[0.05007311,0.050356288,0.051333044,0.05383335,0.059426248,0.068965405,0.08114508,0.0917316,0.09623477,0.09272932,0.08347299,0.072856285,0.06494676,0.06201473,0.064573765,0.071365155,0.079221524,0.08407024,0.083245166,0.07720821,0.06903037,0.06211133,0.058689516,0.059886307,0.06603104,0.07589919,0.085730605,0.09045968,0.086921066,0.076481424,0.06415403,0.05523597,0.05256864,0.056329906,0.06480437,0.07506166,0.08303061,0.085455574,0.0812617,0.072425984,0.06182189,0.051994532,0.044390563,0.040167402,0.039862465,0.04306731,0.048122723,0.05305415,0.056446522,0.057889577,0.057800353,0.056784585,0.05546013,0.05404586,0.05316164,0.053935643,0.05844378,0.067658626,0.08026281,0.091624625,0.09702414,0.094201475,0.08536636,0.07472458,0.06638874,0.062644295,0.064400196,0.07072564,0.07874533,0.084146015,0.08392167,0.07813666,0.06986726,0.06261822,0.05881468,0.05960208,0.06538639,0.07500705,0.08475328,0.08924904,0.084962584,0.073103,0.059309736,0.049697224,0.047618624,0.052802984,0.06277701,0.07403591,0.0825781,0.08542643,0.08169649,0.07337224,0.063264586,0.053911418,0.04664955,0.042551845,0.042080745,0.0449501,0.04962254,0.054263145,0.057451114,0.058794644,0.05858076,0.0573798,0.055735905,0.05405352,0.053011656,0.053780466,0.05822028,0.0673027,0.07980969,0.09136027,0.097200476,0.09484414,0.0862237,0.07546226,0.0668032,0.062657975,0.06411582,0.07032727,0.07855618,0.08437281,0.08458794,0.07898291,0.07059098,0.06302053,0.058864165,0.059337813,0.064879484,0.07452472,0.08491469,0.09095312,0.08891502,0.079301596,0.06682259,0.057011086,0.053302888,0.056123782,0.06393809,0.07388649,0.08216373,0.085434996,0.08234159,0.074375995,0.06414259,0.054144338,0.04591867,0.04086579,0.0397726,0.042537104,0.047562864,0.052840147,0.056690816,0.05855461,0.058593582,0.057450864,0.05576488,0.05411667,0.053164944,0.054027017,0.05837507,0.06721191,0.079458795,0.09101836,0.097171664,0.095235236,0.08683621,0.07598606,0.06707988,0.06270865,0.06409342,0.07034335,0.07871882,0.08468423,0.08501775,0.079429574,0.07102947,0.06342273,0.059162617,0.05932018,0.0643918,0.07359304,0.08378159,0.08964393,0.087064825,0.07626342,0.062404033,0.05175392,0.0482792,0.052141268,0.061224233,0.07221622,0.0813032,0.08525021,0.08276244,0.075331025,0.065639056,0.056222092,0.048531264,0.0437403,0.042517275,0.044804018,0.049238887,0.05483663,0.062839955,0.07833516,0.10658989,0.1483175,0.19558375,0.23659767,0.2636344,0.27946177,0.29493657,0.317927,0.34589896,0.36498502,0.36415195,0.34318197,0.31429556,0.2901175,0.27690938,0.27336398,0.27471575,0.27622893,0.27564266,0.2753401,0.27907482,0.2874289,0.29537928,0.29958913,0.30282167,0.31068107,0.32263693,0.33092383,0.33046758,0.32386023,0.31846818,0.31626782,0.31471097,0.31092787,0.3063455,0.3031149,0.30211595,0.30359364,0.3091724,0.32098064,0.3381921,0.3554752,0.36366332,0.3542417,0.32547283,0.2856231,0.24911487,0.22749925,0.22438097,0.23850067,0.26822427,0.31031832,0.35471448,0.38624868,0.3942832,0.38135055,0.35998335,0.34334055,0.33797824,0.34265164,0.3510259,0.35383406,0.34749648,0.33555183,0.3280013,0.32978272,0.33849445,0.34670007,0.34848222,0.34307027,0.3332665,0.32512388,0.32180163,0.32238778,0.3214915,0.31705487,0.31248245,0.31181034,0.31330478,0.3088181,0.29475257,0.27530208,0.26110235,0.25744355,0.26245508,0.26856685,0.26995334,0.2654924,0.2601532,0.2614276,0.27476096,0.2992461,0.3300053,0.35953394,0.38056532,0.3839481,0.36604086,0.33125058,0.29372498,0.26579717,0.2527961,0.25355414,0.26663768,0.29073146,0.3193668,0.3410338,0.3455149,0.33281812,0.3126719,0.2981911,0.29883516,0.31606713,0.34290516,0.3652031,0.37142077,0.35934237,0.3382406,0.31953165,0.3091619,0.30561617,0.30259824,0.29557636,0.28419778,0.2759695,0.2774556,0.28981194,0.30383155,0.31216615,0.3139896,0.31507194,0.3162559,0.31198713,0.2974731,0.27662826,0.2597721,0.25437936,0.2594737,0.2681413,0.2731832,0.2723448,0.26989758,0.27318847,0.28661448,0.30644467,0.32520118,0.33670866,0.33969927,0.33363676,0.31844893,0.2956567,0.27023515,0.2476482,0.23213296,0.22855788,0.24319367,0.27810934,0.32391146,0.3614386,0.37533846,0.36538967,0.34576115,0.33215854,0.3320596,0.34209248,0.35364434,0.35745665,0.35099626,0.33796716,0.3263552,0.31945005,0.31604376,0.31248626,0.30723187,0.29985502,0.29075766,0.28198263,0.27667987,0.27629137,0.27918765,0.28456494,0.29585552,0.3163981,0.34315017,0.36462638,0.3715757,0.362831,0.34623215,0.32954422,0.31706107,0.30907547,0.3031398,0.29547253,0.2829454,0.2676958,0.25685373,0.2590392,0.27816626,0.31005242,0.34322762,0.36291507,0.36014894,0.33623326,0.30307835,0.2732192,0.25416172,0.24692528,0.25210664,0.27138343,0.30601534,0.35038844,0.3927294,0.41783082,0.41868117,0.39983281,0.37751925,0.36601457,0.36905125,0.37779072,0.3831272,0.38525835,0.39209238,0.40793052,0.4272249,0.44137225,0.44732964,0.4479479,0.44466105,0.4342499,0.41349396,0.3839151,0.35210738,0.32595524,0.3129834,0.31865147,0.34452546,0.38435522,0.4244275,0.44817916,0.44576833,0.42103353,0.38961175,0.36883262,0.3646177,0.37026522,0.37387633,0.37130538,0.36685696,0.36825633,0.37833893,0.3963672,0.41965625,0.44547954,0.46827638,0.48112297,0.4773881,0.45511642,0.4170897,0.37275335,0.33525658,0.3174845,0.32460245,0.3499525,0.3787047,0.39472058,0.39174175,0.37484923,0.35875857,0.35516676,0.36590922,0.38141987,0.39095306,0.39168265,0.38917685,0.3904787,0.39804962,0.41179273,0.43174946,0.45598724,0.4771882,0.4836571,0.46841356,0.43384346,0.39149943,0.35447702,0.33310875,0.33125845,0.3470622,0.37307003,0.39921746,0.4153776,0.41563323,0.40287387,0.38820884,0.38470408,0.39521804,0.41073063,0.41837728,0.41518816,0.40865853,0.40812108,0.41506398,0.42515698,0.43352798,0.4391012,0.44201016,0.4423685,0.4378408,0.42535755,0.40209356,0.37040186,0.3385221,0.3188046,0.32079825,0.34534517,0.38254717,0.41512474,0.42812312,0.4181522,0.39745238,0.38492846,0.39235345,0.41456816,0.4361826,0.4438006,0.4359217,0.41887984,0.40197837,0.39213824,0.39391708,0.40586957,0.42189765,0.4340831,0.43966392,0.44006348,0.43824482,0.43477747,0.43082288,0.42952287,0.4351573,0.44738987,0.45989296,0.4630482,0.4517691,0.43009928,0.41081586,0.40740833,0.4231732,0.44634905,0.45789683,0.44687787,0.41995814,0.39471653,0.3869908,0.40086332,0.43008986,0.4625837,0.4877851,0.50160915,0.5069229,0.5077413,0.5029013,0.48787972,0.46271655,0.4371895,0.42650393,0.43933758,0.47011852,0.5001046,0.5104994,0.49638268,0.47140265,0.45922795,0.4739767,0.5108018,0.5476373,0.5650186,0.55718327,0.53476423,0.51339906,0.5052533,0.51296026,0.52916926,0.54106426,0.53949285,0.5247147,0.5038984,0.48182893,0.45822313,0.43191803,0.40864548,0.39827332,0.40501747,0.42056087,0.4294064,0.42321512,0.40788707,0.400566,0.41650355,0.45760036,0.5084149,0.5439995,0.5475419,0.5204203,0.48001012,0.44426933,0.42222592,0.4122772,0.40738907,0.40112507,0.39118564,0.38101402,0.37415364,0.37025,0.36484098,0.35756922,0.35564733,0