[0.047591284,0.05229768,0.060697954,0.070021205,0.084029056,0.111001484,0.15449004,0.20701568,0.2536448,0.2819767,0.28948554,0.28229082,0.26743564,0.24736409,0.22034228,0.18672745,0.15325435,0.13228764,0.13479298,0.16226488,0.20408364,0.24358444,0.2693796,0.28100654,0.2852333,0.2862747,0.2819099,0.26732662,0.24300313,0.2169801,0.19998015,0.19811998,0.20960142,0.22815378,0.24831887,0.2679104,0.28649557,0.30249995,0.31390664,0.31934002,0.319756,0.3163559,0.3102541,0.3024138,0.29501197,0.28995278,0.28675508,0.28205442,0.27272364,0.25924587,0.24612157,0.23829825,0.23790209,0.24318153,0.25093487,0.25823757,0.2635227,0.2658968,0.26475468,0.25898117,0.24640055,0.22575319,0.19958635,0.17708702,0.1693495,0.18310128,0.21393722,0.25007144,0.27857924,0.29347396,0.29586813,0.29100063,0.28289887,0.27167842,0.2540833,0.22699524,0.19170259,0.15475681,0.12441497,0.10510411,0.095754035,0.09243942,0.09304583,0.09754485,0.10581174,0.11481208,0.12134374,0.1263846,0.13751554,0.16299085,0.20361471,0.24888216,0.28406802,0.29991105,0.29757747,0.28424892,0.2669047,0.24930477,0.23345143,0.22122431,0.21480398,0.21554904,0.22357349,0.23673664,0.2514292,0.26326296,0.26934347,0.2686586,0.261969,0.25076047,0.2374133,0.22507416,0.21745132,0.21672183,0.2228266,0.23277564,0.2428497,0.25001457,0.2536857,0.25513443,0.25563815,0.25461987,0.24976255,0.24041922,0.22989221,0.22393443,0.22478704,0.22766024,0.22379655,0.20741145,0.18026982,0.14886777,0.12085063,0.102157556,0.09936982,0.11676749,0.15419896,0.20218517,0.24804358,0.28038737,0.29597864,0.29613167,0.28481746,0.26433656,0.23655717,0.20403637,0.17283241,0.15225448,0.15095384,0.17092116,0.203427,0.2328188,0.24497168,0.23652177,0.21505232,0.19313018,0.17990743,0.17863886,0.1879886,0.20393427,0.22058336,0.23113804,0.23138438,0.22151776,0.20593773,0.1895339,0.17502995,0.1622171,0.14927581,0.13488837,0.11945894,0.106209524,0.100761294,0.10884144,0.13185437,0.16397695,0.19460826,0.21506663,0.22372265,0.225335,0.225973,0.2283243,0.23102476,0.23192209,0.2327566,0.23905385,0.25505963,0.2778211,0.2985316,0.30913767,0.3074075,0.29596722,0.27829567,0.2568377,0.23273551,0.20624928,0.17724474,0.14650175,0.11786806,0.09725029,0.09065074,0.09774208,0.1114727,0.119233035,0.11356276,0.09500632,0.07266233,0.054688543,0.04561783,0.04533644,0.05296124,0.06701765,0.08496886,0.1024136,0.1141401,0.11639154,0.109375864,0.09887901,0.094242714,0.10363662,0.12651867,0.1540813,0.17465669,0.1874875,0.20247923,0.23272128,0.2773507,0.32219976,0.34961998,0.35379612,0.34094134,0.32243013,0.30616948,0.29595682,0.29209676,0.29302904,0.2957337,0.2975146,0.2969983,0.29284564,0.28389,0.27013755,0.2554819,0.24570204,0.24432327,0.24987312,0.25826457,0.2679428,0.28019723,0.29618046,0.31175378,0.31918606,0.31079623,0.28608757,0.25328383,0.22734968,0.22026324,0.23340647,0.25600097,0.27461496,0.2820606,0.28007603,0.27191758,0.25803578,0.23758514,0.21545376,0.20281549,0.20887132,0.23243678,0.2598969,0.27594405,0.27158788,0.24936824,0.21786861,0.18760759,0.16617323,0.15748793,0.1622879,0.18123251,0.21391459,0.25651067,0.29629675,0.31862953,0.31500795,0.29401174,0.2734346,0.26974308,0.28472915,0.30935502,0.3308039,0.3425952,0.34421062,0.33957827,0.3325275,0.32613978,0.3208979,0.31597367,0.3094454,0.30087575,0.2904093,0.27926853,0.26851258,0.26040015,0.257576,0.26208052,0.27337873,0.28861788,0.3034328,0.31311563,0.31239748,0.29817918,0.27249482,0.24557082,0.22954766,0.23092006,0.24381511,0.25721908,0.26334313,0.264686,0.26797828,0.27733633,0.2889215,0.2949002,0.28981832,0.27550995,0.25982565,0.25054607,0.25072658,0.25783703,0.2677021,0.27691746,0.2836134,0.2865636,0.2854122,0.28070202,0.2723862,0.25871646,0.23755634,0.20970863,0.1808799,0.1597686,0.15502875,0.17113149,0.20559745,0.24777322,0.2828784,0.30005744,0.29758382,0.2829078,0.26606193,0.25551826,0.2545383,0.262262,0.2736763,0.28235796,0.28132525,0.26588747,0.2351668,0.19600509,0.1623006,0.15101828,0.17060904,0.21512811,0.26437625,0.29667842,0.29762027,0.26743695,0.21746494,0.1671778,0.1334779,0.12455803,0.13570994,0.15659106,0.1772664,0.1929218,0.2015409,0.20376563,0.20203315,0.20108612,0.2054616,0.21732283,0.23495193,0.25349495,0.26803902,0.2761365,0.27895483,0.2794259,0.280372,0.2831509,0.28667068,0.28798917,0.28386867,0.27441028,0.26326677,0.25547945,0.2531447,0.25440165,0.25494203,0.2510504,0.24142529,0.22761877,0.21293002,0.20058228,0.19205482,0.18646769,0.18134357,0.173756,0.16229396,0.14786254,0.1338421,0.1232978,0.11695218,0.11227248,0.106541365,0.099018134,0.09160931,0.08601299,0.08243496,0.0793773,0.075639874,0.07080401,0.06684021,0.068312086,0.082635604,0.11426117,0.16116156,0.2123617,0.2559509,0.28342572,0.2941127,0.29200825,0.28399268,0.27643427,0.27089557,0.26706508,0.26659438,0.2820603,0.32456338,0.39325988,0.46180996,0.49997437,0.49025533,0.44578516,0.39140108,0.34957466,0.32445404,0.3095821,0.2958293,0.28072906,0.2685922,0.26360118,0.26516116,0.2667038,0.26512662,0.26417315,0.27368578,0.29836348,0.33325514,0.3657135,0.38644227,0.39395654,0.39213708,0.38152066,0.35893464,0.32267833,0.27950844,0.2424147,0.2229755,0.22458254,0.2428089,0.27072695,0.30327904,0.33626422,0.36420205,0.37983882,0.38096,0.37461707,0.37756255,0.4039719,0.45442876,0.51000816,0.5442924,0.5396061,0.49963972,0.4443411,0.3962343,0.36686018,0.35453627,0.35043132,0.347194,0.34274375,0.33872235,0.33525324,0.3312242,0.32728836,0.33406147,0.3632404,0.4183167,0.47795406,0.51267165,0.49937496,0.44481388,0.37146103,0.30714858,0.2651296,0.24927033,0.25444672,0.2744551,0.29847962,0.31507456,0.31419358,0.29585806,0.26879564,0.24627322,0.23656279,0.24110126,0.25576863,0.2748734,0.29284596,0.30544007,0.31069347,0.30948636,0.30370346,0.29530203,0.285887,0.27989265,0.28217176,0.294687,0.31224796,0.3292655,0.3477087,0.37850192,0.42932686,0.49040985,0.53598946,0.54036975,0.49875537,0.42929837,0.36031505,0.3109298,0.2845494,0.2746086,0.2743691,0.2814785,0.29425228,0.3089817,0.3199691,0.32512447,0.32675806,0.3291417,0.3330182,0.335909,0.33621526,0.33668974,0.34253648,0.35378453,0.3631533,0.35896036,0.33734146,0.30445528,0.2742107,0.25539613,0.24942942,0.2511338,0.25723675,0.26687494,0.28070682,0.29591647,0.30788386,0.31276727,0.31421152,0.32309434,0.3548416,0.41480276,0.49056014,0.5497896,0.5633195,0.5225254,0.44911718,0.3746318,0.3225968,0.29662597,0.28913796,0.2902926,0.2945688,0.29930928,0.3018838,0.2989584,0.29080847,0.2876397,0.30704448,0.3596424,0.4324874,0.4920745,0.5074622,0.47481072,0.41766068,0.36627042,0.33599162,0.32451355,0.32240906,0.32484937,0.33035472,0.33614948,0.3339292,0.3184887,0.29306552,0.27048227,0.26208434,0.26999167,0.28597203,0.2986903,0.30251494,0.3005863,0.30050877,0.30584064,0.31187177,0.31127796,0.30256784,0.29411456,0.29671654,0.31419617,0.33898413,0.3600682,0.3739443,0.39053