[0.02260825,0.02348088,0.025168413,0.026559753,0.026541082,0.025053805,0.024653183,0.030828035,0.051273134,0.0913739,0.15013063,0.21664454,0.27492905,0.31100166,0.32119223,0.31096327,0.2895606,0.2639692,0.24016176,0.2273833,0.23625211,0.2706187,0.3189725,0.3606285,0.3783293,0.37015903,0.34534577,0.31586924,0.28745055,0.26210907,0.24038005,0.22577477,0.22008164,0.22240986,0.22663504,0.22877698,0.22911215,0.2334941,0.24508147,0.26256227,0.28066453,0.29632476,0.30792508,0.31364846,0.3105371,0.29929522,0.28609142,0.2786453,0.27864277,0.2805339,0.27759346,0.26898852,0.25986382,0.2549416,0.25321665,0.2481385,0.23241656,0.20306773,0.16459763,0.12952004,0.114472896,0.1302256,0.17375273,0.22685118,0.26938844,0.28970125,0.28986582,0.2763196,0.2542404,0.22616298,0.197908,0.1800034,0.1810373,0.19904335,0.21844268,0.22256683,0.20717837,0.18750872,0.18376745,0.20524085,0.24045944,0.26892486,0.27416956,0.2534008,0.21306725,0.16424808,0.11781626,0.083243184,0.06626174,0.067371555,0.08252814,0.10461887,0.12752251,0.14541052,0.15462214,0.15258642,0.14465185,0.14343075,0.16240107,0.20307235,0.2520013,0.29365686,0.32114282,0.33894148,0.35009465,0.35303268,0.34315047,0.32147655,0.29371956,0.26656628,0.24351417,0.22633044,0.21760957,0.22115035,0.23763967,0.26170823,0.28319418,0.29481927,0.29568028,0.28887454,0.27587196,0.25733545,0.23942943,0.23360123,0.24883027,0.2801125,0.31103387,0.32359946,0.31058225,0.27594605,0.23000765,0.18281566,0.14186344,0.111499526,0.092784315,0.083199926,0.07899537,0.079199344,0.08942374,0.11754044,0.16501391,0.22053003,0.26641598,0.2916589,0.29843482,0.2968831,0.29371572,0.28883636,0.2792434,0.2665462,0.25816658,0.26058647,0.2712402,0.27578178,0.25951537,0.21844254,0.16476725,0.116420485,0.08829289,0.08749022,0.11575619,0.16842729,0.23267233,0.29070854,0.328649,0.343264,0.3398734,0.32560924,0.3057522,0.28450048,0.26554078,0.24963515,0.23246127,0.20920567,0.18180333,0.16316326,0.1657961,0.18872732,0.21137983,0.21066701,0.17856656,0.12958367,0.08724776,0.07054212,0.086291276,0.13001738,0.18719403,0.23824881,0.2673665,0.27055815,0.2549608,0.23093438,0.20552836,0.18281995,0.1677336,0.16704021,0.18426709,0.21494253,0.24644963,0.26620367,0.26879087,0.25704613,0.23675145,0.2124921,0.19030066,0.1795433,0.19026197,0.22353248,0.26763114,0.30390358,0.3203063,0.31841782,0.30947414,0.3025272,0.29838085,0.29147843,0.27696064,0.25391963,0.22492407,0.1954865,0.17438854,0.17213528,0.19318171,0.22971661,0.263724,0.2816491,0.28472334,0.28668943,0.29683998,0.31055865,0.31418803,0.3004867,0.27640873,0.25652075,0.25131392,0.25991926,0.2750596,0.2894442,0.30095586,0.3096774,0.31576136,0.3167399,0.30907395,0.2896024,0.25918278,0.22497292,0.19916938,0.19350068,0.21235846,0.25012377,0.29409775,0.33083868,0.35273626,0.3596615,0.35719827,0.35104644,0.3444233,0.33751795,0.33004892,0.32260928,0.31679353,0.31450808,0.31627667,0.32061133,0.32310024,0.31866193,0.30419937,0.28102812,0.25427076,0.22911967,0.20843224,0.19141732,0.17639269,0.16248463,0.15137337,0.14686225,0.1526142,0.17019826,0.19579796,0.22275136,0.24370861,0.25739053,0.26759744,0.28032446,0.29683706,0.31310603,0.32413188,0.3277329,0.32508639,0.3170464,0.3043768,0.2884694,0.2726816,0.26028788,0.25270897,0.24869794,0.24499922,0.23855703,0.22832786,0.21567942,0.20181604,0.18772018,0.1774525,0.1808474,0.20584053,0.24720204,0.28306544,0.2919024,0.2695613,0.2345552,0.20937003,0.20469493,0.21367903,0.2236923,0.22596519,0.21996742,0.21057598,0.2064166,0.21600722,0.24339159,0.28191915,0.318251,0.3404303,0.3467957,0.34363315,0.3389599,0.33763567,0.34089878,0.34725547,0.3523338,0.3507724,0.33918026,0.31785822,0.2890015,0.25374714,0.21305336,0.17075793,0.13548249,0.11547164,0.11385155,0.12681924,0.15059863,0.18141802,0.2139641,0.23486902,0.23246728,0.20527123,0.16834903,0.14109583,0.13623883,0.15398376,0.1863863,0.22277041,0.25234726,0.26725852,0.26412117,0.24616756,0.2198482,0.19246183,0.16862936,0.1515671,0.1425183,0.14192235,0.1481754,0.1577366,0.16482179,0.16340224,0.15119393,0.13227014,0.11605569,0.11059109,0.11772802,0.1313907,0.14328003,0.14736702,0.14350967,0.13502221,0.12626152,0.11994115,0.11726045,0.11853617,0.12330932,0.12976508,0.13592799,0.14281686,0.15728037,0.18612634,0.228381,0.27067915,0.2988969,0.30910167,0.31084383,0.31494012,0.32420862,0.33335197,0.33496726,0.32455707,0.3006332,0.2671072,0.23327214,0.2126677,0.21584399,0.24266517,0.27882588,0.30267462,0.30098283,0.28020254,0.26201656,0.2638503,0.28470543,0.3083773,0.32259884,0.32816625,0.33485892,0.34498274,0.35283533,0.35060915,0.3394349,0.32502672,0.31171542,0.29917157,0.28785372,0.28315854,0.290426,0.3074017,0.32124946,0.318452,0.2937349,0.2535559,0.20876336,0.17027701,0.146564,0.14536552,0.16932364,0.21347998,0.26377046,0.30580878,0.3312386,0.34172633,0.34223488,0.3361232,0.32272133,0.3023251,0.2792655,0.26094863,0.25186253,0.25008762,0.24877101,0.2408231,0.22248322,0.19475812,0.16393292,0.13880609,0.12582327,0.12426933,0.12795232,0.1305554,0.1302029,0.12858212,0.1272366,0.12551233,0.12224346,0.11951425,0.124274135,0.14435598,0.181809,0.22861075,0.27182508,0.3020897,0.31986213,0.3315934,0.34350386,0.35658512,0.36827043,0.37520456,0.37691545,0.3753732,0.37399507,0.37391922,0.37379622,0.36967266,0.35851553,0.3407718,0.3231374,0.3151169,0.32241115,0.3399715,0.35456243,0.35206917,0.32639885,0.2809853,0.22824429,0.18516295,0.16842484,0.18529032,0.22793138,0.27537945,0.3058736,0.31119356,0.30031192,0.2914211,0.29642496,0.31531125,0.3385394,0.35590434,0.35971907,0.34511888,0.31206307,0.26837453,0.23157348,0.21838498,0.23506467,0.27056038,0.30776775,0.33379266,0.34755942,0.3527999,0.35206902,0.34364995,0.32629928,0.30411112,0.28540412,0.276422,0.27432942,0.2718965,0.26558733,0.2600249,0.25867715,0.25807065,0.25201437,0.24291378,0.2406497,0.2522234,0.27374598,0.29708442,0.3171972,0.33390173,0.34520316,0.3473386,0.33877507,0.32533875,0.3161847,0.31715772,0.3259942,0.3366182,0.34436873,0.34912062,0.35146642,0.3504833,0.34346223,0.32868257,0.30581057,0.27587798,0.24183619,0.21086003,0.19357884,0.19890803,0.22598536,0.26209882,0.28962147,0.2990408,0.2954388,0.2928891,0.3018309,0.32162413,0.3443724,0.3616449,0.36868894,0.36273158,0.34422734,0.31898317,0.29809245,0.29148915,0.29998267,0.31590235,0.3302937,0.34049547,0.3482789,0.35369042,0.35261405,0.34002733,0.31505382,0.28114077,0.24443202,0.21192998,0.19083907,0.18703492,0.20167531,0.22958691,0.26079106,0.28499973,0.29500583,0.28672025,0.26000234,0.21940313,0.1757623,0.1409188,0.121762685,0.11558616,0.11519656,0.11641407,0.12427751,0.14790739,0.19200528,0.24915104,0.30553797,0.34914497,0.37674657,0.39006388,0.39222538,0.38556135,0.3729485,0.35642707,0.33574936,0.3096981,0.28088373,0.2588642,0.2551959,0.27452183,0.30790964,0.3384947,0.35160747