[0.002910906,0.0029953949,0.0031781972,0.0033960177,0.003563346,0.0036342635,0.0047096764,0.00939419,0.0223788,0.045549672,0.07627074,0.10411662,0.11887818,0.11390379,0.09266768,0.063671224,0.03716775,0.019146336,0.012689621,0.021767186,0.052975673,0.10898929,0.1773461,0.23005454,0.23956704,0.20053224,0.13387483,0.070959084,0.032920815,0.026421001,0.05136421,0.10841761,0.19368862,0.29023495,0.36678568,0.39243817,0.35669342,0.27934512,0.19865412,0.14689203,0.13053752,0.13261127,0.1288107,0.10777823,0.07403309,0.043451402,0.03215543,0.05535227,0.1200966,0.21828778,0.3177967,0.37663305,0.36722124,0.29690388,0.19982338,0.11242002,0.05362169,0.022594666,0.009848536,0.0062947944,0.0076388926,0.012980845,0.022016203,0.032949436,0.04202941,0.04789185,0.054277334,0.07137561,0.105940975,0.1536216,0.19331579,0.20444594,0.1822161,0.14868723,0.13085866,0.1390925,0.15582626,0.15565407,0.12837593,0.08514771,0.046684325,0.026196128,0.02846337,0.049676865,0.083220094,0.11601665,0.13693307,0.13834101,0.12323031,0.09828166,0.07403799,0.059321817,0.061195362,0.07863918,0.10362837,0.1246291,0.13724954,0.14381202,0.15045364,0.15609284,0.15616363,0.14712024,0.13511091,0.12931585,0.13331603,0.13853948,0.13243808,0.10912777,0.07631912,0.048430365,0.037946742,0.0474153,0.07174051,0.10110358,0.12690924,0.14077558,0.13810538,0.11811015,0.090815045,0.07170922,0.074526876,0.097376965,0.12474037,0.13913213,0.13748087,0.13133012,0.13439898,0.14568134,0.1510998,0.13570075,0.1005064,0.059278995,0.02824564,0.012648198,0.009386086,0.012478632,0.020194955,0.0313009,0.043395475,0.05040894,0.049911186,0.044403475,0.042945217,0.052414637,0.07550494,0.108266495,0.14453278,0.17718679,0.19846468,0.20305336,0.18788673,0.1575994,0.11839151,0.07972441,0.04692267,0.02418503,0.010926652,0.005520687,0.0059851543,0.013424979,0.03049124,0.057499986,0.08908073,0.11665732,0.13545893,0.1461305,0.15027565,0.1442034,0.12484903,0.097219944,0.07667748,0.07454183,0.08946375,0.106010914,0.110671915,0.09777985,0.073925965,0.048004985,0.02895531,0.020478623,0.022872053,0.03282433,0.045223117,0.055224735,0.0592646,0.05652982,0.047810182,0.035650328,0.022994818,0.0126859015,0.0060791676,0.0029091078,0.0023145892,0.0040036477,0.00877975,0.016420318,0.024837984,0.029888066,0.029298844,0.023850521,0.017507592,0.013497072,0.012934238,0.014421654,0.016258603,0.018750774,0.025593003,0.04397579,0.07858605,0.1279731,0.17854907,0.21521795,0.22649153,0.21695797,0.19525059,0.1716546,0.14874285,0.13048564,0.11808326,0.10978263,0.09746987,0.07682595,0.052245736,0.037649248,0.045619547,0.081473,0.13453026,0.18298787,0.20182031,0.18362556,0.14295454,0.107809015,0.098704986,0.117063425,0.15068297,0.18123305,0.19667085,0.18978637,0.16305088,0.12309086,0.08109863,0.046507623,0.02543012,0.019335955,0.025625082,0.039905846,0.05697952,0.07530061,0.09463339,0.11488872,0.13061179,0.13743868,0.13540138,0.13180323,0.13166034,0.13349319,0.12989621,0.11604489,0.09277914,0.06721511,0.0487375,0.047634467,0.06884558,0.10869533,0.15246545,0.18404646,0.19380616,0.18577707,0.16999443,0.15625054,0.14581615,0.13513003,0.12115007,0.1085841,0.10835039,0.12821384,0.164276,0.20006154,0.21854796,0.21065955,0.18100262,0.13898082,0.096424766,0.062410336,0.04666646,0.05472712,0.081213,0.109683454,0.1207634,0.112122916,0.09777362,0.09677145,0.111513175,0.12837167,0.132294,0.12088836,0.103443734,0.08923339,0.08014491,0.073053814,0.06399805,0.05261347,0.039521433,0.026947083,0.016277345,0.0089299595,0.0048890724,0.0033425589,0.0029559098,0.0030160353,0.0036479589,0.005680168,0.010360922,0.020018393,0.03799398,0.06537068,0.09598804,0.11653036,0.11514133,0.09237579,0.06153144,0.040891018,0.04156469,0.065442614,0.10131321,0.13204508,0.13882017,0.11784222,0.07981511,0.047157098,0.036740795,0.05464269,0.09108528,0.1276383,0.14628159,0.14415596,0.13439043,0.13596217,0.15372808,0.17610036,0.1845629,0.17284755,0.14729048,0.119239636,0.0925619,0.06695948,0.04331787,0.02800602,0.028229753,0.0460331,0.07718432,0.11108444,0.13953577,0.15631656,0.16318649,0.16119294,0.15569414,0.1490414,0.1454566,0.14375432,0.14314991,0.14216228,0.14167283,0.13985293,0.13175668,0.11328035,0.08804512,0.06854299,0.06713488,0.08509407,0.11043396,0.1275921,0.13013081,0.12159917,0.10875898,0.09311652,0.07461099,0.055323143,0.041712403,0.037583057,0.041428115,0.047050063,0.04966156,0.04795615,0.04325554,0.036609802,0.028942255,0.022326702,0.020852135,0.027098,0.040377345,0.055302873,0.06798167,0.07667425,0.08409479,0.090939276,0.097661674,0.10407434,0.1131952,0.12823147,0.14907674,0.17109154,0.18556553,0.18477952,0.1640985,0.12707068,0.08393975,0.04774782,0.026183337,0.018691853,0.019401908,0.023367234,0.030062312,0.042455424,0.06302545,0.08920195,0.11209992,0.12170323,0.1162345,0.10751187,0.111274995,0.13438356,0.16482633,0.1853801,0.18441041,0.16734187,0.14425378,0.124738574,0.11065618,0.10401941,0.106608875,0.11888299,0.13548099,0.1469431,0.14668874,0.13242266,0.10800258,0.07780125,0.048717048,0.025495077,0.012419235,0.010625427,0.020821607,0.041906014,0.071832955,0.1090759,0.15312837,0.20115137,0.2415371,0.259238,0.24669091,0.21350051,0.17643745,0.1464581,0.12285171,0.10206998,0.08426249,0.072094165,0.06595976,0.063029386,0.060799,0.05851172,0.05691607,0.055357452,0.051884502,0.044255663,0.03295841,0.020860175,0.011366147,0.005683787,0.0030290715,0.0018776223,0.0013683997,0.0017595348,0.0052478686,0.015931744,0.038832214,0.07465745,0.11902053,0.1598889,0.1871053,0.19130863,0.17356573,0.13744414,0.09503726,0.05581991,0.030270515,0.021863664,0.032223914,0.05610336,0.084930025,0.107027955,0.11692357,0.116841376,0.113663666,0.10986199,0.1016727,0.084703505,0.06033471,0.03558706,0.017478453,0.008316578,0.0063101067,0.007979677,0.011936885,0.020409273,0.0398827,0.07547464,0.12410907,0.17291327,0.20681413,0.2190461,0.21146375,0.19026041,0.15932806,0.12268474,0.08490033,0.05235331,0.030004226,0.020587979,0.024030505,0.038490433,0.06141296,0.08789092,0.10992595,0.117291726,0.10615987,0.083714046,0.06646999,0.06636163,0.08296756,0.1036553,0.116803855,0.11882341,0.11436587,0.10840016,0.101572685,0.09472111,0.091352075,0.10011124,0.12244723,0.15070121,0.16666126,0.15847437,0.12609345,0.08390262,0.04692102,0.024068484,0.014356318,0.013481061,0.018057756,0.028887257,0.04714926,0.072075285,0.09725561,0.11592251,0.12247828,0.11749811,0.10413543,0.088315286,0.07524227,0.06826056,0.06836378,0.07493976,0.08769781,0.10416297,0.117686294,0.11954001,0.104456425,0.07745454,0.05024002,0.036548715,0.043089185,0.06868348,0.104621015,0.14000015,0.16629833,0.18012619,0.18297791,0.17844528,0.16872746,0.15350145,0.13093068,0.10567809,0.092037745,0.1115311,0.17280014,0.2602298,0.3351183,0.3663458,0.347317,0.30128947,0.25325656,0.2208978,0.20164119,0.18872905,0.16829653,0.13787864,0.10192347,0.07772965,0.07457978,0.09010757,0.10882413,0.12229327,0.13545686,0.15940498,0.19375342,0.22415589,0.23685402,0.22981799,0.20900583,0.17775767,0.13642947,0.08999168,0.04989064,0.027876653,0.029107392,0.049194645,0.07766424,0.10061147,0.11085212,0.108928084,0.10506933,0.10678079,