[0,2.8724082E-06,0.00013371733,0.000923795,0.0035950325,0.009763754,0.020332133,0.034300834,0.048712213,0.06014927,0.06657198,0.06814361,0.06669276,0.06442156,0.06288015,0.062332243,0.062221143,0.061888363,0.061536785,0.061988432,0.06411364,0.0677396,0.07170865,0.07426384,0.07440858,0.07232722,0.0694086,0.06708229,0.06604112,0.065947615,0.06579865,0.06462126,0.062005263,0.05879427,0.057110827,0.059328895,0.06624567,0.07568696,0.083512045,0.08608607,0.08286677,0.07654516,0.07109066,0.069040634,0.07006764,0.07169578,0.07132854,0.06816248,0.063528,0.059738,0.058290306,0.058982376,0.060226873,0.060535323,0.059470262,0.05791804,0.057206746,0.05843827,0.061793238,0.06627136,0.06972637,0.069850616,0.06576616,0.058996174,0.05291673,0.050649688,0.05332342,0.059569944,0.06685335,0.07283083,0.07625383,0.07692805,0.075616054,0.073632486,0.07210366,0.07119105,0.070226125,0.06866816,0.06690853,0.06590569,0.06623197,0.06751117,0.06885878,0.06960722,0.06977001,0.069829755,0.07031464,0.07123887,0.07190388,0.07122941,0.06851077,0.0641188,0.059413586,0.056116845,0.055629075,0.058351744,0.063593835,0.06935152,0.07345185,0.07444498,0.07286524,0.070782475,0.070577316,0.073180236,0.077230155,0.08012066,0.079805076,0.076513536,0.07230397,0.06975829,0.07008146,0.072869204,0.076348506,0.078860156,0.079288274,0.077623665,0.07436693,0.07053512,0.067167334,0.06501419,0.063916065,0.063194595,0.06332106,0.067785926,0.0823412,0.1106801,0.1498155,0.1901524,0.22124684,0.23813935,0.24287164,0.24099682,0.23717761,0.23340397,0.22918154,0.22298278,0.21338445,0.20073767,0.1873415,0.17689122,0.1721014,0.17360221,0.17928559,0.1857853,0.18994679,0.19084822,0.19078791,0.19341896,0.20110093,0.21151696,0.2200576,0.22210342,0.21738572,0.20860164,0.20039515,0.1955328,0.19433331,0.19462049,0.19431458,0.19264829,0.19039877,0.18862991,0.18816996,0.1893392,0.19179672,0.1942054,0.19497323,0.19380026,0.19277978,0.1950223,0.2018855,0.21107405,0.21788567,0.21855776,0.21269125,0.20366259,0.19632606,0.19483192,0.20021611,0.2103929,0.22135985,0.23013528,0.23607959,0.240672,0.2448523,0.24829955,0.2494545,0.24849157,0.24687727,0.24663185,0.2471794,0.24664463,0.24347712,0.23871426,0.23431207,0.23149525,0.23005415,0.22977032,0.2315367,0.23682125,0.2461673,0.25781068,0.2680463,0.27364948,0.27439284,0.27391675,0.27676234,0.284636,0.29458305,0.30121252,0.30095705,0.29413673,0.28419864,0.2747651,0.2681798,0.2652082,0.2655152,0.26789296,0.2707523,0.27311543,0.2752299,0.27819815,0.28254315,0.28737476,0.29062358,0.29038045,0.28628218,0.2798175,0.27403525,0.26995102,0.2650119,0.2527469,0.22955675,0.19797765,0.16646206,0.14221145,0.12708198,0.11805773,0.11106297,0.104016304,0.096761815,0.091079794,0.09017811,0.09936407,0.1228685,0.16024457,0.2028888,0.23842691,0.25721136,0.2579551,0.24577217,0.2276228,0.20870893,0.19194178,0.17894195,0.17040455,0.16643809,0.1665895,0.16990621,0.1750945,0.1805395,0.18501614,0.18776697,0.18887198,0.18949379,0.19232573,0.2011087,0.21736513,0.2382505,0.2564473,0.2653825,0.26231882,0.24945895,0.23156385,0.21466559,0.20428075,0.20276366,0.20790906,0.21466033,0.21917553,0.2206379,0.22039585,0.21996687,0.22048126,0.222026,0.22370003,0.22343367,0.2204445,0.21630776,0.21489824,0.2182865,0.2245537,0.22854154,0.22664575,0.21956249,0.21132748,0.20594257,0.20540981,0.2097014,0.2171256,0.2247939,0.23049293,0.23473556,0.24136741,0.2535644,0.27089965,0.28817633,0.30053744,0.30585513,0.30562705,0.30104277,0.29234245,0.27945974,0.2641255,0.24928124,0.23740195,0.22937058,0.22491314,0.22386946,0.22656447,0.23317921,0.24254489,0.2520648,0.25954744,0.26507446,0.27147946,0.2812405,0.2941929,0.3065081,0.31417808,0.31509635,0.31062737,0.30334678,0.2960602,0.29014632,0.28607747,0.28323963,0.28102288,0.27876273,0.2762535,0.27346638,0.2713907,0.27159652,0.27566874,0.28328422,0.29191178,0.2983962,0.30147654,0.3033228,0.30502144,0.3041207,0.29320517,0.2689572,0.23449083,0.19940537,0.17021261,0.14856513,0.13195997,0.11842658,0.10691596,0.0970938,0.09025738,0.090987474,0.1069719,0.14272027,0.19445042,0.2477756,0.2873635,0.30416727,0.3013103,0.28708503,0.2708794,0.25802782,0.25131616,0.24995618,0.2507392,0.2492057,0.24279289,0.23239966,0.2215572,0.21382344,0.21053112,0.21073508,0.21299551,0.21714897,0.22419645,0.2337689,0.24261798,0.24552931,0.23957323,0.22655939,0.21207231,0.2015456,0.19763982,0.2002545,0.20762992,0.21666159,0.22367913,0.22580178,0.22344841,0.21978144,0.21852045,0.22043037,0.22335291,0.22433682,0.22245646,0.21900342,0.21660943,0.21772397,0.22363138,0.23273729,0.24062581,0.24237533,0.23646921,0.22638391,0.21823244,0.21654779,0.22129028,0.2287389,0.2345305,0.23739938,0.23992538,0.24707712,0.26187015,0.28250587,0.30236277,0.3147683,0.31801793,0.3160853,0.314443,0.31498316,0.3155779,0.31300986,0.30648342,0.29788673,0.29019952,0.28551653,0.28479055,0.28794813,0.2941017,0.30096996,0.30520162,0.30386725,0.2965554,0.28659868,0.27909574,0.27725577,0.27936408,0.2802762,0.2759172,0.2664484,0.25585017,0.24911995,0.25055373,0.26216653,0.28172168,0.3018372,0.31290543,0.30981755,0.29597187,0.2817396,0.27633187,0.2822362,0.29459488,0.30739343,0.3171958,0.32449743,0.33093634,0.33905235,0.34816754,0.35388315,0.3468609,0.32264996,0.28482717,0.24666874,0.22066098,0.21381731,0.22327115,0.23984869,0.25219512,0.25412187,0.24756844,0.24131642,0.24411853,0.25904766,0.28127968,0.3018354,0.31386638,0.31610677,0.31169507,0.30351397,0.29269478,0.27929464,0.26441312,0.24971272,0.23662154,0.22571664,0.21727955,0.2118227,0.20981318,0.21121784,0.21479125,0.21846092,0.22006412,0.21838969,0.21347006,0.20609243,0.19739239,0.18839334,0.17995553,0.17224354,0.16498746,0.15793066,0.15156583,0.14655058,0.14303033,0.14016797,0.13722934,0.13417827,0.13199951,0.13150944,0.13305295,0.13602625,0.13957192,0.14251249,0.14398839,0.14359923,0.14178872,0.1393027,0.13662857,0.13365965,0.13016059,0.12622374,0.12235861,0.11903497,0.116473876,0.114710025,0.1139627,0.11456332,0.11670056,0.11999353,0.123604216,0.12655474,0.1280968,0.127766,0.12530561,0.120871246,0.11506224,0.10895879,0.103498496,0.099327415,0.09648281,0.09478497,0.09381818,0.093257554,0.09274597,0.0920777,0.09126541,0.09063982,0.09058411,0.09104317,0.09143705,0.09097377,0.08928001,0.086541444,0.083360754,0.0803491,0.07793092,0.07625467,0.075334795,0.07506856,0.075331226,0.075860865,0.07645171,0.07685784,0.07689476,0.07623952,0.07468444,0.07220259,0.069109865,0.06582106,0.06271579,0.06002983,0.057877365,0.056298364,0.0552661,0.05481145,0.055033132,0.055904243,0.056996334,0.057405278,0.056381773,0.053775113,0.050123643,0.04589208,0.041183453,0.03590185,0.030353561,0.02533234,0.021958917,0.022022476,0.028202543,0.043837722,0.07024383,0.10554884,0.14458989,0.18243642,0.2149722,0.2387489,0.24994743,0.24684216,0.23217763,0.21225