.3688272,0.3979225,0.43095586,0.45059153,0.4467984,0.42392445,0.3961123,0.37826824,0.37514248,0.38210377,0.38885042,0.39165378,0.39307773,0.39980602,0.4122977,0.4266994,0.4380845,0.44654635,0.45420098,0.4615899,0.46565905,0.46237636,0.4501725,0.4310447,0.4113784,0.39968345,0.40389872,0.4240867,0.45072174,0.46767235,0.46437868,0.44366774,0.42138886,0.4145343,0.4279901,0.4512775,0.46700525,0.4657149,0.45109892,0.43598187,0.43163824,0.44257852,0.4645696,0.48784313,0.50196046,0.5022516,0.4913771,0.47448036,0.45420673,0.43046817,0.4066819,0.3909819,0.3926045,0.41248715,0.44137847,0.46334073,0.46615124,0.4478658,0.4179639,0.39141896,0.37818742,0.37836695,0.38271424,0.38435316,0.38324496,0.3856282,0.39426145,0.40606245,0.41600683,0.42233786,0.4271003,0.43063906,0.43033528,0.42199156,0.4055754,0.38620004,0.37259495,0.37282422,0.39112738,0.4256605,0.46615878,0.4968625,0.50284404,0.48142537,0.44401035,0.41087613,0.3954756,0.3975117,0.40387097,0.4030951,0.39366806,0.38465405,0.3852923,0.39810362,0.41851464,0.43845657,0.45120642,0.4527314,0.44409582,0.42787376,0.4067296,0.38146505,0.35607716,0.33836028,0.338218,0.35942063,0.39642665,0.43433276,0.45749572,0.45780727,0.44113645,0.4227669,0.41575393,0.42151833,0.4307053,0.43505713,0.4333789,0.4303567,0.42949232,0.43327942,0.44424132,0.46235633,0.4806174,0.48742774,0.4761846,0.45051122,0.42086402,0.39773607,0.38879195,0.39968085,0.43182945,0.48005378,0.52960473,0.5617287,0.5604238,0.52496094,0.47160435,0.4287864,0.414961,0.42730466,0.44196203,0.43933514,0.41890836,0.39934942,0.39929155,0.42356217,0.46281472,0.4988946,0.51721853,0.51158035,0.49163732,0.4708804,0.45967078,0.4550968,0.45396507,0.457783,0.4760456,0.5119494,0.5550008,0.5833972,0.57719994,0.5354827,0.47821975,0.4390981,0.43826088,0.47113013,0.5074776,0.5211138,0.5039577,0.47102043,0.43978992,0.42135298,0.41562584,0.41724327,0.4195038,0.4185748,0.41660592,0.41702512,0.4200877,0.42038527,0.4149717,0.4096671,0.41565546,0.44043696,0.4769385,0.5098989,0.5218158,0.5091733,0.4808782,0.4578282,0.452631,0.46373093,0.47216475,0.4644539,0.44288015,0.42736816,0.4339637,0.461925,0.49330416,0.50732756,0.4952065,0.46410346,0.4318312,0.41116032,0.4028795,0.3967272,0.38743472,0.38009393,0.38623586,0.4104036,0.4447604,0.47649732,0.493824,0.4957957,0.48734233,0.4811333,0.48239756,0.48962423,0.49022874,0.47957528,0.4612882,0.44856998,0.44614652,0.45151314,0.4561824,0.45648393,0.45201027,0.44655254,0.44609442,0.45590702,0.47528172,0.494157,0.5022532,0.49639735,0.4842907,0.47425115,0.46907437,0.46562234,0.460652,0.4562997,0.45759812,0.47133517,0.4952024,0.5198601,0.52917546,0.51854146,0.4941292,0.47021016,0.45368567,0.44597998,0.44707787,0.45740637,0.47470495,0.4920617,0.5068221,0.51854426,0.52740335,0.5242662,0.50381243,0.46998957,0.44200385,0.43488345,0.4512434,0.47873545,0.5044746,0.5232818,0.53906727,0.5615606,0.59621483,0.63988334,0.67473215,0.6833636,0.65764934,0.6086692,0.55446583,0.51325125,0.49387756,0.49507308,0.50546694,0.51123327,0.5072201,0.4978168,0.49250904,0.49260554,0.4951936,0.49485397,0.49392405,0.4963325,0.50410855,0.51189685,0.51123816,0.49921033,0.48226812,0.4745625,0.48357216,0.5037883,0.517062,0.5116821,0.49011156,0.4669764,0.45182636,0.4440099,0.4375339,0.42828214,0.4166189,0.4045736,0.39965168,0.40848625,0.432615,0.45895028,0.47320583,0.46867594,0.45379615,0.4385467,0.4270234,0.41676393,0.40458712,0.3920157,0.38253656,0.38308546,0.39536068,0.41580296,0.432009,0.43682086,0.43059826,0.42276677,0.4196401,0.42394352,0.43512177,0.45165887,0.4690807,0.4804206,0.48147354,0.47287762,0.45897293,0.44384852,0.43214095,0.42992583,0.44138658,0.4642129,0.48719987,0.49872538,0.4925942,0.47380507,0.45384118,0.44749618,0.4619914,0.49105826,0.5134676,0.51019764,0.47888124,0.43896,0.4137489,0.41609588,0.4405681,0.47351384,0.5001847,0.5146026,0.51794714,0.51577276,0.5083876,0.49029437,0.45772448,0.41670063,0.38181722,0.36417732,0.3641204,0.37280622,0.37936413,0.3773098,0.36566138,0.35070595,0.33992514,0.33786502,0.34031022,0.3417153,0.33961245,0.33830217,0.34176078,0.35201046,0.3675305,0.3855578,0.39936635,0.40213004,0.39025784,0.3694853,0.3497559,0.34022772,0.34340146,0.35658538,0.3739916,0.38953963,0.39827302,0.39819565,0.38983974,0.37635288,0.36053658,0.34546673,0.331938,0.3204358,0.30999815,0.30213943,0.2990714,0.3029993,0.31239808,0.32454455,0.33729145,0.3495107,0.35796496,0.3586359,0.35062113,0.33869186,0.32949325,0.32697055,0.33225605,0.34630287,0.37172642,0.41093624,0.4621345,0.51686734,0.5604451,0.58190626,0.5830272,0.58104515,0.5922983,0.6166279,0.6330567,0.62128216,0.57973236,0.5298801,0.49504057,0.48439884,0.48858717,0.49203286,0.48297536,0.45927784,0.42752597,0.3985133,0.38055846,0.3740441,0.3745999,0.37810943,0.38513348,0.3968723,0.41245446,0.4283799,0.44223323,0.45421767,0.46709955,0.4835151,0.50316375,0.51986676,0.5242055,0.51074505,0.48376358,0.4539121,0.4291335,0.41103193,0.39888763,0.39470974,0.40086484,0.41644585,0.43595016,0.4520429,0.45773426,0.44834507,0.4269984,0.40399837,0.3928111,0.39847183,0.41608226,0.4341649,0.44347188,0.44131395,0.43321118,0.43092617,0.44560194,0.4789133,0.51842844,0.5453425,0.54708976,0.5259833,0.49499714,0.4694285,0.45878473,0.46410894,0.47769412,0.48860693,0.48936638,0.47999182,0.46478269,0.4473325,0.4304475,0.41842937,0.41719803,0.42876604,0.4462999,0.45770872,0.4526238,0.43153107,0.40411186,0.385801,0.38701522,0.40779936,0.43521655,0.45390034,0.45654973,0.44973108,0.4452832,0.45128977,0.46705738,0.48548484,0.4965159,0.4918913,0.47038427,0.43838763,0.40578023,0.37845948,0.35883912,0.34718856,0.3461995,0.3568565,0.3778466,0.40164742,0.41904607,0.42151272,0.4090495,0.38910052,0.3739101,0.3707709,0.38027644,0.39787385,0.418969,0.43942955,0.45428315,0.45932642,0.45387542,0.4423372,0.42954847,0.4184216,0.4091716,0.4038526,0.4053,0.41591725,0.43348303,0.45289588,0.46765444,0.473809,0.46983504,0.45745492,0.43917334,0.41872814,0.39980292,0.3858504,0.37765583,0.37211764,0.3648224,0.35435817,0.34471628,0.34091505,0.3441666,0.35188165,0.36286008,0.37869892,0.39854887,0.41489825,0.41772243,0.40383103,0.3794709,0.3553653,0.33949646,0.336445,0.34786728,0.37429813,0.41194376,0.45412123,0.4902338,0.51206607,0.5163472,0.51052105,0.50731236,0.5166035,0.53487253,0.5493019,0.5486656,0.5328887,0.5086642,0.48094764,0.45147136,0.42223093,0.39882708,0.38478994,0.3811779,0.38525507,0.39439318,0.40305698,0.40594053,0.4015727,0.3962729,0.39981917,0.4160014,0.43931186,0.4570932,0.4600866,0.4476932,0.42996073,0.41947344,0.42234364,0.4337331,0.44339776,0.4449185,0.43814757,0.4255747,0.4087449,0.39080942,0.37706497,0.37070897,0.36881402,0.3654059,0.35908663,0.3526282,0.34794307,0.34152436,0.33048645,0.3184928,0.31646362,0.33242336,0.36307108,0.39197877,0.40174165,0.38585782,0.3547864,0.32597497,0.3114644,0.30976012,0.31132266,0.30728897,0.29606006,0.2807106,0.26619288