[0.04002408,0.06264473,0.11183258,0.17160009,0.2253524,0.2672327,0.30259526,0.3376821,0.3683441,0.3872297,0.3925867,0.389908,0.37839434,0.35132003,0.3069162,0.26042846,0.23223285,0.22892807,0.23675776,0.23890662,0.23325597,0.23203357,0.24546546,0.26991916,0.29240564,0.302623,0.3010303,0.29524967,0.2927645,0.29476988,0.29773292,0.2979718,0.294565,0.28811464,0.27701882,0.25736788,0.22575039,0.18312049,0.13575299,0.09141237,0.057055876,0.03704745,0.03591997,0.055516403,0.092027724,0.13212992,0.15983428,0.16683142,0.16021745,0.15560113,0.16342025,0.18087934,0.19859673,0.21095145,0.21847387,0.22043562,0.21242489,0.19255544,0.17047013,0.1636853,0.18346108,0.22136807,0.2518233,0.25045308,0.21330698,0.16107349,0.12215436,0.11124744,0.11927577,0.12480983,0.11290494,0.086669095,0.06277306,0.05893602,0.083393045,0.13199012,0.19088423,0.2426932,0.27164742,0.26886538,0.235038,0.18241292,0.12997352,0.09400925,0.07905507,0.07891872,0.0868241,0.10413579,0.13772051,0.18997781,0.25080535,0.3031788,0.33295155,0.33771,0.32275248,0.29435983,0.25474223,0.20501237,0.15006225,0.09943283,0.064165585,0.05294748,0.07065015,0.11706685,0.18308772,0.2513717,0.3032677,0.33053783,0.3372103,0.33060703,0.31343555,0.28398907,0.24488866,0.20184664,0.16079037,0.12248051,0.087243624,0.056507856,0.033195153,0.018056443,0.0096137095,0.005276089,0.0031822491,0.002231903,0.0019236663,0.0019044569,0.002017082,0.0021903838,0.002436472,0.0027516962,0.003105838,0.0034393836,0.0036936959,0.0038117776,0.003740482,0.0034436507,0.0029552004,0.002463245,0.0031580655,0.008581401,0.02628473,0.0649906,0.12980342,0.21483903,0.30585256,0.3850087,0.44130304,0.47133896,0.4796728,0.47639868,0.47402862,0.48393252,0.50572366,0.52819115,0.5318542,0.50547457,0.45197454,0.3891529,0.3362713,0.30178073,0.2788761,0.253305,0.21579115,0.16760379,0.117529355,0.07456532,0.045000006,0.032380264,0.039579224,0.06664074,0.10932056,0.15781818,0.20174332,0.23339367,0.24956256,0.24778551,0.22648354,0.18799864,0.14338773,0.1103605,0.102920055,0.121671945,0.15052493,0.16895817,0.16317262,0.1363519,0.102774404,0.08334658,0.0927884,0.13390908,0.19044513,0.23659964,0.2506894,0.23111343,0.19475687,0.16741703,0.16686773,0.19624873,0.24138069,0.28284338,0.30535042,0.30605957,0.28695503,0.2500778,0.19753277,0.14015748,0.0982146,0.09144056,0.12645304,0.18951483,0.25336528,0.2881664,0.27946755,0.23281606,0.17077625,0.11500583,0.07682953,0.054475646,0.04154928,0.032321494,0.024395362,0.017268617,0.01141312,0.0072462577,0.0048120236,0.0036448892,0.003174552,0.0029983374,0.002955337,0.0029823284,0.0030381072,0.003091343,0.0031410416,0.003208938,0.0033135295,0.003452075,0.0035958013,0.0037163664,0.0037946599,0.0038368322,0.003861591,0.0039061885,0.0040037218,0.0041698855,0.0043732747,0.004549895,0.0046261493,0.004567377,0.004389997,0.0041508093,0.00491851,0.0114142215,0.033748295,0.08390432,0.1641304,0.26050183,0.34733883,0.40701577,0.4377797,0.45086136,0.45379028,0.4484717,0.4332178,0.40988675,0.38051155,0.3458711,0.30449286,0.25671995,0.2064236,0.16151509,0.13155879,0.123990156,0.13997115,0.1723734,0.20865422,0.23705225,0.2516789,0.25284883,0.2429802,0.22313361,0.19286454,0.15330409,0.111032724,0.078008376,0.06788177,0.08499298,0.1190662,0.14654458,0.14948738,0.12861566,0.10651091,0.107133366,0.13894635,0.18889405,0.2368031,0.26723298,0.2731141,0.25192758,0.20794739,0.15729144,0.12378024,0.123798884,0.15217721,0.18543744,0.19889967,0.18369174,0.15068822,0.1193757,0.10342472,0.10163254,0.10348773,0.09943057,0.0901829,0.08427613,0.09268185,0.12049217,0.16589238,0.21943815,0.27052978,0.3101075,0.33381963,0.33825174,0.32038128,0.28012738,0.2260045,0.17756037,0.15649621,0.17400636,0.21949512,0.26660395,0.28998744,0.28117934,0.24979895,0.20936666,0.16782932,0.12552409,0.08444331,0.05002473,0.029723294,0.027440056,0.040621713,0.06067873,0.07534942,0.07794639,0.071413144,0.06835691,0.07702189,0.09521542,0.11079443,0.11690513,0.116060995,0.1164197,0.12065482,0.12613837,0.13014953,0.13184692,0.13009013,0.123458505,0.117695086,0.12466816,0.15359561,0.19909537,0.24567519,0.27920654,0.29618955,0.2995715,0.2915738,0.2701584,0.23387635,0.18709762,0.14287467,0.114936434,0.11013637,0.12135825,0.13538949,0.1393727,0.12937506,0.10877625,0.0887916,0.083476566,0.102201186,0.1410865,0.18421178,0.21705462,0.23738158,0.25199482,0.26340535,0.2659957,0.25722012,0.24616683,0.24550955,0.2531563,0.2513528,0.22370256,0.17581521,0.13042586,0.10773,0.10670958,0.11005303,0.10111493,0.07767353,0.04959662,0.027666917,0.015620933,0.010751673,0.008852056,0.007584114,0.0067106523,0.007125681,0.010928919,0.022302995,0.048583906,0.09590768,0.16184437,0.22818081,0.26788816,0.26370454,0.2261235,0.19228943,0.19993408,0.26175967,0.3537445,0.43543336,0.47215274,0.45277748,0.38623688,0.29308823,0.19779128,0.122186184,0.08298662,0.084565185,0.11925278,0.1683976,0.21294115,0.24253194,0.2570938,0.26055565,0.249925,0.22024058,0.17177828,0.12009353,0.08658665,0.0873619,0.121712066,0.17456639,0.2252814,0.2595337,0.2744988,0.27625337,0.27156046,0.2635441,0.2516671,0.23555158,0.21807404,0.20594235,0.20902866,0.2321639,0.27200767,0.31356338,0.3414382,0.34482002,0.32581124,0.29474822,0.26570603,0.24517131,0.22754489,0.200689,0.15818904,0.10807502,0.06709068,0.050213594,0.06034429,0.08734057,0.11283606,0.12098977,0.108391196,0.08602025,0.07100313,0.073195726,0.087969355,0.10101799,0.101660736,0.09467556,0.09696958,0.12259551,0.16604368,0.20433688,0.21491154,0.19497485,0.1618148,0.13472731,0.120304406,0.11332365,0.113298744,0.1282574,0.16618289,0.21922953,0.26777527,0.29473242,0.29817465,0.28715155,0.27054068,0.25084373,0.2252988,0.19185144,0.15281497,0.11732593,0.09743515,0.101658754,0.12864065,0.16797572,0.20655231,0.23512375,0.2509124,0.25611374,0.2560933,0.2555088,0.2554567,0.25121453,0.2371872,0.2119299,0.18036507,0.14924666,0.123655,0.10739716,0.1059427,0.12411889,0.16216105,0.21072917,0.2565817,0.28706932,0.29721972,0.28635824,0.25899208,0.22325976,0.19356544,0.18322937,0.19723581,0.22652979,0.25750664,0.2811031,0.29689837,0.3039149,0.29594043,0.2658058,0.21527427,0.15775977,0.10894462,0.077456884,0.06085089,0.0521944,0.04531988,0.03815807,0.030536765,0.023108907,0.016402427,0.011160448,0.007852052,0.0063715572,0.006079573,0.006295427,0.0066703875,0.0071451124,0.0076925815,0.008139077,0.008207693,0.0077090673,0.006696788,0.006794768,0.012766473,0.03380812,0.07787787,0.14433497,0.21703641,0.2722545,0.2908492,0.2722757,0.233241,0.19872858,0.18626104,0.19764416,0.22066058,0.23935889,0.24327885,0.22941543,0.20054008,0.16352843,0.12803954,0.10170409,0.08539439,0.073186465,0.0600622,0.04863085,0.050156858,0.074516855,0.120100774,0.16884796,0.1980084,0.19639577,0.17539185,0.15775771,0.15742081,0.1664074,0.16692185,0.15244378,0.13861744,0.14686944,0.182975,0.22767676,0.25301242,0.24205612,0.19914071,0.14422578,0.10086415,0.085356146,0.099218704,0.12971829,0.15876849,0.17520423,0.18108411,0.18423408,0.18770678,0.18373103,0.16355209,0.12614071,0.08262683,0.04558934,0.022