[0.26150048,0.2820959,0.31551084,0.33481523,0.33126432,0.31456503,0.2990545,0.28718582,0.27376166,0.25217798,0.22311418,0.19294518,0.17271547,0.17318647,0.19887668,0.241926,0.28160372,0.2979366,0.2851443,0.25608632,0.22825123,0.21123242,0.20540892,0.20792645,0.21659058,0.22365074,0.21906316,0.19794263,0.17388213,0.17102396,0.20380838,0.25907454,0.303849,0.31451708,0.2934591,0.26544526,0.25309595,0.2673356,0.3021517,0.34209704,0.3635197,0.34968975,0.29973665,0.23585118,0.1854447,0.16523951,0.16898389,0.17909007,0.18077423,0.17090343,0.15501542,0.14029087,0.13271156,0.1336773,0.13877074,0.1394548,0.12992598,0.11235484,0.094746314,0.08325343,0.07844212,0.07571166,0.07180802,0.06551611,0.058376268,0.050460245,0.041316237,0.030558825,0.019875078,0.011770017,0.007880093,0.008110873,0.012230565,0.021839524,0.042300362,0.07894006,0.1314857,0.18691503,0.22718145,0.24120061,0.23811941,0.23537137,0.24458419,0.25807104,0.2650433,0.261548,0.25955012,0.26725563,0.28392515,0.29443654,0.28906155,0.26735994,0.24333327,0.23135673,0.2413181,0.26844755,0.29765844,0.30918443,0.29591915,0.26595464,0.23664695,0.21598522,0.2011162,0.18515934,0.16979964,0.15982644,0.1551384,0.14608751,0.12598282,0.10029929,0.0869461,0.10061856,0.14075585,0.1895718,0.22476535,0.23373614,0.21853602,0.19072819,0.16064622,0.13425718,0.11270156,0.09643796,0.086313576,0.084915936,0.097682945,0.1285911,0.17849658,0.23742135,0.2918379,0.32728675,0.3419151,0.3393694,0.32505628,0.29550946,0.24741937,0.18438976,0.12032696,0.070416786,0.045388132,0.052759126,0.09891828,0.18203259,0.28345415,0.3694886,0.41292405,0.40988323,0.38074246,0.34758067,0.31970528,0.29370928,0.26705083,0.24132687,0.21866542,0.19674875,0.1739585,0.1523239,0.13802105,0.13458453,0.13970552,0.14482148,0.14037754,0.12394253,0.104466476,0.10102127,0.13085593,0.19595814,0.27423203,0.32865015,0.33100334,0.28156248,0.2091078,0.14709695,0.115221344,0.11130452,0.12522501,0.14491735,0.1644178,0.17782219,0.18218796,0.17418408,0.15462925,0.12617521,0.095502295,0.070728645,0.06234303,0.0775538,0.1156748,0.16300493,0.1996017,0.2096461,0.19108652,0.15512823,0.120347895,0.104973145,0.1180158,0.15421386,0.19458061,0.21834993,0.21351783,0.18307357,0.14205231,0.11263406,0.11683459,0.16311808,0.2402277,0.31745532,0.36642265,0.37334526,0.34759188,0.3067799,0.2666501,0.23146075,0.19906086,0.16748096,0.1395735,0.12269675,0.12367707,0.14919227,0.20114028,0.27462006,0.34926096,0.39718607,0.3984518,0.359574,0.306828,0.2667907,0.24958445,0.2537526,0.27094197,0.2890337,0.29103243,0.2692329,0.23091216,0.19330959,0.16579984,0.14637898,0.13028747,0.119596414,0.12308508,0.14529802,0.18051893,0.21167146,0.22224922,0.20467794,0.1648113,0.11576744,0.07163624,0.042732846,0.03476682,0.04995032,0.08778343,0.14338155,0.20530815,0.25601602,0.2799144,0.27328193,0.24990934,0.23428477,0.2430861,0.27237564,0.2978275,0.29821575,0.26906714,0.22738624,0.19147903,0.17267726,0.16775964,0.1681612,0.162386,0.14483686,0.11635944,0.08440811,0.05654328,0.0375743,0.03010167,0.037032932,0.06232049,0.10470867,0.1543494,0.19182582,0.20371163,0.19260429,0.1826121,0.19679153,0.23968148,0.28666902,0.30960718,0.29839417,0.27174747,0.25212425,0.24553609,0.23808457,0.21765308,0.18918104,0.1702873,0.17164342,0.18567528,0.19185583,0.17581965,0.13849302,0.09457906,0.059967127,0.047431085,0.0657319,0.11712662,0.18993151,0.25856602,0.2981473,0.3028575,0.28742728,0.2739872,0.27715454,0.3011594,0.34265807,0.38955557,0.42495346,0.43161964,0.406204,0.35672292,0.30137208,0.25537023,0.2314549,0.23088801,0.24503326,0.2559289,0.25128436,0.23367853,0.21936737,0.22605634,0.2576934,0.30107975,0.3317316,0.33252504,0.3072277,0.27692223,0.26066434,0.25515714,0.241974,0.20514248,0.15039362,0.09562824,0.05750795,0.04068421,0.04446515,0.07004299,0.116407864,0.17624106,0.23132195,0.267504,0.27773643,0.26914224,0.251847,0.23795742,0.2343175,0.24326025,0.26320657,0.28947088,0.3159051,0.33133975,0.3250755,0.2908049,0.2348681,0.17404537,0.1294501,0.11663365,0.136693,0.17573385,0.20953918,0.22157514,0.21303868,0.20540412,0.21985574,0.2617334,0.31376243,0.35115898,0.3554548,0.3247883,0.27155435,0.21729602,0.17912503,0.16125877,0.15243943,0.1414793,0.12817942,0.12550157,0.14104724,0.16976725,0.19568706,0.21340476,0.22640967,0.24334455,0.25866055,0.26463565,0.2562421,0.2415847,0.22781269,0.21717457,0.2080952,0.20067036,0.19661154,0.19104071,0.17808013,0.15330014,0.12253193,0.09389008,0.07745087,0.07791733,0.094220854,0.11686826,0.13362153,0.13979083,0.1417625,0.15328608,0.17860194,0.20976512,0.23273402,0.24966593,0.2767249,0.32750535,0.3891996,0.43061233,0.43016517,0.39416003,0.35236648,0.32993373,0.33653829,0.3598592,0.38172472,0.38430527,0.3644007,0.33126196,0.30485237,0.29679474,0.3027213,0.29951116,0.26851556,0.2094019,0.14508879,0.100421816,0.084738605,0.08661155,0.086402655,0.07424143,0.056895185,0.0540078,0.08359706,0.14737852,0.22732635,0.29087654,0.313163,0.2870595,0.23198968,0.1790901,0.15905648,0.18100047,0.2308412,0.27814427,0.3027036,0.30354092,0.29898486,0.30060065,0.3057059,0.29814792,0.27111006,0.23317675,0.20088823,0.18221158,0.17304033,0.16895644,0.17310822,0.19309314,0.22702591,0.2599789,0.27131033,0.2496367,0.19922324,0.13697399,0.08123702,0.04338516,0.02544304,0.026549404,0.048722904,0.09675547,0.16827326,0.24712561,0.3066992,0.32548112,0.298811,0.24061315,0.17558481,0.12915017,0.11932257,0.14640944,0.19539444,0.24156435,0.27041796,0.27595252,0.26301196,0.23363183,0.19527371,0.15520608,0.12277633,0.09889325,0.07973673,0.060450833,0.041553814,0.027507124,0.022769116,0.03017138,0.05168054,0.090656124,0.14873488,0.2187471,0.28296182,0.32091442,0.32768044,0.31441686,0.29982665,0.29086196,0.28731915,0.2856352,0.28812182,0.29249263,0.29239237,0.27504042,0.23676173,0.18636453,0.14891042,0.14573045,0.18113063,0.23445714,0.27740476,0.2929524,0.28308412,0.26239714,0.24218531,0.22861193,0.21984494,0.21395493,0.20469253,0.1885324,0.16479807,0.14353006,0.13518117,0.14601213,0.16828366,0.19133763,0.20522015,0.20920776,0.20586902,0.201182,0.19844203,0.19581603,0.18502694,0.15858053,0.118207455,0.075200826,0.043110717,0.030305013,0.04010215,0.06973582,0.10925299,0.14059372,0.15040977,0.14163433,0.13575244,0.15363072,0.19728653,0.244506,0.26783228,0.25412318,0.2152627,0.17447388,0.15075792,0.14668417,0.15308636,0.15782152,0.15316905,0.13906427,0.12107715,0.11108356,0.1218912,0.1613332,0.22097063,0.27792868,0.30784246,0.30171105,0.26930016,0.2264747,0.18620574,0.15174565,0.123631515,0.098033525,0.07443884,0.053478852,0.04162118,0.046388626,0.074132055,0.1235139,0.18320517,0.23981594,0.28614542,0.32609805,0.3600395,0.37844142,0.36431423,0.3123965,0.23576291,0.16048765,0.11149799,0.10336757,0.13412191,0.18524812,0.22993939,0.25010422,0.24658328,0.23373985,0.22512604,0.22411829,0.2262976,0.22503662,0.21514364,0.19472568,0.16649391,0.13978484,0.12679638,0.13638037,0.165195,0.19806749,0.21572395,0.20