[0.09139725,0.08920565,0.08589879,0.08373592,0.08234029,0.07779861,0.06727894,0.053007483,0.041698784,0.0403207,0.050388087,0.0687649,0.088932425,0.10547618,0.11383167,0.11183104,0.09912422,0.0782336,0.053963196,0.03172827,0.015592191,0.0064655524,0.0029349832,0.0024559519,0.0034384679,0.006612715,0.016281521,0.03897667,0.07776966,0.12570684,0.16603214,0.18269001,0.17363131,0.15139097,0.13324027,0.12534423,0.12336612,0.11636161,0.1003503,0.078381285,0.06250549,0.063489474,0.08532306,0.119906485,0.1532353,0.17502995,0.18354051,0.18410741,0.18165076,0.17976181,0.1791041,0.17875981,0.17372234,0.15773912,0.12915994,0.09554001,0.07220166,0.07108853,0.09379587,0.12750135,0.15550064,0.16565071,0.15892908,0.14372616,0.1275015,0.1103965,0.08921403,0.06647046,0.052748736,0.06110168,0.09459907,0.14319812,0.1879373,0.2161345,0.22531289,0.22230788,0.21162526,0.19565457,0.17490815,0.15257762,0.13247982,0.120197654,0.120877974,0.13684927,0.16079907,0.17963888,0.18055075,0.16386355,0.13953944,0.1213975,0.113466255,0.112140276,0.11045191,0.10610151,0.098463275,0.08726869,0.07282821,0.062182024,0.06683337,0.09588001,0.1438703,0.19288325,0.22265504,0.22810853,0.21899104,0.21002223,0.20415998,0.19480987,0.1725411,0.13844238,0.10254684,0.08297035,0.093310796,0.1361614,0.19611628,0.24983259,0.27810246,0.27728894,0.25702056,0.23226905,0.21449618,0.20641488,0.2032847,0.19887026,0.19244546,0.18901692,0.19011585,0.18997455,0.17913061,0.15934362,0.1448393,0.15199661,0.18315707,0.22326565,0.25300583,0.2591019,0.24106894,0.20561737,0.1670702,0.1433354,0.14927888,0.1862996,0.23647802,0.27520457,0.28484237,0.26792142,0.23550235,0.19807746,0.15657522,0.11250969,0.07383334,0.05665515,0.07612932,0.13313432,0.20801175,0.2647518,0.2757313,0.24020283,0.18758917,0.15232992,0.15180129,0.1790477,0.21660316,0.248438,0.2665505,0.2680316,0.25582102,0.23302592,0.20219682,0.16225134,0.116081834,0.072323225,0.044466738,0.042156618,0.065447815,0.103039496,0.13634,0.14856012,0.13441028,0.103978224,0.07707594,0.070151486,0.0868572,0.11614734,0.14143705,0.15010218,0.13901691,0.112877734,0.07980757,0.048384372,0.025171772,0.015092258,0.021906545,0.048621282,0.09407622,0.14919825,0.19831716,0.22730254,0.23196656,0.2190823,0.19987623,0.18227403,0.16892184,0.15835436,0.1486354,0.1363706,0.11951777,0.098172165,0.079341434,0.071489744,0.0796336,0.09938855,0.12339877,0.14561258,0.16400729,0.17577834,0.18000555,0.17959051,0.18216527,0.19029301,0.19719024,0.18989609,0.1621834,0.12021197,0.07994444,0.05600831,0.05387004,0.06679943,0.08190817,0.090084225,0.09391584,0.10354056,0.12515031,0.15174426,0.16953887,0.16884978,0.15141852,0.12553395,0.10063481,0.08412727,0.079645544,0.08436798,0.090123855,0.090426646,0.08892363,0.09537593,0.11661357,0.14468287,0.16530494,0.1677893,0.15922238,0.15302156,0.15837495,0.16698205,0.16715103,0.15324098,0.13374574,0.11671474,0.10534486,0.09656545,0.09070734,0.08916515,0.09048585,0.08797032,0.07576386,0.055922434,0.03755677,0.03161156,0.04256001,0.06634051,0.091355704,0.10686052,0.11034867,0.11135455,0.12156638,0.14384227,0.16587846,0.17367333,0.16430353,0.15011255,0.14481686,0.1492904,0.15307666,0.14302377,0.118683554,0.08870089,0.06874834,0.06626015,0.08003683,0.09748738,0.10776868,0.10696384,0.102938406,0.10579344,0.11869824,0.1348942,0.14246136,0.13635035,0.11885208,0.10100251,0.09253187,0.099330425,0.11626128,0.13182183,0.13549154,0.12770078,0.118464686,0.11814345,0.12832454,0.14252388,0.15362625,0.15836634,0.15707268,0.1483709,0.13110569,0.10457689,0.07435206,0.04812883,0.035353806,0.038790945,0.055785347,0.07729313,0.09741054,0.11296457,0.12425929,0.12718366,0.1171046,0.09292039,0.063453026,0.04253943,0.0411271,0.06040767,0.09208564,0.124636054,0.15022677,0.16798554,0.18004711,0.18685506,0.18587835,0.1751952,0.15528548,0.12901466,0.10200819,0.084535755,0.08776128,0.11542346,0.15639764,0.19095515,0.20289886,0.19056039,0.16426039,0.13777982,0.120099284,0.11294777,0.11377888,0.117242664,0.11857662,0.11279547,0.09886762,0.07881343,0.060560565,0.0530227,0.063965976,0.0926818,0.12937103,0.15761197,0.16536772,0.15394126,0.13763514,0.13155073,0.13715594,0.14197677,0.13116044,0.10317742,0.070224,0.050715104,0.05469601,0.0806924,0.11453674,0.14047982,0.14596532,0.1303071,0.099618964,0.06540594,0.036413,0.019682994,0.01867387,0.036203638,0.07035913,0.11521602,0.1581093,0.18948664,0.20272706,0.20228957,0.19361341,0.1858784,0.17989631,0.17268021,0.15482728,0.123264976,0.08320725,0.04936513,0.03616705,0.051768094,0.09095309,0.1371515,0.16878219,0.17577356,0.16413543,0.15028971,0.14333047,0.14050986,0.1338288,0.1217329,0.11131024,0.111391135,0.12416303,0.1422944,0.15367962,0.1522367,0.14384101,0.14344881,0.16024959,0.1897682,0.21666902,0.23004548,0.22928755,0.221465,0.21073692,0.19597995,0.17412943,0.14811136,0.13037276,0.1368031,0.17376603,0.22984946,0.28128222,0.30874816,0.3078656,0.2895031,0.26933533,0.2570875,0.2534556,0.2520715,0.2507431,0.2510775,0.25575,0.25909147,0.25168952,0.2301706,0.20427392,0.18982498,0.1964006,0.21806876,0.24238968,0.25604144,0.25821322,0.2508308,0.24318959,0.23728819,0.23489742,0.2277664,0.21056621,0.17995405,0.14454444,0.1178615,0.11342108,0.13462783,0.17229976,0.20969008,0.23040845,0.22574423,0.19574165,0.15055688,0.10948431,0.0969182,0.12757818,0.19406754,0.26436985,0.30481845,0.30156815,0.27040344,0.236507,0.21576832,0.20511635,0.19357218,0.17260069,0.14387242,0.11722643,0.10442855,0.110640705,0.12985252,0.14990765,0.15965892,0.15769662,0.15202558,0.15715764,0.18032958,0.21493071,0.24125361,0.24643046,0.23165454,0.21090569,0.19062907,0.16995484,0.14363706,0.117062144,0.100022405,0.10047829,0.11358422,0.1272961,0.13151398,0.12678923,0.12161387,0.12576097,0.1441739,0.17663075,0.2153353,0.24831967,0.2624043,0.25433835,0.23119909,0.20854028,0.1979276,0.20095001,0.20609355,0.19873984,0.17299645,0.14132479,0.12433076,0.13665436,0.17110515,0.20901394,0.23079199,0.23227304,0.21759021,0.19400066,0.16473551,0.13421072,0.110574864,0.1016689,0.10831654,0.12116369,0.1274714,0.118222676,0.09380624,0.062049806,0.033524398,0.015885616,0.012686223,0.025802402,0.056980204,0.10582211,0.16767399,0.23157243,0.28652027,0.32287288,0.34124708,0.34524146,0.34165716,0.33052966,0.3122562,0.2887529,0.2679141,0.2590228,0.26845932,0.2953178,0.32778633,0.34691444,0.33765888,0.30368957,0.2684656,0.25792107,0.27725336,0.3054875,0.3159879,0.30244434,0.2817892,0.27435073,0.28095728,0.2877619,0.28147483,0.26379886,0.24425454,0.2314846,0.22723605,0.2275669,0.22359188,0.20619267,0.17323577,0.13869746,0.12730934,0.15917219,0.23079054,0.31178123,0.36486885,0.36866188,0.33372644,0.28619242,0.25155884,0.23667179,0.23688626,0.24077769,0.24066235,0.23285519,0.22065069,0.20718734,0.19408756,0.17766027,0.16231738,0.16076154,0.19414787,0.26831725,0.36838183,0.46091285,0.5192223,0.5382318,0.5316808,0.52029926,0.51107264,0.5010456,0.47259653,0.41609752,0.32937196,0.2331164,0.15495482,0.12517506,0.15315624,0.22587001,0.30752325,0.3644472,0.3789654,0.3599575,0.32856122,0.3050227,0.29230273,0.27887