,0.19574308,0.25317392,0.29277134,0.30163097,0.27864465,0.23700197,0.19227807,0.15741123,0.13242386,0.1149022,0.105617605,0.11296412,0.14057936,0.17865922,0.20750149,0.21133077,0.19261163,0.16907257,0.1652199,0.19514215,0.26019648,0.34789813,0.44133818,0.51924485,0.5618519,0.5573364,0.5133363,0.45164052,0.39541233,0.35460672,0.33108804,0.3206763,0.3172009,0.30915463,0.29205108,0.27018705,0.25570604,0.25072482,0.25075373,0.24605644,0.23590404,0.2224155,0.21396996,0.21735232,0.23672992,0.26524186,0.288362,0.2934645,0.2794612,0.25514644,0.2294389,0.20452626,0.1790183,0.15139116,0.123684414,0.09644321,0.07257443,0.05696431,0.060611207,0.08912275,0.13678615,0.18342048,0.2126563,0.22103053,0.22134973,0.22226675,0.2251429,0.22087288,0.20588672,0.1792439,0.14811772,0.12202239,0.11468786,0.13274167,0.17119825,0.21318062,0.24411793,0.25849935,0.26020458,0.25186756,0.23335676,0.20422791,0.16929708,0.13513714,0.10547129,0.07900935,0.056907535,0.045664374,0.05828494,0.0990602,0.16154765,0.2227935,0.26461214,0.27454078,0.25681332,0.21703166,0.1680768,0.12350658,0.10376107,0.12158238,0.17890935,0.25655952,0.32857773,0.36836967,0.36750484,0.3312724,0.27562502,0.21377431,0.15503846,0.109045185,0.0890337,0.10842619,0.16848807,0.25314188,0.33365855,0.38667655,0.40279952,0.39006245,0.36043465,0.3289628,0.30527225,0.29656816,0.30097768,0.3103907,0.3150809,0.30856094,0.29385647,0.2780327,0.26926732,0.26494157,0.25427344,0.22818655,0.195041,0.180936,0.20707534,0.26995206,0.33614334,0.3734598,0.370549,0.3478702,0.32703248,0.31934595,0.31326044,0.29788288,0.2638728,0.21499486,0.15775351,0.1082975,0.083476365,0.09651158,0.14199992,0.19714753,0.23047556,0.22446786,0.18427925,0.13716535,0.11125853,0.119772695,0.15349872,0.18956302,0.20884205,0.20198244,0.17385669,0.13276528,0.09150171,0.059145737,0.041262478,0.034876198,0.03271397,0.028618932,0.021586621,0.015947443,0.017724894,0.03235325,0.060190577,0.09347395,0.11762124,0.120141566,0.10108132,0.07469442,0.061039288,0.07208354,0.10403991,0.14034009,0.16486138,0.17335562,0.17355996,0.17422609,0.17709331,0.1778117,0.17458026,0.1703483,0.17213719,0.18377517,0.204511,0.22658251,0.2408113,0.24109536,0.22987485,0.21671085,0.21471052,0.23276179,0.27080694,0.31421494,0.34196004,0.3366835,0.2999458,0.24788307,0.20074098,0.16909577,0.15530157,0.15947808,0.18143646,0.21484907,0.24482737,0.25563285,0.24131571,0.20826949,0.1697665,0.14141366,0.13850635,0.17245138,0.24026942,0.32069898,0.38143292,0.39818156,0.36979052,0.3144033,0.25882438,0.2197554,0.20393717,0.20270018,0.20511092,0.20047553,0.190754,0.18267713,0.18113594,0.18076658,0.17112505,0.14734219,0.11627633,0.09630657,0.107774474,0.16143848,0.24971394,0.3472085,0.423721,0.45719516,0.4424845,0.39028654,0.32449695,0.27390686,0.2577778,0.2725109,0.29285967,0.29062936,0.2537853,0.19249438,0.13042651,0.09186143,0.090871304,0.12402215,0.1729391,0.21075867,0.21888435,0.19256586,0.14825137,0.109862514,0.098249964,0.11371648,0.14149968,0.16395527,0.17495966,0.1786832,0.18185794,0.19119036,0.21204472,0.24623589,0.2847397,0.31283507,0.32022625,0.31023026,0.29510823,0.28612235,0.28728142,0.29336143,0.29601994,0.28914616,0.27770412,0.27151898,0.27673677,0.28687742,0.29037085,0.28389025,0.27281633,0.2672306,0.26488748,0.25923434,0.24017227,0.21039288,0.1792352,0.15987402,0.15942697,0.17504282,0.19647871,0.20820384,0.20224173,0.18210961,0.16605438,0.16879047,0.19271563,0.22214764,0.24257064,0.24593805,0.23529029,0.21459426,0.1940462,0.18819053,0.21009378,0.2536588,0.29478303,0.3072684,0.2870688,0.25050297,0.21892168,0.19827545,0.18176965,0.16203322,0.14456074,0.14514522,0.17440088,0.22710633,0.27995294,0.31330654,0.31650886,0.29940447,0.27410546,0.26088268,0.26796708,0.2946515,0.32081738,0.3305572,0.32278275,0.31332624,0.3167646,0.3306153,0.34271562,0.33891964,0.3196559,0.2923468,0.26838565,0.25039688,0.23683035,0.2280426,0.2292238,0.24292433,0.2597632,0.26381135,0.24541177,0.21169941,0.17979221,0.1644632,0.16533066,0.17167574,0.16856487,0.15385847,0.13724256,0.14133692,0.17793469,0.24292825,0.30730128,0.3456926,0.34468508,0.31761572,0.2819328,0.2534178,0.23368955,0.2205437,0.21027541,0.20365132,0.20297082,0.20932715,0.22021616,0.23028898,0.23749737,0.24253489,0.24738128,0.24711728,0.23449464,0.20689718,0.17473479,0.15603785,0.1616578,0.18561818,0.20719999,0.20888142,0.1855576,0.14915879,0.1170538,0.11012264,0.13821326,0.19850437,0.26544222,0.31058362,0.31304547,0.27675405,0.21795255,0.15890028,0.11646835,0.1032525,0.12226782,0.16256823,0.20086561,0.21599026,0.20748867,0.19718723,0.2107294,0.2520907,0.2992483,0.32002386,0.3000401,0.25089064,0.20512833,0.1902445,0.21753919,0.27676085,0.34787655,0.40886673,0.43945137,0.4330913,0.3946149,0.34542874,0.29986307,0.2670531,0.2434508,0.22850434,0.22037745,0.2174673,0.21351229,0.20367114,0.18887669,0.17589432,0.17103975,0.17349584,0.17745918,0.17509569,0.16338383,0.14190905,0.11497528,0.087325275,0.06624312,0.05745888,0.06325337,0.07833585,0.0915111,0.09301136,0.0798577,0.058381855,0.039151642,0.033404518,0.049558323,0.08808982,0.14177383,0.19441426,0.23456042,0.25671816,0.2669558,0.26951417,0.2657125,0.25066996,0.22192353,0.18398325,0.14856015,0.12939833,0.13121524,0.1458777,0.15543796,0.14718227,0.1235959,0.10323098,0.106377244,0.14374219,0.20481515,0.26606634,0.29690304,0.28499198,0.23715155,0.18152238,0.13934699,0.12038562,0.11885506,0.13334443,0.16679315,0.22223563,0.2878888,0.34010485,0.35587242,0.32942176,0.27703702,0.22611015,0.20136099,0.20725124,0.23388584,0.26044568,0.27833644,0.28631827,0.29606637,0.31115603,0.33009255,0.33843994,0.32938698,0.306816,0.28882053,0.2870678,0.29784954,0.3050945,0.2926356,0.25619394,0.20043318,0.1423369,0.10298007,0.10487222,0.15370025,0.2333303,0.31035972,0.35898447,0.37676486,0.38130474,0.38992712,0.40392962,0.41233394,0.40308926,0.37712845,0.34426084,0.3180282,0.30131266,0.288989,0.26999995,0.23927967,0.19864638,0.15881608,0.132541,0.12894605,0.14705367,0.17640762,0.20357883,0.21834137,0.21887958,0.20864327,0.19450021,0.17938985,0.16519015,0.15214254,0.14477354,0.14692457,0.16086553,0.18281251,0.20417422,0.21447085,0.20644315,0.18197542,0.15034041,0.12228214,0