[0.014891731,0.022060314,0.043709908,0.08708153,0.15099491,0.22012855,0.26360008,0.25968814,0.20804252,0.13563518,0.07143911,0.03704831,0.039574478,0.0819459,0.15319954,0.22992091,0.27750865,0.27993122,0.2432251,0.19374548,0.1492639,0.11891382,0.10496759,0.114736594,0.150316,0.20045173,0.23948987,0.2449286,0.21222444,0.15876502,0.112437986,0.09913004,0.12985952,0.19498104,0.26495758,0.3078721,0.30815175,0.27623755,0.23517092,0.20338696,0.18488073,0.17552869,0.17084521,0.16922168,0.16907303,0.16600949,0.15464185,0.13118958,0.09840721,0.063688844,0.038112458,0.031340875,0.050655257,0.09489197,0.15120174,0.19750603,0.21533667,0.2026004,0.17272024,0.14489828,0.1307636,0.13158004,0.138842,0.14148706,0.13177547,0.11027014,0.08592382,0.07256266,0.08258644,0.11843949,0.16829431,0.21020187,0.22607763,0.2107567,0.17323284,0.12660725,0.082606755,0.04751843,0.02409328,0.011903465,0.009811009,0.017385455,0.034232017,0.058260184,0.084777616,0.10783393,0.12147433,0.12039476,0.103000365,0.073919885,0.043672655,0.022581661,0.015651643,0.024164522,0.050610524,0.10197494,0.17954397,0.26873127,0.3362793,0.3514851,0.30887377,0.23590092,0.17426795,0.15284938,0.17340426,0.21323116,0.24415119,0.24971245,0.23422094,0.21397851,0.20180619,0.19790284,0.19184089,0.17443825,0.14325318,0.10607172,0.07459792,0.061442513,0.07010446,0.093037695,0.11169403,0.11144921,0.090444334,0.06287966,0.04695547,0.052906264,0.077482946,0.106040925,0.1254229,0.13083541,0.1304655,0.13277692,0.13885993,0.13929136,0.12557915,0.097557366,0.06425241,0.0356195,0.01851339,0.015342813,0.028688839,0.05785954,0.10010862,0.14595498,0.18750453,0.21546704,0.22634357,0.21889466,0.20207603,0.18823034,0.18784602,0.19972014,0.21392882,0.2190543,0.20938124,0.18602566,0.15479396,0.122335486,0.093409084,0.06927932,0.049266238,0.034347422,0.029336184,0.0435763,0.08312237,0.14606327,0.2175461,0.28023303,0.31851456,0.3257043,0.29860702,0.24270315,0.17041488,0.10126852,0.049763437,0.020671492,0.008988956,0.008262142,0.015220824,0.029044667,0.04838397,0.06897756,0.08580915,0.09484264,0.09417117,0.084345065,0.06743231,0.048065964,0.030309932,0.01757858,0.0100649595,0.007037573,0.0066645523,0.0075464286,0.009675757,0.015907288,0.032237567,0.06064436,0.09508517,0.11932248,0.12102759,0.09853036,0.064942464,0.034272593,0.015017018,0.0060119443,0.0031713883,0.0025996268,0.0028332265,0.003742968,0.0074776127,0.019892743,0.050727908,0.106675744,0.18030286,0.24819018,0.28288567,0.27650994,0.2423168,0.20560353,0.17757863,0.15894514,0.14153852,0.1253182,0.11009247,0.09704868,0.08216326,0.06403148,0.043835655,0.026160859,0.015308118,0.014363643,0.025803437,0.04790099,0.07332332,0.08885026,0.08618766,0.06668273,0.04260074,0.02665695,0.027587846,0.045992006,0.07692483,0.109737776,0.13297766,0.13812594,0.12554576,0.10481959,0.0914183,0.09548756,0.11431555,0.1332922,0.14043553,0.13681102,0.13322957,0.13699895,0.14299,0.14165546,0.12727101,0.10370416,0.07699077,0.05248632,0.03260777,0.019815933,0.0162955,0.02543354,0.050867766,0.096550226,0.15964472,0.22892947,0.28513548,0.31388247,0.31087053,0.2837797,0.24260826,0.19728489,0.15474372,0.122098416,0.1037622,0.10124582,0.10998851,0.121017836,0.12442139,0.11513042,0.0949909,0.07015045,0.0467008,0.02828522,0.015996369,0.010507673,0.013930933,0.030759605,0.06174791,0.09895449,0.12469739,0.12495097,0.099204056,0.062357843,0.031353664,0.016247753,0.018722225,0.03764675,0.06939999,0.105989076,0.13495664,0.14660136,0.1395197,0.12102885,0.10032467,0.08388633,0.074763305,0.07580009,0.088631116,0.11196873,0.13847972,0.15989964,0.17091481,0.1733209,0.17210667,0.17068607,0.1692806,0.166007,0.16152924,0.15645535,0.1510147,0.14285195,0.1316834,0.11903726,0.1071861,0.09515425,0.081745215,0.069135085,0.066813596,0.08514405,0.12762061,0.18219347,0.22866416,0.2504551,0.24818839,0.23287414,0.2152146,0.19582176,0.17201118,0.14386721,0.11524322,0.08902887,0.065163404,0.043979853,0.027018642,0.017252635,0.016185144,0.024232933,0.038237944,0.052333634,0.05850986,0.053253684,0.03901976,0.02375629,0.013940477,0.012080442,0.016148077,0.024213338,0.037472192,0.061648253,0.100296445,0.14849536,0.19089472,0.21245831,0.2076339,0.18209255,0.14507256,0.10422938,0.06708754,0.04263322,0.040793326,0.064884774,0.10846766,0.154027,0.18406336,0.18871705,0.1717182,0.14201109,0.10860604,0.075930886,0.04763813,0.026198132,0.013079282,0.0068561085,0.0051088803,0.006433544,0.011709056,0.023147905,0.04078876,0.061842233,0.080005765,0.09001794,0.088330574,0.07687162,0.061072934,0.049746767,0.049654786,0.06385296,0.087462686,0.11065849,0.12011967,0.11200699,0.095857404,0.096501805,0.13280305,0.20133924,0.27109095,0.3064026,0.29503492,0.25446272,0.21490352,0.19252664,0.1842631,0.17646849,0.15898558,0.13026561,0.09475712,0.062175017,0.043862004,0.053550955,0.097124785,0.16817474,0.24239258,0.29309556,0.30338356,0.27774724,0.23163502,0.18151593,0.13578191,0.096884824,0.06511839,0.040527083,0.02440145,0.017961534,0.023868492,0.042476535,0.07075072,0.09962631,0.12032911,0.12958528,0.13263254,0.13692617,0.14443634,0.150405,0.14815259,0.13676427,0.12178854,0.110984705,0.10827085,0.1105689,0.11227515,0.109953195,0.10764303,0.111994594,0.12612061,0.14315759,0.15122057,0.14167693,0.116351075,0.08387685,0.05372424,0.030609744,0.015713675,0.007634588,0.004387051,0.0036011199,0.0036530115,0.0037702539,0.003839529,0.003894819,0.0047973846,0.00942698,0.023495546,0.051572382,0.091819845,0.13240169,0.15826826,0.15985283,0.13958351,0.10691895,0.072681494,0.043566275,0.023359535,0.0132070305,0.013524339,0.022783339,0.037015438,0.049541354,0.0553706,0.055973988,0.059803028,0.074899234,0.101330794,0.1292915,0.1463085,0.14405866,0.123148195,0.0905973,0.05729376,0.03383523,0.030327057,0.05425021,0.105480395,0.17091249,0.22833152,0.26195684,0.27243146,0.27191475,0.26738015,0.25595194,0.23073386,0.19124514,0.14278142,0.09422325,0.053255733,0.025323555,0.010531477,0.005924659,0.007944387,0.015790762,0.029222226,0.048419774,0.07409731,0.108046256,0.14784719,0.18180047,0.19348331,0.17385341,0.13158892,0.08741828,0.06105477,0.06067915,0.082563065,0.116885215,0.15108007,0.17391507,0.17707509,0.16024095,0.13101695,0.10206758,0.08297196,0.07550462,0.07398038,0.07124627,0.06375577,0.05376233,0.04714198,0.050369028,0.06604824,0.09112942,0.11670049,0.13356519,0.13684891,0.12941636,0.11742902,0.10559996,0.09374548,0.07987169,0.063362755,0.0463365,0.031345498,0.019865563,0.012010827,0.008311974,0.011042408,0.024202717,0.04961719,0.081635505,0.107053004,0.11276376,0.09686935,0.06980456,0.047698442,0.041861057,0.057454884,0.09228611,0.13759959,0.17582935,0.18920644,0.1694399,0.12552284,0.075928256,0.037488874,0.016907841,0.013006735,0.021402648,0.03803217,0.059844006,0.08510325,0.11228567,0.13704999,0.15163012,0.14881903,0.12991218,0.105682254,0.0904727,0.09095513,0.1026301,0.11382028,0.11507725,0.10414683,0.08502511,0.06505331,0.052007362,0.053561747,0.07077405,0.09690603,0.11667324,0.11948057,0.10494942,0.08774805,0.08656902,0.11288273,0.15848736,0.19852924,0.20752877,0.1795038,0.12991947,0.082313925,0.049887925,0.035290197,0.037044123,0.05781305