[0.020438898,0.025868142,0.036604706,0.047615662,0.05493617,0.057757307,0.057776306,0.056995064,0.05635564,0.056243885,0.05839917,0.065528415,0.079245545,0.09692937,0.11302493,0.12225133,0.12344283,0.11880022,0.11166141,0.104319096,0.09839436,0.095537685,0.09715888,0.10324526,0.111638226,0.119021975,0.12262267,0.12160628,0.11695068,0.11048898,0.10390995,0.09839059,0.09458315,0.092505306,0.091346025,0.08983153,0.086929105,0.0826565,0.07768815,0.07319339,0.07077456,0.073629744,0.08553263,0.108413875,0.13883683,0.16871251,0.18939435,0.19697112,0.19344682,0.18403812,0.17391907,0.16712773,0.16722608,0.17622177,0.19278465,0.21133435,0.22514749,0.22977944,0.22512205,0.21368933,0.19885512,0.18345426,0.17012437,0.1610176,0.15726669,0.15789688,0.16014124,0.16080414,0.15819229,0.15246858,0.14490187,0.13675289,0.12934813,0.12464114,0.12496451,0.13162214,0.14306928,0.15523946,0.16358083,0.16582142,0.16251725,0.15579472,0.14751294,0.13871123,0.13000773,0.12206068,0.1153106,0.10971374,0.10467852,0.09962266,0.094274454,0.08886627,0.08383778,0.079598874,0.07636741,0.07435128,0.07408712,0.07618123,0.08069458,0.08620607,0.09034679,0.090945035,0.08758288,0.08146438,0.07440103,0.06772238,0.06230849,0.059468,0.060861815,0.0674794,0.0779171,0.08865573,0.09576556,0.097355746,0.09407895,0.08812251,0.08148018,0.075185664,0.06943265,0.06408306,0.05903548,0.05435727,0.050328266,0.04724512,0.0451992,0.043872908,0.042737156,0.04129328,0.039525356,0.038060617,0.038265526,0.041375805,0.047538847,0.055021543,0.06124419,0.06430444,0.06424955,0.062480003,0.060745772,0.060625415,0.06411729,0.073594846,0.090284996,0.11212742,0.13359086,0.14839745,0.15313007,0.14879392,0.13943483,0.12979645,0.1239773,0.12524305,0.13517763,0.1523334,0.17126651,0.18498443,0.1884681,0.18180263,0.16894454,0.15490268,0.14276646,0.13349724,0.12679364,0.12203875,0.118290015,0.11439255,0.10943679,0.103413135,0.097035445,0.09167308,0.08927756,0.09268656,0.103756875,0.121564746,0.14116931,0.15670179,0.16431485,0.16434275,0.15941955,0.15262777,0.14594781,0.14065349,0.13753521,0.1369904,0.13835154,0.14004032,0.14012657,0.13765824,0.13280298,0.12658061,0.11989447,0.11327142,0.10690551,0.100992315,0.09596598,0.09206331,0.08910072,0.08612334,0.08230319,0.07722875,0.071424566,0.065529436,0.060445745,0.05725537,0.05792265,0.064006604,0.07537329,0.08881875,0.10004602,0.10590098,0.106338345,0.10312245,0.098230325,0.09254908,0.08627266,0.079466544,0.07255893,0.0662686,0.061444726,0.058602836,0.057692464,0.058034915,0.058737367,0.059155703,0.059046317,0.05844688,0.057573393,0.05707392,0.05830026,0.06257099,0.07003393,0.07856235,0.08487753,0.08627931,0.082437925,0.07491139,0.06597809,0.05724767,0.04953122,0.04321723,0.0389663,0.03785582,0.04073977,0.047304053,0.055568475,0.06290367,0.067351155,0.0686161,0.0675719,0.06544926,0.06313577,0.061041843,0.05918239,0.057244405,0.054839093,0.051742584,0.048121106,0.044527307,0.041723426,0.040676873,0.042509824,0.04908542,0.06345075,0.08964771,0.13060026,0.18476802,0.24524952,0.30201697,0.34760228,0.37972763,0.40130925,0.41688707,0.43036902,0.4431503,0.45308003,0.45407107,0.43852353,0.4022114,0.34852734,0.28765914,0.23154934,0.18792437,0.15831079,0.13959192,0.1283563,0.12417525,0.13075455,0.15108462,0.18230397,0.2126974,0.2290471,0.2246735,0.20488352,0.18083364,0.161403,0.14814894,0.13955392,0.13822642,0.15204169,0.18714201,0.23807089,0.2876487,0.31578836,0.3117545,0.27832854,0.22812492,0.17622511,0.1349354,0.11184309,0.10857472,0.120759286,0.1392561,0.15482186,0.16215836,0.16148764,0.15586393,0.14845371,0.14138065,0.13657732,0.13573903,0.13919051,0.14473508,0.1494149,0.15228604,0.15646915,0.16491044,0.17614765,0.18235105,0.17799003,0.16673213,0.16290404,0.17952584,0.21874022,0.2680439,0.30881158,0.323669,0.30515942,0.25744987,0.19758148,0.1475205,0.1271194,0.1474093,0.20830657,0.2979233,0.3934863,0.47214556,0.52043194,0.5408581,0.5426614,0.53323346,0.5119482,0.47505975,0.42201757,0.36002722,0.30150983,0.25740674,0.23145215,0.22106552,0.22055076,0.22454602,0.22564043,0.2183401,0.2026658,0.19148554,0.20027225,0.23676383,0.28929147,0.33788097,0.36441854,0.36301628,0.33576742,0.2907193,0.23927768,0.1937413,0.16301136,0.14964028,0.15093146,0.16128336,0.17295308,0.17943001,0.17684603,0.16656645,0.15166686,0.13604121,0.12219474,0.11167785,0.10395656,0.09810517,0.094967455,0.097925685,0.108407624,0.121615134,0.12756847,0.12029436,0.106156565,0.10371617,0.13251221,0.19854747,0.288955,0.37933227,0.45011678,0.4944558,0.5147929,0.5113066,0.480139,0.42127964,0.34883502,0.28964427,0.2690382,0.29619431,0.35738674,0.4262074,0.4756187,0.4907222,0.46886095,0.4189496,0.355046,0.29256335,0.24207805,0.20728874,0.18552373,0.1717691,0.16184555,0.15397486,0.14804107,0.14466493,0.14426255,0.1468263,0.15138096,0.15519446,0.15452123,0.1465174,0.13260414,0.11744636,0.10637796,0.10128463,0.10162563,0.10494992,0.10918847,0.11276472,0.11867967,0.1325237,0.15812151,0.18896465,0.21175529,0.21472947,0.19715917,0.1665961,0.13324325,0.105256855,0.09022718,0.093981065,0.11775058,0.15447259,0.19265676,0.22242205,0.2408116,0.24994223,0.25350463,0.25400865,0.2530247,0.25154877,0.24956329,0.24528944,0.23574112,0.2185501,0.1945753,0.1681513,0.14511193,0.12835945,0.116488725,0.10615852,0.097212106,0.09393849,0.100709826,0.11688027,0.13624342,0.15252407,0.16309126,0.16874307,0.16953099,0.16335809,0.14751291,0.12226062,0.09224243,0.06471521,0.045690212,0.037369464,0.038693164,0.04745813,0.060646992,0.0740313,0.082589395,0.08443835,0.08235913,0.083551906,0.095086604,0.12074519,0.15726422,0.1945139,0.21989419,0.22595656,0.21477775,0.1948784,0.17486824,0.15877652,0.14666612,0.13684295,0.12810875,0.119847424,0.112110965,0.105459206,0.10118484,0.10006037,0.10067307,0.099035166,0.09222535,0.08221072,0.07668185,0.08254381,0.100192316,0.12189064,0.13889186,0.14707474,0.14847516,0.14626993,0.14185213,0.13491838,0.12635265,0.118296325,0.11256248,0.1085851,0.10437056,0.09820732,0.09022849,0.08171186,0.074004315,0.067941606,0.064777195,0.06732133,0.079150595,0.10149622,0.12998696,0.15569149,0.17015254,0.17063363,0.16015975,0.14408165,0.126923,0.11253313,0.10457447,0.10495633,0.111714385,0.11938106,0.123083495,0.12160528,0.117150344,0.111983724,0.10650445,0.10024641,0.09374622,0.08922709,0.08865372,0.0923152,0.09799988,0.10276728,0.10434017,0.102519184,0.09846041,0.09377586,0.08951963,0.08640019,0.08529601,0.08698233,0.09124821,0.096036874,0.09873533,0.09780648,0.09403881,0.08932939,0.08546421,0.083483376,0.08454772,0.090238415,0.10158229,0.11729733,0.13406457,0.14980356,0.16831948,0.1987108,0.24979186,0.32106838,0.4017867,0.47530818,0.5296302,0.56090206,0.57376105,0.5746539,0.5688835,0.55843824,0.5448403,0.52974385,0.5151882,0.5015097,0.48716822,0.47002706,0.44965804,0.42941502,0.41400698,0.4064879,0.40316406,0.39766824,0.3846