[0.006522073,0.011541805,0.023048962,0.037668698,0.049072593,0.05202468,0.04651084,0.039562386,0.038853064,0.046209738,0.05499691,0.05682889,0.048912633,0.035935972,0.024946788,0.018975234,0.016600236,0.014439456,0.011229838,0.0073771323,0.004297917,0.002447663,0.0017240462,0.001541484,0.0015831351,0.0017172475,0.002022516,0.0025250989,0.003372768,0.005175887,0.009240917,0.01689055,0.027769879,0.039303888,0.047235433,0.048603177,0.042830005,0.0325676,0.021579402,0.013859193,0.011828671,0.016039595,0.024316719,0.03312039,0.03926458,0.042895388,0.046468303,0.053469956,0.064103,0.076260306,0.08515806,0.08796277,0.08382684,0.075424656,0.065360405,0.055153847,0.0448609,0.03531109,0.028340096,0.02527791,0.025557317,0.028124383,0.032205775,0.036916997,0.039873075,0.03936908,0.0377925,0.040423978,0.051456686,0.067843914,0.08319803,0.0904625,0.08902701,0.080403276,0.06854626,0.05457759,0.040349327,0.026769707,0.01596916,0.008705023,0.005256424,0.005243972,0.008722444,0.016287573,0.028070038,0.04427631,0.06477373,0.09212091,0.12799712,0.17097346,0.20935799,0.22860616,0.21871357,0.18587565,0.14580025,0.11558902,0.101386786,0.10042194,0.10422352,0.1075974,0.1078122,0.10474822,0.096318565,0.08176726,0.06211756,0.041690852,0.02448471,0.012718239,0.006173028,0.003459804,0.0032429863,0.0048729256,0.008359856,0.0130402,0.017215615,0.018581798,0.016456528,0.011996508,0.0075722556,0.004545949,0.0034740872,0.0050851232,0.011744463,0.025737131,0.045883417,0.06568142,0.0771051,0.077219635,0.070727445,0.064733855,0.061817024,0.058568735,0.050979037,0.038834143,0.025670841,0.014956221,0.008053919,0.0043797167,0.0027925044,0.0023316583,0.0023616452,0.00253189,0.00313869,0.0057272203,0.014031276,0.031759724,0.06018418,0.09391119,0.12496662,0.1452762,0.15260242,0.14648849,0.1294426,0.1057575,0.08471661,0.07569676,0.082169205,0.09752518,0.109865315,0.11003939,0.09721166,0.076914094,0.056401562,0.040916324,0.033677544,0.0357946,0.045305938,0.056066673,0.060686316,0.054946367,0.041117065,0.025255188,0.013138461,0.007269207,0.008223079,0.016038613,0.02985535,0.045805585,0.05722502,0.058349196,0.04864283,0.03315134,0.018573273,0.008868802,0.0041583288,0.002545421,0.0022327679,0.0027856815,0.005865369,0.015535123,0.035825167,0.06578407,0.09613327,0.11314115,0.10830257,0.0848189,0.05475354,0.02954621,0.013900238,0.006693817,0.0060505862,0.012075469,0.02544248,0.044945404,0.0675838,0.09094203,0.114363275,0.13659109,0.15466827,0.16601206,0.17264783,0.18153103,0.19816475,0.2202934,0.23522826,0.23019202,0.20326762,0.16796672,0.1403592,0.124969445,0.11327983,0.09604967,0.07419905,0.054877084,0.04316609,0.03748135,0.03616431,0.04011667,0.05139214,0.06672676,0.07823255,0.079358794,0.06987231,0.05598193,0.044141337,0.038600102,0.038849473,0.041933626,0.042986616,0.039001863,0.03017974,0.019878006,0.012365494,0.011425239,0.020391105,0.039742287,0.06474715,0.085576594,0.09496078,0.095161445,0.09682468,0.108822025,0.12896895,0.1468948,0.15297057,0.14786512,0.13831587,0.13285476,0.13252664,0.13696714,0.14249134,0.14943017,0.15326928,0.15133369,0.14081071,0.12850066,0.12159962,0.12308089,0.12574892,0.12161798,0.109505296,0.094471134,0.08179745,0.071638726,0.06334466,0.055830408,0.049067274,0.04149061,0.03478828,0.03426389,0.047515947,0.074962564,0.10970557,0.138822,0.15579312,0.1581862,0.15024231,0.13331099,0.11158273,0.08836526,0.06868827,0.053893924,0.042665783,0.03304782,0.024342308,0.01792616,0.015237741,0.017330386,0.023953816,0.032807622,0.040375993,0.04273225,0.038708735,0.029784145,0.019630225,0.011167294,0.0056728334,0.0027651929,0.0015113121,0.001152079,0.0012283538,0.0015958538,0.00228712,0.003605703,0.005869454,0.009167808,0.0134220375,0.019227495,0.028856466,0.04419598,0.0640682,0.08176208,0.08999809,0.08548119,0.07225323,0.05724917,0.04687171,0.044886947,0.052506287,0.06762469,0.083915055,0.09319502,0.089725524,0.07431971,0.054141268,0.037913542,0.0308478,0.03261986,0.040756177,0.052414674,0.0654229,0.07629621,0.08311873,0.085855074,0.08698055,0.08743376,0.086677246,0.08403205,0.081253916,0.08154442,0.085521616,0.08935692,0.0867542,0.07531575,0.05811734,0.041349936,0.028838234,0.021585971,0.019208526,0.020955307,0.025467403,0.030363092,0.03468502,0.03829816,0.04202799,0.045525502,0.048216697,0.04994637,0.05193338,0.057249527,0.06704128,0.07911279,0.08724444,0.08900753,0.08740875,0.08901676,0.09510958,0.100804985,0.09890691,0.08674109,0.067247234,0.046371456,0.029054089,0.018115012,0.014664564,0.019404044,0.03116324,0.046019033,0.057293575,0.059706133,0.052402705,0.039376825,0.02585193,0.015231957,0.008264102,0.004294747,0.0023268207,0.0015233184,0.0012535447,0.0012232427,0.0013674725,0.0016993723,0.0021609843,0.0026061533,0.0029080817,0.003146461,0.003814303,0.0056805983,0.009148111,0.013370267,0.016408613,0.01652798,0.014435579,0.01342371,0.017813856,0.028919285,0.04425922,0.0584719,0.06834381,0.07291769,0.0734893,0.06935859,0.06026827,0.04639085,0.03126489,0.018118227,0.00939502,0.004995905,0.005939809,0.01578699,0.041244537,0.08475045,0.14045377,0.19249296,0.227234,0.23834181,0.2308111,0.21124302,0.1862839,0.15972196,0.1348141,0.11324003,0.09534454,0.08174149,0.07346055,0.07192389,0.07728556,0.08644726,0.093327366,0.0902743,0.075087465,0.051938716,0.03034422,0.01730573,0.015882539,0.02475827,0.041781273,0.06298242,0.08338862,0.09606644,0.097101696,0.087070666,0.07360607,0.06416943,0.062607795,0.064831056,0.06535917,0.060268324,0.050960872,0.040282536,0.030932555,0.023597643,0.01798065,0.013499317,0.009676641,0.006461358,0.004041036,0.0029996687,0.004173124,0.008565319,0.016090004,0.024718175,0.030534232,0.030620767,0.024973996,0.016752541,0.00940845,0.004770487,0.0026001188,0.0019316351,0.002470749,0.0052373055,0.012229182,0.0239471,0.03769992,0.04771158,0.049637284,0.043496195,0.033592764,0.02414497,0.016821321,0.011178389,0.0066948594,0.0037158104,0.0026609956,0.0037097912,0.00609184,0.008959106,0.011751291,0.015942331,0.023289472,0.033841282,0.043326344,0.046349663,0.040376205,0.028496807,0.016300369,0.007907483,0.0038428137,0.0025236353,0.0022566055,0.0025255878,0.0037501352,0.0067741983,0.011272361,0.015716488,0.017537678,0.01585171,0.011475216,0.0069081984,0.0036321913,0.0020892986,0.0015404258,0.0014114128,0.0013961084,0.0020938169,0.0048592924,0.011853666,0.023729404,0.0390348,0.052826285,0.060430363,0.05862244,0.04901333,0.035639506,0.024028828,0.017707855,0.017776027,0.02245763,0.028675826,0.033762142,0.03699534,0.03886822,0.039652616,0.038319644,0.03419884,0.028044358,0.022924813,0.022430636,0.029296786,0.04177424,0.054152142,0.059071794,0.054842863,0.045605227,0.038001373,0.033967633,0.031068832,0.026326597,0.019784382,0.0138280345,0.0102220895,0.0107193375,0.017491838,0.034794495,0.062376592,0.096278824,0.12655361,0.1508646,0.16901632,0.18465102,0.18966395,0.17603694,0.14027585,0.09543111,0.058985427,0.042265683,0.043123737,0.05192325,0.061673556,0.06977725,0.076074146,0.07678739,0.0687635,0.05192195,0.032400545,0.016350433,0.007044614,0.003103409,0.0020380258,0.0018337346,0.0019148774,0.0024840187,0.004175401,0.0072677266,0.011063046,0.013878505,0.0142161,0.012005821,0.008597794,0.0055910903,0.0036599133