,0.098332085,0.15210359,0.20293014,0.23469584,0.23951793,0.22129744,0.19002576,0.15533386,0.12330041,0.09605864,0.07370859,0.054718763,0.03829066,0.02444153,0.015769066,0.016400421,0.033540267,0.07157797,0.12876356,0.18901272,0.2324208,0.24301146,0.22405104,0.18806751,0.1500025,0.1147314,0.08446446,0.06212965,0.05316921,0.057915047,0.06897479,0.07578203,0.07205046,0.058988735,0.04190278,0.026081057,0.014248674,0.0076016127,0.008111511,0.020405559,0.049719516,0.09403065,0.14031343,0.16871315,0.1684801,0.14449027,0.11429625,0.09290841,0.08737772,0.095567584,0.1125983,0.13134938,0.14683329,0.1554768,0.15729028,0.15107347,0.13580355,0.11095411,0.080775365,0.05225723,0.03360823,0.030787101,0.047639888,0.0807889,0.121343754,0.15543695,0.17668408,0.1840807,0.18205468,0.17127097,0.15454222,0.13701962,0.12498122,0.11775126,0.10797598,0.08949018,0.064790435,0.043943007,0.036197007,0.042158056,0.053574532,0.060183432,0.058462013,0.05375111,0.053522956,0.059731986,0.06659248,0.06788557,0.06135532,0.050119925,0.037389982,0.02575207,0.01636942,0.010652875,0.009641907,0.014550646,0.026628837,0.045148823,0.065201126,0.07794243,0.0763321,0.062242214,0.047836304,0.05024122,0.07817517,0.12516563,0.16943197,0.18896042,0.17415749,0.13339972,0.0848222,0.044141073,0.018525617,0.0061312504,0.0020257717,0.0012378683,0.0014658854,0.003437198,0.010519791,0.027628029,0.05498591,0.08848151,0.12087006,0.15051366,0.17646141,0.19362353,0.190259,0.15991034,0.11105607,0.06204213,0.028047932,0.011189044,0.0058316053,0.0060408115,0.010863844,0.021140086,0.03570631,0.05023544,0.061095167,0.06935815,0.07849517,0.08897308,0.09539602,0.094088264,0.090236716,0.09738042,0.1253212,0.17008097,0.2156111,0.24473453,0.250093,0.23369092,0.20339866,0.16732484,0.13643846,0.120806195,0.12715872,0.15077437,0.18010531,0.20205607,0.2109353,0.2064203,0.19091262,0.16603038,0.13399528,0.098885894,0.06569202,0.03892697,0.020281218,0.009472021,0.004809743,0.0061141923,0.016466606,0.040531445,0.07965035,0.124720335,0.16034216,0.17339604,0.16650416,0.15313493,0.14919515,0.15762115,0.1722311,0.18139146,0.18124676,0.17375334,0.16600627,0.16025259,0.15423852,0.14361034,0.12832393,0.11228251,0.098991334,0.088092774,0.077306785,0.06616075,0.057821143,0.05589965,0.061222073,0.070881754,0.08061855,0.0881099,0.0924901,0.09356249,0.089895256,0.082381256,0.07635978,0.0823496,0.10860782,0.15279262,0.19832812,0.22360432,0.21618676,0.18164913,0.13658918,0.09662781,0.067102455,0.046966568,0.03531589,0.03697491,0.059025276,0.10167637,0.15290208,0.19160156,0.20325427,0.18751974,0.15737632,0.12569572,0.0995912,0.0795846,0.06399428,0.05047716,0.038177785,0.030177442,0.034374017,0.058953892,0.104273535,0.15848017,0.20184718,0.21965294,0.21020538,0.18417531,0.15374781,0.12591946,0.10113465,0.07794842,0.055929895,0.036654167,0.022234181,0.0137591595,0.010160078,0.009075506,0.008387876,0.009018428,0.016370997,0.04004136,0.08584604,0.14700298,0.20098157,0.22346522,0.20574975,0.16173512,0.11574892,0.08555954,0.07583199,0.08171737,0.096341066,0.112100594,0.12261496,0.12334043,0.114700176,0.10078263,0.08696584,0.07720245,0.07310909,0.07503238,0.0816567,0.09070664,0.0986594,0.10250028,0.10063025,0.09314501,0.081306644,0.06744485,0.05644728,0.056212127,0.074798346,0.11354094,0.16248888,0.20356517,0.22182018,0.21457279,0.19139655,0.16599046,0.1486402,0.14460532,0.1552609,0.17784537,0.20404023,0.22129877,0.21994562,0.19903457,0.16730124,0.13627768,0.11421487,0.10330579,0.100606434,0.10039509,0.096447445,0.08627195,0.07104724,0.05468394,0.039402053,0.026399663,0.015851786,0.00852954,0.004401552,0.003360979,0.005500943,0.012051735,0.02323941,0.038361724,0.055752754,0.075103275,0.09389445,0.10627308,0.103964865,0.084999435,0.056150604,0.02926071,0.011872704,0.0047520907,0.0050869347,0.011041325,0.022748342,0.038718607,0.054669723,0.063490964,0.061379496,0.049855843,0.037296165,0.032924972,0.044107694,0.07112747,0.10878954,0.14629321,0.17429519,0.1871153,0.1865155,0.17740725,0.16533184,0.15224916,0.13718851,0.11837859,0.09580297,0.07216213,0.051025987,0.03549162,0.026755504,0.024560384,0.027832815,0.035269022,0.04498996,0.054014206,0.05931769,0.060407307,0.05990745,0.061396167,0.065059386,0.06814001,0.06802074,0.06668556,0.06780189,0.07232005,0.07508572,0.07031254,0.056767564,0.039491367,0.024534963,0.015048147,0.011021267,0.01187444,0.018168082,0.030401984,0.047189474,0.06352967,0.07301664,0.071328424,0.05959544,0.043039974,0.027523024,0.016692935,0.011945658,0.013335126,0.020284846,0.03335048,0.056665976,0.09677646,0.15407024,0.21497273,0.2554414,0.2593123,0.23139106,0.1932106,0.16338027,0.14625399,0.13623168,0.12823328,0.120700024,0.111205794,0.09612241,0.07484396,0.05330473,0.03949961,0.037059844,0.042379733,0.049110997,0.053039577,0.055477247,0.06067279,0.07362587,0.09464697,0.11981525,0.13993287,0.14922452,0.14592735,0.13753079,0.13051404,0.13111645,0.13707791,0.14630361,0.15400374,0.15938467,0.16002007,0.15506619,0.1442939,0.13065118,0.11785992,0.10708496,0.096825026,0.08496482,0.07218915,0.06167245,0.057632547,0.06252445,0.07589361,0.093382835,0.11010251,0.122014426,0.12930937,0.13302583,0.1346817,0.13322447,0.12747158,0.11722321,0.10452584,0.091670625,0.07890316,0.06469671,0.04854186,0.03256731,0.020688586,0.016151197,0.021973072,0.040510986,0.072066344,0.109755315,0.14047974,0.1500836,0.13453531,0.10227262,0.070658885,0.053748313,0.05616121,0.07178775,0.090593286,0.10417833,0.109136604,0.10644538,0.09907567,0.089953415,0.07986421,0.06873199,0.056372363,0.044438202,0.0343065,0.026728751,0.020856045,0.016697679,0.0155184455,0.020153651,0.03188299,0.0480759,0.061608493,0.06658734,0.06477231,0.06722193,0.08423927,0.11492314,0.1444649,0.15679508,0.1463693,0.12100988,0.09277355,0.06917218,0.051566467,0.038267776,0.02879028,0.024210392,0.025921458,0.03337127,0.043564226,0.052947763,0.059060615,0.06144887,0.060667735,0.05793008,0.055167675,0.054951236,0.06031589,0.07173258,0.086828746,0.099628665,0.10771516,0.11307249,0.1241709,0.14624643,0.1791149,0.21228957,0.23277374,0.2296211,0.20258762,0.16002856,0.1148907,0.07717319,0.05344787,0.04851982,0.065801926,0.10243229,0.14544827,0.17720032,0.18605207,0.17441046,0.15272294,0.13072498,0.10999357,0.08856063,0.06492042,0.042012632,0.024293661,0.015222182,0.014835269,0.019957915,0.02629135,0.030469194,0.031804714,0.030925505,0.028995506,0.027013958,0.028127545,0.03658135,0.05579703,0.08269022,0.10923367,0.12529118,0.12682778,0.11521631,0.09592393,0.07296988,0.050396886,0.0325323,0.02473819,0.029119661,0.04342718,0.061238836,0.07698396,0.08693234,0.09036615,0.08711174,0.07833206,0.06548046,0.05066136,0.035696186,0.022428619,0.012391786,0.006184544,0.0031918178,0.0020620462,0.001695626,0.0015579184,0.0022707619,0.0057076067,0.01486181,0.030108154,0.047259837,0.05760104,0.056181725,0.046748016,0.042046424,0.05236752,0.0763006,0.09925923,0.10509998,0.08883376,0.059466172,0.03138781,0.01324685,0.0051914887,0.00326729,0.0058032926,0.015679399,0.037433628,0.070868336,0.106096424,0.12829019,0.12956904,0.11903884,0.11575534,0.13317005,0.16713054,0.20154385,0.2205466,0.21731019,0.19