[0.050186258,0.048073012,0.04440904,0.0419309,0.0422993,0.045358602,0.04954204,0.05287509,0.053454373,0.050056294,0.043637455,0.038966477,0.045100417,0.071075864,0.119900465,0.1836731,0.24804191,0.299907,0.33467117,0.3536208,0.35996068,0.35539258,0.34277323,0.32635236,0.31126902,0.3003266,0.29375544,0.28849956,0.27936208,0.2612498,0.23386635,0.20500886,0.18761532,0.19182847,0.21720628,0.2524467,0.28227064,0.29514536,0.2877517,0.26491073,0.23841423,0.2221757,0.22464813,0.24197812,0.25979802,0.26288405,0.24578911,0.21488957,0.18270619,0.15909372,0.14780866,0.1486174,0.16218038,0.19112127,0.23541887,0.28804123,0.33546662,0.3662373,0.37669918,0.3715663,0.35687074,0.33645603,0.311759,0.28491375,0.2584761,0.23390812,0.21049924,0.18708445,0.16396296,0.1431254,0.12646091,0.11419637,0.10498413,0.09745803,0.09125689,0.08745196,0.08763987,0.09364405,0.10481939,0.11855483,0.1305949,0.14179379,0.15628949,0.1801797,0.2113685,0.24341722,0.26699504,0.28011182,0.28442594,0.28543553,0.2855505,0.28554845,0.28225917,0.2724075,0.25505266,0.23675174,0.22825368,0.23755836,0.2616521,0.28895703,0.3064963,0.3085679,0.29771188,0.2826043,0.2717251,0.26933682,0.2730547,0.27787572,0.28001487,0.27996624,0.27964506,0.28045055,0.28147802,0.28184453,0.28134954,0.2811167,0.2810425,0.27864185,0.26835242,0.24483441,0.20701487,0.16131975,0.119446844,0.0933024,0.090052664,0.11205277,0.15604205,0.21378915,0.27100766,0.31504583,0.34018937,0.35174942,0.35841843,0.36595157,0.37251124,0.37133098,0.3561974,0.3272816,0.2943014,0.2707522,0.26561776,0.27650312,0.29475304,0.31251687,0.32786986,0.3408996,0.3505616,0.35413435,0.35065314,0.34206167,0.33182883,0.32215273,0.3131792,0.30384186,0.29389188,0.2841765,0.27626467,0.27082065,0.26756546,0.26546028,0.26365253,0.26151845,0.25861743,0.25404495,0.2461694,0.23264088,0.2129818,0.19049443,0.17286277,0.16680449,0.17383158,0.18840198,0.20287178,0.21171372,0.21384124,0.21090402,0.20558824,0.20020145,0.1963052,0.19446765,0.19467543,0.19654678,0.19960244,0.20300882,0.20584184,0.20741576,0.2077737,0.20748079,0.20725358,0.20741342,0.20790298,0.20836802,0.2084366,0.20771603,0.20604967,0.20373686,0.20171838,0.2005722,0.19968618,0.19693285,0.19048487,0.18046486,0.16940533,0.16052502,0.15551597,0.1538413,0.15354405,0.15296592,0.15136558,0.14882787,0.14564444,0.14209057,0.13848037,0.13507491,0.1320259,0.12908275,0.12583889,0.12196999,0.11758407,0.1130205,0.108590744,0.1043397,0.10025329,0.09638033,0.09293429,0.09005591,0.087704025,0.08560976,0.083527446,0.0814218,0.07958264,0.078380175,0.078001715,0.0782849,0.078810245,0.07924634,0.07947538,0.07973052,0.08025122,0.081205934,0.08244886,0.0838022,0.08506861,0.08625972,0.08738495,0.088548206,0.08981967,0.092046864,0.098026276,0.11384469,0.14668718,0.19959104,0.26597774,0.33044744,0.37619898,0.39327094,0.38360855,0.35871986,0.33487234,0.3236146,0.32712117,0.3373402,0.3428706,0.33422008,0.30715194,0.26334456,0.21147971,0.16675645,0.14611559,0.15984839,0.20397979,0.26067615,0.30774155,0.33195588,0.33455583,0.32646552,0.31783378,0.3125738,0.3091508,0.3044881,0.29643795,0.28440782,0.27019772,0.25755745,0.25073174,0.25109744,0.25659215,0.26340213,0.26946083,0.27462646,0.27949703,0.283313,0.28514853,0.28448248,0.2823316,0.2794166,0.27596843,0.2710407,0.26427916,0.2562663,0.24849021,0.24132313,0.23327656,0.22185667,0.20606591,0.18780859,0.17110883,0.1597638,0.1551223,0.15671845,0.16472149,0.18218541,0.21158607,0.24926703,0.28273562,0.2973889,0.28607857,0.2530928,0.21018052,0.16832311,0.13513042,0.113154925,0.10254789,0.10013541,0.102164716,0.104844086,0.10646542,0.10689647,0.106918864,0.10755227,0.11034509,0.11925862,0.13967685,0.17512329,0.22196515,0.27044532,0.31010166,0.3359995,0.348982,0.35255376,0.3508381,0.34812048,0.34853062,0.35382155,0.36270857,0.37141052,0.37585795,0.37290633,0.36192033,0.3458024,0.3309044,0.32394683,0.3267098,0.3329936,0.3300035,0.30636832,0.2595371,0.2002375,0.14748026,0.12030392,0.12785345,0.16553782,0.2168824,0.26220527,0.2886609,0.29551822,0.2911873,0.28524742,0.2826934,0.28324923,0.2841542,0.28302073,0.27954078,0.27563462,0.27372968,0.27456212,0.27598026,0.27492368,0.2701467,0.26368237,0.25811234,0.2525251,0.24088664,0.2166803,0.17945087,0.13795681,0.10478088,0.08868944,0.089114845,0.09846041,0.10718378,0.11053476,0.11065822,0.11575409,0.13301635,0.1632535,0.1978488,0.22447222,0.23344313,0.22273658,0.19682087,0.16415983,0.13562934,0.12243866,0.13234429,0.16290422,0.20083845,0.22822063,0.23510666,0.22426237,0.20704132,0.1925863,0.18376857,0.17886598,0.17648758,0.17625801,0.17798834,0.18061157,0.18302113,0.18478237,0.18614328,0.18737173,0.1880088,0.18716545,0.18427664,0.18115778,0.18189514,0.19228433,0.21464127,0.24620156,0.27788112,0.3013159,0.3119143,0.31157008,0.30406463,0.29353526,0.28309485,0.27544427,0.2719612,0.27170444,0.2724059,0.27198306,0.2708322,0.27131978,0.27666613,0.2879154,0.30322087,0.31851235,0.33080256,0.34028435,0.34952638,0.36051163,0.37180594,0.38051367,0.3843496,0.3840476,0.38006815,0.37172464,0.35569775,0.33071706,0.2986877,0.26633832,0.24056877,0.22710048,0.22914892,0.24867523,0.28358603,0.3253585,0.3614429,0.38308695,0.3906348,0.38997772,0.38562846,0.37814283,0.36767367,0.35623622,0.3463818,0.33941975,0.33578297,0.3354888,0.33558115,0.32968053,0.31126276,0.28046742,0.24629058,0.22373755,0.22553425,0.25460905,0.299803,0.34093162,0.35851514,0.34456643,0.3053256,0.2589241,0.22722878,0.22624953,0.25732216,0.30565536,0.35000584,0.3758428,0.383121,0.38140428,0.3802139,0.38257468,0.38616952,0.38824365,0.38824046,0.38747272,0.38570726,0.37984917,0.36426368,0.33672273,0.30231813,0.27500382,0.26749453,0.2828702,0.30906987,0.32904503,0.32974777,0.30999756,0.27614233,0.23874092,0.20703132,0.18784904,0.18346252,0.19299628,0.21468394,0.24672963,0.28639457,0.32678354,0.359786,0.378105,0.37967286,0.3646587,0.33576643,0.29687536,0.2553728,0.2191652,0.19368617,0.17910786,0.173216,0.17470066,0.18408994,0.20024234,0.21797043,0.22945158,0.22949797,0.21887691,0.2041344,0.19300915,0.19039387,0.19545412,0.20337422,0.2087322,0.2091266,0.20545025,0.19932848,0.19169885,0.18236811,0.17326349,0.16861016,0.17553301,0.19827716,0.23512518,0.2756393,0.30756298,0.32339355,0.32554743,0.3224765,0.32288113,0.33092296,0.34556028,0.36276415,0.37766218,0.38721868,0.3896973,0.38395295,0.36706102,0.33671725,0.29406345,0.24738562,0.20963472,0.19462216,0.21077597,0.25673,0.3192511,0.37732396,0.41302148,0.41959116,0.4024783,0.37117305,0.3335267,0.2948915,0.25990486,0.23330544,0.21812207,0.2179869,0.23589234,0.2728369,0.3202893,0.36330903,0.387004,0.38861635,0.37597308,0.36125168,0.35150254,0.34732148,0.34665608,0.34771243,0.35103807,0.3556042,0.35940716,0.35915005,0.35567775,0.3530815,0.35692134,0.3678031,0.38057843,0.3848994,0.37102315,0.33454