[0.0049023745,0.006476329,0.011262104,0.020991856,0.037137605,0.059391428,0.08473376,0.10822316,0.12514746,0.13313015,0.13279378,0.12683208,0.11857625,0.11064743,0.10453836,0.10050049,0.09818167,0.09681627,0.09563241,0.09370342,0.0903728,0.08537656,0.07912334,0.072354786,0.0658545,0.06014833,0.055502772,0.051973384,0.049406935,0.047474068,0.045747444,0.043884326,0.041657064,0.038996365,0.03594059,0.032737456,0.029680563,0.027001021,0.024654128,0.022510923,0.020481203,0.018661099,0.017175892,0.016096108,0.015371885,0.014920041,0.014632908,0.014422466,0.014126218,0.013598633,0.012702927,0.011513918,0.010227523,0.009120581,0.008312865,0.0077542854,0.007294087,0.0068204054,0.006345512,0.005930237,0.0056393486,0.005460611,0.005376296,0.005451357,0.0059614778,0.007460848,0.010883466,0.01765591,0.02946178,0.04715706,0.06933173,0.09191825,0.109924935,0.12020116,0.12288358,0.12056726,0.11612121,0.11141025,0.10711625,0.10349494,0.100675724,0.09878632,0.09768152,0.09694023,0.09597444,0.09428048,0.09164994,0.08815827,0.08418321,0.080145806,0.0764195,0.0730986,0.07013881,0.06733825,0.06449019,0.06136558,0.05793957,0.054409325,0.051263135,0.049312565,0.050020877,0.05545105,0.067225635,0.084737115,0.10437751,0.121047765,0.13114266,0.1342144,0.13237947,0.12822635,0.123639196,0.119524874,0.11620447,0.11353461,0.11113734,0.10861722,0.105757095,0.10256613,0.09922884,0.095986366,0.0929311,0.08993136,0.086765654,0.0833286,0.07967467,0.07587865,0.07197422,0.06795575,0.0638729,0.059856657,0.05616663,0.053286303,0.052060504,0.05388848,0.06030987,0.072124064,0.08804586,0.10467965,0.117622316,0.12377759,0.122534074,0.11587139,0.10690141,0.09857144,0.092529975,0.089019485,0.0871528,0.085788876,0.08404904,0.08161626,0.07836328,0.0742453,0.069190376,0.06341796,0.057410147,0.051817134,0.047144372,0.04362454,0.041251678,0.039836597,0.038999572,0.03817418,0.036773413,0.034550007,0.03167501,0.028609602,0.025684258,0.023026465,0.020592676,0.018385934,0.01644269,0.014825636,0.013557621,0.012634649,0.011995618,0.011528718,0.011097384,0.010622562,0.01010431,0.009597883,0.009116099,0.008611682,0.008041948,0.0074608135,0.007033806,0.0068526585,0.0068670143,0.006849205,0.0066466704,0.006209292,0.0056425934,0.0050544683,0.0045907977,0.004458343,0.0050662346,0.007139282,0.011876818,0.020857945,0.03544942,0.055704642,0.079647064,0.10385684,0.12507273,0.14155357,0.15282917,0.15893319,0.15956388,0.15489274,0.1457987,0.1345941,0.12353761,0.11442176,0.107282914,0.101682246,0.0967476,0.092327595,0.08815777,0.0845426,0.0815861,0.07973719,0.07886086,0.07899263,0.07971492,0.080701746,0.08090385,0.079510294,0.0758639,0.0702995,0.06337766,0.05610734,0.049277496,0.043644708,0.039338946,0.03620489,0.033810362,0.032179367,0.03193794,0.0346936,0.042148057,0.055081863,0.072037786,0.08992914,0.10527316,0.11589402,0.12110891,0.1215389,0.11848556,0.11361895,0.10848107,0.10406428,0.10061134,0.098019,0.09640252,0.096696846,0.099850684,0.10578924,0.11229964,0.11637467,0.1159829,0.112547375,0.11122614,0.12053621,0.14783655,0.19439058,0.25114557,0.30275548,0.33560917,0.34575418,0.33898774,0.32548264,0.31368732,0.30737963,0.30713752,0.3108078,0.31616583,0.31996152,0.3222972,0.3241473,0.32764694,0.32891336,0.32082042,0.29602683,0.25591242,0.20947547,0.16929549,0.14345364,0.13412474,0.13814896,0.15182768,0.17229842,0.19945443,0.230317,0.2592635,0.27685234,0.28041896,0.27330086,0.2651169,0.26100627,0.26225805,0.2660303,0.27071154,0.27519357,0.27886006,0.27955288,0.27454925,0.26097867,0.23861136,0.20933343,0.17876704,0.15388821,0.14273123,0.14747463,0.16278107,0.1757346,0.17683578,0.16492529,0.14820738,0.13468449,0.12795822,0.12568136,0.124179415,0.12013254,0.11242658,0.1014069,0.09061977,0.08646,0.09798936,0.12885877,0.17314903,0.21377808,0.23633508,0.23665279,0.22447483,0.21115041,0.2036394,0.20109569,0.20072508,0.20012355,0.19901264,0.1973582,0.19567901,0.19510728,0.19894111,0.2087066,0.2216805,0.22856183,0.22171535,0.19972868,0.17067556,0.14442466,0.12887217,0.12628096,0.13593255,0.15470795,0.1794712,0.2054782,0.22742307,0.23930313,0.24026358,0.23463184,0.2308894,0.23416539,0.24491142,0.2587638,0.270605,0.27623546,0.27520666,0.26955935,0.26228908,0.25341502,0.24295384,0.23275942,0.22920428,0.2374502,0.2582306,0.2846155,0.30594668,0.312074,0.29977703,0.27432394,0.24611437,0.22365545,0.20931196,0.20097573,0.19584323,0.19264942,0.19081432,0.18943667,0.18780603,0.18678492,0.18957154,0.19912301,0.21491764,0.23124842,0.24133278,0.24207096,0.2358674,0.22738509,0.2200702,0.21578354,0.21529405,0.21840262,0.22280546,0.22535908,0.22473335,0.22324611,0.22580196,0.23531377,0.2490852,0.25781062,0.2513459,0.22555639,0.18682653,0.14812486,0.121816225,0.11310375,0.11960312,0.13506532,0.15434563,0.17601462,0.19929884,0.22151999,0.2363162,0.24005024,0.23373424,0.22390217,0.21587785,0.21216615,0.21199016,0.21517612,0.22269256,0.23640253,0.25323334,0.26515207,0.25987625,0.23330295,0.19086254,0.14859176,0.120232075,0.11406321,0.12709582,0.1492769,0.16635825,0.16976292,0.16019334,0.14675842,0.13755344,0.13512282,0.1355352,0.13443558,0.1299414,0.12578152,0.12841487,0.14593415,0.1818458,0.23525356,0.29579,0.35021007,0.38299274,0.3899813,0.37554955,0.35420775,0.33571494,0.3248711,0.31815866,0.31235287,0.3046879,0.29575327,0.28633723,0.27853277,0.27395758,0.27515355,0.28173915,0.2900599,0.29087302,0.27649894,0.24426013,0.20170152,0.16052875,0.13262033,0.122908376,0.13035558,0.14932315,0.17467071,0.20165293,0.22509015,0.23816867,0.23718812,0.22515236,0.21095617,0.2030626,0.20495741,0.2149211,0.22798388,0.2385181,0.24322236,0.242329,0.23834552,0.23203921,0.22344257,0.21338148,0.20557503,0.20362222,0.209469,0.22176938,0.23548244,0.24239813,0.23612662,0.21818785,0.1982796,0.18686922,0.1866336,0.19170374,0.19266804,0.18325806,0.16251735,0.1348321,0.107978724,0.091247834,0.0934984,0.11976788,0.1680278,0.22705607,0.28167096,0.32026002,0.34084043,0.34807217,0.34807006,0.3442702,0.3384035,0.33155218,0.3247615,0.31909707,0.3155551,0.31582642,0.32049647,0.32876062,0.33550343,0.3337691,0.3168333,0.2849263,0.24508269,0.20877437,0.18428458,0.17395926,0.17443456,0.18185364,0.19475584,0.21483189,0.2404856,0.26556095,0.27961823,0.27912185,0.26777613,0.2557511,0.24894404,0.24877809,0.25244427,0.25772345,0.26305878,0.26742002,0.26887953,0.26492643,0.2528604,0.23214632,0.2042536,0.17434861,0.14927913,0.1371578,0.1405627,0.15459365,0.16692191,0.16827239,0.15744399,0.14219631,0.13023616,0.12497187,0.12397341,0.12336275,0.11967956,0.11179477,0.100301705,0.08902202,0.08466598,0.096520364,0.12845805,0.17487837,0.21878023,0.24552469,0.24984981,0.2404504,0.22833866,0.22176032,0.2218851,0.22686775,0.23313306,0.23748119,0.23759855,0.23357908,0.22806416,0.2262441,0.23133922,0.2421395,0.25078353,0.24974577,0.2356882,0.21328564,0.1900794,0.1738993,0.16849434,0.17421466,0.18789126,0.20636229,0.22