[0.18794474,0.18628776,0.18225576,0.1779149,0.17942344,0.19305442,0.21870323,0.24575138,0.25782037,0.24452935,0.21091706,0.17379342,0.14987837,0.1440659,0.15331958,0.1699451,0.1879137,0.19766639,0.19240518,0.1703801,0.14119391,0.11723585,0.10740265,0.11126802,0.12539583,0.14470573,0.16461904,0.17518751,0.16862603,0.14206366,0.10478574,0.0680095,0.042261776,0.032705147,0.04543441,0.08306903,0.14042361,0.2008071,0.24507599,0.26341498,0.25736395,0.23661436,0.20813143,0.17975982,0.15461957,0.13799572,0.12817489,0.122717164,0.113785304,0.09745571,0.073233314,0.04703002,0.025298094,0.0117014265,0.0056173354,0.0052396744,0.010759628,0.024607306,0.047873933,0.07639811,0.10085526,0.11155627,0.10472918,0.084524535,0.060966045,0.04567406,0.047026996,0.06792366,0.10157051,0.13741036,0.16320038,0.17775615,0.18421394,0.19032897,0.19226868,0.1832341,0.15446539,0.11138316,0.06619399,0.03533509,0.027342843,0.04400732,0.078374214,0.1176266,0.1470349,0.15798037,0.15331388,0.14311017,0.13698342,0.13754086,0.14280605,0.14842659,0.15053399,0.14506823,0.13058384,0.10861558,0.08434814,0.062639184,0.04779643,0.040314082,0.03852211,0.037045512,0.03238805,0.0236614,0.014317625,0.0072837877,0.0038014262,0.0027492952,0.0032481644,0.0061697066,0.01427212,0.030547336,0.05390433,0.07941731,0.09986061,0.11299396,0.11887273,0.11863271,0.10888835,0.08852219,0.06072477,0.034828164,0.019475622,0.0200242,0.036927987,0.065939054,0.09855288,0.12386328,0.13476145,0.12944598,0.11376112,0.096659265,0.08972901,0.099748455,0.12487236,0.15241235,0.16824214,0.16696493,0.15652044,0.14755847,0.14330381,0.13512136,0.11527461,0.0857042,0.060523037,0.053145517,0.06623872,0.08885466,0.10677063,0.11241569,0.109633096,0.10581738,0.106543414,0.110250026,0.11300845,0.10862375,0.09425654,0.071225055,0.047436595,0.03206428,0.029637972,0.036637742,0.044128343,0.044805553,0.03693734,0.024758065,0.01356203,0.0064942413,0.0032725914,0.002271042,0.0020369284,0.0019883139,0.0022926594,0.0038598708,0.009150018,0.021397993,0.044193957,0.077516265,0.1176945,0.15481474,0.17927958,0.18413253,0.17353104,0.15656994,0.14367552,0.13627839,0.1315976,0.12504178,0.115419626,0.10211118,0.08611917,0.07109353,0.06285495,0.064890094,0.07616773,0.09258177,0.11052511,0.12389877,0.12573095,0.10978648,0.080036394,0.047416147,0.025854364,0.022380268,0.036303584,0.058547553,0.07614105,0.078557365,0.0645956,0.04246713,0.022778945,0.010929372,0.006068885,0.0048801876,0.006066928,0.010964907,0.022104815,0.03907315,0.05814543,0.07324906,0.08296892,0.08964467,0.098856114,0.11094284,0.12485018,0.13709255,0.14930819,0.16145854,0.17415358,0.1823423,0.18285026,0.17218882,0.15152,0.121989936,0.08807685,0.055037517,0.029427154,0.013872263,0.0071912594,0.005371787,0.0053411964,0.0059123333,0.008311839,0.016151117,0.03399763,0.06379058,0.10136992,0.13744015,0.16346665,0.17657614,0.18103708,0.18162848,0.18055223,0.1745841,0.16257986,0.14688967,0.13378432,0.12795965,0.13021088,0.14011413,0.15427218,0.17033155,0.18314077,0.19081521,0.18927555,0.1762091,0.14921884,0.112169445,0.07311397,0.04202154,0.025824716,0.027856728,0.046789806,0.07871311,0.11670805,0.15509436,0.18589848,0.200566,0.18997236,0.15424435,0.10449841,0.058035195,0.026537774,0.01103563,0.0056288256,0.0040787277,0.0033918973,0.0029023474,0.0036778208,0.009504556,0.02728779,0.062875636,0.11183768,0.159696,0.18977296,0.20165811,0.20526399,0.21296471,0.21942388,0.21554922,0.1942082,0.16435887,0.13697088,0.11931786,0.107515536,0.09354376,0.07321333,0.05034679,0.035180524,0.036786616,0.058221314,0.0949767,0.13542296,0.16648959,0.17676193,0.16420019,0.13353328,0.09546515,0.05928969,0.032568168,0.019744927,0.023853062,0.043738823,0.072010696,0.09469649,0.09957097,0.083717026,0.05653115,0.031312488,0.018584892,0.022847006,0.04557063,0.08330857,0.1258934,0.15783997,0.16635568,0.14974333,0.11606292,0.080069594,0.0552657,0.053183913,0.07654051,0.11718094,0.15645464,0.17729372,0.17634724,0.16571271,0.16021466,0.16434078,0.1712557,0.1740352,0.17201869,0.16904597,0.16610964,0.16213925,0.15635781,0.15010303,0.14273678,0.13031055,0.10974968,0.08440762,0.065646194,0.06380645,0.08033246,0.10482067,0.1255725,0.13806088,0.14689858,0.15662687,0.16562544,0.16762061,0.15727334,0.13469885,0.10314954,0.07105255,0.04915753,0.051150292,0.08146233,0.13209409,0.18136239,0.2124632,0.22247607,0.22379203,0.22554512,0.22547407,0.21391024,0.19129099,0.1715095,0.1699308,0.18362899,0.1924758,0.17549156,0.13381511,0.08956167,0.073561795,0.10252333,0.17060204,0.24944806,0.3058826,0.32219157,0.306407,0.28059098,0.26059803,0.24334176,0.21743117,0.1740244,0.12015647,0.06912471,0.036631767,0.028427275,0.04245777,0.06978282,0.099131785,0.12047949,0.1254589,0.111832954,0.08374361,0.05159749,0.02650514,0.016300047,0.025237596,0.05334395,0.09563222,0.14193319,0.18342806,0.21648623,0.24122496,0.25310254,0.24573971,0.2169224,0.17732807,0.14052083,0.11445101,0.09416143,0.07373331,0.05350704,0.04454659,0.055517405,0.08713108,0.12640214,0.16068804,0.17993402,0.18600984,0.18013479,0.16615468,0.14322953,0.11582068,0.09014691,0.07553259,0.07709912,0.093237184,0.11780932,0.14325704,0.16529143,0.17931283,0.18285204,0.1758006,0.16420448,0.15376364,0.14481454,0.13083291,0.10648111,0.073997326,0.04335155,0.025450634,0.02727001,0.04704355,0.07667339,0.10119218,0.10975344,0.09747354,0.07199439,0.04392201,0.024390472,0.017762179,0.022894388,0.033224013,0.040682223,0.040900055,0.0364397,0.03608537,0.04958306,0.0801374,0.12000215,0.1512918,0.1579268,0.13828333,0.10870889,0.09045613,0.09265753,0.10762463,0.11976475,0.11867621,0.102928855,0.07845803,0.053786565,0.03823279,0.037847865,0.05333261,0.07812778,0.10243545,0.11774983,0.12170891,0.11808914,0.11240127,0.1073597,0.10012432,0.08690851,0.06656049,0.043567736,0.023810966,0.011176005,0.0051723537,0.0031999415,0.0026949027,0.002484531,0.002300529,0.002230333,0.0023169734,0.002522614,0.0032124135,0.0060801418,0.014611839,0.032270107,0.059050012,0.09000891,0.11761687,0.13680975,0.14632642,0.14810579,0.14394815,0.1364268,0.12700947,0.117211275,0.10610559,0.09478507,0.0857163,0.08378869,0.08792936,0.0917344,0.08534048,0.06695753,0.042292703,0.021377476,0.009021352,0.006370409,0.013513889,0.033289965,0.06545339,0.103748195,0.1348893,0.14960654,0.14640136,0.13361812,0.119089834,0.10768356,0.09951126,0.094123274,0.08992255,0.08479481,0.07790821,0.074744634,0.08408802,0.11152482,0.14936477,0.18378611,0.20411478,0.21315159,0.21965437,0.22955973,0.2413493,0.24831708,0.24450736,0.22434922,0.1876425,0.13853045,0.08810536,0.046716485,0.020630306,0.008185176,0.004305019,0.0037036827,0.0037989728,0.0037654194,0.0036338929,0.0034519183,0.0032422657,0.0030221622,0.0028167686,0.0026671786,0.0031798098,0.0063822255,0.016924685,0.040556654,0.08122965,0.13514598,0.19036777,0.2295614,0.24245697,0.23095752,0.20966582,0.19118585,0.17997658,0.1704365,0.15750657,0.13856533,0.11464379,0.08669857,0.058486897,0.03573039,0.025510117,0.030809537,0.049249817,0.073030576,0.09484752,0.110678144,0.12151011,0.12774621,0.12870145,0.12129622,0.10515509,0.08181227,0.056193504,0.033240154,0.017052656,0.008457948,0.