909323,0.18320332,0.15144071,0.122522265,0.09723538,0.07242019,0.048722368,0.03344245,0.038877774,0.07672164,0.14431085,0.2190501,0.26444495,0.26000407,0.2139418,0.15859781,0.11819467,0.09786895,0.08521727,0.070506655,0.051559586,0.035422277,0.030561468,0.044840094,0.078549065,0.12290883,0.16056168,0.17877561,0.17857051,0.17375785,0.17599642,0.18194447,0.1787331,0.15565364,0.11822555,0.08230547,0.06828912,0.085257925,0.12785,0.17304327,0.19592877,0.1822593,0.14007777,0.09088996,0.059311464,0.063063845,0.11034728,0.19458735,0.29138812,0.3656888,0.39326513,0.37397087,0.33061072,0.28475535,0.24722356,0.21509616,0.18970288,0.17916311,0.19504045,0.23532999,0.28022897,0.3054106,0.3046001,0.29701957,0.30869186,0.34393743,0.3812561,0.3925552,0.37502265,0.34789643,0.3336601,0.3276803,0.30855167,0.25761598,0.18283904,0.10738137,0.052685753,0.02336614,0.012990235,0.013290517,0.02319169,0.047444474,0.092727505,0.15458126,0.21784358,0.2629901,0.2895061,0.31366536,0.35417196,0.40602317,0.44595352,0.4508735,0.416666,0.356366,0.29154113,0.2437226,0.2273436,0.24101846,0.269721,0.29541767,0.31276557,0.32475975,0.33066383,0.3191354,0.27948868,0.21872388,0.15855938,0.122451216,0.11596367,0.12840603,0.14102237,0.14324848,0.13565841,0.12790357,0.12976108,0.14930674,0.18870497,0.2448874,0.30683717,0.362996,0.40163156,0.41738728,0.4070088,0.37566057,0.33068228,0.28273487,0.23850928,0.20217516,0.17371957,0.15333827,0.14760393,0.17185123,0.23629002,0.32823604,0.40612853,0.42825082,0.38125792,0.29286858,0.20407522,0.14165406,0.105557084,0.08602289,0.0812686,0.103331685,0.16066442,0.24489062,0.32608822,0.3744701,0.37466347,0.33707568,0.28746417,0.25377074,0.2485544,0.26128897,0.27017954,0.25981948,0.23496342,0.211299,0.20559157,0.22438534,0.26422003,0.311153,0.3527895,0.38546506,0.41676247,0.448759,0.47235027,0.4701858,0.43776277,0.3876183,0.34381357,0.31979415,0.31202945,0.30513206,0.28935522,0.26489076,0.23736392,0.21153973,0.19253731,0.18467794,0.18659632,0.19066502,0.1930014,0.19875717,0.21236147,0.22456539,0.2160489,0.17803907,0.12144297,0.0686867,0.0364362,0.0349246,0.07366664,0.15981989,0.28095138,0.39725372,0.45959294,0.44780758,0.38589755,0.32319975,0.2910188,0.2856564,0.28086582,0.25979415,0.22631995,0.19548847,0.17555447,0.16517602,0.16353428,0.17603768,0.20744975,0.24960475,0.2827915,0.28888264,0.26556775,0.2289225,0.20208532,0.20163476,0.22414549,0.25088903,0.25806537,0.23804848,0.20050277,0.16670124,0.14884026,0.14661568,0.15142627,0.16095959,0.17792244,0.20234235,0.22263104,0.2272168,0.21379326,0.19501275,0.18236797,0.18245976,0.19190818,0.2057171,0.21390374,0.20875931,0.18778218,0.1608871,0.14225955,0.14312519,0.1646276,0.20142359,0.24646187,0.29178855,0.3297882,0.349435,0.34445766,0.3144976,0.2716972,0.23062582,0.20154732,0.183284,0.16881305,0.15376903,0.14091988,0.13562043,0.1380884,0.13952313,0.12997665,0.10526323,0.07277024,0.04500552,0.03461294,0.0481562,0.08249261,0.12606384,0.16045512,0.17456669,0.16725571,0.15436517,0.15312904,0.17580032,0.21661668,0.25849995,0.281255,0.27377835,0.23930164,0.19020824,0.14106375,0.099298276,0.06667053,0.04357342,0.0340206,0.044673234,0.07491221,0.114496745,0.14490812,0.15905708,0.16432007,0.1770953,0.19819792,0.21160494,0.19923599,0.16405489,0.12848909,0.116238706,0.13404125,0.17097235,0.20735395,0.22578664,0.21799415,0.1881069,0.14919265,0.11555448,0.095457666,0.091012396,0.098654754,0.11451637,0.13316488,0.15292633,0.16980566,0.17960437,0.1746863,0.1529123,0.11852462,0.081635006,0.05066474,0.029236456,0.016584879,0.010653771,0.00981258,0.014674462,0.027081857,0.050379943,0.084203966,0.12578268,0.16868468,0.20954923,0.24500835,0.27118328,0.27955732,0.26330805,0.22454758,0.17782874,0.14355771,0.13325481,0.14423625,0.16222532,0.17730391,0.18587361,0.19010216,0.18828923,0.17996426,0.16740416,0.1564204,0.14754839,0.1356854,0.11535674,0.09030477,0.07283892,0.077599116,0.1107539,0.16510518,0.22089563,0.25552565,0.2567075,0.23148204,0.20206803,0.18880995,0.19436377,0.20421702,0.20390368,0.19277251,0.18055421,0.17305775,0.16884248,0.16779612,0.17704798,0.2004068,0.22627866,0.23249505,0.20576318,0.15535317,0.10353855,0.06871367,0.0534203,0.05048844,0.0501695,0.047188807,0.039882373,0.030813076,0.024228944,0.024421131,0.032387942,0.046846393,0.06587269,0.08792586,0.10881698,0.12137123,0.12029231,0.10855093,0.095877685,0.090242036,0.0913516,0.09265623,0.0882813,0.07632972,0.059478033,0.04203799,0.030639267,0.032285497,0.05515848,0.10258055,0.17024417,0.24153142,0.29622462,0.31830946,0.30847958,0.28177598,0.25959554,0.2524039,0.25224698,0.24030145,0.20428057,0.14978962,0.09506289,0.06059486,0.06173567,0.105661534,0.18518567,0.27827445,0.3579003,0.4092131,0.43094435,0.4252067,0.38793054,0.31789452,0.22753167,0.14196695,0.08422631,0.063233644,0.07399707,0.103024155,0.13548465,0.15783514,0.16355394,0.15382677,0.13649152,0.11934349,0.10607047,0.095497765,0.084067106,0.06943529,0.052179117,0.03565793,0.023272583,0.01636187,0.013822444,0.013732026,0.01586701,0.022845766,0.041718077,0.07987232,0.14180027,0.21937399,0.29288745,0.3361031,0.33622828,0.3039644,0.270176,0.2607958,0.27736306,0.29667503,0.2951273,0.26856855,0.2323006,0.20246147,0.18299131,0.17084725,0.16346775,0.16199122,0.16423756,0.16866195,0.17765485,0.19592516,0.21889049,0.22881968,0.2095655,0.16248046,0.10858212,0.070184514,0.05861556,0.073523246,0.111385666,0.16168298,0.20630491,0.22507124,0.21751332,0.20181543,0.19884901,0.20860809,0.21763211,0.2181062,0.21597765,0.21731289,0.21557863,0.19866993,0.16325474,0.11932835,0.08396735,0.07408222,0.10345947,0.17248116,0.26077297,0.32989678,0.35053632,0.32353365,0.27949265,0.24810915,0.23444046,0.2205599,0.18887345,0.13985556,0.08777105,0.047241587,0.022673473,0.011095141,0.009058964,0.01768551,0.04198387,0.08140603,0.1269303,0.16292477,0.18260479,0.1918856,0.20219307,0.2165538,0.2250111,0.2191749,0.20114653,0.1873704,0.19067694,0.21161892,0.23492728,0.24421228,0.23231055,0.20640731,0.18035282,0.16427863,0.15940523,0.15996379,0.1633243,0.16978292,0.18086697,0.18967746,0.1886407,0.17514873,0.15883249,0.15014039,0.15155117,0.15487917,0.15201418,0.14342473,0.13531418,0.13187121,0.1300615,0.12606959,0.11927876,0.11408322,0.114424795,0.12210506,0.13759893,0.1604464,0.18824627,0.21049595,0.21558608,0.19942291,0.17892523,0.17882209,0.21427257,0.27571642,0.3398584,0.38705644,0.40910423,0.40944472,0.3944371,0.37270105,0.34562388,0.31103057,0.26674986,0.22197235,0.19090916,0.18278973,0.19190304,0.20413192,0.20545928,0.18984462,0.15921621,0.12200115,0.08747878,0.061265957,0.0429552,0.030086702,0.020899555,0.017348453,0.02288816,0.04209791,0.073626935,0.11090753,0.143933,0.17316984,0.20729876,0.2562243,0.3135697,0.35951677,0.3717655,0.34313545,0.28594247,0.22422849,0.17898624,0.1572947,0.15362798,0.15746266,0.16058254,0.15863086,0.15092698,0.13942897,0.12762152,0.11753631,0.10838724,0.09763902,0.08457012,0.07224138,0