[0.08828348,0.09261071,0.102746874,0.11629242,0.12873368,0.13634215,0.13761593,0.13306901,0.12333841,0.11164161,0.104963094,0.11129453,0.13189675,0.15930487,0.183313,0.19889273,0.20769675,0.2130574,0.21637098,0.21671967,0.21325028,0.20605423,0.19684844,0.1879627,0.18113254,0.17592758,0.17113365,0.16709496,0.16660355,0.17202349,0.18174241,0.19008195,0.19086803,0.181517,0.1645307,0.14587142,0.13207771,0.1269546,0.12969726,0.13544647,0.13751568,0.13112622,0.11486915,0.091694884,0.067103244,0.047906008,0.039976094,0.045693193,0.061948184,0.08018207,0.0915701,0.09191013,0.084040664,0.07420615,0.06803939,0.06832009,0.07424813,0.08203232,0.08526588,0.07943919,0.064251125,0.044938397,0.02830672,0.020349698,0.024575606,0.04077869,0.06419119,0.085493386,0.09658412,0.094698526,0.08455474,0.07345572,0.06752012,0.06882485,0.075513504,0.082774855,0.08560414,0.08310139,0.07933482,0.08059228,0.08994201,0.10636147,0.12655665,0.14727794,0.16492538,0.17512421,0.17466904,0.16331951,0.14489935,0.1255924,0.112940066,0.11247498,0.12478728,0.14375897,0.16047287,0.16902806,0.1691987,0.16427405,0.15718688,0.14999981,0.14430116,0.14177227,0.14294301,0.14778847,0.15575759,0.16617306,0.17637748,0.1829279,0.18288015,0.17666805,0.16696584,0.15720363,0.149536,0.14458996,0.14145453,0.1375537,0.13008545,0.11825315,0.10499022,0.09492136,0.09068557,0.0909444,0.092313886,0.09249727,0.09167444,0.09142702,0.09327983,0.09719419,0.101065755,0.10066733,0.092405945,0.07577094,0.054781508,0.03553674,0.023610778,0.022379665,0.032405023,0.051170006,0.07258893,0.090014555,0.09916374,0.100789756,0.09855342,0.09655266,0.096830405,0.09858829,0.098811805,0.094238676,0.08566628,0.078902274,0.08211114,0.09881101,0.12506716,0.15173067,0.1708255,0.17940402,0.17945929,0.1750486,0.16954763,0.1646702,0.1608671,0.15841097,0.15747072,0.15767421,0.15806143,0.15835814,0.15986432,0.1643848,0.17242087,0.18251328,0.19276021,0.20141703,0.2070257,0.20767468,0.20231229,0.19150233,0.17809534,0.16578934,0.15773398,0.15479486,0.15576571,0.15830837,0.16098575,0.16365649,0.16726486,0.17258783,0.17954813,0.1870267,0.19297357,0.19548887,0.19332449,0.18697584,0.1779481,0.16867572,0.16078931,0.15529728,0.15175514,0.14994164,0.14895654,0.14773466,0.1434219,0.13353436,0.117011495,0.09623591,0.07549937,0.059538346,0.05160028,0.052585844,0.06032607,0.07003938,0.07686052,0.07941916,0.08096411,0.086577676,0.09855216,0.1147508,0.13050146,0.14193457,0.14724784,0.14682257,0.14252919,0.13772242,0.13573818,0.13889605,0.14711799,0.15842319,0.16875382,0.17347169,0.1693399,0.15761209,0.14351921,0.13266891,0.12677349,0.1241179,0.12325281,0.12555344,0.13310818,0.1456876,0.15987277,0.1717257,0.17821981,0.1783256,0.17279,0.16505523,0.15937637,0.15830892,0.16060609,0.16310902,0.16316713,0.1603779,0.15609966,0.15297556,0.152597,0.15312088,0.14841706,0.13264479,0.10545701,0.07351573,0.046027895,0.029845333,0.027898291,0.039405644,0.060607463,0.08451563,0.10405748,0.114834905,0.117509484,0.11558645,0.113156915,0.11228016,0.11259555,0.11130916,0.105098516,0.09211873,0.073724665,0.053733576,0.037264183,0.029030668,0.032830212,0.04922359,0.07467966,0.10132759,0.12160963,0.13172829,0.13414797,0.13509728,0.14117488,0.15557891,0.17594828,0.19612622,0.2093104,0.21278258,0.20728205,0.1964127,0.18408318,0.17589067,0.17671478,0.18832369,0.2056237,0.21970175,0.22283061,0.21327847,0.19453613,0.17262459,0.15358894,0.1413842,0.13664354,0.1364405,0.13849574,0.14387034,0.15623625,0.17633744,0.19959475,0.21960838,0.232825,0.23980393,0.24105556,0.23559822,0.22271313,0.20554243,0.19032532,0.18205567,0.1812495,0.18447964,0.18802966,0.19032411,0.19190921,0.19354945,0.19476078,0.19440769,0.19225329,0.18974566,0.18866944,0.18956248,0.19142492,0.19276255,0.19278675,0.19161586,0.19023323,0.18944336,0.18940227,0.18856448,0.18444216,0.17403422,0.15592413,0.13070807,0.101638116,0.07337971,0.05140856,0.04056597,0.043355316,0.058141544,0.07901437,0.09859109,0.111552745,0.11698785,0.11788621,0.119472355,0.12712698,0.14340603,0.16600119,0.18709193,0.19885702,0.19749247,0.18699561,0.17441787,0.1676266,0.17059545,0.18383127,0.20291151,0.2210883,0.23238687,0.23454823,0.22913177,0.21908057,0.20754015,0.19652909,0.18678892,0.17693572,0.16563259,0.15345673,0.14438756,0.14218426,0.14752865,0.15605368,0.1622408,0.16203658,0.15573807,0.14639205,0.1394949,0.13919961,0.1466858,0.15759607,0.16594315,0.16675065,0.15939389,0.14491041,0.125239,0.10188445,0.077556744,0.05577253,0.04058562,0.035449937,0.04201706,0.058705628,0.080610186,0.102295846,0.12188631,0.14083551,0.16071172,0.17856564,0.19029288,0.19427454,0.19442607,0.19528629,0.19878565,0.20331435,0.2057705,0.20300865,0.19290276,0.17737299,0.16284315,0.1569274,0.16196306,0.1736136,0.18474703,0.19137914,0.19374406,0.19429357,0.19474661,0.19555573,0.19590579,0.19438131,0.19008918,0.18361782,0.17679822,0.17043151,0.16350591,0.15428323,0.14290398,0.13157111,0.12253762,0.11624759,0.11129793,0.10637616,0.10119905,0.09690643,0.09502458,0.09630243,0.099544436,0.101632364,0.09962815,0.09244916,0.08158261,0.06968089,0.059988286,0.055677116,0.058718085,0.06809839,0.07930856,0.08674691,0.086531855,0.07852233,0.06561359,0.052617103,0.043883692,0.04154172,0.04421043,0.048334952,0.050585862,0.049827162,0.04698998,0.043747645,0.041457,0.04075973,0.0415571,0.042966276,0.0436945,0.04278252,0.040162195,0.036570396,0.03296295,0.03013599,0.02855566,0.0283226,0.029053375,0.030005993,0.030461533,0.030092428,0.02901611,0.027698284,0.026846983,0.027479311,0.030292192,0.03514033,0.040447634,0.044291016,0.045337673,0.043874815,0.04122197,0.03920905,0.03926569,0.041928742,0.046348825,0.050605744,0.05276695,0.05199756,0.048903883,0.044923376,0.041571323,0.039811585,0.039749876,0.04055651,0.040882554,0.039715473,0.03694454,0.033379965,0.030082596,0.027907422,0.027114188,0.027414182,0.028005473,0.028072337,0.027142623,0.025339782,0.02308937,0.020918353,0.019281106,0.018589355,0.018909585,0.019823903,0.020427488,0.01999397,0.01835036,0.016016785,0.013653253,0.011730063,0.010346119,0.009415277,0.008786357,0.00833561,0.0079779895,0.0076754675,0.007413737,0.0071841576,0.006968169,0.0067540854,0.006540889,0.0063291676,0.006104129,0.0058335527,0.0054943175,0.0050901757,0.0046569123,0.0042391857,0.0038656278,0.0035376549,0.0032363834,0.0029491473,0.00267757,0.0024353082,0.0022661153,0.0023029053,0.0028318611,0.0041301902,0.006740251,0.0118864775,0.022567913,0.04227983,0.07311797,0.112372,0.15357555,0.18811612,0.20937736,0.21357761,0.2018919,0.17995282,0.15602766,0.13593669,0.12052504,0.108791076,0.10333487,0.110237084,0.13236041,0.16332649,0.19135521,0.20751478,0.21172011,0.20936215,0.2060921,0.20399983,0.20257907,0.2006212,0.19799377,0.19586326,0.19546412,0.19778495,0.2045184,0.22062439,0.2512659,0.29524606,0.33864978,0.36155114,0.35171,0.31542066,0.27129173,0.23598611,0.21301131,0.19565307,0.17526752,0.1491462,0.11966241,0.09152601,0.06738704,0