[0.0016230023,0.004540986,0.013911792,0.032559637,0.060225572,0.091162086,0.11648563,0.12946805,0.12936349,0.12080365,0.11003375,0.10224635,0.10015073,0.103876494,0.11067265,0.11650652,0.11840754,0.116265185,0.11221217,0.10863572,0.10675696,0.106190026,0.105318226,0.1019949,0.09470803,0.083664395,0.07068379,0.058667567,0.05069034,0.050188344,0.059051886,0.076267324,0.096110314,0.1119574,0.119517155,0.11992658,0.11675707,0.1136369,0.11246514,0.11430814,0.11963016,0.12815844,0.13960426,0.15463638,0.17432094,0.19778977,0.22081745,0.23859586,0.24893701,0.25375816,0.25616714,0.25891322,0.26389268,0.2719523,0.28168768,0.28829908,0.28828514,0.28138965,0.27289057,0.26662514,0.2643187,0.26329193,0.26166293,0.25823697,0.25376582,0.24926329,0.24593212,0.24516387,0.24780095,0.25398514,0.26205018,0.26969644,0.27451408,0.27595028,0.27501783,0.27376786,0.27307582,0.27262196,0.27172694,0.2713771,0.2731214,0.2773858,0.28135586,0.28109553,0.27421317,0.26246184,0.25029546,0.24185295,0.2384953,0.23818444,0.2377588,0.23429345,0.2280277,0.22148079,0.21881275,0.22134657,0.22655655,0.22857992,0.22280397,0.20926018,0.19309263,0.18093549,0.17572421,0.1747422,0.17219102,0.16432674,0.1517074,0.13772954,0.12589361,0.118789084,0.118468024,0.12579241,0.1395476,0.15585603,0.17022222,0.17975235,0.18495388,0.18842961,0.1921814,0.19548918,0.19591211,0.19197778,0.18467183,0.17600614,0.16710065,0.15722533,0.14633149,0.1366706,0.1344918,0.14458884,0.16723621,0.19419725,0.21644069,0.22779238,0.22989,0.22643012,0.22171187,0.21799709,0.2172169,0.21978825,0.22452338,0.22938722,0.23400104,0.24010259,0.24982877,0.26312152,0.2784848,0.2950423,0.31328574,0.33273235,0.34950328,0.35808226,0.3548688,0.34124932,0.32184583,0.30162486,0.28341633,0.2681868,0.2560145,0.24698158,0.24142472,0.23985666,0.24232052,0.24743365,0.2523404,0.25418627,0.25216508,0.2479384,0.24417299,0.24251896,0.24274217,0.24327068,0.24275088,0.2416058,0.24174015,0.24446754,0.24807237,0.2489872,0.24470937,0.2362544,0.22637147,0.21722019,0.20910023,0.20172088,0.19464476,0.18749899,0.1800983,0.1733678,0.16915917,0.16920221,0.17453025,0.18657869,0.20686646,0.23529996,0.2671771,0.29507744,0.31226757,0.31692636,0.3118694,0.3029829,0.29645395,0.29637215,0.30318952,0.31407496,0.3258059,0.33672294,0.34690666,0.35566708,0.3612382,0.3618398,0.35875806,0.3554523,0.35513332,0.35730615,0.35828674,0.3539801,0.34198037,0.32345974,0.30171072,0.28245613,0.26905796,0.26189947,0.25670192,0.24979861,0.23942108,0.22679996,0.2127868,0.19754696,0.18118052,0.16565885,0.1543809,0.15023018,0.1535985,0.16240667,0.17381547,0.18568045,0.19661486,0.20498268,0.20930178,0.2091683,0.2062592,0.20256256,0.19908158,0.195503,0.19207382,0.19025658,0.19099402,0.19311202,0.19303428,0.18831097,0.17905378,0.16845822,0.15985234,0.15609138,0.15892215,0.16887613,0.18350399,0.19703399,0.20299774,0.19829981,0.18517941,0.16913922,0.15531573,0.14637543,0.14224292,0.14096671,0.1391613,0.1341199,0.12535714,0.11555771,0.1079002,0.10378811,0.10171291,0.099242605,0.09479033,0.08845407,0.08145245,0.075925715,0.07569876,0.08693999,0.11646211,0.16715555,0.2325548,0.29732218,0.34301713,0.3604475,0.3529854,0.33533144,0.32016847,0.31422862,0.31612802,0.32194328,0.32612708,0.32184234,0.30624214,0.2832942,0.26591298,0.26358512,0.2757915,0.29013094,0.29587293,0.29109606,0.28112224,0.26824012,0.2503413,0.22852783,0.213138,0.21652018,0.23924814,0.26516965,0.27339932,0.25566882,0.22356726,0.19876897,0.19555078,0.21095926,0.22830804,0.23313539,0.22425677,0.2138636,0.21273851,0.22052552,0.22796328,0.23055156,0.23327911,0.24344082,0.25921285,0.2706744,0.26890156,0.25356048,0.22988756,0.20285688,0.17452474,0.14668342,0.12262329,0.10647732,0.10007956,0.10201725,0.10795549,0.113755256,0.11668169,0.11641651,0.11346587,0.10853485,0.10146954,0.09167103,0.078737,0.063595824,0.04852405,0.036123693,0.027868161,0.024038339,0.02451917,0.030232713,0.042566646,0.063481666,0.09423747,0.13632075,0.18825148,0.24481066,0.29644287,0.3361988,0.36293602,0.38066223,0.3909421,0.39091265,0.3759551,0.34650746,0.30881143,0.27351218,0.24912582,0.23937662,0.24033046,0.24587838,0.2510505,0.25521603,0.25779402,0.2570993,0.25154927,0.24407683,0.24151605,0.2493305,0.26599672,0.28309336,0.29139146,0.2865229,0.27112827,0.2520475,0.23802549,0.23569167,0.24691558,0.26597998,0.28332365,0.29103133,0.2884141,0.28034616,0.27315176,0.26972067,0.26933864,0.26866946,0.26447245,0.25404683,0.23715039,0.21535476,0.1924672,0.17161071,0.15519266,0.14426023,0.13973033,0.14124323,0.1462786,0.1508752,0.15173258,0.14851707,0.14274193,0.13591868,0.12738274,0.115338385,0.09868454,0.07890243,0.059276845,0.043088306,0.031863444,0.025775896,0.02475856,0.029506,0.039951753,0.054145966,0.067517556,0.07613123,0.07884812,0.079437226,0.08558313,0.1072093,0.1521316,0.21858104,0.2918291,0.3486608,0.37279642,0.36493865,0.34139892,0.3202747,0.31099668,0.31236756,0.31710073,0.31623697,0.3035603,0.2800176,0.25535002,0.24236757,0.24770899,0.26689944,0.28764108,0.29826748,0.29259098,0.27135724,0.24039042,0.2103294,0.1944304,0.20240422,0.23321266,0.27203348,0.3004501,0.30979356,0.3093976,0.3147172,0.3312243,0.34611997,0.3444196,0.32562616,0.3088208,0.3123975,0.33903614,0.37238312,0.39408258,0.3930404,0.36885032,0.3254803,0.27063414,0.21441062,0.16733617,0.13660072,0.124281876,0.13021247,0.15153715,0.18220402,0.21008681,0.22391103,0.22092414,0.21258868,0.2158401,0.23794095,0.26764423,0.28268754,0.2703232,0.23900568,0.2132213,0.21424194,0.24489446,0.28944954,0.32387093,0.33384037,0.3211691,0.30155358,0.28774512,0.2809606,0.27193666,0.25283036,0.2239327,0.19187821,0.16333695,0.14113149,0.12489986,0.11331607,0.10575443,0.10253522,0.10404357,0.11078268,0.123746336,0.14602627,0.17854773,0.21744661,0.25186995,0.2751818,0.28986967,0.30753747,0.33269668,0.35742533,0.3651301,0.3472625,0.30902588,0.26619384,0.2336333,0.21982934,0.22626074,0.24828692,0.2769759,0.30027163,0.31080672,0.30727372,0.29518166,0.27893648,0.26256278,0.24785496,0.23699255,0.2279107,0.21730608,0.20138423,0.18122101,0.15934545,0.14024608,0.12723638,0.12351489,0.12860571,0.13840298,0.14664422,0.14918803,0.14616887,0.14221592,0.14517955,0.163381,0.1976891,0.23719402,0.26266086,0.26388475,0.24865626,0.23664628,0.24069087,0.259157,0.2841505,0.31066787,0.33746958,0.36085105,0.3756462,0.37874463,0.3713957,0.3567412,0.33900544,0.32354283,0.3154436,0.31522664,0.31810558,0.31709585,0.30845892,0.29209468,0.26996988,0.24411787,0.21772176,0.19473384,0.1776052,0.16457318,0.15133245,0.13508472,0.117414474,0.10220028,0.09229773,0.087401874,0.0846861,0.08051675,0.072355606,0.060498346,0.04771422,0.037667483,0.03293174,0.035148397,0.045334637,0.062763736,0.08330855,0.10009154,0.10787436,0.10619137,0.099066235,0.090997435,0.0846981,0.08106195,0.08029