[0.0012842308,0.0013336592,0.0014147289,0.001480714,0.0015811481,0.0018882016,0.002577536,0.0036048975,0.0046649114,0.005381059,0.0056549776,0.005658628,0.005592428,0.0053784885,0.0048147347,0.0038899118,0.0029439598,0.0024408554,0.002622952,0.0034116718,0.0044909595,0.0054576863,0.0059183887,0.0056249234,0.0047608996,0.0039140354,0.0038627672,0.0050987937,0.008127105,0.013778105,0.02289913,0.03454047,0.0450229,0.04941195,0.045332413,0.034804586,0.022879548,0.013777395,0.009253435,0.009724275,0.016832119,0.033241328,0.058765966,0.08763329,0.110556446,0.12267087,0.12607741,0.12701519,0.12697779,0.122844644,0.10975776,0.088214286,0.06269572,0.039619792,0.022525376,0.012493803,0.009239734,0.01353123,0.025240945,0.041517332,0.057181746,0.07021723,0.085143946,0.107548535,0.13725293,0.16316469,0.17508811,0.16875482,0.15406223,0.14070351,0.13622893,0.13585372,0.13472132,0.12818839,0.120253526,0.11448884,0.1123752,0.108548224,0.09790487,0.08012489,0.06135046,0.04838882,0.04302554,0.041784707,0.03978718,0.035008166,0.028360724,0.021825744,0.016409727,0.01209524,0.00855399,0.0057260343,0.0037738055,0.002940791,0.003525666,0.005501775,0.008224542,0.010272776,0.010487794,0.008641436,0.0057846685,0.0031774826,0.0018700049,0.002311733,0.0048759487,0.00920741,0.014646757,0.020901628,0.029942974,0.045335177,0.06918836,0.09832182,0.12517573,0.14150356,0.14456469,0.13531789,0.119676165,0.10324142,0.09425255,0.09444345,0.099838376,0.099280804,0.08808599,0.069849074,0.054829817,0.048132006,0.04905845,0.053541157,0.060964525,0.07347872,0.09325287,0.117039144,0.13544662,0.13759635,0.11930707,0.08684606,0.052551497,0.026458787,0.011605632,0.0052364008,0.003246458,0.0028973306,0.0037664345,0.0065648346,0.012385768,0.020720001,0.029389406,0.034743454,0.034872122,0.030364087,0.024140865,0.018394308,0.014046389,0.011136764,0.010170672,0.011869054,0.016114013,0.02170036,0.026633509,0.030274587,0.033756323,0.03982711,0.04902008,0.0586168,0.0635039,0.061308336,0.05416171,0.046700537,0.04189981,0.03885402,0.035238918,0.029239481,0.021564014,0.014458172,0.012423945,0.021769822,0.04809499,0.08994904,0.1355745,0.16818202,0.17727073,0.16426867,0.13778208,0.10571965,0.072799355,0.043208804,0.02097202,0.007929812,0.002287924,0.00064520806,0.0003477373,0.0002843391,0.00022462645,0.00030196607,0.0009280725,0.00279963,0.006549074,0.01293273,0.022981236,0.037904806,0.056167062,0.07226481,0.077918895,0.06927324,0.04967911,0.0283361,0.0124211935,0.0041269916,0.001059403,0.0004776482,0.0009755257,0.0027088572,0.006108869,0.012109973,0.02297992,0.043057602,0.07447203,0.1120396,0.14303559,0.15591066,0.15038906,0.1362323,0.12576367,0.12458697,0.13265963,0.14459918,0.15329795,0.15314944,0.14652877,0.14202051,0.14507271,0.14994194,0.14541535,0.1275806,0.105064,0.09044736,0.08847027,0.0937567,0.09724301,0.09400517,0.084216826,0.07090401,0.057126362,0.045708474,0.038953323,0.037338883,0.039270286,0.041878548,0.04336265,0.043637782,0.043390993,0.043384403,0.0434344,0.044006336,0.04565766,0.04936717,0.05375779,0.0556576,0.05203633,0.044335436,0.037278023,0.03533198,0.037714016,0.04122417,0.042932723,0.044318557,0.047301594,0.0532703,0.059859466,0.06421723,0.063233785,0.056536213,0.04576483,0.034807988,0.02788114,0.028363029,0.03680614,0.049906623,0.06066818,0.06296476,0.055620473,0.044193864,0.035256542,0.03188139,0.032323867,0.035633314,0.04415105,0.061594218,0.085958004,0.10803189,0.11604619,0.10518446,0.08052596,0.053315673,0.032901663,0.023433564,0.024998462,0.03586569,0.052377164,0.06859232,0.079193704,0.083690464,0.086408205,0.0915199,0.09728184,0.097786434,0.0888345,0.07405635,0.062280297,0.060845036,0.06863654,0.0773259,0.07785199,0.06774018,0.05189462,0.037616253,0.028901057,0.024857426,0.022935113,0.021457523,0.020285316,0.018994542,0.017024381,0.0144822635,0.012618914,0.012484704,0.013439377,0.013704985,0.011944878,0.008575488,0.0050547705,0.0026960692,0.002370572,0.004975553,0.012187071,0.024286253,0.03984579,0.05470707,0.06686231,0.0759336,0.0838002,0.089840285,0.09352058,0.09551957,0.09958724,0.106527574,0.112683505,0.111173846,0.10193044,0.09199441,0.09049878,0.098010726,0.107236475,0.11209615,0.11367142,0.116832174,0.121736325,0.12280784,0.11547529,0.09969536,0.08138137,0.06723689,0.06492588,0.07688209,0.100338064,0.124550305,0.13959387,0.13923027,0.12748115,0.11271816,0.10340837,0.09970162,0.09613498,0.0876644,0.07599016,0.06615257,0.06081022,0.057128847,0.051536594,0.042639997,0.032385733,0.02259229,0.014497359,0.008294414,0.0044723614,0.0033586845,0.0052851946,0.009276071,0.013454887,0.015105686,0.013371716,0.009129074,0.0052102767,0.0037351416,0.006310332,0.012576499,0.021071812,0.028277889,0.031293195,0.02867747,0.022382496,0.015567207,0.011074477,0.009401553,0.009261872,0.009043706,0.008017398,0.0068605244,0.007050952,0.010465509,0.018036507,0.028684037,0.03923618,0.046455238,0.049687494,0.051046584,0.054033533,0.059820946,0.067314476,0.07288331,0.07463655,0.072149664,0.06737698,0.0614862,0.05560186,0.050795678,0.048679914,0.049439076,0.05101763,0.04999614,0.044720996,0.036046337,0.026971469,0.020348715,0.018225363,0.02194836,0.030819444,0.04282105,0.052417696,0.05572848,0.05030194,0.04025379,0.031199792,0.029694954,0.03729187,0.050809085,0.062758625,0.06586953,0.057917748,0.04239641,0.026078625,0.013610416,0.0062823654,0.0027224014,0.0013642217,0.0011331682,0.0015059701,0.002203377,0.0031023289,0.00408808,0.0049594487,0.005391164,0.0051911385,0.0044121253,0.003429045,0.0026538006,0.002386474,0.0025742815,0.0029206788,0.0029857263,0.0026084005,0.0019517449,0.0014657619,0.0014080364,0.0017326904,0.0020794012,0.002189873,0.0020496103,0.001931385,0.0020110307,0.0022529978,0.0023820016,0.0023015903,0.00212558,0.0021336926,0.0023418728,0.0028882178,0.004557039,0.009551526,0.019894412,0.0353875,0.051495563,0.062203094,0.063737325,0.058380444,0.051666513,0.049044427,0.052066367,0.060022805,0.07039953,0.080121,0.08546994,0.0849818,0.08116891,0.07849133,0.07940043,0.08221745,0.085117586,0.087006874,0.0877407,0.083921246,0.07300673,0.054849476,0.034828193,0.018160498,0.007974423,0.003194778,0.0016526348,0.0012957421,0.0012771223,0.0013357779,0.0014222712,0.0015162625,0.0016399814,0.0018880367,0.0022798155,0.0027245304,0.003064976,0.0032131413,0.0031774195,0.0030166395,0.0027825283,0.0024869442,0.0021200965,0.0016954093,0.0013073445,0.0011232431,0.001228544,0.001535471,0.001868734,0.0022760106,0.0031700272,0.0049360716,0.0074081137,0.009595489,0.010446973,0.009567337,0.007632997,0.0056219716,0.004205369,0.0034628902,0.00336944,0.004002786,0.005305011,0.00673552,0.007399821,0.0068231286,0.0053106374,0.0037474127,0.0027821937,0.0025307098,0.0026731382,0.0028866937,0.0029995155,0.003000834,0.0029083109,0.0027271493,0.0024147814,0.0020095408,0.0016255468,0.0014565134,0.0015396662,0.0017600008,0.0018897468,0.0018693754,0.0018207658,0.0019447586,0.002308616,0.002941875,0.0040985807,0.0063071945,0.009751732,0.013613532,0.016101534,0.01576476,0.012605815,0.008769475,0.0073170834,0.011160084,0.019945588,0.030189665,0.0366721,0.03998326,0.04820517,0.073420085,0.11782199,0.16997151,0.20935632,0.22537708,0.22059728,0.20885776,0.19849579,0.19227523,0.18570995,0.17466627,0.15549