[0.028561935,0.02864234,0.029498307,0.03228854,0.03788705,0.04643573,0.0572444,0.068585396,0.07792599,0.08414519,0.09103978,0.10835615,0.14431907,0.19670247,0.24922621,0.2840387,0.2936987,0.28713512,0.27833936,0.27681223,0.28158197,0.28685355,0.28666976,0.2785206,0.26244834,0.24187164,0.22350776,0.21460146,0.21631052,0.22187811,0.22413945,0.22467767,0.23306026,0.25424436,0.28038964,0.2949164,0.2862219,0.25508094,0.2127598,0.17269762,0.14416371,0.12938195,0.12556152,0.12902586,0.13926373,0.15604587,0.17561978,0.18936254,0.19331874,0.1935425,0.201984,0.22295167,0.24767224,0.2631135,0.26262844,0.24968873,0.23139851,0.21466316,0.20454192,0.20443235,0.21423765,0.23002845,0.24525549,0.254511,0.25581917,0.25174502,0.24693482,0.24438733,0.24442549,0.24552284,0.24803226,0.2528552,0.25933588,0.2630594,0.25905246,0.2472874,0.23206133,0.21823971,0.20498933,0.1902392,0.17482571,0.1651695,0.16609275,0.1756403,0.18613477,0.19049506,0.1870817,0.17790149,0.16627188,0.15518628,0.14950953,0.15379436,0.16975142,0.19146092,0.20986736,0.21784437,0.2173407,0.21571805,0.21988441,0.2296933,0.23949344,0.24390216,0.24169697,0.2355228,0.22790174,0.22007696,0.2119985,0.20241036,0.1888793,0.16911842,0.14500143,0.12264327,0.10811951,0.10244307,0.10171112,0.10357622,0.1096844,0.12384102,0.14503479,0.16692539,0.18147598,0.18604805,0.18418944,0.18200643,0.18127972,0.179335,0.17205441,0.15938596,0.14375952,0.12786365,0.11181718,0.095691144,0.081118345,0.072002836,0.07159122,0.08000627,0.09318753,0.10536972,0.11226747,0.11315975,0.1099515,0.10506923,0.0998592,0.094428875,0.08849716,0.08196803,0.075313695,0.06909317,0.06402929,0.060933907,0.061436635,0.06767369,0.08092348,0.09971154,0.12013381,0.13975388,0.16102713,0.18911906,0.22529776,0.26250896,0.29077604,0.30485597,0.30835178,0.3075219,0.3054334,0.30052242,0.29174626,0.2813499,0.27321085,0.26843423,0.26563665,0.26307178,0.26123703,0.26034376,0.2594674,0.25688335,0.25241187,0.24744906,0.24330635,0.2413829,0.24329026,0.24994755,0.25792685,0.25950006,0.24820451,0.22458707,0.19604385,0.17076564,0.15502012,0.15332988,0.16863288,0.19766815,0.22976875,0.252133,0.25872734,0.25207618,0.2380607,0.22073321,0.20409715,0.19478463,0.19994389,0.22021645,0.24889886,0.27638152,0.2965341,0.30595395,0.302272,0.28407905,0.25395772,0.220312,0.19428937,0.1847627,0.19295335,0.21252567,0.23408647,0.25080785,0.2611234,0.26666614,0.2697117,0.27142748,0.27232185,0.27220976,0.26926848,0.25906286,0.23698287,0.20241678,0.16283506,0.13083942,0.11894066,0.13136183,0.16246255,0.1977096,0.22270067,0.22925563,0.21885556,0.19741118,0.17168577,0.14797074,0.13282585,0.1299269,0.13617033,0.1426556,0.14193262,0.1344833,0.12834667,0.13183281,0.14628227,0.16534539,0.18003362,0.18639535,0.18599373,0.18418205,0.1836171,0.18570434,0.18926477,0.19395572,0.19773875,0.1992519,0.1975844,0.19410925,0.19113739,0.19062455,0.19281197,0.19668712,0.2001927,0.20122749,0.19637084,0.18328176,0.16140985,0.13476609,0.108617134,0.08747869,0.07224007,0.061910238,0.055051204,0.051442068,0.05165619,0.055654753,0.06128742,0.064525835,0.062192503,0.054948304,0.047470495,0.045749027,0.05275568,0.06693053,0.082630575,0.094200194,0.098554075,0.09665937,0.09120825,0.08474079,0.078391485,0.0725162,0.067224935,0.06265458,0.059016112,0.056459133,0.055098116,0.055071745,0.05682272,0.06093778,0.06731986,0.07450777,0.08088534,0.086782604,0.09582478,0.111346364,0.13354973,0.15868793,0.18370329,0.2083802,0.23280688,0.25478297,0.26828352,0.2702668,0.26212263,0.25213382,0.24766618,0.2524337,0.26343998,0.27569067,0.28474975,0.28862885,0.28745517,0.28302488,0.2790001,0.27769092,0.2795384,0.28101003,0.28019392,0.27552485,0.2674138,0.25290403,0.23139036,0.20720142,0.19124995,0.19163029,0.20745552,0.23122986,0.25640056,0.28100395,0.30341175,0.3198629,0.32583454,0.31968105,0.30275798,0.27769712,0.2484139,0.22007708,0.19840847,0.18588674,0.18101032,0.17882966,0.17449121,0.1647356,0.1495964,0.13267879,0.12098866,0.12228594,0.14065506,0.17272793,0.20788483,0.23355468,0.24212478,0.23464744,0.21836615,0.20073499,0.18484707,0.1697837,0.15398669,0.13790606,0.123472564,0.112293325,0.104468755,0.099437684,0.09700409,0.09788654,0.10244328,0.10962137,0.11663935,0.12087107,0.12130193,0.11921662,0.11694556,0.11676124,0.119533665,0.12442414,0.1302693,0.13812007,0.15290612,0.17854476,0.21347554,0.24775285,0.27199563,0.28270665,0.28571784,0.28801617,0.29367566,0.30118653,0.30717358,0.30861375,0.30479562,0.29695812,0.2874436,0.27777717,0.26839662,0.2591584,0.25146797,0.24707915,0.246852,0.24734692,0.24305779,0.22793932,0.20164615,0.17012183,0.1458916,0.13979243,0.15535237,0.18509094,0.21677,0.24021022,0.25247797,0.2562503,0.2562946,0.25533053,0.25230628,0.2431699,0.22617508,0.20627315,0.19513626,0.20256518,0.22919273,0.2653724,0.298677,0.32123432,0.33147505,0.33171618,0.3239965,0.3100071,0.29169595,0.27321735,0.25880125,0.24965948,0.2416334,0.2284509,0.20768704,0.18508093,0.17061774,0.17037003,0.17972785,0.18674201,0.18167077,0.16505365,0.1468377,0.13740695,0.13991801,0.14837773,0.1537409,0.14993902,0.13757287,0.12214018,0.11111175,0.1093964,0.11680695,0.1270802,0.13219167,0.1275464,0.115793206,0.10437865,0.100179344,0.10457852,0.11310317,0.11903083,0.11792954,0.10991455,0.09828683,0.08668298,0.07690799,0.06907453,0.06268715,0.057703987,0.05439654,0.052924123,0.052819416,0.05330434,0.05364303,0.05365759,0.05361894,0.054252196,0.056327224,0.060320366,0.06604331,0.073246606,0.08257852,0.0951652,0.11083444,0.12652569,0.13869154,0.14665495,0.15451156,0.16745518,0.18743174,0.2105264,0.22992396,0.24100043,0.24619734,0.25327623,0.26815376,0.28694665,0.2981205,0.292624,0.2730213,0.25021672,0.23388328,0.22700651,0.2287032,0.23717839,0.24754798,0.25069633,0.23822384,0.2104126,0.17646088,0.14817518,0.13222432,0.13045864,0.13941416,0.15441541,0.16818677,0.17832415,0.18516444,0.19320108,0.20321898,0.21426499,0.22273588,0.22672595,0.22478603,0.2173403,0.20524251,0.1903549,0.17407624,0.15746696,0.14069511,0.12450615,0.11075509,0.103595145,0.10660645,0.121092655,0.14282297,0.16533305,0.18229727,0.19208926,0.19631086,0.19850574,0.2010615,0.20491402,0.20922285,0.2125798,0.21388708,0.2135941,0.21291219,0.2127149,0.21223211,0.21009307,0.20572026,0.19999771,0.1943686,0.1896434,0.18628816,0.18467242,0.18507747,0.18669283,0.18786715,0.18741484,0.18555047,0.18354219,0.1822152,0.18185715,0.18263505,0.1850764,0.18934722,0.19477655,0.20040153,0.2054327,0.20925146,0.21080577,0.20935826,0.20529038,0.20017427,0.1953936,0.19126616,0.18763888,0.18482806,0.18402843,0.18605267,0.19093037,0.19736178,0.20375828,0.20809676,0.20897532,0.20595302,0.20058739,0.19553898,0.19295667,0.19310884,0.19448508,0.19590138,0.1968857,0.19836622,0.20051931,0.2036683,0.20690922,0.20963913,0.21018536,0.20761164