[0.0012218703,0.0016194578,0.0026164495,0.004192136,0.006307828,0.008750734,0.011225699,0.013377334,0.015107798,0.016276563,0.016737299,0.01636146,0.015853347,0.01658419,0.019569783,0.02404472,0.030083993,0.04253838,0.07277771,0.12793727,0.19974749,0.2638829,0.2982074,0.29983214,0.28126884,0.25515124,0.22164892,0.178183,0.12707908,0.07946178,0.044615556,0.026000366,0.020912359,0.026634818,0.040854815,0.06046291,0.0804598,0.0989195,0.1191295,0.14602046,0.17887025,0.21132766,0.23872025,0.26216528,0.28577197,0.30822584,0.32299054,0.3203589,0.29702795,0.2591866,0.22768027,0.22519879,0.2629996,0.32556474,0.3842542,0.41465184,0.41510943,0.39747575,0.376376,0.355003,0.32917714,0.29192317,0.24525721,0.19911282,0.16570385,0.1474206,0.13682519,0.1255605,0.11426621,0.112000436,0.12649618,0.15625395,0.19151068,0.22054583,0.23766106,0.2419771,0.23730741,0.22701901,0.21764694,0.21591382,0.22660153,0.24386615,0.2542884,0.24668752,0.22627515,0.20871244,0.20774154,0.22047575,0.2378941,0.25167572,0.26257813,0.2703524,0.2755846,0.2773223,0.27713034,0.2732838,0.2636788,0.24755175,0.22898085,0.21101971,0.19194895,0.16624631,0.13103895,0.091220774,0.056514766,0.036734864,0.034847807,0.04944993,0.07782816,0.12224775,0.18721958,0.27263293,0.36678112,0.4471463,0.49307117,0.4972355,0.4703468,0.43180212,0.3976994,0.37522975,0.36214283,0.3543321,0.3465173,0.33953735,0.3342277,0.33285174,0.32987502,0.3203143,0.301743,0.2825067,0.27136597,0.27265394,0.28009984,0.28645667,0.28559306,0.27670208,0.2603945,0.24199326,0.2306187,0.23498106,0.25588983,0.28132954,0.2940192,0.28048787,0.24128352,0.18766075,0.13680056,0.100904845,0.08336081,0.07764224,0.076902814,0.081831925,0.10010451,0.1342632,0.17242862,0.19320762,0.18211424,0.142324,0.091874324,0.04904433,0.02315852,0.014637987,0.023464382,0.053562712,0.10734367,0.17846352,0.2475095,0.29316583,0.30162135,0.27764064,0.23937206,0.21062337,0.20560314,0.22251403,0.24718654,0.2632711,0.26408204,0.25351942,0.24741639,0.26071885,0.30069378,0.35523844,0.40539446,0.43378922,0.43681076,0.41708055,0.3813779,0.3380923,0.29780763,0.26816222,0.24844156,0.23241578,0.21739323,0.2086205,0.21357624,0.22866197,0.23991513,0.2344919,0.21578406,0.19759186,0.18965231,0.18950616,0.1928404,0.2007528,0.21651618,0.23549438,0.24941361,0.25363973,0.25028822,0.24091388,0.22407271,0.19815178,0.16433637,0.12621553,0.088802904,0.058476876,0.04001491,0.034848507,0.04029605,0.0563369,0.08243894,0.11919569,0.16033067,0.20171069,0.23948316,0.27438152,0.30275297,0.31661347,0.30799535,0.27953866,0.24825883,0.2355157,0.25126526,0.28560233,0.3161844,0.3223249,0.297855,0.2510421,0.19914003,0.15623905,0.1303328,0.12514247,0.14317648,0.18136257,0.22515957,0.25518867,0.2617019,0.25303832,0.24741809,0.25593615,0.2756072,0.29235366,0.29332575,0.2747659,0.24723573,0.23058373,0.24005516,0.27375674,0.31163457,0.33582744,0.34102473,0.3361838,0.324941,0.30682096,0.28077903,0.25347236,0.230794,0.21065374,0.19040905,0.17461644,0.17635334,0.20066519,0.23756222,0.27074447,0.29201534,0.30467394,0.31070068,0.3042028,0.27983248,0.24498147,0.21956454,0.21704483,0.23336864,0.250154,0.25254384,0.2374991,0.21213616,0.184551,0.15891267