[3.8355298E-05,3.245405E-05,2.1250036E-05,1.0717603E-05,4.206193E-06,1.7001144E-06,1.2130735E-06,1.6222069E-06,0.00010564705,0.0010524893,0.0046861595,0.0138925435,0.030361766,0.052663878,0.07541623,0.092891544,0.10199311,0.10416595,0.102674104,0.10054787,0.098921806,0.09792628,0.097209066,0.096546166,0.09580487,0.09491693,0.09384922,0.09250346,0.090869784,0.08899063,0.087240696,0.08615867,0.086330295,0.08774108,0.08973537,0.091282874,0.09199345,0.09219435,0.09236736,0.0914686,0.087107964,0.07688275,0.06129384,0.043773893,0.029045695,0.019815313,0.016090093,0.015725764,0.016354429,0.016153635,0.014622939,0.012404394,0.011298669,0.013596356,0.021158481,0.034029484,0.049596068,0.063714795,0.0729501,0.076526634,0.07588774,0.07320032,0.06987912,0.06647306,0.06286733,0.05904374,0.055469215,0.05363174,0.055041134,0.060113475,0.06711502,0.07343412,0.07715631,0.078244396,0.07769454,0.07649564,0.07504404,0.07342622,0.07174767,0.07018737,0.06901001,0.06855271,0.06906188,0.07046635,0.07216755,0.07345769,0.07386312,0.07349538,0.072717845,0.07191142,0.07124206,0.070755266,0.07051133,0.07079994,0.07229823,0.07581246,0.081612274,0.08884872,0.09581202,0.100833096,0.103021495,0.102353506,0.09949214,0.09561837,0.09212921,0.08991999,0.08903282,0.088810414,0.088779874,0.08880227,0.089065045,0.089429,0.08959962,0.08906498,0.08749396,0.08450487,0.07991382,0.073699705,0.06655885,0.05967762,0.0545612,0.052184135,0.052959774,0.056929782,0.06393628,0.07325706,0.083009444,0.09091294,0.09542775,0.096771844,0.09616443,0.09486606,0.0934454,0.09212553,0.09088904,0.08985817,0.08897596,0.08830235,0.08755412,0.08653983,0.08494583,0.082810335,0.080217995,0.07747575,0.07485378,0.072613604,0.07078326,0.06928376,0.067987464,0.066901766,0.06607602,0.06572089,0.06594315,0.0666619,0.06726851,0.067139395,0.06596995,0.064150326,0.06227218,0.06075311,0.059607115,0.05861266,0.05751422,0.056114104,0.05437718,0.05246057,0.050692093,0.04936218,0.04854391,0.04804836,0.04759787,0.0470002,0.046244767,0.045436498,0.044707656,0.044124056,0.043664645,0.043232348,0.042693615,0.041944567,0.0409621,0.039834607,0.038739968,0.037875008,0.037416443,0.037404153,0.037762385,0.03825285,0.03866415,0.03883189,0.03874521,0.038434174,0.037974138,0.03744945,0.036940765,0.036545064,0.036286306,0.036197837,0.036159366,0.03604835,0.035674077,0.03505539,0.03431186,0.033677477,0.03325932,0.03314574,0.033896897,0.037170548,0.04578899,0.061780017,0.08424481,0.10822582,0.1276709,0.13873158,0.1420473,0.14074855,0.13823576,0.13632856,0.13583839,0.136835,0.1391102,0.14193523,0.14454602,0.14636101,0.14725608,0.14718223,0.14612363,0.14417136,0.14180698,0.13964188,0.13779198,0.13571651,0.13253339,0.12821592,0.12382665,0.12138174,0.122259356,0.12634617,0.13155062,0.13512647,0.13502187,0.1313185,0.12571226,0.12043724,0.116467364,0.11359287,0.11105897,0.10880887,0.107230835,0.10657541,0.10648644,0.1065096,0.1066682,0.10735146,0.10871914,0.110304564,0.111489266,0.11217907,0.11294716,0.11447233,0.11670073,0.11894984,0.12039844,0.121019155,0.12128076,0.12147668,0.12088883,0.118377976,0.113678165,0.10814964,0.10396173,0.10247794,0.10351739,0.10590648,0.108535625,0.11090135,0.112957895,0.11480532,0.11645296,0.11795322,0.11936263,0.12071299,0.12169301,0.12175512,0.120435975,0.117735535,0.11416609,0.11024505,0.10630518,0.1022855,0.098186344,0.09410044,0.09064507,0.08897901,0.09044701,0.09545841,0.10250764,0.108871035,0.11228552,0.11256525,0.11127659,0.11042098,0.11116049,0.11350137,0.116810024,0.120281674,0.123287916,0.12525304,0.12572841,0.124576144,0.12224853,0.11966429,0.11762955,0.11637762,0.11561314,0.115148336,0.1152302,0.11632168,0.11866197,0.12243694,0.12835489,0.13746619,0.14983161,0.16347723,0.17492062,0.18152332,0.1825267,0.17923908,0.17325203,0.16638206,0.15974857,0.15412134,0.14919804,0.14436813,0.13920681,0.1341265,0.13007319,0.12782316,0.12735657,0.12774737,0.12748705,0.12515055,0.119951956,0.112388335,0.10404683,0.09701112,0.09265929,0.09135004,0.09255455,0.09560964,0.100072615,0.10571238,0.112262525,0.11895064,0.12469391,0.12822169,0.12896366,0.12727313,0.12467014,0.1226773,0.12177715,0.120620646,0.11733674,0.111020766,0.102971286,0.09541134,0.09025535,0.08773314,0.08746938,0.089034855,0.09289662,0.09925589,0.10754746,0.11570024,0.12129485,0.12295082,0.12153036,0.119300485,0.11774847,0.116383724,0.113940984,0.110566854,0.108029544,0.10747766,0.107995264,0.107602336,0.10592786,0.1046604,0.105440915,0.10764145,0.108635955,0.10686531,0.10335813,0.10078185,0.100159496,0.10019796,0.09916804,0.097379945,0.09651267,0.09713534,0.09756738,0.0961129,0.093237795,0.09125012,0.091237895,0.0918599,0.09102577,0.088600785,0.086412124,0.085845955,0.086254776,0.08611233,0.08507509,0.08418163,0.08394897,0.08341477,0.08112594,0.077044114,0.072486244,0.06886596,0.06662116,0.06581301,0.06667634,0.06932145,0.0727425,0.07513658,0.07523485,0.07340622,0.07088885,0.06846759,0.066004485,0.06324003,0.061018497,0.061696738,0.06865754,0.08334727,0.10185373,0.11486349,0.11330885,0.09641493,0.072536625,0.053695638,0.046763267,0.051459704,0.06235692,0.07370231,0.08202577,0.086770535,0.08923378,0.09065676,0.091492884,0.091475286,0.09046671,0.08873573,0.08677479,0.08499437,0.083457194,0.08203644,0.08053589,0.078792,0.07635204,0.07278826,0.06855908,0.06636357,0.06962866,0.07995885,0.094227314,0.107100576,0.114432134,0.11643993,0.115665294,0.11460554,0.11397817,0.11356849,0.113043986,0.11254578,0.11310884,0.11721915,0.12785833,0.1453005,0.16401233,0.17446814,0.17044008,0.15592597,0.1442311,0.1489094,0.17442708,0.21393667,0.25541693,0.2881955,0.30550954,0.30213472,0.27634537,0.23393333,0.19186966,0.16851234,0.17226063,0.19327427,0.21341103,0.21717878,0.20091136,0.16919816,0.13079429,0.09402847,0.06570894,0.05008729,0.04871437,0.060220122,0.08056048,0.103377976,0.12296482,0.1369434,0.14839874,0.16264957,0.18236752,0.20295084,0.2142921,0.20789182,0.18470295,0.15736806,0.14420621,0.15939124,0.20446527,0.26764807,0.3297932,0.37383005,0.38922784,0.37316188,0.32977128,0.2720649,0.21915233,0.18831712,0.1847263,0.1996667,0.21801244,0.2288683,0.23015462,0.22586216,0.2201376,0.21392207,0.20618455,0.1970331,0.18922134,0.18471704,0.18189472,0.17614685,0.16686432,0.16127877,0.1715299,0.2053345,0.25860152,0.31722987,0.36450222,0.39035162,0.3923954,0.3727341,0.3341223,0.28108487,0.22308005,0.17186956,0.13618453,0.11701562,0.11153522,0.11855253,0.13953756,0.17357047,0.21280013,0.24601078,0.26539478,0.27111125,0.26807213,0.26136303,0.25355947,0.24598406,0.23977011,0.23635805,0.2366849,0.24072592,0.24634166,0.24956624,0.24596204,0.23374514,0.21490695,0.19393606,0.17477061,0.15875553,0.14522886,0.13270737,0.120781355,0.10992288,0.10130689,0.09540207,0.09185598,0.08966985,0.088018715,0.0864966,0.08505281,0.083689414,0.08238814,0.08098209,0.079325974,0.077294014,0.07504264,0.07288888,0.07124525,0.07028