,0.20144004,0.1930628,0.18439923,0.17779092,0.17480345,0.17669655,0.18325073,0.1929376,0.20216908,0.20770134,0.2075221,0.20277424,0.19601583,0.19066553,0.18897317,0.19203061,0.19888799,0.20707506,0.2132151,0.21486765,0.21169305,0.20561098,0.19955759,0.19580448,0.19513696,0.19646496,0.1981308,0.19881356,0.19900525,0.19985038,0.20197737,0.20424528,0.20506173,0.20371993,0.20072109,0.1967584,0.19219504,0.1875755,0.1839815,0.1822288,0.18201369,0.18209101,0.1817648,0.18165444,0.18275522,0.18525894,0.18792737,0.18994255,0.19104968,0.19185026,0.19192182,0.190729,0.18811744,0.1852256,0.18335998,0.18309446,0.1842546,0.18650506,0.18930775,0.19181333,0.19302495,0.19353063,0.19522028,0.19983827,0.20628214,0.2109675,0.21089126,0.20611079,0.20022929,0.1972183,0.19981235,0.20840073,0.2224899,0.24157338,0.26453266,0.28875732,0.30896267,0.3196588,0.31999087,0.31759858,0.32928059,0.3663155,0.4249201,0.4785982,0.50238967,0.4861728,0.44579247,0.40080515,0.3660051,0.34374395,0.33430457,0.33527598,0.34311715,0.3515738,0.3556002,0.35325277,0.34529004,0.33483577,0.32548127,0.32165304,0.32417557,0.33071053,0.33508956,0.33346763,0.3247485,0.31076527,0.29168442,0.26691112,0.23815657,0.21290171,0.20067728,0.2057019,0.22232707,0.23971133,0.2493159,0.24903764,0.24069886,0.22727764,0.21276748,0.20181441,0.19761352,0.1982305,0.19877309,0.19550282,0.18939269,0.18320656,0.17792185,0.17243744,0.16598149,0.15955822,0.15388058,0.14924783,0.14721656,0.15158284,0.16568236,0.18809754,0.21450907,0.23995893,0.26223138,0.2777246,0.28277802,0.27421013,0.25453004,0.22967334,0.20707901,0.19186892,0.18697883,0.19222875,0.20399244,0.21580721,0.22283661,0.22648956,0.23283021,0.24812765,0.27396777,0.3131988,0.36628136,0.4286969,0.4805824,0.5021292,0.48635098,0.4491229,0.4117858,0.38730928,0.37482962,0.36863124,0.36437133,0.3604722,0.35651505,0.3525171,0.34882903,0.34557948,0.3435198,0.34393588,0.3488549,0.35767862,0.36726287,0.37243155,0.3710114,0.3641921,0.35563257,0.34744915,0.33974934,0.332134,0.32569644,0.32296467,0.32541966,0.33193576,0.3389146,0.34321502,0.34371924,0.3418003,0.3390051,0.3370132,0.33687976,0.33962497,0.34405482,0.34711447,0.34549642,0.33885586,0.33017957,0.3231711,0.3195472,0.3181289,0.31665555,0.3135841,0.3094721,0.30676845,0.30865204,0.31688574,0.33025315,0.34465948,0.35485795,0.35727632,0.35144696,0.34073913,0.3298564,0.3226765,0.32008722,0.321323,0.32560816,0.33283702,0.34230635,0.3518084,0.35873365,0.36221743,0.36366072,0.36500642,0.36798444,0.375833,0.39593327,0.43339217,0.48153386,0.51792294,0.5198665,0.4834081,0.42768845,0.37839165,0.34852704,0.33542165,0.33020905,0.3281804,0.32918003,0.3341168,0.3412265,0.34756216,0.35017443,0.34936988,0.34740707,0.34851477,0.35305348,0.35775587,0.3554616,0.34440002,0.32893005,0.31895813,0.31947532,0.3287799,0.33977258,0.34774032,0.35154292,0.35205135,0.34817562,0.3388983,0.3258295,0.3146278,0.31026176,0.31298575,0.3183348,0.32126668,0.3201795,0.31635997,0.31243357,0.30951276,0.30738947,0.30444384,0.30018294,0.2959497,0.29446772,0.29714477,0.3027056,0.30874774,0.31354618,0.3171353,0.32046214,0.32518935,0.33322704,0.34434962,0.35495165,0.35871089,0.35285088,0.34065858,0.3306074,0.32865283,0.33492243,0.34351727,0.34884223,0.3482953,0.3441247,0.33947197,0.33753884,0.33860555,0.34129694,0.34361354,0.3479713,0.3630345,0.39644536,0.4437598,0.4836893,0.49318278,0.4657587,0.41725418,0.37163457,0.3425268,0.32944652,0.3236266,0.3190014,0.31288135,0.30586174,0.29789636,0.28958178,0.28154376,0.27620995,0.27617154,0.28398484,0.29768696,0.31167376,0.31740996,0.31218302,0.29911152,0.28646684,0.27888557,0.27705064,0.27833533,0.28115332,0.28517315,0.29011676,0.29512677,0.2985558,0.29965568,0.29822436,0.2950776,0.2909685,0.2867086,0.28252324,0.27814186,0.2732565,0.26838025,0.26493737,0.2642496,0.26613605,0.2691268,0.27149883,0.27285016,0.27360126,0.27409163,0.27356672,0.27103388,0.2666876,0.26322058,0.26509356,0.27611497,0.29540676,0.31681797,0.3318133,0.3363638,0.33298287,0.32847577,0.32781422,0.33218858,0.3401855,0.35087335,0.36424372,0.37984833,0.39463678,0.40385708,0.4038936,0.39541367,0.38411215,0.37893477,0.39014983,0.42164937,0.46595812,0.50175035,0.5093238,0.48332033,0.4391384,0.3975478,0.37167802,0.36051866,0.357138,0.35538173,0.35342202,0.35140812,0.350049,0.35013115,0.3525611,0.35805312,0.36575887,0.3742229,0.38103488,0.3847148,0.3833135,0.3765943,0.36487964,0.35108897,0.33818054,0.3294411,0.32578123,0.32660046,0.32970357,0.3334833,0.33742926,0.34172013,0.34602225,0.3488307,0.34893194,0.3462516,0.34219876,0.33806065,0.33441582,0.33116376,0.32806012,0.32505676,0.32242373,0.32108784,0.3221368,0.32584408,0.33100775,0.33528852,0.33679554,0.33527157,0.33255854,0.3310497,0.33233202,0.33609855,0.3413278,0.34584865,0.34767532,0.3446139,0.33758083,0.3290625,0.322582,0.3188548,0.3174354,0.31782433,0.32133546,0.32935512,0.3411806,0.35312364,0.3603684,0.3607119,0.355863,0.35104144,0.3529707,0.36957595,0.40427458,0.44957677,0.4842924,0.4878393,0.45600975,0.40663752,0.3633395,0.33939794,0.33203888,0.33165202,0.33053485,0.32636723,0.32038248,0.31425127,0.3089212,0.3046094,0.30306938,0.306729,0.31706414,0.33046123,0.34064707,0.3415641,0.3336612,0.3208165,0.30766678,0.29441747,0.2805398,0.2671831,0.2583699,0.257236,0.26342484,0.2738502,0.28405854,0.29018605,0.28941348,0.28227177,0.2725928,0.2663786,0.267357,0.27525315,0.2853311,0.29277143,0.2945893,0.2919902,0.28739393,0.2838128,0.28185502,0.28116944,0.27963868,0.275991,0.26969358,0.26261654,0.25779033,0.25852147,0.2667719,0.2821846,0.30172718,0.3196539,0.32974407,0.32867917,0.31846753,0.3057469,0.29791594,0.2994453,0.30930582,0.32179156,0.3295171,0.32761428,0.31626222,0.3009002,0.28924444,0.28705266,0.29500994,0.31233874,0.34139088,0.3870084,0.4446913,0.49481997,0.51155394,0.48464167,0.4284701,0.37063703,0.33120105,0.31189802,0.30379018,0.2976797,0.29187843,0.2875289,0.28592598,0.28581008,0.28672025,0.28966758,0.29644015,0.30744255,0.3194845,0.3278221,0.3281878,0.32186714,0.31355086,0.30857262,0.30752993,0.30757928,0.30596158,0.30281186,0.3008691,0.3017659,0.30511546,0.3088448,0.31164378,0.314024,0.31719494,0.3222153,0.3278074,0.3314524,0.3304977,0.32525375,0.31926468,0.31697384,0.32043263,0.3275868,0.3344424,0.33793437,0.3380942,0.33694038,0.33871746,0.3489795,0.37584507,0.4200628,0.47157896,0.5066137,0.50854725,0.47613302,0.42771062,0.3811703,0.34656635,0.3227005,0.3063936,0.29526103,0.28947186,0.28920987,0.29394677,0.30115113,0.30850515,0.31395027,0.31685564,0.31513163,0.30668607,0.2911236,0.2762049,0.2784072,0.31397927,0.38138735,0.45414814,0.49663147,0.49187362,0.4515262,0.40042055,0.35431513,0.31703627,0.29099798,0.28239956,0.29373804,0.31610247,0.33475325,0.3404775,0.334632,0.32363963,0.31091535,0.2979373,0.28581965,0.2784309