127,0.2496919,0.20568335,0.1637498,0.14571337,0.15838325,0.19611965,0.24600083,0.3017838,0.35667476,0.40687594,0.44467577,0.4701513,0.48528576,0.49817392,0.5085828,0.5106816,0.4885888,0.43254957,0.34269992,0.23803203,0.14497074,0.08856227,0.07693589,0.09940851,0.13091566,0.14734644,0.13772166,0.10887026,0.07816171,0.06277051,0.07051737,0.0988693,0.13532774,0.1645812,0.17241909,0.15662436,0.12765336,0.106572025,0.11043034,0.14193474,0.18729149,0.22520654,0.24117391,0.23581447,0.22398217,0.22572172,0.25031385,0.29288796,0.33271524,0.35469902,0.3513899,0.33174726,0.29965445,0.2591664,0.2119809,0.17688899,0.17718785,0.22493148,0.3016521,0.36818174,0.39499912,0.37787125,0.33987746,0.30243027,0.27847517,0.2622753,0.24672957,0.22397651,0.19451506,0.16207837,0.13566664,0.12511623,0.13505101,0.15863617,0.17921615,0.18460649,0.17772251,0.17290342,0.18108563,0.1972761,0.21015662,0.20903671,0.1962241,0.17633939,0.15951534,0.15150465,0.15663773,0.16973053,0.1809179,0.18040375,0.16771837,0.15302102,0.1503778,0.16594334,0.19251479,0.21498401,0.22266848,0.21630406,0.20598334,0.20150554,0.20271336,0.19850944,0.17796241,0.14494003,0.118383564,0.11749739,0.1437821,0.18121195,0.20664708,0.20596747,0.17851473,0.13863017,0.106921904,0.099781774,0.11911851,0.15138477,0.17945278,0.19183774,0.190346,0.18240602,0.17868555,0.18356238,0.19571806,0.20449442,0.19923882,0.17664045,0.14906906,0.13511117,0.14444166,0.16730775,0.18447767,0.18693884,0.18206574,0.1828339,0.18955044,0.19068028,0.17502934,0.14608158,0.119177125,0.1092039,0.11777607,0.13394918,0.14391905,0.14222169,0.13137724,0.115785144,0.09647697,0.07433512,0.05339153,0.039154943,0.032920282,0.030509679,0.02662977,0.020004036,0.013298559,0.009594702,0.0091887675,0.010147429,0.010937125,0.012755692,0.019228572,0.03360443,0.05604266,0.083215944,0.11016502,0.13259397,0.14703266,0.15188092,0.14730477,0.13644981,0.12277884,0.10889425,0.09532676,0.082372434,0.069902085,0.057507712,0.044880714,0.034349825,0.03106831,0.03902408,0.057396572,0.07980943,0.10061985,0.117967494,0.13369887,0.14856704,0.15900373,0.16133831,0.15471196,0.14517516,0.13745631,0.13144033,0.12084497,0.103286274,0.08558766,0.080200456,0.094437994,0.12315645,0.15354471,0.17406388,0.18229036,0.18184747,0.177393,0.16932756,0.15569548,0.13512143,0.11049103,0.08875058,0.07935891,0.08781881,0.11303493,0.14421551,0.16945504,0.17872782,0.17088707,0.14850499,0.11783854,0.08452857,0.054368142,0.031488676,0.01745466,0.011099978,0.00984322,0.012318994,0.019300459,0.032274738,0.050678343,0.07095403,0.08796426,0.09790648,0.09889677,0.09138873,0.0774769,0.061624084,0.04956008,0.04559729,0.050515532,0.061043266,0.07362192,0.08543867,0.09530533,0.10095561,0.101310216,0.0975979,0.09414487,0.093272604,0.09331445,0.09021216,0.08447335,0.08075243,0.08484811,0.09513172,0.10520712,0.1063445,0.09596185,0.076416664,0.054221604,0.034696553,0.02169449,0.017621951,0.025508948,0.045551408,0.07390979,0.1003188,0.11702757,0.1204935,0.116347045,0.111155756,0.112828456,0.12368518,0.14097105,0.15457311,0.15452124,0.1375816,0.1094306,0.079799525,0.05696432,0.046788752,0.05236399,0.07250037,0.10187182,0.13339676,0.16279149,0.18587177,0.19907121,0.19839668,0.18694432,0.17111228,0.15818317,0.14718466,0.1343395,0.117272526,0.10278261,0.10018557,0.11374567,0.13559803,0.15244381,0.1549797,0.14489791,0.13049491,0.12168878,0.12320647,0.13531543,0.1519916,0.16737811,0.17741482,0.18357329,0.18691134,0.18713433,0.18145971,0.17099242,0.15875526,0.1490178,0.14038883,0.13189681,0.12417805,0.12449374,0.13645463,0.15712011,0.17527486,0.1825344,0.17774148,0.1676486,0.15954183,0.15696514,0.156857,0.15275548,0.14040847,0.12415559,0.11533361,0.12247384,0.14127626,0.15566353,0.15139736,0.12915029,0.1048413,0.094996296,0.10307846,0.11745506,0.12423354,0.117915384,0.10385608,0.09028698,0.082329646,0.07985673,0.079281114,0.07660275,0.070048735,0.061025824,0.051996544,0.04348286,0.034843087,0.025587386,0.017276678,0.011833181,0.011470581,0.018590778,0.03431586,0.057131868,0.0814775,0.1040512,0.12620793,0.15423365,0.1872049,0.21300071,0.21269155,0.17877102,0.122386456,0.06635778,0.027592542,0.008881702,0.0034447357,0.004172119,0.008181478,0.014677049,0.022197554,0.027560784,0.028151607,0.023630574,0.016469462,0.009715088,0.005313242,0.003924363,0.0066399467,0.016240796,0.034798235,0.060189616,0.083413534,0.093911685,0.08621388,0.06530633,0.04165563,0.024509067,0.01629507,0.014707103,0.017316503,0.025382107,0.043846965,0.07514206,0.1147453,0.14949252,0.16678019,0.16068275,0.13617992,0.1033055,0.07368983,0.055252012,0.050773423,0.05630971,0.064920425,0.070915006,0.07298008,0.07232375,0.070059896,0.06565031,0.058079664,0.047291305,0.035248395,0.025654763,0.023163693,0.031836744,0.05377684,0.087238126,0.1259766,0.1601721,0.1808145,0.18282591,0.16711766,0.13812001,0.10381788,0.072499014,0.050726652,0.03858119,0.031484295,0.025256211,0.020761522,0.023463955,0.03677646,0.05878787,0.080987714,0.094597064,0.09416435,0.08086165,0.05995646,0.038220912,0.020937609,0.010511673,0.0066829645,0.0070658624,0.009174727,0.01144586,0.0145742,0.019448841,0.025799194,0.031788412,0.037807554,0.04815455,0.06629865,0.09017273,0.11146838,0.12603138,0.1351342,0.1423375,0.14326619,0.13075286,0.10276067,0.069106735,0.0450663,0.042994227,0.06626595,0.107177906,0.14886831,0.17113899,0.16256051,0.12695433,0.081513554,0.04435496,0.025946781,0.026616799,0.040626172,0.05974297,0.07610848,0.08542153,0.08829527,0.08923995,0.0917005,0.095326416,0.09610549,0.0903546,0.077701926,0.0617706,0.04806419,0.040575158,0.03986739,0.04332587,0.04827943,0.053383354,0.05844675,0.06289031,0.06684968,0.07233705,0.0823501,0.09740722,0.114058994,0.12659271,0.13098927,0.12582976,0.11269763,0.09415758,0.07460699,0.05783012,0.046435636,0.039431665,0.03436133,0.028909015,0.023224888,0.020982431,0.029000783,0.055611074,0.101517655,0.15670845,0.20073813,0.21998309,0.21297915,0.19213153,0.16836756,0.1482346,0.13156708,0.11780352,0.10665528,0.10053406,0.10450202,0.12157134,0.14941628,0.17716138,0.19586466,0.2006309,0.195996,0.18679322,0.1797548,0.17929226,0.18688744,0.19795598,0.20257433,0.19745429,0.18613167,0.17959072,0.1789876,0.1810339,0.17997678,0.18355672,0.20122534,0.23620515,0.27136993,0.28509668,0.26642755,0.22891468,0.19613403,0.18326385,0.18516023,0.18632787,0.1757888,0.15472929,0.13002862,0.10631004,0.083111525,0.059912723,0.040922824,0.036192473,0.05792779,0.10968554,0.1798809,0.24224436,0.27402854,0.26932654,0.24087642,0.20581906,0.17438585,0.15058452,0.13729672,0.13952838,0.15884589,0.18893568,0.21685457,0.23061763,0.22738612,0.2123438,0.19475548,0.18391497,0.18911909,0.21577246,0.2566453,0.2928686,0.3036597,0.2856624,0.25092155,0.21811469,0.19393732,0.17712057,0.16388488,0.15817712,0.16435559,0.1805997,0.19459502,0.19271095,0.16970094,0.13236628,0.09299772,0.061052963,0.039478917,0.026501246,0.019021237,0.0145428805,0.012519777,0.014475743,0.024647633,0.04596865,0.07810032,0.11202607,0.1381336,0.15134604,0.16475224,0.19646579,0.25840876,0.33260718,0.38649273,0.