437,0.4228053,0.47287884,0.5226942,0.5468702,0.5297938,0.47920743,0.41759273,0.36703053,0.3365039,0.3230177,0.31970254,0.3222827,0.3297555,0.34109783,0.3524097,0.358142,0.35434195,0.34305537,0.33147776,0.3276039,0.33394584,0.34649763,0.3588064,0.36592528,0.36521646,0.35319135,0.32742807,0.289384,0.24923997,0.22174041,0.22013837,0.24615405,0.28887093,0.3284464,0.34926853,0.34684613,0.32869658,0.3044407,0.28085446,0.2644271,0.26867327,0.310307,0.39237976,0.48961958,0.5584534,0.5663422,0.51644844,0.44018522,0.37145445,0.32479206,0.29751244,0.2819481,0.27493677,0.2772704,0.28861845,0.3048782,0.32036853,0.3347061,0.35696295,0.39748833,0.45547748,0.5094432,0.5326352,0.5106894,0.45676994,0.39722756,0.35535145,0.3365618,0.33528936,0.34272674,0.35416827,0.36481884,0.3695127,0.36278188,0.34584606,0.325206,0.3101867,0.3050795,0.3088728,0.3165035,0.32397178,0.32939652,0.33300337,0.33457914,0.33379957,0.3305876,0.3270062,0.32551488,0.32738712,0.33020392,0.32977393,0.3239779,0.3178173,0.32379055,0.3544514,0.41185084,0.47930312,0.52949905,0.5390017,0.5054121,0.44479576,0.38108802,0.32996607,0.29622114,0.27738392,0.27072766,0.2748959,0.2879908,0.30601755,0.32525945,0.34647563,0.37747693,0.42537883,0.4879707,0.54564446,0.57439095,0.5598068,0.5116992,0.45084584,0.39566633,0.34900472,0.3088713,0.27534628,0.25458953,0.24971749,0.2574699,0.27042338,0.28447962,0.30298853,0.33421054,0.38117918,0.4339391,0.46954608,0.46928206,0.4319624,0.37785113,0.3306025,0.30266032,0.28969613,0.28075054,0.2669827,0.24468793,0.21377636,0.17690134,0.14063053,0.11286804,0.09920312,0.098831855,0.10613409,0.11364433,0.11665926,0.11611078,0.11966302,0.13756001,0.17443883,0.22310662,0.2666242,0.28854835,0.2837882,0.2610343,0.23514761,0.2144558,0.19677389,0.17628616,0.1557675,0.14752562,0.16219236,0.19645856,0.23279129,0.25326332,0.25258777,0.24200392,0.23800556,0.24928124,0.27058774,0.29001543,0.2998892,0.30057523,0.29580203,0.28634968,0.2710139,0.25146526,0.23538506,0.23266615,0.24814396,0.2781219,0.3142222,0.3511324,0.39043543,0.43378052,0.4768808,0.5047023,0.5049843,0.47359976,0.42304707,0.36777905,0.320513,0.28378892,0.25923514,0.2479698,0.25322986,0.27392685,0.30402395,0.3331118,0.3528937,0.3603381,0.35783327,0.34905615,0.33627763,0.3221197,0.31115744,0.31058788,0.32310894,0.3439083,0.36044624,0.36328042,0.35254398,0.33801612,0.3293223,0.32781312,0.3271091,0.31900194,0.30108234,0.27746534,0.2571901,0.24729532,0.24880123,0.25636098,0.26716003,0.28856874,0.33423528,0.40778434,0.48845246,0.5398703,0.5336947,0.4729445,0.3881203,0.31655917,0.27830592,0.27102986,0.280087,0.2928051,0.30441448,0.3145491,0.32240698,0.32722616,0.33278272,0.35042718,0.38940743,0.44695833,0.5004291,0.524992,0.5075607,0.46095005,0.4074439,0.3681501,0.34847823,0.3454152,0.35069704,0.35884836,0.36476442,0.3644227,0.35379377,0.33334783,0.30779338,0.28402385,0.26574168,0.25327644,0.24564463,0.24285178,0.24489939,0.250684,0.25818896,0.26614377,0.27388307,0.2807162,0.28478143,0.28424644,0.2783392,0.2684381,0.25853345,0.2557232,0.2707939,0.3125519,0.37987247,0.45364174,0.50534934,0.51348466,0.47986484,0.42540634,0.37469885,0.34123993,0.3257899,0.32301855,0.32653368,0.33084464,0.3309735,0.32488286,0.3148102,0.3070236,0.30761757,0.3183925,0.33538535,0.35137257,0.36152673,0.3659378,0.3691927,0.3720201,0.36886004,0.34860584,0.30794156,0.25459895,0.20570719,0.17285581,0.15736143,0.15119605,0.14784245,0.14696409,0.15390366,0.17113923,0.19410259,0.21227503,0.22158211,0.23069347,0.26017946,0.32254437,0.40897003,0.48630622,0.52123433,0.5008977,0.44252563,0.3762107,0.32613364,0.29876995,0.2878408,0.2841611,0.28333953,0.2854791,0.28991064,0.29226252,0.28980145,0.29017267,0.31069723,0.3631822,0.43618822,0.49684814,0.5132505,0.4799943,0.41965437,0.36382604,0.32994446,0.3179098,0.31863263,0.32681724,0.33962533,0.3544037,0.36368218,0.36254153,0.3508292,0.33577505,0.32412884,0.31873766,0.31634545,0.31174633,0.3020102,0.2892556,0.2795578,0.2778338,0.2839949,0.2930661,0.3000643,0.30377623,0.30636358,0.31036496,0.31594098,0.32359508,0.33653614,0.36400732,0.41225275,0.47756958,0.5381189,0.56776,0.5496244,0.49056295,0.4129957,0.34243882,0.29378366,0.26955995,0.26403603,0.26916763,0.27828872,0.28691113,0.29225498,0.29285082,0.28868416,0.28131965,0.273008,0.26514637,0.2587155,0.25573745,0.26167992,0.28108832,0.31257308,0.34410092,0.3610164,0.35519323,0.33153704,0.30138588,0.2741922,0.2529817,0.2369529,0.22572362,0.220549,0.22365956,0.23432499,0.247281,0.25457296,0.25535247,0.26306835,0.29833078,0.36994407,0.4581879,0.52570647,0.54108745,0.5023021,0.43155766,0.3582945,0.30006492,0.2606106,0.23690234,0.22744091,0.23231775,0.24778886,0.26397935,0.27138844,0.27232566,0.2850118,0.3293867,0.40702987,0.48928937,0.53823286,0.5320751,0.48437247,0.4245108,0.37750995,0.3476837,0.33059618,0.32216117,0.32407463,0.33545294,0.34987345,0.35775638,0.35498926,0.3443257,0.33193496,0.32125923,0.31323507,0.3078666,0.30551592,0.30572668,0.30718765,0.30875334,0.30990446,0.31023768,0.30946454,0.30801687,0.30745348,0.30894327,0.31181225,0.31470656,0.31916788,0.33372828,0.3685936,0.42619303,0.48978496,0.53188616,0.52999395,0.48574662,0.4196407,0.35796785,0.3153436,0.2941487,0.28804517,0.28951213,0.29232574,0.29334703,0.29210702,0.29115865,0.29736796,0.32304415,0.3784769,0.46085176,0.5445233,0.59561116,0.59234333,0.545647,0.48316225,0.43068078,0.39058697,0.35652122,0.32196867,0.29224443,0.27156964,0.26119602,0.25621116,0.2557771,0.2656432,0.29871473,0.3614966,0.44292083,0.50961083,0.52809817,0.48781192,0.41386965,0.3444238,0.30562735,0.29654098,0.30204892,0.30739483,0.30721843,0.3018321,0.29475224,0.28995296,0.2908767,0.29665175,0.30235836,0.3023827,0.29473016,0.28136605,0.2642873,0.2453181,0.22680996,0.21527381,0.21536238,0.22675838,0.24073096,0.24945103,0.24999277,0.24703509,0.2459647,0.25066173,0.2617501,0.2779112,0.29501346,0.3073468,0.30947402,0.2993778,0.27872205,0.25357848,0.23229195,0.22312747,0.22884661,0.24555333,0.2648015,0.27966022,0.2871336,0.28749385,0.28084293,0.2663773,0.24476045,0.22105323,0.20420323,0.20105432,0.2118293,0.22955401,0.24629556,0.25743398,0.26358354,0.2673013,0.2707103,0.27388623,0.27615312,0.27737033,0.27834964,0.27980438,0.2814622,0.28248903,0.2824107,0.28148594,0.28013113,0.27851176,0.27652076,0.27419055,0.27181366,0.269946,0.26899555,0.2688498,0.26886246,0.26829016,0.26693428,0.2648196,0.2620473,0.25844517,0.2544831,0.2509583,0.24868017,0.24747054,0.24680299,0.24653448,0.24728681,0.2498575,0.2544389,0.26059076,0.26699865,0.27217314,0.2746031,0.27424583,0.27202904,0.2698964,0.26892367,0.26955095,0.27096048,0.27221438,0.27194247,0.2691592,0.2627424,0.25213233,0.23703456,0.2183751,0.19782418,0.17771417,0.15966153,0.14437003,0.13168837,0.122077405,0.117772676,0.12276726,0.14045326,0.17022817