[0.000296856,0.0003017179,0.00032023515,0.00036224033,0.00042894782,0.0005109972,0.0005947686,0.000674815,0.0007579578,0.00085836835,0.0009877164,0.0011497997,0.0013368622,0.0015313764,0.0017081805,0.0018541565,0.0019996346,0.0022294337,0.0026586435,0.0033295255,0.004190413,0.0050828313,0.005921487,0.006974111,0.009436795,0.015559293,0.027503824,0.045037504,0.06429533,0.07971146,0.08796676,0.0903747,0.09135046,0.09524316,0.10405648,0.11809075,0.13688736,0.16013797,0.1865732,0.21303435,0.23441048,0.24541835,0.24326815,0.22899216,0.20800291,0.18843955,0.17851989,0.18220395,0.19745772,0.21786468,0.2376814,0.25456318,0.26923713,0.28273878,0.29539207,0.30863094,0.32667145,0.35850093,0.4102138,0.47924808,0.5440443,0.5794122,0.5693032,0.5271483,0.47934994,0.45071188,0.4448836,0.4533572,0.4649122,0.47416094,0.479789,0.48023,0.47345933,0.45784155,0.43632483,0.41809878,0.41529825,0.43624422,0.4771484,0.52662796,0.57258683,0.6129632,0.6492887,0.6795334,0.6898498,0.66669375,0.60993034,0.5417498,0.49284288,0.48561177,0.5204739,0.5795181,0.63482594,0.6641805,0.66003245,0.6319191,0.59252304,0.54662895,0.4895507,0.4201021,0.34881637,0.2964423,0.28308204,0.31646895,0.3839604,0.45458326,0.49455747,0.48601747,0.4357855,0.3657911,0.29939866,0.2507697,0.22688167,0.23058696,0.264428,0.3258913,0.40433225,0.48138276,0.5413615,0.5771983,0.5895987,0.5776519,0.5378476,0.46939418,0.38247585,0.29569992,0.22745074,0.18689431,0.17356908,0.18087679,0.19997752,0.21980666,0.2293012,0.22125451,0.19826446,0.17166488,0.15605402,0.15787359,0.1713364,0.18046832,0.17306852,0.14859203,0.11910921,0.09800314,0.093642384,0.10724342,0.13759257,0.18220423,0.24021773,0.30926868,0.38560483,0.45993432,0.52603793,0.58157164,0.62991023,0.6652668,0.67590934,0.65078133,0.597947,0.53770655,0.48990944,0.45781156,0.43255877,0.40341452,0.3667445,0.32586625,0.28789446,0.2603052,0.24833554,0.2501234,0.25735396,0.258629,0.24988234,0.23530877,0.22459722,0.22300051,0.23032312,0.24200892,0.25435206,0.26437083,0.2707329,0.2721859,0.27135372,0.27580568,0.30146196,0.36044678,0.45086622,0.5445989,0.60684824,0.6157743,0.5832431,0.53762066,0.50457025,0.4887114,0.48229107,0.47657636,0.47029614,0.46735623,0.47063744,0.47812605,0.4814618,0.47305167,0.45441625,0.43920314,0.44348392,0.47137704,0.5135494,0.5558192,0.59301454,0.62580067,0.6535878,0.664568,0.6460111,0.5953478,0.5319047,0.48461196,0.47885385,0.51774997,0.58374995,0.6423483,0.6662605,0.6471207,0.6026878,0.5514838,0.5002313,0.4386877,0.36369705,0.28807017,0.24063115,0.24568398,0.3070307,0.400201,0.48346165,0.52254623,0.5070356,0.45238152,0.38108125,0.31433582,0.2665178,0.25291184,0.28503817,0.36415398,0.4706322,0.56710166,0.61899966,0.616165,0.58010405,0.54135853,0.515639,0.49263778,0.45282188,0.38672808,0.304913,0.22764044,0.17160986,0.14195031,0.13677476,0.15060781,0.17658472,0.20347865,0.22017354,0.21862239,0.19955538,0.16955101,0.14043061,0.12204193,0.11949116,0.12905334,0.14336072,0.15557343,0.1641502,0.17129777,0.18136524,0.19671686,0.21611995,0.23388714,0.24409337,0.24285312,0.23077434,0.2109925,0.18957953,0.17226277,0.16291416,0.16049142,0.16180722,0.1637028,0.16611433,0.17079856,0.18013227,0.19422829,0.21042384,0.22386186,0.23021404,0.22808318,0.22038786,0.21415652,0.2150672,0.22183816,0.22408848,0.21151221,0.18293904,0.14825757,0.12106272,0.111546256,0.124884486,0.15774633,0.19825506,0.22682981,0.22990721,0.2081721,0.181772,0.18075003,0.22781277,0.3215358,0.42851725,0.50722635,0.5320263,0.51318747,0.47746482,0.4491979,0.4347075,0.4295574,0.42692813,0.4236902,0.42136776,0.4237101,0.43226087,0.44244972,0.4453729,0.43652603,0.4211891,0.41176233,0.4162849,0.43510008,0.46365073,0.5010579,0.5451855,0.5872887,0.6088818,0.59572476,0.5503133,0.49477956,0.45709863,0.4549031,0.48518762,0.52750796,0.554365,0.55061716,0.51956457,0.47980344,0.44152352,0.40160608,0.3471594,0.27943724,0.21577461,0.1840229,0.20004416,0.25884917,0.33391318,0.39303005,0.41563258,0.4014361,0.3656743,0.32441548,0.2873037,0.25658718,0.23503809,0.22834307,0.2437483,0.28208992,0.33456174,0.38582218,0.4240589,0.44512475,0.45138896,0.44344282,0.42037728,0.38032672,0.3270838,0.2671844,0.21025735,0.16474603,0.13878016,0.13534285,0.15020281,0.17259204,0.19172765,0.2029761,0.20708007,0.20885561,0.21334235,0.22505659,0.24271257,0.25882936,0.2638891,0.25408483,0.23481613,0.2160694,0.20659964,0.20857705,0.21804512,0.22867166,0.23925662,0.2578621,0.2956836,0.35616517,0.42903504,0.49894452,0.5538385,0.5860986,0.58834916,0.5568278,0.50098586,0.44092014,0.39541778,0.36655262,0.3437566,0.31485066,0.2787958,0.24481322,0.2247833,0.22453924,0.24022628,0.26082316,0.2731177,0.2680634,0.24620973,0.21678399,0.19258676,0.18077482,0.18171082,0.1901073,0.20039977,0.20771074,0.20954789,0.20608014,0.20267747,0.21103215,0.2478085,0.3221359,0.42344308,0.5173575,0.56801325,0.56264263,0.5221181,0.48082408,0.46071467,0.46068835,0.46629524,0.46651718,0.4607413,0.45692134,0.46219262,0.47651687,0.48908737,0.48651567,0.46210656,0.42466915,0.3916196,0.3784063,0.3893833,0.4205631,0.46547946,0.5157141,0.5582441,0.5761907,0.5603132,0.51841825,0.4742473,0.45272884,0.46617165,0.5081446,0.5578308,0.58981466,0.58893347,0.5597091,0.5221634,0.49277902,0.4695108,0.43633208,0.3824357,0.31832436,0.27012402,0.26321027,0.30208847,0.36888424,0.43013975,0.4577717,0.43968537,0.38585377,0.31605697,0.2526576,0.21248543,0.21188696,0.26040432,0.3554509,0.4691964,0.5627932,0.6052573,0.5997428,0.5715122,0.54770666,0.5308547,0.50617266,0.45727777,0.38517985,0.30553272,0.23754205,0.19113715,0.1669002,0.16072488,0.16830234,0.18254961,0.19446255,0.19610478,0.1881777,0.17847271,0.17893352,0.19464658,0.2221567,0.24803598,0.26117718,0.25738537,0.2436074,0.22883181,0.2205825,0.22038394,0.22648452,0.23624825,0.2516739,0.28190437,0.33486226,0.40815547,0.48349437,0.54199886,0.5744096,0.584389,0.57759404,0.55710405,0.5283006,0.49894628,0.4780005,0.46680298,0.4636034,0.46447548,0.46829727,0.47419932,0.48243383,0.4931663,0.5073096,0.5255919,0.547085,0.5652244,0.57066727,0.5571274,0.5311499,0.50673497,0.49799395,0.50860405,0.5331521,0.559462,0.5729731,0.5649206,0.53823584,0.5110476,0.5042018,0.5269093,0.56690574,0.59677154,0.59441704,0.5567164,0.50241685,0.4529723,0.41887665,0.39401877,0.36812064,0.33861467,0.31417352,0.3069645,0.32179117,0.35150325,0.3810896,0.39695,0.3951725,0.38287377,0.37221292,0.37239265,0.386369,0.4147801,0.45906243,0.51874167,0.58279943,0.6291988,0.635505,0.5975929,0.535402,0.48344794,0.46882856,0.49598858,0.5445328,0.58323985,0.5900929,0.56564254,0.527715,0.49410316,0.4679066,0.44002005,0.402416,0.35922644,0.3269485,0.32205853,0.34878722,0.3918889,0.42566514,0.42857528,0.3949854,0.3358083,0.26955283