558711,0.24164061,0.24936186,0.24819438,0.24227144,0.23971881,0.24487485,0.25714034,0.27140498,0.28234258,0.28611425,0.2823807,0.27343202,0.26256236,0.25105223,0.23990552,0.23143668,0.2308991,0.24203698,0.2641375,0.28982088,0.30872753,0.31190002,0.2973419,0.2708505,0.24242818,0.21994013,0.20558612,0.19742423,0.19279331,0.19036959,0.1897492,0.19021462,0.19107588,0.19255225,0.19739018,0.20838757,0.22583304,0.24441974,0.25762725,0.26124024,0.2569947,0.24852373,0.23962212,0.2320227,0.2272463,0.2254808,0.2257766,0.22595388,0.2254672,0.22632015,0.23254436,0.24539901,0.26086608,0.2692655,0.26234314,0.23863561,0.20605488,0.17568439,0.15583934,0.14846925,0.15122354,0.16083093,0.1753174,0.1945017,0.21644633,0.23659891,0.24763565,0.2467915,0.23671173,0.2251447,0.21697408,0.21353638,0.21280001,0.21463187,0.22063369,0.23348685,0.25009343,0.2620056,0.25670487,0.23036617,0.18880492,0.14802243,0.12134853,0.116471685,0.12991242,0.1513252,0.16680647,0.16853392,0.15811233,0.14469957,0.13593133,0.13356836,0.13371573,0.13207053,0.12612419,0.11605852,0.10298259,0.08917325,0.077747695,0.073432684,0.079512686,0.09581206,0.11640016,0.13413589,0.1436923,0.14522249,0.14156461,0.13721696,0.13547425,0.13813251,0.14394647,0.14966106,0.1512235,0.14637072,0.13532208,0.12170697,0.110288076,0.10528522,0.10687607,0.1122696,0.1168891,0.11821406,0.11689826,0.11660219,0.12121158,0.1311538,0.1428808,0.15047747,0.15015194,0.14183383,0.12921882,0.11665437,0.10673811,0.0993974,0.094042726,0.09121248,0.09234544,0.09698134,0.10197962,0.103196956,0.09941608,0.09409231,0.09319824,0.10059682,0.11449361,0.12915094,0.1397711,0.14743042,0.1596818,0.18434332,0.22167026,0.25960526,0.28220055,0.28276518,0.27341142,0.2772757,0.30942953,0.36061016,0.40106523,0.40600505,0.379118,0.35056672,0.34840837,0.37645438,0.41883126,0.45835194,0.4849895,0.49026218,0.4706835,0.4336473,0.39895675,0.38204667,0.3839092,0.3935841,0.40069368,0.402702,0.4010587,0.39724016,0.38923606,0.37730244,0.36336687,0.34925047,0.33016524,0.30080897,0.2655609,0.2415082,0.24541695,0.27555823,0.31218067,0.33104864,0.3230243,0.2964982,0.27419892,0.2800269,0.32464635,0.39209402,0.44175065,0.43654227,0.3703948,0.27978727,0.21488094,0.20602377,0.24319474,0.29465988,0.33902302,0.38037777,0.43127537,0.48646283,0.522923,0.52321184,0.49355528,0.4548861,0.422645,0.39645302,0.36908403,0.3374494,0.3099467,0.29899156,0.31192705,0.34171405,0.37063,0.38021398,0.36220315,0.3214153,0.26985353,0.21858422,0.17533273,0.14948347,0.1565644,0.20701928,0.28982583,0.36547825,0.39223436,0.35767165,0.29177493,0.23957585,0.22699447,0.24701828,0.2777662,0.30432773,0.32616985,0.34456435,0.3560387,0.35293588,0.3369898,0.3161436,0.3009796,0.29312086,0.2937989,0.30515817,0.33243906,0.3723483,0.41234323,0.43526244,0.43039802,0.3996478,0.35950932,0.33554944,0.34750083,0.3906361,0.43254724,0.43363,0.37974408,0.29333612,0.21783085,0.18394591,0.19534834,0.23130055,0.27157432,0.30636033,0.34318563,0.3873049,0.4395624,0.48544994,0.51360244,0.5150621,0.49658874,0.46635714,0.4330268,0.39569822,0.35700944,0.32818875,0.3303372,0.3733673,0.4461585,0.5179035,0.5655524,0.58084613,0.57431006,0.54984313,0.5079519,0.44446477,0.37632084,0.33243254,0.33707914,0.3787656,0.41845787,0.42230856,0.39103952,0.35306302,0.33380923,0.33551538,0.34102026,0.3312124,0.29993197,0.25806198,0.22557874,0.21646719,0.2294342,0.25127146,0.26932606,0.2779294,0.2803757,0.28447306,0.29978716,0.33051857,0.37289786,0.41656032,0.4502207,0.46484172,0.4569008,0.4335402,0.4140917,0.41676068,0.43890485,0.4512951,0.42313763,0.35258254,0.27471262,0.23317897,0.24529481,0.29229662,0.3415419,0.38092944,0.42527762,0.49540856,0.58727497,0.6731368,0.7235573,0.7291422,0.69603866,0.63536835,0.5554169,0.468107,0.38732672,0.32967928,0.30452785,0.31271052,0.3411039,0.36903116,0.3759378,0.35315594,0.30720165,0.2548426,0.2114399,0.1857376,0.18168245,0.20674467,0.26526663,0.34928438,0.42881027,0.4702107,0.45573446,0.39967358,0.3351686,0.29514852,0.29180828,0.31427857,0.33915448,0.34940243,0.3430257,0.32858968,0.31334212,0.3012278,0.29298517,0.29015926,0.29063967,0.29525194,0.30616996,0.328468,0.3597636,0.3942022,0.42348,0.4404919,0.43487707,0.40188313,0.35254562,0.31325945,0.30509794,0.3289373,0.36994353,0.41139674,0.43648377,0.42769337,0.37551543,0.2932698,0.21258783,0.16189604,0.14720112,0.15455438,0.16553578,0.17163087,0.17638941,0.18975723,0.21856947,0.2633389,0.31735507,0.37165806,0.41494796,0.44033512,0.4451729,0.4353139,0.41764155,0.40108517,0.3927324,0.40019736,0.42388985,0.45573425,0.4791893,0.48003682,0.45570126,0.4209641,0.4007503,0.41017267,0.43936518,0.4586725,0.44678983,0.40984526,0.3742735,0.36127105,0.37101662,0.38620833,0.38485363,0.35182384,0.2867742,0.20601593,0.13672866,0.10374675,0.116920345,0.16577704,0.2250479,0.2710661,0.29598013,0.3094364,0.32453755,0.34343588,0.356848,0.35306588,0.3292348,0.29325983,0.26399574,0.2637076,0.30280137,0.3654106,0.41062322,0.4045582,0.3463812,0.27391326,0.22849856,0.22819889,0.25969553,0.30217877,0.34611896,0.39345095,0.44096294,0.46961868,0.46096495,0.4169333,0.36606255,0.33711335,0.33726963,0.3473133,0.34325778,0.3145382,0.27168834,0.23505838,0.22119786,0.23144579,0.2550957,0.2759221,0.2812643,0.26407427,0.2261504,0.17653076,0.13106929,0.10787996,0.12500386,0.18822403,0.2809859,0.36153066,0.38950107,0.3548148,0.28909788,0.2375691,0.22567438,0.24581175,0.27627853,0.302889,0.3255992,0.34550413,0.35824522,0.35581043,0.3399273,0.318962,0.30349162,0.29514003,0.2951207,0.3055532,0.33147767,0.36949667,0.4074973,0.42907774,0.42388722,0.39367566,0.35429105,0.33206213,0.3476086,0.39868256,0.45151678,0.46392766,0.41425538,0.3219058,0.22967945,0.17489357,0.16684867,0.19069816,0.22856665,0.27155408,0.32399628,0.38543355,0.45050678,0.5020352,0.5298212,0.5278135,0.5050847,0.47091952,0.4350175,0.3970692,0.35965502,0.3328412,0.33645034,0.37967405,0.451334,0.52141625,0.56799203,0.5837596,0.57905984,0.5565588,0.5159722,0.45317623,0.3863847,0.34421125,0.35029694,0.3921075,0.4331921,0.4430273,0.4247547,0.4042023,0.40224758,0.41752663,0.43173802,0.42369327,0.38061392,0.30513364,0.2158569,0.14071713,0.103465684,0.11173215,0.15362333,0.20493746,0.24566281,0.2714677,0.29301694,0.32199237,0.35955146,0.3951244,0.41345325,0.4023371,0.3623177,0.3117125,0.28433228,0.3025336,0.35739902,0.4050326,0.40699863,0.35936067,0.30046758,0.2717891,0.28877655,0.3312845,0.37169674,0.39894268,0.4222363,0.44883415,0.46647474,0.4556658,0.41340065,0.36399484,0.33496818,0.3350714,0.34930447,0.36141822,0.37003422,0.39068457,0.43677297,0.5047712,0.5716937,0.61585015,0.63332534,0.64142793,0.6578954,0.6864519,0.71290493,0.720053,0.6991625,0.658006,0.61201334,0.5723987,0.53365964,0.4842693,0.41970444,0.35211423,0.2977134,0.26870036,0.26841286,0.29195836,0.32207683,0.33309928,0.30723262,0.24938552,0.18692471,0.15034503,0.15399738,0.18898535,0.23356311