614,0.08202806,0.08479893,0.08728925,0.08982641,0.09549397,0.108248375,0.13029934,0.16111791,0.19679548,0.23153363,0.25630066,0.2632393,0.24754716,0.21296959,0.1695439,0.13259523,0.116781294,0.1303056,0.16901572,0.21680683,0.25557944,0.2752018,0.27743122,0.26920858,0.25712916,0.24528255,0.23673171,0.23057151,0.22197658,0.20581532,0.18593438,0.17287004,0.17525935,0.19083375,0.21269538,0.23908229,0.27310285,0.31276906,0.34342584,0.34859928,0.3217739,0.27286974,0.21744688,0.16859215,0.13153774,0.10671908,0.09136378,0.08202562,0.07577032,0.0714889,0.0694553,0.07042357,0.074460246,0.080413125,0.08590594,0.088402875,0.086597174,0.081049465,0.0737829,0.06788092,0.06753047,0.07728758,0.09880916,0.12820642,0.1564761,0.17550527,0.18238753,0.18037355,0.17498471,0.17177565,0.17522211,0.18725143,0.20537175,0.22217935,0.2301236,0.22565097,0.21147235,0.19322114,0.17637952,0.16392393,0.15625818,0.15191598,0.14854817,0.14458013,0.13956513,0.13405515,0.12886342,0.12533112,0.12595403,0.13247241,0.14404553,0.1551872,0.1598316,0.15429209,0.14058691,0.12356601,0.108808525,0.09954405,0.09641227,0.09831363,0.10485049,0.11871648,0.14384705,0.18213932,0.229387,0.27801475,0.3201257,0.35142687,0.37011644,0.37667057,0.3738152,0.36648044,0.3608736,0.36100253,0.3674318,0.37620878,0.38139465,0.3784823,0.36701092,0.3510292,0.33427286,0.31835777,0.30162618,0.2838627,0.26623318,0.25072592,0.23698215,0.22362143,0.2099234,0.19737798,0.18821143,0.18423559,0.18574303,0.19207205,0.20109206,0.20958793,0.21353014,0.21031368,0.20007338,0.18563308,0.17016692,0.15580635,0.14367811,0.1350586,0.130856,0.1309371,0.13358712,0.13702732,0.13973056,0.14117974,0.14129412,0.14130516,0.14288384,0.14805178,0.15899134,0.17841901,0.20709299,0.239936,0.26721227,0.2818792,0.28763533,0.29461727,0.30991173,0.32991454,0.3468063,0.35476923,0.35365012,0.3453181,0.3337232,0.32362747,0.31825706,0.31483555,0.30686963,0.29036185,0.2687244,0.249878,0.24056642,0.24369834,0.2595993,0.2878499,0.32569972,0.3666359,0.40146783,0.42306697,0.42992663,0.42534646,0.4142309,0.40010455,0.38534617,0.3713754,0.35910937,0.3485608,0.33875296,0.32816854,0.31420913,0.29521215,0.2712216,0.24641132,0.22617352,0.21459009,0.21070723,0.20994143,0.20704229,0.2000224,0.19088407,0.1833018,0.17920865,0.17731987,0.17515711,0.1718034,0.16911376,0.16958182,0.17393892,0.18014014,0.18548726,0.18872671,0.19111359,0.19419919,0.19825955,0.2011248,0.20092951,0.19721825,0.1919864,0.1866457,0.18150644,0.17569129,0.1695286,0.16458613,0.16265905,0.16499333,0.17340064,0.19192927,0.22512358,0.2721019,0.32305238,0.36241317,0.38074175,0.37987384,0.37087813,0.36230636,0.3570827,0.3530694,0.34926975,0.3457152,0.3425875,0.33786356,0.32646397,0.30293253,0.2662737,0.22739454,0.20632531,0.22059686,0.26972505,0.33363605,0.38662243,0.41401246,0.41728544,0.40589252,0.38794196,0.36768404,0.34682986,0.3268613,0.3079574,0.29078016,0.27622,0.26683664,0.26465067,0.2710265,0.28468025,0.30227414,0.31813645,0.32705095,0.32554397,0.3140185,0.2961364,0.2778194,0.26392266,0.25568327,0.2507625,0.24629559,0.24220486,0.24020141,0.24047802,0.23916139,0.23161678,0.21766834,0.20476682,0.2033397,0.21899237,0.2466495,0.27399558,0.28984228,0.291759,0.28592363,0.2822512,0.2882936,0.30600572,0.3308711,0.35378966,0.36462274,0.35662678,0.3300798,0.29356244,0.25970134,0.23740251,0.22467895,0.21281962,0.19584906,0.18009518,0.17831926,0.19906342,0.23714764,0.27870145,0.31083632,0.32779613,0.32910705,0.31455895,0.2852185,0.24484245,0.2016821,0.16501004,0.14420383,0.1470197,0.17542686,0.22117303,0.26606122,0.29462895,0.30324757,0.30143845,0.2984928,0.29518494,0.28423265,0.2600356,0.22513705,0.18842465,0.15900217,0.14060889,0.13184604,0.12877549,0.1281181,0.12792744,0.12730245,0.1258059,0.12358423,0.121125005,0.11893594,0.116977535,0.11507112,0.1133762,0.11263368,0.114144444,0.11916951,0.12936163,0.14499627,0.16534133,0.18898194,0.2155372,0.24539298,0.27266613,0.28751585,0.27684125,0.24147959,0.1916733,0.14670064,0.11833105,0.11436371,0.13847245,0.19074409,0.26112205,0.32679883,0.3657931,0.36837482,0.34402323,0.3102372,0.2834021,0.27140316,0.27211967,0.27680376,0.2765286,0.2743185,0.28229883,0.31228113,0.36172795,0.41812253,0.47094893,0.51548904,0.5500966,0.5676203,0.56662947,0.551683,0.5361475,0.5272701,0.52849334,0.5387488,0.55697775,0.5759904,0.58455443,0.5745261,0.548752,0.51902324,0.49682236,0.48764277,0.48936307,0.49533334,0.49711514,0.4898424,0.4744188,0.45538166,0.43525824,0.41443804,0.3961108,0.3894554,0.40209082,0.43035766,0.45865405,0.47158098,0.46417037,0.441288,0.41039124,0.37846538,0.354045,0.34488335,0.35271215,0.3687165,0.38139597,0.38391045,0.38061056,0.38053656,0.3930274,0.41806665,0.4455086,0.4572098,0.4423107,0.40683946,0.37039158,0.34917715,0.34295547,0.3405474,0.3307998,0.3126972,0.28982043,0.26664844,0.24285954,0.2171598,0.19117032,0.17406476,0.18161233,0.22137503,0.28384888,0.33922383,0.36355746,0.3516102,0.3229563,0.29970255,0.2975978,0.3198446,0.36203596,0.4114823,0.45095357,0.46691298,0.45661226,0.4296175,0.402145,0.3908669,0.40674093,0.44530353,0.48702285,0.5034863,0.4813095,0.4277338,0.36815214,0.3238076,0.30483583,0.30927357,0.32997254,0.357118,0.37906113,0.3883566,0.38486692,0.3782029,0.3800077,0.39871073,0.43271527,0.47191462,0.50130206,0.5108391,0.50012803,0.47750375,0.4517257,0.42765117,0.40687773,0.39110315,0.38109794,0.37509215,0.3706803,0.37054482,0.38223353,0.41158703,0.45394048,0.4966202,0.52463514,0.5300401,0.51101345,0.47505286,0.43460813,0.4047511,0.39258552,0.39411005,0.39723423,0.39021972,0.3679248,0.33117756,0.28573158,0.23850615,0.19616596,0.16485484,0.1520461,0.16836388,0.2160794,0.28321803,0.34019002,0.3648453,0.35320923,0.3241621,0.29679438,0.28179732,0.27911234,0.28582275,0.29828346,0.3108724,0.31855735,0.3188671,0.31504726,0.31387404,0.32428518,0.35297585,0.3972741,0.4427686,0.46942464,0.47048172,0.4564934,0.44776067,0.4515948,0.46129024,0.46299505,0.4511399,0.42746222,0.39828634,0.37084827,0.35152748,0.34529158,0.35196242,0.37133646,0.40006718,0.43310404,0.45806766,0.4645835,0.44934782,0.41971147,0.3853815,0.35404587,0.33126953,0.3213155,0.32373914,0.3301101,0.3283124,0.3108662,0.27947357,0.24347384,0.21636212,0.21443717,0.24789222,0.31078634,0.3757553,0.4127717,0.41044667,0.38389233,0.3567436,0.34053862,0.3319147,0.32161152,0.30659616,0.2880912,0.27084294,0.2591908,0.25765225,0.26907215,0.294046,0.3332465,0.3820342,0.4297953,0.45828268,0.4599551,0.44290447,0.42841005,0.42814854,0.43810344,0.4453355,0.4431114,0.4342939,0.424311,0.4160899,0.40987778,0.4064312,0.4078594,0.41661093,0.4353474,0.46069428,0.4833887,0.48803416,0.4688579,0.43047583,0.38870594,0.35469303,0.33456746,0.3270875,0.3294156,0.33647975,0.3435162,0.34808457,0.3504686,0.35353246,0.3608837,0.37789512,0.40627566