433133,0.16023044,0.12546878,0.097956024,0.079079054,0.06626467,0.05633634,0.05041765,0.051172476,0.06035912,0.07538351,0.09010548,0.09851077,0.09790432,0.09147411,0.08359409,0.078027785,0.07625701,0.082800314,0.100717746,0.12748323,0.14942081,0.15386152,0.13694288,0.10979798,0.0867739,0.08108285,0.09503808,0.123571016,0.15151542,0.16740088,0.16626541,0.15619117,0.14646573,0.14366865,0.14793187,0.15827286,0.1759307,0.19992773,0.2247464,0.23776938,0.23057705,0.20293051,0.16438985,0.12474515,0.090002604,0.061710905,0.03999772,0.024743086,0.015454697,0.011106651,0.010867673,0.01421994,0.02143308,0.03146675,0.0419414,0.048516024,0.048886422,0.04400739,0.038968705,0.038986128,0.046268433,0.058644682,0.071749486,0.08342295,0.0943844,0.10608334,0.115819275,0.11822759,0.10960022,0.09296754,0.07576539,0.065123655,0.06332603,0.067992985,0.07410242,0.07698087,0.07444187,0.068004705,0.062002946,0.061821427,0.07021567,0.0853312,0.10125328,0.112661906,0.119018584,0.12233925,0.12326271,0.11763191,0.10206636,0.077473395,0.05106694,0.031178279,0.024449361,0.03304011,0.05531484,0.084916346,0.113082744,0.13035594,0.13129525,0.11596038,0.090366326,0.062591456,0.039121624,0.022507468,0.01217445,0.0063455873,0.0033667523,0.00208753,0.0018015542,0.002401066,0.0041949865,0.008144502,0.014909635,0.025092423,0.03716122,0.048699174,0.05528565,0.05463156,0.046126623,0.03341097,0.020504732,0.0112060895,0.006137037,0.0044183037,0.0044939346,0.005954653,0.009040247,0.013867895,0.020269452,0.028819209,0.041518852,0.05908881,0.078883745,0.09441191,0.1012327,0.09935734,0.09349675,0.08693466,0.080013074,0.070554055,0.05791661,0.04394869,0.03282448,0.028923163,0.035422903,0.051339537,0.07175752,0.08863726,0.09718763,0.09643831,0.0908269,0.08419478,0.080449976,0.079938315,0.08236903,0.08498287,0.08611042,0.08387417,0.077948175,0.068643264,0.05940273,0.05530661,0.05958252,0.06922663,0.07642895,0.07479438,0.06401352,0.049038623,0.03552343,0.026940739,0.025087612,0.03141583,0.046899095,0.06889531,0.09047857,0.10235629,0.10000256,0.085196674,0.0652229,0.045885805,0.031509697,0.024887813,0.031971853,0.056902003,0.099256136,0.14588153,0.1795318,0.18451577,0.1612555,0.12018177,0.07787395,0.043957707,0.022288108,0.011410322,0.009942402,0.016663069,0.03155716,0.055635165,0.091545224,0.13810073,0.18587448,0.21652119,0.21550786,0.1828648,0.1350616,0.09318373,0.07155099,0.073779054,0.093915515,0.12093129,0.14249612,0.15215348,0.15075023,0.14448953,0.13795058,0.13154306,0.12274312,0.109280884,0.091677986,0.07263098,0.05719779,0.050075218,0.055036794,0.07169145,0.09632506,0.12124797,0.13887578,0.14395349,0.13690941,0.12312147,0.10942155,0.10051247,0.09586113,0.092894495,0.089685224,0.087993324,0.09028997,0.095674686,0.09889955,0.09330913,0.07748789,0.056578856,0.039976988,0.03386317,0.03776365,0.045488734,0.05126815,0.05392698,0.057810705,0.069965705,0.09590942,0.13541429,0.17898162,0.21197367,0.22134763,0.2050047,0.17099537,0.13446645,0.111043714,0.11066139,0.13285694,0.16200377,0.17886049,0.1697249,0.14151935,0.11167157,0.10056842,0.11498431,0.15178947,0.19754541,0.2381584,0.25996283,0.25952294,0.24198127,0.21865891,0.19599946,0.17513263,0.15442155,0.13460499,0.11748034,0.104331546,0.09567497,0.09258041,0.09568963,0.10276902,0.10851062,0.10818207,0.10164865,0.093331926,0.08681484,0.081852876,0.07555116,0.0687833,0.06709167,0.07653177,0.09725991,0.12205986,0.14237696,0.1522839,0.15180789,0.14218841,0.12565167,0.103136145,0.07721353,0.051992208,0.03563646,0.039602045,0.07545296,0.14224167,0.22049077,0.27639768,0.28801814,0.25912806,0.21723954,0.18687083,0.17565973,0.17522715,0.17514001,0.17044403,0.15979844,0.14332272,0.120551884,0.09477535,0.07272429,0.06472637,0.07707212,0.107263096,0.14184058,0.1650209,0.16799527,0.1539424,0.13218,0.11157972,0.09709489,0.09137554,0.09432694,0.10174194,0.1064829,0.10284778,0.09062933,0.073796555,0.056918204,0.04220274,0.029998308,0.020706559,0.015578599,0.015802873,0.020396166,0.026253501,0.030027831,0.0312691,0.031864364,0.03378552,0.036134843,0.03722989,0.037729423,0.043283608,0.062467437,0.10121747,0.15639128,0.21278232,0.24947691,0.25299227,0.22701824,0.18988188,0.15979041,0.14375763,0.13613069,0.12815239,0.11536939,0.09923474,0.08318473,0.06924637,0.058207612,0.052296713,0.05511387,0.06961217,0.09236682,0.11601031,0.13257773,0.14186384,0.14803684,0.1556359,0.16222301,0.16245241,0.15178734,0.13184966,0.10698939,0.08384564,0.06840382,0.06733393,0.08311665,0.111525916,0.14027916,0.15625633,0.15364452,0.13763095,0.119448535,0.10772551,0.10434412,0.10578271,0.107788436,0.10679719,0.101028524,0.09044796,0.07857374,0.07037105,0.069704525,0.076932706,0.09094471,0.111247964,0.13651687,0.16182102,0.17865749,0.18226911,0.1771835,0.17493398,0.18465614,0.20508587,0.22770172,0.24232835,0.2444343,0.23411597,0.21587493,0.19455065,0.17362183,0.15334381,0.13235585,0.10965983,0.08592955,0.06306938,0.04365514,0.030216737,0.02505254,0.028974706,0.0411569,0.05748106,0.0721788,0.07844161,0.07322154,0.058247164,0.041055124,0.030219791,0.030638134,0.04012944,0.050816715,0.05533873,0.051054705,0.041739624,0.03301414,0.03048711,0.038341288,0.06085835,0.09744799,0.13939993,0.1703918,0.17959826,0.17081106,0.1605853,0.16192003,0.17359008,0.18323646,0.1806152,0.16473417,0.14192471,0.119368345,0.102658056,0.094477974,0.09385186,0.09561485,0.093209974,0.08323617,0.06695973,0.048957046,0.033760548,0.02539309,0.027314434,0.041802187,0.06707858,0.09670184,0.1234845,0.14455062,0.16154428,0.17479874,0.18070495,0.17447042,0.1575735,0.13719083,0.12286616,0.11879013,0.12391657,0.13155568,0.13466716,0.12734629,0.10981393,0.08771303,0.07202137,0.07129797,0.08761846,0.11240918,0.13333833,0.14002956,0.1313022,0.11203623,0.089798175,0.0689827,0.051591992,0.037896942,0.028418615,0.022992149,0.020791003,0.021179775,0.024584517,0.032326207,0.04359119,0.05540384,0.06344535,0.06726757,0.069192894,0.07258906,0.076384194,0.07737131,0.072773896,0.0638526,0.05404063,0.046555627,0.04260343,0.04130985,0.041025903,0.04078672,0.041592553,0.04527456,0.052614126,0.06169905,0.069890775,0.07488489,0.07612605,0.0727697,0.0646682,0.052184995,0.037823092,0.024675064,0.015766084,0.01226974,0.013567549,0.017648317,0.023427054,0.03204513,0.045518205,0.062347233,0.075737394,0.07747022,0.06622168,0.049743786,0.0407557,0.045746773,0.062068105,0.07859969,0.08658583,0.08353103,0.07551152,0.06943439,0.068380065,0.06982443,0.0698867,0.067283966,0.063299604,0.05949752,0.05753434,0.060498953,0.07427323,0.10117438,0.13536322,0.16180621,0.16691947,0.14741908,0.112003125,0.07385738,0.04281475,0.02631778,0.0319567,0.069056384,0.13538425,0.2112356,0.26225585,0.26659596,0.22795862,0.17231588,0.1227197,0.08732515,0.062296852,0.0427168,0.027592098,0.017503051,0.012838935,0.012403683,0.014231913,0.016021123,0.016419249,0.016695654,0.021063194,0.036255285,0.06617602,0.10857115,0.15265715,0.18655229,0.20246617,0.20147787,0.1886326,0.17016311,0.14868708,0.12505162,0.09960481,0.07674701,0.06360401,0.06543442,0.07998794,0.09760522,0.107855655,0.105229564,0.09117919,0.07086942,0.05013818,0.0335315,0.023367614,0.019819997,0.022