,0.27259502,0.30556777,0.34135517,0.38206497,0.4189746,0.43844166,0.4321839,0.40282854,0.36106706,0.32271358,0.2995608,0.29781803,0.3170996,0.35444593,0.4004875,0.4348289,0.43318892,0.38419965,0.30355558,0.22381563,0.1734472,0.15972637,0.17090912,0.18697129,0.19284582,0.18341775,0.16584383,0.15395646,0.16574162,0.21281332,0.29532725,0.39422444,0.4813083,0.5296993,0.5288608,0.486595,0.42699984,0.379732,0.36574593,0.38560155,0.41945672,0.43924794,0.42632532,0.38286686,0.334174,0.3133129,0.3367016,0.3877941,0.42790172,0.42954573,0.39637277,0.3563291,0.3327824,0.33016264,0.3372428,0.34234428,0.34114876,0.33531138,0.3277932,0.31969312,0.3131306,0.3098947,0.30880952,0.30021665,0.27326372,0.22513866,0.16807997,0.12283438,0.11091175,0.14841759,0.23835641,0.36416736,0.4897225,0.5818374,0.6275094,0.63671845,0.618033,0.567521,0.4780369,0.3618618,0.2552148,0.19666104,0.20060259,0.24846156,0.30893734,0.3676225,0.43221155,0.51438373,0.6019668,0.6704362,0.7005851,0.6986825,0.6752823,0.63607764,0.57526034,0.4953754,0.41023377,0.34324595,0.31103536,0.3156691,0.3426324,0.36948952,0.37710246,0.35740015,0.31558588,0.2633999,0.21227467,0.17001887,0.14621662,0.15588312,0.20842831,0.29184356,0.36658034,0.39278594,0.35972536,0.2978029,0.24972223,0.23917325,0.2582165,0.2865264,0.31117418,0.3324702,0.35086367,0.3615859,0.35695466,0.3397285,0.31861985,0.30380842,0.29600728,0.29631725,0.30676317,0.3316487,0.3646858,0.38948813,0.3861929,0.34589145,0.2790381,0.21414113,0.1867858,0.21769436,0.29788718,0.38787714,0.44373408,0.4407258,0.38606676,0.30441222,0.22394757,0.16423038,0.13818668,0.1530299,0.20823371,0.28994346,0.36941728,0.42036137,0.4344428,0.4271994,0.41668487,0.41088215,0.4038433,0.3895704,0.36448666,0.3331263,0.3073623,0.3056219,0.33820137,0.3951043,0.45031014,0.48150906,0.48657897,0.4791601,0.46801257,0.44808975,0.40835872,0.35851523,0.32652816,0.33768663,0.3813175,0.42004824,0.42235288,0.39162123,0.3561181,0.33967075,0.34305453,0.3489834,0.339348,0.30896977,0.26933488,0.23922735,0.2306258,0.24079317,0.25776038,0.2713184,0.27747574,0.27881873,0.28152418,0.2943,0.3222349,0.36348012,0.4086946,0.44581804,0.4630723,0.45510876,0.4291964,0.40732014,0.40934777,0.43248942,0.4449521,0.41394293,0.33611193,0.24753404,0.19392009,0.19730671,0.24206804,0.29723215,0.34737432,0.40254173,0.4776949,0.56666523,0.6432362,0.682877,0.6801674,0.6432615,0.582717,0.5067861,0.42681134,0.35695204,0.31181797,0.29846373,0.3141176,0.34452415,0.37002802,0.3737489,0.34981975,0.30597904,0.2576268,0.21841983,0.19553089,0.19270217,0.21691923,0.2706103,0.34268543,0.40281257,0.42366254,0.39866686,0.35026184,0.31015316,0.3004689,0.32205388,0.3574988,0.38511622,0.3913585,0.37861064,0.35595763,0.33190116,0.31022063,0.29376313,0.28491437,0.28318644,0.28877875,0.30263308,0.3275715,0.36009005,0.39501584,0.42511106,0.44512036,0.44549513,0.42254543,0.38490546,0.3521421,0.3329666,0.31399563,0.27434263,0.20978403,0.1393241,0.086347274,0.061191473,0.059963048,0.07412819,0.09757596,0.12450018,0.1487137,0.16420774,0.17120582,0.17654318,0.19092174,0.22055443,0.26524076,0.31788698,0.37026668,0.41200686,0.4369174,0.44188583,0.43208206,0.41385627,0.39668646,0.3884363,0.39694038,0.4215654,0.45284334,0.47396925,0.47212628,0.44682884,0.41379547,0.39674923,0.4087263,0.43859026,0.45782825,0.44668832,0.4119252,0.37846938,0.36624053,0.37527597,0.38975942,0.38905308,0.35916862,0.29970878,0.22645949,0.16428548,0.13549411,0.14754134,0.19036968,0.24111247,0.2795105,0.29912367,0.30920693,0.32135254,0.33757624,0.34898853,0.34485993,0.3221722,0.2886366,0.26253787,0.2653716,0.3062793,0.36794043,0.4097542,0.39969707,0.33989224,0.2691374,0.2277297,0.2309016,0.26364386,0.30492815,0.3469963,0.39257452,0.43861356,0.4648905,0.45394942,0.40873685,0.35877398,0.33071104,0.32972094,0.3359553,0.32754007,0.2966318,0.25466493,0.22117853,0.2106412,0.22381572,0.24969733,0.27252796,0.27873948,0.2612798,0.2221467,0.17189364,0.12716247,0.10638047,0.12692197,0.19285782,0.28603962,0.36409172,0.38926253,0.35426322,0.29202583,0.24510193,0.23591697,0.25547016,0.28361666,0.3079755,0.32899365,0.34649226,0.35562262,0.34961867,0.33298042,0.3148173,0.30412012,0.2994467,0.30103567,0.31141594,0.3368374,0.37389228,0.41088152,0.43207526,0.4283613,0.40140986,0.3659506,0.3462508,0.36160442,0.40867814,0.4543601,0.4579145,0.40146077,0.30709067,0.218686,0.17065209,0.16872716,0.19517744,0.23194893,0.2709527,0.31776372,0.37328324,0.4336531,0.48313737,0.5113285,0.511488,0.49151066,0.46035266,0.42709222,0.39069402,0.35383978,0.3274939,0.33295605,0.37892413,0.45294824,0.52318376,0.56811017,0.581222,0.5743533,0.5498727,0.5078208,0.44425723,0.37870136,0.33964232,0.34996104,0.3966714,0.44247916,0.45494714,0.43179333,0.3972458,0.37460813,0.37093344,0.3731035,0.36227155,0.324904,0.26269898,0.19231452,0.13694449,0.11564156,0.1321079,0.17474158,0.22135144,0.2559297,0.27644107,0.29477397,0.32180128,0.35835764,0.3933085,0.41117606,0.39927447,0.3585615,0.3085002,0.28318748,0.30380893,0.3589549,0.40427554,0.4026263,0.3530289,0.29469225,0.2685516,0.28804386,0.33254486,0.3745565,0.4037195,0.42783272,0.45270026,0.46514788,0.44871882,0.40361175,0.35627756,0.33174217,0.33531165,0.34941003,0.3585213,0.36355293,0.3813658,0.4245218,0.48739552,0.54672384,0.58302623,0.5953043,0.60122865,0.6162498,0.6413839,0.66232485,0.6641771,0.6417451,0.6052202,0.5696041,0.5427552,0.51451254,0.47164083,0.4108921,0.34745142,0.2983757,0.27462044,0.27713415,0.29966703,0.32569268,0.33215845,0.30418554,0.24827464,0.19106968,0.16100258,0.16933028,0.20496769,0.24536328,0.27717793,0.30238163,0.3318001,0.36675104,0.3957611,0.40135565,0.37453476,0.3217325,0.2630324,0.22252232,0.21533634,0.24126542,0.28997234,0.3495462,0.40947834,0.45354533,0.4636496,0.43141565,0.37014553,0.3063186,0.25987038,0.23522605,0.22349852,0.21835358,0.21634911,0.21978448,0.22827987,0.24333227,0.2677586,0.3052362,0.3542279,0.40248787,0.43448678,0.43722782,0.4100305,0.36129233,0.30867457,0.2713407,0.2626933,0.28204823,0.31597397,0.34757075,0.36593625,0.3690442,0.36130634,0.3484191,0.3345739,0.32024062,0.30530778,0.2906685,0.27963528,0.2742127,0.27375478,0.27494636,0.27539524,0.27489454,0.27568993,0.2792206,0.28491035,0.2890687,0.28809503,0.2800214,0.26644322,0.25057876,0.23592103,0.22426818,0.21578918,0.20966148,0.20503098,0.20166071,0.19937606,0.19766325,0.19527,0.19117318,0.18527442,0.17848663,0.17170751,0.16517289,0.15854903,0.15177679,0.14554222,0.14116651,0.13948615,0.14000978,0.1411242,0.14178501,0.14205943,0.14255297,0.1425372,0.140876,0.13661738,0.13070805,0.12438795,0.11910263,0.11504232,0.11201748,0.109524995,0.10780696,0.10735389,0.10835772,0.11014707,0.11212731,0.11408431,0.116394825,0.11890084,0.12156614,0.12419627,0.12739469,0.13128543,0.13608778,0.14084762,0.14469492,0.1463085,0.14588678,0.1442814,0.14322732,0.14336593,0.14444807,0.1449763,0.14334698,0.13