009,0.36566424,0.3453242,0.32820693,0.31543338,0.30687475,0.30100653,0.29582465,0.28971422,0.2862101,0.29410067,0.3228791,0.3718722,0.42827272,0.47395492,0.49851313,0.5034692,0.49716365,0.4855871,0.46824142,0.44008565,0.39768243,0.34353364,0.28625116,0.23524196,0.19617444,0.17058323,0.15900183,0.1626364,0.18119413,0.21085842,0.24426223,0.27433446,0.29663363,0.31091806,0.3185048,0.32054794,0.3158667,0.30201432,0.2771379,0.24199837,0.2013703,0.16172431,0.12902527,0.105013035,0.08875034,0.078494705,0.074863695,0.07988455,0.094875395,0.117806494,0.14314044,0.16398893,0.17584918,0.17855763,0.17576297,0.17147554,0.16829854,0.1667545,0.1668769,0.16825472,0.17029224,0.17171676,0.17137824,0.16841225,0.1628741,0.15513137,0.14619291,0.13702281,0.12906958,0.123672865,0.122127,0.124533944,0.12931609,0.13331813,0.13358557,0.12911958,0.12159913,0.1138986,0.1083796,0.10552973,0.10459452,0.104467906,0.104692884,0.10529232,0.10644407,0.10819905,0.110561185,0.1134019,0.1163598,0.11894744,0.121118985,0.123556964,0.12704962,0.13152222,0.13537128,0.13667528,0.1342991,0.12900563,0.12232659,0.115842044,0.11026368,0.10605659,0.10359489,0.10321027,0.10453731,0.10649835,0.107700795,0.107317336,0.10508001,0.101300776,0.096567236,0.09232869,0.09096294,0.09527459,0.106810786,0.124180816,0.14299886,0.15797387,0.16588648,0.16696191,0.16369705,0.15869433,0.15326244,0.14767647,0.14178967,0.13562627,0.12928654,0.12310908,0.11726179,0.111744195,0.106180996,0.100399695,0.09473834,0.08997958,0.08683422,0.085337944,0.08495259,0.08482728,0.084413886,0.08352527,0.082341515,0.08099097,0.079499036,0.0776019,0.07500578,0.07147118,0.06704203,0.06196251,0.05658022,0.051322237,0.046707004,0.043268707,0.041318763,0.040777188,0.04128349,0.042404685,0.043853182,0.045450922,0.0470369,0.04830808,0.048842628,0.048175897,0.046037395,0.043653782,0.04542862,0.060452163,0.09803986,0.16123717,0.2398154,0.31508803,0.36898425,0.39480707,0.39687285,0.38541892,0.36902913,0.3519846,0.3352457,0.3209958,0.3147564,0.32355192,0.34874415,0.3837745,0.41740808,0.44249773,0.4589901,0.47174263,0.4847382,0.49818993,0.5086515,0.5111742,0.5018422,0.4790201,0.4436364,0.39878884,0.3511261,0.31195137,0.2956753,0.31273046,0.36188853,0.42802712,0.4896001,0.52943516,0.5420254,0.5320843,0.5092353,0.48223877,0.45695767,0.43630242,0.42181292,0.4143504,0.41382357,0.41828004,0.42444053,0.42933035,0.4319335,0.43218103,0.42920753,0.42015788,0.40241277,0.37590638,0.3440785,0.31173995,0.2834078,0.26254222,0.25124183,0.2484461,0.2489909,0.24580479,0.23442934,0.21569969,0.19412963,0.17500691,0.16333002,0.16561347,0.18896455,0.23622115,0.2992663,0.36001524,0.39976075,0.4105619,0.39734265,0.37032655,0.33646503,0.29905275,0.26291096,0.23590864,0.22338283,0.22206034,0.223397,0.22246994,0.2253204,0.24494727,0.2911345,0.36047232,0.43585578,0.49649367,0.53024215,0.5392397,0.5333249,0.5200791,0.4989357,0.46505252,0.41680804,0.3605989,0.30817905,0.2693298,0.24792667,0.2407263,0.24104156,0.23924893,0.23023824,0.2176645,0.21710281,0.24280922,0.29673544,0.36286303,0.42125607,0.4588417,0.47659084,0.48176607,0.48357522,0.48609534,0.4876838,0.47891653,0.45032975,0.39894092,0.33495578,0.27462682,0.23324616,0.2165519,0.22218554,0.24082582,0.26147938,0.27543393,0.2797446,0.2762574,0.26762345,0.25576296,0.24304086,0.23434989,0.23622704,0.25194713,0.27982453,0.31165454,0.34007284,0.3589671,0.36694846,0.3610057,0.3414878,0.31513897,0.3008211,0.31826213,0.3737519,0.45222571,0.5284969,0.5847478,0.6183369,0.63433367,0.63388014,0.61052513,0.5605531,0.49249387,0.42869893,0.3888639,0.3775839,0.38184428,0.3846188,0.375293,0.351892,0.31701472,0.27516165,0.23309733,0.19917439,0.17960663,0.17466152,0.17782873,0.18070512,0.17818995,0.17041689,0.1599706,0.14910083,0.14025648,0.13759126,0.14569955,0.16516979,0.19075812,0.21460955,0.23225619,0.2440746,0.25261116,0.25791314,0.25727582,0.24853538,0.23445754,0.22287947,0.21984671,0.22337012,0.22296281,0.209882,0.18414187,0.15468532,0.13025461,0.11435994,0.10518279,0.1000191,0.09738069,0.09709844,0.098909855,0.10172549,0.10465469,0.109275185,0.12135055,0.14722338,0.18863629,0.23898542,0.28899726,0.33338282,0.37425616,0.41552234,0.45724967,0.4946506,0.5209922,0.5309779,0.52082604,0.49042043,0.44384602,0.39071932,0.34179792,0.3055226,0.28419718,0.27515498,0.27261913,0.27108654,0.26710305,0.26016554,0.25192487,0.244574,0.23918438,0.23436598,0.2271297,0.21472804,0.19754352,0.17921273,0.16535287,0.16126014,0.16985239,0.1897682,0.21391495,0.23272406,0.24008437,0.23816639,0.23481826,0.23646544,0.24340202,0.25110456,0.25521755,0.25432685,0.24960487,0.2429805,0.23670162,0.23377502,0.23780596,0.2504531,0.269485,0.28870967,0.30242,0.308153,0.3079948,0.30422834,0.29790482,0.28698424,0.2703832,0.2483714,0.22485155,0.20421474,0.19121182,0.18882917,0.19913329,0.221034,0.24996161,0.27853188,0.30201137,0.32095325,0.33976302,0.36018118,0.3788705,0.38985166,0.39017925,0.3817041,0.36937535,0.35765198,0.34877697,0.3422476,0.3357571,0.32643673,0.31247702,0.2939023,0.27243006,0.2505831,0.2308354,0.21527593,0.20540087,0.2020939,0.20440364,0.20950215,0.21428342,0.22068511,0.23814605,0.27835998,0.34306297,0.41637254,0.4725329,0.4928932,0.47806454,0.44358146,0.40685177,0.37620425,0.35011283,0.32282618,0.2919177,0.26093653,0.23644622,0.22150265,0.21327157,0.20668536,0.20028763,0.19707298,0.20005746,0.20778812,0.21620518,0.22340007,0.2327678,0.24721377,0.26422194,0.27493796,0.27448952,0.26805934,0.26858965,0.28386378,0.3089045,0.32960176,0.33507407,0.32368663,0.30216345,0.27676323,0.25362894,0.2376618,0.23810881,0.26166335,0.31022626,0.3734735,0.43657207,0.48532668,0.51657015,0.5339835,0.54539657,0.5545154,0.5622921,0.566472,0.5656095,0.5583946,0.54472905,0.52444714,0.49939147,0.47265673,0.44813108,0.42538905,0.40008005,0.36569178,0.32133427,0.2732996,0.23384374,0.21306592,0.21283342,0.22360061,0.22993068,0.22009219,0.1944608,0.16346984,0.14015134,0.13335909,0.14900498,0.19097765,0.25660464,0.33062997,0.3875542,0.40716887,0.38694546,0.34255457,0.29346886,0.25211307,0.2218536,0.20276892,0.19421779,0.19361313,0.19656096,0.1996413,0.20359479,0.2087959,0.21218617,0.2064593,0.1910073,0.17515163,0.17634507,0.20358874,0.25114915,0.29874238,0.32763386,0.32862768,0.30557474,0.26694927,0.22285026,0.18220496,0.15436329,0.14545882,0.15608948,0.17946571,0.2055214,0.22571133,0.23639606,0.23778646,0.23149598,0.21966283,0.20639896,0.19989258,0.21256459,0.25633454,0.3347752,0.4355348,0.53191656,0.59407765,0.60517263,0.57299757,0.5247405,0.4918618,0.48725256,0.50176877,0.5106129,0.49409795,0.4469335,0.38165855,0.3194156,0.2779042,0.26058617,0.25628105,0.24986108,0.23540442,0.2200104,0.21815872,0.24075337,0.28771755,0.34606636,0.39574972,0.42115715,0.41867542,0.39592108,0.3630136,0.32666668,0.28991786,0.25457248,0.22251295,0.19461304,0.17181933,0.15669279,0.15575