,0.003118525,0.004931109,0.011351987,0.023686444,0.040172502,0.055169087,0.06258731,0.059607003,0.048269212,0.033566218,0.02015234,0.010692748,0.0053635254,0.0031314788,0.0027695186,0.0040706024,0.008937617,0.020464467,0.041575845,0.06909784,0.09529223,0.11027349,0.114945166,0.118749894,0.13467439,0.16162919,0.18615347,0.19107376,0.1731974,0.14518608,0.12493136,0.12271863,0.13460843,0.15219098,0.16733253,0.1798209,0.18974435,0.19790007,0.2007008,0.19540004,0.18065669,0.16034728,0.14029802,0.12485822,0.11353647,0.103413634,0.093785584,0.086366214,0.08289481,0.08100446,0.07739264,0.070515655,0.062392056,0.05544844,0.049706396,0.043828297,0.03669723,0.02948921,0.023504123,0.019259525,0.015904801,0.012758553,0.010174397,0.009364377,0.012010722,0.019344581,0.030957162,0.043984983,0.053423867,0.055585604,0.049575943,0.038698293,0.027156167,0.019866498,0.020604223,0.031845156,0.051382184,0.071421385,0.08204248,0.07799709,0.06297955,0.04635662,0.03611848,0.034152973,0.037005764,0.040423077,0.041669685,0.040720556,0.03835946,0.03658093,0.036095474,0.03715588,0.038266473,0.039653394,0.041176055,0.04298554,0.042769358,0.03985725,0.035271537,0.032588646,0.034492683,0.041564047,0.052319232,0.06291542,0.069879144,0.06971752,0.062664665,0.0502663,0.03696348,0.026051657,0.020196462,0.01920638,0.022047563,0.026965367,0.03233768,0.03630188,0.03762096,0.036848992,0.036316812,0.038627278,0.044294838,0.05105965,0.054970276,0.053020313,0.046313006,0.040415645,0.043844298,0.060352582,0.085468985,0.10554261,0.10930499,0.09482481,0.07209479,0.05262309,0.04176582,0.037116412,0.0344461,0.033469293,0.037287656,0.047854897,0.06175098,0.07146942,0.07182177,0.063465156,0.052640706,0.044457406,0.040557817,0.038170934,0.034677133,0.02864138,0.021262506,0.014169115,0.008945314,0.0058452548,0.0046460084,0.0050413855,0.0075046853,0.012568026,0.020122753,0.028925812,0.037574094,0.04543085,0.051741112,0.05486335,0.0520336,0.042770337,0.029921932,0.01920576,0.015513328,0.020432489,0.032174915,0.04542053,0.05457538,0.054968473,0.047795277,0.038586285,0.035139825,0.040034786,0.048970614,0.053330466,0.04789282,0.034711417,0.020871291,0.012610108,0.011000227,0.01313487,0.014941171,0.014775965,0.012956799,0.011031781,0.009529081,0.008404816,0.0073652975,0.006780093,0.007161706,0.00883267,0.011601792,0.015504326,0.021000719,0.029245352,0.040202934,0.05172369,0.059315924,0.05932123,0.05153379,0.03956313,0.028165923,0.020019861,0.0154959345,0.0138589395,0.01576209,0.022195274,0.034059342,0.049860585,0.06809495,0.085848354,0.100818455,0.10925286,0.1096595,0.101881646,0.08792236,0.06967875,0.049982857,0.03246842,0.020303613,0.014117149,0.012238895,0.013176217,0.01808473,0.030081332,0.051778916,0.08293257,0.12085711,0.16401167,0.21110244,0.26057777,0.3022039,0.3226966,0.30837378,0.26111752,0.19474147,0.13126598,0.0840966,0.05584274,0.040631555,0.033443883,0.032939505,0.038171466,0.04548088,0.04811174,0.04341914,0.034073424,0.027519524,0.027506312,0.034070026,0.04370893,0.054628998,0.0644868,0.070982985,0.07092609,0.064724624,0.055378284,0.046807867,0.039647043,0.03238433,0.02383411,0.015079055,0.008219873,0.0042606834,0.0026505075,0.0021586034,0.0019678823,0.0019551849,0.0042293104,0.013709505,0.037545938,0.07599153,0.11828824,0.14323409,0.13753277,0.10400603,0.061839115,0.028215112,0.0101061035,0.0039496287,0.005480099,0.014093299,0.030542925,0.05193135,0.069629945,0.07496,0.06547985,0.047435287,0.02981919,0.018124701,0.012247953,0.010922377,0.015449747,0.029934518,0.05538548,0.086049296,0.1095593,0.115653895,0.10203645,0.076421246,0.050078783,0.033457357,0.033849813,0.055264544,0.09609722,0.14588045,0.18794572,0.20700397,0.19925098,0.17397094,0.14693171,0.1300864,0.12568535,0.12868059,0.13133608,0.1289958,0.1218789,0.11418309,0.109423794,0.10580618,0.09803677,0.08247713,0.061715636,0.041685294,0.026887303,0.018423045,0.01695179,0.02617296,0.05185622,0.096527405,0.15397958,0.21052992,0.25239298,0.27447867,0.28013006,0.27518073,0.26043513,0.23349416,0.19390708,0.14781405,0.1059989,0.07917243,0.07331089,0.0858801,0.10590986,0.11805873,0.11224263,0.08925273,0.061124805,0.042918447,0.045554157,0.06947774,0.105190694,0.13796392,0.15684861,0.15970866,0.15156,0.13834581,0.12354953,0.10856966,0.09445431,0.08087707,0.06677047,0.05104403,0.035593826,0.02310604,0.015962498,0.014362459,0.01901883,0.031084782,0.050039362,0.07192272,0.0915791,0.1095647,0.1310084,0.1594215,0.18742377,0.20162332,0.19343026,0.16760449,0.13709609,0.112512104,0.096573256,0.08624201,0.07820032,0.07112042,0.06635907,0.06608676,0.07163166,0.079788856,0.084593914,0.080857165,0.07122616,0.062678434,0.06190014,0.06780624,0.075893186,0.08074564,0.0803926,0.0738746,0.062575266,0.04883005,0.035890672,0.02544268,0.018881885,0.01820811,0.026228085,0.042951945,0.063736476,0.08037076,0.08687995,0.083217494,0.07529507,0.06887412,0.064967014,0.05952324,0.049000114,0.034848277,0.0228519,0.018507402,0.022255652,0.030007696,0.036112916,0.038675454,0.039814547,0.04316562,0.049030405,0.05480902,0.058478963,0.061644297,0.06674836,0.073754996,0.07906223,0.07967267,0.074654005,0.06569753,0.05648702,0.05431701,0.06878349,0.10390904,0.15157829,0.19134225,0.20441175,0.18417208,0.14225525,0.09863896,0.07321604,0.07391561,0.09488789,0.11875579,0.12875868,0.11941605,0.09754818,0.07553206,0.060461026,0.054557193,0.05535681,0.06108874,0.067842185,0.071801096,0.069222696,0.06035425,0.04969955,0.043602806,0.045684632,0.053046823,0.05849184,0.055605624,0.04402779,0.028764486,0.01700768,0.014263019,0.023614982,0.043488752,0.0680734,0.08784306,0.09647594,0.09292689,0.082734376,0.071831726,0.06387545,0.058072597,0.05213942,0.046169307,0.043228433,0.04661343,0.055033267,0.063872315,0.069672465,0.072494924,0.07449674,0.07563615,0.07518768,0.07258916,0.06942982,0.06676978,0.06443476,0.06137414,0.057191808,0.052502155,0.047455773,0.041219015,0.03416029,0.030300284,0.037908733,0.061192375,0.095009536,0.122626066,0.12996085,0.114193566,0.088542365,0.06872956,0.064033836,0.07096685,0.08097124,0.08680689,0.08885489,0.09055373,0.094557196,0.09678185,0.09203074,0.07655265,0.054348126,0.031582255,0.014830743,0.0059813075,0.005310189,0.0127123855,0.027865082,0.04846059,0.06852293,0.08279621,0.08896626,0.090076,0.09060421,0.09456996,0.102598436,0.11334422,0.12362716,0.13349417,0.14332955,0.15592088,0.1675178,0.17495169,0.1719241,0.159625,0.13951603,0.11760208,0.09723503,0.08215514,0.07292379,0.06898457,0.06831885,0.06951538,0.0720528,0.07589213,0.080718435,0.08479357,0.086625226,0.084644735,0.07967826,0.07238325,0.0644102,0.05610259,0.04896659,0.045134265,0.048157204,0.060044587,0.07952931,0.101123,0.118422545,0.12753467,0.12885523,0.12540542,0.11930134,0.11205292,0.10555405,0.106467165,0.12077775,0.14895712,0.17892621,0.19592237,0.19129896,0.17113721,0.14605716,0.12450429,0.105897166,0.088446826,0.07200829,0.06196213,0.06400576,0.0793865,0.102270745,0.12155998,0.1296577,0.12472779,0.11212962,0.097416766,0.08526095,0.07774425,0.0756689,0.078388326,0.082524635,0.08358667,0.07670045,0.06142288,0.0411965,0.022704907,0.011569452,0.012303516,0.028224714,0.05998425,0.1020354,0.14359838,0.17331149,0.18630354,0.18153773,0.1619835