387669,0.3348702,0.2492035,0.16660136,0.1098138,0.086557716,0.08514199,0.090227626,0.0884071,0.07664748,0.05879976,0.044096872,0.04221493,0.058769796,0.09122839,0.12909953,0.16013353,0.17571217,0.17421888,0.16102077,0.14695488,0.14271925,0.15104775,0.16386557,0.16778894,0.15395916,0.12378696,0.08830548,0.062887125,0.060086492,0.08166063,0.1156894,0.14186879,0.14625503,0.13141316,0.11355547,0.10720962,0.11281199,0.12022141,0.120088466,0.11309942,0.10536143,0.10024222,0.095033,0.0847007,0.0693642,0.05282246,0.040223602,0.032630343,0.030655429,0.035575505,0.049697112,0.07067537,0.09061989,0.09991769,0.095505595,0.08366337,0.074596606,0.07439654,0.07988348,0.08471572,0.08354431,0.07702679,0.0664831,0.053989362,0.040348463,0.028682401,0.023457961,0.030671159,0.054606598,0.094979264,0.14330773,0.18390739,0.20096773,0.1889251,0.15899229,0.13310069,0.12835267,0.14345731,0.16003238,0.16001652,0.14072691,0.11831463,0.11206055,0.13118185,0.1662922,0.19998936,0.2158948,0.21064408,0.188486,0.15828425,0.12413897,0.08962366,0.057998005,0.036131807,0.029772809,0.040661905,0.063906744,0.09011302,0.11004413,0.118262924,0.113865055,0.099311054,0.07923338,0.061226096,0.05266389,0.0585524,0.076684274,0.101563536,0.124720536,0.14224674,0.15232912,0.15799665,0.15901075,0.15250452,0.13453268,0.107740276,0.08308392,0.06952417,0.06768974,0.06707577,0.06120323,0.052231196,0.05226816,0.068113916,0.09703299,0.12622952,0.14519943,0.14958633,0.14250733,0.12747176,0.10798737,0.087807655,0.07358395,0.07039529,0.07815788,0.09003017,0.09846708,0.09937087,0.094371766,0.08692551,0.0797138,0.07246646,0.06451058,0.05748141,0.05721225,0.06873735,0.09216144,0.11823813,0.1366149,0.14018445,0.13299045,0.12256443,0.116139315,0.113693744,0.11110655,0.103465654,0.088811696,0.07094046,0.058841463,0.06444976,0.09388741,0.14183347,0.19059043,0.22186042,0.22851883,0.22119902,0.21997143,0.2390461,0.27669135,0.31413665,0.33021542,0.31103188,0.2606733,0.19375117,0.12961887,0.07997199,0.048141625,0.03017816,0.02105502,0.016852483,0.015277053,0.01476555,0.014369834,0.013871241,0.013576168,0.013905584,0.015113242,0.017240057,0.019950874,0.02469877,0.036904242,0.067793585,0.12473685,0.20187406,0.27381313,0.31236804,0.30365992,0.25894722,0.20110066,0.14909677,0.108521216,0.077269234,0.05436997,0.045144435,0.058520585,0.09677217,0.14880973,0.19125772,0.20577322,0.19252555,0.17387934,0.17554052,0.2077868,0.25380817,0.2833411,0.27211776,0.22110184,0.15297364,0.09874817,0.07987998,0.09762457,0.13625427,0.17022353,0.18509638,0.18023695,0.17021202,0.16487837,0.16624896,0.1665866,0.16082251,0.14980647,0.13983579,0.13539977,0.13569134,0.13618027,0.13328163,0.12776755,0.12344673,0.12694465,0.14131238,0.1649156,0.1861312,0.19436938,0.18601555,0.17193645,0.16653167,0.17661326,0.19528364,0.20938243,0.21298786,0.21043195,0.20980673,0.21243815,0.21373545,0.20955573,0.20016026,0.18793207,0.17387648,0.15852123,0.14246966,0.12781249,0.11699394,0.11337962,0.118834265,0.13292877,0.15214795,0.17211659,0.18760802,0.19591463,0.19912674,0.20849724,0.23385032,0.2736026,0.3067745,0.31231162,0.28554836,0.24423091,0.20792787,0.18289007,0.1633728,0.14447759,0.1290627,0.12099581,0.120761216,0.12511498,0.13190652,0.14006777,0.1474837,0.15059476,0.14564027,0.13282874,0.11701884,0.10643966,0.10688514,0.11704228,0.13005769,0.13811918,0.13880333,0.13340192,0.1252205,0.115460984,0.1039679,0.09072859,0.0782977,0.073408246,0.081967056,0.10498673,0.13326734,0.15535384,0.16333331,0.16074528,0.15479295,0.15173846,0.14989538,0.14606507,0.13761413,0.12676486,0.11562553,0.106218554,0.098731376,0.09496951,0.09641141,0.10272167,0.10872059,0.10794678,0.09798495,0.08397094,0.07477885,0.07587115,0.08522455,0.095241,0.098106265,0.090445064,0.07503014,0.05935924,0.051402077,0.054405417,0.06514039,0.076104224,0.08132743,0.078591935,0.06936102,0.05591662,0.041013863,0.028121373,0.021458017,0.024552464,0.037155762,0.054716084,0.069242306,0.074794024,0.06959695,0.057411607,0.04357628,0.035750017,0.041840132,0.06943657,0.113702975,0.15720727,0.17384188,0.15525126,0.11636191,0.0942958,0.118713476,0.19706732,0.30356368,0.39637184,0.4386501,0.42154226,0.3629911,0.29300135,0.23318578,0.19194515,0.16688329,0.15309069,0.14480533,0.14040177,0.1431414,0.16111507,0.19570714,0.23451565,0.25490734,0.24332474,0.20709349,0.16760929,0.14070745,0.12588663,0.11270187,0.093816854,0.0717099,0.056240767,0.056498986,0.07605502,0.10939931,0.14647377,0.1759757,0.19189866,0.19411688,0.18685092,0.17498149,0.16019614,0.14294429,0.123035215,0.10599909,0.100884475,0.11956325,0.16215579,0.21669705,0.2582178,0.27232596,0.2575065,0.23088664,0.20778121,0.19911145,0.20284097,0.21162839,0.21556252,0.2091664,0.19252336,0.17049934,0.1491815,0.13419713,0.1282385,0.13200359,0.14337195,0.15944026,0.1757146,0.18691744,0.18890218,0.1812212,0.16953342,0.16072966,0.15896009,0.16125642,0.16195635,0.15664633,0.1451071,0.13153423,0.1226973,0.12647314,0.14379852,0.16657989,0.18012653,0.17610781,0.15696375,0.13331002,0.11579753,0.1122148,0.12540412,0.14906001,0.16747,0.16463135,0.13818869,0.102662005,0.07711941,0.07082171,0.07772919,0.08711138,0.092346095,0.09645035,0.10361138,0.11391699,0.119474016,0.11312934,0.094716795,0.074580945,0.06384098,0.06623065,0.073947154,0.077591926,0.07471644,0.07288838,0.08012584,0.09724235,0.116261505,0.1275928,0.12575148,0.11225011,0.09397613,0.0802131,0.07684549,0.08373558,0.095191,0.106515236,0.1146887,0.119308196,0.118410416,0.11312314,0.10636731,0.103769876,0.10644158,0.112475954,0.11766579,0.120876215,0.12177652,0.12051213,0.11551675,0.1063396,0.09321322,0.077866875,0.06169911,0.046421167,0.034416255,0.029383816,0.037222758,0.062042296,0.10430632,0.1542616,0.19810508,0.2217582,0.22319333,0.20872562,0.18918456,0.16990481,0.15310197,0.14141376,0.1392672,0.14683644,0.1559934,0.15605761,0.14423624,0.12959926,0.12451506,0.13239792,0.14507885,0.15106095,0.14790653,0.14238667,0.1432746,0.1498714,0.15522681,0.15323244,0.14934748,0.15638901,0.18761742,0.24142344,0.3012145,0.34254095,0.3568906,0.35336173,0.34790814,0.33949137,0.31733987,0.2772069,0.23608531,0.21633367,0.22623901,0.25104916,0.26574242,0.2557816,0.22731514,0.2037015,0.2046382,0.23176984,0.26595345,0.28353253,0.2726344,0.23601496,0.18563081,0.13308948,0.09099007,0.06857639,0.06919368,0.084539294,0.09945014,0.10164803,0.089809746,0.074871756,0.07002815,0.081821136,0.10375377,0.12409601,0.13528873,0.14062347,0.14787088,0.1599709,0.173322,0.18617797,0.20643796,0.24512903,0.29969612,0.3468733,0.3566804,0.3190106,0.25379235,0.19486564,0.16468441,0.1610014,0.16943987,0.1739403,0.1684146,0.15061618,0.1273818,0.109337755,0.10931768,0.1299922,0.16147663,0.1881811,0.20088057,0.20277245,0.20260797,0.2058143,0.21023707,0.21021302,0.20249617,0.18943374,0.1783913,0.17833556,0.19182122,0.21182065,0.22205418,0.21284969,0.18865424,0.17014153,0.17480661,0.20262031,0.23409975,0.24582024,0.23202436,0.20687537,0.19990587,0.23146613,0.30446467,0.38961625,0.44766307,0.44576225,0.3903137,0.31178918,0.24677981,0.20724647,0.18635981,0.17