851316,0.13113838,0.12322234,0.11693118,0.112971194,0.11065314,0.108648576,0.10610726,0.10292879,0.10001001,0.09863456,0.09990118,0.10392744,0.11051396,0.118646555,0.1265859,0.1313501,0.13124444,0.12694277,0.12156252,0.118255906,0.11892453,0.12392799,0.1315458,0.13877855,0.14251,0.14251243,0.14089316,0.14057665,0.14221396,0.1442229,0.14390881,0.1396036,0.13186662,0.12288985,0.115241416,0.109804966,0.105882354,0.101703756,0.0963062,0.09001904,0.08464569,0.082172364,0.083836645,0.08919692,0.09711663,0.106277466,0.11626593,0.12585588,0.13352425,0.13688856,0.13602751,0.13278095,0.13129674,0.13412543,0.14234953,0.15445733,0.16853999,0.18160333,0.19085185,0.19415201,0.19260192,0.18954985,0.18894164,0.19165768,0.19616295,0.19916822,0.19852977,0.19319366,0.18427557,0.17348206,0.16252469,0.15164696,0.14097215,0.13138016,0.12472255,0.12210685,0.12298393,0.12600057,0.13014852,0.13514026,0.14059685,0.14577903,0.15004021,0.15294464,0.15424733,0.152835,0.14759932,0.13820724,0.12733346,0.119295806,0.11779749,0.12227464,0.12868054,0.1327589,0.13339573,0.13271199,0.13264503,0.13329275,0.1322915,0.12801334,0.12032905,0.11133691,0.102690406,0.09515097,0.088673465,0.08450937,0.084735475,0.091002256,0.10224042,0.11557076,0.12712269,0.13469858,0.13759963,0.13757648,0.13667029,0.13654684,0.13700093,0.13709868,0.13595031,0.13322389,0.12924853,0.12555064,0.12486746,0.1295955,0.13876148,0.14817089,0.15248321,0.1498947,0.14232816,0.13450623,0.1294487,0.12767266,0.1265481,0.12376353,0.11779409,0.10959143,0.10073335,0.09457331,0.093390316,0.09839848,0.10694823,0.11635061,0.12385442,0.12938592,0.1320902,0.13237332,0.13078588,0.12986831,0.13063073,0.13193117,0.1302616,0.123404056,0.112354845,0.10118436,0.09404265,0.093077905,0.09799307,0.10734431,0.11860501,0.12852687,0.13383633,0.13409007,0.13201909,0.13191472,0.13538612,0.14067435,0.14386319,0.14262229,0.13722123,0.13067508,0.12617062,0.12547636,0.12730898,0.12886804,0.12750494,0.12298634,0.11683941,0.11123792,0.10720977,0.10502013,0.10539275,0.11073019,0.12382594,0.14500326,0.16983931,0.19100897,0.20237891,0.20323305,0.19770485,0.19195978,0.18998973,0.19268475,0.19801317,0.20313384,0.20519085,0.20279361,0.19584166,0.18571277,0.17417723,0.16274925,0.15266746,0.14452322,0.13939512,0.13774203,0.14037089,0.14665274,0.15525997,0.16347648,0.16872598,0.16989918,0.1679458,0.16584037,0.16584155,0.16841881,0.17077218,0.16947742,0.16269207,0.15262134,0.14371602,0.13965975,0.1409315,0.14546613,0.15081163,0.15513016,0.1576461,0.15872176,0.15982454,0.16235842,0.16547589,0.16659364,0.1626959,0.15301384,0.13883053,0.12298433,0.108894594,0.099672265,0.09767879,0.103386946,0.11557051,0.13094717,0.14494629,0.15316737,0.15372497,0.1487407,0.14277168,0.13990468,0.14185101,0.14819668,0.15819384,0.1705152,0.18406929,0.19671725,0.20699878,0.21333121,0.21566623,0.21414912,0.20970033,0.20285101,0.19485761,0.18647482,0.17824526,0.16908026,0.15859956,0.14667164,0.13499068,0.12477678,0.118364096,0.11719603,0.122754835,0.1338916,0.14882337,0.1644581,0.17812043,0.18642603,0.1876281,0.18267196,0.17603005,0.17202736,0.17253256,0.17522751,0.17700191,0.1751259,0.17019041,0.1639443,0.15961999,0.15870617,0.16189371,0.16761632,0.17417735,0.17924275,0.18192331,0.1821206,0.18126155,0.1804173,0.1798517,0.17808194,0.17364405,0.16643086,0.15894352,0.15410554,0.15372793,0.15659319,0.16093487,0.16502358,0.16909392,0.17297857,0.17644922,0.17818785,0.177391,0.17402095,0.16970867,0.16720022,0.16891883,0.1752696,0.18478005,0.19500689,0.20404935,0.21048371,0.21434586,0.21639228,0.21771568,0.21807116,0.21695745,0.21449305,0.21189855,0.20977767,0.20702332,0.20172018,0.19248359,0.18039958,0.168375,0.16121136,0.16217202,0.17211841,0.18725204,0.20234759,0.21195072,0.21420348,0.2099307,0.20263197,0.19518436,0.18917431,0.18408978,0.17850311,0.17074066,0.16015165,0.14822485,0.13810895,0.1328787,0.13347435,0.1388069,0.14652288,0.15387852,0.15817328,0.15803957,0.15434784,0.15006846,0.14800446,0.14887428,0.15006672,0.14733316,0.13767843,0.12272743,0.10885748,0.10354641,0.11014982,0.12503804,0.1403331,0.14893194,0.14913423,0.1440496,0.1388259,0.13660945,0.13771683,0.14063261,0.1444145,0.14980392,0.15852554,0.17191052,0.18936096,0.20836747,0.22499669,0.23595631,0.2399416,0.23841405,0.2345606,0.23141854,0.23057455,0.23081999,0.22979768,0.22461252,0.21457744,0.19997872,0.18305378,0.16652326,0.1548435,0.15118499,0.15635276,0.16662125,0.17790942,0.18702607,0.19393444,0.19772585,0.19763553,0.19216026,0.1825398,0.1710009,0.16089928,0.15400611,0.15088426,0.15061994,0.15236779,0.1555626,0.15964906,0.16380543,0.16718161,0.16954654,0.17051987,0.16958982,0.16640262,0.16202962,0.158219,0.15615785,0.15526836,0.1537234,0.14974684,0.14287083,0.13475259,0.12814613,0.12590511,0.12942715,0.1394869,0.15503846,0.17347194,0.18910031,0.1968031,0.19410478,0.18548147,0.18078206,0.19245589,0.2264278,0.27716434,0.32829383,0.36456975,0.38090357,0.38395977,0.38357186,0.38568604,0.39112386,0.3978078,0.40375304,0.4074658,0.4088312,0.40941903,0.4112902,0.41583458,0.4192663,0.4140787,0.39126745,0.3489639,0.2936655,0.23768944,0.19200607,0.16265708,0.15094702,0.15431212,0.16920978,0.1924278,0.22260976,0.25540653,0.28312388,0.2957016,0.29116842,0.27506816,0.25867814,0.24799408,0.24435334,0.24520989,0.24940377,0.2568268,0.26577774,0.27221847,0.26934192,0.25398657,0.22741751,0.19744009,0.17286234,0.16123079,0.16465832,0.17850854,0.19297303,0.1981941,0.1914434,0.17757308,0.16501254,0.15869604,0.15891926,0.16229679,0.16515023,0.16413625,0.15847588,0.14978121,0.14291836,0.14357094,0.15659343,0.18174571,0.21283148,0.23991196,0.25652,0.26316822,0.26584408,0.2692572,0.27373362,0.2756391,0.2721206,0.26314035,0.25169522,0.24051948,0.23146506,0.2256672,0.22507334,0.22919531,0.23363727,0.230639,0.21667212,0.19458944,0.17295235,0.1587373,0.15610659,0.16450141,0.1814714,0.20225273,0.22364895,0.24216688,0.25512293,0.25813866,0.25121912,0.23850338,0.22846925,0.22666718,0.23464173,0.24946283,0.26661372,0.28139153,0.291139,0.29455075,0.29158708,0.28195354,0.26941547,0.26071426,0.26395634,0.28045496,0.30419663,0.32323244,0.32749942,0.31258658,0.28364882,0.2507846,0.2245806,0.20910656,0.20345421,0.20351373,0.20599724,0.2081186,0.20851444,0.20674789,0.20437698,0.2038066,0.20888561,0.22117998,0.23950338,0.2570945,0.2678783,0.26788816,0.25951475,0.24659169,0.2341357,0.22486454,0.22020842,0.21886452,0.21852916,0.21689557,0.21400273,0.21204542,0.2147909,0.22333558,0.23399897,0.23750198,0.22621517,0.19946672,0.1663853,0.13905616,0.12624986,0.12888771,0.14258397,0.16160955,0.18343699,0.20810507,0.23481216,0.25833654,0.27151346,0.2712941,0.261794,0.2514076,0.24656524,0.24924171,0.25797534,0.27107534,0.28778198,0.3070266,0.3242443,0.33149788,0.32117143,0.29295874,0.25390694,0.21589275,0.18843065,0.17706317,0.17975885,0.18849027,0.19238599,0.1861255,0.17302372,0.16165589,0.