224,0.28151304,0.22745083,0.1913889,0.18686102,0.21442063,0.2611394,0.30531806,0.32822168,0.3224504,0.29458594,0.25783804,0.22282124,0.19387914,0.17223655,0.1626539,0.17290689,0.20710273,0.2575351,0.30638418,0.33607686,0.33999527,0.32422602,0.3013192,0.28275844,0.27453995,0.27684382,0.28495634,0.2934444,0.29902598,0.30314183,0.30823264,0.31481108,0.31906295,0.31697604,0.30720556,0.29299548,0.27916476,0.26962718,0.265206,0.26377153,0.2621294,0.258399,0.25345525,0.24982512,0.24912357,0.25060794,0.2506754,0.24574699,0.23401618,0.21774198,0.20102042,0.1883933,0.18245356,0.18407641,0.1918516,0.20253742,0.21201347,0.2168201,0.21525848,0.20743321,0.19544826,0.18439884,0.1818896,0.19645447,0.22998106,0.27435675,0.3102721,0.32050776,0.30066308,0.26597375,0.24083649,0.24218838,0.2693338,0.30530512,0.33372465,0.34747204,0.3528138,0.35752633,0.3660634,0.37562013,0.38190758,0.38141218,0.37477922,0.3649191,0.35569653,0.34843633,0.34237388,0.33583817,0.32891265,0.32344684,0.32148623,0.32340896,0.3273434,0.33063838,0.3317348,0.33164978,0.3331908,0.33864796,0.346964,0.35391665,0.3543856,0.34592104,0.32932982,0.30810955,0.28641066,0.26805758,0.25532046,0.24938925,0.25156012,0.26447442,0.28964067,0.3238811,0.3578631,0.3813528,0.38908443,0.38286963,0.36757228,0.34804717,0.32849312,0.31317428,0.3046404,0.30293468,0.30578896,0.31020412,0.31127027,0.3033189,0.28253576,0.25258988,0.22430082,0.212386,0.2255762,0.26194677,0.3059446,0.33795765,0.34180078,0.31513548,0.26785615,0.22090288,0.19519806,0.2046247,0.24627595,0.3047541,0.35873976,0.39529678,0.41194138,0.41613516,0.41528794,0.41411993,0.41260576,0.40960136,0.40301052,0.39130107,0.37363443,0.35159206,0.3273859,0.30319571,0.27934468,0.25730148,0.2398992,0.2323377,0.23851557,0.2580873,0.28403917,0.30500033,0.31210428,0.3043674,0.28866243,0.27329037,0.2624407,0.25511888,0.24787037,0.23744266,0.22268052,0.20547964,0.19198109,0.1904102,0.20647836,0.23808001,0.2747536,0.30414224,0.3193679,0.32302484,0.3227931,0.3254577,0.33205056,0.33799067,0.3362616,0.32118133,0.29192612,0.25262776,0.2114038,0.17626481,0.15216821,0.13886781,0.13248213,0.12887911,0.12622109,0.12537044,0.12743507,0.1323998,0.13852017,0.14404649,0.14802317,0.15052141,0.15153252,0.15046434,0.14671813,0.14065772,0.1341107,0.12946157,0.12920856,0.1358973,0.15267362,0.18164022,0.22166896,0.26643148,0.3068699,0.3348545,0.34742117,0.34618533,0.33527246,0.3178357,0.2962754,0.27291936,0.25107464,0.23250334,0.21643694,0.19955747,0.18048888,0.16173874,0.1505986,0.15393768,0.17401497,0.20481205,0.23604317,0.25872245,0.2705312,0.2746543,0.2758607,0.27664506,0.27610502,0.27137053,0.25927702,0.23874228,0.21143508,0.18195759,0.1560839,0.13960457,0.13704175,0.15010227,0.1759848,0.20696294,0.2342329,0.25203404,0.2602757,0.26197654,0.2608305,0.2590451,0.2578502,0.2570722,0.25575688,0.25157273,0.24148546,0.22179155,0.1908996,0.15125608,0.11012519,0.075455576,0.051809043,0.03854854,0.03357938,0.037247017,0.053623725,0.08509934,0.12743892,0.16767383,0.19160007,0.19053185,0.16680562,0.12968986,0.09172717,0.06269955,0.048255876,0.047107507,0.053367417,0.060166955,0.06679294,0.07989117,0.10755139,0.15018469,0.1969207,0.23395586,0.25322834,0.25725746,0.25284982,0.24628508,0.24010853,0.23537184,0.2325675,0.23199831,0.23291123,0.23315525,0.23008882,0.22188295,0.20927769,0.19489028,0.18192877,0.17204951,0.16559651,0.1621102,0.16097045,0.1611513,0.16143732,0.16112058,0.16023858,0.15920743,0.15840028,0.15826191,0.15933599,0.16138975,0.1628352,0.16090865,0.15331012,0.13910192,0.11908076,0.095321774,0.071016036,0.049792413,0.034395088,0.025468076,0.021483256,0.020065375,0.01932675,0.018413482,0.017192064,0.015808448,0.0144850975,0.013383582,0.01255832,0.012105293,0.01290533,0.017758222,0.031664625,0.060253143,0.10583719,0.16457112,0.22622204,0.2785009,0.3114811,0.3216349,0.3128713,0.29495648,0.27815095,0.26638576,0.255482,0.23868454,0.21515857,0.19359541,0.18494411,0.19449471,0.21569036,0.23680396,0.24619114,0.2400678,0.22172879,0.20264913,0.1955495,0.208071,0.23503737,0.2633824,0.28217378,0.293146,0.31230292,0.35834336,0.44069228,0.5427597,0.6320073,0.6702671,0.6452489,0.5691571,0.4791001,0.40636337,0.3688893,0.3603272,0.36643776,0.37223077,0.37190318,0.36555266,0.35771886,0.35338935,0.35602853,0.36517274,0.37779513,0.38984418,0.3995993,0.40636036,0.41048172,0.41082075,0.406703,0.39878345,0.39150825,0.3907179,0.39990994,0.41489437,0.42595127,0.423035,0.40460327,0.3760333,0.34664574,0.3217055,0.30345592,0.29045355,0.28119668,0.27335623,0.26585972,0.25795075,0.24962439,0.23962766,0.22660606,0.21009983,0.19325943,0.18074131,0.17512085,0.17496578,0.18021272,0.20074831,0.25375307,0.35078385,0.47826257,0.6010713,0.6788239,0.69848466,0.6781692,0.6581008,0.6614645,0.68244714,0.68578357,0.6443462,0.5562207,0.45191607,0.36667326,0.3228402,0.31829023,0.33728555,0.36226332,0.3853023,0.41251448,0.45676318,0.526161,0.6086194,0.67607015,0.69772977,0.66294307,0.5869383,0.5018974,0.43631148,0.40054467,0.38711497,0.38140258,0.3749061,0.36930975,0.37246522,0.38665232,0.40448216,0.41227493,0.4036176,0.38192526,0.35636917,0.33209062,0.31065026,0.2943996,0.28675178,0.28934392,0.29752088,0.30630255,0.31263813,0.31874585,0.32623217,0.33588445,0.34644142,0.35770008,0.36954772,0.38195205,0.39399132,0.4045283,0.4119731,0.41400656,0.40737835,0.39075783,0.36863717,0.35590646,0.37135187,0.42781043,0.51573384,0.6064301,0.6600585,0.6517587,0.58176017,0.48154867,0.39205468,0.34334692,0.3369384,0.35398802,0.37167767,0.37832865,0.3747772,0.36829543,0.3655672,0.36847916,0.37312794,0.37130484,0.35452446,0.31929755,0.2717463,0.2268885,0.20067324,0.19847047,0.21145642,0.22632714,0.23907113,0.2578089,0.28829476,0.32296634,0.34230137,0.33406845,0.299986,0.25465053,0.21198308,0.18349838,0.17538609,0.18861075,0.21540643,0.24210697,0.25652447,0.2550964,0.24536295,0.24003881,0.24862929,0.27020958,0.29576504,0.31551638,0.327422,0.3379915,0.35938528,0.40229884,0.47083792,0.5558593,0.6357744,0.6842806,0.6897686,0.6655212,0.6444256,0.6495307,0.67517805,0.68666905,0.65157753,0.56106013,0.4383043,0.31767336,0.22942142,0.18607779,0.18557262,0.21523018,0.2607122,0.3156651,0.38147545,0.46431184,0.5571038,0.63967013,0.6797964,0.65889114,0.58173007,0.48036933,0.3902067,0.33202967,0.30320564,0.2908677,0.2856557,0.28849235,0.30463064,0.3328694,0.36285695,0.3794521,0.37729537,0.361737,0.34548596,0.33450523,0.32778728,0.320264,0.31055737,0.30084717,0.29352573,0.28855726,0.28456283,0.2819512,0.28375974,0.29266238,0.30831778,0.32631895,0.3422058,0.35378337,0.36272478,0.3709338,0.37862793,0.38276303,0.37916985,0.3655641,0.34626472,0.3360515,0.35588753,0.41985127,0.51900643,0.61953336,0.67890745,0.6710877,0.60186774,0.5037675,0.4162185,0.36430487,0.35053277,0.36072528,0.3773348,0.38921955