,0.27583826,0.27609393,0.27559224,0.2763956,0.2825648,0.2972624,0.31694815,0.33471933,0.34428146,0.34412637,0.33618304,0.32352853,0.30883905,0.2946144,0.28327525,0.27605256,0.27214575,0.26870942,0.2625114,0.25127023,0.23463266,0.21413802,0.19269072,0.17375101,0.15996899,0.1530378,0.15343477,0.1605132,0.17159212,0.18215396,0.188219,0.18859273,0.18575335,0.18268998,0.18115301,0.18066019,0.1811521,0.18283741,0.18608767,0.18919878,0.19039829,0.18885857,0.18675297,0.1868608,0.19203502,0.20331337,0.22015887,0.23855835,0.25243393,0.25704068,0.25482866,0.2555523,0.27178642,0.31044412,0.36870992,0.43259636,0.48251602,0.502471,0.4908692,0.4619054,0.4351506,0.42268252,0.4234406,0.42974672,0.43358147,0.4320096,0.42517498,0.41612914,0.40686798,0.3980517,0.38848767,0.37831774,0.37092495,0.37106952,0.38195488,0.40093115,0.42244115,0.4399933,0.45141163,0.4572649,0.46060252,0.46360815,0.46797705,0.47407046,0.48134586,0.4874653,0.4890764,0.48358074,0.47114912,0.45704308,0.450151,0.4607371,0.4897534,0.5261731,0.5483831,0.5425585,0.5100073,0.4667752,0.42902532,0.40758577,0.4083279,0.43361202,0.47662792,0.5199189,0.5427527,0.5380599,0.5138502,0.4870082,0.46645343,0.45403263,0.4458557,0.440338,0.4362371,0.4341116,0.43467405,0.4383334,0.44257578,0.4424188,0.4340427,0.41913855,0.40336597,0.39150795,0.38228723,0.37247953,0.36167207,0.3548645,0.35640797,0.3670706,0.38577262,0.4138203,0.45095715,0.49023947,0.51715463,0.5219559,0.50608844,0.48172438,0.45940268,0.44309488,0.43136382,0.4211954,0.40998292,0.3937718,0.37165108,0.34660923,0.32630894,0.3167907,0.32013938,0.33528265,0.3594819,0.38827255,0.41300154,0.42454806,0.41748568,0.3941755,0.3621066,0.33082917,0.3095356,0.3058313,0.32199994,0.3516731,0.38101426,0.39630353,0.39090493,0.3672521,0.33581224,0.31233373,0.31458786,0.34928748,0.40513453,0.45324346,0.4697238,0.44870713,0.40577564,0.36080965,0.33024907,0.3237714,0.345683,0.38817263,0.4301344,0.44692588,0.4290872,0.38747728,0.3444197,0.31624556,0.30949664,0.3229164,0.35254416,0.3904781,0.4259487,0.45031354,0.4605119,0.45984992,0.45257023,0.44325057,0.43524906,0.43267265,0.4372097,0.4473398,0.45732665,0.4613692,0.45711386,0.4480075,0.44215068,0.44806457,0.47009864,0.50203055,0.5291584,0.53515416,0.5162472,0.48189017,0.4477987,0.42254552,0.40724814,0.40034422,0.4019283,0.41043875,0.41968718,0.4209956,0.41044673,0.39102507,0.3721029,0.36195573,0.36719617,0.38739574,0.41680193,0.4419179,0.45244256,0.44615874,0.4340086,0.42651594,0.42825827,0.43269822,0.4341077,0.43004653,0.42476586,0.42184243,0.42295837,0.42608914,0.42851058,0.4300735,0.43462172,0.44999376,0.47859883,0.51388544,0.5383558,0.53945225,0.51557356,0.47828826,0.43899465,0.40741012,0.39222577,0.40317833,0.43966892,0.48492262,0.5124148,0.5076891,0.47757125,0.44360527,0.4226447,0.41949117,0.42941955,0.44536093,0.45989954,0.4660376,0.46049085,0.4457229,0.42805457,0.4123864,0.40066108,0.39392757,0.39392176,0.4007547,0.41026974,0.41544345,0.41170976,0.3997887,0.3849896,0.3742539,0.37560847,0.3958054,0.43290862,0.47198334,0.4901806,0.47621062,0.43846568,0.39889953,0.37285817,0.3621978,0.3612211,0.3651553,0.37205413,0.3777028,0.3777739,0.36925995,0.3539517,0.33567157,0.320445,0.31571352,0.32660052,0.3508294,0.3762791,0.3906587,0.38883546,0.37631333,0.35882297,0.34035787,0.32306433,0.31544563,0.32398698,0.3476098,0.37023744,0.37592876,0.35839367,0.32815036,0.30171224,0.2933652,0.31159398,0.35537532,0.41402885,0.4648863,0.48864427,0.47846565,0.4452224,0.4054102,0.37395534,0.3615692,0.37459013,0.40853634,0.44513774,0.4599583,0.44110808,0.3963437,0.34636164,0.30886054,0.29268587,0.30029005,0.3271457,0.36215186,0.38975027,0.40582478,0.42050934,0.44754183,0.48458943,0.5119607,0.5135803,0.49052367,0.4596671,0.43368176,0.41710463,0.4089651,0.4084506,0.41261485,0.4164718,0.42102194,0.4357177,0.4675385,0.5083104,0.5344718,0.53029233,0.49871323,0.4604542,0.4313613,0.41617513,0.40896344,0.40352365,0.3952228,0.38265887,0.36785045,0.3569133,0.3560811,0.36784518,0.3886901,0.41280806,0.43397495,0.44789162,0.45114195,0.4442337,0.43168876,0.42081323,0.4154731,0.41387144,0.41041657,0.40185466,0.38897178,0.37541175,0.3635025,0.35478595,0.3501812,0.35172808,0.36104798,0.38043126,0.41213748,0.4553504,0.50053763,0.5298512,0.528297,0.49603307,0.44916645,0.40772137,0.384945,0.38685906,0.41488075,0.4616206,0.5070258,0.5247362,0.5023218,0.45024228,0.39514697,0.35866252,0.34786296,0.35733083,0.37651455,0.3948932,0.40263426,0.3973707,0.38420895,0.37524393,0.37864867,0.3952427,0.4173517,0.43515816,0.4408413,0.43251142,0.41418266,0.39377937,0.37735915,0.3663324,0.35955787,0.35950518,0.37494037,0.41066352,0.4599067,0.5010856,0.51777667,0.5074267,0.48536536,0.46568117,0.454312,0.4461615,0.4347898,0.4171239,0.39533833,0.3746862,0.3595715,0.35127112,0.34823093,0.34921947,0.3557627,0.36941612,0.38869438,0.40623328,0.41441548,0.40930545,0.3943099,0.37510744,0.356781,0.34161258,0.3319229,0.32990035,0.33625916,0.3476329,0.3577648,0.36071062,0.35507306,0.34674045,0.34766814,0.37049675,0.41729864,0.47412992,0.51438427,0.51692444,0.47971252,0.4214846,0.36697516,0.33482027,0.3339018,0.3665911,0.42444798,0.4858818,0.52162695,0.51625556,0.47933462,0.438627,0.41727695,0.4200709,0.43729734,0.45489016,0.46392414,0.4603956,0.4470494,0.42918178,0.4129287,0.4006822,0.39210832,0.3856429,0.37979904,0.3733976,0.36497292,0.35486504,0.34545127,0.34156647,0.34663653,0.36242425,0.38844514,0.42587134,0.47118232,0.5138425,0.5334522,0.51689786,0.46631107,0.4014821,0.34237787,0.3012161,0.2818148,0.28579292,0.31249332,0.35436785,0.3977754,0.42892075,0.4420705,0.44092047,0.43459025,0.43148032,0.43404853,0.4383422,0.43688217,0.4258072,0.40759686,0.38923326,0.3755863,0.3670465,0.36116818,0.3569564,0.35528055,0.35726973,0.3616437,0.36609986,0.36892113,0.37087783,0.37450543,0.38452485,0.40737474,0.4462831,0.49343577,0.5279517,0.5288214,0.49260333,0.43867984,0.39456502,0.378157,0.39094737,0.42617583,0.4706479,0.5080952,0.51861525,0.4959621,0.45064226,0.4073101,0.38330296,0.38253197,0.39681974,0.41568193,0.4294536,0.43024707,0.41532767,0.38936815,0.36390164,0.34916735,0.34812307,0.35452604,0.35974476,0.3601421,0.3599571,0.3662597,0.3814237,0.4010328,0.4175538,0.42825004,0.43766055,0.45563796,0.48502246,0.5156303,0.52561814,0.50097185,0.44635555,0.38361454,0.3328593,0.30135283,0.28474012,0.27644977,0.27281785,0.27185467,0.27123716,0.26905444,0.26504925,0.26166585,0.2626733,0.27256826,0.2927097,0.31870314,0.34002736,0.3471444,0.33833513,0.3207703,0.30387112,0.2928534,0.287873,0.28721145,0.2897415,0.2949183,0.3015118,0.30761838,0.31119156,0.31133386,0.3101227,0.31409755,0.33357263,0.3740081,0.42631546,0.4652485,0.46597782,0.4246893,0.3630847,0.3118028,0.29087606,0.3050711,0.35101354,0.41692707,0.48277047,0.5225098,0