[0.0048020035,0.005538002,0.007190893,0.009267941,0.010922323,0.01204181,0.013563678,0.017355287,0.02370134,0.030719511,0.03460451,0.033555258,0.029005373,0.025630852,0.027329786,0.035141658,0.04684634,0.05888423,0.06853555,0.07376323,0.07408893,0.06958353,0.06252196,0.05540872,0.05061308,0.047880676,0.045574,0.04161198,0.035808828,0.0302953,0.028522477,0.03303427,0.042352784,0.0517555,0.055449996,0.052024588,0.04392451,0.035586182,0.028736018,0.02310543,0.018426899,0.01601848,0.018050859,0.024658928,0.034438107,0.04453768,0.053659633,0.061572473,0.068811364,0.07553483,0.08121488,0.086065054,0.08942342,0.089772336,0.083913624,0.070904694,0.054503474,0.04191539,0.039383385,0.046982605,0.06049486,0.073153965,0.0814416,0.08365318,0.08161435,0.07625201,0.069148,0.06022963,0.050186187,0.039511487,0.02960729,0.022426775,0.019610055,0.021642292,0.026105298,0.029560646,0.028666057,0.02347979,0.016119685,0.010115918,0.0073445807,0.008453149,0.012019786,0.016331203,0.019738855,0.023423428,0.029552592,0.039692808,0.050958034,0.059165876,0.06161894,0.060384344,0.058322575,0.056234423,0.051433846,0.041997638,0.029264776,0.018012432,0.013045927,0.017025238,0.029469833,0.046774406,0.06272439,0.07071338,0.06790632,0.057628613,0.04753159,0.043710127,0.04667443,0.05237879,0.057028934,0.059545953,0.060076516,0.0572743,0.049351875,0.036585934,0.022537934,0.01117267,0.004627758,0.0026597574,0.004490018,0.008975843,0.0144739775,0.018596413,0.020111745,0.019664543,0.020104693,0.025120268,0.038882066,0.062072773,0.08908699,0.1072439,0.10652354,0.087839834,0.06518374,0.054058585,0.05979958,0.07428297,0.083706014,0.080298506,0.06596037,0.049335003,0.03774513,0.03400817,0.03646503,0.04157785,0.046565045,0.04982063,0.051786616,0.05345802,0.057570737,0.06664527,0.08137745,0.09745265,0.10737089,0.10530005,0.09129601,0.07184469,0.055778164,0.049879227,0.054695327,0.064607255,0.07195655,0.073189445,0.07088906,0.07005671,0.07160749,0.07165113,0.06504068,0.052132457,0.03759299,0.027370974,0.022605637,0.02127143,0.019721845,0.016833577,0.013469157,0.012332405,0.015165477,0.021416685,0.028168371,0.032833803,0.035976455,0.040660962,0.049336392,0.060080633,0.06756971,0.066639304,0.056582194,0.041157033,0.02596532,0.016170418,0.016618244,0.032761168,0.06682106,0.11303165,0.15572895,0.17842554,0.17477858,0.15235816,0.12517877,0.102323264,0.08657247,0.07702878,0.07396408,0.075863294,0.07784501,0.07434664,0.064237736,0.054945987,0.056272,0.074248254,0.105143845,0.14030008,0.17060159,0.190134,0.1946845,0.18317728,0.15937553,0.13169013,0.10758532,0.089647025,0.075302735,0.061233167,0.045830917,0.03055446,0.01806906,0.010452621,0.007474964,0.0073235226,0.008938798,0.012812636,0.020206975,0.029773528,0.037797302,0.04036321,0.038603976,0.038827855,0.047156274,0.06338502,0.079553425,0.08869585,0.08848527,0.082926326,0.07358239,0.0611652,0.04560246,0.03166647,0.023848815,0.024173973,0.028967068,0.03302032,0.032291904,0.026526256,0.018243136,0.010956556,0.0071707875,0.0074071363,0.010758762,0.016123494,0.022649169,0.030196445,0.03755265,0.043922547,0.047819,0.05054671,0.053580623,0.058959275,0.06508703,0.06896001,0.06787828,0.062073838,0.053766754,0.044331554,0.034517974,0.024297109,0.015067571,0.0078060552,0.0037118543,0.0035653242,0.0095699,0.023843452,0.045829076,0.069387145,0.08502855,0.08566583,0.07175227,0.050364662,0.030578598,0.018756894,0.017361177,0.025067076,0.037583794,0.048911307,0.054231692,0.052381236,0.045884892,0.03822423,0.03147664,0.025809148,0.020756481,0.015844991,0.011727269,0.01069376,0.017389644,0.035851117,0.066211574,0.10194304,0.1324373,0.14737974,0.1420614,0.11869884,0.08588884,0.054350436,0.034510955,0.033412185,0.052527253,0.08500632,0.116656065,0.13442735,0.13367678,0.12072319,0.10433904,0.09070673,0.080826245,0.07444957,0.069978364,0.06528976,0.057619344,0.046068337,0.032288387,0.019629445,0.011175189,0.008177484,0.010217589,0.01614997,0.02554854,0.037817683,0.050617773,0.0586495,0.057462573,0.0470764,0.03454275,0.02893676,0.036870934,0.055879932,0.07681066,0.087450415,0.08417039,0.07237864,0.06344618,0.061352354,0.062654115,0.059773672,0.051703602,0.041580502,0.033761602,0.027589045,0.02133088,0.013996963,0.007654088,0.0045381947,0.006358126,0.014013759,0.027219104,0.043693963,0.058558006,0.06668984,0.06513922,0.055254858,0.043010462,0.037170168,0.044823486,0.0658107,0.09135869,0.10986435,0.1147063,0.10830029,0.0974857,0.088431,0.08214074,0.07676856,0.06881093,0.05722082,0.042743087,0.028481506,0.01669907,0.008674802,0.0040526544,0.0022926591,0.0028907573,0.0052763484,0.008788756,0.012997697,0.019156517,0.029832622,0.047562227,0.0724563,0.10064324,0.12596685,0.14084335,0.14088267,0.124621935,0.09709576,0.06685168,0.04516704,0.039581526,0.050922304,0.07321299,0.09752496,0.11807587,0.13251896,0.14297639,0.15018798,0.1543156,0.15180962,0.14182927,0.12507357,0.106999315,0.09091204,0.07948598,0.071196295,0.06497113,0.05795903,0.048875585,0.03709055,0.024540817,0.01375999,0.0065580066,0.002945384,0.0018152549,0.0023331726,0.0045612287,0.009242545,0.016746227,0.026540702,0.036515057,0.04393546,0.04636198,0.04465044,0.042448495,0.044402316,0.050967086,0.058466166,0.06161238,0.058662545,0.05136979,0.042611033,0.033590287,0.024337128,0.015379921,0.0080136275,0.0033210171,0.0011736295,0.001276765,0.004004331,0.01058688,0.020460287,0.030824512,0.03735416,0.0385586,0.035822123,0.031962175,0.02774541,0.022552503,0.016235707,0.010377937,0.007711429,0.010886323,0.022036174,0.04216483,0.070327185,0.10281354,0.13274099,0.15283813,0.1579601,0.14905311,0.12996854,0.10653628,0.082300164,0.0612928,0.04655697,0.040727522,0.043437634,0.050980683,0.057984684,0.059789803,0.056068033,0.049857825,0.045921877,0.046964332,0.052581936,0.061020244,0.07181588,0.088492006,0.112919696,0.14075546,0.158778,0.15600008,0.13228391,0.09975638,0.07146705,0.0525271,0.040876053,0.03404351,0.03340732,0.040901847,0.055192668,0.07086861,0.08155579,0.08377427,0.07797361,0.06850741,0.05922194,0.052445427,0.047652256,0.04546308,0.04598329,0.04822803,0.047993537,0.0422714,0.0315714,0.02010041,0.011475551,0.0072660134,0.0077692545,0.014856726,0.031186672,0.058275234,0.092530645,0.12557763,0.14695537,0.15092015,0.13925232,0.119976014,0.10013253,0.083053716,0.06804215,0.05544378,0.046403944,0.042445425,0.043005303,0.04599327,0.04946351,0.0511305,0.050247308,0.046996396,0.045703124,0.049763117,0.059602905,0.06996145,0.07823969,0.08810922,0.106801786,0.13467541,0.16059788,0.17089714,0.15993707,0.13782486,0.120558746,0.12081621,0.1360717,0.15414423,0.16039056,0.15069091,0.12950732,0.10566131,0.083465785,0.06525793,0.05231375,0.04820703,0.054443598,0.069856636,0.08824712,0.101954184,0.10472563,0.096125275,0.08042845,0.06369246,0.049728807,0.039905746,0.03349549,0.029429773,0.026888251,0.026830262,0.031156301,0.040231362,0.05054215,0.055579975,0.05116232,0.038869046,0.025669819,0.018241378,0.018735876,0.024272656,0.030046826,0.032851737,0.03183847,0.02801034,0.022704555,0.018083109,0.016886728,0.022176823,0.033737306,0.04738201,0.055358395,0.05312683,0.041391816,0.026854748,0.015798064,0.01192912,0.015077504,0.023858815,0.036