15791075,0.16128536,0.1664436,0.16808224,0.16426487,0.158442,0.15746179,0.16831607,0.19251232,0.22459151,0.2544564,0.27397498,0.28193066,0.28318557,0.28424552,0.287972,0.29375005,0.29917797,0.30302975,0.30468968,0.30424872,0.3015959,0.29802287,0.29540208,0.29633638,0.30149305,0.3089991,0.31371024,0.30919132,0.29126728,0.26035875,0.2234556,0.19025718,0.17045207,0.16729291,0.17930049,0.20091422,0.22914346,0.25959033,0.28703418,0.30193925,0.30047762,0.28539672,0.26755825,0.25582564,0.2549709,0.26318023,0.2761154,0.2884668,0.29838216,0.3051184,0.30869338,0.30538246,0.2947148,0.27876797,0.26518202,0.25843677,0.2610738,0.2699851,0.2800802,0.282981,0.27409163,0.25488225,0.23433225,0.22074328,0.21751231,0.22096306,0.22505613,0.22412533,0.2164234,0.20389856,0.19188045,0.18599589,0.19176145,0.21225442,0.24705578,0.28857002,0.32647035,0.35205826,0.36500064,0.36953148,0.37179574,0.3752592,0.38177907,0.39089298,0.40121165,0.41094005,0.42008922,0.42919123,0.43821207,0.44252494,0.43505988,0.40913823,0.36589298,0.31397966,0.26591602,0.23061812,0.21091495,0.20471668,0.20803832,0.2180235,0.23414092,0.25685602,0.28268275,0.3034288,0.3099694,0.30142686,0.2846202,0.26976213,0.26130655,0.2589787,0.26043156,0.26523268,0.27398026,0.28442073,0.29170892,0.28863096,0.2731084,0.24749376,0.22015159,0.19856192,0.18883775,0.1915163,0.2019049,0.21062063,0.20961215,0.19791727,0.18215115,0.17101532,0.16870052,0.17353117,0.1802007,0.18374513,0.18130289,0.17359717,0.16371898,0.15657361,0.15723878,0.16987659,0.19447263,0.22495277,0.2517486,0.26856813,0.27615544,0.28034744,0.28537798,0.29221055,0.298377,0.30243367,0.3029448,0.29982874,0.2917386,0.2792428,0.26476848,0.2537514,0.24837764,0.2457499,0.23864676,0.2242449,0.20561421,0.19007702,0.18199308,0.18296264,0.19140095,0.20547734,0.22205485,0.23961191,0.2556254,0.26744005,0.269866,0.26220703,0.24807179,0.23606384,0.2318822,0.23759146,0.250343,0.2655863,0.27827683,0.28630015,0.28934547,0.28864673,0.28340995,0.2757713,0.26948133,0.2712976,0.28250518,0.2999335,0.31443384,0.31827745,0.30661082,0.28325477,0.256817,0.23777221,0.22987674,0.23122467,0.2357921,0.2397267,0.24135894,0.24137354,0.24011011,0.23827831,0.23730095,0.24084632,0.25129208,0.26765236,0.2831514,0.29176632,0.29076815,0.28363883,0.27444935,0.26667085,0.2613286,0.25842157,0.25672773,0.25461438,0.2513617,0.24787416,0.24645253,0.24950294,0.25696224,0.2647549,0.26530188,0.25398415,0.23318529,0.21238266,0.20020783,0.19992046,0.20842649,0.22139342,0.23591769,0.25235942,0.2711644,0.2906873,0.30503002,0.30837524,0.29913867,0.28234854,0.26557836,0.2545628,0.25098154,0.25421143,0.26357397,0.27940375,0.3004965,0.32130578,0.33191726,0.32410547,0.2977166,0.26140627,0.22754051,0.20546167,0.19855474,0.20280325,0.2092359,0.20871663,0.19877094,0.18466578,0.17478631,0.17347032,0.17928535,0.1869715,0.191761,0.19085473,0.1847709,0.17567305,0.16613041,0.15664299,0.1466939,0.13628943,0.12771197,0.12412984,0.12713212,0.1352629,0.1448421,0.15221065,0.15515745,0.15306486,0.14651991,0.13682567,0.12600546,0.115935646,0.10798565,0.10227546,0.09821168,0.094822615,0.091744624,0.08933139,0.08836872,0.08888194,0.089782245,0.089449555,0.087330975,0.084152736,0.08122594,0.079247124,0.07845346,0.07875818,0.07999445,0.082198106,0.08687284,0.09624282,0.111273766,0.12869567,0.14307366,0.14963557,0.14791101,0.14059117,0.13243246,0.12753628,0.12810615,0.13343735,0.1414701,0.15040159,0.1595035,0.16857278,0.17844176,0.19142927,0.20878334,0.22713907,0.23787396,0.2343473,0.21773404,0.19825275,0.1874817,0.19233972,0.21010895,0.23124559,0.24414544,0.2444606,0.2370835,0.23395191,0.24685133,0.28067777,0.3290145,0.37286237,0.39384747,0.38677517,0.366341,0.35176575,0.35297707,0.36528978,0.3791788,0.38817942,0.391503,0.3914577,0.3908012,0.39071715,0.38915768,0.38132492,0.36221972,0.33199012,0.2986355,0.2755151,0.27269533,0.2899048,0.3173566,0.34294996,0.36000654,0.3683052,0.37172508,0.37321886,0.37382624,0.3740007,0.37724373,0.3884902,0.40682474,0.42136,0.4173566,0.3915528,0.35706663,0.33459544,0.33563077,0.35597244,0.38157633,0.3986906,0.40189388,0.39352897,0.38087356,0.36942723,0.36095062,0.35268128,0.3398073,0.3196645,0.29516235,0.27691647,0.27554277,0.29529953,0.32877636,0.36400113,0.39071807,0.406086,0.4124839,0.41456434,0.41574597,0.4184277,0.42478678,0.43739173,0.45345286,0.46282312,0.45016465,0.41054866,0.35454658,0.3050482,0.2779046,0.275365,0.2869615,0.30210832,0.31406906,0.32222164,0.32744953,0.33240142,0.3371848,0.3408835,0.33784488,0.32449454,0.30080107,0.27759126,0.2675541,0.27955368,0.30878374,0.3440677,0.373523,0.392629,0.40123415,0.40214586,0.3982209,0.39378834,0.39387217,0.40260813,0.41847625,0.43242764,0.43199256,0.4115963,0.37919703,0.3519292,0.34353617,0.35566166,0.3775288,0.39418712,0.39275336,0.370517,0.33540002,0.30389252,0.28959095,0.29437158,0.30591562,0.30598232,0.2835994,0.24390268,0.20675261,0.19456814,0.21799831,0.26920506,0.32828346,0.3762577,0.40508053,0.417444,0.4206576,0.42161298,0.4256966,0.4375857,0.45700014,0.47511998,0.4752941,0.4465665,0.39412537,0.33936572,0.30293962,0.29181936,0.29759568,0.30770528,0.31399933,0.31520042,0.31323585,0.3106064,0.3084739,0.30722925,0.30499342,0.29835144,0.28385386,0.26316372,0.24401931,0.23569071,0.2419684,0.2590742,0.27997443,0.29954514,0.3159723,0.33004928,0.3422865,0.3521609,0.3584771,0.36293802,0.3710917,0.3848265,0.39663872,0.3909138,0.36095357,0.31736812,0.28434002,0.28206232,0.31497073,0.3715036,0.42994452,0.46970284,0.47699502,0.45195457,0.4053205,0.35497773,0.3148742,0.28900528,0.27080166,0.25167024,0.23074214,0.21402788,0.20848648,0.21360053,0.22391391,0.23297743,0.23827337,0.24010946,0.24015957,0.24003953,0.24347134,0.25655913,0.286558,0.33143416,0.3769928,0.3997856,0.38803384,0.34910747,0.30727747,0.28169644,0.2779486,0.2875832,0.3005688,0.30991933,0.3142043,0.3144736,0.31383663,0.31439582,0.3162599,0.31487942,0.3053662,0.2863405,0.26613292,0.25658917,0.26642928,0.29285872,0.32648733,0.3567433,0.37832823,0.39050493,0.39605728,0.39828947,0.39986408,0.4022008,0.4075532,0.4167675,0.42692092,0.42858848,0.41437063,0.38571027,0.35548052,0.3358072,0.32855996,0.32219633,0.30272523,0.26490945,0.21974476,0.18873085,0.19092046,0.22901554,0.28585148,0.33398363,0.35110894,0.332564,0.29276595,0.25747356,0.24892913,0.27438906,0.32240984,0.37331703,0.4111576,0.43250647,0.44214714,0.44689524,0.45061406,0.4558053,0.46504834,0.4782696,0.488526,0.48323503,0.45409808,0.4065918,0.3578689,0.32481325,0.31278554,0.3160652,0.32501888,0.3331942,0.33839527,0.3408095,0.3412993,0.34065318,0.33962658,0.336628,0.32800007,0.31020483,0.2861228,0.26558736,0.2594278,0.27135038,0.2953172,0.32175222,0.34285817,0.35662726,0.3648125,0.37126842,0.3779377,0.38465548,0.3907416,0.39863792,0.40904233,0.41735026,0.41201475,0.38840297,0.35347167,0.32478273,0.3140291,0.3217452,0.3377504,0.3508922,0.35470453,0.34950