,0.44039395,0.4651127,0.46731356,0.44585088,0.41434857,0.38977095,0.38155523,0.38873908,0.4048468,0.42375624,0.44124672,0.45599428,0.46737608,0.47562197,0.47916982,0.47843027,0.47584203,0.4766266,0.48182353,0.4871355,0.4853908,0.47416815,0.45638156,0.43734446,0.41970155,0.40360093,0.3864592,0.36584902,0.3423716,0.32362106,0.3185726,0.32759717,0.33888164,0.34012806,0.33444366,0.33448443,0.34754106,0.3603951,0.3581529,0.33646646,0.3114532,0.29966244,0.31202653,0.3467923,0.3950212,0.44116452,0.4693257,0.47388506,0.46054447,0.44338408,0.43173242,0.43145144,0.4429499,0.46283054,0.4800955,0.48155892,0.46272835,0.43121016,0.40122077,0.38064706,0.37012598,0.36590174,0.3656474,0.36719584,0.36751392,0.36413577,0.35713744,0.35161433,0.35452178,0.3730793,0.40672472,0.44598663,0.4729214,0.47460377,0.44959578,0.4090563,0.36604583,0.33095708,0.31021985,0.30837855,0.3238531,0.34899414,0.37287715,0.3902937,0.40135372,0.40945458,0.41701016,0.42763522,0.44206643,0.4549069,0.4532764,0.43026066,0.3914621,0.35349795,0.32874858,0.32047102,0.324316,0.33402672,0.3422041,0.34174907,0.32998022,0.3113329,0.29444063,0.28774,0.29656515,0.32391068,0.3647536,0.40493372,0.42322755,0.40858617,0.3658372,0.31375784,0.2687252,0.24101049,0.23593046,0.25615537,0.29634175,0.3393134,0.36543807,0.36468002,0.3445349,0.32273677,0.31822014,0.34058514,0.38545206,0.43460497,0.46613753,0.4677117,0.44221425,0.402752,0.3622636,0.3286045,0.30287874,0.28158993,0.2587097,0.23046416,0.19762488,0.16458733,0.13782233,0.12570874,0.13990694,0.18557727,0.2529802,0.3141925,0.34404436,0.33622432,0.30762467,0.27918252,0.26263714,0.25828195,0.2632197,0.27487338,0.2902046,0.3043895,0.3131907,0.31489024,0.31309906,0.31478354,0.3294935,0.35687923,0.38574362,0.3930609,0.36865795,0.31874397,0.2680566,0.23540825,0.2304895,0.25020245,0.28646287,0.3246309,0.34755838,0.34397718,0.31496692,0.27381966,0.23809151,0.22515751,0.2463984,0.30016348,0.36795843,0.4215578,0.44209206,0.42860126,0.3956553,0.35876405,0.33083236,0.32048464,0.3327115,0.36277008,0.39666593,0.41785762,0.41796234,0.40106058,0.38115287,0.37610057,0.39637172,0.43796816,0.47965965,0.49980232,0.48943517,0.45958886,0.42681977,0.40219966,0.38543186,0.37071952,0.35204557,0.32663417,0.29556116,0.26210797,0.22924353,0.20100583,0.1846401,0.19319612,0.23135968,0.28879845,0.3361005,0.35238728,0.33525774,0.3053536,0.28052726,0.26833645,0.26373008,0.2598847,0.2516218,0.23676603,0.21908586,0.20647973,0.20664716,0.22038178,0.24324465,0.2741389,0.31224743,0.35531285,0.3887597,0.40352944,0.3949844,0.37197292,0.3382329,0.3012112,0.26905635,0.25523865,0.2639953,0.2868899,0.3085583,0.31856585,0.31798816,0.31555665,0.3225386,0.34427568,0.37477803,0.39773026,0.39853886,0.37882915,0.35624385,0.35033563,0.3657479,0.39199364,0.413054,0.4190397,0.4085977,0.3892585,0.37319687,0.37119856,0.38522366,0.40849426,0.43445668,0.46066606,0.48564944,0.4997286,0.49122742,0.45707837,0.40994167,0.36782947,0.3421112,0.33317757,0.33682272,0.34800923,0.3621162,0.37241793,0.37507555,0.36969766,0.3620719,0.35800514,0.364825,0.38451445,0.41350213,0.43628964,0.43737724,0.40997875,0.36606312,0.32610312,0.3070725,0.31155398,0.32892057,0.3425541,0.34014192,0.3207815,0.29570672,0.27840292,0.275926,0.28566787,0.3061587,0.33863702,0.38362214,0.42872036,0.45720765,0.45873967,0.4396547,0.41269043,0.3883929,0.3701345,0.35720393,0.34578335,0.33062792,0.30821383,0.27981916,0.24952944,0.22310217,0.20747526,0.21396966,0.24760003,0.29962704,0.3434527,0.3571078,0.3371744,0.3022863,0.2728214,0.25883245,0.25877872,0.26698312,0.27859977,0.28968164,0.29875955,0.30659953,0.3142805,0.32228065,0.331291,0.34803963,0.3774146,0.4170476,0.4491968,0.45856526,0.4419503,0.41478863,0.39293757,0.3840598,0.38459924,0.38904476,0.39273134,0.39111745,0.3778026,0.34790766,0.30320165,0.25627384,0.226198,0.2314037,0.2747101,0.34003222,0.39523754,0.41559663,0.3965404,0.35726866,0.3221214,0.30623564,0.30966687,0.32311922,0.33667418,0.342924,0.33804098,0.3194926,0.28886455,0.2558646,0.23804496,0.25264832,0.30013588,0.361299,0.40519342,0.4137361,0.38890088,0.3495467,0.31270644,0.28721467,0.27309787,0.26648453,0.26150715,0.2520116,0.23530103,0.2134205,0.19154239,0.17624766,0.17510338,0.19821016,0.24761868,0.31148258,0.36157557,0.37665543,0.3548727,0.31692603,0.28499308,0.2719903,0.27946997,0.3017337,0.32908916,0.34917414,0.35769525,0.35833618,0.35998347,0.3657608,0.37600088,0.39348075,0.42057848,0.45299792,0.47349253,0.4696833,0.44173303,0.40689003,0.37985,0.36557278,0.35845456,0.35217866,0.34441674,0.33488968,0.32398748,0.31012055,0.2915462,0.26961583,0.25321847,0.25918093,0.29633927,0.35599983,0.40856993,0.4304694,0.4159722,0.3820982,0.346946,0.3226966,0.31323478,0.3204366,0.34360513,0.37630188,0.40874192,0.43135095,0.44101444,0.44079125,0.43872333,0.44415125,0.45991698,0.48032725,0.49082735,0.48358104,0.4604919,0.4340868,0.41222855,0.3959702,0.38019618,0.36062327,0.3357414,0.30735496,0.28174603,0.2657592,0.26179093,0.2655674,0.27341095,0.2906575,0.3247105,0.37403914,0.41884652,0.43865266,0.4246622,0.389503,0.3519875,0.3282813,0.32201967,0.32748017,0.33331028,0.33190855,0.3242612,0.31885907,0.32292008,0.33818448,0.36128306,0.3915234,0.42470548,0.45207772,0.45489314,0.42569056,0.37144122,0.31638813,0.27785718,0.26214382,0.26225737,0.26856673,0.2709452,0.26294073,0.24590665,0.2303617,0.22861813,0.246453,0.27926978,0.32173482,0.36732653,0.41104785,0.44001773,0.44697902,0.4306396,0.40245676,0.37149927,0.34386292,0.31936064,0.29682902,0.27296337,0.2446549,0.21284203,0.184617,0.16989319,0.17629172,0.20674463,0.26095954,0.3287867,0.39100662,0.4216303,0.41234335,0.3749099,0.33778533,0.3181274,0.317739,0.3242357,0.3252749,0.31259334,0.28449515,0.24594975,0.20544441,0.17191611,0.15263645,0.15599646,0.18938535,0.24916331,0.31498244,0.35742345,0.36237916,0.3399538,0.3168937,0.3118607,0.32814172,0.35691822,0.38922134,0.41805577,0.4375589,0.44245183,0.43003663,0.40416062,0.3755364,0.35989246,0.36917934,0.40098962,0.43667224,0.45100617,0.43307745,0.3906463,0.3439586,0.30635417,0.2813195,0.26386836,0.24840587,0.22954036,0.20455348,0.17557119,0.1489275,0.13223349,0.1314839,0.15259463,0.19855078,0.26173973,0.3207728,0.350829,0.34374264,0.31236902,0.28037933,0.2628307,0.26320264,0.27588934,0.29388162,0.3091922,0.31695935,0.31657735,0.3116493,0.30612373,0.30313993,0.30800736,0.326367,0.35845283,0.39207992,0.40991434,0.40287152,0.37837133,0.35268295,0.33768368,0.33465943,0.33776078,0.3387339,0.33080095,0.30977824,0.27808493,0.24218957,0.2116036,0.19423252,0.19931103,0.23142469,0.28541362,0.34045684,0.37328196,0.37370756,0.3522981,0.32829097,0.31438085,0.3117177,0.31516984,0.3203549,0.325008,0.3276882,0.32694522,0.3212944,0.31276783,0.30791637,0.31822726,0.34833583,0.38854226,0.41403937,0