210883,0.04966879,0.06144588,0.07037893,0.07779833,0.08689797,0.098428704,0.109376736,0.11378842,0.108088024,0.09321871,0.074627735,0.058673378,0.049884707,0.048660323,0.051710382,0.05415913,0.053237244,0.04961078,0.04606289,0.04422121,0.043591734,0.042981025,0.043848876,0.050044417,0.06515241,0.08740734,0.10892439,0.11978596,0.114618145,0.09725666,0.0774067,0.064587615,0.061854362,0.06595983,0.07124557,0.07304955,0.06962902,0.060890347,0.04834186,0.03504045,0.025928698,0.026938641,0.04113323,0.06562942,0.09085178,0.105789624,0.10424624,0.08803067,0.06425669,0.040634096,0.022020884,0.010114982,0.0040894756,0.0021504273,0.0023774072,0.0038864405,0.007355211,0.0150004355,0.028901165,0.048441783,0.06960621,0.088355,0.10352888,0.11748717,0.12980181,0.136871,0.13253091,0.11681069,0.094629325,0.07453158,0.0606823,0.053272393,0.048744936,0.044505764,0.03969172,0.036440197,0.037673343,0.045346882,0.057443846,0.06863972,0.07279902,0.067762055,0.05641138,0.044362888,0.035436068,0.030044513,0.027880063,0.030305797,0.040763382,0.05985571,0.0833346,0.10223564,0.10948887,0.10371388,0.09010261,0.07546235,0.064319775,0.05785598,0.055547286,0.056966886,0.06131832,0.06710497,0.071493365,0.07190933,0.0676694,0.061143506,0.056366194,0.055711716,0.05839886,0.06141604,0.062383253,0.060260955,0.054853413,0.046529327,0.036596242,0.027721753,0.022919124,0.024119282,0.030401116,0.037485424,0.040329114,0.036724795,0.029413024,0.02301806,0.020269694,0.020123182,0.020224981,0.019039826,0.016702712,0.013561915,0.0100367265,0.0069105974,0.006493759,0.012149896,0.025813958,0.04497896,0.06164828,0.067648046,0.0607084,0.048031718,0.040175732,0.044161838,0.05818643,0.07496695,0.085976966,0.086601235,0.07669579,0.060079414,0.041533444,0.025409646,0.0143076135,0.009810965,0.011519949,0.01765987,0.024285464,0.02802492,0.026661009,0.021339849,0.014382218,0.0088061085,0.0060242093,0.0064064874,0.0088182585,0.012033172,0.015355829,0.019881586,0.026393587,0.034512833,0.040566638,0.04222266,0.03925835,0.036736444,0.038146477,0.044010725,0.04880653,0.048264023,0.04181844,0.03430474,0.03006263,0.03048187,0.03308769,0.035695437,0.03850449,0.04553454,0.060519237,0.08179137,0.09986374,0.102641016,0.08608607,0.057276975,0.029616028,0.011679956,0.0052965893,0.008398545,0.019977475,0.037988666,0.056829583,0.067680396,0.06490546,0.050025865,0.030895539,0.015080505,0.0060820025,0.0030495469,0.0042763054,0.008318911,0.014460663,0.021131067,0.027035102,0.030566743,0.03144417,0.02965241,0.026927749,0.025760634,0.029177332,0.038037483,0.04968548,0.058566123,0.05987822,0.05327176,0.043066848,0.0348866,0.032128688,0.035225153,0.043299858,0.055165306,0.0698344,0.08663875,0.10564065,0.1257206,0.14293802,0.15094687,0.14587931,0.12927559,0.107644856,0.08775645,0.074397914,0.06924998,0.07215214,0.08027076,0.0902723,0.09850969,0.10442335,0.107943974,0.11004207,0.10945057,0.10536798,0.09706209,0.08579532,0.07295819,0.060152676,0.04857719,0.040546626,0.038808677,0.04517528,0.058296483,0.074634515,0.09099474,0.105899155,0.118371285,0.12616335,0.1259976,0.11591456,0.09678512,0.072946884,0.04976019,0.03313135,0.028270975,0.040351477,0.06882513,0.10534671,0.13345753,0.14182071,0.12938015,0.107614465,0.08643707,0.070712395,0.0575213,0.044997323,0.032572675,0.022861945,0.018709205,0.0246156,0.042978298,0.07243169,0.10391849,0.12723596,0.13506286,0.1294342,0.11669593,0.104195654,0.0957304,0.092005946,0.09192637,0.09233791,0.090710096,0.0851278,0.07718301,0.06903841,0.06316293,0.059529778,0.057401378,0.055812065,0.05572917,0.058503777,0.06412672,0.069386214,0.07035744,0.06603233,0.05939727,0.05455408,0.05213638,0.04981081,0.044454306,0.03631734,0.027707927,0.021712504,0.019691968,0.02239907,0.030943202,0.04661106,0.06864054,0.09266225,0.112365365,0.12344265,0.12573136,0.12213769,0.11510641,0.10506326,0.09120201,0.07352358,0.053874094,0.03569852,0.022854023,0.018080376,0.020621134,0.026628131,0.030859903,0.03113983,0.028678054,0.027057402,0.02869136,0.03415163,0.04191443,0.04921152,0.052762985,0.050965354,0.046234634,0.044617727,0.05117472,0.06425291,0.07550296,0.076398335,0.06550341,0.048903223,0.034764946,0.028946774,0.033776402,0.049704343,0.07478331,0.105475664,0.13589887,0.1590818,0.16751534,0.15713698,0.13029024,0.09633245,0.06692542,0.049695432,0.04476355,0.04605596,0.047267545,0.045116488,0.0408905,0.03672789,0.03630777,0.041231602,0.05211827,0.06402567,0.07249508,0.07441115,0.07308311,0.07183712,0.073346265,0.076473005,0.08043615,0.082958676,0.08258558,0.07712444,0.06815294,0.058689546,0.052764755,0.050753027,0.05039394,0.048152458,0.042210534,0.03297047,0.022835871,0.014756031,0.011601161,0.013927798,0.019986225,0.02553775,0.027525218,0.02532123,0.021397604,0.017977396,0.015636252,0.013384849,0.011849661,0.014428777,0.025872925,0.046785306,0.07157605,0.08979925,0.09434966,0.084620945,0.06722512,0.049664844,0.037919667,0.033982635,0.037144706,0.044540077,0.052925725,0.05955106,0.062934585,0.06307023,0.06185055,0.061272692,0.062467188,0.064304255,0.06546715,0.06417612,0.059640706,0.051781695,0.043493684,0.038099587,0.03697985,0.037040338,0.03509831,0.031438265,0.030361092,0.03552018,0.04689619,0.060852334,0.0726869,0.07812791,0.075956225,0.06832177,0.06107374,0.058962714,0.063696705,0.07247606,0.08172088,0.08866472,0.09254486,0.09297419,0.090312,0.0856239,0.08138772,0.07903112,0.07859396,0.078396834,0.07760043,0.07552552,0.07228652,0.067968994,0.06463233,0.062796056,0.061418105,0.056117978,0.046934467,0.037974093,0.03649488,0.043841977,0.055037778,0.062475085,0.062294092,0.056556165,0.049694538,0.04570502,0.04504268,0.045784187,0.04440983,0.039188437,0.031483386,0.025765898,0.02572111,0.031280104,0.03820091,0.04175045,0.0398481,0.0336362,0.025807306,0.018960137,0.014827106,0.013929364,0.015779303,0.019758279,0.025112286,0.030329451,0.032776494,0.030354135,0.023466779,0.014918867,0.007871901,0.004021449,0.0038446567,0.008114315,0.017815253,0.033421632,0.052652713,0.071597904,0.08491295,0.08902679,0.0822467,0.06762896,0.052258153,0.046695042,0.058507144,0.08660003,0.11835551,0.1368585,0.13187174,0.107489616,0.078729294,0.06156516,0.06339272,0.07899171,0.09515607,0.099256545,0.08998228,0.07684043,0.07375101,0.086761594,0.11128438,0.1349492,0.14679682,0.14386185,0.13210359,0.12064328,0.11422971,0.11051313,0.10374246,0.08973671,0.06899931,0.045700286,0.025230138,0.01125161,0.0042453953,0.0025579722,0.0042372267,0.007945119,0.013429031,0.020934537,0.03189693,0.045662865,0.059358146,0.06833183,0.0723522,0.07558902,0.082053006,0.089505814,0.09096581,0.083006196,0.06925214,0.05841547,0.05704241,0.06740292,0.08620898,0.10592282,0.11665326,0.1115345,0.09100998,0.063725606,0.04201578,0.036876585,0.0512626,0.077877015,0.10068748,0.10561945,0.09003347,0.0658984,0.051175088,0.057049412,0.080353,0.10692567,0.12394881,0.12982416,0.13159378,0.13512267,0.13782495,0.13470884,0.12479114,0.11198323,0.09920451,0.086776756,0.07863376,0.086020656,0.12069372,0.18180096,0.24721532,0.28815416,0.28657374,0.25317785,0.21249115,0.18698691,0.1765619,0.16958128,0.15399516,0.1339187,0.12181888,0.13021274,0.15733005,0.18981475,0.21049245,0.21034552,0.19