661,0.1751405,0.21521227,0.26569176,0.31240058,0.34536564,0.36437392,0.3734734,0.37493062,0.36733732,0.348868,0.32033303,0.2850863,0.24804485,0.21422601,0.18741071,0.16874199,0.1569764,0.15027797,0.14810874,0.15101154,0.1591907,0.17105322,0.18372388,0.19448836,0.2023871,0.20833613,0.2141787,0.22111148,0.2289586,0.23616655,0.24105836,0.24254459,0.24097286,0.23732722,0.23284237,0.228103,0.22343896,0.2194084,0.21685635,0.2166339,0.21836716,0.22082078,0.22179802,0.21970452,0.21523266,0.21438177,0.2296818,0.27436244,0.3528308,0.45206928,0.54777145,0.61727506,0.65304273,0.6617756,0.65595347,0.64392394,0.62768036,0.6067795,0.58506835,0.5712254,0.5741245,0.5926637,0.6162829,0.6298303,0.62411183,0.59617764,0.5487008,0.48939157,0.43342897,0.39933726,0.39718163,0.4190495,0.44334128,0.44939587,0.4296447,0.38879037,0.33674383,0.28261772,0.23485224,0.20210606,0.19335599,0.21311891,0.2573824,0.31134006,0.35718176,0.38224277,0.38513783,0.37088332,0.34645072,0.31695476,0.28754663,0.26250544,0.2447597,0.2338968,0.22765489,0.22329795,0.21990128,0.21858424,0.22178788,0.23136967,0.24731056,0.26842603,0.29388788,0.32342362,0.3546625,0.38046816,0.39103115,0.37996826,0.35056505,0.31345925,0.2801166,0.25533482,0.2394727,0.23300517,0.24053256,0.26662663,0.30944112,0.35855842,0.39884016,0.42029086,0.42220664,0.41271457,0.4001809,0.38877717,0.37821886,0.36879447,0.3632896,0.36459556,0.37136814,0.3770173,0.3728726,0.3536007,0.32041702,0.2807646,0.24380761,0.21572931,0.197657,0.18727058,0.18159728,0.17846692,0.17693104,0.17709295,0.17943114,0.18336128,0.18628718,0.18542743,0.18104422,0.17765611,0.18047982,0.19009447,0.20132522,0.20753199,0.20626359,0.19999082,0.19311355,0.1885971,0.18856113,0.19559608,0.21364819,0.24426627,0.28299025,0.31736198,0.3334658,0.3250625,0.29907748,0.26947793,0.24617577,0.22961354,0.21554959,0.2025624,0.19299443,0.18921871,0.1916642,0.20215102,0.22348149,0.25581524,0.2908301,0.317221,0.32746813,0.32409516,0.3135486,0.30121437,0.2874085,0.27123544,0.2523853,0.23282814,0.21460049,0.19886689,0.18505673,0.17254342,0.16219808,0.1566981,0.15827213,0.16676658,0.17969905,0.19463696,0.20917636,0.21984519,0.22123331,0.21038209,0.19061755,0.17123236,0.16033868,0.15893579,0.16165632,0.16392867,0.16851349,0.18333171,0.21412086,0.2568716,0.30144003,0.33834076,0.36512864,0.38136688,0.38420412,0.36742735,0.32978737,0.27894756,0.22924978,0.19225071,0.17170276,0.16390724,0.16357194,0.16844147,0.18033578,0.20187116,0.23105556,0.26025292,0.27926984,0.28358948,0.27618587,0.2663751,0.26062578,0.26114008,0.26420477,0.26743987,0.26888868,0.26968503,0.26950184,0.26945484,0.26947296,0.27059522,0.27105352,0.26859236,0.26010364,0.24657162,0.23181123,0.22143693,0.21735613,0.21779345,0.21873371,0.21809436,0.21574505,0.21209197,0.2067781,0.20017606,0.19520044,0.19561644,0.20204748,0.20910262,0.20881043,0.1965282,0.17483373,0.1508997,0.13138922,0.1193183,0.11474654,0.11684832,0.12400228,0.13307603,0.14052095,0.14652483,0.15848164,0.18700963,0.23708089,0.29982093,0.35681137,0.39068985,0.3959813,0.37822688,0.34761643,0.3123168,0.27747586,0.24672186,0.22224922,0.20422535,0.19031304,0.17866917,0.17029552,0.17013109,0.18240334,0.2062164,0.2328922,0.25170836,0.25581235,0.24680857,0.23087998,0.21460724,0.20081043,0.18985765,0.18133062,0.17619748,0.17582172,0.18053745,0.18833025,0.19582617,0.19981097,0.1983103,0.1914946,0.18363227,0.18562864,0.21324503,0.27791125,0.37519756,0.48186406,0.5684324,0.6169176,0.62974316,0.6219906,0.607694,0.5921772,0.5752643,0.55904955,0.5497119,0.5516816,0.558147,0.5526125,0.52136743,0.46963707,0.4199728,0.39566693,0.40091467,0.42137644,0.43770638,0.44084287,0.43118644,0.41247296,0.38618147,0.35453188,0.32247195,0.29698357,0.28261635,0.27993417,0.28763577,0.30676436,0.33986166,0.3863865,0.4366963,0.4753368,0.48885414,0.47603762,0.44708332,0.41605747,0.38920426,0.36323467,0.33192334,0.29556808,0.26120874,0.2356472,0.21924198,0.20733921,0.19538997,0.18197554,0.16824174,0.15829979,0.16014452,0.18500604,0.23925805,0.31656373,0.39535475,0.45017162,0.46552077,0.44410983,0.40111828,0.3520256,0.30553907,0.2650795,0.23616661,0.22578304,0.23728049,0.26411775,0.29492584,0.31978074,0.33462596,0.336535,0.32304525,0.29425105,0.2586614,0.23047937,0.22132619,0.23026742,0.24408932,0.24666168,0.23141289,0.20398629,0.17601977,0.15558189,0.14469449,0.14183997,0.14544314,0.15366495,0.16315971,0.1710726,0.17824115,0.19070233,0.21086079,0.23271711,0.24191405,0.2340309,0.22095287,0.22808827,0.26994464,0.3397273,0.41051838,0.4567773,0.4684565,0.45658016,0.4412148,0.43704417,0.44204533,0.44105458,0.41939083,0.37543878,0.32150683,0.27221814,0.23580645,0.21307926,0.2053511,0.21618466,0.24651414,0.28752425,0.32202342,0.33777356,0.33494163,0.32537898,0.31576452,0.3042272,0.28336534,0.25388923,0.22312558,0.19918327,0.18487088,0.18128014,0.1915044,0.21733265,0.2528548,0.28375292,0.2972332,0.29120818,0.2752891,0.2616221,0.25765374,0.26381484,0.27515003,0.28292564,0.27760872,0.25554362,0.22182204,0.18835689,0.16569777,0.16007335,0.17094822,0.19265191,0.2135608,0.22274476,0.21502598,0.19500078,0.17134118,0.15131646,0.13718756,0.12814783,0.12255544,0.1194453,0.11848655,0.12060747,0.1283456,0.14620383,0.17650785,0.21631122,0.25494054,0.28183958,0.29188082,0.28965926,0.28189775,0.27408448,0.26878217,0.2702594,0.28325996,0.30898118,0.34094575,0.36793175,0.37996134,0.37331343,0.3497964,0.31476167,0.27481216,0.23838975,0.21480626,0.21151619,0.22832139,0.25452736,0.27347967,0.27281597,0.25237134,0.22110242,0.18919773,0.16213967,0.1440975,0.14104189,0.1594886,0.1993823,0.25112745,0.3004421,0.33752808,0.36014906,0.3699787,0.36530045,0.343457,0.30538008,0.26230386,0.22959846,0.2189792,0.23009185,0.25197724,0.2701598,0.27372077,0.26012847,0.23366512,0.20386559,0.18108791,0.17437732,0.18766338,0.2180865,0.25548923,0.2869304,0.30260023,0.30018613,0.2837368,0.25875,0.22933668,0.19853948,0.1730606,0.16313599,0.17873271,0.22054036,0.27809492,0.33422446,0.3759904,0.39832154,0.40227306,0.38845065,0.3587087,0.31977317,0.28623593,0.27308944,0.2865172,0.31935713,0.35624668,0.38299462,0.39110744,0.37827447,0.34591666,0.30091444,0.25533393,0.22337538,0.21459587,0.2292012,0.2602256,0.29800072,0.33742058,0.37762582,0.42036805,0.46299353,0.49847817,0.51795465,0.5174814,0.49964154,0.47144952,0.439248,0.40598157,0.3717482,0.3363223,0.30124143,0.2690951,0.24248569,0.22237606,0.20902961,0.2021517,0.20165868,0.20674972,0.21562503,0.22546424,0.23311965,0.23641108,0.23500107,0.23055452,0.22513206,0.2199325,0.21528529,0.21157426,0.20880407,0.20586269,0.20132534,0.19574197,0.19164973,0.19120891,0.194381,0.20043863,0.20976327,0.22321762,0.23980446,0.2560058,0.26744545,0.27050662,0.2631273,0.24514674,0.21907566,0.18948053,0.16102886,0.13711952,0.12057069,0.114397734,0.11969924,0.13257767,0.14487128,0.14950399,0.14563137