[0.04398623,0.04829605,0.05857827,0.07437014,0.09671452,0.12678005,0.16373193,0.20243625,0.23679364,0.26295808,0.28166774,0.2954156,0.30630493,0.3156388,0.3243272,0.333578,0.34336305,0.35342002,0.36374056,0.37656018,0.39529708,0.4215052,0.45309278,0.48494783,0.514774,0.54223496,0.567298,0.5832669,0.5822286,0.5588782,0.51658386,0.4625418,0.4062339,0.3570628,0.3226442,0.30441907,0.29692128,0.29428545,0.2949172,0.2995067,0.30522636,0.3078604,0.30698654,0.30696037,0.30913928,0.31191874,0.31338847,0.31979787,0.3357503,0.3638285,0.3960234,0.426756,0.4490063,0.46331143,0.4703975,0.47390032,0.47606564,0.4767121,0.477765,0.4777991,0.47955573,0.4782714,0.4739455,0.46126115,0.44176683,0.4134687,0.37944016,0.34227774,0.3075941,0.2796271,0.25906506,0.2453751,0.23562457,0.23044302,0.22930247,0.23571263,0.2503917,0.27144888,0.28913045,0.29181495,0.27624813,0.24929477,0.22553079,0.21104099,0.20664789,0.20515607,0.204798,0.2025252,0.19965817,0.19404627,0.18664621,0.17727782,0.16763699,0.15778166,0.14669448,0.13327043,0.11692309,0.09992062,0.08469107,0.07392613,0.06762124,0.06473989,0.06507274,0.07132801,0.08889844,0.11744223,0.14852573,0.16529669,0.15881975,0.13206916,0.10045097,0.07584187,0.06245173,0.056392174,0.05337019,0.05101363,0.049060907,0.047783058,0.04722865,0.047075585,0.047057968,0.047248688,0.048187673,0.05019401,0.052968636,0.055589657,0.057306197,0.058039904,0.0583034,0.058491793,0.058650944,0.0585727,0.058262598,0.057833705,0.057468534,0.057188753,0.057700485,0.061204284,0.07152549,0.090530425,0.11395788,0.13119392,0.13240835,0.11694053,0.09363409,0.073619366,0.061922695,0.05718611,0.05537809,0.054003045,0.052341744,0.05067284,0.04944736,0.048948545,0.049180094,0.049766555,0.050308228,0.050583918,0.05065535,0.050673157,0.050709203,0.050743088,0.050682977,0.050477233,0.05008924,0.04958358,0.04935841,0.051054556,0.057467896,0.071066976,0.089466155,0.10532314,0.10933878,0.099320345,0.080545865,0.06281111,0.051364403,0.046514634,0.045045007,0.044766363,0.044679698,0.044749085,0.044939134,0.045235276,0.04559796,0.04603636,0.046593722,0.047391612,0.04869098,0.05110493,0.055649165,0.063483216,0.07502902,0.08956972,0.105237305,0.12108133,0.13748033,0.15636824,0.17592329,0.19080599,0.19254367,0.17945336,0.15614654,0.13289963,0.11549467,0.10544891,0.100309946,0.098535724,0.09934417,0.10178719,0.10459847,0.1059225,0.10539053,0.10298538,0.10056276,0.099758,0.10300797,0.11062184,0.12162969,0.13251698,0.14048369,0.14361203,0.14221098,0.1365348,0.12840892,0.12119471,0.121288575,0.12983882,0.14120845,0.14168091,0.12539926,0.09602969,0.06747103,0.048190475,0.04052895,0.040847402,0.04699816,0.057651818,0.07125636,0.08472943,0.09515742,0.10148864,0.105086915,0.10806712,0.11178545,0.115894824,0.119388945,0.12158779,0.12286391,0.12444941,0.12779932,0.13429998,0.14439529,0.1579528,0.17364752,0.19165915,0.21302192,0.24060445,0.27125964,0.2968794,0.30442086,0.2896793,0.2587119,0.22840749,0.21521847,0.22631676,0.25423765,0.27840316,0.28146803,0.25971827,0.22700113,0.19866377,0.18123452,0.169918,0.15786086,0.14262636,0.12638016,0.11233497,0.10178421,0.09442571,0.089535974,0.08680844,0.08753575,0.094375335,0.11111007,0.13600177,0.16116063,0.17314655,0.16640551,0.14475904,0.12104666,0.10368017,0.095336825,0.092493154,0.09217763,0.09218017,0.09202085,0.0914341,0.090767354,0.08992248,0.08859074,0.08616731,0.08250929,0.07788632,0.07265297,0.06730041,0.062385153,0.060291532,0.06452414,0.079574585,0.10337925,0.12774897,0.13861804,0.1309479,0.10894376,0.08606711,0.07035666,0.06402889,0.06310906,0.06452132,0.066419534,0.06862707,0.07109349,0.07352198,0.07529966,0.076234125,0.07686513,0.07801011,0.079850756,0.0820102,0.084082484,0.08600826,0.0875554,0.08971986,0.095601834,0.1110203,0.13707376,0.16674902,0.18448442,0.18045287,0.1566669,0.12726404,0.104560785,0.09306266,0.089312814,0.088771425,0.088933386,0.08935729,0.09011528,0.09110871,0.09181559,0.091932625,0.09109137,0.08989909,0.08880337,0.088809915,0.089584656,0.09103566,0.0923389,0.093681835,0.09467969,0.09537288,0.09764585,0.10564227,0.12550698,0.15583731,0.18919015,0.2100122,0.2132331,0.20141093,0.1891946,0.18313797,0.18426543,0.18436946,0.1796674,0.17033164,0.16080506,0.15426473,0.15064514,0.1488906,0.14718874,0.14577872,0.14437078,0.14347446,0.14293873,0.142911,0.14347614,0.14404517,0.14583655,0.15082808,0.1626792,0.17928042,0.19453736,0.19912417,0.19138157,0.17574728,0.16197027,0.1564533,0.16264646,0.17651159,0.1890264,0.18704188,0.16527689,0.12829891,0.089876354,0.060143698,0.04276998,0.034374557,0.03094131,0.02940084,0.028518895,0.02782665,0.02744089,0.02922465,0.036801156,0.05464888,0.08074192,0.10599661,0.11597291,0.10556499,0.080088586,0.053870138,0.035663575,0.027593909,0.025522871,0.026174052,0.028675273,0.034856636,0.048045505,0.06755195,0.087824315,0.0981215,0.09355369,0.076596744,0.05752081,0.043259133,0.035984013,0.03276399,0.031236364,0.032221828,0.04004289,0.061214615,0.0942902,0.12881224,0.14532776,0.13554314,0.104395755,0.07043083,0.04572008,0.03382668,0.029315585,0.027714863,0.026584076,0.025700686,0.026061842,0.030028714,0.04151806,0.061204225,0.08407607,0.09889233,0.09765264,0.080715716,0.05767134,0.03803011,0.02618335,0.020572307,0.018219031,0.017746532,0.021244198,0.033589114,0.05875224,0.092456244,0.12133119,0.12942104,0.11259487,0.08017182,0.048744787,0.028349308,0.021401795,0.025746047,0.040529888,0.06517493,0.097408,0.1330139,0.16780722,0.20007469,0.22861572,0.25153986,0.26484904,0.26771572,0.26364946,0.2603719,0.2628205,0.27181277,0.28507197,0.3015124,0.32140732,0.3439473,0.36623728,0.38392985,0.39573812,0.40339234,0.4117067,0.42246255,0.43349218,0.43664905,0.4241613,0.39267763,0.34819475,0.3019149,0.26388004,0.23797363,0.22278856,0.2161407,0.21710147,0.22697182,0.24823104,0.2798876,0.31289634,0.32859764,0.31163034,0.2612342,0.19528711,0.13585258,0.09597349,0.07472054,0.0643309,0.057831254,0.052264463,0.04804178,0.04736912,0.05310962,0.06815729,0.09328872,0.12693836,0.1622457,0.19160153,0.20701653,0.20834959,0.19859545,0.18561827,0.17395754,0.16732202,0.16502117,0.16490714,0.16472222,0.16385531,0.1639729,0.16400976,0.16284758,0.1580326,0.15174812,0.14548926,0.14206158,0.14168902,0.14490561,0.14992577,0.15324692,0.15252478,0.14780273,0.14408524,0.14475034,0.15351886,0.16792019,0.18427032,0.193873,0.19349821,0.18537192,0.1782481,0.17724945,0.18012111,0.18175589,0.17932536,0.17579605,0.17240345,0.17124408,0.17755832,0.20657293,0.26843682,0.35349146,0.4252946,0.4475443,0.40973902,0.33567688,0.25909975,0.20178677,0.16670485,0.14813925,0.13952698,0.13748339,0.14139675,0.15418583,0.17484508,0.19719665,0.20847474,0.20345001,0.1849447,0.16442485,0.14917466,0.14264573,0.14441003,0.15336357,0.16691083,0.18013465,0.18957265,0.19312187,0.19083919,0.18193565,0.16777726,0.15308599,0.14570032,0.14931422,0.16010106,0.16790874,0.16646366,0.15696634,0.14745702,0.14392613,0.14787906,0.15617621,0.16667955,0.17957169,0.1981193,0.22061725,0.2394659,0.24073452,0.21984112,0.18211575,0.14374785,0.11504489,0.1020155,0.101807274,0.11137722,0.12351298,0.13501306,0.14402737,0.15270048,0.15982498,0.16351885,