.050009463,0.043534506,0.055584643,0.08844953,0.13487855,0.17579992,0.19598038,0.19161822,0.17398757,0.15586299,0.14505148,0.14112152,0.14020984,0.13747697,0.12908585,0.11369719,0.09294658,0.07100197,0.054420725,0.053006023,0.07846439,0.13476412,0.20928662,0.27375638,0.3036345,0.29539424,0.2674731,0.24252097,0.23086162,0.2292459,0.22867258,0.22368383,0.21373464,0.20258634,0.19414513,0.19025777,0.19028915,0.19384013,0.20197384,0.21470155,0.22821067,0.23585685,0.23365961,0.22281952,0.20806389,0.1934102,0.18195397,0.1775617,0.18413116,0.20236619,0.22680539,0.24975128,0.26518515,0.27241027,0.27428517,0.27679148,0.28578618,0.30230913,0.31857613,0.32216093,0.30708137,0.27956262,0.2527589,0.23477872,0.2244534,0.21518378,0.20241165,0.18544316,0.16642427,0.14705612,0.1277074,0.10822744,0.09125906,0.084530324,0.09589022,0.12631159,0.16408849,0.19347996,0.20411123,0.19882612,0.18667276,0.17606856,0.16927071,0.16483265,0.15983741,0.15139396,0.13719615,0.11628462,0.09049392,0.06602422,0.053756554,0.0673906,0.1126233,0.17898023,0.23825246,0.26434895,0.25027004,0.21320082,0.17670375,0.15465903,0.14672829,0.14559664,0.14426313,0.13871486,0.12866472,0.1164745,0.10520228,0.09767238,0.09792575,0.1118341,0.1416685,0.18080503,0.21439348,0.23108925,0.22979577,0.21922515,0.20745885,0.1987881,0.19416583,0.19468619,0.20012857,0.20771174,0.21339308,0.2149412,0.21337397,0.21274555,0.2189294,0.23843972,0.27194107,0.3104286,0.33557215,0.33335543,0.30286914,0.2585094,0.21739854,0.19093728,0.17918156,0.17479484,0.16738123,0.15173036,0.13158275,0.117905416,0.1200474,0.1390347,0.16797434,0.19766563,0.22042207,0.23077387,0.22561044,0.207099,0.1823588,0.1601758,0.14482908,0.135545,0.12873277,0.12164865,0.112660795,0.1010099,0.086328715,0.06938516,0.053610932,0.04684007,0.061306577,0.105509065,0.17460848,0.24556418,0.29115054,0.29741374,0.27346304,0.23999815,0.2136836,0.1982296,0.18832962,0.17693244,0.16001089,0.1375642,0.11239919,0.08940834,0.07552081,0.07934701,0.107082,0.15572946,0.21116078,0.25447777,0.27434954,0.2717876,0.25728193,0.24119067,0.23008215,0.22518714,0.2261896,0.2316168,0.2408136,0.2513477,0.2593738,0.2590551,0.24900045,0.23491393,0.23135036,0.24792574,0.2815796,0.3119388,0.321244,0.30529216,0.27793673,0.2538035,0.2388485,0.22868024,0.21635003,0.19809403,0.17368536,0.14585504,0.11728694,0.090838045,0.07008768,0.0614897,0.07239326,0.103672184,0.14595634,0.18169154,0.19919896,0.19766055,0.18743442,0.17742503,0.17197882,0.16894639,0.1651117,0.15701343,0.14286785,0.12276962,0.09885196,0.07536612,0.05959021,0.06274655,0.09572557,0.15846922,0.2339743,0.2951101,0.32472423,0.32553878,0.31465292,0.30533758,0.30025387,0.29387775,0.2814175,0.26067492,0.23365611,0.2051645,0.18266372,0.17139536,0.17211562,0.18164347,0.19690685,0.21639694,0.237293,0.25459567,0.26297346,0.2615898,0.25344405,0.24306957,0.23334096,0.22680776,0.22545975,0.23077619,0.24083121,0.25177696,0.25896356,0.261095,0.2608219,0.26489773,0.27866113,0.30042684,0.319163,0.322118,0.30553368,0.27796334,0.25303718,0.23829287,0.232605,0.22962683,0.22442423,0.21508713,0.20263045,0.18955167,0.17842717,0.17186786,0.1712724,0.17840366,0.19200991,0.2086903,0.22126104,0.2263752,0.2251419,0.2238487,0.22573118,0.22963749,0.23017955,0.22268754,0.20515837,0.17927665,0.14941348,0.12027719,0.094974674,0.076741494,0.07264527,0.09482131,0.14884548,0.22452788,0.2934734,0.331152,0.33128718,0.31004944,0.28645685,0.27046168,0.26037487,0.25136164,0.24088849,0.22934645,0.21835412,0.2080598,0.19611068,0.18039578,0.16382344,0.15634246,0.1662338,0.19215532,0.22022463,0.23724598,0.23838533,0.23043382,0.22117847,0.21572845,0.2144259,0.21710704,0.2232362,0.23205496,0.24179614,0.25008568,0.255229,0.25774518,0.2617989,0.27304962,0.29283577,0.3142328,0.32469967,0.3172901,0.29594365,0.27321336,0.25836083,0.25266576,0.25023398,0.2449503,0.2338403,0.2183999,0.20267123,0.19104977,0.18589361,0.18817437,0.1982317,0.21562959,0.23598595,0.2509769,0.25243357,0.23854494,0.21463782,0.18912135,0.1678815,0.15287553,0.14272062,0.13495062,0.12649482,0.11520622,0.10014582,0.08286196,0.06796939,0.06367888,0.08058548,0.12407794,0.18772803,0.25039703,0.28992128,0.29616418,0.2775293,0.2508193,0.23087622,0.2272411,0.24296029,0.27345863,0.3033009,0.3158423,0.30379742,0.27479455,0.24323267,0.2211356,0.21589923,0.22906025,0.25518194,0.278953,0.28448865,0.26470068,0.22670728,0.18447097,0.15242314,0.14304657,0.16294396,0.20666976,0.25309932,0.27890334,0.27431938,0.24902372,0.21906722,0.19291611,0.16892128,0.14285587,0.1149124,0.08911713,0.069525965,0.05714423,0.050384548,0.046892185,0.04517284,0.044758085,0.04547197,0.046749037,0.047677457,0.04759619,0.04642636,0.04453056,0.04240487,0.040658712,0.040196102,0.041717574,0.04529934,0.04987051,0.054206904,0.057324704,0.059140798,0.05974336,0.05943116,0.058465403,0.057197656,0.055881593,0.054558855,0.053386286,0.05257398,0.052365705,0.052557144,0.05275364,0.05264843,0.052333508,0.05205136,0.05191881,0.05188203,0.05187912,0.05184804,0.05175881,0.05160852,0.051781934,0.052715212,0.054630768,0.05690452,0.058645103,0.05907051,0.05812888,0.056085844,0.053420614,0.050492276,0.047626078,0.04496188,0.04253615,0.040333807,0.03836848,0.036689207,0.03535633,0.03447372,0.03408877,0.034079358,0.03410357,0.033757105,0.032828618,0.031389225,0.029737025,0.028210744,0.02709012,0.02650365,0.026342824,0.026296703,0.026009379,0.025381088,0.024586946,0.023921758,0.023514895,0.02329691,0.02310445,0.02280542,0.022345394,0.021743106,0.021095881,0.020535434,0.02014566,0.019906657,0.019706571,0.019425333,0.018992292,0.018406168,0.01771608,0.016991084,0.016291745,0.015634904,0.014999147,0.014356646,0.013718213,0.013131298,0.01264764,0.012299745,0.012088783,0.012714408,0.016282255,0.0272253,0.049561623,0.084151566,0.125145,0.16355534,0.19095026,0.20443825,0.20534159,0.19746566,0.1846499,0.17001133,0.15620923,0.14507806,0.13833854,0.13625742,0.13771665,0.13991183,0.14077127,0.14019449,0.1400233,0.1418709,0.14549994,0.14925784,0.15159297,0.15193303,0.15037562,0.1469573,0.1427737,0.13960451,0.1393568,0.14124139,0.14307894,0.14292233,0.14144884,0.14118421,0.14700828,0.16630252,0.20519364,0.25989,0.31171894,0.33642235,0.3217087,0.27727887,0.22615226,0.18802421,0.16898876,0.16333053,0.16062875,0.15190987,0.13389058,0.10916885,0.08382364,0.06405742,0.056016117,0.06657541,0.098594554,0.14601545,0.19218583,0.22179276,0.22946738,0.223042,0.21293469,0.2055106,0.20025985,0.19395919,0.18321824,0.16612901,0.14284511,0.11556342,0.08786317,0.065911986,0.059441116,0.081842765,0.13787389,0.21572153,0.28479668,0.31918263,0.31257126,0.2830357,0.25216597,0.23190351,0.22032256,0.21019451,0.19542293,0.1741339,0.14908017,0.12555964,0.10873861,0.1020251,0.107903846,0.12879519,0.16269472,0.20064123,0.22762991,0.23449987,0.22310628,0.20573185,0.19290276,0.18851207,0.18927251,0.1911028,0.19152685,0.19074547,0.18959135,0.18890323,0.18893701,0.19185452,0.20