639,0.12998165,0.106761694,0.098652594,0.11407673,0.15082462,0.19540252,0.2315588,0.24634783,0.23718828,0.2077554,0.16643153,0.12036628,0.07725677,0.043212857,0.022608375,0.015064404,0.016293539,0.020034483,0.02128447,0.019665072,0.019560138,0.028458359,0.04895408,0.07692931,0.10262359,0.12052079,0.1316645,0.14046942,0.14935528,0.15543628,0.15665887,0.15040147,0.13898689,0.12474566,0.11412523,0.11276749,0.12327794,0.14110757,0.15493758,0.15598549,0.1417491,0.11816297,0.091075845,0.06455027,0.040620245,0.021645358,0.009427554,0.0033428743,0.0012250323,0.0007024875,0.0008166057,0.0015563507,0.0032478704,0.0060420125,0.010283105,0.017048234,0.027368523,0.040242124,0.051729366,0.057429176,0.057333674,0.05730911,0.0657425,0.085165404,0.10927249,0.1258275,0.1270133,0.11407271,0.09488348,0.07616551,0.059478577,0.043883953,0.02905219,0.016770719,0.008370366,0.003832347,0.0017735412,0.0008790128,0.00042806484,0.00018970901,9.409412E-05,7.0769456E-05,0.00018846798,0.0008741752,0.002997943,0.0073533766,0.013630636,0.019909756,0.02350527,0.022935892,0.019052343,0.014837912,0.013551018,0.01738128,0.02563881,0.035851154,0.044360448,0.049821317,0.051585983,0.05015445,0.04441456,0.034853872,0.023185926,0.013094346,0.0069881156,0.0053258124,0.0067402236,0.009200834,0.011272482,0.012125569,0.012015824,0.011550862,0.011762298,0.0138708325,0.01845914,0.02464047,0.029804444,0.033464883,0.039098967,0.05325477,0.076389566,0.10074832,0.112778485,0.10704509,0.08856555,0.071479045,0.06709022,0.0797266,0.10414543,0.12914626,0.14337528,0.14134403,0.1270666,0.109719045,0.09684035,0.08865871,0.079601616,0.0648789,0.04504868,0.025777176,0.012022515,0.0050854604,0.0026115926,0.0019249418,0.0014806861,0.0009921624,0.0005673977,0.0002999319,0.00018208729,0.0002279631,0.00072420883,0.0022707973,0.005413007,0.010522478,0.017745426,0.027836734,0.03980521,0.050850186,0.055112857,0.050659418,0.039860796,0.030655025,0.027357047,0.029882511,0.033056747,0.03363196,0.0314248,0.029221492,0.028879827,0.02994161,0.030394018,0.029384186,0.028650677,0.031010604,0.037300672,0.04478654,0.04912712,0.047555268,0.040989734,0.03254647,0.025305102,0.020287223,0.017291391,0.015898127,0.016486144,0.01958032,0.02542881,0.033098515,0.04235651,0.055039525,0.07731881,0.11267472,0.15768826,0.19901323,0.22548793,0.23272611,0.22410165,0.20174871,0.16727637,0.12511839,0.08446016,0.05437359,0.03768303,0.030986205,0.027638324,0.023298802,0.018446224,0.018506752,0.03004677,0.053314995,0.08043898,0.09774906,0.098476045,0.08571055,0.07066571,0.060819656,0.057159513,0.056796473,0.057164952,0.05720128,0.05427146,0.047451545,0.03809521,0.031663563,0.03155117,0.03688537,0.041818213,0.041122105,0.03356429,0.022854244,0.014109588,0.010786639,0.012845325,0.01779522,0.02214568,0.023824701,0.022655763,0.020305013,0.018324414,0.017715214,0.018662715,0.021441797,0.0263728,0.03337842,0.04093598,0.046313044,0.046934698,0.042745892,0.03611014,0.03063303,0.028632052,0.030161723,0.0330137,0.03389421,0.031099744,0.025808314,0.02208201,0.024439111,0.035084113,0.05307434,0.07315522,0.089242704,0.09543929,0.0907554,0.07711964,0.059923112,0.0437571,0.0323121,0.026631063,0.026765734,0.03196915,0.04078837,0.049983528,0.055368334,0.0539223,0.045886632,0.034168493,0.022550127,0.013756868,0.008965961,0.0077855173,0.008847666,0.010463756,0.011706381,0.012522765,0.01361733,0.015103889,0.01682041,0.018130338,0.019265225,0.020272495,0.021393942,0.02213215,0.022587618,0.022938631,0.024136141,0.026976049,0.032139193,0.038637687,0.044134647,0.045904215,0.043774668,0.039912436,0.03751099,0.0372619,0.037629943,0.035740465,0.030540144,0.023017569,0.015685914,0.010379906,0.007673027,0.007418202,0.00951921,0.013832939,0.01914866,0.0239931,0.027708188,0.03169505,0.03692453,0.042242736,0.04400237,0.03998762,0.031735577,0.02395092,0.020672537,0.022693655,0.027717343,0.032427285,0.034406547,0.033224206,0.030191904,0.027193783,0.025031956,0.02301372,0.020057147,0.016191082,0.012791354,0.011446666,0.012652374,0.015943104,0.020588612,0.02610684,0.031281695,0.034009233,0.03227004,0.026195912,0.017970636,0.010465863,0.0051557575,0.0022119004,0.0008911139,0.00063991686,0.0014201696,0.004056263,0.009647996,0.018208327,0.028882766,0.041000932,0.055617232,0.07192006,0.08521789,0.08772998,0.077474706,0.060837965,0.04863633,0.045093104,0.046106685,0.044694316,0.03955265,0.035221737,0.036696028,0.044468287,0.05555908,0.06825456,0.08489057,0.10935375,0.1423192,0.1773329,0.2049957,0.22008753,0.2282608,0.24034452,0.26022014,0.27799544,0.27684367,0.24883787,0.20030124,0.1466649,0.099859916,0.064467214,0.039229814,0.022040665,0.011249055,0.005461948,0.002925245,0.0019576473,0.001470074,0.0010610693,0.0007039155,0.00045029228,0.0005389358,0.0019223398,0.0065135155,0.016286977,0.030755589,0.045996457,0.055945843,0.05738898,0.051656768,0.044004697,0.03823757,0.035153054,0.032722864,0.02987078,0.027328858,0.026337735,0.026433058,0.025260523,0.021296248,0.015154907,0.009412883,0.0061197393,0.0061181546,0.00898873,0.013795115,0.019221926,0.023792563,0.026453666,0.02652596,0.024087003,0.019512616,0.014067725,0.009067041,0.005728018,0.004304643,0.004535505,0.0059232465,0.008099944,0.010864819,0.013849015,0.016657481,0.018927211,0.021039596,0.024141813,0.029980967,0.040720623,0.058508795,0.08461368,0.11619967,0.14537744,0.16084266,0.15534556,0.13052918,0.09795925,0.07239568,0.06450295,0.07522666,0.09629786,0.11604551,0.1256726,0.1241566,0.114258595,0.10124511,0.08750385,0.07674611,0.06986147,0.067338265,0.06557401,0.06218785,0.05661519,0.050829593,0.045974746,0.040995765,0.03477134,0.027713383,0.02264159,0.02316557,0.033104792,0.055579226,0.09067794,0.13338083,0.17235221,0.19505022,0.19311471,0.1685704,0.13123423,0.09470755,0.06913892,0.059214696,0.0627468,0.072665945,0.08030738,0.0796737,0.070092335,0.054939214,0.039122373,0.026539624,0.019031154,0.016300468,0.01657893,0.018672265,0.022089995,0.026347706,0.029152265,0.02799281,0.023595786,0.02248682,0.035651714,0.069389686,0.1184741,0.16460888,0.19204676,0.1985141,0.1960187,0.19338793,0.18780427,0.1711341,0.14327495,0.11428244,0.093075804,0.08043994,0.07090636,0.061437044,0.052941535,0.046998948,0.042205896,0.03571749,0.026700212,0.017004797,0.009283091,0.0044960934,0.0021334665,0.0010731843,0.0010365722,0.0035804047,0.012356644,0.03130685,0.059199393,0.08807417,0.10564658,0.10614729,0.09259846,0.07557479,0.06174332,0.053120207,0.046914548,0.043261167,0.043048736,0.04744783,0.052765388,0.05424409,0.048467245,0.039065752,0.033646658,0.039334416,0.05421835,0.06864344,0.0711169,0.05997062,0.04335847,0.033790823,0.036113273,0.04629777,0.055021245,0.056924712,0.053059187,0.04859071,0.047234442,0.049115315,0.052436423,0.056176517,0.060306262,0.0647364,0.06784142,0.068001024,0.06460368,0.058980137,0.052468803,0.0453444,0.037156727,0.027998015,0.01914586,0.011807845,0.0066183903,0.0033125123,0.0014927884,0.000860022,0.0015499797,0.004043054,0.008378784,0.01347405,0.017057367,0.017589396,0.015830144,0.015472663,0.021227548,0.03660891,0.0622433,0.095110536,0.12983942,0.15967381,0.17966034,0.18638761,0.17900999,0.15789117,0.12649119,0.09151705,0.06123222,0.04163378,0.033399288,0.03357092,0.038036678,0.044180065,0.