,0.2063853,0.24079429,0.26760063,0.28563938,0.29635552,0.3005267,0.2966765,0.28402343,0.26496834,0.24523877,0.23011617,0.22139251,0.21780728,0.21727449,0.21887262,0.22188956,0.2253686,0.2279418,0.22885884,0.22770165,0.22385801,0.2157262,0.20210697,0.18349682,0.16375543,0.14826672,0.1421343,0.14744473,0.16280891,0.18324758,0.20186837,0.21288252,0.21402432,0.20705943,0.19521753,0.1811145,0.16580278,0.14972365,0.13371728,0.119324476,0.10869447,0.10398983,0.10659825,0.11608305,0.12950407,0.1434847,0.15577258,0.1661397,0.17290056,0.17241044,0.16095026,0.13952203,0.1140931,0.0924711,0.08030187,0.079908915,0.08943992,0.10317463,0.112442665,0.111367255,0.09999169,0.084599435,0.071609385,0.06416048,0.061202183,0.060497265,0.060283672,0.059992407,0.059602406,0.059277553,0.058981907,0.058613237,0.05805416,0.05735643,0.056514647,0.05544581,0.054024905,0.052975502,0.054715272,0.06386995,0.085332476,0.12127993,0.16837472,0.21861212,0.2622633,0.29156297,0.3026118,0.29675004,0.2805626,0.26378176,0.25372848,0.2500832,0.24458288,0.22755514,0.19645046,0.15976717,0.13270618,0.12910277,0.1527323,0.19614838,0.24293824,0.277794,0.29226816,0.28902945,0.27681097,0.2655289,0.26028073,0.26012442,0.26006374,0.2566745,0.25190517,0.25118887,0.2574394,0.26773444,0.27651164,0.280502,0.28018764,0.27696756,0.2713803,0.264567,0.25960156,0.26094005,0.2703885,0.2861376,0.30286643,0.31548366,0.32109842,0.32083538,0.31891826,0.32004538,0.32656536,0.33719757,0.3490517,0.359789,0.36874196,0.37588263,0.38108012,0.38416836,0.3854957,0.3857751,0.3856244,0.38506424,0.38362098,0.38062298,0.37611046,0.3713753,0.3685503,0.36895832,0.37144133,0.37252903,0.3682809,0.35736862,0.34214512,0.32779434,0.31890735,0.3176216,0.32300547,0.3321185,0.33972192,0.33871523,0.32343438,0.29488456,0.26344198,0.24293214,0.24172354,0.25635722,0.2758287,0.2895881,0.2939978,0.2910727,0.28415582,0.27524832,0.26615462,0.26010457,0.26002955,0.2646126,0.2669194,0.25833252,0.23546773,0.20344348,0.17300773,0.15324987,0.14660083,0.14929087,0.15585877,0.16302486,0.16989082,0.17655033,0.18324614,0.19080342,0.20060892,0.21295492,0.22655606,0.23878755,0.24837387,0.25536296,0.26131544,0.2671493,0.27359197,0.28035152,0.28688124,0.29178762,0.29335758,0.28932035,0.27727777,0.2557135,0.22625148,0.19538979,0.17358695,0.170349,0.187662,0.21748026,0.2454174,0.25942883,0.25411463,0.23112977,0.19515218,0.1537344,0.11606387,0.092070885,0.08797381,0.104620375,0.13691522,0.1763684,0.21280931,0.2376879,0.2459897,0.23877753,0.22195691,0.2045138,0.19340092,0.19122386,0.19490524,0.19945861,0.20106924,0.19925845,0.19476111,0.18752795,0.17631613,0.16074242,0.14258078,0.12493958,0.110834576,0.10230407,0.10091293,0.1060425,0.114618234,0.12083459,0.12107282,0.11496421,0.105818816,0.096055456,0.08697245,0.078701705,0.0721741,0.06821687,0.06702423,0.06755492,0.06845767,0.068671145,0.06800076,0.06669593,0.06512616,0.06337675,0.061557114,0.060004935,0.059609983,0.061724145,0.06844959,0.08213856,0.10459254,0.13492884,0.16922416,0.20153461,0.22729893,0.24418564,0.25124422,0.2465749,0.2286889,0.19941163,0.16638346,0.14119187,0.13490887,0.15284927,0.19168703,0.24018216,0.28439352,0.31390166,0.3260354,0.32408467,0.3138863,0.3000057,0.2863338,0.27604136,0.27145207,0.2717434,0.27283862,0.26988792,0.26039356,0.24533437,0.2269978,0.20720601,0.18716411,0.16850547,0.15289533,0.14027205,0.12841895,0.114744216,0.09994287,0.08889032,0.08920768,0.10461125,0.13183402,0.15951236,0.17655565,0.17686753,0.16304113,0.14079912,0.11595871,0.091367096,0.06860351,0.048615497,0.032490477,0.020871155,0.0136043355,0.009755294,0.008091764,0.007622139,0.007711217,0.007976573,0.008148898,0.00857059,0.011041169,0.019705158,0.039205275,0.07072465,0.10739855,0.13667625,0.1489253,0.14730419,0.1467707,0.16150293,0.19140166,0.21999903,0.2281398,0.20878367,0.17389107,0.14453009,0.13628381,0.14762138,0.16265492,0.16420734,0.14708222,0.12042624,0.09762094,0.08587456,0.08413094,0.089960694,0.103764325,0.1266327,0.15397179,0.1763003,0.18442793,0.17679064,0.15814035,0.1359691,0.11520781,0.098512255,0.08725259,0.08380198,0.090519704,0.10792229,0.13200878,0.15575276,0.1722809,0.17838271,0.17425244,0.1616941,0.14279033,0.12017205,0.097940736,0.080937155,0.07236858,0.071102686,0.07183838,0.06859786,0.058885515,0.04476438,0.03050741,0.019324424,0.012054847,0.007826164,0.005426803,0.0040279916,0.0034541877,0.0043582763,0.00851975,0.018284122,0.035212692,0.058421265,0.08473551,0.11012334,0.13164453,0.14756471,0.15664886,0.15726608,0.14872144,0.1339323,0.12217302,0.12630357,0.15535958,0.20561421,0.26157215,0.30457723,0.3251195,0.32514656,0.31398043,0.300148,0.2876114,0.27446926,0.2549089,0.2240976,0.18311246,0.14014767,0.10428267,0.08007897,0.06681407,0.063812785,0.07109422,0.086158164,0.100969166,0.10814377,0.10902927,0.11478007,0.13612212,0.17308344,0.21440929,0.24690454,0.26358786,0.2655709,0.2578329,0.24657243,0.23632354,0.22969286,0.22600491,0.22434962,0.22399879,0.22508657,0.2260151,0.22569472,0.22612475,0.23249072,0.24853687,0.27072588,0.29062852,0.30002186,0.2985612,0.29255727,0.29057333,0.29596564,0.30519107,0.311829,0.3118917,0.30593994,0.29538092,0.28110108,0.2640055,0.24839039,0.23956163,0.24052341,0.24844809,0.25795105,0.264436,0.26677227,0.264372,0.254881,0.23384501,0.19908153,0.15503877,0.11326953,0.08784741,0.08748263,0.111121416,0.14780118,0.18350308,0.20710899,0.21496606,0.20891076,0.19385189,0.17429094,0.15367879,0.13344689,0.113907725,0.09451267,0.07551774,0.057636406,0.042432934,0.03147907,0.027590029,0.034385685,0.05426796,0.083667696,0.11261147,0.1305409,0.13602738,0.13873227,0.15214866,0.18265569,0.22561198,0.26982263,0.30387664,0.32126018,0.3212597,0.30973879,0.29561338,0.28670332,0.28455928,0.28534976,0.2834861,0.27685905,0.26703426,0.25702402,0.24770753,0.23751016,0.22450668,0.20934226,0.19589514,0.18937637,0.19282365,0.20575903,0.22372626,0.24162574,0.2548091,0.26178157,0.26225516,0.25733706,0.2472213,0.23163606,0.20911984,0.17897679,0.14299147,0.106453925,0.07562055,0.054360133,0.04308961,0.040798206,0.046998575,0.059551377,0.07313732,0.07984189,0.07712834,0.07071294,0.07450455,0.099281095,0.14654997,0.20382094,0.25340107,0.28042817,0.2813613,0.26100466,0.2281124,0.18994212,0.15362252,0.12603438,0.11492827,0.123671494,0.15006357,0.18326737,0.21124177,0.22534437,0.227149,0.2237251,0.22309892,0.22809623,0.23717494,0.24644084,0.25265208,0.25446048,0.2526327,0.24937291,0.24670239,0.24504972,0.24231036,0.23476322,0.21879482,0.19361691,0.16256575,0.13290182,0.11341647,0.11060181,0.12568049,0.15322071,0.18479477,0.21304871,0.23506896,0.2505432,0.25950295,0.2613044,0.25617588,0.24624604,0.23464799,0.22315551,0.2105522,0.19377941,0.1713149,0.14615455,0.12373641,0.10802582,0.098144256,0.09171479,0.08745825,0.08685505,0.08953255,0.09