[0.34801948,0.32165557,0.266789,0.20384043,0.14985,0.113981366,0.098546326,0.102881886,0.123028725,0.15131609,0.17868614,0.19931732,0.21224761,0.21778065,0.21343063,0.19631316,0.16939981,0.14337467,0.12880948,0.12680131,0.12882917,0.12613036,0.118897535,0.11352071,0.11426839,0.11704179,0.115686804,0.10938617,0.10597559,0.114717185,0.13949248,0.17618287,0.21657069,0.25215042,0.2752756,0.27913803,0.25980386,0.22098114,0.1752811,0.14018618,0.12886803,0.14459217,0.17976116,0.22092839,0.2542498,0.2700934,0.2659082,0.2458983,0.22014742,0.19943883,0.1919557,0.19928616,0.21775667,0.24092805,0.26298258,0.2809724,0.2949545,0.30749097,0.32118735,0.33552787,0.34540388,0.34163725,0.31702307,0.2712949,0.21453023,0.16246416,0.12941681,0.12192001,0.13801642,0.1698276,0.20607139,0.23413664,0.24391532,0.233971,0.21412392,0.20006841,0.20205055,0.21790673,0.23470962,0.23786218,0.21892846,0.18008024,0.13179111,0.08733497,0.055563256,0.03801398,0.030564755,0.02785644,0.026427815,0.025057882,0.023752196,0.022620425,0.02169627,0.02128393,0.022125848,0.025364807,0.031177193,0.038426626,0.04484458,0.049093317,0.05112295,0.05177019,0.05178839,0.051742136,0.052033473,0.052409474,0.05229998,0.051249813,0.049459267,0.047547836,0.04658171,0.04771998,0.05157001,0.057063777,0.062140863,0.064613014,0.06444904,0.06308455,0.062891446,0.06407492,0.06526423,0.064312086,0.060938787,0.056257274,0.052367862,0.052156743,0.058797497,0.07429858,0.09658074,0.12132547,0.14392179,0.16286474,0.17695956,0.18501933,0.18467034,0.17561032,0.15926547,0.1389936,0.117488764,0.09745025,0.081851296,0.07577176,0.08316541,0.103759505,0.13023733,0.15336056,0.16716933,0.17264253,0.17412288,0.17541814,0.1777236,0.18069948,0.18427037,0.18852572,0.19337581,0.19813353,0.20230025,0.20669688,0.21229923,0.2193181,0.22537541,0.22796686,0.22599798,0.22147776,0.21739306,0.21544583,0.21484117,0.21286298,0.20744638,0.19754314,0.18364584,0.16645329,0.14841433,0.13359804,0.12657928,0.12908529,0.13918908,0.15362756,0.17053527,0.1893549,0.20818442,0.22288828,0.22961342,0.22854449,0.22449006,0.22367793,0.22983481,0.24305199,0.26135823,0.28301576,0.30787697,0.33706364,0.3717618,0.41114938,0.45277104,0.49351954,0.5320203,0.5664324,0.59156454,0.59544903,0.56418663,0.49155784,0.38815317,0.27883112,0.18876238,0.13001694,0.098520875,0.08322084,0.07494086,0.07003879,0.06782019,0.06834995,0.071305476,0.07655723,0.08475984,0.09850418,0.12147126,0.15628804,0.20153546,0.25161108,0.2987419,0.33546272,0.35709044,0.36257064,0.35579035,0.34170833,0.32351387,0.2992971,0.26641127,0.22504848,0.18081385,0.1412384,0.11184875,0.09390373,0.084998846,0.08164438,0.08090174,0.08152034,0.082744874,0.08403257,0.085131586,0.08901611,0.10354837,0.13998134,0.2049555,0.29243967,0.3826138,0.45269632,0.49052802,0.50110716,0.50042945,0.5047216,0.5216874,0.54958034,0.5803953,0.6063104,0.6225317,0.62897986,0.62734365,0.61891276,0.59980434,0.56090236,0.49370798,0.40091363,0.30079556,0.21741797,0.16643792,0.14757729,0.1510654,0.16615139,0.18504512,0.20237035,0.21591622,0.2278793,0.2426069,0.26133013,0.28134784,0.29912683,0.3146292,0.3300812,0.3483803,0.37216094,0.40333772,0.44096997,0.4798673,0.51412797,0.5413014,0.56413245,0.5866726,0.61144,0.6379277,0.6629587,0.6789523,0.67245984,0.62875086,0.54192066,0.42500338,0.305986,0.21291195,0.15775791,0.13458459,0.12924767,0.13035466,0.13275696,0.13454658,0.13413058,0.12984882,0.12179011,0.11230936,0.104641765,0.09998179,0.09671074,0.09150457,0.08306759,0.072989635,0.065785944,0.065155804,0.07296073,0.08738921,0.104976386,0.12050444,0.12975748,0.13013904,0.12388093,0.116471745,0.11467799,0.12114645,0.13399392,0.14805222,0.15926816,0.1658181,0.16854273,0.16922624,0.17000987,0.1715221,0.17193007,0.16706592,0.15322278,0.13046008,0.1030252,0.0768296,0.05556805,0.039721295,0.027880803,0.01956434,0.016456852,0.021458423,0.035309795,0.05450492,0.07353092,0.09077897,0.11084294,0.13860536,0.17054649,0.19348072,0.19422041,0.17040038,0.13287415,0.09795228,0.07731432,0.07242999,0.07627672,0.08072129,0.08461556,0.09618165,0.12715226,0.1814412,0.24863015,0.30553058,0.33030513,0.31482792,0.2726532,0.22816817,0.20353295,0.20481513,0.223431,0.24245155,0.24685527,0.23010415,0.19499533,0.15086217,0.1071608,0.07099294,0.045710657,0.031957418,0.0273181,0.027632015,0.028602919,0.028375939,0.027087586,0.026298905,0.027335087,0.032235995,0.042468887,0.05816542,0.07621129,0.09285113,0.10484555,0.111429445,0.11213279,0.10840353,0.10241881,0.0975826,0.09491775,0.0943099,0.09522923,0.098745085,0.105208255,0.11262381,0.11699611,0.11504609,0.10692272,0.09552375,0.08476547,0.077046834,0.07338137,0.073698245,0.07767717,0.084343016,0.09224578,0.09956261,0.10479047,0.10703614,0.10635024,0.10387518,0.101588495,0.10170405,0.10522339,0.11113388,0.116394036,0.11796283,0.114605434,0.10875111,0.105726056,0.111860156,0.13030273,0.1598373,0.19637693,0.23645096,0.2777561,0.31868532,0.35992277,0.4052026,0.45887074,0.51737326,0.56732327,0.5905764,0.5776169,0.5354855,0.48392084,0.4432427,0.42133048,0.41507927,0.41829047,0.430133,0.45337465,0.48683763,0.524365,0.55689424,0.5806599,0.5957164,0.60604453,0.61428994,0.62243515,0.63179475,0.6437449,0.65964246,0.6732695,0.6729397,0.64384836,0.58695394,0.5186332,0.46495175,0.43834257,0.4339482,0.43555322,0.43218017,0.42201748,0.40931976,0.39839232,0.3927913,0.39540437,0.40753105,0.42604765,0.44387817,0.45255187,0.44736508,0.42919782,0.4045677,0.38125765,0.36547184,0.35717487,0.35439715,0.35348344,0.35815477,0.3701948,0.39185703,0.41552043,0.43777838,0.45629695,0.47613767,0.4967284,0.51527935,0.5263393,0.5297937,0.5270583,0.5166699,0.49251738,0.4492487,0.39178887,0.3334621,0.28873262,0.26224357,0.24956514,0.2435898,0.2402463,0.23867017,0.23857619,0.24047546,0.24786843,0.26268622,0.2822388,0.2941245,0.28873184,0.26279825,0.22615822,0.18875448,0.15938495,0.13955975,0.12992473,0.12831104,0.13455634,0.15053572,0.1850432,0.24689698,0.33905244,0.4476447,0.55009985,0.6240781,0.6622034,0.6682262,0.650503,0.61564755,0.5698727,0.5246632,0.4905095,0.4740797,0.47063616,0.4740287,0.47833645,0.48309556,0.4865071,0.48669958,0.48173597,0.47327957,0.4658301,0.46326613,0.4656323,0.46521977,0.45277533,0.4233221,0.38748744,0.36163768,0.35872722,0.37027535,0.37845755,0.3646771,0.32860383,0.27841696,0.227576,0.18217134,0.14624919,0.12129948,0.11008953,0.112941004,0.12590446,0.14124846,0.15089798,0.15203017,0.14773273,0.14701426,0.15895712,0.18905777,0.23396699,0.284454,0.32919857,0.35901165,0.3661786,0.34503412,0.29735103,0.23556478,0.18026839,0.14861538,0.14574684,0.162189,0.18126188,0.19032629,0.18843307,0.18607676,0.19425525,0.21642447,0.24292,0.2600261,0.25790