,0.34330368,0.31837216,0.28467464,0.24848841,0.21410386,0.18527716,0.1647268,0.15261036,0.14566928,0.13950391,0.13241062,0.12456724,0.11662059,0.10733139,0.099086076,0.09841009,0.113448344,0.14432238,0.18151742,0.21173847,0.22718425,0.22834547,0.21945764,0.20412584,0.18513145,0.16700764,0.15710819,0.16114129,0.17868811,0.19947855,0.20931888,0.19828857,0.16851072,0.13133462,0.099192224,0.07955634,0.074939124,0.08753005,0.11744275,0.16091172,0.20692857,0.24450809,0.26602367,0.27058902,0.25896177,0.23484902,0.20544684,0.1831079,0.17722797,0.1882084,0.20489036,0.2149023,0.21161878,0.19788218,0.17900693,0.15982264,0.14307277,0.13175945,0.12827408,0.13296361,0.1432782,0.15445663,0.16211708,0.16400146,0.16148831,0.15752526,0.15486537,0.15423618,0.15587789,0.15962414,0.16541408,0.17162548,0.17685427,0.18048935,0.1839347,0.18877874,0.19562899,0.20478417,0.21630788,0.23052816,0.24561095,0.2589456,0.26867858,0.2759027,0.28435585,0.29776868,0.3197832,0.34986675,0.38438812,0.41411686,0.43243876,0.43660045,0.4308287,0.41897282,0.40390122,0.38827923,0.37896332,0.3857768,0.414003,0.45900622,0.5055878,0.53863114,0.5507052,0.54557866,0.5306302,0.5120766,0.4929749,0.4763447,0.46367744,0.4534094,0.4397632,0.4192773,0.39464676,0.37648153,0.3741713,0.3900422,0.4158001,0.44110358,0.4595697,0.4718964,0.47968355,0.4815435,0.47302625,0.45235065,0.42434552,0.39906394,0.3849598,0.38259068,0.3860339,0.3891008,0.39163515,0.39796492,0.4131036,0.43891624,0.4716761,0.5025382,0.5191888,0.5155443,0.49494722,0.47021422,0.4520637,0.44472194,0.44517198,0.45076522,0.4604967,0.47424638,0.4873854,0.49487603,0.4945704,0.49352935,0.49988487,0.51756054,0.5397925,0.5563636,0.55910486,0.5467623,0.5237775,0.4983082,0.48010018,0.47601447,0.4856403,0.49970117,0.5059543,0.49761763,0.47756025,0.4528712,0.4281695,0.4024323,0.3759716,0.35364258,0.34555325,0.35589314,0.37897506,0.39920124,0.40619096,0.40180933,0.39900443,0.40744925,0.42737177,0.45425677,0.48490962,0.5172531,0.54281807,0.5519099,0.54009396,0.51585835,0.490697,0.47277912,0.4612017,0.45294067,0.4453169,0.43875527,0.43311858,0.42715117,0.41875553,0.4088056,0.40027893,0.3959295,0.39485613,0.3965902,0.40370846,0.4196234,0.4416666,0.45895672,0.4615648,0.44686592,0.42080095,0.38819507,0.3501813,0.30730125,0.26605222,0.23900764,0.23355933,0.24768037,0.27052835,0.29977575,0.3390613,0.39194715,0.44434562,0.47602072,0.47427344,0.44735888,0.41295478,0.38462353,0.36558607,0.3549249,0.35553968,0.37098897,0.3997116,0.43142235,0.45756257,0.47784925,0.49664065,0.51262504,0.51571685,0.500085,0.46935344,0.4369606,0.41252556,0.4007063,0.4005911,0.41169396,0.4306802,0.4507934,0.46093655,0.45486403,0.43463615,0.41126755,0.39386836,0.3857576,0.38340977,0.3833432,0.38333514,0.38302755,0.38146782,0.37841693,0.3741757,0.36837158,0.35732606,0.33576885,0.30604818,0.28417623,0.29492626,0.34872723,0.43003538,0.50221807,0.5384925,0.5345833,0.5080467,0.4764439,0.45029637,0.4317807,0.42133597,0.418669,0.4214666,0.4255257,0.4266461,0.42419073,0.42019895,0.41680256,0.4143611,0.41380024,0.41886565,0.43283665,0.4536787,0.4710021,0.4739159,0.4574496,0.4288144,0.39953113,0.38010576,0.37154964,0.37027657,0.36965677,0.3649052,0.35109913,0.32865992,0.30719975,0.30594048,0.3372749,0.39503768,0.45233205,0.48552063,0.48716196,0.47080076,0.4501059,0.430949,0.40862834,0.38221166,0.35708323,0.34325933,0.34455037,0.36008868,0.38821745,0.4297103,0.48040947,0.52545184,0.54707986,0.53659123,0.5019304,0.45702052,0.41414273,0.37969038,0.3613379,0.3641573,0.38745153,0.4175274,0.43918887,0.4427837,0.4328678,0.41772202,0.40356508,0.38892743,0.37181234,0.35462692,0.345132,0.34973454,0.36693034,0.3883799,0.40555963,0.41629067,0.42258224,0.42750183,0.43232945,0.4422222,0.4612484,0.49076328,0.51926404,0.5350712,0.5299061,0.5100359,0.48469934,0.46430174,0.45272887,0.45159292,0.45934582,0.4737256,0.49132374,0.5083685,0.5223129,0.53208137,0.5385296,0.54213834,0.54350877,0.54326534,0.541646,0.5363435,0.5223973,0.49655345,0.4619323,0.42741212,0.40182975,0.3876964,0.3815913,0.3775091,0.37192035,0.36372766,0.35259545,0.3383502,0.3240406,0.3216882,0.34335232,0.39065245,0.442505,0.47391614,0.47222972,0.44971892,0.4242166,0.40548357,0.3894669,0.37202966,0.35496044,0.3456647,0.3479284,0.36270127,0.38981953,0.43080568,0.48045072,0.5248514,0.54639983,0.53906786,0.5108234,0.47730497,0.44782913,0.42554924,0.410844,0.4080232,0.41860124,0.437598,0.45104995,0.44796476,0.42597377,0.39432335,0.36334467,0.3392768,0.3214126,0.3085731,0.30378506,0.3129443,0.33831087,0.37165174,0.39898872,0.4073272,0.39286515,0.3609203,0.32700765,0.3134431,0.33963966,0.40711817,0.49316096,0.5639909,0.5965993,0.5904711,0.5605941,0.52371603,0.49070904,0.4669656,0.45369694,0.44947338,0.45059624,0.45432624,0.45858,0.46262643,0.4649742,0.46427944,0.45984706,0.45281208,0.44630718,0.44124517,0.435058,0.4202735,0.39317977,0.35582766,0.31719315,0.28359792,0.25644568,0.23393916,0.2187829,0.2202596,0.24524347,0.28971264,0.33634165,0.37287626,0.4003071,0.431587,0.46792135,0.4969207,0.5018454,0.48286632,0.45306945,0.42719647,0.4099449,0.40074554,0.39914802,0.40332195,0.40752032,0.40436432,0.39850435,0.40529832,0.4387435,0.49140295,0.53749305,0.5530295,0.53451675,0.4984385,0.46369705,0.43996406,0.4267498,0.42289916,0.42873356,0.44332615,0.45793733,0.4621348,0.45069852,0.42948043,0.4068129,0.3865954,0.36681414,0.3458492,0.32793835,0.31975105,0.32561436,0.3417398,0.36027077,0.37286806,0.375199,0.36560437,0.34776786,0.33272967,0.33875883,0.37673393,0.43943962,0.500166,0.5357776,0.5407141,0.5293286,0.5165486,0.5085996,0.5023463,0.49478433,0.48608348,0.4782728,0.47144565,0.46324706,0.45132923,0.43576083,0.41978356,0.40825415,0.4057921,0.4145528,0.43033764,0.44337523,0.44092748,0.41800877,0.3780601,0.33283818,0.29072234,0.25596416,0.22800772,0.21002911,0.20978357,0.23498257,0.28380442,0.34208426,0.39374113,0.4335358,0.46674177,0.49849904,0.5221312,0.5287202,0.51404923,0.4859887,0.4529263,0.4223589,0.39827147,0.38569412,0.38636312,0.39652553,0.40733704,0.41313568,0.41789362,0.43235993,0.46228266,0.498518,0.52277917,0.5208656,0.49300027,0.44867826,0.39996767,0.35721692,0.33233073,0.33459875,0.36445665,0.40668532,0.4385527,0.44289264,0.42086378,0.38792875,0.3621353,0.35065925,0.35007498,0.3530862,0.3553965,0.3541329,0.344727,0.32415965,0.29721788,0.27753404,0.27710164,0.29783535,0.3325704,0.37657335,0.42932615,0.48918438,0.54369605,0.5774215,0.5819533,0.5636766,0.53576165,0.50872797,0.48640206,0.4683442,0.45561323,0.44999686,0.4524552,0.45915934,0.46525815,0.46859035,0.47140184,0.4760754,0.4814197,0.48518762,0.4867196,0.48741338,0.4849982,0.47330764,0.44734213,0.41162813,0.37940013,0.36423138,0.36844996,0.3839016,0.39901385,0.41005015,0.41936573,0.4310437,0.44555375,0.46281925,0.4819306,0.49868