0060342248,0.007338833,0.010254792,0.013047811,0.01757653,0.030973012,0.06732252,0.13337858,0.22374749,0.31254527,0.3742987,0.387336,0.3510904,0.2776561,0.19738309,0.13914676,0.120706476,0.13456081,0.15974136,0.17405957,0.16707222,0.14014566,0.10192891,0.063735545,0.033353325,0.014598019,0.006180789,0.007025584,0.01820451,0.042833198,0.081024654,0.12591177,0.1658356,0.19081353,0.19689672,0.18572749,0.1601208,0.12572767,0.091125555,0.06903762,0.06614512,0.0790688,0.09382113,0.09891913,0.09227997,0.08122268,0.07426234,0.07603509,0.08721993,0.10368642,0.11671865,0.116461396,0.10032431,0.0776683,0.06295545,0.064002655,0.074587725,0.080975614,0.07384597,0.055919364,0.039489564,0.037511732,0.05784771,0.098394,0.14910956,0.19302346,0.21746813,0.21824269,0.20317106,0.18161207,0.16099031,0.1435851,0.13107447,0.122274816,0.11368093,0.10016183,0.08176648,0.06463971,0.057579443,0.06406206,0.08042156,0.09944406,0.11654097,0.13091038,0.14390649,0.15465762,0.1597339,0.1527545,0.13049227,0.09585058,0.059181765,0.03067855,0.015757082,0.014661121,0.027575424,0.053819656,0.08779255,0.11550218,0.12282998,0.10506698,0.07205321,0.038956337,0.017088346,0.009855118,0.018688954,0.04552334,0.0893989,0.13981424,0.18066634,0.2011258,0.2050652,0.20420808,0.2075448,0.2149737,0.22272913,0.22717662,0.22449382,0.21264799,0.19352472,0.17643459,0.16815753,0.17047226,0.17695026,0.18275654,0.18420738,0.18142562,0.17504044,0.16770369,0.16225342,0.16078031,0.16339432,0.16830452,0.17203163,0.17152779,0.16385739,0.1479903,0.12280508,0.09139594,0.06039169,0.040492516,0.038941514,0.054861337,0.0772787,0.09124616,0.08810984,0.07177875,0.05746128,0.059757102,0.0834116,0.11885578,0.1523567,0.175198,0.18934713,0.1982695,0.20025206,0.18859887,0.16237693,0.13012604,0.10610931,0.10037053,0.11607915,0.14762194,0.18322633,0.20679432,0.20577061,0.17746192,0.130949,0.08162038,0.042562995,0.020602921,0.01654621,0.029558009,0.055694703,0.08796001,0.11477057,0.12719859,0.1211687,0.100361645,0.07180025,0.044527233,0.026434429,0.02301603,0.03438616,0.0542942,0.07124751,0.07528902,0.06376167,0.04335934,0.023622254,0.010745927,0.0048247664,0.0030561828,0.0028315047,0.0030927463,0.0045270994,0.009702268,0.02303747,0.046404567,0.075210385,0.09715373,0.100969754,0.084397785,0.05677406,0.03058705,0.014310227,0.010525827,0.020925412,0.04701404,0.08842703,0.136788,0.17854606,0.19892223,0.19369161,0.17088015,0.14787376,0.13718717,0.13964576,0.14668782,0.1507079,0.15020548,0.14641291,0.13946001,0.12769842,0.11202953,0.09522148,0.08188257,0.073354684,0.06957084,0.06640867,0.060779054,0.049838316,0.0355393,0.021172887,0.010683338,0.0048371116,0.0025633853,0.0021804872,0.004411398,0.014135306,0.038874086,0.08330726,0.13972513,0.18949896,0.21050584,0.19674696,0.15874742,0.12007245,0.095608406,0.08891068,0.09146336,0.09581315,0.09804892,0.09759738,0.095015265,0.091469556,0.08946992,0.089668445,0.09014169,0.08833217,0.08317548,0.0753606,0.06459459,0.050647724,0.03467891,0.019937536,0.009506365,0.004004251,0.0020569062,0.0016647741,0.00236725,0.0057041044,0.014941678,0.031579804,0.051923063,0.066855304,0.06807281,0.05576839,0.040097255,0.035568163,0.050497234,0.08229605,0.11809527,0.14478816,0.15561931,0.15259336,0.13965458,0.11971986,0.095687866,0.07446946,0.065483995,0.074939124,0.10199675,0.13907987,0.17535019,0.20079465,0.20968066,0.2043485,0.19196542,0.18013625,0.1697144,0.15830928,0.14344153,0.1281235,0.11523489,0.106069945,0.09877358,0.09642801,0.105806015,0.13115592,0.16370326,0.18638057,0.18659483,0.16817534,0.14321949,0.12217099,0.103269465,0.08309478,0.059027452,0.036309052,0.01874323,0.010103607,0.01078137,0.022041818,0.041550968,0.062608264,0.07422205,0.069913216,0.052075084,0.030824421,0.014974906,0.007289091,0.005083186,0.0048287734,0.004627897,0.004106715,0.0034453112,0.0027930017,0.002341448,0.003180964,0.008253232,0.022574754,0.05007255,0.09005529,0.1354069,0.17607538,0.20298702,0.21082748,0.19863032,0.1711408,0.13713028,0.105561495,0.07978257,0.060001403,0.04771635,0.049728036,0.07137302,0.10803458,0.14297067,0.15646267,0.14051057,0.10324345,0.06407235,0.041138142,0.046841484,0.08235029,0.13683796,0.18503533,0.20204566,0.17730357,0.12513195,0.07001033,0.031241402,0.011713718,0.0053380094,0.0047248635,0.006780906,0.010173387,0.013724032,0.01533166,0.014713943,0.01482176,0.022994203,0.046243455,0.08471414,0.1259581,0.1513654,0.15025191,0.1317719,0.1178886,0.12618347,0.15528964,0.1921402,0.22299953,0.24415474,0.25287756,0.24791218,0.22781183,0.20118572,0.1784425,0.16610803,0.15896393,0.14807235,0.1270044,0.09697747,0.06486862,0.04116859,0.037298974,0.060177702,0.10836492,0.1672715,0.21801572,0.24440904,0.24687797,0.23594564,0.22772872,0.22717263,0.22927262,0.22011054,0.19151443,0.14511102,0.09367636,0.05227292,0.0336322,0.045627464,0.08869455,0.15333997,0.21887438,0.26429638,0.27949426,0.27292117,0.26468024,0.2701285,0.28658363,0.29193977,0.26435664,0.20144634,0.12444233,0.060247134,0.022074455,0.006366109,0.0021786971,0.0017021918,0.0018095375,0.0020570687,0.0024011193,0.0045005865,0.012676205,0.034990523,0.07675167,0.13655256,0.20188631,0.25750098,0.29164603,0.3031551,0.29787162,0.2828262,0.25900736,0.22281386,0.17214535,0.11538976,0.06855723,0.048523303,0.060061473,0.09189863,0.12097081,0.12619671,0.10380465,0.06636081,0.0330358,0.013026948,0.005466662,0.004948463,0.010756577,0.027523816,0.058234315,0.098101296,0.13303506,0.15239963,0.1586646,0.16723044,0.1903183,0.22339119,0.24887536,0.25163633,0.23379232,0.21121264,0.19975813,0.20379388,0.21493171,0.22481662,0.22784014,0.22727305,0.22388028,0.22080308,0.21576321,0.2078708,0.19291168,0.16949606,0.13831306,0.10368848,0.07051787,0.042881582,0.02283357,0.0106983185,0.004780031,0.0027146004,0.0032884136,0.008028589,0.021294074,0.044564072,0.073605925,0.09577981,0.10077417,0.08659851,0.06538571,0.052705005,0.057112683,0.07264183,0.08393729,0.0798644,0.0604915,0.036568355,0.01783519,0.00812799,0.0047641727,0.0041529234,0.0040495596,0.0038696127,0.0035950085,0.0036173842,0.005994269,0.0149712665,0.03682251,0.07399458,0.12312595,0.17161842,0.20803745,0.22388636,0.22232948,0.20869558,0.19202973,0.17537268,0.16181274,0.15087228,0.1459539,0.14762515,0.15564674,0.16212042,0.16148616,0.14889266,0.12772824,0.1009671,0.07677115,0.062450286,0.066111535,0.08697639,0.117082596,0.14532556,0.16542648,0.17640196,0.17682487,0.16385189,0.13656822,0.10295161,0.07563644,0.064633705,0.07079541,0.089166395,0.113774784,0.13945796,0.16121268,0.17387956,0.17472924,0.1659093,0.15487053,0.15092507,0.15692413,0.16685759,0.17032953,0.16382557,0.15250964,0.14427339,0.14205505,0.14381516,0.14538574,0.14426644,0.13845299,0.13027452,0.12034786,0.1097764,0.093580596,0.07152448,0.04575993,0.024405375,0.011811689,0.010371537,0.020984113,0.04581797,0.086464725,0.14026745,0.20047753,0.25553775,0.29375508,0.3060288,0.2928846,0.26167446,0.22461438,0.18928756,0.16123158,0.14257972,0.13675296,0.14322104,0.15613043,0.1652152,0.16237263,0.14790633,0.1280192,0.10898303,0.09289811,0.081331454,0.08130131,0.1013489,0.14181954,0.1875891,0.21985257,0.23165154,0.231444,0.2269315,0.21348