277,0.34027004,0.33262512,0.32934764,0.3291479,0.32742047,0.32247207,0.3192562,0.33081636,0.36676928,0.4254987,0.4912951,0.54647803,0.5805319,0.59435105,0.59481734,0.5897144,0.5840218,0.5799547,0.5771918,0.5738073,0.5637222,0.53859586,0.49088228,0.42413458,0.3524859,0.29536793,0.26349428,0.25563452,0.2614452,0.27032804,0.27603322,0.2774165,0.2761241,0.27491698,0.27571523,0.27952513,0.28273872,0.2797741,0.26505423,0.24207847,0.22009666,0.20974742,0.212798,0.2243119,0.23637491,0.24508743,0.25085846,0.25774384,0.2681094,0.28170893,0.29608557,0.31344464,0.33652022,0.36252013,0.3764781,0.36453184,0.3270829,0.2831498,0.253742,0.24805553,0.25884026,0.27241996,0.2775129,0.27327037,0.2687424,0.27670953,0.30237353,0.33608702,0.35845515,0.35207298,0.3149213,0.26223257,0.22010483,0.21073152,0.24097542,0.2989396,0.3630179,0.41461048,0.44648692,0.46080482,0.46243203,0.4552083,0.44363332,0.4357563,0.43825504,0.4485946,0.45257077,0.4365628,0.4008181,0.3614935,0.33619392,0.3315395,0.34041142,0.35200584,0.35859406,0.3594556,0.35691547,0.35423887,0.35284808,0.35227314,0.3492813,0.33883312,0.31807116,0.29160997,0.27127185,0.268639,0.2864157,0.3170124,0.3487451,0.37247193,0.38571978,0.3911097,0.39352095,0.3949405,0.3948779,0.39339218,0.39477536,0.40135527,0.40782073,0.4008595,0.37398264,0.33458638,0.3020606,0.2915068,0.30717316,0.34249398,0.38643035,0.4263687,0.44989243,0.44981453,0.4275085,0.39324299,0.35820797,0.3274766,0.299566,0.27278104,0.25204214,0.24520361,0.2566431,0.28180984,0.31144607,0.3374181,0.3566111,0.3721021,0.39107332,0.41991308,0.45617798,0.48547164,0.49057508,0.46327785,0.41202202,0.35281417,0.3016362,0.26638833,0.2499079,0.24873812,0.25700986,0.26700178,0.2737576,0.27489617,0.27119195,0.2641884,0.25659406,0.2513565,0.25226867,0.25946975,0.2681229,0.26864648,0.25678352,0.23721725,0.2219723,0.21882826,0.22729988,0.23989856,0.24911241,0.25016084,0.24275063,0.22963136,0.21634267,0.20830546,0.21056603,0.22338283,0.24140488,0.25310943,0.2502474,0.23309994,0.2112261,0.19373865,0.18367995,0.17789263,0.17252888,0.16637932,0.16056937,0.15621895,0.15225028,0.14636983,0.1372344,0.1275291,0.121809214,0.12296575,0.12778649,0.13008268,0.12590073,0.11861203,0.115656264,0.12231096,0.13578792,0.1474725,0.14981061,0.14372277,0.13972972,0.15213822,0.1929261,0.2621598,0.34482917,0.40956187,0.42809406,0.3934771,0.33035207,0.27552977,0.2542359,0.2669114,0.29819235,0.33148107,0.3578322,0.37401143,0.37913105,0.3728645,0.35994878,0.34600723,0.3335484,0.3146808,0.28455922,0.2501927,0.23257186,0.24494083,0.27916703,0.310688,0.31834924,0.30059445,0.27315524,0.2622459,0.28754282,0.3486929,0.41574085,0.44501337,0.41111818,0.32841858,0.24427342,0.20186289,0.21436691,0.2588824,0.30714956,0.3465908,0.38813123,0.43687582,0.4835712,0.50485784,0.49519324,0.46397224,0.43173814,0.40462196,0.38049877,0.3519357,0.32162508,0.29937574,0.29739833,0.31995568,0.36248425,0.4164118,0.47322825,0.5245721,0.56006527,0.57052857,0.55184716,0.50971836,0.45937884,0.42303672,0.41478434,0.4286407,0.43433306,0.40480447,0.3383939,0.26698986,0.22419669,0.22206664,0.24482076,0.27343383,0.29903004,0.3235518,0.34377798,0.35271585,0.34470144,0.32718492,0.3100876,0.30057463,0.29705003,0.30114436,0.3167305,0.3480486,0.3896041,0.4320896,0.46506193,0.48347473,0.4845606,0.4738089,0.46511397,0.47202197,0.49250337,0.5004193,0.4702169,0.39714304,0.31314617,0.25582603,0.24784732,0.2777187,0.32224897,0.36129418,0.39278424,0.4222394,0.4545876,0.48702812,0.5110159,0.5192344,0.5080683,0.48290977,0.44946083,0.41333678,0.3737798,0.33721232,0.31851777,0.33755884,0.39674363,0.47517037,0.5397813,0.57193446,0.5726659,0.5555118,0.52392846,0.47635338,0.41253018,0.3550007,0.3311617,0.35431767,0.39863428,0.42495283,0.41050377,0.37096596,0.33634397,0.32570663,0.33334044,0.34237123,0.33820495,0.31869578,0.2916218,0.2690328,0.25774428,0.25849316,0.266142,0.2760888,0.28242955,0.2857704,0.2906147,0.30653858,0.3343793,0.3667493,0.39132178,0.40176442,0.39866027,0.3873433,0.37872934,0.3852315,0.41192934,0.44140503,0.44333884,0.3978335,0.31882998,0.24269478,0.19954927,0.19248664,0.2061811,0.23003174,0.2686809,0.32854465,0.39741156,0.44075182,0.42733347,0.35423318,0.25539732,0.1764375,0.14742522,0.16576453,0.20642209,0.24447124,0.2717773,0.29649916,0.32818154,0.3676195,0.40554282,0.42853165,0.42575395,0.39589107,0.3515205,0.31411445,0.30334425,0.3269416,0.3809059,0.44960055,0.5107347,0.53855014,0.51947767,0.45880106,0.38210952,0.3193802,0.29076007,0.29645133,0.31871784,0.33666775,0.3388892,0.329844,0.31765056,0.30768016,0.29873562,0.290833,0.2846199,0.28282604,0.2887784,0.30585346,0.33398402,0.3662974,0.3961924,0.41714868,0.42476788,0.4100214,0.3734205,0.32950065,0.30315518,0.30757567,0.33798,0.37989697,0.41794515,0.43398216,0.41077211,0.34532174,0.25951234,0.1852525,0.14321537,0.13151962,0.13606794,0.14429027,0.15274273,0.16600226,0.19064826,0.22959073,0.27987394,0.33408523,0.3838394,0.420311,0.43860614,0.43776074,0.42365146,0.40296093,0.3856194,0.3801197,0.3944471,0.42486045,0.45856866,0.4756508,0.46604195,0.43414995,0.40287545,0.39496157,0.41706738,0.44725433,0.45642862,0.4318075,0.3909063,0.36055228,0.35593662,0.36940327,0.38078785,0.36880398,0.3231465,0.24924797,0.16895878,0.109306365,0.092125565,0.12014244,0.17861897,0.2389744,0.28125232,0.3012519,0.3126609,0.3257241,0.34013522,0.34466347,0.33128688,0.30143848,0.2679192,0.2517391,0.2708422,0.32525173,0.38605475,0.4123118,0.38183013,0.31249666,0.24768744,0.22158802,0.23772983,0.27572003,0.31711677,0.3581809,0.40195262,0.44083264,0.45487288,0.4330723,0.3873115,0.34744355,0.33218324,0.33732972,0.34092107,0.3254658,0.29006255,0.24958326,0.22278668,0.21909511,0.23427095,0.25557283,0.2694826,0.26703823,0.24415366,0.20415477,0.15679571,0.118602924,0.1080505,0.14135297,0.2175308,0.3111347,0.37653434,0.38168648,0.3308493,0.2649707,0.22442275,0.2232229,0.24616647,0.27438125,0.29982305,0.32462806,0.34607992,0.3569001,0.35121107,0.33491978,0.3172821,0.30495724,0.2978635,0.29855505,0.31217948,0.34194753,0.38064954,0.41412738,0.42860225,0.41854087,0.3891852,0.35763726,0.34774005,0.37382188,0.42453814,0.4615475,0.4482056,0.37740362,0.28106406,0.20272605,0.16882984,0.17551349,0.20311196,0.23771155,0.27911046,0.33404008,0.40011147,0.46459398,0.50987166,0.52711755,0.5169949,0.4896883,0.45398068,0.41580108,0.37485108,0.33758685,0.31937018,0.33975947,0.40076444,0.48068228,0.54627556,0.5785858,0.5790426,0.56101704,0.52874166,0.4811264,0.41903332,0.36458,0.3437092,0.36773363,0.4109036,0.4366807,0.4253602,0.39329585,0.36855146,0.36750388,0.3825301,0.39311936,0.37832275,0.3286811,0.2511782,0.16859268,0.10789436,0.08913388,0.113142096,0.16464354,0.2176901,0.25648156,0.28009334,0.30213487,0.33144155,0.36624697,0.39362407,0.39961648,0.37667778,0.3318856,0.29064274,0.28367722,0.32210246,0.37982354,0.4110829,0.38877234,0.32901737,0.2762122