163,0.50333416,0.48867908,0.4577767,0.42446312,0.40123487,0.39157495,0.3901359,0.39232078,0.39900646,0.4134548,0.434992,0.4565352,0.4736459,0.48876676,0.50838643,0.5311145,0.5453937,0.54050404,0.51638615,0.48544684,0.45992956,0.44597813,0.44210443,0.44642696,0.45663214,0.46942374,0.47722793,0.47412768,0.4575183,0.43001243,0.3937154,0.3508089,0.30488154,0.2636269,0.2370056,0.23157352,0.24633181,0.27121893,0.2935429,0.3042021,0.301985,0.29078868,0.2789729,0.27885476,0.30461347,0.35997498,0.4307654,0.48906913,0.5146839,0.5072379,0.48454142,0.46526787,0.45842746,0.46196625,0.46988812,0.47831663,0.48635903,0.49387193,0.4992639,0.50048786,0.49666086,0.48781505,0.4752185,0.46149632,0.4527639,0.45326236,0.4624809,0.47122645,0.47137347,0.45940694,0.44047055,0.41899097,0.39639863,0.3695,0.337468,0.3049579,0.28071693,0.27166006,0.27904308,0.30209193,0.3403505,0.3896167,0.4365951,0.4630269,0.46160376,0.4415848,0.42181024,0.4129993,0.41386136,0.41634035,0.41633716,0.41457462,0.41319072,0.41145256,0.4098449,0.4142783,0.43365836,0.4694316,0.50841665,0.53210855,0.5294395,0.504243,0.46510532,0.41966,0.37388822,0.33998644,0.33022738,0.348039,0.37915972,0.40396354,0.4103516,0.4028764,0.392419,0.3867483,0.38541496,0.38521728,0.3839761,0.38128245,0.3768991,0.37044337,0.36264753,0.35480842,0.34820887,0.34218812,0.33433,0.32025012,0.2955933,0.25875092,0.21334974,0.16777097,0.1306618,0.1066748,0.094569474,0.089674555,0.08734546,0.08534067,0.084087305,0.08498454,0.08899039,0.09551533,0.10288099,0.109147124,0.11311731,0.114903845,0.11546477,0.11607923,0.11769214,0.12165388,0.12963401,0.14336151,0.16264401,0.18534736,0.20759183,0.22603376,0.23833646,0.24567069,0.2534609,0.27185166,0.3084496,0.36108038,0.41419628,0.44906363,0.45615175,0.44121587,0.4174243,0.39656702,0.38696516,0.39798102,0.43697163,0.5002434,0.56733006,0.6124204,0.6216976,0.60112506,0.5679707,0.53656745,0.51284313,0.49571905,0.4826515,0.47143137,0.46124783,0.45239183,0.44657585,0.44704476,0.45655048,0.4745605,0.4958547,0.5146399,0.5285123,0.5381739,0.54209965,0.53543895,0.5153523,0.48643664,0.4583865,0.43809476,0.4251394,0.4153544,0.40669155,0.40185532,0.40418255,0.4149426,0.43330684,0.46035242,0.49615264,0.53512913,0.56353086,0.56907374,0.55141443,0.52248615,0.49700823,0.480865,0.472952,0.46938905,0.46962312,0.47332048,0.4776142,0.47986034,0.4811777,0.49128643,0.5150371,0.54863113,0.57386684,0.5790458,0.5614865,0.5326015,0.5014277,0.47624746,0.46179417,0.4637808,0.4814388,0.50622123,0.5237253,0.52498883,0.51056355,0.4892055,0.4678887,0.449096,0.43157127,0.41657725,0.40758565,0.40788153,0.41562438,0.42514482,0.43101916,0.4333643,0.43636313,0.44422126,0.4583517,0.4807862,0.51486856,0.5598035,0.60446316,0.6306321,0.6267767,0.59527403,0.5505237,0.5069895,0.4740713,0.45386133,0.44451332,0.4420257,0.4424944,0.44336924,0.44349685,0.44406465,0.446334,0.45087603,0.4552882,0.45851552,0.46261883,0.47185597,0.48619995,0.49840698,0.5005776,0.49050435,0.47485134,0.46034244,0.44969547,0.4401979,0.4307015,0.42339873,0.4222485,0.427821,0.438216,0.4530157,0.47591463,0.5075569,0.54013705,0.55884916,0.5549971,0.53179145,0.5014232,0.4741746,0.45490324,0.44477046,0.44556034,0.45785645,0.47867107,0.5002505,0.5171957,0.5309837,0.54750484,0.5676487,0.58112377,0.57641244,0.54976636,0.5130306,0.48009086,0.46090546,0.45453298,0.45856103,0.4693084,0.4832145,0.49305186,0.4927673,0.48165813,0.46558115,0.45157883,0.44327602,0.44049618,0.44160593,0.44536117,0.45033643,0.45562837,0.46085906,0.46742103,0.47638252,0.4874206,0.4969491,0.5013525,0.5001859,0.5014058,0.51361066,0.54028064,0.56890005,0.5853146,0.5798544,0.55994225,0.53544426,0.51545686,0.5009037,0.4925351,0.49076197,0.4956802,0.5037859,0.50930834,0.5084569,0.50263005,0.49694434,0.49610627,0.50107247,0.51074266,0.52269846,0.53430897,0.54153776,0.5415904,0.53498554,0.52598673,0.51972145,0.51871014,0.52241397,0.52761513,0.5303152,0.52597255,0.51166844,0.48929217,0.46766916,0.4605634,0.47461447,0.5040938,0.53004456,0.54032826,0.5336828,0.52232873,0.51209635,0.50436133,0.4949412,0.48747155,0.48719752,0.49872002,0.5179959,0.53817827,0.55454206,0.5674351,0.57678217,0.57756275,0.56356853,0.5348891,0.49934256,0.46637937,0.44001317,0.42158857,0.41311505,0.41946748,0.44054833,0.46875456,0.49079213,0.49901608,0.49529216,0.48877266,0.48585808,0.48689047,0.48825598,0.4883716,0.4893026,0.49408683,0.50354475,0.5158035,0.52809304,0.5382591,0.5446194,0.54726005,0.54865295,0.55381936,0.56475973,0.57726383,0.58139026,0.57020944,0.5448989,0.5132593,0.4826852,0.45558724,0.4327412,0.41557947,0.40908146,0.4155313,0.43320248,0.4534037,0.46832034,0.47452548,0.47600934,0.4771167,0.47942626,0.48068953,0.48125637,0.4827681,0.48775265,0.49294317,0.49558005,0.4932921,0.48941037,0.48564693,0.48294154,0.47940016,0.47495767,0.47028384,0.46596816,0.46119276,0.45678243,0.4588834,0.47551933,0.50837845,0.5449938,0.5677766,0.5661187,0.54665595,0.5228031,0.5057462,0.4968852,0.4947479,0.49741256,0.50415784,0.5125101,0.51891047,0.52131635,0.5202224,0.5178671,0.5155862,0.5144372,0.51653147,0.5252042,0.54084355,0.558772,0.5710451,0.5738237,0.56906986,0.56101686,0.5504434,0.53555113,0.5179562,0.50384766,0.49840733,0.49918962,0.49798036,0.4905976,0.48183927,0.4808557,0.4907043,0.504282,0.51218766,0.5110702,0.50634074,0.50326157,0.5006922,0.49405977,0.48389086,0.48051795,0.49229512,0.51711524,0.53900844,0.54507184,0.532595,0.5118895,0.493356,0.48371696,0.4831123,0.48891136,0.49628052,0.50094146,0.50128424,0.49921033,0.4974922,0.49659166,0.49394858,0.48781577,0.4799007,0.4755421,0.47718573,0.48231485,0.48369193,0.47832227,0.468693,0.46190298,0.46044204,0.46182218,0.46020105,0.45465526,0.4489886,0.4493989,0.45689344,0.46870264,0.4818908,0.4990712,0.52319074,0.5515127,0.57209444,0.5739313,0.55545855,0.52801085,0.5048684,0.49287415,0.4894792,0.48968622,0.49031854,0.49012756,0.48813665,0.48556092,0.4881852,0.50174457,0.5251891,0.5470807,0.555936,0.5478955,0.5308952,0.51381403,0.50169873,0.4926075,0.48536062,0.48035392,0.48040533,0.48467898,0.4901143,0.49216,0.48986414,0.4843093,0.47745976,0.46912956,0.45868382,0.4472121,0.43889037,0.43751863,0.44292605,0.4507568,0.45711577,0.46078464,0.46133292,0.45741788,0.44966742,0.4458474,0.4552667,0.4807433,0.51036716,0.52941424,0.52868706,0.5137597,0.4942391,0.4800825,0.47365394,0.47352543,0.47433147,0.47248447,0.4679445,0.46446797,0.46604487,0.47311997,0.48287395,0.4910001,0.4956689,0.49739948,0.49807596,0.49714914,0.49236992,0.4817983,0.467723,0.4551836,0.44761035,0.4431739,0.43673304,0.42646933,0.41729066,0.4172518,0.43032232,0.45304918,0.48020625,0.5094107,0.54071087,0.5701019,0.58904284,0.59173846,0.58084095,0.5653885,0.55133253,0.5386438,0.5246163,0.5101663,0.49964592,0.49652696,0.49948192,0.5043362,0.5094774,0.5181959,