317695,0.0110033555,0.006795684,0.005205369,0.0050100167,0.008774992,0.023660325,0.058938447,0.11856256,0.19496536,0.2708522,0.33044586,0.368045,0.38718018,0.3930029,0.38833687,0.37575004,0.35980448,0.34560418,0.334897,0.32524967,0.31176218,0.2904401,0.25928572,0.22052868,0.18070363,0.14982742,0.13415398,0.13117753,0.13078444,0.12503439,0.116712905,0.116027914,0.13158758,0.16015188,0.1907444,0.21008576,0.21198012,0.19581588,0.16705163,0.13360591,0.10631872,0.0942313,0.0996568,0.114586376,0.12457826,0.118854724,0.09665173,0.0669349,0.03984588,0.021301659,0.011137613,0.0065775965,0.00469768,0.0038617374,0.0034100914,0.0031739017,0.0031005482,0.003135903,0.0032579068,0.0034758488,0.003805726,0.0042240475,0.004674015,0.005089659,0.0054288562,0.0056917206,0.005891649,0.0060277767,0.006046165,0.0058904295,0.005541459,0.0057800133,0.009486839,0.023238696,0.055284847,0.11029724,0.18131864,0.2492332,0.2898316,0.2914518,0.26396587,0.23580672,0.22988325,0.24631488,0.26142332,0.25325784,0.22233665,0.19384658,0.19372733,0.2276485,0.2747827,0.30589825,0.3015292,0.2641934,0.21158613,0.16587807,0.13984877,0.13349862,0.13705926,0.14256497,0.14824842,0.1566772,0.16492014,0.16464926,0.14839494,0.119564116,0.09257963,0.08367691,0.100058995,0.13395767,0.17016809,0.19563551,0.20737652,0.2072198,0.19590996,0.17219947,0.14002942,0.113240294,0.10699221,0.12664707,0.16038282,0.1906602,0.20485182,0.2029137,0.18989183,0.17065227,0.14674343,0.11953347,0.09146609,0.06542647,0.04364519,0.026990332,0.015638085,0.008896803,0.005656332,0.0044673085,0.004189404,0.004152535,0.0041352487,0.0041212966,0.0041518933,0.0047948086,0.007469278,0.01522712,0.032088537,0.06314554,0.1126346,0.18107152,0.26107576,0.33651826,0.3903649,0.41390732,0.4135299,0.40275303,0.39315668,0.38636115,0.377627,0.35984084,0.32868472,0.28650185,0.2453811,0.222465,0.22740002,0.25409487,0.2862135,0.31039843,0.32252634,0.32353866,0.3148711,0.29833364,0.27851525,0.26032552,0.24500448,0.22719695,0.19918405,0.15890923,0.116272785,0.08961394,0.092658676,0.124250114,0.16805081,0.20568013,0.22613102,0.2287202,0.21534176,0.18847631,0.15277918,0.11998158,0.103571534,0.11072626,0.13530368,0.16416122,0.1852638,0.19534457,0.19710456,0.19627671,0.19727659,0.20283379,0.21301691,0.2261353,0.23908442,0.24712197,0.24393336,0.22439194,0.19084726,0.15524246,0.1346312,0.1380443,0.15956676,0.1802873,0.18482839,0.17313157,0.16044961,0.16008985,0.16911711,0.17157418,0.15633136,0.13102223,0.11268339,0.110721506,0.115990736,0.11495086,0.10356528,0.09363854,0.09792287,0.11977414,0.15008612,0.17822237,0.19779576,0.20850088,0.21097596,0.2070198,0.19911794,0.19123656,0.18399654,0.17428575,0.1583143,0.13909756,0.1250342,0.12216914,0.12644283,0.12904996,0.12743415,0.12809391,0.13721748,0.14978682,0.1539933,0.14220957,0.11971036,0.098565556,0.08907349,0.092464834,0.10175336,0.10580856,0.09668595,0.07481687,0.048239004,0.026348682,0.013432249,0.008144132,0.0066456054,0.006213805,0.0058022947,0.005415591,0.0051652957,0.005074916,0.0050365594,0.004984811,0.0049125873,0.0048901993,0.00496319,0.0051433537,0.005376929,0.005576636,0.005643995,0.0055427793,0.005323687,0.0051001334,0.0049778544,0.0049892236,0.0050941277,0.005196927,0.005221848,0.0051369765,0.0049751103,0.004787238,0.0046056802,0.004434074,0.0043126233,0.0050986614,0.009815997,0.025575632,0.061157625,0.12057233,0.19317679,0.25552675,0.28422096,0.27499893,0.24394584,0.21232808,0.18829775,0.16509254,0.13486849,0.10092018,0.080168694,0.093026035,0.14785057,0.23070501,0.3069554,0.34324995,0.32551304,0.26660487,0.1919774,0.12674217,0.08799181,0.0832747,0.10997317,0.15423712,0.19842704,0.2286777,0.2419114,0.2421958,0.23534863,0.22326727,0.20523746,0.18065892,0.15267655,0.12728047,0.11237871,0.114498325,0.13682836,0.17595272,0.22272678,0.26597205,0.29713306,0.31119525,0.30465275,0.27620193,0.22931005,0.17440553,0.12399667,0.08805466,0.071224235,0.077545874,0.110086165,0.16905709,0.24362755,0.3135592,0.35358718,0.34709418,0.2935101,0.21133363,0.1273939,0.06350744,0.026728014,0.012126795,0.012536377,0.027322901,0.06196611,0.118392624,0.18326753,0.22939949,0.2331698,0.1973537,0.15292233,0.13790993,0.1671771,0.22444284,0.27690578,0.3013272,0.29349947,0.26334962,0.22113289,0.17389345,0.1262776,0.08389015,0.051037848,0.029145472,0.016351303,0.0097135855,0.0066174413,0.0054073515,0.0050846427,0.0051318742,0.0052808863,0.005445236,0.0055977753,0.00572956,0.0057831104,0.006036421,0.008423061,0.01875854,0.04699944,0.100842565,0.17500114,0.24474792,0.27957913,0.2656968,0.22373225,0.19149713,0.19664295,0.23098218,0.2636813,0.26394317,0.2260996,0.16680016,0.1131013,0.08693252,0.0986073,0.14468227,0.2083499,0.26776555,0.3062889,0.32162103,0.320169,0.31087008,0.2980026,0.28385505,0.26759765,0.24775474,0.22438379,0.20308988,0.19228049,0.19434154,0.20041807,0.19606598,0.17431743,0.14213583,0.11438192,0.101222105,0.10170988,0.10684744,0.10866309,0.10616544,0.10585561,0.115949176,0.1398893,0.17293452,0.20552808,0.2290091,0.2392688,0.23497312,0.21636873,0.18593456,0.15103619,0.11971191,0.09617192,0.07707239,0.059536427,0.045395512,0.043246344,0.057196554,0.08245269,0.10450042,0.11177352,0.10183418,0.0829779,0.06421149,0.050025776,0.038936254,0.02898374,0.019749472,0.012549363,0.007976602,0.0056914613,0.00469698,0.00433013,0.0042834394,0.004506053,0.0049592317,0.0055200974,0.006018287,0.00627988,0.006280282,0.0061076875,0.005905638,0.005687156,0.0053406437,0.004705722,0.0038554089,0.0039915037,0.0091632055,0.02655062,0.062206447,0.11215652,0.15942486,0.18293945,0.17565311,0.15009506,0.12721688,0.11703848,0.11532306,0.11428591,0.1156056,0.1283134,0.15862207,0.20102145,0.24210198,0.26852372,0.2736518,0.25697395,0.22354312,0.18472214,0.15691876,0.15297005,0.17143242,0.19471316,0.20093238,0.17921948,0.1359071,0.08717286,0.047902647,0.026144972,0.025296995,0.047043998,0.09061995,0.1498983,0.21359551,0.26923668,0.30685017,0.319657,0.3038719,0.26190448,0.20709078,0.16299169,0.15189691,0.17824186,0.2221611,0.25113624,0.24337338,0.20085423,0.14398678,0.09325882,0.057789013,0.03573521,0.02198829,0.013069175,0.007449537,0.0043037813,0.0027960364,0.0022547368,0.0021775693,0.0022599683,0.0023348785,0.0023536887,0.002319049,0.0025649637,0.005354664,0.0164565,0.043837797,0.08968411,0.14331208,0.18410756,0.19914442,0.19661206,0.20119552,0.2315026,0.28554603,0.34416044,0.38657224,0.39933708,0.377148,0.32486823,0.2587519,0.20432995,0.17712902,0.17275913,0.16727848,0.14315616,0.10139058,0.062816925,0.049409386,0.073928766,0.13353105,0.21047314,0.27703634,0.30654803,0.2880508,0.23070727,0.1579215,0.093361646,0.05311823,0.043456,0.061420698,0.09534552,0.12835884,0.15038556,0.16568838,0.18911032,0.22830796,0.273213,0.30145204,0.29530898,0.25452495,0.19547768,0.14067632,0.10502645,0.089564435,0.086029254,0.087762885,0.096762,0.118587315,0.15395905,0.19285764,0.22111888,0.22760963,0.21329075,0.19002403,0.17781003,0.19116068,0.23138843,0.28137627,0.31758258,0.31987438,0.28457138,0.22430183,0.16616988,0.13577121,0