248646,0.09052277,0.08351224,0.07781789,0.08584184,0.11499851,0.16286111,0.21496888,0.25621784,0.2775042,0.2800754,0.2697014,0.2528256,0.23329325,0.21244894,0.19071399,0.17014368,0.15525885,0.15017037,0.15407796,0.16214482,0.16887634,0.17396538,0.18014608,0.19113582,0.20606339,0.22189176,0.23499335,0.24564354,0.25461528,0.2604182,0.2562042,0.23633935,0.20291398,0.16963029,0.15271753,0.15935738,0.1803592,0.19752163,0.1965642,0.1764227,0.14584665,0.114814185,0.088550925,0.07034653,0.06533365,0.079772264,0.11420218,0.15910278,0.19864267,0.22011507,0.2213341,0.20967154,0.19586559,0.18738528,0.18630874,0.19055526,0.1967992,0.20297672,0.20862453,0.21425124,0.21922414,0.22233933,0.2225107,0.22088076,0.21972199,0.22105236,0.22439073,0.22747017,0.22758603,0.22381167,0.21648298,0.20593774,0.19034387,0.16715078,0.13577573,0.10072366,0.06976945,0.05016472,0.044606928,0.05114718,0.0647873,0.07951743,0.08962586,0.091033526,0.083489746,0.071877025,0.06556532,0.07327157,0.09776258,0.13374846,0.17317496,0.2106293,0.24464886,0.27234915,0.28644422,0.27861938,0.24758554,0.20428284,0.16664334,0.149521,0.15465401,0.17302127,0.19298847,0.20919602,0.2213893,0.22879533,0.2263277,0.2094401,0.18039201,0.15180455,0.13878979,0.15096934,0.18437569,0.22659536,0.26332894,0.28789303,0.3007921,0.30641332,0.30664232,0.29941964,0.2811015,0.25119427,0.21484935,0.18059874,0.15527876,0.14064038,0.13429399,0.13431175,0.14046167,0.15288417,0.16735768,0.17719077,0.17700066,0.1679319,0.15546705,0.14500248,0.13847853,0.13549636,0.13514775,0.13574265,0.13332069,0.123158775,0.10353454,0.07987263,0.06337733,0.065830655,0.090529084,0.12830655,0.15991719,0.16901112,0.15236744,0.123325504,0.100571185,0.09587971,0.10651261,0.120339096,0.12627946,0.122514546,0.116819195,0.11897427,0.13371782,0.15671879,0.17867212,0.19040763,0.18975806,0.18122889,0.17332578,0.17082469,0.17331089,0.17655565,0.17820577,0.1785477,0.17884685,0.17856987,0.17564541,0.16833584,0.15648888,0.14122736,0.123877935,0.10547585,0.087066166,0.069972984,0.055633355,0.04492909,0.037926715,0.03395694,0.032158434,0.031741317,0.032230455,0.033332545,0.034929793,0.03687045,0.039011147,0.041106075,0.043029685,0.044849396,0.04724585,0.051449165,0.059102256,0.07144323,0.088731475,0.10966196,0.13125049,0.14911078,0.1587876,0.15810664,0.14938837,0.14004742,0.14016579,0.1581911,0.19549233,0.24458838,0.29128733,0.3228965,0.33444497,0.33101436,0.32182255,0.31327733,0.30660605,0.30289876,0.31126443,0.34576818,0.41269776,0.4958798,0.5623887,0.5846856,0.56079036,0.5129987,0.4670259,0.43554202,0.41526875,0.39848277,0.38126156,0.36547396,0.35395774,0.34696457,0.34242082,0.33911374,0.33906043,0.34637496,0.36287567,0.38508758,0.40529284,0.4170959,0.4201046,0.4179132,0.41387442,0.40558347,0.3897508,0.36537477,0.33958682,0.32222018,0.3208823,0.33420834,0.35384798,0.370903,0.38244268,0.39197278,0.40357134,0.4175907,0.43214777,0.4488945,0.4756136,0.518055,0.57114005,0.6144573,0.62803245,0.6050732,0.56043863,0.514849,0.4830185,0.46509203,0.45487976,0.4462264,0.43769288,0.42993173,0.42324233,0.41563773,0.4070774,0.40415928,0.4209249,0.46684375,0.5327635,0.5890737,0.6040852,0.56725246,0.49601266,0.42172047,0.36792293,0.34127414,0.3352473,0.34218323,0.3553209,0.3695109,0.3764104,0.37153435,0.35553944,0.33733606,0.32605696,0.3274741,0.33996224,0.35696018,0.3708514,0.3775296,0.37774935,0.37399212,0.3669637,0.35563686,0.340935,0.32872668,0.32654443,0.33794013,0.35797,0.37901935,0.3984228,0.426,0.4739635,0.5443669,0.61520356,0.6541897,0.63872343,0.576667,0.49679652,0.42859957,0.3838129,0.35813788,0.34323248,0.3348733,0.3334724,0.33860734,0.3479816,0.35796532,0.36703765,0.37524736,0.38329902,0.39068285,0.39652196,0.40105057,0.4057376,0.41126278,0.41540825,0.41373253,0.40356925,0.38658953,0.3686159,0.3552628,0.34921682,0.34920284,0.35193405,0.35449383,0.35682353,0.36246726,0.3756044,0.3965614,0.42079744,0.44469437,0.47248188,0.51366854,0.5714643,0.6314234,0.66766214,0.6595969,0.60919166,0.53742445,0.4703691,0.42214105,0.39331266,0.37677336,0.36677113,0.36011577,0.35359883,0.3420355,0.32347703,0.30676743,0.31435063,0.36619696,0.46079907,0.5632338,0.62921816,0.6327169,0.58595335,0.5202859,0.4635919,0.42388806,0.39718962,0.37834647,0.36738577,0.3653718,0.36924425,0.37113777,0.36539277,0.3532206,0.34172466,0.3356755,0.33340475,0.32952705,0.32179078,0.3145227,0.31399256,0.3218312,0.3320186,0.3365812,0.33375755,0.33011925,0.33496952,0.35107744,0.3730532,0.39225695,0.40665996,0.4242233,0.45818377,0.5136762,0.5790181,0.6282255,0.6385942,0.60549134,0.54647326,0.48675942,0.44450107,0.4221339,0.4125724,0.40781018,0.4049441,0.40418875,0.4048233,0.40322486,0.39569736,0.38240182,0.36824784,0.35871527,0.3545642,0.35184038,0.34665236,0.34078398,0.3378807,0.3386229,0.33671764,0.32752702,0.31224015,0.30015635,0.2993971,0.31312934,0.335983,0.35862172,0.37133136,0.3707912,0.3609455,0.35018846,0.34344134,0.34143642,0.3459867,0.36808613,0.41941753,0.4972159,0.5720825,0.6072867,0.58403414,0.51917696,0.4467971,0.39485547,0.36893955,0.36013258,0.35675287,0.35393015,0.3528311,0.35752496,0.36970338,0.39002573,0.4196913,0.4628435,0.5190392,0.578203,0.6197893,0.6265013,0.5953975,0.54210204,0.48962164,0.45529488,0.44334325,0.44688532,0.45579103,0.46110988,0.45874956,0.44752774,0.43037197,0.41110435,0.39499167,0.38484916,0.38155484,0.38259235,0.38542286,0.38850376,0.39237258,0.3973774,0.40232158,0.4048952,0.40340495,0.39830408,0.39067718,0.38113818,0.368987,0.3543141,0.340994,0.33867034,0.36213374,0.41930214,0.5011222,0.5753638,0.6083959,0.5843428,0.5192514,0.4420589,0.3778826,0.3344427,0.30998147,0.2997072,0.30182418,0.31442055,0.33387944,0.3536428,0.3705928,0.38917932,0.4221724,0.47750035,0.54745287,0.6060222,0.6271386,0.60240036,0.5471154,0.48579141,0.43494603,0.39755175,0.3695725,0.349853,0.34078094,0.34412837,0.35662535,0.37251186,0.3901424,0.41552588,0.45798674,0.51833767,0.5812393,0.6205568,0.61707973,0.57257575,0.50793004,0.44679007,0.4015127,0.37051955,0.34603512,0.32144856,0.2936035,0.262176,0.22817786,0.19501428,0.16685998,0.14740439,0.13648494,0.13087098,0.12688005,0.12509894,0.13252911,0.15803777,0.20504637,0.26407245,0.31738162,0.34717333,0.34759322,0.32536125,0.29483497,0.266509,0.2415492,0.21683854,0.19491285,0.18848622,0.2084219,0.25128803,0.29628053,0.3218974,0.32012877,0.3009336,0.27961782,0.26663196,0.26240975,0.26217267,0.26105383,0.2575152,0.2526118,0.24506755,0.23130657,0.20871758,0.18485118,0.17395528,0.18820684,0.22477698,0.27061942,0.3140554,0.35733196,0.4104292,0.47754636,0.5443244,0.5853152,0.58075243,0.53331614,0.46477184,0.40104103,0.35621762,0.33055577,0.31857046,0.31741476,0.328063,0.350181,0.37828526,0.40329453,0.4181129,0.42097178,0.4140109,0.39978853,0.38068578,0.36115465,0.3482549,0.349099,0.36446652,0.38771567