,0.21528679,0.18513437,0.1845016,0.21170218,0.26159546,0.32494113,0.38898084,0.4405595,0.47237602,0.48570374,0.4851055,0.47173366,0.44165313,0.39303014,0.33150932,0.26958755,0.21817632,0.1822551,0.16265285,0.16024835,0.17388137,0.19483043,0.20817433,0.20340164,0.18553554,0.17225008,0.18000805,0.2078823,0.23864536,0.25067815,0.236585,0.204655,0.1720825,0.15116496,0.14717214,0.15794085,0.1768626,0.19257194,0.19421382,0.17680764,0.14567116,0.11455632,0.09891215,0.1086601,0.13996947,0.17899896,0.20855999,0.22191976,0.22194798,0.21699114,0.21229164,0.20952965,0.20843457,0.20740134,0.20520733,0.20154649,0.19908108,0.20073001,0.2088908,0.222676,0.23931448,0.25247762,0.2570118,0.24988145,0.23439573,0.21575391,0.20013206,0.18912953,0.18142068,0.17223932,0.15964355,0.1450821,0.13664795,0.1473044,0.1934319,0.2816489,0.39692888,0.5012264,0.5590952,0.5613032,0.5321234,0.5032779,0.49321243,0.49758765,0.50482035,0.50508904,0.49714336,0.4826424,0.46544123,0.44867215,0.4346212,0.42487273,0.42045295,0.42392316,0.43530175,0.4522415,0.47058403,0.49149266,0.52071476,0.561265,0.60264444,0.6245346,0.6117552,0.57122177,0.52711207,0.5042448,0.5090472,0.531312,0.55263555,0.56135994,0.5535726,0.5350268,0.5095407,0.47888815,0.43909422,0.3916374,0.34350467,0.3085126,0.29902908,0.32197043,0.3717089,0.4289939,0.46574917,0.4616202,0.41514692,0.34552345,0.27682915,0.22599952,0.19764334,0.19280322,0.21494538,0.2676741,0.34504664,0.4265847,0.48737517,0.51364416,0.51079863,0.4940692,0.47332954,0.44729283,0.41046324,0.36314258,0.31240353,0.26599786,0.228019,0.20093419,0.18839675,0.19277465,0.20860873,0.22248113,0.22059606,0.2011665,0.1764171,0.16556591,0.1780864,0.20793574,0.23562948,0.2457606,0.23452981,0.21270712,0.19441159,0.19040425,0.20128177,0.21818317,0.23100758,0.2407279,0.26415434,0.31813458,0.40191028,0.49425495,0.5727685,0.62642246,0.6527154,0.64854145,0.612876,0.5558676,0.49606907,0.44933274,0.41797468,0.39462647,0.36914393,0.33612096,0.29592022,0.25527912,0.22407985,0.21107197,0.21678548,0.2326522,0.24512522,0.24647616,0.23787521,0.2269854,0.2187975,0.21332963,0.2068149,0.19626506,0.18085207,0.16170914,0.14237525,0.13075717,0.141002,0.18893607,0.2786545,0.39263597,0.4940568,0.55109304,0.554192,0.5216715,0.47946715,0.44728926,0.430719,0.4289695,0.43826854,0.454632,0.47194302,0.48518172,0.49036875,0.48665404,0.47478953,0.45912197,0.44631776,0.44174254,0.44748798,0.46219614,0.48666787,0.5214662,0.5645592,0.6032696,0.6203823,0.60344905,0.5601011,0.51362884,0.49084142,0.5025654,0.5421217,0.5877386,0.6168736,0.6132939,0.5799145,0.53258187,0.48965713,0.4532217,0.41207182,0.3558383,0.29317197,0.25077572,0.25617453,0.31371796,0.39649335,0.4598616,0.4719634,0.4320126,0.36601806,0.30216864,0.2558853,0.23091228,0.23456456,0.27567574,0.35545993,0.44896898,0.52223825,0.54934406,0.5390852,0.51536983,0.5021178,0.49900183,0.49325046,0.46869215,0.42104343,0.35674953,0.2889068,0.23073356,0.19206561,0.17853661,0.18873505,0.2132671,0.23764916,0.25060755,0.25089926,0.246426,0.24802385,0.2600039,0.27806842,0.29009125,0.28643742,0.2648294,0.23529102,0.21237065,0.20752174,0.21835037,0.23219252,0.23726793,0.23780634,0.25076157,0.29099676,0.35727367,0.43761897,0.52030706,0.59566563,0.6483578,0.65970796,0.6232508,0.5561833,0.48753372,0.43795002,0.4079943,0.38880274,0.37305638,0.36124122,0.3558335,0.35935402,0.37340704,0.40027627,0.43862966,0.4806796,0.512873,0.5251524,0.51750344,0.5012655,0.49194047,0.50183505,0.5328879,0.5752305,0.61090845,0.62635833,0.6198959,0.60303783,0.5888379,0.5852618,0.59029293,0.59740466,0.59811836,0.5891106,0.57225317,0.5550332,0.5425473,0.5343025,0.52379245,0.5058107,0.48280135,0.4633478,0.4570001,0.46460542,0.47942117,0.48871967,0.48609698,0.4740155,0.46450374,0.46521142,0.4754565,0.48762318,0.5010635,0.5213735,0.5536096,0.58670014,0.60032773,0.57627255,0.52057487,0.45731995,0.42002094,0.42523298,0.47044802,0.52876186,0.56925863,0.5668951,0.52302355,0.45711756,0.395969,0.3518997,0.32229066,0.297914,0.2762246,0.26567397,0.27711323,0.31313348,0.35875997,0.390141,0.38817132,0.3539901,0.30593148,0.26763543,0.25203463,0.25775766,0.2755897,0.29864046,0.3266332,0.36048368,0.39761665,0.43016538,0.45281446,0.46468958,0.469129,0.46563104,0.4506487,0.42094997,0.38074926,0.33970538,0.30745342,0.2868385,0.274616,0.26509783,0.25556704,0.24554555,0.23541462,0.22293212,0.20689677,0.18880196,0.17452924,0.16844618,0.1701225,0.1734166,0.17013218,0.15464036,0.12658592,0.09313715,0.06556842,0.054537226,0.062253963,0.08065629,0.09503717,0.094083905,0.07799884,0.058033142,0.048660796,0.0558198,0.074239574,0.09154958,0.10104964,0.106064856,0.11626163,0.13617541,0.16141151,0.18307911,0.19495511,0.1964237,0.19193287,0.18928881,0.1960854,0.2141668,0.23768501,0.25684723,0.26551285,0.26419893,0.25838324,0.25255182,0.24797976,0.24250521,0.23395963,0.22156294,0.2064247,0.1902297,0.17290585,0.1541471,0.13814925,0.14207666,0.18900633,0.29091382,0.4261732,0.5494876,0.6187017,0.6283568,0.6039651,0.57926136,0.56770706,0.56463486,0.5592583,0.5497469,0.54005426,0.5342745,0.5291446,0.51737803,0.49173927,0.45153108,0.40208575,0.35114408,0.3027035,0.25830832,0.22382694,0.217592,0.2604855,0.35767615,0.47885004,0.57407093,0.6023697,0.5658232,0.50147206,0.4591708,0.46524224,0.5152757,0.5750408,0.6097608,0.60069984,0.5618928,0.5171918,0.48392653,0.4559715,0.42181072,0.37748158,0.3329623,0.2992716,0.27939895,0.26847216,0.26256564,0.25969148,0.259167,0.255593,0.2467898,0.23367763,0.22581495,0.23431563,0.2738775,0.35051084,0.45421234,0.55150497,0.6067918,0.60387385,0.5568741,0.49088594,0.42346916,0.36028385,0.30465075,0.2627619,0.23896104,0.23142795,0.23318894,0.23725808,0.23989064,0.24027252,0.23925819,0.23694438,0.23221332,0.22236373,0.20514435,0.18093193,0.15486334,0.13599429,0.13206667,0.14459203,0.16710536,0.19065708,0.20817666,0.21688779,0.21542418,0.20304485,0.17992471,0.1493106,0.11732948,0.09068104,0.07407794,0.06929035,0.07679872,0.09533247,0.12143568,0.1482999,0.17044006,0.18598057,0.19739912,0.20615475,0.21157962,0.21187724,0.2075664,0.20096125,0.1946704,0.19003725,0.18764018,0.18726207,0.18845432,0.19017373,0.19160517,0.19170915,0.1901568,0.18746103,0.18558039,0.18657081,0.19111077,0.1979491,0.20477988,0.21013342,0.21370246,0.21730912,0.22589438,0.25055277,0.303877,0.389743,0.48908043,0.5672641,0.59452647,0.57203895,0.525166,0.4823219,0.45024547,0.42005494,0.38123667,0.33590254,0.2929645,0.26206908,0.24635834,0.24573559,0.25484097,0.26675305,0.27216938,0.26666257,0.24962407,0.22721839,0.21066861,0.22029294,0.2747325,0.375463,0.49118343,0.576051,0.6001798,0.57559997,0.5398238,0.52835584,0.55036354,0.59301037,0.6303974,0.6395965,0.6112223,0.55752784,0.5018836,0.46081