912,0.24057455,0.21975505,0.20695518,0.20386887,0.20542043,0.20498358,0.19995509,0.19159324,0.18351232,0.17827375,0.17605533,0.17502874,0.17510514,0.17818296,0.18590242,0.19589508,0.20288025,0.2029338,0.19656354,0.18859832,0.18467307,0.18810622,0.19743209,0.20742273,0.21215153,0.20942408,0.20176905,0.19546501,0.19575287,0.20414971,0.21714698,0.22998182,0.23987055,0.24661052,0.25116953,0.25482205,0.26058447,0.27139112,0.28715608,0.3028827,0.31201804,0.3109486,0.29946005,0.2793542,0.2521533,0.22154081,0.19248372,0.17039846,0.15752614,0.15353674,0.15733336,0.16763468,0.18284748,0.19959496,0.21534781,0.22972111,0.24576576,0.2677256,0.29735756,0.3327069,0.36663735,0.3919723,0.4019057,0.39664373,0.38041532,0.36374605,0.3541648,0.35673714,0.3689505,0.3886803,0.4118223,0.43702003,0.45835444,0.46883202,0.4584845,0.42428076,0.37166023,0.3155075,0.2697669,0.24168772,0.23006372,0.23118202,0.24163532,0.25837347,0.27597678,0.28739837,0.28703186,0.27485552,0.25753686,0.24486913,0.24321598,0.2508682,0.25989136,0.26272646,0.25737688,0.24772789,0.23923355,0.23639305,0.2407581,0.25345835,0.27406836,0.30138063,0.33046195,0.3548663,0.36924407,0.37174046,0.36439213,0.34957469,0.33080733,0.31062567,0.29184237,0.2758893,0.26364782,0.2578371,0.2607253,0.2740006,0.29301143,0.31233057,0.32612658,0.33399856,0.33681616,0.33768916,0.3390684,0.34346864,0.35107717,0.36069444,0.3703452,0.3786054,0.38371405,0.38429615,0.38069525,0.37613896,0.3744961,0.3766645,0.378896,0.37509212,0.36156145,0.3397073,0.31503448,0.29309532,0.2767903,0.2653279,0.255784,0.24470747,0.23146975,0.21898127,0.21213798,0.2129566,0.21903735,0.22505592,0.22674519,0.22368443,0.22012074,0.22364938,0.24023187,0.27268422,0.3187462,0.37308612,0.4211569,0.443527,0.42418197,0.36865985,0.30182445,0.25356802,0.23995887,0.26044384,0.30472302,0.35561356,0.39173332,0.3940122,0.3604572,0.30998906,0.2693694,0.25612912,0.2707728,0.30499473,0.3453621,0.37632978,0.38290977,0.3618593,0.32697195,0.29947773,0.29402694,0.31170785,0.34663978,0.38947377,0.4257908,0.43847403,0.41753146,0.3723427,0.32406488,0.29220554,0.2807789,0.28364888,0.29025722,0.29335317,0.28843406,0.27699408,0.26377293,0.25525066,0.25461927,0.2625003,0.27697217,0.2936451,0.3061827,0.3090227,0.30311623,0.29551744,0.2963505,0.31203988,0.34416196,0.38675165,0.4271935,0.44578254,0.4274352,0.36969817,0.2905256,0.214469,0.16143773,0.13419814,0.12524672,0.1233533,0.1220519,0.1191366,0.115081154,0.11071032,0.106649615,0.10420716,0.10446641,0.10773667,0.11205521,0.11583223,0.11902061,0.12367848,0.13053621,0.13775782,0.14203614,0.14105247,0.13457005,0.12331439,0.10913935,0.09522328,0.08575979,0.08355949,0.08797566,0.09550918,0.1026055,0.10721951,0.10969982,0.11001953,0.10894552,0.106167674,0.10330384,0.101531215,0.10225484,0.104732506,0.107093155,0.107774444,0.10663318,0.10521766,0.10427469,0.10323017,0.09972405,0.091822505,0.07892901,0.06476454,0.05831903,0.0738501,0.121592976,0.19976783,0.29003307,0.3687364,0.41904497,0.44012514,0.4433047,0.4445504,0.45394042,0.4708477,0.4821105,0.47199067,0.4313098,0.36792997,0.3007672,0.24988835,0.22305888,0.21485262,0.21430922,0.21396218,0.21568887,0.22480011,0.2466348,0.27822277,0.31403705,0.34592783,0.37112787,0.3878903,0.39872304,0.40690136,0.41893876,0.43822062,0.46202394,0.47994375,0.4825169,0.46927598,0.44981757,0.43613818,0.43437394,0.44422844,0.4611399,0.47961226,0.49332044,0.49853906,0.4953358,0.4876941,0.47939584,0.4728141,0.46917412,0.4705579,0.47910705,0.49566105,0.5179289,0.54122233,0.55972475,0.5690082,0.5667298,0.555363,0.5402546,0.5287148,0.5224094,0.5201494,0.5185208,0.518153,0.51737964,0.51037306,0.4882013,0.4482505,0.398434,0.35160872,0.31711504,0.29657736,0.2870612,0.28461313,0.28528202,0.2858779,0.28477374,0.28313884,0.2830902,0.28615332,0.29150948,0.2975631,0.30234206,0.30610362,0.3096864,0.3147439,0.32198334,0.3336335,0.3534461,0.3843284,0.42381033,0.46349207,0.49382076,0.5107325,0.5159657,0.51518327,0.5118044,0.50789946,0.5029863,0.4976975,0.49313465,0.49145603,0.49435106,0.50155926,0.51093334,0.5188146,0.52272916,0.52346087,0.5249681,0.5319322,0.54424256,0.5561049,0.5576508,0.5430495,0.5145117,0.48271534,0.4576979,0.44137812,0.4236815,0.3919146,0.340409,0.2783362,0.22188787,0.18533666,0.1723365,0.17899317,0.19859755,0.22582872,0.25836548,0.29449221,0.33303556,0.36911225,0.39907566,0.42148232,0.44307613,0.4716406,0.511957,0.5578901,0.5960693,0.6111388,0.5960162,0.55522233,0.50222963,0.45055982,0.40843043,0.37807253,0.358459,0.346714,0.33888912,0.33176136,0.32363272,0.31541297,0.30903614,0.307014,0.31059536,0.31988558,0.33458245,0.35257697,0.36863062,0.37392116,0.3630884,0.33884653,0.3110206,0.28900945,0.276904,0.27567056,0.28558782,0.306614,0.33524573,0.36571005,0.39347604,0.41808507,0.4397917,0.4564824,0.46365047,0.4611235,0.4546733,0.45361468,0.4628674,0.48088923,0.501033,0.51768357,0.52982396,0.5402687,0.54875493,0.54477334,0.51190954,0.44031405,0.34079954,0.23917271,0.16125481,0.116278745,0.09862428,0.09681032,0.10166804,0.106131665,0.10349482,0.09002287,0.0675567,0.04312241,0.023670735,0.013209646,0.012908985,0.022232063,0.03855316,0.05637632,0.07002612,0.07716999,0.08051526,0.08455985,0.09155268,0.10001726,0.10703266,0.1107819,0.11151219,0.110512465,0.10968971,0.11058837,0.11375451,0.11740019,0.118541725,0.115163065,0.10828813,0.10093266,0.09537992,0.09164571,0.0886961,0.087317474,0.090448886,0.10110391,0.11883537,0.13937975,0.15666819,0.16634429,0.16775374,0.1636546,0.15791033,0.1522036,0.14559108,0.1367933,0.12809189,0.12449249,0.12994058,0.14267276,0.15715955,0.16776504,0.17287578,0.17375906,0.17339785,0.1746686,0.17825867,0.18201637,0.18089633,0.172291,0.15598555,0.13534878,0.11305168,0.09294877,0.07817616,0.071646124,0.073430814,0.0814445,0.09190005,0.10111076,0.10714462,0.11118773,0.11643684,0.12523367,0.13673776,0.14767377,0.15491581,0.15691143,0.15415893,0.14831042,0.143173,0.14360498,0.15441899,0.1759113,0.20328824,0.2274869,0.24179028,0.24440409,0.24000068,0.23452824,0.23248471,0.23441713,0.23879601,0.24335156,0.24671555,0.24905185,0.25285912,0.26048335,0.27149644,0.279762,0.27752647,0.25945076,0.22645338,0.18420959,0.14081573,0.10459089,0.08131977,0.07292683,0.07644275,0.08635043,0.09682274,0.104186274,0.107457735,0.10801193,0.10825172,0.11044798,0.11595356,0.1245575,0.13499705,0.14478074,0.15247627,0.15709102,0.1594719,0.15996629,0.15967019,0.15958934,0.1616382,0.16661924,0.17366503,0.17995547,0.1835417,0.18414164,0.18357457,0.18302643,0.18308578,0.18303514,0.18263365,0.1812153,0.17934202,0.17702651,0.17428643,0.16830134,0.15631175,0.1375345,0.11652851,0.100324996,0.0937308,0.0959526,0.10191383,0.10721084,0.11