.10323582,0.09446418,0.09791858,0.12007513,0.16342984,0.22174783,0.27264258,0.295758,0.28084245,0.24266197,0.2034222,0.18259609,0.18233566,0.19704694,0.21990101,0.2474217,0.2731432,0.285333,0.272795,0.23375432,0.18005593,0.12986489,0.09875288,0.09192782,0.104786254,0.12839092,0.15501024,0.18141316,0.20327365,0.21422128,0.20674114,0.17996846,0.14087324,0.1007266,0.071155995,0.060199033,0.07128555,0.09992528,0.13647386,0.17119105,0.19841601,0.21737647,0.22814965,0.23320514,0.23441894,0.23418503,0.22973035,0.2193231,0.20567703,0.19991398,0.21119319,0.2358561,0.25835347,0.26102704,0.24048685,0.20510863,0.173102,0.16030887,0.17896044,0.22776012,0.2915204,0.34406865,0.36490715,0.34932098,0.31001952,0.26557258,0.23007758,0.20734923,0.1938171,0.1840968,0.17700581,0.17426497,0.17797737,0.18474205,0.18857716,0.18334432,0.16878478,0.14965199,0.13347566,0.12519279,0.12532963,0.13051918,0.13820003,0.14630386,0.15458745,0.16246645,0.17400406,0.19382383,0.22351618,0.2538048,0.27140054,0.26600146,0.23917355,0.19822137,0.15443477,0.11812929,0.10491077,0.12807335,0.19203854,0.2795585,0.3604162,0.40598512,0.40753618,0.37564453,0.3309001,0.28990367,0.26068643,0.24142082,0.224935,0.2016054,0.16775034,0.12872995,0.09996457,0.09488848,0.11559596,0.14777555,0.17389281,0.18975735,0.21013565,0.25551605,0.32636452,0.40100852,0.44563186,0.4448175,0.40096834,0.3334308,0.25823793,0.19212385,0.14862229,0.14124,0.17651601,0.25141084,0.35236645,0.45331812,0.52197903,0.5328144,0.48466977,0.4048063,0.32977948,0.28609228,0.27181566,0.2702274,0.26066527,0.24215542,0.22654478,0.22609957,0.23542196,0.23708077,0.22392249,0.20836397,0.2118342,0.23921587,0.27378592,0.29390845,0.2919402,0.2791884,0.26900432,0.2661265,0.2617906,0.24798799,0.22637987,0.21312468,0.22222118,0.2545167,0.2916093,0.3158536,0.3190398,0.3082683,0.2904253,0.2698218,0.24848808,0.23389053,0.2358944,0.25659633,0.28528786,0.30550733,0.31020343,0.30454066,0.2978494,0.29226303,0.28927472,0.29087797,0.3053161,0.32890043,0.35649678,0.37448978,0.3821775,0.37622985,0.36162707,0.33674002,0.30620587,0.2759218,0.2604833,0.27139458,0.307501,0.35113665,0.3791027,0.37954283,0.35174254,0.3035441,0.24282826,0.18606536,0.15143795,0.15117007,0.1754091,0.19953674,0.20375745,0.18778373,0.16896115,0.16080774,0.16719002,0.17938341,0.18955876,0.19378889,0.19657226,0.20949589,0.23757088,0.27599835,0.30453217,0.30850282,0.28169504,0.2333742,0.1811614,0.14800127,0.15051854,0.1852691,0.22706492,0.24871452,0.24185269,0.2245353,0.21884423,0.23239797,0.25280824,0.26260042,0.25401318,0.22912623,0.19917649,0.17753957,0.1771328,0.19933288,0.22995158,0.24764372,0.23746496,0.20445442,0.16834216,0.15541142,0.17720373,0.22811659,0.28396383,0.32564235,0.34139237,0.336426,0.31776464,0.29688093,0.27896324,0.26539198,0.2498963,0.22557479,0.18910293,0.14470412,0.103615515,0.080180556,0.08747158,0.1272365,0.18962957,0.2529721,0.3004043,0.3239329,0.33074418,0.33065996,0.33067688,0.32778308,0.31470695,0.28679302,0.25045004,0.22086906,0.21343578,0.23053694,0.26059425,0.2846283,0.28993794,0.2754962,0.25254014,0.2357666,0.2339902,0.24358904,0.2526399,0.25057322,0.23398994,0.20554306,0.1704449,0.13686366,0.11792335,0.12646557,0.16779785,0.23257451,0.3043594,0.36730215,0.41276464,0.43582106,0.43273747,0.40307692,0.35118628,0.28846538,0.2275235,0.18064152,0.15105657,0.13439997,0.11892057,0.09897723,0.076053075,0.05857183,0.05188575,0.05976705,0.08608246,0.13332261,0.19470547,0.25125158,0.2810746,0.2758173,0.24495745,0.2123844,0.1954,0.1995638,0.21182324,0.21959062,0.21568315,0.20764522,0.20417422,0.20871066,0.21279669,0.20611805,0.18942153,0.18067576,0.200545,0.2510673,0.30674052,0.33751664,0.33094597,0.30277884,0.27377704,0.25738248,0.2515361,0.25169137,0.25193813,0.24948187,0.24202804,0.23178072,0.2232368,0.22147018,0.22675069,0.23362462,0.2331696,0.21959835,0.19780408,0.18145466,0.18534815,0.20981188,0.2433126,0.26716354,0.27221283,0.25411633,0.21824013,0.17380106,0.14165837,0.13908148,0.17440437,0.23258722,0.29381967,0.33681223,0.35960612,0.3623565,0.35219097,0.3251232,0.28328335,0.23136367,0.1874025,0.16581045,0.17092705,0.18821727,0.1964487,0.1820473,0.15147062,0.12728804,0.13158032,0.170191,0.22947474,0.29032704,0.3391732,0.3717579,0.38378236,0.3727328,0.3388388,0.293897,0.25181156,0.22559291,0.21572788,0.21647136,0.21730681,0.21415855,0.20765905,0.2021231,0.19832587,0.19525796,0.19440545,0.20247205,0.22727858,0.26663017,0.3066893,0.32856703,0.32405376,0.30320308,0.2856687,0.28668717,0.3015355,0.31412452,0.30764234,0.28191015,0.2501022,0.23211212,0.24113065,0.27763078,0.32902884,0.37581125,0.40290213,0.4033045,0.38162613,0.34612963,0.30904317,0.2766699,0.25108516,0.22930758,0.21603934,0.2232229,0.26224852,0.32533133,0.3860781,0.41381812,0.39720377,0.35068884,0.30634603,0.29133904,0.3120494,0.3480935,0.37508932,0.37856865,0.370065,0.36096588,0.3617808,0.36422837,0.36312607,0.3466266,0.31274888,0.2635295,0.21683647,0.19107746,0.19638509,0.22497995,0.26279965,0.29508555,0.30984235,0.29570487,0.25459382,0.20886141,0.189707,0.20954025,0.24747765,0.27185035,0.27160683,0.26810125,0.28870037,0.33765304,0.38995185,0.4157628,0.40285358,0.3637952,0.3175824,0.27985108,0.25304198,0.2377407,0.22954553,0.22621532,0.22113134,0.21243642,0.2005391,0.19085944,0.1843911,0.17804445,0.16703452,0.1557432,0.15572333,0.17942266,0.22211091,0.26618803,0.28566083,0.27209657,0.23203748,0.1872397,0.15074627,0.12821983,0.11997959,0.13528037,0.1838954,0.26023483,0.33501983,0.37224948,0.35869515,0.31001174,0.25623295,0.21487463,0.18997703,0.18039072,0.19288595,0.23623455,0.30791768,0.3872933,0.44090426,0.44400987,0.39241037,0.3105303,0.23694938,0.2078328,0.23127814,0.28314364,0.32083297,0.3166562,0.27361748,0.21978383,0.1852835,0.1903583,0.24038309,0.32349363,0.40874723,0.46031952,0.4610032,0.42417172,0.38082692,0.35657987,0.35892174,0.38044682,0.40863165,0.4378207,0.46724805,0.49624768,0.5140135,0.508771,0.47669554,0.42463437,0.36386248,0.30549523,0.26474681,0.25311875,0.26766434,0.28525212,0.27947944,0.24329527,0.19705343,0.17572244,0.20254533,0.27411437,0.3597118,0.42361173,0.44368365,0.42285332,0.3783824,0.32829908,0.27999544,0.23467606,0.19