0.5332374,0.5500414,0.5572521,0.5469231,0.520924,0.4888011,0.45819542,0.43269584,0.4144149,0.40824535,0.41754338,0.4396689,0.4641833,0.48067155,0.4844698,0.47936878,0.47172534,0.46624613,0.4633666,0.4617245,0.46015194,0.45858678,0.4566407,0.45374987,0.45062456,0.450752,0.45740235,0.4706601,0.48696125,0.5045305,0.52425414,0.54705447,0.56755275,0.5768876,0.56950694,0.54867214,0.52394986,0.50284916,0.4878249,0.47606316,0.46577334,0.45634094,0.44884482,0.4428239,0.43824723,0.43625334,0.4394306,0.44825765,0.4600878,0.47108653,0.48061875,0.48999086,0.5000196,0.50653845,0.5055712,0.49563393,0.48198387,0.47054264,0.46572804,0.46689352,0.47176638,0.4774038,0.48294303,0.48849365,0.49664974,0.51017314,0.53077465,0.5543113,0.57261103,0.577581,0.56796837,0.54839677,0.5249147,0.5007503,0.47786185,0.46013772,0.4541255,0.4641064,0.48850903,0.5188442,0.54767805,0.57220715,0.5939035,0.6109573,0.6167336,0.60667783,0.5835142,0.55721945,0.53564334,0.5218785,0.51456267,0.5122955,0.5134154,0.5161429,0.51830775,0.5197368,0.5204074,0.5205512,0.5179017,0.5116062,0.5023356,0.49412537,0.49032605,0.49193513,0.4968954,0.5022182,0.5065505,0.50985473,0.51292425,0.5150363,0.5162878,0.5181205,0.52572674,0.540714,0.5596731,0.57142043,0.56959105,0.55494004,0.5373256,0.52429014,0.51916796,0.5210975,0.53003746,0.5450702,0.561891,0.57193893,0.56866807,0.55212706,0.5288503,0.50541,0.4847491,0.46846855,0.4603393,0.46555814,0.48456016,0.510152,0.5316716,0.5424301,0.54307574,0.53807014,0.5317557,0.52703804,0.5269889,0.53418595,0.5472428,0.559392,0.5616698,0.5510984,0.53262645,0.51486355,0.50224876,0.49438643,0.4911461,0.49561825,0.51083916,0.5336702,0.5543037,0.5635728,0.5594218,0.54825324,0.5370781,0.52895796,0.523138,0.52101463,0.52630764,0.5401211,0.5560644,0.56452614,0.56033164,0.5465579,0.52914244,0.51227397,0.49820614,0.49074343,0.49404427,0.5070338,0.522064,0.5292693,0.5257498,0.5154173,0.5055923,0.49986577,0.49957082,0.5046406,0.51608866,0.5313149,0.54476124,0.5475765,0.5375043,0.5184538,0.5009442,0.49068072,0.48776934,0.48649812,0.48214912,0.47256508,0.45830354,0.4418052,0.42634356,0.41435954,0.40437517,0.3906947,0.3671818,0.3330691,0.2958255,0.26824388,0.2618835,0.28056538,0.3177763,0.3596809,0.392076,0.40755317,0.40678427,0.39584696,0.3804734,0.36508682,0.35185683,0.34268954,0.33739623,0.33442673,0.3308455,0.32472143,0.31563136,0.30371293,0.28880116,0.27046946,0.25014967,0.23105632,0.21642737,0.20620845,0.19657536,0.18247487,0.16171236,0.13670297,0.11326096,0.09732202,0.09257118,0.09897703,0.11306294,0.12888275,0.14073396,0.14540261,0.14326142,0.13678624,0.12869294,0.120553814,0.11295191,0.10595471,0.09964904,0.094136395,0.08945093,0.085372396,0.081470035,0.07733395,0.07330922,0.07132232,0.075834654,0.09284014,0.12790562,0.18098205,0.24458341,0.30407116,0.34639677,0.3660942,0.36857712,0.36337242,0.35818115,0.35527822,0.3542467,0.3543062,0.3553228,0.35640785,0.3563029,0.35392976,0.34978917,0.34492707,0.34031025,0.33677602,0.33546945,0.33814502,0.3447001,0.3531609,0.35952428,0.36123335,0.35775328,0.3507649,0.34229207,0.33372244,0.32570493,0.31817892,0.31085643,0.3035176,0.29656008,0.29082042,0.286603,0.28282234,0.27789342,0.27107874,0.26418927,0.25980663,0.25987327,0.26320967,0.2671276,0.26921782,0.26911664,0.2678417,0.2661164,0.26472926,0.26422933,0.26475,0.26417926,0.25960603,0.25029376,0.23960571,0.23270322,0.23208098,0.236175,0.24143513,0.24593796,0.24987304,0.25402048,0.25832582,0.26222286,0.26610938,0.2708024,0.2768601,0.28314468,0.28887135,0.29486427,0.30469334,0.32026502,0.33873406,0.35086918,0.3481628,0.3288181,0.30142924,0.2783339,0.26841128,0.27155873,0.28122267,0.28900722,0.28975204,0.28295028,0.27266118,0.26484385,0.2645811,0.27300474,0.2869016,0.30012274,0.30652058,0.3020632,0.28623405,0.2620857,0.2355334,0.21290721,0.19843136,0.19209208,0.1906277,0.19016463,0.19033687,0.19454928,0.20712578,0.22755425,0.24943078,0.26406965,0.2667252,0.25899297,0.2464034,0.23428203,0.22489806,0.21756615,0.21043257,0.20247255,0.19440311,0.18761466,0.18298133,0.18002456,0.17797105,0.17676745,0.17803673,0.18407655,0.19603257,0.21183163,0.22645761,0.23474759,0.2344627,0.22729087,0.21666521,0.20560579,0.19534081,0.18577279,0.17574428,0.16405569,0.15026873,0.13540402,0.12107277,0.10832847,0.09707802,0.08698246,0.07907489,0.07669451,0.084640205,0.105445124,0.1360799,0.1675211,0.18997024,0.19814526,0.19363554,0.18170021,0.16761641,0.15446775,0.1435153,0.13500044,0.12878664,0.12474493,0.12257752,0.12148917,0.11973998,0.1154854,0.10856766,0.1028204,0.10675452,0.13018388,0.17752083,0.24121332,0.30351734,0.34577546,0.36019233,0.35213614,0.33428648,0.31679797,0.30403987,0.2952979,0.28887245,0.28253314,0.27432558,0.26192,0.24446695,0.22286774,0.19981109,0.17826527,0.16119522,0.151134,0.14973165,0.1561309,0.16687767,0.17727272,0.18383366,0.18548037,0.1830644,0.17839187,0.17310995,0.16806483,0.16290756,0.15671931,0.14941068,0.14231451,0.13717236,0.1343049,0.13230066,0.1296389,0.12650353,0.124723285,0.12639447,0.13217957,0.14108865,0.15051374,0.15761618,0.16024335,0.15826209,0.15294619,0.14630596,0.1398599,0.13499624,0.13293011,0.13506013,0.14213526,0.15448226,0.17139976,0.19137973,0.21128036,0.22756548,0.23770253,0.24182044,0.24196367,0.24048834,0.23914492,0.23928379,0.24206674,0.24752146,0.25345537,0.25573918,0.24972105,0.23254763,0.20416479,0.16805927,0.12995677,0.096448936,0.07207174,0.058018323,0.051989887,0.050567817,0.051293883,0.05356574,0.057768513,0.06400224,0.07146495,0.07855005,0.083411336,0.08458245,0.08178414,0.07636615,0.07132289,0.070559375,0.07826387,0.098165564,0.13118142,0.17321002,0.2141522,0.24338686,0.2548199,0.24996452,0.23401387,0.21359533,0.19660544,0.19258337,0.20786321,0.23933947,0.27410322,0.29812178,0.30447474,0.29532507,0.27572706,0.24962437,0.21924068,0.18761903,0.15909773,0.13750394,0.12457173,0.11885721,0.117867015,0.11938393,0.12276691,0.12708479,0.13113646,0.13543777,0.14458601,0.16374733,0.19049883,0.21234453,0.21614848,0.20325501,0.18985786,0.19241804,0.20891058,0.2218358,0.21361595,0.18397021,0.14716978,0.12078583,0.11214455,0.11652171,0.12172175,0.117567785,0.10154253,0.08129409,0.070082046,0.08089361,0.11634364,0.16642809,0.2114077,0.23624457,0.2370878,0.22153316,0.19751273,0.17081042,0.1457998,0.13066457,0.13080168,0.14321382,0.15375094,0.14987342,0.13132593,0.11302856,0.11256927,0.13658233,0.17564203,0.21161951,0.2301624,0.22820078,0.21223521,0.19120388,0.1705758,0.15251948,0.1381972,0.13000186,0.12902798,0.13377061,0.13839942,0.13670896,0.124307565,0.10387772,0.084401906,0.07968492,0.098702945,0.13983311,0.1879614,0.22524542,0.240856,0.23846824,0.2283138,0.21967322,0.2138737,0.20864896,0.20112936,0.19105913,0.17916687,0.16705783,0.15700257,0.15140891,0.1513647,0.15515514,0.16000502,0.16398494,0