,0.13750227,0.12938866,0.12109027,0.109608166,0.092864275,0.07309052,0.054869715,0.042360548,0.03695689,0.03927873,0.051138382,0.07457345,0.107143305,0.13901289,0.1574424,0.15538138,0.13633542,0.11032048,0.08619213,0.06748242,0.05377167,0.04375915,0.036751226,0.032439746,0.030393094,0.029838815,0.029865235,0.029707154,0.029097931,0.028227126,0.02752277,0.027225995,0.027295766,0.027431386,0.027327016,0.026782177,0.025803393,0.024538042,0.023194397,0.02191814,0.020768965,0.01976287,0.018928476,0.01830463,0.01796182,0.018261328,0.02017983,0.025270045,0.034469724,0.04672332,0.058476713,0.06562742,0.06591301,0.06028695,0.051574633,0.0425982,0.034904968,0.029051067,0.02514326,0.023138767,0.022784963,0.023602327,0.025054382,0.026668705,0.028098376,0.029051619,0.029321663,0.028782954,0.027448997,0.025447795,0.023081062,0.020791257,0.019092074,0.018334812,0.018557148,0.019441277,0.020486036,0.021190362,0.021222882,0.020486834,0.019142492,0.017544257,0.016131034,0.015324835,0.015463238,0.01677148,0.019287726,0.022831557,0.027026841,0.031440783,0.035689477,0.03945635,0.04243366,0.044278428,0.04467852,0.04341078,0.040426243,0.03588256,0.030326389,0.02617049,0.029530486,0.051535044,0.10263604,0.18477054,0.2847678,0.38205898,0.46025097,0.5161998,0.554609,0.5803254,0.59448767,0.5979553,0.59361655,0.58402187,0.5679063,0.5395263,0.49410364,0.4330038,0.3662779,0.30725762,0.2656689,0.24242498,0.23203947,0.22934218,0.23528995,0.2556992,0.29175803,0.33252558,0.35706905,0.35001042,0.31278384,0.26367897,0.22232278,0.19984084,0.19693881,0.21327476,0.24919547,0.30408153,0.36952344,0.43269005,0.4812119,0.51128393,0.5275777,0.54048157,0.5588936,0.5850896,0.6145573,0.64000225,0.6565306,0.66135246,0.6516841,0.6238249,0.5773979,0.5191542,0.46121573,0.41357636,0.37940872,0.35700214,0.34625039,0.3490696,0.36609864,0.39200166,0.41855392,0.43803748,0.445707,0.4371824,0.40899062,0.3631712,0.31181034,0.27463505,0.26767662,0.29384828,0.34046748,0.38630378,0.410025,0.39823058,0.3514445,0.28503874,0.22358078,0.18788476,0.18635403,0.21210568,0.25003308,0.2834939,0.30167243,0.3023745,0.2924254,0.28321078,0.28361258,0.29496792,0.3111756,0.3229822,0.32378864,0.31220463,0.2943844,0.2799502,0.2761916,0.28001642,0.27960894,0.26544964,0.24216406,0.23023687,0.25077793,0.3102565,0.39201453,0.46836233,0.5135451,0.51700526,0.48124596,0.42028728,0.35190824,0.29542038,0.26545477,0.2711518,0.31130835,0.37381014,0.43568325,0.47529283,0.48364636,0.46960565,0.4487106,0.43077576,0.4168097,0.40625933,0.40320602,0.41203108,0.43126595,0.4522537,0.46568894,0.4658978,0.4504074,0.41734752,0.3682338,0.31182486,0.26501104,0.24311875,0.25026956,0.27595893,0.30414867,0.3254777,0.34089026,0.35697553,0.37617514,0.39733794,0.41888604,0.44327852,0.47097126,0.49600056,0.50750667,0.5001535,0.47971186,0.45898116,0.44712296,0.44474804,0.44620657,0.44622564,0.44285294,0.437245,0.43082312,0.42345893,0.41341436,0.39888915,0.37983975,0.3579524,0.33585978,0.31570604,0.2988598,0.28553763,0.27528155,0.267478,0.26204503,0.25933084,0.25944427,0.26179096,0.26505625,0.26799837,0.2707992,0.2759866,0.2869501,0.3040314,0.3218746,0.33188608,0.32827368,0.31221828,0.2902667,0.26988748,0.25571826,0.25120294,0.26079223,0.29279482,0.35173404,0.4325132,0.5151949,0.5785033,0.61054045,0.6160972,0.60485214,0.5833688,0.55171585,0.5127626,0.47253194,0.43768176,0.4057847,0.37125197,0.3308941,0.29186866,0.26459354,0.2562781,0.26431194,0.27840126,0.28670523,0.28507152,0.27941763,0.27977407,0.2896551,0.30446085,0.31716433,0.3256527,0.33182168,0.33825386,0.34616196,0.35692725,0.37115315,0.38539544,0.3915511,0.3819557,0.35714957,0.3258405,0.29887828,0.28090978,0.2705371,0.26405486,0.26059666,0.26108614,0.2656488,0.27067825,0.27095762,0.26304507,0.24832265,0.2310916,0.21552783,0.20342462,0.1964851,0.1994884,0.21978657,0.26155102,0.31844568,0.3752422,0.41587624,0.43407473,0.4335755,0.42371926,0.41252723,0.40572873,0.40610722,0.41405168,0.42620537,0.43670905,0.43931603,0.43133226,0.4147956,0.39504912,0.37702194,0.36258355,0.35147116,0.34287998,0.33781704,0.33653513,0.33781227,0.3372034,0.3313956,0.31937608,0.30338517,0.28505033,0.26517275,0.24571194,0.23348852,0.23755093,0.26187968,0.29910934,0.3343279,0.3549392,0.35780227,0.347792,0.33197236,0.31623366,0.30429232,0.29795563,0.2965468,0.2981851,0.30079272,0.30337223,0.30482242,0.30408034,0.2996666,0.2912422,0.28069818,0.27443632,0.28362992,0.31884512,0.38220504,0.4619414,0.5398615,0.6001505,0.635536,0.6408882,0.6118863,0.549015,0.4675051,0.39507172,0.35759744,0.3623244,0.39441326,0.42945245,0.44951296,0.45047617,0.43815032,0.42044866,0.40306178,0.38845614,0.37737814,0.36892486,0.3613151,0.35151577,0.33772483,0.32104194,0.30715576,0.30228296,0.30865616,0.3212843,0.33238462,0.33730567,0.3379334,0.3386391,0.34093368,0.34172127,0.3372297,0.32654977,0.3119925,0.29575786,0.27960122,0.26561794,0.2589669,0.26462916,0.28373647,0.3101593,0.3345606,0.35040298,0.3573222,0.35935894,0.3602326,0.36192632,0.36461124,0.36866555,0.37471446,0.38280126,0.39103368,0.39527392,0.39180064,0.37946987,0.36055338,0.33856273,0.31698793,0.29896486,0.28744614,0.2836916,0.28601637,0.2898623,0.2914251,0.2903488,0.29033616,0.2942005,0.30060565,0.3041885,0.30136368,0.293444,0.28545308,0.28099915,0.2794735,0.2768071,0.26906908,0.25526413,0.23812337,0.2216926,0.20899647,0.2007926,0.19707565,0.19796808,0.20316218,0.21060012,0.2164368,0.21737474,0.21220668,0.20215695,0.19005333,0.18197314,0.18966867,0.22909252,0.31060585,0.4276398,0.5532789,0.65357757,0.7043341,0.7031633,0.66282105,0.60147685,0.5326177,0.4678177,0.4185996,0.39643487,0.40513048,0.43640527,0.47271314,0.49640456,0.49881288,0.48228845,0.45680943,0.43307522,0.41871843,0.4177595,0.43053183,0.45275128,0.47365043,0.48146525,0.46928272,0.44042942,0.40375265,0.36845055,0.3405496,0.32415044,0.32399654,0.34355494,0.38307312,0.43444884,0.4833846,0.513998,0.51877165,0.50234383,0.47785285,0.45835665,0.45068845,0.45616555,0.4717038,0.4905196,0.50253636,0.49912572,0.47950813,0.45217752,0.42985773,0.4195076,0.41748157,0.41327652,0.39963496,0.378831,0.35842335,0.34424052,0.33682457,0.33664227,0.34541526,0.36421642,0.38635626,0.39938533,0.3912047,0.36032212,0.3165603,0.2756327,0.24924128,0.24023823,0.24341017,0.24996643,0.2522221,0.24691802,0.2370773,0.23202692,0.24362928,0.27912605,0.33423984,0.39312968,0.43724895,0.45571247,0.44998145,0.4294877,0.40503415,0.38454175,0.37288663,0.37326398,0.38625583,0.40846315,0.43142965,0.44568095,0.44523767,0.4314331,0.41112843,0.39305043,0.38205242,0.37669873,0.3702024,0.35648468,0.33482787,0.30973926,0.28701293,0.2707127,0.26531336,0.27579603,0.30615258,0.35378656,0.41120717,0.469547,0.52413374,0.5719437,0.60879254,0.6272173,0.6222391,0.5971647,0.5657746,0.54461163,0.54226184,0.5544055,0.56890935,0.575782,0.5715411,0.557847,0.5369769,0.5110802,0.