,0.25610518,0.25353906,0.2581235,0.26650527,0.273414,0.2774233,0.28035036,0.28453264,0.28878284,0.29128635,0.29345235,0.30018747,0.314767,0.3339955,0.3496373,0.35414252,0.34661078,0.3328554,0.32197532,0.31934878,0.3232741,0.32588932,0.32052496,0.30785385,0.29401848,0.2847261,0.27930453,0.27498773,0.2689583,0.2621845,0.2550495,0.2501172,0.24850325,0.2516005,0.25663808,0.26294023,0.27404967,0.29926565,0.342759,0.39671397,0.4416412,0.46057177,0.45026746,0.42356607,0.3976344,0.38184038,0.37272903,0.36158526,0.34409085,0.3245348,0.30890176,0.29909822,0.29193076,0.28519997,0.27954492,0.27709916,0.2793398,0.2873788,0.30131078,0.31776714,0.3295694,0.33125827,0.32510176,0.32167384,0.33170322,0.35657683,0.38555157,0.4023864,0.39805898,0.37630072,0.35123336,0.33408347,0.3272867,0.32360926,0.3171064,0.3065281,0.29560646,0.2858254,0.27653867,0.26667646,0.25729516,0.24985045,0.24467508,0.24321975,0.24758975,0.2596594,0.27618873,0.29270068,0.30646583,0.32079569,0.33919287,0.361326,0.37991753,0.386927,0.3794227,0.36368397,0.35151002,0.35127446,0.36145547,0.37071523,0.36867294,0.3535314,0.33272183,0.31401548,0.30032477,0.29035258,0.2832416,0.2788038,0.27646872,0.27390084,0.2696651,0.2638611,0.2585404,0.2565692,0.2620622,0.27993754,0.31250718,0.35529354,0.39549255,0.41907123,0.42057538,0.40834332,0.39780274,0.39767358,0.4030333,0.40039733,0.3825183,0.35407186,0.32641876,0.30626643,0.2932886,0.2845351,0.27826563,0.27346182,0.26875213,0.26505262,0.26477823,0.2695093,0.2753798,0.27839515,0.27923048,0.2872328,0.3114268,0.3522513,0.3963833,0.42572224,0.42940447,0.41168097,0.38666105,0.3665756,0.3542892,0.34576258,0.33677065,0.32676074,0.31561136,0.30313066,0.28870913,0.2749965,0.26429775,0.25753555,0.25304642,0.2512556,0.25354692,0.26035473,0.2675296,0.27185667,0.2743312,0.28164458,0.29770306,0.319675,0.33798003,0.34433022,0.33773234,0.32508793,0.31671628,0.31728864,0.32355216,0.32590857,0.319244,0.30591893,0.29332545,0.2852656,0.2804979,0.27643347,0.27164644,0.2650633,0.2539782,0.23780268,0.21948254,0.20524965,0.19918251,0.20297866,0.21700035,0.24213667,0.27675632,0.3134993,0.3398422,0.34522632,0.32873735,0.30242583,0.28454128,0.28856733,0.31313297,0.34306535,0.36041984,0.35774496,0.34180072,0.3246387,0.31319836,0.3061423,0.3006588,0.29766652,0.3008975,0.3113051,0.32370868,0.33069694,0.32703552,0.31528974,0.30304193,0.30044255,0.31155214,0.33264685,0.35073653,0.3531243,0.3344767,0.30416206,0.27978435,0.27608645,0.29289064,0.31615666,0.32951522,0.32702568,0.31509793,0.30429986,0.3003367,0.3025665,0.30782756,0.31401506,0.3200824,0.32539007,0.32891467,0.32986942,0.32718277,0.3214008,0.31619945,0.31850883,0.3336012,0.35841736,0.3804411,0.38498282,0.36722422,0.33732095,0.31440035,0.31157836,0.3269157,0.345082,0.35254624,0.3471435,0.33857426,0.33515224,0.33711156,0.33802497,0.33476415,0.33038297,0.3301152,0.3352401,0.34207273,0.34561646,0.34231022,0.33241388,0.32047752,0.31504536,0.32319936,0.34418216,0.36645937,0.3747276,0.36111197,0.33316663,0.30926824,0.30507484,0.32086426,0.34132978,0.3492473,0.33961022,0.32255307,0.31139234,0.31098974,0.3154087,0.31708065,0.31448737,0.31280407,0.31748405,0.32818744,0.33875993,0.3411921,0.33231628,0.31682834,0.30671206,0.31484818,0.3452036,0.38726816,0.41998568,0.42711687,0.40962002,0.38570496,0.37482318,0.3827341,0.3974725,0.40308356,0.39222822,0.3717625,0.3523046,0.34028122,0.3340244,0.33078504,0.33024323,0.33490154,0.34498036,0.3561155,0.36186048,0.35782564,0.34605658,0.3331705,0.32844543,0.33773884,0.36037102,0.38642454,0.40185317,0.398083,0.38044646,0.36633945,0.37040198,0.39147088,0.41071177,0.40931228,0.38333976,0.3473097,0.31793568,0.30295822,0.29910433,0.30329755,0.31508335,0.33507445,0.35834178,0.3782328,0.38986644,0.39291725,0.3889273,0.38118204,0.376433,0.38352513,0.4054096,0.43315402,0.4488362,0.44137335,0.4157864,0.3928255,0.3897898,0.40934733,0.43514988,0.44993523,0.44557157,0.42914715,0.40905145,0.389784,0.3697121,0.35018647,0.33600226,0.33278024,0.3402047,0.35176614,0.35890904,0.35711166,0.34887934,0.34196723,0.3447739,0.36229137,0.39158344,0.42277953,0.44099066,0.43834946,0.41795042,0.39550897,0.38360634,0.3847648,0.38752374,0.38122413,0.36278117,0.34019887,0.32144138,0.3098422,0.30291784,0.29903856,0.2991918,0.30466375,0.31346482,0.3191871,0.31664994,0.3044394,0.28847095,0.2774775,0.28120065,0.3045293,0.34384334,0.3851645,0.40936002,0.40495816,0.37632632,0.34258476,0.32317472,0.32618383,0.3449029,0.366956,0.38396454,0.39472988,0.40182912,0.40641156,0.40975857,0.41348132,0.42076555,0.4316231,0.44363984,0.45255157,0.45503902,0.44880807,0.4337555,0.41495064,0.40148732,0.40158054,0.4132963,0.42536256,0.42443475,0.40791467,0.38466537,0.36835375,0.3659877,0.37519732,0.38744703,0.39402482,0.39022112,0.3758601,0.35508803,0.3333315,0.31629124,0.3073102,0.30726776,0.31298605,0.31959507,0.32186761,0.31795934,0.30902445,0.29973328,0.29562,0.30152455,0.31906405,0.34411386,0.3676552,0.3782209,0.3705654,0.34915224,0.32805803,0.3207089,0.33086133,0.3496262,0.3623617,0.3608742,0.3475641,0.3326848,0.32393774,0.32370302,0.32977858,0.3398333,0.3515562,0.3612099,0.36423108,0.35764727,0.34340885,0.3273817,0.3166796,0.31564164,0.32448745,0.33849213,0.35000458,0.35105097,0.33812538,0.31482765,0.29118282,0.278497,0.28152466,0.2951213,0.30765978,0.31115136,0.30650508,0.30033728,0.29818687,0.30123547,0.31085825,0.32719555,0.3485954,0.36555192,0.3692383,0.3555188,0.3320378,0.30974865,0.29955402,0.30584323,0.32986405,0.36620358,0.40487418,0.43087372,0.43453893,0.41645575,0.38966978,0.36961743,0.36431333,0.36908042,0.37242457,0.36673847,0.35437807,0.3438759,0.34166944,0.34709823,0.35605267,0.36401674,0.36995837,0.37331077,0.37574938,0.37801525,0.3804327,0.38043103,0.37683034,0.37304345,0.37725326,0.39352354,0.41559494,0.4283907,0.42194894,0.399971,0.37937465,0.37543023,0.39083922,0.41247728,0.4231585,0.41282257,0.38533488,0.3521026,0.32531092,0.31091464,0.3095923,0.31708384,0.32832363,0.3388588,0.34666082,0.35114682,0.3517518,0.34907934,0.34563386,0.34797677,0.36336923,0.39429438,0.43334028,0.46434245,0.4739776,0.4610434,0.4398433,0.42746902,0.4322033,0.44613853,0.45461473,0.44667268,0.4237186,0.3935226,0.36480388,0.3423833,0.33148125,0.33514035,0.35179266,0.37018612,0.37748638,0.36680615,0.34365058,0.31929135,0.30485502,0.3067654,0.32904017,0.37051955,0.4229511,0.46840382,0.49027464,0.48229766,0.45534888,0.42672083,0.40870056,0.4000176,0.39167607,0.37640795,0.35519204,0.33435106,0.3203806,0.3163067,0.32326767,0.33868995,0.35675254,0.36680302,0.36157498,0.340278,0.31141078,0.28461632,0.26689783,0.2605176,0.2667285,0.28567216,0.3144145,0.34541178,0.37051928,0.38678455,0.39653948,0.40287003,0.40410984,0.3980136,0.38617292,0.3762528,0.37422553,0.3786049,0.38073316,0.3729609,0.3565012,0.34102544,0.3375267,0.34954503,0.3724241,0.39731297,0.4167234,0.42497095,0.4191238,0