928,0.19354324,0.17962344,0.1720074,0.17033619,0.17261434,0.17399634,0.16988404,0.15822433,0.14150427,0.12356784,0.10837797,0.09966429,0.10236651,0.11978511,0.14975674,0.1828162,0.20704465,0.2149396,0.20815547,0.19698636,0.19427313,0.20868468,0.23778558,0.26991764,0.2894682,0.28725266,0.26394644,0.22927539,0.19506884,0.17000775,0.15690662,0.15358602,0.15543671,0.15804523,0.15951665,0.15993501,0.1600024,0.15878476,0.15505879,0.14829992,0.14003439,0.13191591,0.12534036,0.12106628,0.12002844,0.1225316,0.12720065,0.13251595,0.13832416,0.14833856,0.16479343,0.18622734,0.20405658,0.21109925,0.2053625,0.1940494,0.18602532,0.18704379,0.19531065,0.20482427,0.2093487,0.20674215,0.19901617,0.19001472,0.18215513,0.17558646,0.16930234,0.16326791,0.15849857,0.15664719,0.15876509,0.16585897,0.17806785,0.19390644,0.20942181,0.22018832,0.22405082,0.2227766,0.22088784,0.22332674,0.2313147,0.24146478,0.24629305,0.24170466,0.22892885,0.21532063,0.20629913,0.20352717,0.20344995,0.20239265,0.1979538,0.19061428,0.1819884,0.1742209,0.16877829,0.16595,0.16419774,0.16077797,0.15369016,0.14320894,0.13159001,0.12070682,0.11056763,0.09982281,0.087842345,0.075839035,0.06622552,0.062081557,0.067287266,0.08678386,0.122801684,0.1710406,0.2193775,0.25499403,0.27146873,0.27301675,0.2696508,0.2709091,0.27945653,0.2915336,0.30043384,0.30218852,0.29626492,0.2842122,0.26787522,0.25038186,0.23609062,0.22871637,0.22900628,0.23597817,0.24855216,0.26767516,0.2931346,0.32216468,0.34643248,0.35570085,0.3426411,0.3105362,0.27509367,0.25933054,0.27962518,0.3345842,0.40191546,0.45390412,0.47292504,0.462621,0.43691924,0.4079968,0.37671712,0.33972976,0.29705343,0.25554726,0.22401738,0.20928846,0.21547858,0.24314427,0.28550664,0.3282311,0.35571685,0.36122933,0.34731066,0.32020226,0.28309095,0.23830676,0.19123453,0.15145122,0.13028789,0.13698137,0.17548124,0.23954266,0.31201681,0.37148467,0.4031038,0.40472853,0.3825486,0.34547696,0.3025334,0.26432404,0.23964123,0.23157673,0.23683281,0.2513146,0.2728802,0.30001557,0.328837,0.35450968,0.37414393,0.38757017,0.3955427,0.39838696,0.397073,0.39434278,0.39340067,0.39511776,0.3965793,0.39441183,0.38730475,0.37705073,0.36449847,0.34937286,0.33014202,0.30696353,0.28061208,0.25289392,0.22582646,0.20205127,0.18337171,0.16983676,0.1595697,0.15053608,0.1419577,0.1350102,0.13125828,0.13161086,0.13488036,0.13892873,0.14098078,0.1397854,0.1364188,0.1361211,0.14717357,0.17578202,0.21924897,0.26264632,0.28738168,0.28281304,0.25570595,0.2233781,0.20352006,0.20249021,0.21813755,0.24363749,0.27392602,0.30392995,0.32854256,0.34391102,0.34886357,0.34445742,0.33030283,0.30647042,0.27602485,0.24694885,0.22732216,0.21962,0.21940428,0.21927917,0.214352,0.20357542,0.18880053,0.17445183,0.16864695,0.18018414,0.21098141,0.2503499,0.28122643,0.29284444,0.28949437,0.2852464,0.29296002,0.31504193,0.3434362,0.36404216,0.36532006,0.34381166,0.30692765,0.26788515,0.23915948,0.226058,0.2255419,0.22950198,0.22976655,0.22321032,0.21133427,0.19856064,0.18748808,0.17881517,0.17114826,0.16374095,0.15710305,0.15436988,0.16050607,0.17909378,0.20741321,0.23472588,0.24844366,0.2438404,0.22809309,0.21371228,0.20880646,0.21298458,0.2224422,0.2347485,0.25058445,0.26963273,0.28859618,0.30235335,0.30766678,0.30664954,0.30415463,0.30436644,0.30578133,0.30343565,0.29238835,0.27214336,0.24570687,0.21686439,0.1885041,0.16375716,0.14831115,0.1497731,0.17280774,0.2128092,0.25384393,0.27725545,0.27336356,0.24898088,0.2206866,0.20407845,0.20530795,0.2215221,0.24464618,0.2653964,0.27676913,0.2758663,0.26412868,0.24568015,0.22564687,0.20915677,0.19871546,0.1929038,0.1869318,0.17757697,0.16582012,0.15604831,0.15131843,0.15120395,0.15227859,0.15125851,0.14633305,0.13828714,0.13043861,0.12855291,0.13747263,0.15682846,0.17929739,0.19485585,0.19866484,0.19376914,0.18946755,0.19258757,0.205611,0.22359376,0.24005091,0.2477398,0.24446024,0.2321921,0.2163532,0.20115471,0.18776543,0.17600389,0.16637632,0.16078661,0.15978216,0.16232502,0.1668757,0.17411993,0.18485565,0.19729674,0.20525092,0.20395015,0.19609493,0.1922247,0.20141488,0.22140086,0.24090026,0.25007585,0.2512711,0.2540798,0.26697353,0.28800762,0.30907595,0.3206841,0.32061216,0.31395158,0.31060717,0.31686357,0.33061048,0.3432727,0.3462567,0.33747435,0.31902024,0.29432893,0.26437643,0.2316909,0.20034313,0.17549868,0.15818523,0.14611183,0.13605462,0.12816608,0.1256376,0.13179226,0.14653462,0.16552158,0.18314587,0.1959569,0.20482446,0.21373086,0.22708042,0.24568947,0.2651797,0.27811265,0.27976134,0.2707088,0.25558755,0.2385691,0.22275527,0.21110083,0.20824142,0.21808499,0.24024932,0.26784238,0.29112235,0.30336347,0.30486992,0.300423,0.29571488,0.29400548,0.2972617,0.30555493,0.3181523,0.33232144,0.34579897,0.35664856,0.36459985,0.36928308,0.3713468,0.37223932,0.37346852,0.37467209,0.372782,0.36582807,0.35366377,0.3388579,0.32242572,0.30511275,0.28773144,0.27332023,0.26585725,0.2677273,0.2787952,0.2959952,0.31717217,0.34007132,0.3615731,0.3731687,0.36610904,0.33747497,0.29732692,0.26416358,0.2551788,0.2743415,0.30926242,0.3388504,0.34776673,0.33507538,0.31373328,0.30177745,0.31459293,0.35505447,0.40996075,0.45476905,0.47131038,0.46159124,0.44750524,0.45375827,0.4902254,0.5465899,0.6020801,0.63964915,0.6515413,0.6389877,0.61036634,0.5819051,0.56918603,0.5759359,0.5899791,0.597326,0.59552264,0.5951712,0.60471386,0.62412256,0.64428014,0.6577341,0.65723854,0.6408751,0.61292535,0.59105045,0.59606355,0.63833094,0.7062216,0.7746888,0.81991404,0.8320658,0.8141616,0.77866834,0.7392018,0.7093234,0.6971149,0.70648336,0.7320358,0.7632863,0.78703016,0.79825616,0.7998149,0.7993186,0.7984554,0.79311925,0.77697945,0.7487572,0.71028084,0.66441464,0.612387,0.5574961,0.5040322,0.45817232,0.42556632,0.41510105,0.43251517,0.47682992,0.53360134,0.58633715,0.6229629,0.6438361,0.65381765,0.65934324,0.6624705,0.6631653,0.66056937,0.65599054,0.6520571,0.64970523,0.6485236,0.6476047,0.64680344,0.6423401,0.6255071,0.586603,0.5235308,0.4469253,0.37521195,0.32406637,0.2974932,0.28813937,0.2844719,0.2803168,0.27998078,0.29769573,0.34376517,0.4130287,0.4798404,0.5187592,0.5222471,0.5074079,0.49708748,0.5026634,0.5194555,0.53688043,0.5486596,0.5558217,0.56275654,0.5741386,0.59097385,0.61116576,0.6284345,0.63549,0.62616944,0.59905213,0.55937886,0.5187786,0.4899999,0.48015463,0.4849632,0.49298,0.49137017,0.47582176,0.45337155,0.44299254,0.46302593,0.5165362,0.58381194,0.6366201,0.6586683,0.65595317,0.64623743,0.64388275,0.6507664,0.6599009,0.6636233,0.65965635,0.6513474,0.6429209,0.638532,0.64095014,0.6525867,0.6706891,0.68892246,0.6993146,0.6985566,0.6876158,0.67099875,0.6539852,0.64128447,0.6346342,0.63102627,0.6254398,0.6156227,0.60627556,0.60428673,0.6126254,0.6261008,0.6367213,0.63878536,0.63326174,0.6257567,0.6239896,0.6313223