.14331357,0.17566776,0.20672798,0.21452862,0.1920621,0.14850083,0.10113246,0.06835662,0.059562504,0.07169671,0.089950375,0.09875322,0.090422265,0.06928547,0.045205444,0.026468575,0.015211011,0.009429612,0.0063190074,0.004390635,0.003283155,0.0028850914,0.003007438,0.0034046762,0.0038857248,0.004282687,0.0044475244,0.004298069,0.0038787052,0.004149528,0.008566839,0.024573652,0.061429914,0.12369496,0.20495419,0.2880911,0.35507473,0.39581966,0.41240072,0.41226533,0.40449974,0.39508358,0.3891742,0.3881329,0.39104006,0.393968,0.39420316,0.3908852,0.3865601,0.38406694,0.38367558,0.37884653,0.3609353,0.3284891,0.29376683,0.27382946,0.27218404,0.27380088,0.2580784,0.22151518,0.17871696,0.14917797,0.1401912,0.1485274,0.16893895,0.19845223,0.23238714,0.26045656,0.27215886,0.26294717,0.23656893,0.19991326,0.15846594,0.11616907,0.076744795,0.04463984,0.022386028,0.009889288,0.0053755958,0.009229208,0.025968254,0.0602705,0.10935682,0.1578177,0.18472493,0.17764044,0.14352132,0.10561261,0.089387774,0.10786509,0.15490562,0.21067125,0.2531897,0.2688657,0.2561952,0.22575104,0.19904132,0.20082645,0.24386406,0.31493035,0.38052043,0.40871003,0.38955817,0.33639845,0.27315995,0.22130536,0.19146056,0.18175083,0.17968625,0.17286222,0.1562983,0.13418819,0.11131269,0.08977094,0.07254057,0.06907391,0.09073422,0.13723509,0.19062422,0.22433896,0.22520514,0.20248704,0.18060283,0.17462629,0.1801117,0.17821594,0.1591859,0.13246,0.11976755,0.13339217,0.16377586,0.18704481,0.1831158,0.1509657,0.10555384,0.065404125,0.039616175,0.026536502,0.020545308,0.017558612,0.01636021,0.0155020775,0.01383957,0.01073069,0.007357672,0.004869498,0.0038681512,0.0039050188,0.0043977755,0.0048652496,0.0050992197,0.005019977,0.0046487357,0.0042896275,0.0063379514,0.017077198,0.0474012,0.105300404,0.18825984,0.27770314,0.35064122,0.391639,0.4026984,0.39412132,0.3754253,0.3494196,0.31881323,0.2910231,0.2756729,0.27630925,0.28615424,0.29433343,0.29385033,0.28579438,0.27513453,0.26806775,0.26758102,0.2733737,0.27837467,0.27448508,0.25593722,0.22514917,0.18857451,0.15501158,0.13274707,0.13020037,0.15106773,0.1900397,0.23080082,0.2553503,0.25609007,0.24232982,0.23161058,0.23309852,0.24129574,0.24316986,0.23279786,0.21279122,0.18940748,0.1662315,0.14721186,0.1371182,0.14015138,0.15485509,0.17646128,0.1989823,0.2188822,0.23247953,0.23596174,0.22477303,0.19734906,0.15802626,0.11904522,0.096559726,0.101270266,0.13126655,0.1723601,0.2085281,0.22866227,0.22905378,0.21048534,0.17969422,0.14962405,0.13352072,0.13822575,0.16065101,0.1951291,0.23457742,0.27149343,0.29553437,0.30041292,0.28736237,0.2631261,0.23281388,0.19686317,0.15518561,0.11191043,0.077690795,0.06706557,0.09087747,0.14655426,0.21145451,0.2535515,0.25163752,0.21487463,0.17624372,0.17154889,0.21293545,0.28412902,0.34960368,0.37736318,0.3544817,0.29164597,0.21271886,0.13943715,0.08355894,0.046438605,0.025020843,0.014370603,0.010016312,0.008182955,0.0068441513,0.005416998,0.005357945,0.012674074,0.041768957,0.112864606,0.23637252,0.39443204,0.5385752,0.62179846,0.6314945,0.6004298,0.5698154,0.5588169,0.5501806,0.51798457,0.44830883,0.35755178,0.2774949,0.23689131,0.23797353,0.26253703,0.28800514,0.30495703,0.31360707,0.3149152,0.30556834,0.2846298,0.26004735,0.24775405,0.25868967,0.286226,0.3064896,0.29782486,0.26083103,0.22090138,0.20454697,0.2181353,0.24163483,0.2512197,0.23458888,0.20000078,0.16263075,0.1378855,0.13315736,0.14937897,0.18037014,0.2160151,0.24729228,0.2703708,0.2888106,0.30699623,0.3262689,0.3408766,0.3459117,0.3404182,0.3303808,0.32063353,0.31140164,0.29622075,0.26780245,0.22409172,0.17273915,0.1285025,0.103424996,0.09879636,0.104515545,0.10997662,0.11268568,0.120813034,0.14381017,0.18410105,0.23287804,0.27620658,0.30225894,0.30627763,0.28901112,0.25392163,0.20565875,0.15215398,0.106432475,0.08457249,0.09608299,0.13388892,0.17493886,0.19488692,0.18590075,0.1586933,0.13184981,0.11762003,0.11923758,0.13372868,0.155756,0.1803749,0.20414932,0.22645187,0.2467577,0.2634946,0.2742051,0.2777538,0.27556106,0.26984277,0.26173243,0.24895288,0.2273698,0.19368605,0.14989255,0.10320902,0.06306278,0.03527073,0.020078672,0.013341188,0.010465716,0.00918141,0.011229039,0.023765413,0.057860345,0.122496426,0.21268111,0.30479595,0.3670832,0.38268366,0.36143067,0.3296027,0.3083916,0.30732843,0.328259,0.37033585,0.41989923,0.452358,0.44239855,0.38457346,0.29434863,0.20035093,0.12985212,0.10128144,0.11739709,0.16405882,0.21445556,0.2435444,0.24102508,0.21784675,0.19575171,0.19204761,0.20766105,0.2309205,0.24774532,0.24946094,0.2348548,0.20857622,0.18064512,0.1579046,0.14141323,0.12590371,0.115193814,0.12205249,0.16168018,0.23061055,0.30695423,0.36142883,0.37886122,0.3612779,0.3210974,0.2672596,0.20550717,0.14135954,0.08485508,0.043982357,0.02078902,0.0110258,0.011333478,0.023872199,0.05523851,0.11057854,0.18761206,0.27431056,0.34906587,0.38673759,0.3717529,0.31347767,0.24759962,0.21247588,0.22087784,0.24893944,0.26280203,0.2472555,0.21878517,0.20218945,0.20597143,0.21515025,0.2098486,0.1870151,0.16199268,0.15529631,0.17761965,0.22584373,0.28615567,0.3369569,0.361765,0.3597531,0.35059902,0.35522172,0.3775115,0.4007063,0.40268412,0.37171057,0.31101444,0.23848303,0.17812721,0.14807288,0.14723845,0.16034186,0.17451434,0.1926495,0.2256429,0.27631947,0.33242366,0.37539265,0.3932431,0.38562322,0.3606422,0.32863137,0.2976301,0.2715187,0.24856554,0.22395091,0.1938715,0.1625696,0.14074783,0.13944231,0.16264273,0.20875096,0.2733395,0.34661528,0.4098047,0.43913534,0.42087698,0.3603073,0.27856687,0.19843829,0.1342734,0.08985222,0.062061276,0.045327548,0.03421124,0.025274688,0.01728324,0.010665811,0.006092315,0.003610302,0.002621603,0.0023884985,0.0024607948,0.0026702818,0.0029773482,0.0033338673,0.0036863529,0.00397879,0.0041688676,0.0041917707,0.003999298,0.0036659564,0.004014716,0.00807633,0.022195572,0.05494526,0.111013,0.18445247,0.25534937,0.29812804,0.29727358,0.26177526,0.22465783,0.22107883,0.26410162,0.33276305,0.3923469,0.41737878,0.40732238,0.37598953,0.34066495,0.313435,0.2991984,0.29311416,0.28115943,0.25037292,0.19836593,0.13648795,0.08022914,0.03999579,0.017051782,0.0068981596,0.006316018,0.017921971,0.051702786,0.11337364,0.19479947,0.2685401,0.3092557,0.31311092,0.30458224,0.31043974,0.33481672,0.3595122,0.3671956,0.36027345,0.34982574,0.33907875,0.32048574,0.29380676,0.27608174,0.28724945,0.32652104,0.3632436,0.360715,0.30513638,0.22044505,0.14786324,0.11696141,0.12554348,0.14738734,0.1540682,0.13396102,0.09558332,0.055727795,0.026941782,0.011552744,0.0055083353,0.0040638596,0.00651228,0.0181416,0.0492299,0.10882953,0.19589734,0.2942171,0.3778446,0.4222138,0.41556248,0.36322403,0.28651288,0.212662,0.16015418,0.13032481,0.11258957,0.10112121,0.099485286,0.112950504,0.13530368,0.15204416,0.15454888,0.1493121,0.15370215,0.1799494,0.2272377,0.28029487,0.31995824,0.32989416,0.30437008,0.24824528,0.17715688,0.11177834,0.07212357,0.06965727,0.101394325,0.14955871,0.18979819,0.20735492,0.20448822,0.19440238,0.18399201,0.17017156,0.14839