050180677,0.054603484,0.055833012,0.052710067,0.045238107,0.034786243,0.023987638,0.01530122,0.010829137,0.0118488,0.019680617,0.033556584,0.049540203,0.060046475,0.060099784,0.051974934,0.04638824,0.05327793,0.07351228,0.09673998,0.10987622,0.106864095,0.09127625,0.073003225,0.06129481,0.06186065,0.07325727,0.088565946,0.0989693,0.10028892,0.093653955,0.08186679,0.0661212,0.047322575,0.028503917,0.013815916,0.005341537,0.0019854454,0.0011452703,0.0009831883,0.0008853101,0.0010090512,0.0015429988,0.0024620371,0.003420554,0.004005829,0.004077784,0.004272163,0.005831701,0.009923185,0.015894476,0.021290712,0.022868454,0.019798933,0.013876777,0.008626858,0.0061299764,0.0063996487,0.007714031,0.008307356,0.0074212016,0.0054359566,0.00370474,0.003691512,0.0068231127,0.013085303,0.020859329,0.026660359,0.027957277,0.024301404,0.01804118,0.011739907,0.0070989938,0.0042480384,0.0027770204,0.0021247305,0.0019096112,0.0018741306,0.0018937173,0.0020680027,0.0035030183,0.008351526,0.019194148,0.03502998,0.051375877,0.06212291,0.067850254,0.074352115,0.087430306,0.10254127,0.108321704,0.096026994,0.06903543,0.039131816,0.017031493,0.005596656,0.001655352,0.00084871956,0.0007818679,0.0007260084,0.0006451306,0.0005458021,0.00045803632,0.00040567527,0.00040239157,0.0006986847,0.0018342502,0.004662624,0.009847403,0.018497327,0.032252118,0.052369863,0.0763007,0.097219475,0.107203096,0.103567876,0.08912391,0.069779284,0.04994932,0.0342306,0.026923174,0.030767208,0.04307753,0.057202835,0.06805667,0.0747276,0.07904982,0.08023101,0.077064365,0.06963156,0.0619989,0.0567119,0.054054964,0.0514006,0.048480917,0.046482373,0.04836261,0.053733725,0.060036626,0.06172285,0.056578115,0.0465554,0.039657436,0.04351077,0.0597185,0.07996454,0.09067452,0.08369064,0.061979998,0.037116315,0.018782249,0.009836547,0.007636428,0.009569059,0.014727573,0.022529425,0.03116631,0.038289204,0.042215317,0.042155314,0.037859704,0.030071614,0.020909676,0.013402447,0.010054682,0.012420784,0.020662917,0.033053204,0.04520135,0.052214365,0.052079987,0.04806782,0.04590791,0.049581114,0.057794254,0.065747924,0.06842166,0.06527747,0.061286643,0.06493613,0.08242753,0.11316701,0.14862293,0.1765853,0.18673408,0.17654155,0.15163551,0.12356201,0.102645844,0.09368684,0.093468755,0.09467132,0.09086252,0.08097619,0.06811424,0.056723863,0.04910603,0.045912296,0.04600103,0.04793984,0.04958062,0.04944934,0.04694738,0.043399233,0.04054148,0.039061233,0.037465457,0.0345049,0.03170004,0.03216851,0.03761383,0.045194943,0.051459696,0.054121036,0.05478002,0.054700464,0.054828938,0.05390088,0.05123843,0.045833666,0.038289882,0.029298201,0.020821853,0.0138827,0.009235923,0.006310751,0.0046213144,0.0035599284,0.002882975,0.0023906343,0.0020089361,0.0021584034,0.0044441004,0.012405359,0.03057006,0.061189268,0.10106838,0.1415866,0.17562173,0.20202488,0.22590624,0.2476178,0.26088062,0.25532222,0.23068745,0.19501208,0.16086167,0.13317996,0.112369575,0.09518831,0.08051447,0.067453325,0.05635425,0.047409985,0.04053654,0.034910016,0.029308798,0.023317931,0.017315157,0.012347805,0.009036603,0.007458878,0.007116754,0.007727415,0.0094304085,0.012507907,0.016512837,0.020138567,0.022140259,0.022395136,0.021978997,0.02232111,0.024572479,0.029481262,0.036799625,0.044837605,0.05076092,0.052847255,0.05162212,0.04927072,0.04768065,0.047711074,0.049978685,0.054381173,0.05982092,0.06325365,0.062091123,0.055543806,0.046082783,0.037429024,0.032617696,0.032250896,0.035212547,0.039826512,0.044729337,0.048313584,0.049235705,0.0466432,0.04120804,0.03389954,0.026030898,0.018828468,0.014297406,0.014227738,0.01920869,0.027461017,0.0354781,0.041015327,0.047218423,0.06494075,0.105757274,0.17062771,0.24357355,0.30156884,0.3330817,0.34161922,0.33810398,0.323105,0.29485297,0.25300273,0.20931037,0.17373656,0.15253504,0.14333506,0.14091104,0.13842049,0.12932424,0.112131,0.08955673,0.068224095,0.051961,0.04152133,0.034835655,0.029750088,0.025731714,0.023027832,0.023003787,0.02652005,0.03474577,0.047935862,0.06458071,0.08036008,0.0896329,0.08939872,0.08126846,0.07017492,0.060575545,0.054356594,0.051825065,0.052694555,0.05745833,0.0661756,0.0782925,0.09128829,0.10187063,0.10675001,0.10444295,0.09500653,0.080732875,0.06483396,0.0508866,0.040185217,0.032159466,0.02498179,0.018076971,0.0119475825,0.007618023,0.005246633,0.0042425846,0.0037693463,0.0035406929,0.0039928723,0.006124944,0.010567754,0.017117785,0.024574673,0.031952176,0.038911775,0.04621038,0.05474822,0.06528763,0.076667644,0.08592141,0.0889763,0.08407876,0.07286415,0.059026938,0.04586797,0.034460254,0.025121095,0.017371576,0.011648976,0.008236119,0.007943859,0.010472003,0.014427833,0.017217042,0.01697958,0.013757254,0.009530663,0.0067014904,0.0066421144,0.009485791,0.014214474,0.019653251,0.024707323,0.029154448,0.032872826,0.035547633,0.03665837,0.036290906,0.035382148,0.03484712,0.03505375,0.036082115,0.037662227,0.03892297,0.037747826,0.032704618,0.024262616,0.015202288,0.008209643,0.0043184967,0.0027800559,0.0023295535,0.002133072,0.0018757795,0.0015680298,0.0012940406,0.0011453003,0.0011444342,0.0012738068,0.0015058628,0.0017972983,0.0021191759,0.0027486861,0.0044598263,0.008822016,0.016879015,0.029084712,0.044186067,0.062399533,0.08415582,0.10976455,0.13302378,0.1438733,0.13361529,0.10476091,0.06934398,0.04079834,0.02451396,0.017371098,0.0137600945,0.010491992,0.007809984,0.006563587,0.007958589,0.013565392,0.02616092,0.045359135,0.0655378,0.07679746,0.07387269,0.060564477,0.046635646,0.038833667,0.036219213,0.035010096,0.033118032,0.032383956,0.03380923,0.036263507,0.036769465,0.033723313,0.028060788,0.022392793,0.019062323,0.01893834,0.021732435,0.026885472,0.033266395,0.038929194,0.04147418,0.039867982,0.034965895,0.028793104,0.023002537,0.01845304,0.01547571,0.01403306,0.013811843,0.013913463,0.01351414,0.0121534765,0.010628548,0.010567752,0.013545237,0.019526804,0.026211038,0.030393535,0.03000351,0.025775582,0.020125369,0.01558859,0.013686514,0.015339705,0.020661166,0.028091291,0.03458954,0.037718024,0.037886873,0.037827283,0.040510595,0.04816476,0.062103946,0.0818594,0.10208306,0.11503274,0.11527657,0.10662869,0.09685472,0.091837585,0.08900709,0.084842324,0.07935377,0.07888865,0.08703727,0.101046026,0.111620754,0.11192385,0.10146642,0.08691507,0.07641854,0.07437476,0.07898608,0.08313429,0.08136106,0.07214961,0.059993092,0.049119186,0.042995077,0.041690405,0.044308778,0.04808707,0.050305028,0.04934591,0.045461576,0.040163796,0.034318615,0.028608521,0.02339024,0.020044094,0.020139055,0.025135105,0.035069507,0.047652464,0.05855587,0.06300443,0.05883539,0.047962155,0.035851505,0.028353207,0.028695678,0.035313383,0.04320612,0.046593454,0.043409254,0.035547107,0.027284881,0.021233832,0.018062016,0.017449811,0.019183807,0.022362797,0.02474908,0.024327448,0.020974664,0.017111536,0.01575918,0.01911965,0.027081138,0.03765024,0.046852794,0.05128156,0.04920264,0.042573188,0.03480776,0.029603379,0.027834713,0.028510243,0.02906997,0.028432703,0.026534079,0.02471994,0.023472227,0.02311374,0.023045616,0.023019431,0.022504814,0.021496592,0.020103313,0.018788693,0.01789643,0.01732243,0.01658275,0.015091115,0.0131415585,0.011582443,0.011273057,0.012196165,0.014082349,0.017149517,0.021