,0.13015778,0.09611679,0.07313811,0.07705726,0.10868877,0.15552682,0.19437097,0.21415396,0.2156399,0.20739996,0.19158654,0.16754723,0.13922669,0.1152853,0.10463565,0.106430925,0.11451372,0.11865274,0.114771724,0.103951,0.09329367,0.08663824,0.083296664,0.077928044,0.06866534,0.058344845,0.052883167,0.054392073,0.059580073,0.062201127,0.058814812,0.050910503,0.043643508,0.04130095,0.045337096,0.05298668,0.059990775,0.062176585,0.059103306,0.053087622,0.048348203,0.047126535,0.049678665,0.05379032,0.05715638,0.0580772,0.056963954,0.055400655,0.05482982,0.055252492,0.055926275,0.056836788,0.059478883,0.06594405,0.077716835,0.094316065,0.11285468,0.12912594,0.13926108,0.14213376,0.13771701,0.12753005,0.11327859,0.09900836,0.08748943,0.07974576,0.074102625,0.07209662,0.076656364,0.0901103,0.10664341,0.11699858,0.11289707,0.09534055,0.07158993,0.05083846,0.03699219,0.028848385,0.022493182,0.016074046,0.009943654,0.0061562653,0.006364575,0.012215803,0.024640484,0.04323553,0.064522676,0.0824179,0.09084764,0.088252105,0.07859454,0.06905441,0.06442616,0.065781474,0.07052329,0.07527704,0.07636613,0.07122182,0.059721056,0.04403634,0.029251812,0.021252425,0.0281533,0.055478346,0.10275271,0.15730551,0.19917464,0.21138735,0.19148086,0.15273167,0.11305495,0.08484012,0.06879955,0.060857642,0.056339975,0.054871555,0.05716252,0.063143216,0.07036129,0.07554837,0.07815338,0.0808269,0.08719652,0.096273236,0.10141054,0.09517339,0.0765955,0.05317579,0.035564315,0.030877411,0.03883636,0.053640414,0.06698888,0.07402947,0.0748596,0.075111024,0.08035055,0.092863224,0.1084927,0.119392306,0.11868936,0.106335916,0.08846811,0.07258835,0.061425734,0.05473296,0.052606683,0.058001358,0.071533106,0.08835319,0.09877953,0.09553221,0.07899154,0.057805687,0.043633714,0.04453361,0.06049599,0.08355036,0.10269582,0.110292636,0.106113106,0.09515002,0.082902186,0.0712504,0.05979762,0.04847144,0.039538532,0.03552577,0.03670293,0.03992298,0.041237008,0.039410207,0.037748992,0.04234014,0.05695117,0.08145008,0.10971457,0.13587321,0.15253325,0.15737748,0.14825276,0.12960787,0.10644219,0.08654714,0.072621815,0.06422467,0.05758993,0.05141792,0.04702701,0.046842832,0.050594267,0.055121586,0.0566308,0.053488884,0.04627797,0.0369366,0.02764459,0.020865655,0.018325882,0.020646105,0.027299875,0.03812546,0.053479094,0.0748701,0.101456456,0.12964219,0.14990364,0.15505446,0.14248133,0.12010371,0.09683537,0.07990304,0.0695517,0.063705005,0.059056323,0.053601485,0.047289666,0.04219458,0.040580615,0.04229383,0.044582844,0.045066256,0.044148773,0.04407901,0.04640797,0.050078824,0.053568766,0.055385366,0.055365626,0.053109586,0.049614284,0.048198644,0.05428802,0.07170024,0.09693307,0.11936746,0.12727743,0.118594915,0.10291865,0.094159454,0.09785253,0.108148746,0.1143617,0.112338744,0.10540316,0.09971558,0.09682662,0.09700481,0.10291984,0.12048682,0.14948817,0.18070857,0.19961365,0.20035946,0.18574186,0.16574383,0.14544699,0.12891562,0.116117716,0.10842505,0.1029711,0.09676839,0.086721145,0.07400327,0.061761405,0.052633088,0.0476667,0.046726435,0.05040657,0.05781494,0.06660914,0.07281382,0.07460559,0.07253676,0.069683135,0.06776795,0.067804456,0.06871322,0.07071689,0.07274275,0.074286915,0.07303366,0.06890116,0.06262632,0.056750927,0.051670793,0.04651809,0.039493717,0.03112664,0.023765506,0.020432958,0.021918753,0.026937285,0.033289287,0.039553195,0.04488909,0.047728922,0.046545807,0.040836994,0.033434156,0.028079795,0.027605148,0.031254727,0.03639798,0.04018644,0.041269947,0.03993993,0.037725613,0.036552873,0.03817747,0.043155476,0.050886054,0.058991555,0.064748436,0.06647804,0.06438549,0.060013454,0.053813834,0.045965407,0.036058355,0.025525302,0.01578725,0.008577728,0.004106514,0.0026923595,0.0050981105,0.013714259,0.029314995,0.048870564,0.064094014,0.06821079,0.060879182,0.050827485,0.047624853,0.055153202,0.067817755,0.07641553,0.07411733,0.061541077,0.04535758,0.03466724,0.03420718,0.041952122,0.04988794,0.051865917,0.047381412,0.041966517,0.040564477,0.044139862,0.050085466,0.05537035,0.0585435,0.058394462,0.05398329,0.045029234,0.033532016,0.023290792,0.017671362,0.018187119,0.02325999,0.03015834,0.035810977,0.03926764,0.040935677,0.04191939,0.042358685,0.041965503,0.041452426,0.04242188,0.04640993,0.052398175,0.057985548,0.06040409,0.060133766,0.05932541,0.06108738,0.064822756,0.068405814,0.06849941,0.06512255,0.05919595,0.052697364,0.046053264,0.039787516,0.034226615,0.029600693,0.02581565,0.022401832,0.019854588,0.018971182,0.021168398,0.026432684,0.03326304,0.038265634,0.038479958,0.0331671,0.024364179,0.016342595,0.0147366375,0.027221823,0.058940813,0.107134975,0.15560172,0.18466337,0.18267034,0.15713722,0.12422351,0.09875143,0.0831385,0.07429857,0.0681073,0.065646656,0.068984814,0.07797951,0.087388575,0.090362035,0.08341325,0.06849479,0.051065695,0.03617346,0.02736397,0.025954658,0.031211415,0.03994591,0.048278615,0.053450327,0.054763377,0.05314291,0.050029725,0.046593428,0.042857815,0.037996132,0.032030676,0.026929772,0.0264554,0.03227986,0.04255907,0.051755384,0.05565719,0.05322735,0.047152776,0.040876683,0.037166987,0.03736875,0.04053527,0.044257637,0.04572876,0.045142114,0.044927016,0.0481496,0.05453532,0.06110881,0.0647726,0.065716416,0.067139365,0.071182914,0.07700672,0.08097055,0.08155149,0.07891518,0.07496651,0.06970645,0.064510226,0.06121834,0.06314591,0.06982099,0.07789778,0.08168154,0.07812473,0.067910336,0.055387404,0.045943145,0.043101665,0.04719663,0.0549227,0.061565857,0.06337481,0.059673224,0.052486032,0.04420535,0.03618079,0.028827624,0.023189329,0.02107467,0.023789734,0.0306627,0.038887836,0.044760525,0.045838073,0.041619048,0.034003776,0.0260913,0.022252487,0.02636897,0.039310485,0.05707277,0.07225171,0.07980483,0.0795619,0.07607722,0.07314365,0.07246971,0.07212824,0.07008767,0.06417365,0.05537786,0.045781482,0.039421108,0.03790473,0.041217834,0.046439726,0.052230556,0.05864268,0.06734807,0.07767877,0.08661624,0.09065666,0.08825615,0.08141754,0.073120154,0.06648732,0.061798673,0.058610525,0.05703838,0.058843244,0.06478968,0.07197818,0.07612736,0.07504073,0.0718573,0.072212555,0.08065928,0.09526816,0.1087132,0.11310953,0.108971626,0.10385531,0.104351334,0.107340924,0.104454674,0.0927347,0.079024725,0.07305855,0.076845445,0.085047655,0.09306709,0.10498204,0.12781979,0.16093929,0.19253306,0.20898569,0.2076921,0.19727047,0.1921097,0.2010504,0.22264786,0.24164651,0.23830701,0.20520902,0.1571851,0.12109228,0.111110725,0.11787194,0.11957834,0.1044435,0.07906229,0.05905736,0.054002583,0.06094533,0.07033795,0.07362581,0.06969354,0.06281751,0.061062396,0.070400424,0.09163315,0.1166487,0.13303177,0.13273256,0.119843155,0.104900695,0.094555885,0.08482926,0.06977353,0.049031686,0.030368797,0.021943241,0.027774567,0.046414554,0.0717589,0.094590485,0.105693124,0.10200653,0.08918371,0.07708844,0.07225809,0.0733789,0.07685297,0.081401564,0.089761704,0.10134256,0.110545605,0.10974906,0.09761283,0.079690956,0.06386732,0.054110054,0.04955781,0.04711849,0.044117436,0.04001063,0.036090996,0.03436887,0.03606562,0.042333666,0.056648422,0.08421636,0.12495041,0.16822863,0.19467933,0.19190525,0.16223104,0.12401805,0.0960463,0.08978221,0.10248139