924,0.43228233,0.40449926,0.37037268,0.33300635,0.29771593,0.26695624,0.24134122,0.22572438,0.22378545,0.23372911,0.24419145,0.24690871,0.24067132,0.23360951,0.23062117,0.23186469,0.23181736,0.22730644,0.218989,0.2133296,0.2182005,0.2401648,0.2821761,0.34561947,0.42702675,0.51284474,0.57809657,0.60108227,0.57942754,0.5326639,0.48358834,0.4415684,0.40152285,0.35963023,0.32357338,0.3106962,0.3327253,0.38531038,0.44595432,0.48847318,0.49879166,0.4835715,0.46073878,0.4423705,0.4275349,0.4106568,0.39797696,0.4072187,0.45104823,0.5163001,0.5684709,0.57625395,0.53759754,0.47684827,0.4239687,0.39310023,0.3823912,0.3831437,0.38859367,0.3952216,0.40136293,0.40672866,0.4114294,0.41596615,0.42071152,0.42559728,0.42957017,0.43068048,0.427979,0.42201176,0.41457736,0.40720367,0.40209317,0.4020655,0.4094914,0.42318478,0.43813637,0.4482551,0.45002902,0.4444543,0.43557885,0.42866275,0.4272695,0.43212667,0.4415939,0.45458177,0.47550258,0.5108788,0.5632693,0.6173306,0.6493688,0.6392994,0.5948571,0.5392064,0.4980515,0.47520176,0.4610711,0.4395667,0.40316787,0.35151407,0.29236445,0.23776896,0.20086463,0.19015175,0.20248483,0.2259897,0.24412894,0.24848367,0.23869777,0.2241621,0.2147432,0.21803498,0.23238714,0.24795258,0.25052428,0.23164268,0.19739263,0.17006493,0.18196738,0.25365093,0.37748972,0.5095442,0.59909576,0.61838776,0.5835753,0.5317087,0.49103895,0.46212724,0.4303179,0.38679662,0.33710685,0.2921331,0.2557987,0.22429432,0.1955905,0.17467003,0.16975416,0.18204527,0.20344935,0.22102462,0.22656776,0.22020026,0.20971584,0.20417857,0.20817803,0.21788563,0.2233237,0.21599072,0.19885884,0.19126971,0.22122091,0.3035837,0.4221399,0.5314711,0.5892689,0.58367413,0.54054797,0.4948429,0.46900687,0.46212065,0.46410063,0.46473286,0.46199408,0.45903996,0.4613868,0.4723241,0.49176088,0.5159512,0.5373368,0.5470805,0.5406994,0.52264005,0.50296944,0.48815593,0.47642997,0.46178606,0.44331503,0.4269439,0.4209433,0.42786613,0.44501293,0.46936086,0.500379,0.5365681,0.5668439,0.57736033,0.5589147,0.5214965,0.4822094,0.4581991,0.4515029,0.45677182,0.4633175,0.46548915,0.46177748,0.45714423,0.45748588,0.46859428,0.49124792,0.52040046,0.54307646,0.54538053,0.52071375,0.47684768,0.42921877,0.39120138,0.3660277,0.35045657,0.3400825,0.33282745,0.32719073,0.322098,0.3199216,0.33116606,0.36728403,0.42869762,0.4930173,0.53147244,0.52988726,0.50393414,0.47927848,0.47038737,0.47070467,0.46796706,0.45783734,0.44626573,0.44150713,0.44661224,0.45836177,0.46903256,0.47277498,0.4708893,0.47310457,0.48960972,0.52151066,0.55967885,0.59266096,0.6173095,0.63684887,0.65462404,0.662811,0.6509307,0.613733,0.5657299,0.52881193,0.5214062,0.54143184,0.5716831,0.5890905,0.57936853,0.54392225,0.49477422,0.4455799,0.39997253,0.35467502,0.30535635,0.2574073,0.22628053,0.23212238,0.28452978,0.3705726,0.45413682,0.49619773,0.47803017,0.41266426,0.3306373,0.26076674,0.21636425,0.19954157,0.20826511,0.24139367,0.29547003,0.36062452,0.42217314,0.466149,0.48687872,0.48649266,0.4711741,0.44491148,0.40837857,0.36285266,0.31305924,0.26838762,0.2356324,0.21682377,0.20633298,0.19813526,0.18816723,0.18025285,0.18190278,0.2018206,0.24031828,0.2889736,0.3312416,0.35314962,0.34921607,0.32606187,0.29608428,0.27016255,0.25334322,0.24636756,0.24819188,0.2567401,0.26868948,0.28249344,0.2985201,0.3185861,0.34254384,0.37369356,0.41721535,0.4761335,0.5356204,0.57200724,0.5665311,0.5284657,0.4812975,0.446146,0.42261925,0.39957467,0.36795476,0.32891184,0.28836152,0.2510701,0.22052437,0.20210962,0.19902675,0.20882314,0.21979181,0.22286527,0.21575797,0.20712431,0.20644683,0.22237165,0.25810525,0.31144175,0.37163162,0.4241598,0.4588373,0.47696093,0.48875245,0.5063906,0.5349109,0.569267,0.5944976,0.5967501,0.5729932,0.53643906,0.50559324,0.49115753,0.49028182,0.4930856,0.49385092,0.49146295,0.48740342,0.4789654,0.46476483,0.44577447,0.42853427,0.41913107,0.42117843,0.43369177,0.45312396,0.4763812,0.5037879,0.5392119,0.5847159,0.6332562,0.6688867,0.67556185,0.65149266,0.6107994,0.57541996,0.5599708,0.56523734,0.5789492,0.58350164,0.5673724,0.53227466,0.49142513,0.45612988,0.42674473,0.39387855,0.35090002,0.3032097,0.26944172,0.27156672,0.31917313,0.3979337,0.47237507,0.5069491,0.48643753,0.42355868,0.34484482,0.2771264,0.23834662,0.2412802,0.29011384,0.3763268,0.47377205,0.5497278,0.5836075,0.5785134,0.55497974,0.53014797,0.5067206,0.47451314,0.42615017,0.36583543,0.30949035,0.27342132,0.26362213,0.27258542,0.28559813,0.29106292,0.2854738,0.27254298,0.25772396,0.24570513,0.23958482,0.2426904,0.25547147,0.27422574,0.28916135,0.2929465,0.282541,0.26289532,0.24002641,0.22564344,0.23358507,0.27690193,0.35161927,0.4345162,0.49224544,0.50494105,0.479905,0.44972444,0.44938537,0.49192905,0.5547557,0.59928465,0.5972578,0.5550985,0.49870276,0.45564273,0.4339145,0.42945492,0.4326655,0.4381112,0.4434979,0.44959912,0.45874298,0.47542378,0.5014138,0.533257,0.5559196,0.5547565,0.52232474,0.47339752,0.43148458,0.42129883,0.44730675,0.49679732,0.54044586,0.5547297,0.53224957,0.4911712,0.45839724,0.45694008,0.4886229,0.5395264,0.58243173,0.59831685,0.58131343,0.5474005,0.5147088,0.49626958,0.48969054,0.48909023,0.4886762,0.4867765,0.4829513,0.47732815,0.4708501,0.46124718,0.44365302,0.41165984,0.36477962,0.30766702,0.2501963,0.20506816,0.19073208,0.2253846,0.31274983,0.42908978,0.52799,0.5699647,0.5468962,0.489746,0.44230118,0.4377315,0.47831514,0.54165757,0.5919277,0.60474867,0.5789506,0.5361384,0.49934825,0.47880355,0.47007045,0.46665987,0.46564534,0.46655977,0.4674175,0.46616843,0.46199545,0.45326027,0.4346331,0.40010405,0.34984553,0.2931948,0.24398376,0.21287872,0.20579888,0.22524805,0.27153817,0.3373295,0.40753365,0.4640539,0.4981462,0.5109364,0.5085003,0.48998082,0.45098087,0.3898289,0.3171406,0.24946034,0.20096017,0.1749109,0.16705304,0.16963275,0.17639954,0.1833086,0.19185083,0.20716876,0.23524447,0.2738353,0.3141987,0.34242412,0.35147527,0.34006476,0.3171313,0.2921514,0.2751259,0.26818958,0.2695271,0.27255353,0.27274513,0.26908407,0.26852906,0.28318858,0.3233631,0.38852522,0.46552053,0.5378304,0.5928946,0.62418103,0.62692803,0.6003745,0.55284005,0.49975917,0.45543242,0.42371297,0.40164125,0.38537714,0.37518683,0.37223634,0.37543035,0.38035977,0.38218772,0.3790041,0.37369034,0.37219396,0.37921703,0.39542875,0.41629648,0.43701246,0.45293677,0.46423784,0.47121644,0.47690818,0.48049998,0.48085892,0.4760816,0.471401,0.47723293,0.5018397,0.53912467,0.56878823,0.5695307,0.53672826,0.48456016,0.43540224,0.40384996,0.3931547,0.39807716,0.41198114,0.42876172,0.44468534,0.45649984,0.46196413,0.45781898,0.44433197,0.4254292,0.41010177,0.40434638,0.40936744,0.4219333,0.44241118,0.47553113,0.52376515,0.5783217,0.6189501,0.6281