031515,0.1122768,0.11371735,0.11515594,0.116886966,0.12002957,0.123832844,0.12655656,0.12556644,0.120971404,0.11435228,0.107986264,0.10274681,0.100319535,0.1055274,0.1254852,0.16469449,0.22000577,0.28184393,0.3393754,0.38465774,0.41248968,0.4200269,0.4089644,0.38909665,0.37478805,0.37914482,0.40450343,0.44415697,0.4836472,0.51047665,0.5156533,0.49956477,0.4692081,0.43815896,0.4189135,0.4184834,0.43421373,0.4562571,0.47157156,0.46810296,0.4394709,0.3895035,0.33269945,0.2862706,0.25907612,0.24776672,0.24318784,0.23926465,0.23632996,0.23787455,0.24655223,0.26215038,0.2818958,0.30132386,0.31571558,0.32161918,0.31877926,0.31089303,0.30484006,0.30765077,0.3214446,0.3421202,0.36060956,0.37110856,0.37309977,0.37188217,0.37151328,0.37347403,0.37634945,0.3797104,0.38577926,0.39930293,0.42445937,0.46007004,0.49842548,0.52849174,0.54402286,0.54661894,0.54384565,0.54302377,0.54789346,0.5603976,0.58080745,0.6097932,0.64403343,0.6782487,0.703427,0.71329683,0.7048464,0.68233967,0.6525447,0.6252679,0.6078196,0.6049486,0.6122852,0.61864346,0.61002344,0.5793347,0.52931553,0.46865848,0.40640315,0.3489106,0.30141208,0.26789954,0.24944176,0.24425209,0.24809472,0.25769684,0.2696338,0.2817104,0.29271033,0.30315888,0.31518042,0.32890716,0.3443228,0.35955167,0.37684903,0.396286,0.41664234,0.42911348,0.429845,0.42254147,0.42139325,0.43558514,0.46355352,0.4965298,0.5279425,0.5575822,0.58384013,0.6040938,0.61654323,0.6262545,0.64021,0.6607783,0.6833377,0.70059276,0.70841914,0.70699686,0.6976139,0.67906016,0.6455485,0.5907445,0.5135403,0.42290667,0.33368924,0.25869456,0.20254205,0.16333602,0.13733582,0.12253838,0.11909806,0.12809475,0.14917457,0.17912515,0.21134408,0.23806806,0.2528081,0.25320518,0.24218845,0.22544587,0.20890649,0.1953575,0.18629085,0.18044855,0.17520232,0.16574873,0.15018569,0.1307184,0.11451905,0.10803863,0.113936625,0.12815784,0.1432743,0.15260015,0.15367849,0.14777528,0.13733844,0.12567057,0.11682097,0.11464753,0.11933148,0.1261732,0.12893473,0.12485126,0.11651341,0.10847982,0.10377491,0.10460132,0.114711605,0.13863517,0.1753217,0.21592481,0.2475755,0.26294014,0.26262796,0.25336656,0.24081028,0.22809851,0.21515918,0.20343797,0.1956497,0.19452287,0.19693612,0.19615678,0.18717574,0.17384464,0.16486739,0.1664569,0.17630184,0.18758963,0.19480203,0.1975003,0.19839282,0.2016207,0.20998155,0.22376074,0.23899293,0.25094613,0.25694767,0.2582756,0.25677514,0.25392365,0.25106397,0.2510778,0.25619447,0.2667342,0.27975383,0.29109886,0.29576847,0.2917652,0.28153375,0.2725029,0.2706037,0.2765981,0.2849028,0.2899967,0.2876605,0.27814284,0.26321283,0.25017112,0.24499382,0.2508751,0.26106063,0.26888403,0.27119744,0.27698994,0.29852417,0.34693217,0.41857067,0.498104,0.56510615,0.6113827,0.64055204,0.660456,0.67376465,0.6816473,0.6878366,0.6944371,0.69889516,0.69666624,0.68823904,0.67290395,0.6419825,0.5831296,0.49664998,0.40284443,0.32765615,0.2845776,0.26726127,0.26119208,0.2552611,0.24785982,0.2434718,0.2485313,0.26764855,0.3016776,0.34749344,0.39998963,0.45406303,0.5033005,0.5374307,0.5436282,0.5150004,0.4579415,0.39289185,0.34337226,0.32433143,0.3337048,0.35729846,0.37874058,0.38993958,0.39207813,0.3908514,0.3909026,0.39324233,0.39586818,0.39563882,0.39027682,0.37941396,0.36396763,0.34673882,0.33314672,0.3318009,0.35064277,0.39094988,0.4447967,0.49927393,0.5461159,0.5841744,0.61740035,0.6475937,0.67529243,0.69864327,0.71466404,0.7161622,0.695314,0.6467531,0.57273215,0.4823275,0.39041355,0.3120239,0.25910535,0.23628278,0.24050562,0.2608886,0.28275803,0.2932175,0.28614175,0.26226762,0.22676541,0.18728405,0.15325472,0.13333386,0.13133805,0.14412893,0.16374703,0.18276393,0.19721378,0.20752142,0.21478684,0.22071911,0.22695333,0.23840845,0.259428,0.28978932,0.32081458,0.34191933,0.34929177,0.3492488,0.34989944,0.3520917,0.34992996,0.3418101,0.33659175,0.34633493,0.3733574,0.40737692,0.43603256,0.4549992,0.46832,0.48223028,0.5024259,0.53344685,0.57636696,0.6236116,0.6624143,0.68382066,0.6908162,0.69260263,0.692482,0.68182117,0.6466159,0.5816373,0.49603605,0.40848625,0.33392835,0.2780492,0.23790233,0.20912234,0.18770795,0.17281406,0.16515423,0.16592179,0.17162447,0.17477393,0.16978912,0.16005196,0.1546398,0.15888628,0.16853625,0.17605114,0.17910443,0.18195887,0.18930073,0.20356528,0.22783118,0.2694266,0.33117726,0.40534258,0.47116828,0.5143764,0.53489375,0.5468703,0.5577336,0.5635614,0.555762,0.5378111,0.52293617,0.52377254,0.5389485,0.5613048,0.5834903,0.6048105,0.6197944,0.61828977,0.58883,0.5313954,0.4591721,0.39192066,0.34481624,0.32126257,0.31438482,0.31302932,0.30889308,0.2978866,0.28108418,0.2632994,0.257025,0.27352238,0.32061255,0.38724315,0.4576701,0.5080971,0.53125554,0.52323276,0.49676934,0.4581046,0.41937828,0.38476172,0.36531174,0.36215055,0.3703498,0.3714987,0.35269976,0.3119892,0.2616711,0.21579774,0.18271418,0.16477978,0.16289872,0.18123806,0.22175992,0.2796491,0.34179688,0.39584455,0.4378744,0.4681251,0.48553762,0.4803559,0.44711867,0.3876368,0.31957528,0.2608869,0.22536737,0.21282648,0.21744816,0.23019743,0.24348962,0.25193954,0.25378898,0.25266775,0.2536367,0.26122037,0.27549478,0.2923221,0.30319935,0.29925022,0.27788508,0.24922581,0.23318504,0.24859487,0.29669318,0.36287925,0.42214802,0.460726,0.47179225,0.46207464,0.4344379,0.39763573,0.35627273,0.32128635,0.29781386,0.28882226,0.29070362,0.30104864,0.31742296,0.33534443,0.34857234,0.35321543,0.3535668,0.35679868,0.36712733,0.37966657,0.38418475,0.37204316,0.3432686,0.3093845,0.28763196,0.29155937,0.32066873,0.36002132,0.3905913,0.40145174,0.3956692,0.38182044,0.3681709,0.35675892,0.3479046,0.33921906,0.3296552,0.3187463,0.30878758,0.30102968,0.29529315,0.2886739,0.27979627,0.26819745,0.25596702,0.24427374,0.2352072,0.22939782,0.2275488,0.22795184,0.22930954,0.2300118,0.23037748,0.2313382,0.23714928,0.2543026,0.2884617,0.3375859,0.3915523,0.43674088,0.46594778,0.47961307,0.48529068,0.48725936,0.48269334,0.45961097,0.40868843,0.3341163,0.2553474,0.1941901,0.15995498,0.14720233,0.14490966,0.14673805,0.15367071,0.1706595,0.2010326,0.24306881,0.28886923,0.3288857,0.35693774,0.37495652,0.39149538,0.41412994,0.4406139,0.45542488,0.44214723,0.3972356,0.3370224,0.28463635,0.25523004,0.24789543,0.25275043,0.26080355,0.2713745,0.28904352,0.31838894,0.35649797,0.39570668,0.42679533,0.44642338,0.45619997,0.46182382,0.46844968,0.4784567,0.4903241,0.50012493,0.5061043,0.51058495,0.518225,0.5306,0.54272324,0.5472185,0.5379927,0.51624525,0.48511276,0.44980907,0.41187516,0.37460065,0.34096524,0.31550944,0.29883745,0.2882749,0.27922603,0.27025053,0.26361167,0.26283336,0.26769197,0.27366468,0.27577516,0.27499947,0.28082016,0.3049809,0.35256255,0