.5255804,0.50116885,0.47231174,0.4529991,0.44476044,0.44231376,0.44144487,0.43934608,0.43113303,0.4149388,0.3926172,0.37108794,0.35569075,0.35010603,0.35540953,0.3703275,0.38928175,0.40424895,0.41052878,0.41139933,0.41367593,0.42105052,0.42851976,0.43016195,0.4232081,0.41215977,0.40106237,0.39188734,0.38273773,0.37168634,0.3576882,0.3407631,0.32304898,0.30881032,0.30495715,0.31554976,0.33858654,0.36445257,0.38237405,0.385506,0.37334105,0.3487511,0.31578898,0.27904955,0.24456374,0.21933325,0.2086301,0.21328217,0.22828497,0.24675572,0.2630994,0.27608648,0.28542304,0.2905443,0.28913388,0.28084016,0.26835534,0.25721365,0.24988675,0.24350469,0.23150457,0.21358462,0.19776638,0.19613184,0.21127678,0.2338665,0.24791329,0.24508345,0.2303317,0.21837704,0.22073467,0.23720236,0.25798038,0.27401754,0.28427064,0.29315785,0.30356193,0.3130796,0.3166699,0.31118044,0.2975546,0.28051808,0.2655684,0.2564052,0.25212404,0.24857698,0.24065088,0.2263269,0.20769162,0.1903774,0.1787966,0.17244099,0.16530727,0.15349627,0.14116873,0.13978378,0.1571637,0.18938084,0.22252214,0.24283387,0.24567507,0.2360692,0.2238338,0.2165453,0.21565562,0.21615423,0.21134686,0.19831806,0.18089215,0.16584788,0.15795387,0.15687835,0.16014075,0.16655092,0.17730801,0.1937127,0.21406426,0.233953,0.2476676,0.25172958,0.24550135,0.23218738,0.21737838,0.20831929,0.20963626,0.22040002,0.23257686,0.23688936,0.22834128,0.20965521,0.18725485,0.16729306,0.15270163,0.14394943,0.13948697,0.13705803,0.13428365,0.13023125,0.12511066,0.12008073,0.11585653,0.11282762,0.110955305,0.1101901,0.11029335,0.1107395,0.110992916,0.1106497,0.109791756,0.10855523,0.107174724,0.105726205,0.10445708,0.10364509,0.10351675,0.10407221,0.105095215,0.10631684,0.1079713,0.11125121,0.11817306,0.12861557,0.13897716,0.1435922,0.14225364,0.14296345,0.15761113,0.19066001,0.23424768,0.2729071,0.29330695,0.29023334,0.26711062,0.23528665,0.21094865,0.20945473,0.23533206,0.279524,0.32335767,0.35163832,0.35947347,0.35321864,0.34216717,0.33235565,0.32406536,0.31531212,0.30435953,0.2911702,0.2755415,0.25838646,0.24129464,0.22732532,0.21775895,0.21215113,0.21016888,0.21368112,0.22551107,0.24428761,0.2648351,0.28101313,0.2915404,0.29867074,0.30545878,0.31254312,0.31888112,0.32329988,0.3249043,0.32335714,0.31869718,0.3125526,0.30742493,0.3056394,0.3071084,0.30886492,0.30575514,0.29302695,0.26923382,0.23876978,0.21126091,0.1982523,0.20656598,0.23423158,0.2695769,0.29752493,0.3055805,0.28869045,0.2489934,0.19479649,0.13819274,0.090781,0.059245486,0.043001186,0.03707151,0.036025457,0.036766734,0.03819187,0.040128503,0.042443875,0.04499032,0.04755911,0.050080407,0.052624356,0.05554579,0.059280436,0.064140856,0.070136555,0.07720256,0.087634645,0.10744,0.14675607,0.20952766,0.287964,0.35925213,0.4040755,0.41611907,0.4080921,0.39667287,0.3958912,0.41274202,0.44732165,0.4891822,0.51788396,0.516519,0.48586634,0.44421613,0.41130146,0.39410868,0.3913883,0.40313232,0.430225,0.46465623,0.4862086,0.47927868,0.44433156,0.39988196,0.3645481,0.34955564,0.35668078,0.38220155,0.4166914,0.44543195,0.45734918,0.45073685,0.43468586,0.41941798,0.41250262,0.41817912,0.43924096,0.4715275,0.5022061,0.5147805,0.50465244,0.48068774,0.45949784,0.44966686,0.45445082,0.47326168,0.50418997,0.53657967,0.5531736,0.54277414,0.50862724,0.4668763,0.43201926,0.41275647,0.41167653,0.42844856,0.4564079,0.4824765,0.49507678,0.4932883,0.48741317,0.4883676,0.49845704,0.5116717,0.52076584,0.5220051,0.5155444,0.5036223,0.49128222,0.48362172,0.48406348,0.4918321,0.50618607,0.528208,0.5570652,0.584186,0.593545,0.5754213,0.5351064,0.49105906,0.4589344,0.44221088,0.4344205,0.42883947,0.42526972,0.4273484,0.43753517,0.45221424,0.4648644,0.47041512,0.4696724,0.4668064,0.46582246,0.4666934,0.46648726,0.4615985,0.4518213,0.4403487,0.43215847,0.42956424,0.43147624,0.43470922,0.43728685,0.43933293,0.4417386,0.44451174,0.4464029,0.44661638,0.4460907,0.44846082,0.4589758,0.4819204,0.5150557,0.5473139,0.5628805,0.5528802,0.52194,0.48461518,0.45561567,0.44384405,0.45420256,0.48386684,0.5216014,0.5464166,0.54491323,0.5177521,0.48111036,0.44906962,0.4282336,0.41830385,0.4188775,0.42923498,0.44450602,0.45747927,0.46271554,0.46121535,0.45780334,0.4568024,0.4588081,0.46101665,0.46050802,0.4566513,0.45191646,0.44884953,0.44784054,0.44644406,0.44391707,0.4437898,0.45438942,0.47897956,0.510121,0.52878374,0.5214432,0.4901242,0.45318297,0.42720556,0.41654924,0.413734,0.41036078,0.40354118,0.39507112,0.38811937,0.38448754,0.38387707,0.38435543,0.38499442,0.38844156,0.40004075,0.421401,0.44714248,0.4657284,0.47010866,0.4610746,0.44839668,0.4403938,0.4402789,0.44305536,0.44196582,0.43308678,0.41945687,0.40849254,0.4067098,0.41504458,0.42956364,0.44678852,0.46784043,0.4968675,0.5323377,0.5636507,0.5746282,0.55860966,0.52200186,0.4816722,0.45167217,0.44158098,0.45569357,0.49100026,0.53284496,0.5572373,0.54905456,0.51167345,0.4665711,0.4328526,0.41867408,0.41951343,0.42807162,0.4374062,0.4426683,0.44214737,0.43781468,0.4341584,0.43350777,0.43536603,0.43782184,0.44018325,0.44260117,0.4447032,0.4456756,0.44477877,0.44155774,0.43539825,0.4277085,0.42422676,0.4350531,0.4654651,0.5090235,0.5456855,0.55735874,0.5389878,0.5028278,0.46548596,0.43778357,0.42124438,0.41199163,0.40607157,0.4009579,0.39707065,0.39530596,0.3949641,0.3925884,0.38567087,0.37697992,0.3741612,0.3818048,0.39593324,0.40480915,0.40092245,0.38559186,0.36828017,0.3552501,0.3475602,0.34226298,0.33934394,0.34088978,0.34821054,0.35770693,0.36297336,0.35925582,0.34757742,0.33583352,0.33623382,0.36049548,0.40789506,0.4608165,0.48959574,0.47677815,0.42828155,0.3700792,0.32609287,0.30943212,0.3241118,0.3668716,0.42445335,0.47042942,0.48377833,0.46093854,0.4216857,0.38788188,0.37263238,0.37521788,0.38993752,0.40934348,0.42551592,0.4330518,0.43084434,0.42285475,0.41260317,0.40201792,0.39256847,0.3876045,0.39082536,0.4019266,0.41660586,0.42852652,0.43401375,0.43208465,0.42568934,0.42111942,0.42854962,0.45445848,0.49491414,0.53214055,0.5474898,0.5342416,0.50337046,0.47227678,0.45264444,0.44578934,0.44657972,0.44899952,0.44776812,0.44045746,0.42885998,0.4192913,0.4182411,0.42751148,0.44359216,0.46105704,0.47532582,0.48331258,0.48279694,0.47504756,0.4639634,0.4548756,0.4498093,0.44840372,0.4489201,0.45032927,0.45154348,0.45147565,0.4501642,0.44893062,0.44883895,0.44862387,0.44736198,0.44851747,0.46120492,0.48987675,0.52703094,0.5522911,0.5515384,0.52566695,0.4924015,0.4680899,0.4622822,0.47526416,0.5028594,0.5342187,0.5537298,0.5498912,0.52390283,0.48912075,0.4598235,0.44304845,0.4381969,0.44123805,0.4475719,0.45215642,0.45217025,0.44788215,0.44300023,0.44056058,0.44146886,0.44396648,0.4452591,0.44264552,0.43471953,0.4226444,0.41004893,0.40151033,0.4004574,0.40814602,0.4250209,0.4514004,0.48597