843,0.6041625,0.5641454,0.531581,0.5219577,0.53516036,0.55541605,0.56357044,0.546933,0.51235706,0.47627175,0.45544735,0.45227265,0.4615041,0.47478342,0.4885616,0.50068885,0.51241225,0.5255194,0.5440796,0.56758404,0.59233254,0.6077507,0.6063204,0.5841064,0.55087835,0.5202912,0.50882554,0.52007455,0.54795986,0.57363147,0.5822124,0.5700903,0.552694,0.54729843,0.55680525,0.5601773,0.53085583,0.45931637,0.3652798,0.28252622,0.23601909,0.22800988,0.24453938,0.26915893,0.2907003,0.3035348,0.3047103,0.29483417,0.27719167,0.25729418,0.2410324,0.23356731,0.23727028,0.24875228,0.2604091,0.26320037,0.25238323,0.22884308,0.20131795,0.1820227,0.18074115,0.19528234,0.21253426,0.2163565,0.20098269,0.17420106,0.15225956,0.14754874,0.16154464,0.18489055,0.20592171,0.21801138,0.2217632,0.22011851,0.21441828,0.20400034,0.19024192,0.17868751,0.1778173,0.19304214,0.2220146,0.25496444,0.28112134,0.294893,0.2961135,0.28748155,0.27194557,0.25294003,0.23322122,0.21489449,0.20001483,0.19128056,0.18978713,0.1938076,0.20016032,0.20782244,0.21955495,0.24248892,0.28633294,0.35415486,0.4327751,0.4934927,0.5136574,0.49520144,0.46295667,0.4415402,0.43832144,0.4461641,0.45460317,0.4589012,0.4576156,0.45366582,0.44970512,0.44877526,0.44896945,0.44815078,0.44544163,0.44514322,0.45104364,0.46434525,0.48252615,0.5058982,0.5378626,0.5813392,0.6274081,0.6561356,0.645992,0.59500957,0.52394015,0.46859202,0.45370236,0.48129568,0.52575535,0.553873,0.543977,0.50175524,0.44958258,0.4059793,0.37208757,0.33798063,0.2995437,0.26279613,0.23866744,0.23114294,0.23803909,0.25327513,0.2718756,0.28743106,0.29358914,0.2863674,0.2683237,0.24621801,0.22653441,0.21206938,0.20282847,0.1976914,0.19506003,0.19320045,0.19125707,0.18995804,0.19105577,0.19542116,0.20220397,0.20884149,0.21291517,0.21375592,0.21342617,0.21523647,0.22101474,0.22908072,0.23579447,0.23946285,0.2419601,0.24625249,0.25119394,0.25351998,0.25177264,0.2513049,0.25673857,0.26697388,0.2730279,0.26844218,0.2539879,0.23647879,0.22162282,0.21126471,0.20559211,0.2045991,0.21047878,0.22748299,0.2616292,0.3145009,0.38134262,0.45359114,0.5241208,0.58403504,0.6185591,0.61291265,0.5661202,0.49726328,0.43282735,0.39037144,0.3707727,0.36456808,0.36009553,0.34924445,0.32988393,0.3060777,0.28556105,0.274014,0.27022108,0.26724973,0.25834113,0.24452819,0.23233433,0.22834162,0.23208053,0.23977889,0.24736536,0.25284886,0.25333792,0.24590033,0.231164,0.2174419,0.22184987,0.2626081,0.34502494,0.44844365,0.5333221,0.5673313,0.5490572,0.5060898,0.46893933,0.45004162,0.4422125,0.43393543,0.42084062,0.4064505,0.39621958,0.39164534,0.3900535,0.38714877,0.38095728,0.37418744,0.37159118,0.37686238,0.38813737,0.40294263,0.42232704,0.4530122,0.4967096,0.5414357,0.56571937,0.5554235,0.51868564,0.47924337,0.46174225,0.473621,0.50560737,0.5359257,0.54860973,0.54045755,0.522701,0.5027777,0.47834584,0.4409742,0.3923985,0.34419,0.30790198,0.28451765,0.2697182,0.26434913,0.2813114,0.33453175,0.42407677,0.5227743,0.5918749,0.60396075,0.5673582,0.5153636,0.48638502,0.49615327,0.5353219,0.5743088,0.58659625,0.56249887,0.516056,0.4688302,0.43374574,0.408029,0.38214532,0.3511567,0.31643784,0.28173456,0.24727416,0.21166259,0.17430414,0.13869347,0.10965977,0.09079822,0.08149803,0.07886318,0.08025869,0.08655555,0.100785404,0.12450787,0.15379341,0.18067335,0.19807558,0.20385295,0.20003934,0.19077085,0.18145233,0.17862241,0.18655114,0.2041816,0.22580099,0.24568884,0.2603985,0.26708648,0.2636959,0.2524399,0.2417469,0.24082112,0.25140843,0.26746282,0.28044227,0.28647318,0.28479025,0.27677926,0.26290053,0.24484998,0.2237478,0.20240422,0.18706374,0.19180751,0.23418725,0.32146028,0.4361063,0.5366742,0.5825342,0.56027466,0.494692,0.42997488,0.40529814,0.43351734,0.49998584,0.57098156,0.6142579,0.6144096,0.5809203,0.5388613,0.51405185,0.5151293,0.52904195,0.530715,0.5047739,0.45831394,0.41359374,0.389349,0.38844144,0.40126684,0.4149286,0.42020395,0.41456985,0.4026401,0.3926369,0.39023295,0.39473414,0.40311325,0.4145131,0.4312762,0.4539498,0.47959042,0.50461847,0.5287483,0.5534982,0.5776625,0.59370774,0.59337133,0.5717971,0.535057,0.49436235,0.46727464,0.46491882,0.49085656,0.52884936,0.55712515,0.5563398,0.5279975,0.4831091,0.43463382,0.38633344,0.3400956,0.29972407,0.27001497,0.2519823,0.24044286,0.22944629,0.21617778,0.20384048,0.19818932,0.20260942,0.21454954,0.22659658,0.2326258,0.23149,0.22708994,0.22273982,0.2178426,0.20842683,0.19283026,0.17580539,0.16644615,0.17113177,0.18833666,0.21044886,0.22984272,0.24277472,0.24940239,0.25086987,0.24794008,0.24054813,0.22942363,0.21695141,0.20692475,0.2024439,0.20375563,0.20802821,0.21191812,0.21457873,0.2181441,0.22331102,0.22699319,0.22399817,0.21406978,0.20150475,0.19057988,0.17999189,0.16745067,0.15548414,0.15128952,0.15978567,0.17825265,0.19941618,0.21536958,0.22181113,0.218018,0.20999056,0.20640041,0.21358936,0.22732,0.23701608,0.23262377,0.21266751,0.18320306,0.15437637,0.13510041,0.12835355,0.12935817,0.12934439,0.12340041,0.11598161,0.11744836,0.13665901,0.17155091,0.2107998,0.23814583,0.24362572,0.22634707,0.19693421,0.17200868,0.16719739,0.18639122,0.21980508,0.25180215,0.27477577,0.29227582,0.31683937,0.36012396,0.4288892,0.5119042,0.5834198,0.6118628,0.5889685,0.53115547,0.47132182,0.43022665,0.4139167,0.41550836,0.42822877,0.44607165,0.46465316,0.4798282,0.48805356,0.4881645,0.4830023,0.47947654,0.48360422,0.4938619,0.5027704,0.5036954,0.50204206,0.5087438,0.53276867,0.56524897,0.5921095,0.6017027,0.6021027,0.60531026,0.62190026,0.6491317,0.68234104,0.7114653,0.72586197,0.71198964,0.66734195,0.6000428,0.5274665,0.46251228,0.4123936,0.37941995,0.36734882,0.38150653,0.42238787,0.4789629,0.52662235,0.54102796,0.5110263,0.44767356,0.37415293,0.31410202,0.28178343,0.28164542,0.31181523,0.36317483,0.42383873,0.47935367,0.52408713,0.5583914,0.5887064,0.61434007,0.6267329,0.6106348,0.55565625,0.4659574,0.36317253,0.27838132,0.234549,0.2337075,0.25800124,0.28367218,0.29697117,0.2976342,0.29277363,0.28534302,0.27264622,0.2522709,0.23035519,0.21746354,0.21826196,0.2256221,0.23095061,0.23374651,0.24248493,0.26027045,0.2802991,0.28832936,0.27676275,0.2489943,0.22161919,0.21385212,0.23964389,0.29880676,0.38296148,0.47770885,0.5666678,0.62868375,0.65092707,0.637186,0.60896367,0.58266276,0.5576675,0.5192934,0.4600772,0.38760343,0.3178103,0.26273972,0.22631305,0.21068983,0.2161054,0.24016392,0.27149805,0.29771495,0.31075945,0.31394595,0.31504276,0.32073775,0.3311213,0.34127894,0.3450302,0.33882383,0.32343772,0.30301932,0.28554142,0.2846643,0.31464222,0.3777139,0.4524815,0.5056521,0.5154336,0.48952064,0.45241693,0.42649937,0.4183291,0.42615214,0.44385815,0.4663398,0.48736286,0.50535566,0.5200395,0.5307672,0.5