208533,0.225666,0.26150563,0.29914847,0.31962287,0.31210646,0.27896005,0.23688121,0.20044164,0.17712323,0.1639511,0.15530664,0.14491837,0.1295798,0.10872253,0.08501799,0.06342487,0.050809707,0.054989714,0.07939598,0.11919441,0.15974094,0.18698587,0.19498505,0.19008519,0.1818702,0.1766833,0.17403935,0.1702799,0.16208272,0.14785595,0.12832017,0.10507474,0.08097499,0.060404688,0.051694095,0.06656315,0.1123065,0.18158881,0.24940173,0.28828838,0.28735003,0.2595434,0.2279209,0.20804685,0.2007341,0.19826217,0.19301684,0.18249428,0.16851278,0.15463145,0.14280249,0.13401002,0.13009952,0.1355499,0.15238784,0.17662083,0.1974862,0.2071449,0.20517437,0.19888902,0.19423133,0.1929177,0.19291006,0.19322516,0.19467314,0.19863467,0.20487349,0.21114272,0.21447384,0.21481661,0.2168342,0.22960465,0.2568266,0.29173493,0.3152479,0.3127142,0.2825804,0.2402906,0.20242707,0.17832571,0.1657676,0.15816732,0.14886348,0.13431954,0.11422047,0.09088419,0.06873442,0.054032456,0.05493654,0.07766494,0.12042248,0.17057006,0.21117349,0.23293988,0.23916279,0.24048461,0.24413712,0.24994119,0.25253722,0.24685282,0.23158723,0.20973317,0.18711455,0.16810995,0.15434039,0.1467966,0.15099734,0.17563729,0.22253491,0.27884683,0.3209045,0.33277205,0.31618538,0.28781796,0.26247385,0.24560423,0.23371774,0.22170804,0.20641285,0.18792973,0.16990526,0.15681364,0.1520455,0.15525408,0.16610283,0.18335216,0.2048005,0.2230876,0.23114924,0.22670151,0.2157635,0.20624329,0.20273064,0.20453888,0.20899267,0.21388412,0.21783526,0.22064929,0.22294843,0.22646679,0.23248868,0.2426687,0.25920287,0.28300476,0.309494,0.32744774,0.32657173,0.3060634,0.2763612,0.25042573,0.23463686,0.22691782,0.22063719,0.2101487,0.1936335,0.17475319,0.16018917,0.15551841,0.16151871,0.17600085,0.19675648,0.22176474,0.24648397,0.263616,0.268651,0.26332423,0.25483748,0.24880637,0.24627572,0.24385959,0.23808487,0.22766288,0.21423781,0.20064902,0.18890323,0.17933542,0.1729541,0.1742884,0.19165666,0.22892635,0.27902102,0.32225922,0.34122416,0.33118522,0.30465743,0.27751258,0.25942838,0.24888556,0.23978184,0.22698164,0.20976855,0.19098966,0.17376487,0.15994765,0.15078974,0.15065664,0.16453247,0.1925,0.22444923,0.24666117,0.2516072,0.24336493,0.23164771,0.22353669,0.22062744,0.22142301,0.22520435,0.23193806,0.24169315,0.25294626,0.26341033,0.27099136,0.27656615,0.2849262,0.30231503,0.3286272,0.35340098,0.36020803,0.3411772,0.30347168,0.26504976,0.23959081,0.23022045,0.23085235,0.2342095,0.23522015,0.23226744,0.22552542,0.21638489,0.20663406,0.19931215,0.19844961,0.20628472,0.2200438,0.23173778,0.2344998,0.22739963,0.21592253,0.2061073,0.20046769,0.19739085,0.1930806,0.1839227,0.16787189,0.14592205,0.12153315,0.09943348,0.085296355,0.08635656,0.110396005,0.15913706,0.22208476,0.27818683,0.30848962,0.3090906,0.2915207,0.2717301,0.25755545,0.24705254,0.23390098,0.21444857,0.18973796,0.16395742,0.14125536,0.12372279,0.112811066,0.11212402,0.127643,0.16088016,0.20326732,0.2375241,0.25091353,0.2433926,0.2267869,0.21315287,0.20801552,0.21060951,0.21738367,0.22562897,0.23288792,0.2387992,0.24317974,0.24649341,0.24936366,0.25452456,0.2667142,0.28646687,0.30672312,0.31397614,0.30149046,0.27399644,0.2448531,0.22430505,0.21671899,0.22348513,0.24333155,0.27001533,0.2905109,0.2946527,0.28073505,0.2571708,0.23443878,0.22126381,0.22241955,0.23728275,0.25939897,0.2782711,0.28693625,0.28442442,0.2755203,0.2663335,0.2634624,0.27212095,0.29149666,0.31277445,0.32294643,0.3158797,0.29519567,0.2708746,0.25146726,0.24357378,0.2512516,0.27327052,0.2994173,0.31521294,0.3120824,0.29336527,0.27032435,0.25435603,0.25283557,0.26735425,0.29210785,0.3144797,0.3221813,0.31233585,0.2923673,0.27374753,0.26430205,0.26842466,0.28580675,0.31132218,0.3330176,0.34049317,0.33060023,0.31011757,0.28841963,0.27350292,0.2704974,0.28073522,0.29922497,0.31447875,0.31633797,0.30296,0.2813976,0.2612975,0.2500903,0.2531174,0.2706466,0.29613718,0.3152248,0.31762245,0.30344176,0.28474602,0.2737328,0.2770474,0.29382625,0.31798854,0.33984008,0.34857395,0.34006798,0.31906167,0.2968928,0.282742,0.280942,0.29169813,0.31130207,0.3320659,0.34310535,0.33885098,0.32199305,0.30263302,0.28972545,0.28810406,0.2979238,0.3150597,0.33143672,0.33742794,0.32927036,0.31134117,0.2931958,0.2824919,0.28264627,0.29430613,0.31422836,0.3352522,0.3467684,0.34395346,0.3297467,0.31298438,0.2977303,0.28161553,0.25973085,0.23165363,0.20236267,0.17694305,0.1582163,0.1452564,0.13672169,0.12970875,0.122735284,0.11671861,0.11603999,0.12358934,0.13653494,0.14789832,0.15254217,0.15111637,0.14756446,0.14494695,0.14438403,0.14621349,0.15052895,0.15632635,0.1616453,0.16538458,0.16888559,0.17648154,0.19406915,0.225038,0.26553187,0.30343714,0.32525662,0.3256441,0.3104131,0.2906444,0.27365902,0.2611418,0.2517661,0.24502039,0.24042813,0.236324,0.23028678,0.22085701,0.21009554,0.20265155,0.20495535,0.21956056,0.24373935,0.26835158,0.28598464,0.29378033,0.2959467,0.2962408,0.2962542,0.29356563,0.28630617,0.27424955,0.25973836,0.24617589,0.23654896,0.23223124,0.23373212,0.24212618,0.26065317,0.28959396,0.32302806,0.34700224,0.35097492,0.33448896,0.3089093,0.2858233,0.27013516,0.25936088,0.24942328,0.23908423,0.23087442,0.23097831,0.2454681,0.27397177,0.30554733,0.32318386,0.3179452,0.2946845,0.268308,0.24875565,0.23837556,0.23362447,0.23292059,0.23514183,0.23921086,0.24262047,0.24405329,0.24405698,0.24487011,0.24850845,0.25528815,0.26388144,0.2736582,0.28615376,0.3042386,0.3254511,0.3407582,0.33739313,0.31241986,0.2752014,0.24343194,0.22803408,0.2289692,0.23782074,0.24618745,0.2493692,0.24585027,0.23625416,0.22229904,0.20746414,0.196034,0.19218451,0.19621915,0.20335805,0.20474815,0.19465752,0.17451896,0.15249343,0.13647471,0.12939906,0.12912454,0.13168418,0.13427068,0.13584645,0.13695411,0.13846466,0.14073674,0.14456327,0.15261096,0.17103213,0.20341396,0.24601929,0.2834859,0.30008495,0.28912506,0.2600959,0.22827095,0.20392357,0.18573649,0.16640379,0.14229552,0.11952885,0.11268354,0.13517004,0.18712163,0.25112396,0.30092016,0.32084265,0.31393027,0.29669252,0.28168312,0.27257374,0.26633513,0.2615508,0.25836277,0.25723776,0.25743797,0.25795352,0.25919417,0.26241973,0.26922098,0.27869904,0.28800985,0.29471573,0.30048606,0.3111334,0.32925293,0.35036924,0.3620864,0.35688162,0.33580044,0.31038848,0.29015496,0.27884448,0.27103975,0.25899768,0.23712464,0.20692736,0.17483224,0.14689736,0.12477759,0.10813979,0.100311704,0.107833005,0.13363923,0.17072944,0.20602691,0.23002745,0.24224329,0.24776821,0.2504457,0.25095913,0.24856462,0.24315955,0.23405503,0.21944864,0.197079,0.16702484,0.13311641,0.10455504,0.094588995,0.11577653,0.16857314,0.23630595,0.2910241,0.3140569,0.30596542,0.28345636,0.261834,0.24751781,0.23926611,0.23500176,0.2340966,0.23491468,0.23381172,0.22525214,0.20703982,0.18326528,0.1651528,0.16323675,0.18062276,0.20937909,0.23809715,0.25858155,0.27007377,0.27517477,0.27656448,0.2754359,0.27253744,0.2690537,0