0.16238542,0.15940325,0.15910152,0.16476709,0.1764146,0.19162588,0.20712914,0.22033465,0.23000892,0.23708521,0.24391711,0.2538121,0.26648244,0.27813318,0.2815307,0.27388844,0.2571826,0.23808348,0.22171481,0.21099259,0.20648491,0.2077141,0.21365602,0.22266527,0.233265,0.24386883,0.25339958,0.26112983,0.26713577,0.2717317,0.27540198,0.27816498,0.27958503,0.27834153,0.27395704,0.26765952,0.26362455,0.26347166,0.26460016,0.25844792,0.24029239,0.21128613,0.18015438,0.15421079,0.13749464,0.12946574,0.12878126,0.13445888,0.14634591,0.16473697,0.18952744,0.21980064,0.2530094,0.28539178,0.31311178,0.33414045,0.348976,0.35957202,0.3674978,0.37292477,0.37580505,0.37727726,0.37995264,0.38471535,0.38846883,0.38490626,0.37087455,0.35011187,0.33182788,0.32339188,0.3265212,0.33759877,0.35179117,0.36497045,0.37494302,0.3815076,0.386145,0.39091158,0.3965858,0.40269348,0.40722835,0.407886,0.40212002,0.38874042,0.3687761,0.34565833,0.3235055,0.30414844,0.28609642,0.26716456,0.24942641,0.242011,0.25385186,0.28709772,0.33228305,0.38000175,0.42599496,0.47464406,0.52799875,0.5836533,0.6352003,0.67961293,0.71892715,0.7576435,0.79728466,0.8335113,0.8583942,0.8652347,0.85271674,0.82515717,0.79120797,0.76031166,0.7403429,0.73378706,0.7380526,0.7462484,0.75193053,0.75140333,0.7460175,0.7410891,0.74369234,0.7587812,0.78562516,0.8172186,0.8431279,0.8550742,0.85144156,0.8376977,0.82270616,0.812386,0.80644506,0.7987713,0.7821617,0.7519579,0.7075867,0.65092707,0.5850883,0.51443505,0.4464767,0.390913,0.3564229,0.34512714,0.35270122,0.3714602,0.3969061,0.42897427,0.470987,0.5243869,0.5862859,0.6490216,0.7043721,0.74707,0.7762323,0.7928309,0.7973941,0.7895119,0.769888,0.74149126,0.7091802,0.67751193,0.64951915,0.6264587,0.6086616,0.5959201,0.5876487,0.58301467,0.5814712,0.5831508,0.58877873,0.59886885,0.61297256,0.6292351,0.6450197,0.6579651,0.66705495,0.67239183,0.6739444,0.6703587,0.659112,0.63829905,0.6082781,0.5725095,0.5359421,0.50275224,0.47342613,0.44512248,0.4141197,0.38027525,0.3482404,0.3256104,0.3189222,0.33125082,0.3618125,0.40647808,0.4584166,0.5094774,0.5527529,0.5850335,0.6069191,0.62051076,0.62677884,0.625128,0.61503226,0.5977269,0.5761609,0.55366987,0.53256756,0.5139119,0.4979426,0.48490953,0.4755027,0.47103718,0.4729035,0.48128995,0.49395895,0.5067293,0.51593286,0.5207446,0.52294487,0.52474546,0.5271,0.5298076,0.5322091,0.5331769,0.5309743,0.52353853,0.50942487,0.48838067,0.4612814,0.43009147,0.39792073,0.36964312,0.34951875,0.33837974,0.33097956,0.32073805,0.3052399,0.29001176,0.28349885,0.29152057,0.31390265,0.34691238,0.38592294,0.4271042,0.46688214,0.50127894,0.5263322,0.53933614,0.54061776,0.53239465,0.517577,0.4978397,0.47502756,0.45146236,0.430128,0.41285798,0.39981517,0.3897028,0.38105807,0.37301114,0.36586198,0.36060664,0.35868618,0.36079112,0.36672255,0.3747153,0.38243678,0.38764822,0.3896097,0.3892571,0.38852826,0.38888732,0.3901339,0.39016792,0.3859723,0.37470785,0.35535815,0.32872835,0.2978666,0.26666832,0.23989384,0.22092676,0.21075432,0.2065724,0.20436025,0.20180666,0.20024483,0.20321155,0.21379495,0.23306377,0.25958925,0.28998438,0.31964564,0.34441888,0.3618168,0.37154043,0.37450758,0.3720763,0.36544883,0.35583052,0.34426513,0.33175254,0.31915864,0.3075039,0.29745105,0.28921965,0.2823482,0.2765801,0.27213615,0.2697041,0.2696518,0.27160606,0.27487278,0.27888587,0.28356647,0.28871128,0.29405776,0.2995155,0.30551687,0.3121244,0.3180847,0.32087913,0.31846654,0.31046686,0.29804754,0.28228092,0.26365924,0.24263763,0.22091706,0.20098977,0.18495327,0.17322111,0.16551314,0.16208583,0.16449443,0.1738457,0.18936692,0.20808448,0.22700427,0.2443914,0.2602116,0.27433014,0.28643802,0.2954372,0.3007356,0.3016782,0.2986382,0.29248807,0.284821,0.27666008,0.2682649,0.25925776,0.24952136,0.23948105,0.23019628,0.22271593,0.2180086,0.2160813,0.21640871,0.21765101,0.21888293,0.21954048,0.2199636,0.22075777,0.22267717,0.22630753,0.23197556,0.23951982,0.24785642,0.25505558,0.2588774,0.25791368,0.25213903,0.24291568,0.23199849,0.2208482,0.21003805,0.19961964,0.18951976,0.18008693,0.17239779,0.16803394,0.16893917,0.17647184,0.19122885,0.21218765,0.23713763,0.262627,0.28527918,0.30255154,0.31377503,0.31990254,0.32258192,0.3230027,0.32124493,0.31687626,0.30955526,0.29972008,0.28826347,0.27638873,0.26512468,0.2553756,0.24765877,0.24225944,0.23908798,0.23789823,0.23827441,0.23986278,0.24242528,0.2458399,0.25002337,0.2548391,0.26024613,0.26626846,0.27298033,0.28007665,0.28673157,0.29153916,0.2930275,0.29004908,0.2822788,0.27028742,0.25555506,0.2396277,0.22358757,0.20790266,0.19388948,0.18420328,0.18210472,0.18909828,0.20441873,0.22616945,0.25338373,0.28600383,0.32373145,0.36442125,0.4042649,0.43891641,0.46560442,0.48402,0.495852,0.50276536,0.5051708,0.5024661,0.49440455,0.48181865,0.46623078,0.4491686,0.43188202,0.41554058,0.40129843,0.3900895,0.38233128,0.3776962,0.37533984,0.37439188,0.3746265,0.37645915,0.38038206,0.38624713,0.39332113,0.40119162,0.41015974,0.4209796,0.43317053,0.44474113,0.45225942,0.45289978,0.44504213,0.42898366,0.4057511,0.37671277,0.34293795,0.30637482,0.27078322,0.2419349,0.22531779,0.22337468,0.23468564,0.25592276,0.28463578,0.32003275,0.36173192,0.40794304,0.45481077,0.4974041,0.5316718,0.5562897,0.57265395,0.5830427,0.5883705,0.5876891,0.5796985,0.5644567,0.54397756,0.521231,0.49910364,0.4795717,0.46375144,0.45189297,0.44373035,0.43860063,0.43638113,0.43729934,0.44201764,0.44902134,0.45570707,0.45892528,0.45986462,0.4628519,0.4734782,0.49344692,0.51944345,0.54523516,0.56418276,0.5723529,0.5679414,0.55199534,0.5268348,0.4955833,0.46014997,0.42131448,0.38027382,0.34163964,0.3127676,0.30061245,0.3071847,0.33006367,0.36494613,0.40912604,0.46093068,0.51814604,0.5763646,0.62981004,0.6734071,0.70487523,0.7252092,0.7369575,0.74193215,0.7400913,0.73050684,0.71305054,0.68924624,0.6619231,0.63416725,0.6084924,0.58635473,0.56821656,0.5537685,0.5423716,0.5332844,0.5260801,0.5206893,0.5175976,0.5174008,0.5207177,0.5278525,0.5390881,0.55456907,0.57410884,0.5965083,0.6191664,0.6383014,0.64965636,0.6495163,0.6356805,0.6082811,0.5696675,0.52240473,0.46763965,0.40498185,0.3361641,0.2669518,0.20689838,0.16487892,0.14679281,0.15481013,0.18862502,0.24468076,0.31525937,0.3891933,0.45600936,0.5100427,0.5512798,0.5820954,0.6035912,0.61479765,0.6143989,0.6031616,0.58385307,0.5605349,0.5364099,0.5139212,0.49424484,0.47844136,0.46698776,0.46021912,0.45782828,0.45927384,0.4637896,0.4707618,0.47980985,0.49078974,0.50381833,0.51922345,0.5377194,0.5600123,0.58619595,0.6146795,0.64169693,0.6619354,0.6703839,0.6644184,0.6440429,0.61026174,0.5632623,0.50315845,0.43268707,0.35875967,0.29068422,0.2365764,0.2010997,0.18587697,0.19101971,0.21649133,0.26181778,0.3248771,0.39994642,0.4780642,0.5497543,0.6090353,0.65448976,0.68724394,0.7079794,0.7162606,0.71192265,0.6967189,0.6744767,0.65025395,0.6286774,0.61285263,0.60328627,0.5985303,0.5960764,0.59422296,0.59236264,0.59089357,0.59016854,0.5905149,0.59239966,0.59665006,0.60406446,0.61510843,0.63009214,0.64894986,0.6705625,0.6919858,0.7090538,0.7178499,0.71610636,0.7037194,0.6821559,0.6529711,0.61605716,0.5699913,0.51466006