,0.39389947,0.3939494,0.39297852,0.3931928,0.39491275,0.39570883,0.39118543,0.3779663,0.35829648,0.3403966,0.33307454,0.33814847,0.3487166,0.3554677,0.35528588,0.35401246,0.3575578,0.3641738,0.3623452,0.34486747,0.3148938,0.28670785,0.27104318,0.27026713,0.27731174,0.28385094,0.2843306,0.27800152,0.26663467,0.25226015,0.2368849,0.22470455,0.22160612,0.23103665,0.24860243,0.26395705,0.26889798,0.26674265,0.2735653,0.30963778,0.38451672,0.48670086,0.58492374,0.64589113,0.65567476,0.632172,0.6123769,0.62367535,0.659066,0.6802506,0.64695543,0.5488115,0.41415378,0.29078707,0.21580307,0.1964203,0.21169023,0.23307848,0.24641037,0.2640734,0.31041682,0.40112123,0.5207426,0.6324602,0.69220704,0.6786814,0.5978804,0.48549291,0.3822442,0.31765845,0.29501593,0.30025423,0.31578276,0.33288553,0.3526064,0.3764577,0.4004952,0.4131215,0.4049431,0.37297642,0.3253133,0.2754133,0.24061607,0.23283063,0.25361097,0.29043934,0.32631266,0.35030684,0.36284855,0.37012026,0.3762525,0.38066193,0.38043168,0.37459645,0.3650705,0.35636103,0.35218838,0.35383782,0.35772285,0.3577087,0.34766293,0.32671592,0.30134082,0.28705183,0.3033807,0.36468694,0.46527028,0.5755195,0.6513091,0.66086596,0.6031766,0.5106927,0.426015,0.37783837,0.3670224,0.3758912,0.38462964,0.38427737,0.3776189,0.3726323,0.37601927,0.38846648,0.40590453,0.4218472,0.4327631,0.43891302,0.44353876,0.44888481,0.45497122,0.45944932,0.4593732,0.45329913,0.44305563,0.43439308,0.4310571,0.43133268,0.42544642,0.40545955,0.36915365,0.32390866,0.2800537,0.24890496,0.2371186,0.24209349,0.25023594,0.24426998,0.21825343,0.1830317,0.16067062,0.16712521,0.20276065,0.2510893,0.2906203,0.30662248,0.30015647,0.2860417,0.2864006,0.31969464,0.3923296,0.4917796,0.58971876,0.65476424,0.67171603,0.6523342,0.62748855,0.6240751,0.64238834,0.655004,0.62610793,0.54020876,0.41278124,0.28073624,0.17707537,0.115232386,0.087860085,0.08197504,0.09262549,0.12999965,0.20817523,0.32981208,0.4709189,0.59075737,0.6500843,0.6367185,0.56648314,0.4744983,0.39167762,0.33474708,0.30249855,0.28650278,0.27876353,0.27774426,0.28725195,0.31037137,0.34440577,0.37775758,0.3999537,0.40681532,0.40477455,0.40038458,0.398103,0.39771998,0.4001058,0.40513828,0.41252983,0.4202454,0.4272149,0.4323311,0.43473724,0.43419757,0.43259194,0.4330351,0.43650994,0.440648,0.4417602,0.4386345,0.432863,0.42598772,0.41624668,0.4000133,0.37712243,0.357473,0.35893717,0.39622164,0.46604943,0.54395944,0.5973882,0.603878,0.5624129,0.4891627,0.40856802,0.34228635,0.3036033,0.29365692,0.30397698,0.32146513,0.3355272,0.3412838,0.34095284,0.3411093,0.34841645,0.36434686,0.38316512,0.39653024,0.39867607,0.39100918,0.37868488,0.36833712,0.36289647,0.36352143,0.36922693,0.38153934,0.39936197,0.41841877,0.4274133,0.41935888,0.39539778,0.36755386,0.34631535,0.33550712,0.3308982,0.32714036,0.32136586,0.3133371,0.30399153,0.29374135,0.28311524,0.27233312,0.26183367,0.25192404,0.24381317,0.24039598,0.24523103,0.2616422,0.2922027,0.34149873,0.4134314,0.50460917,0.597027,0.6635365,0.68618506,0.6716318,0.6485962,0.6426702,0.65391475,0.65570277,0.61944777,0.54076385,0.44374886,0.36168802,0.31188774,0.287559,0.26934078,0.24538922,0.22220433,0.222197,0.26780972,0.3668491,0.49957,0.6252694,0.6959316,0.6851344,0.60046357,0.48406017,0.3844129,0.33219326,0.32629657,0.34661087,0.3726053,0.39563,0.41749072,0.43925798,0.45632157,0.4574567,0.43625805,0.39307502,0.33722663,0.27867767,0.23013161,0.20419125,0.2109732,0.24798137,0.29917085,0.3439313,0.37063265,0.3810753,0.38372955,0.38501418,0.38616988,0.3861238,0.38477984,0.38381422,0.38561615,0.39151064,0.40144053,0.41373608,0.42612442,0.43607983,0.44336447,0.45239493,0.472546,0.5127694,0.57272273,0.6377985,0.6826491,0.6843531,0.6358249,0.5510403,0.45723358,0.37958694,0.33054125,0.30839172,0.30525795,0.3142749,0.33264694,0.35913885,0.3901478,0.4195173,0.44091144,0.45252764,0.45675468,0.45789608,0.4580005,0.45716608,0.45509234,0.45299235,0.4522945,0.45389792,0.4576861,0.4637557,0.47030464,0.47293928,0.46547624,0.44615558,0.41974756,0.3943349,0.37418804,0.35780728,0.34188986,0.32511723,0.308247,0.29204977,0.27745542,0.26685098,0.26271284,0.26508296,0.27013275,0.27381888,0.27518082,0.27687085,0.28165388,0.29146346,0.30992112,0.3454322,0.40624568,0.49099612,0.5811932,0.6485235,0.6725297,0.657488,0.6314699,0.62465125,0.64426655,0.6661219,0.65460414,0.5909373,0.48883545,0.38176593,0.29985002,0.25362945,0.23740031,0.24012911,0.25522053,0.28483644,0.338706,0.42706826,0.54508305,0.66468066,0.74114436,0.7405057,0.6616138,0.5396841,0.42207965,0.3418136,0.30382654,0.29362527,0.29339293,0.2939997,0.29858103,0.3135722,0.3409251,0.3694689,0.38564265,0.38029706,0.3572125,0.3248116,0.29393992,0.27375433,0.27175447,0.28851715,0.31701523,0.34634575,0.3687149,0.3818802,0.38694587,0.38631248,0.38203564,0.3772477,0.37360013,0.37193558,0.3706262,0.36944494,0.36887905,0.37094072,0.37523142,0.37962556,0.38109612,0.379315,0.37720764,0.37838694,0.38411888,0.39005494,0.38890275,0.37301457,0.34091428,0.29874548,0.26034963,0.23989354,0.24441683,0.26768172,0.29346514,0.3049307,0.2957987,0.27354142,0.2537441,0.2492436,0.2629771,0.28725195,0.309625,0.31969893,0.3152571,0.30199245,0.289389,0.28294992,0.28194514,0.28114402,0.275586,0.2624825,0.24253805,0.22142673,0.2098788,0.21765785,0.24630451,0.28572774,0.32213005,0.34610394,0.35726702,0.3585116,0.35099876,0.33244777,0.30178106,0.26295373,0.22441615,0.1943054,0.17600048,0.1678726,0.16715594,0.17241268,0.18386756,0.19941032,0.21512932,0.22584765,0.22954474,0.22574164,0.21574928,0.20132041,0.18766934,0.1824127,0.19242747,0.2181014,0.25271252,0.28626665,0.31074092,0.32202983,0.3189459,0.30383435,0.2834638,0.2679962,0.26464772,0.27238044,0.28287223,0.28784668,0.28591678,0.28218213,0.2823422,0.28699014,0.29177368,0.29241857,0.28892687,0.2855685,0.28730822,0.29628924,0.31100747,0.32563755,0.33234283,0.32278547,0.2947235,0.25442156,0.21733336,0.19893233,0.20601535,0.23162955,0.2606473,0.27978125,0.2843089,0.27766213,0.26597887,0.254246,0.24506412,0.23918153,0.23539306,0.23119491,0.22515444,0.21990883,0.22167017,0.23468421,0.25530958,0.27156177,0.2720102,0.2549012,0.23190649,0.21850319,0.22341411,0.24214272,0.26306438,0.27556768,0.27560747,0.26734543,0.26055098,0.2669597,0.29060066,0.32455146,0.35376218,0.36580035,0.35804307,0.33702493,0.3143203,0.29843083,0.29159376,0.28705874,0.2756273,0.252499,0.22377574,0.20314789,0.20293711,0.22466521,0.2574761,0.28523195,0.29713926,0.2937827,0.28519288,0.28180993,0.28674176,0.29357532,0.29291514,0.2797557,0.25727478,0.23410396,0.21968931,0.22160572,0.24219315,0.27739933,0.3153813,0.34455645,0.35969886,0.36637127,0.37228653,0.37967357,0.38085198,0.36521542,0.32793722,0.27596384,0.2252108,0.19212289,0.18448317,0.19790666,0.22006522,0.23932618,0.2511407,