.26607946,0.26409543,0.26224503,0.25909397,0.2550182,0.25408378,0.26341507,0.28582352,0.31529236,0.33670184,0.33845022,0.31951836,0.2915336,0.26716003,0.25346473,0.24903993,0.2483362,0.24549745,0.2371831,0.22555189,0.2169079,0.21804214,0.23006372,0.2484241,0.26689014,0.28140536,0.2901496,0.29156175,0.28523156,0.27266088,0.2572456,0.24213307,0.22899067,0.21805722,0.20799221,0.1969586,0.18314971,0.166537,0.14826506,0.13097231,0.11928424,0.12091633,0.14422901,0.19006617,0.2470113,0.29397094,0.3144959,0.30443218,0.27233255,0.23190443,0.19955772,0.19130011,0.21403456,0.25758734,0.29763332,0.31385183,0.30230758,0.2753492,0.24908383,0.23632932,0.24301274,0.26673785,0.29601362,0.31532308,0.31551877,0.2970649,0.267486,0.2351769,0.21033119,0.20345269,0.21903537,0.24894293,0.27592924,0.28766808,0.28443703,0.27625528,0.2727997,0.27912712,0.29569766,0.31753823,0.33470896,0.33554652,0.3164797,0.284302,0.25245592,0.22957873,0.21594214,0.20503576,0.19113517,0.17226787,0.15022075,0.12701127,0.103971876,0.0833328,0.071109444,0.07642872,0.104590304,0.15096392,0.1999834,0.23604852,0.2521961,0.25379914,0.25004804,0.24703301,0.2443016,0.23772027,0.2234087,0.19991179,0.16949038,0.13592853,0.10328138,0.07597308,0.06185037,0.07313398,0.116777025,0.1848553,0.25000736,0.28453574,0.27722266,0.2428773,0.20524776,0.18167222,0.17348759,0.17284526,0.17058104,0.16242473,0.14993711,0.13766305,0.12991367,0.1291769,0.13814591,0.16028456,0.1960304,0.2390178,0.2765459,0.2983549,0.30200148,0.29370764,0.28130847,0.26991323,0.26020452,0.2505097,0.23972785,0.22909552,0.22279267,0.2247814,0.2362719,0.25540394,0.2796508,0.30769432,0.33468303,0.35206845,0.34870028,0.32364178,0.28573862,0.25133136,0.2296518,0.2222442,0.22267498,0.22483265,0.22368737,0.2185678,0.21077226,0.20329376,0.19763328,0.19454937,0.19488995,0.19961698,0.20845099,0.21740188,0.22175358,0.21840249,0.20921324,0.19815643,0.18908639,0.18278547,0.17719509,0.16856664,0.15400903,0.13372894,0.11072532,0.088885896,0.071870945,0.06513635,0.07723489,0.1144188,0.17116487,0.22757113,0.26101184,0.263688,0.24643923,0.22814862,0.21908699,0.21827327,0.21782608,0.21180373,0.19830032,0.18058693,0.16457169,0.15499966,0.1527196,0.15553628,0.16393174,0.18048687,0.20671566,0.23604949,0.25861704,0.2668828,0.26261523,0.25242722,0.24341832,0.2385447,0.23800726,0.24062854,0.24554448,0.25219488,0.26014388,0.26844487,0.2755079,0.2788472,0.2758722,0.26458728,0.24534808,0.22100057,0.19638424,0.17588879,0.16220814,0.15568495,0.15503961,0.15758134,0.15993339,0.15899843,0.15348035,0.14376317,0.13071962,0.114189595,0.09393009,0.07138017,0.050617516,0.03612759,0.029925985,0.030141247,0.032817025,0.034567446,0.034266274,0.032593526,0.030770635,0.029619584,0.029287936,0.029463015,0.0295495,0.02911579,0.02804658,0.026658019,0.025419736,0.024888577,0.025483808,0.02725258,0.029563105,0.031330023,0.0316722,0.03050822,0.028489545,0.026484365,0.025144061,0.024821853,0.025531314,0.02689556,0.0282009,0.028835377,0.028651893,0.028023498,0.02748621,0.02751224,0.028418692,0.030337756,0.033012297,0.035747822,0.037666544,0.038198907,0.037389312,0.035841886,0.034378797,0.033638027,0.033782322,0.03448039,0.03513277,0.035248023,0.03462185,0.033486705,0.032527413,0.032981288,0.03598423,0.04177208,0.048942257,0.055331588,0.059256565,0.06057248,0.060108107,0.05883516,0.057221636,0.05542174,0.053485543,0.051485542,0.049471945,0.047499556,0.04563816,0.04393841,0.042381912,0.040886927,0.039374154,0.03780428,0.036196813,0.034604684,0.03311734,0.03179789,0.030660437,0.029622532,0.028576797,0.027439097,0.02622204,0.02500791,0.02388867,0.022899618,0.021999344,0.021133685,0.020268945,0.019420711,0.018606007,0.01784104,0.017129144,0.016474696,0.015872793,0.015310719,0.014780559,0.0142902015,0.013853864,0.013476205,0.01313812,0.012811538,0.012462433,0.01207136,0.011633969,0.011169453,0.010704766,0.010256122,0.009820286,0.00937822,0.008918055,0.008443761,0.0079786675,0.0075471853,0.00716123,0.006814607,0.0064998833,0.006233648,0.0063238344,0.0077807955,0.01269273,0.023341926,0.040739443,0.06308768,0.08688801,0.10845522,0.12614004,0.13934751,0.14864634,0.1542217,0.15733129,0.1591099,0.16106652,0.16297998,0.16370963,0.16129626,0.15465665,0.14369802,0.13017236,0.117914796,0.11189523,0.11491996,0.12521137,0.13727657,0.14586188,0.14840339,0.1449468,0.13633645,0.123847626,0.10947913,0.096175425,0.08685887,0.08262979,0.08183763,0.08018943,0.07366029,0.060792208,0.044167478,0.028476454,0.018392105,0.016928315,0.024413452,0.03836943,0.05345705,0.064697765,0.06955134,0.06944109,0.06725457,0.06555858,0.06545047,0.06664001,0.06815504,0.068978705,0.07017881,0.074724235,0.08571005,0.10313495,0.123241745,0.14144106,0.15470815,0.16326068,0.16827016,0.17144191,0.17336126,0.1747129,0.17596465,0.17848308,0.18325613,0.18959825,0.19382365,0.19129176,0.1807137,0.16634904,0.15521114,0.15094917,0.151823,0.1540966,0.15647659,0.16004361,0.16487496,0.16927035,0.17160557,0.17231841,0.17261267,0.1729409,0.1727724,0.17106079,0.16638534,0.15691777,0.14255325,0.12662904,0.11595804,0.116434075,0.12866658,0.14598404,0.1591212,0.16245216,0.15845372,0.15455846,0.15754253,0.16857184,0.18395169,0.19802678,0.20620118,0.20554252,0.19462205,0.17409961,0.14835216,0.1258284,0.1159406,0.12310049,0.1432658,0.16606581,0.18214886,0.1882747,0.18767576,0.18526246,0.1839964,0.18368806,0.18272693,0.1799131,0.1748054,0.16718787,0.1557758,0.13872468,0.115195416,0.0872772,0.060424086,0.041334063,0.035897557,0.046298202,0.070106745,0.09969759,0.12568323,0.14118929,0.14575376,0.14460565,0.14523244,0.15274741,0.16726552,0.18374276,0.19522934,0.19749807,0.19213562,0.18537392,0.18328007,0.18788745,0.19666637,0.20549154,0.21083075,0.21029837,0.20182024,0.18459165,0.16110736,0.13922498,0.1291938,0.1371017,0.1581089,0.17876947,0.18671133,0.18062474,0.1690707,0.1610241,0.15712331,0.15228097,0.14437641,0.13940501,0.14607792,0.16614608,0.19147795,0.2092234,0.21170427,0.20020097,0.1834402,0.1705736,0.16615123,0.16907871,0.17557508,0.18252678,0.1882916,0.19228224,0.19468732,0.19639112,0.19866581,0.20188902,0.2055914,0.20869796,0.2105581,0.21004494,0.2053439,0.19417673,0.17722045,0.15937103,0.14836252,0.14833803,0.15631317,0.16340472,0.16150711,0.14867587,0.12999082,0.11492378,0.111989595,0.124789156,0.14871384,0.17401917,0.19077474,0.19511825,0.18943425,0.17999285,0.17258953,0.17005758,0.17071362,0.16960426,0.16260575,0.15148543,0.14348604,0.14620829,0.16023242,0.18010706,0.19793974,0.2099713,0.21521972,0.21464537,0.20723654,0.1917494,0.16795643,0.14071418,0.11889005,0.11125467,0.11982784,0.13821535,0.15624242,0.16663527,0.16872813,0.1662507,0.16406447,0.16515236,0.1703213,0.17796093,0.1854095,0.19038408,0.19253302,0.19301553,0.19347681,0.19508706,0.19863588,0.2036696,0.20825611,0.20871587,0.20288862,0.19151722,0.17934476,0.17097248,0.16901381,0.17216651,0.17798096,0.18375503,0.18846561,0.1917191,0.19405194,0.19525611,0.19493277