,0.4543093,0.39677057,0.34995684,0.31803527,0.30150476,0.29897842,0.30974284,0.33398697,0.37204298,0.42205402,0.4791112,0.5362394,0.58769506,0.6306501,0.6643457,0.6876695,0.6987207,0.6965232,0.6825306,0.6605204,0.6349674,0.6099512,0.5881678,0.57082695,0.5578955,0.5489983,0.5438387,0.54267615,0.5466239,0.5579545,0.5777783,0.60420275,0.631633,0.6551082,0.6728365,0.68668884,0.6986561,0.7099271,0.72109336,0.7327082,0.7435574,0.7501344,0.7482962,0.73623013,0.7151668,0.6880896,0.65789104,0.6263711,0.59432155,0.56205064,0.53086114,0.5033319,0.48292723,0.4724485,0.47372684,0.48783422,0.514778,0.55253464,0.595763,0.63715273,0.6697487,0.6901497,0.6984078,0.69620705,0.68442726,0.6636185,0.6358652,0.60528374,0.576263,0.55112964,0.53026754,0.51301867,0.49860433,0.48586798,0.47365296,0.46136853,0.44894385,0.43662295,0.42472538,0.41414383,0.40537965,0.39807317,0.3914745,0.386273,0.3846563,0.3881143,0.39596233,0.40556046,0.41407654,0.4186482,0.41703284,0.40825152,0.39332423,0.37387252,0.35074377,0.32433167,0.29729736,0.27499816,0.26372385,0.26466644,0.27345535,0.28112122,0.2825466,0.2770482,0.26878846,0.25929984,0.2478501,0.23130901,0.20966418,0.18536253,0.16299452,0.14522566,0.13299052,0.12555562,0.12254117,0.123488344,0.12790401,0.13508384,0.14478908,0.15673888,0.16975985,0.1813284,0.18848078,0.1895319,0.18468231,0.1758691,0.16498826,0.15326859,0.14078832,0.12757155,0.11386904,0.10064351,0.088960804,0.07979093,0.07333811,0.06965067,0.0693016,0.07472175,0.08880065,0.11247764,0.14075498,0.16397083,0.17200162,0.16168673,0.1381406,0.111356325,0.08952579,0.075917564,0.06995007,0.069516145,0.073206395,0.08081459,0.094016366,0.11447207,0.14130624,0.16932268,0.19165163,0.20403294,0.20594436,0.19904993,0.18451047,0.16513783,0.1448896,0.12853937,0.11745783,0.11056908,0.105465434,0.100846715,0.09626109,0.09162501,0.08704659,0.082622044,0.07857659,0.07491154,0.07163212,0.06870824,0.06620184,0.06418993,0.062680006,0.06163199,0.060848016,0.06015158,0.059364203,0.05843842,0.057252835,0.055677503,0.053680006,0.051515665,0.049579725,0.04813311,0.047171976,0.046551723,0.0461407,0.045836613,0.045514658,0.045052614,0.044428285,0.04380088,0.04354159,0.044288877,0.046741445,0.051258102,0.05695429,0.061941486,0.064024806,0.062665336,0.058822077,0.054503053,0.050914496,0.04872264,0.047995333,0.048709363,0.050122514,0.0510221,0.050350755,0.048086535,0.045118857,0.042462807,0.04049648,0.038904253,0.037032,0.034436535,0.03109434,0.027575739,0.02496215,0.024838092,0.028733492,0.03647838,0.045152184,0.049752217,0.047178272,0.03859221,0.028893039,0.022309037,0.019892083,0.019756889,0.019736601,0.018866746,0.01741684,0.015971664,0.01489666,0.014181435,0.0136148175,0.012977875,0.012208682,0.011431563,0.0107946545,0.010345984,0.009980283,0.009579363,0.009055924,0.008410771,0.007692164,0.007030493,0.006547311,0.006300355,0.006230732,0.0062495056,0.006287346,0.0062934496,0.006198,0.0061114863,0.006732347,0.009803359,0.017710837,0.03226759,0.053105753,0.077738084,0.10315444,0.12787028,0.15095995,0.16964899,0.17771477,0.16987406,0.1468356,0.117488794,0.092211775,0.07624882,0.06684936,0.058762174,0.04903723,0.03897727,0.030918142,0.025964923,0.023171619,0.021166349,0.019129982,0.017083492,0.015261166,0.013746052,0.012510677,0.011554002,0.010908992,0.010568622,0.01042571,0.010371452,0.010188012,0.009734291,0.008934585,0.008004188,0.007216619,0.006783029,0.0066461284,0.006611874,0.00650445,0.0062784995,0.0059724185,0.005640514,0.00532201,0.005098494,0.0050351564,0.0051450436,0.005288446,0.0052888193,0.005032617,0.0045849425,0.004101247,0.0037213638,0.003472722,0.0033136848,0.0031860238,0.0030663663,0.0029497184,0.002841574,0.0027527623,0.0026906237,0.0026474295,0.0025971653,0.0025274127,0.0024555156,0.0023994057,0.0023474602,0.002261513,0.0021353448,0.002001419,0.0018994877,0.0018288005,0.0017618242,0.0016853771,0.0017760228,0.0024320073,0.004315013,0.0075845495,0.011712022,0.015179058,0.016926669,0.01662807,0.015214593,0.013553966,0.012360446,0.011803883,0.011999764,0.012755516,0.013609824,0.014014347,0.01571481,0.02350541,0.044821482,0.079868026,0.11872748,0.14166816,0.138291,0.11266907,0.08316443,0.06297642,0.055350225,0.05371076,0.05229649,0.048851404,0.044792075,0.041916113,0.040689696,0.040103238,0.039874736,0.043029826,0.055611312,0.08168108,0.11876339,0.15667413,0.18382002,0.1921104,0.18100739,0.1552193,0.12311286,0.09265836,0.06909665,0.05332078,0.04325081,0.03637435,0.03103484,0.026709622,0.023181394,0.020646207,0.019165516,0.01871104,0.018776843,0.018895334,0.018780218,0.0184989,0.018135658,0.01764594,0.016889913,0.015879367,0.014860678,0.014150464,0.013902635,0.013929508,0.013883705,0.0134011535,0.01250765,0.011468638,0.010709462,0.010323715,0.010181174,0.009966645,0.009557176,0.008979327,0.008450049,0.008127987,0.008068423,0.008097428,0.007989542,0.007582519,0.006973699,0.0063862805,0.00603529,0.005917998,0.005894188,0.005809087,0.005630264,0.0054456796,0.005342241,0.0053286473,0.0052779964,0.0050468664,0.0045836116,0.0039914763,0.0034618939,0.0031270252,0.003018304,0.003045152,0.003107865,0.0031178147,0.0030654324,0.0029631087,0.0028444037,0.0027045216,0.0025429262,0.0023518277,0.002163409,0.002002781,0.0018973108,0.0018334895,0.0017920517,0.0017463019,0.0016915742,0.0016287719,0.0015638405,0.0014933607,0.0014159092,0.0013436159,0.0013647635,0.0017038747,0.002732927,0.004727568,0.0075391964,0.010372969,0.012181426,0.012246788,0.010726278,0.008444931,0.0064865034,0.005640421,0.006173355,0.007906799,0.01040635,0.013530952,0.017149085,0.021139724,0.024706041,0.027349023,0.029553974,0.034085076,0.044809416,0.064460605,0.09171206,0.12128248,0.14687942,0.16551751,0.17946154,0.19507073,0.2188734,0.25266513,0.29066727,0.32098746,0.33330253,0.3252512,0.30445418,0.28163847,0.26453212,0.25443783,0.24914761,0.2458446,0.24228142,0.23583965,0.22263242,0.2000782,0.1695003,0.1376168,0.112270385,0.09854623,0.09634001,0.10245777,0.11208921,0.11966909,0.1198771,0.10998124,0.09214193,0.07200855,0.055358406,0.044675056,0.039170142,0.03636015,0.03412855,0.031515237,0.028754063,0.026551576,0.025367199,0.025032213,0.025066657,0.02499918,0.024634622,0.023856854,0.022748655,0.021447696,0.020210827,0.01910459,0.018065205,0.016994769,0.015971402,0.015181576,0.014730324,0.014573354,0.014603797,0.014739979,0.014853868,0.014751886,0.014241454,0.013363816,0.012295164,0.0112700565,0.010320111,0.009458232,0.00868418,0.008130865,0.007863306,0.007869243,0.007979491,0.008026339,0.007902467,0.0076470138,0.0073445756,0.0070800553,0.0068687648,0.00670488,0.0065423604,0.0063371216,0.006043036,0.005679647,0.005297939,0.0049870624,0.0047855964,0.0047140047,0.004713017,0.0047286823,0.0046804436,0.0045700273,0.004471638,0.004643126,0.005539211,0.007854068,0.012230705,0.018877644,0.026917225,0.03454146,0.039421882,0.040099166,0.036441028,0.0299969,0.022937989,0.017294284,0.013994503,0.0128905885,0.013203288,0.014182354,0.015565645,0.017318966,0.01951796,0.021830872,0.023861928,0.024852889,0.024289457,0.021785533,0.017880896,0.01360488,0.010169131,0.0079766875,0.0067270384,0.0058479067,0.005089292,0.004493106,0