657,0.12544937,0.1130611,0.115118496,0.12038493,0.11583992,0.10231317,0.09699106,0.11998055,0.17533411,0.24672408,0.30293635,0.3209649,0.30033678,0.2692914,0.25803676,0.27556896,0.29809144,0.29848948,0.27080408,0.23676108,0.21750462,0.21395558,0.20963232,0.19366753,0.17306888,0.16462989,0.17677407,0.2019679,0.22274916,0.22498329,0.20513321,0.17103554,0.13645983,0.11557263,0.116736084,0.13851152,0.16797058,0.1858434,0.17754829,0.14270343,0.09571534,0.05432704,0.02879812,0.01778851,0.014513616,0.013010502,0.011019743,0.008609624,0.006291823,0.0044226567,0.0031191015,0.0024705858,0.0023657384,0.0025893755,0.0028812746,0.0031362048,0.003386774,0.0037535827,0.0042484757,0.0047473474,0.005040663,0.0049966113,0.0046270695,0.0041554305,0.004977999,0.012446458,0.036620293,0.08776623,0.162625,0.24076839,0.29343846,0.31133497,0.3084574,0.3095319,0.3185376,0.3216424,0.3029918,0.26735672,0.22965127,0.19958775,0.17250903,0.14318897,0.11768609,0.11159884,0.1348433,0.18098438,0.2319334,0.27124405,0.29260668,0.29827604,0.2924492,0.28008398,0.26401785,0.2447101,0.21694815,0.17904061,0.13859166,0.11270183,0.11292285,0.13396338,0.15597759,0.16010755,0.14295053,0.11699042,0.09780281,0.091397785,0.09171944,0.0911994,0.08942997,0.09468585,0.11669594,0.15887822,0.21562608,0.2734802,0.3191441,0.34486148,0.35150316,0.34337536,0.3235382,0.29203027,0.24993974,0.20370866,0.1653115,0.14428644,0.14008193,0.1397559,0.12909319,0.10288157,0.069223635,0.040110078,0.02264709,0.015261079,0.012698987,0.010710973,0.008202713,0.0056973044,0.0039465646,0.0031155683,0.0029963292,0.003208923,0.003439402,0.0034977526,0.003343032,0.003474924,0.005954953,0.016395448,0.043128323,0.0919292,0.15599276,0.21459413,0.24449117,0.23972662,0.21518998,0.19220568,0.17926492,0.1722198,0.16613089,0.16395296,0.17137532,0.19003569,0.21501237,0.23641412,0.24188931,0.22380233,0.18765981,0.15418933,0.14399052,0.16105156,0.1852922,0.19182633,0.17061193,0.13736673,0.11594983,0.11881579,0.1350938,0.14391968,0.13275646,0.10980472,0.095215686,0.104535915,0.13609047,0.17444533,0.20265311,0.21210234,0.204512,0.18722217,0.17009832,0.16017042,0.15985312,0.16495375,0.17218508,0.18163215,0.19743596,0.21900916,0.24344492,0.2670817,0.29115745,0.3137431,0.3302103,0.3339285,0.32530078,0.30912042,0.2904438,0.2691052,0.24257863,0.2113382,0.18316154,0.16910599,0.17558289,0.1967981,0.2191631,0.22939187,0.22293873,0.2030663,0.1784085,0.15930073,0.15450712,0.16628025,0.18758197,0.2049676,0.20588942,0.18540762,0.14844541,0.1079315,0.079829335,0.07616943,0.09767276,0.13109829,0.15741797,0.16534175,0.16112457,0.15855151,0.16462958,0.17000128,0.16355684,0.14505853,0.1284231,0.12650132,0.14061551,0.16243815,0.1826076,0.19718395,0.20431405,0.20205206,0.18770464,0.16363777,0.13935775,0.1271479,0.13044304,0.1397063,0.14060336,0.12981181,0.11620512,0.109722614,0.108757906,0.10584728,0.09989724,0.10016143,0.11642027,0.1476183,0.18360086,0.21317779,0.23214741,0.24146141,0.24362838,0.24009782,0.23236422,0.22329928,0.21651335,0.21509683,0.21985678,0.22894748,0.23854351,0.24498427,0.246601,0.24327016,0.23541218,0.22399966,0.21354401,0.21098702,0.22146396,0.24016751,0.25340688,0.24541204,0.21062922,0.1569314,0.10085172,0.05660035,0.030357778,0.021647843,0.028569942,0.0482911,0.07508568,0.099580884,0.11525524,0.12281933,0.12803389,0.13371666,0.13599579,0.13159342,0.12491817,0.12918615,0.15254289,0.18965842,0.22241358,0.23818034,0.23870605,0.23808438,0.24482428,0.25665924,0.2635773,0.2608623,0.2487302,0.22930105,0.200876,0.16353989,0.12304165,0.09032193,0.07339683,0.07159185,0.077636056,0.08323234,0.08549589,0.087148756,0.09445276,0.10963871,0.12693484,0.13406457,0.12237994,0.09408233,0.060821056,0.034040067,0.018046157,0.010344639,0.0067166276,0.0046167253,0.0033010468,0.002614742,0.00234518,0.002269576,0.002256791,0.0022652883,0.0022873988,0.0023290003,0.0024028278,0.0025253969,0.0027062718,0.0029526427,0.0032513868,0.0035830692,0.0039073518,0.0042051063,0.0044530644,0.0046310686,0.004684961,0.0045770486,0.0043032444,0.003916611,0.0035216867,0.0038260797,0.0073213927,0.019448766,0.047239173,0.09482688,0.15860456,0.22690052,0.28604567,0.327484,0.3522941,0.36838868,0.38527012,0.4040588,0.4148195,0.4014679,0.36013043,0.30702975,0.27047214,0.26550353,0.28268823,0.29606792,0.28552043,0.24773113,0.19350374,0.13685447,0.08780295,0.050993484,0.026708685,0.013019756,0.006532738,0.0040802476,0.0032973401,0.003664357,0.007458431,0.020617254,0.050842073,0.10013331,0.15745682,0.19990861,0.20860578,0.18553776,0.15562786,0.14505208,0.15827008,0.17526805,0.1757407,0.16236222,0.1568052,0.1762143,0.21414147,0.2522576,0.27760983,0.29296145,0.30378655,0.30911657,0.29928172,0.2673589,0.21723936,0.16652434,0.13586777,0.13549976,0.15677853,0.18121324,0.19648755,0.20428379,0.21297157,0.22507624,0.23553245,0.23738627,0.22946681,0.21562506,0.20253795,0.19482957,0.19426794,0.1982785,0.20353837,0.20660473,0.20626669,0.20144258,0.19303723,0.18209393,0.16986072,0.15467517,0.13433571,0.10804475,0.0802231,0.059516575,0.056845482,0.07847338,0.121002145,0.16887473,0.2029829,0.21040066,0.19232476,0.16085492,0.13272248,0.12168524,0.13281703,0.15902258,0.18273936,0.18616349,0.16289173,0.121679045,0.07909663,0.04799405,0.033288304,0.034669224,0.05278109,0.08955104,0.14420037,0.20842099,0.26825202,0.31159958,0.33448622,0.3397937,0.33036903,0.30460227,0.26142386,0.2081179,0.16391942,0.14709085,0.16157514,0.19154863,0.21705683,0.22853617,0.2294581,0.22496414,0.21335952,0.19040658,0.15710808,0.12451164,0.10722547,0.11576905,0.14794995,0.1893666,0.21843843,0.21948953,0.19161129,0.15071256,0.11767402,0.10323951,0.10260115,0.1042854,0.10661199,0.117666,0.14607413,0.18623377,0.22434096,0.24759829,0.25450876,0.2493558,0.23628427,0.21542089,0.18756427,0.15898357,0.14116548,0.14323841,0.16491865,0.1969923,0.22823434,0.25041485,0.2576712,0.247078,0.22162764,0.19253159,0.1720872,0.16502279,0.1673255,0.17248665,0.17765619,0.17996049,0.1764825,0.16762261,0.16397373,0.18111457,0.22462964,0.28207347,0.32713363,0.3405646,0.32170662,0.28989658,0.26664984,0.26070857,0.2639964,0.26396754,0.2558705,0.24444515,0.23391698,0.2224127,0.20302665,0.17257094,0.13472858,0.099777974,0.07848499,0.07685798,0.09312221,0.11982616,0.14828019,0.17153537,0.1845315,0.1833138,0.166278,0.13592412,0.099281035,0.0649394,0.03915393,0.023435151,0.015295916,0.011030843,0.008046671,0.005549791,0.0037053472,0.0026892219,0.002338852,0.0023158093,0.0023786866,0.0024329973,0.002497242,0.0026100122,0.0027990465,0.0030544708,0.0033418136,0.0036191067,0.0038641456,0.0040802453,0.004283544,0.0044753216,0.0046272534,0.0046869614,0.0046040677,0.0043617855,0.0039840075,0.0035355156,0.0030754355,0.0026685689,0.0027477925,0.0051573026,0.014654831,0.03895437,0.084791236,0.15042561,0.21989234,0.26856756,0.27842724,0.2534854,0.21601312,0.188713,0.17557825,0.16447347,0.14396717,0.11944017,0.11146625,0.1377635,0.19815874,0.2699996,0.32427225,0.3392496,0.31361017,0.2629207,0.21558428,0.19716245,0.21751936,0.26078773,0.