.3983134,0.36657378,0.3306645,0.30102763,0.28599143,0.29044637,0.31036735,0.33660266,0.35634208,0.36150745,0.35041395,0.3320534,0.317602,0.3148826,0.32083085,0.32722425,0.3272426,0.3196665,0.3093842,0.30093458,0.29906714,0.30260438,0.30960575,0.31468108,0.31579614,0.31282964,0.31026548,0.31277156,0.3228422,0.338616,0.35618654,0.37128997,0.38143897,0.3852501,0.3850182,0.38417402,0.38652173,0.3917384,0.39737496,0.3995105,0.39559242,0.38479853,0.3703082,0.35816026,0.35453057,0.35990658,0.36921594,0.3758266,0.3768995,0.37419954,0.368736,0.36015427,0.34578672,0.326679,0.3048539,0.28426623,0.26723757,0.25594303,0.25047907,0.2473569,0.24040852,0.22412561,0.19993335,0.17601947,0.16380848,0.16917777,0.18910198,0.21171875,0.22417553,0.21816562,0.19610071,0.16768356,0.14613311,0.13916592,0.14729731,0.16433047,0.18342079,0.20109499,0.2187106,0.2405256,0.27017918,0.3060343,0.34010863,0.3603666,0.3604503,0.34324846,0.31993446,0.3005811,0.2908194,0.2921799,0.3041387,0.32294217,0.34094986,0.34986433,0.3473557,0.3374151,0.32832262,0.3243232,0.3271381,0.33505192,0.34854677,0.36556864,0.38394406,0.39819703,0.40519035,0.400219,0.3815972,0.34955025,0.3125182,0.28237668,0.27158466,0.28409478,0.31217518,0.337042,0.3400778,0.31744337,0.2836486,0.26038098,0.2579335,0.2686698,0.2752578,0.2644221,0.23654872,0.2026632,0.17726481,0.16740309,0.17085604,0.17917818,0.18646006,0.19264866,0.20300458,0.22241223,0.2524611,0.2878907,0.31984195,0.3388487,0.34300113,0.33677337,0.32866526,0.32290155,0.31967342,0.31628773,0.31189895,0.30619845,0.2988745,0.2883345,0.2752392,0.26235548,0.25391126,0.2515323,0.25506458,0.26249075,0.27183875,0.2797277,0.28385636,0.28235152,0.27556518,0.2624967,0.24317516,0.2189402,0.19575419,0.18100338,0.17923385,0.18802197,0.19769998,0.19846833,0.18705468,0.17244665,0.16806026,0.18258053,0.21091807,0.23998673,0.25771394,0.26085207,0.25353503,0.24170059,0.23055638,0.22361954,0.22399051,0.23111874,0.24066396,0.24695885,0.24958245,0.25471893,0.27011928,0.2965509,0.32631108,0.3474417,0.35405973,0.34757808,0.33630595,0.32596993,0.32063654,0.32107303,0.32953885,0.34473562,0.36157608,0.37149262,0.36987448,0.35867158,0.34387115,0.33025256,0.3198999,0.31488588,0.31786004,0.3288634,0.34343788,0.35474148,0.3598732,0.35869208,0.35242763,0.33960375,0.32185626,0.30430162,0.29586414,0.30052814,0.31486604,0.32855436,0.3323553,0.3239621,0.30809736,0.29235208,0.2809417,0.27417132,0.2685434,0.26065463,0.24899401,0.23650633,0.22846974,0.22804932,0.23176105,0.23204578,0.2252226,0.21679217,0.21711695,0.2311265,0.25406626,0.27600458,0.29059795,0.29765376,0.30064586,0.3022139,0.3035066,0.305204,0.30867362,0.31406194,0.31880334,0.31857085,0.3117197,0.30215576,0.29598325,0.2965747,0.3011351,0.30550882,0.30716896,0.30775523,0.30904636,0.31114063,0.31119335,0.30588877,0.29371428,0.27540386,0.2531746,0.22973502,0.2089376,0.19533105,0.19190378,0.19677825,0.20244676,0.20038562,0.18750834,0.16983318,0.15776879,0.15920182,0.17350574,0.1932763,0.20751502,0.20814614,0.19329949,0.17021437,0.1508661,0.1462687,0.15866566,0.18113242,0.20040114,0.20623195,0.19784959,0.18645567,0.18770392,0.21050394,0.25111207,0.29632303,0.33440804,0.36025035,0.37613872,0.38541386,0.39101145,0.3940233,0.39709398,0.4020448,0.409677,0.4168506,0.420197,0.41664663,0.4050219,0.3852302,0.36040083,0.33732685,0.32443902,0.32635403,0.34188366,0.3630073,0.37955353,0.38169995,0.36679244,0.33983192,0.31227592,0.29450145,0.2914987,0.30151197,0.3166883,0.3262641,0.3206077,0.29975876,0.27427757,0.2587457,0.25924775,0.26923656,0.2762531,0.27133724,0.25317863,0.22612672,0.19793375,0.17894603,0.17743303,0.19449641,0.2207653,0.24295445,0.25246248,0.25053278,0.24498045,0.24382438,0.25074506,0.2652458,0.28280556,0.29754743,0.3028681,0.29687297,0.2824895,0.266736,0.2546527,0.24787115,0.24582832,0.2489023,0.25699034,0.2674223,0.27411255,0.27290437,0.26463327,0.25588924,0.2529548,0.2581027,0.26722106,0.27428225,0.27396402,0.26492122,0.2476762,0.22551978,0.20343536,0.18841513,0.18496764,0.19178076,0.19999664,0.19886976,0.18277328,0.1567648,0.13237773,0.1198768,0.11977291,0.124228716,0.12286893,0.11151221,0.0928685,0.07368122,0.05868492,0.049676467,0.04567926,0.045043875,0.045475956,0.045951065,0.049304653,0.064517334,0.10397584,0.17292702,0.26150095,0.34391713,0.39600155,0.40897858,0.39774132,0.3839015,0.38142547,0.38443443,0.38023698,0.3610312,0.33340618,0.30951503,0.29831374,0.3003664,0.3095669,0.31849626,0.32122454,0.31822208,0.31326056,0.31212297,0.31574097,0.3226433,0.32918108,0.33545902,0.3441428,0.3592391,0.38089994,0.4037012,0.41874862,0.41870967,0.40338123,0.3796345,0.35756803,0.3431343,0.3368847,0.33475542,0.33247074,0.32604107,0.31679657,0.31203663,0.32395604,0.35541654,0.39665976,0.42695093,0.43488213,0.42089772,0.39657795,0.37001622,0.3468419,0.33196023,0.33266655,0.35300842,0.38761413,0.42273983,0.44335845,0.44319412,0.42741454,0.40844,0.3963262,0.3921573,0.39005682,0.38354942,0.37219045,0.35939303,0.34927,0.3430079,0.33942702,0.33594182,0.3294401,0.3195597,0.30864164,0.3017069,0.30072412,0.30463925,0.3111228,0.3220583,0.34341577,0.37783566,0.4195403,0.4538809,0.4697162,0.46516684,0.45001927,0.43492416,0.4256874,0.41871378,0.40776792,0.3887067,0.36396602,0.3388355,0.31962848,0.31156275,0.31839344,0.33703354,0.35759535,0.3665466,0.35895225,0.33881518,0.31701043,0.3006427,0.29436192,0.30099085,0.32502043,0.36659846,0.4179456,0.4623301,0.4840909,0.47759902,0.4513004,0.41938293,0.39186922,0.36923614,0.34736133,0.32398972,0.3021541,0.2866032,0.28086197,0.28517425,0.29700232,0.3107055,0.32005748,0.32304493,0.32401615,0.33053803,0.34483078,0.36211613,0.37408844,0.37782288,0.37766698,0.3812903,0.39283133,0.40934166,0.42285416,0.425122,0.41210043,0.3872523,0.35837957,0.3342326,0.31940773,0.31565702,0.32149044,0.33207765,0.3424956,0.35326755,0.375128,0.41512504,0.4664136,0.50330096,0.5057224,0.47199896,0.4229449,0.37949213,0.35375944,0.3459768,0.35541436,0.37889186,0.4103495,0.43621215,0.44517657,0.43425414,0.41495642,0.40279683,0.4063984,0.41861668,0.42507282,0.4167422,0.39771426,0.37790975,0.3643109,0.3581315,0.35965475,0.36773,0.37870526,0.38456836,0.3817337,0.3724552,0.3649542,0.36391678,0.37050965,0.38317594,0.40296873,0.43020192,0.4621086,0.48921314,0.5014554,0.49205223,0.46283606,0.4215044,0.3793377,0.34512103,0.3224287,0.308415,0.29818237,0.28815904,0.2795105,0.275448,0.2790391,0.2876204,0.29577574,0.2986213,0.29869652,0.30146918,0.3095102,0.31814203,0.3206538,0.31549418,0.3077596,0.30446792,0.30808887,0.31496426,0.3196303,0.32076463,0.32290703,0.33159932,0.34657252,0.36075294,0.36615255,0.36116257,0.35188198,0.3474554,0.35446572,0.3732771,0.39755878,0.41608703,0.4203203,0.4100369,0.39466968,0.38302052,0.3770741,0.37131965,0.36377433,0.35894296,0.3655565,0.3842821,0.4067725,0.41894844,0.41367146,0.39338383,0.36825585,0.3467556,0.3309326,0.31770304