.4055505,0.36463213,0.31400636,0.27768335,0.26493835,0.2699616,0.2808734,0.2885121,0.287495,0.27666128,0.2574155,0.23270614,0.2070142,0.18817489,0.18913698,0.21880066,0.27206713,0.3250701,0.35272384,0.34633014,0.3195528,0.29243532,0.2756946,0.26730976,0.2598169,0.24778716,0.23028831,0.21160437,0.20071208,0.20506835,0.22657083,0.25917777,0.29956475,0.34585634,0.39614126,0.4372349,0.45585322,0.44768333,0.424232,0.40098324,0.386537,0.38196686,0.3811469,0.37747905,0.3625716,0.33770263,0.31054434,0.29250097,0.28665358,0.29031053,0.30287263,0.32535756,0.3566011,0.38451365,0.4017683,0.40954494,0.4207888,0.4400252,0.46279022,0.4793525,0.48665345,0.4866667,0.4811089,0.47171712,0.4609668,0.45395878,0.45320892,0.4596597,0.47387266,0.49436083,0.51549846,0.5264704,0.5227042,0.5081404,0.49429008,0.48714855,0.48567912,0.48366776,0.47792602,0.46863163,0.45781377,0.4456998,0.4307617,0.41134587,0.38856122,0.3692731,0.36468053,0.38260928,0.4184489,0.45467398,0.47413406,0.47069284,0.4508929,0.423413,0.39540842,0.37284282,0.36208412,0.36512092,0.3762975,0.38590387,0.38753545,0.3829,0.37989676,0.38749585,0.40818584,0.43366036,0.44808045,0.44056916,0.4159002,0.39065722,0.3794391,0.3829374,0.39131033,0.39205858,0.378709,0.35078248,0.31400785,0.275147,0.23982643,0.21137397,0.19561897,0.2035167,0.24169,0.30250248,0.35917047,0.38698116,0.37848398,0.35053706,0.32555857,0.31935918,0.33510718,0.36709258,0.4036332,0.42975488,0.43538025,0.41917682,0.39060345,0.3631824,0.35106325,0.3637941,0.40005124,0.4456235,0.47698244,0.47964278,0.45446774,0.41823626,0.38664436,0.36918786,0.36691153,0.377427,0.39469108,0.4096006,0.41436365,0.4071033,0.3932961,0.38134548,0.37915197,0.39228836,0.42049822,0.45523474,0.48076436,0.48627165,0.47206584,0.44862044,0.4245679,0.40325096,0.38472572,0.36964193,0.35790348,0.34743667,0.33849743,0.33643416,0.34899685,0.3782417,0.41856322,0.45970717,0.49134552,0.50409985,0.49345145,0.46385527,0.42881763,0.40129116,0.38617265,0.37980807,0.37743244,0.37492144,0.36837736,0.35212746,0.32306063,0.28277412,0.23969792,0.2071807,0.20148326,0.23068781,0.28631976,0.3417232,0.37176368,0.36896023,0.3471066,0.32448837,0.31107175,0.30792272,0.31303695,0.32438108,0.33684707,0.3442141,0.3424841,0.3340957,0.3270456,0.33199242,0.3578042,0.4019495,0.44892225,0.47489786,0.47000146,0.4432555,0.41833735,0.40924466,0.41543567,0.42404917,0.4239029,0.40984783,0.3849834,0.35905495,0.34305188,0.34279704,0.35546908,0.37506166,0.39845228,0.42343405,0.44520357,0.4531517,0.44144464,0.41081402,0.37222517,0.33724853,0.31780735,0.31912112,0.33918568,0.36551592,0.3830911,0.3815513,0.36122403,0.32955503,0.29853666,0.282468,0.29356983,0.33137193,0.3765454,0.40226874,0.39591917,0.36932018,0.34521067,0.33600795,0.33667457,0.33522427,0.3246345,0.30640075,0.28700235,0.27585897,0.28019333,0.302717,0.33748078,0.37837756,0.4174384,0.44876504,0.4614071,0.452912,0.43096176,0.41461635,0.4152592,0.43142673,0.4512169,0.46538934,0.47036412,0.46812463,0.46175504,0.4554906,0.45001093,0.44460735,0.43828192,0.4378054,0.44889268,0.47128665,0.48997474,0.49233603,0.4749662,0.44968006,0.42757902,0.41272506,0.40070722,0.38529387,0.36429366,0.33888116,0.3148736,0.2981267,0.29512456,0.309005,0.3407637,0.38672003,0.43795562,0.48095068,0.5026249,0.49961987,0.47910663,0.45584023,0.4409164,0.4401826,0.45159104,0.4689306,0.4825612,0.4859185,0.47957435,0.470584,0.4673516,0.4741191,0.49179086,0.5158022,0.5375567,0.54446197,0.5302209,0.4983361,0.4615685,0.43022916,0.40790966,0.3919029,0.3796593,0.36990497,0.36323878,0.36117718,0.36650026,0.37609383,0.38221171,0.3757148,0.3641865,0.36055228,0.37411216,0.3888406,0.3873566,0.36257407,0.33199003,0.3156824,0.3267267,0.365144,0.42052707,0.4764265,0.5125971,0.5204528,0.50324935,0.47613642,0.4510726,0.4372064,0.4397588,0.4595554,0.48805633,0.5071556,0.5042687,0.48015854,0.45162234,0.43427494,0.43520582,0.44812226,0.46175942,0.46604308,0.4580493,0.4432838,0.4303957,0.42583892,0.43004274,0.44157147,0.45949912,0.48147026,0.5004602,0.5061521,0.49312738,0.46347198,0.42507634,0.38715693,0.3599428,0.35337916,0.37078586,0.4045615,0.4373412,0.45419225,0.45019892,0.43495372,0.42348826,0.42946395,0.45340255,0.48311436,0.49789003,0.48493397,0.44750223,0.40253878,0.36697507,0.3483833,0.34698796,0.35939208,0.38091087,0.4025464,0.41546178,0.41569307,0.4078889,0.40140674,0.40488586,0.42348155,0.45471117,0.48871723,0.50874394,0.5027386,0.4690528,0.41891804,0.36802903,0.33105433,0.3176813,0.32879624,0.35527733,0.379951,0.3894948,0.38055447,0.36089656,0.34220243,0.33624527,0.35291898,0.39243028,0.44303834,0.48151565,0.49358344,0.47889408,0.452175,0.42461517,0.40154484,0.38087714,0.360468,0.33772945,0.3117633,0.2840363,0.25832728,0.23941618,0.23241393,0.24458873,0.27981517,0.33128583,0.37762037,0.39676425,0.38221002,0.34779087,0.31439987,0.29483107,0.29087552,0.29811856,0.31136808,0.3245633,0.33235267,0.33194152,0.32437024,0.31425035,0.30820027,0.31515476,0.3372507,0.36614344,0.38081792,0.36779138,0.32991484,0.28795448,0.26049122,0.25591153,0.27303717,0.3075955,0.35192028,0.39134634,0.41003367,0.39951956,0.36565852,0.32531214,0.29953042,0.30651018,0.3497109,0.41431883,0.46962747,0.4927908,0.47864878,0.44220862,0.400305,0.36685792,0.35002112,0.3544723,0.376707,0.40418765,0.42198476,0.42083278,0.4022901,0.3769079,0.36102727,0.368789,0.4010165,0.44132861,0.46460128,0.45767498,0.42597485,0.3879095,0.35754803,0.340348,0.33366457,0.3319026,0.32718828,0.3129956,0.28770733,0.25600165,0.22660102,0.20981474,0.21712749,0.2536782,0.3110705,0.36359647,0.38633308,0.37153494,0.33562914,0.30172065,0.28402796,0.28209516,0.28778422,0.29254907,0.29065585,0.2817783,0.27048004,0.26290527,0.26292112,0.27132958,0.2915158,0.32335675,0.3611909,0.38720548,0.39144155,0.37472284,0.35174307,0.3289193,0.30696583,0.2842861,0.26781264,0.26437643,0.27318868,0.2855039,0.2930039,0.2946388,0.29640242,0.3072596,0.33425948,0.37353933,0.41036272,0.42427722,0.40913892,0.37573168,0.3463019,0.33571494,0.34864578,0.38154712,0.4266294,0.47200403,0.5053267,0.5220038,0.525589,0.5224979,0.5155028,0.5084557,0.5066029,0.51280004,0.5190022,0.51305807,0.49046752,0.45983014,0.43415102,0.4203856,0.41839054,0.42455748,0.433808,0.4398338,0.43760324,0.42638168,0.40751505,0.3810831,0.3489416,0.3218775,0.317728,0.34626976,0.39502645,0.43588388,0.44531867,0.42132422,0.37988302,0.3419553,0.32089558,0.3170837,0.32075986,0.32035723,0.3142592,0.3098242,0.3137898,0.32221594,0.32802343,0.3333837,0.35053468,0.38595834,0.42898095,0.45897982,0.46405205,0.44753918,0.4220113,0.39619383,0.3728313,0.34863654,0.31921446,0.28125456,0.23643182,0.1911817,0.1524812,0.12562272,0.11503681,0.129155,0.17267787,0.23767765,0.29760167,0.3259827,0.31451133,0.28002244,0.24647455,0.22851694,0.22711535,0.23829341,0.25940