237,0.069859155,0.06957368,0.06898189,0.067803055,0.06599307,0.06381414,0.061670616,0.059938908,0.058666978,0.057657797,0.056589376,0.055335175,0.05391395,0.05254675,0.051454082,0.05083986,0.05065642,0.050689816,0.050636277,0.050366774,0.04987273,0.04920483,0.048361477,0.04738998,0.046473768,0.04583609,0.045614038,0.04561356,0.045544345,0.045083955,0.044278156,0.043241233,0.042182956,0.04102282,0.039687853,0.03809524,0.03640649,0.034845967,0.03360651,0.032706954,0.031972606,0.031212447,0.030281084,0.029254256,0.028238514,0.027410766,0.02683826,0.027113898,0.029922446,0.03892711,0.05828501,0.08992878,0.13014889,0.17017995,0.20070125,0.2174031,0.2230231,0.22363818,0.22439797,0.22754584,0.23406903,0.24451761,0.2575002,0.26959565,0.27723706,0.2801701,0.2807143,0.28113303,0.28162375,0.28116527,0.2792444,0.27593765,0.2711019,0.2634993,0.2515565,0.23502131,0.21664299,0.20167889,0.19524288,0.19913252,0.2110615,0.22658806,0.24192558,0.2550228,0.26502386,0.27105153,0.27209044,0.26713148,0.2555484,0.23713243,0.21255808,0.18422408,0.15605925,0.13237664,0.11552015,0.105320774,0.09955742,0.09601424,0.09319212,0.09080434,0.088933766,0.088005684,0.08857641,0.09226414,0.10202694,0.12104847,0.15012306,0.18501104,0.2179188,0.2410599,0.25106475,0.24824767,0.2340191,0.20855027,0.17290884,0.13210537,0.09553442,0.07373759,0.07394865,0.09785768,0.13984053,0.18848753,0.22923164,0.25194082,0.25384003,0.23956962,0.21520655,0.18613356,0.15646945,0.13024388,0.11016839,0.09657536,0.08766664,0.08144765,0.07713005,0.07533092,0.07682296,0.08142665,0.088842936,0.10028744,0.11982548,0.14943577,0.185181,0.21437353,0.22464155,0.2106008,0.17946835,0.1442315,0.11784825,0.10778994,0.11649261,0.14127876,0.17439105,0.2044041,0.2210171,0.22013916,0.2052973,0.183746,0.16141589,0.14069583,0.12277499,0.11134747,0.11290416,0.13144839,0.16334504,0.19737726,0.22340067,0.23818433,0.24575698,0.24943171,0.24844916,0.23911947,0.2205037,0.19584654,0.17077528,0.1495096,0.13364467,0.122393526,0.11425871,0.10766422,0.10171338,0.09616461,0.09149549,0.08838897,0.08711568,0.08720767,0.08740622,0.086206585,0.08226871,0.07564797,0.06902782,0.06906027,0.084289275,0.12019048,0.17351633,0.23229086,0.28243813,0.31512406,0.33011863,0.33200887,0.32711497,0.32004604,0.31408942,0.30916688,0.3019745,0.28625858,0.2572798,0.21602409,0.17082144,0.1334791,0.113060236,0.11232364,0.12740009,0.15112805,0.17539382,0.19542007,0.20992772,0.22096626,0.22920895,0.23366614,0.23199491,0.22382975,0.21024881,0.193022,0.17335893,0.15282099,0.1338291,0.119099826,0.11001542,0.105610676,0.103190355,0.100385,0.096774675,0.09348302,0.09136511,0.08970347,0.08742556,0.08441257,0.08238874,0.0837416,0.09114803,0.1058928,0.12654835,0.14765276,0.16270505,0.16845089,0.16748601,0.16501142,0.16407853,0.16301352,0.15789615,0.14586473,0.1278138,0.10736287,0.08920654,0.07611851,0.06857083,0.064945705,0.06354029,0.06298011,0.06265678,0.06209256,0.06127633,0.060282707,0.0594146,0.05872033,0.05830813,0.05820814,0.058442954,0.058780823,0.05885793,0.058500364,0.057744335,0.056841012,0.055832714,0.054818388,0.05377425,0.052890997,0.052488696,0.053907517,0.059200633,0.06977723,0.083042115,0.09265893,0.09178873,0.07955516,0.06128933,0.045507703,0.037705213,0.039139587,0.047401357,0.058641523,0.0691765,0.076888055,0.08265062,0.090506285,0.10620835,0.13409415,0.1718971,0.20983066,0.23320143,0.23273776,0.20929639,0.17414169,0.13910262,0.110931784,0.0911071,0.083505295,0.10008267,0.1546154,0.24890804,0.35970044,0.44908404,0.48687765,0.47353268,0.43401253,0.3975452,0.37535068,0.36096933,0.3415644,0.3123152,0.2783797,0.25021783,0.23474626,0.23362549,0.2431798,0.25921467,0.27594593,0.28900278,0.29483595,0.29422614,0.28966784,0.2838314,0.2769351,0.26851,0.2597421,0.25489047,0.25839826,0.2704991,0.28443408,0.29021463,0.28056744,0.25566676,0.22180897,0.18781827,0.16086876,0.14396836,0.13571149,0.13195671,0.12945819,0.12719804,0.12674803,0.13045894,0.14073642,0.15811424,0.18024461,0.20178209,0.2171188,0.22353055,0.22290331,0.22021176,0.22008067,0.22380944,0.22904597,0.2324888,0.23319937,0.23405369,0.23919016,0.25010213,0.26315832,0.27246937,0.27421957,0.26964894,0.26298478,0.25822604,0.25693622,0.25838432,0.26238182,0.27251565,0.29892433,0.350878,0.4257373,0.4992157,0.5378673,0.5200844,0.45462355,0.37161604,0.30193457,0.2582008,0.23563243,0.22224407,0.21018863,0.19862936,0.19249557,0.19482724,0.20337127,0.20851034,0.20335372,0.18764782,0.1700546,0.15842025,0.15675257,0.16423154,0.17884348,0.19733727,0.2138868,0.22265868,0.22123927,0.21410032,0.20787823,0.20614928,0.20600624,0.20210154,0.19217509,0.17911464,0.16889293,0.16673635,0.17554359,0.19463241,0.2204384,0.24947684,0.28429973,0.333516,0.4029353,0.4813322,0.5397043,0.548046,0.49876416,0.41339752,0.32652915,0.26360062,0.22971684,0.21616435,0.21086372,0.20636912,0.20070164,0.19600423,0.1952889,0.19963102,0.2070906,0.21369588,0.21656944,0.21574984,0.21492918,0.21878763,0.22999494,0.24676342,0.26419604,0.27828383,0.2891532,0.30009392,0.31255603,0.32322165,0.3260046,0.3180044,0.30180624,0.2835267,0.26797682,0.25716755,0.2508001,0.24819635,0.24843985,0.25036776,0.25200066,0.25188684,0.24996118,0.24867423,0.25045738,0.2557165,0.2611635,0.26277685,0.2588304,0.2520878,0.24735378,0.24808502,0.25335392,0.25936365,0.26208758,0.26000917,0.2536351,0.24424528,0.23318177,0.22138567,0.21066862,0.20360625,0.20555896,0.21984023,0.24442601,0.26677242,0.27329913,0.25931984,0.23971413,0.24178977,0.28858742,0.3785877,0.4787368,0.5421811,0.5369609,0.46835172,0.37011337,0.28089496,0.22168374,0.1938368,0.18705231,0.190336,0.19653106,0.20470677,0.21490942,0.22546202,0.22930594,0.22238682,0.20585684,0.1882286,0.17558171,0.16987891,0.16782324,0.16689529,0.16567075,0.16448642,0.16358966,0.16325076,0.16359186,0.16431485,0.16525222,0.16574758,0.1656393,0.16456439,0.16327392,0.1628033,0.16396838,0.16603146,0.16680022,0.16551423,0.16611423,0.18068989,0.22523637,0.3075167,0.413797,0.5077017,0.5522086,0.5322471,0.4669052,0.38990912,0.33035016,0.29615796,0.2826119,0.27898124,0.27841124,0.2751981,0.26754427,0.25606534,0.24698399,0.24629696,0.25673696,0.27294728,0.2865835,0.2904545,0.28421342,0.2720307,0.25978366,0.25063235,0.24581327,0.24594711,0.2524759,0.26460433,0.27813208,0.28596437,0.2842646,0.27354953,0.25839218,0.24236856,0.22838442,0.21846735,0.21474378,0.21729048,0.22384225,0.23081176,0.23583652,0.23835872,0.23884912,0.23708208,0.23214827,0.22351325,0.21232565,0.20130318,0.19316347,0.18877383,0.18620807,0.18200535,0.17386651,0.1633579,0.15568458,0.15757853,0.17228489,0.19771808,0.2255749,0.24773295,0.25950566,0.26311514,0.26217425,0.2601992,0.2576904,0.25644293,0.25946537,0.27386722,0.30901888,0.37215152,0.45788822,0.53997976,0.58138347,0.55679405,0.47466472,0.3708123,0.28428215,0.23393555,0.21598218,0.2162746,0.22224425,0.22817641,0.23394942,0.24054165,0.24638195,