.16715454,0.16933157,0.169053,0.1656902,0.16278096,0.16720934,0.1824733,0.20330572,0.21798132,0.21710901,0.1998504,0.17251153,0.14303698,0.11724342,0.09822595,0.08667552,0.080876745,0.077684514,0.07498592,0.074279,0.08090508,0.09942341,0.12860955,0.15934159,0.18137735,0.18995534,0.18864824,0.18322712,0.17677389,0.16948245,0.16317697,0.16395241,0.17725581,0.20183557,0.22550373,0.23323478,0.21665569,0.18167846,0.14300546,0.1153784,0.1066289,0.11779568,0.1444857,0.17792095,0.20670785,0.2227714,0.22502293,0.21819831,0.20648672,0.1911409,0.17244309,0.15239333,0.13378079,0.118098505,0.10630453,0.10091456,0.10472143,0.11607156,0.12628388,0.12482194,0.10762551,0.08051646,0.05394641,0.03603099,0.030220663,0.038353473,0.06105092,0.09605553,0.13499267,0.16779967,0.18740611,0.1940735,0.19177063,0.18488099,0.1765169,0.17071682,0.1732829,0.18808722,0.2128336,0.23808193,0.2540901,0.25696245,0.2494169,0.23546554,0.21712476,0.1980474,0.18661295,0.19367306,0.22272676,0.26445666,0.30075952,0.31687722,0.3110635,0.29364893,0.27793407,0.27029562,0.26803023,0.26351154,0.2507179,0.22794281,0.19875227,0.17063217,0.15412273,0.15566514,0.1723436,0.19066875,0.19961333,0.20008314,0.2039317,0.21822159,0.2364893,0.24519326,0.23848659,0.22585149,0.22275834,0.23860173,0.26694968,0.29305968,0.30296788,0.29471394,0.27551654,0.25622067,0.24258353,0.23394705,0.22562926,0.21386784,0.19943114,0.18686841,0.18271361,0.19048141,0.20980328,0.23477976,0.25848344,0.2752788,0.28366783,0.28349903,0.27462596,0.25816947,0.24091025,0.23380719,0.24486978,0.27014476,0.2968887,0.31202343,0.31210423,0.30031976,0.28149536,0.25730255,0.2300245,0.20464389,0.187934,0.18252474,0.184918,0.18770091,0.18569624,0.17846982,0.17003632,0.1650861,0.16704725,0.17693871,0.19362067,0.21335469,0.22999273,0.23886268,0.23985279,0.23842315,0.23885648,0.24163266,0.24393986,0.2463153,0.25213215,0.26429996,0.27992275,0.29210758,0.29346666,0.28041604,0.2537472,0.21840172,0.18203326,0.15267314,0.13548405,0.1297787,0.12984364,0.13015608,0.1311888,0.13874887,0.15581603,0.17528468,0.18484026,0.17867287,0.16554748,0.15936641,0.16682021,0.1806099,0.18935134,0.18663126,0.17508061,0.16066436,0.15020646,0.14931585,0.16172163,0.18480271,0.21061307,0.23055983,0.24188356,0.24729319,0.25109026,0.25569597,0.26156306,0.2679169,0.27307114,0.27450255,0.26995263,0.25818625,0.23937172,0.21425945,0.18440193,0.15259974,0.123606116,0.10208368,0.09063486,0.08859483,0.09477556,0.10722048,0.12245232,0.1329587,0.13276021,0.12141946,0.1064952,0.09657238,0.098172665,0.11304891,0.14053376,0.17535676,0.20948298,0.23398916,0.24416047,0.24026977,0.22635798,0.2081906,0.19130571,0.18017049,0.17606638,0.17703962,0.17835622,0.1753761,0.16589808,0.15138538,0.13579139,0.12347769,0.11799044,0.12111115,0.1324573,0.14840038,0.1639294,0.174608,0.17941968,0.17935187,0.176314,0.17139508,0.16658257,0.16506705,0.16990797,0.17988218,0.18827207,0.18798359,0.17918368,0.17115021,0.1735636,0.18770736,0.20642538,0.22477756,0.24514286,0.27314988,0.30693838,0.33622494,0.34907857,0.34107533,0.31742302,0.28856018,0.26554975,0.2558825,0.2633515,0.28523186,0.31214678,0.3294199,0.32681385,0.30616152,0.2820194,0.26911655,0.2719587,0.28251013,0.29157904,0.2960915,0.3011264,0.31051338,0.3230076,0.33136156,0.3297647,0.31762698,0.2998334,0.2831519,0.2723931,0.27059832,0.2778013,0.291222,0.3042756,0.30938217,0.30209687,0.28304482,0.25795743,0.23341055,0.21521623,0.20578498,0.2051713,0.2104079,0.21746999,0.22299087,0.22666548,0.22996415,0.23333253,0.2351562,0.23492707,0.23585786,0.24257886,0.25523362,0.26719338,0.26896036,0.25522977,0.22804844,0.19501616,0.1645103,0.14259267,0.13258171,0.13524927,0.14882012,0.16800141,0.18621106,0.19814436,0.20250647,0.20057331,0.19449961,0.18664932,0.18077947,0.18224536,0.19464397,0.21654493,0.2404865,0.2581778,0.26539198,0.2646688,0.26157728,0.26108947,0.26475617,0.27181673,0.28043666,0.28932935,0.29835516,0.3079997,0.31874096,0.32924697,0.3371979,0.3395114,0.3360121,0.32945272,0.32496798,0.32470474,0.3264401,0.32465944,0.31522158,0.29668915,0.2702768,0.239218,0.21027522,0.19310711,0.19648796,0.22142737,0.25841543,0.29111004,0.30650198,0.30216217,0.28656113,0.27125967,0.26320025,0.26207307,0.26339328,0.2631525,0.25936785,0.25227597,0.24379526,0.23825644,0.24028139,0.25183666,0.26948532,0.28777993,0.30290794,0.31527552,0.32517114,0.3310298,0.32991114,0.32316157,0.31603277,0.31379446,0.31540582,0.31583816,0.31206426,0.3065884,0.30261484,0.29789102,0.28763235,0.27217838,0.26071045,0.26289448,0.27958468,0.30170965,0.3187004,0.3259934,0.3255519,0.32117292,0.31577492,0.31194475,0.31305888,0.32147607,0.3350561,0.34823716,0.3559333,0.358611,0.3601189,0.3642706,0.37080827,0.37647292,0.37576386,0.36321172,0.3358568,0.29702967,0.25731903,0.23067556,0.22615904,0.24199307,0.26566577,0.2836143,0.29000807,0.29081312,0.2953609,0.30840763,0.32555637,0.33999273,0.34738278,0.34794787,0.3414744,0.32694733,0.3061324,0.28687763,0.27944112,0.28710893,0.304281,0.32160816,0.33536044,0.3479295,0.36285064,0.37913164,0.39094028,0.39129612,0.37632057,0.34741285,0.3109566,0.27534422,0.24834768,0.23413213,0.23220009,0.23644543,0.23804547,0.22926515,0.20860344,0.18059464,0.15370286,0.13494973,0.12809826,0.13211972,0.14300324,0.15569155,0.16820852,0.18375461,0.20785719,0.24225438,0.28004065,0.31062746,0.3269342,0.33121493,0.3301762,0.32955405,0.33013818,0.33019835,0.32697442,0.3174933,0.2991294,0.27310953,0.24714732,0.23361026,0.24158001,0.27045825,0.30916062,0.3440194,0.36598065,0.37363055,0.3685836,0.3515983,0.3229373,0.28666458,0.2514541,0.22552216,0.210766,0.20318906,0.19849437,0.19473346,0.19043237,0.18218881,0.17001939,0.16145776,0.16933775,0.19935031,0.24345683,0.2845591,0.31039867,0.3200505,0.32011425,0.31470406,0.30367166,0.28663865,0.2698002,0.26347193,0.27530345,0.30285797,0.33446047,0.3561155,0.35886562,0.34220353,0.3118273,0.27621248,0.24312484,0.21920992,0.20981503,0.21762943,0.23935731,0.26501206,0.28274313,0.28510833,0.27179465,0.24661277,0.21551473,0.18614995,0.16779912,0.16561206,0.1755953,0.1843272,0.1788853,0.15495841,0.119569965,0.08344671,0.0547723,0.03569337,0.024768433,0.019117124,0.016300488,0.014566529,0.013029095,0.011463876,0.010027404,0.0088983,0.008061464,0.007378748,0.0067357286,0.006135642,0.0056427014,0.005278046,0.005011489,0.004760479,0.0044597215,0.0040660943,0.0035921093,0.0030839604,0.002590132,0.0021412543,0.0017421799,0.0014004676,0.001117298,0.0008964909,0.0007306458,0.0006135741,0.0005321429,0.00046953582,0.00040728782,0.00033515834,0.00025646985,0.00018099305,0.00011896805,7.347453E-05,4.376171E-05,2.5756992E-05,1.5965643E-05,1.077634E-05,7.8796065E-06,5.7643174E-06,4.058012E-06,2.8102293E-06,2.2470597E-06,2.535419E-06,3.6463596E-06,5.3186304E-06,7.0435303E-06,8.361828E-06,8.967