0.25733948,0.2609967,0.26169756,0.25687596,0.24494259,0.22837697,0.21193492,0.20102508,0.200339,0.21321045,0.23963101,0.27364337,0.30570567,0.32762232,0.33789408,0.3403305,0.34002045,0.33937708,0.3384737,0.33658433,0.3337989,0.33071414,0.32804713,0.32571518,0.32302845,0.31891096,0.3123809,0.30246767,0.28833854,0.27018395,0.24966268,0.22945869,0.21171987,0.19779205,0.18955962,0.19095682,0.20751339,0.24167998,0.28822616,0.3333683,0.36260045,0.37026986,0.36326137,0.35457662,0.3532658,0.35982713,0.3679898,0.3710734,0.3656571,0.35363063,0.33901384,0.32595325,0.31593457,0.30926833,0.30517152,0.30279335,0.30080616,0.29793692,0.29332387,0.28645188,0.27733156,0.26635024,0.25551715,0.25070977,0.2635177,0.3082081,0.39062798,0.4986504,0.6017044,0.667082,0.6766634,0.6364201,0.5694483,0.5033356,0.45709863,0.43550766,0.43177113,0.43549445,0.43972096,0.4419384,0.44150814,0.43796507,0.43141517,0.4234253,0.415436,0.4084067,0.4019489,0.39632192,0.3914324,0.38754967,0.38410333,0.38051543,0.37707707,0.37535676,0.37909952,0.38933492,0.40336403,0.41203067,0.40840784,0.3908069,0.36609903,0.34188172,0.32201964,0.3046889,0.28617108,0.265287,0.24354587,0.2243678,0.21030612,0.20408727,0.20779218,0.22286354,0.24710107,0.27549982,0.30120564,0.32022056,0.33352843,0.34932747,0.38053694,0.4377284,0.5191142,0.6048586,0.6651245,0.6794324,0.6536786,0.617868,0.6021599,0.61243194,0.6267757,0.617184,0.5738358,0.51038414,0.44860253,0.39953637,0.359308,0.31817606,0.27476338,0.2397127,0.23319888,0.27252635,0.36160728,0.4814417,0.5933464,0.65621877,0.64657336,0.57332414,0.46879575,0.37304965,0.31151333,0.2891656,0.2927874,0.3046944,0.3139942,0.32247248,0.33767366,0.36291197,0.3897613,0.40616152,0.40449795,0.38822392,0.36567912,0.3460296,0.3356409,0.33686307,0.34657526,0.35606503,0.35754445,0.3487874,0.33561853,0.32614782,0.32713386,0.3402395,0.3625733,0.38614872,0.40161026,0.4028338,0.39207813,0.37873855,0.3727125,0.37661186,0.3837897,0.38682106,0.38685122,0.39818203,0.43597534,0.50339055,0.58173555,0.641449,0.65810245,0.6292593,0.57384163,0.51914746,0.48297802,0.46550047,0.45499802,0.44003272,0.41782296,0.39402595,0.37717998,0.3736329,0.3852124,0.40878248,0.43801346,0.46514788,0.48461995,0.49217948,0.48612908,0.46650204,0.43890795,0.41154328,0.39286384,0.3864101,0.3928009,0.40898886,0.42967668,0.4466817,0.45460472,0.4532092,0.448074,0.44497642,0.44730797,0.45414641,0.46195808,0.46560314,0.4615622,0.44957355,0.43332437,0.41775188,0.40640542,0.40051422,0.39935175,0.4023268,0.40747356,0.41292873,0.4165615,0.4215568,0.43718803,0.47581246,0.54228467,0.62308246,0.689867,0.71418804,0.69304186,0.651465,0.62669533,0.6332185,0.65267205,0.6486731,0.60084647,0.5186126,0.43052867,0.3604869,0.31595275,0.29207173,0.28256938,0.28599763,0.3064047,0.35016978,0.41940618,0.5056209,0.5853453,0.630372,0.62135,0.56381124,0.48296395,0.4095584,0.36019847,0.3342421,0.3206966,0.31041697,0.30131003,0.30004084,0.31466007,0.34877396,0.39310542,0.43230203,0.4510316,0.4432589,0.41191527,0.36929736,0.33444312,0.3230959,0.33732757,0.36137524,0.37600815,0.37262133,0.3591031,0.34889615,0.3512075,0.3650744,0.38375744,0.3972642,0.3992403,0.38825727,0.37121806,0.35629222,0.3485333,0.3437997,0.33515868,0.32001063,0.3083708,0.31921688,0.36920297,0.45799008,0.56217986,0.64484686,0.6753223,0.6475119,0.5820632,0.511965,0.46222994,0.43893906,0.43297324,0.43247327,0.43111393,0.4296751,0.42997226,0.4317952,0.43082833,0.42284617,0.4062574,0.38524047,0.36696193,0.35771486,0.358019,0.36312833,0.36626866,0.3631148,0.35392335,0.3435181,0.34046853,0.3501984,0.3698795,0.38460016,0.38024673,0.3533928,0.3173237,0.2887678,0.27729228,0.28052726,0.29077196,0.3014028,0.30801687,0.30761728,0.2974958,0.27945507,0.25995514,0.24883042,0.2503827,0.26175666,0.27315247,0.27759025,0.2753645,0.2783508,0.30421564,0.3672117,0.46524274,0.57480913,0.66023713,0.6939327,0.6772439,0.63936114,0.61731964,0.6230757,0.635787,0.6169724,0.5472502,0.44119787,0.3394902,0.2772468,0.26360998,0.28004447,0.30013216,0.3098239,0.3164072,0.34018624,0.3966714,0.48227692,0.5715868,0.63137007,0.63720995,0.5884502,0.50540274,0.41989937,0.3565538,0.32453465,0.31646606,0.32053983,0.32904544,0.34296426,0.36404005,0.38999596,0.40993997,0.4137341,0.39559188,0.36025867,0.3172557,0.2806883,0.26312736,0.2707492,0.29689994,0.32484674,0.33983126,0.33965948,0.33547118,0.34090856,0.3609606,0.38853434,0.40988353,0.41515216,0.4043816,0.38738468,0.37527037,0.3732547,0.37696123,0.3770049,0.3653865,0.3438653,0.3256186,0.3333684,0.38411832,0.47832337,0.58895904,0.6764546,0.7046618,0.66607565,0.58082515,0.48655733,0.4137137,0.3738687,0.36059678,0.36064124,0.36426935,0.36727226,0.3697281,0.37267545,0.377421,0.3849242,0.39540687,0.40802798,0.42114878,0.43332005,0.4435636,0.45105958,0.45478734,0.4542794,0.45082203,0.44740045,0.44746622,0.45120183,0.45536947,0.45386,0.4438223,0.4264871,0.40711746,0.3895775,0.3738357,0.35487127,0.32561293,0.28218576,0.22805323,0.17374569,0.13113566,0.10865768,0.10939268,0.13304709,0.1750049,0.225697,0.27035105,0.29612222,0.3006728,0.2977095,0.31198648,0.36340496,0.4527948,0.5544665,0.6323916,0.6595934,0.6414332,0.6069052,0.590734,0.6016431,0.6229314,0.6259169,0.599086,0.5516692,0.5049539,0.47293746,0.4572579,0.45017287,0.44330084,0.43342182,0.42575696,0.43298516,0.46823883,0.53435135,0.61519,0.6790624,0.6941152,0.6480194,0.556302,0.45327082,0.37242922,0.33020577,0.32174304,0.32896203,0.3337983,0.3314762,0.32913363,0.33707342,0.35395944,0.37155142,0.3819206,0.3870417,0.39103246,0.39583203,0.3996309,0.40121964,0.40048823,0.39663517,0.38992378,0.38275352,0.37932035,0.3800594,0.3815874,0.37907603,0.37211382,0.36327696,0.35692856,0.3551048,0.3585869,0.36475253,0.36953083,0.367772,0.3570292,0.33621502,0.3048233,0.263379,0.21820158,0.18400769,0.1760292,0.20016307,0.24513127,0.29234934,0.32527128,0.33917347,0.3355956,0.31858954,0.2905766,0.25505087,0.21732748,0.182709,0.15380304,0.1299778,0.110016994,0.09364241,0.080831915,0.07066357,0.06171709,0.05396886,0.049213614,0.049833655,0.056590687,0.06735566,0.07762039,0.08259291,0.08058991,0.07552332,0.076733984,0.09370253,0.12842967,0.17131382,0.20625477,0.22218007,0.22089277,0.21414737,0.21320005,0.22080995,0.23261338,0.24298747,0.25006655,0.25410792,0.25526688,0.25246298,0.24563389,0.23679696,0.22873938,0.2226358,0.21678163,0.20753543,0.19165204,0.16825779,0.14027338,0.11283681,0.09110006,0.07681894,0.06876204,0.064581774,0.06488433,0.07322253,0.094009735,0.12807828,0.17123263,0.21515469,0.25020054,0.26905552,0.26877055,0.25182062,0.22310525,0.18774037,0.14948529,0.11213484,0.07967921,0.055119928,0.039091136,0.030157104,0.027794465,0.03397559,0.053536613,0.088569246,0.13569438,0.18418431,0.22416568,0.25038567,0.26523182,0.27214086,0.27344656,0.26935425,0.2617503,0.25489