0.24596243,0.23563981,0.21710165,0.19779122,0.18461661,0.18025458,0.18290651,0.18902022,0.19568597,0.20132785,0.20595187,0.21066034,0.21682328,0.22527643,0.2352826,0.24516378,0.25250292,0.25571445,0.25392252,0.24792975,0.23938014,0.2304626,0.22197366,0.21424055,0.21013667,0.2202738,0.26042315,0.33885852,0.43979445,0.52402264,0.5515706,0.51111865,0.42616382,0.33531284,0.26533747,0.22205518,0.19814079,0.1847719,0.17690802,0.17277378,0.17256247,0.17680733,0.18510641,0.19563554,0.20536625,0.21169524,0.21290946,0.20991705,0.20559943,0.20409568,0.20715511,0.2136962,0.22119422,0.22934692,0.24005039,0.25306773,0.26379773,0.26427263,0.25169262,0.22992034,0.20921636,0.19745876,0.19847316,0.20969577,0.22699465,0.24498414,0.2607598,0.2711686,0.2755159,0.27390227,0.27102926,0.27131233,0.27683833,0.28270057,0.2822565,0.2715945,0.25443873,0.23800956,0.228258,0.2246654,0.22257926,0.21734536,0.20928925,0.20309846,0.20436798,0.21529472,0.23351473,0.254311,0.27442077,0.29439172,0.316815,0.3410368,0.36004928,0.3636411,0.3482403,0.32389322,0.31381193,0.34045538,0.40871087,0.49340543,0.5509262,0.54605365,0.47904125,0.38308254,0.29886457,0.24792625,0.22768426,0.22475265,0.22817124,0.23459335,0.2448874,0.2592392,0.27407205,0.28236106,0.2793784,0.2656012,0.24711423,0.22992718,0.21759136,0.21058792,0.20807095,0.20830488,0.2086823,0.20690262,0.2021925,0.19630812,0.19267444,0.19468385,0.20383434,0.21859755,0.23563318,0.25104952,0.26260465,0.2685939,0.26856208,0.2618775,0.25036052,0.23915713,0.24096943,0.27324307,0.3472339,0.45004514,0.54068154,0.57211393,0.52551466,0.42484856,0.31677997,0.23770095,0.19681247,0.18373306,0.18360251,0.18611132,0.18633871,0.18378116,0.18081409,0.18061823,0.18480134,0.19229257,0.20005895,0.20479089,0.20508315,0.20315212,0.20411646,0.21261925,0.22846486,0.24688232,0.26219562,0.2731117,0.28012407,0.28304943,0.27698645,0.25958532,0.23263723,0.20449376,0.18171835,0.16713446,0.15843558,0.15251347,0.14738424,0.14274405,0.13924156,0.13750474,0.13802463,0.14065856,0.14451276,0.14784753,0.14920855,0.14810497,0.14554551,0.14288901,0.14140292,0.14140289,0.14246017,0.1434596,0.14358701,0.14329028,0.14417906,0.14748172,0.15241374,0.15629984,0.15690398,0.15396065,0.14938538,0.14518416,0.14254735,0.1413949,0.14121254,0.14271976,0.15093273,0.17781733,0.23691528,0.32996687,0.43377352,0.5065622,0.5134138,0.45262417,0.35719466,0.2717128,0.22477518,0.21858424,0.23683655,0.26065043,0.2789733,0.29137847,0.30200788,0.31384113,0.32480386,0.33110496,0.33045155,0.32420507,0.3150858,0.30526146,0.29563203,0.2871689,0.28158566,0.28091276,0.28560954,0.29366228,0.30140114,0.3057439,0.30574477,0.30142123,0.29221725,0.27691665,0.25661653,0.2371086,0.2264647,0.22981729,0.24442522,0.26268986,0.27896646,0.29692507,0.32898244,0.3850564,0.45993385,0.5268381,0.5549553,0.5296195,0.4672704,0.399127,0.3509954,0.32792804,0.32153562,0.32097328,0.32034084,0.31850234,0.31644943,0.31590053,0.31756458,0.3205317,0.32198974,0.3179748,0.30566117,0.28622553,0.2664955,0.25474098,0.2542582,0.25996873,0.26446912,0.26500976,0.26737508,0.2785233,0.30194452,0.33262143,0.3625525,0.38270843,0.38927254,0.38341126,0.3710908,0.35746065,0.34383592,0.32772753,0.30724943,0.28349826,0.26023772,0.2407325,0.22627752,0.21589279,0.20786141,0.2009929,0.19531262,0.19109468,0.18796033,0.18458833,0.18001164,0.17415202,0.16777289,0.16180308,0.15689091,0.15345071,0.15092938,0.14863928,0.14593774,0.14423265,0.1465667,0.15814815,0.18301894,0.22073202,0.26175788,0.29070398,0.29569903,0.28089347,0.26920947,0.29034653,0.3582952,0.4544369,0.5332754,0.5514475,0.49899134,0.40610704,0.320025,0.2728641,0.26761588,0.2857803,0.3072651,0.32134056,0.33013165,0.34069598,0.35930288,0.3840336,0.4060334,0.41366324,0.4021226,0.37631425,0.34692428,0.3206714,0.2967156,0.2710581,0.2446429,0.22507668,0.22022772,0.23055537,0.24731873,0.25927475,0.259596,0.2502173,0.23912369,0.23620999,0.2458307,0.26388934,0.279439,0.28395498,0.27670792,0.2657187,0.2632158,0.28449515,0.34003475,0.42568994,0.5137792,0.56883264,0.5707857,0.53089374,0.47683015,0.43077007,0.39701426,0.369543,0.34246644,0.31490275,0.288451,0.265749,0.24801193,0.23635708,0.22912055,0.22546484,0.223311,0.22352147,0.22569819,0.2308913,0.23718293,0.24270086,0.2435262,0.23895712,0.23178935,0.23080873,0.243962,0.27461573,0.31638238,0.35883975,0.39119768,0.40844467,0.41058263,0.40218976,0.38960627,0.37808642,0.37027368,0.36504412,0.3596621,0.3506519,0.336542,0.3170538,0.29400173,0.26904127,0.24562101,0.2273491,0.2196378,0.2259916,0.2470916,0.27764925,0.30897927,0.33292496,0.34622517,0.35065523,0.34981883,0.34652713,0.34188783,0.33619884,0.3294398,0.32165682,0.31232703,0.30068234,0.2858491,0.26891088,0.25201634,0.23751627,0.22548354,0.21542297,0.2073154,0.20254898,0.20126067,0.20205455,0.20224907,0.20128143,0.19998127,0.20130558,0.20643009,0.21598828,0.2272228,0.23798831,0.24618597,0.25462106,0.26834154,0.293156,0.32871342,0.36754295,0.3976886,0.4104118,0.4049065,0.38753748,0.36692336,0.34898958,0.33491504,0.32152817,0.3040953,0.28002656,0.2518532,0.22675611,0.21367152,0.21855326,0.24088638,0.271346,0.29570544,0.30174744,0.2877704,0.26165387,0.23622455,0.21973442,0.2147683,0.21673232,0.21959502,0.21680002,0.20642872,0.19007826,0.17316431,0.16061538,0.1548994,0.15479533,0.15714164,0.1593746,0.16067421,0.16143145,0.16177207,0.16082494,0.15753825,0.15151268,0.14383167,0.13602768,0.12918396,0.123201735,0.11767564,0.11281101,0.10950988,0.108460665,0.109238125,0.11048755,0.11095787,0.110399626,0.10966528,0.10970064,0.11075296,0.111969866,0.112212084,0.11064321,0.10747671,0.10416321,0.10391001,0.111384116,0.1305208,0.16130434,0.19707614,0.22755079,0.24394542,0.24502605,0.23566681,0.22318138,0.21210419,0.20421849,0.19959976,0.19831003,0.2005366,0.20652662,0.2162364,0.22888851,0.24302243,0.25742197,0.27120188,0.28319684,0.29088104,0.29166588,0.28474438,0.27248228,0.25873458,0.24716659,0.23958737,0.23699115,0.2391101,0.24506669,0.25241092,0.25863412,0.26116922,0.25861314,0.25068566,0.23970546,0.23011707,0.22696884,0.23255046,0.24496579,0.25912902,0.26994133,0.27512583,0.27564916,0.27431095,0.27334765,0.27372065,0.27535248,0.27763686,0.2797009,0.28011164,0.27855638,0.27531576,0.27235663,0.2702066,0.26920483,0.26768494,0.2651219,0.26111147,0.2569038,0.25357562,0.25195035,0.25190592,0.25265345,0.25317276,0.25236067,0.24899833,0.24206837,0.2311166,0.21702832,0.2009638,0.18344939,0.16422836,0.14650442,0.14151287,0.1685641,0.2418309,0.35428736,0.47200513,0.5533542,0.5758473,0.5479807,0.49731246,0.44756612,0.40997782,0.38375413,0.36591783,0.35217288,0.34050456,0.32961607,0.32155716,0.31846657,0.32171258,0.32902977,0.33704782,0.34252095,0.3446933,0.34434137,0.34308934,0.3421556,0.34181067,0.3420801,0.3436421,0.34841356,0.3563825,0.36320797,0.36075452,0.34401342,0.31540075,0.2832085,0.25390518,0.22819124,0.20311548,0.17723386,0.1525