318065,0.5198552,0.49951398,0.48149273,0.4729468,0.47233292,0.47641054,0.48738036,0.5114954,0.5493035,0.58974576,0.6164096,0.61918664,0.60191274,0.5784436,0.56286055,0.56171066,0.5719885,0.5849833,0.59271854,0.59314394,0.5874701,0.57302403,0.54142296,0.4872383,0.41750658,0.3500342,0.30492303,0.2956082,0.32477733,0.38102064,0.44021073,0.47775105,0.48017335,0.45371437,0.41371772,0.3770347,0.3531909,0.3488771,0.3705037,0.41919184,0.48554048,0.5442114,0.5754721,0.5760682,0.56802624,0.5710015,0.5862765,0.59046406,0.5582266,0.48266625,0.38065282,0.28063968,0.20511027,0.1644937,0.15988232,0.18506454,0.22493982,0.2544379,0.25236538,0.2145037,0.16023739,0.11820099,0.11071539,0.14058962,0.19328432,0.2456473,0.28128913,0.29789552,0.30567148,0.31521407,0.32959983,0.34303305,0.34763741,0.33862355,0.31620717,0.2845581,0.25115636,0.22642362,0.21937628,0.23044586,0.24800341,0.25607833,0.24729551,0.22723603,0.2065021,0.19158673,0.18621735,0.19528371,0.22272193,0.26150212,0.2941496,0.3036852,0.29214668,0.28322348,0.3083941,0.37910163,0.47178307,0.5398995,0.5452611,0.48570284,0.39320657,0.3184073,0.30017018,0.35100862,0.4411079,0.5207472,0.5448453,0.51195925,0.45531812,0.42330256,0.4388782,0.4931155,0.54923064,0.57364434,0.5533242,0.50488466,0.45376742,0.4186628,0.40123877,0.39709273,0.40146136,0.4129194,0.4291353,0.4465835,0.46017888,0.4653282,0.45989278,0.44705033,0.43478036,0.4312949,0.43915382,0.4546717,0.47414097,0.50004673,0.53835803,0.58678573,0.6280079,0.63857406,0.6083884,0.551263,0.49602935,0.47073528,0.4870211,0.5385881,0.5984762,0.63770264,0.63646555,0.60186917,0.55016893,0.49785182,0.4461,0.3957225,0.35110292,0.32744673,0.33826983,0.38613382,0.4536748,0.5097075,0.5257341,0.4923474,0.42445302,0.34838167,0.28645316,0.24705942,0.22991996,0.23418476,0.26097116,0.30870333,0.3677242,0.42480886,0.46948218,0.4986185,0.51303333,0.5125126,0.4952644,0.45928892,0.40797237,0.34974608,0.2968773,0.258452,0.23768997,0.23210756,0.23730499,0.2488633,0.2619532,0.2713535,0.27337226,0.26806256,0.25969484,0.2536441,0.2535955,0.25860092,0.26413593,0.2641033,0.2550524,0.23797466,0.21718799,0.1966225,0.17692472,0.15639864,0.13372563,0.11023436,0.08908848,0.07315139,0.06331826,0.058422636,0.056523222,0.05605863,0.05659665,0.058575463,0.06272128,0.06927357,0.077361554,0.084845096,0.089676686,0.09211557,0.097198576,0.112113886,0.14297642,0.18882503,0.24290736,0.29112658,0.3177884,0.3102152,0.27138063,0.22161937,0.18936582,0.1910364,0.22119035,0.2595502,0.28762603,0.29910925,0.29731297,0.28677538,0.26980075,0.2518719,0.24968807,0.2834294,0.36094546,0.4591765,0.5412257,0.57840276,0.57615966,0.5570929,0.54342693,0.53927505,0.54199576,0.55093914,0.5701878,0.59972906,0.63127047,0.65155643,0.64908046,0.6202212,0.57099724,0.51754564,0.47715354,0.4598336,0.4606168,0.46879002,0.477878,0.49249554,0.5147279,0.536959,0.5436259,0.533119,0.5194549,0.5232296,0.54930305,0.5895675,0.6279246,0.6525604,0.653502,0.6293028,0.5853376,0.5338451,0.48367473,0.4380765,0.39798844,0.36713734,0.35542294,0.37100923,0.41493854,0.4718883,0.51700896,0.5270145,0.4960287,0.43745443,0.37272322,0.31784305,0.27864537,0.260219,0.2738833,0.3299445,0.4214921,0.5159537,0.577359,0.59094065,0.57593346,0.5588917,0.5501116,0.53325886,0.4882716,0.41091213,0.3215966,0.2493908,0.21414311,0.21309602,0.22738588,0.23409145,0.22262125,0.19819973,0.1804368,0.18673004,0.22154795,0.26945174,0.30947086,0.3260777,0.3187112,0.29633793,0.27347943,0.2619392,0.2665931,0.2825883,0.30076084,0.3120866,0.31151557,0.29732797,0.2723679,0.24414544,0.22342527,0.22499697,0.26140705,0.3365836,0.42893407,0.4997209,0.5103695,0.45602974,0.36428955,0.2786589,0.22641408,0.2110458,0.21768995,0.22967827,0.23613392,0.23552388,0.23401855,0.24649823,0.28783405,0.36221066,0.4502735,0.520396,0.5479863,0.5354013,0.5051176,0.48259553,0.48110726,0.49857798,0.5258734,0.54929644,0.5626293,0.56338936,0.560858,0.5608952,0.5702576,0.5863897,0.60787773,0.62788767,0.637626,0.6234751,0.57785755,0.50671417,0.4306393,0.37165844,0.33968922,0.32880142,0.32611448,0.3223874,0.3154192,0.30737698,0.2999291,0.29367816,0.28781617,0.28238547,0.27749458,0.2744529,0.27359644,0.27437833,0.27447912,0.27210858,0.2672148,0.26179063,0.25863135,0.25978592,0.26619062,0.27686775,0.28954163,0.30100954,0.3088956,0.31200072,0.31083,0.3068523,0.3012979,0.29304683,0.27833855,0.25403604,0.22188151,0.18908064,0.1632949,0.14730822,0.13807602,0.1305986,0.121795215,0.11149674,0.101108186,0.09186509,0.08425113,0.07787313,0.07205046,0.066065475,0.059537455,0.05243009,0.045021225,0.037773307,0.031118272,0.025427124,0.020926958,0.017727258,0.015698118,0.014498922,0.013683223,0.012911654,0.012045675,0.011098581,0.010124564,0.009130036,0.008085539,0.0069088344,0.0055525,0.004042127,0.0025683478,0.0013618717,0.0005798897,0.00018834702,5.2189116E-05,3.215729E-05,6.493831E-05,0.00014316263,0.00029674565,0.0005900289,0.0011494226,0.0021950575,0.004105864,0.007608972,0.013739689,0.02369745,0.038057145,0.05929206,0.09337896,0.15167786,0.23867898,0.34391296,0.43732527,0.49275577,0.5039971,0.49175486,0.4806261,0.4835423,0.49694073,0.5131621,0.5276254,0.5397592,0.5495035,0.55610186,0.55725056,0.549053,0.52885705,0.5002642,0.47466764,0.4637055,0.47028914,0.48663315,0.5033199,0.51805,0.53413224,0.5516758,0.56178474,0.5557031,0.5347667,0.51395637,0.50827926,0.523155,0.5500583,0.573749,0.5784507,0.55658346,0.51421386,0.46849778,0.43670475,0.42502853,0.42844382,0.43733883,0.44415876,0.44586322,0.44277823,0.4378558,0.4333996,0.43093917,0.43069983,0.43369865,0.44060183,0.4505706,0.4601663,0.4655514,0.46524897,0.46153858,0.4585155,0.45937875,0.46557912,0.47775647,0.4963192,0.52015656,0.5461504,0.5707264,0.59095514,0.6028417,0.600925,0.5822789,0.5531931,0.5266363,0.5130921,0.5123744,0.5170651,0.52157235,0.52620775,0.53325206,0.5412881,0.54343265,0.53391504,0.51187265,0.4865656,0.4690865,0.46770182,0.47831342,0.4914349,0.4991249,0.5059542,0.52305526,0.5571988,0.598686,0.627867,0.63022923,0.6096074,0.5824792,0.56374377,0.5565868,0.555084,0.5528793,0.5471607,0.53911257,0.5300171,0.521583,0.5142689,0.50871634,0.5044853,0.50129265,0.4985514,0.4946343,0.48734275,0.47532108,0.46403447,0.4613023,0.47521782,0.5018361,0.5356156,0.56623083,0.5906231,0.598501,0.58456725,0.5465624,0.49879384,0.45785785,0.43499902,0.42724988,0.42686903,0.43021286,0.4423062,0.46774837,0.50235707,0.5294128,0.53351873,0.5111862,0.47594318,0.44477686,0.42803624,0.4246397,0.42860064,0.43452886,0.43965435,0.4430621,0.44332775,0.4388658,0.42802155,0.41217813,0.39570978,0.384786,0.3824159,0.387441,0.3969411,0.41236874,0.43931293,0.48013797,0.5248741,0.5526409,0.5470359,0.5098013,0.46133468,0.42342928,0.4055554,0.40230313,0.4035