697,0.25349906,0.25882757,0.2668154,0.27027205,0.2640476,0.24905872,0.23243421,0.22273014,0.22507282,0.23830648,0.25714198,0.27514723,0.28784773,0.29262647,0.28969243,0.28143266,0.27333903,0.26977494,0.27210903,0.27593887,0.2754697,0.26611558,0.24858248,0.22964378,0.22333808,0.2481746,0.31701908,0.4250357,0.5433225,0.6316152,0.65955025,0.625565,0.5545247,0.48034513,0.42568183,0.39510676,0.38170156,0.37747213,0.37782255,0.38084504,0.3849145,0.38884044,0.39103246,0.3900644,0.38451615,0.37482414,0.36235705,0.3487307,0.3343768,0.32012054,0.3077205,0.29960814,0.29757455,0.30276823,0.31665802,0.33904412,0.3656931,0.38720012,0.39507875,0.38736093,0.37035942,0.3534021,0.34269094,0.33945394,0.3400254,0.340083,0.33591267,0.3275957,0.31648424,0.3059905,0.29985568,0.3039876,0.32164717,0.35072064,0.3806368,0.39852813,0.39764324,0.38493273,0.38168886,0.40998372,0.4790821,0.5703195,0.65007377,0.6854479,0.6742285,0.6392596,0.61586124,0.6151925,0.62334204,0.6109154,0.5660283,0.49813402,0.4299426,0.3747789,0.33180487,0.29185614,0.25074875,0.21546735,0.2035697,0.23461144,0.3172405,0.4381782,0.5614125,0.64503235,0.661932,0.6159114,0.5348776,0.45570633,0.40356937,0.3858415,0.39301953,0.40959892,0.42296815,0.43078768,0.43823192,0.4511051,0.46671745,0.4764042,0.47118425,0.45077065,0.42138502,0.39296743,0.3724744,0.36396322,0.36710656,0.37913176,0.39386657,0.4052484,0.40946615,0.40797892,0.4046651,0.40257466,0.4019415,0.40168425,0.40165785,0.40208963,0.40323946,0.40444168,0.40554753,0.4062982,0.40652132,0.40689576,0.4114485,0.42948422,0.46879554,0.5289708,0.5916595,0.63120574,0.6242926,0.5702179,0.48659715,0.40353763,0.34201822,0.30909073,0.29728565,0.29696408,0.3018134,0.3108256,0.32407653,0.3404273,0.35693204,0.37039244,0.37872562,0.38175336,0.3809476,0.37873885,0.37719032,0.3772057,0.37817013,0.3791932,0.3804115,0.38391006,0.39320233,0.4099864,0.4308555,0.44480824,0.43941763,0.408698,0.36012924,0.3092359,0.27006662,0.24678452,0.23498254,0.22777836,0.22098966,0.21345167,0.20517547,0.19638194,0.18864481,0.18478785,0.1873668,0.19625378,0.20805381,0.21801347,0.22475378,0.23514247,0.2658808,0.33336458,0.44020304,0.5621392,0.66007113,0.7010059,0.6873854,0.6510059,0.6319855,0.639757,0.6525186,0.63323504,0.56719023,0.46750307,0.36656713,0.2892897,0.24395262,0.22325265,0.21685326,0.22055723,0.23941626,0.28346547,0.35694507,0.45036134,0.53989536,0.5992463,0.6128526,0.5840699,0.5315976,0.4790695,0.4436756,0.43016604,0.43226603,0.438948,0.44150612,0.43904805,0.43729845,0.44339404,0.45727324,0.47281525,0.4825211,0.48496082,0.48095343,0.47050846,0.45097813,0.4237413,0.39535567,0.3748143,0.36640742,0.36918738,0.37943897,0.39433375,0.41166165,0.4287047,0.44238117,0.45022324,0.451865,0.44828153,0.44124946,0.43203166,0.4216545,0.4110438,0.40086758,0.3922458,0.3886824,0.39931586,0.4343252,0.49618232,0.56918716,0.62533075,0.638626,0.6030707,0.5346227,0.4609332,0.40484896,0.37459219,0.36529398,0.36603156,0.36801818,0.36673495,0.3626795,0.35786948,0.35481215,0.3534313,0.35321292,0.35290483,0.35262933,0.3518206,0.3498845,0.3463913,0.34357858,0.34576955,0.35723618,0.37812042,0.4045852,0.42945814,0.44523022,0.44429454,0.42350793,0.3866204,0.34480885,0.30932942,0.28585753,0.27293345,0.26645088,0.2624562,0.25849745,0.25298673,0.2462675,0.23968054,0.23486616,0.2321195,0.2316888,0.2340986,0.24060011,0.25145903,0.26777458,0.2927027,0.33412614,0.39859346,0.485399,0.57785773,0.6500879,0.67930585,0.666238,0.63430756,0.6153121,0.6207316,0.6369186,0.6365923,0.60616654,0.5528897,0.49717155,0.45234975,0.4158039,0.3748645,0.32196406,0.26642498,0.23128535,0.24125262,0.305304,0.40914896,0.5174448,0.5915306,0.608237,0.57153386,0.5065481,0.4429632,0.39966586,0.37948608,0.3750939,0.37787512,0.38379967,0.39375174,0.40852824,0.42488953,0.4344231,0.4301937,0.41278243,0.39090312,0.37481093,0.3675213,0.3653098,0.3602244,0.34955135,0.3345647,0.32223907,0.31708524,0.32145068,0.33236352,0.34684834,0.3628432,0.3804312,0.39872682,0.41479507,0.42531452,0.4292166,0.42845032,0.42518166,0.4192567,0.40760663,0.3890848,0.36941588,0.36437055,0.3901566,0.45102772,0.5279698,0.5883028,0.6032469,0.5671796,0.497339,0.42200422,0.36333916,0.32980916,0.3178433,0.31950203,0.32868075,0.34282097,0.36121893,0.38210317,0.40229908,0.41846266,0.4297432,0.43840846,0.44791833,0.46045223,0.4747982,0.4882821,0.49818408,0.50418943,0.50729877,0.50954896,0.5127172,0.5170293,0.51989084,0.51486653,0.49618685,0.46189162,0.41694725,0.36868152,0.323837,0.28617206,0.2576305,0.23861726,0.22763573,0.22235264,0.22077477,0.22255732,0.22786862,0.23736428,0.25206974,0.27344656,0.300741,0.3291545,0.3523623,0.3693298,0.3897196,0.42890847,0.4953934,0.57813466,0.6492359,0.68146724,0.6709495,0.6406327,0.62206763,0.62648314,0.63910717,0.6342561,0.60143524,0.54984325,0.49881557,0.4615201,0.43951336,0.42618462,0.41343343,0.39947096,0.39028928,0.3981729,0.43126586,0.48568487,0.54150826,0.57186574,0.5587539,0.50635844,0.4417175,0.3964385,0.3876997,0.4078543,0.43677387,0.45639193,0.4614456,0.45593402,0.44818747,0.44487038,0.44887197,0.45786163,0.4669586,0.47243726,0.47413325,0.4751366,0.4785502,0.48625088,0.49669075,0.50725704,0.5147418,0.51889473,0.52050906,0.5213613,0.5208259,0.51751524,0.5099493,0.49944282,0.48971805,0.48425677,0.48428002,0.4871836,0.49036217,0.489978,0.48268655,0.46442652,0.43916294,0.42251852,0.4365079,0.49146843,0.5709321,0.63997144,0.66568595,0.6409101,0.5818214,0.5162763,0.46450296,0.43397328,0.41954768,0.41048434,0.39723757,0.376701,0.3534162,0.3345406,0.32467243,0.3228838,0.32536197,0.32876933,0.33209276,0.3355136,0.338492,0.33957598,0.33775342,0.33369505,0.32974592,0.32944036,0.33753726,0.3573734,0.38679728,0.41397253,0.42264113,0.40129304,0.35314822,0.29300508,0.23910736,0.20328557,0.19091074,0.20228499,0.23404956,0.27672544,0.31717548,0.3443507,0.35539985,0.3544365,0.3478622,0.34044752,0.3365928,0.34087178,0.35853,0.39206827,0.44185337,0.50445586,0.57334334,0.63563627,0.67464846,0.6781333,0.6518337,0.62014884,0.6103582,0.627453,0.65080935,0.6508948,0.6166034,0.55931216,0.500381,0.4511143,0.4092369,0.36706135,0.3234167,0.28669167,0.27075267,0.2895374,0.3493359,0.4435908,0.54636675,0.6236894,0.6474347,0.6155531,0.5479304,0.47593972,0.42159796,0.3931177,0.38580143,0.3916029,0.40349826,0.41832265,0.43509018,0.45219818,0.46484363,0.4663849,0.4534143,0.4295963,0.40386295,0.38443315,0.37357822,0.3683021,0.3640335,0.35894004,0.3543912,0.35340866,0.3590466,0.372242,0.3912294,0.41041997,0.42342094,0.42618302,0.4192642,0.4066906,0.39277413,0.38135675,0.37568906,0.37957898,0.39440122,0.4181294,0.44527265,0.4753941,0.5136803,0.56895417,0.6362758,0.6951582,0.71452165,0.6782818,0.5953477,0.49683654,0.41418424,0.36430743,0.34699583,0.35276484,0.37055779,0.39071143,0.4062482,0.41360283,0.41310