018,0.13234942,0.11957388,0.11633652,0.12541465,0.1487875,0.18488143,0.22590105,0.2614285,0.283347,0.2905915,0.286832,0.27684355,0.2632863,0.24729086,0.22985531,0.21246862,0.1978205,0.19006175,0.19420302,0.21249795,0.2412241,0.27173233,0.2975121,0.32112435,0.3533424,0.40145278,0.4568223,0.4945526,0.4914156,0.4472547,0.3913125,0.36410296,0.3878785,0.4494176,0.5076634,0.52513295,0.49269366,0.43407238,0.38064513,0.34999606,0.3378584,0.33195582,0.3229744,0.30997857,0.29673913,0.28896236,0.2889235,0.29334226,0.2930219,0.28184864,0.26098636,0.23960018,0.22449733,0.21640752,0.20982957,0.20059092,0.18809883,0.17528619,0.16494949,0.15915412,0.15894993,0.16436064,0.17323755,0.18138598,0.18552528,0.18483162,0.18140984,0.1767367,0.17169847,0.16591787,0.1598324,0.15553783,0.16074629,0.19071792,0.26013115,0.3667418,0.4798976,0.5541439,0.5593732,0.5020481,0.41771802,0.34323052,0.29724884,0.27805915,0.2752286,0.2780573,0.27972624,0.2776976,0.2733693,0.27027866,0.27042818,0.27258494,0.2734129,0.27134195,0.26832184,0.2684479,0.27418742,0.2847145,0.2960755,0.3047836,0.3093759,0.3125497,0.31758538,0.3253364,0.3310242,0.32786548,0.31260562,0.2878562,0.25934872,0.23110469,0.20457739,0.18007432,0.1580993,0.1396642,0.12615217,0.121107705,0.13059111,0.16100311,0.2125107,0.27487683,0.33063072,0.36572668,0.37727556,0.3722652,0.35981202,0.34590268,0.3333563,0.32313633,0.31446922,0.30490956,0.29253855,0.27885708,0.26879737,0.26750335,0.27641454,0.29376325,0.31981814,0.36048195,0.42086878,0.49301776,0.5497211,0.5608198,0.517101,0.44598973,0.39528373,0.40059665,0.45774874,0.52431494,0.55126566,0.516019,0.43609932,0.3484938,0.28357393,0.24896985,0.23660415,0.23432098,0.23571731,0.2399259,0.24945493,0.26269013,0.27310303,0.26974407,0.24823777,0.2130518,0.1778518,0.1550871,0.15205376,0.1671812,0.19291794,0.21819614,0.23399335,0.23637183,0.22752582,0.21328376,0.19992606,0.19129807,0.1870896,0.1846689,0.18172084,0.1793297,0.18088125,0.18928395,0.20370121,0.2191773,0.23166819,0.24423192,0.2713878,0.32970658,0.42217627,0.52412015,0.5936412,0.59802896,0.5383758,0.446782,0.36199674,0.30672237,0.2821683,0.27838096,0.28396335,0.29137066,0.29666743,0.29928133,0.3000321,0.30018923,0.2996769,0.29836294,0.29582393,0.29296002,0.29060534,0.28943023,0.28880295,0.2875241,0.28548905,0.28431073,0.28783146,0.29880166,0.3167812,0.33509335,0.34469342,0.33908686,0.3195944,0.29227123,0.2628325,0.2326781,0.20154305,0.17046694,0.1429831,0.12318927,0.11524767,0.123669624,0.15216126,0.19900827,0.2542241,0.30233613,0.3316981,0.3398112,0.33283445,0.317984,0.2999306,0.27993998,0.2590294,0.23870324,0.22185613,0.21264137,0.21676464,0.23765671,0.27280986,0.31167105,0.34379008,0.3666092,0.39047694,0.42606965,0.4722887,0.50812465,0.51001924,0.47127846,0.41559386,0.38186753,0.3967423,0.4536407,0.5149887,0.54235226,0.52113986,0.47012863,0.41705346,0.37928507,0.35477984,0.3361511,0.31908622,0.30472633,0.29437754,0.28939927,0.29010758,0.2948245,0.29658553,0.28824952,0.26761457,0.24060477,0.2151159,0.19558541,0.18179823,0.17150618,0.16344714,0.15738209,0.15432109,0.15533136,0.16094713,0.17047185,0.18180211,0.19202803,0.19814728,0.19892101,0.19546455,0.19003151,0.18381248,0.17600931,0.16599916,0.15621549,0.15537904,0.178698,0.2408178,0.34099507,0.45225382,0.53021425,0.5424214,0.49089134,0.41006747,0.33807766,0.2952528,0.27882597,0.27702847,0.27932027,0.2816033,0.28324503,0.28501305,0.28694192,0.288955,0.29088655,0.2927473,0.2941427,0.2948993,0.29632953,0.30020133,0.30637422,0.31097424,0.30991623,0.30363357,0.29810497,0.300339,0.31111202,0.32397583,0.32822844,0.31817034,0.2948287,0.26572374,0.2366883,0.21083312,0.18721664,0.16520107,0.14436646,0.12654245,0.11585698,0.11966759,0.14480884,0.19196849,0.25157273,0.30760446,0.3463653,0.36349377,0.3633939,0.353994,0.3415486,0.32892427,0.31621543,0.30268577,0.2883006,0.27404383,0.2621477,0.2554948,0.25726512,0.26812163,0.28677222,0.31281936,0.3521359,0.4108527,0.48409548,0.5461901,0.56560725,0.5294439,0.46176574,0.40988493,0.4111773,0.46558392,0.53349113,0.5661249,0.5370075,0.45940316,0.36878005,0.29720426,0.255514,0.23684289,0.23004925,0.22835274,0.23249702,0.2451026,0.26542535,0.2842693,0.2881764,0.26892552,0.23086458,0.18888451,0.15846197,0.14852083,0.15861182,0.18188144,0.20738523,0.22548872,0.23076199,0.22449203,0.21188194,0.1991209,0.1900739,0.18494262,0.18144949,0.17696142,0.17170674,0.16869257,0.1716742,0.18148375,0.19459116,0.20678848,0.21995829,0.24792196,0.31021938,0.4138867,0.53480095,0.6209932,0.6254496,0.5406005,0.4070886,0.28162748,0.20288068,0.17391147,0.1771862,0.1912344,0.20382577,0.21079892,0.21392338,0.2163257,0.22099054,0.22880693,0.23891275,0.24916841,0.258242,0.26618215,0.27389508,0.28120494,0.28591332,0.28486484,0.2763163,0.26280877,0.2509173,0.24747378,0.2540089,0.26490307,0.27201068,0.27013585,0.25982812,0.24384974,0.22464313,0.20281486,0.17952938,0.1566567,0.13657533,0.11948786,0.10425376,0.08948732,0.076321244,0.0668685,0.06257275,0.06224243,0.06392616,0.06688849,0.073020875,0.08429473,0.10026083,0.116288505,0.12716015,0.13039105,0.12935181,0.13133661,0.14467068,0.17318106,0.21242376,0.24995764,0.27244034,0.27448627,0.26140895,0.24412316,0.23101686,0.22489454,0.22631367,0.23956053,0.2757372,0.34447312,0.44095096,0.5351634,0.585819,0.56581813,0.48497763,0.3809922,0.29348096,0.2400911,0.21527497,0.20305677,0.19121988,0.17778845,0.17032306,0.17819512,0.20437168,0.240647,0.2738169,0.29334363,0.29684028,0.2864988,0.26645094,0.2405842,0.21378279,0.18946008,0.1689793,0.15113823,0.13534673,0.1221422,0.11361903,0.11249512,0.12051543,0.13635428,0.15383111,0.16596796,0.16931994,0.16680823,0.16324353,0.16079718,0.15876581,0.15976131,0.17654765,0.22855413,0.3259316,0.45114732,0.55841637,0.6006117,0.5612805,0.46744463,0.36570296,0.29173866,0.25293967,0.23866813,0.23613042,0.23908287,0.24602473,0.25518736,0.26402226,0.26998615,0.2722021,0.27126405,0.26820096,0.26436475,0.26015058,0.25611177,0.2521269,0.24854355,0.24484855,0.24099152,0.23760377,0.23669244,0.23777182,0.2365234,0.22591116,0.20413363,0.17616402,0.1514294,0.13527985,0.12781416,0.12533887,0.1248327,0.124436885,0.123560704,0.12224853,0.121301234,0.12136027,0.12231308,0.123102106,0.12282295,0.12165067,0.12129608,0.12467318,0.13479681,0.15268892,0.1757323,0.19794412,0.21375443,0.22130282,0.22386013,0.22699921,0.23509865,0.24900441,0.2659733,0.28323913,0.30052373,0.32241687,0.35333696,0.39209926,0.4269062,0.441848,0.4292586,0.40056932,0.38313076,0.40184352,0.4588224,0.52622837,0.56424063,0.54831916,0.4864519,0.4085581,0.34405133,0.30462196,0.2858045,0.27599946,0.26648813,0.25522742,0.24708061,0.24752463,0.25648168,0.2661977,0.2681943,0.2598781,0.245831,0.23182757,0.22137628,0.21546847,0.2150514,0.21931405,0.22528861,0.22849351,0.22765894,0.22584943,0.2280326,0.2362258,0.24709702,0.2549236,0.2551428,0.2475694,0.23481703,0.22131598,0