,0.40685728,0.41411367,0.40989375,0.40208018,0.3975738,0.39636144,0.39215222,0.37838957,0.3552464,0.33072963,0.31511876,0.31328928,0.32070404,0.33134654,0.34586695,0.37676546,0.4337264,0.5117116,0.5820789,0.6134278,0.5891711,0.52391464,0.44737747,0.38817927,0.35593438,0.3457537,0.34626535,0.35038066,0.35512355,0.35955548,0.36169553,0.363667,0.37414488,0.4068062,0.4665024,0.54008096,0.5979392,0.61404413,0.5828252,0.523391,0.46256602,0.41902396,0.3953638,0.38629863,0.38638198,0.3931652,0.40390265,0.41273245,0.41383874,0.40368357,0.38377783,0.35776117,0.3313209,0.30987024,0.2976923,0.29550385,0.30079982,0.30948028,0.31810573,0.32448384,0.32784545,0.32835892,0.32674053,0.32317236,0.31724063,0.30897284,0.30216002,0.3062428,0.3356243,0.3983605,0.4861509,0.5692174,0.614906,0.60699326,0.55856735,0.4974314,0.44776472,0.4171108,0.4009788,0.39180294,0.38480964,0.3781979,0.3711346,0.36440408,0.36032858,0.36276326,0.37287113,0.38796481,0.4011116,0.40694973,0.40394485,0.39631072,0.38762927,0.37829563,0.3628081,0.33735824,0.3033528,0.2696701,0.24458553,0.23049708,0.2225039,0.21562041,0.21162617,0.21913575,0.24452047,0.28187236,0.31397834,0.32689428,0.3249184,0.33140898,0.36931852,0.44221893,0.5266962,0.5902371,0.6096749,0.58665067,0.53969556,0.4921792,0.45642865,0.43239126,0.41346455,0.39565095,0.37914118,0.3639475,0.34733924,0.32897866,0.3174888,0.33176902,0.38585758,0.475607,0.5695973,0.6298697,0.6317801,0.5838749,0.5142192,0.45404148,0.41767648,0.40496376,0.40743613,0.4182154,0.43155482,0.44313955,0.44896078,0.45029056,0.45117316,0.455712,0.46089754,0.45975038,0.44596228,0.4209892,0.3930019,0.37253106,0.3657345,0.37188587,0.38507393,0.39881578,0.40989593,0.41824436,0.4258887,0.43417212,0.44505385,0.46008006,0.48256972,0.5138926,0.5526807,0.58987266,0.61241823,0.6072777,0.5709657,0.5113998,0.44579598,0.39152947,0.3590057,0.34848782,0.35351562,0.36568204,0.37838814,0.38674697,0.38853133,0.38399974,0.37674412,0.37012565,0.36527696,0.35985163,0.35275316,0.34660342,0.34856322,0.3623469,0.38489187,0.4044242,0.41141424,0.40251455,0.38419303,0.36403945,0.34792534,0.3365775,0.32929614,0.32553777,0.32721576,0.33549312,0.34727737,0.35324135,0.34753498,0.33810163,0.349527,0.401592,0.48895654,0.5739363,0.6157843,0.59694606,0.53639036,0.46734938,0.41621724,0.3899393,0.38353953,0.38899723,0.39916623,0.40602955,0.40109316,0.38049245,0.352438,0.336877,0.3552266,0.41345027,0.49174276,0.5544086,0.5720462,0.5432586,0.49012208,0.43974736,0.4041203,0.3815738,0.3671254,0.36221835,0.37026092,0.39116684,0.4171925,0.43989053,0.4533743,0.45842326,0.45779264,0.45485246,0.44993928,0.44219697,0.43050733,0.41650176,0.4032997,0.39427134,0.3896526,0.3878386,0.3862121,0.38443157,0.3835415,0.38535514,0.39000937,0.3976562,0.41017148,0.43428084,0.47516862,0.5306303,0.58241934,0.6073165,0.58879524,0.5334704,0.46358895,0.40491566,0.36980876,0.35681078,0.3567723,0.3616983,0.3674681,0.3725575,0.37627885,0.3774668,0.37504888,0.3676783,0.35589013,0.34131005,0.32801166,0.3194717,0.3191378,0.3267204,0.33764717,0.34231964,0.33230457,0.30699214,0.2751453,0.24855782,0.23275341,0.22500299,0.21996236,0.21840346,0.22903387,0.26077488,0.31249642,0.36973438,0.41500974,0.44156167,0.46097282,0.49265668,0.5467701,0.6093827,0.65164804,0.6492186,0.6041911,0.54012007,0.48596522,0.4553658,0.44612822,0.44787204,0.4527861,0.45728,0.45879385,0.45268238,0.43499517,0.4101859,0.39619768,0.41396487,0.46929792,0.5386272,0.58500415,0.58313656,0.54058796,0.4851807,0.4441242,0.4260668,0.42529202,0.4319143,0.44010472,0.44666514,0.4488287,0.44336653,0.4315761,0.41838387,0.4112264,0.41257453,0.42102766,0.43104377,0.43886065,0.4419404,0.44043258,0.43386504,0.42148936,0.40275934,0.3804923,0.36230245,0.35690606,0.36911675,0.39452055,0.42371917,0.44832492,0.4691563,0.49356532,0.52791256,0.56733733,0.5967366,0.6016293,0.5810717,0.54873556,0.5216732,0.5084726,0.5070166,0.5113311,0.5169038,0.5220955,0.5257833,0.5275751,0.5271971,0.5251252,0.5214042,0.5162358,0.50913316,0.49962136,0.4885598,0.47959325,0.4777701,0.48247102,0.48610452,0.47712258,0.45363364,0.4252999,0.40977964,0.41750225,0.44583294,0.47953275,0.50134844,0.5021535,0.4853967,0.46289793,0.44489625,0.4343349,0.42973843,0.43353534,0.45580563,0.50444335,0.5730579,0.6349357,0.65975636,0.63276976,0.5677376,0.49422863,0.4379573,0.40643728,0.39268008,0.38748693,0.38697997,0.39001703,0.39194855,0.3846778,0.36676157,0.3511963,0.3618581,0.41328302,0.49432445,0.5687575,0.6012876,0.5812152,0.52917594,0.47531462,0.43790606,0.4149033,0.39696583,0.38186383,0.37447807,0.3782034,0.38531294,0.3864543,0.3773314,0.36305285,0.34777018,0.33180225,0.31357047,0.29507613,0.28168187,0.2769408,0.2795012,0.28348503,0.2837325,0.27996686,0.27750018,0.28357282,0.30180833,0.32964632,0.35900542,0.38316774,0.40234342,0.42689788,0.4670515,0.5223898,0.5730462,0.5936268,0.5694322,0.511242,0.4445413,0.3938144,0.3677081,0.36161116,0.36551058,0.37245265,0.3797002,0.38703594,0.39375976,0.39827502,0.39831975,0.3923789,0.38066888,0.3656133,0.3517038,0.3442354,0.3480176,0.3630565,0.38048944,0.38384637,0.35938406,0.30856708,0.24791574,0.19748026,0.16627468,0.1510622,0.14333765,0.13969557,0.14374934,0.16298853,0.19783102,0.23778145,0.2650401,0.27369818,0.2802271,0.31617036,0.40065965,0.5171029,0.6210983,0.6679454,0.6467912,0.58024204,0.50819045,0.45698544,0.4329727,0.4253826,0.42400768,0.42301318,0.4221345,0.4189006,0.4127488,0.4080104,0.41956508,0.461507,0.5354219,0.6176439,0.672462,0.6725758,0.62240344,0.5504616,0.4890655,0.45126733,0.43367186,0.42781174,0.43160188,0.44264874,0.45463458,0.45564303,0.44166648,0.4180566,0.3985951,0.39183196,0.39884365,0.41324833,0.4281962,0.43853354,0.44162318,0.43691376,0.42669654,0.41519144,0.40732017,0.4048883,0.40847167,0.4167248,0.4298086,0.44588712,0.4636304,0.4819515,0.50347614,0.53045434,0.5607114,0.58523434,0.59395814,0.5841172,0.5626864,0.5417907,0.52932054,0.52636784,0.52818626,0.5302817,0.52995116,0.52738863,0.52364725,0.52013665,0.51779026,0.51706725,0.5182343,0.52071023,0.5232918,0.5241978,0.5230121,0.5204361,0.51605517,0.50721115,0.49039784,0.46712694,0.44327056,0.42688167,0.42039856,0.4201368,0.41713262,0.40567195,0.38902035,0.37982354,0.38939855,0.4168534,0.4487369,0.47168836,0.4840696,0.49873638,0.5286078,0.5760593,0.62225753,0.64193463,0.6139687,0.54021907,0.43876112,0.33729854,0.2561753,0.2063781,0.18949044,0.20425129,0.2427975,0.29063538,0.32734138,0.3441688,0.35105264,0.37372872,0.42836365,0.5053544,0.57201225,0.5970524,0.57363886,0.5206503,0.46674898,0.43021667,0.41527224,0.4165825,0.42883453,0.44500104,0.45771673,0.45813692,0.4452202,0.424798,0.4070836,0.39617804,0.38943216,0.38100147,0.36871627,0.3556181,0.34746253,0.3485012,0.3586869,0.37320408,0.3852831,0.38932428,0.38399875,0.3713919,0.35613367,0.34231034,0.33