,0.122378625,0.13539177,0.13483423,0.12588789,0.11726231,0.114103906,0.111299045,0.104962446,0.09441946,0.086443864,0.08403432,0.08692735,0.08944607,0.087522455,0.07957593,0.06887147,0.060527805,0.058452863,0.06272837,0.07008629,0.07672762,0.07958493,0.07866686,0.07621047,0.07645398,0.080426805,0.0860989,0.08901145,0.08826244,0.085418485,0.08329937,0.081168495,0.07672199,0.06770886,0.05561829,0.043606024,0.034593657,0.028450234,0.0235272,0.018220786,0.012595191,0.008036199,0.0071641225,0.013942681,0.03158624,0.05930112,0.08867732,0.10863322,0.11209703,0.10302607,0.090402015,0.08181951,0.07772851,0.07605365,0.074241005,0.07070199,0.06310715,0.05153091,0.03901015,0.030173115,0.026088154,0.024619302,0.023657696,0.024226451,0.028099617,0.03424634,0.038269904,0.036534626,0.029107286,0.019759363,0.012281091,0.008770009,0.00937173,0.01360583,0.020409398,0.027950486,0.033884067,0.036660403,0.036499266,0.03500912,0.03340727,0.031698633,0.029150331,0.025960563,0.022956304,0.020926215,0.019384008,0.017822815,0.01606554,0.01485671,0.014537994,0.015073687,0.015961343,0.016852625,0.017593946,0.018254792,0.019460583,0.022144118,0.02690096,0.032999177,0.03862619,0.04230693,0.04358256,0.0425708,0.038804274,0.03195634,0.022992471,0.015529315,0.015189263,0.028198019,0.05576421,0.090304665,0.11613679,0.12127108,0.106191285,0.083395116,0.06484335,0.05418427,0.048501093,0.045433957,0.045947015,0.05036186,0.05659755,0.059922244,0.058833536,0.054716304,0.05205369,0.052165415,0.053825546,0.053293694,0.049552336,0.04403935,0.040536266,0.041003466,0.044835184,0.048606273,0.04931946,0.045970026,0.039919693,0.033297174,0.027959613,0.02519094,0.02512494,0.026665485,0.02746713,0.02587367,0.021437258,0.015595738,0.009896346,0.0063820095,0.008176122,0.0214132,0.052093476,0.09945506,0.15068169,0.18619041,0.19226117,0.17000686,0.1319327,0.092622876,0.06218921,0.046657104,0.046730977,0.058915105,0.07584541,0.09493369,0.116941094,0.14377958,0.16883387,0.1826059,0.17906277,0.16287224,0.14286008,0.12539622,0.11093005,0.099743426,0.094157256,0.0982632,0.111160874,0.12745632,0.13958925,0.14349371,0.13890265,0.12752756,0.11288885,0.09930641,0.09220874,0.09296832,0.09816742,0.099590234,0.09095866,0.071821,0.048440833,0.02900234,0.018106826,0.015570643,0.017670019,0.021530405,0.024885466,0.027612971,0.029512448,0.03204261,0.03513017,0.037892025,0.038765416,0.040658917,0.05077455,0.07516827,0.11140285,0.14813934,0.17364626,0.18289655,0.1784631,0.16495357,0.14575633,0.12322917,0.10093516,0.08395714,0.07749171,0.08295788,0.09589366,0.10651804,0.1068243,0.09622157,0.082497895,0.073942624,0.07289644,0.07467326,0.07439981,0.07115919,0.0680104,0.06698751,0.067605525,0.06759062,0.06635532,0.06547343,0.06849101,0.076713644,0.088425726,0.097618856,0.09997641,0.09507743,0.088181905,0.08465743,0.08550369,0.08688026,0.08330836,0.07334422,0.059326828,0.04652382,0.038947638,0.038089078,0.043141693,0.051944997,0.063039444,0.07289961,0.07772444,0.07367215,0.063270606,0.05217662,0.04667599,0.04654279,0.04865558,0.048922136,0.047037024,0.043894757,0.040883627,0.03784724,0.03404848,0.029276503,0.024583645,0.021813715,0.021550039,0.022519933,0.022769138,0.021882093,0.021659985,0.024060221,0.02940456,0.035469994,0.03987811,0.04088148,0.038571548,0.03315517,0.025750903,0.01755329,0.010547396,0.006318565,0.006238719,0.011123624,0.020394206,0.03166479,0.040876236,0.045091614,0.04359212,0.038278867,0.03147097,0.024870938,0.019236557,0.015134635,0.013468187,0.014600913,0.01789171,0.021002943,0.021933159,0.019600565,0.015262537,0.010931306,0.009061737,0.011019543,0.016548442,0.023687145,0.029314036,0.03156594,0.030011036,0.026406115,0.022466032,0.020120485,0.019915642,0.021593526,0.023405852,0.02393689,0.022738466,0.020960616,0.019956978,0.020576792,0.022661911,0.025777057,0.029277451,0.032850545,0.035853546,0.037668567,0.037363533,0.034798548,0.030772658,0.02689006,0.024416288,0.023466712,0.023359234,0.023369757,0.023274412,0.023333265,0.023508614,0.023694733,0.0233291,0.022646094,0.022157049,0.022776922,0.024561504,0.026694747,0.028112404,0.028153555,0.027805177,0.028359069,0.03076809,0.033278063,0.033475112,0.029968387,0.024713999,0.020605916,0.019398315,0.02063314,0.023482485,0.027187502,0.030736385,0.03222991,0.030791143,0.027386457,0.024471909,0.023541769,0.024664335,0.02712062,0.029827317,0.031385873,0.030174097,0.026732534,0.023827106,0.02411177,0.026867045,0.029018758,0.030266846,0.034937397,0.046605308,0.061939973,0.07181213,0.07247861,0.07065797,0.075999,0.08862141,0.095788665,0.08697767,0.06250416,0.035780173,0.018303325,0.015071456,0.021365777,0.029960642,0.03348085,0.029654257,0.020457214,0.011025165,0.0045689084,0.0017220258,0.00088842405,0.00077483134,0.000726319,0.00068762666,0.00068146765,0.000737935,0.0008788651,0.0011421634,0.0023136286,0.0071895183,0.021087969,0.04812454,0.084920734,0.117792614,0.13024595,0.11558103,0.08268873,0.048810247,0.028615981,0.030243307,0.059075594,0.11607536,0.19208235,0.26368645,0.30701014,0.31254664,0.29271105,0.26702574,0.24862854,0.23781402,0.23018228,0.22209872,0.21232139,0.20000468,0.18473522,0.16746277,0.14982218,0.13308576,0.11750292,0.103318565,0.090764426,0.08006666,0.0704978,0.061394677,0.052171137,0.044048175,0.041304037,0.05192596,0.08334289,0.13120313,0.17735255,0.19673239,0.18103085,0.14220001,0.105595745,0.085579805,0.08123505,0.08257112,0.08365017,0.08652574,0.092230015,0.09758812,0.09283325,0.075131245,0.048537683,0.024594778,0.009265182,0.003141525,0.0016399523,0.0018151627,0.0023391156,0.003190592,0.00420096,0.0050252615,0.0055690804,0.005892676,0.006257888,0.006720941,0.007346999,0.008135109,0.009169255,0.010319711,0.011294812,0.012244444,0.014609662,0.021188864,0.033572145,0.049515337,0.06224956,0.06519347,0.056993347,0.043378737,0.032591823,0.028840711,0.029973956,0.029956596,0.02537015,0.016962806,0.008781403,0.0033532449,0.0013247275,0.002141529,0.006430272,0.014915407,0.02637489,0.03639221,0.039827947,0.035012275,0.025805175,0.019467914,0.021599784,0.03219752,0.045166355,0.052348476,0.049295604,0.038538095,0.027385548,0.021653311,0.021652661,0.022850676,0.02109927,0.015657032,0.009285961,0.0050262627,0.0043521896,0.006753381,0.010457615,0.013510986,0.014467429,0.013428259,0.0114636235,0.0099620065,0.00958604,0.010264733,0.011420835,0.012057637,0.011462047,0.009425143,0.007972759,0.010904871,0.023513123,0.04627962,0.073604606,0.09452233,0.10448659,0.10800875,0.114362925,0.12484572,0.13008285,0.12002495,0.09314757,0.059616774,0.030434676,0.012200725,0.0035408223,0.0007792947,0.00052030984,0.0028589463,0.011461475,0.031920377,0.06647613,0.10840309,0.14362206,0.15981592,0.15630652,0.14205325,0.12625557,0.11047808,0.0923102,0.07149535,0.052488733,0.040943738,0.041893583,0.058057796,0.088166624,0.12265092,0.14764303,0.15136214,0.13398974,0.10431876,0.07534837,0.054461677,0.043545123,0.039150745,0.037994538,0.038235426,0.040210173,0.044775367,0.052403342,0.06169339,0.06916825,0.07139211,0.06970768,0.06970743,0.07635472,0.0871493,0.09494565,0.09317309,0.081530966,0.06317183,0.043148402,0.025278779,0.013756535,0.011262718,0.019785395,0.03586753,0.05232531,0.058722124,0.0519651,0.036139283,0.021