29497692,0.2919745,0.24743704,0.18242186,0.12900396,0.10745105,0.115291975,0.13167703,0.13812017,0.13143724,0.12267447,0.1202772,0.12106169,0.11496234,0.09808991,0.07604569,0.057226673,0.044133443,0.034725334,0.026451156,0.019906813,0.015690433,0.013495882,0.011716143,0.009707381,0.0075559863,0.005795885,0.0045658187,0.0038226612,0.0034334406,0.003338231,0.003481868,0.0037805077,0.0041256086,0.004423948,0.004636921,0.0047459975,0.0047275857,0.0047235913,0.0068784095,0.017782802,0.049787477,0.1135703,0.20656352,0.3036714,0.3674971,0.37090817,0.31898004,0.24829622,0.20418958,0.21318251,0.2677282,0.3357911,0.38003626,0.38085702,0.34309173,0.29072508,0.24595954,0.21517141,0.18879287,0.15958355,0.13215001,0.11961591,0.12574305,0.14217159,0.15321098,0.15225314,0.14506294,0.1496535,0.18175836,0.24397998,0.3178294,0.3741628,0.3890777,0.35698998,0.29041198,0.2116813,0.14537615,0.10970488,0.110218674,0.13656507,0.17054097,0.19804849,0.21614248,0.22962828,0.24419224,0.26120606,0.277977,0.2892259,0.2921271,0.28721353,0.277164,0.2620228,0.24050915,0.21442683,0.18998855,0.17220207,0.15842317,0.14234833,0.122402795,0.10534707,0.09704169,0.095029436,0.0914614,0.0862074,0.090357244,0.11689683,0.16433784,0.21391559,0.24009697,0.22860336,0.18385865,0.124900855,0.0715928,0.03529924,0.016081603,0.008323818,0.005771678,0.0049228645,0.0052663204,0.010083648,0.026709283,0.06262847,0.11703729,0.17537145,0.21674472,0.23215276,0.23364401,0.24361567,0.27030697,0.29950067,0.30835554,0.28934416,0.2554095,0.22446865,0.20206845,0.18063043,0.15393884,0.12570794,0.10464581,0.09311485,0.08549043,0.07729682,0.0735367,0.085664056,0.11972329,0.16678113,0.20656626,0.2209021,0.20774595,0.18291534,0.16723631,0.17062104,0.18364508,0.18836556,0.1718381,0.13794568,0.10126209,0.07829007,0.0746589,0.08409223,0.092965804,0.09289623,0.086289816,0.08239811,0.08645146,0.09482652,0.10071615,0.10101571,0.09715929,0.09020225,0.0810891,0.075195126,0.08279852,0.110744655,0.1532589,0.19550978,0.2249219,0.24076223,0.24942142,0.25556266,0.256236,0.24601465,0.22519214,0.20253026,0.18848206,0.18407641,0.1799323,0.16546781,0.1415602,0.11978218,0.11343711,0.12721813,0.1574906,0.19432421,0.22548427,0.23800343,0.22513737,0.18965656,0.14338955,0.098981045,0.064518616,0.041568264,0.028131371,0.020980006,0.017257148,0.014848433,0.01254294,0.010028487,0.0075477115,0.0055178204,0.0041437256,0.003409169,0.0031357713,0.003154687,0.0033248996,0.0035958916,0.003924037,0.00425593,0.0044747894,0.0045166365,0.0044229296,0.0043457015,0.0044135363,0.0046480447,0.004973198,0.0052767848,0.0054538273,0.0054174513,0.0051348335,0.004684355,0.0051290467,0.010100357,0.025895126,0.057124425,0.09859202,0.13438559,0.14647329,0.13122334,0.10234266,0.08345926,0.09105742,0.12696476,0.17650168,0.21567918,0.22441708,0.20079774,0.16690315,0.15509005,0.18518184,0.24996574,0.32160544,0.37496898,0.40236568,0.41502056,0.42528626,0.43579492,0.43423724,0.40506625,0.3421743,0.25974518,0.18824111,0.15543252,0.16803198,0.20591271,0.2418381,0.25787333,0.2530861,0.23090954,0.19616295,0.15701286,0.12864901,0.124272384,0.14333239,0.17152166,0.18975975,0.18645042,0.16126604,0.12561753,0.09741678,0.09136915,0.10995859,0.14165868,0.17293942,0.19729596,0.21687017,0.23126484,0.23491232,0.22290362,0.20243365,0.19175237,0.20617746,0.24298382,0.2781215,0.28356075,0.24705833,0.18421048,0.12555498,0.09661632,0.10021216,0.11893856,0.12928437,0.11833963,0.0901087,0.060181294,0.044823766,0.052234966,0.07866568,0.11223779,0.1398135,0.15801118,0.17373575,0.19904071,0.23747452,0.28214547,0.31924117,0.33797655,0.3322576,0.30166277,0.25190538,0.19770801,0.15807645,0.14655702,0.16312362,0.19679086,0.23351502,0.2614794,0.27196482,0.25998047,0.22666842,0.18062349,0.13552178,0.10655939,0.104108125,0.12992668,0.17427765,0.22232108,0.26116276,0.28656986,0.3001196,0.30400273,0.29694852,0.27511394,0.2367718,0.18497108,0.12950855,0.0825186,0.053489294,0.043196198,0.0442284,0.046298504,0.0425784,0.03293928,0.021239696,0.011892121,0.0065229232,0.0045124497,0.0041845376,0.0043898188,0.004675793,0.005027669,0.0055059134,0.006074129,0.0066002426,0.006908039,0.006867548,0.0064404495,0.0068466156,0.012864542,0.0347147,0.08270091,0.15810193,0.24625397,0.32712388,0.38774216,0.42929915,0.4550289,0.46515605,0.45836142,0.43842265,0.4096866,0.37171412,0.32381433,0.27338144,0.23493491,0.21796753,0.21933846,0.22822064,0.23536164,0.23670514,0.23290165,0.22758472,0.22717987,0.23441195,0.24498205,0.24741404,0.2317162,0.19556274,0.1457767,0.09444534,0.052692685,0.027649174,0.021060124,0.031166276,0.05178385,0.073048845,0.08419893,0.08233785,0.07667672,0.084777,0.11678497,0.16460182,0.20336686,0.21063416,0.18314534,0.13907824,0.10251463,0.085931964,0.08529829,0.08706728,0.08223034,0.07231908,0.06917417,0.08274585,0.11367909,0.14977229,0.17729525,0.18876691,0.1874941,0.17932485,0.16710298,0.14956592,0.12719564,0.106512584,0.09603547,0.1002878,0.11437444,0.13027541,0.1412664,0.14598471,0.14250079,0.12871085,0.10419231,0.07646297,0.05801026,0.059076298,0.07977912,0.110156536,0.13721712,0.15225403,0.15403812,0.14532894,0.12953208,0.1090715,0.08800328,0.07301285,0.07148225,0.08632652,0.11248282,0.13939457,0.15641057,0.15889078,0.14894249,0.13467126,0.12649615,0.13224888,0.15288858,0.1808784,0.20566088,0.21802227,0.2137322,0.19229035,0.15724598,0.115818016,0.07732677,0.05049764,0.041567784,0.053803373,0.08604739,0.130834,0.1756782,0.20851678,0.22431187,0.2268667,0.22469984,0.22360633,0.22223556,0.21351068,0.19244139,0.16273586,0.13791798,0.1318016,0.14884268,0.17973556,0.21023504,0.22956277,0.23437458,0.22428147,0.20148736,0.17301677,0.14999606,0.1388997,0.13499938,0.12783882,0.114433855,0.102369934,0.10074366,0.108167715,0.1154216,0.11452615,0.10611404,0.09615139,0.090999864,0.09509946,0.11105382,0.1385598,0.17190439,0.20057005,0.21360572,0.2053293,0.17754953,0.13785313,0.09560824,0.05885684,0.032012876,0.015720917,0.0075713615,0.004332731,0.0033199869,0.003115804,0.0031325296,0.0032105295,0.0032865375,0.0033457957,0.0033897606,0.0034479361,0.0035395008,0.0036537573,0.003751884,0.0037894696,0.0037628652,0.0037061505,0.0048223264,0.010923247,0.029075459,0.065094136,0.1167658,0.17062753,0.207608,0.21490262,0.19287348,0.15575711,0.12344882,0.11307322,0.12990832,0.16494994,0.20003147,0.21743529,0.20897676,0.17824616,0.13851023,0.105130725,0.08729107,0.082918875,0.08194988,0.07502214,0.05989641,0.04097978,0.02414071,0.012684935,0.0065933424,0.0041371207,0.003442528,0.0033089416,0.003221947,0.0030684068,0.0028944497,0.0030080953,0.004828829,0.011818656,0.029336587,0.061385095,0.106800176,0.15733178,0.20197682,0.23268564,0.24906711,0.2562973,0.26064584,0.26435873,0.2653742,0.26108792,0.25168955,0.24012728,0.2268771,0.20907201,0.18269809,0.14847533,0.11143762,0.07871332,0.056777257,0.051396374,0.065181635,0.09231642,0.1181544,0.12770696,0.11964881,0.108810216,0.11376337,0.1400401,0.17529659,0.20118725,0.20521842,0.18748929,0.1555312,0.121051975,0.09346896,0.077517,0.07055014,0.066161074