.4148519,0.47586155,0.521362,0.54621905,0.55105406,0.5383871,0.51288956,0.48211193,0.455269,0.43831125,0.43417284,0.44318795,0.46399537,0.49041757,0.5160509,0.53482914,0.5463528,0.54535836,0.5266296,0.48315313,0.41975918,0.34731993,0.28089777,0.23032548,0.20028661,0.19151455,0.20349716,0.23773797,0.2952452,0.37292704,0.45807567,0.5333743,0.58440447,0.6078999,0.6086645,0.5949853,0.57326704,0.5489487,0.52597183,0.5073017,0.49498543,0.49151674,0.4976468,0.5092662,0.51648146,0.5092775,0.47972283,0.42564812,0.3510033,0.27555904,0.22764824,0.23080166,0.28074217,0.35088742,0.41112933,0.44965914,0.47169495,0.48557702,0.4930278,0.49166477,0.48260483,0.4721416,0.464489,0.4592245,0.45327112,0.44944647,0.45496997,0.47478652,0.50573725,0.5382825,0.56248665,0.5704891,0.55852574,0.53071344,0.49790692,0.47089538,0.44903508,0.4239267,0.39007854,0.35430852,0.32769912,0.31402123,0.30573595,0.29355922,0.2750029,0.2553247,0.24030298,0.23212968,0.22830896,0.2259109,0.22263215,0.22156309,0.22852151,0.25187635,0.2928699,0.34494135,0.3941143,0.4279875,0.44073042,0.43300137,0.41181353,0.38844684,0.3770691,0.38639984,0.41331148,0.44579923,0.47095206,0.48366395,0.48416424,0.476617,0.46524692,0.4552813,0.44959274,0.4499686,0.45722637,0.47404942,0.5018296,0.537421,0.57256943,0.59793264,0.60951924,0.60990757,0.6057224,0.6033334,0.6051353,0.61111116,0.617997,0.6222859,0.617562,0.59803677,0.5606546,0.5116587,0.4636562,0.42921105,0.4112586,0.40439904,0.40140343,0.39899758,0.39848092,0.40173995,0.41299167,0.43251362,0.4542184,0.45971859,0.43321636,0.37369695,0.3017005,0.24196522,0.20779139,0.19514783,0.19351615,0.19520986,0.19932222,0.21018928,0.23605514,0.28465906,0.35592362,0.4368744,0.5074492,0.55247515,0.5705468,0.5710649,0.56540084,0.561225,0.5611519,0.5662808,0.57493216,0.58533454,0.5939004,0.5994578,0.59967774,0.59219617,0.5721348,0.53875256,0.49695086,0.45853773,0.43422315,0.42874002,0.43793646,0.4531286,0.46597233,0.47159782,0.46898797,0.4598337,0.44897342,0.44261256,0.44684875,0.46391988,0.49313864,0.5295043,0.56479114,0.5851088,0.57805073,0.5399088,0.482771,0.42799732,0.3955035,0.39559102,0.42678568,0.47849974,0.5331852,0.57435936,0.5935244,0.5935602,0.58322334,0.5706241,0.5607994,0.5567994,0.55983967,0.5684344,0.57799155,0.5835266,0.5815647,0.57333755,0.5642807,0.56307936,0.57334775,0.590008,0.59902555,0.59041095,0.56499964,0.5354068,0.51456994,0.5082538,0.51215935,0.5160234,0.5102409,0.49248397,0.4692825,0.45167574,0.447477,0.45816,0.47881818,0.50196844,0.5198445,0.52853274,0.5285615,0.52537304,0.52434057,0.5292184,0.53951937,0.55297065,0.566236,0.5760476,0.5803123,0.5783785,0.5727754,0.56770706,0.5676047,0.5746198,0.58677834,0.59936386,0.60736656,0.6096993,0.6088632,0.6065113,0.59935635,0.58104634,0.548984,0.50725156,0.46028852,0.40779027,0.34584746,0.27726346,0.21294852,0.1664023,0.14369817,0.14313865,0.15904045,0.18487073,0.21145453,0.2270049,0.22177057,0.19448285,0.15309897,0.10936137,0.07190005,0.04383588,0.024552226,0.013181881,0.010773535,0.021256715,0.048654076,0.093114324,0.14665222,0.19651832,0.2314461,0.24943471,0.2562636,0.26106334,0.2691877,0.28275594,0.30272636,0.3322872,0.3736099,0.4236921,0.4713172,0.5026841,0.5079194,0.48857462,0.4536898,0.41758528,0.39107063,0.38246366,0.39197478,0.4142722,0.43723246,0.45104602,0.45226192,0.4478959,0.44712806,0.4567946,0.4754937,0.5013488,0.5323035,0.5694619,0.6062272,0.63096243,0.62821275,0.5951681,0.54219764,0.49178442,0.46178806,0.45918632,0.4772288,0.5041587,0.5286861,0.5429316,0.54222935,0.5265499,0.5010034,0.47311568,0.44786254,0.42699704,0.41102168,0.40209368,0.401136,0.40627673,0.41165015,0.41121128,0.40043914,0.37729025,0.34176135,0.29661033,0.2502837,0.2182399,0.21858023,0.26310036,0.34661213,0.44893637,0.54059696,0.5986832,0.61282605,0.59355146,0.5636247,0.5489953,0.562624,0.60372716,0.6598311,0.71183705,0.73690003,0.7166311,0.6510474,0.56058675,0.47491166,0.41395196,0.38056827,0.36729065,0.3645141,0.3673873,0.37362078,0.38443816,0.40111467,0.4230677,0.44598934,0.4638463,0.47485164,0.48193684,0.490458,0.5019093,0.5136102,0.5213321,0.5233796,0.52211076,0.5208032,0.52170026,0.5244489,0.5303905,0.54018825,0.5516098,0.55542916,0.54484373,0.52168226,0.49890944,0.48661634,0.48727176,0.4935484,0.50126094,0.51012677,0.5243302,0.54263747,0.5581363,0.5647783,0.56638503,0.5776263,0.60925126,0.6580816,0.7063369,0.73615605,0.7382732,0.7141172,0.67001444,0.6138132,0.5513494,0.48592576,0.41893628,0.35316575,0.29373088,0.24601747,0.21296509,0.19465774,0.18885648,0.19079746,0.1930434,0.18960868,0.18062665,0.17250222,0.17139898,0.17706873,0.1842748,0.18891118,0.19169094,0.19666924,0.20648235,0.2254126,0.25792125,0.3090301,0.36994538,0.42189336,0.4455299,0.44323435,0.43428215,0.43541458,0.44450286,0.44846335,0.44345534,0.43473184,0.4265525,0.4134448,0.3950765,0.38259506,0.39169773,0.41998672,0.445132,0.44034111,0.39899564,0.33711934,0.2808296,0.2471595,0.23947434,0.25128934,0.27321425,0.2958399,0.31098053,0.31358752,0.3032256,0.2857567,0.27352497,0.2832246,0.32719824,0.4046626,0.49567008,0.5693457,0.59721667,0.5695053,0.49954522,0.41652742,0.3522143,0.3277509,0.35129166,0.41693005,0.51019067,0.60877156,0.68797225,0.7255358,0.7122535,0.6564653,0.5809824,0.50905204,0.4539195,0.41589904,0.38840255,0.36448753,0.33979335,0.31416595,0.28925288,0.26838568,0.25286886,0.24388748,0.24179597,0.24774309,0.26058677,0.27594677,0.28799662,0.2927412,0.29104897,0.2848216,0.2750597,0.25849167,0.23296718,0.19914038,0.16413529,0.13551971,0.11941963,0.11562857,0.1209541,0.12935297,0.13654077,0.14042471,0.14261194,0.14528567,0.14948,0.15393479,0.1578406,0.16156656,0.16699372,0.17465316,0.18427382,0.19485144,0.2060308,0.21687411,0.22501679,0.22811605,0.22552246,0.220394,0.21675812,0.21754493,0.22224982,0.22901545,0.23667516,0.24449642,0.2516941,0.2560263,0.25815395,0.26065096,0.26729667,0.27715388,0.28627193,0.2911428,0.29323992,0.29882386,0.3129611,0.33556196,0.35920146,0.37693647,0.38489267,0.38246712,0.36420056,0.32380688,0.2614983,0.19225334,0.135634,0.10372913,0.093274884,0.09399562,0.09713835,0.099798925,0.10219876,0.10498175,0.10853224,0.112944655,0.11735415,0.120698355,0.121676706,0.12115281,0.12016652,0.120052226,0.12018508,0.11957744,0.11770416,0.115112714,0.112680666,0.111599155,0.11481855,0.12857611,0.15738718,0.19868658,0.23890738,0.26291588,0.26401073,0.2492369,0.23206948,0.22178657,0.21885596,0.21728943,0.2121286,0.20364565,0.1970498,0.19766034,0.20596053,0.21714626,0.22440262,0.22366829,0.21568954,0.20544739,0.19980575,0.20491852,0.22323982,0.25216547,0.28521284,0.3155707,0.33980343,0.35713136,0.368696,0.37447396,0.37575865,0.37479267,0.37543,0.37940252