423804,0.025770737,0.02748249,0.025024248,0.019290354,0.01357632,0.010293842,0.009772838,0.010440831,0.01102204,0.011267421,0.011647563,0.012222043,0.012491829,0.01204836,0.01134126,0.01138381,0.012784348,0.015084232,0.017244799,0.018659035,0.0197239,0.02147594,0.024734145,0.029223025,0.033589024,0.036094286,0.036182497,0.034546603,0.032536935,0.030568147,0.028654492,0.026991656,0.02657157,0.027827606,0.030091733,0.031890552,0.03276642,0.03360595,0.036152754,0.04074833,0.046021283,0.049232617,0.049012806,0.0461393,0.04299009,0.04144912,0.04260743,0.048006862,0.05911158,0.074175976,0.08887994,0.10074597,0.116628624,0.1432913,0.17882113,0.20512456,0.2075574,0.186379,0.15909667,0.14036651,0.13148767,0.12359377,0.110784926,0.09719217,0.09183881,0.099932134,0.11733156,0.13394076,0.14073876,0.13497777,0.119641416,0.099583335,0.07886327,0.06018774,0.045284685,0.03473005,0.02796142,0.02412594,0.02265349,0.0235964,0.026859082,0.032037582,0.03780791,0.042570665,0.044579998,0.043116186,0.038512778,0.032378033,0.026569344,0.022405937,0.020227933,0.019683143,0.020460628,0.022324579,0.024902118,0.027428223,0.02908729,0.02986821,0.030161345,0.030334724,0.02959483,0.02731157,0.023480332,0.019461967,0.016402112,0.0150288185,0.015354547,0.017329678,0.020571308,0.024553573,0.029038683,0.034431472,0.04132663,0.04941933,0.05694568,0.061525155,0.06149504,0.057328213,0.05113505,0.04636495,0.0461009,0.05209737,0.062485967,0.07208779,0.074756704,0.06899691,0.060244504,0.058568746,0.068915606,0.08646667,0.09836667,0.096851476,0.08419552,0.07002613,0.059839934,0.05228211,0.043585926,0.034028135,0.02889941,0.03450514,0.052702725,0.077874266,0.09811001,0.10363933,0.09297224,0.07382043,0.054887716,0.040724672,0.030958345,0.025644707,0.027549574,0.042116597,0.069835365,0.10284752,0.12491563,0.12478987,0.10304751,0.07309974,0.049292583,0.04062138,0.04774232,0.06533788,0.083438545,0.092693746,0.08970711,0.07953364,0.06939594,0.06256838,0.05623099,0.04740931,0.03637776,0.028963944,0.033577915,0.060527682,0.11226666,0.17878224,0.23554297,0.2626455,0.2550517,0.2255734,0.18802845,0.1516448,0.12078628,0.09958281,0.08951349,0.088178396,0.092381395,0.10158336,0.11555901,0.13150567,0.14280796,0.14539535,0.13800132,0.1241315,0.106354,0.08928165,0.0765459,0.07301524,0.079251796,0.09207045,0.1038493,0.108100064,0.103197515,0.09361724,0.08555064,0.081293754,0.07890434,0.07548469,0.07090038,0.06660833,0.063978426,0.06364006,0.06533804,0.068178646,0.07009872,0.0701763,0.067665525,0.062328074,0.052911203,0.04046191,0.027728178,0.019174123,0.017112918,0.022230515,0.03167216,0.04076338,0.043630753,0.03961632,0.034145575,0.037472013,0.05453517,0.08176895,0.10748142,0.12161983,0.12001755,0.10527473,0.08443215,0.06804778,0.06938765,0.09411579,0.13371141,0.16501956,0.16976084,0.1470077,0.11413353,0.08869931,0.07716429,0.074301444,0.072977625,0.06931907,0.064212605,0.06021164,0.061071098,0.06766549,0.07832486,0.08737161,0.09060434,0.085693516,0.07469169,0.06071118,0.04779626,0.03816755,0.032343987,0.029044198,0.027767243,0.029430797,0.035638575,0.04569244,0.056253847,0.06327388,0.06521482,0.06460043,0.066070214,0.073946595,0.08767449,0.10269878,0.11156116,0.11124993,0.10247258,0.08989933,0.07533934,0.060161322,0.045761656,0.038561795,0.0473246,0.07815295,0.12679434,0.17673905,0.20772506,0.20856607,0.18474829,0.15227567,0.1252607,0.107926495,0.096975155,0.08787567,0.07950383,0.07567987,0.08653154,0.12645084,0.20253174,0.30264238,0.39245376,0.43583927,0.41768646,0.3545064,0.27989128,0.22022058,0.18267737,0.15724415,0.1332153,0.106122606,0.08037864,0.060751546,0.049349856,0.04404074,0.041785214,0.039772514,0.036743958,0.033749174,0.034291964,0.042078983,0.056200016,0.07051495,0.076559834,0.07148559,0.058847472,0.046614427,0.039892927,0.039959297,0.043978643,0.048556242,0.051144946,0.052090768,0.053734545,0.058172327,0.064902775,0.071219236,0.074496455,0.07402905,0.07051393,0.06507841,0.05829977,0.05093022,0.044043783,0.039215196,0.03748862,0.03856423,0.04091532,0.043306503,0.04725349,0.056602936,0.07476276,0.09836129,0.11833622,0.1241618,0.11483256,0.09707844,0.08143786,0.071842544,0.06741548,0.06460626,0.061433446,0.05697031,0.05026993,0.04167244,0.032094117,0.023996979,0.018600347,0.016420946,0.01663705,0.01862602,0.021569883,0.024814202,0.028054088,0.032560553,0.039504357,0.048402194,0.05521122,0.05628161,0.0509916,0.043603685,0.039292518,0.04066666,0.046361845,0.052274242,0.0554549,0.05511638,0.05346039,0.05269431,0.05343671,0.055550188,0.059003044,0.066984266,0.079341926,0.09344109,0.100918986,0.10054639,0.0964668,0.09908271,0.11029693,0.12510358,0.13272515,0.12828733,0.1136609,0.09736372,0.08737893,0.087057,0.092400454,0.09627142,0.09343817,0.085971124,0.080976985,0.086561225,0.10273094,0.12067121,0.12626787,0.11296921,0.08599127,0.06071877,0.051695943,0.066680156,0.10046903,0.13769883,0.1580906,0.15163954,0.12299038,0.088638045,0.06265944,0.051268563,0.052742038,0.061329197,0.07022882,0.073607124,0.070891075,0.06519628,0.0609252,0.058651377,0.05688812,0.05360738,0.048805043,0.043076817,0.03735741,0.03464132,0.043079615,0.07580066,0.13938493,0.22066522,0.28626478,0.30447102,0.2711366,0.20973243,0.15133628,0.11027675,0.08663484,0.0748451,0.07362857,0.08336812,0.10643711,0.14638738,0.20440428,0.27192864,0.32965168,0.3569076,0.34580556,0.30667165,0.25990096,0.22132742,0.19288468,0.16817851,0.1425481,0.11874012,0.1004317,0.08664024,0.07255286,0.057500377,0.04832123,0.0580101,0.09604049,0.16088302,0.23324184,0.2846589,0.29233217,0.25470546,0.19114505,0.12798019,0.08576203,0.07276628,0.08988702,0.12862061,0.17264648,0.1992169,0.19391374,0.15893944,0.112665735,0.07532381,0.058258723,0.060288828,0.072311945,0.082995504,0.085310996,0.07876808,0.06867858,0.060010627,0.05559886,0.054861758,0.05636324,0.057244245,0.055373877,0.05081885,0.046447407,0.045217704,0.047017276,0.049417797,0.050143983,0.049767505,0.049721386,0.050935462,0.05192784,0.05149575,0.04902965,0.046250638,0.045908045,0.05234055,0.069782,0.09782746,0.12895913,0.14925873,0.15048498,0.13502805,0.11662841,0.1061027,0.10519969,0.10595253,0.10100803,0.08932087,0.076157205,0.067748494,0.06699023,0.07181471,0.077451445,0.07952217,0.07796673,0.075388044,0.07443383,0.07459576,0.074240096,0.07213128,0.068624735,0.06489021,0.0634951,0.0660894,0.07200062,0.07658514,0.07683436,0.07353086,0.07194844,0.07473203,0.07989123,0.08132704,0.07576037,0.065148465,0.056336895,0.053628493,0.056379285,0.058229674,0.05545777,0.047644395,0.039046615,0.031490225,0.026506811,0.024344796,0.027478188,0.035774194,0.04673326,0.054466773,0.05567558,0.050005887,0.041359384,0.033754144,0.03056948,0.032429885,0.037862167,0.043937575,0.047812928,0.04818006,0.04533198,0.04103583,0.037222072,0.03550419,0.036456134,0.039708536,0.044227812,0.048516974,0.051725935,0.05338034,0.05461846,0.057046313,0.064122684,0.078600675,0.1004738,0.12253213,0.1335557,0.12577407,0.103183925,0.07959101,0.06933815,0.077593125,0.0978779,0.11758908,0.1253708,0.11867537,0.10219241,0.08474696,0.07113219,0.06318018,0.058762085,0.056005,0.051740255,0.044878434,0.03573251,0.026865048,0.02048009,0.018262347,0.021627417,0.030604573,0.043743998,0.057505082,0.07060063,0.08396081,0.09773174