576,0.18082623,0.12993412,0.07577657,0.035057947,0.013225962,0.0052835974,0.0034393615,0.003161844,0.0030034967,0.0028867305,0.0028657687,0.004731484,0.01384275,0.040280074,0.09089449,0.16057087,0.22836061,0.2727741,0.28758225,0.2838782,0.2722776,0.24990033,0.20790039,0.14862508,0.08962082,0.050032064,0.0352362,0.037027735,0.042792052,0.046859518,0.05071355,0.059286553,0.07273037,0.08591822,0.0916324,0.08744395,0.07599275,0.062282626,0.05141729,0.049292248,0.061593544,0.08673019,0.11353376,0.12524615,0.114438646,0.088273086,0.067814,0.07378783,0.11279998,0.16857791,0.20822664,0.20645523,0.16327232,0.10574483,0.0658204,0.060786087,0.08668569,0.12331378,0.14827956,0.14567865,0.11713973,0.075876795,0.039470583,0.017117202,0.010225241,0.016745606,0.035038322,0.06359825,0.09520382,0.12042687,0.12903112,0.12146265,0.104959786,0.092336476,0.08742552,0.086258076,0.07888562,0.062066007,0.0405556,0.024987219,0.023801262,0.040116105,0.071044,0.111121535,0.15329109,0.19113128,0.21716245,0.22718239,0.22081958,0.20223826,0.17511241,0.1407761,0.10166168,0.06300541,0.033252988,0.018704275,0.023680821,0.048618574,0.08941845,0.13444062,0.1688527,0.18181472,0.17348252,0.15309197,0.1331548,0.122202456,0.121555805,0.1256626,0.12594227,0.116482876,0.09656641,0.07079286,0.04688703,0.03432886,0.04287177,0.07536781,0.12525283,0.17440552,0.20757602,0.21625067,0.20483696,0.1786353,0.14478119,0.10892599,0.081317216,0.07074217,0.07922384,0.09645873,0.1059691,0.096779525,0.07125163,0.041542884,0.01892008,0.0069129393,0.002563404,0.001994164,0.004319083,0.012907089,0.033113476,0.069032244,0.117058635,0.16581537,0.19969337,0.21025681,0.20015883,0.1816537,0.1673433,0.16370934,0.16912639,0.17546672,0.17370994,0.15793018,0.1292391,0.09379488,0.06094381,0.039496195,0.035962343,0.05124128,0.078492045,0.104100235,0.11403596,0.10323876,0.080699645,0.06474689,0.07062059,0.09920785,0.13686997,0.16653502,0.17996323,0.18129332,0.17898692,0.1772333,0.17529292,0.17134528,0.16774434,0.16479324,0.16032158,0.14700973,0.12396908,0.09745449,0.08028669,0.07865406,0.08976018,0.10305145,0.110001706,0.106065154,0.09296059,0.07714144,0.070323765,0.08187308,0.113276966,0.1519141,0.18314971,0.19526811,0.19202398,0.17918336,0.16457392,0.14700308,0.12820771,0.11230367,0.10753565,0.1171124,0.13474695,0.15084058,0.15808594,0.15961589,0.1600266,0.16261472,0.16290766,0.15743254,0.14593492,0.13355006,0.12501456,0.1215531,0.1197282,0.11320255,0.096971504,0.07351969,0.05331948,0.050304037,0.06795835,0.09625926,0.11459395,0.11000649,0.083715975,0.050591465,0.024157977,0.00993099,0.004740533,0.004158982,0.006616326,0.014166501,0.029173205,0.050976653,0.075628884,0.099864624,0.123061866,0.14549462,0.16271473,0.16827552,0.15725173,0.13381106,0.10661077,0.08743745,0.08004287,0.08134236,0.07931278,0.06748437,0.04638123,0.025710503,0.011637795,0.005662968,0.0040594568,0.0041146204,0.0044320864,0.004862822,0.00522494,0.0053468924,0.0051608873,0.004767614,0.0043616616,0.0041482747,0.004212368,0.0044943043,0.004802868,0.004955102,0.0048690904,0.0046371524,0.0044379565,0.0044328575,0.0046515143,0.0058730957,0.010883614,0.025269864,0.053269792,0.091895916,0.12736577,0.14289577,0.13023725,0.096767284,0.058938116,0.031786535,0.023347711,0.036895968,0.07382088,0.13033478,0.1940705,0.24463248,0.26534116,0.25363776,0.22411638,0.19723286,0.1849279,0.18761428,0.19753061,0.20974036,0.21560694,0.20804186,0.1776771,0.13010795,0.07754136,0.03778821,0.01753785,0.018179448,0.035994325,0.06695988,0.1019451,0.12939297,0.13928086,0.13005404,0.10586228,0.07547004,0.046056423,0.02428935,0.01283674,0.014040484,0.029553378,0.060032684,0.0983282,0.12904392,0.13582125,0.11486032,0.07874329,0.0494571,0.04534791,0.0723792,0.12211207,0.17655064,0.21687056,0.23443727,0.23022164,0.21551152,0.19911961,0.19145584,0.19222116,0.20042355,0.20744044,0.21115613,0.20815955,0.19895518,0.18261896,0.16282147,0.14539479,0.13502377,0.1336663,0.14033686,0.15522808,0.17232926,0.1833064,0.17777681,0.1609997,0.14667773,0.15322755,0.18127507,0.22070134,0.25185344,0.26394972,0.25203985,0.2238506,0.19117045,0.16959941,0.16567354,0.17605896,0.18718123,0.1884293,0.17919026,0.1693516,0.167502,0.170075,0.16496925,0.14346616,0.11327103,0.09253047,0.095837206,0.11974005,0.14448483,0.15049243,0.13345258,0.108169965,0.092253394,0.09431156,0.10812623,0.12515889,0.13923635,0.1503392,0.15728295,0.15677613,0.1443655,0.11838034,0.08405883,0.049810927,0.024527945,0.011643735,0.011851172,0.024725677,0.048355144,0.077420324,0.101741165,0.11376649,0.1104528,0.0958477,0.07454499,0.051814407,0.031860035,0.019696461,0.01928611,0.031192213,0.050775588,0.0698233,0.083389096,0.09441277,0.10897938,0.12661542,0.13563599,0.1253502,0.098026805,0.0720599,0.066950224,0.08790288,0.1218974,0.14737852,0.15236819,0.13936812,0.12108412,0.105115324,0.09092337,0.07380893,0.05460784,0.041419342,0.045628417,0.072870076,0.118648015,0.16782062,0.20311856,0.21182,0.19132678,0.14924178,0.099309854,0.055978674,0.028437855,0.02141548,0.03826252,0.0787944,0.1377492,0.19946969,0.24963002,0.27544764,0.27596855,0.25245658,0.21532458,0.17341752,0.13861664,0.11682875,0.11378557,0.12880902,0.15601547,0.18369104,0.20438516,0.21712007,0.22527923,0.22385316,0.20550139,0.1654887,0.11696079,0.0788,0.06626955,0.07647865,0.096429616,0.115368344,0.13216263,0.15167326,0.17199044,0.186005,0.18483989,0.16936366,0.14483966,0.11856686,0.09237465,0.06717043,0.044409994,0.029286586,0.027918538,0.04269014,0.06859676,0.09351235,0.10695822,0.10666164,0.10040316,0.09834156,0.10638385,0.124466114,0.14683555,0.16680856,0.17724937,0.17802255,0.17307292,0.17115116,0.17635326,0.18844818,0.20093374,0.2064169,0.19877647,0.1774313,0.15016109,0.1302282,0.12845212,0.1416751,0.15511316,0.15276986,0.13311428,0.10933075,0.09903977,0.11016426,0.13437003,0.15441965,0.1560428,0.14131741,0.12742373,0.13160221,0.1549932,0.17758106,0.17823672,0.149264,0.10384729,0.059626296,0.028747285,0.012025579,0.005592504,0.0060808756,0.014326923,0.03317331,0.0632878,0.098329455,0.12806447,0.14302035,0.14120138,0.12508197,0.10033848,0.07333759,0.053783026,0.05140845,0.06881014,0.096023686,0.11431163,0.11060003,0.08741852,0.062257275,0.05412738,0.070844255,0.105093904,0.13905679,0.15606381,0.14761683,0.118530594,0.08035614,0.046083983,0.022049135,0.009046513,0.0043274723,0.0069246404,0.018924376,0.0418579,0.07185164,0.0969539,0.10583493,0.09585809,0.07797586,0.06616182,0.06835767,0.08018977,0.0921367,0.09537671,0.08776841,0.071861625,0.053040147,0.03558265,0.021925949,0.012636081,0.008157902,0.00996351,0.020553416,0.040752385,0.066679105,0.08902783,0.098539144,0.091637224,0.07386587,0.055310372,0.04652485,0.05295238,0.07416455,0.1023804,0.1258778,0.13370651,0.12140516,0.093497,0.06029546,0.033051535,0.018343255,0.018307324,0.030060595,0.048301402,0.064354606,0.07272998,0.072644494,0.0707289,0.07161251,0.075263,0.07567691,0.06913924,0.05636087,0.04156142,0.028347233,0.018233325,0.011589746,0.007784592,0.0061641675,0.0060661105,0.007858865,0.011691908,0.017311022,0.023724979,0.031172082,0.04016365,0.050569624,0.05971414,0.06415563,0.061686236,0.052477