332033,0.032057934,0.052457318,0.08301293,0.115004025,0.1314084,0.12177289,0.0894619,0.051727742,0.02348102,0.010477096,0.01044071,0.022450129,0.048827063,0.08907455,0.13434203,0.16896854,0.1824321,0.17625926,0.16358352,0.15568167,0.15450893,0.15080343,0.13559084,0.1069369,0.073303245,0.04500277,0.02892345,0.02527254,0.03227758,0.047629386,0.068979,0.09172615,0.110601425,0.12223536,0.1265229,0.12549688,0.120002486,0.10960717,0.09321032,0.07213688,0.050019205,0.0316518,0.02018187,0.015937028,0.017113216,0.021723062,0.029152462,0.039392278,0.05107974,0.059824556,0.060647666,0.051883485,0.03785687,0.025949083,0.020994931,0.022292206,0.02493948,0.025808997,0.025858907,0.030774293,0.04446579,0.06716939,0.093017496,0.116168715,0.1316014,0.13780941,0.1331493,0.117700346,0.09334701,0.06663421,0.04706857,0.045133382,0.06725347,0.1103938,0.16123806,0.200837,0.21738817,0.20947762,0.1856895,0.15371801,0.11987867,0.08740416,0.060046438,0.03963532,0.02643502,0.019093188,0.016017476,0.015469764,0.015716152,0.015711837,0.015925797,0.017876917,0.022034863,0.026600264,0.028246252,0.025646335,0.020611128,0.017755644,0.021451486,0.03558298,0.062077135,0.101618744,0.15150054,0.20558293,0.25134522,0.27346244,0.26076844,0.21670254,0.15770234,0.10332692,0.063924424,0.03991211,0.026621273,0.020558512,0.020140164,0.024986079,0.033494074,0.042470068,0.048488516,0.052720904,0.061926723,0.08567318,0.12504877,0.17003442,0.20104675,0.20680858,0.18801932,0.15933208,0.13187191,0.11179987,0.0963299,0.08386576,0.07219411,0.061581563,0.05134758,0.042571384,0.036785785,0.036481187,0.042603478,0.053720307,0.06551363,0.07237192,0.07057189,0.060486402,0.047366325,0.03680786,0.03165885,0.02951256,0.027182385,0.022794878,0.017871775,0.015189772,0.018575093,0.032205965,0.057822064,0.09266752,0.12893505,0.1578831,0.17312168,0.17174673,0.15720041,0.13720016,0.122651815,0.11777133,0.11995519,0.1202321,0.11227322,0.09439791,0.07124265,0.049756315,0.035807434,0.030724144,0.03264265,0.04058301,0.05780387,0.08949083,0.13828667,0.19820683,0.2555354,0.2917912,0.29434717,0.26229537,0.20749919,0.1472675,0.09559086,0.061190605,0.047961343,0.057750154,0.08792901,0.12841918,0.1657407,0.18773635,0.19345541,0.18716727,0.176461,0.16288666,0.14636236,0.12535687,0.101532124,0.07832157,0.059414443,0.046624105,0.0394318,0.03705224,0.038285572,0.04136398,0.042500332,0.04000835,0.036885697,0.04222217,0.06274768,0.09532863,0.12449642,0.13314901,0.11550331,0.08111624,0.046636727,0.023821509,0.016473526,0.023773337,0.0438284,0.07110814,0.0955722,0.10671088,0.102086924,0.08742425,0.07158572,0.05800503,0.046381425,0.034927648,0.024533277,0.016092604,0.010465668,0.0074197645,0.0071555935,0.0093293,0.013337676,0.017984042,0.022190383,0.02469989,0.024225855,0.020426676,0.014623962,0.009642257,0.0077386126,0.009117226,0.013070319,0.019911723,0.03325503,0.054412562,0.07929522,0.09568801,0.094759636,0.07665218,0.053263586,0.036932897,0.03474,0.046125006,0.06616699,0.08756002,0.101591714,0.102359004,0.08927638,0.068226546,0.047009557,0.031463098,0.02302304,0.01974426,0.01850444,0.017505972,0.017334862,0.020908281,0.031105101,0.048921138,0.07113484,0.09189276,0.10519271,0.10900571,0.10494397,0.09563062,0.08213564,0.06520514,0.047887813,0.03489117,0.02862615,0.027090237,0.02560863,0.022075796,0.017640205,0.015446174,0.016161792,0.018336954,0.019972408,0.022140892,0.028851494,0.043712914,0.06598174,0.0895155,0.106683485,0.11200241,0.104506396,0.086992525,0.065201014,0.04517764,0.030844733,0.02251295,0.018825723,0.018585337,0.021256508,0.025525779,0.029178416,0.030817045,0.03131475,0.033856582,0.04109814,0.054034498,0.07113362,0.090563625,0.10925356,0.12405934,0.13066082,0.1270791,0.11369718,0.09476134,0.07522998,0.058932904,0.046716932,0.03707387,0.0287209,0.021080032,0.014895439,0.01030973,0.0075042304,0.0062843156,0.006851612,0.009087246,0.012384365,0.015419275,0.016785873,0.016269002,0.016917882,0.025356865,0.04872784,0.085783996,0.12378726,0.14292109,0.13328879,0.10069945,0.06309215,0.03404635,0.01770876,0.010026275,0.0079211965,0.011835138,0.026610754,0.05436021,0.092354804,0.12987761,0.15791486,0.17141218,0.17342652,0.16724588,0.15511057,0.13656566,0.112052195,0.084915854,0.06058829,0.04623883,0.04814604,0.072091036,0.11740941,0.17502283,0.22546966,0.2508129,0.24168627,0.20417957,0.15136778,0.09879031,0.0580093,0.03772741,0.043172974,0.07374108,0.12201241,0.17273612,0.2110905,0.22777027,0.22446056,0.2089849,0.18853696,0.16485514,0.13522436,0.09967188,0.06297497,0.03295902,0.013841485,0.0047803684,0.003729279,0.012358944,0.03781901,0.08288808,0.13975054,0.18710339,0.20757224,0.19624703,0.16503344,0.12681632,0.09063455,0.0587348,0.033659257,0.017400702,0.012185902,0.018907782,0.038060065,0.06739213,0.10103675,0.12991203,0.1454684,0.14274423,0.122329526,0.090717375,0.061597582,0.0533189,0.08457149,0.15585583,0.24635775,0.3151063,0.3387442,0.31935382,0.28818846,0.26642278,0.25855532,0.25010517,0.23194964,0.2057749,0.18102832,0.16407095,0.15177517,0.13696502,0.11411691,0.085110284,0.057233468,0.0398993,0.04144934,0.06441039,0.10453216,0.15029438,0.19056167,0.2174924,0.22868586,0.22342093,0.20374358,0.17511503,0.14529973,0.11932344,0.096744396,0.07539859,0.056260005,0.04473393,0.0433519,0.048478287,0.050221298,0.043323945,0.02892705,0.014731105,0.0052911695,0.0015405226,0.0006724724,0.00079866516,0.0009824551,0.0012253998,0.0019240096,0.0059955306,0.020535188,0.056664616,0.119912766,0.20332162,0.283059,0.33523783,0.34602833,0.32193747,0.27546582,0.22362454,0.18212152,0.1727405,0.20710969,0.27625132,0.3440175,0.3736689,0.35011092,0.28849426,0.21440434,0.14662051,0.09179548,0.05120404,0.026377365,0.018908316,0.028797446,0.050476056,0.073338866,0.084202744,0.07710703,0.055831905,0.03190187,0.014043507,0.004931521,0.001638547,0.00090205175,0.0007558742,0.0011771499,0.0042042225,0.016098415,0.046129633,0.10135273,0.17432714,0.2415874,0.2722601,0.2521087,0.19134551,0.119054325,0.060022857,0.024569,0.008643794,0.0065553137,0.017619204,0.0466131,0.09206649,0.14070535,0.1686682,0.16151676,0.12483642,0.08481243,0.06864373,0.0868248,0.1281054,0.1667648,0.18438673,0.17819835,0.1650212,0.1604852,0.1699513,0.1800421,0.17577799,0.14943121,0.11032185,0.07353151,0.051494416,0.045727935,0.05092225,0.061138716,0.07258731,0.082620464,0.08709068,0.08318103,0.071345024,0.05596542,0.04126338,0.029770767,0.022571877,0.024824025,0.04752477,0.10479573,0.1969537,0.30131212,0.37640908,0.39298737,0.35133454,0.27891222,0.20274113,0.13712795,0.08495226,0.04977798,0.036203235,0.04937877,0.087701894,0.14386423,0.19755624,0.22714955,0.2158163,0.17003441,0.11052451,0.06374679,0.042405147,0.04656135,0.06809639,0.09907985,0.13269708,0.16062509,0.17402057,0.1659206,0.13694765,0.095695935,0.05518979,0.027181894,0.018717928,0.03447252,0.07511998,0.1352694,0.19943087,0.24824147,0.26650846,0.25006223,0.20551749,0.14647573,0.088936895,0.04493645,0.02008837,0.013683501,0.023665076,0.046097454,0.07507625,0.09995071,0.11184076,0.10606027,0.086618654,0.060858082,0.037725475,0.022816895,0.018365253,0.021600852,0.027053408,0.028965438,0.025371857,0.01