.064533316,0.062207744,0.061083686,0.058166474,0.057845373,0.07261177,0.113669254,0.17840879,0.25097403,0.3103067,0.34581566,0.35605738,0.34778008,0.32758892,0.30071977,0.27080664,0.24230601,0.22944914,0.24451013,0.28815445,0.33422735,0.3568431,0.3495183,0.33598176,0.334808,0.3423121,0.33493733,0.3037406,0.26097032,0.22842859,0.21271141,0.20710956,0.20037468,0.18767042,0.1667047,0.13809697,0.10413911,0.07142534,0.04559068,0.031005988,0.030405039,0.049522113,0.090547174,0.14810838,0.20415437,0.2430826,0.2556598,0.24731393,0.22406532,0.19895701,0.18211842,0.183964,0.19926149,0.2145092,0.2141938,0.19440109,0.16230859,0.13017677,0.11207568,0.117473446,0.14750293,0.18686087,0.21138035,0.2028274,0.16420792,0.11636621,0.080070846,0.062549844,0.057262775,0.0579256,0.063476354,0.07894375,0.10522161,0.14024222,0.17532645,0.20309906,0.2161287,0.21602486,0.20683593,0.19420208,0.17682576,0.15461667,0.13127853,0.116196394,0.11355919,0.11871328,0.11980096,0.10878271,0.0858109,0.05869806,0.0354023,0.020003991,0.012295024,0.010674848,0.014422123,0.023214033,0.036904633,0.056343064,0.085936524,0.13134219,0.19256626,0.2570071,0.30380118,0.31570014,0.29131332,0.24391693,0.19199014,0.14709315,0.11055741,0.078836165,0.050207492,0.027890095,0.016345492,0.019816685,0.040868223,0.07849366,0.123645104,0.15999675,0.17328113,0.16185324,0.1372257,0.11377912,0.09783363,0.086359166,0.07397955,0.060018305,0.049108516,0.045577437,0.04842521,0.05152038,0.05098516,0.050992638,0.06322517,0.09451756,0.13907878,0.17952488,0.20369256,0.21185,0.2132089,0.2105065,0.1979642,0.16933042,0.1303807,0.0983873,0.09195015,0.1166339,0.16075148,0.20153971,0.22122253,0.21543466,0.1941819,0.17064728,0.15533061,0.15072678,0.15446614,0.16021083,0.16217928,0.15622711,0.14105688,0.11738066,0.08822992,0.058664005,0.034261234,0.018370152,0.011947568,0.015364371,0.031666543,0.06376738,0.11067456,0.16151975,0.20020194,0.21178363,0.19346647,0.15515158,0.11617989,0.09583355,0.10536879,0.14197113,0.18779218,0.21836369,0.21579315,0.1796695,0.1257036,0.07606793,0.04792891,0.048892945,0.07343356,0.10759944,0.1321037,0.13715394,0.123797715,0.10519148,0.09156469,0.086381674,0.083963186,0.07781458,0.06517599,0.04845074,0.032414902,0.020573514,0.014471236,0.015872458,0.029040454,0.06025371,0.1092842,0.16520181,0.20753686,0.2226217,0.21207029,0.19223092,0.17792778,0.17235094,0.16708343,0.15280676,0.12778541,0.09860007,0.0737028,0.057424843,0.049308375,0.048863724,0.060013283,0.086921275,0.12620325,0.16091643,0.1714765,0.14921317,0.105502546,0.061362054,0.035124052,0.0342555,0.056528773,0.091280125,0.12131112,0.13052459,0.11354654,0.08003737,0.046644732,0.028576402,0.03476619,0.06956572,0.12583517,0.1841368,0.2165153,0.20893727,0.16799106,0.11685959,0.07383919,0.04575314,0.029508991,0.021743216,0.022006577,0.033086505,0.056959543,0.092735924,0.13533914,0.1805902,0.2246238,0.26414594,0.28974092,0.29205835,0.26553336,0.21862924,0.1677469,0.12981874,0.11081284,0.10753543,0.116365254,0.13789082,0.17296624,0.21300562,0.24250501,0.24824272,0.22941943,0.1953991,0.1589063,0.12972796,0.114741124,0.11534667,0.12674575,0.13768995,0.1398651,0.13208044,0.12018096,0.10942299,0.10210038,0.098623246,0.09790748,0.09699035,0.09073494,0.07677218,0.05737887,0.03864461,0.02536573,0.018729048,0.01670654,0.017065825,0.01995375,0.029046917,0.050460607,0.09105828,0.15621524,0.24602234,0.34716594,0.43223622,0.4704189,0.4530023,0.3998724,0.34674358,0.31289968,0.29289985,0.2672958,0.2253861,0.17167127,0.11806809,0.074618,0.04572186,0.034601588,0.043319453,0.07075245,0.10749801,0.14018811,0.15917684,0.16827749,0.17786382,0.1978007,0.22542672,0.25205263,0.26459965,0.25703874,0.23199697,0.2031321,0.18295012,0.17401265,0.16749434,0.15692057,0.14370911,0.13586582,0.13527912,0.13889037,0.14158142,0.14677398,0.1617502,0.19095318,0.22547908,0.24898756,0.2491199,0.22749524,0.1952693,0.16331701,0.1366704,0.11682876,0.10606126,0.1062795,0.115670584,0.12657903,0.13082676,0.12572674,0.1164624,0.11052383,0.11047574,0.11177846,0.10736844,0.09464759,0.07759779,0.063751735,0.059065122,0.06612567,0.084600925,0.11198637,0.14329529,0.17058492,0.18652652,0.18581682,0.1689604,0.13887246,0.10279962,0.06830651,0.044864446,0.038792834,0.05319902,0.082692735,0.117000856,0.14273594,0.15543918,0.15760593,0.15874638,0.16157122,0.16421996,0.16022684,0.1482162,0.13076772,0.11206632,0.09499795,0.08350543,0.087979116,0.12470549,0.20311777,0.3154403,0.42873812,0.5082225,0.5281317,0.4927353,0.4173381,0.32836756,0.24423175,0.18269365,0.1490482,0.1414708,0.14923912,0.16516317,0.18754946,0.21557312,0.24210115,0.25332925,0.24371551,0.21962203,0.1955539,0.17695759,0.15883355,0.13325652,0.09995305,0.06628442,0.0398908,0.025660941,0.026235884,0.045348305,0.08137906,0.12524013,0.1599081,0.17595573,0.17410399,0.16587402,0.15846668,0.15412726,0.14741217,0.13441516,0.1150642,0.09814269,0.091578744,0.09570419,0.09833205,0.08922315,0.067127936,0.042269945,0.023229277,0.013122729,0.00931245,0.0101704635,0.018504603,0.0413708,0.08550308,0.14621909,0.20444053,0.23292734,0.21796198,0.1688327,0.11354962,0.07828721,0.07498458,0.10041634,0.141675,0.1823893,0.20503484,0.19959964,0.16730809,0.121946365,0.078917615,0.04816285,0.031860992,0.03146803,0.052668165,0.10203499,0.17906375,0.2686365,0.34684065,0.39059445,0.38864067,0.34311986,0.26743165,0.18264775,0.11090847,0.069477,0.06456018,0.09291985,0.14506537,0.20620711,0.25821388,0.2838048,0.28029966,0.2592959,0.23951413,0.22866435,0.22573684,0.22395317,0.2206064,0.21027339,0.19269031,0.17142195,0.16229671,0.17466797,0.2080636,0.24287498,0.26310256,0.26115644,0.24764955,0.23220687,0.22180408,0.21296985,0.20270167,0.18795906,0.17160285,0.16139895,0.16729726,0.19343151,0.2292778,0.2545677,0.25163677,0.22137314,0.18179055,0.15560211,0.15195592,0.1637087,0.1731716,0.16942024,0.15186048,0.13215719,0.12152511,0.12653027,0.14358525,0.1630717,0.17448223,0.17132366,0.15351115,0.12482769,0.09160935,0.061400156,0.04211709,0.040008236,0.05525436,0.08260426,0.1141564,0.14575715,0.17539191,0.19937398,0.2111821,0.20736289,0.19332193,0.17805551,0.16743286,0.15926321,0.14997631,0.13887101,0.13085638,0.13444705,0.15538655,0.19168295,0.22787292,0.24757387,0.24346703,0.22548622,0.20485727,0.18403304,0.15544464,0.11743418,0.08137357,0.06776842,0.09186119,0.1536525,0.23469977,0.30631793,0.34341303,0.3377849,0.3006139,0.25315252,0.21207249,0.1815743,0.15779985,0.1411428,0.13999219,0.16218609,0.2018745,0.2402214,0.258704,0.2515867,0.22589628,0.19122326,0.15345685,0.11458195,0.077821694,0.048050895,0.0304994,0.029077834,0.04694763,0.08710748,0.14609821,0.21062267,0.25626785,0.26290068,0.22584338,0.1635546,0.10527704,0.07711605,0.08733812,0.122983605,0.15688191,0.16420151,0.13993393,0.10221892,0.07998535,0.0932824,0.13777149,0.1892391,0.21738093,0.21262912,0.18634808,0.16214524,0.14893414,0.14239651,0.13140723,0.114362866,0.09594134,0.08226907,0.0739313,0