343,0.40276837,0.3994733,0.39627278,0.39511225,0.39544296,0.3947265,0.3911365,0.38627538,0.38520932,0.39420414,0.4159493,0.44725215,0.4792452,0.5034197,0.5160313,0.5194483,0.5189304,0.51969147,0.52693075,0.5429366,0.5666606,0.5910848,0.60853064,0.61144876,0.59692794,0.56623805,0.52788514,0.49411118,0.47751346,0.48370662,0.50868624,0.537519,0.5534443,0.54706496,0.5241317,0.4973776,0.47740516,0.46575567,0.45983732,0.45776653,0.4597166,0.46624613,0.47521368,0.48315242,0.48548353,0.48059082,0.47015703,0.46006885,0.4555308,0.45822063,0.46472585,0.47213075,0.48142472,0.496421,0.5158937,0.5307507,0.52993995,0.5109857,0.48393753,0.4646287,0.46479395,0.4841781,0.5118594,0.53241533,0.53699136,0.5271957,0.5116241,0.49646997,0.48247227,0.4677782,0.45352483,0.44317994,0.43985024,0.44188523,0.44549665,0.44706082,0.44780695,0.44935116,0.45244822,0.45223057,0.44616878,0.43386665,0.4225981,0.417644,0.42216387,0.432415,0.4441738,0.4550394,0.46458292,0.4729463,0.47853872,0.48265433,0.48911008,0.5011267,0.5157981,0.5228491,0.5161128,0.49739435,0.47969058,0.4715848,0.47501025,0.4815265,0.484421,0.4795886,0.46760485,0.4484396,0.42246285,0.39223707,0.36238122,0.3370854,0.31474307,0.29153728,0.26393926,0.23435068,0.20679103,0.18609126,0.17504014,0.17597462,0.18733166,0.20216191,0.2091194,0.20035368,0.1772,0.15017132,0.13153154,0.12719198,0.13392854,0.14181612,0.14239053,0.1329618,0.11911964,0.10997347,0.11487367,0.13775803,0.17538942,0.21667439,0.24817784,0.26108363,0.25677654,0.24611525,0.24068505,0.24468581,0.2508935,0.2500026,0.23861259,0.22272605,0.2094801,0.20071293,0.19352235,0.18536472,0.17834574,0.17663087,0.18295993,0.19765645,0.22161098,0.26272455,0.3288462,0.41790357,0.5040621,0.5543358,0.550031,0.507018,0.45883855,0.4334447,0.43437076,0.45000693,0.46863207,0.4901626,0.5208276,0.56113106,0.5985713,0.61424667,0.6006159,0.5687659,0.53982395,0.52240366,0.5049512,0.47010294,0.4195796,0.38229382,0.3886621,0.44083714,0.50296485,0.53376174,0.5184974,0.477999,0.4423888,0.42748132,0.4299315,0.4394839,0.44894758,0.45530152,0.45755577,0.4554104,0.45015565,0.44467118,0.44218293,0.4443221,0.4495456,0.45470902,0.4568245,0.45500705,0.44906464,0.43861994,0.42338443,0.4053457,0.38957503,0.3809687,0.38092604,0.38659748,0.395411,0.40666834,0.42014107,0.43328595,0.4431809,0.45034742,0.45628956,0.4624931,0.46913803,0.48278403,0.5083087,0.5416444,0.5628307,0.55463266,0.5173208,0.47105637,0.4365411,0.420151,0.41256896,0.3993417,0.3709185,0.32731307,0.27726507,0.23464634,0.21156836,0.21162331,0.22606742,0.23895545,0.23813327,0.22295903,0.201959,0.1837846,0.17233455,0.16881108,0.17466529,0.18953542,0.20656396,0.2132867,0.19951516,0.16557993,0.12315541,0.08792544,0.07030707,0.070581086,0.08036194,0.088957615,0.08984751,0.08451235,0.08160928,0.09264782,0.12443614,0.1736427,0.22625923,0.26633504,0.2849107,0.28459227,0.2755568,0.26644027,0.2596747,0.24928528,0.23091985,0.2053722,0.18162905,0.16655938,0.16170813,0.1630703,0.16710494,0.17153025,0.17323105,0.16769834,0.15507407,0.14584495,0.16086178,0.21465223,0.30192927,0.39323887,0.45853174,0.48595393,0.48878038,0.48632467,0.48900703,0.49216795,0.48573098,0.46330845,0.42956576,0.39543644,0.37174055,0.3614618,0.3641181,0.3769735,0.39693865,0.4160712,0.42709807,0.42818284,0.4256346,0.42703834,0.43539134,0.4477749,0.4595692,0.46746394,0.47251973,0.47709748,0.4850781,0.49674392,0.5113747,0.5237536,0.53004783,0.5273056,0.51974684,0.512115,0.5091146,0.50933033,0.5106065,0.50793004,0.49746716,0.47776875,0.45669296,0.44642225,0.45377243,0.47024834,0.4806644,0.475472,0.45974895,0.4443152,0.43762422,0.44021645,0.44892684,0.45935225,0.4676229,0.46984446,0.46227646,0.44328797,0.4147544,0.38452324,0.36400428,0.366792,0.39904568,0.45435008,0.5087721,0.5367985,0.5263163,0.49081293,0.45346975,0.4318091,0.4264575,0.4315332,0.4411987,0.45381236,0.46716496,0.47978893,0.48966002,0.49531755,0.49288216,0.4820094,0.4671069,0.45776615,0.45839083,0.46766245,0.48232582,0.50533074,0.5407329,0.58331126,0.6145594,0.61465436,0.5799451,0.5286773,0.488802,0.48065242,0.5040646,0.5420106,0.5685155,0.56712914,0.5370647,0.494787,0.45665315,0.42924896,0.4054438,0.3772408,0.3452258,0.3226266,0.32552192,0.3616755,0.4207938,0.4789896,0.5107703,0.50498635,0.46913242,0.42205682,0.38108787,0.35442913,0.34350398,0.348406,0.37159076,0.41369817,0.46934628,0.52581006,0.5708023,0.5977335,0.60598737,0.5938092,0.557275,0.4963667,0.42255604,0.3557764,0.3123338,0.29494956,0.29435912,0.29901424,0.30251053,0.30399486,0.304584,0.305254,0.30734646,0.31287396,0.32334292,0.3366021,0.3466566,0.3472701,0.3376018,0.32379237,0.31419387,0.31371215,0.3208648,0.3304193,0.33696663,0.33944523,0.34228873,0.3539839,0.3798565,0.41927695,0.46574,0.5137613,0.5573583,0.58817106,0.5959305,0.5791657,0.55149114,0.53154963,0.52597505,0.5213926,0.49892983,0.45052293,0.38646102,0.32359862,0.27592126,0.24807115,0.24121732,0.2523731,0.27647647,0.3033938,0.3241527,0.33268347,0.32908884,0.3163505,0.30035007,0.28716022,0.28160253,0.28419593,0.29220203,0.30161572,0.311456,0.32577738,0.35461816,0.40498146,0.47082058,0.52696186,0.54590726,0.51740354,0.4595761,0.40256968,0.36905316,0.3636807,0.3786136,0.40378138,0.4309766,0.4579791,0.48372912,0.5079352,0.5241861,0.52727175,0.5174657,0.50724816,0.5114553,0.5374561,0.57868916,0.6215535,0.6545456,0.6729221,0.67494774,0.6593042,0.62557554,0.5811193,0.5396919,0.5169371,0.52071494,0.54833883,0.5876028,0.620353,0.63220435,0.6181939,0.58797145,0.5538233,0.5233851,0.4923897,0.4552759,0.41190305,0.37466526,0.35951746,0.37625608,0.416502,0.45834425,0.47816825,0.46619916,0.42866716,0.38042083,0.3356205,0.30555937,0.30167294,0.334398,0.40346646,0.49005994,0.56294835,0.5996941,0.6016529,0.5873594,0.57279396,0.55721277,0.5299786,0.48335972,0.42368606,0.3672309,0.330673,0.3203864,0.33066526,0.34947672,0.36523077,0.3710226,0.36452997,0.34871447,0.33092925,0.32045212,0.32269698,0.33483496,0.34747925,0.35120893,0.34387016,0.3294876,0.31412855,0.30018553,0.2887474,0.2812514,0.28141856,0.29290184,0.31902504,0.36381534,0.42821684,0.50707954,0.5838592,0.64150864,0.66753894,0.6639154,0.63786346,0.60204005,0.56556773,0.53631663,0.5151288,0.5006693,0.4909843,0.4875438,0.49152532,0.50089186,0.5105657,0.51662636,0.51976466,0.52238554,0.525124,0.52453965,0.5188898,0.5107577,0.50763744,0.51478744,0.5321043,0.5538507,0.57169825,0.5799179,0.5766516,0.5676448,0.559742,0.5600932,0.56978744,0.5864627,0.59989166,0.5979554,0.5720554,0.52944875,0.4862777,0.45828497,0.44553956,0.440015,0.43182698,0.42037675,0.40904737,0.40388593,0.40744674,0.4198954,0.43602553,0.4494289,0.45523337,0.45596316,0.45725772,0.46357417,0.474141,0.48847452,0.5093012,0.5385594,0.5686701,0.5841976,