.210795,0.20582925,0.20700194,0.21654554,0.242388,0.2988126,0.3931342,0.5096652,0.6047459,0.6333193,0.58069104,0.47756198,0.37280774,0.30108485,0.26480097,0.24907595,0.23907487,0.23030657,0.22410701,0.22252141,0.22482789,0.22803412,0.22851498,0.22403426,0.21498685,0.20422058,0.19598955,0.19443293,0.20223807,0.21929313,0.24246065,0.26682052,0.28827336,0.30521813,0.31700063,0.32175124,0.3146734,0.29137763,0.25105828,0.19979481,0.14951782,0.11385102,0.10294197,0.11735296,0.14885543,0.18319021,0.20991439,0.22588407,0.23621581,0.24660258,0.25947383,0.27227506,0.28170142,0.28552318,0.28381586,0.27727434,0.26704356,0.25380602,0.23831262,0.22141452,0.20495729,0.19192587,0.18648452,0.19285737,0.21206486,0.23901689,0.2620218,0.2700975,0.2593652,0.23675108,0.21313982,0.1977557,0.1938256,0.20190662,0.22344236,0.26426196,0.3298324,0.41560245,0.49738407,0.5408514,0.52250296,0.4503812,0.35697702,0.2781514,0.23169166,0.21620019,0.21981637,0.23067273,0.24196883,0.25231633,0.26244172,0.27043024,0.27073514,0.25834945,0.23340668,0.20118494,0.16793416,0.13780697,0.11291491,0.09451986,0.082954235,0.07712072,0.07489088,0.07437552,0.07469549,0.07550884,0.07639814,0.07639965,0.074656606,0.07078705,0.06581742,0.06237173,0.06491771,0.07717832,0.099807225,0.12861453,0.16054927,0.19950508,0.25917962,0.34827805,0.45566943,0.5443451,0.5766941,0.5410486,0.4639177,0.38582805,0.3341589,0.30941975,0.29685545,0.28216955,0.26020575,0.23423855,0.21130116,0.1982637,0.19823705,0.20910473,0.22445236,0.23700301,0.24256526,0.24126296,0.23627394,0.23057254,0.22531058,0.2195201,0.21285854,0.20735246,0.2082194,0.21784247,0.23234724,0.24004209,0.23201333,0.20736675,0.17584312,0.14758027,0.12846394,0.11717215,0.110322356,0.10463629,0.099356286,0.09514373,0.09356058,0.095522486,0.101467736,0.11138153,0.12467134,0.13883042,0.14944774,0.15210502,0.14547849,0.1322487,0.11744511,0.10526931,0.097443916,0.09344546,0.09205308,0.09193302,0.09165299,0.089482546,0.08447292,0.07870299,0.079589345,0.10067266,0.15393545,0.23746848,0.32516372,0.3777565,0.3693565,0.3126572,0.25674143,0.25605106,0.33231175,0.455469,0.56193566,0.5962479,0.5468214,0.44798765,0.348582,0.28050494,0.24645281,0.23448013,0.23194723,0.23479839,0.24326313,0.25812674,0.2752037,0.2868286,0.2859595,0.2723538,0.25221178,0.23328352,0.21891767,0.20809,0.19788148,0.18690343,0.17458497,0.1612881,0.14754502,0.13585718,0.12958266,0.13132866,0.1395755,0.14926995,0.15474318,0.15373379,0.14745818,0.13806029,0.12626,0.11193806,0.096879095,0.08847589,0.10209352,0.15834846,0.26788732,0.4145485,0.5503499,0.6232967,0.61042684,0.5360324,0.44664225,0.380026,0.34375498,0.32671002,0.31417298,0.30061105,0.28717658,0.27803418,0.27583992,0.2818302,0.2949352,0.3117572,0.3265603,0.3344275,0.3344599,0.33001366,0.3257563,0.3237792,0.32384792,0.32466033,0.32648635,0.33039606,0.3373241,0.34567115,0.35131845,0.34924188,0.3365964,0.3143611,0.28667104,0.25876155,0.23468588,0.21635713,0.2033546,0.19421579,0.18729497,0.18190952,0.17799811,0.17607217,0.17650802,0.17986284,0.18618686,0.19451608,0.20249093,0.20845474,0.21314055,0.21933536,0.22830112,0.23808837,0.2446454,0.24595518,0.2431649,0.24019039,0.2397989,0.24282004,0.24730559,0.25203064,0.25686443,0.26337433,0.27193904,0.28139278,0.2893575,0.29493698,0.30174616,0.3198029,0.36198118,0.43286252,0.51685363,0.57982785,0.589686,0.54080755,0.45907474,0.38129544,0.33001268,0.30468014,0.29259214,0.28281713,0.2722108,0.26324466,0.25925568,0.260615,0.2631713,0.2605724,0.24954899,0.23240237,0.21510206,0.2018935,0.19368853,0.18930177,0.18771602,0.18799858,0.18851195,0.18798412,0.18688041,0.18801312,0.1936027,0.2025568,0.20992815,0.210496,0.2027695,0.18971197,0.17612265,0.1657357,0.16101678,0.16386199,0.17731406,0.20684423,0.26311123,0.3537204,0.47116295,0.5799489,0.6344419,0.6068124,0.5129495,0.3972088,0.30332515,0.24789195,0.22381653,0.2147655,0.20939808,0.20408677,0.20022207,0.19998962,0.20378925,0.20959538,0.21397991,0.21433179,0.21103038,0.208138,0.21123783,0.22341229,0.24235779,0.26143053,0.27442443,0.2796202,0.28058693,0.28117797,0.28201485,0.27868256,0.26791677,0.2503849,0.23240757,0.21923552,0.21290784,0.21066387,0.21002273,0.20970704,0.21073787,0.21337442,0.2166577,0.21891063,0.21916665,0.2182688,0.21662565,0.21433349,0.20998375,0.20390236,0.19813986,0.19730432,0.20435184,0.21838659,0.23337395,0.24295557,0.24409376,0.23867117,0.22959542,0.21830504,0.2044244,0.18894184,0.17668219,0.17646903,0.19670634,0.2366247,0.28141564,0.30717632,0.29915494,0.2657703,0.23925847,0.25582588,0.33045086,0.44181895,0.5396239,0.575991,0.5344041,0.43973753,0.3352426,0.2554944,0.21070151,0.19300319,0.18938498,0.19108397,0.19617791,0.20626731,0.22067674,0.23352952,0.2356541,0.22308081,0.19989264,0.17616661,0.15919168,0.15019529,0.14593738,0.14341743,0.14218657,0.14302413,0.14646666,0.1517557,0.15754183,0.16222896,0.1644646,0.16348559,0.15967922,0.15475959,0.15114315,0.15093975,0.15464748,0.1611511,0.1670851,0.17142177,0.17892985,0.20646565,0.26981845,0.3693826,0.4735656,0.5392545,0.53763527,0.4786757,0.3960425,0.3243385,0.27843103,0.25619492,0.24714446,0.24245892,0.23763819,0.23277855,0.22896457,0.22710659,0.22651887,0.22641383,0.2254727,0.22336532,0.22086532,0.22023924,0.22282822,0.22820614,0.23383315,0.2377628,0.23948878,0.24123181,0.24513392,0.25166085,0.25752342,0.25911334,0.25457308,0.24510074,0.23194055,0.21620034,0.19971633,0.18663657,0.18124883,0.18500955,0.19518173,0.20620452,0.21320663,0.21372426,0.20912065,0.20210285,0.19555832,0.19032133,0.18649502,0.18405163,0.18310945,0.18289596,0.18127339,0.1769258,0.17076977,0.16647191,0.16777748,0.17691272,0.1928959,0.21245344,0.2309858,0.24562502,0.25531152,0.26017073,0.25935647,0.25242412,0.24157852,0.23239662,0.2332354,0.2533672,0.30240452,0.38171208,0.4750743,0.5451112,0.55399364,0.49000618,0.38091794,0.2733723,0.20374219,0.18051754,0.1914994,0.21757866,0.24378948,0.26320902,0.27613902,0.28507805,0.28884664,0.2822783,0.26245102,0.23345219,0.20468189,0.18357456,0.1721741,0.16817915,0.16892618,0.17242546,0.17775035,0.18433706,0.19269328,0.2034157,0.21604674,0.22801088,0.23530774,0.23518836,0.22736652,0.21447124,0.19986157,0.18696927,0.17777286,0.17288262,0.17303313,0.18368407,0.21859968,0.29153356,0.40075377,0.5144045,0.5848731,0.57712823,0.49755904,0.38541734,0.28597835,0.22159801,0.19016868,0.1775912,0.17264585,0.17073517,0.17224668,0.1787349,0.1909833,0.20706107,0.22245221,0.2313965,0.23024856,0.21998496,0.20656526,0.19793874,0.19944124,0.21047924,0.2256068,0.23901646,0.24906236,0.25687495,0.26249078,0.26194844,0.25201887,0.2341485,0.21488126,0.20001394,0.19200927,0.1909322,0.19697566,0.20936243,0.2246959,0.23716258,0.24212696,0.23843734,0.22906488,0.21878666,0.21230853,0.21175914,0.2161671,0.22166164,0.2245903,0.22328699,0.21937746,0.21529967,0.2130987,0.21267515,0.2134081,0.21519168,0.21992455,0.22993223,0.24545