553,0.5209522,0.5420081,0.53542906,0.500335,0.45152974,0.4114748,0.39516222,0.40347996,0.42551923,0.4485521,0.46481732,0.47357047,0.47764242,0.47964415,0.480526,0.4804541,0.48060545,0.48298898,0.48800206,0.49239907,0.48931956,0.47409952,0.4471124,0.4152914,0.38570014,0.3628911,0.34642306,0.33442676,0.32530525,0.31929836,0.3170785,0.31838247,0.32163608,0.32516754,0.33058396,0.34378982,0.37361816,0.4206243,0.47265497,0.505588,0.5042622,0.47107783,0.4266089,0.39154232,0.37935302,0.3955605,0.43721673,0.4906474,0.5299894,0.53500825,0.5031308,0.4535017,0.408126,0.3808144,0.3729829,0.38122836,0.3985993,0.41626966,0.4254203,0.42279088,0.41182998,0.39964798,0.39290062,0.39490935,0.40613618,0.4227346,0.43942988,0.4497653,0.45108524,0.4441292,0.4337498,0.4260317,0.4272956,0.4440095,0.47808203,0.522407,0.55830604,0.5678449,0.54677695,0.50865847,0.47248816,0.44899282,0.43781877,0.43340445,0.43183133,0.4316053,0.43270937,0.43526348,0.4387709,0.44206885,0.44369018,0.44403407,0.44575262,0.45151028,0.46155286,0.47187114,0.47824612,0.47701994,0.4688399,0.45573506,0.44182,0.42907843,0.41873467,0.41202617,0.41280314,0.42520872,0.4489641,0.47790065,0.5028448,0.5192825,0.5304418,0.54534286,0.56869394,0.594266,0.6071608,0.5972925,0.56837296,0.5348312,0.5097148,0.49874806,0.50265515,0.5197324,0.5431885,0.559736,0.55686474,0.5326441,0.4968393,0.46231672,0.43683875,0.42356217,0.42338082,0.43435755,0.44882426,0.45724472,0.4560059,0.44961044,0.444778,0.44200572,0.43774796,0.4304242,0.42549825,0.42963406,0.4439814,0.46209952,0.47597468,0.482775,0.4863452,0.49346638,0.50968647,0.5351487,0.5637715,0.58241564,0.5788284,0.54827684,0.49958587,0.44826448,0.40901092,0.3878373,0.38290027,0.38571098,0.38747892,0.38253722,0.3737198,0.36776912,0.37215552,0.38827673,0.41347957,0.44190717,0.46734264,0.48467228,0.49038002,0.48571327,0.47418094,0.46145916,0.44966254,0.4384254,0.42597318,0.4135909,0.40634397,0.40872243,0.4212902,0.43823615,0.45297334,0.46088016,0.463904,0.4680408,0.4819543,0.50783443,0.53902,0.5598884,0.559936,0.53984594,0.5122375,0.48998216,0.48086014,0.48782563,0.5099863,0.5408723,0.5662076,0.57215744,0.55487186,0.5232683,0.4909034,0.4668666,0.45441988,0.45256475,0.45775774,0.4640174,0.46618903,0.46316335,0.45730534,0.45084503,0.44384766,0.43633357,0.43128255,0.4324712,0.44116008,0.45271972,0.46183667,0.46505484,0.4629853,0.45549035,0.4414779,0.42029655,0.3952928,0.37374076,0.3621354,0.36131987,0.36365315,0.35969952,0.34383857,0.31854448,0.2868726,0.2508599,0.21142529,0.17619358,0.15832232,0.17043732,0.21481375,0.2786835,0.33997843,0.37718645,0.38044178,0.35211864,0.3032467,0.24655159,0.19383924,0.15441619,0.13343589,0.12973672,0.13638501,0.1465558,0.1605783,0.18466572,0.22213836,0.26354042,0.29391983,0.30409262,0.3009956,0.2966741,0.29999772,0.30999205,0.32340252,0.33585083,0.34296772,0.3388845,0.3209994,0.2933664,0.26662025,0.2514167,0.252839,0.26746774,0.28689227,0.30188748,0.3077309,0.30495286,0.2974266,0.28735685,0.27423832,0.25876686,0.24767898,0.25175744,0.27635768,0.31402943,0.34777114,0.36306393,0.35778472,0.34123442,0.32566383,0.318318,0.31989738,0.32671267,0.33278906,0.33195946,0.3216299,0.3067465,0.297694,0.302641,0.32000396,0.34048566,0.35420978,0.35768119,0.35272327,0.34348848,0.33314523,0.32410085,0.31784382,0.31507266,0.31505474,0.31613576,0.31672332,0.31676582,0.31764325,0.32126904,0.3284658,0.33872107,0.35028568,0.36095658,0.36887836,0.37329397,0.37448356,0.37292412,0.3686998,0.3620111,0.35368088,0.34524265,0.33835188,0.33448887,0.33520815,0.3411901,0.35182473,0.36390266,0.37335047,0.3757451,0.36795565,0.3477391,0.3157877,0.27629235,0.23736899,0.20683305,0.18963015,0.18440501,0.185696,0.18645741,0.18361181,0.17866431,0.17451905,0.17095667,0.16516267,0.15759711,0.15496199,0.16617517,0.19380824,0.23054278,0.2642754,0.2865418,0.29707745,0.30081317,0.30238506,0.30254206,0.29933035,0.29166844,0.28169417,0.27419725,0.27308822,0.27901196,0.28882062,0.2980514,0.30299935,0.30246356,0.2975172,0.29094175,0.28576815,0.28438845,0.28795424,0.29579708,0.30563655,0.31389138,0.31823877,0.31833604,0.31624368,0.31382957,0.31217137,0.31127822,0.31138507,0.31299272,0.31632635,0.32086757,0.32524922,0.3282781,0.32925853,0.32834002,0.32560202,0.32030383,0.31009248,0.29131737,0.26158872,0.22328888,0.18578617,0.16194259,0.16043232,0.1794777,0.20755602,0.23190439,0.24546309,0.24927938,0.2469274,0.2411409,0.23031025,0.21208638,0.18513538,0.15510274,0.13146818,0.124163054,0.13518654,0.15954639,0.1878721,0.21243785,0.22917624,0.23796344,0.24060887,0.23857205,0.2328238,0.22530238,0.21890973,0.21529575,0.21306686,0.21047898,0.20806427,0.20809163,0.21055077,0.21255343,0.21154653,0.20825058,0.20514385,0.20335174,0.2020241,0.20014735,0.19767599,0.19499056,0.19227435,0.18993354,0.18887584,0.19009602,0.19364391,0.19845392,0.20361646,0.2123863,0.23362076,0.27823478,0.34425303,0.41249618,0.45244572,0.4501241,0.41440058,0.3718247,0.3424085,0.3359859,0.35550526,0.39727452,0.44773093,0.48023272,0.47802082,0.4432383,0.4001163,0.36989012,0.36361828,0.380638,0.4171945,0.4616827,0.49486795,0.49792185,0.47154984,0.43498468,0.41360745,0.41784072,0.44536892,0.48757616,0.53397435,0.5706394,0.58109766,0.56282204,0.5276403,0.49734578,0.48374665,0.48872176,0.50944334,0.54247475,0.5810481,0.6102478,0.61890274,0.6064094,0.5844334,0.5636299,0.54836386,0.5400222,0.54115725,0.55220455,0.56643033,0.5737633,0.57101005,0.5638258,0.56016016,0.56190497,0.5657154,0.5686436,0.56877345,0.5633964,0.54673344,0.51524776,0.47266296,0.42948556,0.39711836,0.37980047,0.37497726,0.37614557,0.37748793,0.37446955,0.36420512,0.3484333,0.33300045,0.32646263,0.33474335,0.36139545,0.40688837,0.46558276,0.5248299,0.5694592,0.59542304,0.60940534,0.6207543,0.627816,0.62269825,0.60111564,0.56853443,0.5339844,0.5034662,0.47896612,0.46163222,0.45218158,0.45058313,0.4550378,0.46427837,0.47623476,0.48834988,0.49574187,0.49550983,0.487602,0.47667822,0.4672282,0.46173927,0.45833027,0.45368195,0.44530535,0.43401614,0.42332008,0.4169555,0.41669425,0.42083386,0.42644355,0.4307494,0.4336268,0.43543306,0.4364332,0.43505028,0.4297428,0.41967046,0.40589604,0.3924879,0.38755497,0.40195465,0.44172445,0.49871945,0.55025953,0.57159716,0.55540603,0.5146762,0.47293356,0.44581214,0.43825862,0.44648182,0.46357322,0.48047844,0.48935524,0.48905253,0.48408887,0.48090574,0.48067942,0.48170578,0.4813721,0.47962,0.47689852,0.4739518,0.4715891,0.47093523,0.47260484,0.4760158,0.4816347,0.49247897,0.51405174,0.54567915,0.57778627,0.59492314,0.5935219,0.5841685,0.58223224,0.5872733,0.5851558,0.56323165,0.5255453,0.48733833,0.46123293,0.44877076,0.44417372,0.44144574,0.4390291,0.43890914,0.44452965,0.45586157,0.46875975,0.4750228,0.4700196,0.45529488,0.439508,0.4305501,0.4315938,0.43949834,0.44