936784,0.01483231,0.014722899,0.01603322,0.015449122,0.01216269,0.008109319,0.004647424,0.0024422223,0.0012068538,0.0010685018,0.0052641076,0.021353865,0.059297662,0.11817875,0.18072324,0.21592627,0.2055272,0.15512945,0.09468175,0.05260794,0.043856874,0.061690655,0.08835521,0.10262027,0.0948812,0.06942686,0.04199243,0.025963143,0.027059512,0.040680137,0.057153687,0.065513685,0.060941875,0.047802117,0.03855349,0.045350105,0.07097593,0.104794145,0.12788133,0.12642124,0.10185563,0.070412576,0.05067869,0.051161636,0.06586958,0.080642514,0.0832751,0.07153734,0.052933034,0.039200604,0.03925244,0.055328805,0.082883716,0.11234846,0.13354465,0.13960454,0.12910129,0.10632708,0.07798739,0.052634984,0.035112735,0.027182689,0.025045564,0.025502874,0.026445324,0.02817785,0.029753452,0.028754225,0.023829592,0.016445797,0.011027134,0.010826241,0.015868342,0.02238983,0.025598563,0.023238907,0.016795104,0.010669049,0.008608394,0.011891444,0.018401364,0.024218678,0.02573842,0.02211945,0.01589258,0.011445422,0.012389976,0.019261666,0.029220276,0.037468348,0.04042868,0.037861854,0.032346796,0.026752679,0.022224879,0.019196251,0.018563386,0.021419445,0.026802147,0.03122051,0.031559844,0.028118817,0.02498742,0.025752895,0.03083711,0.036788955,0.040420562,0.039954737,0.03661223,0.03249856,0.032126892,0.04004954,0.059069876,0.08444386,0.105324596,0.1104329,0.09824232,0.07862305,0.06550888,0.06552914,0.07346209,0.07866863,0.07396945,0.060807962,0.045481395,0.03372641,0.02726297,0.02490376,0.025721578,0.028983856,0.03379923,0.037486702,0.038929746,0.039550487,0.04199786,0.046551455,0.04987466,0.04976106,0.046038475,0.04135026,0.03602651,0.030097028,0.023087164,0.016624277,0.011919544,0.009944926,0.010925272,0.014436498,0.019229917,0.023171604,0.025896475,0.027764013,0.030034995,0.03194992,0.033165365,0.03311458,0.032114837,0.02967342,0.025829434,0.0219556,0.020643935,0.024161017,0.031920742,0.04056074,0.04519239,0.044089604,0.040445518,0.040936317,0.049615145,0.06510317,0.082700975,0.098546006,0.11020867,0.114528716,0.1085926,0.09335389,0.07484733,0.060035113,0.052103262,0.0503282,0.05167344,0.05269465,0.05030265,0.04499422,0.041186307,0.042703208,0.048138797,0.050661623,0.046912063,0.039192677,0.034398742,0.034827437,0.03848009,0.040548086,0.038936865,0.033470362,0.025909426,0.01787469,0.011266556,0.0069614667,0.0053933295,0.00638462,0.009422346,0.01365564,0.017829636,0.021799782,0.025637979,0.029931903,0.03516096,0.044427764,0.06280053,0.09283789,0.12958132,0.1609891,0.17648579,0.17237389,0.15288001,0.12490373,0.09546048,0.070045,0.051915366,0.041943926,0.03908004,0.04182585,0.047620445,0.052874964,0.054087866,0.05048204,0.044377014,0.03895217,0.035536785,0.033832274,0.033935297,0.037266865,0.04478918,0.054705963,0.06314695,0.06661876,0.06464745,0.05891269,0.051867183,0.044830192,0.03834712,0.032479867,0.02826087,0.02777944,0.03384273,0.04757676,0.06772927,0.090456285,0.111013435,0.124601685,0.1287129,0.1250673,0.11884842,0.11428233,0.1102327,0.10227024,0.08773547,0.06954442,0.052925393,0.041571114,0.03587882,0.035116225,0.038007412,0.04232509,0.04442744,0.042239334,0.03670254,0.03152591,0.029405968,0.030464282,0.032863203,0.034837704,0.036487192,0.03892832,0.04344526,0.049824785,0.057151895,0.06507096,0.07512135,0.08851102,0.10477284,0.11926886,0.12903155,0.13043123,0.123957604,0.10702017,0.08303674,0.05597861,0.034973852,0.023159513,0.021628642,0.02594775,0.032342117,0.03603527,0.036569897,0.035969976,0.037402455,0.0403281,0.042313654,0.04317994,0.044945415,0.049577374,0.054614354,0.05833837,0.05953348,0.060597476,0.06135756,0.06323048,0.06469072,0.06516892,0.060660794,0.051886883,0.04260708,0.038798124,0.04048713,0.042884618,0.042643607,0.04129712,0.042937834,0.04750399,0.050873887,0.04918255,0.04254521,0.03591099,0.03363414,0.03819916,0.046861097,0.056658495,0.064136125,0.06952597,0.07284811,0.07544867,0.076518364,0.076552786,0.07528641,0.07423351,0.07272548,0.07050731,0.06662429,0.063405834,0.06321919,0.067538984,0.07402542,0.079304166,0.08089131,0.07908099,0.07514762,0.070543356,0.06565282,0.06138781,0.058581382,0.05845438,0.06118828,0.06661848,0.07435759,0.08388895,0.09307948,0.0983879,0.09693638,0.091020085,0.086148955,0.08821059,0.09617686,0.10647446,0.11379886,0.11829734,0.12073732,0.12314842,0.12478014,0.12495748,0.12409926,0.12320989,0.12232092,0.11859419,0.11036699,0.09968405,0.09228506,0.09261221,0.09954423,0.107381456,0.1094461,0.10327485,0.09105549,0.0787958,0.0713169,0.07036085,0.07229668,0.07251,0.06790864,0.0614493,0.059151698,0.06756165,0.08837971,0.11814704,0.14765815,0.16720186,0.17014521,0.15978271,0.14405571,0.13105956,0.12008998,0.10825721,0.09464317,0.083728276,0.07858757,0.077570796,0.077933334,0.0779716,0.078680485,0.07737162,0.07208745,0.06137891,0.04945424,0.040305097,0.036903486,0.03833906,0.041919302,0.04462053,0.04439861,0.041740254,0.04038438,0.04744354,0.07010008,0.108341105,0.15149531,0.18187253,0.18861787,0.1741428,0.15231223,0.13525926,0.12845515,0.13012095,0.13668819,0.1452779,0.15360408,0.16086455,0.16469282,0.16310681,0.15323825,0.13502155,0.11204638,0.09047943,0.07670304,0.07212613,0.075924724,0.085279636,0.09820363,0.10966136,0.113022245,0.104468904,0.08720455,0.06992725,0.05858861,0.05428582,0.053322762,0.05369683,0.053858276,0.054323968,0.054556027,0.055350184,0.05644485,0.057780687,0.05896619,0.060550287,0.06314732,0.06565679,0.06642758,0.06419363,0.06082654,0.059461206,0.06253901,0.06980575,0.077829964,0.08439824,0.087093234,0.08643814,0.08052163,0.070670284,0.05879636,0.05168127,0.055242468,0.07308679,0.10063068,0.1268779,0.13974762,0.1359541,0.12128069,0.10525277,0.09150666,0.07925543,0.06643532,0.05416921,0.044333372,0.03853126,0.038189605,0.044204343,0.055308912,0.066265285,0.07196995,0.07050293,0.065290816,0.059529457,0.054924805,0.04982926,0.04486938,0.04262818,0.048280466,0.062935166,0.08241572,0.09795592,0.10425607,0.10199875,0.097436756,0.09720246,0.107855074,0.1335246,0.16970402,0.20225744,0.21389656,0.20418608,0.18611932,0.17672803,0.17553817,0.17400765,0.16410953,0.1478882,0.12912054,0.10975551,0.09176605,0.07876932,0.07474759,0.07828563,0.084621154,0.087457925,0.084002465,0.07503298,0.064088225,0.056606542,0.056994397,0.0697899,0.092920244,0.11927003,0.13554257,0.13556795,0.121479504,0.1032328,0.0859709,0.070076644,0.053971857,0.041140784,0.03777325,0.048293073,0.07036976,0.09590193,0.115323365,0.1246416,0.12673865,0.1277554,0.12962401,0.12846215,0.11972555,0.103678964,0.08692882,0.07524232,0.07037153,0.06880736,0.06823016,0.06861651,0.07199237,0.077251375,0.08272356,0.08981518,0.10880112,0.1466412,0.19574672,0.22900341,0.22469454,0.18681717,0.1452126,0.12629908,0.13107415,0.14009179,0.13576172,0.11681969,0.09285706,0.07254434,0.05914248,0.052741807,0.054191396,0.062577166,0.0751631,0.086974345,0.09532211,0.099762015,0.10080772,0.09768657,0.08980429,0.08035171,0.075328134,0.07942409,0.09178048,0.107904844,0.122338556,0.13098691,0.1306458,0.12283505,0.11207673,0.105744846,0.10564635,0.110393934,0.11344335,0.11082604,0.10040476,0.0861673,0.0725046,0.06411419,0.062846094,0.07103878,0.08757046,0.10723839,0.121659316,0.1272694,0.12676847,0.1254716,0.12490948,