117,0.26359048,0.28131318,0.30029178,0.3271065,0.36536166,0.4065946,0.43015385,0.41861042,0.37481794,0.32737896,0.31489742,0.3597425,0.44873992,0.53465134,0.56577414,0.5189814,0.41672373,0.30597118,0.22693135,0.19133954,0.18852015,0.20059629,0.21504587,0.22741042,0.23925726,0.25276387,0.26709756,0.27705738,0.2783256,0.27023318,0.25653297,0.24137072,0.22764678,0.21723586,0.21089791,0.20834398,0.20675267,0.20339827,0.19712663,0.19130594,0.19154938,0.20230074,0.22211707,0.24363172,0.25779232,0.25949132,0.24964227,0.23302193,0.21428229,0.19665296,0.1837791,0.18419038,0.21380746,0.2871732,0.40152648,0.5220704,0.5972186,0.58992046,0.508347,0.39595315,0.300874,0.24555038,0.225716,0.22472449,0.2278425,0.2275439,0.22197567,0.21385922,0.2070688,0.20493506,0.20758171,0.2127428,0.21743256,0.22021914,0.22241636,0.22654544,0.23528236,0.24884509,0.2660306,0.2839835,0.30043435,0.3123466,0.31607458,0.3075303,0.2857879,0.25514936,0.22364552,0.19858347,0.18309486,0.17660014,0.17636858,0.17945041,0.18291533,0.18527879,0.18637693,0.18751986,0.18945384,0.1920274,0.19395947,0.19447064,0.19366242,0.19230878,0.19084662,0.18894368,0.18618198,0.1823995,0.17818718,0.17430411,0.17178439,0.17160724,0.1744523,0.18011928,0.18709867,0.1934179,0.19765788,0.20005985,0.20180607,0.20409043,0.20711254,0.21037316,0.21300371,0.21660699,0.22848292,0.26436055,0.33688843,0.44007245,0.5365262,0.5795699,0.54372174,0.4500455,0.34561577,0.27345705,0.24569273,0.2508508,0.26778823,0.2824953,0.29053426,0.2965408,0.30555162,0.31892383,0.33128485,0.33721063,0.3343204,0.32579944,0.31525233,0.30573303,0.2985238,0.2954884,0.29706338,0.30205193,0.30723903,0.31079054,0.31265834,0.3135943,0.31214276,0.30523095,0.29108867,0.2722728,0.2553963,0.24707346,0.25005984,0.26118293,0.2745367,0.28613177,0.298983,0.3236258,0.37222838,0.4472941,0.53145266,0.59239537,0.60218126,0.55843765,0.4854298,0.41514674,0.36686853,0.3416501,0.33190238,0.330286,0.3329756,0.3374968,0.34220454,0.34642625,0.35060278,0.35531032,0.3596578,0.3612181,0.35739943,0.34919944,0.34130445,0.3392844,0.34326085,0.34869066,0.3498393,0.3470157,0.3441163,0.34590745,0.35180452,0.3590119,0.3640913,0.3664876,0.36630237,0.36342764,0.35721776,0.3473495,0.3349749,0.321679,0.30940098,0.29864478,0.28924444,0.28062978,0.2732385,0.2678465,0.26447514,0.2619504,0.25856015,0.25367662,0.24785699,0.24291109,0.24049407,0.2414699,0.24473815,0.24812691,0.25001436,0.25078204,0.25205016,0.2543738,0.25689426,0.25959328,0.2662691,0.28398803,0.31601644,0.35583356,0.38608226,0.3909932,0.369148,0.3404322,0.33663628,0.3805597,0.4674096,0.5590324,0.6070958,0.5831074,0.5005745,0.40134263,0.32711256,0.29427108,0.2939873,0.30682102,0.31874108,0.32607016,0.33280793,0.34282187,0.3564134,0.3686413,0.37421784,0.37085018,0.36124697,0.3501344,0.33929643,0.32702458,0.3099146,0.28895465,0.26946652,0.25885406,0.260493,0.27172375,0.2852097,0.2931123,0.29123726,0.2812558,0.2701683,0.26620927,0.27292916,0.2866685,0.29928958,0.30469137,0.30258223,0.29948148,0.307598,0.34024987,0.40160164,0.47654405,0.53529245,0.5530012,0.52860177,0.48257902,0.43906212,0.40961906,0.39299735,0.38265243,0.3737421,0.36411628,0.35398948,0.34473646,0.33752608,0.33275536,0.32963204,0.32796648,0.32713544,0.3274684,0.32827199,0.3301376,0.3325547,0.33592203,0.3393147,0.34326974,0.34813523,0.35526147,0.36415672,0.37333155,0.3798026,0.38220343,0.38054144,0.377349,0.37451681,0.37385,0.37446985,0.3755267,0.37461653,0.37092325,0.36341205,0.35346365,0.34287906,0.33414403,0.32746208,0.32116905,0.31319296,0.30381522,0.29674396,0.29720217,0.30888686,0.33062544,0.3563976,0.37806192,0.39001358,0.39134243,0.3854091,0.37659574,0.36870828,0.36272025,0.3578819,0.3511263,0.34074858,0.32650208,0.31151137,0.29833034,0.28866097,0.28084207,0.2734535,0.26467744,0.25555247,0.24673147,0.24046612,0.23672263,0.23605828,0.236933,0.23945509,0.24309014,0.24849375,0.2544829,0.25946528,0.26216915,0.26433522,0.27063265,0.28462744,0.3054773,0.3262014,0.33971825,0.34261033,0.33773348,0.32942367,0.3210686,0.31396058,0.30890688,0.3061249,0.30403432,0.2994895,0.2900028,0.27609047,0.2615907,0.25075415,0.24649085,0.24887203,0.2569327,0.26788712,0.27812698,0.28267515,0.27946648,0.27025107,0.26142326,0.25763977,0.25991258,0.26393077,0.26619282,0.2656726,0.2652994,0.26747546,0.27182993,0.2742796,0.2690777,0.25278118,0.226178,0.195235,0.1670122,0.14640872,0.13355143,0.12582453,0.12040972,0.116083674,0.112758644,0.11066236,0.109921515,0.110694505,0.11301777,0.11640651,0.11976078,0.12157995,0.12103227,0.118017875,0.11348877,0.10824642,0.1032739,0.09913952,0.0966979,0.09587573,0.096219204,0.09745795,0.10214034,0.11483935,0.13879596,0.17094974,0.20215936,0.22269194,0.22878642,0.2242344,0.21634305,0.21025024,0.20637013,0.20180982,0.19466989,0.18697707,0.18446869,0.19300711,0.21422112,0.24393046,0.2733899,0.29393518,0.3006847,0.29487655,0.28194675,0.26852825,0.25922468,0.25576672,0.25742427,0.26201883,0.2671711,0.27159005,0.27589336,0.28126785,0.28690615,0.28899252,0.2836311,0.2707025,0.25508222,0.24366562,0.2420745,0.25222877,0.27073666,0.2892775,0.29794952,0.29199314,0.27431497,0.2535924,0.23793294,0.23165007,0.23419745,0.24255812,0.25377402,0.2672824,0.2842195,0.30465323,0.32563853,0.34170762,0.34804425,0.3425549,0.32752356,0.30751446,0.2874318,0.26958302,0.25518435,0.24539256,0.24242651,0.24701238,0.25696394,0.26661146,0.26974633,0.2620721,0.24450634,0.22206616,0.20231266,0.19042337,0.18769926,0.19237386,0.20489453,0.23221143,0.28508672,0.36678967,0.46203908,0.5386229,0.56744426,0.5420721,0.48400357,0.42401895,0.38307726,0.36377192,0.35873112,0.36029992,0.36451694,0.36930713,0.3726937,0.37309572,0.37048483,0.3656602,0.36017045,0.35501528,0.35133567,0.3493385,0.34907246,0.34987664,0.3512393,0.35209778,0.35216764,0.35209444,0.3545686,0.36095658,0.36950946,0.37356877,0.3670688,0.34836984,0.32296875,0.29876366,0.2814141,0.27157182,0.26586774,0.2603211,0.25238398,0.24374421,0.23991133,0.24847758,0.2734276,0.31140625,0.35212317,0.3847997,0.40393063,0.41134903,0.41210404,0.41072658,0.40857562,0.40545747,0.40031508,0.39270666,0.38242397,0.3711739,0.36194322,0.35809693,0.35943305,0.36308095,0.3664733,0.37310645,0.38943467,0.41738454,0.44604695,0.45741722,0.44066653,0.40522158,0.37786546,0.38435295,0.4302548,0.4924827,0.53469366,0.53064346,0.48383892,0.42098868,0.37083995,0.34565592,0.33980176,0.34270874,0.34704757,0.35188374,0.357438,0.3633908,0.36716008,0.36527932,0.35526156,0.3382342,0.3193153,0.30532798,0.2993586,0.29966712,0.3005289,0.29893818,0.29526412,0.29333612,0.29494345,0.29972562,0.30513486,0.30918312,0.31086576,0.3100541,0.30761337,0.3039204,0.29957828,0.29392096,0.28750503,0.28044438,0.27461252,0.27342126,0.28624836,0.32553235,0.39749646,0.48809376,0.5621095,0.58377075,0.5430452,0.46481097,0.3874071,0.3365003,0.31360626,0.30806506,0.31012073,0.31589162,0.32380214,0.33193552