154173,0.16085267,0.12565054,0.09016668,0.05980287,0.037429124,0.024328994,0.017980825,0.01668892,0.019445898,0.02682077,0.038654756,0.05631761,0.081148185,0.11322036,0.14512567,0.16501333,0.16300206,0.14043821,0.10912884,0.08399486,0.07676434,0.09133905,0.124910235,0.16610426,0.20009296,0.21304007,0.20031977,0.16927259,0.13551728,0.11338294,0.104857475,0.10110647,0.09106449,0.074176036,0.05798683,0.05089439,0.052586477,0.057933982,0.061484773,0.062113136,0.059292424,0.052514117,0.04143437,0.02869456,0.01815338,0.012406219,0.010875105,0.011875868,0.015493744,0.024655575,0.042559523,0.068139285,0.09533357,0.11521873,0.12194557,0.11346373,0.09341707,0.068732716,0.049379323,0.041857317,0.04543923,0.05215386,0.054829944,0.054627985,0.06021576,0.07998406,0.11239881,0.14635356,0.16780697,0.17009623,0.15642627,0.1363695,0.11861989,0.10816438,0.106989264,0.116507925,0.13564964,0.158431,0.17539708,0.1800477,0.1744824,0.16479583,0.15502179,0.14310701,0.1275983,0.110693775,0.09804181,0.09134249,0.087201186,0.07935145,0.06565836,0.048979204,0.03488018,0.026843136,0.025025612,0.027274182,0.03072156,0.03302698,0.03307539,0.031447496,0.029936844,0.030185893,0.032053053,0.033394337,0.032267887,0.030244423,0.032818932,0.044421732,0.06282012,0.07855075,0.082525186,0.07302782,0.056415647,0.040738504,0.030099526,0.024202755,0.020847164,0.018559711,0.016801598,0.015934808,0.016650373,0.020143561,0.027858695,0.04021372,0.054554004,0.06504601,0.06609931,0.05775161,0.04628456,0.04089078,0.045306247,0.056219865,0.0648181,0.06626128,0.06217638,0.05910158,0.060262788,0.063043244,0.062381923,0.05649841,0.04913862,0.04460718,0.04410016,0.043919057,0.04089378,0.03465831,0.028655788,0.025998479,0.028448442,0.03554621,0.046255585,0.0587855,0.070953645,0.07990702,0.08299024,0.08065474,0.077336945,0.08167898,0.09866848,0.12672524,0.15333594,0.16498351,0.15301697,0.12359014,0.09220585,0.076596946,0.08332018,0.10526594,0.12622456,0.13402735,0.12626395,0.10925432,0.08894747,0.06867356,0.049362067,0.033043467,0.021819556,0.017566932,0.022665402,0.040217895,0.07084649,0.107762456,0.13683158,0.14473884,0.12799273,0.095925204,0.06258685,0.03894964,0.027658781,0.026612362,0.030409286,0.03496663,0.037153285,0.038028542,0.038576055,0.039447445,0.037752103,0.03209023,0.023588507,0.017735848,0.02004745,0.032207925,0.049143553,0.06106043,0.060714807,0.048833963,0.03359321,0.023118852,0.020393556,0.024311507,0.034403395,0.052716535,0.079986915,0.11123178,0.13490522,0.13985723,0.12345222,0.09486724,0.06850687,0.053524647,0.049154878,0.047576394,0.042764116,0.03498206,0.031273406,0.03903321,0.058858305,0.08178725,0.09410144,0.08862723,0.071507804,0.060750335,0.07560837,0.12141367,0.18410404,0.2343566,0.25000003,0.22686408,0.1811349,0.1314,0.0908025,0.06310909,0.048631936,0.0450287,0.048722487,0.054813266,0.058899213,0.057989027,0.05167182,0.04206389,0.0343948,0.035474908,0.050979838,0.078891344,0.109088235,0.12672879,0.12480757,0.10637053,0.08415556,0.06781893,0.060833152,0.05826184,0.054720048,0.048448812,0.043197855,0.044608716,0.053942893,0.06590139,0.07104548,0.064900555,0.05207881,0.04308866,0.04393573,0.051025767,0.05499178,0.05003808,0.038840655,0.029208126,0.027325204,0.03249073,0.039100025,0.040875364,0.03688989,0.03113844,0.028942905,0.03157116,0.03572005,0.037192807,0.034196347,0.027887518,0.020502156,0.013885113,0.009253827,0.0066899457,0.0056763464,0.0051975828,0.0047264756,0.004100881,0.0034596482,0.002938961,0.0026896503,0.002859162,0.0034641286,0.0042856205,0.004981395,0.0055051628,0.006422358,0.008757556,0.012979778,0.018383833,0.023187386,0.025817232,0.025627306,0.02298437,0.01889187,0.014552462,0.011151412,0.009242345,0.00929365,0.011564451,0.01638469,0.0222414,0.02687118,0.027994031,0.026877714,0.026040575,0.02779974,0.030785,0.03277537,0.03222502,0.030059762,0.02762042,0.025710156,0.024124479,0.022574648,0.021387259,0.021713575,0.024633842,0.029669588,0.034451947,0.03627763,0.034394305,0.03022244,0.02604266,0.023442442,0.024353305,0.030468792,0.042679008,0.056819912,0.06653932,0.06533119,0.05390868,0.037004154,0.021821043,0.011301906,0.0057868524,0.0033703288,0.0029728012,0.0037481373,0.00532247,0.007307846,0.009925689,0.0135203255,0.018990759,0.027721142,0.04173119,0.061540756,0.083732046,0.10114778,0.10657389,0.09795018,0.0792035,0.05751739,0.038417764,0.024302742,0.014866556,0.00924483,0.006377133,0.0056888573,0.006805914,0.010128592,0.015748786,0.023529725,0.032048527,0.039909836,0.045197997,0.04710695,0.045263443,0.04059981,0.03411859,0.027452692,0.022578387,0.022156969,0.027060427,0.03564937,0.043020736,0.04540043,0.04109857,0.03260835,0.022893129,0.015127896,0.010232166,0.008413532,0.008661691,0.010303059,0.012488663,0.014610839,0.015918626,0.016389163,0.017269215,0.020446898,0.02697728,0.03537894,0.042582456,0.045517858,0.04360332,0.038807444,0.03479293,0.034333926,0.037749495,0.042566646,0.045585036,0.04486996,0.040634718,0.034149308,0.027324421,0.02354913,0.02860427,0.048397813,0.083016284,0.12273502,0.15067382,0.15366882,0.13075492,0.09373637,0.057683285,0.03246471,0.019908812,0.018133124,0.02558962,0.041368417,0.06147491,0.07780708,0.08191352,0.072111815,0.054346386,0.037713602,0.027045384,0.021943972,0.0190967,0.016394665,0.0137234,0.012555569,0.014391814,0.019498222,0.026598142,0.033344775,0.037976027,0.039590146,0.03836328,0.03462754,0.029997809,0.027816674,0.03333268,0.048439663,0.068517745,0.0820426,0.080653876,0.06496934,0.044977885,0.029807253,0.022219038,0.019141888,0.017371846,0.016281724,0.016402716,0.017723337,0.019104412,0.020343201,0.022638181,0.028998727,0.04010998,0.053199958,0.061199505,0.059937716,0.050602898,0.040033866,0.033338156,0.031147202,0.030866228,0.03057459,0.030452684,0.031544626,0.036062058,0.04750204,0.067419544,0.09084714,0.105848454,0.10320369,0.084619485,0.06275188,0.04949783,0.048178118,0.052825127,0.05635487,0.054216634,0.04693872,0.036737513,0.02742816,0.021180088,0.018818116,0.01887176,0.019678794,0.019957416,0.019561851,0.01876429,0.018066553,0.01764128,0.017326409,0.016790163,0.016159503,0.016271366,0.017790759,0.020329326,0.022234537,0.022107651,0.020323696,0.019687427,0.02384544,0.034422528,0.04833694,0.05924775,0.061503965,0.055075943,0.044236843,0.034423083,0.027768724,0.02398285,0.02171532,0.020974055,0.023175607,0.03000266,0.040825903,0.05149475,0.056585062,0.053606436,0.044827536,0.034689058,0.026138091,0.020587659,0.02101917,0.033964563,0.0638549,0.105978526,0.14309573,0.15710916,0.14140488,0.10773719,0.074675396,0.05493961,0.048128504,0.046664845,0.043911207,0.03839873,0.03272351,0.029378409,0.029003019,0.029717455,0.029732035,0.028312964,0.026470952,0.025086453,0.024270112,0.023399526,0.022104949,0.02068025,0.019921483,0.021252515,0.02651385,0.036055565,0.048058275,0.058828697,0.06791333,0.077102564,0.08851328,0.09799093,0.0991865,0.08857568,0.07203713,0.060266506,0.061126113,0.0718731,0.081848085,0.081617855,0.07287212,0.065765016,0.068978675,0.07973114,0.08906847,0.09133381,0.091931164,0.09784836,0.11071893,0.12110106,0.12152176,0.10943427,0.09205786,0.0757481,0.06601878,0.063761055,0.067438744,0.072963834,0.07547423