.06761127,0.05945766,0.048266847,0.035448734,0.025646603,0.028248424,0.060181145,0.13716574,0.26011777,0.40168223,0.51763743,0.57262206,0.56288004,0.5121783,0.447611,0.3841797,0.32703623,0.28456566,0.26807967,0.28017926,0.3080739,0.32903454,0.32815233,0.30639789,0.27982378,0.26241627,0.25702354,0.25336692,0.2463333,0.23967598,0.24515526,0.26185763,0.27859008,0.27837443,0.2581105,0.2251605,0.19406503,0.17113602,0.15793735,0.15006872,0.14681983,0.14699419,0.15216182,0.16171153,0.17361464,0.18205339,0.18109763,0.17040886,0.15678348,0.14877193,0.14804862,0.14791085,0.14051136,0.12373107,0.10325975,0.08740354,0.084087916,0.099642694,0.1378225,0.19628716,0.26098117,0.31063208,0.32732126,0.3112477,0.28025487,0.2592717,0.2656783,0.30173185,0.35562667,0.4066349,0.4369769,0.43915594,0.4168369,0.37664732,0.3241153,0.26693365,0.2168053,0.1851141,0.17239678,0.1687209,0.16023473,0.1406925,0.112061195,0.081243835,0.053829234,0.032913044,0.019143006,0.01171001,0.008782617,0.008356671,0.008906371,0.009637718,0.010181177,0.010541901,0.012539144,0.020066658,0.03876106,0.06843981,0.10224845,0.1274036,0.13957153,0.14315419,0.14779419,0.15489875,0.15916292,0.15491118,0.14143246,0.121152274,0.096008055,0.06883978,0.043935034,0.025502294,0.014753312,0.009854528,0.008212461,0.0080098435,0.008521049,0.010514181,0.016878275,0.03387882,0.0681749,0.12439901,0.19776662,0.27618918,0.3405347,0.37802598,0.38395333,0.36680433,0.33742034,0.30719104,0.2827557,0.2689468,0.26640594,0.27011022,0.27027193,0.2577448,0.23217899,0.20227309,0.17909478,0.16574888,0.15694967,0.14635532,0.13462259,0.12690978,0.1269993,0.13301887,0.14148025,0.14955537,0.15814781,0.16891652,0.18417843,0.20133805,0.21434064,0.21560836,0.20340653,0.18269427,0.15973194,0.13843536,0.11878141,0.10424238,0.10032932,0.11334244,0.14091055,0.17157698,0.1878739,0.18074547,0.15833504,0.14748992,0.17267425,0.241376,0.33188137,0.41397694,0.45936903,0.46134186,0.42650774,0.37638602,0.3312275,0.30494142,0.29317048,0.2832798,0.26324335,0.23514096,0.2058673,0.18014489,0.15350533,0.122010976,0.087027274,0.05565439,0.034801025,0.029822314,0.046299327,0.08725054,0.14669953,0.2068476,0.24945937,0.26989725,0.27744934,0.2827675,0.28638688,0.28544995,0.28107595,0.279438,0.28318822,0.28727314,0.28406182,0.2671568,0.23867576,0.20691526,0.18680303,0.18807171,0.20872138,0.2335972,0.2462483,0.24468146,0.23728909,0.23397213,0.2287771,0.21504216,0.1931808,0.18117553,0.19100656,0.21789904,0.2364921,0.22532167,0.18231392,0.12771487,0.08618444,0.07218567,0.085142486,0.11763222,0.16124265,0.2085114,0.25090966,0.27899277,0.28918657,0.28275013,0.26870254,0.25211772,0.23743571,0.22251858,0.20896149,0.19934589,0.19957906,0.2093103,0.22341543,0.23389025,0.23956044,0.24293244,0.24761713,0.25105608,0.24864745,0.23598824,0.21262248,0.18329859,0.15986897,0.16295038,0.20936589,0.2959517,0.38726974,0.43591014,0.41671744,0.3505623,0.29066238,0.28151464,0.32970917,0.39942768,0.44382867,0.43226203,0.36998868,0.28674856,0.21863241,0.18401527,0.17754884,0.17631035,0.16082422,0.12644711,0.085781455,0.05574559,0.050845105,0.07547731,0.12556563,0.18918079,0.25817347,0.32975852,0.4015434,0.45636225,0.4705324,0.43442217,0.36827555,0.3057475,0.26652712,0.24877863,0.23989278,0.23223098,0.2201721,0.20157778,0.17683508,0.1524762,0.13510457,0.12724864,0.12715271,0.1299419,0.12942316,0.12026429,0.10263676,0.08331268,0.07087561,0.069582134,0.07712105,0.087713666,0.0960769,0.101252675,0.10570416,0.1132909,0.12241534,0.12683208,0.11974024,0.1029752,0.08562929,0.076308064,0.07499846,0.07473716,0.07046326,0.06463875,0.066732734,0.08541852,0.12154596,0.16501005,0.19893926,0.20916991,0.1908824,0.15125439,0.104055695,0.063445866,0.037051972,0.024588302,0.020723969,0.020307275,0.021653848,0.026497742,0.036971092,0.053349584,0.072705984,0.09188151,0.108856894,0.12276461,0.13078481,0.12802444,0.1117245,0.08490933,0.05598863,0.03272559,0.018379705,0.011398141,0.008649263,0.0076237363,0.0077515803,0.010585271,0.019786315,0.037920285,0.06417913,0.093083896,0.11881715,0.13679807,0.14485075,0.14198811,0.13204686,0.12306666,0.12260219,0.12868114,0.13183802,0.12416214,0.10893655,0.09648136,0.093659066,0.09753239,0.099870205,0.09675724,0.09021619,0.084112115,0.077434935,0.06707218,0.051715627,0.03502679,0.021441398,0.013220701,0.009483797,0.008505476,0.008949884,0.010129592,0.011679034,0.013350709,0.014859485,0.015811889,0.015860535,0.0150824925,0.015797064,0.023858747,0.048178315,0.09160469,0.14369665,0.18045594,0.18463285,0.16168341,0.14270751,0.1564308,0.20735627,0.2667169,0.3002307,0.29043975,0.25226942,0.21135287,0.18649359,0.17486656,0.16730936,0.1572303,0.14719772,0.13843966,0.12940048,0.11604486,0.097715534,0.07651428,0.057134066,0.04503179,0.04740404,0.068338655,0.10882757,0.1618272,0.22040813,0.27626982,0.3248155,0.35813203,0.3692236,0.3586073,0.33870926,0.32658044,0.3245217,0.31913236,0.29395947,0.24967314,0.20182152,0.16706787,0.15249683,0.15634133,0.17337935,0.19532986,0.21317518,0.21776098,0.20478487,0.17709339,0.14985727,0.14303334,0.16867077,0.21574347,0.257987,0.27042118,0.24840753,0.20422457,0.15768118,0.12074172,0.09717996,0.08363142,0.079511695,0.08397776,0.095733725,0.10584397,0.10721278,0.09832233,0.08990544,0.0935857,0.11527413,0.14825328,0.18065248,0.20418519,0.21947752,0.23208354,0.24248894,0.24645905,0.24192022,0.23709236,0.24432814,0.2700119,0.30932024,0.35031775,0.37587342,0.3698902,0.32316443,0.2468311,0.16667908,0.11360686,0.10607004,0.14725941,0.2225414,0.30440003,0.36276886,0.3814181,0.36535004,0.33180973,0.29598466,0.2646341,0.23936774,0.21900015,0.20019941,0.18071564,0.16475816,0.16238846,0.18098962,0.21519725,0.25182447,0.27661106,0.28802502,0.287469,0.28169036,0.2719399,0.26368323,0.25647464,0.24757235,0.22944082,0.20111917,0.16983159,0.14944784,0.15217888,0.18286282,0.23500864,0.2922037,0.33414683,0.34465563,0.31910768,0.26793188,0.21618624,0.19266964,0.2118897,0.25990736,0.3019073,0.30752775,0.27548185,0.22875355,0.19337521,0.17466031,0.16296929,0.14699875,0.12719695,0.10901033,0.09491732,0.08221223,0.068790376,0.058618262,0.06087939,0.08624768,0.13938437,0.20978098,0.27171382,0.29612207,0.27389747,0.21968146,0.16088055,0.114002876,0.082068995,0.06185102,0.055249017,0.06690059,0.09519171,0.1284552,0.15080535,0.15521075,0.15001231,0.15291451,0.18095273,0.23754032,0.31369254,0.38603702,0.43079618,0.43114248,0.39172134,0.33296502,0.2784677,0.23847693,0.20962869,0.18659991,0.17169039,0.16926634,0.17785704,0.18456535,0.17931534,0.16210681,0.15062107,0.16149451,0.19738631,0.23612542,0.25111184,0.22865695,0.18018235,0.12565048,0.0815691,0.051556367,0.03471433,0.028930105,0.035418656,0.05440849,0.08643651,0.13073505,0.1887029,0.25467035,0.3135055,0.340997,0.32461902,0.27401254,0.21843274,0.18710606,0.1905623,0.21885876,0.24723001,0.25948846,0.25316313,0.24235345,0.23481251,0.23035628,0.22089376,0.20712094,0.19490092,0.18934064,0.18723674,