0.57454866,0.54643124,0.5180311,0.5055055,0.51143926,0.5267084,0.53757864,0.53258806,0.51088727,0.48084438,0.4559202,0.44238374,0.43909717,0.44054165,0.4435719,0.44675598,0.4491428,0.44947478,0.44728246,0.44217816,0.4333538,0.42056847,0.40575647,0.3926405,0.38296023,0.37573877,0.3690311,0.36507204,0.37076846,0.39382067,0.43595192,0.48924175,0.54040796,0.57846326,0.59946656,0.6028612,0.5850358,0.54017186,0.46749523,0.37890795,0.2942399,0.23106937,0.19521654,0.18254066,0.18370773,0.19024153,0.196577,0.20358633,0.21736123,0.2445751,0.2844145,0.3273734,0.36050415,0.37602314,0.37412918,0.36142728,0.34501743,0.3298984,0.31708273,0.30652678,0.29778013,0.29198492,0.291041,0.29890373,0.31948304,0.35407868,0.3985558,0.44514057,0.4866121,0.517039,0.5325566,0.53131753,0.51892096,0.50555235,0.5003166,0.50213593,0.5023474,0.49300113,0.47491023,0.45659336,0.44639277,0.4470497,0.45610783,0.47093645,0.4904716,0.511427,0.5273385,0.5303562,0.5209643,0.50653654,0.4990604,0.50415343,0.52007866,0.5381952,0.5487914,0.5476387,0.53670764,0.52432686,0.51690495,0.5187578,0.5275519,0.53849626,0.54307127,0.53666705,0.519268,0.4979023,0.47974756,0.46937692,0.46667838,0.46921456,0.47451964,0.4803604,0.4858651,0.48968768,0.49068967,0.48699594,0.48038474,0.47646633,0.48362622,0.5045046,0.5343731,0.5636763,0.58570594,0.59871554,0.6014061,0.5919276,0.56873447,0.5382541,0.5118132,0.50032204,0.5072898,0.52847,0.55518126,0.5740842,0.5745168,0.55269194,0.5187683,0.48513356,0.4609133,0.44566378,0.43926978,0.4410003,0.45015845,0.46317422,0.47700325,0.49018076,0.49758443,0.49179494,0.46625698,0.42521563,0.37935865,0.33968487,0.3119096,0.30114067,0.31725225,0.36638108,0.43980408,0.50784785,0.540845,0.5296645,0.49370572,0.46100736,0.44726238,0.4475805,0.4461446,0.42982695,0.3978795,0.35928956,0.32628468,0.30359507,0.29080498,0.28405428,0.28220317,0.28287593,0.28298858,0.27928975,0.2733185,0.27074155,0.27838576,0.29607156,0.3179063,0.33323494,0.33904144,0.33560196,0.3295581,0.3229969,0.32149184,0.325634,0.33571956,0.3435174,0.344991,0.33804965,0.32920316,0.32282773,0.32567158,0.33731225,0.354906,0.368152,0.3735641,0.37065616,0.36603954,0.36109054,0.35934308,0.35907876,0.35956833,0.35480848,0.34563366,0.3348149,0.32931593,0.33101833,0.34294236,0.3639258,0.38934323,0.40775225,0.41323438,0.40790853,0.40187263,0.4013048,0.4089537,0.4205999,0.43025056,0.4293557,0.41704142,0.39887258,0.38725916,0.39237794,0.42079863,0.46609417,0.50925636,0.5257384,0.5071575,0.46635708,0.42793658,0.4066589,0.40332672,0.4094695,0.41720095,0.42143407,0.42023802,0.4155568,0.4112393,0.4112604,0.41464886,0.4177803,0.4167565,0.4124544,0.4080671,0.4074756,0.41440293,0.434961,0.4734204,0.52337766,0.5641191,0.57295656,0.54479134,0.49780664,0.46063992,0.45099315,0.46916184,0.5005161,0.52860683,0.5401411,0.5337389,0.51515144,0.49420705,0.47335646,0.44988677,0.41939294,0.38486505,0.35582772,0.3436147,0.35304442,0.37855253,0.40651903,0.42368248,0.42530188,0.41604683,0.4022335,0.3855016,0.3654085,0.34897223,0.3522142,0.38790515,0.4495703,0.50996417,0.5397787,0.529252,0.49304506,0.4545327,0.42605543,0.4042144,0.37846872,0.34486818,0.30858147,0.27957177,0.2636312,0.259703,0.2617811,0.26380602,0.26318815,0.2614737,0.26307616,0.27176633,0.28807995,0.3078513,0.32499814,0.33418596,0.33475542,0.32945243,0.32365265,0.31997135,0.31833902,0.31557006,0.31049377,0.30422184,0.300396,0.30249265,0.3141663,0.33787838,0.37416777,0.42016578,0.4716119,0.5215891,0.5596831,0.5729082,0.5553528,0.5155217,0.47417924,0.4522011,0.45936823,0.49004304,0.5252188,0.54169315,0.5248546,0.47972283,0.42819324,0.39713848,0.40124694,0.43530002,0.47557315,0.49703208,0.48999342,0.4672182,0.44952282,0.45110488,0.4715458,0.5020093,0.52870584,0.54016066,0.533275,0.51850504,0.51196975,0.52307147,0.54730177,0.571129,0.58094275,0.570971,0.5456571,0.5168548,0.49581265,0.4865699,0.48548636,0.4863082,0.4846177,0.47937235,0.4719155,0.46591365,0.46413445,0.46503448,0.4599295,0.43923798,0.40057513,0.352669,0.30877772,0.2803961,0.27543676,0.3018851,0.36111143,0.44191632,0.51552534,0.5560673,0.5546298,0.5306818,0.51036245,0.5135284,0.5381248,0.5713567,0.5929444,0.59048796,0.5596897,0.5099801,0.4532745,0.40007365,0.35273114,0.3123097,0.28192276,0.27073944,0.28666294,0.32953838,0.3851466,0.43267855,0.455364,0.45029125,0.42650044,0.3970711,0.37211478,0.35815176,0.36133614,0.38780746,0.43576872,0.49211335,0.53368884,0.5470018,0.53443223,0.5160733,0.50747156,0.51206416,0.5171619,0.50818175,0.4766722,0.42662653,0.371105,0.32513952,0.29743505,0.28780648,0.2899886,0.2961879,0.29936817,0.29608333,0.2890941,0.2865303,0.29465353,0.31100264,0.32502365,0.32749614,0.31744942,0.30158705,0.28588316,0.27164948,0.2572809,0.24384667,0.23615147,0.24034393,0.2613096,0.30168214,0.3605322,0.43122053,0.50259763,0.5624468,0.6026228,0.617647,0.60712045,0.57458043,0.5326424,0.49577394,0.47768185,0.48160696,0.50243694,0.5264172,0.54142195,0.5431392,0.53773403,0.53437525,0.53597236,0.53870827,0.535392,0.52357477,0.5048334,0.48525715,0.47029594,0.4634272,0.46388662,0.46689597,0.46698081,0.46032098,0.44909045,0.43824282,0.43342343,0.4356114,0.44269753,0.44982982,0.4526467,0.44692448,0.43190995,0.41048107,0.38972917,0.37584892,0.37029457,0.36855546,0.36344072,0.3517522,0.33668363,0.32634938,0.32676375,0.3376592,0.35354924,0.36704692,0.37212288,0.3630209,0.33727714,0.297198,0.25291976,0.21694034,0.19917391,0.20098372,0.21594118,0.23389886,0.24616103,0.25005075,0.24656737,0.24060373,0.2366847,0.24116135,0.2559279,0.27907562,0.30233377,0.31904164,0.32561985,0.32445273,0.31944117,0.31449613,0.3108077,0.30751348,0.30323175,0.2980439,0.29392925,0.29284057,0.29451534,0.29584077,0.29266915,0.28403047,0.2732681,0.26617828,0.2645984,0.2646481,0.25934795,0.24526066,0.22487707,0.20377856,0.18598938,0.1715973,0.15865077,0.1454848,0.13231616,0.12045306,0.1110681,0.104332685,0.09958434,0.09608712,0.09340269,0.09136406,0.089917,0.08980619,0.09376463,0.10698855,0.13484316,0.17881145,0.23322827,0.28685057,0.3274242,0.3476862,0.34745717,0.3334674,0.3145117,0.29760858,0.28463578,0.2743952,0.26486298,0.25556254,0.24675512,0.23910777,0.23318045,0.2294135,0.22778143,0.22861779,0.23377098,0.24537788,0.2628746,0.28141168,0.2956415,0.3041238,0.3098884,0.3162734,0.32326916,0.32795548,0.32729137,0.32087496,0.31135166,0.30317768,0.29990894,0.3025465,0.30816057,0.31222275,0.3103535,0.30281493,0.29320815,0.28700295,0.2861581,0.28920868,0.29234615,0.29321218,0.29155496,0.2886123,0.28512752,0.28116024,0.2772549,0.27516413,0.2769294,0.2821417,0.28854418,0.29312035,0.2956903,0.2972692,0.29975483,0.3028849,0.30567786,0.3066709,0.3057688,0.30339667,0.29906037,0.29176736,0.28249267,0.27698708,0.28211862,0.2995