801796,0.011052673,0.007427899,0.00854347,0.01323695,0.019012036,0.022215838,0.020993203,0.015900148,0.0098863095,0.005302099,0.003084152,0.0026917213,0.0037160467,0.006199488,0.011329837,0.020762263,0.036009964,0.055532116,0.07521444,0.08985374,0.098323554,0.10235565,0.10442098,0.10281807,0.09444067,0.07769836,0.055906344,0.03466707,0.019448971,0.0136310235,0.019450678,0.036282863,0.060041755,0.08190807,0.09449392,0.09479747,0.087147675,0.07760833,0.07128193,0.06913041,0.06968666,0.070332736,0.0702296,0.070955954,0.07541456,0.08445937,0.096060276,0.10762671,0.11958211,0.13467188,0.15304665,0.16843855,0.17136914,0.15663593,0.12778227,0.09393442,0.063452184,0.04038294,0.025062924,0.016153298,0.0116155585,0.009352007,0.007929076,0.007344398,0.008640763,0.013223502,0.021245142,0.03148425,0.040403638,0.04446527,0.041105717,0.032669812,0.024636254,0.02425188,0.032687362,0.04524165,0.052641798,0.051642656,0.04541159,0.040883686,0.039459765,0.03744299,0.031739127,0.026197925,0.031367503,0.05629821,0.09992684,0.14793707,0.18015464,0.18431626,0.16288446,0.1296895,0.09753754,0.07208874,0.052161027,0.035515014,0.021617418,0.011323008,0.0051413653,0.0022882405,0.0013998942,0.0012754196,0.0013732602,0.0015244974,0.0018015556,0.0027962734,0.005719397,0.01181538,0.020335836,0.02820375,0.031437118,0.029428428,0.025670044,0.026183015,0.035719488,0.057273958,0.09136859,0.1328293,0.16849561,0.18117665,0.16249214,0.119594954,0.07141603,0.034100212,0.013310055,0.004944379,0.0027348606,0.0023940126,0.0023622827,0.0026343698,0.0045459196,0.010808575,0.023924777,0.04322799,0.06357539,0.07911313,0.08894989,0.098287135,0.11208496,0.12875229,0.14130549,0.14470477,0.14045785,0.13363825,0.12736093,0.12093151,0.11232049,0.101332426,0.08895874,0.07631573,0.062840015,0.048338518,0.033592254,0.021571448,0.01664932,0.026016807,0.05719017,0.1129813,0.18078752,0.2358761,0.25211152,0.224072,0.16669615,0.106431626,0.059936386,0.033213664,0.024680896,0.034705367,0.059907574,0.091096886,0.11177123,0.11154897,0.09083366,0.061803836,0.036342617,0.022241844,0.022236362,0.03878238,0.07124844,0.11339275,0.15173507,0.17486161,0.17820746,0.16642517,0.14421049,0.11565295,0.083141826,0.053178076,0.03227791,0.025661128,0.03113239,0.04177052,0.047501102,0.04407498,0.034856703,0.030368386,0.038378216,0.05785368,0.07824838,0.08744716,0.08089151,0.06323382,0.04396369,0.029336305,0.020666016,0.015617605,0.012026041,0.009187796,0.008025793,0.010324349,0.016936382,0.027415162,0.0395671,0.05258757,0.06540445,0.07758454,0.08486424,0.08428668,0.0740034,0.058799963,0.04481848,0.037973024,0.03825437,0.04165336,0.04366924,0.04401437,0.046199318,0.05241333,0.060062632,0.06346473,0.0594783,0.049922388,0.039136935,0.030114949,0.023224754,0.017901985,0.0137208225,0.010694017,0.008595732,0.007298053,0.0071233027,0.009730308,0.017700227,0.033126418,0.05361734,0.07230505,0.08018675,0.07408834,0.057343036,0.038620446,0.025344908,0.023500836,0.03591748,0.061076272,0.090138294,0.10993286,0.110658325,0.09254226,0.06478069,0.038773436,0.021432087,0.013753715,0.012538453,0.013689752,0.014050022,0.012576501,0.010621804,0.011592996,0.019873774,0.036969706,0.058932822,0.07638029,0.08161264,0.074595265,0.06389595,0.059380446,0.06404929,0.07314018,0.07949733,0.08259139,0.087239295,0.09809636,0.11067849,0.11575807,0.106681824,0.08662792,0.06386454,0.045114186,0.031806417,0.022305077,0.015849372,0.013697176,0.018841354,0.03226221,0.050428916,0.06484372,0.06762164,0.05724752,0.040613726,0.028822474,0.031693507,0.051451277,0.08161607,0.10798714,0.120542794,0.11807504,0.11121575,0.10820315,0.11196224,0.11631455,0.11737206,0.11229405,0.102209896,0.08646136,0.06767961,0.05055723,0.043690234,0.051387995,0.07193411,0.09484949,0.10985932,0.11029979,0.09922711,0.083714366,0.075496994,0.08263021,0.109993435,0.14781575,0.17955951,0.18440783,0.15926528,0.115183346,0.07750692,0.06505052,0.08946827,0.1448968,0.21545248,0.27324453,0.29871646,0.2854328,0.24780537,0.20320344,0.16431716,0.13157909,0.102253854,0.076535106,0.0612451,0.061935525,0.07757382,0.09707468,0.11027091,0.11138194,0.10471966,0.09598289,0.091521524,0.092388235,0.096631825,0.09918667,0.095851906,0.085122384,0.0684984,0.04938357,0.031520087,0.017833553,0.009978821,0.008389239,0.01343071,0.023664594,0.03596769,0.04570506,0.0520317,0.057665814,0.066699915,0.07986329,0.09528477,0.110934116,0.12334957,0.12737356,0.11705208,0.09321868,0.0632822,0.038124774,0.023973191,0.02284251,0.032671925,0.051607147,0.07469193,0.09728599,0.111963004,0.11546443,0.10593752,0.089016736,0.07214715,0.06394712,0.066131145,0.07385722,0.07889027,0.07577076,0.06483989,0.049503144,0.034034606,0.02106137,0.01210577,0.006969044,0.004711466,0.0044242144,0.0068718814,0.013999415,0.027993917,0.047647253,0.06828546,0.082053065,0.08455914,0.07610848,0.062843636,0.049753785,0.03943401,0.030478599,0.022009814,0.013993475,0.008754577,0.009607705,0.020978583,0.044009775,0.07325864,0.09574623,0.09977984,0.08318148,0.055804417,0.030902842,0.016537216,0.012697338,0.01516747,0.020464063,0.027079038,0.035103682,0.043771278,0.052273978,0.059989896,0.068009116,0.07719743,0.08650375,0.093129426,0.094328605,0.090303265,0.082880884,0.07484955,0.06758971,0.061499003,0.055787057,0.049222574,0.041259516,0.032263163,0.023831429,0.017239474,0.013283775,0.012014896,0.013915452,0.020083733,0.031044051,0.045181666,0.05883274,0.069221854,0.076136716,0.08071148,0.08261179,0.08050546,0.07491571,0.06922853,0.06704796,0.06844959,0.070464365,0.06901548,0.06299758,0.053584043,0.04460858,0.038263217,0.035463963,0.03419216,0.03308905,0.030978262,0.028234087,0.02489114,0.021441333,0.018198345,0.015639292,0.0136922235,0.012537382,0.013845854,0.021310141,0.038203146,0.06291002,0.08936999,0.11180788,0.13210618,0.1555776,0.18606609,0.22077985,0.25708517,0.29074764,0.3148174,0.31722632,0.29283395,0.24738063,0.19448908,0.14314933,0.09969115,0.0720117,0.07325684,0.10963422,0.17342465,0.24210493,0.2932336,0.31463796,0.30891702,0.28649926,0.2590201,0.23484743,0.21776806,0.20656426,0.19644164,0.18268579,0.16429399,0.14411008,0.12640996,0.113905795,0.10705339,0.1030164,0.097530074,0.086366,0.06985702,0.051700886,0.037434284,0.03267899,0.04512455,0.08407553,0.1486061,0.22075705,0.267678,0.26824716,0.22611952,0.17030887,0.13079399,0.12423167,0.14720528,0.18221547,0.20718308,0.20533018,0.17479837,0.12758939,0.08389446,0.060688775,0.06334367,0.08422036,0.105685465,0.11419698,0.104935944,0.087103926,0.07074681,0.06250855,0.060156923,0.061302226,0.066598736,0.07773468,0.09149527,0.098746546,0.095324844,0.088303916,0.09232525,0.11359057,0.14256917,0.16209947,0.16235591,0.1467769,0.12413859,0.101073764,0.08061843,0.06665045,0.061790835,0.065569565,0.073140405,0.082472585,0.09423802,0.10986588,0.12457784,0.13077001,0.12282562,0.102964364,0.07928418,0.06174389,0.05567592,0.059304494,0.06442218,0.06389318,0.056018334,0.045244228,0.036490317,0.034651138,0.046948593,0.08408175,0.1510668,0.23707259,0.3156024,0.3619614,0.36885488,0.34918204,0.3185643,0.28517485,0.24716483,0.20708632,0.17216666,0.15247299,0.14791444,0.15207346,0.15521742,0.15467203