,0.07380646,0.0688921,0.064060025,0.06027035,0.059063498,0.06033358,0.06356255,0.06504709,0.06222834,0.055678874,0.05020097,0.049652044,0.053451378,0.05748184,0.057903256,0.054459512,0.04884972,0.042908877,0.037349775,0.03270759,0.029792288,0.028750313,0.02894672,0.029278174,0.029674778,0.030967414,0.03427321,0.039360348,0.04465537,0.047780797,0.04893455,0.052396942,0.06684702,0.09742588,0.14066096,0.18307239,0.2139443,0.23009633,0.23509096,0.22707911,0.20239766,0.16273148,0.121698715,0.09466664,0.087798916,0.09582309,0.10929951,0.12129003,0.12852119,0.12959677,0.12551558,0.11835382,0.11111454,0.10511047,0.10049772,0.0965819,0.09268064,0.08980784,0.08926185,0.091761656,0.09410954,0.09268946,0.08666367,0.081122726,0.082276165,0.090873726,0.09996275,0.099729784,0.08740171,0.06959731,0.05867899,0.06214701,0.07785478,0.095611304,0.10540842,0.104952924,0.09866678,0.09302706,0.08958325,0.086688615,0.08088484,0.07145065,0.059734374,0.049618706,0.043988924,0.043036725,0.043763872,0.04368804,0.043457393,0.046314094,0.053646427,0.06282089,0.06841066,0.06754617,0.06170948,0.05653374,0.05711852,0.06522218,0.07686895,0.084809445,0.08325883,0.0722766,0.057210747,0.044045806,0.035603315,0.031443525,0.03040795,0.033170898,0.042187735,0.060889643,0.089166164,0.12293571,0.1525655,0.17034476,0.17179386,0.16093518,0.14531933,0.13598458,0.13893715,0.15246166,0.16379994,0.15985255,0.13570862,0.100178085,0.06630236,0.04400776,0.03587616,0.040857177,0.05490023,0.07085778,0.079820596,0.07693345,0.06577675,0.05668278,0.05781883,0.06924724,0.082895994,0.091161706,0.0916856,0.08788014,0.0838317,0.08142561,0.08030679,0.078653894,0.07488729,0.06766536,0.05744994,0.04628977,0.038204074,0.037593488,0.047023702,0.06510997,0.08797196,0.114235125,0.14647783,0.18613546,0.22371511,0.2420712,0.22736679,0.18417615,0.130473,0.08624882,0.05914931,0.046160545,0.039841544,0.0360654,0.03454696,0.036639843,0.042950142,0.05224229,0.061507177,0.06655034,0.06436914,0.055427566,0.043621074,0.034083944,0.029808382,0.03134249,0.036192488,0.041840557,0.046573233,0.05263673,0.06223944,0.07472988,0.083460204,0.081981026,0.069919966,0.054514144,0.0446416,0.043768723,0.048978988,0.054373074,0.056594606,0.057137758,0.059586626,0.06600002,0.07328927,0.07810643,0.07915618,0.079711884,0.08099819,0.08118382,0.07597947,0.06490388,0.05116695,0.03930461,0.03101451,0.025929565,0.023103515,0.023510745,0.030456856,0.04908228,0.081251256,0.11946585,0.14804827,0.15341549,0.13699241,0.11234999,0.09432703,0.08565918,0.0815854,0.076812744,0.07405603,0.07733185,0.08677909,0.093859084,0.09039015,0.07478326,0.05512495,0.040067345,0.03320269,0.031327467,0.030466594,0.028718457,0.02708604,0.027096078,0.03037934,0.038040962,0.050591066,0.06605461,0.080112316,0.08703908,0.084102035,0.07283607,0.05890106,0.04726776,0.04019289,0.036472525,0.03478688,0.035050523,0.03870869,0.045641232,0.053199887,0.05698235,0.055083927,0.049866367,0.04809965,0.05656926,0.07904991,0.111260235,0.14520477,0.1721621,0.19086508,0.19966583,0.19636679,0.17628413,0.14542869,0.117652796,0.10745444,0.11639873,0.13426016,0.14754367,0.14711899,0.13237585,0.10755981,0.08214279,0.06475531,0.061822712,0.070571005,0.08229586,0.0871034,0.084659524,0.082864605,0.09148675,0.10976434,0.12787296,0.13277623,0.120923676,0.09809354,0.07587884,0.061641145,0.056026522,0.05431917,0.05168605,0.04674028,0.041667625,0.040308636,0.045658763,0.05677818,0.06930057,0.07598499,0.07415996,0.066148706,0.06026146,0.06025021,0.0646068,0.06538848,0.059121847,0.047167096,0.03589936,0.028954918,0.02737934,0.03236333,0.048690777,0.083878614,0.13824557,0.20069651,0.24931972,0.26839903,0.25806287,0.23440091,0.21318637,0.19818144,0.18251763,0.16010961,0.13352275,0.110765904,0.09567768,0.085808754,0.07573134,0.06673678,0.06404727,0.07213643,0.085424215,0.09420407,0.092078544,0.0842307,0.07940459,0.081625946,0.08408073,0.07868143,0.06339868,0.045778725,0.034469534,0.03250447,0.038960215,0.053643033,0.08324836,0.12673478,0.1737587,0.20068218,0.19803734,0.17099036,0.14073607,0.11935079,0.10958991,0.10439774,0.10050169,0.09893137,0.103872955,0.116051495,0.1298681,0.13774525,0.13337782,0.11822582,0.097442,0.0786396,0.065792374,0.060851436,0.06634307,0.08433289,0.11209148,0.13727906,0.1466786,0.13618766,0.115024686,0.09715984,0.09120497,0.09817412,0.111990936,0.12420539,0.12633643,0.11762779,0.10399058,0.094190605,0.08928185,0.084828176,0.07587772,0.06674307,0.06668458,0.08234597,0.10732474,0.12621234,0.12554143,0.10620809,0.08068316,0.06277614,0.056724276,0.059065998,0.06310966,0.06470788,0.061816033,0.05594931,0.049513306,0.047724485,0.054975662,0.07817911,0.113644816,0.14987217,0.16373767,0.14756832,0.10772446,0.06711458,0.039653964,0.030747754,0.03560477,0.04846343,0.062334005,0.07082024,0.071400285,0.066077575,0.05934583,0.05337994,0.047930103,0.043552157,0.04380794,0.053581398,0.07266418,0.09433257,0.10744377,0.10628647,0.093523614,0.08042244,0.07633492,0.083815835,0.095353104,0.101064146,0.09458923,0.07810238,0.059938073,0.04992601,0.054201107,0.071019135,0.0918693,0.10637495,0.11117659,0.11105886,0.11245287,0.11513716,0.11345299,0.1062003,0.09949396,0.10104682,0.10911834,0.11589765,0.114488035,0.10672561,0.09634782,0.08601969,0.075067,0.06672663,0.06545513,0.07508556,0.09205886,0.11044452,0.12309337,0.1283073,0.12663884,0.12311753,0.120502956,0.11950317,0.11643585,0.109201826,0.09782174,0.08438178,0.070052184,0.05648096,0.04552265,0.038894277,0.035384435,0.034165755,0.034940723,0.039761636,0.046564166,0.051759105,0.049799424,0.04140691,0.029660704,0.021186436,0.019263305,0.026864747,0.041055586,0.056401435,0.06389672,0.062219426,0.056507125,0.05644363,0.06343082,0.07126951,0.0717796,0.065494634,0.0620615,0.070642926,0.09095778,0.11107,0.121284634,0.12174053,0.12562561,0.14142281,0.16603045,0.18177168,0.17506294,0.14487883,0.105831705,0.07671226,0.07186548,0.09607861,0.13822122,0.17659836,0.18713033,0.16743256,0.1325231,0.10590696,0.09368396,0.091498345,0.09001005,0.0885565,0.08767202,0.08866579,0.090185195,0.09203184,0.09392818,0.09705909,0.10373504,0.11402426,0.12336854,0.12305633,0.112184495,0.09965699,0.10180747,0.12279003,0.1534106,0.17397712,0.17649879,0.16492075,0.15310495,0.14713049,0.1469026,0.14684464,0.14452837,0.13790905,0.1276663,0.11666628,0.110603414,0.111305915,0.11477107,0.11572573,0.116764605,0.12558025,0.14490585,0.16504818,0.1729914,0.16401021,0.14403573,0.12189614,0.10428616,0.09987867,0.11794094,0.1595387,0.20799603,0.23757131,0.23440547,0.20747228,0.18036883,0.16818301,0.16887186,0.16782962,0.15594369,0.13675067,0.12259511,0.12097553,0.12732613,0.13029732,0.123424046,0.11084054,0.10144303,0.09968612,0.10230284,0.10422024,0.10486864,0.110040724,0.12423015,0.14531703,0.16358697,0.17097814,0.16702427,0.15741831,0.14885223,0.14169247,0.1368785,0.1322359,0.13196377,0.13286318,0.13528113,0.132841,0.13147233,0.1332636,0.14453591,0.15512718,0.1580783,0.14507024,0.123118676,0.09849578,0.07871536,0.06544753,0.059598405,0.059850793,0.06292682,0.06839127,0.08036172,0.10256765,0.12951179,0.14549093,0.1395861,0.11497241,0.08909119,0.07600094,0.07763658,0.083578885,0.08297428,0.072219156