897363,0.45521554,0.4557921,0.45066202,0.4419898,0.43268678,0.4248352,0.41884306,0.41452277,0.41209874,0.41272274,0.41667733,0.4227116,0.42758694,0.4283463,0.42372695,0.41625392,0.41295716,0.42407608,0.45656815,0.50496894,0.5492525,0.56575155,0.54495144,0.49869978,0.45092735,0.42114326,0.41570893,0.42984292,0.45281696,0.47340298,0.48305896,0.48058435,0.47028318,0.45913848,0.45052525,0.4452521,0.44196525,0.44057357,0.4405235,0.4413997,0.44132867,0.43874088,0.43225634,0.4230218,0.41578612,0.4193417,0.4420545,0.48301816,0.5292633,0.56257004,0.57551557,0.5745346,0.5701705,0.5636495,0.54886436,0.52438027,0.4979341,0.47975573,0.47256556,0.47162285,0.4707398,0.4674232,0.4637499,0.46342564,0.46948186,0.48051706,0.49092627,0.49263588,0.48221076,0.46270025,0.44291088,0.42950466,0.42491603,0.42611945,0.42971644,0.43255377,0.43397072,0.4338914,0.4330573,0.43180454,0.43016672,0.42826536,0.42618096,0.42522004,0.4270978,0.43417343,0.44681954,0.46261513,0.47592843,0.48100308,0.47641635,0.46873298,0.47096133,0.49384156,0.5339106,0.5715676,0.58280843,0.5595803,0.5155071,0.4749612,0.4547144,0.4566445,0.47359213,0.4947555,0.5111864,0.51503986,0.50566256,0.48759487,0.46981415,0.45799318,0.45372823,0.45465687,0.4577683,0.46132243,0.4648213,0.46870062,0.4722422,0.47401965,0.47287846,0.47140205,0.47596535,0.493891,0.5244805,0.5571534,0.57700723,0.5802745,0.5764659,0.57632285,0.5772856,0.56567603,0.5357573,0.49682978,0.4662411,0.4518076,0.45000002,0.45232344,0.45392308,0.4547867,0.45727572,0.46428254,0.4755633,0.4867585,0.48971376,0.4799007,0.46077326,0.44323906,0.43706283,0.44415617,0.45873538,0.47320247,0.48381504,0.49105918,0.49652994,0.500238,0.4998894,0.4942825,0.48421916,0.47396222,0.46584114,0.45933592,0.44938847,0.4340516,0.41703656,0.40877545,0.41538584,0.43410096,0.45428815,0.47161278,0.49137583,0.51957583,0.5501287,0.5676511,0.5674607,0.56071687,0.56251645,0.57081896,0.5711692,0.55539066,0.53065675,0.51001024,0.4962807,0.48601767,0.47661915,0.47182608,0.47358546,0.47941396,0.4854339,0.49038562,0.49445367,0.49550903,0.4911081,0.4832853,0.47744152,0.4782529,0.4844136,0.4947947,0.5103447,0.5328209,0.5577364,0.57648975,0.58621454,0.59256494,0.6021173,0.6112452,0.6095481,0.5919034,0.56385356,0.53563565,0.5120562,0.4927595,0.47613028,0.46326554,0.45569885,0.45407227,0.45757362,0.46451947,0.4722549,0.4771298,0.47698018,0.472383,0.4674972,0.46608233,0.4691943,0.4731381,0.47330412,0.4671748,0.45719934,0.44788417,0.44309723,0.44345662,0.44743523,0.4527686,0.45793858,0.4631507,0.46998742,0.4800299,0.4922968,0.50268644,0.50676554,0.5034922,0.49714515,0.49531123,0.5048394,0.52894425,0.5620477,0.5924194,0.6047501,0.5944532,0.5675018,0.5390604,0.51900953,0.5106797,0.5112161,0.5165329,0.52233416,0.52435493,0.5216441,0.5160701,0.5115254,0.50984025,0.5111592,0.5144026,0.51827145,0.52085406,0.52064943,0.5175472,0.513259,0.50937533,0.5065889,0.5058132,0.5096417,0.52244234,0.54374224,0.56719875,0.58143455,0.58247584,0.5744098,0.56467265,0.55320483,0.53401923,0.50595623,0.47609916,0.45601785,0.44961002,0.4538182,0.46112323,0.46641195,0.46755672,0.46619415,0.46645093,0.47157073,0.48041737,0.48696434,0.48540092,0.47517252,0.4612993,0.44989368,0.44371223,0.44212353,0.44336903,0.44660845,0.45138314,0.45696044,0.46221647,0.46691632,0.47139943,0.47621623,0.4807657,0.4846002,0.48744044,0.48981783,0.4915166,0.4918164,0.48976377,0.48519918,0.47940055,0.4758465,0.4801971,0.4975827,0.52601576,0.5540604,0.56537765,0.5526567,0.522565,0.49115458,0.47014526,0.4626312,0.46594176,0.47603437,0.48784253,0.4942194,0.49060002,0.4777459,0.46204484,0.4492763,0.4418321,0.43868926,0.43823883,0.43944332,0.44141075,0.4434408,0.44516528,0.44734135,0.45095325,0.45813096,0.47200736,0.49717927,0.532554,0.5691796,0.5921451,0.59613496,0.5891323,0.58478296,0.5855558,0.58128303,0.5629549,0.5328861,0.5032621,0.48264077,0.47223005,0.46716002,0.46351042,0.4599972,0.45815513,0.46040595,0.46663514,0.47239053,0.47019267,0.45597282,0.43336013,0.4118373,0.40017435,0.4008318,0.41049513,0.42270577,0.43201038,0.4350505,0.4319866,0.4247768,0.41712078,0.41259816,0.4149662,0.4253565,0.4414897,0.45720527,0.46671805,0.46808335,0.46454918,0.4611667,0.4609755,0.4641217,0.4712908,0.4860042,0.5129172,0.54866105,0.57986003,0.58760434,0.5653191,0.52267164,0.4811641,0.45559183,0.44961366,0.457207,0.4713538,0.48547685,0.4941089,0.49378213,0.48478603,0.4713514,0.45911744,0.45320752,0.456028,0.46652353,0.48005855,0.49106303,0.4962155,0.49619344,0.49470294,0.4952766,0.5004028,0.5112961,0.52991456,0.5551565,0.58087045,0.5959061,0.5937906,0.5783518,0.5601125,0.54661924,0.5376389,0.5330078,0.5335215,0.5392761,0.54098535,0.5301599,0.50696,0.48363137,0.47010958,0.46732607,0.4710139,0.48197094,0.5029207,0.5303467,0.55109864,0.55590343,0.5475727,0.5373614,0.531282,0.526788,0.5232281,0.52407604,0.53294086,0.5410866,0.53847927,0.52216846,0.5034949,0.49408248,0.49893805,0.5169124,0.5452616,0.57957095,0.6084617,0.6204612,0.6111855,0.5897952,0.5678118,0.55272675,0.5434873,0.5403299,0.5423851,0.5485423,0.550807,0.54474306,0.5307455,0.515883,0.5038319,0.49590072,0.49432468,0.503896,0.5245844,0.5466445,0.55703974,0.55161905,0.53607696,0.5189712,0.5031834,0.49117264,0.48724762,0.4949739,0.509281,0.51840657,0.51556325,0.5038221,0.4919217,0.48399833,0.48031378,0.48264638,0.49375427,0.5123045,0.52866596,0.5357833,0.53496456,0.53426343,0.53593117,0.53381044,0.52204067,0.5026271,0.4840655,0.4716895,0.4658116,0.4647669,0.4696001,0.48179123,0.49971604,0.51765996,0.5291763,0.5311761,0.5244522,0.5127828,0.500056,0.49055302,0.48713765,0.49094793,0.4989934,0.5061238,0.50802475,0.50420994,0.49740505,0.48948458,0.48084417,0.46997944,0.4578441,0.4458922,0.43720606,0.43233564,0.43138742,0.43236527,0.43408236,0.43522644,0.43560293,0.43513194,0.43604684,0.44347832,0.46454605,0.4991269,0.5355162,0.5534036,0.5421098,0.5091482,0.47563508,0.45749462,0.45679498,0.4659023,0.4768292,0.48539624,0.48929235,0.48816013,0.4835814,0.47925344,0.4778993,0.47933066,0.48076952,0.47876957,0.47245085,0.4633614,0.4551445,0.4503136,0.44980276,0.4522728,0.45663652,0.46371686,0.47752878,0.49934492,0.523582,0.5381117,0.5372736,0.52765495,0.521868,0.52259105,0.51969993,0.5032825,0.4760865,0.4511012,0.4381431,0.43659994,0.43980777,0.44241777,0.44388795,0.4460573,0.45108667,0.45931634,0.46814525,0.4730234,0.47029212,0.4613253,0.45062757,0.4426072,0.43745854,0.43332943,0.42870858,0.42416146,0.42111972,0.42062032,0.42306265,0.42821077,0.43519202,0.4426705,0.44859412,0.4509022,0.4469976,0.43644026,0.42149985,0.40836397,0.40220448,0.4047774,0.41300705,0.42451414,0.44081923,0.46727666,0.5040918,0.5406997,0.55868125,0.54758966,0.51466435,0.4796317,0.45839015,0.4536835,0.46008125,0.47076347,0.481295,0.48691723,0.48585096,0.47942868,0.