,0.107734345,0.10608677,0.09256953,0.07444205,0.065931775,0.071345784,0.08790531,0.103700705,0.1122669,0.10987622,0.1009335,0.08913223,0.078380644,0.06767043,0.055795733,0.04233818,0.029637642,0.020087695,0.01466845,0.013091117,0.01514861,0.020597996,0.028020807,0.034690097,0.038883332,0.041424353,0.04522196,0.05146271,0.05921088,0.065509506,0.069811575,0.07309669,0.07803676,0.08484147,0.09124958,0.093327485,0.088951886,0.079565056,0.068747945,0.059411842,0.052332837,0.046923142,0.04311359,0.0412704,0.04118966,0.041183967,0.03873199,0.033106785,0.026317215,0.023052057,0.028672105,0.04866308,0.0884429,0.15026206,0.22823125,0.3055483,0.36065313,0.37891698,0.35920557,0.31325623,0.2574133,0.20841528,0.17746563,0.16695803,0.1695814,0.17282093,0.17022002,0.16161293,0.15375273,0.14928167,0.15139715,0.16256942,0.18909429,0.23060219,0.27611682,0.30560634,0.30618194,0.28028134,0.2435479,0.20901972,0.18145768,0.15820892,0.13753107,0.119902015,0.10599921,0.09485585,0.083662085,0.07138736,0.05882598,0.04865466,0.042330522,0.039622575,0.0388453,0.0380303,0.036009055,0.032709073,0.029446036,0.02799424,0.029601352,0.033653032,0.03759032,0.038165,0.033878442,0.026135797,0.01818228,0.014556856,0.022002019,0.052134305,0.11444244,0.20542629,0.29766494,0.35254133,0.3441099,0.28200093,0.20440869,0.15148787,0.13757281,0.14739925,0.15413095,0.14257999,0.11664926,0.09004738,0.0716222,0.06280203,0.06304435,0.07520008,0.09830435,0.12389097,0.13754906,0.13350599,0.116222285,0.09698496,0.08287488,0.076648116,0.078496195,0.08714328,0.100243054,0.11377152,0.12569384,0.13349336,0.1353538,0.12754825,0.11014986,0.08601669,0.062538326,0.044803407,0.035296213,0.031763855,0.031474534,0.03151938,0.030582665,0.027825857,0.024757804,0.024616329,0.03130901,0.043837015,0.056034725,0.05933405,0.051373918,0.037015636,0.026995694,0.031702567,0.058237802,0.10470238,0.1569788,0.19492184,0.20532435,0.19468902,0.1797748,0.17394613,0.17334004,0.16750778,0.14958666,0.124545336,0.102198154,0.09123995,0.094660245,0.1088421,0.12454102,0.13140765,0.12532304,0.11150188,0.099889,0.097241305,0.101473056,0.10877493,0.12156526,0.1583376,0.23881559,0.36577687,0.5049433,0.60239947,0.61593777,0.5461855,0.4312605,0.3193374,0.23998886,0.19554667,0.17350744,0.16126531,0.1563177,0.15859407,0.16623841,0.17097306,0.16939944,0.16168745,0.15312737,0.144563,0.1373617,0.13065757,0.12360933,0.11242006,0.09502249,0.074250534,0.055897355,0.045253664,0.04319939,0.0496863,0.06448905,0.0888229,0.12061117,0.15250535,0.17329456,0.17655312,0.16760272,0.15938036,0.16060649,0.16768526,0.17114967,0.16837823,0.16522922,0.16989009,0.18244185,0.20113736,0.22168285,0.2408702,0.24831837,0.23786825,0.21106716,0.18065917,0.15651439,0.14043719,0.13005506,0.12317871,0.121128015,0.119945906,0.11687256,0.107278146,0.09381951,0.07815599,0.06518414,0.055944506,0.05168021,0.049898714,0.049543273,0.050067663,0.054337587,0.06429423,0.08072498,0.0992584,0.11457787,0.12215573,0.12566186,0.13347651,0.15432209,0.18563718,0.21363623,0.2222752,0.21078223,0.20178024,0.22730367,0.3023523,0.40433875,0.48367587,0.49783158,0.44167998,0.35206425,0.27363992,0.23063044,0.21040563,0.19193904,0.16263622,0.13307156,0.11718098,0.12451377,0.15051232,0.18223967,0.20337544,0.20285189,0.18505311,0.16401778,0.15547223,0.15886675,0.16326267,0.1542582,0.1297016,0.09814402,0.07280513,0.061460327,0.06307095,0.070691146,0.076920815,0.07721651,0.072374135,0.0660957,0.06451105,0.069321364,0.079485424,0.089513786,0.09755919,0.10266423,0.107291155,0.11105453,0.11351708,0.11250627,0.1067609,0.095831685,0.08076324,0.06455671,0.050066512,0.039614063,0.033688646,0.031899527,0.032411557,0.0327201,0.03212837,0.03560139,0.055056587,0.10184994,0.17476554,0.25104156,0.29704115,0.28953764,0.23500945,0.1627096,0.10367022,0.070255406,0.057406235,0.054146692,0.054909166,0.05799662,0.0617326,0.06184925,0.056541566,0.047845732,0.041488092,0.041889265,0.0517634,0.07089555,0.09746047,0.12821628,0.16061485,0.1929908,0.22184086,0.24031878,0.2408951,0.22218597,0.19274937,0.16648199,0.15435883,0.15711133,0.16756873,0.17637886,0.17875642,0.17497738,0.16845463,0.16263717,0.16089986,0.16663094,0.18098849,0.20081754,0.21894719,0.23187953,0.24099971,0.24945623,0.2541311,0.24865627,0.23048954,0.20450729,0.17943005,0.16133755,0.1532617,0.15333854,0.15676665,0.15598325,0.14652124,0.12850808,0.10675349,0.086425476,0.071025066,0.061496094,0.05794247,0.060622234,0.06895685,0.079916865,0.08809055,0.091016136,0.09199607,0.09764788,0.1104747,0.12587999,0.13893282,0.15073569,0.16809762,0.19301474,0.21595848,0.22251518,0.20559703,0.17632781,0.1533152,0.15205614,0.16928245,0.1909141,0.19789077,0.18211477,0.14767782,0.10988627,0.085674055,0.08336225,0.099130414,0.11797514,0.12668689,0.12209713,0.11527144,0.12013906,0.14128882,0.16677813,0.1773025,0.16104534,0.123847805,0.08344635,0.05598943,0.04595095,0.048015248,0.054080773,0.06016299,0.065664336,0.07382072,0.08772189,0.11292768,0.15091807,0.19822323,0.24042128,0.26261064,0.25863817,0.23809838,0.21790121,0.20867683,0.21288593,0.2238432,0.23497514,0.23578961,0.22218661,0.19436651,0.16173027,0.1330686,0.1144777,0.106045164,0.10452723,0.10574629,0.10613426,0.10303458,0.09475275,0.08122513,0.06519588,0.050359603,0.03916297,0.031398166,0.025346251,0.02012887,0.015800802,0.014032029,0.016494215,0.025505254,0.039569996,0.05484241,0.065126024,0.07278807,0.08521754,0.11215776,0.14853501,0.17912674,0.18475997,0.16199279,0.12259858,0.086025536,0.0636735,0.0544419,0.050595146,0.04580191,0.03962453,0.034764264,0.03347206,0.03551131,0.03895566,0.042944025,0.04822347,0.055802166,0.06575652,0.07741555,0.08955807,0.10009527,0.10631148,0.10985404,0.11497846,0.12535489,0.13674958,0.1426007,0.13880414,0.1276073,0.11186118,0.09549678,0.082996435,0.08212516,0.09657061,0.12393137,0.15275288,0.1702258,0.16839086,0.15126936,0.1305385,0.116378166,0.10929831,0.103011616,0.09315449,0.0820897,0.07710817,0.083699495,0.10159588,0.12299969,0.13650398,0.13383032,0.11486203,0.0873412,0.060336024,0.040461503,0.029963689,0.029855696,0.040771827,0.06387296,0.097025394,0.13176833,0.15485363,0.15626226,0.13786705,0.11106915,0.08915588,0.07819002,0.077881895,0.08441874,0.09372026,0.1020653,0.10645514,0.10630337,0.10327103,0.099753976,0.09651325,0.09217951,0.08541489,0.0765864,0.06727074,0.059094403,0.052952815,0.050829325,0.05421264,0.06279143,0.072645254,0.08031481,0.08480087,0.0879258,0.08954579,0.0888125,0.08467579,0.07959931,0.07410334,0.06782795,0.057809457,0.045100033,0.03200348,0.022233045,0.016814714,0.016344337,0.02203464,0.035648376,0.058491677,0.08785864,0.11876279,0.1435011,0.15644915,0.1540391,0.13777514,0.11491394,0.09824935,0.10069102,0.12395511,0.15595908,0.1768617,0.17710997,0.16139401,0.14238518,0.12634468,0.11130023,0.09477132,0.07920867,0.07108169,0.072489776,0.07990404,0.08602805,0.08643243,0.0816878,0.076470375,0.074906655,0.07830051,0.084484436,0.09085334,0.09441987,0.09336231,0.08723438,0.080122024,0.07761316,0.08233497,0.089484185,0.09207114,0.087449245,0.079138674,0.07182314,0.06680741,0.063880034,0.063304044,0.06630483,0.072481126,0.08014574,0.088445194,0.09782812,0.108577915,0.117621236,0.121216506,0.11922056,0.12017118,0.1339304,0.16256708,0.1926812