,0.055883184,0.042479996,0.038669888,0.04691073,0.06279717,0.0782572,0.08478528,0.08026347,0.068394184,0.05735442,0.0537501,0.06053847,0.07380436,0.085447885,0.087386824,0.079575434,0.06949562,0.06775184,0.076974474,0.09102259,0.09788228,0.09155991,0.074540064,0.05646235,0.044505615,0.040516824,0.041769747,0.046220895,0.053345162,0.06338241,0.07500591,0.08729535,0.09969356,0.11273863,0.12384679,0.12848246,0.122130595,0.10668955,0.0899918,0.08224919,0.08750013,0.10118704,0.112300135,0.11265699,0.101580955,0.08529962,0.070218004,0.060196955,0.056885853,0.061650187,0.073044054,0.08689136,0.09773026,0.10535074,0.11300654,0.12471799,0.13708602,0.14334379,0.1365915,0.11960289,0.101484515,0.095305,0.10605756,0.12848721,0.14695759,0.14769912,0.12697004,0.093704574,0.06186304,0.041689664,0.035419617,0.03827579,0.04272425,0.04314968,0.03851227,0.034317233,0.04134786,0.07222711,0.1313019,0.20711775,0.2753889,0.31389213,0.31612477,0.28886378,0.24403459,0.1924303,0.14812547,0.12607555,0.13176875,0.15401821,0.17063402,0.17008857,0.15835874,0.15246718,0.15944964,0.17066018,0.17118067,0.15379637,0.12712024,0.106442,0.10494644,0.12170062,0.14547889,0.16082837,0.16020298,0.14689021,0.13359903,0.13481389,0.15600322,0.18873723,0.21237594,0.21109968,0.18314539,0.14429672,0.11446798,0.10618898,0.11825349,0.13861535,0.15666325,0.16855265,0.17831385,0.18779685,0.19455867,0.19539535,0.19165267,0.18812455,0.18450318,0.17587662,0.15764605,0.13515608,0.11832214,0.11459326,0.12236104,0.1365981,0.1530388,0.1694551,0.18272847,0.1879348,0.18132652,0.16348659,0.14121382,0.12247563,0.11086739,0.103085764,0.09432048,0.08407354,0.078840606,0.08820278,0.12047578,0.16998135,0.21843366,0.2369457,0.2156666,0.16581365,0.120758116,0.10235434,0.11214856,0.13027494,0.13723291,0.12967911,0.1158801,0.10589894,0.0981433,0.090099186,0.08208487,0.07900122,0.07969826,0.07883957,0.075121805,0.0774031,0.09564117,0.13104044,0.17087281,0.20044516,0.20828027,0.19512503,0.16795397,0.14031747,0.12010553,0.10815988,0.097239144,0.0854445,0.07858723,0.08560533,0.10455898,0.12176404,0.122139685,0.10261027,0.074388854,0.053866874,0.051359415,0.064773746,0.08267581,0.09290323,0.092165925,0.08612404,0.082518406,0.082539134,0.08155417,0.07578352,0.067733064,0.0650548,0.07333786,0.09050038,0.106885366,0.11220178,0.10349628,0.08596989,0.068068735,0.055543352,0.05057167,0.053448007,0.06196409,0.07163156,0.07658289,0.07468707,0.067318745,0.057940934,0.048541605,0.041783374,0.04152439,0.050947394,0.067568846,0.083131455,0.09005531,0.087952055,0.083968006,0.084352314,0.08890808,0.09041811,0.08339095,0.0677958,0.050537508,0.038971353,0.037269335,0.04348061,0.0511792,0.054237995,0.050443634,0.044287633,0.04253764,0.05072075,0.06713361,0.0845793,0.094993226,0.09748069,0.099591054,0.10816565,0.122140504,0.12974924,0.12272232,0.100431345,0.073110156,0.04974326,0.037026986,0.036340218,0.046548445,0.06186383,0.0737654,0.075580485,0.06684117,0.052767098,0.039422218,0.030993832,0.030377457,0.040186476,0.060069144,0.08328023,0.09861535,0.09863508,0.086955555,0.07578649,0.07497723,0.084228955,0.09577469,0.10411497,0.1089023,0.110793404,0.10729724,0.09675231,0.08355873,0.07475981,0.07291926,0.072473735,0.06861677,0.06321863,0.06520394,0.078573346,0.09762758,0.109463364,0.10767219,0.09680847,0.08652476,0.08002946,0.07228885,0.05961023,0.04537697,0.037223667,0.036998842,0.0394319,0.037855364,0.030978808,0.023005627,0.018181195,0.01738179,0.018147068,0.01832932,0.017730922,0.01781821,0.019617083,0.022857806,0.026366428,0.029628074,0.03428656,0.043893486,0.061694175,0.086009346,0.11147522,0.13090341,0.14311548,0.14874892,0.15198953,0.15341468,0.1561806,0.1614405,0.17188792,0.1873769,0.20581424,0.22214282,0.2289129,0.22278011,0.20475733,0.18297978,0.1636474,0.15140133,0.1445259,0.14066403,0.13718826,0.13578255,0.13897415,0.14608699,0.15017556,0.14394765,0.12807839,0.11425144,0.115407206,0.13458149,0.15913062,0.17078237,0.15834054,0.12693132,0.09252006,0.06953558,0.062484164,0.06595953,0.0740572,0.08145064,0.08602378,0.08470128,0.080254756,0.077031694,0.080332644,0.08880735,0.10064385,0.11375638,0.12623616,0.13179672,0.12560396,0.11210694,0.103283435,0.107739575,0.121249616,0.13306157,0.13654505,0.13376097,0.13118653,0.13333231,0.14377545,0.16441274,0.19340576,0.21885677,0.22322308,0.19614448,0.14654274,0.097043455,0.068202294,0.06519823,0.08078142,0.10212267,0.118893445,0.12493404,0.12196221,0.1165967,0.11781149,0.12909922,0.14945777,0.17040692,0.18294555,0.179886,0.16639419,0.15499514,0.15634769,0.16585697,0.16871758,0.15516047,0.13132067,0.113582395,0.11231806,0.12562351,0.14117222,0.15084375,0.15034096,0.1450183,0.13669705,0.13168643,0.12954336,0.13373439,0.1396342,0.14547247,0.14474447,0.13667029,0.12041893,0.10223636,0.089978255,0.09118325,0.103759386,0.116289474,0.11596135,0.10042771,0.080622934,0.07219558,0.081199355,0.10106429,0.11886084,0.13074166,0.14008094,0.15114565,0.15750639,0.15298027,0.13991967,0.13217634,0.13738896,0.14903407,0.1517731,0.1411524,0.1302991,0.14015503,0.17909074,0.23283601,0.27249643,0.2747683,0.23827524,0.18392052,0.13951291,0.12239268,0.1309632,0.15010746,0.16378723,0.16427274,0.15632837,0.14867721,0.14875238,0.15377896,0.15725814,0.15214626,0.14007223,0.12816119,0.124827735,0.13396592,0.15363182,0.17905925,0.20039521,0.20783772,0.19479811,0.16962777,0.14719063,0.1405214,0.14583641,0.1523996,0.14987145,0.13868771,0.12298275,0.10802272,0.096503384,0.090964355,0.09132698,0.09659637,0.10549694,0.1219903,0.14685361,0.17562465,0.19418372,0.19560349,0.18223284,0.16688512,0.1592742,0.16354571,0.17711593,0.19112317,0.19525369,0.1818303,0.15546052,0.12880294,0.11814052,0.12985116,0.15743552,0.18176003,0.18550108,0.16455239,0.13390239,0.114983745,0.120928325,0.14523478,0.16978937,0.17708713,0.16444673,0.14163183,0.123748064,0.11768491,0.120400436,0.122960575,0.12097109,0.118070394,0.12095978,0.13195632,0.14407654,0.14744586,0.13562317,0.11195695,0.085558556,0.06707621,0.063475005,0.07802936,0.107830405,0.1451624,0.1779213,0.19903858,0.20735846,0.20893668,0.20697783,0.20231831,0.19256409,0.17852777,0.16266496,0.14877953,0.1386192,0.13143192,0.12377102,0.111483775,0.0930837,0.07279839,0.059387337,0.06275356,0.083566494,0.113388866,0.1332587,0.13293071,0.11174319,0.08577519,0.06686065,0.061491266,0.064220734,0.072302796,0.08469182,0.10067739,0.11342427,0.116900675,0.11545474,0.12273464,0.14683916,0.1774441,0.19232245,0.17812085,0.1438701,0.1136932,0.104763925,0.114118755,0.12388524,0.12096351,0.10839951,0.10199487,0.11353632,0.13970578,0.16350988,0.16792609,0.14950345,0.11984547,0.09675545,0.090118356,0.0973174,0.107238226,0.11158683,0.11120502,0.113830976,0.12403089,0.13738738,0.14311458,0.13482396,0.11525959,0.09458081,0.082152255,0.080800585,0.08613589,0.08871838,0.08249763,0.068456545,0.05765627,0.06169683,0.08425135,0.11454179,0.13463365,0.1326112,0.11075445,0.08258129,0.062435165,0.059122156,0.074585706,0.10186281,0.12767345,0.13570444,0.12128577,0.09190392,0.06535384,0.052422553,0.054113086,0.061049014,0.065247454,0.06357694,0.058676343,0.053272475,0.04899177,0.046987545,0.04986493,0.058836687,0.07161864,0.0