732,0.03910083,0.024899969,0.013437034,0.0062298574,0.0030581325,0.002668605,0.005160863,0.012546308,0.026491983,0.045578867,0.06363913,0.07379716,0.07234914,0.061619747,0.04651602,0.031699948,0.01954633,0.012496672,0.013576553,0.028564027,0.06087551,0.111694016,0.17007673,0.22147436,0.24712753,0.24293673,0.21224229,0.16842163,0.120094575,0.075762734,0.040260933,0.017439768,0.006179178,0.0024794908,0.002211246,0.0044055325,0.0115524605,0.027441436,0.054479223,0.090483345,0.12939526,0.16194849,0.18038224,0.17988499,0.16251238,0.13432771,0.10325704,0.074251175,0.0510131,0.037440617,0.037916537,0.05302906,0.07612121,0.09552613,0.100571714,0.08868778,0.06532941,0.040422063,0.021233397,0.011087387,0.009897259,0.018588016,0.037435267,0.06536809,0.09489461,0.11693114,0.12242204,0.11221931,0.09509116,0.08802339,0.10159355,0.13331716,0.16319142,0.16993712,0.1448591,0.099850446,0.054606978,0.02364909,0.008463307,0.0034990106,0.002442345,0.002343253,0.0023312077,0.0023753364,0.002391451,0.002363627,0.002316341,0.0023124332,0.0025090282,0.0032092736,0.0048619546,0.008261391,0.015384085,0.030487834,0.05839811,0.10091725,0.15255632,0.20162578,0.23558502,0.24614133,0.23321386,0.20222633,0.16570948,0.1380743,0.13412713,0.15889488,0.20412499,0.25087044,0.27926564,0.28215364,0.26319113,0.23613262,0.20920551,0.18839157,0.17175232,0.16084611,0.15556343,0.1592136,0.17083283,0.19028677,0.2143863,0.24297905,0.27100268,0.2900664,0.28469226,0.24717675,0.18334134,0.113976985,0.058953207,0.026817067,0.013325577,0.009610437,0.008911355,0.008307695,0.0073393104,0.0063423174,0.0055959034,0.0051505677,0.0056647845,0.012679043,0.039012212,0.100974,0.197874,0.3001844,0.3569058,0.33647063,0.25031605,0.14583535,0.0655326,0.023557676,0.00891606,0.0058193593,0.0063776695,0.011798565,0.030065795,0.069752954,0.13319702,0.20804858,0.2713003,0.29822886,0.28006515,0.22762227,0.17081691,0.13749129,0.13856936,0.15701447,0.16508569,0.1459976,0.11044801,0.08801556,0.106288075,0.16992031,0.2574765,0.3333012,0.37143457,0.36311296,0.31794798,0.24988721,0.18227406,0.14007087,0.14325489,0.18448186,0.23501126,0.2644756,0.2666436,0.25226596,0.23457117,0.21625204,0.20333023,0.2041511,0.2253502,0.25692844,0.28148663,0.2850971,0.26557338,0.22793789,0.17988767,0.13143818,0.09397652,0.077809356,0.085534535,0.11177242,0.14198685,0.16167359,0.15833181,0.13281874,0.09656032,0.07138323,0.07222966,0.098707,0.13101323,0.14562233,0.13056841,0.09382162,0.053734705,0.026232034,0.016779074,0.023302808,0.04101583,0.06518524,0.090955794,0.11306608,0.12733442,0.13091296,0.123579025,0.10634751,0.08456677,0.066844456,0.06463435,0.08197028,0.11432346,0.15087362,0.19062446,0.23887105,0.29710698,0.34380874,0.34869984,0.29623112,0.20551485,0.1136414,0.049304545,0.01717804,0.006175388,0.0037853308,0.003410525,0.0032122883,0.0030328275,0.0029205827,0.002915369,0.0040260917,0.008450843,0.020119771,0.04011841,0.06625169,0.09080913,0.10945203,0.11998469,0.12502442,0.12243635,0.1100831,0.086382866,0.05748512,0.031350523,0.0141676115,0.0057769245,0.003018071,0.002438097,0.002435134,0.00264446,0.003608724,0.0073085916,0.016646832,0.03402947,0.057631668,0.082773335,0.10480446,0.12382845,0.14168067,0.15765391,0.16770452,0.16808295,0.15986373,0.14520995,0.12598121,0.102110535,0.076587684,0.05523779,0.043579113,0.04202862,0.044800583,0.04590026,0.043415707,0.04189675,0.046039764,0.057662893,0.07225808,0.084100835,0.08765769,0.08291792,0.07239874,0.060675178,0.049334716,0.03851018,0.027634328,0.017765904,0.010768454,0.008346244,0.011398365,0.019634817,0.032748025,0.051393855,0.07907779,0.11829892,0.16789871,0.21832651,0.25660443,0.2702632,0.2544748,0.2134056,0.15776473,0.10183347,0.05590895,0.026087627,0.010508462,0.0053400886,0.0069653713,0.016790649,0.038355455,0.07122756,0.10685265,0.13152756,0.13690089,0.12553869,0.10692953,0.08942834,0.07719342,0.07753926,0.10074232,0.15465754,0.2287253,0.29762313,0.33180988,0.32150736,0.2771554,0.22294472,0.17584057,0.14338611,0.12570833,0.12464156,0.13982241,0.16431455,0.18477996,0.19091083,0.18234955,0.16430841,0.14108631,0.112041,0.08027323,0.053070474,0.04172424,0.047507424,0.062451255,0.07067103,0.06468981,0.04648595,0.026964406,0.013238348,0.007137301,0.005248655,0.0048215855,0.0044581858,0.0040884377,0.0045475625,0.009157007,0.024295205,0.055197656,0.09758514,0.1358965,0.15325671,0.14845632,0.13736749,0.13754928,0.15006359,0.16069336,0.15693362,0.13899381,0.11692058,0.09779488,0.08219856,0.067809574,0.056576267,0.054946836,0.06750845,0.092309974,0.12015724,0.14356814,0.15891178,0.16881192,0.17370842,0.17307182,0.16446345,0.15132941,0.1422355,0.14502114,0.15696067,0.16291165,0.14916156,0.11621908,0.08119161,0.062841795,0.066985875,0.08573082,0.10483059,0.117496245,0.12087042,0.11663869,0.102492034,0.081325084,0.059868217,0.0505416,0.060490537,0.08828032,0.123170026,0.15225346,0.16606231,0.16313994,0.1487006,0.13179742,0.11865891,0.109694,0.10053294,0.088328265,0.076313116,0.070212305,0.071470894,0.07421657,0.071684234,0.0640297,0.058258533,0.06198499,0.07709379,0.101307385,0.13116677,0.1603393,0.17855431,0.1730902,0.14203325,0.09559235,0.05264022,0.024857739,0.015593983,0.022236565,0.04346552,0.07625133,0.1146932,0.15008272,0.17796433,0.19674064,0.20551102,0.19855465,0.17287277,0.13335322,0.096879005,0.07991322,0.09184384,0.12495863,0.16556667,0.19466098,0.20523681,0.19528286,0.17519216,0.15155001,0.13178083,0.11467033,0.099128954,0.08296076,0.07072314,0.07136937,0.09095669,0.12572402,0.15911548,0.17703378,0.17203896,0.15180944,0.12635604,0.11014056,0.111911185,0.13579099,0.17308354,0.20757572,0.22367601,0.2163679,0.1946498,0.17390613,0.16693467,0.1741217,0.18485083,0.18688028,0.17618196,0.16006798,0.14762409,0.1442418,0.14572728,0.14461198,0.13234761,0.11074295,0.09086255,0.09003812,0.114949726,0.15803473,0.20034504,0.22481264,0.22148995,0.19047807,0.14187945,0.09350803,0.06255261,0.0544138,0.060340792,0.06546981,0.06265912,0.057919353,0.065726675,0.09579539,0.14683402,0.2051466,0.25585172,0.28554606,0.2907606,0.27208695,0.23870455,0.19865124,0.16115491,0.12938423,0.10629801,0.090402745,0.079202846,0.06736631,0.053515423,0.03982128,0.030657792,0.026750626,0.025658088,0.024386488,0.022143804,0.019669099,0.01765891,0.01618869,0.014974125,0.013645515,0.011990237,0.010010491,0.008579287,0.009834635,0.018579585,0.040115792,0.07631808,0.11794429,0.14787495,0.14954077,0.12245014,0.08031275,0.042550102,0.018828457,0.008686364,0.005722098,0.0052278354,0.0050667613,0.0049138702,0.0047983527,0.0049825455,0.0064820014,0.0121100405,0.026680583,0.054882884,0.09606475,0.14151846,0.17624162,0.1889693,0.1766304,0.1468618,0.10983902,0.0788384,0.06588093,0.08132761,0.12469917,0.18402372,0.2403708,0.279301,0.29519823,0.29169643,0.27486598,0.25136468,0.22368026,0.1941337,0.16582249,0.14479388,0.1346063,0.13442682,0.14041261,0.15224034,0.17019427,0.19365005,0.21380758,0.22058457,0.2050146,0.16958334,0.12822367,0.10063409,0.09735813,0.110039234,0.11819971,0.106764354,0.077494815,0.04458582,0.020429907,0.009366694,0.010504159,0.025464267,0.057267696,0.10497894,0.15795861,0.20154016,0.22465