,0.3388723,0.3437465,0.34698573,0.3484904,0.3491654,0.34911552,0.34898385,0.34797466,0.34602138,0.3431166,0.34063002,0.34015062,0.34261882,0.34744012,0.350798,0.348127,0.33577132,0.31600294,0.29500774,0.279711,0.2722386,0.26936957,0.26652768,0.26103452,0.25392863,0.24721617,0.24292536,0.24377163,0.25317797,0.27413654,0.304503,0.33851156,0.3687143,0.39086258,0.4025767,0.40324607,0.3936545,0.37742367,0.35977983,0.34497035,0.33440772,0.32741678,0.32294342,0.32113525,0.3224719,0.3267609,0.33297098,0.3418182,0.35799626,0.38643906,0.4253533,0.46103922,0.47642514,0.4642825,0.4374332,0.42131245,0.43826446,0.49033198,0.555356,0.59749997,0.5906019,0.53578705,0.46045175,0.39603767,0.3585774,0.34356225,0.33951274,0.33788672,0.3380742,0.34112048,0.34622633,0.34735453,0.33804762,0.31675497,0.29105887,0.2725197,0.26898095,0.2789657,0.29484814,0.30839682,0.3154069,0.31584528,0.31231308,0.30804244,0.30596986,0.3074986,0.31216535,0.31630564,0.31581533,0.308423,0.29727292,0.28828862,0.28690365,0.2937297,0.30536056,0.3166566,0.3266938,0.3416475,0.37527168,0.43658185,0.5173119,0.5852158,0.60329634,0.55515975,0.4608437,0.36120033,0.29163626,0.26321408,0.26653817,0.28420064,0.3023915,0.31359574,0.31707254,0.3164518,0.3173763,0.32301942,0.3321968,0.34046605,0.34435633,0.34372544,0.34146824,0.3405852,0.34285927,0.3484706,0.356977,0.3670714,0.37704197,0.38404012,0.38525042,0.37753475,0.36014354,0.33408237,0.3025321,0.2679921,0.2326196,0.19848497,0.16855292,0.14561602,0.13128518,0.12623326,0.13192324,0.15099837,0.18409921,0.22641273,0.26699996,0.2956576,0.3080106,0.30778477,0.3006618,0.29073218,0.2790089,0.26631412,0.25437567,0.24524115,0.24042635,0.24048863,0.24530832,0.25348374,0.26232305,0.27002636,0.27843222,0.2950349,0.3265299,0.3717054,0.41462305,0.43525735,0.42292106,0.39057624,0.36756518,0.38284782,0.4427791,0.5238264,0.5849232,0.5933327,0.5468365,0.47144547,0.4013501,0.35608888,0.335824,0.32977954,0.328029,0.32606867,0.3240846,0.3235934,0.32422853,0.32230625,0.31244484,0.2927202,0.26692253,0.24320872,0.22723736,0.21951789,0.2159019,0.21233737,0.20683205,0.19976962,0.19324452,0.18993373,0.1919716,0.19848295,0.20613538,0.21051855,0.20979927,0.20482661,0.1982363,0.1916709,0.18505083,0.17704785,0.16672198,0.15802097,0.16294222,0.2017426,0.2865288,0.40551114,0.5141794,0.56482905,0.53635734,0.45505548,0.3661141,0.3054476,0.27843085,0.2748003,0.28135124,0.29193115,0.30322063,0.31357947,0.3218784,0.32822558,0.33263972,0.33429182,0.33248007,0.32812294,0.32452488,0.3247709,0.32948992,0.33544835,0.338676,0.3373865,0.33441734,0.33442786,0.33944914,0.34551454,0.34467807,0.33153692,0.3068422,0.27692398,0.24779539,0.2227062,0.20167178,0.18413366,0.16951567,0.1579082,0.15032418,0.14992195,0.16115113,0.18711086,0.22540395,0.26799083,0.30449224,0.3286313,0.3397384,0.3414137,0.33695766,0.32888082,0.31902266,0.30952194,0.30169365,0.2953752,0.2896912,0.28438064,0.28036523,0.27861354,0.27968273,0.285194,0.29999602,0.3290565,0.37064362,0.4100789,0.42734334,0.41160968,0.37477925,0.3471336,0.35923067,0.42048952,0.508707,0.58096033,0.5991771,0.55550283,0.47509882,0.3957286,0.34240058,0.3184376,0.31380907,0.31904998,0.3289193,0.34210813,0.3543843,0.3598238,0.35057387,0.3248065,0.28788155,0.25215992,0.22840463,0.22130038,0.2272749,0.23911273,0.24875705,0.2515653,0.24669254,0.23845167,0.23342974,0.237076,0.24967365,0.26565158,0.27765056,0.28113845,0.27785265,0.27388942,0.27641428,0.28886524,0.30977145,0.33312604,0.35494676,0.37633362,0.40726137,0.45635056,0.5233346,0.58837384,0.62421346,0.61025625,0.55046177,0.46746716,0.39048657,0.33839235,0.31575945,0.31559893,0.3272953,0.34273914,0.35777393,0.37075135,0.3809714,0.38836765,0.3938117,0.39731693,0.39869964,0.3976997,0.3956449,0.39339545,0.39095962,0.38771203,0.38477668,0.38423064,0.38734925,0.39178666,0.39337897,0.38775375,0.37397173,0.3530166,0.327427,0.29878554,0.26942125,0.24263829,0.22293836,0.21324508,0.2131101,0.21918114,0.22819531,0.24017692,0.25719312,0.28042337,0.3059806,0.32782352,0.34058633,0.34435114,0.3418592,0.33722815,0.3325287,0.32862103,0.32452714,0.31835136,0.3084309,0.2949494,0.28067324,0.2689512,0.26194182,0.26004586,0.2645007,0.27927172,0.30878845,0.35104588,0.392705,0.41465423,0.40616927,0.37684152,0.35356438,0.36466607,0.41980696,0.5008292,0.5686142,0.58724314,0.54683834,0.46988368,0.39232552,0.33978593,0.31589964,0.31055653,0.31242356,0.3164227,0.3216984,0.32846567,0.3341972,0.33483565,0.32578728,0.3073201,0.28379133,0.2628071,0.24829863,0.24062298,0.23721153,0.23743927,0.24207036,0.25121632,0.26244143,0.27159497,0.2763869,0.27671373,0.27443537,0.2704161,0.2650353,0.25821713,0.25034803,0.24126734,0.23021585,0.21699321,0.20296401,0.19324367,0.19743854,0.23150241,0.30665076,0.41638836,0.52446526,0.5855153,0.5737169,0.5058256,0.42321172,0.36224747,0.3337349,0.32911253,0.33565655,0.34391904,0.34904885,0.34871578,0.34531748,0.34417605,0.35090458,0.36590493,0.3838787,0.3968215,0.39987218,0.39415416,0.38470975,0.37695548,0.37312308,0.37357005,0.37680194,0.3817365,0.38515058,0.38312176,0.37068805,0.34707847,0.31574246,0.28390893,0.25705782,0.2373542,0.22368717,0.21415488,0.20704724,0.20101488,0.19612403,0.19487162,0.2029777,0.22553284,0.26302177,0.30805802,0.34979105,0.37935182,0.39474878,0.39934865,0.39912856,0.399295,0.40221247,0.40687907,0.40945837,0.40664652,0.3960251,0.37857077,0.35729602,0.3391405,0.33020198,0.33470047,0.35264948,0.38273692,0.41967836,0.45207873,0.464438,0.44893348,0.41575626,0.39081445,0.39968586,0.4497184,0.52247477,0.5825451,0.59839684,0.562743,0.49640858,0.43189135,0.39204034,0.37933043,0.3833754,0.39147556,0.39785707,0.4017782,0.40444264,0.40282023,0.39156756,0.36759686,0.3356385,0.30573523,0.2863991,0.27952632,0.28106874,0.28552112,0.28944075,0.29237652,0.29589367,0.30104837,0.30798054,0.31543732,0.32251897,0.32769302,0.32966897,0.32732162,0.32205853,0.31722578,0.31704983,0.32303205,0.33315405,0.34238657,0.3483673,0.35530898,0.37671265,0.42489132,0.4992908,0.5744205,0.61334914,0.5891347,0.5094525,0.40943122,0.33044088,0.2927065,0.29245892,0.31090114,0.33153692,0.34564283,0.35451964,0.3624126,0.37364292,0.38696826,0.3988596,0.4047921,0.40426043,0.399022,0.3929733,0.3891354,0.3896513,0.39426565,0.401095,0.407567,0.41270053,0.41641143,0.41840795,0.4156959,0.40476587,0.38317344,0.3525808,0.31689805,0.2810153,0.24848862,0.22198112,0.20277286,0.19090797,0.18510814,0.18457925,0.19013701,0.20342968,0.2243157,0.24863203,0.27002618,0.28316796,0.28743255,0.28565148,0.2818599,0.27825415,0.27584347,0.2749227,0.2757989,0.27765608,0.27924463,0.27968115,0.2796944,0.28034338,0.28224656,0.2865622,0.29742703,0.32135573,0.3598766,0.40296447,0.4307569,0.42849246,0.40055153,0.37184644,0.3731176,0.41920125,0.49742988,0.570014,0.59867626,0.5668877,0.49243906,0.40932906,0.3467622,0.31302255,0.30179763,0.3017687,0.3057234,0.31132558,0.31999955,0.