.0040991115,0.0038293407,0.0035712768,0.0033087682,0.0030648075,0.0028469954,0.0026518507,0.0025249163,0.0025923026,0.0029131717,0.0034644443,0.0049735825,0.010384657,0.02550082,0.05527754,0.098127455,0.14235272,0.17176872,0.1754363,0.15517269,0.12463928,0.10226459,0.103789605,0.1322606,0.17610542,0.2110713,0.21853863,0.19544868,0.15837549,0.12681203,0.11122116,0.10717583,0.10442983,0.09582586,0.08140921,0.06537473,0.052027594,0.04368608,0.040632065,0.041202903,0.042826694,0.04357701,0.043533582,0.044360843,0.047176868,0.051313195,0.054344997,0.054357287,0.05106159,0.045775417,0.039960284,0.03451698,0.03019666,0.027685149,0.027321825,0.02824278,0.028894668,0.027994558,0.0254686,0.022173926,0.019085275,0.016662462,0.014906403,0.013671751,0.012909919,0.0124872355,0.012165412,0.011617604,0.010836703,0.010118653,0.009879991,0.010162891,0.01061673,0.010818624,0.0107076885,0.010573242,0.010674431,0.010939959,0.011069752,0.010884586,0.010511416,0.010247338,0.01030701,0.010672799,0.011751008,0.014734318,0.02185064,0.0335128,0.046989083,0.055991605,0.05641153,0.049107205,0.04030912,0.035643425,0.03712156,0.04291072,0.050596777,0.058743138,0.06672006,0.073470555,0.07714257,0.07572491,0.06846713,0.056654304,0.043410793,0.03230118,0.025975928,0.02533936,0.029566184,0.036927596,0.04562277,0.054483872,0.062641434,0.0690309,0.07211111,0.07031849,0.063579366,0.053814646,0.04458031,0.038269535,0.0348855,0.032213498,0.028447425,0.023366192,0.018162353,0.013951753,0.011120662,0.009458411,0.0089412285,0.010319315,0.015081783,0.02434101,0.037372112,0.050886422,0.060535926,0.06348925,0.060520034,0.05521935,0.051275935,0.050017986,0.050179232,0.049784195,0.047724605,0.04418608,0.039972153,0.03581984,0.03231962,0.029674986,0.027958343,0.026918583,0.026319956,0.0258486,0.025301924,0.024535691,0.023488427,0.022191128,0.020754246,0.019439576,0.0185258,0.018220037,0.018463938,0.018987129,0.019442067,0.019630253,0.019541888,0.019214392,0.01859615,0.017580481,0.016212473,0.014752239,0.013538397,0.012747034,0.012332757,0.01212556,0.011985696,0.01184032,0.0116642015,0.011433296,0.011143117,0.010838511,0.0105985785,0.010467489,0.0104132,0.0103800865,0.010364057,0.010383743,0.010413761,0.010369918,0.010245538,0.010195788,0.010532856,0.011498784,0.013077657,0.014880366,0.016372405,0.017197335,0.017492995,0.017775279,0.018657364,0.020286055,0.022379704,0.024256676,0.027166413,0.035460074,0.057346165,0.096565135,0.14644428,0.1869641,0.20036449,0.18326986,0.15206255,0.12642519,0.115666986,0.113333024,0.108098775,0.09409348,0.07460081,0.057249505,0.048060868,0.048492927,0.055479784,0.06325785,0.06626684,0.06271536,0.056052756,0.05282416,0.056837037,0.06591881,0.07300556,0.07280163,0.06539993,0.05558726,0.04760872,0.04278265,0.040332615,0.03984721,0.041305482,0.04437988,0.048001483,0.05210631,0.057289433,0.06406539,0.07067749,0.07496553,0.07596117,0.07644125,0.08101192,0.09398532,0.11450111,0.13592112,0.14838076,0.14753008,0.13764383,0.1283753,0.12378668,0.1201055,0.11000765,0.09276254,0.07367344,0.05974157,0.052590337,0.05008771,0.048855033,0.04751809,0.04583347,0.04413848,0.042564545,0.04122592,0.04003754,0.038912404,0.037704855,0.036505546,0.035348978,0.034293976,0.033109818,0.03165038,0.029844455,0.02796814,0.026319316,0.025113933,0.024267672,0.023569966,0.022856548,0.02214883,0.021606848,0.021318803,0.021236561,0.02115821,0.020910911,0.020436095,0.019849077,0.019370178,0.019152142,0.019184904,0.019243062,0.019094368,0.018596292,0.01783417,0.016974099,0.016220119,0.015631938,0.015184713,0.014772155,0.014370936,0.014040693,0.013882934,0.013950122,0.014213978,0.0146508,0.01521947,0.01582189,0.016254902,0.016313707,0.016071014,0.015844816,0.016159356,0.017180284,0.01879225,0.020492049,0.022011606,0.023209663,0.024187876,0.024983382,0.025737925,0.026680468,0.027954375,0.029380416,0.030559255,0.031402003,0.032460723,0.03455237,0.038070902,0.042509545,0.046884093,0.05021793,0.051868606,0.051339313,0.048335616,0.043129515,0.03669787,0.03042294,0.025289528,0.021653742,0.019310748,0.01793006,0.017158354,0.01667235,0.016214496,0.01576337,0.015679196,0.01660948,0.018966705,0.022397539,0.025770785,0.02788149,0.028299363,0.027332604,0.025710246,0.023897193,0.022447757,0.022321226,0.025676385,0.03632773,0.05912429,0.0988589,0.15611619,0.22438268,0.28858927,0.3321873,0.3474052,0.33877948,0.31814897,0.29113758,0.25911906,0.22111297,0.18309498,0.14958619,0.12293468,0.10068101,0.08262857,0.06986525,0.063097,0.05989255,0.057340056,0.05438933,0.052031856,0.050782,0.04966524,0.047845487,0.04587975,0.045404274,0.046458077,0.047501173,0.04640372,0.04319941,0.039535332,0.037519146,0.037339192,0.037623886,0.03654809,0.03373844,0.030184632,0.027468884,0.02638448,0.027125092,0.029310996,0.032676887,0.03625445,0.03892678,0.039424773,0.03776257,0.034807723,0.03188609,0.029602887,0.027925445,0.026778264,0.026338061,0.026851168,0.027914189,0.028738037,0.028618328,0.027647883,0.026471699,0.025873458,0.02611542,0.026990436,0.027851915,0.028235078,0.027841933,0.026868962,0.025614826,0.0245352,0.023836976,0.023489883,0.023298137,0.02321971,0.023544662,0.024515437,0.026010936,0.027491407,0.028753215,0.030295275,0.033073273,0.03729326,0.041923538,0.04518446,0.045888793,0.044187486,0.04104863,0.03764479,0.03462111,0.032450847,0.031185096,0.030677827,0.030519314,0.030374696,0.03016387,0.029902635,0.029561102,0.028993577,0.028293574,0.028079553,0.029499495,0.03358298,0.04095699,0.051830262,0.06725499,0.08919939,0.119662486,0.15698847,0.1934396,0.21631266,0.21520688,0.18992855,0.15221952,0.118579455,0.10015165,0.09821089,0.10687295,0.119046755,0.12998149,0.13783468,0.14220339,0.1425214,0.1379113,0.12830849,0.11631036,0.10595163,0.10014818,0.09794244,0.095850915,0.090770334,0.08253679,0.07326272,0.065161586,0.058894694,0.053858902,0.049414422,0.045493055,0.042274952,0.039654177,0.03739154,0.03527825,0.033356693,0.03158909,0.03006825,0.028843703,0.028077984,0.027647868,0.027306916,0.026719458,0.02580145,0.024716793,0.023715027,0.02302617,0.022889324,0.023837743,0.027140759,0.035620417,0.05406815,0.08652241,0.13001032,0.17104502,0.19107397,0.18087733,0.14794715,0.11148467,0.08638301,0.07571474,0.07277987,0.07106888,0.067860514,0.06403249,0.059885625,0.05524723,0.049598467,0.043889802,0.03936872,0.03720149,0.037370324,0.03913121,0.041028094,0.04180291,0.040819984,0.03874806,0.03674316,0.035698388,0.035384383,0.035123635,0.03440698,0.033312526,0.032063223,0.030743307,0.029335223,0.027907962,0.02663213,0.025585389,0.024697019,0.02383509,0.022956496,0.022102922,0.021313801,0.020570965,0.019837117,0.01909739,0.018355772,0.01761952,0.01691378,0.01630334,0.015854385,0.015569671,0.015355731,0.015087911,0.014680429,0.014122899,0.013502148,0.013131324,0.013582575,0.015542448,0.019152926,0.023848394,0.028265437,0.031356547,0.03252575,0.032220107,0.031001039,0.029572949,0.028124155,0.026683053,0.025119664,0.023458784,0.021870956,0.020509882,0.019387072,0.018362993,0.017338524,0.016370066,0.015577753,0.015001156,0.014521738,0.014034552,0.013593793,0.013442774,0.013774741,0.01448971,0.0151713425,0.015367739,0.014949244