,0.645628,0.66182923,0.67945004,0.7008323,0.72367114,0.73466754,0.7167976,0.6626738,0.58128774,0.49266398,0.41717878,0.37091163,0.36409974,0.39843106,0.46086952,0.52520496,0.56630844,0.5747118,0.5608708,0.5433823,0.5405655,0.5618475,0.60546035,0.65296644,0.67884296,0.6629714,0.607415,0.5344044,0.47999156,0.47204128,0.5179086,0.596013,0.67406934,0.72663397,0.74967456,0.7522595,0.74686116,0.7398186,0.7314229,0.71585965,0.68411297,0.6311328,0.56537837,0.5110864,0.49347022,0.5198,0.5711918,0.61704165,0.63341516,0.6155982,0.5757331,0.53771156,0.5253416,0.5514223,0.6087305,0.67668366,0.7340196,0.7710646,0.78830963,0.79146695,0.78529596,0.77329654,0.75643355,0.7326701,0.6966663,0.6435603,0.57465017,0.49974716,0.43393242,0.38857093,0.36727366,0.36647972,0.38331345,0.41655216,0.46407723,0.5151821,0.55290776,0.5614745,0.53898597,0.5004287,0.47227058,0.47585997,0.5136161,0.565079,0.5992066,0.59363675,0.5491674,0.49061012,0.45317554,0.46191344,0.51785237,0.5967098,0.6647511,0.6934817,0.6776204,0.6342511,0.59672374,0.58760875,0.6060434,0.6295764,0.63855964,0.6325006,0.6256187,0.63196754,0.6506857,0.67206913,0.6826651,0.6758762,0.64782244,0.6030262,0.5554771,0.530674,0.5488171,0.60885,0.6845023,0.74218994,0.76165795,0.7462335,0.71592396,0.6939818,0.6924293,0.7082813,0.7263103,0.73054576,0.71218926,0.67635196,0.63635397,0.60522753,0.5834362,0.5616537,0.528851,0.48598036,0.44643727,0.42802092,0.4385518,0.4683907,0.49666142,0.504451,0.4894824,0.4674177,0.46398258,0.49583066,0.5585429,0.62755036,0.6765735,0.6951113,0.6926162,0.6867845,0.6889393,0.6972878,0.70124775,0.6887496,0.65628797,0.6108443,0.57145804,0.5548301,0.5665361,0.59264594,0.6142046,0.619088,0.6105961,0.5989557,0.5939694,0.5997798,0.6150964,0.6323426,0.6401601,0.627811,0.59330314,0.5469063,0.5096559,0.5007387,0.52499324,0.5689853,0.61244494,0.6427238,0.6585295,0.6653401,0.66777754,0.66940564,0.67030686,0.6681203,0.65813595,0.63955003,0.61789274,0.60340196,0.60394996,0.6182366,0.6348757,0.63730866,0.6157306,0.57475084,0.5315565,0.5012879,0.4844097,0.46824324,0.44193402,0.40915227,0.38587916,0.38858435,0.42222798,0.47848365,0.53755504,0.57812285,0.5839785,0.5547128,0.504875,0.4604726,0.44290772,0.4581186,0.49266776,0.52578145,0.54417133,0.54870886,0.5500762,0.55743885,0.572186,0.5864274,0.5887125,0.57040787,0.5310467,0.48092726,0.43728694,0.4166071,0.4247829,0.45409298,0.48730683,0.50566834,0.49902308,0.4727601,0.44664165,0.44171178,0.4633484,0.4981278,0.5229753,0.5235037,0.501584,0.47401106,0.45742834,0.45644185,0.46326947,0.47148374,0.48472214,0.509396,0.54008263,0.5580055,0.54462785,0.49699843,0.4308362,0.37158296,0.34255955,0.35284808,0.39627588,0.45317212,0.5050677,0.53875756,0.55354863,0.55294204,0.54591966,0.5407582,0.5475533,0.5706184,0.60484385,0.6326694,0.63333476,0.5983897,0.54193723,0.49601212,0.48882732,0.5256743,0.585525,0.6362043,0.65398353,0.63384694,0.589997,0.5430053,0.5064792,0.47850016,0.4530302,0.4315563,0.42581046,0.4422139,0.4744574,0.5060517,0.52423894,0.52330023,0.5057593,0.478688,0.45716882,0.45994306,0.5008728,0.5754774,0.6615992,0.7336037,0.7786866,0.79952526,0.804166,0.7982645,0.78497726,0.7686832,0.7551649,0.748444,0.7500188,0.75823635,0.7697447,0.77624184,0.76579887,0.7252918,0.65089446,0.55292183,0.45641792,0.39010546,0.3741528,0.40959123,0.478049,0.5522206,0.6096737,0.64288634,0.6559442,0.6573405,0.6504585,0.6340696,0.6044008,0.56123096,0.50925463,0.45890084,0.42410812,0.41705215,0.44201982,0.49090973,0.54705375,0.59346837,0.6211116,0.6310447,0.6298495,0.62464035,0.61859673,0.6125185,0.60539985,0.59870976,0.595028,0.5977255,0.6057156,0.61452776,0.618167,0.614224,0.6038949,0.5909415,0.5782447,0.5662632,0.55093056,0.5260121,0.48690644,0.43584576,0.3811004,0.33239403,0.29523447,0.26963094,0.2524031,0.2402175,0.23079877,0.22333436,0.21948276,0.22499347,0.24780823,0.2906597,0.3443881,0.39043522,0.41641748,0.427618,0.44382557,0.4797441,0.5323779,0.58393806,0.6157225,0.61686844,0.5854597,0.5296249,0.46819854,0.42792872,0.42825174,0.4708936,0.5351248,0.59473985,0.63046473,0.6419193,0.64020747,0.63925725,0.6462357,0.65856075,0.66967446,0.6736,0.6718418,0.6695145,0.6720571,0.68104905,0.69445163,0.70850223,0.7167235,0.7139533,0.69920605,0.6803059,0.6687882,0.6722507,0.6879709,0.7050689,0.71200705,0.70320576,0.6804864,0.65062624,0.6218703,0.601101,0.59201056,0.5925775,0.59770995,0.6009971,0.60183674,0.6018626,0.60464406,0.6081036,0.61044896,0.6107668,0.6133165,0.6188848,0.6232791,0.6178635,0.6012766,0.5804998,0.56724906,0.5650959,0.5699598,0.57434046,0.5774252,0.58280295,0.59229857,0.5986085,0.5882845,0.5513605,0.48912954,0.4136573,0.33958492,0.27702248,0.2289114,0.19280297,0.16429193,0.13949722,0.117421634,0.09882011,0.085167415,0.076454155,0.072409116,0.07268118,0.07681639,0.08293594,0.0884205,0.09195409,0.09419017,0.09623801,0.09754761,0.09650236,0.09297504,0.08987644,0.09091746,0.09683517,0.103629895,0.10627031,0.10270675,0.095644385,0.08885481,0.084736474,0.08335372,0.08449235,0.08785179,0.09295071,0.09836146,0.10238227,0.103700675,0.10200685,0.097932994,0.09259037,0.08697992,0.08146525,0.075869106,0.069884874,0.063561015,0.057262022,0.051282797,0.04561762,0.04004106,0.034664586,0.030291952,0.028697835,0.031898055,0.040998787,0.05482303,0.070380546,0.084412955,0.095243834,0.10225183,0.105395354,0.104650594,0.10152181,0.09807845,0.09613884,0.09530574,0.09407417,0.090602934,0.08409933,0.07484338,0.06440955,0.055179063,0.04970299,0.049626205,0.05500835,0.0639442,0.07337808,0.080186374,0.08243683,0.07947823,0.07194229,0.061420694,0.050562505,0.042634606,0.04087935,0.047181133,0.060960155,0.07891076,0.09674856,0.11160761,0.12334335,0.13333045,0.14245266,0.15014951,0.15517168,0.15677656,0.15520851,0.15136744,0.14619909,0.1401562,0.13324241,0.12519671,0.11621947,0.10692018,0.09835049,0.091136254,0.085411035,0.08054914,0.07589073,0.071007125,0.06625735,0.062214702,0.059252236,0.056757122,0.05382211,0.04968646,0.044551354,0.03896357,0.033703003,0.029343119,0.026565028,0.025740167,0.026650213,0.028129732,0.028705584,0.027411086,0.0244536,0.020872513,0.017815573,0.015920704,0.01570791,0.018333992,0.025753818,0.038789313,0.055085916,0.06931757,0.07705123,0.07838676,0.07776456,0.08025701,0.08791239,0.09936443,0.11101144,0.11930096,0.121986516,0.11978605,0.115451775,0.11207724,0.109969825,0.10704837,0.10082409,0.091717936,0.08259847,0.076701395,0.075036325,0.07677946,0.080304,0.08419087,0.08712387,0.08835399,0.0881533,0.08762056,0.087727964,0.08826554,0.088300236,0.08669355,0.08319216,0.07791106,0.071415395,0.06419237,0.057263087,0.052004784,0.049824994,0.051352724,0.056271482,0.06388596,0.07345161,0.083982736,0.09358331,0.09997708,0.101847015,0.10024277,0.0981549,0.098975055,0.10474389,0.116041936,0.13232605,0.15284579,0.17