371E-06,8.800539E-06,8.011021E-06,6.9535417E-06,6.0956518E-06,5.6922877E-06,5.6897684E-06,0.00089072675,0.0069193295,0.027945293,0.076361924,0.15555133,0.24951033,0.32893828,0.3738468,0.39392498,0.41426352,0.4499351,0.48408356,0.49494436,0.47574687,0.44803882,0.43170023,0.43183222,0.43580034,0.43178722,0.4165664,0.39373064,0.36982104,0.35315534,0.3565246,0.38931313,0.4495326,0.5178086,0.5708335,0.59382933,0.59028035,0.5719393,0.55114007,0.5318773,0.51371926,0.4935268,0.47135034,0.44879702,0.42858744,0.41177818,0.39959845,0.39369622,0.39528427,0.40341124,0.41626418,0.4338074,0.45635745,0.48139045,0.5009858,0.5082024,0.50118065,0.4857143,0.46808305,0.45125532,0.4339479,0.41516158,0.39822754,0.38877216,0.3924583,0.4110352,0.4456383,0.4934968,0.54664516,0.58726335,0.59912276,0.5775955,0.53656673,0.4956858,0.46767095,0.45382467,0.45090577,0.45841566,0.47458652,0.49354556,0.50536615,0.50833064,0.5112613,0.5248584,0.54640174,0.5584913,0.5466258,0.5125049,0.47385046,0.44575095,0.43324056,0.4316578,0.4384093,0.45094225,0.4663982,0.47554207,0.4731551,0.45831382,0.4381447,0.41713366,0.39827526,0.38237014,0.37338164,0.3755467,0.38960698,0.4099435,0.42771673,0.4376438,0.44167194,0.4459466,0.45472157,0.46835327,0.48704824,0.51251715,0.5431021,0.56966025,0.5791684,0.5666724,0.5381574,0.5058755,0.47723445,0.45493522,0.43812802,0.4273306,0.4214243,0.41932538,0.41787615,0.41569293,0.41211423,0.40926385,0.4083383,0.40993664,0.41420183,0.42450646,0.443099,0.46717802,0.485871,0.4912975,0.4842349,0.47476614,0.46919695,0.46555734,0.4567854,0.44083348,0.42370245,0.4131206,0.41149285,0.41570067,0.42466536,0.44377062,0.47637662,0.5163924,0.5464806,0.55547947,0.54322314,0.5209933,0.49571586,0.47101054,0.44776985,0.4317936,0.42710432,0.43374333,0.44617334,0.4615742,0.48283258,0.51210696,0.54432523,0.5633542,0.55908006,0.5312355,0.49608728,0.466763,0.45271382,0.45158365,0.46176764,0.4778998,0.49453965,0.50134784,0.4921708,0.46866703,0.4417014,0.42278752,0.4176354,0.42500663,0.44029966,0.4581612,0.47296563,0.47907397,0.47368622,0.45935968,0.44338265,0.43281177,0.429455,0.4311068,0.43706563,0.45350417,0.48649704,0.53297395,0.575118,0.5943067,0.58404016,0.5553972,0.52477,0.5030696,0.4923978,0.48989293,0.49224877,0.496286,0.49969617,0.50060076,0.49860725,0.49456397,0.48989627,0.48547316,0.48254585,0.4838294,0.49308184,0.50963974,0.5271015,0.5355887,0.5316698,0.519672,0.50895196,0.5044198,0.50490886,0.505348,0.5019073,0.49367383,0.48123536,0.4673967,0.45759106,0.46116412,0.482088,0.5150023,0.5426778,0.5534814,0.54644847,0.53417325,0.52463585,0.51860356,0.5098028,0.49747238,0.48650956,0.4827026,0.48574138,0.49096334,0.4977645,0.51148343,0.5361145,0.5637056,0.57809454,0.56879294,0.5409252,0.5087118,0.48262462,0.4651188,0.45611486,0.45873174,0.47380802,0.49611104,0.51254964,0.5152115,0.5038054,0.48746237,0.4722201,0.46076727,0.45192695,0.44761524,0.45069313,0.4623309,0.47870407,0.49378386,0.5033666,0.5069247,0.50599223,0.50254524,0.50027126,0.5054408,0.52295023,0.5490058,0.56975746,0.5710737,0.55050254,0.5184893,0.48739445,0.4619055,0.4402412,0.42146626,0.40974215,0.40937936,0.42063865,0.436173,0.44824243,0.45238757,0.4523547,0.45319572,0.45879033,0.46837497,0.48187122,0.497403,0.5119695,0.5181742,0.5128892,0.49848485,0.48359254,0.47350028,0.4680783,0.46313044,0.45616055,0.44813338,0.441457,0.43758765,0.4381503,0.44634077,0.46542883,0.4916118,0.5139691,0.521912,0.5168933,0.5094926,0.5083753,0.51075506,0.5099079,0.5043058,0.500696,0.5023485,0.5051567,0.5002595,0.48725048,0.47397295,0.4692218,0.4730613,0.4790856,0.4851406,0.4967557,0.5197413,0.5492008,0.5698375,0.5710767,0.5560268,0.5387644,0.5281908,0.5228993,0.5181896,0.5160831,0.5227582,0.5382481,0.5513926,0.55063695,0.53403735,0.51139563,0.49224374,0.47882536,0.46865985,0.46151718,0.46120536,0.46676052,0.4702859,0.46255764,0.4471468,0.44031277,0.45640802,0.49210486,0.5265802,0.54117876,0.53131634,0.5070876,0.47944686,0.45532557,0.4371384,0.42601362,0.42208457,0.4242406,0.43107602,0.44094095,0.4523175,0.46319762,0.47120228,0.47449553,0.47394845,0.4741465,0.4792143,0.48749265,0.49078262,0.48186588,0.46194974,0.43920782,0.421636,0.41074368,0.40502915,0.40410554,0.4108428,0.42575812,0.44404292,0.4577544,0.46475187,0.47226334,0.48996392,0.5182848,0.5446579,0.5552473,0.54571277,0.52445143,0.50124687,0.48193097,0.4670851,0.45794782,0.4556599,0.45918432,0.46512732,0.4721413,0.48583353,0.51127225,0.5449305,0.5687546,0.56658477,0.5366859,0.4962796,0.46378645,0.44596896,0.4380833,0.43473586,0.43715286,0.4469547,0.4609585,0.4697672,0.4672484,0.454625,0.44004178,0.4301988,0.42644587,0.42508265,0.4228721,0.4198115,0.4182485,0.41927445,0.42162547,0.4232056,0.423013,0.4207673,0.41773668,0.41809264,0.43096814,0.46159473,0.50508326,0.5412612,0.55243295,0.53256303,0.49594697,0.46013638,0.43989417,0.4369347,0.4469972,0.45922747,0.46582603,0.46334553,0.45704448,0.4530339,0.45498753,0.46024075,0.46492723,0.46730196,0.4695073,0.47558475,0.48491588,0.49272382,0.49023744,0.47636363,0.45546505,0.43682548,0.42267323,0.41226768,0.40436974,0.40473047,0.41877434,0.44628188,0.4776465,0.503575,0.5222654,0.53798604,0.55257636,0.55894035,0.551011,0.5292432,0.50541854,0.48842034,0.48111072,0.47783706,0.47557995,0.47528914,0.4792391,0.48447576,0.48489586,0.4807855,0.48207745,0.49812737,0.52469474,0.5428917,0.5378051,0.5091701,0.47144964,0.43699703,0.41248474,0.4002492,0.40503272,0.4272299,0.4590398,0.4836903,0.48968437,0.47564527,0.4521129,0.42926255,0.41381112,0.40571997,0.4035678,0.40489078,0.40833536,0.41137278,0.4124956,0.41130543,0.41150117,0.41616318,0.4267619,0.44130626,0.4604909,0.48637852,0.5178688,0.54583544,0.55826885,0.5516184,0.5327746,0.51300484,0.49768308,0.48617128,0.4756575,0.46574554,0.45822117,0.45498714,0.45546865,0.45759845,0.45994353,0.46393672,0.47095418,0.4803886,0.4899886,0.49952984,0.5092392,0.51693064,0.5162714,0.5035133,0.4814514,0.458975,0.44349134,0.4370314,0.4370935,0.44089973,0.44756842,0.45737562,0.46981522,0.48435685,0.5012328,0.52136093,0.54158074,0.55448836,0.55245733,0.53579503,0.51210505,0.48986664,0.47172856,0.45574525,0.44155216,0.43312225,0.43697795,0.4548527,0.48229393,0.5105271,0.53574866,0.55705476,0.5735943,0.5767663,0.5604124,0.5271179,0.49201736,0.46940172,0.464309,0.4722478,0.48716724,0.505405,0.52291054,0.53337026,0.53197783,0.5200835,0.50443065,0.4905006,0.4789008,0.46753144,0.45618176,0.44771078,0.4445863,0.44604802,0.44830954,0.44858718,0.44717178,0.4465971,0.4480439,0.45231593,0.46144915,0.48167872,0.51380503,0.55006856,0.5711139,0.5656888,0.5358356,0.49961552,0.47114465,0.45642522,0.4529982,0.46109012,0.48082042,0.5090124,0.5341895,0.54650086,0.54239607,0.5275993,0.5078059,0.4869344,0.46848738,0.45936993,0.46576515,0.48516154,0.50599664,0.5161639,0.