0.11734897,0.12974136,0.13626431,0.12878361,0.108552195,0.081679136,0.06056201,0.05368368,0.06383922,0.08510839,0.10813999,0.123524904,0.12465569,0.10916325,0.081037186,0.049380735,0.024032027,0.009118404,0.003206425,0.0036766755,0.011912469,0.033981007,0.07243744,0.12199328,0.16552608,0.18789019,0.18099369,0.15210581,0.11228779,0.073922195,0.043475736,0.026132368,0.024650568,0.04009292,0.06707548,0.093627535,0.10541143,0.09601059,0.07136005,0.04597771,0.032632653,0.03646757,0.05447473,0.07958496,0.10423257,0.12400026,0.13728599,0.14426327,0.14454924,0.13813536,0.1251438,0.10597562,0.081453465,0.054731026,0.03128163,0.016749645,0.014393029,0.026167588,0.05234318,0.09160515,0.13539697,0.1726607,0.19009961,0.18404363,0.15621921,0.1191288,0.08546296,0.06755162,0.0674634,0.07960153,0.09332988,0.101303786,0.1029282,0.10470274,0.113407396,0.12849449,0.13964798,0.13568492,0.1156466,0.089853615,0.070523895,0.06328932,0.0672425,0.08093125,0.101652585,0.124499895,0.13906266,0.13815247,0.12133489,0.098590024,0.08084535,0.074793555,0.078218706,0.08507965,0.090094864,0.09333712,0.09754044,0.104415745,0.11166617,0.11687505,0.120946206,0.13003753,0.1516815,0.18857823,0.230076,0.25375015,0.23807605,0.18331821,0.111562185,0.051945925,0.017465709,0.0047084526,0.002285702,0.003098458,0.004378594,0.005803852,0.0071368446,0.00844193,0.010374359,0.013589579,0.018537648,0.024268962,0.029114502,0.03066287,0.028183749,0.024725512,0.028030768,0.04757205,0.084688,0.13005608,0.16788371,0.1927347,0.21094193,0.2314816,0.251567,0.25966507,0.24989401,0.22792977,0.20665264,0.19171624,0.18002403,0.16134115,0.13022207,0.08948827,0.05008011,0.021643447,0.0070511685,0.0041754297,0.011214669,0.031207955,0.06515221,0.10971769,0.15069516,0.17461973,0.17038853,0.14178538,0.0989665,0.058191467,0.028670462,0.013736673,0.009715569,0.013656184,0.025646335,0.04886794,0.08366347,0.12306587,0.15443714,0.1674751,0.16092223,0.14112298,0.115903914,0.09085373,0.06988926,0.056513917,0.051763773,0.053635422,0.05765694,0.06009287,0.059507564,0.05659078,0.05385283,0.052444782,0.052639876,0.052066103,0.04926007,0.043086845,0.03439828,0.024592213,0.015559076,0.008870658,0.005902871,0.00842844,0.019247213,0.039063852,0.065077715,0.090299286,0.11035053,0.12501061,0.1358196,0.13987042,0.13027959,0.10486827,0.07073393,0.042219516,0.031332258,0.043063432,0.076490395,0.12435472,0.17353272,0.20426233,0.20328851,0.17355107,0.1363054,0.1139696,0.1149072,0.13121213,0.14952327,0.15986954,0.15645356,0.1365377,0.10297505,0.06500056,0.034854885,0.02068285,0.024582287,0.042346895,0.06583957,0.08429974,0.08988482,0.08101366,0.06319949,0.04361326,0.028195793,0.020392584,0.024509937,0.043952573,0.079794474,0.12389541,0.1619481,0.17756307,0.16476902,0.12972234,0.087416746,0.05165403,0.02995345,0.02489992,0.035106804,0.056885112,0.08155119,0.099835776,0.1043717,0.096729614,0.0842857,0.079649046,0.088773094,0.11161331,0.13658269,0.15419775,0.15496285,0.13941984,0.11123717,0.08355632,0.0700098,0.078790955,0.10434856,0.12989287,0.14083815,0.13155286,0.1091485,0.083054766,0.060766574,0.04367539,0.030931354,0.021703767,0.016303433,0.015895164,0.022897603,0.041261647,0.07441472,0.1194633,0.16520149,0.19648482,0.20519252,0.19424735,0.17335339,0.14899628,0.12338567,0.097406775,0.07584379,0.0635643,0.061924893,0.06607264,0.06907377,0.067090176,0.061182216,0.05512521,0.050859362,0.04797184,0.044704225,0.04118376,0.040812094,0.05094084,0.076319285,0.11218322,0.14189279,0.14927582,0.13160981,0.10095048,0.07225105,0.05136642,0.03729196,0.027719475,0.023408255,0.02520513,0.03425954,0.054387093,0.08826644,0.13102137,0.16503349,0.17394768,0.15564317,0.12750109,0.10678092,0.09778767,0.08997422,0.077479854,0.06608115,0.068312444,0.08686203,0.11109877,0.12790768,0.13388644,0.13652629,0.14207685,0.14717281,0.14289929,0.12449423,0.09807225,0.07412911,0.061435666,0.060576815,0.06575468,0.06791059,0.06131272,0.047540426,0.03488603,0.032890726,0.047196697,0.075758494,0.10929907,0.13437423,0.1411708,0.12938717,0.10662598,0.08280633,0.06415927,0.055484515,0.058818936,0.07271961,0.08970239,0.10286478,0.11245373,0.12400321,0.13941108,0.14967972,0.1437792,0.11808428,0.08177819,0.047538534,0.024365716,0.01403191,0.013969016,0.020032456,0.028912654,0.04028019,0.057318438,0.08252411,0.11267964,0.13589817,0.13974513,0.119433485,0.08389213,0.047417615,0.021477552,0.007904145,0.0039384826,0.006750802,0.017429845,0.03679285,0.06357322,0.09317714,0.12116021,0.1432461,0.1537726,0.14750916,0.12274689,0.08696818,0.051361144,0.026732892,0.016774407,0.020655997,0.032964643,0.047003955,0.0560946,0.059466507,0.060900837,0.06645572,0.07502106,0.08209292,0.08160796,0.07618677,0.07010513,0.06797358,0.066233575,0.061076153,0.049637735,0.03526741,0.02183195,0.012671314,0.00885689,0.012089078,0.025504664,0.05061983,0.08442431,0.117753685,0.14279711,0.15527792,0.15599026,0.14483684,0.12479839,0.10420222,0.09558178,0.10515491,0.1267353,0.14665222,0.15474142,0.15096323,0.14333743,0.14082892,0.14542758,0.15214205,0.15214099,0.1431091,0.12688,0.10908393,0.09108722,0.07433208,0.059461232,0.04902813,0.044123705,0.044542972,0.047989294,0.051324278,0.051700857,0.0483098,0.04371093,0.043637138,0.054611366,0.07890328,0.11023417,0.13543512,0.14234717,0.12808903,0.09978332,0.06832862,0.04205885,0.024271615,0.014832224,0.011297875,0.010929049,0.012007418,0.015204001,0.021566214,0.030196538,0.036995366,0.03804468,0.032531027,0.023760332,0.015712818,0.010553666,0.008547117,0.011947866,0.027613947,0.06460614,0.123184465,0.18702899,0.22691964,0.2219094,0.17462862,0.11026964,0.05656146,0.028620565,0.02679088,0.041796137,0.061635707,0.07386957,0.074319206,0.06622526,0.058583964,0.05533905,0.05617344,0.059132844,0.065454476,0.07713821,0.091415495,0.10131801,0.09853419,0.082527675,0.05979398,0.042731497,0.040854126,0.056372974,0.08164021,0.10285918,0.1109652,0.10637227,0.09968639,0.09782734,0.100951515,0.10014217,0.09037691,0.071517706,0.05281419,0.044463992,0.055808235,0.0854336,0.12277464,0.1513084,0.16300489,0.15919594,0.14818496,0.13315208,0.11480114,0.092129566,0.06839736,0.04735704,0.032908026,0.0264405,0.026473477,0.029124722,0.029740805,0.027242107,0.024464956,0.027794441,0.040190537,0.059394192,0.07700422,0.0874918,0.08988928,0.08813522,0.08378103,0.076772474,0.06882957,0.065264344,0.072340555,0.089257516,0.10912331,0.12042844,0.11703303,0.10167269,0.08694682,0.08710361,0.105051346,0.13058217,0.14536172,0.14357305,0.1314176,0.12357014,0.12334869,0.12689213,0.12689288,0.1237841,0.11994492,0.11726606,0.11453774,0.11132052,0.10661898,0.0985018,0.08420148,0.06654121,0.053951398,0.058616806,0.082712345,0.11723673,0.14059132,0.13939516,0.11234215,0.07655055,0.050250486,0.0482665,0.07318505,0.11579595,0.15745534,0.1789037,0.17493157,0.15351456,0.12815784,0.1038639,0.0797003,0.05515678,0.035131574,0.026238276,0.033761285,0.060138535,0.10502867,0.15951844,0.20767222,0.23040776,0.22047202,0.18418711,0.13846281,0.09660406,0.064265594,0.04043646,0.023562832,0.013822497,0.011902201,0.017706314,0.028793385,0.042016566,0.05368198,0.06286066,0.06890