467492,0.3382983,0.3620087,0.41140667,0.4838623,0.5577996,0.6038832,0.59786266,0.5417606,0.4587377,0.38028416,0.32540187,0.2973338,0.28973433,0.2951602,0.30804887,0.32219696,0.33230093,0.3351401,0.3319439,0.32558578,0.31833303,0.311043,0.3045645,0.3028125,0.31084263,0.33122823,0.35583782,0.36829755,0.35239246,0.30714372,0.24718387,0.1934766,0.15785706,0.13978575,0.13180889,0.12980163,0.13612448,0.1569695,0.19161685,0.2294578,0.25321427,0.25865534,0.26232183,0.29565486,0.37613758,0.48806557,0.58803326,0.6339829,0.61495656,0.5522853,0.48213363,0.42843768,0.3973299,0.3820214,0.37650493,0.37712038,0.37872198,0.3716804,0.3486702,0.31735653,0.3028897,0.3314236,0.40716472,0.5002695,0.5676766,0.5797623,0.54208785,0.48260155,0.43189856,0.4034566,0.39572275,0.4006735,0.4133735,0.42926204,0.44172648,0.44071415,0.42330828,0.39576256,0.37141946,0.3579034,0.35398623,0.3523591,0.3477591,0.34015048,0.3325468,0.32668296,0.32149836,0.31465173,0.3072876,0.30325904,0.30750403,0.31907746,0.3324534,0.33908257,0.3341057,0.31599626,0.2859946,0.24613313,0.20044832,0.1558163,0.11936893,0.09538495,0.08284974,0.07795619,0.076799825,0.077773355,0.080669194,0.085236706,0.08977363,0.091705315,0.089861356,0.08679977,0.08929635,0.10325872,0.12809916,0.15350662,0.16738337,0.1661274,0.16076499,0.16855979,0.19847576,0.24197547,0.27837273,0.29011044,0.27443644,0.24338615,0.2134885,0.19575603,0.18999188,0.18783796,0.17877562,0.16080517,0.14140959,0.13232106,0.1376698,0.1530918,0.1725235,0.19364476,0.21609364,0.23400724,0.23967068,0.22825712,0.20491822,0.17881425,0.15853153,0.1461876,0.13929898,0.13298611,0.12527432,0.11933439,0.12192953,0.13685371,0.16024883,0.18255611,0.19517314,0.19565205,0.18660091,0.17258702,0.1578777,0.14756268,0.14619811,0.15552463,0.17085202,0.18372248,0.18565468,0.17308156,0.14705044,0.11255723,0.07639448,0.045305878,0.023456715,0.011060339,0.005494818,0.0034783704,0.0028343622,0.0026598426,0.002937433,0.0041713454,0.007298179,0.013382282,0.023011783,0.03553586,0.048930153,0.06045045,0.06778252,0.070116185,0.06877319,0.06780002,0.07326984,0.09121427,0.12412521,0.16855568,0.21604228,0.25652573,0.28339708,0.29500273,0.29384553,0.28269088,0.26304573,0.23547798,0.2014194,0.16413742,0.12781836,0.0965215,0.07239082,0.055732977,0.046004083,0.043858767,0.05117814,0.067685455,0.08837125,0.10523682,0.11508525,0.12398744,0.14251791,0.1757456,0.21664314,0.25239137,0.2720116,0.27388787,0.26234558,0.24555957,0.22997506,0.22030215,0.21747804,0.22166903,0.23206665,0.24856128,0.2680855,0.2856382,0.29527697,0.29530835,0.288254,0.2783623,0.2679052,0.2570102,0.24701834,0.24176,0.24597858,0.2597412,0.27716398,0.28907287,0.2904441,0.28280425,0.2728952,0.26715386,0.26963893,0.2805369,0.29609653,0.30868402,0.31061783,0.29930663,0.27971125,0.26006562,0.2454397,0.2337716,0.21867476,0.19478141,0.1627285,0.13005163,0.10821598,0.10637465,0.1255082,0.15701073,0.18768553,0.20719928,0.21257697,0.20700864,0.19547953,0.18132456,0.1653546,0.14713748,0.12655504,0.10460689,0.08332115,0.06494453,0.051824838,0.04662433,0.05255394,0.0711522,0.09887105,0.12606512,0.14175926,0.14226775,0.13518189,0.1355766,0.15486656,0.19330458,0.23922141,0.2774432,0.29762495,0.29896352,0.2883211,0.27555212,0.26872203,0.27028584,0.27689862,0.28187975,0.28059062,0.27279988,0.26195124,0.25109956,0.2409624,0.23045957,0.21909261,0.20765112,0.19752483,0.19047695,0.18900006,0.19546117,0.20877582,0.22295803,0.22989553,0.22499935,0.20952772,0.18847616,0.16647206,0.14600986,0.12822793,0.114748985,0.10790789,0.1086409,0.11421139,0.11896532,0.11906511,0.11562404,0.11269072,0.111348,0.10819641,0.100422,0.091887884,0.09287857,0.1125109,0.15129709,0.19915392,0.24072234,0.26332358,0.26263538,0.24297309,0.2134995,0.18354237,0.16023612,0.14751957,0.14773518,0.16099346,0.184922,0.21178918,0.23140655,0.23572837,0.22543961,0.2087114,0.19597352,0.19279177,0.19889532,0.21055605,0.22437601,0.23717038,0.24544978,0.24576496,0.23811041,0.22681953,0.21803749,0.21454363,0.21379898,0.20987743,0.19858974,0.18079036,0.16384435,0.15694582,0.16640055,0.18989076,0.21969813,0.2471199,0.26848012,0.28313074,0.2902387,0.28671753,0.27044544,0.24432595,0.21638177,0.1953522,0.18504487,0.18250759,0.18137276,0.17677557,0.1687247,0.16012965,0.15431383,0.1517664,0.15115638,0.14931694,0.1435188,0.13151023,0.11387754,0.09413167,0.08028693,0.08203048,0.10785625,0.15689708,0.21714981,0.26728007,0.29087418,0.28485975,0.26162875,0.23577772,0.21466297,0.1959299,0.17621239,0.15714097,0.1458029,0.14798166,0.1632265,0.1838528,0.20186682,0.21516895,0.22871657,0.24721827,0.26853672,0.28534874,0.29252887,0.2927237,0.29203045,0.29317507,0.29077753,0.27655974,0.2466775,0.20840864,0.17608108,0.16189383,0.16599393,0.17772739,0.18551552,0.18641232,0.18551439,0.18665887,0.18722296,0.18296398,0.17732878,0.18197334,0.20489275,0.23970835,0.26690075,0.27028382,0.24928276,0.2200255,0.20131737,0.20289274,0.22013272,0.2404269,0.25218394,0.25203237,0.24412696,0.23421793,0.22425276,0.21249962,0.19723062,0.17960383,0.16279188,0.15007962,0.14293511,0.14109151,0.14271383,0.14552371,0.14705558,0.14500856,0.1370454,0.121784784,0.100088656,0.07630127,0.0570818,0.048584327,0.053183496,0.068641506,0.089676745,0.110547096,0.12673508,0.13536297,0.13566583,0.13015476,0.12545641,0.13092461,0.15275641,0.18939787,0.23028533,0.26394895,0.2831212,0.28743485,0.2768069,0.25115064,0.21175243,0.16808419,0.13488322,0.12558971,0.14162116,0.17285474,0.20413281,0.22721656,0.24207234,0.2521883,0.25566772,0.24608101,0.219877,0.18445416,0.15692051,0.15233721,0.17316319,0.20700546,0.23794419,0.25676367,0.26492885,0.26747537,0.266736,0.26022798,0.24449855,0.21922068,0.1887269,0.16020457,0.13940988,0.12853046,0.12679178,0.13467222,0.1531626,0.18149543,0.21243262,0.23693568,0.24865413,0.24900931,0.2430378,0.23638292,0.23215808,0.23181784,0.23450376,0.23703009,0.23365577,0.21836819,0.18821962,0.147863,0.11060365,0.09342491,0.10644138,0.14392053,0.18548314,0.2074883,0.19867712,0.16646333,0.1322782,0.11588665,0.12406957,0.14693092,0.16846196,0.17789674,0.1772561,0.1766864,0.18592449,0.20593072,0.22885554,0.2431969,0.24366021,0.2339281,0.22464858,0.22281648,0.22865649,0.23558009,0.238201,0.23460071,0.22775228,0.22514392,0.24066627,0.29249027,0.38912448,0.5139129,0.6214638,0.66241384,0.61476827,0.49923837,0.3617687,0.24323583,0.16057357,0.10893837,0.076058924,0.052584868,0.034947705,0.022484198,0.017020507,0.025589159,0.06467803,0.15244229,0.29237172,0.45401254,0.5844427,0.6383112,0.6159491,0.5547028,0.49909678,0.46048045,0.42501947,0.37395033,0.30924672,0.24470873,0.19347847,0.15749654,0.13568926,0.13400126,0.1699302,0.2581775,0.39248744,0.53364235,0.63014394,0.6477658,0.5942118,0.5060867,0.42159328,0.35651878,0.30948392,0.2808818,0.286653,0.34437314,0.45024872,0.56568736