,0.058681797,0.04682584,0.03355799,0.02417844,0.024740173,0.040198155,0.07222053,0.11718219,0.1661622,0.20851533,0.23565137,0.24467222,0.23797591,0.2223227,0.2052211,0.19223346,0.18494321,0.18251169,0.18550198,0.19668604,0.21737371,0.2404418,0.25108948,0.23535906,0.19174606,0.13303839,0.07773897,0.038978238,0.02031532,0.019726522,0.034218635,0.06084471,0.094527446,0.12768696,0.15287478,0.16618879,0.16904645,0.16687064,0.16585736,0.16908461,0.17503798,0.17959076,0.17973553,0.17523842,0.1674981,0.15683298,0.14310034,0.1267088,0.11121357,0.099428274,0.09274429,0.089278094,0.0904657,0.098329134,0.11331306,0.12734492,0.13251692,0.1283002,0.126238,0.13759273,0.16384809,0.19382824,0.2145419,0.21938676,0.2107452,0.19369955,0.17156895,0.14472903,0.11393472,0.082004055,0.05336104,0.031503942,0.01755994,0.0102832345,0.007330198,0.0064908783,0.006334839,0.006213101,0.006139356,0.0075273844,0.014061838,0.030715065,0.058787208,0.09124148,0.115778506,0.12532888,0.12683545,0.13369931,0.15376152,0.18033147,0.20270658,0.21230294,0.20824517,0.19176835,0.17016907,0.1552161,0.15961374,0.18654776,0.22803403,0.27135953,0.3063912,0.3260001,0.32272425,0.29051635,0.23328084,0.16886532,0.12433199,0.117510855,0.14784177,0.19473283,0.23640688,0.25955406,0.26576543,0.26082692,0.25092,0.23904854,0.2278899,0.21782124,0.20581275,0.18638317,0.15664597,0.120677166,0.0892213,0.07543545,0.08805118,0.12705663,0.18246639,0.23977129,0.28618816,0.3150076,0.32382652,0.31136256,0.27716345,0.22490342,0.16623281,0.11836793,0.09624705,0.10269006,0.12585418,0.14606528,0.14817397,0.13091461,0.10617587,0.08979282,0.08908237,0.09817643,0.10490752,0.104035705,0.10478833,0.12174585,0.16032702,0.20753781,0.2427638,0.25306132,0.24205726,0.2221253,0.20118964,0.17820805,0.14817722,0.11168563,0.07484214,0.045035142,0.02500465,0.01357054,0.007812578,0.0056167007,0.006982283,0.0152506605,0.03712729,0.07733182,0.1323505,0.18621095,0.2185921,0.21626659,0.1841163,0.14142613,0.11053932,0.10268835,0.11498037,0.1380587,0.16565083,0.19623083,0.22512071,0.2416699,0.23515081,0.20658775,0.17046261,0.14431846,0.13530593,0.13474515,0.12817572,0.106718205,0.07496639,0.043552574,0.021619944,0.010337737,0.006504062,0.0058771423,0.006234541,0.006630583,0.0067970864,0.0066065807,0.006142607,0.0057037347,0.0067589185,0.013979104,0.036641143,0.08500892,0.16029263,0.24699144,0.31584442,0.34298614,0.32597014,0.28606924,0.24825014,0.22226714,0.19961746,0.1693602,0.13499454,0.11253286,0.116853826,0.14697103,0.18909091,0.22674167,0.2507422,0.25788015,0.24690467,0.21827696,0.17939258,0.14604798,0.13394223,0.14643128,0.1724189,0.19610514,0.20907466,0.20946755,0.19683486,0.16962986,0.13274974,0.09941438,0.08376863,0.089511074,0.106933154,0.12218776,0.12617125,0.11891156,0.10509019,0.09128946,0.08364144,0.087642156,0.10527358,0.13349533,0.16518925,0.193884,0.21674968,0.2343433,0.24812765,0.25796542,0.26316687,0.26257813,0.25800434,0.2524487,0.24978727,0.2502602,0.25079143,0.24568228,0.22986601,0.20206869,0.16755556,0.13879468,0.12996827,0.14890794,0.19100392,0.24167575,0.2843295,0.30753055,0.30698898,0.28328684,0.24056937,0.18598945,0.12943618,0.08034344,0.044613034,0.022851067,0.011988465,0.007697553,0.0065804846,0.0066489186,0.007098192,0.0076232366,0.008087226,0.008356157,0.00840155,0.00829498,0.008157521,0.008024485,0.007821471,0.007454594,0.006912365,0.006287882,0.00689912,0.012567046,0.03050456,0.0657587,0.11521994,0.16381486,0.19469656,0.19937317,0.18393059,0.16000062,0.13790105,0.12260892,0.11818239,0.126908,0.14793876,0.17412114,0.19643193,0.20845085,0.20986533,0.20279293,0.18851097,0.16757213,0.14421378,0.12724344,0.12468206,0.13674985,0.15571034,0.17213374,0.18131901,0.18326592,0.17914744,0.16889258,0.1520345,0.13030699,0.1081126,0.0919027,0.08608883,0.09197664,0.1070076,0.12857717,0.15325707,0.17716433,0.194333,0.20115758,0.1984697,0.19226329,0.18837334,0.18845,0.18920268,0.18667264,0.17968474,0.16923682,0.15486686,0.134466,0.107964545,0.08076165,0.062331494,0.06124547,0.08176067,0.12189048,0.17289473,0.22042792,0.24897267,0.25080368,0.22957592,0.19932748,0.17518078,0.16722725,0.17624836,0.19376695,0.20606738,0.20003895,0.17201938,0.12863807,0.08376926,0.04862011,0.027590854,0.0177806,0.014204317,0.012952611,0.012454568,0.012335128,0.01276023,0.014929389,0.021879802,0.037612673,0.0629301,0.091232784,0.11038662,0.11102998,0.09557038,0.07684608,0.07028623,0.08380371,0.11539382,0.1536156,0.18218358,0.1871021,0.16561909,0.13101918,0.10526734,0.105153,0.13081713,0.16760999,0.19742529,0.20916207,0.2014553,0.17823915,0.14515813,0.10984055,0.082918726,0.07658438,0.09594204,0.13385554,0.17016149,0.18508585,0.17050888,0.13693823,0.10382334,0.08679876,0.08725401,0.09472249,0.09674352,0.08845512,0.074763395,0.06540861,0.06802173,0.08289495,0.10169103,0.1128741,0.110954486,0.10301856,0.10172851,0.11343655,0.13094212,0.1429488,0.1457486,0.14663653,0.15473723,0.17030962,0.18457794,0.18594258,0.17029946,0.14337502,0.118843555,0.10813958,0.11266196,0.12227567,0.12518711,0.11821035,0.107114874,0.09781464,0.089130886,0.07816309,0.06863821,0.07431973,0.10744438,0.1675815,0.23608916,0.28755257,0.3028737,0.2805591,0.23447134,0.18494558,0.14650242,0.12093556,0.10115554,0.07975633,0.056845527,0.037207637,0.025228724,0.020571195,0.020380707,0.021719629,0.023164026,0.024784684,0.029090762,0.041954562,0.07048031,0.11600787,0.16810082,0.2060581,0.21221663,0.18456475,0.1400673,0.101900525,0.08460774,0.0874294,0.101518124,0.12126318,0.14721267,0.17950737,0.20943874,0.22202359,0.20693858,0.16842973,0.12348803,0.09047785,0.07747913,0.079025716,0.08234582,0.077394165,0.062827334,0.04454413,0.029412737,0.020538032,0.016965821,0.016270077,0.016807528,0.018325055,0.022095444,0.03087909,0.0487386,0.07880023,0.11913121,0.15962379,0.18541898,0.18742557,0.17146623,0.15549602,0.15589637,0.17535013,0.20374584,0.22875465,0.24454944,0.25252792,0.25562897,0.25505665,0.24918616,0.2376455,0.2214232,0.20296127,0.18174468,0.15596215,0.12495636,0.09388834,0.072125584,0.068315454,0.0841163,0.11227882,0.13971306,0.15417878,0.14922613,0.12763081,0.09983328,0.08081692,0.0806427,0.098305844,0.12041345,0.13235767,0.12892306,0.1180858,0.112441786,0.118926466,0.13542205,0.15459599,0.17013617,0.17916723,0.18212122,0.18115614,0.17776142,0.17158572,0.1601565,0.14286591,0.123494804,0.11120235,0.113870144,0.1330987,0.1608267,0.18625711,0.20149298,0.20690024,0.20728779,0.206731,0.20308644,0.18931186,0.16062157,0.12093413,0.08281328,0.059164282,0.05446012,0.06255431,0.07248274,0.07997169,0.09104263,0.11706481,0.1575555,0.19672658,0.21147084,0.19514386,0.16087098,0.13061784,0.11312079,0.10286111,0.0918558,0.081831664,0.080319785,0.08980063,0.10306644,0.11040636,0.10853105,0.10374991,0.10449027,0.113662444,0.124323964,0.12645678,0.114030935,0.09084871,0.065445825,0.045793474,0.033936296,0.028336704,0.026036648,0.024998238,0.023784677,0.021716505,0.018903391,0.016091853,0.013996511,0.012916986,0.012708697,0.013077523,0.013651249,0.014074638,0.01409316,0.013727