142,0.07293053,0.07398506,0.07328779,0.071660526,0.07164594,0.07269798,0.07261965,0.06773107,0.057171393,0.043220162,0.030384785,0.021893064,0.019005144,0.02037236,0.023630755,0.025310913,0.02356165,0.018495874,0.012971967,0.010700407,0.015770594,0.031088142,0.054527957,0.0776127,0.08798776,0.07985829,0.05797858,0.036022536,0.026343511,0.033807162,0.053723782,0.074776016,0.085504346,0.08026283,0.06353519,0.04639919,0.040284637,0.050337892,0.073470876,0.10142862,0.12352391,0.13210918,0.12278488,0.09902289,0.06845981,0.041661516,0.02507397,0.020620355,0.025831183,0.03541526,0.04339522,0.044366766,0.0377726,0.02662572,0.016450621,0.010808912,0.0115607595,0.017811002,0.02664268,0.03301172,0.033026982,0.026445663,0.016931513,0.009106691,0.005897692,0.008327913,0.015692519,0.026181012,0.036946464,0.04524592,0.049138706,0.049700096,0.052617863,0.068305075,0.10110309,0.14314646,0.17260526,0.17389183,0.14587934,0.10446873,0.06507256,0.03729246,0.023162618,0.023402607,0.037078347,0.06102447,0.08814422,0.1094141,0.11622485,0.1049599,0.079954214,0.05223905,0.034233224,0.03258164,0.046909392,0.072526954,0.10294887,0.13154203,0.14827877,0.14751266,0.12916379,0.10687334,0.09425505,0.09899286,0.11136646,0.11636803,0.10325813,0.07594824,0.046932038,0.028773164,0.027666653,0.04178077,0.06448698,0.085383154,0.09697824,0.09603226,0.086838745,0.07586754,0.06881524,0.06590589,0.06577334,0.06935313,0.08607677,0.121922515,0.17381622,0.21829869,0.23532571,0.21417667,0.16976589,0.11901299,0.077873506,0.047799617,0.027957106,0.014795582,0.007346244,0.003865902,0.0029411092,0.0044393633,0.011109889,0.028254628,0.05701403,0.08993581,0.11090878,0.10835272,0.08428932,0.05475484,0.03725144,0.040765643,0.06534302,0.10401497,0.1456417,0.17348273,0.17435203,0.14693475,0.10681817,0.07638312,0.07124079,0.09208655,0.12494471,0.15014136,0.15128356,0.12605968,0.08549178,0.047086697,0.022059144,0.0124199325,0.014030932,0.023530543,0.038306624,0.055902403,0.07315375,0.08960419,0.10781481,0.1290165,0.15180162,0.17128013,0.18528837,0.1912942,0.18816888,0.1771152,0.16387264,0.15547098,0.15081753,0.14461403,0.13110867,0.11262361,0.09241357,0.072948165,0.053613376,0.0358147,0.022197964,0.015020724,0.013332006,0.0140164485,0.014123068,0.012796801,0.011217809,0.0111402,0.015592658,0.028672064,0.05577289,0.09416119,0.13213998,0.1497725,0.13933901,0.10786116,0.07590546,0.05633822,0.050519764,0.049518894,0.045604486,0.03675909,0.025856594,0.017193383,0.012448553,0.011105928,0.012016475,0.015570224,0.023083262,0.03382994,0.044019,0.04797766,0.043625604,0.034050323,0.026106618,0.023766518,0.025995066,0.02825875,0.028266853,0.027739758,0.029784715,0.034857433,0.039684787,0.041463345,0.03992672,0.03808848,0.039419923,0.049940586,0.077713735,0.12934291,0.19851406,0.26302034,0.29488954,0.2812471,0.23388612,0.17864822,0.13671218,0.113548525,0.1045641,0.10173028,0.09914559,0.09232847,0.0802043,0.06433762,0.04854888,0.036438,0.030585742,0.030395439,0.032588553,0.032846052,0.03082017,0.030285722,0.03685971,0.052674204,0.07539866,0.0997096,0.119135655,0.1280126,0.12315931,0.10793856,0.091883115,0.08459082,0.08763599,0.09240651,0.09000904,0.08019667,0.073497,0.07877781,0.0938353,0.10482787,0.0994465,0.07687801,0.04809868,0.025673166,0.015774753,0.016445728,0.021813244,0.025947513,0.026257105,0.024125615,0.024693867,0.03321298,0.052128103,0.07765627,0.10168654,0.115030594,0.11349267,0.09850528,0.075744696,0.051274586,0.02999966,0.015426955,0.010028328,0.016245736,0.034687463,0.061135918,0.08465908,0.0929974,0.08135313,0.056476057,0.031784035,0.018293433,0.021261051,0.04052104,0.07415211,0.116196096,0.15717639,0.18474887,0.19042397,0.17365994,0.14081727,0.10175031,0.065224685,0.040839676,0.037472147,0.061595548,0.10809053,0.15896241,0.18864942,0.18297358,0.14695294,0.10262527,0.06979381,0.05719435,0.059503496,0.06659683,0.06845284,0.060931355,0.045671165,0.028821519,0.016457403,0.012259767,0.016801106,0.028163234,0.0425442,0.055460025,0.063773006,0.06632642,0.06335273,0.055377394,0.044317212,0.034461346,0.031714853,0.039018754,0.05362611,0.06834304,0.077945955,0.08193828,0.08218356,0.07933254,0.072886266,0.06709639,0.06893203,0.08689789,0.12088102,0.16415186,0.19990456,0.21320552,0.19624507,0.1573207,0.11163333,0.072836235,0.04525814,0.027976988,0.018281898,0.013856295,0.012379394,0.01270401,0.01568398,0.02217923,0.0309614,0.038420632,0.042706918,0.046102744,0.052244183,0.06134444,0.06722286,0.064243086,0.05107716,0.034171734,0.020156898,0.0135407075,0.013017858,0.015445094,0.016796796,0.017116146,0.02016799,0.033469304,0.05832604,0.08915613,0.113841385,0.12942308,0.13903177,0.1477666,0.14859284,0.13257338,0.0984419,0.058905255,0.02840785,0.0133904135,0.011291166,0.017240573,0.028194332,0.043170903,0.06207062,0.08327052,0.10285751,0.11424676,0.11715748,0.12011572,0.1395996,0.18162031,0.23278861,0.2628415,0.25008973,0.19940595,0.14102985,0.103992544,0.097715475,0.11082242,0.13185258,0.15536492,0.18028496,0.19715987,0.19455917,0.1669572,0.12275834,0.07673922,0.041623794,0.02241548,0.01832007,0.024089485,0.03284921,0.036934305,0.03349382,0.02401155,0.014077812,0.0077472865,0.008052344,0.016810397,0.033874225,0.054181952,0.06778538,0.06703404,0.05239543,0.03298266,0.020439157,0.023968264,0.04795308,0.08765397,0.12785707,0.14758094,0.1355849,0.0985262,0.05631641,0.026255421,0.0145309875,0.019621352,0.039777618,0.07656011,0.12811169,0.1841851,0.22367121,0.2277727,0.19167669,0.13226177,0.07470782,0.037976164,0.024551935,0.02689605,0.03471634,0.04103911,0.041423548,0.035526183,0.026001781,0.018341219,0.016517838,0.022008082,0.03265007,0.044508968,0.053069886,0.055738766,0.05326626,0.04860266,0.044106573,0.039174005,0.032267097,0.023041502,0.013800472,0.0069481065,0.003912546,0.004641967,0.008685877,0.014718833,0.020338936,0.022808092,0.021014996,0.016297141,0.011347593,0.008834585,0.010688986,0.018706629,0.031998005,0.046567883,0.05522469,0.054542508,0.047208082,0.041557852,0.044598747,0.05672421,0.07151941,0.078941256,0.07330046,0.05598693,0.035559833,0.02056002,0.015459716,0.01867381,0.025919506,0.032725316,0.037298653,0.039394286,0.0394764,0.036910858,0.032093354,0.027066765,0.025703656,0.029265815,0.0355331,0.038920786,0.036604714,0.02936543,0.022695757,0.023257406,0.03904516,0.074679114,0.12559257,0.17540467,0.20472376,0.20489025,0.18258469,0.15133671,0.12166432,0.09698293,0.07774285,0.061948974,0.047963325,0.034295734,0.022175187,0.013320138,0.008587178,0.0069863703,0.0069046174,0.0071456,0.0071761366,0.0078179175,0.012077461,0.02481957,0.04906602,0.08174784,0.11438932,0.14141132,0.1649011,0.19077985,0.21456482,0.22235751,0.20036472,0.15369515,0.10119021,0.06459989,0.051853213,0.058909386,0.07446972,0.0875447,0.08995771,0.078708075,0.057778347,0.03614134,0.023995563,0.027802428,0.048817128,0.08231402,0.11878455,0.14568819,0.15303475,0.13777812,0.10711509,0.072915025,0.04585809,0.028832585,0.019865653,0.015478327,0.014436916,0.016611358,0.022092247,0.03151752,0.044269513,0.05861789,0.07130149,0.08530575,0.11073834,0.1599077,0.23332763,0.31199566,0.36741793,0.37610