,0.19251432,0.18900818,0.18577726,0.18345763,0.1806056,0.17655428,0.17272043,0.1728335,0.17841761,0.18770735,0.1961031,0.20060624,0.20045762,0.19675587,0.18990374,0.18032517,0.16895689,0.15813412,0.14991236,0.14582805,0.1461379,0.15043108,0.15649253,0.16192134,0.16496818,0.16612297,0.16769473,0.17451565,0.19469096,0.23254764,0.28266668,0.32535434,0.3432975,0.33174536,0.3050476,0.27947688,0.2646867,0.25867668,0.25649846,0.25377953,0.24889076,0.24131568,0.2316211,0.22111249,0.21166074,0.20481683,0.2009622,0.1989388,0.19637702,0.19144692,0.18392843,0.17569137,0.16908057,0.16571976,0.16590165,0.16926825,0.1751898,0.18259268,0.18978602,0.1951613,0.19815929,0.19942342,0.19982032,0.19966537,0.19905193,0.19844218,0.19868422,0.19997686,0.20180331,0.20341663,0.20482916,0.2062975,0.20768581,0.20822318,0.207711,0.20728783,0.20923729,0.21507663,0.22423531,0.2339587,0.24145281,0.24571544,0.2475611,0.2477711,0.24587364,0.2412119,0.23458809,0.22815065,0.22356226,0.22071946,0.21879525,0.21754378,0.2177434,0.22016625,0.22502442,0.2317217,0.2388752,0.246049,0.25559685,0.2738472,0.30423144,0.3417913,0.37094507,0.37832454,0.36175355,0.3332912,0.30687925,0.29030716,0.28285834,0.28127423,0.2825468,0.2846068,0.28570357,0.28639528,0.28907713,0.2961984,0.3064662,0.31614506,0.3214457,0.32188597,0.31908488,0.31524536,0.31098342,0.30590954,0.29943797,0.2923763,0.28660938,0.28383586,0.2840267,0.28554285,0.2868574,0.28727165,0.28716466,0.28667173,0.2865988,0.287679,0.29080054,0.29506928,0.29868317,0.29998863,0.29912356,0.29764935,0.2967843,0.29671943,0.29655156,0.29571998,0.29424265,0.29309025,0.29348144,0.29624617,0.3008932,0.3060149,0.31000242,0.31201386,0.31154835,0.30875918,0.30422893,0.29928198,0.29484323,0.29123333,0.28829262,0.2860128,0.28472063,0.2846991,0.28655234,0.29062048,0.29665056,0.302894,0.30781552,0.31224295,0.32045543,0.33625624,0.3571407,0.37250492,0.3700403,0.3460156,0.30864188,0.2719948,0.24577278,0.23138697,0.22506624,0.22261447,0.22174817,0.22084558,0.21935041,0.2169755,0.21601306,0.21993816,0.23409401,0.2592785,0.28921303,0.309217,0.3073082,0.28282025,0.24849351,0.21964562,0.20413613,0.20012535,0.20177573,0.20478648,0.20777577,0.2106257,0.2133361,0.21560228,0.21910334,0.22820587,0.25023577,0.28625643,0.3268538,0.35126424,0.3458084,0.3127356,0.27178344,0.24137145,0.22907598,0.2298861,0.23528205,0.2391578,0.23944907,0.23763973,0.2360971,0.23692589,0.24174649,0.25362048,0.2765009,0.30872592,0.3398004,0.35250393,0.33815765,0.30199483,0.26237968,0.2344278,0.22407526,0.22602166,0.23274906,0.23855855,0.24244398,0.2452522,0.24777691,0.24923564,0.25038102,0.2553173,0.27082238,0.29792607,0.3278657,0.34466144,0.33916393,0.3149228,0.28659546,0.26774105,0.26698005,0.28456137,0.31306916,0.33636546,0.33849943,0.3152416,0.27875158,0.24852933,0.23816359,0.25054777,0.27995417,0.31487998,0.33996713,0.34186706,0.31826746,0.27958927,0.24337126,0.22406657,0.23002875,0.25901508,0.29813468,0.3248978,0.32267162,0.2915682,0.250039,0.21880706,0.2096232,0.22351694,0.25549325,0.29543987,0.32857338,0.34435868,0.34542927,0.3445295,0.35071293,0.36118296,0.3706145,0.37786904,0.38520062,0.38853428,0.3834134,0.37237167,0.36556694,0.3682283,0.37515298,0.37989572,0.38165152,0.38463107,0.3872001,0.38660285,0.38197994,0.37759683,0.3737017,0.36735007,0.35967764,0.35689196,0.36388806,0.37362707,0.37800738,0.3753755,0.37420776,0.3784109,0.38425517,0.3856964,0.3827071,0.37861422,0.37248763,0.3604112,0.34115875,0.3202859,0.30381742,0.29224226,0.27883378,0.2555385,0.21982253,0.17903371,0.14789766,0.14048363,0.16172864,0.20456342,0.25477105,0.29788136,0.32503211,0.33430997,0.33032012,0.32105622,0.3137705,0.3115296,0.31202307,0.30997416,0.29947695,0.27758446,0.2455126,0.20965542,0.17783813,0.15581429,0.14514942,0.1468869,0.16493465,0.20399809,0.26128626,0.3217961,0.36497185,0.37934935,0.36989048,0.35192505,0.33752587,0.3288911,0.32090557,0.3079355,0.28781453,0.26246312,0.2362998,0.2136017,0.19658095,0.18601914,0.18397208,0.19315195,0.21358466,0.23865086,0.2595208,0.27076995,0.27463126,0.2763485,0.27993193,0.28558242,0.2915219,0.29567236,0.2969462,0.2955207,0.29264852,0.28985313,0.28918222,0.2931212,0.3046778,0.32321906,0.34268567,0.3522373,0.34561014,0.32590428,0.3042737,0.28959176,0.2829379,0.27886996,0.2715082,0.25818247,0.23996924,0.22001064,0.20198655,0.18785,0.17930777,0.17853399,0.18962865,0.21272635,0.24234228,0.26749778,0.28155932,0.2848108,0.28431043,0.28547692,0.28975502,0.29393807,0.29456654,0.29053617,0.28439084,0.2805116,0.28175142,0.28786132,0.29707575,0.30919245,0.32676995,0.34922126,0.3705593,0.37930378,0.371011,0.34975174,0.32732436,0.3098091,0.29734242,0.2846216,0.26923943,0.25093648,0.23224902,0.21489294,0.20054151,0.19027628,0.18623702,0.19080053,0.20404512,0.22153984,0.23577791,0.24205357,0.24235612,0.24282515,0.24791342,0.256166,0.26340306,0.2664806,0.26669392,0.26733172,0.27104765,0.27721024,0.28354034,0.2891587,0.29679903,0.31148013,0.33541813,0.36387673,0.38484144,0.38616467,0.3643066,0.3277026,0.29128158,0.26596394,0.25372332,0.24843907,0.24292235,0.23302692,0.2198174,0.20682837,0.19757952,0.1938922,0.19670634,0.20693116,0.22343445,0.24187362,0.25497186,0.2586629,0.25435773,0.24837045,0.2453229,0.24553646,0.24523878,0.2403097,0.22898902,0.21299608,0.19699614,0.18624271,0.18423223,0.1920743,0.20970179,0.23827465,0.2763578,0.31708285,0.3446891,0.346347,0.32039905,0.28273198,0.25267422,0.24170853,0.24550848,0.25260302,0.25306514,0.24509303,0.23235947,0.2194875,0.20826648,0.19870394,0.1921855,0.1930403,0.20416407,0.22263397,0.23878415,0.24498086,0.24069874,0.23368263,0.23167928,0.23804943,0.25024056,0.262465,0.2692738,0.26771533,0.2599661,0.250926,0.24578466,0.24714763,0.25701612,0.2785312,0.3119925,0.34993228,0.37576246,0.3766931,0.35244587,0.31751418,0.28682646,0.26745614,0.25539684,0.24401508,0.22919178,0.21315877,0.20123829,0.19910426,0.20849405,0.2280869,0.25360337,0.28001103,0.30122682,0.31256256,0.31295595,0.30631793,0.29866874,0.29407182,0.29258135,0.29218197,0.29077438,0.28775755,0.28343844,0.27926466,0.2763579,0.27457222,0.27256122,0.2711393,0.27519536,0.2907019,0.31654966,0.34152663,0.35053658,0.33752903,0.31012368,0.2834588,0.26769698,0.26316532,0.26331738,0.26224864,0.25785983,0.25104284,0.2428575,0.23402983,0.22729973,0.22751339,0.23886025,0.25831416,0.27673516,0.28383088,0.2778647,0.26471382,0.25383747,0.24995773,0.25316027,0.25998002,0.26727602,0.27278426,0.2762084,0.27840376,0.28088632,0.28434587,0.288491,0.29147962,0.28990257,0.27924794,0.2557494,0.219599,0.17567126,0.13217928,0.09577564,0.069215186,0.051144827,0.039274536,0.032036502,0.028728457,0.028298497,0.029166916,0.029877298,0.029829988,0.029243251,0.028698131,0.028700814,0.02942493,0.030652627,0.03182784,0.032433234,0.0322555,0.03151879,0.030612485,0.029887645,0.029514834,0.029504277,0.02972953,0.029969612,0.030040467,0.029844692,0.029489478,0.0292716,0.02975239,0.03144662,0.034