343,0.40786004,0.40153638,0.39657852,0.3933343,0.39100626,0.38843825,0.3852416,0.38150886,0.37806895,0.37633142,0.37891316,0.38903758,0.40782204,0.43049458,0.4456718,0.44069028,0.41062272,0.3620232,0.30959907,0.26607117,0.23705609,0.21989675,0.20870934,0.19700867,0.1813941,0.16340415,0.1519946,0.15918948,0.19150253,0.24054039,0.28504047,0.30388844,0.29167354,0.2639499,0.248625,0.27111146,0.3409262,0.4462564,0.55763453,0.6418795,0.6786757,0.67274326,0.64760786,0.63033485,0.62978536,0.6350092,0.6233492,0.58202094,0.5150351,0.44084346,0.37755284,0.33378422,0.3080622,0.29514733,0.29347512,0.30632964,0.34121335,0.4014533,0.4816996,0.5623545,0.6198175,0.63546497,0.6088281,0.5537934,0.4927416,0.44261804,0.41038665,0.3921132,0.38133955,0.3749856,0.37596738,0.3880123,0.4099045,0.43365315,0.4486462,0.4497008,0.43992794,0.4292355,0.42591476,0.4319482,0.44187966,0.44809446,0.44660544,0.43883967,0.4302297,0.42482543,0.4236015,0.423082,0.41870162,0.40681472,0.38767835,0.3655263,0.34760794,0.34100887,0.34888303,0.36770296,0.38825667,0.3992113,0.39147672,0.3603758,0.30787808,0.24424993,0.1870727,0.15529363,0.15886724,0.19339176,0.24157178,0.28495395,0.31274804,0.32593915,0.33092222,0.33374175,0.33591917,0.33596203,0.33073673,0.31781662,0.29646638,0.26896128,0.23922281,0.21093957,0.18521757,0.1618076,0.1416049,0.12942371,0.13156892,0.15094717,0.18201923,0.2129244,0.23171008,0.2334248,0.22131944,0.20326237,0.18624753,0.1723374,0.15888037,0.14141534,0.11849064,0.09399902,0.07616509,0.073907666,0.091203846,0.12494018,0.16470385,0.1997003,0.22290857,0.23462059,0.2383373,0.23856743,0.23793799,0.23790301,0.23760824,0.23391785,0.22168279,0.19720037,0.161328,0.12077839,0.08451518,0.05900347,0.045135144,0.03964767,0.038263574,0.038177174,0.038449112,0.03932193,0.041336264,0.04470175,0.049003508,0.053315412,0.056483995,0.0575076,0.0558876,0.051987167,0.047133695,0.043588817,0.044532847,0.053961266,0.07511046,0.10809096,0.14815956,0.18771015,0.21978183,0.24076767,0.2497098,0.24722731,0.2350535,0.21695171,0.19709028,0.1780885,0.15874739,0.13658138,0.11058021,0.08401457,0.062942855,0.054095387,0.062076245,0.08723924,0.12451013,0.16439502,0.197603,0.21925797,0.23078837,0.2369925,0.24243774,0.24856615,0.25326073,0.25171855,0.23846827,0.21059704,0.17035289,0.12607928,0.08936983,0.071344316,0.07773986,0.10699835,0.14945185,0.19207704,0.22343904,0.23905504,0.24077898,0.23445366,0.22599085,0.21975173,0.2175859,0.21916264,0.22276403,0.22610615,0.22627176,0.21909976,0.20036815,0.16874196,0.12873806,0.089287855,0.05973883,0.045701142,0.049328104,0.0694781,0.10177203,0.13679425,0.16337186,0.17316979,0.16505973,0.14328252,0.114326775,0.08466857,0.06088264,0.048557486,0.04899765,0.057548553,0.066285916,0.071479045,0.07780131,0.09510976,0.12876798,0.17321348,0.21508723,0.24266976,0.2529829,0.25077093,0.24312799,0.23510884,0.22938,0.22656001,0.22568347,0.22361459,0.21763857,0.20746689,0.19661355,0.18877931,0.18499248,0.18271774,0.17881602,0.17185313,0.16238753,0.15209909,0.14279272,0.13646248,0.13433321,0.13674758,0.14234228,0.14913702,0.15499128,0.158952,0.16077118,0.16053681,0.1577415,0.15173018,0.14202611,0.12871315,0.11222381,0.093593955,0.07463638,0.05767032,0.04453027,0.035742622,0.030515907,0.02743491,0.025203673,0.023044152,0.020711528,0.018380351,0.016422965,0.015161545,0.014601854,0.0144337,0.014740775,0.017454334,0.027644536,0.052280813,0.09570053,0.1544395,0.21632268,0.26578128,0.2915041,0.291786,0.27472386,0.2537207,0.24011141,0.2363293,0.23554683,0.22826642,0.21099485,0.18988137,0.17508648,0.17371231,0.18344434,0.19620144,0.20223458,0.19685447,0.1813641,0.1639291,0.15591504,0.16592734,0.19349112,0.22903247,0.2621418,0.29120433,0.32689536,0.3839706,0.46798992,0.5649613,0.6439858,0.67272633,0.63582045,0.54620415,0.43759868,0.34786582,0.29848447,0.28933838,0.3034477,0.32119918,0.3289901,0.32328287,0.30718288,0.2870178,0.268429,0.25576198,0.25035968,0.25081366,0.2534921,0.25619122,0.25935695,0.2644199,0.26966047,0.2699658,0.26082364,0.24348456,0.22541614,0.21563065,0.21866108,0.23176391,0.24755923,0.258999,0.26322663,0.2614927,0.25619376,0.24899559,0.2403713,0.23175915,0.22502555,0.22212715,0.22300716,0.22647923,0.23080261,0.23483938,0.23732318,0.23590733,0.22724302,0.210141,0.1890216,0.17442895,0.17609076,0.19604762,0.22557648,0.2540845,0.27811313,0.30830595,0.35947374,0.43882993,0.53154534,0.60760874,0.6351836,0.60323715,0.52667844,0.43880567,0.3702149,0.33387554,0.32445523,0.32860467,0.3362799,0.34265724,0.34554467,0.3422241,0.3309618,0.31315517,0.2939149,0.27863207,0.27007058,0.26709527,0.26742664,0.2685776,0.268145,0.26267266,0.24920769,0.22829731,0.20534164,0.18998975,0.19061,0.2099257,0.24130411,0.27285278,0.29370928,0.30001178,0.29400384,0.27992955,0.26133344,0.24180947,0.22623025,0.2189657,0.22131963,0.23036635,0.24129169,0.24951279,0.25288424,0.2513928,0.24732019,0.24310721,0.24068885,0.24044515,0.24250753,0.24651821,0.25120163,0.2533706,0.251112,0.2487487,0.260838,0.30488026,0.38781294,0.49264026,0.58282447,0.6208195,0.5924106,0.51638085,0.43414328,0.38383326,0.37996948,0.4101222,0.4514985,0.48629975,0.50919086,0.5203574,0.5212963,0.5118397,0.49358794,0.46862844,0.43879187,0.40292323,0.36010346,0.31289747,0.2699235,0.2401269,0.22622697,0.2217743,0.2201504,0.22393326,0.24907278,0.31082812,0.4102691,0.5218403,0.6071871,0.6314667,0.58959323,0.50553584,0.42175886,0.37012208,0.35957456,0.3765267,0.40121296,0.41824785,0.4209831,0.40785718,0.38143894,0.34581748,0.30800113,0.27454242,0.25143477,0.24027772,0.23910205,0.24288572,0.24693978,0.24871273,0.24728847,0.24376698,0.24254876,0.2557375,0.29813403,0.37758064,0.48003563,0.5735192,0.6211755,0.6063172,0.5387048,0.45118523,0.37767422,0.33940807,0.33716318,0.3596866,0.3937415,0.43153867,0.4727203,0.52008575,0.57612485,0.6334316,0.6738828,0.67265195,0.6183342,0.5239114,0.4240401,0.3511335,0.31811205,0.31643364,0.3305973,0.35025203,0.37435555,0.4094287,0.46210966,0.5318914,0.60132456,0.6432225,0.634785,0.57778716,0.49675393,0.4230715,0.37393284,0.3470088,0.32956576,0.310607,0.28949603,0.27739513,0.29366776,0.35238445,0.4482849,0.5515406,0.62234706,0.6325002,0.5820547,0.49659726,0.41187707,0.35395646,0.329232,0.32665297,0.33018446,0.33134353,0.33828667,0.36896834,0.4373869,0.53224844,0.6192638,0.6559604,0.6223786,0.53035146,0.41750014,0.32243904,0.26751056,0.25286126,0.26466691,0.28681788,0.30876055,0.3266001,0.3401258,0.349597,0.35559905,0.35826325,0.35756114,0.3519868,0.34166348,0.3292313,0.32031623,0.31847504,0.3230585,0.32883158,0.3320466,0.33402547,0.3419523,0.35985956,0.38244057,0.394122,0.3816841,0.3436841,0.29297185,0.24576081,0.21241057,0.19282408,0.18188453,0.17443514,0.17002182,0.17023103,0.17722017,0.1897044,0.20434262,0.2159074,0.22059579,0.21790975,0.