066,0.33814406,0.27027845,0.19980538,0.14479086,0.113719605,0.10138935,0.09911767,0.09868839,0.09925139,0.101959966,0.1061064,0.105155945,0.09518363,0.077096425,0.057953864,0.042265043,0.031931676,0.025666947,0.0227511,0.021773815,0.021175342,0.019493364,0.01680431,0.014485189,0.014226335,0.016405812,0.019898199,0.022576138,0.023485089,0.022962859,0.022299526,0.021903893,0.022663122,0.027842557,0.043571204,0.07345218,0.111362,0.1414711,0.14805722,0.12882014,0.09589555,0.065898165,0.04716851,0.037691306,0.03249562,0.030145645,0.035676107,0.052567106,0.079779126,0.106928885,0.12576245,0.13319014,0.13647844,0.14025931,0.14551723,0.14848073,0.15012735,0.15123661,0.14898157,0.1353101,0.10756334,0.072698414,0.04332986,0.027613586,0.02670403,0.03700831,0.05422725,0.073146924,0.08875886,0.09620155,0.09351053,0.08143615,0.06489589,0.049434256,0.03895101,0.032373104,0.027355855,0.02360154,0.025628647,0.037763212,0.05861348,0.07858335,0.08618798,0.07700073,0.058012124,0.042480126,0.04084872,0.05274971,0.06864144,0.075372905,0.06752221,0.049196903,0.032271583,0.026208267,0.034141492,0.050947685,0.06703683,0.073067985,0.065590315,0.04985918,0.03680945,0.03560895,0.047989294,0.065969534,0.0784368,0.0765003,0.061393116,0.041251745,0.027505802,0.026946599,0.04014429,0.063565075,0.0917897,0.122032076,0.1517824,0.18188517,0.21106178,0.23658347,0.25002453,0.24402182,0.21780096,0.18001205,0.14428897,0.12090302,0.11466787,0.12046053,0.1271177,0.12114454,0.10030318,0.07617181,0.069840424,0.09530445,0.1477438,0.20286648,0.2302146,0.21526414,0.16901736,0.12258642,0.1049838,0.12511174,0.16820347,0.20559789,0.21649282,0.19629686,0.15980642,0.12334559,0.09758573,0.08073781,0.06841934,0.05720474,0.047250908,0.038611304,0.030260153,0.021822458,0.0142309,0.00960943,0.008872423,0.01140079,0.015374012,0.018883616,0.020978821,0.02167272,0.022048831,0.023746178,0.027924238,0.034235705,0.040370952,0.044554684,0.046751495,0.048576597,0.050416093,0.050779972,0.047848463,0.04151642,0.034525096,0.03088813,0.034800995,0.048492447,0.0709959,0.09678879,0.11658609,0.122096755,0.111266285,0.08996252,0.06683574,0.04734209,0.032272603,0.020472838,0.012044308,0.008485064,0.012062505,0.023864588,0.04165566,0.05912568,0.06842246,0.06619345,0.056230694,0.049688607,0.06015407,0.09756916,0.15877466,0.22223955,0.25771695,0.24558634,0.19378982,0.12861831,0.07609058,0.046338294,0.040041726,0.055915546,0.09106294,0.13246675,0.15874098,0.15347807,0.11904606,0.0742527,0.0419319,0.036869008,0.06395257,0.11756804,0.18406312,0.24504118,0.2861696,0.29947484,0.28304678,0.23896687,0.17821248,0.1198399,0.08436217,0.078582995,0.09384332,0.11022701,0.114394635,0.10198947,0.08064255,0.05852687,0.045468867,0.047262978,0.066841476,0.097422384,0.12543865,0.13736303,0.13208514,0.12338507,0.12872033,0.15335384,0.18310337,0.19726259,0.1852756,0.15522617,0.12293061,0.09829271,0.080342375,0.063774,0.046932727,0.032124758,0.022677442,0.01929084,0.0209143,0.025485642,0.030750418,0.034240667,0.033847455,0.030765325,0.030293563,0.04029509,0.06371783,0.09450647,0.11918948,0.12690757,0.11754074,0.101973176,0.09385479,0.098445185,0.11118853,0.12236235,0.12972401,0.13689959,0.14989036,0.16700666,0.18548049,0.20272875,0.21745832,0.22137266,0.20472002,0.16515006,0.11509689,0.07322819,0.053675815,0.057063553,0.0727574,0.08407245,0.08040302,0.06268775,0.04405399,0.04005039,0.059880335,0.099843465,0.14243923,0.16544275,0.15501876,0.11822962,0.07646588,0.050969977,0.047435466,0.057301033,0.067123584,0.06811614,0.059335798,0.045406472,0.034578837,0.035531476,0.052017827,0.080655575,0.11022972,0.13300057,0.14470893,0.14817156,0.14248252,0.12885875,0.10821808,0.08765785,0.07344467,0.07135519,0.0803897,0.09534942,0.1059076,0.10549271,0.09219191,0.07179386,0.050757904,0.034679223,0.024522452,0.019059138,0.016283479,0.01594177,0.018213728,0.022338508,0.02649721,0.031370092,0.042020064,0.06370955,0.095258005,0.12500203,0.13897264,0.1295742,0.102357686,0.0692956,0.04179971,0.024137683,0.01537405,0.012116018,0.011981304,0.013371736,0.015222877,0.01598043,0.015188401,0.015096131,0.02202873,0.043842357,0.08341503,0.133462,0.17833157,0.20298904,0.20265408,0.18219626,0.152137,0.119703114,0.089746185,0.06386987,0.044099245,0.031103127,0.02381324,0.01992113,0.017199181,0.015877508,0.01668863,0.020168329,0.024193943,0.026123507,0.023800915,0.018105771,0.011789921,0.008338205,0.00980227,0.015537776,0.02276812,0.027964061,0.030468794,0.033157703,0.04024255,0.053303745,0.06769808,0.07647002,0.07420534,0.06526277,0.06100285,0.07329999,0.101955205,0.13262276,0.14647983,0.13445951,0.10363522,0.06895867,0.042998344,0.030536018,0.032434333,0.047083605,0.0694253,0.08926638,0.09629022,0.08828014,0.07313256,0.06465751,0.06977112,0.08542541,0.09830809,0.09850225,0.084043466,0.064324595,0.050806448,0.0508583,0.06283944,0.077265106,0.08452929,0.08185048,0.07901629,0.088650614,0.11552296,0.14628482,0.16113454,0.14897104,0.12080306,0.098207824,0.09593311,0.10879302,0.12026524,0.117928,0.10274617,0.08448085,0.07224394,0.06912137,0.07453832,0.08589736,0.10032192,0.11131687,0.11278982,0.102612354,0.08846998,0.0835842,0.096325755,0.12205801,0.14319469,0.14458053,0.12330839,0.09212347,0.06569234,0.051566288,0.047701214,0.048987325,0.053516194,0.06237204,0.078791164,0.10238128,0.12915167,0.15024625,0.15847969,0.15111808,0.13318935,0.11395427,0.10286174,0.10337642,0.11211682,0.12081834,0.12380532,0.11992694,0.113329805,0.10755784,0.10423944,0.101424925,0.09631175,0.08673933,0.07384331,0.06253273,0.05949684,0.06817218,0.08740028,0.11315016,0.14328134,0.17273413,0.19250204,0.18968017,0.1635939,0.12659241,0.09946797,0.089544035,0.090359546,0.08771526,0.0780604,0.06877635,0.07006908,0.08321152,0.09749198,0.10135728,0.0890787,0.068451405,0.05298612,0.05850322,0.091169655,0.14213984,0.18711126,0.20051748,0.17405729,0.122107625,0.07096821,0.040254634,0.036813393,0.05560561,0.08682781,0.115951955,0.1321269,0.13083906,0.11908153,0.107000686,0.10441157,0.117095314,0.14354016,0.172916,0.18573256,0.17209463,0.13944441,0.11167247,0.104637094,0.1170018,0.13192928,0.13622923,0.12759607,0.1133135,0.10080447,0.09223745,0.08527852,0.0760502,0.06397607,0.0523776,0.0472853,0.05161925,0.06277958,0.07348838,0.07920056,0.080313385,0.08127707,0.083633274,0.08548606,0.0838116,0.07940335,0.076984264,0.08128747,0.091571145,0.1008602,0.100675784,0.089603506,0.07417498,0.06331238,0.05996116,0.062323242,0.07030674,0.088261865,0.11727008,0.14951771,0.1708176,0.17427075,0.16308127,0.14625059,0.12844706,0.111516126,0.101373635,0.108115494,0.13555376,0.17015572,0.18662624,0.1697994,0.12764192,0.08731234,0.070184834,0.079013765,0.09668223,0.10405589,0.09235548,0.06896321,0.04846658,0.04183507,0.04940488,0.06329144,0.07482978,0.079577364,0.07835785,0.073703095,0.067799,0.06214669,0.058632378,0.059825283,0.06701098,0.0801757,0.09876537,0.121353805,0.14381267,0.15586637,0.14970969,0.12543087,0.098496504,0.08603852,0.09938816,0.13400124,0.17707331,0.21187584,0.2273465,0.22143067,0.20274968,0.18418796,0.17354202,0.16872476,0.16077453,0.144506,0.122651435,0.104