48248944,0.45426336,0.42864725,0.40697655,0.39153668,0.38690427,0.39755645,0.42291903,0.45508286,0.48285308,0.49675322,0.4933503,0.4731404,0.4408013,0.4050797,0.38221875,0.3927039,0.4481821,0.53856283,0.6302802,0.6891594,0.70030385,0.6757415,0.636277,0.59768254,0.5636857,0.53486913,0.51081157,0.49406555,0.48313475,0.4761248,0.46654806,0.4510137,0.42642498,0.39660487,0.3682029,0.35056296,0.34806025,0.35829082,0.37315717,0.38364062,0.38433754,0.3738602,0.35523173,0.33335033,0.31339005,0.29714027,0.2835859,0.27058423,0.2595055,0.2530932,0.25404486,0.2599016,0.2672203,0.27242267,0.27570137,0.27738428,0.27742586,0.27507326,0.27076367,0.2670364,0.26614937,0.26888272,0.27289644,0.27467966,0.27121487,0.26218966,0.24998814,0.23803277,0.22927119,0.22516446,0.22620039,0.23090552,0.23640311,0.2388692,0.23679687,0.23126657,0.22545874,0.2212851,0.2204144,0.22647084,0.24926378,0.29966068,0.38128364,0.48059344,0.5728085,0.6340855,0.65610665,0.64559823,0.6180291,0.5871389,0.5617151,0.54358655,0.5309189,0.5196771,0.5069126,0.49010292,0.46822682,0.44209972,0.41528758,0.39231727,0.3758805,0.36597896,0.36132503,0.36139408,0.36607885,0.37398314,0.38140783,0.3834362,0.37639096,0.35937765,0.3348988,0.30958286,0.29445365,0.30357245,0.34430352,0.41018602,0.47662282,0.5176146,0.5193303,0.49421242,0.46713004,0.46170136,0.4802535,0.50896263,0.5266065,0.52258486,0.49886703,0.4671795,0.43872932,0.42005804,0.4132215,0.41831934,0.43414548,0.4549643,0.47094694,0.47210458,0.45575535,0.4274074,0.39620912,0.36753738,0.34091833,0.31406274,0.2868919,0.26268756,0.24272902,0.22685683,0.21614797,0.22016586,0.2505727,0.31030563,0.3829626,0.44165263,0.4662256,0.4568561,0.42995396,0.40380147,0.38837802,0.38513532,0.39522862,0.42199263,0.4675171,0.5240475,0.57392293,0.59727246,0.5837045,0.53706366,0.47195205,0.40614548,0.35417017,0.3250192,0.3205556,0.33586976,0.35965887,0.37993208,0.38907984,0.38742387,0.3796401,0.37006584,0.36049232,0.3519281,0.3469442,0.34784356,0.3538916,0.3604628,0.36386058,0.36589316,0.37388965,0.39355287,0.42270216,0.45082667,0.46725085,0.4680976,0.45774078,0.44285914,0.42747095,0.4124523,0.39834794,0.38711238,0.38009694,0.37615457,0.37164474,0.36413875,0.3546586,0.34737492,0.34561786,0.34947255,0.35540485,0.35912383,0.35741165,0.34949782,0.33629224,0.32098135,0.30857846,0.3054001,0.31501964,0.33571485,0.3602364,0.38087678,0.39361838,0.3996776,0.402681,0.40606734,0.41211534,0.4228888,0.44027677,0.46445093,0.49193677,0.5163705,0.5318304,0.53597873,0.53027076,0.5173633,0.49996722,0.48085892,0.46388957,0.45106205,0.44014785,0.4242742,0.39823517,0.36441645,0.33512378,0.3263446,0.34741378,0.39366448,0.4475595,0.491037,0.5152707,0.5238745,0.52385944,0.52053905,0.5166464,0.51626843,0.52303654,0.5360451,0.5489115,0.5546828,0.5513399,0.5408645,0.52625805,0.5084189,0.48933437,0.47124648,0.45786026,0.4501368,0.44873747,0.45138517,0.45546386,0.45633316,0.45164108,0.44100046,0.42665425,0.41207564,0.40233243,0.40452787,0.42226255,0.4522008,0.4829093,0.50735825,0.5305934,0.56776136,0.6250517,0.6875918,0.7274887,0.72693676,0.6936581,0.6502984,0.6163764,0.5943949,0.5783233,0.5609426,0.54153204,0.52147555,0.5027247,0.48605588,0.47099647,0.45600083,0.43822452,0.41591874,0.3917733,0.3708767,0.3594772,0.35673413,0.35957876,0.36042508,0.35671726,0.34555244,0.32981458,0.31147435,0.2964296,0.2871932,0.2871145,0.2974538,0.32267335,0.36444697,0.41915894,0.4740939,0.5156476,0.5366313,0.53931683,0.52952415,0.51018184,0.48235217,0.44860068,0.4163488,0.3919922,0.37719738,0.36730263,0.3577124,0.34728062,0.33853257,0.3335327,0.33196062,0.3317312,0.3314763,0.33150232,0.33302012,0.33604828,0.33904836,0.3397901,0.33744046,0.33280456,0.32757518,0.3232746,0.32122618,0.32412335,0.33529666,0.35722694,0.38715312,0.41794696,0.4405798,0.45018837,0.44745228,0.43831727,0.43008006,0.42722774,0.42862248,0.42813513,0.42048243,0.40455472,0.3848811,0.36674067,0.3553493,0.3547138,0.36972415,0.40242574,0.44879285,0.4971273,0.53531265,0.55815995,0.5709872,0.58227366,0.5970854,0.61228985,0.62188584,0.62058836,0.6084346,0.58725864,0.5593041,0.52387494,0.48063728,0.43065596,0.3787252,0.33002147,0.2884558,0.2548678,0.22923964,0.21149711,0.2033798,0.20891456,0.23616715,0.28960082,0.36187115,0.42593077,0.4526408,0.42973867,0.37808275,0.3299818,0.30637264,0.30009654,0.29546165,0.28716207,0.28721595,0.3069673,0.34241435,0.37620696,0.39389446,0.39390054,0.38338265,0.3669699,0.34576547,0.32318366,0.31143335,0.32375297,0.36342692,0.41701248,0.46205172,0.47999445,0.46539816,0.42627513,0.37705496,0.33147374,0.2971454,0.2763966,0.26883188,0.27387917,0.2895048,0.3103238,0.32902762,0.33988297,0.34188032,0.33701214,0.3283675,0.31834543,0.3098313,0.30553362,0.3072779,0.31403515,0.32225943,0.32699373,0.32426488,0.3126249,0.29393756,0.27303466,0.2570807,0.2547225,0.27400085,0.318148,0.3807348,0.44605684,0.49647403,0.5230084,0.5288183,0.5248111,0.5214598,0.5246515,0.53467506,0.54746455,0.55653834,0.5557231,0.5404615,0.50840217,0.4605238,0.40232232,0.3418111,0.2854675,0.23770155,0.20429981,0.1931594,0.20769733,0.23979767,0.27169108,0.28681716,0.2787675,0.25232768,0.2174973,0.18473135,0.1615813,0.15290238,0.16044603,0.18555598,0.22634256,0.27687147,0.3235973,0.35369477,0.3598453,0.34509435,0.3160455,0.2794723,0.24049298,0.20436718,0.1758136,0.15672095,0.14574228,0.13955785,0.13530345,0.13141064,0.12752287,0.12375904,0.12014669,0.11656409,0.11291482,0.10944918,0.10651776,0.104187556,0.101895876,0.0987525,0.09414509,0.08937033,0.08937156,0.103907555,0.14267851,0.2076114,0.28583312,0.35515985,0.39604735,0.40351155,0.38650486,0.3601135,0.3363491,0.32076383,0.3132111,0.3108507,0.3106489,0.31066418,0.30938077,0.30489293,0.29532933,0.28070295,0.26378518,0.24839795,0.23681927,0.22881222,0.22304106,0.21872121,0.21570908,0.2137415,0.21198623,0.210059,0.2084471,0.20808512,0.20938821,0.2139541,0.22744451,0.25886807,0.31333664,0.3839685,0.4528172,0.50178677,0.52382046,0.52442294,0.5142203,0.50125855,0.4886146,0.4764364,0.46452805,0.45311746,0.4421735,0.43075678,0.41770753,0.40322337,0.3889933,0.37678918,0.36657798,0.35695398,0.34668568,0.3362647,0.32721102,0.32071844,0.31627393,0.31221417,0.3068476,0.29984373,0.2920296,0.28553936,0.28347278,0.29040694,0.30888006,0.3366468,0.3642541,0.3814771,0.38271904,0.37107262,0.35292485,0.33368948,0.31505287,0.29740736,0.28128085,0.2676864,0.2571334,0.24929242,0.24344109,0.23903568,0.23606019,0.23453335,0.23423605,0.23450358,0.2349652,0.23580974,0.23765434,0.24055229,0.24346326,0.2446879,0.24318583,0.239419,0.2350049,0.23110275,0.22817957,0.22718608,0.23265372,0.25111043,0.28655416,0.33331445,0.37828413,0.4080943,0.41895947,0.4161285,0.40879908,0.4032756,0.40197194,0.40451357,0.4092592,0.4142495,0.41764116,0.41891095,0.41862166,0.41821685,0.418546,0.41960716,0.42057276,0.4207081,0.4196744,0.4176211,0.41502