412,0.22577661,0.20827426,0.17661576,0.13657285,0.098267,0.07630286,0.08005098,0.109073676,0.14775121,0.17710607,0.1817959,0.16455235,0.14150436,0.13255866,0.14332305,0.16241175,0.17310481,0.1695954,0.16162628,0.16262223,0.17634113,0.19036908,0.1891387,0.16544946,0.13311498,0.112553604,0.11981019,0.14921875,0.18400227,0.2062853,0.21147986,0.20514233,0.19512922,0.18495898,0.17267781,0.15711774,0.13872477,0.12057743,0.1037601,0.08875504,0.074973956,0.062491193,0.05013348,0.038289145,0.029828744,0.03157412,0.04720077,0.07447229,0.10473236,0.13000129,0.1460108,0.15076128,0.14404,0.12590967,0.10090218,0.07328428,0.04941612,0.033630505,0.03270432,0.04900214,0.08083899,0.11722922,0.14640772,0.15843351,0.15351939,0.13814598,0.1219394,0.10906303,0.097175926,0.08101528,0.05966826,0.03883368,0.027277127,0.030875752,0.049095508,0.07643142,0.10290483,0.11932635,0.1176978,0.09896126,0.06938688,0.041434612,0.024800377,0.027263299,0.05024855,0.08919976,0.13145964,0.16283464,0.17413573,0.16812749,0.154351,0.1455736,0.14480995,0.14794306,0.14312874,0.1279868,0.1085597,0.0953489,0.08904907,0.081039526,0.06617885,0.050175816,0.050025452,0.076454885,0.12759955,0.18399245,0.22506851,0.23841405,0.23150213,0.2204293,0.22043407,0.23218477,0.24471532,0.24536419,0.23077369,0.21226044,0.2037857,0.21104915,0.22321774,0.2237507,0.20283534,0.16381203,0.118283965,0.078625366,0.05317473,0.04374752,0.04454996,0.045791578,0.040770732,0.03040783,0.021566534,0.020632086,0.030512303,0.051387083,0.08197326,0.11770958,0.14785041,0.16075595,0.15343504,0.1380855,0.13167536,0.14118862,0.15590125,0.15939029,0.14392836,0.11809766,0.09936869,0.102680296,0.13064438,0.17252277,0.21115978,0.23454176,0.2405415,0.23577946,0.22768955,0.2215458,0.2173394,0.21061738,0.19550383,0.16880636,0.13371015,0.096001215,0.06288222,0.04003625,0.03364407,0.046063367,0.07413776,0.106290184,0.12859483,0.13048218,0.11151173,0.080077134,0.04933421,0.031783167,0.036699783,0.06777678,0.11899259,0.17459285,0.21440434,0.22749215,0.214975,0.18799584,0.15416957,0.11771101,0.08011869,0.046540197,0.022044221,0.008459738,0.0031089291,0.0017331806,0.0023958462,0.0066013685,0.018813536,0.042543333,0.075951494,0.111345194,0.13848458,0.15148365,0.14788209,0.12986322,0.10035363,0.06780849,0.042081635,0.034758225,0.05087096,0.08851149,0.1341978,0.17089926,0.18297268,0.16796482,0.13263498,0.09103983,0.053620238,0.027159661,0.012511946,0.0093255,0.018602198,0.043277938,0.08475915,0.13573138,0.18119317,0.20460723,0.19917648,0.17035687,0.13039123,0.09088362,0.057930645,0.03415585,0.018913807,0.011270542,0.010194284,0.016298378,0.029277286,0.0462895,0.063489854,0.08068525,0.10282728,0.13011508,0.15341753,0.1567744,0.1379232,0.109961934,0.09438375,0.09824211,0.11499223,0.13085169,0.13919015,0.13877654,0.13149606,0.11768454,0.09845271,0.077041514,0.06001291,0.054846406,0.06571869,0.0894487,0.11647364,0.13495304,0.13795511,0.12438091,0.10119022,0.07902314,0.07110364,0.083096415,0.110875726,0.13854323,0.15242653,0.14749777,0.13511893,0.13090986,0.14683011,0.17834578,0.21035601,0.22568864,0.21787046,0.19232488,0.15981874,0.13021947,0.10799563,0.09517959,0.08962753,0.08727142,0.08148079,0.06841878,0.04991765,0.033798613,0.029497042,0.040242966,0.060144868,0.07586678,0.076781444,0.061807554,0.040889304,0.02726016,0.030931406,0.052162085,0.08356168,0.11074247,0.124815285,0.12322187,0.114323914,0.10278093,0.09080968,0.07404854,0.05384061,0.034544386,0.024393974,0.026467063,0.03766714,0.04901127,0.051893815,0.04397349,0.0295766,0.016043516,0.007422667,0.00381747,0.0028580043,0.00280754,0.002893391,0.0030120022,0.003153597,0.0035402987,0.0059039914,0.014255489,0.033725176,0.064757265,0.09976735,0.12577555,0.13509484,0.13020484,0.120239116,0.110468365,0.09987226,0.084340245,0.06374028,0.041599166,0.02323378,0.012661655,0.013894137,0.032216582,0.06977702,0.12012726,0.16437577,0.18386398,0.17199449,0.14063339,0.10654882,0.07991973,0.061835185,0.053161304,0.058008105,0.077676214,0.10456022,0.1251571,0.13061957,0.12097407,0.10264149,0.08167774,0.06543768,0.06180616,0.077913165,0.11103467,0.14889818,0.17565303,0.18144132,0.16627102,0.13684641,0.106484376,0.0885475,0.09154442,0.10854166,0.124198675,0.12749209,0.12544093,0.13372797,0.16024113,0.19463027,0.21885027,0.22336332,0.21207541,0.19699354,0.18326439,0.16883266,0.14478104,0.109933175,0.07061663,0.040648818,0.028976435,0.036872562,0.05513839,0.07086993,0.07272685,0.05948028,0.038096625,0.019167075,0.008647508,0.008479379,0.019637609,0.042980496,0.07797819,0.11831548,0.15629007,0.18437682,0.2024983,0.2149414,0.22715501,0.23632054,0.23181231,0.20334406,0.15282749,0.09519405,0.047950286,0.019760061,0.009304826,0.01276965,0.030798167,0.06703602,0.120976575,0.18063729,0.22631116,0.23936701,0.21632726,0.16925879,0.122485496,0.09616899,0.09740416,0.114082135,0.12709658,0.12584819,0.11768231,0.11803591,0.13316794,0.15494655,0.17136037,0.17844571,0.17746998,0.16678251,0.14180253,0.10538746,0.0720127,0.058855075,0.073136106,0.106760085,0.14391339,0.16966146,0.17882824,0.17390795,0.16232832,0.14957148,0.13915096,0.13177854,0.1264762,0.12064186,0.113289,0.10793128,0.10956788,0.11951339,0.13014805,0.13283975,0.12193149,0.10109543,0.075362295,0.050899763,0.03043139,0.016188152,0.007891883,0.004189353,0.0029508385,0.002732304,0.0034110395,0.006416503,0.014532928,0.029484587,0.049153235,0.06744831,0.07790657,0.08017882,0.07871754,0.08082023,0.0864831,0.09183433,0.08823276,0.07477795,0.056170393,0.0448983,0.048633605,0.06622189,0.0856426,0.09456352,0.09049394,0.080680035,0.074405886,0.07178881,0.06766122,0.05698711,0.04359806,0.036048207,0.042609844,0.06338021,0.08854622,0.10531647,0.107781984,0.105668664,0.11442107,0.14346778,0.18376462,0.21805106,0.23117422,0.2225647,0.1994736,0.17088257,0.13924037,0.104887925,0.069657445,0.039161757,0.018255897,0.0074925493,0.003608829,0.0027606748,0.0037438348,0.008706138,0.022631994,0.048947334,0.08453178,0.11671396,0.13041317,0.11805,0.0865384,0.050780665,0.023785735,0.009254762,0.005574928,0.010799632,0.026558049,0.051938385,0.08272641,0.11015048,0.13021578,0.14175992,0.14645064,0.14366512,0.13508292,0.12623928,0.12312267,0.12653996,0.13093908,0.13163261,0.12930268,0.12789088,0.12910415,0.12885815,0.122642,0.10863021,0.09166921,0.07655568,0.065845884,0.05620298,0.04571709,0.036263075,0.036401063,0.052741706,0.08573402,0.12300428,0.14793831,0.14621158,0.11893308,0.07911261,0.04615729,0.03302268,0.04220517,0.066651836,0.094796926,0.11742186,0.13054639,0.13594814,0.13749613,0.1372115,0.13551046,0.13097645,0.12413282,0.1151526,0.105438985,0.09428031,0.081160784,0.06473243,0.047318112,0.034533452,0.035419535,0.053651813,0.08307826,0.10701451,0.110719,0.09127467,0.059874553,0.031173974,0.013374259,0.0057268045,0.00353635,0.003108006,0.003000676,0.0030127335,0.0031544028,0.0033772,0.0035874585,0.0039685047,0.0055583515,0.010277075,0.019543229,0.032110553,0.044790342,0.055828918,0.06840546,0.08754989,0.11567723,0.14929835,0.18315786,0.21034633,0.22323753,0.21276279,0.17809017,0.13085227,0.09253898,0.0794316,0.093988,0.12477708,0.15514205,0.17034908,0.16284002,