591083,0.19896884,0.21832426,0.23118192,0.23659831,0.23605041,0.23200233,0.22657625,0.22100586,0.21540774,0.20949508,0.2022231,0.19209586,0.17693953,0.15639716,0.13374509,0.115855776,0.10770485,0.108085014,0.11019253,0.108731784,0.105043836,0.105628915,0.11530603,0.13247722,0.15062857,0.16392542,0.17109513,0.17492037,0.17864066,0.18341689,0.18918769,0.19712853,0.21161675,0.23622976,0.27006015,0.30408403,0.32781696,0.33418345,0.32522464,0.3070991,0.28734627,0.27075937,0.26126564,0.26021937,0.26486185,0.2683841,0.2656232,0.2590623,0.2555944,0.2596062,0.26897788,0.2806315,0.29419503,0.30965075,0.3240122,0.3317884,0.33042014,0.3202115,0.30372655,0.28284463,0.2602295,0.23855971,0.22063304,0.20836169,0.20432502,0.21267314,0.23704033,0.27503482,0.3155633,0.34448314,0.35497156,0.35066628,0.33931592,0.3238152,0.3027218,0.27635464,0.25073645,0.23478045,0.2337019,0.24671353,0.26656452,0.2843435,0.2924755,0.28881982,0.27655125,0.26192376,0.2504597,0.24389051,0.24076498,0.2386508,0.2365629,0.23492579,0.23404019,0.23426455,0.23698717,0.24576207,0.2629862,0.28601727,0.30601856,0.31343,0.3053995,0.28730756,0.26805156,0.25259936,0.24065001,0.22915058,0.21608497,0.20154524,0.18738638,0.17712228,0.1757114,0.18626142,0.20719318,0.23011005,0.24626918,0.25059375,0.24480884,0.23211712,0.21548338,0.19683431,0.1790572,0.16492899,0.1554901,0.1513408,0.15524514,0.17429447,0.21281372,0.26597247,0.31628475,0.34576988,0.34640822,0.32520434,0.29439208,0.26323733,0.23571004,0.2147373,0.20469724,0.20781422,0.22142768,0.23732579,0.24881954,0.25253236,0.2504268,0.24433716,0.23910666,0.23977959,0.2517796,0.2723118,0.292568,0.30228254,0.29955676,0.28983834,0.28032824,0.2747218,0.27442256,0.28278863,0.30045545,0.32131013,0.32972276,0.3149403,0.27867025,0.23773062,0.21002303,0.20594345,0.22420192,0.2550502,0.286648,0.3097217,0.32388577,0.3342919,0.34900346,0.37018588,0.39465168,0.41429034,0.42449394,0.4266845,0.42809913,0.43371952,0.44073856,0.43930975,0.42113647,0.38866496,0.356151,0.34075093,0.35136187,0.38424316,0.4268053,0.46360645,0.4814109,0.47463107,0.44775078,0.41352066,0.38526306,0.37199238,0.37437072,0.38583434,0.39517415,0.39546168,0.3880339,0.38172367,0.38403141,0.3970132,0.41587162,0.43449938,0.4480252,0.45679736,0.46313798,0.47041833,0.47651818,0.475219,0.45841965,0.42740023,0.39392832,0.3745,0.3762525,0.39427277,0.4157772,0.42892155,0.42549375,0.40371227,0.36957917,0.33640826,0.31998312,0.32919118,0.36180866,0.40200695,0.43228677,0.44116962,0.43377313,0.42264953,0.4205939,0.4287076,0.44023967,0.44534853,0.43961167,0.4243561,0.4042267,0.38352916,0.3649894,0.35027742,0.33962452,0.3319948,0.32580134,0.32058653,0.31718364,0.31621003,0.3166826,0.31659755,0.31537983,0.3149459,0.31788492,0.32376012,0.32841206,0.32698283,0.31825235,0.3051531,0.2921426,0.28173527,0.2740005,0.26741663,0.2611885,0.25605774,0.2545154,0.2584634,0.2669351,0.27512407,0.27665457,0.2675688,0.24894588,0.22608154,0.2050377,0.1895713,0.18063287,0.17697059,0.1760395,0.17438968,0.1694833,0.1608216,0.15011261,0.1391169,0.12889893,0.11953046,0.1112323,0.10363143,0.09626255,0.08874639,0.08229267,0.07892865,0.081592955,0.09397092,0.12152078,0.16739778,0.22781499,0.2886941,0.33283553,0.34875128,0.33741793,0.30861855,0.27476647,0.24514139,0.22506697,0.21597569,0.21610785,0.22065566,0.22392613,0.2217819,0.2127002,0.19707328,0.17548448,0.14994,0.124575585,0.10677161,0.10427228,0.12090381,0.15259676,0.18744709,0.21249688,0.22068907,0.21533225,0.20631075,0.20485735,0.21639876,0.23868947,0.2614833,0.27344716,0.2672577,0.24495809,0.21493691,0.18766665,0.1696258,0.16162537,0.16020405,0.16078508,0.16085397,0.1603971,0.16101116,0.16321957,0.16569592,0.16584885,0.16227096,0.155577,0.14796925,0.14139384,0.1369224,0.1345792,0.13383408,0.13314158,0.13117765,0.12825805,0.12875205,0.13823968,0.15884767,0.1845976,0.20495574,0.21233977,0.20776957,0.19820464,0.19036211,0.18634726,0.18537991,0.1856936,0.18653238,0.18710089,0.18743138,0.18797071,0.18936805,0.19102754,0.19112104,0.18788756,0.18131989,0.17385328,0.1695535,0.17228664,0.18282437,0.19803317,0.2121963,0.2217591,0.22683696,0.2309675,0.23696892,0.24592964,0.25544026,0.26160067,0.25997543,0.24982083,0.23459363,0.22065294,0.2128943,0.21190287,0.21481006,0.21704727,0.21580793,0.21034741,0.20262127,0.19539379,0.19081707,0.18874967,0.1866319,0.18143807,0.17190097,0.15947014,0.14662148,0.13464843,0.123090416,0.11086085,0.09801216,0.085895814,0.07734535,0.076441735,0.08903867,0.119827904,0.16812551,0.22429158,0.27329668,0.30283096,0.31015506,0.30244908,0.2906346,0.2835661,0.2846907,0.29347965,0.30679607,0.31966427,0.32599902,0.32148662,0.30723572,0.2889544,0.27278006,0.2608811,0.25323826,0.24990052,0.25357538,0.26629052,0.28829357,0.31466213,0.33748302,0.34698054,0.33808878,0.31323546,0.28481904,0.26899448,0.2772791,0.3083804,0.34913638,0.3849441,0.40751958,0.4168048,0.41233447,0.3926636,0.35702074,0.31244597,0.27036145,0.24268776,0.23547375,0.2477342,0.27062702,0.29049218,0.29575244,0.28272396,0.25689718,0.22689421,0.19974865,0.17830028,0.16269855,0.15131728,0.1430366,0.13898475,0.14503129,0.16843621,0.21295744,0.27050745,0.3241414,0.35531577,0.3573202,0.3355082,0.302451,0.26858032,0.24166203,0.22685982,0.22643787,0.2375075,0.2534546,0.26875398,0.280813,0.2905892,0.29896915,0.3072084,0.31352016,0.3152188,0.30931625,0.29853332,0.29061195,0.29486346,0.31380168,0.34105888,0.36517778,0.37852612,0.38121864,0.37958,0.3799683,0.3851618,0.39350447,0.40029263,0.40020844,0.38927677,0.3669063,0.33560526,0.30000153,0.26529235,0.23568885,0.21377814,0.19973023,0.1923681,0.18966882,0.19003196,0.19160862,0.19239257,0.18973653,0.18263161,0.172755,0.16593558,0.16972534,0.19052404,0.22822207,0.27343857,0.30963853,0.32204428,0.3083751,0.28058267,0.2587981,0.25799474,0.28438058,0.33209836,0.3904356,0.444429,0.48371688,0.501499,0.49579933,0.46546865,0.41417584,0.3534465,0.30052325,0.2679734,0.2564502,0.2559121,0.25515458,0.24676783,0.22883569,0.20331903,0.17758323,0.16437681,0.17609872,0.21592157,0.2714919,0.32159254,0.34927735,0.35319713,0.34563127,0.34168884,0.34850943,0.36120054,0.3674052,0.35586032,0.32538483,0.28689173,0.25642797,0.24492466,0.25067595,0.2634932,0.27184984,0.27174988,0.26464522,0.25422102,0.24170029,0.22829361,0.21562743,0.20516579,0.19574101,0.18526423,0.17370188,0.16488065,0.16483034,0.1779144,0.202983,0.2308038,0.2484206,0.24705966,0.23094863,0.21375917,0.20950733,0.22052544,0.24066587,0.26293957,0.2891561,0.32504168,0.37180647,0.42136326,0.46126607,0.48384508,0.4881684,0.4782083,0.45886627,0.43493703,0.4115254,0.39054576,0.37017474,0.34371588,0.3077228,0.2670457,0.23751062,0.2360853,0.2676657,0.31644163,0.35374308,0.35765898,0.32881412,0.28783235,0.25874767,0.2530816,0.26760826,0.29017916,0.3094848,0.3182543,0.31