,0.3047621,0.29498178,0.29335833,0.30206504,0.3178713,0.33554086,0.3510388,0.36087033,0.36241874,0.3549414,0.34366682,0.33531567,0.33388898,0.33669034,0.34041655,0.34468117,0.352626,0.36464015,0.37741002,0.38614509,0.38999465,0.39276597,0.40023267,0.41520417,0.43389264,0.4465456,0.44404662,0.42466477,0.39633146,0.3701216,0.35448286,0.35227606,0.36280897,0.38115415,0.39882806,0.405952,0.39773405,0.37654093,0.35052764,0.32950264,0.32299963,0.33590296,0.36449754,0.39515135,0.4135715,0.41394368,0.40239432,0.38968834,0.38261488,0.381618,0.38251007,0.38225463,0.38041794,0.38066307,0.38663784,0.39897743,0.4125664,0.42027462,0.41711035,0.40419042,0.38621143,0.3690519,0.3554145,0.3456377,0.33826527,0.33376327,0.33397785,0.3400214,0.34947988,0.35757425,0.3612003,0.36065277,0.35855854,0.358333,0.36336747,0.3762169,0.3945465,0.4113762,0.41957048,0.4190137,0.41595384,0.41661474,0.42279422,0.43273517,0.44452533,0.45365867,0.45439956,0.44061983,0.4135642,0.37924317,0.34842202,0.33125213,0.337916,0.37182117,0.42422977,0.47297406,0.49511397,0.48198834,0.44518578,0.4058155,0.37967348,0.36830434,0.36326143,0.35450053,0.33963075,0.32343444,0.31426382,0.31631804,0.3309739,0.3578495,0.39492786,0.4327912,0.45543048,0.45110342,0.4222516,0.38453567,0.35316476,0.33476987,0.32773924,0.329398,0.33846244,0.35372666,0.37172768,0.3863028,0.39174232,0.38687828,0.378029,0.37488827,0.3829219,0.39856443,0.41365016,0.42329466,0.4282442,0.43189558,0.43605864,0.4432412,0.4538006,0.46456686,0.46525905,0.4492208,0.41940796,0.38999212,0.37307057,0.3732723,0.38790822,0.41357437,0.44440982,0.46996558,0.4784803,0.4662911,0.44181898,0.4191098,0.40714478,0.40685987,0.4128416,0.41957387,0.4219251,0.41900882,0.41176125,0.4040068,0.39841476,0.39876592,0.40638044,0.4183055,0.4246775,0.41593075,0.39108095,0.35923672,0.3329856,0.31992796,0.32248735,0.33748665,0.3589706,0.37701502,0.38516223,0.38233975,0.37539932,0.37121806,0.37424555,0.38373113,0.39655313,0.40778401,0.41291365,0.41087034,0.40518844,0.4027847,0.40869054,0.42449674,0.44735476,0.47164354,0.4898417,0.49577513,0.48846924,0.47183517,0.45163217,0.4313459,0.41383556,0.40168574,0.39641795,0.39426398,0.3894898,0.37909174,0.3678631,0.36242703,0.36603996,0.3742365,0.37940285,0.374722,0.35850585,0.33502242,0.31213093,0.2980472,0.29625797,0.3061379,0.32141888,0.3341824,0.3362507,0.32589248,0.30784002,0.29072177,0.28001964,0.27667663,0.27945128,0.287547,0.30011865,0.31421125,0.32671952,0.3360593,0.34404886,0.3526568,0.36295465,0.3743032,0.38478258,0.39194906,0.39270508,0.3876358,0.37949252,0.37330022,0.3712058,0.37456688,0.3830563,0.39422286,0.40202665,0.40015423,0.38904357,0.37583765,0.36885467,0.36875045,0.3708122,0.3701853,0.3671761,0.36261654,0.35576484,0.344403,0.32966828,0.31524786,0.3047843,0.29909658,0.29692328,0.29580203,0.29349414,0.28877714,0.28309447,0.27963212,0.28271437,0.29553214,0.318065,0.34467348,0.36576864,0.37416062,0.37100855,0.36320233,0.35680553,0.3507347,0.3428689,0.3333516,0.32863104,0.33344242,0.34917846,0.3710542,0.39299273,0.40999404,0.4206759,0.42783514,0.4337729,0.43885866,0.4381155,0.42954573,0.4150308,0.40397537,0.40437886,0.42125806,0.44987002,0.47876763,0.4912049,0.47842464,0.44454038,0.40643415,0.37870035,0.36634448,0.36566785,0.37357175,0.3892727,0.41028166,0.42874297,0.43647552,0.42960703,0.4125495,0.39306378,0.3811529,0.38115874,0.39144656,0.40196642,0.4041816,0.39451447,0.37845048,0.36352876,0.35760772,0.36254048,0.37463942,0.38327992,0.37970182,0.36266863,0.3403833,0.32280314,0.31496045,0.3172667,0.32860658,0.34816408,0.3727485,0.3966798,0.41337863,0.4175836,0.40724036,0.38584623,0.3646641,0.35522005,0.36099562,0.37137708,0.37478673,0.36792934,0.3606143,0.36363217,0.38172615,0.40980697,0.43600783,0.4479233,0.43969765,0.41753492,0.39331755,0.3770405,0.3712888,0.37672937,0.39385942,0.42073286,0.44831333,0.46310425,0.45675847,0.43122637,0.39787015,0.3687487,0.35153377,0.34657094,0.3483766,0.34838143,0.33944416,0.32097545,0.30016622,0.28939736,0.29788896,0.32463148,0.356058,0.374185,0.36995733,0.3501006,0.33121395,0.32405642,0.32757434,0.33353987,0.3397304,0.3483127,0.36088237,0.36949167,0.36642134,0.34917948,0.3267381,0.30817544,0.29880014,0.29541922,0.2943754,0.2941171,0.2977144,0.30707636,0.32040915,0.33086702,0.33224475,0.3232508,0.31077066,0.30478036,0.31141815,0.32808888,0.34564376,0.35685733,0.35938445,0.35662663,0.35011122,0.33983555,0.32433584,0.30691433,0.29454932,0.29383838,0.30452272,0.31813136,0.32353184,0.31443742,0.29444632,0.27464244,0.26579356,0.27058232,0.28186634,0.28956857,0.28859082,0.28210613,0.27714586,0.27916595,0.2889715,0.3040745,0.32001877,0.3322027,0.33574808,0.32885525,0.31459823,0.3017619,0.2985362,0.30723837,0.32322523,0.339756,0.35216686,0.35826632,0.35792944,0.35317624,0.34808037,0.34676227,0.35070336,0.3578209,0.36289403,0.36054167,0.34936488,0.3345381,0.32444736,0.32450226,0.33219883,0.34206235,0.34936926,0.35575318,0.36178508,0.3665756,0.36408737,0.3512119,0.32815614,0.29943326,0.26979968,0.24319227,0.22268061,0.20969097,0.20337872,0.20071955,0.19775397,0.19236892,0.18432666,0.17614107,0.1700265,0.1678803,0.16897227,0.17164956,0.17345218,0.1742912,0.17617618,0.1828763,0.19546235,0.21157391,0.22520441,0.23246072,0.23331754,0.23252535,0.23378444,0.23768032,0.24168782,0.2445397,0.24666883,0.24844849,0.24767132,0.24182928,0.23061441,0.21793137,0.20861042,0.20641433,0.21145715,0.22178757,0.23408246,0.24522974,0.25305307,0.25639522,0.2564437,0.25467312,0.2537975,0.25485376,0.2599279,0.2693993,0.28275695,0.29547632,0.30238977,0.30013227,0.28976652,0.27413252,0.25553593,0.23529048,0.21589078,0.20080255,0.19217247,0.18854998,0.1862868,0.18321846,0.18037479,0.1798569,0.18129353,0.18114342,0.17660792,0.1687736,0.16342519,0.16600597,0.1779167,0.1941145,0.20705241,0.2112376,0.20671938,0.19777401,0.18953192,0.18588178,0.18823372,0.1958221,0.20535809,0.21376558,0.21947463,0.22316241,0.22463582,0.2227615,0.21656872,0.20816405,0.20131904,0.19896649,0.20084126,0.2046327,0.20795333,0.20966162,0.20995282,0.20959716,0.20970826,0.21063559,0.21226998,0.21349889,0.21342719,0.21100326,0.20609246,0.19897805,0.19075249,0.18223877,0.17409444,0.16666836,0.1606685,0.15680285,0.15562873,0.15722583,0.16159995,0.16858964,0.17794065,0.18900578,0.20065157,0.21078001,0.21630146,0.21501319,0.20724142,0.19699968,0.18859304,0.1844784,0.18339406,0.18342863,0.18441434,0.18936266,0.20164175,0.220542,0.23974037,0.25110406,0.2517248,0.24620627,0.24231976,0.2437473,0.24805908,0.25045452,0.24917613,0.24657609,0.24667315,0.25189903,0.26260006,0.27731052,0.2929417,0.30433133,0.30564082,0.29436862,0.2736892,0.25204813,0.2375191,0.2344622,0.24185635,0.2555972,0.2705396,0.28179067,0.28639606,0.2833682,0.27478853,0.2643399,0.25619614,0.25295746,0.2537862,0.25578701,0.25475416,0.24961902,0.24092658,0.2318673,0.2242139,0.2202399,0.2206371,0.22655