0.18337713,0.17881246,0.17897044,0.18541437,0.19149816,0.19363879,0.20075907,0.22854488,0.27903417,0.32981905,0.3490325,0.32161692,0.26370293,0.20775019,0.17836483,0.17594881,0.18371968,0.18262629,0.1646582,0.13286522,0.09641906,0.06319791,0.03784284,0.021158783,0.0120868115,0.008265265,0.0073672845,0.0075335577,0.0078587895,0.008146626,0.008909691,0.01136531,0.017377196,0.028740264,0.04587852,0.06704313,0.0883762,0.106539436,0.12000833,0.12974,0.13671744,0.14091556,0.1418321,0.13926023,0.13485257,0.13141596,0.13328935,0.14561939,0.17181657,0.21148749,0.25549564,0.28812227,0.29228833,0.26062033,0.20131974,0.1332088,0.0763183,0.041051503,0.029006086,0.033924997,0.04953633,0.070506774,0.097998075,0.1335548,0.179998,0.2330363,0.28404072,0.31782022,0.32440174,0.30818108,0.2866315,0.2775865,0.2854741,0.30685958,0.3348631,0.35954568,0.36695632,0.3483487,0.31156218,0.27256298,0.24039938,0.21248503,0.18837284,0.1797391,0.20013945,0.24805893,0.30245605,0.33862138,0.34599695,0.32980677,0.3010397,0.26524755,0.22730894,0.19482993,0.17779772,0.17591989,0.17771281,0.17093301,0.15994781,0.16509013,0.20537142,0.27594134,0.35132074,0.4044746,0.4322653,0.44455096,0.45030692,0.44090185,0.41328654,0.37541902,0.3468455,0.33214727,0.32241616,0.3044702,0.27830696,0.2532993,0.24152537,0.24939208,0.27770558,0.319927,0.36558804,0.40402794,0.42706808,0.42761278,0.3998022,0.3466588,0.28482836,0.2359764,0.21234792,0.21229534,0.23616143,0.29046237,0.37478796,0.4586288,0.4947262,0.45617983,0.365953,0.27728286,0.23270814,0.23286374,0.25056276,0.2560218,0.246421,0.23917927,0.25527215,0.29140818,0.32025456,0.3138108,0.27059183,0.22034635,0.19441791,0.20104665,0.22084717,0.23461168,0.23899703,0.24518351,0.25778097,0.2697098,0.2679956,0.24654816,0.20931102,0.16700721,0.13046362,0.10750735,0.105680846,0.13721776,0.20910186,0.30852464,0.39450645,0.4242961,0.3838143,0.30322507,0.23321868,0.21070278,0.23870869,0.29091406,0.33382022,0.3444616,0.3222561,0.28643975,0.26337618,0.26769936,0.28931117,0.30398688,0.2925135,0.26006442,0.2264751,0.21272635,0.22063862,0.23842148,0.24526472,0.2297139,0.19037515,0.14005214,0.09443828,0.068591364,0.067494504,0.08968344,0.12851839,0.18016692,0.23946707,0.30062342,0.35391816,0.39335084,0.41493893,0.41644987,0.39199364,0.33846176,0.26080757,0.17589177,0.10290438,0.054205213,0.029363945,0.02204932,0.027881518,0.04964319,0.090547234,0.1467522,0.20271863,0.24025905,0.24704589,0.2239154,0.17977661,0.12787524,0.079526484,0.042873967,0.020243652,0.009380915,0.005596436,0.0048879012,0.005057653,0.0062864795,0.013274114,0.03702726,0.0910544,0.17670822,0.2716161,0.3340038,0.33240685,0.26967135,0.18480699,0.122632116,0.10894444,0.14133711,0.20384753,0.27665475,0.3432629,0.38731015,0.39758673,0.36912346,0.3110551,0.24390483,0.20014608,0.20677201,0.2742937,0.3795555,0.48232064,0.5402866,0.5398672,0.48987105,0.4193268,0.35225853,0.30753282,0.2867135,0.2812532,0.2710832,0.24020137,0.18548332,0.12079093,0.06577069,0.03161296,0.01695679,0.0140663935,0.020963095,0.04451722,0.09495268,0.16850547,0.24446936,0.29417658,0.30926946,0.30400166,0.30236176,0.3146274,0.33557776,0.3578565,0.37410817,0.37962413,0.364993,0.32948062,0.28183046,0.23816411,0.20894909,0.19154686,0.17880158,0.16624568,0.16151015,0.17375581,0.20556712,0.24226008,0.2611687,0.246055,0.20280814,0.15465847,0.12588188,0.12612195,0.1490622,0.18387079,0.21960957,0.24839687,0.25970915,0.2489618,0.2189138,0.18200944,0.15041423,0.1313256,0.12550144,0.12861246,0.13234918,0.12709738,0.107998826,0.08019442,0.05613075,0.04824202,0.05857184,0.07864103,0.09371748,0.095690586,0.08504813,0.06976129,0.05558378,0.04625385,0.044695854,0.055646524,0.080232404,0.1130588,0.14343713,0.16481273,0.17662013,0.18362428,0.18786998,0.1897104,0.18783633,0.18265003,0.17491066,0.1659883,0.15769565,0.15264396,0.15152383,0.1518553,0.14674391,0.13112202,0.104194544,0.07250258,0.04348244,0.022761738,0.010649561,0.005053977,0.0029163435,0.0022808101,0.0021295038,0.0023527602,0.004917341,0.015426773,0.04377462,0.09750543,0.17403352,0.2549958,0.3152565,0.33542362,0.31440195,0.26739687,0.21944208,0.19088481,0.18985586,0.20607169,0.22051126,0.21523827,0.18719351,0.14756307,0.115989126,0.10678419,0.12087045,0.14694159,0.17149729,0.18804306,0.19701369,0.19998193,0.19749834,0.19011284,0.18028961,0.16851111,0.1547214,0.14085694,0.1336224,0.13719182,0.14651968,0.14873357,0.13400255,0.103824474,0.069786064,0.046950236,0.047542036,0.076851614,0.12740788,0.18214184,0.22295487,0.24582839,0.2568736,0.26412085,0.2662709,0.25987753,0.24472916,0.22778255,0.2180809,0.22257681,0.24138598,0.26550928,0.2824843,0.28422296,0.27364215,0.25765404,0.24153805,0.22492225,0.20765369,0.19165832,0.18009514,0.17380999,0.1697957,0.16306339,0.14864615,0.124898665,0.09450207,0.06373686,0.038929563,0.023187451,0.015683707,0.013513964,0.014678734,0.019804448,0.032597188,0.05703163,0.09406189,0.13753355,0.17700486,0.20291072,0.21292643,0.21152799,0.20476405,0.19765192,0.19247049,0.19247335,0.20122969,0.22334252,0.26117873,0.3086846,0.35139462,0.37357,0.37453178,0.3686391,0.37131062,0.38152194,0.38368544,0.36308238,0.3179272,0.2578039,0.1965993,0.14685173,0.118385196,0.11592426,0.13679732,0.17179275,0.20886791,0.24143095,0.27028236,0.30127048,0.3355616,0.36551237,0.37842265,0.3646486,0.3243628,0.26690537,0.20882374,0.16677886,0.15047489,0.15860628,0.181705,0.2101643,0.2357602,0.25277653,0.25647303,0.2466233,0.22747724,0.20472568,0.1847161,0.17052251,0.1640572,0.16014594,0.1525573,0.13651486,0.11767431,0.10687015,0.11166426,0.12745266,0.14100714,0.14135663,0.12706058,0.10419623,0.080854066,0.06424212,0.06173965,0.07651758,0.104676805,0.13272992,0.14717941,0.14042433,0.11753169,0.090627514,0.074604444,0.07787165,0.10146987,0.13892841,0.18216713,0.22258513,0.2536082,0.26963258,0.26804772,0.24852993,0.21542294,0.17846203,0.15136933,0.14307898,0.15006594,0.15807092,0.15510704,0.14099227,0.12585361,0.118743,0.122104526,0.13149242,0.14110501,0.14625989,0.14597784,0.14191182,0.1353419,0.12476158,0.10723489,0.08298279,0.056491956,0.033932205,0.018700948,0.010899331,0.009488222,0.014865767,0.029171804,0.05352068,0.08690739,0.124249995,0.15979767,0.1865203,0.20019509,0.19814922,0.18309957,0.16081232,0.13863282,0.11973103,0.10302836,0.08669177,0.07307931,0.06805729,0.076135226,0.0965912,0.123193584,0.14677583,0.15749855,0.14965798,0.12614264,0.10139382,0.096221276,0.12514663,0.18528199,0.25346553,0.30348316,0.32297596,0.32317054,0.3205277,0.32072815,0.3119031,0.2838431,0.2386704,0.19337928,0.1650783,0.16402207,0.18794428,0.22385482,0.25293043,0.26033378,0.24323988,0.21097939,0.17665213,0.15026003,0.13329113,0.12282508,0.11371622,0.10416759,0.09498906,0.08958558,0.09150496,0.10262192,0.121301495,0.14162633,0.15648691,0.16149776,0.15687738,0.14633843,0.13315181,0.121433884,0.1129803,0.109805025,0.10920861,0.10919393,0.10652402,0.1005007,0.08954241,0.07358586,0.05447878,0