582,0.28943682,0.32506755,0.3600674,0.3849477,0.393327,0.3868792,0.38047242,0.39143798,0.42513728,0.46569514,0.48830095,0.4789503,0.44307792,0.39792827,0.35802868,0.330629,0.31524944,0.3074963,0.3002565,0.2885704,0.27173743,0.2525644,0.23530489,0.22635317,0.23680663,0.27429911,0.33293167,0.38743222,0.41145924,0.3960378,0.3577949,0.3221055,0.3048898,0.30509335,0.31009138,0.30784988,0.29291973,0.27031502,0.24749547,0.22870041,0.21306838,0.20399173,0.2146737,0.25560784,0.3197656,0.37720522,0.4013157,0.38611516,0.35084188,0.31649956,0.2940164,0.28100833,0.2707036,0.25554678,0.2308446,0.19684666,0.16003275,0.12856181,0.109736025,0.109577425,0.13644242,0.19309242,0.26842463,0.33483568,0.36818478,0.36544275,0.34518397,0.32712036,0.31757936,0.31446782,0.31866693,0.3347386,0.36192456,0.39055523,0.4111391,0.4205861,0.42384017,0.4261541,0.43453372,0.45130202,0.4739267,0.48866126,0.48459613,0.46032894,0.4283062,0.40020907,0.37992156,0.36348024,0.345746,0.32339513,0.29446015,0.2596729,0.2233897,0.19170196,0.1706497,0.16561536,0.1855324,0.23505028,0.3083539,0.3818313,0.4317489,0.445931,0.4327594,0.40673622,0.38259932,0.36959592,0.37300274,0.38862965,0.40398487,0.40712634,0.39740732,0.38615718,0.3863931,0.40395853,0.43647584,0.47414395,0.5030045,0.5056464,0.47472,0.41798773,0.3604132,0.32501802,0.3213369,0.33984116,0.36564577,0.38840196,0.40683088,0.42109248,0.4303238,0.43228176,0.4295663,0.42743123,0.4334775,0.44899046,0.46892467,0.47926965,0.46936586,0.4375116,0.3948326,0.35453352,0.32450655,0.30613068,0.297524,0.29693568,0.30043682,0.30488786,0.30922163,0.3166671,0.3308445,0.3528404,0.38213888,0.41513073,0.4458704,0.46287787,0.45929435,0.43632427,0.4066523,0.381385,0.36483917,0.35153446,0.33425,0.30758533,0.2713932,0.22963224,0.19031854,0.16211967,0.15283322,0.16693841,0.20789152,0.27314803,0.3521055,0.42185047,0.4616469,0.46327582,0.4387423,0.40651155,0.3811588,0.36757722,0.36410728,0.363795,0.35504925,0.32964987,0.2909597,0.25560755,0.24144433,0.25606403,0.2959112,0.34882835,0.3998066,0.43052045,0.432917,0.41193488,0.38526323,0.36493257,0.35261002,0.34149894,0.32604286,0.30369222,0.2741314,0.2391314,0.20311333,0.17156266,0.15034811,0.14598383,0.1679675,0.21837564,0.28551385,0.34076086,0.36205566,0.34674552,0.31508818,0.28855476,0.2789264,0.28772518,0.3126694,0.34993955,0.3898519,0.42234805,0.43956757,0.44208393,0.4330571,0.41999027,0.4129864,0.42217004,0.4478614,0.47498357,0.48497328,0.46847168,0.43394473,0.39488032,0.3614219,0.33476827,0.31349266,0.2963449,0.28364792,0.27585223,0.272864,0.27375174,0.27667084,0.27906328,0.2786812,0.27436504,0.2669744,0.25832462,0.2505838,0.24450207,0.2403291,0.23756623,0.23755752,0.2429287,0.25938568,0.2902101,0.33320424,0.37527004,0.40006426,0.39677548,0.3688167,0.3290189,0.29046467,0.261124,0.24569331,0.24979079,0.2756851,0.31847203,0.3637415,0.39833868,0.41532567,0.41771027,0.4093866,0.3943595,0.37463355,0.3551345,0.34053454,0.33435115,0.33600506,0.34359312,0.35453817,0.36707616,0.37904438,0.38892993,0.3956374,0.39930424,0.3998669,0.39709017,0.38978556,0.3771946,0.35928044,0.33778355,0.3152767,0.2945244,0.27784693,0.26655957,0.26088646,0.25895473,0.2592462,0.26206827,0.2707395,0.2870215,0.30801976,0.32623306,0.3352745,0.33388004,0.3259722,0.3164196,0.30813423,0.3014141,0.29586977,0.2913433,0.287805,0.28424346,0.2789633,0.2710702,0.26188758,0.2543115,0.2506341,0.25086144,0.25298157,0.25453398,0.25367284,0.24948402,0.24166875,0.23104054,0.21931016,0.2090164,0.20181684,0.19811754,0.19647384,0.1961111,0.19780296,0.20518513,0.21935529,0.23717248,0.24974471,0.25176093,0.24438965,0.23607875,0.23481469,0.2449326,0.26797435,0.30131784,0.33926877,0.3705109,0.38796082,0.3910415,0.3883597,0.38838935,0.39608154,0.41241023,0.43512937,0.4602226,0.4795493,0.4881309,0.48440817,0.4734858,0.4597685,0.44765472,0.43991187,0.4389422,0.44449136,0.45236328,0.45750833,0.45524916,0.44523826,0.43105945,0.4228535,0.43243393,0.46358487,0.50482565,0.5326862,0.53127986,0.5025863,0.46517777,0.4359161,0.42068067,0.4153686,0.41384706,0.41256544,0.40976226,0.40535852,0.40024924,0.39577535,0.3934454,0.39579737,0.40765277,0.4304937,0.45901933,0.48022246,0.48510945,0.47214153,0.44750103,0.4165795,0.38564196,0.3628508,0.35672197,0.36903343,0.39330468,0.4197695,0.44089165,0.45090422,0.44829383,0.43843496,0.43486848,0.44580388,0.46565413,0.47681996,0.46873474,0.44410363,0.41480637,0.38766757,0.36414948,0.3431907,0.32518384,0.3093997,0.29297265,0.2737267,0.25207433,0.23412383,0.22889088,0.24823701,0.2938863,0.35343054,0.39813212,0.40686905,0.37828147,0.33477738,0.3017502,0.2959857,0.32113197,0.37156594,0.43262622,0.48293233,0.50292784,0.48637486,0.44367245,0.39724746,0.36947453,0.37565958,0.4136459,0.46564364,0.5022811,0.50416607,0.47005567,0.41826835,0.36945674,0.33820578,0.33000788,0.3433406,0.3697836,0.39475194,0.40637612,0.40322158,0.3957599,0.39776278,0.41715312,0.45360684,0.49805474,0.53758895,0.558152,0.5554256,0.5349968,0.5100793,0.48802054,0.4694855,0.45004448,0.42798245,0.4027989,0.37743735,0.35937402,0.36265492,0.39744854,0.46038738,0.53082174,0.5836908,0.6005306,0.5790217,0.5293408,0.472024,0.42486647,0.3976746,0.38531804,0.3779556,0.36569092,0.34617957,0.31951618,0.28826174,0.25466302,0.22308426,0.20047474,0.1965648,0.22199957,0.276849,0.34553048,0.39723003,0.41034076,0.38489512,0.34366798,0.309198,0.29220676,0.29135445,0.30202886,0.31904832,0.33511534,0.3429364,0.33956853,0.32831797,0.31711283,0.31475377,0.33111548,0.3677335,0.41625658,0.45460916,0.46986684,0.4623623,0.4506968,0.44629154,0.45151547,0.45683873,0.45572332,0.4451108,0.42748117,0.40903232,0.39693156,0.396507,0.40683174,0.42612818,0.4516703,0.4798979,0.5002786,0.50025016,0.47415146,0.4287534,0.3792207,0.33977214,0.31994665,0.32246342,0.3418601,0.36489883,0.3753357,0.3648176,0.33497655,0.29877898,0.27201214,0.2733736,0.31019822,0.3732114,0.43023252,0.45151863,0.42859527,0.38413092,0.34730268,0.33335838,0.33683917,0.3446833,0.34736934,0.34097502,0.32710245,0.311524,0.3021197,0.3031865,0.31419352,0.33524048,0.36502743,0.39843085,0.42050326,0.42364776,0.41348088,0.40956756,0.42240283,0.4470748,0.46893558,0.47891104,0.47888884,0.47466114,0.47033274,0.46516344,0.4574137,0.4485104,0.44395998,0.45308277,0.47603002,0.5029836,0.5137654,0.50152516,0.4743522,0.452858,0.44651344,0.4518018,0.45683005,0.4540466,0.4423771,0.42455944,0.40566316,0.39032078,0.38313368,0.38602805,0.40118754,0.4277221,0.45960668,0.48416615,0.49075997,0.48020676,0.46336582,0.4512987,0.4456664,0.4420025,0.4367076,0.4308649,0.42871204,0.4333624,0.44643876,0.4648875,0.48394743,0.49799547,0.507565,0.5150021,0.5211502,0.51927805,0.50331956,0.4743638,0.44281578,0.41943455,0.40851244,0.40742993,0.4107068,0.41339615,0.41300604,0.4103292,0.40818095,0.40589604,0