,0.20793073,0.2004732,0.17883301,0.15473503,0.13531882,0.118093155,0.0996851,0.07826473,0.057638805,0.04423167,0.04637709,0.066558175,0.09760747,0.12381122,0.13167773,0.11883921,0.09344562,0.06632598,0.04427071,0.029675784,0.022971796,0.02341061,0.029260159,0.036848415,0.042245645,0.042376574,0.037573498,0.030597053,0.025555307,0.025559865,0.03243233,0.044647228,0.05757149,0.06498098,0.06448824,0.05865121,0.053462017,0.053225264,0.058300417,0.064726375,0.06663562,0.06048816,0.047811624,0.034486253,0.026262842,0.025988715,0.034208566,0.0509899,0.07507561,0.10217577,0.12492051,0.13756174,0.13823777,0.1297204,0.11497293,0.097329445,0.079855055,0.06632395,0.057991117,0.05305088,0.04851417,0.043375716,0.038615465,0.034704078,0.030649664,0.025607003,0.020880485,0.0203149,0.028962994,0.050584625,0.082850985,0.11513355,0.1319805,0.12452924,0.09703814,0.064369164,0.03950109,0.026519137,0.021309027,0.019039335,0.017713651,0.01770329,0.018967897,0.020807922,0.022876235,0.025596512,0.02900169,0.03172173,0.032227833,0.03037279,0.028603114,0.0297724,0.035615116,0.044138584,0.051667515,0.054383267,0.052666917,0.049263243,0.047643002,0.047701996,0.048123866,0.047412444,0.04633837,0.044939738,0.043028664,0.039724663,0.03709471,0.038325507,0.046417516,0.058593933,0.068288244,0.06855791,0.06077123,0.05458228,0.06281587,0.09160367,0.13531606,0.1804517,0.21159309,0.22090353,0.20786315,0.18116842,0.15176342,0.13419153,0.13824536,0.16761072,0.20833147,0.23953712,0.24158211,0.21773596,0.18344891,0.15850228,0.14784469,0.14991248,0.15890056,0.172332,0.1877647,0.20162527,0.20877974,0.20212762,0.1799049,0.14643788,0.1131931,0.08905151,0.0779661,0.077700906,0.084315956,0.093499,0.102220684,0.10847831,0.11218348,0.11382666,0.11541983,0.11864132,0.12596153,0.13738023,0.15334763,0.17129989,0.18952657,0.20054846,0.19892193,0.17927891,0.14672886,0.109562196,0.08002872,0.06548808,0.06892476,0.08634921,0.10895804,0.12630631,0.13015854,0.11850674,0.09592233,0.07252531,0.05753388,0.055032805,0.060772628,0.068961516,0.07572725,0.08384306,0.09419351,0.10475732,0.10778179,0.10139391,0.090345055,0.08343819,0.08224207,0.08000467,0.074175455,0.07515145,0.106410466,0.17857476,0.27743605,0.36231884,0.39911592,0.37928188,0.32684222,0.27452385,0.24238075,0.22782175,0.21365523,0.18787129,0.15051945,0.11317402,0.08555525,0.07534901,0.08809627,0.12404498,0.1705063,0.20134626,0.19761805,0.1606255,0.11361895,0.07798772,0.06144559,0.056041736,0.053395797,0.050613966,0.05075286,0.055490017,0.06348165,0.07101747,0.07514005,0.07436126,0.068709716,0.059949506,0.050780546,0.04396109,0.039868023,0.03698236,0.03296068,0.027212271,0.021005256,0.016169969,0.013530689,0.0125335865,0.012580152,0.013721515,0.016887723,0.022836713,0.032547627,0.0469339,0.06758206,0.09313377,0.11998231,0.14132553,0.15434349,0.15838675,0.15579233,0.14585705,0.13007271,0.11428073,0.11049896,0.12546124,0.15343116,0.17552637,0.17604928,0.15321012,0.122850515,0.1051087,0.11277368,0.14171852,0.17377414,0.18697287,0.1703953,0.13043721,0.08467769,0.04933147,0.031700503,0.03143883,0.042711183,0.057258565,0.06524092,0.061837148,0.048441783,0.032463193,0.02045714,0.015662335,0.017186033,0.022099487,0.027123054,0.029671567,0.028989755,0.02575208,0.021680696,0.018351002,0.01693411,0.017480476,0.019362664,0.021359427,0.022825867,0.023384849,0.023104936,0.022225142,0.021710716,0.02366362,0.030291678,0.04297406,0.060010757,0.07825176,0.0948942,0.111332804,0.1303861,0.1517986,0.16785419,0.16827929,0.1487766,0.11679876,0.08683402,0.07032738,0.0680207,0.07136803,0.07073624,0.06283144,0.05200969,0.04482634,0.045149323,0.0523013,0.06300097,0.07291851,0.07786504,0.075930275,0.068286926,0.059048798,0.05193931,0.049986716,0.055957478,0.07364297,0.10373461,0.1395896,0.16662993,0.17203818,0.15483905,0.12808383,0.10834605,0.102947466,0.10731656,0.11151519,0.11140842,0.11128956,0.12013855,0.14181368,0.16981302,0.19051582,0.1925202,0.17554809,0.14862864,0.124325775,0.10878191,0.10282744,0.10253898,0.108276635,0.12016022,0.13955927,0.16038394,0.17651348,0.18108666,0.17393883,0.15780646,0.13753583,0.11733823,0.099981874,0.08953517,0.08805591,0.094899334,0.10333929,0.10832083,0.11018232,0.11514882,0.12546568,0.13622977,0.13876265,0.13000245,0.11526171,0.105181746,0.10906329,0.13010459,0.16462821,0.20512491,0.24355213,0.27177665,0.2805259,0.26238817,0.21908487,0.16397339,0.11688646,0.09006969,0.08430114,0.08999435,0.0988358,0.1044943,0.10467533,0.09850619,0.091178566,0.091322504,0.10645669,0.13618273,0.17329146,0.20728163,0.22846009,0.23175041,0.22187954,0.21307643,0.22017138,0.24365683,0.26994446,0.2805214,0.27070513,0.24710314,0.22288917,0.20299296,0.18791528,0.17450343,0.1653003,0.16359878,0.17239745,0.18584794,0.19503726,0.19100775,0.17427503,0.1503851,0.12726201,0.108113706,0.09311112,0.0815719,0.07527477,0.07945802,0.09660649,0.12305707,0.14580673,0.15415019,0.14672881,0.13507015,0.1313577,0.13773401,0.14610864,0.14720011,0.14363961,0.14459024,0.15888804,0.18054444,0.19649655,0.19261174,0.16774602,0.12955078,0.09098175,0.060967516,0.044575933,0.04291442,0.054606795,0.074630864,0.09493976,0.1074541,0.10802766,0.09830132,0.08397434,0.07132923,0.06485481,0.067354515,0.08051666,0.10371715,0.13141495,0.15321948,0.15904637,0.14654598,0.12487468,0.109472096,0.11017189,0.12270057,0.13120149,0.12306946,0.099273615,0.07498948,0.06810168,0.08949873,0.13675983,0.19332922,0.23525272,0.24331142,0.2156468,0.16750866,0.12187952,0.09714229,0.09998218,0.12545782,0.15977634,0.18992086,0.20639135,0.20804073,0.19723772,0.18430515,0.18052383,0.19372909,0.21526802,0.2265432,0.21147676,0.17401947,0.13535057,0.119904466,0.13687138,0.17533357,0.21321082,0.23437683,0.23909844,0.2404366,0.24999166,0.2685453,0.28706124,0.2965678,0.29302204,0.27804372,0.25523192,0.2292552,0.20488714,0.18543251,0.17177658,0.16148955,0.15171896,0.1394351,0.12354168,0.10395312,0.08338388,0.06649821,0.058868837,0.063131995,0.07604455,0.0893238,0.09445399,0.0899061,0.08074957,0.074716486,0.07416374,0.077591084,0.08148423,0.08440912,0.08452401,0.080030344,0.07041031,0.05849026,0.048992377,0.04471473,0.045329306,0.04779425,0.049788285,0.04986943,0.049127534,0.050009534,0.058151167,0.077788115,0.107584454,0.13722672,0.1562655,0.16511361,0.17765714,0.20839883,0.25816378,0.3095726,0.3405598,0.33835134,0.31213418,0.28343055,0.27159378,0.2790971,0.29481983,0.30897132,0.31447315,0.30910933,0.28534657,0.24461417,0.19374764,0.14790188,0.11373817,0.09124732,0.07435057,0.06023779,0.048594803,0.040881705,0.037220012,0.037095536,0.0395377,0.043699536,0.048325002,0.051670264,0.0536086,0.0564471,0.0665003,0.088304706,0.12319731,0.16373132,0.19960745,0.21822935,0.21439373,0.1900792,0.1562336,0.12333425,0.097365886,0.077750735,0.06320482,0.053937644,0.051428307,0.05504334,0.06120969,0.0648512,0.061920017,0.052489612,0.04137001,0.03712979,0.048068132,0.07611025,0.11388663,0.14600427,0.15975855,0.15244955,0.13314256,0.11434547,0.10409848,0.103198744,0.107164614,0.11033971,0.10905381,0.10372398,0.09960985,0.1039559,0.12069336,0.1458127,0.16767465,0.17472805,0.16215654,0.13477522,0.102430046,0.07440193,0.055891093,0.047082618,0.04776247,0.06039838,0.09136852,0.14145973,0.19894715,0.2413764,0.2517175,0.23