.03663243,0.024499422,0.02051621,0.026789345,0.047090296,0.08639109,0.14167105,0.1992923,0.23676193,0.24195983,0.21643181,0.17722897,0.1383849,0.11099226,0.09903168,0.10580643,0.12748784,0.15458535,0.17490773,0.18308987,0.18072383,0.17272802,0.1612531,0.14772409,0.13408387,0.12251491,0.1120007,0.098522924,0.0801234,0.05983898,0.04525196,0.041657716,0.050225418,0.06773457,0.09248597,0.12267941,0.15606216,0.18494098,0.20126827,0.19926105,0.18133493,0.15527187,0.130887,0.11349254,0.101469524,0.08904159,0.07185114,0.051471252,0.03283677,0.02022517,0.013808463,0.011393999,0.010598097,0.011703198,0.017553268,0.032942805,0.05889055,0.091969274,0.1255473,0.15917993,0.19567533,0.23415609,0.26225176,0.2663001,0.24601144,0.21543764,0.18970108,0.17049669,0.15197189,0.13110492,0.113525786,0.10617826,0.10980628,0.11952791,0.12740344,0.12863319,0.1216043,0.11012349,0.09885517,0.0905183,0.083546184,0.075183906,0.06479774,0.0540674,0.044827063,0.037352633,0.031223321,0.026195804,0.02234103,0.020053692,0.020870917,0.028169578,0.044186424,0.06707532,0.08848753,0.099046685,0.09314712,0.07392519,0.049803313,0.030930124,0.023980051,0.03180709,0.051628094,0.07775929,0.10106394,0.11730852,0.12761028,0.14225549,0.16704303,0.19755687,0.21671526,0.21142405,0.18493132,0.1540723,0.13466258,0.12722108,0.12349876,0.11409414,0.09847695,0.07936285,0.06226671,0.05198593,0.053288948,0.066927336,0.08692292,0.10368746,0.11008551,0.1080525,0.10548844,0.10971082,0.11993454,0.12877792,0.12748969,0.11305887,0.08859802,0.06142762,0.037926998,0.02178736,0.012990378,0.009501559,0.008653455,0.008483862,0.008150603,0.0075316518,0.006982935,0.0068912134,0.008990577,0.01843514,0.04464155,0.095689,0.16639085,0.23461162,0.27100483,0.262179,0.21784186,0.16391708,0.123145424,0.108136214,0.118388295,0.14369164,0.16808318,0.18113516,0.18212736,0.1770963,0.16862352,0.15738557,0.14540742,0.13744539,0.13397968,0.12977596,0.11969157,0.10394078,0.088338226,0.077929296,0.07514451,0.07706895,0.07958568,0.078523256,0.07460123,0.07040449,0.068646215,0.06856462,0.06807717,0.0653393,0.059934348,0.052864317,0.046904624,0.04776897,0.061507385,0.09006685,0.12560783,0.1541425,0.16380036,0.15479696,0.13640213,0.11896044,0.10486729,0.091195576,0.07430411,0.05489004,0.036177296,0.022579322,0.017483616,0.023461303,0.040024806,0.06336942,0.0855067,0.10003472,0.10409183,0.10174799,0.0971084,0.0935812,0.09184242,0.09650406,0.11343005,0.14371282,0.17601578,0.19191216,0.18053298,0.14786284,0.11281439,0.091746144,0.08888034,0.09580662,0.10138804,0.099242985,0.09027052,0.07773379,0.06388045,0.049092967,0.035881292,0.029515812,0.03922307,0.07059736,0.123099975,0.1811359,0.22567634,0.24084918,0.23193775,0.21372293,0.20307745,0.20235355,0.2095436,0.22024436,0.2336595,0.2447538,0.24995148,0.24920993,0.24577217,0.23933186,0.22457707,0.20243448,0.18133222,0.17194311,0.17375813,0.17850278,0.18271895,0.1918758,0.21470694,0.2458791,0.27155027,0.27775136,0.26821208,0.25665244,0.25528273,0.26225707,0.2672038,0.26246563,0.24788927,0.22959244,0.21540006,0.21399711,0.2286555,0.25345835,0.2740578,0.28048566,0.27387774,0.26494297,0.25969067,0.25359103,0.2349173,0.19756968,0.14884444,0.106734954,0.09099403,0.10985538,0.1559555,0.20736273,0.2423326,0.24926108,0.2327065,0.20600332,0.18309379,0.17131846,0.16941686,0.17109895,0.17011769,0.16645508,0.16358207,0.1658249,0.17091453,0.17530781,0.17469478,0.1706505,0.16306587,0.15037163,0.1284528,0.0982613,0.06618253,0.040063687,0.023589445,0.015496645,0.012656145,0.013489346,0.019674255,0.036874726,0.070593104,0.1198441,0.17220713,0.21083117,0.2269721,0.22715326,0.22481953,0.22810118,0.23431313,0.23738815,0.23232208,0.22028036,0.20371024,0.18907559,0.1792142,0.17514563,0.17142195,0.16332096,0.14727016,0.12451326,0.09825138,0.07263528,0.05171628,0.040417735,0.04652139,0.07623648,0.12853491,0.18831204,0.23674087,0.26311922,0.2729186,0.27398515,0.26547155,0.24015372,0.19991362,0.15980454,0.13637748,0.13214886,0.13651711,0.1354924,0.12505262,0.110963404,0.10291988,0.10450256,0.110229276,0.1109634,0.10103526,0.084100686,0.07052928,0.07304794,0.096455894,0.13311712,0.1629615,0.16934316,0.15115635,0.12867905,0.12653661,0.15638308,0.20617206,0.25168705,0.2756901,0.2794083,0.27726606,0.2792345,0.2827785,0.27511564,0.24728878,0.19942148,0.14212984,0.088469245,0.050789315,0.03682901,0.05090566,0.091005914,0.14645775,0.19817077,0.2267857,0.22400652,0.19687337,0.1640896,0.14480563,0.15107171,0.17963827,0.21555345,0.23730314,0.23391408,0.20798115,0.17578137,0.1501481,0.13620299,0.12907957,0.126034,0.12723486,0.13601224,0.15025161,0.16464166,0.1726405,0.17302193,0.16742904,0.15761513,0.14198555,0.11926534,0.09299899,0.073564954,0.071953565,0.093012094,0.13184363,0.17927974,0.22548388,0.2635847,0.28763437,0.29745498,0.29566666,0.2895098,0.2815628,0.27605864,0.27133393,0.26616105,0.25055638,0.21967049,0.17309183,0.12346849,0.08474868,0.069027,0.07742456,0.102257706,0.12931414,0.14745153,0.1536398,0.1547482,0.15871659,0.16614342,0.16647638,0.14849454,0.11255208,0.07362726,0.05013606,0.050226957,0.069498695,0.0985116,0.1313288,0.1649932,0.19303812,0.20448892,0.19142278,0.16020511,0.13035424,0.12178421,0.14029737,0.17526953,0.2087323,0.22587268,0.21927239,0.19065614,0.14977169,0.113143235,0.09296706,0.09213177,0.102532275,0.11759794,0.13384704,0.15076447,0.16380571,0.16932265,0.16780359,0.16417326,0.16327357,0.16664,0.17527205,0.1888666,0.20717962,0.22676887,0.2430465,0.25140938,0.2507064,0.24500667,0.23818849,0.23196016,0.22203249,0.20734614,0.18911289,0.17203747,0.15583129,0.13759743,0.11368772,0.08514484,0.05651005,0.03353122,0.019153537,0.01321948,0.015087563,0.02852191,0.062279116,0.12437302,0.21071906,0.30075535,0.36415327,0.38159028,0.35646605,0.3139784,0.27891436,0.2633214,0.2606238,0.26048794,0.25448903,0.24452311,0.23482873,0.22934483,0.22506951,0.21753778,0.20451748,0.18697101,0.1653901,0.138499,0.11060751,0.09212873,0.09652346,0.12297364,0.15632595,0.17080384,0.15464085,0.113626696,0.069763504,0.039744858,0.029715434,0.036201198,0.056840867,0.09198511,0.13871907,0.18756253,0.22579014,0.24743263,0.2532862,0.24631989,0.22730832,0.19892322,0.16908264,0.14839207,0.14456119,0.15879776,0.18617791,0.21746093,0.24499953,0.26604626,0.2829326,0.29404724,0.29400834,0.27646288,0.24615361,0.21292643,0.18790466,0.17173202,0.16248174,0.1565706,0.15607615,0.16058658,0.16791439,0.17069197,0.16550688,0.1522545,0.13640262,0.12211781,0.11369089,0.112072445,0.11490179,0.114107214,0.10223564,0.07854689,0.052913595,0.039314393,0.049823288,0.087306075,0.14802669,0.21993308,0.29075167,0.3465066,0.3800161,0.38628554,0.36552897,0.31943604,0.25740454,0.19835855,0.1647905,0.16771816,0.1963232,0.2254184,0.23413014,0.21737623,0.18426895,0.14725149,0.11675986,0.0981131,0.09303436,0.10133681,0.12320139,0.1574717,0.19579256,0.2240838,0.22935657,0.21325417,0.18930446,0.17622085,0.18037462,0.19832514,0.22001056,0.24283266