,0.38456798,0.3859457,0.3791416,0.36359072,0.34214893,0.318941,0.29638183,0.27636647,0.25909176,0.24902017,0.24878645,0.26587197,0.29726246,0.3367586,0.36546755,0.37586877,0.37091878,0.36744905,0.37288824,0.38167158,0.3828669,0.37497362,0.36730707,0.3687974,0.38152826,0.4018449,0.42606023,0.45290443,0.48315343,0.5176721,0.55367845,0.5829852,0.59613776,0.59000915,0.5701961,0.5436186,0.5104198,0.46518767,0.40700877,0.34465933,0.2913428,0.25439432,0.23259275,0.22025718,0.21344228,0.2107101,0.21248133,0.2182513,0.22666079,0.23415273,0.2373863,0.23426121,0.22646415,0.21818803,0.21529055,0.2239929,0.25058746,0.29770306,0.35987255,0.4226786,0.47109357,0.4985702,0.5107133,0.5183325,0.5299353,0.54462504,0.55248755,0.53757113,0.48951983,0.4113491,0.32205632,0.24463445,0.19468702,0.17293037,0.17026342,0.17451066,0.17725791,0.17571194,0.17148302,0.16782857,0.1662339,0.16718322,0.17034794,0.17587678,0.18180758,0.18541358,0.18644358,0.19229327,0.21575761,0.26626363,0.34049964,0.42268428,0.4937736,0.5428648,0.5693569,0.5803099,0.5825812,0.58195156,0.5803034,0.5783039,0.5749221,0.570386,0.5668554,0.5666886,0.570689,0.57539827,0.5777428,0.57632965,0.57404286,0.572416,0.570895,0.5668861,0.560715,0.5559417,0.5571243,0.5660112,0.5813079,0.59972245,0.6183455,0.63368845,0.64350796,0.64604956,0.64288956,0.63640875,0.6299062,0.6249592,0.62248546,0.6222667,0.6235195,0.6247173,0.62419343,0.62068814,0.6145165,0.60768086,0.60455745,0.6086392,0.62112045,0.6374414,0.6514365,0.6575654,0.6560245,0.65039665,0.64560145,0.6441656,0.6457743,0.64894146,0.65188664,0.6543098,0.65603465,0.6577168,0.6594632,0.6612428,0.66222286,0.6609137,0.65630245,0.6478595,0.6361837,0.62095827,0.60120773,0.5773851,0.5520983,0.52961636,0.50451714,0.4641873,0.39235583,0.29217902,0.18342091,0.09569452,0.04380748,0.026677558,0.031319443,0.04531078,0.059223026,0.067294516,0.06693643,0.05895713,0.046833243,0.03509848,0.028141677,0.029196465,0.038905516,0.054505438,0.0700455,0.07941118,0.07879148,0.068839334,0.053642735,0.039790954,0.034221996,0.042206958,0.06431991,0.09504869,0.12466714,0.14399278,0.14843614,0.1390206,0.121343575,0.10415403,0.09802094,0.11127525,0.14535645,0.19186898,0.23618579,0.26471576,0.27098545,0.25778487,0.23513861,0.21782868,0.2191688,0.2451828,0.29051188,0.34324145,0.39153996,0.42893448,0.4515219,0.45586917,0.43682325,0.39287207,0.32831034,0.25622234,0.19093037,0.14290895,0.1126175,0.094749786,0.08188365,0.07017931,0.059684187,0.053747848,0.055206712,0.06375938,0.07532501,0.08498651,0.08993566,0.09043036,0.08823625,0.08507482,0.08229878,0.08108315,0.08236945,0.08614106,0.09138904,0.09705322,0.10307902,0.11086697,0.121151246,0.13264759,0.14147651,0.1452583,0.14527331,0.1467929,0.1539821,0.16704156,0.18209165,0.19417213,0.20021994,0.19927199,0.19321437,0.18452638,0.17601742,0.16851433,0.16235816,0.157609,0.15559404,0.15721516,0.16223007,0.16805683,0.17165269,0.17166036,0.16997367,0.17041743,0.17559125,0.18514384,0.19632417,0.20602995,0.2123992,0.21526782,0.21598418,0.2162358,0.21654034,0.2163425,0.21496831,0.21303825,0.2115532,0.21054745,0.20846306,0.20294552,0.1929695,0.1804292,0.17049547,0.16875584,0.1774326,0.19335483,0.21064568,0.22464405,0.23441269,0.24103044,0.24524236,0.24659705,0.24484205,0.24131304,0.23819564,0.23666064,0.23632383,0.23596023,0.2346602,0.23099415,0.2233523,0.21185704,0.20103775,0.19857757,0.21008044,0.23404877,0.26199302,0.28396317,0.29343796,0.289492,0.2745228,0.25415844,0.23598404,0.22718681,0.2291022,0.23525627,0.23662055,0.2292359,0.21665019,0.2049268,0.19627799,0.18919633,0.18253414,0.17932813,0.18415236,0.19838922,0.2173111,0.23391609,0.24401289,0.2497075,0.25561786,0.26464525,0.27563253,0.28594804,0.29525807,0.30491793,0.31641188,0.3274914,0.33435026,0.33299983,0.3231376,0.30709505,0.2906832,0.2802116,0.28177717,0.29713693,0.32435498,0.3591946,0.3975601,0.43533492,0.46627593,0.48364195,0.4843609,0.47309533,0.46245816,0.46553114,0.48995697,0.53210586,0.5814099,0.6253802,0.6569992,0.6761687,0.68806225,0.69836444,0.71001333,0.72249144,0.73377794,0.7426515,0.7493668,0.7551403,0.7597514,0.7616155,0.7588151,0.7519776,0.74410564,0.7388318,0.7382736,0.7426433,0.74969655,0.7544623,0.74823713,0.72044486,0.661586,0.5701592,0.45689186,0.343601,0.2516,0.19123323,0.1586494,0.14416236,0.1394622,0.14007205,0.14293326,0.14597392,0.14853694,0.15153122,0.15500426,0.15865397,0.1612987,0.16280238,0.16164047,0.15658979,0.14751323,0.13866025,0.1359786,0.1433282,0.1583205,0.17466913,0.18662201,0.19255467,0.19402225,0.19282097,0.18989705,0.1855976,0.18105252,0.17734025,0.17491812,0.17317003,0.17174245,0.1708263,0.1708129,0.17082371,0.1697141,0.1674751,0.16707672,0.17259115,0.18677323,0.20840247,0.23383422,0.25875017,0.28059343,0.29782197,0.31052533,0.3206303,0.3319058,0.347464,0.36634958,0.38390303,0.3941728,0.3936936,0.381458,0.35884103,0.3294289,0.29972172,0.27772498,0.26951718,0.2757537,0.2911197,0.3072329,0.31861803,0.32472575,0.32930422,0.3339062,0.3374094,0.33606485,0.3298533,0.32173386,0.31748343,0.31951138,0.32690766,0.33602938,0.34641883,0.36260143,0.3916745,0.43619344,0.48882282,0.5354888,0.56404835,0.5735969,0.5740998,0.5797964,0.59935445,0.6324994,0.6714029,0.70628744,0.72926587,0.7367389,0.73020387,0.71584517,0.70240074,0.6964166,0.6993769,0.7075166,0.7159998,0.721894,0.72458714,0.72219443,0.7080721,0.670641,0.6005044,0.49903587,0.38350174,0.2780966,0.20176314,0.15806098,0.13946217,0.13493997,0.13660245,0.13985811,0.1423012,0.14287579,0.14148213,0.13779382,0.13147481,0.12251986,0.11322361,0.106782496,0.10569397,0.10862282,0.111577265,0.11040034,0.1040656,0.09430662,0.08395187,0.07537192,0.07058833,0.07088667,0.075831585,0.08225202,0.085597575,0.08213445,0.07119404,0.055046946,0.037675556,0.022690654,0.012099954,0.0062979604,0.0051568616,0.008951422,0.017903492,0.030698031,0.04444176,0.05589522,0.064366706,0.07129779,0.079191156,0.088276386,0.09686225,0.10228163,0.10310919,0.09955299,0.09289431,0.085384406,0.07898385,0.07507069,0.073097594,0.07236505,0.0728982,0.076939724,0.087677784,0.10733225,0.13456772,0.16331334,0.18546109,0.19558734,0.19497831,0.18963414,0.18547677,0.18391824,0.18364364,0.18362223,0.18525364,0.18964459,0.19555467,0.1998192,0.20078202,0.19998385,0.20100795,0.20538063,0.21135765,0.21429662,0.21088292,0.20075114,0.18720149,0.17453448,0.165679,0.1611997,0.15981336,0.16066295,0.16310452,0.16690402,0.1707456,0.17388839,0.17661911,0.18008615,0.18362989,0.18474567,0.18135388,0.17521082,0.17011221,0.1684984,0.16868098,0.16612546,0.15693974,0.13923611,0.115983,0.09252882,0.07633128,0.07115499,0.0772115,0.08940238,0.10120911,0.10603992,0.10117141,0.08808278,0.0719964,0.058197