33205783,0.34409606,0.3481194,0.33854827,0.31683812,0.29214895,0.27330348,0.26244032,0.25527957,0.24643667,0.234747,0.22266416,0.21440889,0.21272053,0.21761185,0.22591276,0.23310478,0.23652114,0.23589166,0.23270513,0.22714521,0.21950936,0.20978266,0.19945318,0.18859977,0.17745991,0.16733845,0.16597016,0.18698144,0.24369304,0.33449224,0.43529662,0.50731695,0.52262527,0.48202708,0.4147948,0.3546014,0.3211867,0.31292036,0.31805572,0.32401,0.32434818,0.31875208,0.3118634,0.3099008,0.31502023,0.32389894,0.32946587,0.32862505,0.32278427,0.31748077,0.3159633,0.31975695,0.32702497,0.33549795,0.34167898,0.34314135,0.33887205,0.33009803,0.31912947,0.3070521,0.29290703,0.273952,0.24901165,0.21985786,0.19126458,0.16773157,0.15125208,0.14101177,0.13537872,0.13395025,0.1373431,0.1457689,0.15719803,0.1679517,0.17456615,0.17571478,0.17200844,0.16448747,0.15379578,0.14052777,0.12606296,0.11225906,0.10084463,0.092594676,0.087569855,0.084923856,0.083651416,0.082432,0.08066556,0.07818658,0.07559485,0.07335825,0.071653895,0.07024764,0.06883607,0.06737732,0.06594782,0.06473264,0.0638387,0.063381664,0.0633265,0.063460656,0.06340199,0.06290126,0.061874766,0.06049068,0.058883082,0.05736613,0.056223337,0.05567166,0.055408806,0.054849565,0.053595196,0.051767554,0.04973645,0.047573734,0.04510345,0.04228277,0.039495382,0.037318144,0.036104918,0.035806924,0.036057007,0.036437944,0.03666204,0.03658673,0.036123753,0.035140827,0.033626024,0.03178714,0.030139504,0.029139346,0.028944349,0.029245673,0.029605404,0.029743044,0.029704588,0.029740982,0.030436583,0.032928165,0.038990036,0.049808115,0.06471497,0.08047178,0.09319218,0.10034785,0.102182485,0.10051063,0.097285,0.09341022,0.08886365,0.08327214,0.076680295,0.070224114,0.06619533,0.067234635,0.074300855,0.08487936,0.09360043,0.096038036,0.09321532,0.09174203,0.0992828,0.118499,0.14574218,0.17412621,0.19806303,0.21439634,0.22115867,0.2160892,0.19882391,0.17339231,0.14949632,0.13695061,0.14033873,0.15489687,0.1710345,0.17944737,0.1766929,0.16479796,0.14932244,0.13552754,0.12685375,0.124994494,0.13117689,0.14538765,0.16503419,0.18373136,0.19441123,0.1922949,0.1787001,0.15914947,0.14086539,0.1271504,0.11723366,0.10819002,0.10077251,0.099338956,0.1090861,0.12930721,0.15409063,0.17480926,0.18678339,0.18914402,0.18415378,0.17409314,0.16161942,0.15044998,0.14505047,0.14871734,0.16063721,0.1759274,0.18821812,0.19387154,0.19302928,0.18766987,0.17894894,0.1678722,0.1571443,0.15091132,0.1509903,0.1537854,0.15244652,0.14263092,0.12751153,0.11591468,0.11585321,0.12847525,0.14780338,0.16631787,0.1794519,0.18716274,0.19014935,0.18809827,0.1794895,0.1651233,0.14923109,0.13758026,0.13251005,0.13065302,0.12603977,0.11629579,0.10547384,0.10028512,0.104135744,0.11473179,0.1272173,0.13784921,0.14542855,0.14994067,0.15186143,0.15196048,0.15143877,0.15113465,0.15076548,0.14936717,0.14622927,0.14198102,0.1375057,0.13316108,0.12802623,0.121327035,0.11285443,0.10326598,0.09308306,0.08286177,0.0730316,0.0642908,0.05706613,0.051558256,0.047484342,0.0444399,0.041901123,0.039511412,0.037065145,0.034637462,0.03238595,0.030457696,0.028830485,0.02743999,0.026235506,0.025204701,0.024317138,0.023487747,0.022680491,0.021868914,0.021101236,0.020374713,0.019726144,0.019149372,0.018652627,0.018201591,0.017773295,0.017397223,0.01713222,0.017072305,0.017225936,0.017573684,0.018001521,0.01844742,0.018875884,0.019338235,0.01985404,0.02039033,0.02088614,0.021304986,0.021681925,0.022009877,0.022249103,0.022267533,0.021989351,0.021379808,0.020523518,0.019537127,0.018571908,0.017739445,0.017080013,0.016557625,0.016087327,0.015641602,0.015244714,0.0150119,0.01506332,0.015552354,0.016549207,0.017979218,0.019504003,0.020656811,0.021226935,0.021737257,0.023472467,0.027617201,0.034753576,0.045072038,0.059956145,0.0805716,0.10603231,0.13058102,0.14813404,0.15580225,0.15762317,0.15882279,0.16289236,0.16893922,0.17577444,0.18274929,0.18977444,0.19596612,0.20016307,0.20241033,0.20333897,0.20335968,0.20207155,0.19945699,0.19666071,0.19479592,0.19398917,0.19265328,0.18960525,0.18447979,0.17838554,0.17228188,0.16723375,0.16391852,0.16286527,0.16404998,0.16704981,0.17177974,0.17816311,0.18607444,0.194207,0.2005517,0.20229556,0.19722867,0.18477915,0.1670516,0.14799137,0.13136457,0.11932158,0.11216468,0.109512605,0.110632956,0.11458826,0.11942873,0.12306758,0.124216996,0.12437608,0.1270565,0.13649695,0.15511775,0.18216042,0.21339937,0.2420351,0.26232693,0.2715834,0.27061835,0.26028064,0.2400891,0.21015073,0.1745828,0.14237444,0.122724704,0.12022225,0.13244377,0.15247242,0.17255835,0.18677402,0.19244784,0.18998837,0.18172014,0.1697224,0.1545284,0.13626966,0.11599257,0.09646133,0.080343045,0.06928124,0.06394613,0.06546489,0.07521204,0.093258716,0.11655385,0.1404061,0.16063875,0.17665642,0.18915276,0.19862361,0.20184223,0.19513603,0.17669947,0.15047401,0.1239289,0.105116785,0.09951365,0.10830575,0.1280847,0.15039122,0.16597806,0.16892512,0.16010326,0.14394619,0.124788314,0.10489034,0.08648161,0.07372105,0.07208686,0.08574792,0.1134401,0.14760466,0.17626058,0.19014657,0.18675536,0.17116445,0.15054034,0.13050805,0.1136494,0.1010392,0.09315284,0.089678384,0.08949304,0.090832144,0.092223205,0.09281662,0.09256979,0.091886155,0.091246165,0.0909046,0.0907693,0.09040272,0.08907089,0.08597235,0.080643535,0.073340505,0.06614778,0.06323611,0.07080417,0.09191064,0.12355828,0.15475376,0.17583294,0.18411385,0.18739265,0.19381833,0.2055891,0.21631809,0.21941109,0.21311261,0.20141436,0.18804829,0.17393315,0.15781258,0.14029698,0.12446859,0.114205144,0.111587614,0.11641345,0.12725495,0.14163597,0.15635854,0.16766937,0.17371207,0.1750582,0.17432594,0.17339474,0.17273802,0.17164166,0.16960222,0.1665563,0.16242836,0.15690742,0.14965118,0.1410837,0.13214599,0.12394866,0.11714682,0.112083934,0.10847666,0.10545701,0.10198692,0.098698415,0.09844918,0.10484331,0.11814157,0.13357104,0.14422165,0.14664632,0.14356393,0.14015879,0.13962771,0.1411332,0.14269118,0.14290638,0.1413378,0.13728733,0.12988546,0.11894459,0.10549729,0.09147385,0.07870101,0.068216845,0.060213182,0.054405216,0.050430942,0.047851946,0.046218112,0.045021083,0.043980468,0.042906668,0.041798968,0.04054236,0.039187774,0.037725613,0.03631253,0.03486857,0.03339924,0.03179836,0.030238645,0.028799154,0.02764569,0.026689202,0.02587387,0.025002396,0.024028247,0.022934131,0.021886447,0.020996645,0.020317966,0.019724568,0.01907798,0.018284487,0.017396173,0.016547998,0.015871989,0.015400715,0.015040894,0.014664814,0.014196218,0.013659015,0.013131523,0.012694683,0.012396667,0.012222514,0.012089248,0.011878699,0.011508758,0.010986411,0.010376257,0.009742364,0.009088356,0.008379887,0.007583099,0.0067119896,0.005822899,0.004984951,0.0042391666,0.0035844918,0.0029939858,0.0024437632,0.0019303119,0.0014658695,0.0010653937,0.0007376927,0.00048458032,0.00030428986,0.00019347998,0.00014970046]