,0.26559326,0.28635868,0.29750964,0.2959402,0.28641835,0.2798876,0.2844957,0.29904285,0.3122503,0.3080186,0.27575096,0.2187654,0.15323107,0.098928265,0.06854797,0.06391562,0.08007341,0.109573565,0.14552544,0.17997015,0.20631194,0.22259927,0.23305725,0.24314852,0.2544969,0.26631895,0.2800543,0.29915297,0.32134566,0.33925867,0.34539568,0.34248158,0.33480296,0.32362238,0.30431092,0.2775022,0.2500433,0.22842528,0.21227415,0.19790782,0.18393946,0.17210776,0.16036549,0.14486724,0.122745335,0.09915516,0.082530715,0.07877468,0.08665045,0.10046358,0.118122794,0.14101893,0.1694871,0.19417529,0.20251854,0.18945266,0.16558816,0.14631043,0.13805978,0.13218552,0.11693586,0.08939435,0.058378782,0.034565955,0.022285154,0.018590653,0.019974718,0.028959116,0.056348067,0.113618545,0.1990662,0.2894747,0.34902957,0.3552384,0.3136332,0.2545862,0.20674782,0.18556988,0.18888944,0.20872588,0.23061128,0.24111278,0.23240614,0.21002091,0.18375976,0.15786646,0.1283399,0.0932602,0.058118057,0.03162793,0.018568913,0.020839445,0.042759284,0.09038329,0.16427447,0.2521193,0.33363852,0.39002696,0.41435835,0.4096856,0.38517785,0.34930956,0.30938128,0.27026877,0.23417915,0.2009119,0.16971229,0.1453104,0.13627845,0.15011837,0.18183903,0.21562064,0.23318239,0.22753282,0.2046593,0.17877156,0.1618747,0.15904589,0.16603027,0.1739886,0.17437334,0.16467951,0.14811438,0.13174859,0.12131584,0.11882917,0.12199545,0.12715136,0.13186939,0.13349898,0.12975477,0.11867375,0.102668844,0.08527877,0.0691544,0.053954512,0.0405255,0.034436043,0.04516359,0.080375165,0.13644303,0.1964912,0.23783767,0.24709763,0.22733504,0.19083726,0.14915182,0.107219785,0.06955012,0.04021034,0.022933923,0.016049212,0.0167979,0.02420854,0.04307382,0.07801427,0.13061875,0.19574769,0.26645783,0.33242643,0.3810389,0.39891088,0.38279483,0.3435535,0.30116093,0.26926568,0.2510208,0.24252938,0.24389915,0.25815943,0.2836895,0.3057977,0.30219743,0.25999656,0.18869253,0.11506612,0.06646148,0.056861073,0.08712057,0.14725767,0.22010309,0.28278255,0.31697664,0.31691864,0.29401502,0.267844,0.25519958,0.2603195,0.2762245,0.29201165,0.29966712,0.2965963,0.28346387,0.26402673,0.2444432,0.23164867,0.22777534,0.225847,0.2135473,0.18480073,0.1505967,0.1348936,0.15913936,0.22297712,0.30493626,0.3729838,0.40927425,0.4117029,0.39272034,0.36106405,0.32701513,0.30273214,0.3041043,0.33477655,0.37808737,0.4060364,0.39788923,0.35305318,0.28558967,0.21312658,0.14780453,0.09528521,0.057112824,0.032556836,0.019134197,0.013150168,0.012521802,0.020366356,0.046862707,0.10353646,0.19365005,0.30418617,0.40999094,0.48645973,0.5210883,0.51653796,0.48336616,0.43359816,0.37625602,0.32025155,0.27529684,0.24808453,0.23690362,0.22931679,0.21229374,0.17904074,0.13474192,0.0892967,0.053601593,0.03354916,0.030207125,0.038927518,0.053806614,0.07204529,0.09733164,0.132347,0.17224103,0.20277674,0.21611585,0.21771933,0.22386515,0.2409669,0.26219067,0.27258444,0.26607767,0.24410443,0.21361612,0.17846732,0.14253044,0.107548535,0.07600733,0.049449846,0.029914951,0.01804026,0.012566186,0.010797302,0.010236246,0.0099167405,0.01060006,0.015267838,0.029457202,0.059501678,0.10857882,0.17076106,0.23326166,0.28230593,0.31422755,0.33160123,0.33804682,0.33045733,0.30751917,0.2746893,0.24277808,0.2165217,0.19048136,0.1570097,0.116668165,0.079444565,0.05865057,0.062285546,0.09208202,0.13621132,0.1766913,0.19415963,0.19083516,0.1814646,0.18321924,0.19020571,0.18664022,0.16369925,0.13713504,0.13395686,0.16773565,0.22542083,0.27616188,0.2963537,0.28207323,0.24457307,0.20008852,0.16232288,0.14244594,0.14237815,0.15596272,0.17443238,0.19548023,0.22088735,0.24691169,0.26068506,0.24901466,0.21079929,0.16060825,0.11977146,0.10312199,0.11048726,0.12783863,0.13850754,0.13436188,0.120413035,0.1063597,0.097843654,0.09320467,0.09039384,0.09292173,0.108722664,0.14156426,0.18232715,0.21290137,0.21822417,0.19998656,0.17166835,0.14920354,0.1391163,0.14330275,0.15849812,0.17817838,0.19041449,0.18594961,0.1672016,0.14711131,0.14158837,0.1547241,0.17950827,0.19836234,0.19789462,0.17270274,0.13323031,0.09497329,0.07133588,0.06395319,0.06855124,0.08131977,0.10085573,0.12410154,0.14133005,0.145108,0.13762178,0.13558237,0.15310703,0.18791427,0.21713294,0.2175774,0.18411016,0.13311483,0.08757702,0.064082764,0.07171855,0.11540607,0.19273467,0.28635892,0.36785772,0.41341627,0.42009494,0.40210155,0.3771385,0.3523502,0.32900122,0.30909148,0.30061352,0.30827644,0.3269565,0.34169158,0.3370653,0.3083726,0.26153892,0.21209298,0.17263979,0.15078849,0.14061351,0.13235265,0.115950674,0.09286556,0.06969798,0.054859266,0.049218956,0.048787046,0.047135476,0.042454522,0.03947815,0.049079288,0.07806491,0.12480885,0.1750812,0.21692,0.24095786,0.24923855,0.24433704,0.23632239,0.23219566,0.23509727,0.23742175,0.23250276,0.22351174,0.22316962,0.24010946,0.26950994,0.2974503,0.31494406,0.32366514,0.33166334,0.34088352,0.34469357,0.33122468,0.2936892,0.23535125,0.17065509,0.119848944,0.09762367,0.10575529,0.12989978,0.15369777,0.16638072,0.1731509,0.1810437,0.19646184,0.21116666,0.21681456,0.2041763,0.17812115,0.14602381,0.11824113,0.09666973,0.079835035,0.06378346,0.04757155,0.032873034,0.022159005,0.016502425,0.014692195,0.015013486,0.018338142,0.030367142,0.06053409,0.11271151,0.17821981,0.23664851,0.27399516,0.29529226,0.3197985,0.35794926,0.39654556,0.4112573,0.38844156,0.33843854,0.28228995,0.2364369,0.20496719,0.18466528,0.17386264,0.17333682,0.18603824,0.20698406,0.22485377,0.22715943,0.21542604,0.20322888,0.20355289,0.2141692,0.22065656,0.20993948,0.179588,0.1368894,0.09217831,0.054416656,0.028947001,0.01786943,0.021713123,0.03961687,0.06746861,0.0959458,0.11609349,0.12648474,0.13612479,0.15232001,0.17103006,0.17577058,0.15588968,0.11655878,0.07845272,0.0593704,0.06367936,0.08010447,0.093613945,0.096074216,0.09293177,0.09734091,0.1226385,0.17219286,0.23895188,0.3032129,0.34235707,0.34220088,0.31112495,0.27421835,0.2536529,0.25234553,0.25798586,0.25992575,0.2576008,0.25694516,0.2611951,0.2673333,0.26621065,0.2497998,0.21818201,0.18256755,0.15788825,0.15385516,0.17094843,0.20110601,0.23021953,0.24443156,0.2367295,0.21258174,0.18384217,0.16343208,0.1580674,0.16649878,0.18123265,0.19336057,0.2026117,0.21304917,0.22853847,0.24378932,0.253374,0.25624302,0.25561133,0.25018656,0.23327623,0.20157512,0.16112809,0.12496144,0.10233771,0.09410867,0.09580525,0.10335875,0.11574971,0.1304694,0.14495778,0.15712965,0.16991019,0.18452515,0.19808573,0.2022324,0.19217826,0.16973852,0.14422251,0.12443352,0.1149959,0.11222684,0.10869826,0.097759,0.07880959,0.056435272,0.036413025,0.022460809,0.014797854,0.011789325,0.011497629,0.014695038,0.027080022,0.057515513,0.11180276,0.18351512,0.2582973,0.3214061,0.3708485,0.403978,0.4145272,0.3892325,0.33513322,0.2779343,0.24746704,0.24634469,0.25158036,0.23789464,0.19875433,0.14745377,0.10247249,0.080814056,0.09544907,0.15018727,0.23194318,0.3082979,0.34729496,0.33636963,0.29158