.39995325,0.38751554,0.3763825,0.3747574,0.38422704,0.38904354,0.37694907,0.34692478,0.31533992,0.29757884,0.30293724,0.33340025,0.38341627,0.44012317,0.48212945,0.49770787,0.4884331,0.47084495,0.45867142,0.45957598,0.47415587,0.49704537,0.51748127,0.5207493,0.5030083,0.4722453,0.44628537,0.43561307,0.4421253,0.45884633,0.47804752,0.492272,0.49734315,0.4932457,0.48324475,0.47205004,0.4634852,0.46283415,0.47344887,0.4937636,0.512294,0.5156367,0.49672988,0.4605119,0.41768226,0.37889537,0.3525755,0.3437115,0.35149884,0.36606982,0.3761619,0.3761039,0.3715192,0.3719144,0.38450634,0.41032472,0.44178224,0.46564007,0.464977,0.43488947,0.38438764,0.33434996,0.30019018,0.2873529,0.2934539,0.31220904,0.33444574,0.3476727,0.34634602,0.33638203,0.33186546,0.34278378,0.36911216,0.40707543,0.4493622,0.48667935,0.50221497,0.48658964,0.4425037,0.3883361,0.34253827,0.31813303,0.3199979,0.3451242,0.3819301,0.41101703,0.41835082,0.40179726,0.37382162,0.35023546,0.34521958,0.36525097,0.40610382,0.45129633,0.48006603,0.48269334,0.46538725,0.44368052,0.4276472,0.41846725,0.4105983,0.39697132,0.37178335,0.33326468,0.28739455,0.24413049,0.21458502,0.2055633,0.22324197,0.2662087,0.32306305,0.36886016,0.3839554,0.36597645,0.3331047,0.30549887,0.2934222,0.29561266,0.30655527,0.3200495,0.32955384,0.33037546,0.32299054,0.31247464,0.30644986,0.3111646,0.33324146,0.37090924,0.41317442,0.4369307,0.42872977,0.3909421,0.34511042,0.31132978,0.3023898,0.3199116,0.35748434,0.3995658,0.42424354,0.4162166,0.37486783,0.31716707,0.26624492,0.24441619,0.26447928,0.32345024,0.40090808,0.46616802,0.4988934,0.49523118,0.4672395,0.42786208,0.3914038,0.3707485,0.37501398,0.40034047,0.43044832,0.44781622,0.44321844,0.4199482,0.3895109,0.3692417,0.37278175,0.40023294,0.4337449,0.45068017,0.44192293,0.4174228,0.3941175,0.38100877,0.37586978,0.3718765,0.3632257,0.34740248,0.32422486,0.2966468,0.26853538,0.24569164,0.23528574,0.24768312,0.28590187,0.3389025,0.37949386,0.3857582,0.35571197,0.3096527,0.27027273,0.2490726,0.24505885,0.25148302,0.26060832,0.26464728,0.26128444,0.25520304,0.25438353,0.2618461,0.27558088,0.29718408,0.3297523,0.3723959,0.40842462,0.42304575,0.4100553,0.38136947,0.34706044,0.3158852,0.29318652,0.28685158,0.2983804,0.31781733,0.3312286,0.33040228,0.32035616,0.31158945,0.31576613,0.33781633,0.371519,0.39935353,0.4018331,0.3750166,0.33142817,0.2917479,0.26724032,0.26017842,0.2674446,0.28624344,0.31301594,0.34340945,0.3767612,0.41331306,0.45365545,0.4906498,0.51897556,0.5322667,0.5308397,0.5104128,0.47297764,0.42347145,0.37668946,0.3427143,0.32566646,0.3220861,0.32892117,0.3434434,0.36082256,0.3743882,0.37977538,0.37895373,0.37745813,0.37995043,0.387228,0.39776254,0.4084768,0.4158728,0.41597053,0.40705582,0.39028072,0.36863172,0.34397385,0.3163211,0.28753236,0.26352075,0.25360277,0.2630222,0.2889484,0.32095554,0.34842512,0.36470708,0.36748472,0.35685956,0.3363398,0.31333575,0.29515985,0.2830942,0.27139768,0.25334993,0.22761291,0.19903696,0.17457168,0.15867357,0.1516123,0.15003519,0.14977755,0.1478331,0.14379507,0.1390416,0.13668291,0.14062452,0.15335365,0.17315298,0.19300766,0.20574212,0.2080847,0.2033409,0.19656102,0.19250996,0.19402836,0.2030771,0.21948792,0.23989768,0.25982007,0.27460268,0.28192794,0.28206855,0.2821056,0.29355302,0.3237683,0.36647752,0.40405568,0.42377737,0.42725047,0.4268241,0.42950496,0.43224785,0.42844737,0.41790512,0.40627852,0.39722812,0.38850787,0.3773041,0.36475554,0.35636857,0.3531034,0.35351813,0.3540376,0.35664907,0.3608235,0.3641713,0.36003056,0.34735283,0.32985377,0.31481436,0.306024,0.30408105,0.30731532,0.31344232,0.3177804,0.31366777,0.2960478,0.26734236,0.23757702,0.21906297,0.21745156,0.22931151,0.24409692,0.25182733,0.24689476,0.23087597,0.20951295,0.18994898,0.17662996,0.17029394,0.16880697,0.16915698,0.16929035,0.1681359,0.16581543,0.1637202,0.16515313,0.17448829,0.19329111,0.21766184,0.23822379,0.2482211,0.24833123,0.24888997,0.2604692,0.28887713,0.32841864,0.36768544,0.3920218,0.39568508,0.38250467,0.36681518,0.36059615,0.3684683,0.38516816,0.40263203,0.41346034,0.4126782,0.3982837,0.37444386,0.3521366,0.3430053,0.35057482,0.3671482,0.38203323,0.38886508,0.38744977,0.3768003,0.35517284,0.32434973,0.29532948,0.2814255,0.28873956,0.30979624,0.3324841,0.34790242,0.3551806,0.3536195,0.34246445,0.32327017,0.30788216,0.31036612,0.33632985,0.37394416,0.40643266,0.4244947,0.43243524,0.43655968,0.437932,0.43242344,0.41887704,0.40193596,0.3888198,0.38431802,0.38814226,0.39670762,0.40431407,0.40614498,0.399169,0.3870519,0.37752727,0.37927213,0.3916043,0.40740833,0.41727766,0.4193078,0.4157966,0.40982953,0.40064493,0.38730225,0.37084386,0.35508028,0.34217584,0.3313298,0.31882527,0.30275455,0.28473854,0.27086774,0.26649687,0.27060902,0.27311853,0.26179233,0.23468886,0.20473371,0.19391115,0.21760465,0.27704915,0.35477912,0.4238491,0.45699552,0.44495937,0.3993218,0.34733245,0.31152427,0.3006474,0.30842313,0.3236626,0.3357829,0.3387111,0.33026835,0.31300727,0.29186672,0.2723237,0.25813714,0.2523553,0.25838962,0.27811444,0.30920663,0.3432558,0.37103418,0.3858327,0.3868034,0.37514615,0.35475898,0.33020207,0.3073281,0.28836414,0.27177653,0.2541879,0.23583497,0.22085242,0.21322285,0.21236484,0.21339571,0.21161886,0.20577224,0.19774072,0.1895072,0.1816659,0.17374693,0.16591825,0.15914841,0.15471558,0.15281314,0.15231948,0.1512006,0.14787474,0.14206329,0.13504352,0.12959312,0.12942713,0.13791914,0.15478468,0.17496824,0.19021155,0.19567879,0.19256781,0.18710655,0.1844155,0.18659495,0.19447213,0.20900266,0.23050539,0.25429735,0.27348468,0.28181025,0.2808714,0.2793236,0.29086486,0.3228227,0.36832356,0.40589407,0.41572356,0.3956921,0.362396,0.33579436,0.32361877,0.32145283,0.32102463,0.31836107,0.31355107,0.30832598,0.30411533,0.3011503,0.2991357,0.29724005,0.2965871,0.30027744,0.31350306,0.3390088,0.37428924,0.41016403,0.4359771,0.44584107,0.44265595,0.434463,0.42666712,0.41641974,0.3952496,0.35919464,0.3163056,0.28500786,0.2805895,0.30457768,0.34280202,0.3765585,0.39210734,0.38509867,0.3577081,0.31657648,0.27119341,0.23141456,0.2035336,0.18789822,0.18081729,0.17854796,0.18070841,0.19046752,0.21190035,0.245948,0.28781092,0.3285695,0.3594577,0.37630177,0.37997088,0.37466112,0.3649033,0.35396853,0.3431342,0.33213925,0.32038698,0.30771068,0.29457954,0.28156784,0.26943636,0.2590967,0.2512243,0.24537504,0.24004526,0.23373829,0.22626893,0.21864754,0.21200238,0.20650482,0.20158571,0.19688158,0.19285111,0.19041742,0.18991953,0.1906877,0.1912604,0.1901605,0.18580909,0.17617525,0.15905978,0.13392441,0.10370708,0.0741691,0.051193535,0.038500924,0.038234193,0.051507305,0.07758513,0.11124524,0.14412713,0.16835248,0.18123674,0.18480606,0.18327062,0.17975758,0.17588681,0.17230053,0.16932154,0.16696046,0.16