185734,0.2006163,0.17992432,0.17867272,0.19284642,0.20884842,0.21693707,0.21076025,0.19281149,0.16739295,0.14301498,0.12349861,0.10872177,0.0932684,0.07522051,0.05713165,0.04420422,0.03801179,0.036480498,0.03686061,0.038994197,0.045043904,0.055956304,0.06993142,0.08317846,0.09428517,0.10393352,0.11296156,0.11961154,0.12345275,0.12837023,0.14151442,0.16482687,0.19065702,0.20675416,0.20689535,0.19562192,0.18103445,0.1674395,0.15448491,0.14328541,0.13745229,0.13926941,0.14666186,0.15585329,0.1645056,0.17266631,0.17970425,0.18487991,0.18733342,0.18947272,0.19452852,0.20390625,0.21329086,0.21572419,0.20757838,0.19241953,0.17856276,0.17364646,0.17853405,0.18678695,0.18810625,0.18097235,0.17583333,0.18915683,0.22346385,0.26268676,0.281644,0.2688758,0.23323494,0.19723259,0.17703278,0.17520656,0.17894445,0.17460357,0.15315934,0.12002995,0.08603046,0.064089075,0.056561146,0.059279636,0.06279502,0.061987545,0.05544574,0.046374943,0.03826281,0.03410563,0.03385581,0.0352952,0.03495917,0.031470265,0.025669545,0.02052732,0.01838132,0.02088018,0.02762585,0.038923245,0.05592819,0.08356663,0.12401139,0.1753123,0.22591513,0.2646707,0.28366843,0.28545293,0.27574635,0.2617407,0.24787186,0.23687457,0.22690655,0.2119394,0.18637572,0.15383779,0.12726606,0.12239226,0.14420474,0.18347998,0.21764927,0.2261763,0.20138748,0.15560119,0.10867249,0.07588052,0.059699316,0.055711973,0.05822666,0.06466262,0.07505384,0.09227406,0.117569484,0.14782393,0.17239767,0.18150072,0.17119277,0.14908645,0.12574582,0.10978442,0.10187444,0.1005238,0.10449744,0.114578865,0.12753652,0.13652442,0.13480376,0.12261873,0.1056951,0.091060586,0.08543377,0.09490547,0.122499704,0.15996341,0.1906354,0.20051551,0.19263367,0.18238355,0.18181215,0.18686943,0.18487655,0.1694405,0.14782196,0.13166325,0.12731066,0.13220896,0.14097492,0.14763802,0.14882654,0.14350277,0.13592197,0.13090499,0.13082296,0.13242294,0.13292007,0.13308752,0.13752611,0.14721762,0.15757571,0.1605378,0.15381582,0.1413611,0.13169174,0.1277038,0.12749301,0.123800404,0.1143738,0.10204273,0.09712709,0.10659674,0.13076282,0.16005316,0.1856056,0.20336182,0.2158063,0.22353083,0.22571392,0.22254859,0.21967828,0.22249924,0.2307142,0.23877108,0.24151878,0.23872171,0.2321798,0.22409499,0.21417104,0.20082246,0.18134105,0.15626799,0.13052677,0.11065394,0.098724075,0.0916143,0.08571159,0.08135546,0.081061386,0.08572253,0.0919654,0.09574887,0.094347976,0.089875065,0.085845806,0.0863072,0.09116656,0.09798062,0.10222437,0.10160758,0.096687526,0.09123167,0.08932925,0.09297276,0.10068872,0.10832989,0.11145252,0.10861192,0.102279924,0.097370565,0.09558914,0.094480135,0.089526616,0.080627136,0.07134407,0.06542618,0.062477354,0.060424928,0.058076244,0.056236003,0.055811096,0.057917837,0.06329539,0.07175291,0.07983602,0.08358667,0.0810091,0.07586754,0.072906435,0.07481295,0.07820604,0.079132006,0.07545468,0.069784224,0.06517854,0.064946644,0.07082194,0.083729684,0.100724615,0.11601556,0.12357197,0.122772254,0.11762506,0.113115706,0.108890526,0.10127183,0.08708028,0.069627784,0.055469293,0.0504882,0.053811703,0.060218085,0.063243456,0.06107224,0.055867996,0.051960964,0.05183362,0.056453567,0.06593706,0.08073195,0.09974265,0.11939726,0.13416298,0.14022063,0.13898943,0.13656718,0.13924785,0.14740488,0.15623589,0.1594485,0.15586902,0.14637196,0.1333278,0.11563584,0.09564645,0.07812371,0.07447556,0.0957728,0.15147883,0.24056526,0.34906402,0.44996062,0.51564044,0.5317474,0.502397,0.44394588,0.37299833,0.303987,0.24867345,0.21540761,0.20304047,0.19949883,0.19164567,0.1738817,0.15311964,0.13694118,0.12797375,0.12043763,0.11159968,0.104646005,0.10692284,0.11987383,0.13877541,0.15879701,0.17987527,0.20215635,0.22092366,0.23041718,0.23415948,0.24395351,0.2688692,0.3012432,0.32234463,0.3149247,0.27846292,0.22711761,0.1831614,0.16306897,0.17009234,0.19011748,0.2017364,0.18924849,0.15458311,0.112497814,0.08122643,0.070159644,0.07813681,0.09402037,0.104346454,0.10016257,0.08271516,0.06119636,0.0463023,0.044149756,0.054727275,0.07338207,0.09297508,0.10696251,0.11150866,0.10737269,0.09736654,0.085156925,0.072789215,0.061768144,0.052323032,0.044800412,0.040447775,0.042825688,0.056488346,0.08432532,0.1237427,0.16725366,0.20422919,0.22745268,0.23289515,0.221991,0.19745274,0.16666625,0.13765419,0.11800846,0.10860721,0.10516,0.10132841,0.093584,0.08231237,0.07001487,0.05960944,0.05287293,0.050595056,0.05193096,0.05596218,0.061929155,0.07071813,0.08092816,0.089250915,0.0900228,0.08272978,0.071077324,0.061712075,0.05671024,0.054138478,0.050256316,0.04376462,0.036617197,0.032482848,0.035069358,0.047556084,0.072930574,0.11325709,0.16521826,0.21742654,0.25317344,0.26056007,0.24097146,0.20842592,0.18025011,0.166156,0.16388142,0.16282655,0.15204255,0.12781934,0.09501436,0.06395825,0.043458313,0.037231248,0.04152241,0.048699122,0.05114309,0.04842036,0.0468616,0.054444924,0.071964465,0.09239191,0.10792788,0.11569071,0.1174146,0.1136949,0.10539928,0.095769346,0.09151516,0.09516337,0.10287258,0.10775953,0.10874257,0.109884255,0.11466089,0.12066418,0.12362656,0.12483456,0.13188101,0.15310697,0.18741013,0.22358637,0.24542427,0.24381955,0.22216815,0.19413169,0.1739521,0.16796577,0.17223217,0.17657597,0.17099355,0.1512727,0.120447986,0.08764323,0.06289825,0.053163532,0.058404792,0.07326364,0.08895538,0.09863388,0.09855151,0.08959064,0.07450169,0.057885468,0.044773806,0.04020303,0.045799524,0.05831201,0.070468776,0.075938396,0.072548606,0.06312655,0.052121323,0.043925732,0.04203422,0.050438087,0.070858754,0.09998081,0.12748589,0.14207938,0.13774395,0.11757675,0.089793034,0.06270217,0.04139029,0.02797647,0.022642141,0.024160994,0.029808924,0.036585223,0.04243834,0.047133774,0.050952952,0.053722247,0.055566996,0.056546997,0.057134476,0.05699101,0.05922581,0.07004351,0.096354075,0.13716927,0.18174493,0.21380587,0.22097623,0.20045596,0.16072662,0.11713336,0.08635798,0.07658864,0.08453754,0.09677676,0.10145784,0.09498108,0.08286297,0.071977586,0.06500325,0.060346466,0.055101823,0.048164085,0.03990527,0.032353718,0.02800819,0.029376497,0.036970187,0.049086943,0.0633383,0.07950127,0.09981827,0.12589832,0.15527852,0.18104298,0.19533147,0.19322295,0.17491372,0.14540733,0.11285529,0.08633158,0.07314222,0.07642845,0.09321443,0.11469033,0.12939163,0.12915578,0.11373193,0.090492465,0.0689833,0.055033576,0.049158152,0.048926298,0.052364092,0.058304626,0.065327525,0.07039359,0.07039314,0.06389851,0.05263044,0.039892193,0.029124102,0.02228658,0.020375991,0.022989286,0.028864184,0.03604102,0.043322656,0.050994042,0.059844244,0.07013529,0.07947882,0.08442154,0.0816567,0.07221956,0.060869932,0.053606555,0.05224244,0.053397,0.051770736,0.04489689,0.03482507,0.025525996,0.019614995,0.016870275,0.015374915,0.0136608975,0.01190501,0.011672203,0.014418985,0.020014912,0.026821526,0.033064093,0.03903131,0.046957836,0.05835427,0.07137337,0.08178567,0.08813902,0.09322781,0.10027668,0.10634931,0.10402938,0.088763274,0.06506496,0.04301474,0.030413223,0.02785848,0.031335134,0.03681569,0.043505102,0.050565377,0.057265203,0.061342176,0.06503856,0.06911748,0.0741629,0.075941965,0.07666978,0.08141732,0.09490786,0.11070027,0.11743477,0.11046737,0.095868744,0.08535502,0.081377566,0.07966512,0.071003504,0.054