267,0.23996653,0.20111363,0.1812766,0.17633069,0.1809551,0.18457252,0.18195339,0.16927381,0.15141624,0.12895505,0.1034381,0.074700005,0.04799649,0.029344233,0.02405183,0.034934163,0.06106363,0.10064971,0.14968325,0.20552354,0.25962195,0.2988298,0.30704984,0.2796587,0.22810864,0.17724074,0.15038498,0.15740232,0.18848681,0.22144397,0.23622487,0.22802442,0.20633298,0.18347417,0.16521,0.15062426,0.13886012,0.13047306,0.12852532,0.13460612,0.15123497,0.17679904,0.2065673,0.23095918,0.24286373,0.24121563,0.2309038,0.21767722,0.20170206,0.17951822,0.14894302,0.11715424,0.09910817,0.1067904,0.13640358,0.16613197,0.17205153,0.14608757,0.10143434,0.059173446,0.033703048,0.02877023,0.04342748,0.07350319,0.11204835,0.14886643,0.18227775,0.21677248,0.26023933,0.30624565,0.34309557,0.358507,0.3554956,0.34108448,0.32247436,0.29752305,0.26370886,0.22224975,0.18318069,0.15743165,0.14879976,0.14971256,0.14886773,0.14128466,0.1303188,0.120606445,0.111377716,0.099378794,0.08770982,0.08912959,0.11904466,0.18007676,0.2548277,0.31099236,0.32247588,0.28604063,0.22643995,0.18133807,0.1778565,0.2164497,0.27099428,0.3112384,0.31885603,0.29692852,0.25731033,0.21664184,0.18780066,0.17840628,0.1824615,0.18395013,0.16809468,0.1331596,0.090415426,0.053017598,0.029581783,0.02421122,0.042053673,0.08516563,0.14814675,0.2148958,0.26939246,0.3026065,0.31626496,0.31714448,0.31299874,0.3080572,0.29974538,0.28279024,0.25682247,0.22965641,0.20821746,0.18881357,0.16225554,0.1256044,0.089567356,0.06719259,0.062546246,0.06624469,0.065644346,0.0549114,0.038095776,0.024152936,0.020231113,0.029809961,0.05173433,0.08323076,0.12045634,0.16230577,0.20536278,0.24333523,0.26656008,0.2721583,0.26712584,0.263729,0.26986325,0.2820816,0.290351,0.2845602,0.26344553,0.23509775,0.21221827,0.20605294,0.22050995,0.2500877,0.28043988,0.29513586,0.28790534,0.26554453,0.24378763,0.23353356,0.23671041,0.24834915,0.26034853,0.2656103,0.25584266,0.23070359,0.19637157,0.16757046,0.1515633,0.1459838,0.13961561,0.12835874,0.11856795,0.124970056,0.15662132,0.21355684,0.28225735,0.34417626,0.3777006,0.37310717,0.33580902,0.28667015,0.24319719,0.20908333,0.17601345,0.13835002,0.10106957,0.0758538,0.07407799,0.09902134,0.1429135,0.1855026,0.20665963,0.19920902,0.17619692,0.15890327,0.1602425,0.17573303,0.19049697,0.19621436,0.19978665,0.21646972,0.25073275,0.28828108,0.30566964,0.2910081,0.25052088,0.20057017,0.15237798,0.109670006,0.073033154,0.047082704,0.03882404,0.055251103,0.096065365,0.15359351,0.21017265,0.24741133,0.250298,0.21937059,0.16979252,0.12749995,0.11080873,0.12395378,0.15916735,0.21109116,0.27320272,0.33182147,0.36332157,0.35590097,0.32300594,0.29670158,0.30004755,0.33094013,0.36817682,0.38769436,0.3749,0.32667264,0.252514,0.17011465,0.09886547,0.049965892,0.025105866,0.020372117,0.0336073,0.062303375,0.101626605,0.14217517,0.18044885,0.22045235,0.2690973,0.31913397,0.34844685,0.33388755,0.2727885,0.18867184,0.11723083,0.087848864,0.10685736,0.15958925,0.21619058,0.2533517,0.26159582,0.24852814,0.22417922,0.19660348,0.17101507,0.15512271,0.1548505,0.17145504,0.19682805,0.22073887,0.23296325,0.2325748,0.22654085,0.22562504,0.23351018,0.24063611,0.23306848,0.20181108,0.15262447,0.09868922,0.055012304,0.03196944,0.038419563,0.080967814,0.1574461,0.24988425,0.3299962,0.37757862,0.39171085,0.38311145,0.35870042,0.31868967,0.267297,0.21843068,0.18634023,0.17294832,0.16497324,0.14721818,0.114092976,0.07396203,0.039134357,0.017138833,0.00700512,0.003834215,0.0033436986,0.0035100526,0.0037592303,0.00396958,0.0041847765,0.004514303,0.0050395853,0.0057302155,0.0064324248,0.0069432496,0.0071372814,0.007023267,0.006745148,0.0064789783,0.0063651744,0.006458845,0.006793827,0.00819737,0.014651201,0.03469937,0.079593964,0.15261708,0.24200161,0.3189161,0.35714042,0.34705344,0.30718818,0.26471892,0.23933269,0.22697704,0.213611,0.18947805,0.16054522,0.1377491,0.12721907,0.12549716,0.12775587,0.13094664,0.13575189,0.14352779,0.15528984,0.16789909,0.1737829,0.16651838,0.14854486,0.13074139,0.12276739,0.12534888,0.13047875,0.13022073,0.12065032,0.1060817,0.09565532,0.10153537,0.12945075,0.17445421,0.22150607,0.2548591,0.26566985,0.25348812,0.22290711,0.18015732,0.13263687,0.08796392,0.052562386,0.029029692,0.016159,0.010391104,0.008355223,0.007903443,0.008081961,0.0084554,0.008744684,0.009922002,0.016514003,0.03868339,0.08867339,0.1707037,0.27219552,0.3645481,0.42122522,0.43052927,0.40371776,0.3576633,0.30922687,0.26173255,0.21631245,0.16847579,0.121737234,0.08174307,0.061298702,0.06743657,0.09962232,0.14367028,0.18158479,0.20255268,0.21191533,0.22430919,0.24642396,0.26824388,0.2712463,0.24626358,0.20145385,0.15480518,0.12288029,0.11364502,0.12899186,0.16884916,0.2322331,0.3141575,0.3997718,0.46895632,0.50337464,0.4956983,0.44895515,0.37585577,0.2974927,0.23866415,0.21538316,0.22349054,0.24188499,0.2514014,0.25055414,0.25427023,0.27606234,0.3135784,0.34943154,0.36638537,0.36112466,0.34376994,0.3237392,0.2990866,0.26020405,0.20460008,0.14239053,0.091528125,0.0662863,0.077064894,0.12734677,0.21541218,0.323558,0.4247569,0.48805478,0.4996153,0.46754456,0.4173329,0.37466073,0.34822524,0.33376512,0.32208085,0.31390223,0.31155849,0.31206325,0.3040839,0.27940342,0.24353898,0.2121927,0.20141405,0.21294682,0.23410286,0.24578148,0.24060237,0.22632866,0.2164032,0.21254061,0.20724362,0.19487947,0.18162276,0.17477302,0.17263114,0.1646691,0.144033,0.11515186,0.08866829,0.07184958,0.066076584,0.07315147,0.10203475,0.1607551,0.2438931,0.3256497,0.37737274,0.3836694,0.35001323,0.28905034,0.21618085,0.147239,0.099145,0.08045211,0.08442249,0.09656677,0.10510198,0.113396674,0.13089556,0.16480392,0.20656341,0.24034895,0.25260326,0.24362458,0.22103234,0.19284765,0.16147721,0.12879674,0.098741144,0.07985985,0.08048289,0.10469729,0.14512496,0.18690766,0.21483661,0.22599207,0.22524582,0.2191401,0.20655064,0.18588448,0.16011137,0.1378306,0.12511446,0.11859768,0.10996898,0.09247439,0.06957918,0.050195023,0.046245713,0.06328964,0.10056142,0.14441603,0.17908062,0.19306736,0.19435735,0.19723202,0.21145588,0.22860545,0.2372111,0.23322122,0.2243352,0.21595956,0.20756453,0.19567078,0.18299182,0.17330424,0.16760518,0.16054468,0.14914638,0.13308279,0.11656368,0.10318167,0.09941707,0.10930159,0.1307212,0.1499965,0.1515674,0.13038927,0.09838724,0.07512701,0.073839836,0.093086146,0.121234916,0.14508055,0.15934555,0.16579713,0.16986622,0.17339368,0.17508961,0.17183419,0.16211653,0.14543368,0.12332246,0.10099432,0.0890932,0.09947362,0.13472301,0.18356849,0.22531082,0.24579775,0.24348162,0.22679685,0.20450617,0.18142807,0.16169737,0.14907081,0.14699668,0.15466428,0.16799761,0.18205015,0.1912108,0.19122021,0.18089588,0.16622402,0.15639657,0.15719526,0.16731805,0.18237728,0.19624953,0.20162551,0.18898027,0.15736526,0.11615431,0.08291487,0.06692901,0.0668949,0.07333732,0.07993146,0.08412757,0.0845322,0.07886225,0.06633178,0.05221842,0.04441662]