502,0.049543757,0.045589074,0.044250514,0.044067103,0.046143744,0.05449392,0.07399703,0.10597417,0.14523888,0.18166281,0.20625077,0.21694435,0.2187311,0.21983491,0.2250896,0.2345448,0.24407227,0.24990635,0.24964564,0.24263977,0.22885318,0.20964672,0.18813957,0.1682902,0.15250415,0.139937,0.12813137,0.11636887,0.108336054,0.109351195,0.12146809,0.13986544,0.15571624,0.16234076,0.15971838,0.15354411,0.149513,0.14906284,0.14957283,0.14877243,0.14778799,0.1491757,0.15378438,0.15914673,0.16283898,0.16424467,0.16494568,0.16556348,0.16545738,0.16300263,0.15899391,0.15608624,0.15807784,0.16504991,0.17411797,0.18043773,0.18293615,0.18337344,0.18522142,0.18849774,0.19083478,0.18967646,0.18667495,0.18651056,0.19223647,0.2014507,0.20822428,0.21000594,0.21092701,0.21928191,0.2394787,0.26805735,0.2949756,0.31114233,0.31364277,0.30698732,0.2992904,0.2973126,0.30322626,0.31304076,0.320707,0.32185626,0.3183395,0.31378695,0.31062877,0.3058993,0.29735515,0.2861098,0.28024304,0.28690502,0.30826935,0.33453336,0.34985077,0.33770046,0.29479328,0.23201714,0.17060323,0.12597151,0.10145918,0.0895336,0.08222753,0.07682777,0.07481692,0.077681966,0.08364663,0.089883834,0.09408203,0.09662107,0.098178886,0.099391334,0.10039168,0.10376084,0.11495624,0.13894455,0.17379762,0.20799638,0.22700103,0.22426863,0.20607512,0.18636172,0.17641772,0.18129595,0.20052165,0.23096669,0.2660898,0.2974441,0.31833777,0.32782316,0.32957986,0.3281016,0.32569376,0.32358286,0.32274628,0.32411256,0.32739592,0.3320218,0.3378735,0.34469497,0.3509166,0.3534216,0.35113224,0.3455502,0.3407543,0.3382405,0.33782732,0.33820856,0.3410118,0.34887543,0.36302844,0.37965444,0.39059523,0.3875828,0.3694737,0.3443543,0.32500562,0.31753853,0.3183607,0.31886503,0.31596625,0.31288865,0.314348,0.32084808,0.329422,0.3360395,0.33776584,0.3341678,0.32859352,0.3261759,0.3295074,0.33654237,0.34350395,0.3491509,0.35492286,0.36212012,0.3702112,0.3775886,0.3831602,0.38532838,0.38305607,0.37611446,0.36783358,0.36165583,0.3598354,0.361096,0.3651326,0.37307867,0.38627395,0.4018637,0.41376516,0.41840175,0.41827622,0.42102075,0.43172678,0.45042393,0.47117242,0.48848328,0.49844036,0.5018932,0.5002756,0.49629235,0.49000323,0.4826292,0.47542968,0.4721503,0.47397128,0.47936937,0.4843558,0.4869089,0.48732528,0.48509696,0.4762955,0.45487106,0.41901478,0.37665603,0.3442591,0.337901,0.36123383,0.4022503,0.44102272,0.46254972,0.4656028,0.4582969,0.4516215,0.44927076,0.45049468,0.4513173,0.44934082,0.44388628,0.4346552,0.42494377,0.41585803,0.41010308,0.40596905,0.40447554,0.4052496,0.4094719,0.41674545,0.42727056,0.44055018,0.45488635,0.4649473,0.4640098,0.4467193,0.41484764,0.376748,0.3432705,0.3208757,0.3091196,0.30403432,0.30331472,0.30920696,0.3264874,0.35708597,0.39772567,0.44000825,0.47607338,0.49994326,0.5102637,0.5074691,0.49556386,0.4782981,0.45981598,0.44143102,0.42536786,0.41470167,0.41383553,0.42406735,0.4415439,0.45930338,0.4707141,0.4734639,0.46829167,0.4594439,0.45189688,0.44984034,0.45188382,0.45075372,0.43850872,0.41397825,0.38423446,0.35568288,0.32816768,0.29809538,0.27029884,0.25835022,0.27421924,0.31472102,0.36483273,0.40851977,0.4403902,0.46294907,0.4807808,0.4937398,0.4975029,0.48797038,0.4642776,0.43322584,0.40310597,0.38358986,0.3752689,0.37697646,0.3835393,0.39615273,0.413596,0.43398476,0.45052615,0.45995173,0.46071908,0.45063522,0.42368695,0.37716725,0.31984723,0.26943335,0.23960298,0.22880693,0.2243027,0.21496052,0.20004682,0.18650901,0.18078075,0.18440716,0.19432886,0.20611958,0.21527176,0.21955721,0.21924025,0.21830225,0.22049218,0.22734255,0.23552732,0.24100976,0.24192254,0.24035847,0.23926906,0.23948874,0.24024789,0.24098146,0.2432539,0.24773951,0.2529354,0.25558075,0.25615203,0.26054147,0.27630493,0.30515215,0.33954158,0.3676381,0.38010812,0.37537324,0.35830724,0.33828488,0.32429877,0.32144377,0.32743976,0.33596566,0.34191218,0.3469021,0.35638848,0.37287113,0.38960138,0.39392963,0.3775502,0.34472045,0.30903605,0.28347972,0.27264687,0.27508688,0.28671703,0.3051385,0.32768622,0.3533046,0.37852302,0.39900407,0.40854442,0.40583336,0.39466286,0.38192484,0.37200806,0.36536074,0.36188695,0.36292014,0.37220064,0.3928239,0.42516574,0.46557212,0.5065984,0.53950864,0.55531764,0.5469479,0.5109734,0.45084286,0.3783845,0.30930793,0.25816187,0.2322482,0.23317342,0.25470105,0.28542495,0.3091176,0.31452632,0.29950958,0.27339992,0.24909134,0.23738806,0.2421757,0.26172987,0.2911899,0.32480052,0.35613427,0.3777665,0.38487378,0.3776379,0.36355188,0.3513428,0.34905478,0.35767904,0.3738133,0.38686612,0.38625476,0.36394906,0.32198513,0.27038917,0.22308087,0.18958193,0.17204027,0.1674665,0.17363735,0.19135465,0.2229498,0.26679245,0.31621101,0.3613052,0.3953221,0.41850784,0.436601,0.45706546,0.4827706,0.5122197,0.5378348,0.55005175,0.54118544,0.51274586,0.47799397,0.45390475,0.45029953,0.46169007,0.4755014,0.4833385,0.4882406,0.49758682,0.5125334,0.5266871,0.532536,0.5309604,0.52705437,0.52548486,0.523099,0.51480985,0.49594268,0.46993616,0.44328824,0.42564854,0.41822824,0.41895616,0.42022038,0.4207703,0.4202311,0.42113695,0.42308187,0.42566255,0.4282658,0.4311314,0.43591622,0.44424415,0.4554973,0.46499828,0.4672993,0.46077263,0.45033547,0.4434618,0.4472269,0.46248722,0.48569158,0.50658584,0.5170329,0.51184946,0.4955282,0.47423992,0.45546818,0.44225165,0.43704727,0.43976307,0.44792533,0.45685923,0.46289584,0.4679929,0.47740522,0.49508944,0.5168786,0.53297377,0.53488296,0.5234253,0.5073077,0.4958403,0.49208668,0.4936657,0.49768892,0.5039137,0.51349014,0.52688855,0.5425306,0.5586372,0.5722477,0.5822951,0.58714384,0.58789307,0.58222175,0.5663118,0.5328677,0.48201707,0.42405403,0.37770948,0.35579666,0.35675707,0.36740437,0.3723422,0.36134133,0.32991993,0.28181335,0.22975439,0.19113487,0.1759227,0.17753476,0.17718439,0.15847692,0.120147206,0.0749669,0.04000112,0.027818521,0.046355765,0.10112614,0.19493341,0.322193,0.46388245,0.5875104,0.65862703,0.65730304,0.59130186,0.48877037,0.38313255,0.2951063,0.23363437,0.19758968,0.1835952,0.18448097,0.1932017,0.20299612,0.21119438,0.21780686,0.22491507,0.2322308,0.23747927,0.23744269,0.23390855,0.23385419,0.24711514,0.27863052,0.32359144,0.36716178,0.39115426,0.38462374,0.3500625,0.30240968,0.25936097,0.23341863,0.22571988,0.22891365,0.23064412,0.2230616,0.20473461,0.1818767,0.16175164,0.15181756,0.15805483,0.18598819,0.23655057,0.30182007,0.36346862,0.39921483,0.39710593,0.36476865,0.3278983,0.31028667,0.3209522,0.3495374,0.38478914,0.42139462,0.46314085,0.5065384,0.53977567,0.54630643,0.5220097,0.47969088,0.44263184,0.4261123,0.42478147,0.41676998,0.38367546,0.32900986,0.27755848,0.25518903,0.2683661,0.29986486,0.32408