,0.2650627,0.29634023,0.34352362,0.38177374,0.40613234,0.42586192,0.44196722,0.44103023,0.412434,0.366896,0.3310137,0.3217583,0.33350912,0.34811178,0.35653687,0.36819792,0.4006172,0.46069932,0.5339453,0.59363633,0.6235824,0.63028675,0.63624054,0.6561139,0.686244,0.7076955,0.7037351,0.67141575,0.6243713,0.5803423,0.54563737,0.5087764,0.45691076,0.38998488,0.32505968,0.2792418,0.26594257,0.2903937,0.3516229,0.43294358,0.5090743,0.5585456,0.57591724,0.5672174,0.5385929,0.49503577,0.4438006,0.4025979,0.39170074,0.42190275,0.48151588,0.5419931,0.58022285,0.59453654,0.60412973,0.6248198,0.65681773,0.68297464,0.6863131,0.66034085,0.61632806,0.5743734,0.5510962,0.54732317,0.55532104,0.5680752,0.5838783,0.59348536,0.57948494,0.5268256,0.44097474,0.34482458,0.26332667,0.20734163,0.17522572,0.16211028,0.16682674,0.18578589,0.20771222,0.21484153,0.19814242,0.16320382,0.12776469,0.105741195,0.101950355,0.11088318,0.124399185,0.13434274,0.13736807,0.13385922,0.12986232,0.1351866,0.16492559,0.2271233,0.31270707,0.38905928,0.42468902,0.41132247,0.37377858,0.34430876,0.34074044,0.35819587,0.3834374,0.40561914,0.41981184,0.42200407,0.40977105,0.38404688,0.3546027,0.33087727,0.3159808,0.2975061,0.26352465,0.21066605,0.15459025,0.11660808,0.11930301,0.17482363,0.28035086,0.4101757,0.5266513,0.60195714,0.6326522,0.63041085,0.5993276,0.53284645,0.43004617,0.31432822,0.225573,0.19387423,0.21808754,0.2706263,0.32508788,0.37818334,0.44220972,0.5197585,0.58874464,0.62571067,0.6257866,0.60872674,0.5876097,0.5602016,0.51244354,0.44406557,0.37197825,0.3212817,0.3065631,0.32313755,0.35117772,0.36826563,0.36123803,0.33056685,0.285625,0.23715055,0.1917398,0.15602511,0.14189725,0.16647011,0.2335052,0.32069412,0.382623,0.38700208,0.33795312,0.27558434,0.23790134,0.23708098,0.25806677,0.28370097,0.30700594,0.32973936,0.34888867,0.35770848,0.35162959,0.33629724,0.31994796,0.30758795,0.29924408,0.29800856,0.31006444,0.3394791,0.38115713,0.4252027,0.46102342,0.4822969,0.48560658,0.47644258,0.4693111,0.47793794,0.49902916,0.50561124,0.471912,0.39568982,0.31065997,0.25554416,0.25062633,0.28353497,0.33192894,0.3799074,0.4238433,0.45930755,0.47651938,0.46995974,0.4470894,0.42463169,0.41126654,0.4045681,0.39484152,0.3769505,0.34949723,0.3197076,0.30282792,0.3167112,0.3650103,0.42775404,0.47562328,0.49182677,0.48415956,0.46932387,0.45320025,0.42739657,0.3861041,0.3461925,0.33489814,0.36531994,0.4132208,0.4425547,0.4336681,0.40333924,0.377985,0.37447545,0.387579,0.4043623,0.40908897,0.39045644,0.34380612,0.27756202,0.21271811,0.17372106,0.17268665,0.20202214,0.23906703,0.26763475,0.28614795,0.3072457,0.33889654,0.3809731,0.42329165,0.45428082,0.46242428,0.44623634,0.41957018,0.40683267,0.4206457,0.44369435,0.43968344,0.3858057,0.2982706,0.22127527,0.19240586,0.21575762,0.2656971,0.31655964,0.36450168,0.42383432,0.501555,0.58414656,0.6472597,0.67493486,0.6649926,0.6235328,0.5579489,0.47952828,0.40145984,0.3396137,0.30501735,0.30228373,0.3234105,0.35063338,0.36282328,0.34681597,0.30374473,0.24721982,0.19445641,0.15727098,0.1411749,0.15090626,0.192917,0.26409528,0.3429489,0.3952831,0.4013699,0.36872208,0.32483754,0.29230317,0.2806867,0.28780887,0.3074881,0.32926095,0.34388033,0.34603432,0.3378224,0.32399547,0.30984122,0.29871702,0.29151046,0.28897968,0.29403728,0.31129268,0.3412446,0.3768207,0.40998825,0.43369767,0.4436072,0.43255866,0.40200582,0.3651308,0.33892205,0.323928,0.30060685,0.25272462,0.18433106,0.11934092,0.07674992,0.061508417,0.06582797,0.081146985,0.100840665,0.12031572,0.13586949,0.1463833,0.15490784,0.16847731,0.19402881,0.23418283,0.28535393,0.3401749,0.39001763,0.42618725,0.4432702,0.44047037,0.42383954,0.400813,0.38172877,0.37553713,0.39024615,0.4219118,0.45668522,0.47367445,0.46258357,0.4294078,0.39878783,0.39381084,0.41927114,0.4517373,0.4623872,0.44002792,0.40183738,0.37277174,0.36632422,0.37653825,0.38639846,0.3780223,0.3418981,0.28278825,0.21902429,0.17306942,0.16167402,0.18557091,0.23194845,0.27825132,0.31055805,0.32597244,0.3312206,0.32601765,0.30550483,0.26660877,0.21782966,0.17362915,0.14900035,0.15607287,0.2000804,0.2718617,0.3420943,0.377373,0.36126256,0.31016603,0.25870028,0.23621674,0.24850196,0.28261542,0.3243569,0.36871612,0.41460916,0.45160973,0.46136415,0.43566144,0.3889589,0.34986892,0.33567104,0.3405719,0.34352756,0.32766613,0.29298002,0.2538504,0.22858292,0.2256754,0.24058183,0.26048985,0.27248737,0.26885954,0.2471081,0.21138059,0.1705886,0.13916127,0.13364868,0.16883461,0.24307458,0.3311442,0.39011228,0.3920591,0.34382662,0.28430292,0.2485172,0.24690056,0.26532546,0.2889179,0.3117359,0.33470035,0.35314417,0.35955366,0.34985495,0.3308904,0.31238547,0.30063012,0.29614952,0.30100632,0.31925336,0.35202953,0.39113867,0.42228672,0.43272054,0.41807565,0.38552704,0.35343328,0.34596017,0.37517348,0.4272082,0.4625055,0.4467872,0.3762584,0.28473037,0.21363883,0.18615146,0.19568032,0.22307229,0.25513312,0.29256436,0.34160718,0.4008839,0.45936498,0.50136155,0.5181113,0.50893766,0.48234335,0.44669378,0.40834045,0.36834374,0.33381307,0.3225561,0.35745308,0.4450419,0.5607987,0.66315883,0.7203129,0.7302936,0.70623064,0.6568718,0.5804568,0.4843088,0.39815554,0.35786605,0.37512287,0.4212717,0.4538301,0.44888735,0.4173057,0.38460007,0.36817598,0.36637235,0.36441672,0.34587264,0.30242214,0.23986147,0.1762857,0.13254647,0.123140454,0.14703597,0.19091713,0.23372567,0.2642667,0.2839329,0.30562225,0.3361504,0.37213358,0.39971134,0.40476608,0.38060352,0.33635595,0.29902545,0.29745078,0.33868754,0.39323592,0.41774365,0.38988605,0.32974544,0.28015062,0.27227685,0.30424199,0.35029373,0.38802552,0.41411725,0.43740764,0.45679677,0.45715153,0.42763817,0.38004068,0.34223244,0.33188474,0.34328055,0.35753742,0.36419454,0.37175402,0.3969442,0.44736993,0.50983477,0.5609582,0.5868744,0.5943697,0.60212594,0.6211932,0.6469598,0.6639417,0.6593764,0.63236594,0.5947934,0.5608602,0.53332657,0.50014335,0.45044723,0.38716158,0.3281939,0.28852773,0.275689,0.2866316,0.3117198,0.33124444,0.3249354,0.28564474,0.22830182,0.18102671,0.16531932,0.1830383,0.21776605,0.25165355,0.2790178,0.3067174,0.3407297,0.37460077,0.39253306,0.38061965,0.33856764,0.28054518,0.22938675,0.20492263,0.21416967,0.25095293,0.30384564,0.36247194,0.41374707,0.43568698,0.40857553,0.33140555,0.23162265,0.14544232,0.09715267,0.08623638,0.09681845,0.10947403,0.11261038,0.105286956,0.09618938,0.09770572,0.11913481,0.16008188,0.20806217,0.2445498,0.2565129,0.24537773,0.22385825,0.20527177,0.1950786,0.19040878,0.1851033,0.17358571,0.1540084,0.12809901,0.10121814,0.0794762,0.0687128,0.07107999,0.08480405,0.10332033,0.1203352,0.13163336,0.13739485,0.13875574,0.13752227,0.13486923,0.13229226,0.13070615,0.13043116,0.13108516,0.132325,0.13395154,0.13634367,0.13935347,0.1421225,0.14251989,0.13920099,0.13254553,0.12503509,0.11912909,0.11593458,0.114575714,0.113563,