539622,0.30251113,0.28392896,0.26566163,0.25558212,0.25831145,0.27078208,0.28349522,0.2880455,0.2832491,0.27279457,0.26062855,0.24788587,0.23496775,0.22144222,0.20669019,0.18978621,0.17176344,0.15548031,0.14499871,0.14341182,0.15109944,0.1642617,0.17592137,0.18105142,0.18032895,0.18109985,0.18954153,0.20636739,0.22368093,0.23329091,0.23063958,0.21948475,0.20601441,0.19592762,0.18993719,0.18635076,0.18285555,0.17900628,0.17569381,0.1742732,0.17638218,0.18232721,0.1893663,0.19094902,0.18188332,0.16444935,0.14957176,0.14919043,0.1670689,0.19588892,0.22345138,0.24177702,0.2514061,0.25876537,0.26896736,0.2821047,0.29330647,0.29820967,0.29634646,0.2924718,0.29277375,0.3009655,0.3161501,0.33374408,0.34859014,0.35711515,0.3586029,0.35304102,0.33944547,0.3161938,0.28437114,0.24930762,0.21764082,0.1930634,0.17507793,0.1620732,0.15455244,0.15584998,0.16921593,0.19470775,0.22719163,0.25865352,0.28174272,0.29443786,0.30050528,0.30651554,0.3154374,0.32393548,0.3254297,0.31637177,0.2989297,0.27800772,0.25782588,0.24104708,0.23065795,0.22921108,0.2363442,0.24715285,0.25570115,0.26002833,0.26351425,0.26961362,0.2772557,0.28103343,0.2777339,0.26977777,0.2645456,0.26894224,0.2849269,0.30847213,0.33138523,0.34756613,0.35513136,0.35806307,0.36091647,0.36737347,0.3764679,0.38404584,0.3840755,0.37396786,0.3567518,0.338889,0.32472232,0.31327364,0.30115342,0.28678247,0.2730405,0.26438332,0.26450655,0.27431548,0.29334337,0.31764162,0.33914605,0.34585312,0.33066824,0.2977004,0.26341036,0.24627672,0.2547797,0.28248295,0.31249866,0.33133575,0.335253,0.3313026,0.32913485,0.33770987,0.36076692,0.39357564,0.42197624,0.4322319,0.42366982,0.41250357,0.4186337,0.45019206,0.49818626,0.54655546,0.58292943,0.6019678,0.6018903,0.5858403,0.5646865,0.55397063,0.5610416,0.5790749,0.59422404,0.6001675,0.60015917,0.601476,0.60617954,0.613439,0.61908597,0.6186721,0.6056395,0.57897586,0.54861635,0.5356906,0.5579496,0.6145746,0.68388724,0.73767775,0.7588827,0.74809647,0.71998763,0.6924673,0.6802571,0.68865746,0.7164156,0.75477314,0.79266363,0.817389,0.82196426,0.8063324,0.77609134,0.7379026,0.696286,0.65542823,0.6184545,0.5879188,0.56372446,0.5432494,0.5231362,0.4992976,0.47095683,0.43977082,0.41562438,0.4098479,0.43177077,0.4758142,0.52678365,0.56715244,0.5913655,0.6055483,0.6200185,0.6402965,0.66341233,0.68402046,0.69720984,0.70343304,0.70419854,0.7044871,0.70615274,0.70872957,0.7023709,0.67645574,0.62345403,0.5497691,0.47087848,0.4050404,0.360997,0.33613944,0.32193372,0.3133988,0.31261003,0.3264326,0.36068037,0.41361618,0.4703246,0.5075131,0.5089018,0.4814272,0.4515907,0.4464325,0.47346413,0.52144533,0.57246757,0.6157369,0.6484068,0.67201155,0.68829983,0.7002813,0.71155876,0.72344923,0.72852683,0.7138433,0.66842455,0.5977087,0.5214824,0.46584213,0.44357204,0.44929895,0.46303383,0.4666605,0.45340356,0.42965055,0.40975618,0.40919378,0.4379866,0.4916881,0.5532531,0.6020815,0.6295119,0.6390836,0.64131683,0.6431394,0.6479854,0.65406,0.65762544,0.6535701,0.6418764,0.6300102,0.6307424,0.6527155,0.6922981,0.7340591,0.76055783,0.7620866,0.7419861,0.71089584,0.68214506,0.66271,0.6533816,0.6467709,0.6344156,0.61280537,0.5899102,0.5807603,0.59483296,0.62597495,0.655914,0.6686116,0.6623583,0.6491448,0.6430276,0.64885503,0.6593618,0.6667871,0.6712448,0.68190974,0.7023499,0.7235675,0.7258835,0.69324416,0.62310547,0.52941006,0.4369795,0.37220278,0.35312268,0.38136652,0.44021115,0.50183064,0.5421,0.5521112,0.5391225,0.51964384,0.51161367,0.5273213,0.56525445,0.60881823,0.63535255,0.6294692,0.59135467,0.5354527,0.48893288,0.47790936,0.5147922,0.5850653,0.6609003,0.7180789,0.7504635,0.7636537,0.7652013,0.757847,0.7393089,0.70531017,0.6547342,0.59400886,0.5411498,0.51684123,0.5339134,0.58279186,0.6375217,0.66884416,0.6618156,0.62099904,0.5669246,0.5284176,0.5272185,0.56681687,0.628156,0.68593556,0.7240193,0.7434059,0.75311995,0.76172394,0.7721575,0.7835369,0.79303867,0.79722786,0.79150385,0.7711754,0.7330516,0.6808007,0.6226771,0.56963587,0.52633035,0.49305764,0.4673101,0.45124283,0.4493941,0.46380952,0.48775855,0.5079799,0.51284015,0.501205,0.48532772,0.4837334,0.50794536,0.5502827,0.5861993,0.5903301,0.556637,0.5060792,0.4740189,0.4874083,0.54569966,0.6224999,0.6826295,0.70265007,0.68235874,0.6415715,0.6072075,0.5948735,0.6003507,0.6095379,0.61420304,0.6207979,0.63720137,0.6629147,0.6860206,0.6955114,0.6875257,0.6637178,0.6273789,0.5833593,0.54597306,0.533159,0.555628,0.60237217,0.6498464,0.6781903,0.6861048,0.6865917,0.6959141,0.72154784,0.7587707,0.792296,0.8052806,0.78693277,0.73923653,0.676759,0.61906415,0.5803291,0.5583505,0.54011863,0.51087564,0.46933746,0.42830908,0.4082178,0.42351007,0.47088957,0.5296504,0.57039636,0.5753839,0.5510544,0.52678496,0.5334609,0.57890016,0.64388233,0.69861525,0.7282171,0.7365937,0.7370809,0.7352646,0.7284573,0.7104927,0.68114084,0.6449849,0.610858,0.58778024,0.58362573,0.5982008,0.6225191,0.6421005,0.64844745,0.64113706,0.62783474,0.61675155,0.6168044,0.6311169,0.65573454,0.67549944,0.6738865,0.6435768,0.59742945,0.5615406,0.5583574,0.59054565,0.6426107,0.69618607,0.7398371,0.7688578,0.7783745,0.7673487,0.7415722,0.7124758,0.6871664,0.6654279,0.6460157,0.6331833,0.6343073,0.6499676,0.66904265,0.6738228,0.65158314,0.6033636,0.5446583,0.49588028,0.46876588,0.45874763,0.45130566,0.43905547,0.4297708,0.44060007,0.4799458,0.54052526,0.6029232,0.64694715,0.6582009,0.6324529,0.5799697,0.5257347,0.49858275,0.5135207,0.5602412,0.6111462,0.63918597,0.6361497,0.61509615,0.6011475,0.6111948,0.64154965,0.66940594,0.6711274,0.6377056,0.58038616,0.52242184,0.48787245,0.48889986,0.52152014,0.5666547,0.6023002,0.6113875,0.59351134,0.56247777,0.5415559,0.5446213,0.5688961,0.59616345,0.6082472,0.5986748,0.576914,0.55862623,0.552898,0.5549277,0.5573705,0.56168896,0.58024883,0.6184563,0.66560054,0.69554687,0.6869235,0.63503915,0.5607155,0.49719295,0.4720639,0.4897482,0.5331906,0.5817464,0.6229629,0.6550879,0.67562336,0.68068385,0.66944164,0.65317726,0.65138483,0.67527026,0.71388334,0.73624563,0.7166025,0.65574527,0.5854797,0.5447124,0.553972,0.603175,0.6637337,0.70797664,0.7225726,0.7108752,0.6877437,0.6682942,0.65600175,0.6401673,0.6117377,0.57924706,0.56561595,0.5854221,0.62765336,0.6656173,0.676848,0.65948164,0.6239361,0.58424,0.5493121,0.5316332,0.5457516,0.6014196,0.6865348,0.77236414,0.8304431,0.852808,0.8497851,0.83865976,0.83197594,0.8348612,0.8454198,0.8578009,0.866673,0.8716895,0.87588376,0.8802474,0.8786862,0.85997623,0.8159998,0.7481067,0.66955703,0.5997081,0.5583367,0.5568779,0.5933442,0.65164846,0.70999783,0.7526973,0.7751725,0.78014916,0.7691686,0.7408595,0.6946947,0.6354449,0.5730044,0.5190797,0.48610976,0.48436514,0.5175684,0.5764614,0.64077836,0.6896963,0.7142327,0.7204666,0.72131944,0.72534704,0.73168236,0.7