848,0.41258872,0.41092518,0.40997338,0.40871802,0.4055996,0.3997568,0.39243498,0.3868889,0.38722873,0.39496043,0.40773702,0.41937682,0.4243003,0.42019495,0.40925643,0.39569172,0.38331613,0.37411186,0.36787638,0.3632342,0.3584064,0.35244393,0.3451321,0.33693168,0.32847646,0.32041848,0.31312397,0.3065791,0.30057275,0.29507914,0.29050946,0.2875465,0.28653422,0.28688923,0.28715873,0.28590167,0.2825317,0.27749494,0.271235,0.26389682,0.25573975,0.24988689,0.2518652,0.26679602,0.29253924,0.3196758,0.336148,0.33701357,0.32616666,0.3135551,0.30705944,0.30920413,0.31632194,0.32259023,0.32373646,0.31940684,0.311873,0.30355194,0.2956362,0.28889588,0.2842158,0.28222355,0.28230408,0.28296575,0.28301302,0.2821311,0.28045976,0.27786008,0.27392256,0.26848254,0.2617694,0.2538737,0.2449313,0.23549034,0.22834797,0.22688347,0.23356445,0.24661402,0.26186082,0.27515325,0.28498796,0.29186073,0.29630765,0.29856062,0.29884532,0.29791728,0.29665318,0.2953267,0.29426166,0.29369846,0.29401588,0.2949799,0.2958994,0.29618123,0.29562435,0.29437304,0.2929139,0.29169825,0.29121158,0.2907916,0.2891879,0.28476644,0.27696934,0.26618674,0.25367102,0.24106456,0.23064016,0.2251736,0.22672285,0.23513699,0.24723415,0.2591486,0.26848185,0.27590993,0.28306377,0.2908229,0.29840145,0.3041323,0.30656087,0.3044248,0.29749477,0.28638664,0.27303672,0.2593888,0.24696982,0.23660038,0.2290472,0.22504567,0.2248715,0.22823419,0.23456521,0.24332578,0.25329876,0.26233652,0.267898,0.26860806,0.26473972,0.25742063,0.24768005,0.23603989,0.22328235,0.21037613,0.19840015,0.18797125,0.17927437,0.17252165,0.16788192,0.16566841,0.16569586,0.16755456,0.1707232,0.17508899,0.18125622,0.1898893,0.20112997,0.21352088,0.22520049,0.23493135,0.24339719,0.25170743,0.26047918,0.26905015,0.27677456,0.28324208,0.2885443,0.29276553,0.29571164,0.29684365,0.2946681,0.28776607,0.27471927,0.25708196,0.24069904,0.23802654,0.26161656,0.31586313,0.38888845,0.4593881,0.5087352,0.5326168,0.5382879,0.53688675,0.53499097,0.53424,0.5328441,0.52942735,0.523446,0.516159,0.5085905,0.5016688,0.4949356,0.48797345,0.48004353,0.47097147,0.460484,0.44889832,0.4370477,0.42608467,0.4163988,0.40736,0.39801887,0.38815126,0.3781086,0.36824825,0.3593097,0.35357141,0.3554126,0.36755583,0.38804796,0.4086236,0.42140916,0.42322552,0.4180217,0.41048065,0.40254632,0.39223087,0.37783778,0.36005083,0.34155127,0.32485744,0.31099364,0.30010855,0.29172608,0.28568998,0.2816179,0.27966014,0.27915287,0.2793862,0.27926004,0.2791402,0.27985886,0.28211644,0.2850728,0.28731206,0.28778154,0.28625363,0.28289238,0.27881134,0.27766848,0.2871091,0.31475627,0.3624148,0.4197209,0.47008976,0.4992498,0.50631326,0.4999064,0.49193835,0.48778096,0.48728225,0.4871916,0.48597932,0.48362276,0.48068914,0.47718593,0.47290036,0.46818182,0.46379152,0.46059063,0.4587363,0.45784792,0.4573569,0.45700517,0.45677832,0.45613238,0.4541233,0.4494858,0.44192186,0.4319551,0.42124185,0.41230926,0.40884113,0.41509578,0.43221298,0.45575428,0.47514784,0.48117766,0.47088948,0.44986925,0.42554677,0.402962,0.3828635,0.36521468,0.35117295,0.34286475,0.3410621,0.34376216,0.34732887,0.3487657,0.34744713,0.34456602,0.34166685,0.33951756,0.33819655,0.33774933,0.33807036,0.33881995,0.33883753,0.337337,0.33404496,0.33013335,0.3266481,0.32412603,0.32202402,0.32079253,0.32381162,0.33614123,0.36032972,0.39138508,0.41927645,0.43509996,0.4374323,0.43111423,0.42209935,0.41363955,0.4053743,0.3960236,0.38450122,0.37211493,0.36125192,0.354357,0.3514615,0.35087153,0.35079202,0.3509049,0.3519605,0.35449645,0.35813913,0.36207262,0.3653153,0.36712635,0.36685088,0.36417195,0.35942185,0.35297236,0.34558395,0.33779153,0.33108723,0.3272566,0.3277801,0.33257112,0.3397536,0.34701714,0.35237083,0.354718,0.35364532,0.34959254,0.34411892,0.33894944,0.3350825,0.33222857,0.329599,0.32674924,0.3236854,0.32051829,0.31736553,0.31417874,0.31090763,0.3071393,0.30262902,0.29758465,0.2926633,0.28840828,0.2847081,0.28101847,0.27697697,0.27240726,0.2676933,0.26344478,0.26137564,0.26365605,0.27235222,0.28722665,0.30531383,0.3213236,0.3311577,0.3332839,0.32963267,0.32257423,0.31413543,0.30528197,0.29721358,0.29146934,0.28914735,0.29024652,0.29316607,0.29569304,0.29570523,0.29210472,0.2847599,0.27477267,0.26440564,0.25753808,0.2586567,0.27049968,0.29081926,0.31177366,0.32383856,0.3216817,0.30681348,0.2856169,0.26472232,0.25000486,0.24614562,0.2575152,0.2837143,0.31848755,0.34972206,0.3676826,0.36873773,0.3574517,0.34060296,0.3245442,0.3127456,0.3071631,0.30784318,0.31316897,0.31974044,0.32389462,0.32317582,0.31790257,0.31024346,0.30270424,0.2964314,0.29272032,0.29550955,0.31148043,0.34488842,0.39063123,0.43355727,0.4568387,0.4532765,0.43005493,0.40307412,0.3877672,0.39318433,0.42275855,0.4754913,0.5453298,0.61773294,0.675247,0.7030907,0.70181704,0.6802015,0.6547895,0.63384503,0.6211508,0.6131397,0.60706145,0.6030869,0.59927374,0.59303176,0.5773698,0.55247605,0.52476305,0.5036432,0.49493542,0.49311054,0.49363184,0.49054742,0.48917004,0.49010468,0.49560657,0.4995768,0.5018143,0.5021561,0.5062514,0.51525205,0.52998996,0.5472725,0.5655341,0.58263814,0.59741515,0.60713416,0.60763437,0.59514403,0.5692942,0.53537273,0.5016915,0.47572687,0.46050954,0.45503092,0.45579395,0.45909968,0.46180058,0.46281824,0.46331826,0.46592346,0.47158167,0.47707495,0.47633222,0.46551955,0.44793013,0.43313372,0.42918897,0.43693033,0.4499279,0.46281293,0.47352752,0.4814359,0.4810504,0.46683323,0.4401821,0.41497874,0.40844202,0.42948285,0.47068098,0.5132945,0.53810483,0.5355703,0.50949484,0.47308803,0.44101045,0.4220204,0.41680348,0.42020857,0.42532587,0.42605707,0.4204484,0.41091287,0.403769,0.40224195,0.40477383,0.40502766,0.40059587,0.39481494,0.39519083,0.40514615,0.42123854,0.43574405,0.442469,0.43977866,0.42879227,0.41094443,0.38752857,0.3624805,0.34390798,0.3429133,0.3668619,0.4129313,0.46481892,0.500686,0.5060505,0.4840392,0.45155215,0.42618927,0.41484284,0.41403452,0.41741288,0.42203858,0.42724344,0.43212923,0.4341079,0.4305931,0.41953567,0.39967307,0.37170258,0.3398582,0.3126705,0.30008945,0.30721173,0.32995436,0.35519183,0.37144187,0.37586415,0.37665296,0.382187,0.3960971,0.41691706,0.44499043,0.48088184,0.5206793,0.5529759,0.56690484,0.5601399,0.54067135,0.51831925,0.49850821,0.48083535,0.46343377,0.4457325,0.42998433,0.41939446,0.41540456,0.41462588,0.41026965,0.39653358,0.3731798,0.3455445,0.32098386,0.30456448,0.2969528,0.29523897,0.29543176,0.2951688,0.29421845,0.29371375,0.29428482,0.2958559,0.29794335,0.30133483,0.3090143,0.32616198,0.35646307,0.39819217,0.44186416,0.47578883,0.49207807,0.4917128,0.48022866,0.4638059,0.4460696,0.43178365,0.4285713,0.44500875,0.48329052,0.5346771,0.5828647,0.61351734,0.62221104,0.61356425,0.5958368,0.5751936,0.55577993,0.53976536,0.5279326,0.51795125,0.5062134,0.4902334,0.47119164,0.45238754,0.4371017,0.426298,0.41