,0.64105344,0.6470074,0.5944616,0.51726896,0.44540665,0.3877752,0.33841065,0.29260853,0.25441822,0.23129229,0.22184323,0.21471381,0.19909197,0.17846525,0.17045999,0.19323246,0.24919195,0.32213598,0.38877943,0.43517455,0.46169344,0.47532353,0.47721756,0.46162775,0.42491317,0.3755072,0.33152294,0.30881208,0.31005952,0.32548586,0.3425441,0.35592687,0.36861277,0.38617277,0.40968654,0.43599477,0.46299863,0.495598,0.5414109,0.6006575,0.65780824,0.68869835,0.67710084,0.62692523,0.55995387,0.50023526,0.46288276,0.44718552,0.44395825,0.44053015,0.43142605,0.41648176,0.39942172,0.38265678,0.37130103,0.3796002,0.42291412,0.5039306,0.5926969,0.644826,0.62614894,0.5450373,0.43974182,0.3546568,0.3100855,0.30249453,0.31735262,0.3447202,0.3787072,0.41029248,0.424358,0.41027322,0.37164328,0.3266466,0.2949542,0.28611186,0.2961005,0.3133762,0.3276551,0.33355737,0.32978356,0.31413794,0.2853037,0.24666087,0.21210264,0.1999908,0.2221015,0.27251303,0.3320322,0.38375035,0.4281373,0.48039404,0.551995,0.6314098,0.68570185,0.68151647,0.61132246,0.49856356,0.38236555,0.29224297,0.23747015,0.21182369,0.20679407,0.21712683,0.2383017,0.26273143,0.2817251,0.291304,0.29419577,0.29568925,0.2976044,0.29701152,0.2923123,0.28914797,0.30059573,0.33459318,0.38477138,0.42895296,0.4475182,0.4352015,0.40524825,0.37386528,0.35103098,0.33656344,0.32784578,0.3243246,0.32816705,0.34023824,0.35704234,0.37245715,0.38423908,0.3992215,0.43269756,0.4938878,0.57439536,0.6425619,0.6658774,0.63110584,0.55812067,0.4804385,0.42370448,0.39036116,0.36808679,0.34359744,0.31266317,0.2790129,0.24856068,0.2261988,0.21830218,0.23751716,0.29776636,0.40108228,0.5231177,0.6212771,0.6572235,0.6230603,0.5410374,0.44658956,0.36403063,0.30149898,0.25842783,0.23974502,0.25254944,0.29459575,0.34284317,0.36794722,0.3561567,0.32247445,0.29370856,0.2831761,0.28031418,0.26608467,0.2362616,0.20674883,0.19628286,0.20615108,0.21857433,0.21777473,0.20623966,0.20397168,0.22677927,0.2736613,0.32694915,0.37086165,0.40321055,0.4397408,0.4968935,0.5754816,0.64919114,0.6827951,0.6559263,0.5810612,0.49076533,0.4149513,0.36477125,0.3364991,0.3248137,0.32887188,0.34919086,0.3786231,0.40155104,0.4017355,0.37501505,0.33510712,0.30270615,0.28980604,0.28893152,0.2874336,0.2828277,0.2893161,0.31730333,0.35739353,0.38303706,0.37607694,0.34552062,0.32050803,0.32586792,0.36195436,0.40782198,0.4375062,0.4366866,0.4068235,0.3603101,0.31227112,0.27557087,0.26097825,0.2805293,0.34329057,0.44542584,0.5585282,0.64053386,0.6582698,0.61236024,0.5329045,0.4590056,0.4128531,0.39393947,0.38722625,0.37844244,0.3622756,0.3422623,0.32509378,0.31723857,0.3258113,0.36133742,0.4302968,0.52434754,0.6122804,0.65768933,0.6415685,0.5802952,0.5095331,0.4616941,0.445037,0.45061255,0.46422112,0.47882828,0.49061155,0.49408522,0.48039767,0.44595718,0.39801016,0.35224795,0.32095253,0.305979,0.30007032,0.2964923,0.29363224,0.29384682,0.29725465,0.30008388,0.29739627,0.28720748,0.27158487,0.25317296,0.23324527,0.21107066,0.1894299,0.17808706,0.19672936,0.2637215,0.38151905,0.52021533,0.6288829,0.66005546,0.602959,0.48503307,0.35512784,0.2511597,0.18770991,0.15784164,0.14946127,0.15420878,0.16911273,0.19083689,0.21641679,0.24765821,0.29747018,0.37845072,0.48842144,0.59502953,0.6545765,0.6360564,0.54850173,0.42900407,0.3213531,0.24837051,0.2105846,0.19551261,0.19215912,0.19570446,0.20454778,0.21723057,0.23350535,0.25966573,0.30984402,0.39412925,0.5041218,0.60368997,0.64993984,0.617588,0.52025276,0.39475694,0.2799413,0.19410086,0.13811414,0.103767455,0.085500844,0.08092585,0.08847747,0.10340944,0.119071305,0.1297183,0.13351661,0.13216724,0.12992704,0.13301194,0.1494636,0.18713343,0.24732637,0.3207784,0.3878177,0.43027866,0.44035134,0.42520666,0.39596203,0.35919037,0.31417957,0.26329055,0.21934563,0.20103271,0.21831529,0.26157597,0.30755174,0.334713,0.33711457,0.32454038,0.3142359,0.31794807,0.33566403,0.35571083,0.36573017,0.36010823,0.3424162,0.31618646,0.28236288,0.24181078,0.20451355,0.18649662,0.19883479,0.23663694,0.2816427,0.3178781,0.34350196,0.3732063,0.4227109,0.4947698,0.57067174,0.622261,0.62896293,0.59144765,0.52774,0.46114478,0.4085875,0.37798357,0.3702049,0.3820778,0.40703583,0.43653575,0.462315,0.47970864,0.48779726,0.48780492,0.48038575,0.46590266,0.4462198,0.42653987,0.4152896,0.41853347,0.43549,0.45533025,0.46578026,0.46037245,0.44390643,0.42483732,0.40785345,0.38946223,0.3635969,0.33002695,0.2985972,0.28370038,0.29158363,0.31397584,0.33495787,0.34888306,0.36820677,0.41414654,0.49291572,0.58362514,0.6471551,0.6544349,0.6068284,0.53422827,0.47078478,0.43330207,0.41783085,0.4130808,0.412704,0.4154397,0.41901508,0.4174957,0.40850183,0.40030006,0.41159216,0.45698786,0.53187984,0.6076854,0.64939195,0.63833904,0.584686,0.5166984,0.46077538,0.42860675,0.41785935,0.42213845,0.43585098,0.4549228,0.47198996,0.47845218,0.4680028,0.44200048,0.40691963,0.37114665,0.34077784,0.31980637,0.30939063,0.30871597,0.31548595,0.3268304,0.33873415,0.3460251,0.3446559,0.3345283,0.31968066,0.3047484,0.2924317,0.2852911,0.28991392,0.31863818,0.3807033,0.4725709,0.5697079,0.64025545,0.6607009,0.6339465,0.5810909,0.5289244,0.4919369,0.47166988,0.46005353,0.44792652,0.4291105,0.40321326,0.3752475,0.35292244,0.34286237,0.34747013,0.36409417,0.38548505,0.4032831,0.41228008,0.41458157,0.41737965,0.4249842,0.432153,0.4255068,0.39652705,0.3491079,0.29841316,0.25693664,0.22811514,0.2084723,0.19819283,0.20411098,0.23334514,0.28117523,0.3291571,0.35603857,0.35704085,0.3506633,0.36882338,0.43237916,0.5329313,0.63345915,0.69051105,0.6831245,0.62363154,0.54639834,0.48114666,0.43917823,0.4140619,0.39623162,0.3815489,0.3704507,0.36169037,0.35017785,0.33684066,0.3353369,0.3676202,0.44397184,0.54628605,0.6345002,0.6695392,0.64168257,0.5710253,0.4930277,0.43254504,0.398569,0.38784507,0.39660028,0.41987684,0.44974026,0.47320104,0.4807552,0.4718438,0.45561776,0.44133177,0.432052,0.42325628,0.41012228,0.39247516,0.37687504,0.37041068,0.37612566,0.3900509,0.4057474,0.41830647,0.4268038,0.43273664,0.4374461,0.4409256,0.44300696,0.44686902,0.4608675,0.49326333,0.5423619,0.59039116,0.6118441,0.59049493,0.5315625,0.4576795,0.39376882,0.35377148,0.33795133,0.33849835,0.34701276,0.35727647,0.365447,0.36859727,0.36633086,0.36072004,0.35542083,0.35191002,0.34891963,0.34490708,0.34244546,0.34919682,0.3712413,0.40529406,0.43561685,0.4449613,0.4267527,0.39037266,0.35188898,0.3225892,0.30423376,0.29310206,0.28763244,0.2911259,0.3079168,0.33348203,0.35232082,0.3488429,0.32743463,0.31804827,0.35566935,0.44911656,0.5653276,0.6517293,0.6702848,0.62264156,0.5391893,0.45543936,0.39115274,0.35022092,0.3294811,0.326125,0.33561453,0.34854198,0.3520155,0.34141937,0.32895064,0.34118167,0.39818367,0.49315658,0.5885804,0.6409001,0.62956244,0.56999,0.4952713,0.4331685,0.39339843,