0.124197476,0.12262914,0.121645816,0.12184361,0.122573555,0.12230616,0.12242798,0.123833895,0.12631324,0.12376815,0.11332259,0.09587601,0.079602964,0.07005162,0.068719834,0.07117694,0.07221336,0.06941553,0.06561199,0.06570501,0.072242685,0.08208603,0.091521226,0.09876875,0.106991135,0.11778016,0.1299664,0.13755436,0.13633563,0.12673394,0.11513621,0.10916123,0.11308396,0.12614317,0.14246584,0.15462725,0.15708268,0.14970164,0.13678694,0.12329969,0.11348312,0.10922203,0.1105966,0.11430394,0.11764731,0.122093104,0.13127907,0.1460431,0.15859051,0.16118239,0.15034287,0.13283843,0.11650231,0.10696132,0.10323348,0.101074435,0.09588221,0.08596837,0.074394666,0.06691393,0.06758773,0.075409256,0.08485166,0.09151656,0.093990855,0.094628714,0.09503024,0.09606949,0.09598706,0.09258165,0.084051035,0.07160358,0.05874485,0.048864335,0.043373242,0.041422848,0.04183966,0.042740207,0.042896505,0.040569857,0.036107447,0.029968282,0.02393275,0.018161634,0.0145675605,0.01628621,0.029365286,0.054757405,0.08872342,0.12368805,0.16159564,0.20783019,0.26326883,0.3092812,0.3222672,0.29057473,0.22819477,0.16021176,0.10595125,0.0688253,0.043905515,0.025865981,0.013658452,0.0072789895,0.0064002387,0.008934063,0.012639001,0.015251316,0.016293729,0.016802466,0.019347342,0.025886113,0.03807118,0.05666353,0.08147359,0.10973847,0.13507886,0.14990042,0.14872657,0.13437602,0.116956525,0.108207524,0.111319296,0.11917659,0.12232536,0.11770075,0.109621115,0.103391446,0.10169723,0.10679141,0.1200158,0.14088218,0.16302371,0.1790843,0.18340625,0.17652534,0.16404754,0.1535059,0.14887236,0.1477198,0.14479524,0.13750847,0.12623757,0.11204795,0.09478125,0.076218545,0.059342727,0.046429064,0.036378544,0.027324297,0.018697541,0.011759464,0.007359639,0.005335266,0.004755016,0.0048530605,0.005027173,0.005051179,0.005440052,0.008178558,0.016204001,0.031403933,0.051301975,0.068898015,0.07622489,0.07078221,0.05688885,0.042203408,0.031581808,0.025743784,0.023574373,0.024225064,0.02709051,0.030132309,0.0314869,0.030358901,0.028132366,0.025889127,0.023787787,0.021177784,0.01796944,0.015139264,0.014246357,0.018000802,0.028460056,0.045969624,0.06586417,0.08151412,0.08650003,0.080197416,0.067131236,0.058037322,0.06579637,0.09920299,0.15300764,0.20557608,0.2310466,0.21752648,0.1755807,0.127197,0.08952132,0.06680589,0.055710662,0.051972266,0.05290817,0.05626529,0.059908997,0.06334112,0.06749351,0.074288376,0.08483985,0.09853821,0.1119496,0.11956508,0.117374934,0.10617264,0.09163505,0.08040094,0.0759384,0.07764084,0.0820168,0.08606749,0.088922106,0.09230838,0.09708101,0.10154998,0.10244047,0.09933105,0.094967626,0.09206337,0.08933791,0.08357683,0.073652506,0.06219794,0.052900832,0.04717362,0.044504162,0.042990744,0.041479927,0.03884427,0.03553718,0.032562044,0.031435076,0.032838333,0.037195995,0.046138544,0.061569482,0.082970895,0.103470765,0.113622464,0.107723586,0.09018641,0.0705092,0.056827337,0.049646,0.04614662,0.043062884,0.040440295,0.038684696,0.038259044,0.038042318,0.036937352,0.034173686,0.030473476,0.027752856,0.028253997,0.03274515,0.03986521,0.046445664,0.05037954,0.051645134,0.053187653,0.05758065,0.06527847,0.073315345,0.077553205,0.07635302,0.07164091,0.06914261,0.07295707,0.084004484,0.09760847,0.10849357,0.11291421,0.110735804,0.10287704,0.09051558,0.07550198,0.06085748,0.04999696,0.044929888,0.045949195,0.05071582,0.055115324,0.054345492,0.04743072,0.037665293,0.031275503,0.032317538,0.041821167,0.057901483,0.07636249,0.09126264,0.09821098,0.10021848,0.107126,0.12670326,0.15459834,0.17627804,0.17976572,0.1664991,0.1469449,0.13069849,0.11743847,0.10379062,0.08678949,0.06998229,0.05586959,0.04682095,0.042081535,0.04310112,0.04993834,0.06018861,0.06708336,0.065411456,0.056938335,0.049895804,0.051652122,0.060956568,0.06942338,0.07014034,0.065103136,0.06340436,0.069865346,0.08043665,0.08539212,0.082913235,0.079549216,0.084095895,0.097322695,0.11391427,0.12803487,0.13577193,0.1339358,0.12247311,0.10803134,0.1030908,0.115015626,0.1397147,0.16231926,0.16920798,0.1556574,0.12876235,0.10026917,0.07965827,0.0687071,0.0637475,0.05997549,0.055293888,0.05026726,0.046758164,0.046445277,0.049589913,0.054083064,0.0567825,0.056722086,0.056561664,0.05974546,0.06573013,0.07034433,0.07010626,0.06699287,0.065134354,0.06706796,0.069895074,0.07053706,0.066886,0.061057974,0.055183712,0.051747244,0.050983712,0.051705033,0.051707968,0.048972342,0.043942004,0.038878407,0.03821342,0.04415139,0.055809934,0.067248814,0.07308697,0.07095372,0.06427948,0.057519376,0.052843977,0.048944075,0.04340446,0.036363628,0.0294979,0.025243886,0.023441201,0.022584902,0.020354472,0.016541269,0.013430717,0.015346599,0.025253847,0.0408403,0.05475055,0.058708623,0.051323693,0.037522167,0.025598511,0.019903013,0.022273568,0.03230839,0.049193442,0.06999899,0.08952123,0.104077995,0.11246944,0.11800393,0.12107229,0.11924138,0.10882912,0.09478148,0.09023497,0.10419621,0.13131967,0.15062715,0.14634079,0.11650642,0.07777632,0.047178775,0.035055805,0.03803931,0.04715615,0.05290407,0.05159771,0.04464109,0.036940023,0.033120964,0.03638572,0.04739195,0.06429985,0.082896836,0.09679932,0.1006329,0.09240815,0.07605777,0.058327567,0.044885453,0.03764086,0.035297323,0.03635929,0.03883793,0.041752134,0.043841984,0.04694211,0.052874804,0.062846504,0.07305847,0.07967704,0.08106357,0.080225386,0.078954786,0.07557067,0.0662191,0.050324004,0.032137413,0.017868249,0.012164055,0.01691004,0.032096893,0.055728894,0.08361158,0.10998625,0.12883545,0.13569993,0.12845713,0.10967973,0.085827,0.0649813,0.051544297,0.04532068,0.043190885,0.04313977,0.045246568,0.050984457,0.060474228,0.070786305,0.077507384,0.078410804,0.07672588,0.0768983,0.080595024,0.08405497,0.08457666,0.08254209,0.08134842,0.08108413,0.078709856,0.07122308,0.060609605,0.05371867,0.05548981,0.064011,0.06960533,0.0643913,0.048096713,0.029471865,0.018919053,0.023721391,0.044550072,0.07477195,0.10156938,0.11274317,0.104741864,0.08511428,0.06556811,0.054889604,0.055829693,0.068495214,0.089337714,0.11237538,0.12953542,0.13781148,0.13937245,0.1381777,0.13414228,0.12380031,0.10659772,0.08712212,0.07399691,0.07288343,0.083228014,0.09849876,0.110725105,0.11743617,0.12034706,0.12365866,0.12675996,0.12808411,0.12503907,0.117619395,0.105814226,0.091710515,0.07994623,0.07575979,0.08098193,0.09143963,0.10069514,0.103832185,0.100139916,0.09145075,0.0802479,0.06858134,0.05794035,0.049706668,0.044621155,0.042451173,0.042232547,0.04292186,0.044979468,0.049314618,0.059066903,0.07801486,0.11271056,0.16179825,0.21414082,0.24603884,0.24406755,0.21240772,0.17525007,0.15313272,0.15420258,0.17103505,0.1916892,0.20377819,0.2004786,0.18034561,0.15033169,0.11985653,0.09928768,0.09140432,0.09335756,0.09729559,0.101054005,0.10795551,0.12270538,0.14131911,0.15348275,0.15295863,0.1445014,0.13842405,0.13746308,0.13521917,0.12314033,0.10152628,0.07750067,0.060186327,0.053101566,0.05499244,0.06039126,0.06545337,0.07020357,0.07997612,0.097771,0.11983984,0.13444673,0.13274847,0.1143528,0.08859334,0.06482309,0.04847497,0.03955842,0.037125383,0.038928494,0.042614248,0.044786643,0.04411562,0.04096688,0.037813406,0.03656317,0.038374472,0.04314914,0.051726136,0.064755015,0.08314675,0