350612,0.73263603,0.72748727,0.7234912,0.72260195,0.72339684,0.7254754,0.7283576,0.731026,0.7305823,0.7241013,0.7085967,0.67972976,0.6347759,0.5760985,0.513862,0.45861626,0.416001,0.38379398,0.35777485,0.33502272,0.3155867,0.30024886,0.28970894,0.2839563,0.28351536,0.2904241,0.30994353,0.34698257,0.3998642,0.4536891,0.4875622,0.49022058,0.47392455,0.46565577,0.48560086,0.53041905,0.57889634,0.60938305,0.61127406,0.58754426,0.54867727,0.5125663,0.49570546,0.51033235,0.5529391,0.6104085,0.6636374,0.7026151,0.72652763,0.7426772,0.7559831,0.76610214,0.768909,0.7627256,0.7523976,0.7453613,0.74654466,0.7525746,0.75693446,0.752464,0.7377567,0.7130137,0.68457264,0.66093206,0.6547771,0.66927844,0.6971318,0.72033733,0.7286523,0.72351295,0.71698457,0.71756214,0.72737986,0.7419901,0.7544348,0.7558546,0.74059707,0.71076256,0.67756337,0.6526572,0.6410501,0.63810015,0.63668936,0.6326024,0.6271388,0.62409335,0.62570125,0.63050455,0.6319677,0.6219067,0.5940947,0.54886866,0.49300715,0.43767723,0.39470145,0.37187454,0.3692218,0.37876618,0.38969675,0.3945918,0.39265785,0.38999978,0.39438915,0.40914145,0.4268092,0.43662155,0.43424892,0.429688,0.43658516,0.46151432,0.49769935,0.5343347,0.56394976,0.5846906,0.59478784,0.59142345,0.57736564,0.5633437,0.5628,0.57771343,0.60047394,0.6218187,0.6409771,0.6593631,0.67433804,0.68036747,0.67577165,0.66541594,0.6524156,0.63614106,0.61598045,0.6014077,0.60672855,0.6393079,0.6891852,0.7378883,0.770154,0.7823326,0.7760646,0.7558903,0.7257912,0.6936493,0.66846555,0.66020703,0.67400265,0.7073353,0.7494221,0.7855933,0.8052597,0.80442023,0.785052,0.75151944,0.7088565,0.6637519,0.62242717,0.59062004,0.56936336,0.555618,0.5411524,0.5190032,0.4887456,0.46258616,0.45634738,0.47882023,0.52035624,0.56279355,0.5911648,0.6053252,0.61392015,0.62541217,0.64128757,0.65683347,0.668003,0.6731434,0.675724,0.6796992,0.69005316,0.70649076,0.7233939,0.7296255,0.7174601,0.6855108,0.6386401,0.58203274,0.5213056,0.46237636,0.41244876,0.37626994,0.3560981,0.3522111,0.36630234,0.39902163,0.44588026,0.4930868,0.5251505,0.5354781,0.53320366,0.5329306,0.5427315,0.55819225,0.5714212,0.5796496,0.587987,0.6028369,0.62671155,0.6569761,0.68986434,0.7205281,0.7425144,0.7453833,0.72077584,0.6682956,0.6011626,0.54089075,0.50615805,0.50075513,0.51205367,0.5207441,0.51389354,0.49123082,0.46487245,0.45290384,0.4700137,0.51592094,0.57331294,0.61956066,0.64219505,0.6455814,0.6422083,0.64268804,0.6491557,0.65731454,0.66016763,0.6523996,0.63414186,0.6130757,0.60356975,0.61737996,0.65399766,0.69645745,0.7235014,0.72307795,0.7011395,0.6733172,0.65386575,0.6459692,0.6438785,0.63959193,0.62951297,0.61637807,0.60735345,0.61031514,0.6285037,0.65625995,0.68120366,0.6909476,0.6826857,0.66452926,0.65114206,0.6516913,0.6635837,0.6757398,0.68211174,0.6895736,0.71064264,0.74691516,0.7813387,0.788265,0.7519323,0.6770274,0.58486944,0.50223464,0.45126247,0.44414464,0.47818527,0.535446,0.5893008,0.6186426,0.6179852,0.59658694,0.5728545,0.5647518,0.58393615,0.6242039,0.66482335,0.6779018,0.6496315,0.5865635,0.5182359,0.47867504,0.48991218,0.5458112,0.6210621,0.68840736,0.7359639,0.76573557,0.7839932,0.7925632,0.78749853,0.7631255,0.71588033,0.6494067,0.5765293,0.518744,0.49642715,0.51716214,0.5680024,0.62246495,0.6541438,0.6497906,0.6143367,0.56906706,0.5428044,0.555129,0.6049378,0.6709948,0.72998875,0.7700017,0.7944719,0.81099635,0.8235295,0.8290603,0.822427,0.799413,0.7573707,0.69547725,0.6164107,0.5302601,0.45222828,0.39707544,0.3705832,0.36931205,0.38517353,0.41316006,0.4509517,0.49417496,0.5314466,0.5485346,0.53787977,0.506704,0.47637168,0.4703267,0.49990368,0.553612,0.6038642,0.6217623,0.59872615,0.5530147,0.52176166,0.5352576,0.5978723,0.6843967,0.7576082,0.78719014,0.76628155,0.71272063,0.65993756,0.6326315,0.6320142,0.6399487,0.64195514,0.6392493,0.6431554,0.6584449,0.67970514,0.6954734,0.69869184,0.68610096,0.6596839,0.6241598,0.5941122,0.5873268,0.61541826,0.66682386,0.7156306,0.7387617,0.7355202,0.7216985,0.716366,0.72791284,0.75284225,0.77804786,0.78795093,0.7722458,0.7327723,0.6846466,0.6459976,0.6270203,0.6198844,0.6070002,0.5725665,0.51808596,0.4611254,0.4262649,0.42782283,0.4622108,0.5089607,0.5445321,0.55343837,0.53902155,0.5203862,0.52247167,0.5566804,0.612571,0.667182,0.7036619,0.72297263,0.735796,0.75058603,0.76395243,0.7655489,0.7464721,0.7093659,0.6675698,0.63884014,0.6330141,0.64740866,0.66761786,0.6791587,0.6769583,0.66786104,0.66202563,0.66397053,0.67185456,0.68153316,0.6897044,0.69139034,0.68079895,0.6550527,0.62219787,0.599081,0.60244876,0.63369966,0.67821485,0.7153128,0.73556644,0.7424837,0.74593353,0.7494214,0.7518107,0.7492992,0.742093,0.7307217,0.71840143,0.7098996,0.71270984,0.7308671,0.7597909,0.7847357,0.7859748,0.7506816,0.68191034,0.60129905,0.5327667,0.48808706,0.45885393,0.4336375,0.41033912,0.40088335,0.4171792,0.46163955,0.5247149,0.58889246,0.63475806,0.6453004,0.61632204,0.5606514,0.50847375,0.48898244,0.514949,0.57177776,0.6299071,0.66053027,0.6537754,0.6217739,0.5923682,0.5887258,0.6138301,0.64692396,0.6605258,0.6387173,0.5883782,0.5337325,0.5013439,0.5052793,0.538156,0.5781701,0.5991103,0.58848494,0.553654,0.52027994,0.5120544,0.53509086,0.574398,0.6077661,0.6190315,0.6062052,0.58082366,0.5601527,0.5531085,0.5539088,0.5534628,0.55421495,0.56908387,0.6013852,0.63447237,0.641709,0.6088924,0.54448277,0.47485635,0.4295851,0.42709884,0.46582493,0.5261267,0.58277434,0.61894464,0.63286185,0.63183594,0.6242336,0.61429983,0.6081402,0.6144493,0.6412647,0.6819701,0.7160783,0.71893126,0.6842983,0.6305585,0.59280974,0.5977206,0.6465519,0.71483225,0.76863384,0.7853584,0.7628444,0.7190662,0.6748664,0.64107144,0.6126025,0.58538556,0.56613153,0.5700729,0.6007328,0.643784,0.6759092,0.68244034,0.66500115,0.63461757,0.60395974,0.5804775,0.5737205,0.5937347,0.6479326,0.72701365,0.808726,0.86885005,0.8973999,0.8989056,0.8860588,0.8711236,0.8633128,0.8667436,0.8801425,0.89726686,0.91138357,0.91891164,0.9189438,0.9091539,0.88128906,0.82693696,0.74562955,0.6542097,0.57972234,0.54587626,0.55779403,0.60195607,0.65746766,0.70821756,0.7479415,0.775986,0.79350895,0.7997411,0.79221517,0.7676293,0.724874,0.66789675,0.6067888,0.55711454,0.5345276,0.547781,0.5920406,0.6512496,0.70602924,0.7448213,0.76600623,0.77588564,0.7795818,0.780879,0.7810833,0.7838699,0.7902866,0.7990391,0.80536556,0.806428,0.80192,0.7938021,0.7842002,0.77380997,0.762434,0.74868107,0.7302437,0.7011712,0.6549289,0.5897911,0.5142324,0.44196877,0.38355675,0.3413314,0.3122538,0.2927194,0.28052935,0.27460933,0.27450487,0.28220454,0.30291975,0.34228063,0.39787328,0.4540534,0.48866117,0.49106398,0.4747176,0.46873602,0.49495235,0.5501394,0.6102552,0.64870375,0.6519084,0.6239894,0.5788345,0.5354809,0.5102642,0.5162509,0.55514234,0.61625576,0.6791098,