188554,0.094902605,0.094297945,0.09667585,0.09689272,0.09371931,0.08952841,0.08754933,0.08682433,0.083408415,0.07284061,0.05725892,0.043343186,0.039315417,0.048193593,0.067658454,0.09125292,0.11079835,0.11892426,0.11237543,0.09557047,0.078809306,0.071810536,0.07613896,0.08483846,0.08815659,0.08210752,0.07142897,0.06844494,0.085048646,0.124225855,0.17159124,0.20223366,0.19634046,0.1597947,0.121731795,0.11702005,0.15765457,0.22462988,0.2788773,0.29031852,0.25830898,0.2133851,0.19536544,0.22770679,0.3001914,0.37825644,0.4245133,0.4256728,0.39354062,0.3493797,0.30540797,0.26402628,0.23318397,0.22202438,0.23396342,0.25018814,0.25044087,0.22335108,0.17879277,0.12983306,0.08763811,0.056027263,0.037886743,0.03333062,0.039183605,0.048404332,0.054265175,0.055220123,0.05489555,0.05834785,0.06608732,0.075220734,0.082414515,0.08625571,0.08567729,0.079848744,0.07197039,0.069307365,0.07895958,0.101285554,0.12900788,0.15321861,0.1671471,0.17143857,0.16821812,0.1608677,0.14766817,0.1296673,0.11046792,0.098059714,0.09582654,0.1014663,0.10890526,0.114545345,0.11835887,0.121166766,0.1206156,0.11263319,0.095792614,0.07589064,0.061661553,0.057984818,0.061506268,0.06614142,0.07021948,0.07867577,0.09493587,0.11528934,0.1293708,0.1327314,0.12946646,0.12802757,0.12824933,0.1233396,0.1076029,0.08472117,0.06356745,0.051933836,0.05206022,0.06167112,0.07432929,0.08300098,0.083099864,0.0758831,0.065943114,0.058391612,0.05675043,0.06360514,0.07960872,0.10135734,0.1217553,0.13317777,0.13444127,0.12960277,0.12584661,0.12344307,0.11864108,0.10646517,0.09117002,0.08332697,0.093268715,0.12109617,0.15598553,0.184385,0.19793396,0.19638973,0.18248378,0.15951116,0.13127269,0.10275809,0.07801076,0.058462083,0.04441299,0.036651388,0.035375774,0.038321953,0.041490983,0.042121526,0.041220333,0.0414784,0.04489864,0.049358115,0.051656365,0.04963479,0.04620072,0.045888305,0.05157065,0.060378265,0.06672663,0.066597685,0.060719345,0.05226095,0.044424858,0.039269883,0.03903949,0.04427791,0.053824563,0.065088026,0.078780524,0.09579411,0.11469189,0.1272021,0.12665755,0.112132885,0.09193253,0.07470112,0.06515907,0.060739234,0.056568567,0.049547788,0.041597623,0.037711594,0.042405903,0.057245325,0.07964773,0.10285089,0.117480285,0.1166024,0.101324834,0.079523556,0.060968313,0.050388396,0.04934603,0.055937957,0.06676122,0.07455037,0.074192315,0.06704722,0.06258584,0.06911636,0.08635824,0.105743974,0.118377335,0.121862434,0.11763578,0.110117875,0.10354938,0.10528663,0.11852497,0.13969459,0.1563764,0.15734492,0.14098096,0.11775813,0.102548935,0.10166847,0.1094071,0.11285621,0.10791251,0.100227386,0.101679236,0.11380994,0.13027242,0.13920735,0.13692778,0.1258973,0.11429039,0.10758541,0.10741963,0.11020545,0.11112655,0.10748273,0.10057858,0.09349268,0.08915939,0.08992135,0.0979239,0.11155943,0.123304665,0.123676926,0.1103731,0.09214639,0.08025841,0.07910943,0.083159454,0.086169235,0.08558413,0.08289491,0.07877987,0.07322964,0.067253746,0.062164325,0.05917642,0.057878535,0.058753833,0.06082642,0.06276671,0.06335162,0.066597186,0.078752875,0.10199048,0.12858053,0.14561222,0.14564951,0.13104774,0.11073572,0.091282986,0.074835904,0.060668495,0.04856651,0.040730536,0.040714517,0.053770144,0.07962177,0.110488534,0.12984318,0.12753561,0.10650754,0.08357113,0.07273776,0.07719648,0.0897955,0.10338623,0.117538966,0.13548183,0.16021033,0.18547644,0.20215869,0.20025973,0.18230174,0.15602055,0.13209148,0.11378396,0.10265181,0.09971135,0.10473898,0.11177614,0.11076286,0.0969611,0.07488274,0.054376308,0.041144166,0.034450702,0.031454474,0.03201857,0.037997514,0.049397867,0.06227987,0.07188967,0.07544281,0.07388804,0.069875814,0.06687734,0.06874746,0.07776671,0.09688455,0.1298554,0.1842364,0.2603999,0.34367839,0.40493116,0.41698852,0.37551093,0.29754004,0.21569777,0.1536326,0.123164475,0.11603672,0.12012609,0.12460064,0.12797172,0.13023065,0.13223094,0.13723576,0.15425219,0.18940459,0.23434542,0.26708624,0.2669358,0.23389666,0.18678491,0.15233135,0.14457338,0.16191022,0.18662457,0.1998943,0.19049303,0.16491438,0.13963442,0.13010263,0.13697319,0.14817184,0.15006453,0.13811894,0.11753312,0.09453834,0.07367446,0.05732733,0.048832875,0.049083933,0.05587681,0.06415378,0.06949284,0.06954709,0.06524269,0.060091242,0.058315873,0.06179421,0.06996637,0.08248495,0.10140028,0.12685522,0.15293097,0.1675136,0.16346551,0.14354713,0.12020872,0.10370743,0.09730842,0.096339114,0.0937865,0.08857542,0.087363325,0.1044449,0.14376064,0.19615632,0.23720491,0.2514154,0.23760694,0.21451902,0.2068578,0.23316805,0.2909983,0.3506564,0.37510964,0.3477454,0.29115328,0.24877489,0.24713178,0.27699652,0.3012865,0.29622102,0.261213,0.21883743,0.18226017,0.15879099,0.14761996,0.15164481,0.16462909,0.17503615,0.17336875,0.16479276,0.16210102,0.17039925,0.17923498,0.1725695,0.14509797,0.10918801,0.086829156,0.09334978,0.12687589,0.16897662,0.20005573,0.21021841,0.20404513,0.18928318,0.17174177,0.15266918,0.13386329,0.11853713,0.10984746,0.11210973,0.12941645,0.1653833,0.21339543,0.25744447,0.2762505,0.2613514,0.21947157,0.17118092,0.13398795,0.11787131,0.11983677,0.13075446,0.13942558,0.13939859,0.13184412,0.12584923,0.1356976,0.16895056,0.21756466,0.25687283,0.26601258,0.24187015,0.2013671,0.16206837,0.13287058,0.114131354,0.10551185,0.107959755,0.11717836,0.12647808,0.12824859,0.12731616,0.13604568,0.16856688,0.22196062,0.27480257,0.29842916,0.27945665,0.22935586,0.1743278,0.1349373,0.11540089,0.10782125,0.10394705,0.10115725,0.099535905,0.0988398,0.09541919,0.08821049,0.07760621,0.068145074,0.062100947,0.061104704,0.06500892,0.07489142,0.09082657,0.10987546,0.12571089,0.13271266,0.13007116,0.12176012,0.11222073,0.10339225,0.09568983,0.08983896,0.087235205,0.087862276,0.091057956,0.09583845,0.100844115,0.103370346,0.100747585,0.09441165,0.088759474,0.08717686,0.087811686,0.08670601,0.08388551,0.082442105,0.08564621,0.09023961,0.09241695,0.08848349,0.08121529,0.07476426,0.0767923,0.091867395,0.119571984,0.14949639,0.16768698,0.16508873,0.14505644,0.119766444,0.101808906,0.09592348,0.09779182,0.09970278,0.09824934,0.09962749,0.11331919,0.14434259,0.18726851,0.22838359,0.25298738,0.24806316,0.2165096,0.17380486,0.14869481,0.15489386,0.18838978,0.22612111,0.25055715,0.255109,0.24524625,0.22995965,0.2180447,0.21598864,0.22274424,0.23170994,0.23537809,0.23324455,0.22944324,0.22409092,0.212027,0.18642373,0.15272863,0.12613614,0.12936923,0.17404969,0.25295076,0.33242187,0.37219954,0.34967402,0.28140542,0.20595758,0.15574759,0.13366938,0.12626876,0.12187918,0.12189735,0.12997468,0.14431156,0.15576708,0.15970188,0.15862478,0.16342519,0.17823778,0.1977139,0.20569801,0.19247665,0.16140524,0.12881042,0.10820571,0.101992875,0.10156817,0.09991621,0.09621209,0.09692856,0.10359601,0.1135332,0.118121915,0.116951875,0.113507934,0.116698064,0.1286337,0.15119386,0.18358588,0.22846718,0.2812606,0.33493778,0.37790945,0.40688065,0.41872868,0.41173673,0.38150486,0.33323267,0.28093037,0.2399847,0.21677893,0.21132247,0.22284961,0.2471832,0.2718269,0.28321293,0.2855537,0.29987332,0.34491232,0.40627325,0.44784248,0.43408915,0.36700