345,0.32590508,0.31167758,0.30261984,0.31910488,0.36294106,0.4142964,0.44497862,0.4414831,0.41640118,0.39746985,0.40338686,0.42877254,0.45318344,0.4619529,0.4609348,0.4674553,0.49225783,0.5258181,0.5460395,0.53519666,0.492136,0.43165138,0.37225056,0.32656303,0.2957286,0.2744756,0.258185,0.2473039,0.24667783,0.25956342,0.28529453,0.31705,0.34715417,0.37081948,0.39050606,0.41047466,0.43242064,0.4515246,0.46208227,0.4601556,0.44530734,0.42035523,0.39221004,0.37233388,0.36685315,0.37079707,0.36729947,0.34365717,0.30061796,0.2537305,0.22117573,0.2164207,0.24539953,0.3066717,0.390444,0.47673416,0.5444785,0.57964987,0.5845244,0.56831354,0.5424115,0.5139325,0.49320114,0.48696986,0.4954258,0.50425225,0.5004557,0.4796699,0.45384514,0.43504074,0.4290668,0.43062368,0.4329544,0.4326245,0.42936578,0.42471913,0.4188906,0.4150282,0.41599128,0.42436182,0.43824005,0.45366943,0.4667286,0.4742614,0.4735577,0.4634857,0.44873884,0.43901828,0.4422698,0.4562457,0.4715077,0.48091665,0.48717657,0.49719056,0.5122866,0.52675265,0.53618544,0.5470081,0.57279843,0.620939,0.68181473,0.73254603,0.75335646,0.7426422,0.7169025,0.6979852,0.6942256,0.69549876,0.68144745,0.64085907,0.582561,0.5297276,0.5035958,0.5086091,0.53414845,0.5637761,0.5856754,0.59433633,0.58852524,0.57138085,0.5471199,0.51966894,0.48980573,0.46304023,0.45326892,0.47628906,0.53382987,0.60539514,0.662196,0.6883087,0.6910651,0.6889737,0.6920869,0.6964447,0.69412047,0.68594295,0.6799677,0.67997056,0.68172526,0.678783,0.67134017,0.6649287,0.6621847,0.66094565,0.65288204,0.6310783,0.5903031,0.53384554,0.4712532,0.41477072,0.37126318,0.3397628,0.31394017,0.28932568,0.26874098,0.26660883,0.2992547,0.3713177,0.4602991,0.5262115,0.5331951,0.4754454,0.3754917,0.26805827,0.17749886,0.1135304,0.074533954,0.05539002,0.049498245,0.050635394,0.053918216,0.057114113,0.060344636,0.06482119,0.07104239,0.07784462,0.083305866,0.08688716,0.0912232,0.10094935,0.11948347,0.1459441,0.17584749,0.20429184,0.22915821,0.2506143,0.27012536,0.28794733,0.30460227,0.32054392,0.3386054,0.36094603,0.38570824,0.4052746,0.41049683,0.39979553,0.38001475,0.36302057,0.35563752,0.35661146,0.35709164,0.34854913,0.3300067,0.31013247,0.2994084,0.30174467,0.31100726,0.31881732,0.31966153,0.31594324,0.3127476,0.31689534,0.3292923,0.34668103,0.36008134,0.36496153,0.36155245,0.35745677,0.35723212,0.36254442,0.36929658,0.37604475,0.3817556,0.38895258,0.397295,0.40756032,0.41839492,0.43091455,0.44397077,0.45457482,0.45449412,0.4351095,0.39361918,0.33831128,0.28555992,0.2489726,0.23209105,0.22762983,0.22721714,0.22746055,0.23273605,0.24866967,0.27632773,0.30991185,0.3385134,0.35289618,0.34626555,0.31930315,0.27779335,0.23566537,0.20818914,0.20567243,0.22483046,0.24997191,0.26427713,0.26181087,0.25132492,0.24568056,0.25022662,0.25843427,0.2597321,0.24847864,0.22769922,0.2045588,0.18559909,0.17387158,0.17011386,0.17367148,0.18489999,0.20661128,0.24397309,0.29939735,0.36765978,0.43576142,0.49036655,0.5252469,0.5424359,0.54840654,0.5484571,0.54725415,0.5472071,0.55131835,0.558968,0.5673766,0.5676207,0.5504175,0.5105123,0.45473707,0.39754882,0.35461247,0.33332798,0.33773538,0.3673294,0.4215379,0.48906353,0.5552735,0.60407215,0.6306786,0.6369545,0.6250774,0.5922069,0.5313236,0.44404188,0.3412954,0.2453301,0.17376286,0.13573426,0.12643144,0.135601,0.15226386,0.16947432,0.18469739,0.19761054,0.20902075,0.21872608,0.22643937,0.23166741,0.23444663,0.23550797,0.23605406,0.23797439,0.24360335,0.2566365,0.28174505,0.32164073,0.37399665,0.4296229,0.4778982,0.5103414,0.5253045,0.525235,0.51732653,0.5099044,0.51013905,0.5192933,0.531934,0.5403835,0.539092,0.5298565,0.5193648,0.5164893,0.52285343,0.530549,0.5252178,0.49896574,0.45792592,0.41830203,0.39403403,0.38733312,0.39195278,0.40070927,0.41053843,0.42133227,0.43233004,0.444368,0.45942107,0.48251095,0.51509637,0.5524164,0.58378,0.5978541,0.59301734,0.57482547,0.5565765,0.54500604,0.5443175,0.5505393,0.5610351,0.5698562,0.57364684,0.5716714,0.56869346,0.5713313,0.5788487,0.58156395,0.56206614,0.510397,0.4289975,0.335319,0.24786514,0.17921495,0.13193256,0.10522801,0.09766382,0.105694294,0.12155559,0.13479324,0.14049675,0.14282231,0.15223475,0.17565846,0.20953707,0.24330209,0.26757383,0.28208426,0.2915269,0.29862282,0.2997534,0.29006445,0.2702448,0.2470939,0.22858183,0.21800967,0.21433312,0.21505843,0.22006766,0.2306937,0.24721968,0.26547584,0.2781172,0.2798818,0.27244624,0.26429448,0.26376304,0.2742289,0.29356667,0.3186451,0.34640083,0.37326977,0.39395085,0.4059682,0.41056582,0.4120765,0.4084781,0.39313146,0.35917723,0.31295756,0.2710789,0.25222877,0.2619712,0.29216003,0.32747462,0.357319,0.3788704,0.3941985,0.40421605,0.40703925,0.40072718,0.38684738,0.37188277,0.36321247,0.36402503,0.370177,0.37315044,0.36761597,0.3557861,0.34868547,0.35646227,0.3821905,0.41565454,0.44295266,0.45342648,0.44626907,0.4255301,0.39830032,0.37286898,0.35785338,0.35596934,0.3617195,0.36437997,0.35855517,0.34766635,0.3418299,0.34694934,0.3609431,0.37447336,0.38030824,0.3764135,0.36697653,0.35665128,0.3503975,0.35117674,0.3608223,0.37593386,0.38948354,0.39385962,0.38785324,0.37723014,0.36985925,0.3688741,0.37032065,0.3682519,0.36007807,0.3498436,0.34467718,0.35075927,0.36965036,0.39838108,0.43142033,0.46272144,0.48772612,0.5028123,0.5072691,0.5017882,0.48887792,0.4660674,0.42820966,0.3699533,0.29746374,0.22532065,0.17070125,0.14065067,0.13311623,0.14023207,0.15465654,0.16883518,0.17632174,0.17299958,0.16038549,0.14349146,0.12753971,0.11457976,0.10452833,0.09689757,0.09173956,0.08932731,0.089876026,0.09366545,0.10048855,0.10908849,0.117341876,0.12357408,0.12759899,0.1311362,0.13631576,0.14479844,0.1554545,0.16592641,0.17355804,0.17936026,0.18649818,0.19787444,0.21177067,0.22239476,0.22415876,0.2157899,0.20170324,0.18818907,0.18023805,0.17942448,0.18569279,0.19872566,0.21816568,0.24169175,0.26485482,0.28238395,0.29183117,0.29389337,0.29327685,0.29502702,0.30327538,0.31665924,0.33052352,0.33904898,0.34028688,0.33448243,0.32143596,0.2984852,0.26355973,0.2192658,0.17313886,0.13444959,0.109697066,0.103736766,0.12102958,0.16678117,0.23923242,0.3260496,0.4042122,0.45474705,0.4726567,0.47146058,0.46784142,0.46919477,0.46793756,0.4558442,0.43600842,0.4231477,0.4282157,0.44636428,0.4626149,0.46756348,0.4677682,0.4755499,0.49491215,0.5147338,0.5223715,0.51371795,0.49728408,0.48194405,0.47330472,0.47188306,0.47867063,0.49322328,0.5122947,0.5298641,0.54038954,0.5424393,0.5382898,0.5327592,0.53050095,0.5337859,0.54117423,0.54704,0.5453706,0.53144914,0.50526685,0.4701781,0.43420038,0.40629995,0.39352772,0.39654616,0.41100124,0.43074656,0.45031762,0.46497288,0.47087765,0.46845976,0.46