,0.15243392,0.15515526,0.16564097,0.18110447,0.19090717,0.18553698,0.16191517,0.12651174,0.08858127,0.05619961,0.033680003,0.023863653,0.02791383,0.043590415,0.06579093,0.09017899,0.12198526,0.16981177,0.23552255,0.2988737,0.3328694,0.3216337,0.27774626,0.22444947,0.18037212,0.14943045,0.1325302,0.13056114,0.14221303,0.1580975,0.16520111,0.15544306,0.12948482,0.09504458,0.060971152,0.035458956,0.02389293,0.03116866,0.05890504,0.10612836,0.16392703,0.22023506,0.25937778,0.27181372,0.2536967,0.21213293,0.1587266,0.1068815,0.065248705,0.039184466,0.03288774,0.051076602,0.09439361,0.15362246,0.21114795,0.24980812,0.26376253,0.25875542,0.2481472,0.24407864,0.25195786,0.2660029,0.27309644,0.26292297,0.23452543,0.19467439,0.15190062,0.11475598,0.09194946,0.088432826,0.10088837,0.11968245,0.13760197,0.15551193,0.17847197,0.20610094,0.23226476,0.24808852,0.25221503,0.24520908,0.23200746,0.21481802,0.19949515,0.18796097,0.17884775,0.16486321,0.14094935,0.10912859,0.07930205,0.06441688,0.07195285,0.100560516,0.13953722,0.17869972,0.21105748,0.23421581,0.2416804,0.22655688,0.18669236,0.1320287,0.079330765,0.04435879,0.036801055,0.05951344,0.107987404,0.16991961,0.22831249,0.26888826,0.285642,0.2837269,0.27755868,0.282241,0.3038422,0.33210814,0.35178006,0.3539699,0.34436974,0.33226854,0.3204215,0.30250987,0.26995227,0.22240542,0.16764207,0.12066833,0.095356084,0.10069698,0.13376327,0.1783824,0.21181571,0.21654136,0.19058622,0.1447459,0.095759034,0.05786163,0.04189859,0.053335637,0.09087732,0.14240187,0.18822004,0.20930316,0.19855188,0.16317327,0.118112445,0.07689289,0.048109736,0.037512507,0.049762886,0.0851168,0.13722907,0.19023752,0.22701468,0.23486952,0.21692385,0.18723883,0.1627178,0.15065938,0.14683884,0.14344387,0.13319696,0.11663008,0.09756922,0.08635125,0.08976483,0.1100958,0.13920975,0.16726172,0.18684816,0.19952267,0.21102238,0.22875895,0.25397953,0.2827158,0.30326572,0.30617234,0.28734326,0.25408852,0.2163976,0.18165453,0.15061976,0.122364916,0.09781456,0.079689465,0.06993446,0.06820638,0.073079675,0.08110302,0.0878849,0.08721962,0.07691662,0.058536846,0.038537785,0.022192681,0.01280247,0.011359467,0.017642269,0.030853352,0.046105627,0.05762148,0.058961738,0.051244136,0.03985515,0.03446876,0.04161893,0.06533474,0.10318905,0.14482512,0.1760553,0.19033056,0.19999872,0.22364211,0.26961693,0.3225954,0.362699,0.37699845,0.36734352,0.33483732,0.28121737,0.21001565,0.13527554,0.07244455,0.032559633,0.018364547,0.032808084,0.08099034,0.16404107,0.26771972,0.36406848,0.4262862,0.4437352,0.42079508,0.36689225,0.29062888,0.20519918,0.130721,0.088559,0.09057417,0.1338733,0.20232148,0.2708652,0.31526706,0.3219736,0.29508004,0.24914962,0.19813733,0.1495868,0.10976794,0.08977311,0.10012861,0.14260304,0.20333047,0.2623208,0.3011597,0.31256273,0.29891226,0.2740202,0.25680593,0.2616786,0.2859658,0.31150034,0.31927776,0.30593696,0.28196537,0.26070637,0.24406011,0.22694224,0.20076746,0.16413948,0.11974447,0.07732355,0.047549445,0.04085383,0.058001827,0.08821211,0.11117085,0.111309476,0.08760982,0.053646684,0.026793355,0.017955229,0.031027218,0.060377706,0.094796024,0.11599174,0.114383794,0.090937376,0.061284855,0.038251538,0.028122002,0.026518336,0.028133174,0.029766353,0.0314682,0.033182546,0.033653315,0.0329996,0.03488049,0.04614188,0.07024375,0.104483224,0.13917805,0.16672128,0.18270461,0.18905507,0.18724774,0.18090099,0.1730879,0.1686414,0.17053704,0.17890291,0.1907896,0.20099874,0.20743282,0.21174712,0.22101192,0.23945577,0.26536116,0.28970444,0.3038417,0.30563402,0.29779133,0.28361887,0.2606561,0.22642548,0.18183647,0.13728397,0.10695321,0.102611154,0.12532723,0.16394044,0.20108573,0.2213413,0.22000743,0.20108075,0.17441313,0.14784805,0.12790649,0.11768969,0.11857907,0.1278678,0.13972317,0.14757685,0.14597677,0.13439687,0.114662774,0.0924428,0.0724119,0.059730466,0.056445748,0.062481165,0.07361674,0.08388081,0.08726751,0.08124905,0.06753631,0.05345309,0.050101805,0.068112016,0.1080376,0.15651032,0.1928535,0.20417011,0.19394256,0.1746111,0.15694761,0.14162494,0.12685576,0.110865735,0.096090704,0.08303829,0.07059216,0.057486948,0.045242276,0.03903452,0.042768102,0.057679515,0.0804907,0.1066851,0.13164593,0.15066935,0.15904698,0.15246171,0.13192363,0.10399645,0.07941388,0.06593886,0.06603613,0.076752245,0.09241583,0.10659648,0.114300676,0.114977665,0.11151388,0.1073849,0.10245061,0.094653524,0.082451604,0.06723688,0.051746737,0.038899623,0.03162424,0.033918496,0.049882382,0.08035987,0.119721204,0.15731353,0.18430467,0.19856913,0.20533824,0.20945191,0.21275449,0.212765,0.2093518,0.20552452,0.20552535,0.20975272,0.21168815,0.20335571,0.1797524,0.14614569,0.11413824,0.09666702,0.09783549,0.110341586,0.11998492,0.115395755,0.0964706,0.07477441,0.06881538,0.09476635,0.15457521,0.23089595,0.29279515,0.3180903,0.30773553,0.28503767,0.2771133,0.29705685,0.33883405,0.37912047,0.3947262,0.37250122,0.32240877,0.26232502,0.21108007,0.1737122,0.15406086,0.15359448,0.17527519,0.2110879,0.2468545,0.26841375,0.27336988,0.26680714,0.25539896,0.2395956,0.21691678,0.18590422,0.15314539,0.13382035,0.14174557,0.17599343,0.2150323,0.23382223,0.22438966,0.20185459,0.18910147,0.19528182,0.21384121,0.22881967,0.2309987,0.21942593,0.20366679,0.19520676,0.20104204,0.21698147,0.22996469,0.22805369,0.20784624,0.17773889,0.15299973,0.15149628,0.18241864,0.2380575,0.2912649,0.31226844,0.28712806,0.22708343,0.15719183,0.099723615,0.0646723,0.05199792,0.059966326,0.0857506,0.123215936,0.15842932,0.17955846,0.18409353,0.182981,0.18643819,0.19520627,0.19867004,0.18726437,0.16012986,0.12512778,0.09180344,0.06749814,0.057471324,0.06652806,0.094325565,0.13280071,0.16401286,0.17234768,0.1522533,0.11687299,0.08923542,0.09194174,0.1345591,0.20908706,0.29519248,0.36769104,0.40876868,0.41037992,0.3752661,0.31213018,0.23410384,0.15690894,0.093913145,0.053512752,0.0386599,0.052942336,0.09727335,0.16246255,0.22440457,0.25800776,0.25839266,0.24370368,0.23851816,0.24688947,0.2557689,0.24746078,0.22349171,0.19702226,0.18329279,0.18105687,0.17781818,0.16062702,0.13061804,0.104163654,0.101111434,0.13123192,0.18388458,0.2349555,0.2609636,0.2545384,0.22476429,0.18498105,0.14378257,0.10347582,0.06893129,0.04789998,0.048710745,0.072425246,0.11112914,0.15108414,0.1806631,0.19755787,0.20750932,0.21770382,0.22966611,0.23981105,0.244165,0.2407313,0.22966379,0.20959334,0.18042,0.1431072,0.10353582,0.06767397,0.040971275,0.026430115,0.028856657,0.05507825,0.10815579,0.1804456,0.25053352,0.29517245,0.30030382,0.27019915,0.21914677,0.16318484,0.111554824,0.06892989,0.03710978,0.016815126,0.0063876132,0.0027305193,0.0029850707,0.007875114,0.021217898,0.04887119,0.09057659,0.13997588,0.18480247,0.21882315,0.23957832,0.24625377,0.23255591,0.19485283,0.13959788,0.08297431,0.04020232,0.016231257,0.009695805,0.019687334,0.050760347,0.10185981,0.16363406,0.21572554,0.24634826,0.25079602,0.23558404,0.20233308,0.1561736,0.10360476,0.057450633,0.025735995,0.010691862,0.009805233,0.022615999,0.04854669,0.083667524,0.1185542,0.14571437,0.16518487,0.1828655,0.2041403,0.22712784,0.24805194,0.25995412,0.25885776,0.23955