363,0.23729563,0.25169936,0.26565695,0.27377155,0.27080908,0.2580358,0.24285774,0.2350235,0.23734324,0.24535899,0.25066736,0.24942453,0.24347329,0.23888868,0.24032831,0.2488846,0.26252273,0.2782118,0.2926103,0.30150497,0.3014233,0.29279134,0.28085965,0.27227423,0.2703931,0.27470097,0.28201464,0.28912833,0.29235676,0.29073095,0.2845476,0.2765526,0.2664636,0.25440872,0.24034457,0.22877419,0.22293878,0.22379774,0.22667752,0.22649343,0.21991585,0.20801647,0.19437695,0.18267202,0.17477329,0.17019077,0.16837339,0.1690228,0.17201322,0.17570432,0.17829865,0.1794969,0.18107907,0.18548836,0.19354056,0.20407458,0.21315221,0.21667206,0.21194577,0.20183682,0.19272189,0.19248396,0.20402648,0.22444622,0.24539359,0.2598956,0.26624238,0.26803097,0.26849976,0.26692805,0.26128998,0.2523039,0.24556446,0.24728727,0.26072156,0.28166184,0.30076012,0.30769077,0.29989043,0.2827204,0.26695308,0.26031855,0.2664215,0.2826794,0.30268502,0.31683907,0.31765723,0.3043474,0.28356063,0.2650838,0.25459838,0.25184062,0.25150704,0.24851893,0.23990417,0.2265445,0.21163417,0.19975632,0.19453293,0.19697456,0.20475186,0.21326073,0.21832043,0.2175973,0.21148698,0.20177889,0.19168536,0.18457352,0.18399318,0.19112961,0.20396481,0.21656342,0.22305721,0.22115068,0.21448196,0.20973241,0.21213812,0.22173893,0.23373686,0.2420234,0.24337554,0.23873949,0.23195617,0.22711043,0.2271809,0.23273422,0.2421416,0.25196198,0.25927448,0.26225314,0.26056704,0.2546313,0.24589515,0.23693265,0.22995315,0.22590053,0.22366996,0.22198093,0.21967395,0.21598993,0.2098695,0.20085387,0.18976961,0.17860915,0.16946138,0.16359907,0.16143268,0.16202103,0.1635137,0.16372292,0.16218543,0.16002673,0.15879528,0.15863125,0.15882008,0.15924424,0.16052836,0.16276056,0.1645263,0.16430049,0.16179459,0.15837045,0.15548937,0.15426297,0.15504365,0.1580318,0.1625983,0.16723041,0.16940339,0.16692533,0.15966022,0.15022944,0.14258732,0.1388173,0.13830052,0.13883215,0.13950266,0.14033125,0.1413515,0.14153357,0.14031768,0.13855104,0.13778724,0.13874872,0.14048038,0.14142294,0.14028542,0.13689022,0.1323589,0.12879275,0.1280995,0.13030833,0.13374235,0.13616802,0.1367336,0.13551967,0.13312227,0.12950356,0.124785334,0.11898991,0.112717986,0.10679206,0.10274581,0.10184827,0.10422463,0.10835475,0.11227279,0.11481017,0.115677,0.11464184,0.111671396,0.107575335,0.10414066,0.1024312,0.10207623,0.101837665,0.10161521,0.10226673,0.10446218,0.10714581,0.10868359,0.108085446,0.10625406,0.10466207,0.10462737,0.105877966,0.10729537,0.10749629,0.10660664,0.105979525,0.106954545,0.1091628,0.11116157,0.111995466,0.11240164,0.113344945,0.11511874,0.116649754,0.11737817,0.11722335,0.116743214,0.11569256,0.1138869,0.11164478,0.110402964,0.11129104,0.114255495,0.11791652,0.12074027,0.122103244,0.12233651,0.1223296,0.12232075,0.12204242,0.12071899,0.11826569,0.11490568,0.11131969,0.10822854,0.10676324,0.107888944,0.11146159,0.11604648,0.11995113,0.12273859,0.124982,0.12691648,0.12741037,0.12482119,0.118795685,0.11121907,0.10525686,0.10328064,0.10537479,0.10998762,0.11558652,0.12200501,0.12959987,0.1382454,0.14671127,0.15379141,0.1589628,0.16266389,0.16567995,0.16869271,0.17203404,0.17540284,0.1780443,0.17879243,0.17680795,0.1717329,0.16421291,0.15548612,0.14705813,0.14001806,0.13493645,0.132282,0.13200979,0.13349144,0.13478947,0.13459724,0.13256858,0.13030122,0.12881474,0.1286928,0.12904602,0.12948993,0.12957412,0.12989756,0.13088779,0.13278824,0.13439752,0.13403766,0.13079613,0.12581867,0.1213854,0.119012006,0.11845528,0.11839252,0.11779076,0.11647416,0.11486819,0.1138666,0.11433082,0.116790324,0.12061276,0.12477195,0.12862271,0.13227566,0.13542213,0.13642092,0.13369088,0.12724847,0.11939774,0.11220517,0.10668788,0.10308031,0.10304606,0.10823792,0.11808724,0.12802431,0.1327489,0.13003053,0.12244774,0.11472381,0.110493064,0.11113414,0.11608487,0.12376982,0.1314346,0.13647358,0.13713665,0.13379417,0.12789662,0.1216658,0.116696306,0.113865495,0.1125296,0.11175734,0.11111983,0.11171361,0.114665456,0.12000215,0.12595332,0.130336,0.13189228,0.13086551,0.12875085,0.12715988,0.12731421,0.12912326,0.13149522,0.13243103,0.13013999,0.12389826,0.11489149,0.10564831,0.099232145,0.0979679,0.10387129,0.116824724,0.13420467,0.14923914,0.15567577,0.15073854,0.13823815,0.12451568,0.1151804,0.1126729,0.11747379,0.12849993,0.14252752,0.15400223,0.15800875,0.15337989,0.14393851,0.13475911,0.12972833,0.13008039,0.13627163,0.14696203,0.1587562,0.16625352,0.16596699,0.1584331,0.1477171,0.13786213,0.13079327,0.12642463,0.123619914,0.12112379,0.11796201,0.11433952,0.11115974,0.109220706,0.108228706,0.107407965,0.106138945,0.1044426,0.10280489,0.10207268,0.10280865,0.104350366,0.10490201,0.10285089,0.09869743,0.0946731,0.09337429,0.09569945,0.101230346,0.10883545,0.11821464,0.12874328,0.13900696,0.14550911,0.14547567,0.13827102,0.12700257,0.115559846,0.10743502,0.10449225,0.10857435,0.11973218,0.13520324,0.14807583,0.15212204,0.14546858,0.13263592,0.11995857,0.11190035,0.10972274,0.11324801,0.121462554,0.13152243,0.13907205,0.14075243,0.13670403,0.13000377,0.12381808,0.119698405,0.11772191,0.117646456,0.11898798,0.121144496,0.12343105,0.12544945,0.12673692,0.12656957,0.12442274,0.12062734,0.1168168,0.114652745,0.11508945,0.11738074,0.120036356,0.120931156,0.11872008,0.11324057,0.10679784,0.10253192,0.1025636,0.10598489,0.11071739,0.11629213,0.124205835,0.13538007,0.14687161,0.15403448,0.15364718,0.14708954,0.1379505,0.13012578,0.12611686,0.12774633,0.13503082,0.14554633,0.1545686,0.15828824,0.1557106,0.1489721,0.14100778,0.13476737,0.13267368,0.13670976,0.14629917,0.15769416,0.16454285,0.16227257,0.1506284,0.1342919,0.11916586,0.10907022,0.10433021,0.102766156,0.10227454,0.10164895,0.10151992,0.10241737,0.104490675,0.10618219,0.10588887,0.10264174,0.09734273,0.09191757,0.088377595,0.087853044,0.09011405,0.09374816,0.09657707,0.09723023,0.096092306,0.09520781,0.0962482,0.099345855,0.10356622,0.10900047,0.116551526,0.12636445,0.13553725,0.14010671,0.13763002,0.12961064,0.11953788,0.11118444,0.10724667,0.11007785,0.12011105,0.13464089,0.1469412,0.15093061,0.14477749,0.1330899,0.12227141,0.11699945,0.11814686,0.12506765,0.13631092,0.14946364,0.16033857,0.16498965,0.16198623,0.15327723,0.14229374,0.13171044,0.12305518,0.11675496,0.11323992,0.11222448,0.113492884,0.11607447,0.11895981,0.12060139,0.11993746,0.11652475,0.110957325,0.10448193,0.09879828,0.09546823,0.09506119,0.0966708,0.0985915,0.099911414,0.1013313,0.1041208,0.10853297,0.11351556,0.118527114,0.12507719,0.13566642,0.15101065,0.16762738,0.17978539,0.1830393,0.17795628,0.16884589,0.16071653,0.15607272,0.15543416,0.15802945,0.16223498,0.16486606,0.16342704,0.15788056,0.15122522,0.14613868,0.14392926,0.1447947,0.14992076,0.15945256,0.17122883,0.17981525,0.18096401,0.17354412,0.16095416,0.14722352,0.13569334,0.12723064,0.12191957,0.11906421,0.11825836