472708,0.038186744,0.04147205,0.043339927,0.043465648,0.04223637,0.0405885,0.040343568,0.044737685,0.057958167,0.082475066,0.115794815,0.1501417,0.17684156,0.19161735,0.1959358,0.19292139,0.18384558,0.16832443,0.14834309,0.1295412,0.1192294,0.12152507,0.13500066,0.15288182,0.16747166,0.17432569,0.17488974,0.1736307,0.17412733,0.17638767,0.1786444,0.17975523,0.18014885,0.18018486,0.17836517,0.1714307,0.1572859,0.13853545,0.12339758,0.12099292,0.13524866,0.1612953,0.18925844,0.20940872,0.21635778,0.20865738,0.18846256,0.16076817,0.13218829,0.108165145,0.09072322,0.07892648,0.070726015,0.06476017,0.060338378,0.05718656,0.0549636,0.053445667,0.052364696,0.051541556,0.05074432,0.049925428,0.049107324,0.04844511,0.04795146,0.047578692,0.04714844,0.046587277,0.045876667,0.045160588,0.044552594,0.044133008,0.043792546,0.043371543,0.04268002,0.04168721,0.04049017,0.039341073,0.038463727,0.037937284,0.037606046,0.03718965,0.036467943,0.035373926,0.03401572,0.032629248,0.03161071,0.03137803,0.032092627,0.033365566,0.03440241,0.03453694,0.03408395,0.03508022,0.041532967,0.057998385,0.08584732,0.12037101,0.1512317,0.16968639,0.17367162,0.1691583,0.16242911,0.15664451,0.15154608,0.14889331,0.15168834,0.16110231,0.17315465,0.18200274,0.1837666,0.17862952,0.16828646,0.1552978,0.14283758,0.13482594,0.13268302,0.13343091,0.13247511,0.129027,0.12809943,0.13500929,0.14950936,0.16511409,0.17486782,0.17611642,0.17101239,0.1632141,0.15508561,0.14644448,0.13574399,0.12161869,0.104579926,0.08664272,0.070423506,0.05762169,0.048771158,0.043258253,0.040054023,0.038181428,0.037203435,0.03704451,0.037698817,0.038798064,0.039822143,0.04033428,0.040303644,0.039899003,0.0393548,0.038826834,0.038428474,0.03820012,0.03804336,0.037816603,0.03739285,0.03681544,0.036202703,0.03580449,0.035896014,0.036685083,0.03814897,0.04011396,0.042783607,0.04714569,0.055145826,0.0687862,0.08894336,0.113681994,0.13809787,0.1555716,0.16084759,0.15246297,0.13335118,0.109927945,0.08997226,0.08106187,0.087296344,0.107431434,0.13421361,0.1587285,0.17492898,0.18234532,0.18395875,0.18311983,0.18154205,0.17959835,0.17699791,0.17361616,0.16955006,0.16546512,0.16212998,0.16031486,0.16019915,0.16118677,0.16207524,0.16131829,0.15781198,0.1507424,0.14015251,0.126559,0.11143803,0.09650343,0.08357972,0.07375202,0.067332946,0.06371982,0.06188791,0.060818475,0.059853006,0.058687627,0.057167705,0.055227187,0.05291134,0.050491434,0.04833575,0.046762276,0.04580149,0.04523763,0.044704746,0.043907594,0.04267283,0.041005854,0.039479572,0.03968154,0.044281784,0.05518782,0.071719386,0.08998373,0.1061725,0.11912357,0.1311297,0.14413397,0.15801893,0.16998841,0.17793208,0.18129675,0.18194087,0.18198182,0.18317474,0.1861673,0.19147927,0.19940722,0.20940419,0.21893512,0.22430396,0.22276843,0.21478714,0.20377241,0.19435231,0.19009782,0.19253622,0.2006445,0.21141674,0.22055192,0.224402,0.22126329,0.2122324,0.19974679,0.18574582,0.17123447,0.15790378,0.1495996,0.15003653,0.1590202,0.1707821,0.17732127,0.17345482,0.15942751,0.13958506,0.119106136,0.10132939,0.08735791,0.07674525,0.068983756,0.063614026,0.060360983,0.05850734,0.057227295,0.055719387,0.05373177,0.051507965,0.049571663,0.04829909,0.04771742,0.04759706,0.047641635,0.04764807,0.047492977,0.047289412,0.04799698,0.052240197,0.063988656,0.08616211,0.11731412,0.15039755,0.1752516,0.18325649,0.17167799,0.14574164,0.11776993,0.10217015,0.10718169,0.12980549,0.15742098,0.17789452,0.18612516,0.18566889,0.18197255,0.17884742,0.17679757,0.17563272,0.17541437,0.17699529,0.18106563,0.18733256,0.19375636,0.1972741,0.19533415,0.1881085,0.17850985,0.17066056,0.16679583,0.16665517,0.16866994,0.17259045,0.17956387,0.19046085,0.20387536,0.21585639,0.22164612,0.21715914,0.20202498,0.18080254,0.16269226,0.15495622,0.15710545,0.16047262,0.15590757,0.14157467,0.12344047,0.11040834,0.10904778,0.122073315,0.14789961,0.18065499,0.21190216,0.2336138,0.24100529,0.23261048,0.20980321,0.1764238,0.13867733,0.103568465,0.07644067,0.059182152,0.050393466,0.04696102,0.045876548,0.045273703,0.04450674,0.043649394,0.042879533,0.04224382,0.041661363,0.04109244,0.04054221,0.040027138,0.039516184,0.038968123,0.03840104,0.03798793,0.03807962,0.039133415,0.041369986,0.044943005,0.050297353,0.05909358,0.0728808,0.09142075,0.110581465,0.124977924,0.13122468,0.1313127,0.13008489,0.1317135,0.13597502,0.13980328,0.14043297,0.1386195,0.1378531,0.14134465,0.14928593,0.1584255,0.16387713,0.16169192,0.15082419,0.13402872,0.11627602,0.102951825,0.09713607,0.098930806,0.10525193,0.112071835,0.11649188,0.11799254,0.11736959,0.11513421,0.11086937,0.10401472,0.09557646,0.08904391,0.089293964,0.09834545,0.11231039,0.12238374,0.12201262,0.112074636,0.10085573,0.09715015,0.10505266,0.12311826,0.14746237,0.17454807,0.20080431,0.22259462,0.23610203,0.24002807,0.23579948,0.22628756,0.2129711,0.1951955,0.17267716,0.14718209,0.12305138,0.10466466,0.095335655,0.096183695,0.10618339,0.12145808,0.13610375,0.14350156,0.14043476,0.12933211,0.119615205,0.12129357,0.13903213,0.16683818,0.19331968,0.20797288,0.20729323,0.19357686,0.17275655,0.15151845,0.1348977,0.12422202,0.11770176,0.11512643,0.12081093,0.1405703,0.1742027,0.21230565,0.24179216,0.25426686,0.2500137,0.23463577,0.21445505,0.19388519,0.17559594,0.16106655,0.1506868,0.14409663,0.14010596,0.13734202,0.13451879,0.13119014,0.1270156,0.121495955,0.114470266,0.10864144,0.11020408,0.12539192,0.15455073,0.1887368,0.21418244,0.21973799,0.20383994,0.17358927,0.14076085,0.1151461,0.101388715,0.09819227,0.10140329,0.10710892,0.113286026,0.11895209,0.12356616,0.12741242,0.13201086,0.13891573,0.14808346,0.15870301,0.17170435,0.19053657,0.21703012,0.24611562,0.26566753,0.26368204,0.2375161,0.19663596,0.15669076,0.12931868,0.11636314,0.1118192,0.10947606,0.10900278,0.11643132,0.13777904,0.17283328,0.21303815,0.24759038,0.2695439,0.2790985,0.27997294,0.27605894,0.26923904,0.26021993,0.24920315,0.23675539,0.22429638,0.21383424,0.20663582,0.20192336,0.19711518,0.18970902,0.17910774,0.1670387,0.15607475,0.14795716,0.14263673,0.13894984,0.13555884,0.13178508,0.12758924,0.1233899,0.11968443,0.116754465,0.11451907,0.112604804,0.110734664,0.108947605,0.107664235,0.10722669,0.1076526,0.10849011,0.10924271,0.109545976,0.10944032,0.10907298,0.108578004,0.10772011,0.106336705,0.1045526,0.10287545,0.10156295,0.10052758,0.0998146,0.09992675,0.10142058,0.10411324,0.107096165,0.109278135,0.10999059,0.10920003,0.10723436,0.10441265,0.10130805,0.10046253,0.10700249,0.12536688,0.1529512,0.17815363,0.18754052,0.17653622,0.15360807,0.13278718,0.12409043,0.12816216,0.13969518,0.15148027,0.1582489,0.1568619,0.1466883,0.12923513,0.108666636,0.09090376,0.08149507,0.082421385,0.09130203,0.10345495,0.11581532,0.12875299,0.14448442,0.16390814,0.18452321,0.20175545,0.21118401,0.21110575,0.20313565,0.1913708,0.17980629,0.16965383,0.15989609,0.14982884,0.14177649,0.13888799,0.14194548,0.14729671