47260204,0.46789423,0.4656659,0.46501747,0.46691236,0.472147,0.47955582,0.48571014,0.4877646,0.48520556,0.48021117,0.47665548,0.48005834,0.4959329,0.5237512,0.55381876,0.57065123,0.56834865,0.5555095,0.5472835,0.547259,0.54528946,0.53094417,0.50545186,0.47899923,0.4578931,0.44117653,0.42566243,0.41253614,0.4054589,0.40678182,0.41563144,0.43018076,0.44743255,0.46348277,0.4735116,0.4760873,0.4737469,0.47169474,0.47271323,0.4763085,0.4795889,0.4809742,0.4806217,0.4804865,0.48104453,0.48152578,0.47918737,0.47313455,0.4641305,0.4561135,0.45239088,0.45484582,0.46120617,0.46763253,0.4700987,0.46775123,0.46218085,0.45805025,0.4612637,0.47842923,0.5097071,0.5460076,0.5694259,0.5676204,0.54140574,0.5054665,0.4749994,0.45885023,0.4577683,0.4681339,0.48309258,0.49400696,0.49486336,0.48538044,0.4711698,0.45855454,0.4516172,0.4505503,0.45372942,0.4584165,0.46283427,0.4658605,0.4678631,0.46888578,0.46952042,0.47099218,0.47693083,0.49179554,0.51559067,0.5404522,0.5528377,0.54696685,0.53074723,0.52034694,0.5220098,0.5268574,0.5210113,0.5017398,0.47857332,0.46300673,0.45807934,0.45988527,0.46304968,0.46553198,0.46787295,0.4715581,0.47755674,0.48434746,0.48890448,0.48726097,0.47923872,0.46739486,0.45696664,0.4508772,0.4503379,0.45385495,0.45959988,0.4651548,0.46852803,0.46853614,0.46516934,0.46029678,0.45648244,0.45613006,0.45851365,0.46003678,0.45570827,0.444357,0.4303573,0.42247018,0.42662743,0.44209465,0.4621475,0.48196673,0.50270647,0.52708477,0.5518262,0.56728846,0.56898814,0.56369257,0.5613219,0.56173855,0.55377054,0.53218216,0.50409836,0.48300985,0.4723469,0.46724352,0.4638795,0.46421984,0.47134766,0.48141575,0.48992464,0.49344254,0.49344158,0.4888983,0.47958744,0.46705994,0.45684448,0.45211753,0.45217118,0.45516554,0.464604,0.48476684,0.51416826,0.5414299,0.5573105,0.5632716,0.5693775,0.5798474,0.5866719,0.5794477,0.55713886,0.53010243,0.5084581,0.49540725,0.4874346,0.48120788,0.47538066,0.47121942,0.47033894,0.47489038,0.48383364,0.49318686,0.49642852,0.49156106,0.48186162,0.47440693,0.472478,0.47388744,0.4732779,0.46745816,0.45768473,0.44742155,0.43977153,0.43588874,0.43574616,0.4385968,0.44271788,0.44618174,0.4472725,0.44597208,0.443369,0.4415472,0.44216263,0.445696,0.45106128,0.4574161,0.4663172,0.48219514,0.5069337,0.5349135,0.552885,0.550849,0.5302941,0.5037205,0.48332787,0.4740188,0.47451767,0.48202452,0.49354878,0.5040631,0.50862724,0.5047093,0.4950402,0.48387703,0.475547,0.4706783,0.46846786,0.4661704,0.462706,0.45764947,0.45220363,0.44740877,0.44446573,0.44524738,0.45238903,0.46927932,0.49508587,0.5226357,0.54026884,0.5427038,0.53776413,0.53779274,0.546153,0.5499888,0.5372037,0.50796,0.47734478,0.45762536,0.45158982,0.45353577,0.45923543,0.4671414,0.47726345,0.48830235,0.49923292,0.5079151,0.5116374,0.50616544,0.49096778,0.46954253,0.44948566,0.43579277,0.42969975,0.4282943,0.4292337,0.43156305,0.43631136,0.4435501,0.4524304,0.4605149,0.46642867,0.469633,0.4714265,0.4725485,0.4733564,0.47316948,0.4722294,0.47135028,0.47143233,0.4720228,0.47267458,0.47514448,0.4842185,0.5028369,0.52663994,0.54364896,0.543674,0.5269838,0.50412905,0.48653877,0.47904253,0.48008242,0.48547518,0.49058715,0.49086228,0.48363817,0.4705571,0.45663217,0.44711438,0.44354677,0.4441459,0.44533682,0.444968,0.44270214,0.44006667,0.43885455,0.440354,0.44458306,0.45188725,0.46441707,0.48684582,0.51943564,0.55291724,0.57041603,0.5634613,0.54239357,0.52692884,0.5256016,0.5256027,0.5096683,0.47358605,0.43033418,0.39542365,0.37587118,0.3703438,0.37417635,0.38374245,0.39601445,0.40895715,0.42162633,0.43225244,0.43841305,0.436458,0.42745754,0.41634217,0.4105525,0.4118841,0.41718718,0.4209361,0.42227745,0.4236435,0.4284592,0.43580523,0.44236723,0.44416782,0.44056603,0.4330602,0.4235654,0.4125574,0.39971805,0.38672242,0.37712,0.37502334,0.3808582,0.39172158,0.4041544,0.41926464,0.4425882,0.47721013,0.51625973,0.543583,0.54614216,0.5247864,0.49318084,0.4660162,0.45013168,0.4456059,0.44926462,0.45641717,0.45990017,0.45467153,0.44153294,0.42735794,0.41820964,0.41522083,0.41558453,0.41726694,0.42071363,0.42698026,0.43564066,0.4446719,0.4518739,0.45567954,0.45689872,0.4601718,0.4735479,0.50038826,0.5310536,0.5433244,0.5182323,0.45681337,0.38016012,0.31398132,0.270739,0.24908888,0.24007381,0.23667629,0.23376255,0.22927135,0.22300392,0.2170015,0.21320187,0.21186487,0.2121907,0.21378982,0.21740639,0.22354858,0.23124863,0.23905511,0.24555705,0.2503197,0.2522014,0.250365,0.24468024,0.2373005,0.23166458,0.23059385,0.2341661,0.2392897,0.24167001,0.2392664,0.23343445,0.22869347,0.22807543,0.23208582,0.23690559,0.23904485,0.23637216,0.23006938,0.22143264,0.21147615,0.20102935,0.19283037,0.19020723,0.19525176,0.20630479,0.22041446,0.23395492,0.24482739,0.25060323,0.25057954,0.24600333,0.24061084,0.23797892,0.239087,0.24208017,0.24303974,0.2383343,0.22658305,0.21060652,0.19740324,0.1940766,0.20341347,0.22104524,0.23903352,0.25091562,0.25523937,0.2544695,0.2533728,0.25831258,0.2777876,0.316499,0.3707578,0.4248205,0.46273133,0.47709945,0.47560367,0.4707198,0.47144374,0.47797367,0.48573294,0.48884097,0.48341882,0.46949908,0.45326552,0.44282687,0.4417518,0.4452004,0.44674942,0.4471924,0.4530562,0.4676793,0.48324153,0.48972392,0.48376724,0.47310588,0.46561942,0.46466443,0.4691696,0.47999308,0.4964656,0.5135725,0.521913,0.5187686,0.5094612,0.50362587,0.5037971,0.50900126,0.5189592,0.53592277,0.5565329,0.5706238,0.5721674,0.56765103,0.5705895,0.5856398,0.60584,0.6233807,0.63846314,0.6520893,0.6584041,0.6476393,0.6225899,0.5961837,0.58321875,0.5827465,0.588849,0.59467715,0.6003646,0.6023004,0.5964864,0.58397746,0.5745549,0.57865256,0.5954235,0.615861,0.63072824,0.6377077,0.6352694,0.62089354,0.59445184,0.5657658,0.54677486,0.5427227,0.54421157,0.5395842,0.51956373,0.4828805,0.42913976,0.36225578,0.28956765,0.2221257,0.16788578,0.12895691,0.102279164,0.08353257,0.06962938,0.05904666,0.05111042,0.045216765,0.040726718,0.037038684,0.03385343,0.031168008,0.029186815,0.027973047,0.027322173,0.026722705,0.025744893,0.024166368,0.02213005,0.019884959,0.017795088,0.016173264,0.015270929,0.015055417,0.0151939085,0.015194039,0.014706869,0.013720602,0.012511079,0.0115199825,0.011311579,0.012652498,0.016410535,0.022945771,0.031620145,0.04134048,0.052553218,0.06816981,0.09130925,0.12135438,0.15281963,0.17972039,0.19966471,0.21470988,0.22623956,0.2330075,0.22992152,0.21370679,0.18589075,0.1580141,0.1456985,0.15890168,0.1902497,0.21902883,0.22763105,0.21664225,0.20299238,0.2027369,0.21776189,0.23739731,0.2502893,0.25253132,0.24631333,0.23510294,0.22165595,0.20922138,0.20251554,0.20584925,0.22106963,0.24830256,0.28645507,0.33343872,0.38182768,0.42174327,0.4448665,0.4510847,0.44617572,0.43696192,0.42766193,0.4193515,0.41231748,0.4062496,0.40125284,0.3976917