722,0.013281657,0.013160814,0.013559833,0.014361621,0.015286364,0.016942134,0.022591645,0.039002363,0.07320929,0.12453663,0.17926149,0.21474232,0.21495079,0.1828834,0.14112686,0.11614785,0.12155255,0.14887428,0.1751523,0.17889965,0.15624489,0.12274688,0.10137123,0.103361316,0.12056077,0.13382952,0.13219662,0.1220074,0.11885538,0.13134854,0.15306938,0.17055732,0.17294537,0.15897807,0.13349904,0.106226824,0.08540791,0.07576942,0.074276,0.07537355,0.07514375,0.07646528,0.08546842,0.106672525,0.13762017,0.16935055,0.19097365,0.1951403,0.18063945,0.15139024,0.114222,0.07716515,0.047981605,0.03315294,0.03605431,0.055131454,0.08251747,0.10745853,0.12297725,0.13155623,0.14028333,0.15265173,0.1636424,0.16889794,0.17147322,0.18129213,0.20173748,0.22572112,0.23922098,0.23368521,0.20841129,0.17140341,0.13430235,0.10801348,0.095589034,0.09104836,0.08807992,0.08803964,0.0992545,0.12485645,0.1571127,0.18251826,0.19375026,0.19390751,0.19213219,0.19563375,0.20651014,0.22298777,0.2424099,0.26155865,0.27602193,0.28066894,0.2744069,0.2608399,0.24679072,0.23447119,0.22356053,0.21193975,0.20075624,0.18979318,0.1774232,0.16143183,0.14347504,0.13035055,0.1287673,0.14127444,0.16246508,0.18489473,0.20139389,0.20850928,0.20334792,0.18624705,0.16181411,0.1399058,0.13044126,0.1381914,0.16005397,0.18668951,0.20822479,0.2193378,0.22170359,0.2204174,0.21945977,0.21887468,0.2162776,0.20993252,0.200327,0.19002755,0.18197726,0.17886132,0.18099333,0.18533169,0.18541925,0.17593546,0.15605737,0.13024959,0.10470026,0.08536435,0.077177934,0.08420307,0.10658642,0.13894485,0.17035769,0.19019671,0.19194017,0.17571972,0.14569627,0.10853692,0.07156177,0.041234303,0.021038035,0.010299296,0.00583485,0.00426194,0.0038655933,0.0045053377,0.0071724355,0.013902135,0.028009137,0.053511202,0.0924389,0.14200772,0.19356845,0.23635967,0.26243433,0.27100548,0.26752007,0.26048285,0.25654098,0.25849953,0.26541552,0.27454188,0.28279594,0.28749824,0.28694192,0.28017175,0.26693806,0.24762349,0.22479741,0.20241123,0.18372929,0.16787793,0.15246738,0.13741185,0.12718064,0.12565665,0.13158886,0.13867396,0.14028002,0.13261218,0.11532498,0.09191155,0.070229694,0.0593241,0.06322646,0.07781374,0.094655685,0.10829712,0.11783863,0.12435796,0.1277139,0.12839635,0.12890993,0.1320532,0.1371787,0.13906895,0.13227747,0.11559955,0.094049476,0.074042894,0.059189275,0.048314318,0.040321812,0.036927488,0.041829932,0.05493475,0.069942564,0.077820726,0.073181674,0.05820054,0.04066923,0.029836195,0.03199202,0.047983423,0.07272363,0.09788977,0.11648744,0.12538427,0.123800166,0.11134157,0.08876494,0.061285093,0.038239483,0.029978797,0.04214123,0.07303492,0.11256754,0.14702648,0.1663412,0.17053933,0.16794918,0.16697462,0.16905366,0.16894996,0.16064364,0.14232753,0.11738319,0.092311405,0.07404157,0.066737674,0.06980688,0.07724265,0.08132749,0.077462114,0.06866361,0.06412464,0.07224241,0.09274181,0.11443004,0.12335518,0.11249674,0.08716903,0.058818553,0.037031848,0.024007464,0.017030725,0.012431025,0.008545038,0.005298843,0.003074759,0.001871162,0.0013787838,0.0012382112,0.0012326121,0.0012713913,0.0013360212,0.0014265957,0.0015471404,0.0016974552,0.0018740554,0.0020608956,0.0022384438,0.0023814328,0.0024745567,0.0024997368,0.002446411,0.0023053756,0.0020854948,0.0020597924,0.0030543662,0.007579816,0.02168226,0.05553107,0.11996289,0.2156927,0.3283764,0.4314908,0.5044942,0.53996104,0.54454786,0.52964646,0.51048476,0.50064164,0.5041025,0.51013285,0.50540966,0.48746446,0.46548375,0.44235432,0.40884915,0.3534728,0.28258166,0.22150391,0.19709772,0.21496944,0.25262797,0.278111,0.27610272,0.26042756,0.25713655,0.2777014,0.31021628,0.33460018,0.3439486,0.3435968,0.3389822,0.32807854,0.31255868,0.30588496,0.32469407,0.36781326,0.40774572,0.40838242,0.35402966,0.2650595,0.1823049,0.13683303,0.12868382,0.13365094,0.12671456,0.10031393,0.06463098,0.0351006,0.023554264,0.03636672,0.07449132,0.12911421,0.18112147,0.21137016,0.21788402,0.21843684,0.23591518,0.27636805,0.32735777,0.37012938,0.39549932,0.40100932,0.3851237,0.34226426,0.27485672,0.19785772,0.13963874,0.12263521,0.15301745,0.21356386,0.28018406,0.33355677,0.370311,0.39410236,0.41085365,0.42182553,0.42611992,0.4174191,0.38754117,0.33172223,0.25900754,0.18905713,0.13983057,0.11425223,0.10220543,0.094529815,0.09099159,0.097450316,0.114570744,0.1365867,0.15607814,0.17043912,0.18300612,0.20019747,0.22826059,0.26597917,0.30171195,0.31545064,0.29261628,0.23397414,0.1581331,0.08845859,0.0409288,0.016745618,0.0083356565,0.0065139937,0.0061971718,0.005640169,0.0048332405,0.004401334,0.0068920427,0.018325845,0.0483398,0.10445673,0.18436813,0.26969886,0.33298144,0.35238895,0.3283377,0.282847,0.24469036,0.22936691,0.23488557,0.2511988,0.2724607,0.29743788,0.3239038,0.3448561,0.3519344,0.33903793,0.30682418,0.2651613,0.23393077,0.22898614,0.24725382,0.26115325,0.24389209,0.1943949,0.14451309,0.13035877,0.16315646,0.2188616,0.2584007,0.2550874,0.21124667,0.15135513,0.10304174,0.078241445,0.072033174,0.07309135,0.079719566,0.10001761,0.13977243,0.18768479,0.21843858,0.21231174,0.17177315,0.12140425,0.089152016,0.08958901,0.11559284,0.14802934,0.16921337,0.17744406,0.18211721,0.19406861,0.21313523,0.2351371,0.25744691,0.281971,0.30684865,0.32491305,0.32781744,0.31152585,0.27858195,0.23573291,0.19217145,0.15349491,0.12058607,0.09045302,0.06230293,0.038051624,0.0204461,0.00987512,0.004638612,0.0024761737,0.0017095734,0.0014624363,0.001373547,0.0013507316,0.0013767941,0.001446464,0.0015513301,0.0016926642,0.0018758094,0.002137176,0.002519497,0.0030437503,0.0036449248,0.0041619865,0.004396705,0.0042341785,0.003796742,0.003553887,0.004426918,0.007833214,0.01679687,0.03754538,0.079093166,0.14612742,0.22804074,0.29660803,0.31985652,0.2867851,0.21790047,0.1555522,0.13584708,0.16831227,0.22936594,0.27900732,0.28498766,0.24487276,0.18590908,0.14905451,0.16114394,0.22206157,0.30453697,0.37801984,0.42445302,0.44747743,0.4569579,0.4597311,0.45408264,0.43901238,0.4174318,0.39617398,0.37941858,0.3655809,0.34723142,0.31581762,0.26962128,0.2195918,0.18758644,0.1911884,0.22834404,0.27626386,0.31134045,0.33024898,0.34681985,0.36991313,0.3838048,0.36281708,0.29718032,0.2110917,0.14435762,0.124501705,0.14737557,0.1844923,0.20646854,0.2030939,0.18870832,0.18477188,0.19852678,0.21443371,0.2101865,0.18031502,0.14056703,0.112244725,0.10197232,0.103567034,0.110629044,0.12777263,0.16326134,0.2182775,0.28055444,0.33237377,0.36037433,0.3623948,0.3448211,0.3170915,0.286086,0.2549413,0.22473885,0.1974547,0.17500348,0.15713702,0.14080836,0.12523653,0.11637569,0.123852484,0.15381563,0.20066261,0.25120708,0.2897222,0.3080729,0.30492732,0.28433415,0.25125438,0.21300782,0.18246444,0.17335497,0.19005668,0.21786587,0.23116653,0.21182728,0.1627024,0.10358972,0.054428324,0.024328927,0.010339846,0.005497167,0.003997532,0.0034305826,0.004117746,0.009588683,0.027203383,0.06548075,0.12777285,0.20523377,0.27681592,0.31740955,0.31118056,0.26165313,0.192662,0.13967076,0.1333927,0.18697552,0.2879369,0.40336657,0.49097618,0.5