554388,0.033999253,0.017229037,0.0075436817,0.0056424364,0.010047607,0.020067023,0.03670713,0.062725104,0.10381278,0.16043545,0.22275466,0.26717362,0.27350572,0.23842044,0.18105675,0.12598799,0.088623516,0.06911924,0.060443804,0.054942954,0.048432726,0.039210226,0.02841638,0.019808045,0.018895255,0.031094447,0.054070126,0.078467555,0.08930096,0.08232013,0.06293857,0.0446129,0.032581042,0.0262655,0.021971973,0.020856537,0.025538772,0.037110522,0.053434193,0.07121438,0.086211264,0.09366504,0.08970042,0.07596377,0.05880803,0.04532863,0.036891613,0.030799992,0.024047928,0.017126225,0.012390244,0.012108403,0.017538415,0.027673429,0.03895102,0.04539697,0.044973258,0.042470712,0.049623623,0.0734871,0.110179864,0.14375158,0.15913664,0.150762,0.12459441,0.09136116,0.06025808,0.038447123,0.030538455,0.039542973,0.062430162,0.09059325,0.11145354,0.11690699,0.10638931,0.08639059,0.064175494,0.046382446,0.040215164,0.055705387,0.098969996,0.16325949,0.22396259,0.25237295,0.23414725,0.18128939,0.12100152,0.07802636,0.060455903,0.06145373,0.06681142,0.0662266,0.059414666,0.056735724,0.07101042,0.10601065,0.15248261,0.19279502,0.21459019,0.21434464,0.19746506,0.16958255,0.13735537,0.105756186,0.07965614,0.059867937,0.045622025,0.035719622,0.031338386,0.034947224,0.0482424,0.07034251,0.095909774,0.11790187,0.13078116,0.13487594,0.1354812,0.13675012,0.138799,0.13662589,0.12954174,0.12027762,0.114343435,0.11077995,0.10589236,0.09732201,0.08811464,0.082634516,0.08167707,0.08390427,0.08813751,0.09591394,0.10736022,0.11959952,0.12657717,0.123381704,0.10910282,0.08698066,0.062598534,0.041332178,0.027116427,0.020722972,0.020515727,0.02387912,0.030080035,0.038498174,0.047781557,0.054418653,0.057720307,0.05898649,0.06071806,0.06094052,0.056542724,0.045782074,0.031907793,0.01933379,0.011041666,0.006845197,0.0052576084,0.004823941,0.0048908186,0.005545826,0.0073825754,0.010948911,0.015609787,0.019425346,0.02010698,0.01729803,0.013025664,0.010765501,0.013459419,0.022715762,0.039152298,0.062035456,0.08853007,0.11280358,0.127877,0.12929766,0.11746622,0.097382784,0.07504008,0.05545668,0.040786263,0.031005228,0.024218356,0.018776428,0.013935794,0.010072559,0.00731606,0.006066116,0.007596858,0.0151117155,0.030963084,0.053928297,0.07702693,0.09154316,0.09212158,0.080870666,0.06494921,0.05146216,0.042964596,0.037644908,0.03257675,0.026880732,0.02167768,0.018287262,0.01682098,0.017067699,0.020059334,0.027298823,0.039319187,0.052069377,0.059862975,0.05723332,0.04574542,0.0309847,0.021298947,0.021315651,0.032076392,0.049777657,0.06739872,0.07754191,0.0760768,0.065156296,0.05061738,0.0389653,0.033111945,0.03237624,0.033368547,0.033436067,0.03250887,0.032387357,0.0343281,0.036996115,0.038201336,0.036482994,0.03264762,0.02866552,0.026529944,0.02718947,0.02969026,0.032205187,0.033162154,0.033341154,0.034782145,0.038761158,0.04334341,0.044712547,0.040236555,0.031087838,0.021019846,0.0135073615,0.009489183,0.008070796,0.008073641,0.0091354875,0.011647434,0.016754046,0.026775917,0.04368544,0.066173375,0.08722446,0.09745263,0.0915972,0.072687104,0.04932718,0.029287161,0.015834793,0.008199644,0.0043864627,0.0026801361,0.0021103274,0.0021744396,0.0026421996,0.0033633795,0.0045076907,0.0069083385,0.012417345,0.02264864,0.037697542,0.054444414,0.067699306,0.07221004,0.06678683,0.056045573,0.04905745,0.053093802,0.06798935,0.08586922,0.096565574,0.09486752,0.08192863,0.06413992,0.047441404,0.035619695,0.028050872,0.022532985,0.016977794,0.011335759,0.0066698156,0.0037397668,0.0024534317,0.0021154815,0.0021469742,0.0022607066,0.0024075184,0.002635356,0.0028954835,0.0030605246,0.0029904433,0.0031267991,0.004541932,0.008744728,0.015523638,0.022633992,0.026047492,0.024055138,0.017940512,0.011795297,0.008310593,0.007890514,0.008702635,0.009087508,0.008387179,0.007163245,0.0067672897,0.009275574,0.016705317,0.029575132,0.044936817,0.05784778,0.06527549,0.07029473,0.08029436,0.09917577,0.12251034,0.13832717,0.13900208,0.1255344,0.10903817,0.097977035,0.094344445,0.09141934,0.08413347,0.07246894,0.061365183,0.053736325,0.04797399,0.04099079,0.03187385,0.02344305,0.018273735,0.017399987,0.01938738,0.023325851,0.029431954,0.0400361,0.058306754,0.08678183,0.12424835,0.16377945,0.19415839,0.20565183,0.19706827,0.17663057,0.15671925,0.14313741,0.13394816,0.12191833,0.10542244,0.08671955,0.0717211,0.061856356,0.05726162,0.05591312,0.056619614,0.056612328,0.052912887,0.044338625,0.03348503,0.024731437,0.020834902,0.021503767,0.026540287,0.037166808,0.05511451,0.078529164,0.10308367,0.12357437,0.13670942,0.13926108,0.13111259,0.11649453,0.1052396,0.10532719,0.11759011,0.1354645,0.15017343,0.15786923,0.1577748,0.15144037,0.13747635,0.11683204,0.093414605,0.073982336,0.061401274,0.05245327,0.042403,0.030712342,0.023331856,0.02843377,0.049216885,0.07970492,0.10484279,0.11129502,0.095750034,0.0691623,0.047563355,0.042518407,0.055285886,0.07842042,0.10185301,0.11739323,0.12170427,0.114924975,0.09860941,0.07588073,0.050789297,0.02899479,0.0136548085,0.00552091,0.0028993182,0.0048439666,0.011351139,0.020981437,0.030128827,0.033361394,0.0290827,0.019502979,0.010454099,0.0063402434,0.010626472,0.024715321,0.04705314,0.07061715,0.08482189,0.08249103,0.064914875,0.04120891,0.020939587,0.009141037,0.005305371,0.0065946076,0.010562551,0.016372511,0.024785006,0.03568311,0.047060367,0.054491043,0.05559932,0.05120957,0.046711374,0.047856912,0.059601728,0.08137115,0.1068025,0.12462538,0.12680288,0.11411554,0.09555468,0.08114167,0.07461537,0.07464909,0.07730556,0.08082513,0.08366222,0.08589726,0.08784736,0.0899343,0.09042553,0.08527849,0.07274541,0.055012863,0.039258353,0.031496793,0.035305757,0.04802524,0.063433886,0.07245809,0.07042425,0.058611874,0.044816066,0.035347678,0.032379758,0.03284636,0.034420323,0.03657504,0.040562626,0.045599792,0.049769793,0.05147693,0.0524231,0.05568132,0.06341341,0.07280008,0.078083724,0.073846385,0.06157838,0.048598226,0.043714657,0.049084622,0.059730392,0.06816157,0.07160943,0.07262511,0.075060464,0.07967272,0.08483785,0.088151336,0.087599576,0.0805968,0.06654783,0.04791831,0.030476233,0.018651841,0.013741286,0.0135913,0.0154804615,0.018605761,0.025289917,0.040595952,0.0664575,0.098765396,0.12590963,0.13833188,0.13258128,0.11483747,0.09312344,0.07542256,0.06438676,0.05959314,0.055875212,0.049212385,0.038047176,0.026210397,0.017962605,0.015881792,0.018020654,0.021108404,0.02223674,0.021799063,0.020974286,0.020787735,0.019768843,0.016956266,0.012306628,0.0077495743,0.004493292,0.0029241436,0.0023565693,0.0022694117,0.0022476322,0.002120572,0.0018394352,0.0015476596,0.001393485,0.0013981843,0.001428335,0.0013775668,0.0012539377,0.001160189,0.0011409473,0.0011336164,0.0010304094,0.00079699437,0.00050955184,0.00028833663,0.00021765385,0.00028644345,0.00041484935,0.0004906655,0.0004688926,0.0003848368,0.0003480567,0.00040904232,0.0005334145,0.0005995343,0.0005481096,0.000405174,0.00028407594,0.00024562306,0.0002801567,0.0003089395,0.00029221902,0.00024236857,0.00021108663,0.00021593139,0.00023211648,0.00022124073,0.00017762026,0.00013193309,0.00011424074,0.00012601637,0.00013940358,0.00013120292,9.990829E-05,6.5095664E-05,4.3102584E-05,3.751479E-05,4.0088216E-05,4.2669933E-05]