633,0.2762586,0.2051717,0.17652206,0.1883228,0.21409321,0.22770165,0.21501108,0.1834984,0.14896426,0.1307352,0.13628583,0.16017783,0.18180765,0.1857971,0.17766045,0.18218338,0.22076471,0.2866602,0.3524258,0.38912842,0.3899373,0.3644186,0.3266187,0.285221,0.24533354,0.21376432,0.19272727,0.182036,0.17900954,0.18769795,0.20739828,0.2273159,0.22613145,0.19296364,0.13781147,0.0867672,0.06409585,0.078607626,0.12436355,0.18166597,0.22849889,0.24446486,0.2263724,0.18561077,0.14506766,0.119917385,0.11285489,0.113357075,0.1103702,0.0977725,0.0799892,0.06860807,0.07908604,0.12262287,0.198368,0.29077706,0.36832902,0.39962888,0.3676963,0.29250127,0.21814643,0.18963982,0.21385916,0.2618014,0.28886822,0.27368665,0.22197331,0.15925041,0.105882846,0.07363088,0.0616342,0.0652802,0.07649843,0.08830487,0.09437431,0.09295837,0.08852487,0.08951914,0.10069367,0.117566496,0.13057192,0.13268596,0.12554319,0.117431074,0.12193436,0.15036029,0.20484035,0.2685381,0.31279916,0.3139721,0.2724047,0.21233398,0.16159289,0.13415672,0.12343124,0.11818137,0.11035189,0.10272971,0.100885876,0.110275544,0.12662016,0.1385069,0.1326902,0.10865214,0.07759773,0.055789858,0.050211266,0.057246268,0.066324696,0.06837561,0.0631121,0.059776206,0.07197357,0.102735765,0.13995302,0.16232471,0.15818323,0.1316633,0.097205825,0.066038914,0.04281624,0.028621294,0.024372542,0.029428765,0.039724443,0.049385685,0.053495783,0.050468165,0.0413454,0.02947279,0.01832939,0.0109401345,0.009099819,0.014525522,0.028606089,0.049001005,0.06834478,0.07613662,0.06798337,0.04850663,0.029807134,0.023674682,0.037207488,0.07053413,0.11235446,0.14432001,0.14773668,0.12133115,0.07858093,0.040650617,0.017493213,0.0089598885,0.009235248,0.018537194,0.043093514,0.09263728,0.16833949,0.2562144,0.324501,0.34256765,0.30003724,0.21963519,0.14126857,0.0970208,0.093415625,0.113009654,0.13299054,0.13820617,0.13177742,0.12639935,0.13466182,0.15400685,0.16858156,0.16142298,0.12950711,0.08600828,0.048324134,0.026197461,0.017981617,0.016799219,0.017207963,0.017889775,0.020054711,0.02417463,0.028715491,0.031290587,0.031019514,0.028878003,0.026105821,0.023060156,0.019958662,0.018101206,0.018604642,0.021022541,0.022538021,0.02115188,0.016757008,0.011859571,0.0085986685,0.007970762,0.0092140725,0.010921664,0.011915096,0.011583056,0.010314812,0.008826659,0.008116555,0.008816275,0.010968861,0.013874623,0.016082989,0.016539065,0.014821238,0.011849762,0.008742974,0.0071175545,0.0083785355,0.014796775,0.027203614,0.04463355,0.06115626,0.070384085,0.067986846,0.05902454,0.05440484,0.06519773,0.09112892,0.1193678,0.1323071,0.121390335,0.09332383,0.06457089,0.048888486,0.048924282,0.05632968,0.05988051,0.053286303,0.03873839,0.023551432,0.015016414,0.01689659,0.027914569,0.042865768,0.054270163,0.0591843,0.06193651,0.07419408,0.10217715,0.14128344,0.17403726,0.18834072,0.18348838,0.17371655,0.16960366,0.1730113,0.17375594,0.16244458,0.13536257,0.09839892,0.061501786,0.033954706,0.019092336,0.014650598,0.0161565,0.022031365,0.035085827,0.05778502,0.08535847,0.104958266,0.10432897,0.08487322,0.063891664,0.06660406,0.10617567,0.17284769,0.23443256,0.25844866,0.23316215,0.17438145,0.10988455,0.06000514,0.030428039,0.01792969,0.018408343,0.029332256,0.047051173,0.06713199,0.08447372,0.09791718,0.10546414,0.10638257,0.09766928,0.08220599,0.06478873,0.05195381,0.04478663,0.040947128,0.03671073,0.030168952,0.023044331,0.019509947,0.025480116,0.042099983,0.06442589,0.080416895,0.08157157,0.06663427,0.044503342,0.024879219,0.014928151,0.016685357,0.029400304,0.04972898,0.070988774,0.087308824,0.09589183,0.100924045,0.106262974,0.112326466,0.11389702,0.10872736,0.10241595,0.10219586,0.109652095,0.11355754,0.10562194,0.08491695,0.06523588,0.05756463,0.06461529,0.07552874,0.077434175,0.06525571,0.04548056,0.032682523,0.039470617,0.07015621,0.11373898,0.14946522,0.15833323,0.1411018,0.115405045,0.10330578,0.110663675,0.13040905,0.14834672,0.15612449,0.14830893,0.12572582,0.0926683,0.059253838,0.035509545,0.030384352,0.04833847,0.09032466,0.14845352,0.20946337,0.25537017,0.27747282,0.27406344,0.25554904,0.22938567,0.20207848,0.17121585,0.1361801,0.09793799,0.06280302,0.03602882,0.019204212,0.010254748,0.0072043426,0.012041143,0.030408712,0.06715301,0.119315065,0.17640574,0.22508484,0.2583074,0.27378604,0.27196315,0.25293157,0.21869208,0.17666586,0.13536862,0.10367467,0.08235922,0.0687152,0.056818113,0.0465187,0.041884135,0.048365314,0.067042574,0.09370878,0.12131885,0.14080974,0.14362778,0.12544821,0.09151862,0.05471058,0.028352052,0.019581953,0.0291946,0.054167435,0.08729434,0.11737293,0.13230777,0.12720291,0.106984176,0.08248233,0.062327757,0.048568547,0.03945828,0.032525707,0.028114373,0.027306974,0.031548295,0.039563145,0.048249874,0.05298994,0.051533103,0.04438364,0.035248432,0.028087087,0.027138734,0.035824258,0.055504363,0.08381378,0.11588905,0.14880677,0.18038124,0.20456123,0.20964198,0.18869586,0.14991218,0.112970285,0.09270451,0.08787616,0.087942235,0.0857574,0.0838406,0.08541176,0.089007534,0.08702745,0.07630529,0.058828253,0.041348953,0.027445553,0.018077014,0.012473024,0.010964877,0.014689438,0.023389975,0.034845963,0.04472037,0.05027147,0.050677348,0.049758445,0.05336054,0.07071188,0.10266962,0.14084785,0.16370128,0.15937741,0.1292478,0.09303414,0.06620058,0.057208136,0.06340906,0.08152062,0.104738116,0.12414864,0.12873171,0.11503307,0.08831543,0.060235288,0.039148502,0.028544234,0.026945109,0.031055627,0.03630892,0.039692227,0.041607484,0.044435326,0.048729848,0.05084164,0.047412824,0.038976524,0.031211575,0.028706146,0.031758722,0.03574134,0.037533633,0.03817788,0.044303346,0.059436437,0.08214102,0.101828925,0.11080479,0.104931,0.09058583,0.073550254,0.059986398,0.05007386,0.04430568,0.04141012,0.04155217,0.04361945,0.046700656,0.049508464,0.052602023,0.058511857,0.070786886,0.08852112,0.10503999,0.109414525,0.09748008,0.07393442,0.05178183,0.040045317,0.040997107,0.04850493,0.055261552,0.055528015,0.048869792,0.03892008,0.032338273,0.034956306,0.049202796,0.07132761,0.0925329,0.10345603,0.10016173,0.086693026,0.071437426,0.06304911,0.06686614,0.08366525,0.10694492,0.12435884,0.12502672,0.10788119,0.08221382,0.05945027,0.046011373,0.045457896,0.06422984,0.1114631,0.18567681,0.2645892,0.31147137,0.3013926,0.2407456,0.16120978,0.09472332,0.05466797,0.03881209,0.039021447,0.0490012,0.060946614,0.06906176,0.06983346,0.068252,0.06902003,0.07438042,0.07755368,0.07442116,0.066356994,0.06429789,0.07320566,0.08898386,0.0967787,0.08975225,0.07114313,0.05448745,0.04613155,0.045534123,0.047249515,0.0526696,0.06593311,0.08704587,0.10568103,0.10884094,0.0930843,0.06764171,0.046183813,0.035002165,0.03125176,0.02896197,0.024944574,0.020052489,0.016302643,0.015945101,0.02055999,0.030063666,0.04140542,0.04906069,0.04977271,0.04488656,0.040381998,0.043462392,0.062116962,0.10430371,0.16884582,0.23837678,0.28023604,0.27227825,0.21805543,0.14746389,0.0892018,0.058193874,0.053770512,0.073471695,0.11113372,0.15641262,0.18985166,0.19735491,0.17509814,0.13647488,0.097644895,0.07115255,0.057657044,0.0528433,0.051459927,