21161689,0.20918326,0.21915554,0.25190338,0.31611407,0.4143609,0.531761,0.6369385,0.69480485,0.69344705,0.65428954,0.6190439,0.6141715,0.6312768,0.6331139,0.5872178,0.48911044,0.3669877,0.25894657,0.19117673,0.16522737,0.16486245,0.17227261,0.18169463,0.20675965,0.2664503,0.3697991,0.49557176,0.6031154,0.6497369,0.620279,0.53162044,0.42366895,0.33515325,0.2854593,0.27145967,0.27661595,0.28733245,0.30034265,0.32176435,0.35516095,0.3932177,0.41829395,0.4149603,0.3805516,0.32667655,0.2715068,0.23176776,0.21753998,0.22931783,0.25794536,0.29019925,0.31643048,0.3352518,0.34938303,0.36062968,0.36716542,0.36749956,0.36321077,0.3589432,0.35839805,0.3616496,0.3652974,0.36567393,0.36095607,0.35151973,0.33896565,0.3279643,0.32893917,0.35586524,0.41668698,0.5014863,0.5820434,0.6245265,0.60974234,0.5449206,0.46001348,0.39008924,0.35624364,0.35817444,0.38075462,0.40741372,0.42815748,0.44086897,0.44741726,0.451149,0.4547089,0.45942244,0.46530077,0.4714745,0.47735214,0.48206404,0.4849037,0.48502085,0.48224092,0.47690976,0.47058642,0.46625543,0.46696004,0.47107673,0.46997905,0.451261,0.40889844,0.34871754,0.28660268,0.23846114,0.21283488,0.20777577,0.21370828,0.21900064,0.216163,0.20546518,0.19313677,0.18689363,0.19085042,0.20376669,0.21924095,0.22985385,0.23167111,0.22803658,0.22883718,0.2477616,0.2975658,0.38342953,0.49556693,0.6059789,0.6800572,0.69740516,0.67036295,0.63558537,0.62476736,0.6362925,0.63684946,0.5922927,0.49610963,0.3748672,0.26446623,0.1881723,0.14682274,0.12910174,0.12476673,0.13393931,0.168718,0.24163263,0.3531364,0.47795534,0.57673067,0.6145644,0.58611864,0.51467013,0.4376328,0.3826014,0.3576559,0.35562897,0.36540934,0.38008085,0.39689586,0.41594586,0.43533528,0.45121968,0.4566228,0.44870004,0.42999852,0.40941453,0.3942169,0.38756022,0.38721344,0.3894135,0.39006677,0.38684702,0.37902394,0.3688186,0.35906562,0.35240665,0.34846365,0.3456861,0.34199187,0.33764195,0.3335786,0.33157438,0.33156428,0.33354947,0.33597985,0.33846083,0.3397452,0.33927998,0.3332915,0.3157765,0.28056833,0.22848266,0.169666,0.11841085,0.084569134,0.06836957,0.064032845,0.06507091,0.068425365,0.07383705,0.082204305,0.093462855,0.10608604,0.11756176,0.12608108,0.131308,0.13452022,0.13729663,0.14049573,0.14343606,0.1446897,0.14325617,0.13955581,0.13462617,0.12945242,0.12450546,0.12064155,0.11860471,0.11852754,0.119370304,0.12028133,0.1216267,0.124775864,0.13049605,0.13776405,0.1444992,0.14886427,0.15080893,0.1514792,0.15257172,0.15468293,0.15757571,0.16060033,0.16375993,0.16761489,0.1724507,0.17774437,0.18201232,0.18395863,0.1832106,0.18102871,0.17962098,0.18121563,0.18669605,0.19512458,0.20406628,0.21133943,0.21637619,0.22092442,0.2274331,0.23779279,0.2514721,0.26620093,0.27842155,0.28594378,0.28823984,0.2867364,0.28277063,0.27742538,0.27126673,0.26505792,0.2595885,0.2556306,0.25386217,0.2545761,0.25733304,0.2607343,0.2627354,0.2612288,0.2543893,0.24159436,0.22514208,0.2117554,0.21119396,0.22970371,0.2653031,0.3071699,0.34484968,0.3728368,0.39232764,0.4038036,0.4059817,0.39702225,0.3803285,0.36465287,0.3597484,0.37008336,0.3921713,0.41741815,0.43691146,0.44541383,0.4428678,0.43374172,0.4245864,0.42021462,0.4216621,0.42650223,0.43136457,0.43370962,0.43285862,0.43020913,0.42857417,0.43008256,0.43376568,0.4371773,0.44039443,0.45095804,0.4789292,0.52927566,0.5923979,0.6483522,0.675926,0.6662074,0.6264619,0.5763619,0.5350227,0.51086175,0.49907532,0.49037603,0.47904983,0.46635783,0.4559596,0.45070314,0.44958082,0.44958258,0.4470115,0.4416627,0.43585208,0.43236306,0.4308807,0.42961946,0.42797664,0.42760515,0.42972922,0.43367335,0.4379172,0.44293895,0.4495567,0.45565915,0.45384172,0.43668875,0.4026111,0.35934362,0.31857356,0.2901676,0.27712825,0.27724168,0.28548613,0.2974837,0.30970624,0.31952474,0.32474446,0.32452977,0.31973025,0.31232572,0.30477872,0.29914817,0.2981627,0.30582938,0.32895747,0.37515518,0.44676128,0.53394747,0.6137602,0.6620557,0.66972446,0.6514824,0.63493997,0.6389038,0.6568441,0.6635266,0.63519126,0.5706165,0.48910883,0.41710934,0.36905292,0.3452017,0.33662593,0.33774722,0.34961566,0.381085,0.4377869,0.51717204,0.600327,0.6623187,0.67947716,0.64615196,0.575314,0.49544367,0.43327844,0.40216172,0.39764383,0.40590143,0.41529822,0.42338887,0.43510762,0.4531912,0.47161368,0.47673085,0.45847252,0.4176418,0.3663509,0.32049704,0.29362607,0.292635,0.31514204,0.35010004,0.3826706,0.40271556,0.4087657,0.40627646,0.4012843,0.3971356,0.39418554,0.3924841,0.39221013,0.3937719,0.39644527,0.39918873,0.40062407,0.4002677,0.39787135,0.39538065,0.39693996,0.41068983,0.44445333,0.5019118,0.57529444,0.6449558,0.68508106,0.677597,0.625048,0.55003965,0.48204204,0.43897066,0.42180893,0.42052272,0.42478633,0.4287971,0.4306685,0.4307822,0.43020454,0.43008134,0.4305016,0.431216,0.43227324,0.43478572,0.43931493,0.4450983,0.4497302,0.45156506,0.45057365,0.4488827,0.44832966,0.45067355,0.45436382,0.4555919,0.4457877,0.41948286,0.3765563,0.32638142,0.27926347,0.2423565,0.21652943,0.20097108,0.19513564,0.19860338,0.20885085,0.22155903,0.23283249,0.24079622,0.24525209,0.24608684,0.2438917,0.24038428,0.23972706,0.24830182,0.2755839,0.33183917,0.4207542,0.53090245,0.63433844,0.7004021,0.7155363,0.69438124,0.6694681,0.6651308,0.67813444,0.6798992,0.6414253,0.5563938,0.44674453,0.34503403,0.2740442,0.23611401,0.22122945,0.21960877,0.23197643,0.26839146,0.33740747,0.43430734,0.5347736,0.60765386,0.63072556,0.60541135,0.5515973,0.49624482,0.45798814,0.44210687,0.4428613,0.45215693,0.46555066,0.48248386,0.5032732,0.5250029,0.542937,0.5507088,0.5443306,0.52006584,0.47583792,0.41263703,0.33993122,0.2771071,0.24435793,0.25116873,0.28813186,0.33506688,0.37362432,0.39742124,0.40964893,0.4156232,0.41773054,0.41679034,0.41490865,0.41552517,0.42029718,0.4275229,0.4332715,0.43473813,0.43101868,0.42283094,0.41216752,0.4064401,0.41987047,0.46558332,0.54144543,0.6207192,0.6668561,0.65442896,0.5901721,0.50321347,0.42939115,0.38733235,0.37724924,0.38444725,0.39448008,0.3985344,0.39730775,0.39502573,0.3954847,0.39773247,0.39850998,0.39526927,0.38904417,0.3831309,0.3801552,0.38037685,0.38198903,0.38372657,0.38481224,0.3862393,0.3892292,0.3976526,0.41228318,0.42947388,0.43605545,0.4210483,0.381222,0.3290418,0.2811162,0.25099084,0.24026728,0.24303377,0.24992724,0.25478423,0.25584158,0.2557323,0.25748384,0.262162,0.26762187,0.27106592,0.2710044,0.26786444,0.26409915,0.2656468,0.28420284,0.33343402,0.41903964,0.52794653,0.63008124,0.6936644,0.70659083,0.68420076,0.65864956,0.65325505,0.6649156,0.6669963,0.6323961,0.5568528,0.46190634,0.37864175,0.3256091,0.30240083,0.2971963,0.3012432,0.31463525,0.34642372,0.4039857,0.4867371,0.5767347,0.64806557,0.6739308,0.6457493,0.57274723,0.48260137,0.40244988,0.3511323,0.32962394,0.33030024,0.3423437,0.36041877,0.383356