245,0.20490539,0.16225658,0.12263736,0.09069401,0.06566536,0.04486665,0.030043354,0.028138662,0.04956593,0.09835733,0.1668774,0.23138839,0.27033624,0.2738061,0.25390992,0.22688723,0.20651342,0.19446589,0.18792719,0.18011041,0.16465478,0.13822356,0.10350341,0.06895448,0.042445123,0.027675606,0.022872105,0.025077594,0.031847965,0.04276469,0.0592225,0.084085375,0.117373824,0.1525888,0.17817485,0.18714537,0.18291451,0.17613925,0.17253526,0.16762406,0.15148951,0.12018005,0.08023385,0.043640416,0.01922405,0.00986484,0.016739419,0.04325445,0.08971989,0.14517148,0.18598013,0.1911552,0.15858185,0.10913374,0.071639106,0.06528242,0.09021456,0.13295771,0.17570363,0.20837756,0.22849117,0.2388366,0.23822731,0.22447638,0.19722225,0.16151635,0.12355786,0.08738353,0.055775523,0.03130956,0.01685339,0.0143953115,0.026435755,0.055310655,0.09744836,0.14033268,0.16682993,0.170188,0.15907589,0.14842194,0.14311534,0.13370007,0.11131063,0.077639006,0.04620933,0.026760884,0.021603765,0.027782142,0.04657322,0.08245529,0.13444726,0.19064075,0.23234451,0.24994755,0.24898547,0.24602224,0.2523118,0.26618043,0.27601567,0.27170435,0.25414062,0.23120522,0.2102809,0.19121663,0.17288603,0.15918471,0.15559465,0.16300164,0.17403913,0.18783776,0.21037735,0.250003,0.29735467,0.33233044,0.3388437,0.32254902,0.2997658,0.28070208,0.26117852,0.23385419,0.19890915,0.16335987,0.13338195,0.10959626,0.08979103,0.07197895,0.056312785,0.0442948,0.038203046,0.04134505,0.05620858,0.08384639,0.1188632,0.15217543,0.17207925,0.17435195,0.16241302,0.14712285,0.13709761,0.1356033,0.1398905,0.14547545,0.14865424,0.14717168,0.1409288,0.13134922,0.120811455,0.11008263,0.098848164,0.08688984,0.07592691,0.067609735,0.061800133,0.056502994,0.050633397,0.04611713,0.04692905,0.057153564,0.07592585,0.097391516,0.11131505,0.11205214,0.10080192,0.089309804,0.09442284,0.13459884,0.21256165,0.30682147,0.37376142,0.3805889,0.3268924,0.24571049,0.17208469,0.12228623,0.09154221,0.070365526,0.055136025,0.049435843,0.056313466,0.07457971,0.097379066,0.11890292,0.13478972,0.14304192,0.14057218,0.12720202,0.108183466,0.09318298,0.08937801,0.09699591,0.11105242,0.12612341,0.13684087,0.13765334,0.12354305,0.09605662,0.06406707,0.040244166,0.033390153,0.04641284,0.076437004,0.11698077,0.15670358,0.18297495,0.1854068,0.16350068,0.12598915,0.08891203,0.067029156,0.06944316,0.094615795,0.13225526,0.16722731,0.18865816,0.19449253,0.1914408,0.18705548,0.1843527,0.18063824,0.17341745,0.16404803,0.15771222,0.15833384,0.16502243,0.17239188,0.17377116,0.16612649,0.15091008,0.13376658,0.11965892,0.11093956,0.10717376,0.108243525,0.11678926,0.13435717,0.1579677,0.17615382,0.1768453,0.1540274,0.114254765,0.07090924,0.036751647,0.017320907,0.011207773,0.014270626,0.023478383,0.038601983,0.05888391,0.07953047,0.09110624,0.08683389,0.07005248,0.05429931,0.05248955,0.065089375,0.07968313,0.08144917,0.06649002,0.04351449,0.027668176,0.029999634,0.051927302,0.08323052,0.107623994,0.11416036,0.10791286,0.10704098,0.12783602,0.16989978,0.21701229,0.24875535,0.2531857,0.22972892,0.18697733,0.13671167,0.0922117,0.064836256,0.06493632,0.09491274,0.1470563,0.20017372,0.232126,0.22956671,0.19664705,0.14708266,0.0967738,0.056599144,0.034359165,0.03500082,0.06004249,0.10163939,0.14344186,0.16671945,0.16640669,0.15358834,0.14906178,0.16236235,0.18887107,0.21356149,0.22776304,0.23060954,0.23063684,0.2380224,0.25821257,0.28345087,0.2933707,0.27153397,0.21772243,0.15138541,0.093240924,0.056607004,0.044014562,0.0571174,0.094132185,0.14410578,0.18315493,0.18813264,0.15509655,0.104893364,0.069257595,0.07050684,0.109020226,0.16717784,0.21820076,0.24404044,0.23888886,0.2124899,0.17582874,0.13895027,0.105454035,0.07871548,0.060961053,0.05327463,0.05293614,0.054685235,0.056095388,0.06014205,0.07244537,0.09400373,0.11839819,0.13664223,0.14256601,0.1362076,0.12081746,0.10197574,0.08447931,0.07277756,0.06838264,0.07211468,0.08187851,0.09518985,0.106295966,0.111747526,0.11084523,0.11028135,0.11691091,0.1337564,0.15429801,0.17153846,0.18353122,0.19897789,0.22652578,0.26827073,0.3131355,0.34478113,0.35039055,0.33027026,0.29608047,0.26148587,0.23190618,0.20275658,0.16769262,0.12612744,0.0854158,0.05344917,0.034915816,0.029710233,0.03789242,0.057144623,0.081175484,0.0976409,0.09831122,0.085234165,0.072298564,0.070906244,0.08207422,0.09426979,0.09741136,0.08876506,0.07448019,0.05974211,0.048488457,0.04449886,0.05550395,0.08460759,0.12658364,0.16650993,0.1942931,0.20772274,0.21333154,0.21510999,0.21389993,0.20785303,0.19556713,0.17638785,0.14994784,0.11933107,0.09140438,0.076617904,0.08361157,0.11534029,0.1676353,0.22879155,0.28297365,0.31015718,0.29775378,0.24558508,0.17411666,0.1108605,0.07962558,0.08645865,0.12135163,0.16237484,0.18689372,0.1822385,0.15349978,0.11960473,0.100765735,0.10801322,0.13937448,0.18638921,0.23598246,0.27863565,0.30672768,0.32018223,0.32063043,0.31176102,0.29497737,0.2704607,0.23891175,0.20102401,0.15942512,0.116025984,0.075467505,0.042040523,0.020135036,0.010578587,0.012819588,0.023904776,0.03945528,0.05255376,0.0584806,0.05720814,0.05404231,0.05394223,0.056748245,0.058010947,0.05265954,0.041691437,0.030599035,0.027071374,0.033993755,0.04942028,0.068602465,0.08723843,0.10205177,0.11049825,0.11392063,0.120097496,0.13826188,0.17059469,0.20623745,0.2315617,0.2398151,0.23607938,0.22762083,0.21767288,0.20489158,0.18863864,0.17142718,0.15701358,0.14769943,0.14304052,0.14054997,0.13765751,0.1330669,0.12906624,0.12927194,0.13654412,0.14752789,0.15575518,0.15488975,0.1451023,0.1304432,0.115707226,0.10239465,0.09009477,0.0782699,0.06708214,0.056386154,0.045696747,0.03557617,0.029442413,0.03225067,0.048382107,0.07782522,0.11617526,0.15413113,0.1820736,0.19230096,0.18445557,0.16333336,0.13855217,0.117197014,0.10399836,0.09778645,0.096251614,0.09472028,0.08979181,0.07859316,0.06179237,0.042940985,0.026743023,0.016475303,0.013280378,0.017975604,0.030431435,0.047855627,0.06334732,0.070073605,0.06666387,0.059126034,0.05530153,0.057869602,0.06206422,0.060984287,0.05265824,0.04257837,0.03862643,0.04365215,0.05228783,0.05566365,0.04888655,0.03482965,0.021013826,0.014120079,0.01603126,0.024135819,0.03317434,0.0393531,0.042183653,0.044900816,0.04947735,0.0546001,0.055897918,0.05207104,0.04613695,0.043464784,0.045453254,0.04882871,0.048367664,0.042395335,0.033081766,0.024300432,0.01775624,0.013526804,0.011256579,0.011835768,0.015517638,0.020866754,0.024512922,0.023985242,0.019283915,0.013015501,0.008006882,0.0056482647,0.0054531605,0.006044733,0.006702199,0.009121216,0.018784946,0.04279046,0.08335913,0.13087295,0.16546406,0.1692794,0.14012904,0.09347781,0.050594997,0.024755115,0.01626303,0.017619656,0.020690603,0.020924047,0.019276828,0.021797972,0.038082596,0.07367114,0.12595747,0.18327297,0.23240948,0.26272565,0.2678497,0.24650468,0.20432119,0.1531489,0.10505649,0.06643608,0.038545962,0.020000817,0.011308649,0.014622484,0.03493921,0.07495465,0.1301166,0.18383597,0.21464664,0.20802437,0.16738833,0.11080393,0.059444215,0.025717748,0.012014035,0.016860709,0.03993004,0.079803616,0.12892613,0.17346479,0.2011037,0.20793849,0.1992228,0.18277001,0.