5145828,0.50906,0.50776047,0.50930053,0.50929433,0.5065854,0.5096783,0.5237997,0.54482824,0.5562064,0.5474548,0.5219396,0.49440363,0.47470108,0.4623939,0.45621088,0.46095514,0.48352125,0.51875776,0.54878616,0.5567721,0.54088014,0.5138735,0.48830494,0.46904793,0.45573592,0.4521521,0.46334615,0.48901471,0.5171008,0.53419906,0.5338504,0.5217555,0.5047141,0.48617387,0.46695933,0.45350417,0.45655498,0.4791104,0.51007205,0.52800274,0.52233946,0.49714956,0.46863857,0.44571328,0.43259338,0.42956647,0.44279262,0.47257987,0.51119477,0.5400229,0.54741764,0.53400016,0.51298475,0.49513587,0.48495522,0.4826779,0.49124643,0.5129809,0.5437431,0.57003635,0.57796043,0.5625325,0.5310796,0.4961177,0.4669564,0.4468498,0.434234,0.4263121,0.42001995,0.41414347,0.40902057,0.40566373,0.40379176,0.40230384,0.40106055,0.40120435,0.40352884,0.40753105,0.41214022,0.41706872,0.42149904,0.4243765,0.42449453,0.42304835,0.42155507,0.4213061,0.42158177,0.42233285,0.42379093,0.4268131,0.43097797,0.4356146,0.4402279,0.4447423,0.4491864,0.45346335,0.45839587,0.46477887,0.47186124,0.47699618,0.4766997,0.47191897,0.46687904,0.46943846,0.48115066,0.49776575,0.509397,0.5136421,0.517494,0.53011084,0.55052614,0.5654912,0.5658124,0.5537557,0.5404789,0.52982444,0.51709515,0.49833575,0.4780471,0.46543923,0.463204,0.46708035,0.47273096,0.4833257,0.50358343,0.53116405,0.55299777,0.55782366,0.54466975,0.5240726,0.5055933,0.49238873,0.48285267,0.47681287,0.47608256,0.48002446,0.48452306,0.48650813,0.4891878,0.5005741,0.52265537,0.5471578,0.5580487,0.5482443,0.522662,0.49643746,0.47919473,0.47325623,0.47381866,0.47682938,0.47925767,0.4800249,0.47925004,0.47872293,0.48049808,0.48487565,0.48987082,0.49354613,0.49608478,0.50035506,0.50711876,0.5135047,0.5131668,0.50384456,0.48900843,0.47606567,0.46874687,0.4652368,0.4613373,0.45544854,0.45011735,0.4486266,0.4522785,0.46057653,0.4741719,0.4963553,0.5267572,0.5581724,0.57622665,0.57304806,0.5506795,0.52094144,0.49274328,0.4708084,0.45576122,0.4483075,0.4476832,0.45071745,0.4550093,0.4616184,0.47739413,0.50584716,0.5422554,0.5702409,0.5760059,0.55682,0.5245875,0.49345317,0.4716482,0.4601973,0.45743465,0.46157482,0.4683261,0.47180405,0.46767005,0.45729455,0.4459788,0.4386802,0.43687928,0.43957067,0.4444921,0.44913015,0.4509897,0.44948182,0.44634303,0.44430527,0.4443551,0.44511756,0.44463542,0.4444219,0.4499549,0.4691496,0.50207955,0.53985476,0.56418735,0.56515414,0.5426919,0.5099101,0.47684094,0.45059875,0.43114874,0.41830572,0.40975377,0.4042515,0.40112224,0.40151033,0.40640715,0.41482314,0.42417523,0.43110016,0.43561158,0.44068894,0.4513372,0.4676284,0.48391214,0.49133238,0.4864374,0.4726031,0.45755565,0.4463102,0.4403398,0.437938,0.43721393,0.4359695,0.43279168,0.42899504,0.4299687,0.44400227,0.47256216,0.50717133,0.53032106,0.5327738,0.5168712,0.49531925,0.47598305,0.46120182,0.4507294,0.44629526,0.44988552,0.45738855,0.462829,0.4617715,0.46158102,0.4731473,0.5022756,0.5375631,0.559572,0.55542403,0.52884793,0.49433658,0.4642992,0.44497776,0.4367863,0.4400585,0.4509071,0.46393278,0.47013023,0.46759143,0.45845953,0.45104423,0.4486667,0.45217082,0.4576478,0.4628948,0.46582773,0.46647993,0.46466282,0.4608141,0.45484805,0.44764578,0.4408222,0.43753242,0.44187114,0.45828804,0.48822227,0.5257997,0.55853456,0.5741549,0.57032424,0.5540321,0.5353022,0.51854557,0.50434774,0.49241945,0.48478618,0.48256278,0.48488727,0.48866484,0.49189532,0.493827,0.4952172,0.49601212,0.49733457,0.50077885,0.5091812,0.52083474,0.5305866,0.53070134,0.5200658,0.50309795,0.48821655,0.4795424,0.4775579,0.4799039,0.48467684,0.48983836,0.49353656,0.49571493,0.49960902,0.5103001,0.52927405,0.55026406,0.5628791,0.56058306,0.54768753,0.53298986,0.5230116,0.5159318,0.5084276,0.49844155,0.48753837,0.47692445,0.46807978,0.46397474,0.47002336,0.49149612,0.5256962,0.5603232,0.57608265,0.5639568,0.5298957,0.4941741,0.47130772,0.4659294,0.4718732,0.48534808,0.5026126,0.5202555,0.5302631,0.5285125,0.51638824,0.50160855,0.4907428,0.48638034,0.4878099,0.4926388,0.49917808,0.50504035,0.5089457,0.509916,0.50882125,0.5071715,0.50640136,0.50702924,0.5097167,0.5165164,0.5304026,0.549563,0.56660956,0.5697884,0.55532676,0.52731204,0.4969517,0.47021046,0.44932687,0.4334685,0.4242982,0.42321417,0.42910758,0.43825603,0.4463962,0.452065,0.45462823,0.4546392,0.45224607,0.45056713,0.45358774,0.46332312,0.4754269,0.48093084,0.47382984,0.45595813,0.43686068,0.42523646,0.42380032,0.42873704,0.43471122,0.43971965,0.44416106,0.44986454,0.4576929,0.47084877,0.4937621,0.52712774,0.5627315,0.58522725,0.5859871,0.5690908,0.54878324,0.534693,0.5274988,0.5232815,0.5213692,0.52410716,0.5315711,0.53918886,0.54206526,0.53875023,0.5318026,0.52337974,0.5142805,0.5061535,0.5039859,0.51381737,0.5352029,0.5595141,0.57472163,0.57629126,0.567033,0.55177027,0.5304753,0.50428903,0.48109686,0.4753739,0.4932023,0.52609485,0.5525887,0.55933875,0.5464522,0.5272765,0.5108995,0.4992095,0.4894232,0.48213485,0.48057437,0.48483446,0.49121395,0.49809194,0.5114083,0.5371499,0.57013416,0.5908403,0.5821516,0.5427313,0.48828897,0.43503776,0.39150453,0.35881683,0.33709598,0.32445017,0.31523475,0.3017975,0.2800584,0.2524525,0.22504617,0.20323487,0.18822992,0.18119545,0.18556865,0.21060534,0.2575678,0.3162376,0.3599211,0.37064397,0.3451657,0.30206177,0.25853738,0.22513895,0.19990642,0.17947114,0.1613626,0.14619468,0.13706487,0.1410947,0.17109549,0.23479454,0.32515112,0.41267207,0.46602845,0.46890593,0.43191954,0.37569425,0.31898832,0.2732859,0.24871188,0.25286016,0.2814342,0.31545207,0.33353186,0.3327934,0.33504114,0.36370507,0.4201585,0.47491106,0.49773252,0.47613266,0.42449388,0.36176574,0.30568865,0.2671914,0.25823584,0.2807121,0.3246719,0.36432496,0.3795708,0.36350965,0.32945302,0.29300174,0.26486465,0.24506295,0.23052602,0.21871506,0.20983881,0.20496659,0.2044007,0.20635164,0.20812266,0.20719653,0.2041649,0.20473869,0.2207167,0.26459214,0.3360486,0.4164519,0.47484437,0.49240768,0.4698825,0.42448306,0.37047064,0.3173605,0.27004823,0.23418367,0.21087308,0.19717734,0.18704672,0.1777641,0.16945638,0.16402614,0.16117968,0.16086495,0.16648449,0.18769021,0.23084576,0.29024503,0.34308407,0.3668131,0.35231778,0.31204656,0.26433417,0.22297587,0.19074976,0.16678923,0.1500092,0.14004529,0.13525018,0.13690336,0.15340823,0.20002921,0.28057784,0.37794137,0.45405915,0.48229215,0.4588352,0.4060118,0.34446183,0.29039276,0.25275567,0.24323554,0.2641438,0.30274275,0.33452854,0.3447521,0.3447423,0.35840452,0.40016928,0.4529908,0.48898304,0.48560485,0.44550273,0.3822693,0.3155228,0.26170787,0.23664355,0.24748623,0.28718746,0.33274958,0.3595039,0.35532287,0.32751605,0.29253396,0.26421717,0.24691959,0.23777233,0.23152234,0.2236979,0.21301937,0.19992864,0.18601942,0.17155339,0.15697426,0.14275865,0.1335426