076938,0.1540202,0.13790043,0.12635966,0.12277195,0.12527256,0.13140208,0.13848199,0.14780428,0.15856653,0.16968815,0.17814158,0.18295442,0.18306987,0.17716531,0.16543406,0.14994438,0.13586086,0.1264986,0.12372682,0.12591265,0.13140512,0.13741921,0.14162302,0.14058894,0.13283242,0.11997059,0.10903456,0.107520185,0.11927559,0.13998689,0.16156363,0.1756006,0.17730166,0.16457085,0.13855328,0.10431835,0.070984915,0.049147382,0.046746064,0.06306571,0.087892465,0.105523676,0.10799769,0.10201288,0.104233354,0.1255427,0.15968002,0.18897016,0.19784032,0.18540482,0.16186374,0.13905682,0.120316,0.103292525,0.08695649,0.077368386,0.081075616,0.098178186,0.11903993,0.1334474,0.13603364,0.12906484,0.115517445,0.09934009,0.08492658,0.0809559,0.09271421,0.11901426,0.14839436,0.1716877,0.18488596,0.19347243,0.19879842,0.19870514,0.1854682,0.15843411,0.1232244,0.09126835,0.06938725,0.058598112,0.05570084,0.060830187,0.07592207,0.10054532,0.124706924,0.13604437,0.12708922,0.10578051,0.08781725,0.09118237,0.12306094,0.17959203,0.2431673,0.29030862,0.30269727,0.27913213,0.2402054,0.21132274,0.20591302,0.21460754,0.22189696,0.22228824,0.22305252,0.2316107,0.2457999,0.2608614,0.2758832,0.29144648,0.302559,0.29896244,0.27906686,0.25142887,0.22929917,0.21407156,0.19789048,0.17135622,0.13582252,0.10216323,0.08366757,0.086496316,0.10605017,0.13109563,0.15110256,0.1606779,0.15824616,0.14520039,0.12669976,0.11318774,0.11379636,0.12982564,0.15141378,0.1656093,0.1636732,0.14517204,0.11501346,0.080847055,0.049970675,0.027475545,0.014578347,0.010850109,0.017493408,0.038084578,0.073141575,0.113473356,0.14295386,0.1500271,0.13975264,0.12796132,0.127026,0.13301174,0.13312267,0.117702134,0.089570455,0.05848063,0.03361611,0.018422863,0.012342852,0.013958157,0.021247208,0.03151784,0.04066108,0.04666241,0.049202766,0.050432716,0.052538265,0.060236514,0.07719081,0.10288062,0.12664707,0.13513489,0.12066112,0.08961218,0.055282947,0.029479025,0.015447828,0.011168274,0.014201295,0.02440464,0.041976318,0.06372114,0.08310404,0.093124755,0.09155327,0.08161959,0.070313446,0.063413225,0.06286524,0.06594428,0.06795187,0.06607387,0.06141619,0.057791647,0.057351436,0.05850934,0.057170358,0.050931618,0.04107796,0.031076148,0.02414389,0.024116425,0.037633736,0.07282614,0.12797584,0.18776022,0.22826447,0.24072593,0.2330275,0.22184177,0.20811819,0.18380626,0.14628233,0.11539317,0.123675235,0.18851781,0.29412264,0.39100444,0.43488184,0.41463044,0.3662512,0.3360107,0.34721074,0.381685,0.4042875,0.38942185,0.33661214,0.26286754,0.1926666,0.14573188,0.1288298,0.1298783,0.12889194,0.11252057,0.08586327,0.06438984,0.06362513,0.08879868,0.1337846,0.1822804,0.21572621,0.22505002,0.21647222,0.20316331,0.19130369,0.17591842,0.15494688,0.13861553,0.14487693,0.17637467,0.21310097,0.22538655,0.20374508,0.16803361,0.15089308,0.1669067,0.20229012,0.22888803,0.22970736,0.20625453,0.17298837,0.14270245,0.12605922,0.12749058,0.14637953,0.1714335,0.18855761,0.18946189,0.18019553,0.17508204,0.18520796,0.20837568,0.23363645,0.2495025,0.25347105,0.24877816,0.2420698,0.23713112,0.23476131,0.23358059,0.23353875,0.23699766,0.24417998,0.2505388,0.25078192,0.24491651,0.23996978,0.2393062,0.2404858,0.23509748,0.22329108,0.21082264,0.20788197,0.21287207,0.2174532,0.20747252,0.17882557,0.13532865,0.091187365,0.05993272,0.05105539,0.062917255,0.085591175,0.10683382,0.12066511,0.12973739,0.1396604,0.15215884,0.16326337,0.16878776,0.16872013,0.16611755,0.16221696,0.15608488,0.14950643,0.1513892,0.17003083,0.20448762,0.23862739,0.25696436,0.25248078,0.23376597,0.2110916,0.19586988,0.19504751,0.21193421,0.23754644,0.2545353,0.24851346,0.22193651,0.19114302,0.1720093,0.1680366,0.17221129,0.17913006,0.18718147,0.19460887,0.19126926,0.16885598,0.13011064,0.09186944,0.07031687,0.07027965,0.08449951,0.10186919,0.113346875,0.11497587,0.10810069,0.098865725,0.09277827,0.091809064,0.09302482,0.09427179,0.09553391,0.0994426,0.106089406,0.11236751,0.11402754,0.109861106,0.103666216,0.0989663,0.09699767,0.09356443,0.086051576,0.073783085,0.0624879,0.05764374,0.06353015,0.07619235,0.08797401,0.089453675,0.07922664,0.06375264,0.057756554,0.07268909,0.11180526,0.16146801,0.20118862,0.21134435,0.19188268,0.1592521,0.13792098,0.14004438,0.15986226,0.18063842,0.18879806,0.18348002,0.1767586,0.18097967,0.20110889,0.22540323,0.24364078,0.25079897,0.25761208,0.26985347,0.2864,0.2947992,0.2878233,0.26745653,0.24423593,0.22756799,0.21832149,0.21235664,0.203871,0.19414695,0.18714511,0.18911378,0.20000972,0.21373141,0.21991275,0.21335463,0.19857897,0.18456893,0.17445941,0.16191164,0.13948566,0.10975787,0.086630374,0.085097186,0.10638958,0.13489503,0.14788668,0.13483898,0.10374784,0.07558987,0.065841556,0.076563634,0.09596973,0.11077414,0.113343865,0.1051068,0.09083525,0.07513483,0.06109932,0.051968012,0.050672155,0.057302028,0.06904221,0.081471,0.0925759,0.10196224,0.110943176,0.11921165,0.12628923,0.13035256,0.13161804,0.13067292,0.13052914,0.13219877,0.13633595,0.1394841,0.1382097,0.1286401,0.11254102,0.096796624,0.091417365,0.10178443,0.123797834,0.14705972,0.16123956,0.16262265,0.15303783,0.1385115,0.1271696,0.12597957,0.13631321,0.14976989,0.15582858,0.15129411,0.14758694,0.15949363,0.191696,0.23070495,0.25677612,0.2569893,0.23482941,0.20368291,0.18070167,0.17587125,0.189852,0.21102256,0.2246086,0.22061169,0.20354237,0.18917708,0.19310176,0.21745151,0.24699132,0.26350328,0.25871903,0.24242203,0.23135309,0.2391433,0.26756418,0.3061556,0.3378154,0.34534037,0.32133034,0.2693949,0.20302945,0.13737306,0.08382234,0.046862245,0.02506183,0.014323842,0.010919458,0.013860268,0.0250749,0.04642862,0.07578669,0.1050236,0.12421942,0.12948598,0.12568034,0.12337107,0.12703389,0.13367353,0.13358818,0.123616286,0.107607774,0.0972068,0.10041826,0.11852781,0.14227973,0.16030417,0.16500412,0.15964891,0.15031253,0.14054817,0.12561585,0.10424521,0.08367645,0.08167407,0.10824259,0.15650481,0.20102628,0.2196875,0.20653538,0.1744097,0.13917907,0.11217735,0.10059104,0.11201918,0.14738767,0.1945721,0.2306844,0.24183697,0.23370802,0.22506867,0.22768867,0.23561524,0.23768342,0.23050483,0.2266149,0.23730709,0.26295695,0.2884842,0.29993525,0.29349744,0.27677026,0.25747183,0.23911934,0.22111408,0.20309259,0.18342566,0.15960427,0.13114478,0.104854025,0.095314205,0.11377296,0.15699129,0.20278911,0.22573377,0.21380581,0.17578119,0.13219844,0.102929376,0.10247222,0.13324732,0.18592487,0.23674934,0.26446483,0.25803694,0.22552764,0.18234563,0.14416806,0.11935634,0.110218436,0.116185166,0.13371597,0.15745783,0.17889194,0.19297427,0.19886732,0.20101053,0.20009446,0.19267553,0.17160864,0.1369569,0.09875667,0.07558476,0.08093352,0.1121918,0.14909278,0.16690266,0.15383655,0.118041486,0.081109166,0.06428193,0.07761196,0.116269864,0.16451083,0.20614977,0.23428464,0.25113443,0.26104647,0.26219293,0.25101873,0.22844784,0.204338,0.19067574,0.1913337,0.19955052,0.20154744,0.18962811,0.1639437,0.13223174,0.10014095,0.07098079,0.045680657,0.026760481,0.01783494,0.022901654,0.04296118,0.07268786,0.10041564,