492282,0.16285996,0.16069146,0.158446,0.15598248,0.15298314,0.14935999,0.14553161,0.14187331,0.13827595,0.13410546,0.12901063,0.123171546,0.11702753,0.11087355,0.10488818,0.09932822,0.09396282,0.08786839,0.08092413,0.077073,0.086060606,0.11786735,0.17371231,0.2397542,0.295346,0.32607123,0.3333712,0.3282698,0.32164514,0.3176762,0.31748733,0.3218744,0.33188346,0.3447896,0.35542634,0.35835782,0.353528,0.34513593,0.34096506,0.34495828,0.3562611,0.36703786,0.37209013,0.37103498,0.3711263,0.3770429,0.3890073,0.4019308,0.41217414,0.4181855,0.41945744,0.41665614,0.41265976,0.4136728,0.422279,0.43569705,0.44571105,0.4483668,0.44513273,0.4426427,0.44589722,0.45696095,0.47403708,0.49277547,0.5084078,0.5177532,0.52020884,0.51630086,0.50663084,0.49303675,0.4786339,0.46811616,0.46581686,0.47629094,0.50014037,0.531203,0.55505985,0.5596139,0.5439563,0.5205578,0.50329715,0.49740815,0.49819937,0.49808526,0.49324307,0.48374262,0.47188032,0.45908213,0.44620976,0.4349253,0.43027997,0.44042075,0.46858802,0.50763315,0.53881556,0.54733306,0.52981806,0.49750468,0.4621481,0.43196037,0.40948263,0.39666227,0.39245507,0.3918213,0.38788962,0.3786434,0.3690485,0.3685151,0.38348427,0.41620016,0.45790282,0.49419108,0.5059838,0.4897919,0.45535323,0.42392114,0.4058839,0.40115395,0.40050113,0.3956087,0.37953302,0.34777865,0.30178472,0.24902438,0.2015955,0.172067,0.17315704,0.2145205,0.2892945,0.37049672,0.41848397,0.41479683,0.37065077,0.32167742,0.29544047,0.30370232,0.34029794,0.39204156,0.44036984,0.46822074,0.46698675,0.44094804,0.4052999,0.378556,0.3770335,0.40532085,0.45255354,0.4935178,0.50539607,0.48177204,0.43663147,0.39141178,0.36163986,0.35199162,0.35962704,0.37780818,0.39720538,0.40818083,0.40592542,0.3935181,0.38130903,0.38121963,0.4029098,0.4467225,0.50245243,0.5494848,0.57128555,0.5625374,0.53279424,0.4943416,0.45748377,0.42794004,0.40854332,0.39672074,0.3845035,0.36625305,0.3472159,0.34213272,0.3639436,0.41154814,0.47261652,0.5271744,0.5590748,0.55612946,0.5225208,0.4738171,0.43345574,0.41288376,0.40881002,0.40656054,0.39340913,0.3650229,0.32521152,0.28195837,0.24262053,0.21281601,0.1986502,0.2086962,0.24998803,0.31524214,0.37965575,0.4117314,0.39948687,0.35625377,0.31018656,0.28007337,0.27141094,0.28133407,0.30565083,0.3375992,0.36607718,0.38264048,0.38562325,0.38307273,0.38516918,0.40206182,0.43522838,0.47613254,0.50503725,0.5080189,0.48749176,0.46330187,0.45341578,0.46125177,0.47667968,0.4874294,0.48615873,0.4698921,0.43987986,0.40311077,0.3708788,0.3539897,0.35692707,0.37995532,0.41683623,0.45640913,0.48015454,0.4759955,0.44377264,0.39872882,0.35789356,0.33419505,0.3325759,0.35029832,0.3758644,0.3912251,0.38276973,0.34908614,0.30176052,0.2580118,0.2346837,0.24649997,0.2945976,0.3627094,0.41619495,0.4326884,0.41348776,0.3864999,0.37318823,0.3788645,0.39159045,0.4008794,0.4004343,0.38791242,0.36398724,0.33468246,0.31063247,0.3009123,0.31124723,0.34264287,0.3879684,0.43007252,0.44940886,0.4423835,0.42398754,0.4162396,0.42668328,0.44844866,0.4691266,0.48252806,0.48662722,0.48122013,0.4676615,0.45113167,0.44002435,0.4412783,0.45872125,0.48760453,0.51615286,0.52667636,0.5106936,0.4736717,0.4337503,0.4055533,0.39327893,0.3921332,0.39610064,0.40171883,0.4069532,0.41041628,0.41111743,0.40940487,0.40868524,0.41483632,0.43487272,0.46726522,0.500964,0.51740086,0.5086094,0.4802824,0.44951582,0.42795715,0.41840696,0.4168321,0.41838348,0.4215031,0.4267814,0.44000593,0.46255577,0.49128082,0.51451886,0.52811295,0.53480625,0.54185677,0.546639,0.5409799,0.5224952,0.5007439,0.48944223,0.49211693,0.5015524,0.50742173,0.5045497,0.49445197,0.48161662,0.47370163,0.4723141,0.47269967,0.46172228,0.43822876,0.4121476,0.3995198,0.39843822,0.39536414,0.377749,0.34996936,0.32724372,0.3242306,0.34867764,0.3953568,0.44772592,0.48080158,0.48199287,0.45852736,0.43366396,0.42475578,0.43505064,0.45960665,0.49128374,0.52248764,0.5389875,0.53203934,0.5029967,0.4674188,0.4390267,0.42479277,0.42260477,0.42848194,0.43679515,0.44196817,0.43954372,0.4292334,0.41393623,0.39902505,0.39182386,0.40182963,0.4322956,0.47514796,0.5102325,0.5220537,0.5065761,0.4730295,0.43184224,0.39260304,0.36294162,0.34754205,0.34402165,0.34305143,0.33708513,0.32651967,0.31936654,0.32445017,0.3471332,0.38721332,0.43486986,0.47174492,0.4781066,0.44992593,0.4006504,0.35357323,0.323881,0.31654477,0.32916844,0.3562615,0.387889,0.4100239,0.4140006,0.40145263,0.38460815,0.3753476,0.3817458,0.4044068,0.43749666,0.46634117,0.47490492,0.4549894,0.41333044,0.36571053,0.32781747,0.30915502,0.31265238,0.33478037,0.36536813,0.39021942,0.3985798,0.38847253,0.36934328,0.35564932,0.36307833,0.39567557,0.4444063,0.48494902,0.49869013,0.48033917,0.44390908,0.40520146,0.3757789,0.35804346,0.349722,0.34356594,0.32988515,0.30271664,0.2650183,0.22770607,0.20450455,0.2068039,0.2419246,0.30283964,0.3681881,0.40657577,0.40396902,0.36831173,0.3259267,0.29530123,0.28362116,0.28832337,0.30570784,0.32990384,0.35148945,0.3628554,0.36172938,0.35375848,0.34776053,0.35334727,0.37680206,0.41316366,0.44632766,0.45472243,0.4327475,0.3914933,0.35419714,0.33470035,0.33733973,0.355677,0.3801848,0.39684877,0.39449945,0.37026134,0.33271116,0.2967539,0.2774409,0.28792438,0.3317064,0.39893052,0.46271816,0.49889675,0.49705434,0.46855322,0.42898095,0.39197445,0.36479208,0.35431588,0.36289147,0.38484046,0.40719172,0.41775486,0.41232952,0.3976523,0.38743377,0.39790812,0.43191895,0.47677636,0.50417906,0.49939933,0.46596178,0.4273263,0.3992698,0.3874458,0.38659915,0.3917756,0.39735398,0.39737156,0.3891082,0.3748732,0.36173877,0.3557705,0.3620132,0.38259304,0.4130006,0.43990615,0.44720063,0.4314525,0.40480256,0.3860768,0.3827953,0.3890635,0.39348245,0.38977912,0.37856126,0.36393073,0.35142127,0.34476638,0.3452452,0.35018143,0.35900664,0.37341866,0.39727834,0.4286314,0.4617325,0.48840082,0.50366837,0.50526285,0.49573055,0.48344603,0.47818127,0.48436403,0.49402395,0.49511185,0.47908005,0.4494569,0.41581666,0.38989058,0.3799809,0.3886043,0.4113585,0.43804133,0.46135414,0.4792225,0.4951365,0.5112751,0.5281957,0.54571366,0.56246465,0.57582664,0.58036256,0.57448506,0.55959535,0.54287165,0.5313322,0.53264314,0.5497982,0.5781498,0.60495096,0.61550784,0.60583943,0.5832841,0.5620219,0.54933363,0.54492927,0.54384035,0.54328674,0.54298884,0.5422718,0.5396339,0.53200984,0.5182991,0.4989295,0.4798738,0.469141,0.47359702,0.4907258,0.51090187,0.52277666,0.5200749,0.5020202,0.4726156,0.44209337,0.42378744,0.4267759,0.44731602,0.47199073,0.48806736,0.49163464,0.4881796,0.48577252,0.4923382,0.5069609,0.5215047,0.5205336,0.49903205,0.4637345,0.43053284,0.4068806,0.391045,0.37799004,0.36627582,0.35601464,0.3432691,0.32285622,0.2926207,0.25696394,0.22566651,0.21128833,0.22773226,0.27692124,0.3447603,0.39952144,0.4199356,0.4045