0.11158464,0.108754225,0.10569721,0.103288986,0.10136458,0.09950334,0.09725287,0.09472359,0.092088066,0.0894643,0.08695393,0.0847827,0.08329951,0.082763515,0.08314196,0.08386288,0.08397156,0.08291477,0.08090241,0.07883719,0.07745696,0.077428915,0.0793267,0.08304784,0.08714188,0.088923745,0.0869461,0.0817929,0.07600427,0.071344495,0.068404555,0.06649678,0.0651642,0.06407043,0.06319686,0.062338814,0.061631862,0.061807256,0.064448655,0.07100358,0.08129138,0.092937134,0.102489375,0.10779896,0.10893635,0.1074579,0.104798965,0.10158638,0.09819906,0.094929665,0.09238904,0.09075015,0.09012135,0.089947306,0.08989131,0.089389436,0.08825752,0.08589382,0.08218407,0.07743765,0.07290313,0.069656916,0.068195544,0.067991816,0.068073384,0.0673786,0.06557525,0.06287923,0.06004754,0.05750942,0.05605403,0.05669431,0.06095205,0.06916358,0.08014277,0.09095072,0.098834574,0.10207764,0.10095751,0.09681919,0.09164997,0.08700032,0.08384195,0.08215994,0.08148828,0.08129995,0.08160391,0.08219767,0.08235407,0.08057466,0.07628738,0.07026977,0.06458286,0.06065614,0.058660377,0.05758506,0.05634165,0.05442938,0.0521449,0.050177082,0.049201746,0.049484983,0.05129805,0.054890957,0.060664225,0.06849558,0.07784555,0.08748073,0.09585315,0.10121388,0.10253474,0.09993929,0.09484466,0.08906073,0.08401582,0.08006981,0.07692823,0.0742116,0.07232341,0.07157441,0.07164019,0.070780665,0.06773704,0.062439222,0.0566009,0.05172405,0.048471168,0.046296474,0.044578362,0.042940024,0.041515406,0.040516432,0.04000215,0.039620634,0.038862843,0.037411842,0.03533512,0.032985993,0.030788986,0.02917614,0.02840135,0.02844052,0.028971888,0.029594222,0.029971287,0.029842213,0.029144628,0.028036602,0.026880538,0.02605979,0.02598009,0.027174793,0.029585809,0.032297228,0.033360332,0.031738203,0.027788261,0.023497999,0.020435354,0.019278495,0.019375822,0.019781966,0.019604309,0.018710602,0.017549435,0.017122777,0.018452875,0.022685578,0.030462066,0.041706014,0.054952666,0.06823235,0.07953611,0.087849505,0.09268566,0.09423197,0.09287194,0.08953077,0.08526824,0.08107843,0.077325426,0.0739285,0.07072514,0.06798112,0.06600275,0.06469653,0.06331858,0.061328992,0.058931217,0.056933314,0.055772126,0.055024814,0.05391914,0.05206564,0.04981691,0.047742594,0.046162274,0.044920605,0.04371025,0.04240288,0.041074365,0.03975901,0.038325105,0.036790207,0.03550097,0.034959037,0.035156146,0.035695482,0.036061496,0.0363823,0.03699179,0.038248394,0.039835434,0.041214604,0.04177844,0.04156989,0.040924333,0.040318776,0.039690953,0.038820174,0.037457004,0.03581573,0.03425671,0.033244263,0.033015043,0.033797424,0.035614613,0.038516074,0.042104404,0.045966525,0.049822927,0.054536622,0.061586916,0.0719142,0.08438489,0.096133165,0.104370244,0.10796761,0.107489906,0.10421545,0.09946576,0.09453083,0.09055284,0.08803994,0.08673831,0.085735805,0.08426654,0.08181206,0.07836733,0.073978655,0.068859816,0.063324116,0.058023337,0.05368415,0.05078219,0.04921846,0.04846068,0.047782127,0.046657447,0.044878308,0.042684894,0.040418655,0.03837392,0.0365909,0.035069495,0.03373979,0.0324826,0.031195497,0.029922985,0.028951073,0.028442934,0.028343236,0.028208358,0.027666017,0.026486263,0.024927465,0.023390776,0.022303015,0.021714047,0.021475246,0.021430576,0.021473363,0.021449238,0.020932162,0.019709537,0.0178936,0.016132358,0.014939018,0.0145529695,0.014707625,0.0150086805,0.015070133,0.014795665,0.014415689,0.014625069,0.01669634,0.022386713,0.03309885,0.048577715,0.066197425,0.08205688,0.09291283,0.097800106,0.09763663,0.09453014,0.09060951,0.08792323,0.08762724,0.089924924,0.093915604,0.0982536,0.101689935,0.10331309,0.10289079,0.100504525,0.09671303,0.09202879,0.08722448,0.082906984,0.07944236,0.07665289,0.074079394,0.07135143,0.06828377,0.06492128,0.061402276,0.058193374,0.05620252,0.057165634,0.06327542,0.07608439,0.0946706,0.11518989,0.13231587,0.14201736,0.14321603,0.1377273,0.1288211,0.119722076,0.11254903,0.107908726,0.10533347,0.10394317,0.1030368,0.10210686,0.10066991,0.09849864,0.09559471,0.092543446,0.0896728,0.087071784,0.08402479,0.08010921,0.075410455,0.07091995,0.06736889,0.064709835,0.062107295,0.059045654,0.056065753,0.054806113,0.057280045,0.065033965,0.07824996,0.095229335,0.11247001,0.12577444,0.1320783,0.13081728,0.12433054,0.11620426,0.10959955,0.10556088,0.10358554,0.10225757,0.100520015,0.09765384,0.09337318,0.08758887,0.080513604,0.07274706,0.065128915,0.05855548,0.05365031,0.05058169,0.04898114,0.048031,0.046937507,0.045254275,0.043093007,0.040804107,0.038694676,0.03681547,0.035014037,0.033162307,0.031202113,0.0292077,0.027186966,0.025247028,0.023498973,0.022144593,0.021217508,0.020687642,0.020436257,0.0203548,0.020258496,0.019926509,0.019286087,0.018479561,0.01791587,0.017850718,0.018317657,0.01882588,0.018902445,0.018157832,0.016807945,0.015234597,0.01397713,0.013277102,0.013278444,0.014080808,0.015980473,0.019630188,0.025883356,0.03566664,0.049102236,0.06532031,0.08219477,0.09751315,0.10937194,0.11685217,0.11952407,0.11779492,0.11260769,0.10566171,0.09856538,0.09268338,0.08843417,0.08558867,0.083325826,0.08098862,0.07834754,0.07552517,0.07267698,0.06984392,0.06727295,0.0653617,0.0642162,0.06329809,0.06168692,0.058966164,0.05548364,0.052142467,0.04970247,0.04843071,0.047974806,0.047585458,0.04663867,0.045092475,0.043388024,0.041941542,0.040623162,0.03914237,0.03738955,0.03577281,0.03453038,0.03353946,0.03229749,0.030661019,0.028989425,0.027903266,0.027666869,0.028029216,0.028477699,0.02874587,0.028841399,0.02887922,0.028660806,0.027914122,0.026506206,0.02473773,0.023066007,0.02183502,0.021140007,0.020836726,0.020731958,0.020573834,0.020246774,0.019707248,0.019043738,0.018335601,0.017637705,0.016945442,0.016239604,0.015530081,0.01492159,0.014480169,0.014193709,0.013835702,0.013266779,0.012465184,0.0116555905,0.010996126,0.010563265,0.01030159,0.0101864105,0.010204807,0.0103322305,0.010509092,0.010681596,0.010826334,0.010883212,0.010724316,0.0102221025,0.009415454,0.008519995,0.0077698343,0.007222135,0.0067661027,0.0062814862,0.0057671494,0.0053247367,0.0050519523,0.0049464903,0.0049199346,0.004867811,0.004785236,0.004733898,0.0047810264,0.0048959716,0.0050047557,0.0050142296,0.004869941,0.00452717,0.0040153186,0.0034244617,0.0029000582,0.0025333834,0.0023454062,0.0022821464,0.0022699395,0.0022380187,0.0021447048,0.0019955046,0.0018311715,0.0017019864,0.0016238344,0.0015772972,0.0015235028,0.001442321,0.0013405733,0.0012438145,0.0011693767,0.0011168973,0.0010737078,0.0010319226,0.000993948,0.00096289214,0.0009325627,0.0008895758,0.0008268303,0.0007498911,0.0006694842,0.0005930026,0.0005204292,0.00045164055,0.00038788174,0.0003334049,0.00028971824,0.00025506088,0.00022339575,0.0001903241,0.00015466545,0.00012039615,9.122854E-05,6.952011E-05,5.4075772E-05,4.2926888E-05,3.3759185E-05,2.5436093E-05,1.7721854E-05,1.1219879E-05,6.7249784E-06,4.8311367E-06]