,0.118885495,0.12031137,0.121503145,0.1214008,0.11947661,0.11602142,0.11199715,0.10828746,0.105493486,0.10380278,0.10311561,0.10285771,0.10227124,0.10108769,0.10007098,0.10026043,0.10175887,0.10359833,0.10530553,0.108289786,0.11450574,0.12401315,0.13328765,0.13780488,0.13496013,0.126396,0.11605495,0.10832811,0.105976574,0.11071231,0.122200675,0.13790613,0.15189411,0.15809177,0.15324457,0.14015405,0.124897875,0.11360309,0.10910732,0.11206973,0.120964445,0.1326436,0.14146726,0.14303376,0.13635622,0.12561011,0.11582982,0.1105422,0.10957108,0.110890865,0.11178243,0.11081927,0.108430676,0.10622268,0.105415545,0.105583705,0.10537964,0.103696294,0.100613125,0.09704876,0.09393993,0.091703705,0.09019408,0.089096434,0.08827704,0.08783135,0.08842649,0.090782315,0.095328264,0.10109269,0.10677633,0.112196974,0.11928869,0.12991823,0.14293958,0.15393277,0.15835525,0.15499407,0.14623894,0.13601483,0.12815265,0.12578161,0.13034092,0.14028917,0.15093796,0.15745749,0.15730166,0.15164365,0.14321531,0.13553663,0.13150407,0.13377248,0.14239536,0.15445079,0.1636086,0.16461588,0.15565453,0.14031117,0.123954855,0.11116622,0.103230625,0.09918627,0.097161554,0.09596989,0.09540882,0.09584973,0.09717363,0.098533474,0.09843818,0.09616982,0.092066176,0.08774092,0.084723175,0.083999395,0.08546034,0.08823028,0.090829544,0.09201506,0.09163502,0.09083628,0.09098202,0.09245235,0.09477077,0.09804229,0.10342919,0.11166849,0.12081808,0.12675141,0.12609755,0.11917243,0.10938587,0.10085249,0.09654849,0.09857104,0.10763898,0.12189945,0.13577642,0.142757,0.13923137,0.12749846,0.11358004,0.103632174,0.10065755,0.10500705,0.11495676,0.12767304,0.1386321,0.1437872,0.14122379,0.1329421,0.12274009,0.114058554,0.10831613,0.10527977,0.10433986,0.10489302,0.10693284,0.110018305,0.11326236,0.11483186,0.11332632,0.10854616,0.101872034,0.095217526,0.09003765,0.086934,0.08566467,0.08533157,0.08480189,0.08372185,0.08328823,0.08564532,0.09208282,0.101648845,0.11213383,0.122429974,0.13384175,0.14797755,0.1635869,0.17585059,0.18002082,0.1753342,0.16533239,0.1546381,0.14634286,0.14222625,0.14302956,0.14787066,0.15318227,0.15513931,0.15214638,0.14603345,0.13951342,0.13488482,0.13384986,0.13856845,0.14973836,0.16477104,0.17716663,0.1810217,0.17466629,0.16223341,0.14935541,0.13976039,0.1333722,0.12871434,0.12466499,0.12142941,0.119084485,0.11683028,0.11337045,0.108625375,0.104222775,0.1019906,0.102306455,0.10395678,0.10583725,0.10751032,0.10885503,0.10945477,0.10948628,0.11035832,0.11378423,0.12016249,0.12796505,0.13539594,0.14176233,0.14796759,0.15506808,0.16285492,0.16906612,0.17040358,0.16515826,0.15466352,0.14285141,0.1333637,0.12855743,0.1296975,0.13765267,0.1514682,0.16706997,0.17843215,0.18092994,0.17376858,0.15985185,0.1440338,0.13182308,0.12776463,0.13329206,0.14538912,0.15759005,0.16430849,0.16369878,0.15860032,0.15316379,0.1504655,0.15088849,0.15318327,0.15560125,0.15692161,0.1569184,0.155954,0.15457498,0.15311883,0.15199368,0.15168983,0.15235788,0.15361732,0.1548456,0.15589778,0.15702738,0.15818723,0.15832292,0.155568,0.14869928,0.13847375,0.12765902,0.11932937,0.1154447,0.117257334,0.1261925,0.14276384,0.16431014,0.18452607,0.1975739,0.20183456,0.20070066,0.19866288,0.19843642,0.2006947,0.2052468,0.21136372,0.21687742,0.21899128,0.21614663,0.20912236,0.20043522,0.19225723,0.18669617,0.18527931,0.18925701,0.19720213,0.20536953,0.20905183,0.20590307,0.1968116,0.18461746,0.17208643,0.16070247,0.15127783,0.14393376,0.13864872,0.13466422,0.1316251,0.12950663,0.12901585,0.13016446,0.13213508,0.1336943,0.1342913,0.13419066,0.13356124,0.13238241,0.13081713,0.12987266,0.1306438,0.13337106,0.13739334,0.14169006,0.14572722,0.14942455,0.15375328,0.16051489,0.17078918,0.18291117,0.19213109,0.19441621,0.18914421,0.1796171,0.16931929,0.16080476,0.15593399,0.15714718,0.16508025,0.17646666,0.18469872,0.18468863,0.1763436,0.16414537,0.15317082,0.14656909,0.1453042,0.14878075,0.1547494,0.15941997,0.15958469,0.15453096,0.14655946,0.13869315,0.13312148,0.13049932,0.1307535,0.13304736,0.1359836,0.13775544,0.13737309,0.13519263,0.1330235,0.13253172,0.13413768,0.13657893,0.13829435,0.13885342,0.1389401,0.13956201,0.14066224,0.14166097,0.14176933,0.14124383,0.14115989,0.14316106,0.14813232,0.15620558,0.16751166,0.1836019,0.20581801,0.23291326,0.2590131,0.2773781,0.2846841,0.2836695,0.27932343,0.27440917,0.26803282,0.25869972,0.24771601,0.23871727,0.23448224,0.2344693,0.23556487,0.2348667,0.23138022,0.2262798,0.2216134,0.21923955,0.22016329,0.22467105,0.23234558,0.24103354,0.24708384,0.24713625,0.24152781,0.2339925,0.22887284,0.2275772,0.22867608,0.22992182,0.23008169,0.2290557,0.22731584,0.22513767,0.22258858,0.21896952,0.21353124,0.20545016,0.19493699,0.18312062,0.17225094,0.16497737,0.16314845,0.1668551,0.17386688,0.18145746,0.18780635,0.19342148,0.19919538,0.20500545,0.20879285,0.2090547,0.20680232,0.20523687,0.20696808,0.211614,0.21691114,0.22119844,0.22501768,0.23014446,0.2365533,0.24183418,0.24186419,0.23568745,0.22586448,0.21784006,0.21422046,0.21476369,0.2168123,0.21919738,0.2212605,0.22306828,0.22435759,0.22600074,0.22865553,0.23202012,0.2341391,0.23331897,0.22943611,0.22372901,0.21804546,0.21331292,0.20970635,0.20542313,0.19894649,0.18974335,0.18084973,0.17614478,0.17871146,0.18802792,0.2013974,0.21512586,0.22600065,0.23146655,0.23038761,0.22397192,0.21609883,0.21097396,0.21048732,0.2124476,0.21336006,0.21096689,0.20660251,0.20355809,0.2061954,0.21679302,0.23394458,0.25128254,0.26159775,0.26159593,0.25448492,0.24683677,0.24392474,0.2471577,0.25482082,0.26380977,0.2714921,0.27598527,0.27663353,0.27295777,0.26534116,0.2550161,0.24491443,0.23819883,0.2371527,0.24131207,0.24784487,0.25205684,0.2504042,0.24209154,0.23009108,0.21848166,0.21008675,0.20513855,0.2025977,0.20173508,0.20231552,0.20404726,0.20585781,0.20660488,0.20531373,0.20186566,0.1967563,0.19151683,0.18762411,0.1856779,0.18443851,0.18234694,0.17926548,0.17717864,0.17839222,0.18357503,0.19185497,0.2021147,0.21348244,0.22451542,0.23356701,0.24014612,0.2456677,0.25097045,0.25515145,0.25584257,0.2529162,0.24806063,0.24402826,0.2419313,0.24309985,0.248212,0.25687388,0.26462695,0.26661584,0.2609763,0.2517543,0.24360079,0.23812962,0.23346092,0.22926074,0.2277128,0.23054732,0.23544781,0.2381965,0.23706996,0.23408528,0.23163016,0.22939949,0.22568537,0.22017808,0.21497916,0.2121711,0.21230668,0.21424101,0.21681161,0.21894373,0.22038408,0.22163756,0.2243743,0.22924417,0.2342877,0.23510754,0.22810918,0.21355964,0.19546938,0.17922603,0.16839194,0.16391638,0.16483736,0.16937356,0.17550564,0.18031973,0.18116546,0.17649168,0.16756363,0.15750813,0.14988844,0.14696619,0.14939128,0.15641052,0.16620971,0.17587526,0.18279381,0.18554598,0.18483353,0.18198657,0.1785392,0.17620774,0.17724365,0.18272205,0.19060989,0.19606352,0.1952764,0.18824373,0.17877507,0.17047481,0.1649367,0.16144001,0.15919