0.115546584,0.11760638,0.11665452,0.12289026,0.13646895,0.14840198,0.15042402,0.14166659,0.12734152,0.11223263,0.09827208,0.08521799,0.07332244,0.0629543,0.054542314,0.04844861,0.046423033,0.049872607,0.058470726,0.06850018,0.076244615,0.07983911,0.08062338,0.080363385,0.07983059,0.078159876,0.07497246,0.071837135,0.07281169,0.08025926,0.09241911,0.10297989,0.1082752,0.11111496,0.11799675,0.13143088,0.14466576,0.14955674,0.14204359,0.1278873,0.113555394,0.104600586,0.10211229,0.10996006,0.1304592,0.16406517,0.2021581,0.23633133,0.25857255,0.26738644,0.2586305,0.23179054,0.19101912,0.15177429,0.12848245,0.12490412,0.12917173,0.12590726,0.1083991,0.08173446,0.056616683,0.04198821,0.044755798,0.067122154,0.10476873,0.14342588,0.16724885,0.16851683,0.15312694,0.13518655,0.12577315,0.12919228,0.13988303,0.14971669,0.14873827,0.13416941,0.1085867,0.081532985,0.061752256,0.05504324,0.060470533,0.07220757,0.082366735,0.08538052,0.08053238,0.07109171,0.06130423,0.053438704,0.04672311,0.039281685,0.030163044,0.021399068,0.017655322,0.025654072,0.05063528,0.09148374,0.13723618,0.17143895,0.18211293,0.16954713,0.14423908,0.118947566,0.10200882,0.0955781,0.0968236,0.098821305,0.09451676,0.080864735,0.06347165,0.054040935,0.06337244,0.0937734,0.136285,0.17690186,0.2023863,0.20743652,0.19218333,0.16347128,0.1299495,0.104183644,0.09483784,0.104860455,0.12527175,0.14251833,0.14545745,0.13496737,0.12260988,0.121669434,0.1369423,0.16104357,0.18245547,0.19248138,0.18991105,0.1771369,0.16070114,0.14773242,0.14449924,0.14995886,0.15785854,0.16085713,0.15607572,0.1446268,0.12853761,0.11008993,0.092525326,0.0815198,0.08224132,0.09510236,0.11309192,0.12457681,0.12053955,0.099965155,0.07017634,0.04122961,0.020257376,0.008713893,0.00413597,0.003178526,0.004463599,0.008991574,0.019997569,0.038838204,0.06302175,0.083254166,0.09053388,0.08032053,0.058766443,0.035582263,0.019522822,0.012979736,0.016306296,0.030711247,0.056648035,0.08987471,0.117824756,0.12817071,0.11596951,0.092248045,0.07675153,0.087132335,0.12433221,0.17079854,0.20196362,0.20211269,0.17495473,0.13701811,0.10917368,0.10200039,0.11497396,0.13499057,0.15118647,0.1586287,0.1614828,0.16113232,0.15517211,0.14142038,0.12638573,0.12306082,0.13902205,0.1685193,0.19551033,0.2083358,0.20571841,0.19484377,0.17966332,0.16203375,0.14166011,0.12256565,0.10744238,0.09928281,0.097248286,0.09823846,0.09565928,0.08505491,0.06823147,0.0519866,0.041420583,0.03530964,0.029551117,0.022001216,0.014712292,0.011983476,0.018694174,0.039595086,0.07497504,0.11897075,0.15822895,0.18172564,0.18440838,0.17179143,0.15177086,0.13183044,0.11359471,0.096690975,0.08073828,0.06915636,0.066001385,0.073018305,0.086273156,0.09940965,0.10675803,0.10795355,0.106362164,0.10688517,0.11022312,0.113032006,0.10964786,0.097707026,0.07966832,0.06252337,0.05346459,0.05546323,0.06471652,0.07314739,0.073782355,0.06483761,0.04929843,0.03231981,0.018082755,0.008767497,0.004082446,0.0029453693,0.005055201,0.012253642,0.026796667,0.04829691,0.07146877,0.08905209,0.09684511,0.09778591,0.09750285,0.0997492,0.102040775,0.10195037,0.099421315,0.09865261,0.101192705,0.10476467,0.10481068,0.09965604,0.09164969,0.08389776,0.077159464,0.07001239,0.06272959,0.06022188,0.06863754,0.08908671,0.11361625,0.13048828,0.1331128,0.12421054,0.1124784,0.10493959,0.10401777,0.10767154,0.112258434,0.1136229,0.10816971,0.09427664,0.073459245,0.05097051,0.033604126,0.027294733,0.033036623,0.04653291,0.0594926,0.06547174,0.06245099,0.053958043,0.045692697,0.04415251,0.05253324,0.069669746,0.08815622,0.10014916,0.10060013,0.090652384,0.07407423,0.055835817,0.04067528,0.03350528,0.036953673,0.049654722,0.065427996,0.077845864,0.08271126,0.080548376,0.07369771,0.0657188,0.0598985,0.058680996,0.062391564,0.06796653,0.07164603,0.07033413,0.06481392,0.057618182,0.052754726,0.05200951,0.05491224,0.05821791,0.059079677,0.056487974,0.0518264,0.04644534,0.040571857,0.03329251,0.0256608,0.021840245,0.029839626,0.05582252,0.100017555,0.15104015,0.1927075,0.21112573,0.205944,0.18645383,0.1662755,0.1526593,0.14598003,0.13973112,0.12691061,0.10367777,0.07414086,0.047195625,0.03200004,0.030999025,0.0402391,0.051793814,0.059403002,0.060566023,0.057301957,0.054333847,0.056035746,0.06412531,0.07629916,0.08907265,0.099357404,0.10618681,0.10957283,0.110502094,0.11058987,0.11103911,0.112385094,0.11405337,0.11649158,0.12118711,0.13060717,0.14497703,0.15988158,0.16779692,0.16247667,0.1454419,0.12356659,0.10687294,0.101008706,0.10741901,0.11948643,0.1276468,0.12445393,0.113320775,0.1045945,0.105296694,0.11054155,0.108427234,0.09305325,0.07009144,0.05271295,0.04887047,0.05813979,0.07190597,0.08303708,0.08704867,0.08536134,0.08044524,0.076055594,0.07373196,0.0733412,0.07366536,0.073724784,0.07317699,0.07010922,0.062474567,0.05003122,0.036852773,0.028001294,0.025386974,0.025866503,0.024804682,0.020150932,0.013542514,0.008181965,0.006650911,0.010818192,0.021401951,0.03722013,0.053891797,0.06632195,0.072033755,0.073142946,0.073323876,0.07333839,0.070336044,0.060950045,0.046090547,0.030250175,0.01875843,0.013559781,0.014591932,0.02212932,0.04000552,0.07199361,0.11713324,0.16496593,0.2008601,0.21416456,0.20704252,0.19095194,0.17948563,0.1766236,0.17973424,0.18239893,0.18702848,0.19873483,0.22355427,0.25626326,0.28517023,0.29688457,0.2843069,0.25039306,0.20300436,0.15568759,0.119496234,0.10265539,0.10277007,0.110115685,0.11413437,0.111605346,0.10755196,0.106920935,0.110341825,0.11648393,0.12880315,0.15333918,0.18942474,0.22591563,0.2498887,0.25803992,0.25816655,0.26013622,0.27082106,0.28900817,0.30818635,0.31513658,0.30166528,0.26819015,0.22702341,0.19270311,0.17850961,0.18938166,0.22291858,0.26235732,0.29004115,0.29049358,0.27143678,0.24718769,0.23540379,0.2331159,0.23269862,0.22559391,0.21705168,0.21292345,0.2156759,0.21948709,0.21864809,0.21178894,0.2016936,0.19255905,0.18593408,0.1830864,0.18244617,0.18119894,0.17269349,0.15340912,0.12584452,0.10056755,0.088375546,0.09548074,0.118612766,0.14776058,0.1687519,0.17469943,0.16929586,0.16377275,0.16364725,0.1668544,0.17170589,0.18132526,0.19827718,0.21514867,0.22146086,0.21096896,0.18702054,0.15484034,0.12203435,0.098517686,0.09430584,0.11010227,0.13285635,0.14718156,0.14742689,0.143368,0.146811,0.16041829,0.17466772,0.17777193,0.16473153,0.13831602,0.105207324,0.071734734,0.04346749,0.026165219,0.02646949,0.05112779,0.09886024,0.15589124,0.19585,0.19903888,0.16474552,0.11585123,0.079397306,0.071169384,0.08701599,0.11131289,0.12807497,0.12953906,0.11638513,0.09440132,0.07032093,0.051152054,0.041883636,0.04430635,0.054609265,0.0665487,0.07424327,0.075940855,0.07182893,0.06347239,0.051943656,0.040828172,0.03555329,0.04151258,0.05876693,0.080180496,0.095592074,0.09828206,0.09020766,0.0789957,0.07255038,0.073345244,0.078663476,0.08373064,0.08501961,0.081269614,0.072428666,0.059358906,0.043795828,0.028603846,0.016504286,0.008884146,0.0052222083,0.004069222,0.004427202,0.006444341,0.011526673,0.020295614,0.031904716,0.04278795,0.05056694,0.055863947,0.06395941,0.079102285,0.10