0.3757325,0.37850162,0.40060318,0.43569097,0.47013044,0.4895335,0.48808995,0.47218338,0.45371124,0.44067624,0.43342653,0.42794287,0.42175612,0.41566825,0.4123099,0.41257915,0.4147673,0.41577974,0.4138845,0.4098986,0.40592322,0.40342999,0.40162075,0.40000364,0.4011636,0.41454485,0.45040855,0.5112591,0.5808324,0.6308045,0.6355052,0.5916784,0.51828104,0.44441465,0.38988578,0.35900688,0.3445177,0.3379471,0.33423877,0.33164367,0.32812312,0.32216036,0.3129861,0.30277446,0.29274288,0.28352407,0.274047,0.2674753,0.27070367,0.29260364,0.33227292,0.3758386,0.39993787,0.39028892,0.35010013,0.29821384,0.25201538,0.21923965,0.19945325,0.19407178,0.20931242,0.24975045,0.30936727,0.3702785,0.41353777,0.43274227,0.44066945,0.4613301,0.5122428,0.58761567,0.6571744,0.684746,0.6548855,0.58362466,0.50581175,0.4489765,0.42119166,0.41440022,0.41912067,0.42848098,0.4370656,0.4358954,0.41750574,0.3854117,0.36041972,0.37039968,0.42840195,0.51493615,0.5881593,0.61196923,0.58416057,0.5318635,0.48898003,0.4706432,0.47229108,0.48107412,0.48936453,0.4948419,0.4963212,0.489903,0.4742488,0.45375133,0.4390789,0.43832424,0.45255002,0.47409856,0.4939519,0.50512844,0.5061045,0.49678484,0.47833776,0.45113245,0.4195598,0.39188027,0.37933406,0.38694945,0.41034126,0.43770579,0.4608864,0.48092207,0.50625235,0.5422228,0.58378226,0.6165268,0.62688583,0.61221886,0.5815778,0.5485397,0.52206916,0.5050712,0.49609268,0.49304202,0.49307182,0.49373445,0.49327442,0.49212083,0.49186668,0.4939017,0.4978492,0.50175923,0.50375056,0.50352764,0.5035345,0.50747603,0.51755905,0.5309374,0.54035217,0.5390814,0.52678156,0.50971633,0.49547735,0.48743585,0.4842237,0.4827753,0.48155344,0.48125184,0.4836125,0.48924053,0.49643898,0.5035994,0.5127693,0.5314819,0.56568074,0.61265844,0.6563503,0.6774319,0.6637929,0.62001204,0.5619268,0.5081697,0.47014,0.4507822,0.44654045,0.4528331,0.46433163,0.47559524,0.4793631,0.4738433,0.4664527,0.47546998,0.5139797,0.5788121,0.6440384,0.681643,0.6766639,0.63992256,0.5907574,0.5448223,0.50312686,0.46399376,0.43078938,0.4139838,0.41893402,0.43820307,0.4553816,0.45858443,0.4485053,0.4340817,0.42259428,0.41440105,0.4063485,0.3958845,0.3830646,0.36818743,0.35203624,0.3360013,0.32387587,0.31985354,0.32774624,0.3478855,0.37728345,0.40872654,0.43610868,0.45845369,0.4834861,0.5205594,0.57154846,0.62394315,0.65707445,0.6544552,0.6143941,0.5498784,0.48070502,0.423884,0.3878703,0.37216082,0.3714336,0.3797332,0.39262486,0.4055418,0.4140717,0.41436544,0.40573958,0.38971052,0.37006316,0.35091355,0.33822846,0.33854,0.357856,0.3928117,0.4283769,0.44102952,0.41719106,0.36164904,0.29560354,0.23877634,0.1999226,0.17682225,0.1656149,0.16583638,0.17970395,0.20496412,0.23228951,0.24845438,0.25126758,0.2568579,0.29527017,0.3840373,0.50886947,0.6239111,0.68395114,0.6745178,0.6196818,0.5585064,0.51753753,0.49987164,0.49357644,0.48712966,0.4781686,0.46987355,0.46393117,0.45479867,0.4403781,0.43025187,0.44556925,0.49844193,0.57346535,0.6332886,0.645241,0.60929245,0.55362993,0.510138,0.48922047,0.48232293,0.47840986,0.4780564,0.4860817,0.5010555,0.5099518,0.5022399,0.47931668,0.4554241,0.4435307,0.4461703,0.45643184,0.46537277,0.4682231,0.46354625,0.45281625,0.43877158,0.42585468,0.41796312,0.41773558,0.425652,0.44107005,0.46154764,0.48329294,0.50238043,0.51865315,0.5376424,0.5661688,0.60385233,0.6374133,0.64940786,0.63185924,0.5957737,0.561198,0.5432217,0.5420366,0.54951316,0.5575891,0.5642261,0.5703042,0.5765581,0.58160853,0.58314806,0.5791306,0.5694336,0.5566905,0.5457086,0.5404896,0.54228115,0.54948527,0.55940694,0.56837875,0.5721608,0.56744474,0.5546012,0.5367205,0.51594174,0.48995593,0.45503342,0.41208962,0.37151036,0.34889674,0.35566866,0.38882318,0.4318782,0.4654199,0.48306933,0.4967307,0.5249868,0.57388854,0.62599945,0.6534838,0.63770753,0.58266455,0.50647837,0.42803016,0.35837445,0.30389038,0.27107704,0.2667491,0.28985903,0.3280857,0.35996914,0.37312806,0.3732464,0.38608122,0.43350458,0.5144648,0.5967274,0.64081603,0.6277773,0.5728926,0.5083362,0.45990467,0.43407604,0.42687348,0.4332269,0.45222545,0.47963405,0.50583196,0.517428,0.5083766,0.48330948,0.45461425,0.43166205,0.41647717,0.40580663,0.39770806,0.39410675,0.39799333,0.40878573,0.4204701,0.42521086,0.41853368,0.40280548,0.38466418,0.3702593,0.36099342,0.3559908,0.35730243,0.37374094,0.41475245,0.47876358,0.5460875,0.5875247,0.5838612,0.53891593,0.47534814,0.4169186,0.3758715,0.35162926,0.33973035,0.33663157,0.34047726,0.34697583,0.3508719,0.3478916,0.33856058,0.32597497,0.3141686,0.30519578,0.3003665,0.30189654,0.31465217,0.34387794,0.3865044,0.4269282,0.4409685,0.41466877,0.35367548,0.2807578,0.21724606,0.17338254,0.14803047,0.1377613,0.1416625,0.16134965,0.19505014,0.23302813,0.25988886,0.2681738,0.2713625,0.3008989,0.38107204,0.5023966,0.61926585,0.68004006,0.66319436,0.5889154,0.49870682,0.42535457,0.37979767,0.35667035,0.34758458,0.3459437,0.34550092,0.3381245,0.31903532,0.29585424,0.29218766,0.33328333,0.42499566,0.5387294,0.6288842,0.6596771,0.6304541,0.56628865,0.49968576,0.4492391,0.42042592,0.41091046,0.41950774,0.44316128,0.47447,0.49919328,0.5061881,0.49342012,0.46987256,0.4447594,0.42214152,0.40092131,0.38098225,0.36485946,0.3543463,0.347999,0.3411664,0.33120286,0.31976536,0.312727,0.3151087,0.32680723,0.3421923,0.35297087,0.35304272,0.33884314,0.3093655,0.26496252,0.20985436,0.15263881,0.10363006,0.06960669,0.05056773,0.04208839,0.03924631,0.039784368,0.043215558,0.049140263,0.055616487,0.05993421,0.06092121,0.06199036,0.07112723,0.09526781,0.13161433,0.1651066,0.17917095,0.17222367,0.16376452,0.17882554,0.22570777,0.28557327,0.32729745,0.329644,0.2962273,0.24999326,0.21858305,0.21641421,0.23769851,0.25976834,0.26165128,0.23815322,0.20371436,0.1767027,0.16794032,0.17801015,0.2055492,0.24752517,0.2948601,0.32994318,0.3369502,0.31213894,0.26767445,0.22103548,0.18581356,0.16516133,0.15638725,0.15549211,0.162831,0.1808145,0.21058221,0.24687679,0.28070727,0.30298615,0.30983126,0.3015145,0.2815021,0.25460228,0.2275495,0.20748173,0.19887571,0.20039265,0.20541216,0.20627236,0.19833617,0.18084633,0.15492009,0.12261316,0.0874123,0.054688256,0.029443562,0.013800626,0.006131634,0.0031456018,0.002021367,0.0014246459,0.0009701955,0.00062769785,0.0003840883,0.00022344974,0.00012744957,7.507706E-05,4.803845E-05,3.3655826E-05,2.5345851E-05,2.025494E-05,1.7138826E-05,1.5120317E-05,1.34054135E-05,1.1442497E-05,9.0966305E-06,6.669141E-06,4.613133E-06,3.272553E-06,2.7030667E-06,2.844763E-06,3.6027006E-06,4.90997E-06,6.5317086E-06,8.125513E-06,9.308689E-06,9.965661E-06,1.0159396E-05,1.0099029E-05,9.793824E-06,9.139253E-06,7.993265E-06,6.555701E-06,5.3243734E-06,4.8624097E-06,5.3622266E-06,6.587275E-06,8.064879E-06,9.451064E-06,1.0686392E-05,1.1951092E-05,1.3347952E-05,1.4632347E-05,1.5284393E-05]