972363,0.4163485,0.41662815,0.4200665,0.42518353,0.4276764,0.42509487,0.41735408,0.407163,0.39624175,0.38588288,0.37820005,0.37694466,0.38453934,0.3984348,0.41067103,0.41275024,0.40217778,0.3844658,0.36785784,0.35680318,0.35029414,0.34622645,0.3444904,0.34672722,0.35315308,0.36202326,0.36993828,0.37413886,0.37332082,0.36917922,0.364887,0.36325884,0.36524823,0.37109256,0.38202438,0.39799783,0.416454,0.4313108,0.43866178,0.43690872,0.4275633,0.41142094,0.3915023,0.3738055,0.3675822,0.3805519,0.41335845,0.45717898,0.49609795,0.51665807,0.5151165,0.4989343,0.4788858,0.46213675,0.45023823,0.44280112,0.4401931,0.4428791,0.44875237,0.4532285,0.45158222,0.4436946,0.4323952,0.42261383,0.41600528,0.4161903,0.4292393,0.46540818,0.5268898,0.60181737,0.66642624,0.7013123,0.7032779,0.68357205,0.65733224,0.6332925,0.6133609,0.59643054,0.5819908,0.57209843,0.5656584,0.560024,0.5481272,0.52740854,0.49916837,0.4690841,0.44322038,0.4242458,0.4181899,0.43026614,0.46708345,0.5216314,0.578904,0.6203807,0.6394761,0.63801867,0.61896247,0.5812525,0.5275447,0.4713613,0.43251142,0.42302236,0.43926993,0.46553552,0.48531136,0.48783863,0.4705999,0.43824968,0.40048072,0.36839437,0.34887835,0.3428705,0.34505376,0.3482225,0.34658372,0.3397307,0.3329017,0.33320096,0.34414443,0.3621345,0.38019145,0.39347193,0.40331805,0.41338015,0.4247514,0.43330157,0.4344544,0.42692694,0.41378835,0.39825365,0.3827213,0.36995205,0.36592114,0.37723586,0.40632358,0.44711646,0.4875547,0.51644367,0.529488,0.5301137,0.5249327,0.5199225,0.5189032,0.5241387,0.53611046,0.55195236,0.5662062,0.57277745,0.56879705,0.5546158,0.53363544,0.5095768,0.48662052,0.46752504,0.4544222,0.44796252,0.4479731,0.45220968,0.45674023,0.45847806,0.45857382,0.4622041,0.473873,0.492455,0.5128414,0.52987194,0.5418803,0.54703265,0.5421322,0.5233105,0.49125668,0.4517914,0.41301593,0.3807312,0.3565742,0.33986008,0.32968378,0.3264193,0.3298682,0.3376596,0.3450255,0.34759185,0.3445802,0.33876035,0.33482096,0.33705732,0.35033426,0.37927437,0.4252847,0.48226443,0.53706723,0.5768358,0.5952753,0.5956444,0.58487386,0.5701642,0.5545661,0.5402021,0.52914816,0.52579737,0.5321731,0.5451191,0.5556163,0.5551822,0.5409022,0.5167078,0.49019423,0.46865144,0.45690358,0.4558567,0.46355808,0.4761671,0.48934317,0.49873772,0.5009086,0.49461067,0.4810389,0.4633175,0.44546208,0.4319323,0.4268743,0.43301582,0.44995925,0.47382894,0.498178,0.5174835,0.529367,0.53529865,0.53762156,0.5376375,0.5353296,0.53143734,0.5281873,0.5268163,0.52568144,0.5197029,0.5069914,0.4908087,0.4805514,0.48082975,0.48867592,0.4926243,0.48548675,0.468994,0.45368066,0.44841662,0.45455083,0.46762797,0.482903,0.4996164,0.51667625,0.52996117,0.5311001,0.5151904,0.48506534,0.45218185,0.42806843,0.4182448,0.41806746,0.41854882,0.4109868,0.39462975,0.37496996,0.36330676,0.3691305,0.3963298,0.4381509,0.480023,0.5073455,0.5135482,0.50257784,0.4835801,0.46494582,0.45145607,0.44499743,0.44720873,0.45890927,0.47890377,0.5014636,0.51801604,0.52091855,0.5073231,0.48096994,0.44988406,0.423323,0.40625224,0.39814833,0.39340326,0.3869256,0.3761382,0.36294773,0.3515632,0.34850463,0.35902742,0.38430414,0.41857943,0.45314565,0.4815483,0.50347644,0.52114373,0.53557104,0.54356647,0.541516,0.52838784,0.5093295,0.4919351,0.48233426,0.4805731,0.48337802,0.48705614,0.49035522,0.49243346,0.49241424,0.48890665,0.4820706,0.47225818,0.4600943,0.44484258,0.4279429,0.41392195,0.41079178,0.4243621,0.45284387,0.48659673,0.5122177,0.52284575,0.5186743,0.5065823,0.4910979,0.47800657,0.47691515,0.5005912,0.5526319,0.6159675,0.66426325,0.6774397,0.6594284,0.6248068,0.5924237,0.5692666,0.55844337,0.5547958,0.5549774,0.55492514,0.55412644,0.5517797,0.545074,0.53103995,0.5076243,0.4775939,0.44614193,0.41802296,0.3968589,0.38197055,0.3737131,0.36804783,0.3638327,0.35683966,0.34770608,0.33504784,0.3209883,0.30559757,0.291322,0.27932322,0.2709078,0.26570907,0.26205313,0.25862217,0.25378522,0.24773185,0.24014623,0.23266904,0.22682361,0.22605592,0.23331042,0.2511463,0.27820736,0.30911753,0.3354801,0.3510363,0.35449913,0.34972945,0.341778,0.33459672,0.32973635,0.32828048,0.3303553,0.33546123,0.34068683,0.34251535,0.33813798,0.32785332,0.31405494,0.30019394,0.29087013,0.29410255,0.32174468,0.3820001,0.47054043,0.566112,0.6424071,0.6812286,0.68169683,0.65396744,0.6123046,0.5686244,0.5319003,0.5065028,0.4924952,0.48618636,0.48307666,0.47926447,0.4729693,0.4641423,0.45435834,0.44559738,0.43949655,0.4363911,0.43554094,0.43559083,0.43586883,0.436281,0.43693483,0.43666625,0.43331409,0.4246254,0.41091013,0.3962039,0.38831094,0.3948853,0.41842803,0.45181108,0.4805553,0.49081597,0.4793656,0.45573258,0.43526617,0.4275819,0.43158066,0.43953314,0.44539464,0.44870433,0.4520705,0.45705196,0.46296906,0.46928653,0.4774531,0.49008322,0.50724506,0.5245547,0.53455657,0.53200823,0.5167473,0.49278048,0.46350336,0.42958882,0.39096323,0.35017157,0.31301516,0.28401446,0.2649814,0.2560732,0.2630024,0.29391095,0.35242656,0.4249948,0.4869306,0.5153825,0.5069259,0.47513834,0.44064674,0.417114,0.40840173,0.41102567,0.42027688,0.4343554,0.45335838,0.4758692,0.49507037,0.50255007,0.4933429,0.47095713,0.4443355,0.4235486,0.41509405,0.42093143,0.4380568,0.45940173,0.47698435,0.48695037,0.49205112,0.49831438,0.5075119,0.5143642,0.5104579,0.49398592,0.47193632,0.4551234,0.44680122,0.4413999,0.43149373,0.41938436,0.41639778,0.43221974,0.46299472,0.49262285,0.50561404,0.49824205,0.47926787,0.45958695,0.4457438,0.4378202,0.43498436,0.4360447,0.44022202,0.4448322,0.44742823,0.44748294,0.4472605,0.4496566,0.4546676,0.4593636,0.459604,0.4537122,0.44192556,0.4253434,0.4048941,0.38348958,0.36766872,0.36456028,0.37642872,0.39648917,0.41399586,0.4217099,0.42074525,0.4164659,0.4131428,0.41284314,0.41856912,0.43552902,0.4664155,0.5066133,0.5441597,0.5673268,0.570096,0.55403197,0.52403235,0.48703584,0.44971356,0.41876233,0.39750132,0.38566408,0.37687978,0.36275426,0.3369539,0.3035169,0.27550995,0.2677667,0.28499863,0.3186407,0.3537977,0.38023964,0.3975649,0.41078475,0.42378166,0.43656167,0.4489579,0.4618193,0.47702828,0.49319234,0.50754184,0.5166089,0.5197317,0.51781243,0.5128773,0.50611633,0.496968,0.48387897,0.4662694,0.446431,0.42709038,0.4094371,0.39237782,0.37733456,0.36755025,0.366267,0.3713424,0.38010344,0.3927269,0.41425076,0.44605413,0.48241344,0.5135651,0.53645366,0.557277,0.5849803,0.6188368,0.648324,0.66014916,0.6531742,0.63661176,0.62549925,0.62586707,0.63431954,0.6413287,0.639735,0.62989956,0.61375755,0.5942101,0.5694037,0.5394736,0.50613934,0.47340798,0.44641912,0.425831,0.41280428,0.4027413,0.3963087,0.3910718,0.39025745,0.39054582,0.39086473,0.38579318,0.37641248,0.3631837,0.35180926,0.34635833,0.35616076,0.3860488,0.43549928,0.48907137,0.52909034,0.54364634,0.53691506,0.5196344,0.499765,0.47765326,0.4517423,0.42681193,0.4112189,0.41100144,0.4213742