.10353357,0.12144994,0.13007468,0.12733851,0.114352085,0.09892281,0.09019544,0.09472295,0.11073637,0.12894665,0.13962771,0.13921787,0.13209811,0.12588805,0.12449783,0.12638879,0.12603477,0.1205171,0.10995562,0.096779585,0.08246187,0.06952057,0.062066283,0.06248777,0.06784257,0.07067018,0.067815244,0.063083574,0.06298072,0.068123646,0.073390566,0.07634095,0.08108314,0.092167966,0.106442906,0.11336345,0.108710445,0.09731171,0.091294326,0.09457644,0.10349494,0.1083057,0.10365195,0.09076566,0.076007485,0.06554815,0.059741884,0.055439845,0.04901887,0.041034903,0.033612955,0.028659405,0.026244076,0.02619803,0.028065043,0.031044727,0.03455846,0.040788468,0.054213703,0.076506324,0.101729095,0.11825532,0.11933759,0.10854301,0.09761178,0.09436824,0.09788392,0.09932577,0.0916825,0.07592409,0.06231488,0.062323976,0.07941411,0.10538018,0.12854186,0.14346676,0.15339161,0.16157462,0.16497232,0.15794177,0.14091823,0.12174743,0.10864364,0.103888996,0.105887376,0.11269057,0.12437918,0.14081348,0.16111995,0.1819428,0.19838029,0.20513938,0.19948073,0.1826547,0.16020398,0.14174314,0.1342495,0.13822293,0.1439022,0.14229815,0.12929216,0.11002651,0.091101676,0.079129554,0.076552935,0.08173993,0.088800214,0.09201338,0.09002104,0.08527476,0.081364274,0.079126306,0.07915587,0.08199519,0.09012758,0.103446126,0.11935236,0.1310633,0.13437884,0.12898025,0.122080386,0.11905118,0.121952236,0.12572305,0.12790026,0.12706025,0.124648474,0.120073825,0.11563724,0.113527834,0.11450962,0.113966525,0.10838726,0.09877526,0.09058414,0.08729953,0.087611586,0.08782971,0.08489895,0.07850462,0.0695706,0.06013225,0.0527758,0.04948886,0.05005829,0.05134238,0.05059925,0.048220575,0.047754426,0.05127958,0.05683354,0.06033924,0.061214656,0.06296291,0.06900096,0.077058405,0.08113005,0.07702997,0.06673116,0.055803847,0.049317237,0.048825685,0.053213116,0.05941919,0.06435687,0.06550446,0.06240395,0.056461673,0.050529655,0.046861555,0.045889646,0.046385944,0.047367692,0.049171764,0.053120375,0.059996713,0.06909787,0.077624,0.08236239,0.08181872,0.079343,0.080772765,0.0912466,0.10924051,0.12831539,0.13952081,0.13900328,0.12816244,0.11396069,0.10212568,0.09631628,0.094917424,0.09524276,0.09344328,0.088984154,0.08178592,0.07392606,0.06592618,0.060683012,0.05863603,0.059320092,0.056906328,0.048947107,0.03816699,0.035370916,0.048808068,0.07697911,0.10656083,0.12237968,0.119332075,0.10529533,0.09252808,0.08653003,0.083163865,0.07574359,0.061844822,0.044715937,0.028967774,0.017126711,0.009411243,0.004888677,0.0047956672,0.0129717365,0.035854742,0.07228752,0.11095951,0.13081492,0.12117225,0.086941205,0.050041568,0.03139064,0.045913804,0.09358809,0.1594211,0.21536748,0.23716229,0.22065781,0.18256731,0.1463181,0.12631464,0.12447534,0.13419487,0.14579839,0.15315162,0.15479343,0.15484567,0.15692599,0.16301255,0.1704235,0.17423256,0.16975433,0.15728576,0.14065243,0.123613596,0.10556928,0.08633838,0.06856694,0.059928525,0.064205684,0.079771906,0.09688813,0.107144125,0.10490618,0.09464794,0.08740575,0.09999826,0.13848732,0.19225216,0.23416846,0.24623303,0.22864307,0.19833046,0.16584803,0.13437285,0.10422299,0.08246162,0.07481726,0.07915413,0.08755668,0.095763445,0.10897839,0.13292018,0.16469693,0.18902351,0.19170588,0.17177843,0.14369424,0.12447143,0.1208025,0.12784375,0.13758008,0.14549609,0.15078765,0.15184721,0.1477878,0.13937205,0.13065071,0.12518044,0.1234021,0.12353877,0.12274251,0.12224882,0.12347007,0.12856247,0.13399285,0.13618389,0.13059834,0.11713922,0.09848857,0.081548944,0.0739113,0.07896937,0.094661675,0.113874234,0.13026486,0.13813649,0.13532017,0.12139109,0.099098064,0.07572749,0.06589382,0.092040755,0.16724457,0.27930826,0.38149142,0.42319,0.38174203,0.283511,0.1802858,0.11683891,0.10479683,0.12537588,0.14673686,0.14596711,0.11938668,0.08140624,0.051867556,0.046448678,0.06611074,0.098540805,0.12137643,0.11990929,0.0936775,0.05888487,0.032859046,0.026759693,0.038764168,0.059446257,0.07515868,0.07800351,0.06788331,0.052184608,0.03728116,0.027622426,0.025463454,0.032834366,0.046905447,0.059682906,0.062924705,0.05647405,0.04916631,0.049245615,0.057752896,0.067679696,0.07511178,0.07935315,0.08278718,0.08349672,0.0802974,0.07403704,0.068213664,0.06494355,0.063599594,0.06332043,0.063369684,0.063171834,0.06123719,0.05695066,0.052168388,0.052250106,0.061983574,0.082883514,0.10724565,0.12398086,0.12190389,0.10186458,0.07436802,0.05651839,0.057611972,0.073790826,0.089823954,0.09202245,0.07972581,0.06526848,0.06305898,0.07613691,0.09548956,0.10961323,0.11590885,0.11821473,0.11939326,0.11543525,0.10380786,0.086557485,0.07066182,0.058377337,0.049094137,0.041650597,0.03921959,0.045259904,0.058778267,0.07300782,0.07837568,0.07139963,0.05754022,0.049829897,0.057086688,0.0764383,0.0947474,0.10021582,0.09316689,0.08300813,0.07842994,0.079124,0.079669505,0.07729112,0.07380056,0.07278872,0.073761344,0.0738602,0.07045164,0.06447794,0.059309576,0.05646925,0.05572779,0.054331172,0.051431943,0.04571961,0.039419305,0.03990035,0.063874476,0.12616883,0.22231834,0.31735086,0.36457154,0.3410232,0.26920858,0.19818115,0.16373949,0.16262446,0.16601744,0.14959328,0.1153014,0.082423724,0.06830271,0.07270068,0.08490133,0.097037934,0.11445942,0.1446733,0.18567634,0.21905631,0.22837995,0.21097243,0.18225913,0.15733719,0.14096181,0.12684698,0.10883924,0.08811942,0.07122507,0.064824276,0.06905641,0.07882303,0.085214265,0.083272964,0.07218489,0.057346627,0.043202177,0.033440124,0.027640497,0.025378963,0.025016109,0.02562253,0.026201138,0.027200572,0.0307149,0.03937468,0.055492133,0.07997385,0.11287167,0.15098406,0.18738137,0.21405107,0.22730963,0.23033714,0.22674827,0.21831739,0.20324312,0.18370157,0.16375025,0.14836103,0.13830331,0.13065416,0.12236083,0.11269895,0.1056121,0.103331335,0.10441712,0.102216005,0.09358903,0.08099872,0.07198563,0.07062745,0.07569838,0.08151745,0.08391169,0.08146363,0.076515816,0.07147532,0.06861705,0.067678474,0.06807511,0.06820687,0.066823706,0.06284858,0.056611255,0.050128955,0.046298016,0.04800738,0.057380576,0.07496843,0.09786404,0.1187689,0.12846112,0.12200245,0.10358211,0.085022934,0.07705902,0.08224136,0.09349493,0.101331174,0.09961969,0.09003639,0.07969152,0.07655623,0.082893394,0.09291426,0.09821192,0.095507644,0.090950616,0.093143694,0.10514975,0.1198737,0.12836538,0.12726517,0.123433836,0.124804296,0.13299866,0.1396637,0.13619314,0.121825226,0.1057012,0.09669886,0.09574487,0.094791986,0.087402046,0.07467256,0.06548559,0.06467757,0.06932125,0.07020472,0.06466533,0.05767532,0.05711023,0.063578315,0.071062915,0.07607425,0.082339205,0.100109585,0.13076644,0.16471027,0.18285204,0.17913407,0.16285467,0.15324157,0.15590803,0.16458322,0.17176235,0.1824797,0.20237792,0.22471094,0.23090874,0.21132332,0.17586751,0.1442755,0.12609853,0.11659274,0.1077285,0.09913961,0.094057076,0.091791786,0.08702936,0.07918715,0.07486376,0.07975298,0.090594046,0.09780409,0.099346794,0.10147652,0.11079816,0.12249992,0.12678389,0.12090281,0.11094301,0.1042419,0.09902357,0.09225071,0.08380877,0.07939091,0.0803685,0.082941,0.082593895,0.08124614,0.08551955,0.098272026,0.11372894,0.12107766,0.116886176,0.111372225,0.1252126,0.1682352,0.22668032,0.26560867,0.25988257,0.21441196