024802,0.11979882,0.13021906,0.12950115,0.12269854,0.1153126,0.10966607,0.10219083,0.089379825,0.06963772,0.046969336,0.026513444,0.012637798,0.005461414,0.0029951606,0.0028954046,0.004778477,0.010233377,0.02143609,0.038697317,0.058256876,0.07301602,0.07637874,0.06666765,0.048498977,0.029405281,0.016239138,0.012804446,0.021674491,0.043176282,0.07518975,0.110481225,0.14011884,0.15647294,0.1571725,0.14524154,0.12697314,0.11004739,0.09959623,0.0968917,0.09838309,0.098783396,0.094519585,0.08458218,0.07037098,0.053704407,0.03807485,0.027321236,0.024584943,0.029217556,0.03760548,0.045366596,0.050647084,0.054769743,0.060998905,0.072229154,0.08799132,0.10432223,0.11589515,0.12093598,0.12089441,0.117584676,0.11055448,0.10078173,0.093055345,0.093186475,0.10102602,0.11108459,0.11749729,0.120315105,0.12062707,0.117719896,0.10684585,0.08660572,0.060432523,0.03620181,0.020317212,0.016005462,0.022393664,0.035848778,0.04993729,0.05846827,0.058588848,0.053794324,0.050798774,0.053988922,0.061875198,0.06904984,0.072148114,0.071090825,0.06841568,0.06551707,0.06414318,0.065924816,0.071569175,0.078812964,0.08360636,0.08512052,0.08492464,0.08568186,0.08521291,0.08184578,0.075728916,0.07274979,0.07636922,0.08559367,0.09286478,0.09154314,0.07915391,0.05975154,0.040608965,0.029027522,0.029371759,0.040924843,0.05908096,0.0763567,0.08712521,0.08795314,0.08015048,0.06643822,0.051652312,0.03977716,0.03568904,0.041950252,0.058282834,0.0788367,0.09627823,0.10444208,0.10225469,0.092393614,0.0806097,0.07263849,0.070836715,0.07246658,0.07198448,0.06709885,0.060169995,0.05523455,0.053019825,0.050628837,0.04501931,0.035912964,0.026975833,0.023469962,0.029233506,0.043244377,0.059578568,0.07162058,0.076429494,0.076479636,0.07516899,0.073855996,0.07053903,0.06438609,0.05716294,0.053004738,0.053476628,0.05620837,0.056019414,0.04989655,0.039107468,0.028858887,0.024325723,0.027361795,0.034715872,0.040185083,0.038944934,0.030947147,0.020853333,0.014696203,0.017001888,0.028292472,0.04481568,0.058868725,0.06342269,0.05591013,0.040586736,0.02453202,0.01409514,0.01240125,0.0213575,0.04114118,0.069505215,0.09844616,0.11755947,0.118412904,0.102205634,0.0791739,0.06378693,0.065582775,0.08431542,0.11119888,0.13420893,0.1442532,0.13814802,0.119525425,0.09678569,0.08005323,0.07583618,0.08525636,0.10310465,0.12283549,0.13819022,0.14527453,0.14137954,0.12488075,0.09799432,0.066766456,0.04140825,0.030067543,0.03559075,0.052265484,0.06886386,0.07506532,0.0686248,0.05768089,0.053314257,0.061653983,0.078514904,0.09647223,0.10847914,0.11290284,0.10858325,0.097402036,0.083067946,0.07207527,0.067753814,0.06814074,0.06864092,0.066399805,0.06147887,0.053784724,0.042990968,0.030222708,0.019677198,0.016623592,0.024593128,0.042885426,0.065968834,0.0850527,0.09279884,0.088009715,0.07629072,0.06581641,0.061242115,0.062348988,0.06596126,0.07080883,0.077220775,0.086570166,0.0973252,0.10609249,0.10730854,0.09839186,0.081528,0.06553135,0.058913577,0.06460821,0.076695375,0.08723686,0.091520764,0.09090096,0.08809495,0.08562223,0.08469347,0.086731136,0.090198584,0.09088057,0.08331007,0.06685648,0.045842737,0.027211085,0.01499201,0.009258139,0.007571103,0.008857806,0.01494879,0.029549887,0.05249363,0.07786424,0.09502111,0.0977393,0.08658901,0.069343984,0.054012295,0.046760287,0.0489866,0.057249676,0.06472382,0.06603115,0.06199871,0.05776548,0.057421286,0.060152758,0.063857876,0.06942014,0.079403706,0.0923781,0.10096505,0.09874711,0.08693858,0.0743049,0.068606846,0.07047859,0.07452682,0.07565377,0.07432529,0.074279435,0.07917934,0.08728703,0.09524431,0.09840418,0.095762186,0.086315244,0.07189379,0.055365454,0.04269394,0.038767282,0.04451626,0.055820238,0.065905415,0.07029832,0.06717756,0.058030445,0.045061927,0.03230052,0.02339901,0.020163208,0.020644046,0.020864563,0.018407445,0.013644681,0.008978593,0.005846526,0.004430537,0.0038814808,0.0036484788,0.003442988,0.0032253822,0.0029850556,0.0027999866,0.002833483,0.0032716077,0.006063253,0.015716808,0.040868003,0.08611628,0.14845094,0.2103514,0.25421777,0.26848936,0.25959894,0.23917699,0.2174318,0.19321208,0.16138418,0.12043337,0.07709923,0.043693576,0.030926062,0.046431612,0.08861693,0.14741974,0.20055503,0.22758834,0.21647297,0.1744778,0.118744545,0.07035622,0.043029886,0.041618958,0.05991037,0.084593154,0.10097128,0.10327933,0.09710392,0.09475503,0.10187009,0.11338103,0.11705951,0.10652754,0.08584023,0.068362765,0.06460226,0.07613639,0.09341588,0.106201835,0.11004344,0.10905304,0.10825681,0.108224474,0.10389778,0.09137696,0.07344418,0.061549146,0.06800223,0.098459095,0.14459379,0.19026561,0.21897936,0.22609371,0.2175107,0.20581703,0.19943552,0.19960934,0.19978863,0.19165118,0.17104812,0.1431397,0.12010654,0.11306635,0.12311386,0.1398577,0.14919756,0.1429076,0.124203734,0.10430941,0.096195646,0.107853055,0.1387126,0.17858343,0.21085149,0.22160657,0.20956855,0.18830614,0.17523336,0.17749174,0.1861306,0.18723138,0.1734326,0.15061776,0.12774837,0.110801764,0.09810855,0.08715881,0.07647113,0.06710279,0.0607073,0.05901627,0.06335743,0.07208047,0.08129439,0.08569359,0.08415803,0.07902116,0.07504751,0.073499866,0.072877266,0.07127225,0.07042536,0.07401076,0.08304563,0.09346372,0.09919473,0.097288765,0.08962459,0.07940214,0.06818962,0.05546878,0.041706424,0.028684229,0.01862612,0.011991102,0.008024483,0.0056100786,0.004220454,0.004212435,0.0069418405,0.0150606455,0.030210465,0.05145203,0.07332349,0.088792376,0.09206494,0.082962744,0.06733257,0.05530991,0.054761935,0.06692047,0.08445316,0.09855973,0.10316819,0.09954389,0.091293596,0.08288628,0.076233685,0.071722664,0.067936204,0.062427696,0.054301318,0.045745175,0.042744666,0.050612155,0.07029321,0.09578157,0.11798459,0.13010876,0.13212603,0.12849815,0.12229079,0.11175432,0.09321191,0.06750011,0.04101416,0.022530032,0.018061182,0.030798204,0.06062128,0.10406643,0.15273559,0.19520563,0.22127374,0.22548139,0.21019544,0.18191127,0.14990719,0.121411644,0.1040022,0.10245747,0.11677637,0.14045012,0.16414243,0.18229489,0.19156845,0.19122845,0.18150072,0.1688788,0.16136439,0.16391593,0.17234115,0.17885335,0.17518008,0.15818684,0.12861468,0.09471344,0.06858488,0.06178854,0.07586968,0.100533865,0.11902702,0.119768314,0.10388717,0.08285738,0.068073966,0.061860684,0.05813952,0.050293263,0.038550165,0.029153548,0.02875126,0.038008776,0.051911175,0.06345044,0.0697794,0.07232956,0.07457585,0.0775831,0.08057087,0.08218875,0.08166754,0.078555085,0.073149465,0.0684621,0.06815445,0.07379937,0.08109551,0.08392326,0.07778966,0.064292915,0.048695773,0.03839236,0.03880113,0.051109225,0.070961304,0.0904254,0.10260758,0.103815906,0.094965875,0.07975571,0.06458556,0.055052444,0.053770367,0.058184933,0.064440556,0.07088525,0.08006541,0.094834365,0.115532756,0.13872321,0.1599638,0.17530651,0.18369903,0.18673722,0.18803786,0.1891961,0.18838389,0.18145102,0.16718435,0.14940237,0.1356373,0.13158731,0.137915,0.14985293,0.15891246,0.15656595,0.13825111,0.109747864,0.086025596,0.08283306,0.10372607,0.13490294,0.15550327,0.15191159,0.12938021,0.10422481,0.091841005,