,0.014155651,0.013389365,0.012913483,0.012834919,0.013179518,0.014035091,0.015681103,0.018633703,0.023743747,0.031130686,0.039946184,0.047562063,0.051942687,0.052006256,0.04920091,0.045237944,0.04180302,0.039249524,0.037402008,0.035822656,0.03426452,0.032808866,0.03153827,0.030406654,0.029174862,0.027694033,0.02605676,0.0245122,0.023334177,0.022838214,0.023239335,0.024569152,0.026394965,0.028199233,0.029573554,0.030552233,0.031274736,0.03190616,0.03235941,0.03248069,0.031981383,0.030879276,0.029447997,0.028260706,0.027673053,0.027765514,0.028474407,0.029670237,0.031185068,0.032564726,0.036568586,0.052184165,0.09564904,0.17574978,0.27977246,0.36945143,0.4064757,0.3784283,0.30600527,0.22283311,0.15332173,0.10714289,0.08420571,0.08054318,0.08847385,0.098812334,0.10473531,0.10425029,0.09855148,0.089179434,0.0771642,0.06412379,0.05213164,0.04274675,0.036099013,0.03161304,0.028817212,0.02773408,0.028577894,0.03150109,0.03576568,0.03974408,0.041242763,0.039435957,0.035104796,0.030302696,0.026466215,0.02406629,0.022747159,0.022008628,0.021479778,0.020856814,0.020065943,0.019112365,0.018129667,0.017133253,0.016116261,0.015051793,0.013988401,0.012973168,0.012054104,0.011300654,0.010822218,0.010679671,0.010809771,0.011044729,0.011252533,0.011406322,0.011574176,0.011799394,0.012134104,0.012734208,0.013966677,0.016182149,0.019294746,0.022590429,0.02505442,0.026201615,0.026385458,0.026562609,0.02729878,0.028503561,0.02958749,0.030306622,0.03076683,0.031187216,0.031412378,0.031215794,0.030696088,0.030292625,0.030396516,0.030815125,0.03114211,0.03096272,0.030396536,0.029645182,0.028951397,0.02823636,0.02737858,0.026280059,0.024987372,0.023647448,0.02239717,0.021410005,0.020713873,0.020227768,0.01966829,0.01887191,0.017853742,0.016817525,0.015890194,0.015055443,0.014237939,0.013414077,0.012627778,0.011927899,0.011338711,0.010880892,0.010566552,0.010410746,0.010403504,0.0105315475,0.010786869,0.0111794425,0.011705517,0.012320521,0.012937578,0.013484548,0.013935875,0.014341283,0.014822886,0.015531381,0.016570123,0.017817318,0.018994823,0.019758366,0.020049108,0.02003854,0.021735096,0.02955358,0.050536275,0.08649901,0.1298648,0.16260523,0.170672,0.15209337,0.1190494,0.08558735,0.06030902,0.04443085,0.035815265,0.031888377,0.030472174,0.030138366,0.03002637,0.02971301,0.029100383,0.028226143,0.027355602,0.026549637,0.025839001,0.02508098,0.024278447,0.02340536,0.022500398,0.021559702,0.02058301,0.019559005,0.018470058,0.017391462,0.016430095,0.015710725,0.015195251,0.014787595,0.014361165,0.013971948,0.013792999,0.014155245,0.01524007,0.017036585,0.019125225,0.021075344,0.02253273,0.023527933,0.024161324,0.024544032,0.024640838,0.024412388,0.024013208,0.023804404,0.024429798,0.026239434,0.029201448,0.032491583,0.035268735,0.0368454,0.037242103,0.03668012,0.035490584,0.03388584,0.032153547,0.030664632,0.029633334,0.028948352,0.028146869,0.026932092,0.025378698,0.023970148,0.023022423,0.02248096,0.02195321,0.021132069,0.02002479,0.01884637,0.01779248,0.01686436,0.015974505,0.015129288,0.014468604,0.014173664,0.0142893195,0.01476959,0.0155908875,0.016801922,0.01832292,0.019831328,0.020805316,0.020975947,0.020404687,0.019516585,0.018615415,0.017838923,0.017067306,0.016236521,0.015385073,0.014709029,0.014342353,0.014334019,0.014622662,0.015181144,0.0159185,0.016652914,0.017141163,0.01727177,0.01716844,0.017022163,0.016979448,0.017055461,0.017308252,0.017788855,0.018458864,0.01905272,0.01919946,0.018710114,0.017768925,0.016864957,0.018153427,0.026511088,0.050305605,0.093625106,0.14994492,0.19855654,0.21928091,0.20500857,0.16803169,0.12691157,0.094814785,0.07439252,0.062840186,0.05668028,0.053250108,0.05072513,0.04789664,0.044815537,0.042215362,0.041164976,0.041733515,0.043291967,0.044711735,0.046031386,0.0475442,0.049376562,0.05005135,0.04848208,0.044649046,0.04046309,0.037789583,0.03768125,0.0397912,0.04278235,0.044774357,0.044044897,0.040244326,0.0346759,0.029652536,0.026930178,0.026912263,0.028707052,0.030831933,0.031920277,0.031451765,0.030223856,0.029814405,0.031235883,0.033680025,0.035209417,0.034366492,0.031814896,0.029614458,0.029961953,0.033244032,0.038295303,0.042726647,0.04500911,0.04479359,0.043407727,0.042145047,0.04178443,0.041906912,0.041898865,0.041209105,0.039796587,0.037746016,0.035334375,0.033087667,0.03184623,0.03263345,0.035687942,0.040393088,0.044869605,0.04769087,0.048021782,0.04662931,0.044409573,0.04228955,0.040356975,0.038498074,0.036462348,0.034240376,0.031949166,0.029837402,0.028189756,0.027277244,0.027200036,0.027663678,0.028097734,0.027858756,0.026777178,0.025085626,0.02331067,0.021790596,0.020649157,0.019816091,0.01922897,0.018822826,0.018572373,0.018386908,0.01822464,0.0179877,0.017640265,0.017216781,0.016941054,0.01722657,0.019164488,0.026051288,0.044112414,0.07919339,0.12894763,0.17859572,0.2071961,0.20303665,0.17243226,0.13453393,0.10557077,0.08958068,0.0803713,0.07122828,0.060473,0.0508469,0.04464319,0.041596908,0.03954573,0.037248526,0.03487052,0.03339423,0.03296325,0.03306434,0.03298534,0.032866254,0.03343247,0.035143644,0.03730017,0.038130272,0.036529604,0.032913845,0.029160699,0.026624365,0.025531972,0.025224715,0.025424434,0.026255326,0.027802585,0.029505104,0.03060241,0.030528756,0.02935344,0.027384698,0.025136374,0.022964587,0.02117776,0.019780295,0.018654525,0.017578712,0.0164686,0.015371629,0.014451806,0.013843182,0.013648573,0.013959341,0.014938462,0.016559824,0.018534726,0.020270912,0.021371284,0.021760173,0.02169793,0.021435805,0.021089578,0.020685524,0.020184228,0.019557571,0.01872365,0.017685903,0.016601218,0.015840506,0.01586817,0.017078416,0.019726688,0.024152955,0.030674016,0.039534573,0.04958329,0.05878712,0.06417044,0.0648231,0.061375514,0.05649355,0.051819008,0.048140302,0.045000553,0.04207739,0.039336573,0.03693573,0.035050888,0.033758134,0.033112954,0.03347032,0.03524529,0.03901327,0.044190373,0.04945639,0.052813087,0.053578317,0.052203547,0.050891522,0.053681955,0.06658242,0.094004475,0.13272661,0.17105551,0.1943611,0.19600634,0.17852055,0.15152955,0.12308756,0.09959049,0.083019294,0.07391351,0.07055113,0.07194061,0.0765389,0.08263538,0.087320514,0.08876842,0.086212955,0.080543585,0.07270423,0.06411927,0.055936176,0.049155947,0.044063564,0.040701006,0.038919147,0.038555503,0.039084587,0.03992253,0.040444408,0.04031897,0.03938508,0.03782612,0.036079828,0.034530837,0.033192825,0.031687006,0.029758826,0.027518867,0.025369117,0.023588322,0.022250904,0.021279946,0.020624025,0.020186147,0.019875685,0.019556358,0.019180275,0.018720059,0.01818859,0.017575992,0.01687921,0.01612743,0.015368663,0.014655993,0.014021768,0.013509774,0.013248555,0.013858086,0.01647158,0.022781253,0.0330953,0.046071187,0.057803363,0.065416135,0.067444086,0.06564506,0.061778773,0.0575493,0.05329148,0.049340982,0.045843247,0.042976942,0.040731583,0.039041396,0.03778321,0.036918845,0.036398053,0.03619559,0.03605783,0.035598636,0.034635883,0.033372078,0.032252748,0.03144728,0.030782187,0.030039234,0.0291967,0.028405568,0.027650386,0.026755793,0.025551863,0.024062373,0.022551483,0.021277567,0.020425195,0.019979252,0.01988416,0.0219