16351654,0.14193617,0.11658246,0.08736292,0.057404976,0.03178774,0.014415731,0.005379796,0.0019930266,0.001057622,0.0011321306,0.0022658163,0.0052919122,0.010160964,0.015763555,0.020758951,0.025817165,0.03368895,0.0457841,0.059058625,0.066119134,0.061828405,0.04703921,0.028835243,0.013972174,0.0062834024,0.006442707,0.015779464,0.034234773,0.05861677,0.07962925,0.089089744,0.08451223,0.073283754,0.06650673,0.077588916,0.119706236,0.20263691,0.31772992,0.43192205,0.49808303,0.4876556,0.40723607,0.2933168,0.1847229,0.1057002,0.06325894,0.052507993,0.06331804,0.0816355,0.09704623,0.10401832,0.10470131,0.10244754,0.098959275,0.09244692,0.080568105,0.06367786,0.04454655,0.027501183,0.015230163,0.009273742,0.009198182,0.014176395,0.021580135,0.028265214,0.030618144,0.027947003,0.022089684,0.016664606,0.013357873,0.011819958,0.010663192,0.0096386345,0.00908363,0.00909762,0.008763748,0.007505286,0.005424977,0.0034900655,0.0022205042,0.0018159357,0.002205219,0.0036780972,0.0060629793,0.008574629,0.009725307,0.0090252645,0.0071600038,0.006532055,0.0105162375,0.02381771,0.04993355,0.08706667,0.12562275,0.1515805,0.15505628,0.13546291,0.101377994,0.064415626,0.034117375,0.014656565,0.0050773956,0.0017391559,0.0010285424,0.0027089461,0.012069347,0.040801536,0.10175106,0.19760464,0.31419393,0.4196101,0.48315206,0.48570207,0.4360235,0.35561538,0.27206504,0.19765265,0.13742505,0.09222864,0.070517,0.07927826,0.11560404,0.15871662,0.18196763,0.1690762,0.12896287,0.087346405,0.07238958,0.09409163,0.14446026,0.19756584,0.22885019,0.22078656,0.1809638,0.13186772,0.106432,0.11796322,0.1570492,0.18996823,0.19096614,0.15420459,0.10011067,0.051239695,0.02117495,0.009690184,0.014848958,0.03749447,0.07726211,0.12366837,0.15604484,0.15719873,0.12749796,0.08509504,0.05080576,0.03330179,0.028243253,0.029268662,0.037610676,0.062698595,0.11014539,0.17380655,0.23165412,0.26198637,0.2536886,0.21683353,0.16921352,0.12709904,0.09416636,0.068099394,0.04612651,0.03062663,0.02678073,0.037740506,0.06258378,0.094733775,0.12759762,0.15364403,0.16851217,0.16639216,0.14628126,0.1111013,0.07152679,0.0377662,0.016256997,0.0058576637,0.0024019047,0.001611786,0.0014996957,0.0027748079,0.009391814,0.027971908,0.061189562,0.101794325,0.13380897,0.14645262,0.14548306,0.14802559,0.16602038,0.19392921,0.21590155,0.21832043,0.19926631,0.16662657,0.1315337,0.102175094,0.079792,0.06145899,0.044089224,0.028129047,0.016775247,0.014114802,0.024370298,0.05005932,0.08880931,0.13019799,0.15872568,0.16199084,0.13899034,0.100536995,0.062555484,0.03631577,0.02402971,0.020804143,0.02105313,0.023601064,0.030583015,0.044894148,0.066074006,0.09281889,0.12223206,0.15094239,0.17279291,0.18134512,0.17349811,0.1507727,0.1191996,0.08487505,0.05419862,0.030781753,0.016420694,0.009389355,0.0073230267,0.0084304,0.014023469,0.0277175,0.05380748,0.09059572,0.12747599,0.1473056,0.14045967,0.11307234,0.084061824,0.068699926,0.06877018,0.07519066,0.079453446,0.07955179,0.07871742,0.07970941,0.08203449,0.08155464,0.07380702,0.058146473,0.03992066,0.028045893,0.029597221,0.04477188,0.06768848,0.0877597,0.09687927,0.090290874,0.07177582,0.048262846,0.028520843,0.016162695,0.012153986,0.01602075,0.029197449,0.051185977,0.07775027,0.10014994,0.111389905,0.10881617,0.09622431,0.080024,0.066955216,0.060573366,0.060553294,0.06341506,0.06458911,0.06069128,0.050743073,0.03682914,0.022740955,0.011936822,0.0058750673,0.004581778,0.007966958,0.016150488,0.027905812,0.03976118,0.046758264,0.045852203,0.037424378,0.025502488,0.014418732,0.007506995,0.0062127947,0.011781651,0.024397172,0.041737854,0.05732405,0.063751526,0.05774666,0.04385808,0.031229945,0.027043045,0.03128438,0.03769089,0.03933795,0.033712108,0.023906847,0.014983456,0.010137234,0.008928028,0.009019618,0.008955206,0.009402077,0.012596019,0.018745676,0.025498161,0.028071536,0.024759427,0.017020166,0.009441477,0.004497249,0.0027799187,0.0030498225,0.004860755,0.0075958422,0.010893262,0.014157849,0.018542267,0.024515076,0.031515434,0.035587955,0.034239195,0.027193623,0.018292895,0.010820917,0.0069796476,0.0069868774,0.011182729,0.018897688,0.027865028,0.03414161,0.03560492,0.033765845,0.032967564,0.036870364,0.048321534,0.07033121,0.10427443,0.14254014,0.16815746,0.16409962,0.12971228,0.08118487,0.04118543,0.022015661,0.02322974,0.034701135,0.045142327,0.047029138,0.042075317,0.040586933,0.054787595,0.088269435,0.13214327,0.17187546,0.19856638,0.21296994,0.21863867,0.21381122,0.19258933,0.15357687,0.1049983,0.060102653,0.028298302,0.011044481,0.004014055,0.0022561522,0.003940836,0.0112520605,0.028527662,0.05563729,0.084981225,0.10234505,0.098827034,0.07615691,0.046950787,0.022809228,0.0090325335,0.0033651905,0.0019257185,0.0019998485,0.0031660243,0.006193582,0.0116599975,0.01879574,0.026553268,0.037054356,0.058729615,0.10058993,0.16260052,0.22863178,0.27718768,0.2967499,0.29367402,0.28147534,0.26636353,0.24530907,0.21433918,0.17828406,0.14585014,0.12247017,0.104177624,0.084643506,0.06096807,0.037184324,0.018501336,0.0076204245,0.0029521955,0.0016813366,0.0014859024,0.0014636785,0.0028208483,0.010285324,0.033306345,0.079523854,0.14643918,0.21436715,0.25774562,0.25950775,0.2240005,0.1684041,0.11214588,0.06601114,0.034174606,0.016146196,0.010618764,0.015521091,0.027835263,0.041964952,0.050828367,0.04938228,0.03852537,0.024064315,0.012856197,0.0088792825,0.013114641,0.024552569,0.04360694,0.07494801,0.12808256,0.20570682,0.29339278,0.35827982,0.37420103,0.34189007,0.29277924,0.262573,0.26615635,0.2918069,0.31555605,0.3234279,0.31489906,0.2970132,0.27005473,0.23009516,0.17591716,0.11653792,0.06586844,0.034910258,0.026970187,0.038287748,0.060449976,0.08151364,0.09093595,0.08338076,0.06340309,0.04066102,0.025226606,0.020019127,0.022298047,0.025464855,0.025410747,0.02103374,0.015032645,0.0103117665,0.009339419,0.0117273005,0.015450418,0.017071871,0.015278257,0.010778946,0.0062975115,0.0035257235,0.0030854663,0.0053023905,0.011029969,0.02163004,0.03499868,0.046587605,0.04958619,0.044734534,0.040623367,0.053882714,0.092811264,0.15086995,0.20353432,0.2267272,0.2100615,0.16430537,0.11064246,0.069169775,0.05281946,0.06796695,0.116557956,0.19174846,0.27410018,0.3330587,0.3413099,0.29260615,0.20791942,0.123165816,0.06776599,0.05126432,0.06490994,0.090069614,0.108800076,0.10932603,0.09106951,0.0628821,0.03955747,0.035275772,0.058048606,0.10382259,0.1552701,0.18925321,0.19136435,0.1639477,0.122038305,0.080543436,0.047638204,0.024788162,0.011079561,0.0043309303,0.0020197493,0.0016293145,0.0017407531,0.0018079617,0.0020301244,0.002946568,0.0053843395,0.009242113,0.013302299,0.015243196,0.014085021,0.011349268,0.01139157,0.018622942,0.033320088,0.04994294,0.05914958,0.05554253,0.04104307,0.023888022,0.011895365,0.009591353,0.018486045,0.036626477,0.057719648,0.071095176,0.06939884,0.053427894,0.032343246,0.015542366,0.007471934,0.0072968923,0.011486766,0.016392818,0.018441463,0.016560504,0.011697476,0.0067882664,0.0034950182,0.0021740731,0.0018508979,0.0018522288,0.0018178873,0.0017336699,0.0016060453,0.001471659,0.0013781894,0.0013647405,0.0014315378,0.0015277578,0.0015832188]