821411,0.086366296,0.08506626,0.08402991,0.08802665,0.09783778,0.10960591,0.11871957,0.122551255,0.12132857,0.118654124,0.121637665,0.14190057,0.18734415,0.25539637,0.3264558,0.3780801,0.3943584,0.3768729,0.3338805,0.27968344,0.22725981,0.19157763,0.17767423,0.17997263,0.18198198,0.17535345,0.16466755,0.16688313,0.18648846,0.21103872,0.21449779,0.18964519,0.15103333,0.12642945,0.12441953,0.13397954,0.13942854,0.14069085,0.14881371,0.16648991,0.18275017,0.18303405,0.16872704,0.15121382,0.14137137,0.1364616,0.13362776,0.13418363,0.14502244,0.16287638,0.17524941,0.16877423,0.1430798,0.11258367,0.09654758,0.10573981,0.13254006,0.15604503,0.15766557,0.1368961,0.111221164,0.100061394,0.11017257,0.13461174,0.16291003,0.18910396,0.20969458,0.22312869,0.22647531,0.2210962,0.20895346,0.19661526,0.18979694,0.19253649,0.20209837,0.21105032,0.21295382,0.20566726,0.19102895,0.1710757,0.14720593,0.12296382,0.10229655,0.08972811,0.085063875,0.08813592,0.0950209,0.102166295,0.10336166,0.10022976,0.09896212,0.10919315,0.12993652,0.1529053,0.16571648,0.16371194,0.15083963,0.137393,0.13339137,0.14199418,0.15991467,0.17917705,0.19371139,0.20015872,0.19806252,0.18900432,0.17621247,0.1663831,0.1634266,0.16875117,0.1758504,0.18104391,0.18107027,0.17998616,0.17813675,0.17588837,0.16727023,0.15057129,0.12688665,0.10735958,0.10038673,0.109344184,0.12274697,0.12884705,0.12093651,0.10781645,0.10203326,0.11000884,0.12505153,0.13493417,0.13664812,0.13700671,0.14335747,0.15063585,0.14713968,0.12997554,0.11006235,0.10212346,0.10805083,0.118186295,0.12279194,0.12139871,0.11941308,0.11976985,0.122919716,0.129251,0.13905646,0.14832054,0.14939679,0.13932343,0.123500876,0.11358121,0.11744223,0.13623743,0.16314411,0.18828227,0.20192991,0.2006064,0.18852483,0.17341322,0.16045356,0.14930053,0.14019834,0.1351702,0.13769858,0.14617978,0.1561085,0.16264291,0.16401677,0.15936919,0.14733227,0.1269006,0.10098549,0.07698996,0.06409496,0.06461636,0.072838716,0.07697693,0.07226877,0.06082232,0.050288286,0.0430567,0.039448887,0.039211437,0.043087367,0.049148064,0.05321419,0.056570083,0.06678605,0.09072143,0.12269702,0.14563014,0.14521739,0.12205479,0.09251875,0.07451257,0.07629014,0.09093767,0.10443077,0.10507962,0.09284396,0.07693372,0.068549186,0.07132447,0.08183094,0.09430307,0.1068509,0.119202584,0.13166445,0.14262235,0.15096782,0.15304215,0.14388035,0.12115278,0.090955384,0.06668954,0.05812678,0.06417486,0.07311407,0.07384053,0.063619636,0.048490036,0.036771603,0.03266223,0.03603338,0.043867946,0.05316775,0.06070979,0.06418071,0.064690076,0.06790959,0.0824112,0.1092728,0.13953333,0.15586054,0.14962779,0.124392904,0.09510743,0.07276006,0.06164929,0.059136007,0.062586255,0.06960419,0.07754367,0.08276435,0.08279499,0.078265786,0.07199364,0.06649329,0.061990548,0.057571497,0.05301833,0.05016016,0.05132258,0.05709356,0.065622106,0.074662425,0.08342839,0.091246195,0.095519215,0.09219348,0.08000288,0.06332255,0.051427856,0.053380314,0.07083567,0.096417636,0.11757084,0.12899454,0.13345423,0.13913228,0.14731081,0.15558417,0.15838641,0.1550194,0.14608718,0.13640378,0.12839425,0.1221469,0.112542816,0.09723583,0.078730956,0.06317648,0.054435726,0.051622603,0.052745912,0.054899976,0.058244836,0.064391196,0.08019685,0.10910908,0.1457725,0.17361052,0.17991836,0.1703846,0.1633132,0.17259012,0.19051953,0.20361078,0.20251454,0.19162165,0.17231743,0.14461502,0.10804384,0.07038523,0.040502474,0.023275128,0.017338857,0.018853888,0.023790814,0.028774371,0.031908397,0.033649657,0.035269354,0.03750449,0.039698478,0.042094756,0.045591842,0.051513597,0.06029108,0.071766436,0.08562913,0.09959376,0.11315545,0.12671736,0.14544411,0.16718476,0.18519437,0.1861455,0.16898696,0.14011244,0.11288818,0.091830365,0.078533106,0.070773005,0.068202525,0.067021176,0.063893296,0.056720212,0.04782012,0.040098753,0.03572375,0.034487665,0.034983497,0.035117526,0.03396756,0.032235753,0.031978812,0.03434943,0.03864316,0.04262994,0.04393654,0.04194227,0.037468914,0.033789024,0.03467937,0.044764604,0.064730786,0.09031571,0.11067226,0.11620774,0.10380129,0.0807901,0.0580312,0.043517053,0.03797853,0.038151797,0.040643055,0.0439102,0.047413964,0.05041639,0.05181012,0.05070703,0.047600996,0.04518972,0.04689617,0.053088557,0.059627082,0.060360443,0.053715777,0.04306067,0.03446403,0.03027709,0.029820262,0.030464208,0.031075573,0.031625524,0.03221732,0.032393992,0.0313178,0.030155674,0.031739403,0.039207786,0.05147745,0.06400414,0.07171065,0.074965216,0.076856054,0.07966879,0.080114655,0.075508565,0.06716344,0.0626523,0.06752319,0.08241684,0.10056263,0.11553196,0.12289766,0.124450006,0.122628905,0.12045187,0.11803323,0.115093835,0.110053055,0.1036442,0.09948623,0.10406143,0.1188839,0.13872373,0.15440498,0.16177355,0.16173808,0.15628713,0.1465447,0.13461353,0.12439809,0.11651354,0.10813107,0.09657819,0.08461473,0.076715775,0.075071126,0.076925516,0.080012985,0.084340215,0.09421941,0.11428841,0.14582896,0.18140028,0.20612937,0.20693873,0.18342458,0.14949109,0.12239125,0.11132047,0.111964166,0.11426818,0.10932533,0.09878445,0.09043842,0.09301868,0.10624316,0.12297211,0.13517986,0.14110681,0.14568919,0.15666358,0.17727996,0.20290892,0.22103171,0.22209896,0.20492415,0.17953171,0.15696995,0.14341186,0.13671362,0.13047133,0.11966318,0.10281321,0.08339453,0.065873645,0.05438584,0.050295193,0.05299152,0.06123346,0.0726459,0.0844863,0.09289386,0.09608892,0.09430107,0.08968664,0.084179275,0.07911251,0.07509323,0.07141037,0.06665871,0.06011322,0.053799886,0.05056921,0.051351894,0.05348781,0.054502904,0.05556081,0.060450587,0.0704019,0.082478695,0.093690276,0.10627377,0.1241346,0.14970388,0.17974687,0.210692,0.23636799,0.25072291,0.24903204,0.23504423,0.22021604,0.21655144,0.22821538,0.24963216,0.27096865,0.28462544,0.2893466,0.28640604,0.2753344,0.25132173,0.21314068,0.168773,0.13149236,0.10997125,0.101082824,0.10029168,0.10414424,0.11296582,0.12110015,0.12504895,0.12693338,0.13491935,0.15184776,0.17083625,0.18543439,0.19255674,0.19463365,0.18724476,0.17037906,0.1461676,0.12736331,0.11870847,0.12304121,0.13249612,0.14500295,0.15658736,0.17655452,0.21336794,0.27382436,0.34095883,0.38825276,0.39427313,0.3646002,0.31834903,0.2700241,0.2200618,0.16920878,0.12841298,0.11315114,0.12509112,0.1481383,0.15882522,0.14698471,0.121455364,0.10369257,0.11029422,0.14332086,0.1916819,0.24000722,0.27995244,0.307246,0.32146478,0.31742242,0.2970182,0.26742345,0.24467339,0.23721343,0.24373503,0.25226954,0.25266102,0.24301106,0.22956163,0.21918865,0.21194309,0.20362769,0.189928,0.17150773,0.15067357,0.12970741,0.11023861,0.093883336,0.08395681,0.080950625,0.08320421,0.0848229,0.08498293,0.089086495,0.10711356,0.13918084,0.1715075,0.18347621,0.16670966,0.13267021,0.104529284,0.09867752,0.11406585,0.13807456,0.15788205,0.17062585,0.17953782,0.1914456,0.20994444,0.23641185,0.26783594,0.29995844,0.32620004,0.3373618,0.32374632,0.28396106,0.23043649,0.18267775,0.1527962,0.13945241,0.13367099,0.12907144,0.12353624,0.11722645,0.108962744,0.09878373,0.08794939,0.07921951,0.07287431,0.06931954,0.070754655,0.08487052,0.11303165,0.1466688,0.16384907,0.15263219,0.11585238,0.074617885,0.045467425