385,0.030893544,0.05489592,0.09664018,0.148529,0.19093587,0.2088431,0.2002605,0.17778249,0.15330517,0.13168146,0.11202409,0.09409759,0.079552226,0.06883854,0.06086816,0.053852588,0.0470646,0.040437505,0.034315918,0.029322602,0.026011357,0.024523905,0.024187826,0.024053587,0.023403637,0.022285216,0.021193927,0.02056813,0.020343816,0.020116156,0.019574,0.018736413,0.017892273,0.017388193,0.017632881,0.01907686,0.022000296,0.026042042,0.03003279,0.032469675,0.032498103,0.030447884,0.027552051,0.02497896,0.023212282,0.022050604,0.021091526,0.020112157,0.019086534,0.018082984,0.017123977,0.016239222,0.015472298,0.014865181,0.014417302,0.014055614,0.013727859,0.0133870095,0.01304401,0.012713135,0.012485366,0.012479126,0.012796689,0.013394162,0.014064741,0.014524297,0.014559361,0.014169433,0.01352588,0.012876031,0.012346283,0.01192133,0.011511371,0.0110839745,0.01070994,0.010448657,0.010275076,0.010041046,0.009630281,0.009040251,0.008419517,0.007934584,0.0077043935,0.007754424,0.008083142,0.008630571,0.009292039,0.009899798,0.010334152,0.010586345,0.010800806,0.011193145,0.011940349,0.013185403,0.015090704,0.017935576,0.023526737,0.03570919,0.060277756,0.09692957,0.13616441,0.15935965,0.15564992,0.12850282,0.095857255,0.07293444,0.06514128,0.06714393,0.071152,0.07132714,0.065795265,0.05613436,0.045921747,0.03870062,0.03604579,0.0372323,0.03998832,0.042314533,0.043213826,0.04290107,0.041781858,0.040152922,0.038457725,0.037800614,0.040210556,0.046691224,0.056287188,0.065122664,0.06979301,0.06883749,0.064246275,0.058588248,0.05399199,0.051147614,0.050577577,0.05255443,0.05685683,0.0621009,0.066272676,0.06770324,0.06596811,0.06205448,0.057931725,0.0562851,0.05936758,0.06793734,0.07879889,0.08618183,0.084340505,0.0733481,0.058398496,0.046686932,0.04157467,0.04253545,0.04703604,0.05299734,0.05856986,0.06228411,0.06305759,0.061359,0.058155924,0.054810744,0.051616948,0.048525173,0.04501173,0.041133177,0.037282143,0.03426681,0.03272406,0.03308695,0.035089795,0.03802071,0.040746983,0.042839337,0.044474587,0.04646353,0.0488395,0.050915252,0.051462855,0.05009851,0.04729812,0.044050395,0.040967483,0.038203433,0.037297413,0.042589337,0.061656814,0.097543836,0.14239906,0.17604621,0.18113355,0.15626225,0.11781185,0.08452185,0.064234994,0.053513657,0.046227634,0.04011188,0.0355934,0.03305015,0.031672176,0.030477578,0.029112294,0.028142937,0.029052487,0.03365398,0.042088974,0.051870927,0.05839542,0.05875956,0.053442035,0.046260133,0.04064848,0.038100224,0.037703782,0.038204107,0.038701847,0.039112676,0.039384473,0.03940737,0.039097328,0.038758144,0.039102096,0.04014611,0.041029308,0.040052865,0.03676072,0.03198615,0.027674822,0.024964066,0.024122072,0.02457492,0.025617592,0.026535193,0.026814496,0.026353417,0.02536049,0.024216145,0.023143405,0.022328123,0.021877395,0.021984378,0.022590367,0.023433069,0.023937494,0.023860915,0.023267508,0.022652516,0.022232836,0.02199956,0.02164971,0.02103337,0.020145163,0.019147316,0.018224725,0.017556181,0.017213278,0.017177599,0.017317181,0.01756054,0.017869504,0.018266315,0.019004963,0.020666325,0.024206063,0.029528359,0.035229933,0.038496435,0.03873119,0.039724037,0.050721426,0.08058454,0.12912162,0.18274723,0.22006278,0.22792666,0.20861699,0.17768772,0.14807203,0.12484937,0.10480589,0.08585019,0.06840401,0.055599798,0.04901586,0.048425794,0.05186595,0.057394136,0.06320707,0.06818844,0.07117373,0.07181853,0.0696696,0.06546823,0.05997156,0.05500305,0.0515729,0.05031636,0.050398473,0.05078475,0.050295908,0.048646625,0.04615778,0.043797955,0.042428672,0.042296723,0.042892914,0.043163057,0.042523514,0.040968534,0.039213598,0.037755784,0.036741268,0.036087885,0.0363123,0.038828403,0.04503283,0.054667562,0.065137945,0.07288947,0.07598427,0.07546178,0.07468921,0.07736492,0.084563345,0.09373503,0.098887466,0.09551517,0.08305172,0.06610819,0.050202508,0.039288208,0.034457106,0.03589387,0.044893447,0.064496085,0.09541708,0.13157791,0.1592578,0.16656967,0.15229921,0.12776591,0.10679934,0.09618008,0.09320876,0.0911146,0.085201524,0.07547611,0.06495599,0.056901958,0.052280862,0.050210983,0.048932288,0.047623504,0.046347957,0.045649927,0.045455467,0.04489861,0.04313761,0.040257495,0.037674967,0.036923766,0.0387819,0.042209107,0.045070615,0.044857334,0.04077825,0.03400997,0.027232297,0.022377903,0.01993488,0.019136535,0.019128934,0.019323686,0.019373463,0.019057812,0.01852514,0.018538957,0.020621538,0.026770711,0.0383129,0.054109097,0.06940027,0.07783807,0.0754577,0.06392608,0.048892383,0.036090672,0.028128596,0.025012719,0.02568552,0.028838629,0.032771777,0.035606403,0.036303863,0.03505042,0.03287115,0.0307256,0.029116096,0.028243236,0.028072314,0.028384253,0.028642526,0.028269842,0.026997479,0.025056923,0.023058264,0.022596175,0.027226156,0.042713683,0.07207932,0.10997605,0.14139467,0.15181047,0.1385939,0.11363551,0.09295526,0.08463728,0.08573263,0.08815089,0.08629879,0.07986625,0.0721206,0.06650046,0.06449639,0.06575178,0.06914475,0.07398883,0.07996119,0.0866533,0.092747815,0.09585632,0.09407265,0.08738181,0.07887531,0.07244567,0.07093852,0.07409678,0.07998709,0.08623352,0.09154972,0.09467829,0.094152324,0.08848852,0.07834107,0.06656406,0.057075936,0.052371,0.053050164,0.058003247,0.06562658,0.07363764,0.0800476,0.08324278,0.08388253,0.083317734,0.08313193,0.08264437,0.0812394,0.07814603,0.07391266,0.06826484,0.06154025,0.05410086,0.04713461,0.04104882,0.03612091,0.032471444,0.030499661,0.029936858,0.029815963,0.029121095,0.027642103,0.026170885,0.025556743,0.02626802,0.029052516,0.037736304,0.060565427,0.10541383,0.16919501,0.23156029,0.26444268,0.2523677,0.20511656,0.14930345,0.108344935,0.08940963,0.08573818,0.08681802,0.085967265,0.0820811,0.076937996,0.072473794,0.069253065,0.06791225,0.06997954,0.07722598,0.08886677,0.10021547,0.10523999,0.10053507,0.08856135,0.07479182,0.06446273,0.058721274,0.056311756,0.0548012,0.052959297,0.050454717,0.047815453,0.045867946,0.045252796,0.04624329,0.04805975,0.049480483,0.049366146,0.047869492,0.046073925,0.044895336,0.044398677,0.04393686,0.043585896,0.04361391,0.044282198,0.044489846,0.043314572,0.040504385,0.037542526,0.03582989,0.035831254,0.036268488,0.035608027,0.03329497,0.030427186,0.028715117,0.028902477,0.030236533,0.03114845,0.03094439,0.029918797,0.028975204,0.02827888,0.027571006,0.026554009,0.02749178,0.03598395,0.060382437,0.102269255,0.15144932,0.18590479,0.19009168,0.16452639,0.12726393,0.095904924,0.078515194,0.07160685,0.06971415,0.069974706,0.07313367,0.07878372,0.08383874,0.08311654,0.07500258,0.062245984,0.050682683,0.043927338,0.043217614,0.047528554,0.055171292,0.06275121,0.06685463,0.06578832,0.061037704,0.055136293,0.049372748,0.043612044,0.037727073,0.032676708,0.029257724,0.027352773,0.025942044,0.02448886,0.023210973,0.022813253,0.023478262,0.024869883,0.026168166,0.026894966,0.02683597,0.026224075,0.025158137,0.023790648,0.022201652,0.020662697,0.019473063,0.018853942,0.01890033,0.019481555,0.020435486,0.021436721,0.022129247,0.022067765,0.021053277,0.019346753,0.017594248,0.01637504,0.015776204,0.015604332,0.017276056,0.027379608,0.059099313,0.12537664