347454,0.46303356,0.46879184,0.47528008,0.47726893,0.47586703,0.4763629,0.47754607,0.46770993,0.4347684,0.37983885,0.32085788,0.27858293,0.26451108,0.2780514,0.3155401,0.373619,0.44583306,0.51850873,0.5747332,0.60393596,0.60647637,0.59223455,0.5726699,0.5567785,0.54623276,0.5394202,0.5330128,0.527407,0.5239441,0.52336913,0.52343553,0.519466,0.5084155,0.490538,0.4719036,0.45764247,0.45050082,0.44772542,0.44749555,0.44761428,0.44784114,0.4471458,0.44694158,0.44720545,0.44497824,0.43339172,0.41059378,0.3861904,0.37809253,0.39913473,0.44663858,0.50604033,0.56145936,0.60283047,0.6260021,0.6308411,0.62280756,0.610106,0.60051584,0.5958436,0.595352,0.59757376,0.60300946,0.6097807,0.6134266,0.60668725,0.5839761,0.54384834,0.49135923,0.43625042,0.38842034,0.35271278,0.32870474,0.3130151,0.3045485,0.30380073,0.3129465,0.33090308,0.35378036,0.37539718,0.39209163,0.4039998,0.41355905,0.4220792,0.42888758,0.43329918,0.43828902,0.44981745,0.47272792,0.5018878,0.5223398,0.5171322,0.48310578,0.43405092,0.39185378,0.37044773,0.36976865,0.38018474,0.39040267,0.39198136,0.3811258,0.35929334,0.3331903,0.31073833,0.2982117,0.2983979,0.31275797,0.3415893,0.38223636,0.42701545,0.46462205,0.48645043,0.49170807,0.48693025,0.47959876,0.47230375,0.46482912,0.45899358,0.46192384,0.4797257,0.5114437,0.5473849,0.57683825,0.5950196,0.604959,0.6117337,0.61829907,0.6236677,0.6265457,0.62605757,0.6228469,0.6174567,0.61071426,0.6035749,0.5967615,0.5906405,0.58490294,0.5810985,0.58219475,0.5921528,0.6104494,0.6326573,0.6513156,0.66235334,0.665371,0.6639335,0.6613737,0.6589155,0.65331215,0.6390384,0.61265653,0.57823676,0.54553986,0.52232456,0.5046006,0.47810698,0.42941657,0.35998294,0.287017,0.2318194,0.20516618,0.20297325,0.21333015,0.22574185,0.236059,0.2447042,0.2539548,0.26475838,0.2773012,0.29098403,0.30623466,0.32300496,0.3412039,0.36088312,0.3834187,0.40950945,0.43592653,0.4560131,0.46470347,0.46353778,0.4594737,0.4584056,0.4612951,0.46520615,0.46929944,0.47678283,0.49270216,0.51701355,0.5417347,0.5551954,0.5514879,0.5360627,0.52015346,0.5104928,0.50285333,0.48781133,0.46031335,0.42633688,0.3993125,0.3912767,0.40392542,0.42594686,0.43841174,0.42497894,0.38190246,0.31964102,0.2563861,0.20684369,0.17646281,0.16158165,0.15464324,0.14777535,0.13603866,0.11793918,0.095429756,0.07158726,0.049307644,0.030532634,0.016488435,0.0076172384,0.004034481,0.0072732144,0.021438649,0.051731687,0.09816424,0.15139435,0.19392799,0.21147121,0.20248806,0.18230806,0.17268054,0.18744515,0.22101049,0.25197402,0.25912324,0.2374055,0.20321518,0.18393336,0.200468,0.25555524,0.3328611,0.4113207,0.47293457,0.5085736,0.51601726,0.5018209,0.4802232,0.46069726,0.44631,0.43157592,0.41691303,0.40180656,0.38491607,0.35894904,0.3217761,0.2794812,0.24430133,0.2255844,0.22460614,0.23719724,0.25774541,0.2826824,0.30703864,0.32317603,0.32240653,0.30238476,0.2707426,0.24151258,0.22628616,0.22855468,0.24332674,0.26288548,0.280172,0.29518473,0.31072795,0.33186233,0.35360035,0.36763337,0.36279783,0.3426826,0.31801996,0.30550924,0.30950654,0.3267348,0.34632194,0.36280933,0.37379086,0.3820378,0.38873935,0.39658606,0.40837765,0.43029332,0.46696267,0.51634747,0.5660277,0.5971823,0.59807795,0.57188743,0.536784,0.51010543,0.49831402,0.49430418,0.48776457,0.47154832,0.4454627,0.41369793,0.38531646,0.36881208,0.3708477,0.3884982,0.41189048,0.42280415,0.40661517,0.3582478,0.28942558,0.2202064,0.16797376,0.13830636,0.1270442,0.12825464,0.1388952,0.15707272,0.17886417,0.19928467,0.21760058,0.2383881,0.26707932,0.3030109,0.33840337,0.36456606,0.37926117,0.3888023,0.40210295,0.4223423,0.44438016,0.4596795,0.46644875,0.47151032,0.48542914,0.51137775,0.5442224,0.57472676,0.59785825,0.61160135,0.6159908,0.6094079,0.59487504,0.5777128,0.5664033,0.559511,0.54625624,0.5095018,0.44350433,0.36094162,0.2853376,0.2355792,0.21441795,0.21649162,0.23446685,0.26516834,0.3030518,0.34128785,0.3727012,0.3962988,0.4156864,0.43725666,0.46381542,0.4953572,0.52783924,0.55863667,0.5847974,0.6074143,0.6270576,0.64697,0.66681343,0.68274444,0.6822749,0.65194917,0.5886104,0.5074213,0.43302405,0.38019463,0.34535325,0.31669882,0.2895259,0.27168152,0.27165627,0.2891904,0.3104535,0.31764558,0.29734132,0.24867563,0.18210548,0.11478245,0.061960205,0.034060817,0.036875803,0.075072505,0.14597793,0.23444553,0.3143159,0.3663689,0.39014018,0.3997488,0.4070094,0.41511106,0.4226251,0.42949358,0.43334302,0.431321,0.42334345,0.4156978,0.41339627,0.41456556,0.4140295,0.4090878,0.4018116,0.3923988,0.37958327,0.36411163,0.3536254,0.35775304,0.37908754,0.40974882,0.43893215,0.46361232,0.4875535,0.51171476,0.5271776,0.5262048,0.51209915,0.5007581,0.50260705,0.5143129,0.52137977,0.51356846,0.4918306,0.46362206,0.43462983,0.40332666,0.3676329,0.33174255,0.3098689,0.3171847,0.35706237,0.41679788,0.47508654,0.5172994,0.541097,0.5539639,0.56238985,0.56720865,0.5624425,0.54210025,0.50418764,0.4564686,0.41513896,0.39771962,0.411126,0.4441863,0.4787993,0.5017769,0.5138989,0.51929194,0.522518,0.52541995,0.5312893,0.53755045,0.5377964,0.52482694,0.50140136,0.4733951,0.44435564,0.40984395,0.37002227,0.33508638,0.3226079,0.3408029,0.38247287,0.43244544,0.48046222,0.5243845,0.56230134,0.5906222,0.60643744,0.6138454,0.61744994,0.61829334,0.60972625,0.58761233,0.55260116,0.51325655,0.47608706,0.44570112,0.42127833,0.40069616,0.37758783,0.34581658,0.30347976,0.25788397,0.22086002,0.19978507,0.19227898,0.18904139,0.18532956,0.18675037,0.20807008,0.2574569,0.3262849,0.38841227,0.41685018,0.39903447,0.34253374,0.2690836,0.20153521,0.15545337,0.13173597,0.12451881,0.1271953,0.14276667,0.17291869,0.21107268,0.23563953,0.22945447,0.19465387,0.15926643,0.15733826,0.20642881,0.29589772,0.3950832,0.47441268,0.51929694,0.53394216,0.5305281,0.522003,0.5151866,0.51276046,0.5124332,0.5129971,0.5137725,0.5176813,0.5245865,0.533158,0.53790396,0.53644353,0.52760714,0.5163317,0.50703526,0.5049916,0.5086413,0.5135638,0.51156557,0.49810264,0.47422242,0.44611695,0.42130768,0.40057576,0.38243654,0.36610177,0.36108312,0.3768774,0.41420412,0.45667806,0.48257712,0.47948918,0.45230508,0.4169916,0.38908258,0.3780211,0.38778922,0.41747686,0.4605147,0.5045076,0.53856033,0.558321,0.5667625,0.5680899,0.5640784,0.55542666,0.5436613,0.5329843,0.5278272,0.53112245,0.54250973,0.5577608,0.57372826,0.5883198,0.60325813,0.61588436,0.62155014,0.61367613,0.5909797,0.5553616,0.50580287,0.4383721,0.34932184,0.24853058,0.15378143,0.08471363,0.046283532,0.03212053,0.029153088,0.028224148,0.024763467,0.018701311,0.011641446,0.0057671145,0.0021075315,0.00051969156,5.8066722E-05,6.041048E-07,1.3077536E-08,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]