,0.43233323,0.4351702,0.4301132,0.4235567,0.4233614,0.43398717,0.45473877,0.48067498,0.5040695,0.5177273,0.51743466,0.5040384,0.48234665,0.4582641,0.43540284,0.41448125,0.39625588,0.38443685,0.38620734,0.40688574,0.4455819,0.49318746,0.537761,0.5689996,0.5808412,0.5707922,0.5409844,0.4993746,0.45711264,0.4221815,0.39567652,0.37369168,0.35342208,0.33488694,0.3210701,0.31529,0.32225013,0.34502557,0.38295949,0.42712995,0.46513823,0.48679733,0.49204984,0.48801112,0.48383084,0.4835622,0.48621377,0.48761618,0.48376796,0.47206393,0.4527736,0.4289018,0.40502867,0.3838435,0.36444178,0.34302077,0.31657457,0.28555074,0.25396445,0.22669782,0.2069725,0.19563489,0.1927097,0.19838172,0.21193792,0.22920676,0.24285406,0.2466482,0.24052285,0.23002966,0.22088891,0.21410088,0.20755146,0.20085597,0.19758993,0.2016455,0.2125582,0.22432017,0.2301479,0.22689112,0.21696419,0.20428754,0.19243526,0.18381827,0.18269771,0.19304092,0.21593912,0.2457943,0.2733614,0.28924152,0.28873053,0.2718151,0.24323486,0.20975684,0.17860018,0.15505822,0.14235209,0.14155644,0.15133531,0.16737528,0.18296869,0.19204168,0.19173272,0.18350083,0.17113161,0.15844835,0.14730155,0.13750386,0.12789641,0.117900155,0.108249344,0.10068969,0.09699557,0.09785837,0.10188141,0.10607466,0.107401736,0.105336696,0.10217657,0.102418095,0.110097796,0.12725608,0.15199614,0.17928058,0.20289506,0.21903627,0.22747093,0.23058753,0.2309259,0.23001309,0.22859333,0.22676314,0.22358076,0.21598387,0.20059198,0.17594874,0.14533833,0.11469931,0.0903748,0.07644379,0.07540224,0.0872897,0.108646095,0.13184233,0.14820695,0.15225194,0.14438343,0.1299059,0.11635027,0.109497815,0.11163386,0.12088158,0.13569278,0.15596537,0.18395726,0.21822043,0.25294003,0.2774168,0.28209987,0.2618842,0.2200939,0.16724408,0.11704441,0.079557665,0.057595965,0.04757535,0.043898057,0.042340945,0.041107222,0.039926667,0.03894547,0.03820047,0.037561297,0.036978688,0.036531378,0.036371782,0.03647237,0.03655374,0.036174133,0.035036955,0.033216517,0.03187175,0.0339373,0.04457916,0.06840164,0.10550245,0.14807186,0.18367554,0.20186949,0.20042934,0.18511225,0.1648371,0.14681478,0.13431223,0.12778185,0.12630779,0.12884724,0.13406189,0.13937916,0.14129157,0.13666172,0.12559414,0.11125394,0.098241426,0.08913789,0.08405497,0.081276,0.07917372,0.07691491,0.074916,0.07455652,0.07705333,0.08213978,0.087447345,0.09019535,0.08920309,0.086011946,0.083034806,0.081404656,0.07984876,0.07661993,0.07145219,0.06634975,0.06341857,0.06310416,0.0639653,0.06522096,0.06821144,0.075368404,0.08673956,0.09853365,0.10531882,0.10410508,0.09609375,0.08501046,0.07431138,0.06610441,0.06175946,0.062690146,0.069610156,0.08115283,0.093436,0.101789586,0.103443585,0.09873287,0.090260684,0.080888934,0.072811246,0.067501076,0.066142894,0.06904163,0.07493795,0.0807304,0.08315451,0.080556124,0.07397088,0.06579835,0.058367357,0.05320203,0.05189653,0.056418765,0.06782309,0.08418674,0.10034183,0.11069419,0.112661056,0.107823096,0.09985813,0.092060186,0.086582474,0.08546242,0.09094387,0.103915535,0.121661216,0.13799684,0.14652789,0.14457077,0.13411383,0.11965629,0.105230905,0.09339389,0.08565047,0.08320867,0.086313106,0.09337655,0.10080951,0.105076425,0.10479445,0.101495035,0.097777665,0.09545193,0.09492273,0.09626585,0.0999755,0.106344454,0.1141339,0.120311506,0.12181594,0.117734484,0.109772615,0.100673825,0.092477374,0.08646226,0.084114194,0.08737695,0.09695214,0.11063201,0.123386,0.13038021,0.12961455,0.12275264,0.11301438,0.10333446,0.09565354,0.09179049,0.09380796,0.103022575,0.118243255,0.13538115,0.14938203,0.15725704,0.15925837,0.15781337,0.15527101,0.15312737,0.1522947,0.15366775,0.15720622,0.16126232,0.1626891,0.15933424,0.1512782,0.14102249,0.13100144,0.122697294,0.11640724,0.11260908,0.11185453,0.11409097,0.117687054,0.11988315,0.11838464,0.1126345,0.103990436,0.09440735,0.085613124,0.0786297,0.07438188,0.0733638,0.075598575,0.07985859,0.08463601,0.0884046,0.09088241,0.09231064,0.09359572,0.09541192,0.098664224,0.10437522,0.1136598,0.12666853,0.14160012,0.15486489,0.16287738,0.16414703,0.16000205,0.15321554,0.14647344,0.1415353,0.1398804,0.1425628,0.14947973,0.15824024,0.16482298,0.16568242,0.1597929,0.14910217,0.13694729,0.12624414,0.11836338,0.11353022,0.11165311,0.11251787,0.115421146,0.11872696,0.12076249,0.12066269,0.11889082,0.116364926,0.11397469,0.11251443,0.11320007,0.11734027,0.12534378,0.135681,0.14516395,0.15052392,0.15027244,0.14537813,0.13830765,0.13151635,0.1265062,0.12415942,0.12532084,0.13051337,0.13887212,0.14733492,0.15217604,0.15118103,0.14534353,0.13749294,0.13024455,0.12449468,0.11994017,0.116191566,0.11315921,0.11088141,0.108908035,0.10644082,0.102499224,0.09644532,0.088331915,0.07899871,0.06991104,0.062349215,0.05721679,0.055095915,0.05710272,0.064298995,0.07638415,0.09019112,0.10087779,0.10465169,0.10112531,0.09285829,0.08313152,0.07419715,0.06707134,0.062648974,0.06242619,0.068235815,0.08039331,0.09614876,0.10992503,0.116384305,0.11347466,0.10338396,0.090358116,0.078096904,0.06826877,0.06084759,0.05513805,0.050833132,0.04858199,0.049685314,0.05488403,0.06322445,0.071973175,0.07821509,0.08039344,0.07905036,0.07578056,0.07218721,0.06905558,0.06655008,0.06448672,0.062659465,0.061013296,0.059742015,0.059397206,0.060495716,0.06297503,0.065709434,0.06701649,0.065704204,0.06180423,0.056375157,0.050630603,0.045448426,0.041185547,0.037897576,0.035364855,0.033277128,0.031361997,0.029485442,0.027678905,0.026060058,0.025126219,0.025727706,0.029006312,0.035183847,0.043112334,0.050197795,0.054306608,0.05463851,0.052171003,0.04819639,0.043785382,0.03935313,0.035207823,0.031540174,0.028525978,0.026186751,0.024469702,0.023283988,0.022538366,0.022170877,0.022094669,0.02223441,0.022470543,0.022727534,0.022929518,0.023071704,0.023421729,0.024817288,0.028829241,0.03667638,0.048072044,0.060227815,0.06958242,0.07364011,0.07274845,0.06890532,0.0644095,0.060383454,0.057061467,0.054188337,0.0515848,0.049143583,0.046812683,0.044535447,0.04228595,0.04008664,0.037974134,0.03597459,0.034061354,0.03218614,0.030297035,0.028396228,0.026542813,0.024826445,0.023313215,0.022007883,0.020880288,0.019882299,0.0189763,0.018106569,0.017225906,0.016295344,0.015317045,0.014302938,0.013280007,0.01226602,0.011286974,0.010362938,0.009523948,0.008792378,0.008184508,0.007690636,0.0072906055,0.006954072,0.006663894,0.0064088055,0.0061907857,0.006004968,0.0058435374,0.0056910603,0.0055392305,0.005389401,0.0052561336,0.005156645,0.005097549,0.0050656404,0.0050338176,0.0049785227,0.004894516,0.0047999825,0.004723529,0.0046829693,0.004665359,0.004632952,0.0045440085,0.0043807416,0.004154108,0.0039027706,0.0036712813,0.0034938788,0.0033714974,0.0032791218,0.00318281,0.0030672692,0.002935195,0.0027995242,0.002666591,0.0025412485,0.0024211982,0.0023024362,0.002172454,0.0020344153,0.0019132206,0.0018543554]