,0.22273712,0.32311034,0.384928,0.3851229,0.33455,0.26985893,0.21973187,0.19133337,0.17264354,0.15446393,0.13553177,0.12168419,0.11483842,0.11366179,0.114651464,0.11690668,0.1200108,0.12398893,0.12783271,0.13086276,0.13237904,0.13246126,0.13174804,0.13130681,0.13154596,0.13177572,0.13000657,0.124361716,0.11481585,0.104755245,0.098744005,0.09926503,0.10385913,0.10823387,0.1090644,0.10661007,0.10225299,0.098177455,0.09649984,0.09925086,0.10599681,0.11348473,0.11728257,0.11540401,0.10830361,0.098026596,0.08585143,0.073756725,0.06448879,0.06089845,0.062727384,0.06643658,0.06814501,0.06746772,0.06639525,0.06725598,0.07131067,0.08266461,0.10540416,0.13872884,0.17092453,0.18767798,0.18269747,0.16336799,0.14165284,0.12461781,0.111806296,0.10083323,0.09106514,0.0833505,0.0784809,0.076847024,0.07926949,0.08527657,0.09295761,0.098400086,0.09901959,0.09434695,0.08669857,0.078495,0.07096665,0.06394574,0.05736741,0.0518154,0.04767621,0.04423945,0.0405717,0.037058488,0.03562073,0.038002428,0.043987285,0.051390078,0.057262022,0.059312273,0.05663156,0.0498901,0.041155875,0.033044968,0.027587423,0.02541165,0.026032977,0.028889284,0.033921573,0.040927902,0.048972685,0.05634142,0.062091783,0.06618351,0.06920021,0.07057569,0.06920298,0.064495526,0.059284184,0.059861094,0.07490274,0.10770001,0.1511011,0.18589061,0.19447418,0.17267855,0.13530305,0.10295918,0.0891979,0.09272953,0.10335522,0.10955518,0.10592272,0.09352747,0.07780819,0.063726015,0.0539953,0.04890831,0.04799592,0.050144535,0.0534704,0.05504639,0.052687537,0.04641455,0.03906404,0.033913348,0.032344293,0.033158913,0.034473147,0.03567267,0.03714409,0.039100837,0.040850747,0.04192637,0.0422301,0.041663762,0.03926059,0.034656037,0.02912685,0.02574299,0.026250638,0.029801933,0.03301248,0.033719912,0.03200976,0.030545978,0.031765196,0.0368171,0.044093933,0.050196815,0.052638147,0.05351886,0.06077743,0.081953764,0.1173354,0.155107,0.17963016,0.18030135,0.15958403,0.12775646,0.096143015,0.070515685,0.05177936,0.038477305,0.029091807,0.022681909,0.018702371,0.016831959,0.016708098,0.017690117,0.019036435,0.020341577,0.021857372,0.024347568,0.028320001,0.033574495,0.038992047,0.043201696,0.04517122,0.04488197,0.04322347,0.04153851,0.040602606,0.04042779,0.04047011,0.040481564,0.040410336,0.040285617,0.040016696,0.03966115,0.039250433,0.0386194,0.0374793,0.035979375,0.034507576,0.03332645,0.032154746,0.030737942,0.029799035,0.03250791,0.044713,0.0713487,0.10927715,0.14476262,0.16028242,0.14905551,0.11953706,0.08926976,0.06976516,0.062489007,0.061054837,0.060002636,0.0571021,0.053835496,0.051988576,0.051984955,0.052145068,0.05059937,0.047008228,0.04270993,0.038998976,0.035996675,0.03304732,0.030168569,0.02869576,0.030857002,0.03867005,0.05147068,0.06531175,0.07346007,0.07200583,0.062002957,0.049531907,0.039819505,0.034731846,0.0327307,0.031923104,0.031371765,0.030774513,0.029682262,0.027566053,0.024423158,0.021052979,0.018489378,0.018482866,0.02468277,0.04379483,0.080686666,0.1313508,0.17879198,0.20250857,0.19266625,0.15812397,0.11849167,0.08975867,0.07629765,0.072721064,0.07220588,0.07046818,0.06777338,0.06470587,0.06168532,0.056944955,0.050318714,0.04254664,0.035967883,0.031293716,0.028263276,0.025810547,0.023671754,0.022082807,0.02193041,0.024415335,0.0309458,0.041040484,0.052117065,0.059801728,0.062173303,0.05993821,0.05625506,0.052837133,0.050485272,0.04955438,0.051571976,0.057673216,0.06670932,0.07512301,0.07907387,0.07791245,0.075656146,0.08028659,0.09998647,0.13510798,0.17428434,0.19720495,0.1910919,0.15969722,0.122101665,0.09523483,0.08402295,0.08101491,0.07708448,0.06805744,0.0559456,0.04455929,0.036507435,0.03226187,0.031716283,0.034293946,0.038893413,0.043395802,0.046317603,0.047289405,0.04674831,0.04464559,0.04047732,0.034715995,0.028775258,0.024579713,0.022584671,0.022286646,0.022463506,0.022582179,0.022499733,0.022432072,0.02242144,0.022510119,0.02277962,0.023310171,0.02404054,0.026101382,0.035590213,0.06556634,0.13025413,0.22851193,0.33513036,0.40988708,0.42706048,0.39034197,0.32666472,0.26129392,0.2067619,0.16508119,0.13630365,0.120013274,0.112823315,0.10893788,0.103074856,0.09428752,0.08482101,0.0776614,0.073531605,0.07129723,0.069874436,0.06922665,0.070103966,0.07210449,0.07384199,0.07340313,0.07024903,0.06528598,0.060190905,0.0558427,0.05210415,0.048626617,0.045754775,0.043994065,0.043157693,0.04287154,0.04550792,0.057677764,0.08693568,0.13260885,0.18149424,0.21286099,0.2140329,0.18812685,0.15147956,0.119618684,0.09959362,0.08883515,0.081743,0.07420216,0.06572376,0.057768077,0.05187328,0.04845803,0.047379676,0.048460443,0.05157988,0.055739775,0.059216727,0.060200214,0.058549304,0.05546287,0.052721128,0.0508495,0.049502384,0.047970492,0.04625627,0.044731308,0.04429546,0.04624975,0.05239457,0.065353416,0.090380274,0.13692741,0.21226902,0.30950227,0.39975917,0.44589314,0.4272008,0.35459813,0.26006898,0.17396724,0.11121834,0.07245158,0.052285895,0.044201296,0.04238689,0.04224673,0.041356456,0.03958982,0.038066857,0.037741456,0.038377058,0.039168563,0.0392196,0.038727462,0.038265422,0.03904217,0.04122227,0.044393342,0.046891823,0.04780102,0.046745703,0.04462109,0.041903507,0.040426984,0.043938953,0.059571996,0.09057274,0.13148446,0.16596843,0.17953728,0.16866255,0.14344,0.116559334,0.09542673,0.08039557,0.06927811,0.060492564,0.05380789,0.049681086,0.048231293,0.04870081,0.049340393,0.049025834,0.048057806,0.048866823,0.05432823,0.0654113,0.07965291,0.09103745,0.094741315,0.08888784,0.0772508,0.064295374,0.054397147,0.048308473,0.046822537,0.051498514,0.067749366,0.1000649,0.14713724,0.19662188,0.23139696,0.23890115,0.21985042,0.18448718,0.14586191,0.1123972,0.08832345,0.07371689,0.06673349,0.06351915,0.061126243,0.0582791,0.05588254,0.05472297,0.054844037,0.0553996,0.055529978,0.05456916,0.05230039,0.050120205,0.05051616,0.05584692,0.06551008,0.07711961,0.08954681,0.10581875,0.13015564,0.16037749,0.18565314,0.1919259,0.1754025,0.14478503,0.11652377,0.10090818,0.0997473,0.10682426,0.11586668,0.12181425,0.12310629,0.11936758,0.11176508,0.10168151,0.091088176,0.08199943,0.07660508,0.07613056,0.07957681,0.08315707,0.08299873,0.07816464,0.071282774,0.0653918,0.06280714,0.06622078,0.081111014,0.10908813,0.14371552,0.16886194,0.17370246,0.15893364,0.13736694,0.11945335,0.108686745,0.10251451,0.09870976,0.09653292,0.09555232,0.09520174,0.0953097,0.09570072,0.095753156,0.09407767,0.09077705,0.08720758,0.08548943,0.08615648,0.088852815,0.09309923,0.098121725,0.10352192,0.11020396,0.12406764,0.14936072,0.18429731,0.21587062,0.23338781,0.23485391,0.22877802,0.22131498,0.21171689,0.1975321,0.18010037,0.16534792,0.15504201,0.14776726,0.14119537,0.1373068,0.13808137,0.14171106,0.14311175,0.13910846,0.13137905,0.12343716,0.117254384,0.11298586,0.11188788,0.11687946,0.13112901,0.15256529,0.1739393,0.18317169,0.17407525,0.14832285,0.11752465,0.09228158,0.07842798,0.07356969,0.072343566,0.070267774,0.06680335,0.06422994,0.06422192,0.06616483,0.06768093,0.067375846,0.06513337,0.06192452,0.05844212,0.055841047,0.055096492,0.056996856,0.062084187,0.07211179,0.09072551,0.11803371,0.14743991,0.16473289,0.16