256,0.3763937,0.35783848,0.36371312,0.39500868,0.44551262,0.4997827,0.53760237,0.5433529,0.51524967,0.46830192,0.42538476,0.409142,0.4308789,0.48364058,0.54135376,0.571536,0.558296,0.51092,0.45659566,0.4178592,0.4047558,0.41546473,0.443146,0.47696266,0.504556,0.5197966,0.52595377,0.5326258,0.54505295,0.56353194,0.58514285,0.60753345,0.625072,0.6312253,0.62235403,0.60109717,0.5715701,0.5359058,0.49659252,0.45900157,0.42898798,0.40784502,0.3951223,0.3950669,0.41654336,0.4638698,0.5279388,0.5899344,0.63118905,0.6434626,0.62942123,0.5998664,0.56691265,0.53847426,0.5166554,0.49805093,0.48008704,0.45954427,0.43500006,0.40288433,0.3629,0.31831303,0.2771482,0.24891423,0.24188633,0.26180863,0.30388665,0.35293922,0.38550052,0.3897436,0.3689166,0.34085658,0.31949797,0.31214443,0.31834945,0.33556888,0.358263,0.3786057,0.39083543,0.39449868,0.39514896,0.39983454,0.41545692,0.4450839,0.48519072,0.5226869,0.5434189,0.5438834,0.536252,0.5364001,0.54811066,0.561266,0.562829,0.54874253,0.52299035,0.49334398,0.46877015,0.45915946,0.47130573,0.5028315,0.5432007,0.5777207,0.5958813,0.59157383,0.566564,0.5254208,0.47584733,0.4240798,0.37891126,0.3503472,0.34618822,0.36400566,0.3892953,0.40446663,0.39904153,0.37601146,0.34754574,0.3306688,0.34072056,0.38072518,0.43427262,0.46926102,0.46479538,0.4263569,0.38367835,0.3604819,0.36091208,0.37133726,0.37910613,0.3785263,0.37163258,0.364884,0.36828426,0.38918713,0.42668948,0.47170863,0.5144438,0.54549164,0.5573716,0.5444691,0.5155882,0.4889275,0.48378518,0.5010633,0.5292025,0.5533189,0.56818086,0.5742574,0.5728982,0.5647484,0.55208904,0.5413177,0.5380423,0.5465327,0.5643526,0.58522326,0.597256,0.5924662,0.56990665,0.5379,0.50609046,0.48081648,0.4641947,0.4556867,0.4533805,0.45387015,0.45475927,0.45500073,0.45477664,0.45444462,0.45663038,0.46730718,0.4901077,0.5204899,0.5440298,0.5498534,0.53783923,0.52025175,0.50744385,0.5030216,0.5034879,0.5072854,0.51652074,0.53494257,0.56139773,0.5893269,0.6090509,0.61664885,0.6139858,0.61009973,0.6096198,0.61301404,0.612539,0.6043484,0.5893312,0.5747916,0.5648949,0.558556,0.5511463,0.5390207,0.5225156,0.50477415,0.4923668,0.48726806,0.48569444,0.47580218,0.4555097,0.43245038,0.4212192,0.4212669,0.42126486,0.40918717,0.38747886,0.36839104,0.36456856,0.38422918,0.42830503,0.4894978,0.5491905,0.5876778,0.5942888,0.5754516,0.5473969,0.52688116,0.52354217,0.53585047,0.5531929,0.5588708,0.5433014,0.5083353,0.46889195,0.4408076,0.4348091,0.45123252,0.4833261,0.5184881,0.5445595,0.5535645,0.5464785,0.5298055,0.5113942,0.49704126,0.49190772,0.5006836,0.5235657,0.551966,0.5710574,0.56646013,0.53150713,0.46828556,0.38978383,0.31826416,0.2794483,0.28805062,0.33571887,0.395386,0.4387146,0.4568006,0.45899296,0.46030745,0.46486592,0.46696946,0.4586487,0.43676198,0.4024285,0.35885116,0.3113999,0.26806542,0.23822212,0.22916974,0.24216042,0.2703069,0.30110845,0.32357618,0.33531103,0.34137905,0.34840962,0.35735917,0.366506,0.37387502,0.38032195,0.38307822,0.3738691,0.3417661,0.2837229,0.21220975,0.15052013,0.12027074,0.12699352,0.15872283,0.19375259,0.21427129,0.21376212,0.19675325,0.17316377,0.15346283,0.14643383,0.15613341,0.17905341,0.20367219,0.21752864,0.21476789,0.19895661,0.1780746,0.15838099,0.14284782,0.13221043,0.12673058,0.12498941,0.12430495,0.12179925,0.11653245,0.109366834,0.10173998,0.09427086,0.086656116,0.077736646,0.06648759,0.05264589,0.037902657,0.024849745,0.015738025,0.01076232,0.008721777,0.008529709,0.010788072,0.01802723,0.03208982,0.051983953,0.07227538,0.086993836,0.092633806,0.09081148,0.08517736,0.07906299,0.07336119,0.067787066,0.06212392,0.057452496,0.0557688,0.058866467,0.06665902,0.07697221,0.086399175,0.092532195,0.09461158,0.093526505,0.09026045,0.0857349,0.0804427,0.07512969,0.07022903,0.06610348,0.062541135,0.059429005,0.056461766,0.05369052,0.051011827,0.04859778,0.046393797,0.044563632,0.043005142,0.041791994,0.040700477,0.039687898,0.038481448,0.03709404,0.03578244,0.03695723,0.0464741,0.074011594,0.1270577,0.20320503,0.2851122,0.3473663,0.37013292,0.3503296,0.3019021,0.2475817,0.21024556,0.20672114,0.24165769,0.30489767,0.37386456,0.42696467,0.45330426,0.4560897,0.4442451,0.42571363,0.4050088,0.38509762,0.36877874,0.35698307,0.34751382,0.3338846,0.30904117,0.27050355,0.22640717,0.19286579,0.18488538,0.20501699,0.24228024,0.2799589,0.3066657,0.31990147,0.32343432,0.32176375,0.31804374,0.31404188,0.31110457,0.3099657,0.31010395,0.31012252,0.3077712,0.3006636,0.2850347,0.2583811,0.2221797,0.18623821,0.16378309,0.16391177,0.18353702,0.21104918,0.2345504,0.24938552,0.2569926,0.26029015,0.26063156,0.2585865,0.2551483,0.25136864,0.24745719,0.24349694,0.24015974,0.23815693,0.23637308,0.23248106,0.22528006,0.21642582,0.20851554,0.20245652,0.19699848,0.19092812,0.18435998,0.17817856,0.17256291,0.16731465,0.16246147,0.15843701,0.15518947,0.152056,0.14871235,0.14540525,0.14280711,0.14114456,0.14125955,0.14475459,0.15339822,0.16657881,0.18072301,0.19102861,0.19439512,0.19107258,0.18447511,0.1804526,0.18477769,0.19887216,0.21718211,0.22912425,0.22794332,0.21557768,0.20381047,0.20385493,0.22003704,0.24395089,0.2627578,0.26620042,0.25584018,0.2410269,0.23307358,0.23526694,0.24311288,0.24773894,0.24466974,0.23487556,0.22359945,0.21386783,0.20616014,0.19816084,0.18909496,0.17879778,0.1684491,0.15760905,0.14613278,0.13417606,0.12457668,0.121180855,0.1266682,0.13958935,0.15419824,0.16426478,0.16637918,0.16157974,0.15224917,0.14069097,0.12794971,0.115551114,0.10456707,0.09599871,0.08952749,0.084727265,0.08063535,0.07673061,0.0727672,0.06941852,0.06739491,0.066860415,0.06666691,0.06549043,0.06257173,0.05847238,0.053994764,0.049716223,0.045622543,0.04177377,0.038418353,0.03593889,0.03446813,0.03382,0.033600092,0.033413764,0.033037487,0.032404598,0.03155077,0.030463204,0.029099641,0.02744315,0.025606863,0.02379212,0.022186644,0.020875504,0.019858738,0.019107787,0.018585987,0.018229125,0.017941,0.017626518,0.01721902,0.016666166,0.016263606,0.016969575,0.020841122,0.029683903,0.043896716,0.06087837,0.07699182,0.089052744,0.09656486,0.10038614,0.101940095,0.101926975,0.10078898,0.098895706,0.09662387,0.09422618,0.09170526,0.08904781,0.086247824,0.08341881,0.080673136,0.07814464,0.075843364,0.07368941,0.07152311,0.069334604,0.0672184,0.06528727,0.06348159,0.061630744,0.059588313,0.057313118,0.05487664,0.05230238,0.049576476,0.046622578,0.04352152,0.040475246,0.03778039,0.035613615,0.03399356,0.032789815,0.031787418,0.030767368,0.029534617,0.027999742,0.02616992,0.024123197,0.021883368,0.019353496,0.01638759,0.012988053,0.00945635,0.0062955245,0.003931737,0.0024761069,0.0017316692,0.0013878411,0.0012033846,0.0010620471,0.0009270513,0.00079199695,0.0006586862,0.0005340097,0.00042653029,0.000343152,0.0002885835,0.00026612362]