672523,0.18295799,0.21000056,0.27933118,0.36338505,0.4274826,0.45148912,0.44446945,0.42602542,0.40737948,0.3876053,0.36110565,0.3262925,0.28113654,0.22806872,0.17882967,0.15531404,0.17057319,0.21148483,0.24371131,0.24213839,0.21416081,0.19327104,0.20866601,0.26162162,0.32886937,0.38063386,0.39971986,0.3838347,0.34112653,0.28387356,0.22744031,0.1926926,0.1971233,0.24417876,0.31386566,0.3747441,0.40375078,0.396386,0.36592686,0.32457712,0.2828032,0.2399527,0.19956721,0.16343999,0.14049836,0.13461079,0.1475031,0.17582996,0.21834059,0.27484322,0.34091067,0.40120366,0.4346019,0.42857847,0.39123103,0.34491947,0.3091515,0.28872505,0.27721915,0.26865974,0.26403916,0.26866862,0.2862077,0.3098148,0.3256198,0.31937948,0.29274496,0.26025143,0.23783465,0.2276436,0.21826048,0.2001925,0.17525454,0.16135614,0.17434926,0.2168414,0.26879364,0.3043404,0.30700123,0.28057098,0.24156217,0.20715813,0.18568943,0.17265724,0.1601458,0.1465665,0.14860708,0.18571389,0.26361203,0.35400757,0.41698647,0.42722479,0.40126136,0.37710467,0.38391617,0.41683555,0.4483244,0.45244396,0.42309833,0.37248364,0.3216419,0.2888186,0.28405002,0.30429077,0.3339896,0.3536651,0.3494676,0.32694796,0.30239567,0.29701617,0.31380868,0.34404257,0.3660394,0.3685706,0.34951055,0.32197937,0.29745612,0.2801417,0.26377746,0.24495058,0.23177433,0.23890226,0.26910374,0.30828857,0.3336161,0.33465365,0.31373623,0.28270182,0.25134405,0.22762668,0.21443743,0.2086309,0.20195498,0.18927418,0.17317022,0.1627221,0.16114457,0.16439007,0.16381674,0.16001451,0.16110964,0.17546622,0.2001348,0.22235769,0.2323848,0.23117338,0.22999792,0.23337431,0.23486675,0.21926254,0.18208003,0.13264902,0.09014633,0.06782131,0.06907419,0.0900668,0.12658651,0.17433004,0.22628741,0.26746595,0.28206742,0.25893554,0.20724227,0.1510075,0.12480059,0.14758168,0.2140129,0.28947625,0.33511865,0.3296521,0.28492692,0.23137856,0.19430256,0.1768456,0.16539787,0.14677581,0.1184761,0.08755735,0.06326818,0.053147744,0.062150996,0.08891634,0.124835275,0.15352558,0.16543359,0.16442996,0.1724584,0.20431352,0.25745174,0.30332157,0.31789997,0.2917723,0.24321939,0.19702017,0.17437245,0.17648065,0.19030674,0.20030802,0.20404641,0.2105857,0.22810896,0.25139332,0.26708812,0.26512206,0.2484485,0.22799991,0.21307851,0.20478784,0.19821529,0.19024491,0.1838166,0.18950719,0.21733749,0.2715448,0.34014788,0.403471,0.44022265,0.44434008,0.41773507,0.36896333,0.30495486,0.2432217,0.20518352,0.20984332,0.24958922,0.3013676,0.3356372,0.34630954,0.338231,0.32640222,0.31198433,0.2960669,0.27395904,0.2514069,0.2327121,0.22481328,0.22318672,0.21817064,0.1994827,0.17093354,0.14819615,0.14678065,0.16868351,0.20234972,0.23243,0.24761502,0.24357636,0.22435242,0.20223893,0.19368422,0.20678021,0.23761971,0.27081943,0.2945075,0.3017675,0.29493573,0.27641284,0.2503594,0.2180947,0.18182619,0.14332364,0.107774325,0.08331088,0.07963208,0.09936959,0.13379125,0.16637032,0.18669502,0.19663115,0.20362885,0.2082166,0.20295383,0.18399884,0.16036944,0.14881285,0.1605066,0.18998587,0.22097504,0.23508747,0.22571295,0.19624524,0.15910594,0.12619106,0.107780695,0.10723382,0.12115383,0.14080757,0.1619973,0.1877314,0.22322793,0.26236096,0.2913141,0.29888785,0.28615335,0.26028404,0.22708885,0.19613267,0.1780435,0.18014453,0.1893711,0.18549232,0.1578424,0.123177506,0.113492765,0.15114255,0.23091042,0.31835127,0.37508395,0.38022864,0.34483394,0.29700112,0.26055202,0.24145456,0.22979774,0.21749856,0.20169789,0.18752104,0.17520016,0.16501354,0.1565492,0.15303542,0.15454088,0.15654375,0.15598828,0.15565209,0.1627121,0.17561476,0.18320592,0.17320536,0.14758202,0.12072963,0.11065643,0.12781985,0.17493777,0.24246967,0.30911845,0.3474194,0.34488285,0.31176117,0.27590963,0.2571963,0.2602945,0.27264795,0.2789404,0.2662607,0.23320435,0.19329865,0.16684443,0.1669056,0.1832298,0.19409394,0.18302973,0.15684962,0.13378538,0.12808281,0.13908637,0.16195036,0.19669443,0.24630244,0.30416593,0.35177675,0.37120542,0.35927686,0.32914257,0.29638574,0.26978335,0.24706094,0.22645478,0.20878063,0.20087998,0.20269509,0.2070657,0.20162345,0.18325262,0.15905242,0.13814154,0.12159865,0.10403178,0.08582508,0.076861225,0.08967042,0.12542532,0.17066903,0.20478125,0.21302338,0.19302572,0.15598772,0.1199693,0.105837025,0.12630622,0.18430607,0.26526353,0.34826413,0.40773878,0.43290567,0.42215386,0.38839412,0.34039783,0.28789118,0.23719366,0.20045805,0.18734868,0.1989408,0.22344978,0.24327688,0.24690491,0.23362704,0.21138833,0.18922801,0.17481631,0.17491895,0.1924649,0.22260773,0.2511958,0.2681044,0.27498877,0.28316092,0.29660627,0.3053582,0.2949532,0.260209,0.21084912,0.1613959,0.123466246,0.10001481,0.09016655,0.09265525,0.111131825,0.14980157,0.20665538,0.26566234,0.3044568,0.3066629,0.27386898,0.21998674,0.16370425,0.11857134,0.09283412,0.08567578,0.08980894,0.0936378,0.09092363,0.08286306,0.07768259,0.079562165,0.08820555,0.09930586,0.1178349,0.15005112,0.19824581,0.2451241,0.2728077,0.2725015,0.2599028,0.25091764,0.25394663,0.25629413,0.2455707,0.21403958,0.17283541,0.13799109,0.1250342,0.13323104,0.1516272,0.164828,0.16588767,0.15546845,0.14056437,0.12779616,0.12272716,0.12565409,0.13456745,0.14393318,0.15218462,0.15599574,0.15649366,0.15358591,0.1581294,0.1801066,0.22439003,0.27563316,0.31203878,0.32021403,0.30841032,0.29506826,0.29241157,0.296405,0.29455388,0.27665815,0.24414684,0.20773871,0.18380933,0.17916763,0.18908231,0.19671814,0.19727445,0.19427806,0.19892335,0.20490807,0.20226757,0.18089616,0.14773716,0.11524104,0.097412996,0.101724565,0.12748708,0.16748063,0.20827866,0.23954804,0.25628996,0.26261613,0.26390806,0.26111245,0.25043944,0.22918361,0.20423053,0.18593495,0.18244483,0.18921816,0.19801445,0.2008609,0.20056231,0.20246269,0.21201153,0.22598648,0.23777747,0.2404115,0.2318545,0.21372418,0.18911965,0.16242374,0.1376012,0.11910528,0.10920169,0.11244583,0.1332926,0.17624092,0.23569036,0.29663435,0.3369589,0.34397566,0.3234389,0.30006674,0.2986946,0.32463375,0.3605285,0.38296053,0.38377574,0.37012658,0.35311225,0.3318386,0.2995312,0.25123373,0.19829558,0.15797742,0.14483161,0.15564363,0.18275334,0.22205222,0.2772431,0.34227026,0.3996419,0.43268052,0.43954325,0.42741397,0