122325,0.13892196,0.11130816,0.089170225,0.07584182,0.06710554,0.059273776,0.051487643,0.04534847,0.042123094,0.04206334,0.04450768,0.048456058,0.05281235,0.05636793,0.05825865,0.05799206,0.056367565,0.056658193,0.0649792,0.08781699,0.12362859,0.16034071,0.17867565,0.16925222,0.13775417,0.102582455,0.077316366,0.06551951,0.061461877,0.059900224,0.05854174,0.057787802,0.05760005,0.057303984,0.056205,0.05436595,0.05242115,0.050944105,0.050462186,0.051753446,0.05721606,0.070881575,0.09642515,0.13093235,0.16297972,0.17656499,0.1643051,0.13230257,0.09721524,0.072643824,0.063234806,0.064454906,0.06942665,0.07334342,0.075371474,0.07706684,0.07924981,0.08057513,0.078449935,0.072097585,0.06313156,0.056257773,0.057751656,0.075853854,0.112346195,0.15903626,0.19524902,0.20523046,0.18659236,0.15477292,0.12575881,0.10792462,0.09817053,0.091108,0.083173335,0.07447324,0.065983616,0.058502275,0.052093092,0.047137138,0.044463556,0.0455309,0.052652385,0.069096096,0.09822718,0.13741516,0.17632948,0.19812739,0.19365239,0.16620068,0.13216387,0.10586444,0.093297444,0.08976551,0.08836349,0.08488812,0.07977631,0.075381346,0.07341676,0.07386116,0.07566797,0.07843849,0.083880045,0.096303545,0.11782048,0.14473884,0.16547959,0.17031384,0.1572222,0.13447353,0.11088883,0.091415845,0.07618543,0.06532818,0.05919947,0.05724025,0.05691577,0.05593541,0.054106545,0.057083715,0.076301135,0.12779747,0.21482193,0.3193117,0.40080383,0.42870542,0.39919102,0.3384168,0.27395543,0.22130616,0.181722,0.15310471,0.13309819,0.119153716,0.10871393,0.101293355,0.09969745,0.10890496,0.13251466,0.16653882,0.19765697,0.20887066,0.19333823,0.15916614,0.12391109,0.09977078,0.088439666,0.083532594,0.07905277,0.07261338,0.06556859,0.060589746,0.061389294,0.07219425,0.096288525,0.12993804,0.16164672,0.17630236,0.1684041,0.14390413,0.11633084,0.0941652,0.07981965,0.07085741,0.065253764,0.061009686,0.057072878,0.05304982,0.051513087,0.057355683,0.07800879,0.11467918,0.1588667,0.19022109,0.1934915,0.16817011,0.13244353,0.10635539,0.09888878,0.10378495,0.10845291,0.10565969,0.09695065,0.09116501,0.097907156,0.12395185,0.16803253,0.21869414,0.2573191,0.2687941,0.25057653,0.21341912,0.17272407,0.14041184,0.1204079,0.110457815,0.10645357,0.108021826,0.12030649,0.14619356,0.1795911,0.20325232,0.20414789,0.18191977,0.15064862,0.12365333,0.10633699,0.095904715,0.088691376,0.08472187,0.08779749,0.10492218,0.1390164,0.18456447,0.22408009,0.24074501,0.22783946,0.195013,0.15737706,0.12673585,0.106077366,0.09335983,0.086904,0.09046929,0.1136778,0.16392697,0.23252653,0.29217538,0.3115872,0.28237692,0.22386958,0.16854763,0.13457552,0.121174134,0.11657655,0.11657765,0.1294,0.17229407,0.25016546,0.34307095,0.4074441,0.41061684,0.3540591,0.27606085,0.2164767,0.19224036,0.1917646,0.19724344,0.20038074,0.20671965,0.22231813,0.24499099,0.26201186,0.261952,0.24312873,0.2168727,0.19681938,0.19010912,0.19300197,0.19944249,0.20593743,0.21171229,0.21255337,0.20171791,0.1771784,0.14567517,0.119613625,0.107732594,0.110605896,0.12264218,0.13718064,0.15221564,0.16606562,0.17611359,0.17546351,0.16296454,0.14319672,0.12538306,0.112989806,0.107333206,0.113181986,0.14525801,0.21407437,0.31121925,0.40065238,0.44267988,0.41895983,0.34747198,0.26305264,0.1954571,0.15601695,0.14431952,0.15343519,0.17318444,0.188603,0.18821727,0.16902761,0.1394623,0.10973281,0.087094285,0.074812174,0.07770284,0.10023173,0.13953507,0.18045168,0.20238143,0.19399874,0.16080207,0.120478906,0.09019851,0.079856895,0.090352766,0.11466507,0.13902067,0.14890878,0.13832428,0.11382666,0.08926397,0.07664105,0.08222448,0.10744556,0.14900275,0.19708492,0.23769319,0.25980893,0.26334774,0.25843358,0.26030084,0.2780436,0.3095638,0.3390075,0.34965202,0.33456767,0.30556837,0.28123868,0.27618358,0.28925538,0.31001034,0.32477954,0.3274437,0.32042012,0.31237113,0.31211695,0.32203993,0.33853555,0.35188398,0.3549223,0.3457711,0.3328385,0.3291761,0.34282956,0.36971697,0.39203092,0.3950235,0.37289158,0.33659795,0.29841486,0.26989314,0.25302577,0.2464171,0.24547215,0.2507898,0.27073,0.31550953,0.3821253,0.44480145,0.47054633,0.44523087,0.3883452,0.3348479,0.30740967,0.3028365,0.30490646,0.3041459,0.30514166,0.31648892,0.33622918,0.34960487,0.3418999,0.3140118,0.28275797,0.267113,0.27116582,0.2855351,0.29722247,0.30311844,0.30439195,0.29993513,0.28563488,0.26713085,0.26810244,0.3095192,0.38782516,0.4623109,0.49222624,0.4647759,0.40735522,0.35558626,0.32738698,0.31700858,0.30716428,0.2874762,0.2570535,0.22610854,0.20411141,0.19556604,0.19622087,0.19980313,0.20192677,0.20154977,0.19861448,0.19322228,0.1861441,0.17895864,0.1730782,0.16903281,0.16651921,0.1656413,0.16619273,0.16766804,0.167654,0.16419713,0.15619196,0.1455157,0.13465793,0.12624525,0.12064644,0.11660507,0.111403845,0.10375914,0.09508884,0.08896037,0.0874873,0.08874765,0.088159226,0.08235199,0.07264533,0.06402426,0.06140561,0.06575962,0.07352165,0.07953098,0.08037597,0.07604062,0.06847347,0.059703413,0.05073334,0.042028576,0.034309343,0.028714208,0.026277952,0.027101735,0.030389199,0.034928527,0.03991778,0.044934068,0.04968798,0.05379577,0.05696048,0.059198618,0.060757685,0.06193353,0.06293025,0.06371366,0.064189374,0.06412763,0.06358195,0.06257715,0.061330635,0.05982673,0.05826759,0.056735322,0.055440556,0.054254636,0.053150807,0.052062016,0.051139418,0.05026291,0.04924649,0.04791756,0.046559066,0.045576964,0.04521257,0.04524483,0.045316756,0.045177195,0.044811264,0.044319063,0.043831225,0.043489624,0.043360885,0.04344624,0.043649834,0.043898627,0.044122685,0.04431474,0.044449355,0.044487882,0.044310044,0.043800697,0.04297458,0.04207611,0.041515395,0.04149568,0.041833032,0.041979134,0.041612834,0.040861953,0.04024035,0.04008394,0.040367227,0.040805966,0.041151732,0.041335896,0.041430935,0.041561827,0.041768342,0.04198261,0.04210828,0.04213805,0.042123627,0.042126384,0.04213221,0.04216513,0.04220696,0.042277873,0.042298947,0.04223478,0.042018685,0.04170381,0.041356564,0.04112411,0.041044977,0.041109424,0.041175503,0.0411237,0.040883522,0.040469628,0.04003887,0.039751433,0.039847437,0.040341005,0.041157056,0.04201007,0.042723265,0.04318617,0.0434519,0.043581635,0.043629646,0.04357749,0.043410897,0.04316078,0.042920277,0.0427593,0.042665884,0.042562842,0.042369667,0.04203211,0.041568544,0.041053634,0.040648345,0.040433463,0.040388048,0.040324464,0.040094707,0.039685175,0.039246734,0.03891984,0.03865953,0.038332347,0.03787527,0.037431467,0.037133608,0.036981706,0.036828622,0.036548,0.036076114,0.03539589,0.0345597,0.033702563,0.033008486,0.032547098,0.032255035,0.03196824,0.03158405,0.031065298,0.030474424,0.029888652,0.029376594,0.028899228,0.028336069,0.027622074,0.026851142,0.026241526,0.025859356,0.025584154,0.025181636,0.024584554,0.02384454,0.023065435,0.02225393,0.021401139,0.0205013,0.019582208,0.01864589,0.017688574,0.01670538,0.015712323,0.014722315,0.01374799,0.012793508,0.011861066,0.010942989,0.010025798,0.009090588,0.008127759,0.0071496554,0.0061931442,0.0052875727,0.0044325977,0.0036044868,0.0027983312,0.0020428044,0.0013866216,0.0008645458,0.00048731687,0.00024230446,0.00010691333,5.7372672E-05]