,0.036586147,0.04391821,0.060937643,0.079170294,0.09211302,0.09609469,0.09329981,0.088965416,0.087200105,0.08723081,0.08727255,0.09099156,0.10908494,0.14852493,0.20458989,0.25829938,0.29327908,0.30045256,0.2875537,0.26564497,0.2514265,0.25307944,0.2753167,0.30788645,0.33431304,0.33226243,0.29428285,0.23021197,0.1656075,0.12013349,0.09887714,0.09215623,0.08859182,0.08199419,0.07331813,0.06531186,0.059715927,0.057080075,0.059433937,0.07120168,0.094865896,0.13080971,0.17590302,0.22762309,0.27543756,0.30239442,0.2896549,0.23683472,0.16343257,0.098923534,0.062023565,0.05596455,0.07185998,0.097274415,0.11988866,0.13214843,0.13111342,0.118747115,0.09754578,0.07266171,0.04914618,0.03242084,0.023360183,0.020930134,0.0242477,0.035606522,0.05874903,0.09152732,0.12578265,0.14959687,0.16208033,0.16970861,0.17982174,0.18782079,0.18719053,0.18191141,0.18421936,0.199287,0.21166307,0.20197235,0.16347423,0.11196211,0.06901371,0.048175737,0.048547607,0.06073733,0.075346835,0.08614019,0.09137493,0.0903663,0.08435727,0.07596212,0.068885885,0.064584345,0.060977053,0.056805428,0.05493215,0.062460173,0.08064663,0.10394444,0.12198085,0.13308096,0.13882948,0.14143,0.13488618,0.118486725,0.09866177,0.09008172,0.10017177,0.1264038,0.15545325,0.17367555,0.17341061,0.1586722,0.14029373,0.12836932,0.1265464,0.1337743,0.14696284,0.160917,0.16798317,0.16287641,0.14859389,0.1351907,0.13316429,0.14357652,0.16312976,0.18435991,0.2070268,0.22835481,0.24777667,0.2586762,0.25855872,0.24636735,0.22475488,0.1965249,0.16696756,0.14658459,0.1444674,0.16007785,0.17781536,0.18198435,0.17025627,0.15911071,0.1641982,0.18697025,0.21032326,0.218104,0.20580323,0.18521242,0.17130023,0.17082143,0.17677383,0.17499997,0.16115339,0.14603053,0.1479082,0.1713503,0.20256494,0.21928187,0.21084078,0.18261562,0.15187114,0.13087632,0.12348648,0.12274146,0.124599256,0.12735415,0.1330465,0.13879932,0.14239651,0.14271827,0.14248468,0.14254701,0.14412135,0.14745165,0.15269971,0.15650374,0.15500194,0.1457177,0.12863177,0.106481075,0.08555624,0.07555885,0.081706956,0.10016022,0.120458044,0.1366632,0.1505397,0.16467431,0.17527978,0.17602451,0.16829526,0.16222566,0.16626228,0.1790955,0.1912337,0.19672276,0.19540398,0.19041006,0.18034226,0.16130312,0.13407387,0.10702389,0.09291685,0.09740948,0.11695075,0.13948607,0.1522566,0.14696,0.12329284,0.09038814,0.060013562,0.041334618,0.033930313,0.033052668,0.0336633,0.035971712,0.042315956,0.054196913,0.06996659,0.08567729,0.09829131,0.10755235,0.1179649,0.1337561,0.15534063,0.17630352,0.19136989,0.19951504,0.20534527,0.21258806,0.2253654,0.24787474,0.27979496,0.31214964,0.32772893,0.3190439,0.2898747,0.25765803,0.23223783,0.21949811,0.2141854,0.21562237,0.21822393,0.21846569,0.20727275,0.18430746,0.15732162,0.13830064,0.13035156,0.1242918,0.113326766,0.10015675,0.098045886,0.116184436,0.15496099,0.2051574,0.25200865,0.28177118,0.28790104,0.27522054,0.25346756,0.2296284,0.20484047,0.17862956,0.15195467,0.12727313,0.10675192,0.09151276,0.08200472,0.077354506,0.0781878,0.08409702,0.09486707,0.106421985,0.11555272,0.119905494,0.120545805,0.11942658,0.118225075,0.11811983,0.12037098,0.12834549,0.14425384,0.16434436,0.17666791,0.16839187,0.13807225,0.09787331,0.06668626,0.05612075,0.06669126,0.08891978,0.112047695,0.12963195,0.14267404,0.1531817,0.1590309,0.15240599,0.13119951,0.103472896,0.08618421,0.08819499,0.1061275,0.1268091,0.14796439,0.18004762,0.23638368,0.30614626,0.35569504,0.3529047,0.29959717,0.23191057,0.19134666,0.19902396,0.24112965,0.28630337,0.29665375,0.2616364,0.19422947,0.1285702,0.0861074,0.0746356,0.088449486,0.11921775,0.15525551,0.18311137,0.19911905,0.21064879,0.23349667,0.27106357,0.31416368,0.3427169,0.34424976,0.31784225,0.27318057,0.22363757,0.17708437,0.13981852,0.114155,0.10732618,0.1211587,0.1535002,0.19176136,0.22687499,0.25062844,0.2596531,0.24579503,0.21156092,0.17223407,0.15631245,0.17516513,0.21474755,0.2421391,0.24119037,0.21950167,0.20067978,0.1956978,0.20310861,0.21084726,0.21366501,0.20877443,0.20402479,0.2057148,0.21801488,0.2317544,0.23629408,0.23032175,0.22216068,0.22020274,0.21770574,0.21024697,0.19923067,0.20206259,0.22226124,0.25198543,0.26875952,0.2652426,0.2452843,0.22174637,0.19824688,0.17063576,0.13494052,0.093842536,0.05702351,0.03131962,0.018309275,0.013753384,0.013002406,0.012828849,0.012059018,0.010972516,0.010348942,0.010828436,0.012112044,0.013610025,0.014791277,0.01576293,0.016659724,0.01763372,0.02025252,0.029411087,0.053171325,0.09531745,0.14788373,0.19148065,0.20852335,0.19798903,0.17447944,0.15696885,0.1512735,0.15279563,0.1525151,0.15277594,0.1600669,0.17845128,0.19700663,0.20330875,0.19424532,0.18301828,0.18295622,0.19443922,0.20457198,0.19898397,0.1761638,0.14595722,0.12711875,0.13063961,0.15740119,0.19048922,0.21181269,0.20770983,0.18273436,0.14875339,0.12022815,0.10298753,0.09876291,0.1065897,0.124310516,0.14512938,0.15873836,0.1584398,0.14770953,0.13908756,0.14240026,0.15482698,0.1622596,0.15559985,0.14113718,0.13392079,0.14146702,0.15678655,0.17235512,0.18347985,0.19095738,0.18785872,0.17521648,0.1598686,0.15783542,0.17038305,0.1895234,0.20210828,0.20603694,0.20320219,0.1956315,0.18272994,0.16516669,0.14670086,0.12851633,0.11148203,0.096306406,0.09152355,0.104799606,0.13688777,0.17337658,0.19481806,0.18881601,0.15770195,0.11518243,0.07752528,0.058885973,0.06611181,0.09450042,0.12718894,0.14451198,0.14026727,0.12551372,0.11623051,0.11546055,0.111784376,0.09481853,0.06682073,0.04031341,0.024436556,0.019257313,0.019047728,0.019406537,0.019667318,0.020562902,0.021812657,0.02227503,0.021797359,0.022417374,0.02566658,0.03074473,0.03371497,0.03194032,0.025799515,0.01906147,0.014961253,0.01665344,0.027305698,0.05122711,0.08671051,0.12522292,0.15293683,0.16328226,0.15698361,0.13995953,0.116590135,0.092701435,0.076927274,0.07464547,0.08279521,0.089486636,0.08788344,0.0814042,0.081927724,0.09444138,0.1118271,0.12010303,0.11281412,0.096608944,0.08393032,0.08165184,0.08645639,0.09107414,0.091884434,0.09132571,0.09415222,0.10075744,0.10647664,0.10534019,0.09847992,0.09420323,0.10041837,0.11502302,0.1270072,0.12730107,0.117852874,0.10691766,0.099891275,0.09284661,0.08169195,0.067633145,0.05984233,0.064984225,0.08128183,0.09796471,0.103722215,0.095411696,0.07830786,0.06042644,0.04574612,0.0355558,0.03198406,0.03928339,0.057617337,0.0801734,0.0949361,0.0967306,0.09006681,0.086708486,0.09201517,0.103715956,0.11502599,0.123616256,0.12978625,0.13364784,0.13267426,0.12536319,0.112448476,0.09759269,0.0855034,0.08089725,0.085502714,0.096723765,0.10966959,0.11939731,0.12193921,0.11449143,0.09926966,0.08609644,0.08632576,0.10174649,0.120395266,0.127471,0.119367816,0.10494343,0.093952715,0.087474644,0.08073127,0.07169357,0.06315856,0.058992162,0.060112834,0.06499673,0.07166493,0.07776827,0.08178394,0.08178842,0.077822916,0.07181469,0.06978377,0.07659411,0.09147432,0.10548672,0.11030885,0.10505536,0.09723223,0.09256849,0.090095274,0.084233314,0.07396635,0.06434729,0.06159364,0.06500734,0.06801485,0.06355054,0.051667992,0.03878705,0.03465013,0.045010727,0.06761726,0.091624856,0.10512113,0.10434887,0.096417524,0.09157353,0.09525416,0.10596705,