,0.4101328,0.43477312,0.44431734,0.4284763,0.3858745,0.32985196,0.27863845,0.24936455,0.24899621,0.27471802,0.3140423,0.35198137,0.37757668,0.3890362,0.39129677,0.39092493,0.39103368,0.39131054,0.38975617,0.38573155,0.38059,0.37708393,0.37712625,0.38043776,0.38488424,0.38800803,0.38878933,0.3887695,0.39404234,0.41409555,0.45693615,0.51970726,0.5845279,0.6251605,0.6227974,0.5802643,0.52026993,0.47067782,0.44613895,0.44380072,0.45084348,0.45669153,0.45786223,0.45702317,0.45795164,0.46272644,0.4698386,0.47659245,0.4809769,0.483529,0.48561692,0.4875636,0.48812327,0.48611653,0.48246095,0.47945973,0.47920954,0.48190847,0.48694214,0.49140835,0.49020448,0.4748205,0.44088587,0.39134085,0.33875224,0.29490343,0.2655144,0.24709934,0.2345864,0.2250617,0.21913262,0.21710092,0.2174834,0.21819246,0.21805163,0.21784268,0.21841352,0.22081538,0.22503597,0.23206277,0.2447385,0.2703682,0.31926528,0.39775655,0.49953356,0.6004898,0.6705549,0.6915497,0.6736023,0.6469931,0.6389883,0.6506846,0.6569055,0.62834954,0.555135,0.45502093,0.35780013,0.2865404,0.24549101,0.22672133,0.2211327,0.22883679,0.25985262,0.32539403,0.42560944,0.5398345,0.6345666,0.6789858,0.664077,0.6043446,0.5304931,0.47120532,0.44177234,0.4393057,0.45091292,0.46445027,0.47462562,0.48337877,0.49175468,0.49905062,0.4987872,0.4885662,0.46879366,0.4475102,0.430197,0.4207382,0.4171208,0.41808662,0.42133892,0.4267583,0.43251252,0.43786463,0.44113645,0.44323793,0.44498456,0.4480269,0.45160028,0.45481935,0.45634982,0.4567772,0.4564382,0.4561628,0.45561096,0.45536527,0.45615408,0.46174082,0.47822535,0.51360184,0.5696437,0.6371986,0.6936588,0.7145734,0.68531245,0.6133595,0.52360517,0.44640538,0.40008226,0.38533723,0.3902587,0.40125132,0.41044882,0.41619968,0.420393,0.4238502,0.42540863,0.42254844,0.41543818,0.4065683,0.39977446,0.3964258,0.39620718,0.39743802,0.39886793,0.39930293,0.39878216,0.39919814,0.40450406,0.4157156,0.42822066,0.43037248,0.41356954,0.37664163,0.32981768,0.2852327,0.2534875,0.23866256,0.2405233,0.2536221,0.2689933,0.27777386,0.27571443,0.26655936,0.25795612,0.2566853,0.2626473,0.27107653,0.2757651,0.27515504,0.27439246,0.28564593,0.32454655,0.39906278,0.50164336,0.60396916,0.67444724,0.69383615,0.6732231,0.6420353,0.6297481,0.64004326,0.65099937,0.6322064,0.57162714,0.48467633,0.40139985,0.34454426,0.31782866,0.31137237,0.31463695,0.3252798,0.35122243,0.40305933,0.48382178,0.57839656,0.6567661,0.68850774,0.6607388,0.5861301,0.4942478,0.41596416,0.3677027,0.34904647,0.348551,0.35545447,0.36534584,0.38095263,0.40369204,0.4290966,0.4434116,0.43502405,0.39998877,0.3490952,0.29874405,0.26636574,0.2604034,0.27988663,0.31373546,0.34847927,0.3738457,0.38748407,0.39256072,0.39422536,0.39561427,0.39686188,0.39668643,0.3940216,0.39010194,0.3867943,0.3861382,0.3879206,0.39051557,0.39054158,0.38562354,0.37742463,0.37543166,0.39414153,0.4423864,0.51185936,0.5770712,0.6106989,0.6014889,0.5600991,0.509863,0.4709914,0.45177367,0.4480503,0.45129406,0.45525685,0.4590807,0.46432498,0.4710376,0.47690514,0.47946152,0.47880933,0.47714332,0.4761612,0.47587538,0.47540984,0.47509822,0.47559473,0.47696987,0.47760633,0.47708562,0.4770241,0.48112464,0.48903108,0.4943157,0.4855068,0.4561163,0.40938082,0.35747528,0.31196046,0.2779537,0.25396648,0.23639096,0.22350363,0.21518393,0.21250539,0.21533082,0.222975,0.2324369,0.24058056,0.24435599,0.2444622,0.24334322,0.24457282,0.25137445,0.27051225,0.31402996,0.39095154,0.4962399,0.6021469,0.6753203,0.6960011,0.6778485,0.65337676,0.65235204,0.67446464,0.6931166,0.67394143,0.60295755,0.4948083,0.38180116,0.29286754,0.23933457,0.21646887,0.21302308,0.22276407,0.2497611,0.30474505,0.39487863,0.51071125,0.624301,0.69907707,0.71014744,0.6597387,0.57673573,0.49996606,0.45508587,0.44578242,0.45846713,0.4780998,0.49516305,0.50910974,0.5210338,0.53148955,0.5367624,0.53355455,0.5189743,0.48986557,0.44318083,0.38144526,0.32017884,0.28059578,0.2769352,0.30360737,0.34237173,0.37527528,0.3966464,0.41076887,0.42467895,0.44139957,0.460127,0.478516,0.4951965,0.5089318,0.51901394,0.5251297,0.5281961,0.52681255,0.5145999,0.4812343,0.42197037,0.34579453,0.27439025,0.228049,0.21370679,0.22276492,0.24235344,0.26325396,0.28293967,0.30071548,0.31634375,0.33004895,0.34330428,0.35815272,0.3741093,0.38829055,0.39549485,0.39241004,0.3790938,0.35964903,0.33896267,0.320039,0.3034837,0.28938958,0.279256,0.27476248,0.27618563,0.280789,0.2850862,0.28649032,0.2852136,0.28289822,0.2811643,0.28005758,0.27846357,0.2749811,0.26921847,0.2617416,0.25421044,0.24804139,0.24383219,0.24068399,0.23737715,0.23352599,0.22994924,0.22762012,0.22687076,0.22703105,0.22743799,0.2271951,0.22618861,0.2239107,0.22020243,0.21413283,0.20602393,0.1973312,0.19108473,0.18899399,0.19071509,0.19365162,0.19562912,0.19560802,0.19429559,0.19254722,0.19137251,0.19119962,0.19229193,0.19404872,0.19515486,0.19392459,0.18935837,0.18173932,0.17244087,0.16295695,0.1542127,0.14637594,0.13982035,0.13581555,0.13646317,0.14298545,0.15379155,0.16448219,0.17014225,0.16863579,0.16139202,0.15171342,0.14215992,0.13353129,0.12579018,0.11882699,0.113035016,0.10851402,0.105317116,0.10300284,0.1011199,0.09889669,0.09584492,0.09207497,0.08826113,0.085009694,0.082041346,0.07869475,0.07453695,0.07011997,0.06633699,0.063983954,0.063330255,0.06463746,0.06817157,0.074100144,0.081679344,0.08925766,0.09464228,0.09638238,0.09428922,0.08953664,0.08361628,0.07779134,0.07253206,0.06793409,0.06373554,0.05981232,0.056127433,0.052999455,0.050815847,0.049898133,0.050276965,0.051820274,0.05431005,0.057379577,0.060413595,0.06274428,0.064038746,0.064584695,0.06497715,0.06567532,0.06643808,0.06651097,0.06499542,0.061574634,0.056490835,0.050334517,0.043575227,0.036666602,0.030127354,0.024589682,0.020500815,0.017924234,0.016561523,0.015960278,0.015782269,0.015960768,0.016828403,0.019110726,0.02350022,0.030046776,0.03766145,0.04463209,0.049456477,0.051532596,0.050893143,0.047792774,0.042525303,0.035701547,0.028380143,0.021841617,0.017038582,0.01421931,0.012928224,0.012433372,0.01212278,0.01171364,0.011156925,0.010544714,0.009991364,0.00959956,0.00938556,0.009297083,0.00924755,0.009182375,0.009080528,0.008941869,0.008770817,0.008588392,0.008421085,0.008280329,0.008145431,0.007982694,0.0077806027,0.0075553413,0.0073369443,0.00713387,0.006937266,0.006730661,0.006512379,0.0062839687,0.0060398057,0.005765771,0.0054541114,0.005113365,0.004758524,0.004405416,0.0040631318,0.0037400888,0.0034379952,0.003155411,0.0028848797,0.0026193445,0.0023539749,0.0020905174,0.0018345044,0.0015905835,0.0013591242,0.0011384486,0.0009291463,0.00073551136,0.0005649283,0.00042395864,0.00031567292,0.00023668387,0.00017952669,0.00013609919,0.00010151032,7.385879E-05,5.257884E-05,3.6646292E-05,2.4730472E-05,1.5817883E-05,9.861688E-06,7.322901E-06]