467,0.32169643,0.33618262,0.3340311,0.3150661,0.28703436,0.260502,0.24415018,0.24157685,0.25081477,0.26516005,0.27737463,0.28397146,0.28823856,0.29690173,0.3140756,0.33601937,0.35357222,0.35915944,0.35293075,0.3410953,0.32958284,0.31978968,0.31022155,0.30076158,0.29353797,0.29083243,0.29268923,0.29731223,0.30245972,0.3062781,0.3074877,0.30550542,0.3008059,0.29440653,0.2870088,0.27872917,0.26984778,0.2614825,0.25471306,0.24943455,0.2443335,0.23891258,0.23461843,0.23419027,0.23884581,0.24737804,0.25686988,0.2651296,0.2709837,0.27340874,0.27091148,0.26258639,0.25040364,0.2385587,0.23160319,0.23033802,0.23239177,0.23354691,0.23212224,0.22842889,0.22400276,0.21900044,0.21304727,0.20696561,0.20336272,0.20590405,0.21566014,0.23080246,0.24653141,0.25897586,0.2657031,0.26614705,0.2598003,0.24715501,0.23085172,0.21621203,0.20892769,0.2113883,0.22124045,0.2327429,0.24138297,0.24572422,0.24722703,0.24677847,0.24424498,0.23938943,0.23371194,0.22948234,0.22780848,0.2276662,0.22710729,0.22482012,0.22091907,0.21628107,0.21221758,0.20967162,0.20904766,0.20929462,0.20830737,0.2037776,0.19515936,0.184668,0.17639019,0.17358178,0.1760494,0.18040018,0.18299158,0.18291299,0.18268885,0.18519811,0.19096655,0.19637589,0.19689886,0.19027786,0.17966513,0.17131083,0.17146315,0.18210833,0.20105028,0.22277576,0.24214768,0.2558372,0.26368913,0.2671273,0.26810053,0.26779613,0.26681173,0.26523802,0.26319894,0.2608743,0.25886738,0.25757825,0.25731704,0.25801164,0.25981537,0.2626294,0.2658734,0.26819947,0.26834372,0.26584768,0.2614305,0.25615355,0.2510713,0.24659179,0.24320804,0.24072391,0.2389469,0.23693623,0.23460655,0.23224129,0.23124729,0.23254412,0.23638177,0.24252331,0.2523261,0.26947024,0.29573753,0.3259625,0.34818706,0.35345182,0.34379306,0.3301566,0.32238683,0.3233281,0.33080772,0.34094426,0.34957564,0.3535225,0.3526136,0.34999704,0.34903955,0.35288417,0.3612518,0.37161303,0.37621388,0.37164155,0.35762703,0.34186637,0.32894433,0.32655558,0.33514798,0.35325846,0.36782137,0.37228975,0.36390594,0.35169408,0.33922815,0.33080396,0.32511476,0.32279858,0.31997845,0.3150877,0.3088708,0.30591795,0.3089025,0.31650436,0.3251549,0.3313774,0.33460262,0.33555654,0.3374596,0.34487984,0.36617103,0.40908864,0.47276163,0.5397628,0.5819129,0.58000875,0.5388858,0.48408535,0.44152248,0.42174888,0.42043507,0.42768928,0.4376317,0.44689858,0.45482478,0.4593202,0.46050167,0.4586241,0.4569825,0.45893812,0.46814284,0.4842867,0.5036292,0.5211662,0.5359532,0.5515392,0.56887394,0.5812823,0.5749859,0.5435328,0.49393117,0.44767928,0.42540738,0.43719515,0.47473487,0.51743966,0.5428424,0.5401196,0.5122421,0.4710178,0.42654154,0.38612714,0.35372832,0.3337085,0.3284652,0.33949092,0.36398098,0.39471117,0.41892686,0.42551637,0.41060045,0.38157952,0.35112974,0.32987425,0.32278824,0.3324441,0.3647245,0.4234093,0.50057465,0.57113737,0.6073353,0.5991892,0.5606262,0.5171743,0.4850166,0.46667886,0.45453596,0.44235602,0.4269211,0.40997347,0.39437738,0.3837428,0.37854132,0.37709513,0.3749986,0.36945713,0.35908023,0.34546113,0.33097994,0.31930283,0.3137505,0.31499377,0.3196315,0.32107446,0.31543928,0.30361798,0.2911286,0.2825677,0.27959275,0.2808256,0.28522134,0.29518303,0.3178607,0.36174357,0.42917395,0.5108979,0.589668,0.64901257,0.6806769,0.68229127,0.6568637,0.61088264,0.5576861,0.50906247,0.4708788,0.43840167,0.4058169,0.37161255,0.3410245,0.3196924,0.30996776,0.31050217,0.3177874,0.32669783,0.331089,0.32711923,0.3159231,0.3037551,0.2981931,0.30588877,0.3302571,0.3707424,0.42091808,0.47079635,0.5113434,0.53885174,0.555201,0.56475997,0.5721585,0.58044547,0.58872867,0.5917349,0.5821323,0.55923605,0.53016084,0.5071114,0.49546278,0.49317956,0.4931604,0.4937961,0.49738452,0.5073065,0.5194473,0.52539754,0.51712954,0.4960793,0.47138432,0.45461157,0.45018888,0.4563187,0.4705006,0.49552855,0.5333977,0.57530755,0.6017534,0.5964284,0.5629365,0.5222083,0.49820545,0.50153583,0.5286579,0.56668884,0.5998523,0.6148978,0.60764295,0.5869734,0.5679953,0.560365,0.56204295,0.5660005,0.5690994,0.57392,0.5816839,0.58945304,0.59060365,0.58102536,0.55922717,0.53052324,0.50411683,0.49195543,0.4989473,0.5215213,0.5480071,0.56624156,0.568616,0.55440855,0.5309953,0.5075838,0.49320087,0.48902962,0.4932057,0.49999538,0.5065169,0.5095153,0.5070731,0.49651423,0.4776,0.45197758,0.42291012,0.39304408,0.36486602,0.34048703,0.32139695,0.30702093,0.29585087,0.2871292,0.28214487,0.28214064,0.28573942,0.2888762,0.28769317,0.28258696,0.27728376,0.27686146,0.2849355,0.30589187,0.34426042,0.400604,0.46540943,0.5205538,0.55155045,0.5569828,0.54863745,0.536226,0.5222991,0.5021756,0.4778595,0.4548192,0.44130424,0.43819365,0.444767,0.45794925,0.47603622,0.4951729,0.51028866,0.5171322,0.51421356,0.50376934,0.4877169,0.4662772,0.43714872,0.4002123,0.35910353,0.32067558,0.2906622,0.27282074,0.27025136,0.2855582,0.31667286,0.35243067,0.37699997,0.3789065,0.36075696,0.3377196,0.3335453,0.36690834,0.44234252,0.54031473,0.63216615,0.6946168,0.7284172,0.7448726,0.7581325,0.7709883,0.78464293,0.7985893,0.8147382,0.83141446,0.84476167,0.8512542,0.85152984,0.84934664,0.847719,0.8465403,0.84379363,0.8377404,0.8276279,0.8130725,0.7931299,0.7660153,0.7289799,0.6800621,0.62122506,0.5596806,0.50534743,0.4645742,0.4378903,0.42128828,0.41102704,0.40441737,0.40003812,0.3963144,0.39234772,0.38738915,0.3812674,0.3739808,0.36619067,0.35863826,0.351931,0.34594443,0.3401611,0.33383223,0.32677925,0.31933996,0.31214663,0.3053145,0.2983932,0.290835,0.28255156,0.2741002,0.26631618,0.25998083,0.25535604,0.2520689,0.24924408,0.24610545,0.24237537,0.2383221,0.23422913,0.23002744,0.22501071,0.2182856,0.20923859,0.19834828,0.18704565,0.1769396,0.1685702,0.1610421,0.15308161,0.14433081,0.13595237,0.12942988,0.12528762,0.12257566,0.120147586,0.11779552,0.11647489,0.11677558,0.11831277,0.119670324,0.11994484,0.11849278,0.11525667,0.11022859,0.10470414,0.10070413,0.100096546,0.102752745,0.10674434,0.109560184,0.10967609,0.106945835,0.10201142,0.09550918,0.08781127,0.07940779,0.07123691,0.06433233,0.05917963,0.05547521,0.052700713,0.050572593,0.048953507,0.04739219,0.04513598,0.04174484,0.037482385,0.03317867,0.029458834,0.026444115,0.02383019,0.021384524,0.019048668,0.01683374,0.014683898,0.012556481,0.010543588,0.008800403,0.007399889,0.006275961,0.0053153173,0.0044529787,0.00366765,0.0029510863,0.0022916293,0.0016968972,0.001190653,0.0007957634,0.00051271793,0.00032193604,0.00019606632,0.000113378126,6.0305614E-05,2.8693872E-05,1.21163985E-05,4.738468E-06,2.0052096E-06,1.1185564E-06,8.2885043E-07,7.014807E-07,5.8428316E-07,4.2976356E-07,2.5651048E-07,1.16662E-07,3.629805E-08,6.5492785E-09,7.487285E-11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]