0.118997745,0.12844504,0.12813297,0.11651796,0.09701249,0.07800917,0.06386525,0.05707599,0.05561476,0.05818783,0.059871364,0.05822638,0.051769283,0.04413407,0.037508678,0.033628326,0.030894602,0.029099049,0.029153416,0.034294236,0.044784024,0.05682533,0.062785685,0.059441794,0.049369782,0.04095873,0.03941482,0.04676743,0.0595056,0.074835,0.087627,0.09442156,0.090714954,0.076952524,0.05640592,0.03588498,0.020248309,0.011885184,0.010454451,0.014123845,0.019917108,0.023770628,0.023290442,0.018880099,0.014363453,0.013929591,0.02071424,0.034687266,0.052105054,0.06576113,0.06870925,0.059143987,0.041810226,0.024469132,0.01262663,0.008183959,0.011378932,0.02228731,0.04003887,0.061483454,0.08246666,0.097936414,0.10359362,0.0955696,0.07618133,0.0528665,0.036559135,0.03131329,0.03381137,0.03542937,0.03135591,0.02218485,0.012491052,0.0061957645,0.005333733,0.01072279,0.021286428,0.03352886,0.041200716,0.040260535,0.031159384,0.019260589,0.009512362,0.0040546977,0.0018044687,0.0010913458,0.000931601,0.0012485227,0.0023606436,0.0042486084,0.0063740476,0.0076405816,0.007400013,0.005960628,0.0049386346,0.0063358434,0.011247181,0.01848443,0.024728077,0.026608279,0.023196707,0.01661351,0.0102732405,0.006648526,0.0063877976,0.008417904,0.01081464,0.011588555,0.010470013,0.008992173,0.009979154,0.014243516,0.020097837,0.023509258,0.022271777,0.016831527,0.010409445,0.0054773656,0.0029463496,0.0019868298,0.0019596822,0.002840427,0.0053654495,0.009722547,0.015423599,0.02101259,0.025202133,0.02678153,0.025145685,0.020481996,0.0141707985,0.008298424,0.00426885,0.002299139,0.0016225107,0.001506759,0.0015321999,0.0015700059,0.0015732693,0.0015257499,0.0014409833,0.0014646809,0.0018866668,0.0031429313,0.00517407,0.0073486064,0.00843268,0.00787661,0.0059529394,0.004107837,0.003971038,0.007318925,0.015510503,0.028863749,0.04627541,0.06342402,0.07465177,0.07382371,0.06087172,0.040606137,0.021854386,0.009464933,0.004084631,0.0026122471,0.0026209604,0.0029229468,0.0033313858,0.0037499468,0.0039562215,0.003999132,0.00414045,0.004895205,0.006307222,0.008072887,0.009690558,0.0113974735,0.013997604,0.018032439,0.023691872,0.030562848,0.039586883,0.05031045,0.061856896,0.07111902,0.07866957,0.087891765,0.10162447,0.11555752,0.12082231,0.11828164,0.12366971,0.15538324,0.20843887,0.2511175,0.2494228,0.19858707,0.12506777,0.062654406,0.027202914,0.01514319,0.014456827,0.016369335,0.018159708,0.022311969,0.033815682,0.052659173,0.0720686,0.07984223,0.0714172,0.05168195,0.032877374,0.021863766,0.018483989,0.01773955,0.016383048,0.014201849,0.012332904,0.011712688,0.012088592,0.012987579,0.0136581445,0.013827734,0.014917943,0.020546347,0.03616355,0.060941044,0.08670264,0.097848475,0.08792492,0.061227858,0.033073932,0.0132252695,0.004422958,0.0021664484,0.002897341,0.0046495665,0.007120603,0.009900607,0.012484114,0.014155496,0.0146929845,0.014351361,0.014335905,0.015815487,0.019419959,0.02449732,0.029539779,0.033039648,0.034027774,0.032627396,0.029728875,0.027226955,0.027391775,0.03211094,0.041295096,0.051489726,0.057326194,0.054364864,0.043562945,0.030013166,0.020132888,0.015933605,0.01579164,0.016254935,0.016644998,0.018040864,0.02200246,0.027368948,0.03169776,0.03250942,0.029740408,0.024888745,0.020288607,0.017394759,0.016751073,0.017746286,0.019262975,0.02066887,0.023525083,0.032319482,0.05158475,0.081516005,0.11541146,0.1421112,0.15214388,0.14286493,0.12175719,0.10198891,0.09380535,0.096149325,0.098788746,0.09416804,0.08527884,0.08359491,0.096065134,0.11747097,0.1326776,0.12817831,0.103617065,0.07067178,0.045451965,0.035149578,0.037858266,0.044359963,0.047765687,0.04407507,0.036063682,0.029256595,0.032834724,0.05210382,0.0873334,0.12838511,0.16195929,0.1762846,0.17052299,0.15225655,0.13225569,0.11763158,0.109315604,0.106709816,0.10692621,0.10835578,0.10668314,0.10107248,0.09231868,0.08376843,0.07523029,0.06429029,0.050250877,0.036925044,0.02966214,0.029411651,0.032346543,0.0344623,0.035248984,0.03757116,0.04234411,0.04761761,0.04891899,0.04490852,0.03759868,0.03107517,0.026821578,0.023495488,0.019403862,0.015304637,0.014010253,0.017658075,0.024916371,0.03199074,0.034440074,0.03140885,0.024612516,0.017557805,0.011961571,0.008552779,0.007319638,0.008244823,0.010508531,0.012366511,0.012416504,0.010510632,0.007951458,0.006155358,0.005826727,0.0066407956,0.008000306,0.009541116,0.011475707,0.013795485,0.01598899,0.016861977,0.015762715,0.0130609935,0.010175531,0.008708394,0.009351627,0.011766345,0.0143115,0.015641587,0.0149697205,0.013050864,0.010844489,0.0096056005,0.01047593,0.015110637,0.02449658,0.037583217,0.050973743,0.06158833,0.0693396,0.07737327,0.08715492,0.09652692,0.099331774,0.09343153,0.08145418,0.07262806,0.073296845,0.08552904,0.10237894,0.11539215,0.11732168,0.108973674,0.09525723,0.083369255,0.07624021,0.07457415,0.07561638,0.07855848,0.081697375,0.085734375,0.08975362,0.094659835,0.10027202,0.10609984,0.10986809,0.10928214,0.10496763,0.10009562,0.09842195,0.1003179,0.102858484,0.103433944,0.101957776,0.101312816,0.10270121,0.10610601,0.109419085,0.111949176,0.11234056,0.1106753,0.10683841,0.10193484,0.0960022,0.08954609,0.0854407,0.08871464,0.10333254,0.12427651,0.14094071,0.14144526,0.12611452,0.102528624,0.08193339,0.0663412,0.05453063,0.044907883,0.04241316,0.050515085,0.06748334,0.08425931,0.09394995,0.09604023,0.096607275,0.09902532,0.10166177,0.0993846,0.09231254,0.08518177,0.0851179,0.093022525,0.10584704,0.117041506,0.123917006,0.12601115,0.12623484,0.12702908,0.1301163,0.13533823,0.14064424,0.14409377,0.14611264,0.14947076,0.15508847,0.1579456,0.15142727,0.13370909,0.11146171,0.09295216,0.08336607,0.08288079,0.09172162,0.10736531,0.12572102,0.13809137,0.14162476,0.13812554,0.13516432,0.13524693,0.13538748,0.13103577,0.12103489,0.111747004,0.10726734,0.10818564,0.10569329,0.09377912,0.07234101,0.050613564,0.036387067,0.03080977,0.028200075,0.023541026,0.016302472,0.009818849,0.007237164,0.009869543,0.016761463,0.025826955,0.034872856,0.042747762,0.05007336,0.05760638,0.06511307,0.07026708,0.07069857,0.06557064,0.056077104,0.04453801,0.0333345,0.025394896,0.024102917,0.031117776,0.044550806,0.057494998,0.06355275,0.05974899,0.050055634,0.039475705,0.03176013,0.026718214,0.02461496,0.0257599,0.030282304,0.034882933,0.035981227,0.031992484,0.025912471,0.02137593,0.019981334,0.01961911,0.017914923,0.014573027,0.012113876,0.01262146,0.01585794,0.018828647,0.018997766,0.015895316,0.011796199,0.009402197,0.009911831,0.01233929,0.014441073,0.015224027,0.01485395,0.014390177,0.013548453,0.011892249,0.009216319,0.0066318237,0.004957782,0.004390339,0.004386595,0.0048387167,0.0058550686,0.0076580993,0.009995424,0.01265413,0.01499484,0.016166726,0.0150934225,0.011816719,0.0074958536,0.0041551585,0.0034295793,0.0064678993,0.012955294,0.020748286,0.025972685,0.025721496,0.020305278,0.013429277,0.009592908,0.011110607,0.017062435,0.023733653,0.027170673,0.025210867,0.01908419,0.011791189,0.0061473963,0.0029313278,0.0017293948,0.00189823,0.0034800405,0.006245012,0.009354995,0.011126895,0.01064622,0.008119228,0.0050218585,0.002537129,0.0011846801,0.00065213075,0.0005315055,0.000518356]