,0.39564785,0.394991,0.3941797,0.39243877,0.3895593,0.38713345,0.38598147,0.38536358,0.38337317,0.3787051,0.37225187,0.36527896,0.3590009,0.3532907,0.34817985,0.34332755,0.33852923,0.33379945,0.3297751,0.32769546,0.32770216,0.32949972,0.33214888,0.33661997,0.34332117,0.3519087,0.3588208,0.361236,0.3581262,0.35205993,0.3459833,0.3420039,0.34023228,0.33976027,0.33917198,0.3372612,0.33339325,0.32787517,0.32205048,0.31835464,0.31979486,0.32848927,0.34361863,0.3605131,0.37282303,0.37643018,0.37204698,0.3637372,0.3555964,0.34937644,0.3450168,0.3417015,0.33871508,0.33506083,0.32955846,0.3205513,0.30643287,0.28624904,0.2623828,0.24195386,0.23686956,0.2563119,0.3003153,0.35524,0.40335515,0.43226162,0.44265977,0.44202483,0.43814257,0.43379936,0.4292393,0.42430523,0.4198508,0.41657183,0.41441968,0.41263697,0.41045102,0.407372,0.40326706,0.39849198,0.39403662,0.39097205,0.3896654,0.38932887,0.38861892,0.38666153,0.3835608,0.380265,0.37763265,0.37585008,0.3743142,0.37215248,0.3690695,0.3655362,0.3627117,0.36130157,0.36129165,0.3618873,0.36279318,0.3639529,0.3655317,0.3666663,0.36666098,0.36527705,0.36356187,0.36279547,0.3638319,0.3672342,0.37241694,0.3782605,0.38178858,0.38107255,0.37465692,0.36380962,0.35051134,0.3394262,0.335821,0.3431888,0.3585126,0.37257794,0.3764316,0.36839306,0.35570654,0.34757003,0.347917,0.35323188,0.35728052,0.35623452,0.35046104,0.34238645,0.33432877,0.3273678,0.322134,0.31943575,0.32052073,0.32684442,0.33917117,0.35724393,0.37813282,0.39718568,0.40913603,0.41209373,0.4075961,0.3997773,0.39192477,0.3856279,0.38112745,0.37806082,0.37652996,0.376217,0.37716988,0.37847888,0.37929392,0.3783157,0.37544084,0.3717604,0.3688147,0.36718264,0.36546412,0.36253914,0.35769656,0.3518106,0.3447521,0.33693027,0.32885215,0.32220542,0.31794068,0.31588164,0.31540143,0.31589985,0.3168465,0.3170824,0.31647658,0.31776223,0.32502243,0.34003735,0.35828137,0.37278107,0.378467,0.37633005,0.36976823,0.3618271,0.3533236,0.34462246,0.33635128,0.3293947,0.32444087,0.3219255,0.32199988,0.32451737,0.32902172,0.33516634,0.3421413,0.34875497,0.35290655,0.35347036,0.350399,0.34570262,0.34125218,0.3386058,0.3378487,0.33868966,0.34027815,0.34149802,0.34104475,0.3379618,0.33249727,0.3257273,0.31963956,0.3166044,0.32007352,0.33280042,0.35519174,0.38296354,0.40946686,0.42849493,0.43788135,0.4388279,0.4348205,0.42917275,0.42436716,0.42123365,0.41968337,0.41902885,0.41880083,0.41860616,0.41825604,0.4174769,0.41586664,0.41299233,0.40868902,0.4033306,0.39770666,0.39285934,0.38962078,0.38830695,0.38821664,0.3883504,0.38776222,0.3866423,0.3853139,0.3842498,0.38289097,0.38087693,0.37787065,0.3740679,0.36920705,0.36316457,0.35757175,0.35559615,0.360121,0.36952424,0.3792349,0.38448223,0.3847827,0.3823556,0.3798891,0.37850615,0.3781881,0.3787196,0.37914518,0.378322,0.3745422,0.36739743,0.35760912,0.3485861,0.34433737,0.34817898,0.35824168,0.3682195,0.36973786,0.35992277,0.34350535,0.3303945,0.32743353,0.33412743,0.34427932,0.35154095,0.3530227,0.34888735,0.34064433,0.32987788,0.318352,0.30814585,0.30192456,0.30147323,0.30613482,0.3118972,0.31445587,0.31209263,0.30643436,0.29895416,0.28913626,0.27508402,0.2567639,0.23659511,0.21846057,0.20512521,0.19737537,0.19434632,0.19427907,0.19581194,0.1972409,0.19751664,0.19534762,0.19171901,0.19027908,0.19636731,0.21199836,0.23140188,0.2445624,0.2447619,0.23427995,0.22004984,0.20585223,0.19080381,0.17320108,0.15523992,0.14022051,0.1300581,0.12512963,0.12761587,0.14052217,0.16381192,0.19146304,0.2151053,0.22959071,0.2358262,0.23785686,0.23843646,0.23733318,0.23284067,0.22466628,0.21502125,0.20759986,0.20504259,0.20709915,0.21143843,0.2156353,0.21874468,0.22034536,0.22008939,0.21791482,0.2149071,0.21247268,0.21111389,0.21062338,0.21068044,0.21150501,0.21269011,0.21427178,0.21648683,0.22070186,0.22631212,0.23150046,0.23310608,0.23067415,0.22557342,0.2210421,0.21918596,0.2212312,0.22665346,0.23381132,0.24003953,0.2434001,0.24385971,0.24308796,0.24245374,0.24180861,0.24028473,0.238137,0.23686622,0.23770648,0.24016567,0.24290866,0.24537231,0.24838524,0.25275847,0.25811586,0.26317212,0.26702473,0.26974544,0.27182588,0.27365413,0.27546573,0.2775265,0.2796618,0.28077027,0.27933994,0.27480438,0.26826438,0.26137808,0.25480846,0.24806488,0.24094744,0.23425727,0.22936179,0.22693114,0.22752015,0.23167811,0.23988342,0.25046945,0.25953367,0.2625486,0.25802514,0.24853607,0.23895335,0.23226684,0.2286035,0.22681381,0.22764273,0.23289186,0.24262679,0.25308284,0.25911382,0.2579958,0.25090763,0.24057354,0.22885306,0.21655445,0.20505959,0.19634144,0.19181234,0.19108516,0.19311972,0.19693893,0.20194745,0.20628609,0.20761473,0.20440717,0.19830234,0.19256258,0.18994933,0.1904388,0.19300522,0.1971826,0.20362414,0.2113732,0.21684934,0.21527825,0.20469253,0.1875968,0.16958569,0.15567146,0.14855732,0.14877635,0.15644218,0.1704797,0.18818893,0.20443438,0.21492653,0.21784322,0.21515208,0.20991194,0.20489149,0.20109402,0.19836606,0.19559318,0.19177604,0.18654378,0.18055801,0.1747893,0.16985802,0.16573335,0.16208832,0.15859938,0.15500586,0.15103193,0.14656208,0.14165519,0.13648953,0.13116015,0.12568615,0.12014151,0.11457159,0.10893347,0.103068896,0.096944995,0.09090158,0.08547402,0.08114475,0.07790198,0.07542226,0.07359139,0.07352502,0.078093566,0.0904812,0.11112535,0.135217,0.15449893,0.16229385,0.15770894,0.14515536,0.13043948,0.1174793,0.10762315,0.1007193,0.09613934,0.09310395,0.09093812,0.08903863,0.08712479,0.08505561,0.082925566,0.080815256,0.078803055,0.07687809,0.075012684,0.0732272,0.071513526,0.06989206,0.06831477,0.06683678,0.06548322,0.06427508,0.06307197,0.061704118,0.060093682,0.058383718,0.057026867,0.05722558,0.061585326,0.074045986,0.09715149,0.1282655,0.15773839,0.17347097,0.16829433,0.14496927,0.113494575,0.08443457,0.063445345,0.05080804,0.04400834,0.040457595,0.0385253,0.03741459,0.03669642,0.036117595,0.03554898,0.034968063,0.03439461,0.0338129,0.03318012,0.032429647,0.03153994,0.030515043,0.029405266,0.028256139,0.027121438,0.026041722,0.025054703,0.02418869,0.023445977,0.022819484,0.022270003,0.02176954,0.021262096,0.020710027,0.020060865,0.019310476,0.01847971,0.017633146,0.016828898,0.016106969,0.015480541,0.014943437,0.014495593,0.014123899,0.013808024,0.013478152,0.013059102,0.012486997,0.011779044,0.0110095,0.010280643,0.0096498085,0.009115028,0.008636848,0.008178412,0.0077286013,0.0072870534,0.0068599903,0.006447621,0.00605239,0.005673055,0.0053091017,0.0049632117,0.0046365396,0.0043302714,0.0040344293,0.003741283,0.0034409862,0.003137544,0.002839664,0.0025635238,0.0023149438,0.0020889502,0.0018702568,0.0016492927,0.0014291905,0.0012232399,0.0010444588,0.0008957886,0.000770937,0.0006574542,0.0005454319,0.0004305363,0.0003173659,0.00021710544,0.00014469647,0.000113200535]