181842,0.47679552,0.38704863,0.2866803,0.21158808,0.17921466,0.18303587,0.19832867,0.19960463,0.17409079,0.128578,0.07962829,0.043056235,0.02592617,0.027953535,0.045470905,0.075107306,0.11607742,0.16828918,0.2291305,0.29024598,0.34180084,0.377799,0.39847556,0.40345904,0.38967884,0.35553232,0.31090787,0.27201322,0.24848135,0.2323068,0.20780714,0.16754097,0.12139427,0.089253366,0.089800514,0.12745826,0.18764089,0.23789334,0.24989508,0.21825098,0.16914,0.1374781,0.14124049,0.16806948,0.18894173,0.18232505,0.14737979,0.10080618,0.062267993,0.045869824,0.057204578,0.09323541,0.14167762,0.18352272,0.2040805,0.20235266,0.19371246,0.19630061,0.21925597,0.25497362,0.28941685,0.30985335,0.31364712,0.3035479,0.28544983,0.26235458,0.23468083,0.20056789,0.1603197,0.119829886,0.091569595,0.09025746,0.12484256,0.19017883,0.26534528,0.32043466,0.33190766,0.29427725,0.22331424,0.14587624,0.08765051,0.06439519,0.08042062,0.13002004,0.19645496,0.25573978,0.28307593,0.26871747,0.22213088,0.16846363,0.12883587,0.11139387,0.10969765,0.11660788,0.12965137,0.15181999,0.1824333,0.2156983,0.24208428,0.25372985,0.24594201,0.21846588,0.17765202,0.13578661,0.106596835,0.09563772,0.09758594,0.09968605,0.094081014,0.08363,0.08125004,0.09731188,0.13140824,0.17086644,0.2018242,0.21702988,0.2179973,0.20889415,0.19401897,0.17663305,0.15920104,0.14204343,0.12561645,0.113583185,0.11104655,0.11759535,0.124135174,0.12027162,0.10449511,0.08556923,0.07313746,0.06949601,0.07071987,0.07453374,0.084230036,0.10432398,0.1346653,0.16830023,0.19738306,0.21669693,0.22499722,0.22044532,0.20152502,0.17034559,0.13815348,0.12167365,0.13354276,0.17118286,0.21629782,0.24615832,0.24743444,0.22302698,0.18495901,0.14770314,0.12260404,0.12001795,0.14411128,0.18984537,0.24023516,0.27679753,0.2877597,0.27410838,0.24227363,0.20126535,0.16020408,0.13277833,0.12993981,0.15255366,0.18543057,0.20816964,0.20757331,0.18537487,0.15374047,0.12704411,0.114305176,0.11471105,0.12056024,0.12589163,0.13636775,0.16327043,0.21043141,0.26178744,0.2939348,0.29154634,0.2594835,0.21207523,0.16338927,0.119921066,0.08387975,0.055176407,0.03352117,0.018381959,0.0091518825,0.0045677484,0.0029548027,0.0027013004,0.0029139556,0.003289356,0.0038289323,0.004547212,0.005381146,0.006157569,0.006640471,0.0066390955,0.006114969,0.0053546573,0.0067237765,0.01692639,0.047782943,0.10860034,0.19513965,0.28310907,0.3390973,0.34252772,0.30223748,0.25342962,0.23088811,0.24369831,0.26599142,0.26320937,0.22095315,0.1598378,0.11427465,0.106731616,0.13354069,0.17483263,0.21041785,0.2294311,0.22992146,0.21386723,0.18468182,0.14702654,0.107022695,0.07101945,0.04469877,0.03472443,0.050538044,0.10143524,0.18741341,0.2908168,0.38065386,0.42955288,0.43215808,0.40674767,0.38093856,0.37120244,0.37457964,0.3737853,0.35180655,0.3032823,0.23755212,0.17350316,0.12959397,0.114505135,0.121856116,0.13450505,0.13774787,0.12998158,0.12213811,0.12286279,0.12962683,0.13196301,0.1275499,0.12648317,0.14256375,0.17748338,0.22061495,0.26001737,0.2919483,0.31632385,0.32751104,0.31642818,0.28216824,0.23931736,0.2082934,0.19976918,0.20859683,0.22166334,0.22825462,0.22288279,0.20329978,0.17098379,0.1338442,0.105061494,0.0941315,0.099208325,0.108285576,0.111438684,0.11080804,0.11979502,0.14954036,0.19716139,0.2447552,0.2731327,0.2737437,0.2523763,0.21917272,0.1832897,0.15074715,0.12830141,0.11922327,0.12094346,0.1265887,0.13441032,0.15299398,0.1927415,0.25343943,0.31514648,0.3526304,0.34938505,0.31114343,0.25411236,0.19587755,0.14422505,0.10179874,0.06782205,0.04238497,0.024959253,0.0147767635,0.0099401595,0.008259928,0.007727155,0.007188787,0.006345175,0.005904868,0.008996162,0.024280747,0.064322725,0.13781498,0.23409797,0.32523468,0.37890592,0.38526747,0.353896,0.304503,0.24822618,0.1951549,0.15713276,0.14543986,0.15771289,0.1756432,0.18003565,0.16671276,0.15048622,0.14919622,0.16822521,0.197021,0.22008991,0.22813304,0.22055876,0.20102443,0.17289738,0.13858484,0.10156113,0.06849197,0.048990294,0.052558217,0.08295585,0.13423474,0.19126415,0.23714228,0.26079658,0.2602879,0.23929977,0.20428456,0.1639818,0.12946175,0.10918143,0.10363265,0.10545752,0.10662105,0.10404024,0.098743916,0.09366152,0.094087385,0.11086411,0.15156414,0.2117793,0.27200386,0.3178831,0.35149965,0.38599432,0.42071903,0.435015,0.40580252,0.33061132,0.23147796,0.1377558,0.06919322,0.029558226,0.01176436,0.00584884,0.005481617,0.011421432,0.030952089,0.07193866,0.13520147,0.21053927,0.2813299,0.33378544,0.36278605,0.37296787,0.37319645,0.3717208,0.3711184,0.3690456,0.3600527,0.33734646,0.29570428,0.23681553,0.17525077,0.13285539,0.12530233,0.15021627,0.1903015,0.22627838,0.2461559,0.2463916,0.22631939,0.18924183,0.14394976,0.10800528,0.098494805,0.121960066,0.16535912,0.20414549,0.21728368,0.20171537,0.1716109,0.14711066,0.1396066,0.14561836,0.1506635,0.14259256,0.122046836,0.10295371,0.0998572,0.1151011,0.13640386,0.14859335,0.1469252,0.14110963,0.14347671,0.15546636,0.16432919,0.15722127,0.13615449,0.11800913,0.11984209,0.14399737,0.18018852,0.21589847,0.24605691,0.27031103,0.288067,0.2963463,0.29421598,0.28422156,0.26938468,0.24758215,0.21397555,0.1679533,0.11888567,0.08189765,0.06776401,0.07569162,0.09378732,0.10809532,0.110525995,0.10209452,0.08812243,0.07301678,0.05801213,0.04315096,0.029222703,0.017801303,0.009948275,0.005475074,0.0033515606,0.00248208,0.0021895969,0.0021589657,0.0022867753,0.0025227256,0.0028374575,0.003188083,0.0035156813,0.0037385223,0.003781898,0.0036083348,0.0032584518,0.0028243214,0.0032811475,0.00771665,0.02285857,0.058001626,0.12038102,0.20930676,0.3092841,0.39418373,0.4338645,0.4147191,0.34363532,0.24955581,0.1613533,0.09813615,0.06059498,0.041004457,0.029651286,0.021300271,0.014270474,0.008833767,0.00532132,0.0035811134,0.003054429,0.003097681,0.003225822,0.0032632921,0.00357409,0.005445355,0.011094593,0.024003051,0.048474893,0.08967757,0.1486023,0.21866648,0.2837701,0.3286543,0.34578672,0.33771756,0.30881712,0.26322517,0.2089417,0.16053925,0.13565686,0.14289878,0.17840117,0.22502653,0.26470682,0.28546146,0.28765538,0.27657676,0.255721,0.22372055,0.18097156,0.13642302,0.10578228,0.10007194,0.11497766,0.13297212,0.13916998,0.13386896,0.12997065,0.13707654,0.15171659,0.16112982,0.15527831,0.1338536,0.10654675,0.08851544,0.094559975,0.13045146,0.1872329,0.24463809,0.28405464,0.3006321,0.3021284,0.2984278,0.29128048,0.27531466,0.24472368,0.19963054,0.14692284,0.09796554,0.06526939,0.05894013,0.082378514,0.1295966,0.18565445,0.23275167,0.25666097,0.2515318,0.21993154,0.1721977,0.12472412,0.09691601,0.1042094,0.14931142,0.21789117,0.2831383,0.32133034,0.32351097,0.29905543,0.2620363,0.22299021,0.18555881,0.15550876,0.13946684,0.13935721,0.14601435,0.14722483,0.13914438,0.12976636,0.12953867,0.14300798,0.16834396,0.20146622,0.23439662,0.2540765,0.24673098,0.20948976,0.1539905,0.099279344,0.059103843,0.036492206,0.02656074,0.022505598,0.019460281,0.015432672,0.010706771,0.0064802426,0.0036437328,0.002246737,0.0017924128,0.0017510898,0.0018080777,0.0018440506]