0.13609855,0.10403497,0.08500436,0.08953007,0.1127342,0.1369186,0.14392054,0.12903002,0.10159152,0.07875672,0.070842594,0.07842308,0.09150397,0.09960968,0.09659771,0.085033655,0.0716524,0.06296054,0.060591955,0.06284455,0.0664872,0.070970096,0.076259166,0.082036845,0.08406905,0.07872382,0.065620996,0.050194908,0.038425367,0.032505475,0.029823119,0.026753662,0.022445723,0.018139107,0.015165354,0.0129418075,0.01157222,0.014148702,0.029309629,0.06639346,0.12961929,0.20858856,0.28238645,0.32618758,0.32858917,0.29215762,0.23565842,0.18098181,0.15211757,0.1607429,0.20412774,0.25926927,0.3004298,0.31040636,0.29047057,0.24967146,0.19811958,0.14240895,0.0899915,0.048094172,0.021294951,0.008157463,0.003771412,0.0030021651,0.0031720735,0.005030663,0.013190233,0.036001384,0.077963196,0.13383304,0.18585952,0.2179817,0.22526407,0.21788633,0.20651732,0.19569366,0.18232878,0.16721691,0.15488963,0.1514771,0.15260442,0.1490662,0.13002309,0.09758321,0.06094637,0.03508554,0.029611463,0.04910937,0.09035188,0.1423893,0.1897769,0.21795295,0.22285366,0.21006666,0.19150974,0.1758769,0.16662633,0.16158648,0.1575581,0.15315197,0.1528847,0.16204935,0.18208648,0.20135884,0.20483743,0.18153453,0.13861105,0.09329448,0.06616251,0.06496518,0.08428889,0.106405675,0.11559074,0.10451028,0.0790275,0.049796943,0.026397005,0.012109091,0.0060927104,0.0062947907,0.012201394,0.025100416,0.046004485,0.07272915,0.09906861,0.11725632,0.122534394,0.11504549,0.09831283,0.07678928,0.054211777,0.034198094,0.019017668,0.009660016,0.005998209,0.00946573,0.024051113,0.052050214,0.088387646,0.1180257,0.12638511,0.11120778,0.08809202,0.07840261,0.09317517,0.12570329,0.15869455,0.17879236,0.18191005,0.17185272,0.15258509,0.12858257,0.10487308,0.087007314,0.075877145,0.06755536,0.058150426,0.05097428,0.054470483,0.07526597,0.10807362,0.13786721,0.14706029,0.12938139,0.0925673,0.053227738,0.024408018,0.009597942,0.004759947,0.004294751,0.004926423,0.00551903,0.0064531653,0.009171087,0.016624538,0.031383645,0.0535403,0.07803979,0.09623692,0.1000709,0.08730628,0.06364166,0.038514,0.019950906,0.010178654,0.0087133525,0.015444733,0.03258696,0.060043216,0.09215932,0.118011355,0.1278404,0.11838111,0.094095886,0.06402486,0.036811303,0.017855706,0.0075937044,0.003609774,0.0037496258,0.008690903,0.021755114,0.042336565,0.06470558,0.07875673,0.08297502,0.08441981,0.09512797,0.1166805,0.14113517,0.15722495,0.16218516,0.15960543,0.15302677,0.13978131,0.11604318,0.083104394,0.04984084,0.026440129,0.018984688,0.027412593,0.048253518,0.07585815,0.10491242,0.1301815,0.14893432,0.15876482,0.15928662,0.15055363,0.13528065,0.11695785,0.09930106,0.08348019,0.06865586,0.054119196,0.042745005,0.04183803,0.057472367,0.091031104,0.13322288,0.1729921,0.19837599,0.20896417,0.20767516,0.20347859,0.19921827,0.19800194,0.19901152,0.20383261,0.21190746,0.22437225,0.24082047,0.2592959,0.27331936,0.27545705,0.2609286,0.22947264,0.18524468,0.13634402,0.09583535,0.075287074,0.07892092,0.09847346,0.12093496,0.13456814,0.1345413,0.119449854,0.092952214,0.06276539,0.04100937,0.036356907,0.048792403,0.068326116,0.08207074,0.084493496,0.08212245,0.088819176,0.11277228,0.1481226,0.17939204,0.19343658,0.18882681,0.17170352,0.14930096,0.124433696,0.09897094,0.07463493,0.053601433,0.036319,0.023604587,0.018770715,0.029962555,0.066186585,0.13016199,0.20778485,0.2699121,0.28629228,0.24795802,0.1738414,0.0971134,0.04247861,0.01504608,0.0071584675,0.010656815,0.023272851,0.046679277,0.08066556,0.122136295,0.1642539,0.20045094,0.2216856,0.2205043,0.19219571,0.1436186,0.089303665,0.045723166,0.019672023,0.008752714,0.00559552,0.00484346,0.004246455,0.0036511032,0.0039906944,0.007175058,0.01683936,0.03526683,0.06260171,0.093307436,0.12248496,0.14505565,0.1620742,0.17197151,0.17423053,0.16479842,0.14648674,0.12464232,0.10618168,0.090392835,0.07322006,0.052230343,0.031250026,0.0156061845,0.007363749,0.0044045043,0.0036690154,0.0034712984,0.0034384758,0.003619166,0.0039227,0.0049078004,0.009180044,0.02155631,0.045401573,0.0760112,0.10035273,0.10432873,0.0858609,0.055257235,0.027946437,0.012583832,0.01148953,0.025846817,0.057452783,0.105037905,0.15576111,0.19067435,0.1923246,0.16028096,0.10891364,0.059821356,0.026491463,0.011556518,0.011311206,0.02397415,0.050742913,0.09168673,0.1398028,0.18285406,0.20946391,0.21801068,0.21439742,0.20506835,0.18875976,0.16203345,0.12799145,0.101136714,0.09642742,0.11636313,0.1465648,0.16702576,0.16700882,0.15073442,0.13134752,0.11889278,0.11420974,0.10954077,0.097091414,0.07597341,0.054420885,0.04460597,0.05349797,0.08002826,0.11218221,0.13618958,0.1389295,0.120431386,0.08994169,0.06336979,0.048719943,0.044009294,0.040776387,0.0335237,0.02311861,0.013467786,0.0073615103,0.0046601216,0.0039648805,0.0044025723,0.006232222,0.011388831,0.021991372,0.04046032,0.06547303,0.0928333,0.11475379,0.12686431,0.128922,0.12530147,0.119673125,0.114241384,0.10938867,0.104242325,0.09593528,0.08308743,0.06910108,0.06436322,0.07617545,0.10297764,0.13051683,0.14742243,0.14962643,0.14462054,0.13504256,0.12082028,0.09776517,0.071288206,0.05008133,0.043394208,0.051701743,0.070119284,0.09196767,0.112637706,0.128894,0.13832985,0.13939682,0.13379477,0.124667555,0.11606634,0.109746985,0.10559231,0.101201065,0.0928422,0.078325726,0.05862053,0.039396554,0.027149439,0.027043007,0.039697956,0.062004108,0.08644933,0.10373894,0.106609315,0.09642082,0.084869266,0.08735324,0.11148941,0.15032677,0.18910171,0.219467,0.24872045,0.2907631,0.34593084,0.3910624,0.39464378,0.3447187,0.25864387,0.16857088,0.09727042,0.051647767,0.029116897,0.02763584,0.046344828,0.080674924,0.11970102,0.14805193,0.15529539,0.14102669,0.11642575,0.09696838,0.09403465,0.108612806,0.13113111,0.15011358,0.15936185,0.16009574,0.15443611,0.1408114,0.117370985,0.08754742,0.06324082,0.056691196,0.0713001,0.09587583,0.111524016,0.105363525,0.079453684,0.047866624,0.02560495,0.02226985,0.04299745,0.09010295,0.16071104,0.24200203,0.3126657,0.34858528,0.3350406,0.27399898,0.1875059,0.10421445,0.045810413,0.015469089,0.004761774,0.0023294815,0.0021112133,0.0020591693,0.0021412757,0.0023370322,0.002580313,0.0027699338,0.0028370733,0.00280239,0.0027831832,0.003139438,0.0050002392,0.010353382,0.020973483,0.035316914,0.048021283,0.052140314,0.04554644,0.03192744,0.018520573,0.009656317,0.005790354,0.004693615,0.0046657994,0.004964344,0.005440029,0.0059235967,0.006203048,0.0063731843,0.007513266,0.011936915,0.02220801,0.037678994,0.053064436,0.060172368,0.054839384,0.039792534,0.023476804,0.0138142845,0.015329928,0.02758277,0.04507683,0.058705732,0.060290884,0.049042583,0.03129582,0.01584552,0.0067870975,0.0034479757,0.0027210226,0.002652041,0.0025281261,0.0023914932,0.0027700725,0.0055430247,0.014220203,0.03205494,0.05799347,0.08646321,0.110135734,0.12678027,0.13736777,0.14539348,0.15139543,0.15663756,0.15995605,0.15995383,0.15407808,0.14190738,0.12448179,0.10174463,0.07491084,0.046903227,0.024222419,0.010155649,0.0043770107,0.0028927838,0.0028623252,0.003232563,0.00573346,0.0136815505,0.030539066,0.054664355,0.0796665,0.09774939,0.109219484,0.12135744,0.14054583,0.16246806,0.