0.7247956,0.7472357,0.7526775,0.7544234,0.7596434,0.7698727,0.78017217,0.78715235,0.78569967,0.7723766,0.747606,0.7190685,0.6974876,0.68535334,0.678499,0.6702227,0.6632747,0.663071,0.6745529,0.6935846,0.71422243,0.73041135,0.743866,0.7587517,0.7797771,0.802599,0.818713,0.8191199,0.8050769,0.7826769,0.75985485,0.7394383,0.72443587,0.7181723,0.72168636,0.7298258,0.7320211,0.72284967,0.7043929,0.68655425,0.6763582,0.67507535,0.67688495,0.6739829,0.6596725,0.63063806,0.58827657,0.54037184,0.49726543,0.46697626,0.44833425,0.4373438,0.4304938,0.42970946,0.43574715,0.44942734,0.46976557,0.49360433,0.5108668,0.5103832,0.49090564,0.4686294,0.46692106,0.49992833,0.561302,0.63038343,0.6844623,0.7094647,0.7023575,0.66974205,0.627515,0.59386724,0.5816588,0.5875852,0.5999797,0.608054,0.6135306,0.62272054,0.6395903,0.6596543,0.67575735,0.6818147,0.6741328,0.6508622,0.6160118,0.58326006,0.5716503,0.59127903,0.63500327,0.682349,0.71511316,0.7250385,0.71527916,0.6932287,0.6680739,0.6466839,0.63604826,0.63935083,0.65668654,0.6791138,0.69755393,0.70503074,0.70590204,0.7047222,0.7040264,0.69727516,0.67921704,0.6500866,0.6181433,0.5929634,0.5771725,0.56598145,0.5487459,0.51969963,0.48113087,0.44772804,0.43494132,0.45095327,0.4870198,0.5277271,0.5598712,0.58245945,0.60081005,0.62050486,0.64105207,0.6578412,0.66632295,0.6664037,0.6625152,0.66170603,0.6691804,0.6855832,0.7032288,0.7085437,0.68726045,0.63484865,0.56023365,0.48304793,0.4208221,0.38004658,0.35461295,0.3366389,0.32464454,0.3254862,0.34588063,0.38523528,0.43226,0.47105905,0.4911436,0.494751,0.49289095,0.49532542,0.50413364,0.5171366,0.5330331,0.55389214,0.5822406,0.6189118,0.66108465,0.70291525,0.73651844,0.7544913,0.7529154,0.7339571,0.7048807,0.6724871,0.63948303,0.6043076,0.56599814,0.5236882,0.47824657,0.43129113,0.39002168,0.36432067,0.36538693,0.39657047,0.45144412,0.51094574,0.5561591,0.57621235,0.57645124,0.56787866,0.5616582,0.56157374,0.56754917,0.5752073,0.57917136,0.5753677,0.5645391,0.55422926,0.5546076,0.5721422,0.6026923,0.63402206,0.6541538,0.65871114,0.65231943,0.6424019,0.6357054,0.6333843,0.63279665,0.6275582,0.6144585,0.59656113,0.5851632,0.5911669,0.616633,0.6500222,0.6745832,0.67967445,0.66867477,0.6546306,0.64987856,0.6572353,0.6709309,0.68492144,0.6995806,0.71859246,0.7407631,0.75396556,0.7415221,0.69214463,0.61037445,0.5141553,0.42777428,0.37125242,0.35699582,0.38561144,0.44437036,0.5076092,0.55058485,0.5620971,0.5499794,0.5305324,0.5202694,0.5291095,0.55843204,0.5961969,0.62291795,0.6198469,0.5848584,0.5321518,0.49191093,0.48864794,0.5308273,0.5998251,0.66894263,0.7177796,0.7451916,0.7590806,0.76693815,0.7677049,0.7553568,0.7227676,0.66916966,0.60310525,0.5462868,0.52341956,0.548105,0.6087155,0.67485595,0.7167999,0.7199257,0.6885293,0.6376481,0.59230137,0.5766124,0.60398394,0.66434026,0.7332101,0.7871916,0.81809276,0.8297177,0.83017236,0.8246296,0.8155441,0.80251473,0.7841718,0.7584994,0.72573847,0.68690443,0.6434059,0.594394,0.5408274,0.48561084,0.43673846,0.40275264,0.3929945,0.40943468,0.4457793,0.48409447,0.50623655,0.50162375,0.4768447,0.45170188,0.44866526,0.47792292,0.527293,0.56923026,0.5775135,0.5477904,0.50172466,0.4740572,0.4894295,0.5464298,0.61970115,0.67630714,0.6929324,0.6674245,0.61798865,0.5729229,0.5524547,0.5558073,0.56887347,0.57863134,0.58791685,0.60359496,0.6279292,0.64897186,0.65464425,0.63977677,0.6103215,0.5746917,0.5400401,0.5168068,0.51779103,0.55324626,0.61487406,0.6801369,0.7215276,0.72745085,0.7049835,0.6757354,0.65969133,0.6641155,0.68070173,0.6942615,0.6950965,0.6849609,0.67252946,0.66382056,0.65563434,0.63834405,0.6037455,0.5522748,0.49482277,0.4482188,0.4282296,0.4409999,0.47899127,0.5225541,0.5494962,0.5481715,0.52704245,0.5101456,0.52038497,0.5601855,0.61199284,0.6525504,0.6726608,0.67778355,0.6795719,0.6835242,0.68738705,0.68419784,0.6679113,0.6380305,0.60152,0.5711077,0.55713177,0.5602791,0.570515,0.5757129,0.5710966,0.56010395,0.5493817,0.54272753,0.5422569,0.54748815,0.5559965,0.56153876,0.55869955,0.54521257,0.52523345,0.50688887,0.4993995,0.5070298,0.5267542,0.5504897,0.57059664,0.5835698,0.5897055,0.5919564,0.59410983,0.59935635,0.60756814,0.6153248,0.618093,0.61482704,0.6090118,0.60488933,0.6022668,0.59411234,0.5724709,0.5341113,0.4860194,0.44047537,0.40845883,0.3908048,0.37996814,0.3675734,0.35314783,0.34426746,0.34966323,0.3734796,0.4123427,0.45654675,0.49128285,0.50229007,0.4843986,0.4473637,0.41304848,0.40086937,0.41627654,0.44740784,0.47719863,0.49373627,0.4974607,0.49645054,0.5004577,0.5125763,0.5276301,0.53500646,0.52497655,0.4941975,0.44853806,0.40357068,0.37681076,0.37787327,0.39974403,0.42434585,0.432698,0.41856095,0.39101103,0.36943987,0.36829004,0.38659236,0.40832654,0.41618213,0.40396217,0.38124934,0.3638408,0.3627464,0.37514937,0.39223528,0.40824416,0.42732075,0.45275593,0.47977567,0.4940993,0.4838786,0.4488592,0.40302217,0.3679026,0.3587122,0.37599087,0.40633202,0.4357824,0.4585438,0.4760629,0.48962617,0.49592927,0.4919642,0.48041734,0.47228897,0.47854388,0.49928677,0.5191219,0.51765424,0.48694322,0.44213834,0.41248903,0.4218278,0.4695324,0.5327185,0.57997984,0.59315705,0.57376647,0.5409617,0.5143034,0.5012409,0.4920729,0.47442845,0.4481212,0.4277912,0.42819548,0.44995788,0.47987124,0.5016361,0.5077525,0.5004321,0.48733807,0.47454667,0.46796718,0.47497928,0.50273156,0.54857564,0.5980199,0.6338024,0.64943284,0.65101486,0.6481809,0.645171,0.6408999,0.63465995,0.6294143,0.62913936,0.6350109,0.6431492,0.64852923,0.64582324,0.63214904,0.6032273,0.5582463,0.50091726,0.4461188,0.41231164,0.41390482,0.44897482,0.5016679,0.55077654,0.5830245,0.59705037,0.5991555,0.5939036,0.57976764,0.5513702,0.5072184,0.45356765,0.40295112,0.36790487,0.35527346,0.36480978,0.38950598,0.41979817,0.44614092,0.463833,0.47321078,0.47871062,0.48404142,0.49026492,0.49632,0.5017819,0.5077463,0.51491,0.52202183,0.5260446,0.5248639,0.51917595,0.51200914,0.50654316,0.5032087,0.500387,0.4951321,0.48550233,0.4691924,0.44438127,0.41012025,0.36883482,0.3258495,0.28704774,0.25626135,0.23392153,0.21867687,0.20815516,0.20053352,0.1945038,0.1909675,0.19355619,0.20739834,0.23398924,0.26680776,0.29356515,0.30640587,0.31040323,0.32084724,0.34953913,0.39406493,0.4396875,0.47101745,0.4817153,0.47415248,0.45451927,0.42955232,0.4086927,0.4032166,0.42038155,0.45564458,0.4944265,0.52129155,0.53035396,0.525713,0.51641876,0.50913024,0.5062995,0.50619394,0.5067205,0.50637174,0.5066449,0.5089271,0.5146327,0.5220285,0.5288721,0.53230125,0.5308878,0.52450633,0.5148477,0.50570256,0.50047386,0.4992406,0.49764058,0.4899377,0.47606802,0.46175265,0.45546377,0.45860496,0.46605012,0.46980104,0.46722874,0.46136656,0.45707455,0.4568722,0.4587848,0.46044895,0.46013513,0.4603459,0.46217135,0.4661008,0.4684389,0.46732605,0.46118847