.39819273,0.35246205,0.30150238,0.27042818,0.28048244,0.32738638,0.38373342,0.41029096,0.3890079,0.32455903,0.24924217,0.19062431,0.16802396,0.17505388,0.19852354,0.2184302,0.2288944,0.22690785,0.21620832,0.19581877,0.17670852,0.1744172,0.20208472,0.24843423,0.2881423,0.3024063,0.29484752,0.28205416,0.27275681,0.26568758,0.25475818,0.24234967,0.23221076,0.22937576,0.23286128,0.24265671,0.25415826,0.26362804,0.26284626,0.25106755,0.23059873,0.21564059,0.21508299,0.23385978,0.2601037,0.28135252,0.28650293,0.27757522,0.26176462,0.24843754,0.2402433,0.23360872,0.22302328,0.21123631,0.20895994,0.22488992,0.25110367,0.2671307,0.25764266,0.22829328,0.20001565,0.18921442,0.19548993,0.20767246,0.21966559,0.23938233,0.27863947,0.33768496,0.39469704,0.4211395,0.40237394,0.3519198,0.29796028,0.26378322,0.2541997,0.25774005,0.25650275,0.23849559,0.21068758,0.19799961,0.22295637,0.28175205,0.34083286,0.36745965,0.35631767,0.3331947,0.32496515,0.33585772,0.345601,0.3325739,0.292417,0.24303971,0.21012418,0.21346672,0.2534926,0.31096494,0.35648003,0.36842838,0.3461108,0.30431113,0.26059037,0.22569442,0.20685156,0.21034467,0.23473005,0.26768032,0.28857818,0.2881346,0.2705119,0.25357062,0.24672742,0.25204742,0.2597827,0.26737097,0.27151388,0.27311763,0.26377112,0.24304806,0.215569,0.20088287,0.212165,0.25488356,0.31403843,0.36708555,0.3907417,0.37607527,0.32989725,0.26781952,0.20779754,0.16459139,0.15189183,0.17288922,0.2162344,0.25511983,0.26695812,0.2462979,0.2091096,0.17567416,0.15994935,0.16088523,0.16966034,0.17259924,0.16434209,0.1473067,0.13222818,0.12417925,0.12268009,0.122514315,0.1222154,0.12087986,0.117392756,0.11123145,0.10988014,0.12507276,0.16248965,0.21142952,0.25202575,0.26812264,0.2568941,0.22638232,0.192007,0.16922016,0.16691883,0.17856133,0.18964018,0.18704641,0.17162472,0.15027185,0.13276093,0.12422203,0.1313708,0.15623473,0.19467165,0.228369,0.23743637,0.2113858,0.16401945,0.12124307,0.103635915,0.10937139,0.12106163,0.12444141,0.11763656,0.109079786,0.104519166,0.10907692,0.12789595,0.16665998,0.22020791,0.27028397,0.29538155,0.2871224,0.25553617,0.22020642,0.19696492,0.19269449,0.20720895,0.23718828,0.27361956,0.3013626,0.30210495,0.26849008,0.21037112,0.15436353,0.1262704,0.13921867,0.1839208,0.23779386,0.27488342,0.28166074,0.25821885,0.21853502,0.1813386,0.16658588,0.1823883,0.22332835,0.26791272,0.2980858,0.3043609,0.29480752,0.27907148,0.26581013,0.25401545,0.24228424,0.226849,0.20568322,0.17444457,0.1340364,0.09172975,0.061868683,0.056306224,0.075910114,0.109430395,0.13939272,0.15681927,0.16130082,0.15807082,0.14507039,0.12055016,0.088448845,0.06541798,0.06841818,0.103873245,0.16058895,0.2158051,0.24759673,0.24520534,0.21289523,0.1638562,0.11505965,0.08106909,0.07466933,0.09950175,0.15065093,0.20853572,0.2511604,0.258905,0.23090006,0.18301748,0.142698,0.1306891,0.14890258,0.18268251,0.20982768,0.21688004,0.20120688,0.17517872,0.155129,0.1550955,0.17304872,0.19484954,0.2018817,0.1881786,0.16311364,0.14477958,0.14452194,0.15866192,0.17305635,0.17336543,0.15557742,0.12739117,0.105573505,0.106460534,0.13465957,0.17866941,0.21770811,0.23885846,0.24331744,0.24189861,0.24037348,0.23704235,0.22589946,0.2059908,0.17940682,0.15221673,0.13155223,0.1291496,0.15346663,0.2017547,0.2564154,0.29423442,0.30302334,0.28535578,0.25700456,0.23264597,0.22290038,0.22685891,0.2366547,0.23847033,0.2252547,0.20335029,0.19628008,0.2270865,0.2995685,0.3839164,0.4395444,0.44043532,0.39939976,0.34540722,0.30360278,0.27373484,0.24792905,0.22326349,0.21052222,0.22094779,0.2525186,0.28992364,0.31160355,0.30531707,0.26881787,0.21328051,0.15701963,0.12427384,0.13336366,0.18668528,0.26500633,0.339082,0.38545397,0.39736524,0.3783194,0.33731973,0.28272143,0.22591864,0.17692463,0.14475673,0.13549858,0.1492951,0.18167017,0.22051542,0.25883487,0.28735888,0.30187514,0.29492357,0.27157873,0.24242485,0.22097836,0.20885034,0.20010263,0.18877126,0.17588516,0.16930473,0.1747898,0.1932825,0.2138707,0.22481108,0.21646868,0.19645356,0.18007016,0.18665761,0.21822722,0.2631228,0.29765978,0.31206343,0.31116274,0.31712583,0.34023833,0.3742158,0.3931056,0.38017607,0.33952346,0.29225633,0.2544196,0.22266532,0.19011831,0.15887314,0.15022795,0.17483275,0.2261693,0.2732594,0.29807678,0.29869512,0.29597446,0.30079177,0.31208202,0.31186745,0.28838548,0.24329399,0.19798996,0.17718549,0.19338405,0.23282571,0.26821852,0.27609357,0.2571542,0.22653274,0.20254152,0.19036299,0.18757033,0.1904995,0.20009679,0.21828513,0.23951297,0.2530702,0.25264066,0.24693458,0.25144652,0.2712882,0.29367924,0.30058303,0.28437933,0.25122228,0.21111797,0.17241354,0.14218687,0.12731071,0.13037837,0.14419656,0.15638112,0.1588322,0.1587085,0.17486332,0.22032368,0.28513443,0.33634463,0.34471512,0.30560088,0.24262612,0.18789874,0.16804731,0.1963871,0.26679447,0.35317484,0.41819236,0.43977728,0.41922307,0.377633,0.33289745,0.2947404,0.2639078,0.24052346,0.22595103,0.22387451,0.23665325,0.26134363,0.2874647,0.3048012,0.30745453,0.29574582,0.26931325,0.22843175,0.17800863,0.12864488,0.09226542,0.07361621,0.07148654,0.08089891,0.10146999,0.13543348,0.18674815,0.24938612,0.3110007,0.35235548,0.36489284,0.351639,0.33181694,0.32396695,0.33185005,0.34134164,0.3330822,0.3064623,0.27370426,0.24872983,0.22751516,0.19971167,0.16072546,0.1225394,0.10813385,0.13655151,0.21051311,0.30517268,0.38352334,0.41400895,0.39700702,0.3543303,0.31579593,0.29283166,0.28353783,0.27483025,0.25665852,0.22132055,0.17083502,0.116868645,0.07920835,0.07666572,0.114279844,0.18098605,0.25249147,0.3075532,0.33261314,0.32434312,0.28425506,0.22241549,0.15934636,0.12257156,0.1333841,0.19069874,0.26903847,0.32913652,0.34753147,0.325178,0.28783023,0.25728267,0.24686225,0.25263163,0.26817134,0.27992332,0.27863,0.25623685,0.21603054,0.16466528,0.11512327,0.07881683,0.06840972,0.088059425,0.13503337,0.19483322,0.25385818,0.29797342,0.32090735,0.31746694,0.29131186,0.25177106,0.21259071,0.18184614,0.16044882,0.14687873,0.14501469,0.16026776,0.19560565,0.24142723,0.28550565,0.3128246,0.3204151,0.30822045,0.28350496,0.24861199,0.20834468,0.16720955,0.13345592,0.11299943,0.10739326,0.11579293,0.13420182,0.15706672,0.17260526