0.09360409,0.10114985,0.104572825,0.10164076,0.09431828,0.08507738,0.07381999,0.06282892,0.057127293,0.06233929,0.07878468,0.10043042,0.11818555,0.12411102,0.11569256,0.095648445,0.07183791,0.052842144,0.045235876,0.049921542,0.062715195,0.07657001,0.08579413,0.08849025,0.08650002,0.08322082,0.08053518,0.07746636,0.0708254,0.0586901,0.04243465,0.026355274,0.014246419,0.007312713,0.0047137565,0.006006936,0.012322605,0.024734112,0.04112889,0.05623303,0.063958794,0.06278094,0.054511074,0.04369332,0.032391872,0.02255016,0.014519767,0.009751585,0.008657195,0.012478148,0.021736735,0.03659543,0.054010987,0.069164075,0.076120436,0.07248809,0.05952714,0.04279822,0.028322242,0.021393267,0.024185931,0.035925318,0.052380215,0.067629665,0.076524325,0.077292204,0.07221713,0.065340616,0.059734154,0.055239648,0.049731433,0.04160664,0.032241546,0.025600506,0.025073195,0.03175857,0.043539513,0.057789445,0.07120518,0.08140428,0.08675284,0.08777823,0.0868409,0.08597263,0.08657112,0.08796678,0.09023372,0.09281555,0.096472315,0.100888945,0.10620546,0.11107865,0.11460883,0.11564093,0.115126096,0.11363269,0.11160052,0.107237756,0.100087516,0.09071364,0.0813686,0.0730632,0.0662907,0.061725855,0.060931385,0.06478894,0.07214859,0.080073446,0.085674964,0.08729472,0.08539773,0.08167049,0.078173675,0.07518542,0.071513064,0.06636788,0.06228632,0.063911535,0.07419553,0.09045771,0.10643369,0.116547644,0.120136045,0.11972746,0.11821467,0.116089225,0.113082685,0.10928476,0.105252855,0.100195475,0.09220087,0.08134677,0.07050785,0.06337879,0.059490602,0.055410784,0.048801433,0.042551305,0.041625217,0.047832806,0.057558835,0.06584834,0.07093669,0.07453791,0.07774544,0.07837032,0.072739355,0.0599075,0.04393792,0.032284882,0.032526378,0.047614824,0.07462283,0.104799844,0.13023758,0.14623137,0.153104,0.15157919,0.14282666,0.12843601,0.111311436,0.09372241,0.07596671,0.057687834,0.03991713,0.026484782,0.02272292,0.03340883,0.058473844,0.092130005,0.12350035,0.14355153,0.14815271,0.1406393,0.12822402,0.11870501,0.11598652,0.11868805,0.12218084,0.12285608,0.11993975,0.11560526,0.112514585,0.11484476,0.12657164,0.14896111,0.17541449,0.19285749,0.18998747,0.16561238,0.12849255,0.089785196,0.056699097,0.032101374,0.016193047,0.0078109303,0.0045318604,0.0040570977,0.0052094045,0.008033798,0.012821575,0.0205244,0.03411111,0.05905935,0.09770995,0.14459197,0.1874699,0.21982116,0.24369009,0.26205716,0.26524797,0.23907913,0.18212998,0.11510802,0.066247694,0.05256625,0.07191158,0.110280596,0.15069033,0.18124777,0.19669223,0.19912553,0.19463266,0.18932283,0.18582082,0.180052,0.16590373,0.1399274,0.10824304,0.08282442,0.074154526,0.0831829,0.09999824,0.11150295,0.108472966,0.09187836,0.0692594,0.05059704,0.041697606,0.04342657,0.05255856,0.064032175,0.07214639,0.071682855,0.062824324,0.05297563,0.056679457,0.08250228,0.12721026,0.17144452,0.19803952,0.20018141,0.18800676,0.17282088,0.16035038,0.1491112,0.13834296,0.13079661,0.12800883,0.12806971,0.12655437,0.12178088,0.11471441,0.10626044,0.09633899,0.08743072,0.088066906,0.10727803,0.14478391,0.18489815,0.20632093,0.19805644,0.16931266,0.14274316,0.13544498,0.14738041,0.16115333,0.16039097,0.1412356,0.11771462,0.10835001,0.12365463,0.15641554,0.18719733,0.19693713,0.17968726,0.1437167,0.10527176,0.07905554,0.07397088,0.08836057,0.11221564,0.13077614,0.13619183,0.1295283,0.12086686,0.11847853,0.12526816,0.13652577,0.14652693,0.15433683,0.16224903,0.17198996,0.17826249,0.17542793,0.1597684,0.13446267,0.105776824,0.08438597,0.0807072,0.099342115,0.13132913,0.15886652,0.16571228,0.149723,0.12127668,0.09783787,0.09286948,0.11156362,0.14578836,0.17882162,0.19206439,0.17765594,0.14030042,0.09719085,0.06780639,0.068817325,0.10106834,0.14892478,0.18475007,0.19159947,0.17189366,0.14437988,0.12261007,0.10974217,0.102620415,0.1049666,0.12189245,0.15228711,0.1811588,0.19290984,0.18298149,0.1649425,0.15641743,0.16466878,0.18005891,0.18649201,0.17482845,0.14791942,0.116445996,0.09276124,0.08708858,0.10260892,0.1315568,0.15685119,0.16474335,0.15445215,0.13828297,0.12755905,0.12361404,0.11880151,0.10760442,0.091430984,0.07662361,0.066766955,0.06255353,0.061516374,0.06215975,0.061089095,0.056012776,0.04524293,0.031385973,0.018237323,0.009261407,0.0047184518,0.0031556624,0.0027123627,0.0025001091,0.002380194,0.0028474994,0.0048024296,0.009277216,0.016398283,0.025036057,0.033225995,0.039487805,0.04323836,0.044178456,0.04200813,0.036470972,0.028479645,0.019692698,0.012166798,0.0070006717,0.0042833467,0.0032885692,0.0035298003,0.0058030393,0.012440182,0.02605032,0.04611669,0.06711831,0.08021349,0.07947716,0.06651085,0.04964787,0.037914068,0.034700576,0.03708568,0.039334297,0.03921281,0.038710583,0.041758392,0.04857007,0.05605437,0.060442466,0.06173553,0.062429544,0.06467438,0.068519734,0.07295627,0.07784682,0.0815053,0.081339516,0.07433242,0.06303531,0.05318126,0.050494984,0.054300055,0.060156763,0.06405673,0.06614856,0.06812951,0.070219874,0.07020947,0.06638243,0.058485046,0.04797919,0.03632724,0.025571086,0.0177722,0.014186402,0.014163514,0.015621309,0.01740197,0.020005176,0.02494066,0.032055277,0.039059494,0.0425483,0.040622752,0.033954915,0.025442446,0.018808642,0.01782311,0.02554605,0.042892277,0.06679018,0.09050199,0.10683187,0.11166518,0.10619405,0.09650933,0.09272721,0.10317411,0.12881096,0.15981354,0.1834169,0.19140023,0.18517657,0.1704976,0.15639116,0.15082169,0.15960509,0.17855807,0.1967481,0.2031215,0.1972294,0.1862198,0.1765698,0.16845195,0.16014081,0.1545607,0.15618046,0.16474567,0.17152314,0.16816281,0.1522618,0.13072306,0.11176333,0.103346296,0.10716981,0.122555114,0.14246456,0.1602713,0.16909967,0.17071392,0.17202407,0.1814552,0.19799252,0.21178557,0.21288203,0.20229906,0.19113015,0.19114329,0.20261048,0.21657275,0.22047281,0.21014653,0.18861754,0.16424231,0.14595477,0.14125782,0.1557682,0.18478833,0.21650474,0.23399878,0.23228796,0.21710794,0.20233174,0.19596921,0.19650386,0.19402225,0.17661668,0.14179464,0.098957874,0.06707088,0.058936745,0.074939616,0.10258498,0.12786217,0.14191152,0.14412187,0.13864648,0.13206919,0.1298368,0.13471948,0.14314629,0.1496741,0.14986505,0.14690651,0.14452176,0.14643866,0.15149552,0.1608647,0.17287846,0.18525095,0.19264412,0.1968947,0.2032973,0.21633206,0.2282687,0.22727762,0.20710494,0.17771505,0.15703134,0.15688753,0.17390545,0.19119988,0.19524038,0.18226594,0.16378383,0.15075731,0.14839642,0.14886051,0.14365977,0.13035907,0.11762416,0.1157279,0.12775902,0.14566368,0.15591364,0.14958145,0.12827002,0.104346015,0.091766536,0.09647983,0.11192742,0.12460339,0.12715109,0.123134345,0.12551035,0.14104901,0.16597219,0.1847846,0.1874438,0.17554814,0.1656124,0.1720662,0.19857007,0.23256296,0.25793678,0.26144382,0.23930757,0.19376601,0.13632508,0.083064206,0.051375017,0.048970122,0.074047804,0.11519792,0.15800935,0.18781848,0.19575922,0.1821078,0.15380134,0.12084054,0.09100198,0.072349064,0.06910813,0.08118082,0.100209564,0.11725062,0.12625504,0.12732024,0.12133259,0.10868743,0.089582115,0.0666266,0.04565059,0.033479545,0.035525147,0