,0.4520366,0.44153574,0.4317514,0.4207755,0.40582964,0.38385162,0.35705587,0.32909775,0.30497453,0.28697085,0.2766365,0.27415326,0.27955177,0.2931484,0.3127364,0.33200505,0.34169498,0.3379408,0.32758752,0.32395792,0.3362374,0.36129764,0.38823688,0.40705478,0.41426516,0.4102721,0.3964707,0.3775957,0.361889,0.3565388,0.3593594,0.36176577,0.35724083,0.3491993,0.34522334,0.349846,0.3598102,0.36946264,0.37414017,0.37155846,0.36087754,0.34489456,0.3326088,0.3344625,0.3546196,0.38559112,0.4151276,0.43387023,0.44031444,0.43644348,0.4256445,0.4110513,0.39738998,0.38972744,0.39168644,0.40317866,0.42082036,0.44013754,0.4583601,0.47381637,0.48553824,0.4908255,0.4868436,0.47058558,0.44327357,0.41040465,0.38091025,0.35951248,0.34513843,0.33125246,0.31382576,0.2928907,0.27479842,0.2664487,0.271979,0.2881377,0.30759418,0.3244543,0.33764544,0.34989354,0.36238143,0.374581,0.38322926,0.38659248,0.38387573,0.37796775,0.37269333,0.37277234,0.37946868,0.39022148,0.39757398,0.3941064,0.37569118,0.3449671,0.30868182,0.27473256,0.24723053,0.22617376,0.20885164,0.19463979,0.18606134,0.18764953,0.20147006,0.22468948,0.24923865,0.26663896,0.27328023,0.2732871,0.2734915,0.27775684,0.28382432,0.28729245,0.2859427,0.28223106,0.28137538,0.2874842,0.30101505,0.318992,0.33722404,0.35132602,0.35669863,0.34926662,0.32802546,0.2968631,0.26409692,0.2376432,0.22095782,0.21077229,0.20156749,0.19013673,0.17855014,0.1717393,0.17415567,0.18688174,0.20657651,0.22652842,0.2405466,0.24654108,0.24752347,0.24755956,0.24900353,0.2508993,0.25196335,0.25111654,0.24874292,0.2454517,0.24306007,0.24466307,0.25274202,0.26697508,0.2817016,0.29032806,0.28811488,0.2761738,0.25847533,0.24023026,0.22528715,0.21569194,0.21139593,0.21022849,0.20971622,0.20840724,0.20714432,0.2077247,0.2110787,0.21603628,0.21973245,0.21985811,0.21619432,0.21171725,0.21010935,0.2132711,0.21930361,0.22508419,0.22909296,0.23250951,0.23663665,0.24070416,0.24147165,0.23546968,0.22081017,0.19906844,0.17477639,0.15448038,0.14378786,0.1448791,0.15473838,0.16633843,0.1727357,0.17096438,0.16321379,0.15449797,0.14975774,0.15166862,0.159232,0.16812174,0.1729539,0.17072393,0.16221173,0.15104562,0.14159244,0.13708012,0.13822483,0.14305942,0.14833666,0.15191056,0.15384243,0.15569551,0.15840572,0.16091754,0.16040216,0.15421386,0.14203213,0.12674025,0.113626875,0.10746726,0.110003494,0.118307255,0.1272019,0.13177972,0.13013346,0.12275243,0.11245501,0.10308606,0.098461576,0.100031994,0.106219985,0.113690995,0.11980752,0.12383282,0.12635428,0.12798695,0.12869532,0.12791756,0.12517494,0.120323054,0.11356005,0.1050956,0.09520116,0.08435572,0.073592626,0.0642554,0.057575762,0.054046106,0.053645562,0.055859506,0.059965152,0.06439626,0.06730078,0.06701883,0.063586146,0.058859766,0.0558778,0.056830022,0.061302885,0.06644375,0.06864209,0.06632994,0.060701575,0.055274457,0.05327396,0.055986952,0.061760068,0.067399785,0.06982368,0.06788084,0.0627245,0.057270106,0.054238785,0.054479573,0.0565629,0.058484018,0.05940814,0.059981775,0.061107486,0.062746406,0.064104564,0.06427857,0.063021466,0.06034215,0.056598127,0.052457765,0.049454868,0.049095914,0.051834967,0.056213085,0.059953105,0.061403666,0.060636234,0.058967356,0.058013815,0.058561962,0.06035455,0.062258612,0.06312219,0.062162697,0.059415083,0.055524334,0.051511556,0.048098516,0.045319866,0.042699564,0.039816186,0.036928806,0.034754574,0.033997003,0.034594327,0.035759404,0.036319003,0.035595875,0.033867255,0.032452505,0.03274843,0.03524418,0.038929183,0.04217494,0.043842614,0.04405536,0.04365329,0.043416325,0.043428604,0.04330108,0.04257843,0.041186657,0.039362047,0.03752851,0.036087263,0.03530124,0.035111867,0.035084855,0.03473766,0.033893887,0.032780435,0.03177825,0.031138942,0.030993216,0.031207249,0.031488348,0.031345904,0.030572126,0.029366715,0.028454063,0.028521568,0.029852837,0.03199333,0.034211203,0.03584904,0.03678563,0.037119966,0.037119936,0.036847387,0.036381785,0.035658866,0.034677878,0.033426873,0.032065336,0.030898502,0.030186417,0.029944167,0.029738137,0.029006906,0.027292544,0.024689175,0.021729186,0.019198226,0.017538931,0.01663406,0.015926233,0.015020862,0.014062882,0.013613428,0.01412812,0.015546366,0.017343553,0.018822894,0.019456044,0.019038418,0.017790264,0.01630284,0.015269096,0.015095293,0.015640048,0.016379995,0.016754404,0.016536513,0.015889756,0.015287832,0.015158108,0.015623,0.016343674,0.016793765,0.016578345,0.015707565,0.01453777,0.013584346,0.013213194,0.013485593,0.014090211,0.014572304,0.014503095,0.013797364,0.0127072735,0.011770275,0.0113879405,0.011603706,0.012062955,0.012316738,0.012132133,0.011600205,0.011051322,0.010743775,0.010715116,0.010784082,0.010860789,0.011034031,0.011442166,0.011975766,0.012285941,0.012056138,0.011293892,0.01034195,0.009643209,0.009444459,0.009687715,0.01009591,0.010407341,0.010514297,0.010466914,0.01036287,0.010256746,0.010161008,0.010088663,0.010095019,0.010212929,0.010362004,0.010330292,0.00992883,0.009190396,0.008417177,0.007993732,0.008118404,0.008665034,0.009296018,0.009675719,0.009673464,0.009361032,0.008944148,0.008567241,0.008265238,0.007961781,0.007651666,0.0074264877,0.0074261837,0.0076451288,0.00793306,0.008085422,0.008021313,0.0077982233,0.0075377054,0.0073112063,0.0071291304,0.0070192195,0.007067073,0.0073495046,0.007819625,0.008309048,0.00866376,0.008849897,0.0089421915,0.008994643,0.009008873,0.008946903,0.008828769,0.008694384,0.008598172,0.008539848,0.008515718,0.008485622,0.008398906,0.008162341,0.0077273776,0.007123044,0.0065047196,0.0060620285,0.0059386683,0.0061376486,0.0065488927,0.0070203417,0.007432461,0.007717529,0.0078334175,0.0077658747,0.0075293835,0.0071730553,0.0067555406,0.0063242987,0.005930504,0.0056349556,0.0055189054,0.0056169606,0.005892856,0.0062227957,0.006481534,0.006594034,0.0065699522,0.0064604767,0.0063175694,0.0061721173,0.0060418514,0.005948,0.0058993273,0.0058875405,0.005883671,0.005874556,0.005853595,0.0058173,0.0057419916,0.005609889,0.005413661,0.0051530097,0.0048191245,0.0043999916,0.0039080735,0.0033835603,0.0028811058,0.0024358537,0.0020562604,0.0017335727,0.0014597471,0.0012344645,0.0010587435,0.00092759193,0.00082674186,0.00073921477,0.00065487926,0.00057453784,0.00050437666,0.00044720186,0.00039861837,0.00035284602,0.00030771494,0.00026627237,0.00023161272,0.00020419557,0.00018178452,0.00016191839,0.00014339837,0.00012615275,0.000110663874,9.7226024E-05,8.578002E-05,7.597969E-05,6.7421184E-05,5.9810973E-05,5.3011066E-05,4.6991892E-05,4.1683335E-05,3.6882615E-05,3.2288113E-05,2.7707845E-05,2.312895E-05,1.8722903E-05,1.46915145E-05,1.1187505E-05,8.266496E-06,5.88225E-06,3.9753263E-06,2.4845897E-06,1.4045248E-06,6.9640055E-07,2.9985733E-07,1.08179414E-07,3.265934E-08,7.2109523E-09,1.1264553E-09,1.084438E-16,0,0,0,0]