,0.17270486,0.1580993,0.14490993,0.15072642,0.180484,0.21862407,0.24288832,0.24593545,0.24052316,0.2477488,0.27294058,0.3077952,0.33523318,0.34642336,0.33478153,0.30244365,0.2607781,0.23064542,0.22901952,0.25071672,0.27636474,0.2833257,0.26920554,0.24311619,0.21929176,0.19979334,0.17859,0.1482474,0.1123786,0.08580544,0.08720533,0.1233627,0.18420286,0.24327369,0.27546895,0.26871637,0.23636866,0.20847847,0.2122889,0.25136122,0.30192462,0.33636582,0.33965194,0.31846365,0.28639624,0.2614015,0.25555623,0.27225813,0.29873326,0.3156027,0.31237218,0.29819533,0.29677662,0.32355466,0.3686466,0.39852047,0.3843782,0.32715273,0.25601017,0.20656163,0.19749595,0.22684677,0.27410236,0.31253096,0.32113668,0.29442754,0.24398784,0.18971504,0.15675862,0.16121449,0.20340772,0.2587386,0.2968723,0.2999274,0.27548626,0.24336053,0.22105668,0.21531467,0.2246504,0.2408201,0.25130525,0.24521329,0.22146042,0.1884344,0.15699613,0.1324995,0.118783735,0.12014979,0.14492689,0.19283216,0.25427017,0.30749682,0.33792433,0.34374678,0.33818212,0.33394966,0.3326019,0.32631037,0.30328372,0.26343745,0.21685272,0.18257558,0.16917498,0.17186366,0.17960799,0.19320422,0.22507443,0.28001463,0.33901098,0.36928412,0.3528293,0.30350366,0.25179586,0.22063474,0.21134877,0.21653213,0.22809565,0.24060325,0.24460365,0.2333275,0.20977348,0.18685977,0.17606395,0.18231781,0.21070576,0.27056435,0.36229214,0.46076024,0.52486193,0.5313917,0.4967737,0.45692977,0.42967328,0.40287802,0.36183837,0.31680426,0.29876438,0.3261141,0.38386285,0.43360686,0.44276103,0.40242562,0.32551166,0.23615985,0.16250654,0.12882508,0.14882417,0.21419309,0.29860207,0.36624554,0.39658713,0.39290658,0.37701496,0.3662273,0.3621653,0.35770893,0.3472222,0.3290831,0.30201912,0.26986906,0.24435437,0.23612748,0.24136825,0.24388205,0.23531,0.22762753,0.242729,0.28821853,0.3479936,0.39371857,0.4059386,0.38437852,0.34437552,0.30574584,0.2805414,0.2725661,0.27640453,0.29017594,0.30738613,0.32598078,0.33425096,0.32928285,0.30582598,0.27326912,0.23784192,0.21144629,0.19424923,0.18449633,0.17255074,0.15473326,0.13039027,0.10641406,0.08757826,0.07582757,0.06701394,0.057583556,0.04752024,0.042261407,0.048962485,0.07088769,0.10651514,0.14762318,0.1841539,0.20362228,0.20185842,0.18779068,0.18311538,0.2038309,0.24230792,0.27444002,0.28116775,0.26886678,0.25415933,0.24554598,0.23629038,0.22320186,0.21495955,0.22405432,0.24769431,0.27094778,0.2793806,0.27671322,0.2797563,0.3054957,0.35846627,0.4250673,0.4874585,0.52686,0.5375392,0.5180923,0.47679392,0.42742202,0.3869076,0.3688419,0.37109908,0.3848956,0.39624175,0.4007864,0.39564347,0.38114658,0.35316166,0.31052348,0.25704923,0.20865597,0.18607616,0.20511186,0.26520923,0.34682444,0.4205432,0.4545555,0.4340044,0.36691383,0.28979838,0.23951806,0.23254089,0.24925494,0.25911918,0.240653,0.1992799,0.15356942,0.12936606,0.14252919,0.19734098,0.27522513,0.3481053,0.38924333,0.39276424,0.3685799,0.33425263,0.3038803,0.2888757,0.29863727,0.33402047,0.38506743,0.4307761,0.45404515,0.44230768,0.3961985,0.3242859,0.2496473,0.19467358,0.17166008,0.16960992,0.16756757,0.15050058,0.12673356,0.12336973,0.16724734,0.26141146,0.37438658,0.45905867,0.47923088,0.4328642,0.3451374,0.2521356,0.18134563,0.1444267,0.13781549,0.14883721,0.16454948,0.17794764,0.18885265,0.20091318,0.21377613,0.22519858,0.23087294,0.23781918,0.25524327,0.29522374,0.3515964,0.4098829,0.44542935,0.44647416,0.41307768,0.36218274,0.31268966,0.27914762,0.26406345,0.2605249,0.2590908,0.2535612,0.24594574,0.24046026,0.2428265,0.2531152,0.26747748,0.274546,0.26459467,0.23859395,0.21492387,0.21551473,0.24711762,0.29202032,0.32505772,0.33063293,0.31117845,0.2731168,0.22346412,0.17165273,0.14070429,0.1581767,0.23353577,0.34124115,0.4280903,0.45425454,0.4179027,0.35714087,0.309283,0.2879741,0.2819041,0.2782922,0.27703643,0.2798681,0.284704,0.27968252,0.26121986,0.23133361,0.19956852,0.17350273,0.16120647,0.16815233,0.1904046,0.21480285,0.22315954,0.20891565,0.17843609,0.15154696,0.14510518,0.16645622,0.20451204,0.24120218,0.258696,0.25332692,0.22894353,0.19640307,0.16239928,0.13269229,0.11027665,0.10177323,0.11875427,0.16932815,0.24974976,0.33484817,0.3935403,0.4015516,0.3594983,0.28983912,0.22820352,0.20292622,0.21914925,0.2551238,0.27721086,0.26275882,0.21670127,0.16770731,0.14874278,0.17354906,0.22963469,0.28759113,0.32271197,0.322956,0.29330423,0.24522913,0.1994741,0.17766972,0.1968077,0.25391755,0.32379285,0.37179282,0.37569007,0.34120336,0.29696766,0.27065763,0.26751232,0.26914343,0.25889605,0.24295336,0.24397914,0.27425292,0.31759462,0.34398866,0.3344443,0.29563805,0.25025305,0.22136407,0.21975113,0.24495001,0.28658393,0.3328489,0.36464533,0.36658916,0.33063555,0.27496162,0.22675674,0.20712735,0.2095706,0.21758932,0.21736257,0.21116306,0.20623358,0.21316047,0.2381417,0.28049153,0.32657477,0.35320938,0.34288728,0.29492873,0.23320973,0.18774325,0.17936109,0.20078285,0.2292123,0.2402193,0.22715014,0.19595695,0.15911585,0.12589374,0.10584948,0.10439921,0.121189624,0.14342922,0.15871863,0.16200052,0.16192752,0.16458379,0.167238,0.15821083,0.13410823,0.10447938,0.08836091,0.09721216,0.12920663,0.16674621,0.18939836,0.18273114,0.15063356,0.111343116,0.08740906,0.08876401,0.107456006,0.12669724,0.13744056,0.1482801,0.17328286,0.21470481,0.2522693,0.2634344,0.24454866,0.22168857,0.22598386,0.26856804,0.32911476,0.37574735,0.3886756,0.37093535,0.3377757,0.30124354,0.26550218,0.2331562,0.21112998,0.20598273,0.21396196,0.22156923,0.21457624,0.19133951,0.1598322,0.13306311,0.11932077,0.12110136,0.13116978,0.13934898,0.14314497,0.15811318,0.19996679,0.2654085,0.31963822,0.3331932,0.30608186,0.27677476,0.28237596,0.32996473,0.39530763,0.44405064,0.46111965,0.44636416,0.41553763,0.37999082,0.35240182,0.33449772,0.32569048,0.31785342,0.3077272,0.29275718,0.27607974,0.26058736,0.25324818,0.25722185,0.2696708,0.27650392,0.26467028,0.23003896,0.18743171,0.16179667,0.17587435,0.23198478,0.30692312,0.36788645,0.39188775,0.38067162,0.34705648,0.3056465,0.2628019,0.22178452,0.18460415,0.15482247,0.14196469,0.15416501,0.19187331,0.23667163,0.26586553,0.2647263,0.23875912,0.20141429,0.1652744,0.1354575,0.117561705,0.11820575,