.050418597,0.070991516,0.08735386,0.09626809,0.10049262,0.10498176,0.10949445,0.11102051,0.108310305,0.10429255,0.10249394,0.10249308,0.10027384,0.09158612,0.076202914,0.05761839,0.041244563,0.030420685,0.02544771,0.023235096,0.020623287,0.016722444,0.014441806,0.01835493,0.030627323,0.04800256,0.06206067,0.06498724,0.05489737,0.0374859,0.021197282,0.012385662,0.013906121,0.026290903,0.048228662,0.07446287,0.09685797,0.107726716,0.10576487,0.09567361,0.084457815,0.0751949,0.06657271,0.05571283,0.042123478,0.028244415,0.017134823,0.010361893,0.0072073247,0.0067801527,0.009342781,0.017461715,0.032454748,0.052762236,0.07161318,0.08206486,0.07951302,0.06583201,0.046526413,0.028436668,0.01565331,0.008948623,0.0070873755,0.009222815,0.016020337,0.028038027,0.043448966,0.05709769,0.063106544,0.05860661,0.04598072,0.030888198,0.018696763,0.012104582,0.011555924,0.016632853,0.025831059,0.0368828,0.04706183,0.05565679,0.06295904,0.06956156,0.07483548,0.079207756,0.084628545,0.09303481,0.103454895,0.11194039,0.11497676,0.1115823,0.10334867,0.09254625,0.08147242,0.07257552,0.06727225,0.06541907,0.06451139,0.06293062,0.062274467,0.068051435,0.08434444,0.10806117,0.1289113,0.13647556,0.12832116,0.110633135,0.09353142,0.08511301,0.08894793,0.102465235,0.11828295,0.1287316,0.13193776,0.13345504,0.1397193,0.15232147,0.164285,0.16766666,0.15773155,0.13926354,0.121398,0.113975346,0.12001576,0.13539569,0.15116632,0.16011132,0.16166873,0.1597752,0.15892981,0.15780342,0.15431486,0.1467945,0.13840696,0.13109432,0.12520961,0.11993649,0.11701325,0.12278706,0.14322509,0.17882447,0.21793836,0.24303485,0.2411526,0.21504962,0.17916922,0.14993638,0.13753875,0.145455,0.1700378,0.19991787,0.21966492,0.21919815,0.19846267,0.16534303,0.1283694,0.0962632,0.07768091,0.07791453,0.09333057,0.11010934,0.11719475,0.11466224,0.11597967,0.13101488,0.15729298,0.18021236,0.1885236,0.18103158,0.16416357,0.14235592,0.11631686,0.086525105,0.057279658,0.03547959,0.02739858,0.035829723,0.058314204,0.086670846,0.11035804,0.1223576,0.123570174,0.12060666,0.12027613,0.12440932,0.12969446,0.13010614,0.12203896,0.1072239,0.09174371,0.081255294,0.07596239,0.07213249,0.0647756,0.053079616,0.03912732,0.027703643,0.022262247,0.024249649,0.031363472,0.039076034,0.043238338,0.04348402,0.043457758,0.047431454,0.056062255,0.06525749,0.07049576,0.07140822,0.07479312,0.087246865,0.109388195,0.13085431,0.14043045,0.13230403,0.111635126,0.08775526,0.0716605,0.07028523,0.08547432,0.11032214,0.13518344,0.15225238,0.16180038,0.16658062,0.16983633,0.17109554,0.17047922,0.16786213,0.16411573,0.16033672,0.16018675,0.17183913,0.20010583,0.24104095,0.27544448,0.28561747,0.26289773,0.21705504,0.16167547,0.11094946,0.07319047,0.05469555,0.055543724,0.0695474,0.0863243,0.097436786,0.10016645,0.09624085,0.08945358,0.082810394,0.078689806,0.077303596,0.07706296,0.0742593,0.06628535,0.053421527,0.04017579,0.032736883,0.035698995,0.048756998,0.066776894,0.082510054,0.09057212,0.08900889,0.07936867,0.06486962,0.04972595,0.03704153,0.029286446,0.027736785,0.03405041,0.04625614,0.059084922,0.06410483,0.059258252,0.04939446,0.044404477,0.04850176,0.058214802,0.06509753,0.063099645,0.053193465,0.042124208,0.038508713,0.045690406,0.06041203,0.07444645,0.08211952,0.08212399,0.07726059,0.06963185,0.06105506,0.05382119,0.051646262,0.056613464,0.067060016,0.07789341,0.08468774,0.085704386,0.08319315,0.07980865,0.07736662,0.07441486,0.06950007,0.062909506,0.05846132,0.059376795,0.06563249,0.07299579,0.07775674,0.07864169,0.07715788,0.07404912,0.07048303,0.069161735,0.07571744,0.09208349,0.11294339,0.12542202,0.12129158,0.10299469,0.084790654,0.07907795,0.089577384,0.109072424,0.12936348,0.14472826,0.15244323,0.14913397,0.13381232,0.111721136,0.09276997,0.086043596,0.09387673,0.11360767,0.13735884,0.15523237,0.1568714,0.13957267,0.110147916,0.084948905,0.078763105,0.09883028,0.13734336,0.18177533,0.22186273,0.2590444,0.2954608,0.3259244,0.33440137,0.30679956,0.24417116,0.16519307,0.0962433,0.056167036,0.048041556,0.061410904,0.08023441,0.09228474,0.09216839,0.081525385,0.06480029,0.04677504,0.031190863,0.021159614,0.019664079,0.02758061,0.042836655,0.059090238,0.07021382,0.07236078,0.067085,0.0577635,0.048233747,0.040568624,0.036097493,0.035397623,0.03759697,0.040593877,0.04145633,0.03912823,0.034755778,0.031633947,0.0321572,0.036374107,0.04153453,0.044130918,0.0419392,0.035419744,0.027722465,0.023403535,0.025629183,0.035079826,0.04893701,0.06382754,0.07557634,0.0820849,0.08205217,0.07653614,0.06694027,0.055829022,0.04699707,0.045280594,0.053130608,0.06736512,0.08018529,0.08543754,0.08293031,0.07727935,0.07164696,0.06516501,0.055120736,0.041237578,0.02737235,0.019082038,0.021761825,0.036181815,0.058656517,0.07969142,0.091549255,0.09048053,0.08046373,0.0665899,0.052942973,0.04024963,0.029751942,0.024306325,0.027707972,0.041076228,0.06124158,0.08113346,0.09435547,0.098021425,0.09560446,0.092879884,0.09464759,0.10020258,0.10567384,0.10706196,0.10342819,0.096345715,0.08798403,0.0804361,0.076016694,0.07708735,0.084468216,0.09540597,0.105128385,0.10929525,0.10672104,0.09904558,0.090088286,0.085483335,0.089724146,0.10295116,0.11839098,0.12690012,0.12256667,0.10627204,0.08451868,0.06618107,0.059260596,0.066115655,0.08157542,0.09538893,0.09981657,0.09405599,0.08271325,0.07011173,0.057717446,0.04601096,0.037084725,0.034003675,0.037138406,0.043089103,0.046867754,0.04655921,0.043998215,0.042396273,0.0428157,0.043140065,0.040960368,0.03550914,0.029954376,0.028053911,0.032337803,0.04053903,0.047920626,0.049725246,0.04524617,0.037806313,0.03235631,0.03175432,0.03475007,0.037887704,0.03796855,0.03451618,0.028469374,0.021547854,0.015252181,0.011680811,0.013304706,0.021645078,0.03603783,0.052448045,0.0657607,0.07161506,0.069422394,0.061137337,0.05030893,0.039872278,0.03256023,0.030243158,0.033418983,0.040106036,0.04686983,0.050486535,0.04960535,0.045064572,0.03978723,0.037532743,0.040370744,0.04653655,0.05150817,0.052193183,0.049886685,0.048514813,0.050456792,0.054086965,0.055782553,0.052605134,0.044366762,0.033334706,0.023658985,0.019473353,0.022266721,0.029536188,0.036207676,0.0389434,0.037870448,0.035254646,0.031900275,0.027076222,0.020333553,0.013321626,0.008649056,0.008150549,0.0120714,0.018803233,0.0258127,0.030138785,0.030668736,0.027623497,0.022698937,0.0169771,0.011644594,0.0073262104,0.004619432,0.0033273303,0.003019837,0.003300734,0.0042419587,0.005879907,0.0079119345,0.009523566,0.010090583,0.009447749,0.008007486,0.0061991024,0.004357987,0.0026845643,0.0013827453,0.00056078535,0.00016445603,3.0540654E-05,2.1649187E-06,2.0145785E-07,2.8274505E-07,3.4741603E-07,3.8724838E-07,4.056832E-07,2.9436408E-06,1.3076999E-05,3.841565E-05,7.8380384E-05,0.00013235089,0.00021590064,0.00038437077,0.0006977157,0.0012669788,0.0024651638,0.0050791292,0.009939133,0.016877415,0.024222568,0.029393634,0.030560443,0.027561618,0.021736486,0.015040342,0.009156089,0.005089814,0.002825291,0.0017775125,0.0012089167,0.00078184064,0.00043323808,0.00021824487,0.00013740841]