0.05179352,0.05389717,0.057671655,0.062052887,0.06538767,0.06696426,0.06675276,0.065479785,0.0629856,0.059060913,0.05372035,0.048976775,0.04693232,0.048264086,0.05143186,0.054537635,0.05770265,0.061068226,0.06497121,0.06794878,0.06999939,0.070630975,0.07019385,0.06973932,0.072343625,0.08131824,0.0964025,0.11237819,0.12265291,0.12357695,0.12009803,0.11797857,0.1218414,0.12517111,0.12338113,0.112151414,0.09704653,0.08104337,0.06940969,0.063033804,0.06448885,0.07397253,0.09358532,0.121893205,0.15151887,0.16665024,0.15583415,0.12109087,0.07931215,0.047055904,0.031643663,0.029041886,0.032016616,0.03377499,0.031805016,0.026942365,0.022822151,0.021993754,0.024136707,0.02663046,0.027349705,0.027877225,0.03299801,0.046720047,0.06637376,0.082485296,0.085172236,0.0726955,0.051854897,0.032747127,0.02234823,0.02572765,0.046802644,0.08570143,0.1312786,0.1633458,0.164412,0.13498591,0.09161553,0.054556917,0.032344934,0.023065789,0.022478318,0.032819863,0.059479576,0.10098621,0.1430278,0.16522084,0.15763678,0.12865761,0.10033729,0.0926803,0.11653706,0.16597335,0.22433043,0.265923,0.27572206,0.2515792,0.20774496,0.15832572,0.11380583,0.07833275,0.05400322,0.041597884,0.038264647,0.03876761,0.037425343,0.033696447,0.032215457,0.039636657,0.057215404,0.07924682,0.09598129,0.10170724,0.099402964,0.09885777,0.112602316,0.14252426,0.18080229,0.20762093,0.21203601,0.19126439,0.15642653,0.1176661,0.086455084,0.06919683,0.069227725,0.08106557,0.09580701,0.10435743,0.107172586,0.11158618,0.12797797,0.1552398,0.18135019,0.18912351,0.17405836,0.1435786,0.11285978,0.09098806,0.08196762,0.0824259,0.086490236,0.08602318,0.077758156,0.065011404,0.057028785,0.063370265,0.08599156,0.11708631,0.13947146,0.14179365,0.12447491,0.10166452,0.08560189,0.07994806,0.079501204,0.07846824,0.074862175,0.07018221,0.066824585,0.06666637,0.0692156,0.07367801,0.0777412,0.08091333,0.08203153,0.08130788,0.07808739,0.07231466,0.06482718,0.058106128,0.056826193,0.06300122,0.07473307,0.083972104,0.084988706,0.076616235,0.064545415,0.05549559,0.056714863,0.07475345,0.10936455,0.14964186,0.17357849,0.16725051,0.13237488,0.08981503,0.059164226,0.050620403,0.057968408,0.06924934,0.0726736,0.066101044,0.05564481,0.05347331,0.06700265,0.09665621,0.13402353,0.17044252,0.19810039,0.21382384,0.21688579,0.20946114,0.19416118,0.17469472,0.1594552,0.1610816,0.18539338,0.22091095,0.24178314,0.230986,0.19250876,0.1484244,0.11684591,0.10442078,0.10681894,0.11847281,0.13337828,0.14478981,0.14566831,0.13243923,0.11039331,0.092367806,0.094109155,0.121910185,0.1657844,0.20224297,0.21008402,0.18561833,0.14253703,0.09909126,0.06621809,0.04730102,0.044194315,0.056875277,0.08031399,0.10333004,0.11782932,0.12623431,0.14173597,0.17541765,0.2263664,0.27879092,0.31347346,0.31763926,0.29149505,0.24557143,0.1939252,0.14893638,0.117361195,0.10213291,0.10065516,0.105601214,0.10732973,0.10105798,0.089556895,0.079182915,0.07527698,0.083205126,0.111946024,0.16543472,0.23284893,0.2835201,0.29131052,0.2513269,0.18888535,0.13261916,0.102081984,0.09805933,0.11840526,0.15432835,0.19429624,0.21782489,0.21239688,0.17747001,0.12903415,0.08413431,0.05427028,0.03999032,0.03656398,0.037179086,0.037236635,0.034582213,0.03018962,0.02745189,0.031607803,0.046314906,0.06846275,0.08777211,0.09265262,0.08039255,0.058119867,0.03701902,0.023087136,0.01645562,0.0143385315,0.014980708,0.017211735,0.02009981,0.02266558,0.02588868,0.03266539,0.047951266,0.074586414,0.11042736,0.14569028,0.169114,0.1740133,0.16294356,0.1419665,0.11685413,0.09083214,0.06740427,0.04939417,0.037542228,0.031374115,0.03259485,0.046868127,0.07861686,0.12359277,0.16809191,0.19691992,0.20445152,0.19381417,0.17142862,0.14106183,0.107652426,0.07799864,0.058305893,0.04900234,0.04649246,0.047744583,0.054333936,0.06791252,0.08600087,0.098641306,0.097191304,0.08083956,0.060173545,0.048046842,0.049867406,0.06000487,0.06647235,0.062061265,0.048049018,0.033341322,0.025410837,0.02590847,0.030388124,0.032988112,0.03129709,0.026804544,0.022947019,0.021329679,0.021266585,0.02122914,0.020374179,0.018812815,0.016762719,0.014541433,0.012488837,0.011077722,0.010769361,0.01210929,0.015637869,0.021961795,0.03240039,0.048789244,0.0722884,0.099545084,0.12362236,0.13705154,0.1386255,0.13277748,0.12660009,0.12531276,0.13133997,0.14252876,0.1513407,0.1473384,0.12723212,0.0991798,0.080915906,0.08396543,0.1071235,0.13404237,0.14975958,0.14902316,0.14270395,0.14137052,0.14684041,0.14679842,0.13133179,0.100289546,0.06540692,0.038327057,0.025591306,0.028032072,0.042826056,0.066812046,0.09623361,0.13194181,0.16910826,0.19786745,0.20075701,0.17872955,0.15329874,0.15840411,0.20246065,0.25899124,0.28420487,0.255415,0.18751587,0.116009615,0.06888629,0.051140536,0.052416336,0.05943953,0.063521795,0.0623809,0.058968663,0.05949016,0.06662672,0.077988096,0.08713492,0.09226924,0.09641894,0.10743018,0.12666322,0.14996408,0.16611277,0.1693167,0.15778203,0.1353963,0.10601746,0.07638378,0.056240875,0.05488017,0.074508704,0.1055398,0.1310121,0.13676773,0.12135143,0.09598293,0.07546588,0.06791722,0.07249605,0.08298283,0.093942724,0.10201609,0.108363144,0.11749514,0.13670982,0.16779344,0.200841,0.2175101,0.2040659,0.16555248,0.120142125,0.087456845,0.07373633,0.07505501,0.082006425,0.08826155,0.09153917,0.092805706,0.09265668,0.08922575,0.08177302,0.072302215,0.06569857,0.063081585,0.06430606,0.07003323,0.08758517,0.11870676,0.15645012,0.17981844,0.17594121,0.14377645,0.10141567,0.065091304,0.045274924,0.03973801,0.04365307,0.05145578,0.05961736,0.065531254,0.070807114,0.08111631,0.10264834,0.13372023,0.16599081,0.19054985,0.20606394,0.21589835,0.22022294,0.21374266,0.18965594,0.15112936,0.11005413,0.08320484,0.08059869,0.10218372,0.13839142,0.17354052,0.19486205,0.19705655,0.18688817,0.17526926,0.16912107,0.16596685,0.15761411,0.13934195,0.11374774,0.089361824,0.07280722,0.06623185,0.069512844,0.085775524,0.11932369,0.16620286,0.20966291,0.22886918,0.216929,0.18422824,0.1484182,0.11885152,0.096760936,0.07998508,0.068191305,0.060838196,0.057312,0.057277128,0.06022173,0.06478504,0.068031214,0.06807723,0.06420365,0.05822296,0.05303894,0.051362753,0.05342686,0.056890626,0.06045727,0.06715179,0.08549419,0.12230659,0.17439182,0.22365713,0.24813087,0.23816681,0.20685278,0.18045503,0.18111719,0.2131486,0.26409042,0.31414032,0.3466567,0.35200098,0.32636917,0.2726204,0.20374973,0.14150496,0.10498777,0.098094404,0.10800662,0.1173762,0.11553035,0.10351544,0.0869169,0.07177987,0.05979536,0.051305447,0.04512656,0.041354686,0.039820302,0.04026023,0.041388527,0.044389512,0.054521818,0.07720196,0.10913819,0.13626254,0.14414065,0.13217448,0.11301544,0.100714274,0.097689636,0.09907857,0.100423634,0.101731986,0.10233752,0.097860746,0.08571786,0.069869995,0.0612852,0.06932452,0.09255868,0.11959169,0.1351338,0.1360146,0.1284001,0.12463277,0.12614599,0.12849157,0.1233105,0.11030244,0.093244515,0.08013883,0.07839871,0.09472688,0.12883383,0.17088543,0.202779,0.21048377,0.19125529,0.15571323,0.117740214,0.08914856,0.07676325,0.08380726,0.10646123,0.1318001,0.14227122,0.12928641,0.10034088,0.07682463,