0.14321947,0.18477617,0.222717,0.23154484,0.20398939,0.15585864,0.12015707,0.118934475,0.15206225,0.19696842,0.23003149,0.23704575,0.22007953,0.19115855,0.17119722,0.17950654,0.22502549,0.2934076,0.35565326,0.381482,0.36082855,0.30250946,0.2284661,0.1580742,0.10652578,0.08268281,0.091465406,0.12967306,0.18670563,0.24698432,0.29555747,0.32257167,0.3245109,0.30668226,0.2765611,0.24161673,0.20280342,0.16440748,0.13623907,0.13584733,0.17321736,0.24296124,0.32270384,0.3867731,0.41765192,0.4120934,0.37688658,0.32305023,0.2605542,0.20045845,0.15590908,0.14333849,0.16877823,0.2195911,0.2615918,0.26625195,0.23226124,0.19366436,0.18775462,0.22599716,0.28338608,0.32536462,0.3354334,0.3221147,0.30385184,0.28968775,0.28204048,0.2786418,0.28114238,0.28547883,0.2886311,0.28622302,0.27671453,0.25646916,0.2243421,0.19115406,0.17396964,0.18773262,0.22586189,0.27238572,0.30582234,0.31772542,0.30462503,0.2717751,0.22536762,0.17704298,0.14266126,0.13759358,0.16786398,0.21995449,0.27017787,0.29651305,0.29580393,0.2773045,0.2550408,0.23336236,0.20948255,0.1783244,0.14260368,0.11494779,0.110103786,0.13359024,0.17268741,0.20522569,0.212767,0.19390456,0.16055651,0.12877975,0.10696283,0.09516674,0.09028915,0.094781935,0.115020014,0.15224664,0.19530998,0.22635555,0.23657303,0.2295938,0.21529146,0.1945986,0.16465823,0.1268382,0.096896194,0.09435598,0.1293018,0.19167715,0.25780725,0.30435112,0.32244304,0.31888327,0.30696252,0.29504767,0.28276792,0.2669857,0.24694628,0.22594257,0.20769554,0.19472647,0.18991911,0.19494629,0.2098242,0.22671326,0.23629929,0.23072429,0.21381669,0.19270504,0.17418574,0.15925364,0.15239777,0.16308962,0.19616294,0.24244721,0.2785687,0.28810084,0.26995954,0.24251951,0.22731985,0.2410578,0.28316036,0.33759785,0.37923393,0.3924631,0.37734535,0.348622,0.31774342,0.29002407,0.2637065,0.2434866,0.23561968,0.2415349,0.24994451,0.24960153,0.24266028,0.24479862,0.26621252,0.30115214,0.3326371,0.34726715,0.33919486,0.31020907,0.27250257,0.2451892,0.2428767,0.25812933,0.26908687,0.25768676,0.22672862,0.1900629,0.15854825,0.1321895,0.11009487,0.09670949,0.10333235,0.13666888,0.19432616,0.26030648,0.31502995,0.34111404,0.33450055,0.30123544,0.25480878,0.20812486,0.17391138,0.1606897,0.1686085,0.18568295,0.196872,0.19490649,0.18480791,0.17521776,0.17277358,0.17933369,0.19599013,0.21838723,0.23977299,0.24990888,0.24760424,0.23705919,0.22832288,0.2229576,0.21755074,0.20587458,0.18908317,0.17189191,0.15763722,0.1442777,0.12862454,0.11271095,0.10534176,0.12024221,0.16410872,0.23007254,0.29156062,0.3230259,0.3130155,0.2787315,0.24286325,0.22081818,0.20611013,0.18787237,0.15946744,0.12658842,0.09892616,0.08498151,0.08981504,0.1135244,0.15316232,0.20205466,0.2545676,0.30376735,0.3399857,0.3516868,0.3334171,0.29298946,0.24742197,0.21080081,0.18595473,0.16515805,0.14276235,0.120385855,0.11134947,0.12714712,0.1720943,0.22988419,0.27675077,0.28758922,0.25977132,0.20742942,0.16135637,0.14443535,0.16712187,0.2179281,0.2773064,0.32295653,0.34098744,0.32599247,0.28668886,0.24541752,0.22865097,0.24824484,0.29036352,0.32628444,0.33682784,0.3234861,0.30134174,0.2795851,0.25782883,0.23174383,0.20321167,0.1808527,0.17193069,0.17644179,0.18444563,0.18565631,0.17683162,0.16466528,0.15880728,0.16315702,0.1768441,0.19363506,0.20936525,0.21602832,0.21221943,0.1993212,0.19012325,0.192151,0.20396179,0.20988081,0.19834997,0.17431939,0.15343547,0.14516608,0.13912886,0.122255854,0.09087481,0.06093667,0.052672684,0.086602844,0.16785817,0.28575143,0.40494886,0.49083343,0.5195352,0.49736944,0.43986544,0.37235796,0.3161782,0.29383102,0.31138244,0.35378897,0.3883761,0.38842383,0.35199142,0.30321622,0.2707509,0.26469815,0.26720545,0.2521376,0.20703453,0.14388992,0.08583484,0.05162275,0.04993658,0.07868951,0.12895167,0.18251519,0.22105485,0.23043789,0.2115257,0.17850216,0.15518875,0.15909316,0.18978246,0.22785681,0.25093973,0.2490129,0.22904278,0.2039419,0.18589039,0.17979981,0.18661797,0.19715367,0.19893767,0.1812188,0.14993043,0.124151856,0.12489843,0.15689822,0.20390277,0.23965655,0.24730118,0.23273401,0.21809371,0.2202021,0.234743,0.24285883,0.23432465,0.21771596,0.20903082,0.21250774,0.21874247,0.21617807,0.20025618,0.17435493,0.14668877,0.13166375,0.14171089,0.1808111,0.2358251,0.28574893,0.31061092,0.3045975,0.28041145,0.26394185,0.27761424,0.3194215,0.36239183,0.37400636,0.34361872,0.2909028,0.24659432,0.22812748,0.22781496,0.22963738,0.22612576,0.22251807,0.2230553,0.22272809,0.2133488,0.19468765,0.17871733,0.18479367,0.22629376,0.30149335,0.38528636,0.44713494,0.46727517,0.45252803,0.4214876,0.3870748,0.3507655,0.3083183,0.26571694,0.23040122,0.21277405,0.21177655,0.22564511,0.24439006,0.2600485,0.2646263,0.26009843,0.25378487,0.251549,0.25192776,0.24525835,0.22549276,0.19386385,0.16746913,0.16519493,0.19907777,0.25649503,0.31310034,0.34346318,0.34187385,0.31485632,0.27887648,0.2470991,0.22975987,0.22679366,0.23057668,0.23022433,0.21927528,0.19843161,0.17173897,0.14457099,0.12075605,0.102729194,0.09190774,0.088077456,0.09054059,0.094350286,0.09545549,0.09224495,0.09321803,0.10854194,0.14452031,0.190452,0.22937135,0.24563639,0.24194105,0.22630471,0.2068579,0.18170597,0.1545201,0.1355213,0.13927609,0.16750114,0.20757817,0.23981763,0.25343266,0.25397882,0.25568673,0.2691516,0.28882435,0.302061,0.295555,0.26905847,0.22981809,0.19492428,0.17734723,0.18266158,0.19922055,0.21245854,0.21271183,0.20526505,0.19632204,0.18739997,0.17252046,0.15410711,0.14515501,0.16337259,0.21041293,0.27209732,0.3259646,0.3620149,0.37930933,0.38123533,0.36394835,0.3226203,0.26063287,0.19400412,0.14811195,0.13893229,0.16658781,0.209952,0.24806887,0.26694173,0.27083147,0.26615754,0.26188126,0.25797537,0.25267857,0.23689266,0.20615816,0.1647133,0.12987685,0.119933456,0.14011516,0.17971726,0.21740408,0.23750754,0.23490804,0.22036128,0.21100132,0.22288525,0.25936687,0.30765423,0.3445998,0.34913936,0.31796983,0.26841825,0.23075557,0.23112369,0.27440965,0.34137538,0.39504984,0.4079506,0.3739512,0.3136504,0.2526708,0.2102805,0.18970247,0.18324189,0.17796941,0.1648214,0.14666371,0.13398808,0.13516085,0.14398824,0.14647152,0.13234752,0.10653949,0.083348215,0.07639831,0.088801764,