17258872,0.15969048,0.12463953,0.08425593,0.057886597,0.057737082,0.078992344,0.10764708,0.13111798,0.1491767,0.16768609,0.18862581,0.20552056,0.21179794,0.20801425,0.19881271,0.18673927,0.16874014,0.14374103,0.11546139,0.095467664,0.09307561,0.11153721,0.14181776,0.1720889,0.19165187,0.19844924,0.19305408,0.17902108,0.15753745,0.13122694,0.10116609,0.07093242,0.043669518,0.023744404,0.013282247,0.013658717,0.024240158,0.041817535,0.05955048,0.07062328,0.07434034,0.07800516,0.090331316,0.1130229,0.13799186,0.15440719,0.15644816,0.14727513,0.13581507,0.13051209,0.13446073,0.14305903,0.14731836,0.13872017,0.114943266,0.08249451,0.053897213,0.042448413,0.05329819,0.08080185,0.11005494,0.12760462,0.12918296,0.120802015,0.11051935,0.10063643,0.08865777,0.07323157,0.06017204,0.057979316,0.07210942,0.09761491,0.12206272,0.13153158,0.121435516,0.10094249,0.08705329,0.09069546,0.10585005,0.115181856,0.10512593,0.0775251,0.04556145,0.022533568,0.014345013,0.021442762,0.04110998,0.06886297,0.09572938,0.1134473,0.11658532,0.10860032,0.095074475,0.0832206,0.075326115,0.07429076,0.08114473,0.097349904,0.119017385,0.13911939,0.15050818,0.15213682,0.14912651,0.14609906,0.14296547,0.13386084,0.11526462,0.087986015,0.058727566,0.033659898,0.016816344,0.008019189,0.0064631775,0.012952723,0.030926635,0.06223327,0.10172957,0.13616066,0.15051097,0.13810475,0.10497185,0.06573715,0.03355943,0.014177959,0.0056298994,0.0032122585,0.002957512,0.0032941196,0.004705779,0.009110345,0.019297607,0.036101323,0.05761434,0.07677352,0.0865056,0.08180327,0.06723306,0.053236842,0.052514303,0.068603046,0.093964495,0.11361005,0.1162579,0.10066476,0.07488925,0.049741108,0.0337169,0.031147918,0.0419725,0.06215948,0.083043225,0.09554776,0.09269262,0.076802336,0.057934556,0.05180185,0.068260975,0.10548439,0.14993767,0.18511371,0.20179908,0.19801772,0.17768602,0.1442346,0.10437312,0.06562434,0.036082603,0.01838285,0.010465444,0.007674944,0.0065774913,0.00574847,0.005013227,0.0044600144,0.0040633227,0.0037143936,0.0036382016,0.005693998,0.014218819,0.03483616,0.069149256,0.111326195,0.14997172,0.17581828,0.18695776,0.18618487,0.17788939,0.16404782,0.1482267,0.1313918,0.11432254,0.09376701,0.06995865,0.04503445,0.024871306,0.013084549,0.012134783,0.022870861,0.045992073,0.078079544,0.11011819,0.13073164,0.13465156,0.12762488,0.11862159,0.11168466,0.100359134,0.0810485,0.056896847,0.04033011,0.036491815,0.042135045,0.045448616,0.040682245,0.028604478,0.016358523,0.008021013,0.0044254838,0.0032132529,0.0028618162,0.0026641872,0.0026362035,0.002710335,0.002785511,0.0028064307,0.0027776535,0.0038540445,0.009464755,0.026035802,0.05812836,0.10405564,0.15267384,0.1909643,0.20874053,0.20424016,0.18140298,0.15287203,0.13447164,0.1377726,0.1587217,0.18238471,0.19556521,0.19664954,0.19003232,0.17781778,0.15842201,0.13402398,0.11207796,0.100649744,0.100015156,0.10216376,0.09728486,0.08089198,0.057434943,0.035329778,0.023788119,0.028771734,0.052099932,0.08775506,0.121786624,0.13895856,0.13205151,0.10640373,0.07476913,0.05068366,0.044450715,0.060911637,0.09646007,0.13683747,0.16375075,0.16507779,0.14306714,0.11119006,0.08476942,0.073168725,0.07607615,0.087228686,0.09797955,0.104802944,0.108903535,0.11458438,0.12320137,0.13450424,0.1471263,0.15937059,0.16706462,0.16731179,0.16190125,0.1574077,0.15781291,0.16153975,0.1630113,0.1592053,0.15026303,0.14003189,0.13091601,0.12375802,0.11481906,0.1029509,0.0917353,0.09115303,0.10711259,0.13603024,0.1639809,0.17672229,0.16635817,0.1360466,0.09553804,0.05733639,0.029257141,0.013854858,0.010159795,0.019047517,0.044513732,0.08807695,0.14583631,0.20535314,0.25419766,0.2797401,0.27699202,0.24640523,0.20035975,0.15542904,0.12645632,0.11549058,0.11337966,0.10740801,0.09243999,0.07426012,0.06156166,0.05721808,0.05442472,0.047068898,0.035775393,0.030704582,0.04072374,0.06641086,0.096541226,0.11682705,0.121208824,0.11692197,0.11778158,0.1308298,0.15029949,0.16161151,0.15297814,0.12333595,0.082993366,0.045847,0.020955073,0.008883455,0.0053894874,0.0072706775,0.015232004,0.032603666,0.06012273,0.09416313,0.12555899,0.14506394,0.1452224,0.12568282,0.09250643,0.05707452,0.029291058,0.0131403925,0.006431746,0.004594619,0.0043782573,0.004385336,0.0043421,0.005687926,0.012448996,0.031589556,0.066347726,0.11190167,0.15367983,0.18019508,0.18939342,0.1906098,0.19005226,0.18849641,0.18130524,0.16917783,0.15461606,0.14116792,0.13037135,0.124587245,0.12632588,0.13330774,0.14277548,0.15082985,0.15883116,0.16211559,0.15630466,0.13766623,0.117677905,0.11166024,0.12929311,0.1609034,0.18785995,0.19726618,0.18926872,0.1741302,0.1581661,0.14535838,0.131835,0.11600686,0.093770124,0.069567494,0.05156617,0.053018857,0.07671041,0.11190963,0.13592507,0.13255668,0.10267458,0.06294028,0.030689465,0.013737809,0.011011024,0.020485997,0.04152966,0.07408816,0.112812854,0.14865421,0.1683029,0.16324003,0.13314031,0.09005889,0.04933837,0.021863775,0.008348559,0.0038739007,0.0030057486,0.0030557783,0.003193195,0.004007108,0.0071607977,0.015387605,0.028909301,0.04392634,0.052596938,0.05023165,0.038780827,0.026840255,0.022234103,0.026202634,0.033476613,0.036411937,0.03232463,0.023308894,0.014915403,0.009999647,0.009912557,0.015812485,0.03245707,0.06360988,0.10796847,0.15468,0.19196844,0.21276693,0.22046041,0.21881978,0.21123719,0.19760263,0.18487054,0.17906779,0.1861095,0.19932693,0.2111861,0.21173026,0.20082437,0.1818702,0.16280013,0.14880782,0.13978302,0.1309932,0.11569833,0.09378324,0.07314035,0.06802901,0.08721447,0.1270117,0.17186552,0.20436923,0.21611685,0.2082447,0.18887222,0.16363202,0.13786903,0.115353525,0.10231476,0.10157933,0.111162074,0.12535019,0.13938971,0.15126427,0.15793382,0.155075,0.13884138,0.11122943,0.07844557,0.048637014,0.02639283,0.013106771,0.006575025,0.004180853,0.0034488095,0.0033419197,0.0034647305,0.0040945057,0.0067764013,0.015448041,0.035482403,0.069170415,0.11049495,0.14532007,0.15905218,0.14712758,0.118246846,0.08888665,0.07133695,0.067042775,0.06714827,0.062034275,0.04865411,0.031795073,0.017963825,0.010036095,0.0067842663,0.00563968,0.0050844927,0.0046122908,0.00419726,0.0038189038,0.0035183874,0.0033046391,0.0031782314,0.003105481,0.0031089624,0.0031975545,0.0033533217,0.0034726977,0.0034820384,0.0040479233,0.007723156,0.01995779,0.045720924,0.08543984,0.1305343,0.17021136,0.19500573,0.20247336,0.18999805,0.15881161,0.11388973,0.06832976,0.03389054,0.016405696,0.015083027,0.029167602,0.059060406,0.10254836,0.15229289,0.19754857,0.2306089,0.24633066,0.24521762,0.22982283,0.20806377,0.18572634,0.16634077,0.15042935,0.14026873,0.13812165,0.13975944,0.1355997,0.11753428,0.08949319,0.064648524,0.05677102,0.07085422,0.10130935,0.13662292,0.16329056,0.17146601,0.15728678,0.1268065,0.09301243,0.06856725,0.057297423,0.052819,0.046602443,0.03518939,0.022178138,0.012810619,0.0108015165,0.018850809,0.03944568,0.07458171,0.12062758,0.1706149,0.21364212,0.24318989,0.25499865,0.25257587,0.24035478,0.22452588,0.20511524,0.18155561,0.15302224,0.12408293,0.09843775,0.077709116,0.05992414,0.044635657,0.03471027,0.034128603,0.044953614,0.06384435,0.08457997,0.098359555,0.