0.07653136,0.10565883,0.1501,0.18881112,0.19985716,0.18051088,0.14091963,0.10082918,0.07131619,0.058108464,0.06253054,0.08458624,0.11676258,0.1445425,0.15667798,0.15323289,0.14282644,0.1307689,0.11681023,0.10130849,0.09146445,0.09344408,0.10509822,0.11371159,0.11035427,0.09501898,0.07888945,0.071910955,0.08080795,0.105768405,0.14296067,0.1806392,0.20329611,0.20103127,0.18211353,0.16604246,0.16744132,0.17921795,0.18373956,0.17094563,0.15245165,0.14990722,0.1731875,0.21002488,0.23391892,0.23127337,0.21034189,0.19531393,0.19916277,0.21479744,0.22166115,0.20642084,0.17322041,0.13822588,0.11720028,0.11369005,0.12018577,0.12481344,0.12210513,0.11684305,0.11732141,0.12938304,0.15044822,0.17884697,0.20911314,0.23494141,0.24275441,0.22944368,0.20344298,0.18136019,0.16725011,0.15432765,0.13780148,0.12639849,0.13174944,0.155946,0.18901442,0.22311735,0.25287473,0.27393875,0.27487835,0.2506565,0.2091239,0.17486948,0.16934393,0.19635032,0.23285656,0.24796326,0.22252508,0.16538082,0.10357166,0.06665164,0.07220811,0.11601166,0.17652453,0.21864188,0.22285336,0.1904968,0.15058416,0.12723978,0.13061303,0.14645599,0.15878384,0.16089143,0.16757232,0.20281081,0.28239617,0.3914396,0.48723826,0.52348953,0.48743305,0.41083542,0.35159877,0.35434318,0.42303848,0.5218157,0.5991857,0.6214443,0.5831013,0.5031857,0.4049836,0.31088844,0.23598863,0.19035797,0.17204295,0.16976713,0.16709775,0.1544938,0.13274887,0.11115485,0.10208771,0.11638969,0.15887709,0.21924521,0.27522048,0.3037406,0.29983887,0.27763334,0.26169726,0.27272427,0.3154699,0.37198648,0.4052926,0.3849599,0.30982837,0.21134372,0.12851287,0.086017996,0.08717319,0.12017872,0.16291715,0.19019783,0.18568648,0.15174507,0.1060231,0.06726244,0.045209914,0.039620113,0.046259493,0.05881408,0.071755774,0.07993745,0.08180209,0.07782137,0.0715182,0.068255216,0.07506683,0.10010982,0.14728986,0.21131104,0.2696077,0.29391372,0.26862916,0.2134865,0.17461495,0.19698995,0.28745547,0.40751258,0.4934341,0.50035614,0.42739812,0.31644508,0.21768123,0.16433315,0.16165702,0.19609825,0.24069609,0.2644045,0.24591999,0.1898749,0.12375831,0.07904596,0.06740157,0.07985786,0.09636324,0.10451684,0.102159195,0.09742084,0.09884087,0.11121998,0.13027576,0.14489572,0.14424498,0.1269264,0.10318956,0.087851256,0.09185838,0.11815969,0.16064824,0.20440398,0.23135675,0.23142375,0.21075755,0.18421398,0.16386753,0.15240856,0.15444727,0.1774963,0.2253565,0.28111175,0.316951,0.31393304,0.27948943,0.23456287,0.1948387,0.1620969,0.13329874,0.107298404,0.08492863,0.06640167,0.05260116,0.045152992,0.04356229,0.043716222,0.0412188,0.036715683,0.036097676,0.04445687,0.059562694,0.071751095,0.07205721,0.059907883,0.04331549,0.03133253,0.027016914,0.027290007,0.027139343,0.024061881,0.019082176,0.01580954,0.018518658,0.028619492,0.04294056,0.053781364,0.054904412,0.046025097,0.034407225,0.029376889,0.035375297,0.048577785,0.05921795,0.05959356,0.048891727,0.03340913,0.020260984,0.013029273,0.010964885,0.011553131,0.012633027,0.013206185,0.013592112,0.015083904,0.01816308,0.021737173,0.023032263,0.020930372,0.016422244,0.012643966,0.011168678,0.011850205,0.012834468,0.013145086,0.012670421,0.012130289,0.011820001,0.011754345,0.011659223,0.011547343,0.011536916,0.011908128,0.012515846,0.012886595,0.012731171,0.012721837,0.0144592775,0.018297,0.022791723,0.025147269,0.026223771,0.030998796,0.0465342,0.07230469,0.09832227,0.10911507,0.09814172,0.071837805,0.0456688,0.02981516,0.025330378,0.026575534,0.030516138,0.037037674,0.04614046,0.0534671,0.05360737,0.045627225,0.036294874,0.03663251,0.05398323,0.08503876,0.11601881,0.13051166,0.12148562,0.09437645,0.06248079,0.036896735,0.024315355,0.0276378,0.047955066,0.080057584,0.113428295,0.13418378,0.13711189,0.12445136,0.10728801,0.09295362,0.08730919,0.08920866,0.097121514,0.10544213,0.110685475,0.10901911,0.10028535,0.083766185,0.0640457,0.049111217,0.05204697,0.07662376,0.11429155,0.14399599,0.15105599,0.13407062,0.10585631,0.08113559,0.070885204,0.07823583,0.09941613,0.12573503,0.14808352,0.16008364,0.15776207,0.14157823,0.117173284,0.09440356,0.079388216,0.0703493,0.061467186,0.05046162,0.04265743,0.045396376,0.062150687,0.0883297,0.11491408,0.13142337,0.13137905,0.112769544,0.08193012,0.048676398,0.023511322,0.009981161,0.007128522,0.012358379,0.026377976,0.052301586,0.09170693,0.13967584,0.18508448,0.21436192,0.22064821,0.20305787,0.16841595,0.12395421,0.08141046,0.050846014,0.040703636,0.049013507,0.0667758,0.08140997,0.087171346,0.0858028,0.083406754,0.08249142,0.08178096,0.0781841,0.07107368,0.06061391,0.04816715,0.034706935,0.022619804,0.014207307,0.013726632,0.027263312,0.06083757,0.110782474,0.15940696,0.18160878,0.16477638,0.11873523,0.069085374,0.037958324,0.032564644,0.04689869,0.067614995,0.08200395,0.08175931,0.07001915,0.058537666,0.06032842,0.07867422,0.10503634,0.12742461,0.13709702,0.13286929,0.115533985,0.08945739,0.060715284,0.03812777,0.026048886,0.022793368,0.021871932,0.018837864,0.01323837,0.007635156,0.004311034,0.004565638,0.008980417,0.01639879,0.024412602,0.02950342,0.031888917,0.03482059,0.045638397,0.069957174,0.1101403,0.15967529,0.2067969,0.23987281,0.25713468,0.26464868,0.26891246,0.2672689,0.25066832,0.2121133,0.15615484,0.09683975,0.049384713,0.020421816,0.007318867,0.003033527,0.0020778317,0.0019899916,0.0021686207,0.002748725,0.004946876,0.012603413,0.031661216,0.06681421,0.11426023,0.15981956,0.18361767,0.17434858,0.1360511,0.087521724,0.048609238,0.034315642,0.049003046,0.09142717,0.1479416,0.19938801,0.22287397,0.21184516,0.17340581,0.12647665,0.0841422,0.054373447,0.040243134,0.04584517,0.073044695,0.12069917,0.17995052,0.23839529,0.28050336,0.29972485,0.29584816,0.2754252,0.24097298,0.19488777,0.14458376,0.105449356,0.09523457,0.11786937,0.15918238,0.18966766,0.18711989,0.1506974,0.10321033,0.072928816,0.073922336,0.09834216,0.12337161,0.12851651,0.10820193,0.073245846,0.0399128,0.01891691,0.013433722,0.024120644,0.05043902,0.086532295,0.11766363,0.12805031,0.11225169,0.082184054,0.059249613,0.06210814,0.094190024,0.14329861,0.18655604,0.20633097,0.19802803,0.17238098,0.14212348,0.11428427,0.08822879,0.06263048,0.039567742,0.022714717,0.015021275,0.016148873,0.024761325,0.037828144,0.052205894,0.062668495,0.06504402,0.057027508,0.04194573,0.025501601,0.013489473,0.008777447,0.013901468,0.03315034,0.068106264,0.11171923,0.14527288,0.1516791,0.12707439,0.086088516,0.047872294,0.024195714,0.014353051,0.012807831,0.017408999,0.031876292,0.06262336,0.10801078,0.15591018,0.1848405,0.18262267,0.15318066,0.11984862,0.10446147,0.11530441,0.13857307,0.15464206,0.15251844,0.13897566,0.1265309,0.12093798,0.11594895,0.103374034,0.08091382,0.054666687,0.031850476,0.017661871,0.013179797,0.018742582,0.032552984,0.050698847,0.06538808,0.069921754,0.061835527,0.04588588,0.029076181,0.019131282,0.02387888,0.05356582,0.112160705,0.18603708,0.24415736,0.25930658,0.23362021,0.19675857,0.18293194,0.20098947,0.23464572,0.25440586,0.24460292,0.20874934,0.16931237,0.14346392,0.13446118,0.12836704,0.11364443,0.08792764,0.05995093,0.038597256,0.029511966]