,0.14994125,0.14657839,0.13759011,0.12544243,0.11329681,0.10332635,0.09638077,0.09179351,0.08830487,0.08489933,0.08139119,0.07806334,0.07528743,0.073164664,0.07156292,0.07011557,0.06842642,0.06634564,0.06407236,0.062028464,0.060492482,0.05951892,0.05897124,0.058643177,0.058295503,0.05766143,0.05665386,0.055373777,0.054100662,0.05295825,0.051868036,0.05059649,0.04900812,0.047190737,0.04543638,0.044104237,0.043373212,0.04313025,0.04304756,0.042885333,0.042702243,0.04274759,0.04317422,0.043807626,0.04431067,0.044429485,0.044171523,0.043712903,0.04320574,0.0426902,0.04199296,0.040936377,0.039463956,0.037979554,0.03714336,0.038567465,0.046876643,0.07101423,0.12078182,0.19534032,0.27809858,0.34197938,0.37126052,0.36926994,0.35479382,0.34295544,0.34123123,0.35065255,0.36946967,0.3909631,0.4036415,0.4006954,0.38415375,0.36362228,0.34709087,0.33992454,0.34577453,0.3645632,0.38875666,0.40415907,0.40180776,0.38318077,0.3592336,0.34000874,0.33315262,0.34191874,0.3642328,0.3884772,0.39944005,0.38908622,0.36337066,0.33541512,0.3164183,0.3116835,0.32321706,0.34769097,0.37468597,0.3899941,0.38624534,0.3676456,0.34520927,0.32855472,0.3239371,0.3343254,0.35744932,0.38261887,0.3965205,0.39262173,0.37604097,0.357416,0.34551346,0.34547284,0.35839334,0.38019243,0.39912948,0.40358266,0.38962233,0.36515674,0.34199086,0.330415,0.3368802,0.36336148,0.40325782,0.44098103,0.46153203,0.46116146,0.44654086,0.4266291,0.4079305,0.4008839,0.41489553,0.44928256,0.4839643,0.4980699,0.48681477,0.4663655,0.4528295,0.44871202,0.44480884,0.43421504,0.41926005,0.40798888,0.40680352,0.4159604,0.42974138,0.4406698,0.44410634,0.44151866,0.4377501,0.43747854,0.44090965,0.44580266,0.44939017,0.4514308,0.45279193,0.4544127,0.45644918,0.45872208,0.46105072,0.46285215,0.4636476,0.46327743,0.4618504,0.45901024,0.4542283,0.448675,0.44525743,0.44714382,0.45387235,0.46191022,0.46660742,0.4664277,0.4627272,0.45846343,0.4552516,0.45277056,0.44880638,0.44147134,0.43062684,0.4189743,0.40961063,0.40412876,0.40139297,0.39987364,0.39908504,0.39984813,0.40256786,0.40678927,0.41149306,0.41600025,0.41974008,0.42241994,0.42384377,0.42428467,0.42392087,0.4229239,0.42132828,0.41935858,0.41623583,0.40914834,0.39251447,0.36162242,0.31651297,0.26510552,0.21835469,0.18442719,0.16379328,0.15192527,0.1431097,0.13348539,0.12100798,0.10502722,0.08637164,0.066941865,0.04904848,0.034349326,0.024022961,0.0192986,0.022333598,0.034992162,0.05688588,0.08323234,0.106799446,0.12152353,0.12620343,0.12386479,0.11910614,0.11518213,0.112810574,0.11046958,0.10582421,0.09841321,0.091249846,0.089648545,0.097374,0.11340114,0.13247198,0.14804296,0.15586652,0.15477689,0.14673436,0.13541114,0.12566641,0.12117716,0.12260624,0.12592609,0.124948435,0.115251064,0.09820715,0.080549635,0.07093648,0.07459802,0.090674676,0.112801395,0.13374873,0.14862801,0.15655433,0.15858929,0.15725629,0.1549389,0.15331568,0.15136252,0.14618464,0.13510837,0.11895841,0.10258708,0.09329394,0.09617015,0.11095995,0.13108219,0.14883406,0.16004962,0.16661777,0.17213161,0.17807108,0.18228245,0.18222232,0.17730846,0.16927345,0.16025145,0.15192728,0.14528464,0.14095996,0.13843326,0.13651828,0.13385397,0.1305939,0.1278315,0.1273279,0.1302214,0.13708271,0.14694893,0.15711711,0.16375335,0.16408451,0.15822625,0.14875913,0.13903889,0.13117518,0.12613784,0.12387677,0.12438214,0.12716484,0.13169193,0.1366872,0.1410374,0.14394741,0.14609776,0.14858109,0.1518595,0.15420179,0.1530105,0.14667606,0.13628355,0.12473425,0.11493737,0.10849678,0.10514462,0.1032218,0.09978273,0.092181034,0.07919017,0.062363524,0.045464132,0.033394367,0.03055931,0.038939837,0.056664187,0.07771783,0.094870985,0.10337144,0.103281796,0.09820991,0.09239143,0.08884052,0.08838471,0.09001384,0.0906241,0.08688866,0.07681449,0.061805326,0.046589356,0.038107302,0.04324421,0.06430271,0.09651097,0.12794219,0.147493,0.15130456,0.14574446,0.14057113,0.14154361,0.1462477,0.14708722,0.13767074,0.1174956,0.09312595,0.07420037,0.06909452,0.08025104,0.10395024,0.13192993,0.15620768,0.17179202,0.17783785,0.17616372,0.16999765,0.16283174,0.1572945,0.15459757,0.15418844,0.15447535,0.15319411,0.14863223,0.14123373,0.1339228,0.1308734,0.1338433,0.14173178,0.1512417,0.160056,0.16694112,0.17169529,0.17426407,0.17498074,0.17440009,0.173081,0.17148364,0.1701262,0.1692162,0.16833971,0.16638634,0.16229324,0.15527143,0.1447221,0.13094747,0.11664932,0.107771575,0.11004902,0.12428572,0.14368528,0.15830812,0.16140324,0.1534572,0.14005007,0.1277883,0.12094992,0.12029627,0.12303978,0.12418594,0.11941227,0.10800914,0.09418108,0.08509018,0.0874195,0.10304332,0.12770194,0.15237512,0.16855232,0.17219222,0.16497982,0.15162937,0.136965,0.124543555,0.11617863,0.11204678,0.110536896,0.110234566,0.111201964,0.11504594,0.12239826,0.1316744,0.1403601,0.14693587,0.15124945,0.15286086,0.15086068,0.14512904,0.13753289,0.13134873,0.12880726,0.1299897,0.13215339,0.13172887,0.12566012,0.114186294,0.101081155,0.092848085,0.09473918,0.10776237,0.12763555,0.14736001,0.16103004,0.16634794,0.16493319,0.15972646,0.15298672,0.14539523,0.13832359,0.13458025,0.13712983,0.14550911,0.15509158,0.15938614,0.15381868,0.13785274,0.11573549,0.09603774,0.088744245,0.099362485,0.12399533,0.15054502,0.16667773,0.16730101,0.1560726,0.14039893,0.1266108,0.11776122,0.11431273,0.11445726,0.11497608,0.1124853,0.10538853,0.094362326,0.081923604,0.07164499,0.067537285,0.072398454,0.08546147,0.10187018,0.115373515,0.122288205,0.12293618,0.11973876,0.11438996,0.10685264,0.09629202,0.082542956,0.066664375,0.050638974,0.036584508,0.026402326,0.02179117,0.024553707,0.035757784,0.05434637,0.07592398,0.094377905,0.10495748,0.10696146,0.10326036,0.098092325,0.0948905,0.095373176,0.09937812,0.105179965,0.1103586,0.11319295,0.11362489,0.11353889,0.115590274,0.121557854,0.13081932,0.1404969,0.14722432,0.14921474,0.14741513,0.14489959,0.14514588,0.14987902,0.15739025,0.16300136,0.16173054,0.15228222,0.13878526,0.12827589,0.1255316,0.12973797,0.13655539,0.14300591,0.15000169,0.16001438,0.1729864,0.18512022,0.19125177,0.1877139,0.17449252,0.15497066,0.13567482,0.12235099,0.11716228,0.116331,0.114515625,0.109177105,0.10339263,0.10189718,0.1069462,0.11664752,0.1276856,0.13775052,0.14563191,0.15041107,0.15104502,0.1475371,0.14086132,0.13344528,0.12864658,0.13041417,0.14092271,0.1580798,0.17526866,0.18364756,0.17704661,0.15531099,0.12602954,0.10139877,0.091659404,0.09908751,0.11670649,0.13458766,0.14557613,0.14852792,0.14530982,0.13897203,0.13234034,0.12814997,0.12758142,0.12901075,0.12907994,0.12574181,0.121550985,0.12237958,0.13333483,0.15352176,0.17612123,0.19215739,0.19634424,0.18908639,0.17515962,0.15999632,0.14712878,0.13751872,0.1306016,0.12594837,0.123956986,0.12575327,0.13188803,0.14154659,0.15237689,0.16172683,0.16824467,0.17238462,0.17562538,0.1785661,0.18055058,0.18019553,0.17703497,0.17173146,0.16576423,0.16039191,0.15633494,0.15356748,0.15152578,0.14968772,