09994473,0.08870825,0.07304264,0.06371593,0.06992606,0.09205499,0.12429747,0.15624487,0.1778872,0.1826786,0.17183709,0.15286559,0.13431369,0.119045764,0.10595107,0.09501899,0.09074316,0.09772238,0.114103176,0.13228433,0.14268132,0.14162314,0.12971345,0.11302654,0.096150875,0.082357354,0.06931584,0.055067807,0.039968804,0.029522022,0.029419964,0.041418176,0.06183943,0.08211615,0.09387476,0.090936966,0.07491388,0.051838666,0.030539235,0.01551456,0.0076158927,0.004307374,0.0033471698,0.003139618,0.0030965733,0.0034511455,0.0056583993,0.012433991,0.025606139,0.044782054,0.066933244,0.090121426,0.11289694,0.13293646,0.14426148,0.1424221,0.12929381,0.11241416,0.09795907,0.085278995,0.07062624,0.052361567,0.03374068,0.019465331,0.012629031,0.014116708,0.022338027,0.033859115,0.043313682,0.046639692,0.04277365,0.03401698,0.023835504,0.014890782,0.010695271,0.01646466,0.042259198,0.094373725,0.17118137,0.25253022,0.31374124,0.33397436,0.3154954,0.2747809,0.23584975,0.21120949,0.2017592,0.197053,0.18845499,0.17155963,0.15114711,0.13148443,0.115395635,0.09877198,0.07963943,0.059862062,0.04767545,0.047510255,0.05609134,0.06338426,0.064690225,0.06487578,0.0726296,0.08764882,0.098301254,0.092651166,0.0700822,0.04169639,0.019377505,0.0075660367,0.0035114186,0.0027598788,0.0027953025,0.0028973736,0.0029744634,0.0029448883,0.002781719,0.002990826,0.0054690987,0.014546263,0.03534973,0.06981957,0.11169356,0.14867847,0.16774595,0.1640765,0.1402681,0.105696596,0.06943112,0.03970918,0.019682692,0.009130723,0.0046925857,0.0033320484,0.0030505962,0.0030996122,0.0032165963,0.0033061393,0.0034984723,0.0042768815,0.007803464,0.01874788,0.04410987,0.086879455,0.14058317,0.18747866,0.21005486,0.20089416,0.16824156,0.12653162,0.08960392,0.06311322,0.04718366,0.036610283,0.027502736,0.018064544,0.010688268,0.007818848,0.011453611,0.020474775,0.031331696,0.038081337,0.036913067,0.028371945,0.017769087,0.01127018,0.013541986,0.026316581,0.047650795,0.072095715,0.09186384,0.10132879,0.098014645,0.08413292,0.063393295,0.04158031,0.023160888,0.011182285,0.0051065315,0.0037668422,0.0073905685,0.020002782,0.046078045,0.0850754,0.12701182,0.15675448,0.16528775,0.1591375,0.15578862,0.16964863,0.19806851,0.22723871,0.24143942,0.23558868,0.20926279,0.16733253,0.11660961,0.07028229,0.041850388,0.040296026,0.06285117,0.09722349,0.12553953,0.13654505,0.12899093,0.11260932,0.098695464,0.096236736,0.10914475,0.13501176,0.16600923,0.1900519,0.1992935,0.19119237,0.16914289,0.13699491,0.09958345,0.06335263,0.036107667,0.024428159,0.030583447,0.051530167,0.07932622,0.10198841,0.10950371,0.09735784,0.071800895,0.04313237,0.021523887,0.009423166,0.004893831,0.004400144,0.008040786,0.019799693,0.044530362,0.08351511,0.13045955,0.17453162,0.20447952,0.2150572,0.20653439,0.18553634,0.16143209,0.1446236,0.13965183,0.1426568,0.14265023,0.1300879,0.10333651,0.06969463,0.039309096,0.020416373,0.017145155,0.03233491,0.06475341,0.10880663,0.15134962,0.18140362,0.19186771,0.18558358,0.16596276,0.13869853,0.10651302,0.07450362,0.046665713,0.027893012,0.020919874,0.027495205,0.045850318,0.07290899,0.10284084,0.13272524,0.15987928,0.18507348,0.20579396,0.21912807,0.2202657,0.206698,0.17868231,0.14048053,0.10240104,0.07636014,0.07076176,0.08240383,0.10067949,0.11519595,0.12444037,0.13385566,0.1476094,0.16229422,0.16829814,0.15969722,0.14143911,0.12749992,0.12986906,0.1480463,0.17067927,0.18420655,0.18340354,0.17031616,0.15023114,0.12560776,0.098060876,0.071124576,0.05289215,0.051983666,0.07115718,0.10315815,0.13487738,0.15614809,0.16494995,0.16363393,0.15264715,0.12995355,0.09707563,0.06333759,0.042250484,0.04613519,0.07692053,0.12704538,0.1746922,0.20142166,0.19658442,0.1739362,0.15124524,0.14433178,0.14942726,0.15788995,0.15873714,0.14827622,0.12573035,0.096661754,0.07096519,0.057835624,0.058650717,0.06450019,0.065093726,0.055078585,0.038560223,0.022052089,0.010916833,0.005441343,0.003924615,0.003984514,0.004410973,0.00463558,0.004588762,0.0043252935,0.003965926,0.0035881463,0.0032321468,0.0035051918,0.007165499,0.020362385,0.049724873,0.09461563,0.14225759,0.17459439,0.18391025,0.17851166,0.17149831,0.16626823,0.15755047,0.14592116,0.13958251,0.14626902,0.15878102,0.16424274,0.15259057,0.12677346,0.094893746,0.06498451,0.040993888,0.023710074,0.012930772,0.00712963,0.0048449226,0.004246157,0.004454997,0.00583939,0.010354503,0.020340284,0.03525767,0.050129306,0.05721323,0.05242722,0.038367417,0.022629559,0.011304063,0.0059836633,0.004585633,0.0046679955,0.004884302,0.0048819776,0.0046465057,0.004506269,0.0072587854,0.018099513,0.043512743,0.08025382,0.11533997,0.12808858,0.11224244,0.0761644,0.040849615,0.01782678,0.008888228,0.0070673055,0.0075557497,0.007862548,0.007671239,0.0069110133,0.0072944686,0.012903988,0.029896766,0.058846157,0.09164093,0.11257488,0.11412716,0.10318124,0.09741325,0.10729921,0.12879823,0.14732553,0.15016182,0.13299058,0.10118091,0.065590896,0.03960353,0.03417222,0.056093976,0.10271826,0.16170226,0.21248834,0.23639554,0.2246347,0.18223314,0.12655553,0.07870004,0.057826053,0.06799971,0.10149904,0.13813938,0.16567226,0.17876256,0.18575756,0.18997608,0.19395883,0.19414896,0.19260083,0.18962334,0.18349983,0.16769321,0.13826768,0.099095784,0.0596988,0.029731601,0.012703967,0.007959694,0.013678782,0.029023787,0.051683087,0.07591655,0.09387318,0.10016316,0.0935761,0.078309596,0.0608542,0.051090557,0.056497443,0.08014357,0.113972425,0.14532669,0.16146588,0.16129802,0.15228873,0.14720277,0.1506554,0.15665862,0.15223552,0.12932932,0.092566125,0.054753352,0.029539282,0.022851156,0.033481702,0.052983154,0.06956741,0.07300606,0.06113255,0.040631477,0.021321496,0.009018513,0.003688899,0.0027068343,0.005626548,0.015842127,0.03829677,0.072863095,0.11116493,0.13917196,0.14862917,0.14156047,0.12887655,0.11925856,0.11598582,0.116039574,0.115289606,0.110091984,0.100361235,0.089554764,0.08342595,0.08536446,0.094424695,0.10529133,0.11160642,0.10818914,0.09334463,0.07009715,0.04491159,0.02510867,0.014792696,0.014694729,0.02132303,0.0295538,0.033247937,0.030225957,0.022012211,0.014086649,0.013176736,0.028369984,0.069486,0.1368516,0.21405669,0.26933345,0.27932808,0.24378277,0.1862135,0.13202898,0.09402647,0.07080277,0.05548088,0.042793166,0.030736722,0.019981721,0.012764409,0.0113529,0.01845407,0.03598978,0.06311846,0.09207404,0.11026519,0.10748849,0.08543395,0.057278458,0.040866043,0.04689541,0.07440411,0.10974749,0.13550435,0.13866484,0.11944217,0.08745199,0.055711735,0.031611267,0.017086608,0.00969731,0.006610954,0.00536243,0.0047820974,0.005349364,0.0090800105,0.021057814,0.045745175,0.08651387,0.1363219,0.18325025,0.2102579,0.21322553,0.1968057,0.17635971,0.16040267,0.15326017,0.15174155,0.15304816,0.15210843,0.14691256,0.13835238,0.13237739,0.13218717,0.13830419,0.14635082,0.15480937,0.16235413,0.17048232,0.17644995,0.17497142,0.158098,0.12474742,0.08254962,0.044839215,0.020105455,0.009570934,0.010272357,0.022178164,0.045595277,0.07845929,0.1098332,0.12828599,0.12490619,0.10355925,0.07280321,0.04552178,0.028713735,0.026706114,0.035529755,0.04839663,0.05631624,0.058015827,0.056930125]