0.11368149,0.13875164,0.1546672,0.15842776,0.15351094,0.14596748,0.1426415,0.1509286,0.1741913,0.20739879,0.23497175,0.24221808,0.22407073,0.18939437,0.1517557,0.12351462,0.1094744,0.10897408,0.11489061,0.12131697,0.12404885,0.12647982,0.13570093,0.16345225,0.21819232,0.29406944,0.36632553,0.39777175,0.3681643,0.2866454,0.19448952,0.1352549,0.13690174,0.19400676,0.27955517,0.35549614,0.39826772,0.3997806,0.37338802,0.33490995,0.30389854,0.28576568,0.28038847,0.27459726,0.26131466,0.23583563,0.20554902,0.17811494,0.16443445,0.17248857,0.20615911,0.2599071,0.31536224,0.35235965,0.35532403,0.32500014,0.2693737,0.20356536,0.14227629,0.10293633,0.10025015,0.13716201,0.20078366,0.26221955,0.2995857,0.30335888,0.28698468,0.26545233,0.2537892,0.25239363,0.25689355,0.25830102,0.25437132,0.2468489,0.23866005,0.23048319,0.22363554,0.22289477,0.22731495,0.2279232,0.20985214,0.17474063,0.13918951,0.12773241,0.14557604,0.18178378,0.21290492,0.22522634,0.2122451,0.18113168,0.13943209,0.10304856,0.088228755,0.117602505,0.19760807,0.3109209,0.4112483,0.45665523,0.43389896,0.3676242,0.29581842,0.24817346,0.23443186,0.24812765,0.27280322,0.29258323,0.2989354,0.2924975,0.2767874,0.255394,0.2315215,0.20855552,0.18723296,0.16441523,0.13704278,0.10879613,0.09335694,0.10797735,0.16045111,0.23786998,0.3117695,0.35375583,0.35614118,0.33020094,0.29798463,0.27158782,0.25409058,0.2394966,0.22649862,0.21922417,0.22834718,0.25956845,0.30562928,0.34605202,0.36152864,0.34733143,0.31510004,0.27911583,0.24552874,0.21095245,0.17214024,0.13353102,0.10557637,0.09777693,0.11015602,0.1350193,0.16037752,0.17657346,0.17885767,0.17237417,0.17327,0.20074458,0.2587385,0.32786956,0.37453166,0.37826374,0.3416263,0.2891864,0.2476659,0.23696876,0.25721917,0.29220983,0.31589076,0.31449005,0.29072958,0.26327065,0.246639,0.24702878,0.25816056,0.27219284,0.28394115,0.29285285,0.29948485,0.30194288,0.29780582,0.28580722,0.26932475,0.25405893,0.24550907,0.24363595,0.24541469,0.24777503,0.25139976,0.25673637,0.2607682,0.25885677,0.24594766,0.2225976,0.19175495,0.16722518,0.16206253,0.18621589,0.22833924,0.27070597,0.29578316,0.30519226,0.30665457,0.30876458,0.31009725,0.30759194,0.29898524,0.28327373,0.2596663,0.22926788,0.20485313,0.20507944,0.24496692,0.3169836,0.39163086,0.43457368,0.42784396,0.38556656,0.3343475,0.29886785,0.2782304,0.26166812,0.2351834,0.1989273,0.16009037,0.12902962,0.11179101,0.11192643,0.13519317,0.1840914,0.25239572,0.31688643,0.35594562,0.36022922,0.3433452,0.32204506,0.30876923,0.30349,0.3064543,0.31295443,0.3204148,0.32074583,0.31689274,0.3115292,0.3093567,0.30347848,0.29025307,0.27192923,0.25682148,0.24509962,0.22939287,0.20620601,0.1870362,0.18592274,0.20543772,0.22978087,0.24906968,0.26343843,0.28332058,0.30366752,0.31391132,0.3053105,0.28635755,0.26937506,0.2612381,0.2598224,0.26071486,0.26121858,0.25848374,0.24845445,0.22805993,0.19982457,0.17431295,0.16410737,0.17429435,0.19374508,0.2052139,0.19911273,0.18607914,0.18129693,0.19094652,0.20161478,0.20045865,0.18648292,0.1775493,0.18846817,0.21942024,0.25098708,0.2627927,0.24702026,0.21430786,0.18729663,0.18679272,0.21800737,0.26123753,0.2862033,0.27744505,0.2507977,0.23674898,0.25266346,0.29023138,0.33179465,0.3678411,0.4012628,0.43516162,0.4634734,0.47219065,0.44996867,0.40369096,0.35769507,0.34228507,0.36509264,0.41132057,0.44862115,0.45937786,0.43578663,0.3915527,0.34371054,0.32148972,0.3394867,0.39202046,0.44518206,0.4675413,0.45014527,0.4150236,0.39000663,0.39001086,0.40302348,0.40459964,0.37343493,0.3119389,0.24745172,0.21518733,0.23406823,0.29058966,0.35457337,0.39982525,0.42269102,0.43113902,0.43570146,0.44015524,0.44832134,0.4583421,0.46309972,0.44695893,0.40502763,0.34927776,0.3093026,0.3056288,0.3354124,0.37278023,0.39230433,0.38704768,0.3676637,0.34704947,0.32811177,0.305305,0.27824748,0.25767025,0.2612987,0.29449335,0.3421224,0.37327775,0.36565313,0.3216114,0.27113682,0.24827619,0.26782787,0.31437525,0.3574109,0.37494048,0.36196184,0.3293647,0.28970632,0.25518718,0.2298594,0.21223693,0.19659264,0.17925723,0.16331024,0.15844877,0.17886196,0.23249646,0.31107596,0.3888539,0.43689477,0.44247976,0.41336027,0.36826482,0.32153174,0.2815169,0.25161076,0.23584343,0.23383601,0.24219549,0.2538242,0.26392376,0.27250254,0.2799388,0.28459927,0.27800462,0.25952142,0.24087119,0.2478904,0.2938899,0.36489716,0.421303,0.4299444,0.38595566,0.3117101,0.23566198,0.17861569,0.15292121,0.16093224,0.1922756,0.22778344,0.2564043,0.28319442,0.3159474,0.3490635,0.3635939,0.3514769,0.32156575,0.2938116,0.2740203,0.25949368,0.24386965,0.23502202,0.23841043,0.25350973,0.26433983,0.26304474,0.25239483,0.24684416,0.25264648,0.26597238,0.27486613,0.2675561,0.23802817,0.19283216,0.15203924,0.13880152,0.16170764,0.2086211,0.25465068,0.27711594,0.26508793,0.22109853,0.16181932,0.11041533,0.08914312,0.104301296,0.1457228,0.18802845,0.2082596,0.19389294,0.15398692,0.111192085,0.09350765,0.11496232,0.16800773,0.22510356,0.2587684,0.25954115,0.2428386,0.23146826,0.23955262,0.2592395,0.2754214,0.2733008,0.25324175,0.21999528,0.18306243,0.14835246,0.12674972,0.1275257,0.15760826,0.20885509,0.2664233,0.30792835,0.320187,0.29572347,0.24649112,0.19268142,0.16135518,0.16358009,0.19462168,0.23276763,0.25831357,0.2594476,0.23947972,0.20885627,0.1810931,0.16581625,0.17068672,0.19927926,0.2487896,0.3035846,0.34249136,0.35019588,0.3296646,0.2949103,0.2599856,0.22971308,0.20286061,0.1769635,0.15045075,0.12407366,0.10083612,0.08657744,0.08372908,0.088925056,0.09465706,0.09978229,0.11267746,0.14299218,0.19078952,0.24282002,0.28500816,0.30790564,0.31060767,0.29522038,0.2689864,0.24188542,0.22270924,0.2133479,0.21100919,0.21152796,0.21372432,0.2158388,0.21614522,0.21046443,0.19525813,0.17187999,0.1502716,0.14709546,0.16912258,0.20784707,0.24132912,0.25884095,0.26307237,0.26770738,0.2776272,0.29045984,0.29891884,0.29830313,0.28830767,0.2705408,0.24910893,0.22290738,0.19343604,0.16614836,0.1614921,0.1946996,0.26472884,0.33868527,0.38226232,0.37779453,0.3429954,0.3031583,0.27698997,0.26273692,0.253861,0.24386066,0.23194319,0.21731699,0.20135956,0.18762617,0.18664269,0.21105735,0.268782,0.3509853,0.432824,0.4877428,0.