238,0.15759672,0.1562866,0.15466963,0.15213053,0.14843482,0.14369886,0.13877052,0.13441439,0.13100843,0.12815617,0.12613554,0.12629068,0.13021214,0.13748403,0.14539705,0.15062623,0.15156196,0.14877969,0.14403944,0.13953255,0.13770042,0.14121544,0.15122801,0.16604994,0.18087222,0.19059299,0.19245146,0.187424,0.1787527,0.17025532,0.16503625,0.16532296,0.17125241,0.18040693,0.18782623,0.1895311,0.18449555,0.17564557,0.16638827,0.159018,0.15376009,0.15083902,0.15031782,0.15196878,0.15422724,0.15581612,0.15646777,0.15729584,0.15872936,0.16027595,0.16077115,0.16020584,0.15909803,0.15809377,0.15678038,0.15497883,0.15288675,0.15136898,0.15051667,0.1498587,0.14874856,0.14738338,0.14629483,0.14586262,0.14585482,0.14555681,0.14413118,0.14086384,0.13662755,0.13349783,0.13425559,0.13945575,0.14780976,0.15705024,0.16598691,0.17404865,0.18006928,0.18248044,0.1801066,0.17399438,0.1667283,0.16188556,0.16193187,0.16777013,0.17761736,0.18797189,0.19432579,0.19434439,0.1886941,0.18122356,0.17527251,0.1726597,0.17310326,0.17666708,0.18262337,0.1891611,0.1924163,0.18982358,0.18153046,0.17082585,0.16116168,0.1547838,0.15195195,0.15147072,0.15121414,0.14955796,0.14670093,0.14432783,0.14370377,0.14429595,0.14442284,0.14301725,0.14003783,0.13618144,0.13195889,0.12813295,0.12520613,0.12354636,0.12280198,0.12271734,0.12338171,0.12566026,0.13040935,0.13780408,0.14673524,0.15574919,0.16390812,0.17116737,0.17702876,0.18005784,0.17861116,0.17262085,0.16403647,0.15590616,0.15102427,0.15134025,0.1571899,0.16676472,0.1759241,0.1805074,0.17865844,0.1719803,0.16357495,0.1562805,0.15194781,0.15224385,0.15775712,0.16698551,0.17577021,0.18014485,0.17866217,0.17332298,0.1671369,0.16228455,0.15938848,0.15879671,0.16091716,0.16596502,0.17249338,0.17797518,0.18018949,0.17939128,0.17748088,0.17622678,0.1755271,0.1741637,0.17111367,0.1665272,0.16157176,0.15752846,0.15480417,0.15251769,0.14971273,0.1464902,0.14431392,0.14443778,0.14718486,0.15214866,0.15907456,0.16737904,0.175116,0.17913543,0.17711085,0.1696078,0.16032636,0.15382917,0.15334861,0.15910567,0.16896157,0.17932756,0.1871255,0.19066288,0.18997896,0.18607388,0.18012263,0.1736338,0.16869211,0.1681497,0.17326002,0.18217029,0.1894315,0.19023152,0.18317652,0.17146112,0.15920644,0.14946364,0.1431532,0.1403952,0.14046748,0.14210363,0.1437167,0.1444382,0.14415036,0.14304127,0.14097844,0.13771743,0.1333775,0.12859717,0.124279656,0.12106788,0.119152546,0.11826462,0.117922634,0.11762168,0.11700528,0.115965806,0.11482346,0.11436925,0.115820915,0.12033057,0.12814154,0.13773113,0.14583007,0.14896576,0.14578694,0.13806121,0.1295672,0.12349824,0.121480696,0.123964936,0.13096768,0.14123155,0.15124549,0.15655674,0.15474136,0.14767738,0.14004202,0.13621819,0.13797267,0.14492553,0.15512417,0.1655841,0.17217253,0.17199428,0.1649066,0.15441646,0.14477567,0.13897799,0.13716702,0.13777618,0.13871168,0.13865753,0.13739698,0.13544859,0.13368124,0.13288681,0.13357805,0.13545775,0.13745834,0.13818271,0.13680057,0.13336934,0.12878583,0.12413854,0.120269835,0.11747744,0.11634413,0.11785733,0.12312663,0.13161333,0.14137076,0.15033294,0.15833418,0.1663232,0.17452864,0.18106659,0.18350135,0.18080066,0.17464812,0.16843729,0.16561949,0.16829097,0.17588656,0.18568939,0.1931379,0.19507255,0.19080901,0.18346596,0.17669682,0.17309214,0.17270558,0.17519821,0.17991757,0.18563725,0.18929453,0.18812495,0.18157344,0.17219175,0.16309929,0.15624309,0.15176576,0.14902504,0.1470922,0.14529626,0.14348142,0.14209926,0.14135776,0.14090917,0.13995136,0.13816123,0.13557959,0.13244754,0.12891106,0.12535097,0.12231802,0.1201739,0.11891847,0.11834098,0.11854044,0.1199908,0.12349134,0.1294511,0.13747197,0.1463482,0.15509804,0.16314827,0.17000741,0.17411546,0.17401241,0.16932477,0.1619898,0.15457915,0.14942093,0.1476953,0.14996967,0.15553515,0.16215438,0.16642864,0.16594903,0.16055767,0.15230556,0.14381476,0.13748509,0.13515256,0.1376877,0.14417826,0.15172814,0.15715557,0.15882355,0.15740484,0.15446627,0.15118465,0.14817856,0.14638941,0.14732072,0.1518262,0.15876232,0.16485995,0.1671313,0.16507699,0.16120465,0.15833025,0.1574697,0.15750547,0.15687294,0.15499,0.1522487,0.15048343,0.15252088,0.16282259,0.18422534,0.21514781,0.24646099,0.26594183,0.26510692,0.24500452,0.21420549,0.18226539,0.15505756,0.13464569,0.12265486,0.121964194,0.13452792,0.1588106,0.18755013,0.21233685,0.22626229,0.22865085,0.22238098,0.21312107,0.2053225,0.20193644,0.20325734,0.20781265,0.2133239,0.21813814,0.22201659,0.22541396,0.22837764,0.23024416,0.2304427,0.2293303,0.22687775,0.22248964,0.21502502,0.2056308,0.19675036,0.1912859,0.18982582,0.19168435,0.19506718,0.19807638,0.19874378,0.19603424,0.19063134,0.1842152,0.17842752,0.17376667,0.1700487,0.16694833,0.16432416,0.1621149,0.15955862,0.15500128,0.14604767,0.13116448,0.11099679,0.088524014,0.06745138,0.05031638,0.037783902,0.029180065,0.023416637,0.019516246,0.01676331,0.014693905,0.013014442,0.011534077,0.010128283,0.008759686,0.0074536502,0.0062621,0.0052357516,0.0044240924,0.003855994,0.003514785,0.003332656,0.0032291266,0.0031395538,0.0030337956,0.002901071,0.002743642,0.0025643671,0.0023674963,0.0021583952,0.0019470368,0.0017484609,0.0015811553,0.0014613162,0.0013944801,0.0013693891,0.0013618236,0.0013455119,0.0013043574,0.0012360769,0.0011498708,0.0010592762,0.0009766201,0.0009084346,0.0008543562,0.0008084806,0.00076370296,0.00071639335,0.00066955836,0.0006318441,0.000613343,0.0006195442,0.0006476838,0.0006865694,0.0007205433,0.0007347853,0.00072055956,0.00067837327,0.00061830104,0.0005567276,0.00051048404,0.00049074646,0.000499163,0.0005277108,0.00056194817,0.00058638706,0.0005897987,0.0005682951,0.00052544323,0.00047021863,0.00041430522,0.00036914437,0.0003423963,0.0003351333,0.0003412631,0.00035076519,0.00035414123,0.00034610007,0.00032625537,0.00029816478,0.00026732785,0.00023933688,0.00021814706,0.0002051129,0.00019886876,0.0001962821,0.000193789,0.00018881237,0.0001804596,0.00016956554,0.00015788438,0.0001471702,0.0001384487,0.00013191004,0.00012714478,0.00012356236,0.0001207077,0.000118332515,0.000116212235,0.00011391738,0.00011095197,0.00010703687,0.000102382626,9.744957E-05,9.2714305E-05,8.8465145E-05,8.490981E-05,8.222614E-05,8.0438294E-05,7.931902E-05,7.8263205E-05,7.660213E-05,7.379489E-05,6.9829206E-05,6.512936E-05,6.0458147E-05,5.6459656E-05,5.345327E-05,5.135978E-05,4.98638E-05,4.8568996E-05,4.703474E-05,4.493121E-05,4.2168427E-05,3.9016813E-05,3.593616E-05,3.331914E-05,3.1328065E-05,2.9863011E-05,2.8698234E-05,2.7556103E-05,2.6253389E-05,2.4708346E-05,2.2956066E-05,2.108394E-05,1.9216175E-05,1.7492644E-05,1.6012209E-05,1.4786413E-05,1.3721382E-05,1.269894E-05,1.164509E-05,1.05711815E-05,9.531127E-06,8.580099E-06,7.72683E-06,6.945376E-06,6.1838055E-06,5.4086654E-06,4.606167E-06,3.7905154E-06,2.987577E-06,2.240611E-06,1.6109129E-06,1.1702812E-06,9.822478E-07]