0.14833063,0.14883949,0.15258831,0.15980907,0.16915186,0.1789052,0.18768011,0.1945558,0.19842656,0.19817506,0.1930403,0.1831259,0.16958107,0.15456517,0.14051008,0.12915874,0.12086759,0.11526448,0.11175907,0.109989405,0.109593004,0.11052003,0.11312605,0.117372744,0.12212658,0.1250415,0.1244951,0.120832436,0.11661726,0.11461685,0.11635528,0.12181145,0.13077922,0.14303757,0.15783398,0.17226653,0.18242168,0.18408771,0.17575938,0.15857686,0.1379247,0.119816415,0.10879978,0.10395291,0.10158495,0.09786412,0.092401356,0.086916335,0.083527386,0.08267659,0.082987346,0.08228436,0.07958687,0.07685342,0.07709686,0.08121001,0.08602942,0.08896208,0.09238569,0.10301513,0.12409795,0.15013905,0.1700431,0.17620914,0.17055102,0.16229475,0.1600491,0.16534603,0.17243733,0.17401497,0.16726275,0.15506639,0.14279908,0.1339513,0.12911154,0.12697841,0.12675017,0.12853883,0.13299191,0.13959138,0.14642744,0.15104093,0.15202577,0.14996505,0.1468072,0.14523698,0.14693762,0.15191899,0.15793999,0.16238059,0.16422932,0.16478787,0.1660877,0.1686443,0.1715905,0.17387618,0.17555916,0.17697674,0.17808156,0.17836396,0.17771214,0.17660987,0.17575622,0.17572902,0.1770394,0.18031234,0.1854528,0.19121243,0.19534098,0.19654793,0.19522566,0.19294202,0.19080399,0.18921544,0.18872613,0.19041388,0.19519229,0.20257886,0.21060336,0.21684961,0.21994264,0.2201686,0.21885563,0.21722876,0.21583615,0.2147826,0.21443634,0.21556513,0.2188897,0.22413985,0.22988933,0.2341941,0.23557745,0.23298578,0.22548145,0.21213186,0.19334239,0.17129065,0.14986908,0.13323009,0.12530416,0.12925446,0.14611198,0.17355184,0.20488167,0.23194449,0.2474048,0.24879336,0.23894107,0.225599,0.2170115,0.2175272,0.22599721,0.23759966,0.24800545,0.25466117,0.2571384,0.25556138,0.25065392,0.24363512,0.23650129,0.23142165,0.22980444,0.23206453,0.2378184,0.24625434,0.25775698,0.27595952,0.31078756,0.3699207,0.44984356,0.5251115,0.56722087,0.5597895,0.5178525,0.4658462,0.4272803,0.40470555,0.39540657,0.39116013,0.39068222,0.391626,0.394583,0.3978442,0.4010358,0.40288082,0.40385997,0.40414548,0.40482566,0.4053165,0.40544185,0.40416786,0.40277705,0.40348026,0.4103621,0.4242955,0.4385612,0.43718612,0.403023,0.3322623,0.23970242,0.15099873,0.08477002,0.045003954,0.024253694,0.013970622,0.0096919015,0.011897025,0.024135923,0.05067587,0.092862904,0.14542614,0.1957937,0.22863077,0.23456074,0.21651514,0.18840718,0.16513693,0.15309371,0.1493903,0.15243326,0.17196615,0.22605358,0.3207474,0.4346458,0.5258948,0.56424946,0.55160636,0.5160654,0.4836655,0.46352813,0.45045343,0.4383143,0.4249169,0.41207314,0.40198565,0.39666852,0.39637184,0.40030575,0.40656507,0.41312006,0.41809168,0.42053246,0.42144027,0.4230477,0.42758408,0.43558827,0.44639385,0.4583247,0.46687245,0.4636022,0.43806294,0.3858807,0.31340054,0.23686051,0.17366676,0.13510299,0.12278517,0.13019444,0.14731024,0.16569354,0.18216926,0.19757105,0.21318738,0.22762503,0.2376544,0.24081413,0.23697676,0.22771583,0.21541846,0.20282596,0.19254364,0.18396239,0.17669791,0.17575492,0.1998,0.26514554,0.36774316,0.4701486,0.5300327,0.53009284,0.4910729,0.44660285,0.41730654,0.40398598,0.39903304,0.3979152,0.3997372,0.40406632,0.4087799,0.41159534,0.4121374,0.41181305,0.41261318,0.4151115,0.4185846,0.42158595,0.42335817,0.42432675,0.4256802,0.42914045,0.43600976,0.44663608,0.4570553,0.4589108,0.4427791,0.40584692,0.35494342,0.30266693,0.26084152,0.23579209,0.2279253,0.23209555,0.23996337,0.24415852,0.24155891,0.23419513,0.22575986,0.21919684,0.21528524,0.21386667,0.21429215,0.21515016,0.2139498,0.2081814,0.19767094,0.18751264,0.18932463,0.21944578,0.2876127,0.3838198,0.47443104,0.5224367,0.5149009,0.4718894,0.42673513,0.3988817,0.38785258,0.38412485,0.38267887,0.38313004,0.38640305,0.39182115,0.3985367,0.40580976,0.41292205,0.4184514,0.42066815,0.41826499,0.41177377,0.40412986,0.39949754,0.4007336,0.40767696,0.4185182,0.4312661,0.4430643,0.4470173,0.43379447,0.39814758,0.3461343,0.2921469,0.24968542,0.22230269,0.20492466,0.18973629,0.17218971,0.1514759,0.12912536,0.107233554,0.087887876,0.07267091,0.062199738,0.055900797,0.052422155,0.05038224,0.048932474,0.04778683,0.046951026,0.046522975,0.047253545,0.05122121,0.0620161,0.0819799,0.10957807,0.1380336,0.15987484,0.17073362,0.17151089,0.1644957,0.15127139,0.13202721,0.10819005,0.08332638,0.06316567,0.054380745,0.061548907,0.0840601,0.11390159,0.14030932,0.15545996,0.15908562,0.15514559,0.14732926,0.13591667,0.1197807,0.09972716,0.08069291,0.07082679,0.07684157,0.0990448,0.12925391,0.15570794,0.17008086,0.17183185,0.16547358,0.15535086,0.14251809,0.12578878,0.10483587,0.08240041,0.06466665,0.05915575,0.07016238,0.09517735,0.1246017,0.14807534,0.16004016,0.16225655,0.15876622,0.15181674,0.13994892,0.12147758,0.09773823,0.074795984,0.06172817,0.06536016,0.08578708,0.11427363,0.13941853,0.15343389,0.1567071,0.15352549,0.14730884,0.13743503,0.12175942,0.10027716,0.07752497,0.061761964,0.06066687,0.07649153,0.10344889,0.13112088,0.15072125,0.15973394,0.16077472,0.15705252,0.14922738,0.13577585,0.11638275,0.09459091,0.0783106,0.07598408,0.090948634,0.1178266,0.14523733,0.16335152,0.16928457,0.16654612,0.15924454,0.14856595,0.13291007,0.11150909,0.08686242,0.06527635,0.05512559,0.06211527,0.085501276,0.116274126,0.14328885,0.15889178,0.16280659,0.15770642,0.14594321,0.12782179,0.10453686,0.08120775,0.06960267,0.08804674,0.1509297,0.25422585,0.36685088,0.44824457,0.4750969,0.45630038,0.4173994,0.3757671,0.33167145,0.2784696,0.21858625,0.16670881,0.14544095,0.17331587,0.25196847,0.35809663,0.45148134,0.500105,0.49852493,0.46559632,0.42131498,0.37292647,0.31674767,0.2529107,0.1926014,0.15697457,0.16820924,0.23360848,0.3352703,0.43104717,0.48339912,0.48133698,0.44572458,0.40150622,0.35899112,0.31198373,0.25538415,0.19625102,0.15338297,0.14994967,0.19902392,0.29299876,0.39784515,0.47393847,0.49847475,0.4807879,0.44338444,0.40195572,0.35454914,0.2956311,0.22892402,0.17183618,0.14804818,0.1756137,0.25465736,0.36034915,0.45325628,0.5038724,0.5132903,0.5087631,0.5173319,0.5437157,0.5692396,0.5737746,0.5529968,0.5242521,0.5098334,0.5212467,0.547986,0.56780106,0.5649397,0.54511,0.5304083,0.5392849,0.57015795,0.60172796,0.6105022,0.588808,0.55154794,0.5245476,0.52478546,0.5486844,0.5774202,0.5951457,0.59891343,0.59726626,0.5983743,0.604852,0.61371845,0.6208334,0.62305087,0.61861587,0.60525614,0.58165723,0.54828906,0.5110496,0.47631833,0.44965935,0.43032062,0.41266307,0.38440838,0.33461046,0.26120916,0.17745157,0.10288131,0.051763605,0.024723804,0.013939229,0.010298703,0.008806306,0.007696982,0.0067605725,0.0059606615,0.005276358,0.0046856212,0.004168671,0.0037088385,0.003297791,0.0029317457,0.0026086152,0.002319,0.0020490566,0.0017851392,0.001525872,0.0012820378,0.001071261,0.00090550614,0.0007842176,0.0006941948,0.00061709736,0.00053925446,0.00045714687,0.00037517794,0.00029944192,0.0002324365,0.00017412026,0.00012517958,8.993089E-05,7.440069E-05]