5022599,0.48312327,0.4420346,0.39160737,0.33644208,0.2864546,0.2511463,0.24306948,0.26276624,0.30119517,0.34298244,0.37829968,0.4031081,0.4112911,0.39599714,0.35600471,0.3031921,0.25242957,0.21307905,0.1869495,0.17316057,0.16773157,0.16218722,0.15110119,0.14284979,0.15796773,0.2111562,0.2948468,0.38207078,0.445609,0.47239622,0.46695414,0.44017455,0.40483645,0.36740527,0.33156458,0.2943077,0.25253063,0.20326237,0.15132967,0.1068661,0.085941374,0.098600484,0.14620906,0.20996787,0.26361275,0.28012955,0.25769058,0.21515726,0.18433909,0.18172085,0.20123309,0.21968979,0.2165759,0.18886966,0.15124796,0.122262,0.109963834,0.11088547,0.12510435,0.1639726,0.23817366,0.33722576,0.42506218,0.46684512,0.45190942,0.40157104,0.34440133,0.30078912,0.27393043,0.26167405,0.2585412,0.26169613,0.266538,0.2730013,0.2811216,0.2925886,0.30661944,0.3209443,0.33424315,0.34132347,0.34272054,0.33680007,0.3316945,0.32362306,0.30967936,0.27776304,0.2355382,0.20037329,0.19951314,0.2378817,0.29825127,0.34882239,0.3740499,0.3774034,0.37393895,0.36718515,0.35346758,0.32741213,0.29506132,0.2661247,0.24718665,0.23661636,0.22674786,0.21212804,0.19068645,0.16931069,0.15816946,0.16698277,0.19529451,0.23266836,0.26705378,0.29140052,0.3054705,0.30779612,0.29738936,0.27629805,0.25345215,0.2375115,0.22838616,0.21926415,0.2047711,0.19241548,0.19195062,0.20730877,0.2264273,0.23870373,0.241821,0.24551149,0.25520423,0.26562878,0.26508632,0.24724306,0.21971904,0.19758935,0.19152634,0.19944756,0.2091884,0.21222962,0.20699817,0.20026918,0.1986504,0.209742,0.23669624,0.27565944,0.3143505,0.34077153,0.35115466,0.34817803,0.33408153,0.3067721,0.26592854,0.21604143,0.1659737,0.12236697,0.090904236,0.07838118,0.09491056,0.14299168,0.20984864,0.2667663,0.29003605,0.27542666,0.24454868,0.222495,0.22410949,0.24169259,0.26283413,0.27587482,0.28063932,0.2757335,0.26417878,0.25027755,0.24659105,0.25997865,0.2873388,0.31317082,0.3226038,0.3091106,0.27557418,0.23222171,0.19010757,0.16268809,0.15596378,0.1711476,0.19669677,0.21968128,0.22510308,0.20923923,0.1788219,0.15464823,0.15692453,0.19153251,0.2417378,0.2810705,0.29614785,0.29376766,0.29142907,0.29525316,0.30108678,0.29951134,0.2909406,0.2773203,0.26332495,0.24771164,0.23194413,0.21451528,0.19734651,0.1827511,0.17710127,0.18297099,0.1967517,0.2090845,0.21357779,0.2111692,0.21109484,0.22767548,0.26906395,0.3321379,0.3944825,0.43668714,0.44491318,0.42630816,0.38889083,0.34533086,0.29982057,0.25568062,0.21353094,0.17697121,0.14932811,0.12902188,0.11156512,0.09590628,0.08986022,0.10331333,0.13973062,0.19198291,0.24737883,0.29387233,0.32333216,0.3312459,0.3188972,0.29179507,0.2593401,0.22642964,0.1980384,0.1776645,0.1709071,0.17474163,0.1792243,0.17425825,0.16074328,0.14993055,0.15038179,0.1619763,0.17459953,0.18117224,0.17825235,0.16903026,0.15476428,0.1378516,0.12197533,0.11495203,0.1242235,0.14950483,0.18089105,0.20122361,0.19774497,0.17017461,0.13571729,0.118742354,0.1367572,0.18366627,0.2364868,0.26730052,0.26928425,0.25116166,0.23338199,0.22230698,0.21757133,0.20971577,0.19869076,0.18558104,0.17479323,0.16371028,0.1503914,0.13512744,0.1234574,0.11869814,0.11788561,0.11485439,0.1078041,0.1039865,0.11164459,0.13163197,0.15171804,0.15771358,0.14230825,0.113530464,0.08719521,0.08067143,0.0998832,0.13662334,0.1704135,0.18404734,0.1753823,0.15875493,0.15585645,0.18013944,0.23243046,0.29588088,0.34981266,0.3759688,0.37177417,0.34483364,0.3093141,0.27879825,0.26113263,0.2564237,0.25272354,0.23751284,0.20483965,0.16732605,0.14477243,0.15366606,0.19035548,0.23682232,0.27188447,0.2874202,0.28840616,0.28254473,0.27415368,0.26342058,0.255152,0.25216463,0.25437558,0.2524955,0.24138099,0.22061324,0.20001636,0.18464704,0.17578058,0.16499087,0.14950633,0.13130657,0.12252029,0.13192879,0.16217686,0.20294577,0.2358429,0.24302946,0.21873374,0.17864178,0.14812542,0.1471227,0.1716188,0.203615,0.22391306,0.22888386,0.22364046,0.21737278,0.21344125,0.2154171,0.22543703,0.24610615,0.27509174,0.30482316,0.3272582,0.33436242,0.32435584,0.2968273,0.2610104,0.228445,0.21371745,0.21870452,0.23526438,0.24574117,0.24037226,0.21937509,0.19646616,0.18741809,0.20554568,0.25117278,0.31170347,0.36532333,0.39298066,0.38730714,0.35251534,0.30023706,0.24033469,0.18051882,0.12704362,0.09000834,0.08005414,0.09769278,0.1301321,0.15742488,0.17369564,0.18741393,0.21244462,0.24826245,0.28123537,0.29523334,0.2844169,0.25680926,0.22783625,0.21020763,0.20665897,0.21107359,0.21591122,0.21519314,0.20492442,0.18472439,0.1614778,0.14700033,0.14689814,0.15300916,0.15096293,0.13437407,0.11512595,0.11160459,0.13734205,0.18603064,0.24053435,0.27807096,0.288648,0.27446178,0.25018713,0.22942884,0.21880664,0.21596296,0.21268566,0.20289679,0.18562055,0.17028558,0.16877341,0.1895256,0.22613187,0.26263538,0.2792403,0.26703376,0.22827744,0.17783873,0.13072269,0.09775407,0.07892477,0.0720236,0.07570327,0.09101822,0.113158345,0.1328898,0.14315893,0.14976753,0.16447572,0.19597924,0.23479359,0.26486862,0.27030298,0.25331244,0.22330074,0.19595204,0.18166421,0.18994713,0.22082405,0.2638394,0.29801282,0.30794027,0.290529,0.25847447,0.22598244,0.20535845,0.19677849,0.19475202,0.1896963,0.18078673,0.17259507,0.16948085,0.16698545,0.15957633,0.1499014,0.1497457,0.16771506,0.2015294,0.24236266,0.28583995,0.33118704,0.3737334,0.39727613,0.38838828,0.34695265,0.29525074,0.25569403,0.24018198,0.23783529,0.23364137,0.21838641,0.19961512,0.19216257,0.20316042,0.2240237,0.2340252,0.22313178,0.19953036,0.18521415,0.1921106,0.21400982,0.23210715,0.23113807,0.20942618,0.17891763,0.15830527,0.15791786,0.17387938,0.1913578,0.2030493,0.21126701,0.2217697,0.22872709,0.22225209,0.19840318,0.16794305,0.14441055,0.13546169,0.1367567,0.14112712,0.14390121,0.15110917,0.1715164,0.2104659,0.25716504,0.2976996,0.32052517,0.3301585,0.32984167,0.32352397,0.3083479,0.28829372,0.2675233,0.252017,0.24371602,0.24257867,0.24387766,0.24054098,0.22782566,0.208966,0.1927603,0.18629344,0.18974064,0.196419,0.19919974,0.1937527,0.18445013,0.18249126,0.20396161,0.25483748,0.3241947,0.3841486,0.41355917,0.40761065,0.38055626,0.34287038,0.3019885,0.25875267,0.21949716,0.18616337,0.16019183,0.14097048,0.13229272]