,0.15872085,0.11833922,0.09596142,0.08162057,0.067352004,0.055544008,0.04960538,0.050495625,0.057461027,0.07030231,0.08844931,0.10623121,0.11674041,0.11456045,0.1023894,0.08645242,0.0741263,0.06746009,0.06528667,0.06441927,0.063900925,0.06419847,0.06657443,0.071236074,0.07872767,0.08838645,0.09771822,0.10187777,0.09944335,0.09644932,0.102528535,0.12160188,0.14405154,0.15518136,0.14605421,0.12380225,0.10425731,0.10064653,0.11378873,0.13235432,0.14437991,0.1441889,0.13761134,0.13087632,0.12786044,0.12610243,0.12567194,0.12586613,0.12552838,0.119116396,0.10486264,0.0859189,0.068750635,0.05694752,0.050295178,0.048714478,0.051264286,0.056766193,0.061198246,0.06394562,0.06605813,0.070743196,0.07700419,0.08439986,0.094106175,0.11217854,0.13935038,0.16778512,0.18099476,0.17056029,0.14078532,0.10756891,0.08178089,0.066538975,0.057747066,0.05293037,0.051419824,0.054819,0.06340051,0.07612253,0.08929027,0.099647366,0.10585464,0.11027884,0.11795974,0.13140096,0.1483537,0.16018455,0.16024204,0.14825507,0.13300683,0.12731308,0.13905145,0.16362612,0.1833809,0.18046327,0.15292792,0.1147736,0.08483524,0.068794966,0.06328713,0.06074353,0.060395572,0.06239001,0.06675947,0.069761336,0.069021575,0.06528206,0.063122265,0.06780561,0.08167967,0.10173911,0.12069407,0.13145961,0.13536192,0.14242099,0.16461934,0.20021398,0.23133616,0.23611277,0.20928846,0.1666288,0.1299602,0.10925975,0.09992791,0.09319659,0.08546028,0.07802599,0.07472216,0.07878032,0.092885874,0.11396786,0.13407461,0.14208919,0.13477026,0.11782053,0.10248486,0.09396914,0.088994674,0.081612684,0.07011457,0.059401482,0.054995444,0.061166227,0.0785678,0.10432187,0.12977536,0.14374702,0.1401577,0.12386655,0.10600283,0.09506092,0.09038848,0.08720804,0.0811494,0.07254765,0.06386011,0.05867594,0.05882604,0.063264616,0.06752544,0.06749756,0.06291442,0.058953762,0.060619503,0.06844122,0.07647666,0.07919075,0.076271236,0.073733725,0.077888966,0.08906999,0.10261718,0.11201611,0.116008975,0.11604377,0.11560804,0.11495921,0.112369634,0.104661256,0.09083352,0.07428867,0.060992923,0.05545884,0.05703934,0.062194508,0.06719609,0.06990457,0.06916096,0.06612296,0.064445585,0.06750965,0.07473419,0.08172748,0.08571202,0.08717235,0.088348515,0.089495085,0.091754854,0.09807374,0.111588515,0.12856191,0.14044037,0.13838714,0.12211007,0.09656894,0.07112177,0.054221824,0.05587708,0.08129185,0.1267422,0.1748478,0.2043249,0.202713,0.17552496,0.13987187,0.112293094,0.0991422,0.098280735,0.10343387,0.10984481,0.11462745,0.11835488,0.12328088,0.12997735,0.13502818,0.13221274,0.12011519,0.10356044,0.09078608,0.08600652,0.087604105,0.0914977,0.09414584,0.09468523,0.0930244,0.08978686,0.085865445,0.08235849,0.08073282,0.08177758,0.087543495,0.09980636,0.11889955,0.1393346,0.152692,0.15273179,0.1419106,0.12903707,0.12361759,0.13031118,0.14898655,0.17586206,0.20461941,0.22586237,0.23217662,0.22027744,0.19640522,0.16773777,0.14227335,0.12021324,0.102392256,0.08661633,0.07433385,0.06523712,0.060817894,0.061093908,0.0654298,0.07240237,0.08036247,0.09049598,0.10295086,0.11799561,0.1306417,0.1373003,0.13583188,0.1316586,0.13139732,0.13890734,0.15009327,0.15652283,0.15248084,0.13899903,0.12303158,0.11182761,0.10967427,0.11660098,0.1291778,0.14072396,0.14455129,0.13643242,0.120464645,0.104414664,0.096845485,0.097817026,0.10366378,0.10814155,0.1099667,0.10916668,0.11165675,0.124103166,0.15507339,0.20014876,0.24437928,0.2647361,0.25226662,0.21402514,0.16888209,0.13077378,0.10462799,0.088663876,0.07893113,0.07238168,0.06774768,0.066525966,0.07100106,0.08074384,0.09246427,0.10112665,0.10441702,0.10318705,0.10141057,0.10349991,0.11173145,0.1259255,0.14224438,0.15570007,0.15930206,0.14972712,0.12801062,0.102540426,0.08202401,0.072385766,0.07190865,0.07497922,0.075279154,0.07150447,0.06611901,0.06283484,0.061998267,0.063057005,0.065369375,0.07059743,0.07915766,0.09139346,0.1055275,0.12045453,0.13374728,0.14397055,0.14858519,0.14651854,0.13818495,0.12725763,0.117779255,0.11301261,0.11411398,0.12356889,0.14186506,0.1686436,0.1955945,0.21459849,0.21559213,0.1989988,0.16896196,0.13735247,0.11038803,0.09110386,0.07850745,0.08045042,0.114531934,0.19510625,0.31014583,0.41422942,0.45642078,0.41891444,0.32980976,0.23625775,0.16838026,0.13013671,0.11079338,0.100793034,0.092977285,0.08394337,0.0735679,0.06607076,0.06563756,0.07244686,0.08233947,0.08966205,0.09207633,0.09192837,0.09436623,0.102372535,0.11334652,0.12091145,0.11977474,0.110110424,0.09655878,0.084039085,0.074600525,0.066988885,0.05944713,0.05104262,0.04300225,0.036856532,0.03361579,0.033473436,0.03834306,0.055118978,0.09169072,0.15134697,0.22106318,0.27927017,0.3034571,0.29073536,0.25228336,0.20896144,0.1738165,0.15436907,0.1522265,0.16876791,0.19797432,0.22892547,0.24586503,0.24331272,0.22249584,0.19408649,0.16393389,0.1383895,0.1205234,0.11728779,0.13066448,0.1544016,0.17119883,0.16586082,0.13813181,0.10559534,0.090639256,0.10379422,0.13578205,0.1649083,0.17163251,0.15359816,0.12389173,0.10037104,0.089618504,0.086318575,0.08099941,0.071433075,0.06361007,0.06399492,0.072846405,0.08325058,0.090693824,0.09415179,0.09732839,0.09907035,0.098775394,0.094139546,0.08876362,0.084413804,0.08448449,0.087394804,0.091236494,0.090356044,0.08386003,0.07740938,0.086560346,0.123840965,0.186566,0.2512708,0.28765061,0.27965215,0.23400871,0.17435698,0.12459999,0.09919954,0.09901587,0.1119141,0.121814854,0.11530015,0.09326849,0.064491175,0.042325396,0.032543797,0.03603949,0.04782802,0.062547475,0.07382136,0.07879568,0.07857482,0.077780046,0.07872043,0.080030076,0.07954954,0.078194775,0.077943236,0.07783557,0.07483676,0.069613904,0.067939885,0.074546635,0.0870356,0.096701026,0.09744701,0.08831513,0.07426514,0.05864958,0.04512458,0.03446215,0.028620822,0.026890306,0.028886685,0.033518385,0.041891187,0.055972535,0.07462261,0.09231471,0.0993813,0.09232631,0.074118726,0.054557886,0.03986978,0.032941975,0.03186807,0.03391893,0.03502594,0.03256464,0.026299698,0.01910572,0.014067747,0.0127218375,0.014067076,0.016246067,0.018379362,0.022219287,0.031797945,0.04956184,0.072981454,0.09362253,0.1035857,0.100786306,0.09077346,0.08086523,0.074748695,0.071562015,0.068431325,0.06477005,0.060848426,0.05783278,0.05473176,0.05121248,0.047189746,0.043705,0.041182492,0.039152324,0.038102895,0.039254617,0.044817287,0.055131923,0.06954232,0.08670356,0.105289854,0.12273586,0.13439652,0.13620707,0.12706321,0.110280804,0.090748064,0.07327721,0.06191646,0.058837038,0.062626325,0.06684943,0.0648628,0.054149363,0.038671274,0.024297051,0.014876899,0.01044055,0.009046725,0.0088261375,0.0095392205,0.012622814,0.01966767,0.029954007,0.040046345,0.045997262,0.046505485,0.042875443,0.03702077,0.029682888,0.021341287,0.013271582,0.0073087052,0.0045047426,0.004416223,0.005787457,0.007766571,0.010812108,0.01623744,0.024271443,0.032906767,0.038409907,0.038516723,0.033547834,0.026199544,0.018729528,0.012477245,0.0076859538,0.004589115,0.0031536028,0.003081818,0.0038458884,0.0051313727,0.0072289533,0.010390091,0.014526908,0.018404404,0.020930862,0.021158159,0.019462982,0.016278649,0.012570062,0.008848945,0.0057756454,0.003517611,0.0021083632,0.0013059907,0.00092074,0.0007867173,0.00078366284,0.00080424664]