,0.13858713,0.17315406,0.2438569,0.340798,0.43112478,0.484218,0.48520744,0.44646147,0.38802648,0.32919216,0.27936792,0.24322899,0.21997906,0.20568763,0.19416618,0.18086173,0.16445667,0.14729975,0.13288863,0.12467084,0.12675971,0.14538038,0.1863849,0.2460407,0.3074409,0.3454437,0.34535775,0.31022966,0.25876036,0.2083397,0.16834657,0.13877164,0.117239036,0.10136428,0.08974955,0.0844341,0.093244016,0.13209416,0.20903325,0.31504497,0.4148755,0.47535995,0.47925678,0.43998265,0.37887442,0.3176438,0.26992354,0.2483561,0.25950578,0.295608,0.33427286,0.35325822,0.35349473,0.35782126,0.38904426,0.4423934,0.48956355,0.5032219,0.4776106,0.42589173,0.3643547,0.3080974,0.27017054,0.26532587,0.29425573,0.34268215,0.37957728,0.38502797,0.3550125,0.30700853,0.25709558,0.21586718,0.18411447,0.16268961,0.15351601,0.15829809,0.17447829,0.19446778,0.20973943,0.21541394,0.21229716,0.20615093,0.20625778,0.225632,0.27307245,0.34485707,0.4177679,0.46450695,0.4689368,0.43753567,0.38598847,0.32954362,0.27609316,0.23134024,0.19842678,0.17658676,0.16113286,0.14652161,0.13140817,0.11816349,0.111334026,0.11275677,0.12306734,0.14344259,0.17988706,0.23360872,0.2960954,0.34351858,0.35693744,0.33109352,0.2826579,0.2309566,0.18984538,0.1603186,0.13935591,0.12354642,0.1118383,0.10514476,0.10848709,0.13349546,0.19147885,0.28046393,0.3763531,0.4451319,0.4657068,0.4416363,0.39260563,0.33668694,0.28729954,0.2554452,0.25288078,0.2787476,0.31579384,0.33825135,0.33727372,0.33130682,0.3475182,0.3949519,0.449442,0.48032072,0.46883252,0.42297292,0.35798988,0.29321465,0.24415596,0.22754866,0.2477928,0.29394743,0.33761558,0.35488632,0.3361169,0.2927635,0.24102734,0.19410878,0.15771653,0.13650382,0.13691477,0.16168916,0.20565975,0.25294372,0.2891945,0.30709305,0.31021866,0.30229223,0.28601834,0.2645232,0.24941866,0.2543682,0.28498062,0.32956538,0.3685081,0.38732922,0.38572514,0.37132832,0.3512297,0.3277692,0.30111578,0.2725878,0.24487938,0.2207219,0.20192307,0.18943931,0.18418115,0.18560152,0.19092417,0.19460838,0.19256146,0.18596832,0.18256597,0.19007312,0.20856486,0.22748244,0.23479028,0.22820638,0.21914029,0.2209258,0.23512739,0.24908108,0.24872333,0.2320392,0.20953073,0.193596,0.1879496,0.1870354,0.18157618,0.16597451,0.14154379,0.11708731,0.10445585,0.112260185,0.13967775,0.17666174,0.20958644,0.22912522,0.23275983,0.2230038,0.20293836,0.17595212,0.14598127,0.11896107,0.10023592,0.092868954,0.09572348,0.10537815,0.119190015,0.13793577,0.16394669,0.19623531,0.22760427,0.24871147,0.25390813,0.24437356,0.22391832,0.19612016,0.16357078,0.13125218,0.10619915,0.09428977,0.09509491,0.101356864,0.10349783,0.09674295,0.08461351,0.076982886,0.08412042,0.11088139,0.1537324,0.20299251,0.24868225,0.286275,0.3165917,0.341598,0.36025906,0.3696556,0.3678803,0.35630307,0.338065,0.3166968,0.29452148,0.273639,0.25616798,0.24446772,0.23903835,0.23766474,0.23661791,0.23402363,0.23082566,0.22857249,0.22691847,0.22479461,0.2243511,0.23041736,0.24639268,0.2679907,0.28596053,0.29079118,0.27947754,0.25459865,0.22289507,0.19134952,0.16531605,0.14671648,0.13474894,0.12870856,0.13030688,0.14399278,0.17198013,0.21098216,0.25066623,0.28095686,0.29595396,0.29667443,0.28530228,0.26418242,0.23531479,0.20465825,0.18151444,0.17623639,0.19257627,0.22343753,0.25094578,0.25780746,0.23747636,0.19943123,0.160695,0.13715336,0.13696569,0.16004288,0.1985531,0.23916762,0.2700701,0.28610268,0.28974614,0.28544602,0.27569118,0.261157,0.2418422,0.21816874,0.19055195,0.16201513,0.13868739,0.12793683,0.13182011,0.14399005,0.15231015,0.1479721,0.13085078,0.10847151,0.0885934,0.0763651,0.07544864,0.09230103,0.13077335,0.18686008,0.24383509,0.28438786,0.29930094,0.29421863,0.27967548,0.26464596,0.25246784,0.24473369,0.24387264,0.25136408,0.26587832,0.2812488,0.29151356,0.29270947,0.2856133,0.27213016,0.2561805,0.24231921,0.23662202,0.24210174,0.25690416,0.27339327,0.28361353,0.28388634,0.27735856,0.27051035,0.2675986,0.26811424,0.2682339,0.26512113,0.2575113,0.24566142,0.23106807,0.21923308,0.2178445,0.23074381,0.2511756,0.2657682,0.26590896,0.2558643,0.24706094,0.24566674,0.24710937,0.24319546,0.23234077,0.22309889,0.22587925,0.24465553,0.27166608,0.29535708,0.30703497,0.30777964,0.30337504,0.3001348,0.2983939,0.2935132,0.2786727,0.25156233,0.21749829,0.18730247,0.17195296,0.17686771,0.20113023,0.23709632,0.2741051,0.30139172,0.3122888,0.3043472,0.28009728,0.24687408,0.21816118,0.20661628,0.21838339,0.24659772,0.2796609,0.30646285,0.322633,0.32526267,0.31258124,0.28522626,0.2508461,0.22184499,0.20745866,0.20753264,0.21371715,0.217028,0.21321361,0.20354532,0.19178118,0.1825767,0.179808,0.18722655,0.20519447,0.23111562,0.25715482,0.27692834,0.28653744,0.28830338,0.28492835,0.27961004,0.27442226,0.27253506,0.2757434,0.2828419,0.28959084,0.2915856,0.28663456,0.27444315,0.2553468,0.2303123,0.20279194,0.17952158,0.16624202,0.16308707,0.16213357,0.15728496,0.15082538,0.15703799,0.18521655,0.23019452,0.2681208,0.27890348,0.25988355,0.23145579,0.21527785,0.2197839,0.23398261,0.24386172,0.24220206,0.23349188,0.22410955,0.221027,0.22909434,0.2534794,0.29239705,0.33693257,0.37376484,0.39458632,0.3989505,0.3924916,0.3825445,0.37507746,0.37307668,0.37614998,0.3817562,0.38731316,0.3909891,0.39145613,0.3869761,0.37530217,0.35396627,0.3208618,0.2761264,0.22469036,0.17801623,0.15004809,0.14828347,0.16644257,0.18866743,0.20348133,0.21332072,0.22792165,0.24853492,0.2618049,0.2516146,0.21471436,0.16471526,0.12015564,0.09248027,0.08157195,0.08170561,0.08836141,0.10226049,0.12833638,0.1692336,0.22057848,0.269298,0.3028014,0.31531656,0.31152186,0.2988413,0.2826413,0.26304993,0.23881865,0.20963591,0.17816508,0.1491024,0.12809782,0.11994096,0.12584724,0.14203994,0.15958087,0.16940106,0.16587286,0.14993902,0.12625094,0.10124444,0.07983469,0.06487946,0.056231406,0.051988598,0.049765658,0.048105136,0.04653743,0.04511076,0.043877214,0.04276817,0.041714948,0.040756244,0.03999046,0.03945451,0.039061595,0.038684838,0.0382354,0.03768897,0.03707469,0.036472548,0.036008727,0.035771016,0.035759363,0.035886213,0.03608597,0.036346838,0.03667872,0.037025396,0.037284937,0.03739668,0.037411436,0.037456047,0.037613343,0.037855167,0.038032833,0.037976444,0.03755897,0.036767844,0.035676528,0.03443427,0.033203796,0.03213471,0.031284384,0.030607916,0.030000359,0.029410176,0.028878637,0.028475389,0.028219908,0.028057495,0.02792687,0.027770804,0.027558563,0.027249595,0.0268455,0.026347132,0.025785478,0.025163615,0.024530664,0.02393314,0.023434892,0.02304773,0.022776395,0.022614757,0.022536986,0.022457488,0.022236153,0.021763518,0.021018839,0.020094676,0.019135548,0.018286927,0.017648326,0.017265268,0.01712379,0.01715914,0.017267743,0.017345818,0.017316995,0.017141452,0.016799942,0.016295142,0.015699057,0.01517154,0.014915825]