,0.13412093,0.107070856,0.07761096,0.05057347,0.03344138,0.028552854,0.031896476,0.036932275,0.04489747,0.0660016,0.109861605,0.1713407,0.22738028,0.2522519,0.23585553,0.18901323,0.13286938,0.08411357,0.051289383,0.036114126,0.036934596,0.048629593,0.062006116,0.07136866,0.076861195,0.09093108,0.122601025,0.17235713,0.22177322,0.25272122,0.25839958,0.25214174,0.25283542,0.26750937,0.28888834,0.30276978,0.30494925,0.29684302,0.28026244,0.2503573,0.20394312,0.14647679,0.090783186,0.04876073,0.024157956,0.0140949255,0.013783972,0.021453107,0.037288006,0.06189634,0.091840684,0.12177376,0.14644451,0.16709395,0.19069164,0.22571313,0.27553305,0.3335253,0.38463196,0.40812245,0.3912789,0.33526325,0.26063493,0.19169223,0.14961964,0.13865803,0.15167268,0.17162728,0.1868522,0.1950195,0.20066148,0.20583399,0.20644207,0.20181338,0.19554073,0.19512932,0.19939597,0.20494543,0.20631075,0.20439772,0.19612788,0.17885058,0.14920957,0.11257297,0.07660385,0.04836313,0.029557774,0.019704679,0.018081866,0.022918781,0.03127189,0.038834702,0.043715995,0.046401933,0.05099431,0.063366055,0.090889536,0.13344306,0.18087506,0.21349531,0.22366334,0.21937181,0.22182447,0.23778208,0.25757948,0.26212317,0.24788934,0.2320493,0.23833103,0.27429867,0.31828317,0.33996522,0.32257733,0.2806323,0.2389449,0.21411343,0.20128457,0.1934913,0.19416027,0.2167923,0.26270026,0.3130798,0.34350917,0.3472437,0.33819985,0.33135512,0.3267464,0.31511334,0.29608586,0.2830266,0.28875053,0.30774757,0.31984866,0.30721053,0.27174592,0.23194154,0.21086311,0.22046237,0.25626406,0.30026594,0.33555433,0.35502017,0.36318007,0.36316654,0.35355166,0.3280429,0.28692457,0.23744655,0.19555755,0.17647527,0.18962824,0.23094256,0.28528664,0.33643243,0.3732163,0.39345357,0.39438215,0.37833634,0.35002384,0.3219135,0.30065718,0.28606126,0.26784468,0.23767994,0.19668186,0.1633258,0.16393545,0.21158253,0.28908882,0.35504425,0.37536755,0.3454244,0.29194787,0.24548537,0.22099538,0.21001685,0.19687201,0.17079122,0.13408901,0.09424761,0.05996357,0.035198595,0.022183403,0.01948185,0.024865024,0.03572846,0.05232826,0.07522038,0.1020816,0.12645735,0.14445621,0.15871294,0.17723465,0.20324056,0.23338026,0.2572992,0.2674584,0.25903246,0.23563279,0.20129472,0.1630196,0.12585403,0.10039129,0.09485913,0.11244428,0.14231694,0.17099977,0.18813133,0.195768,0.19762962,0.19708078,0.19252811,0.18870115,0.1916111,0.207201,0.227422,0.24500978,0.25519034,0.26906136,0.2931702,0.3305613,0.37176028,0.41059625,0.44265652,0.46954167,0.4881083,0.48964575,0.459069,0.38969877,0.29062942,0.18848932,0.11026329,0.06923576,0.060073238,0.06713143,0.077100724,0.08168313,0.08004203,0.07379883,0.0704153,0.076490134,0.09534541,0.119775176,0.1391492,0.14633669,0.14480658,0.14254895,0.14709865,0.16519529,0.20506589,0.2708613,0.34942317,0.41162762,0.4284787,0.3948181,0.33070502,0.26517782,0.21457398,0.17647731,0.14032258,0.10051548,0.06227149,0.03478795,0.024782136,0.032116458,0.053191524,0.0805139,0.106458984,0.12318274,0.12987809,0.13196887,0.1416064,0.17115097,0.22690468,0.3031387,0.3791386,0.43291292,0.4510504,0.43932238,0.41116777,0.38526022,0.3761517,0.39274156,0.42689624,0.4599664,0.4732823,0.46364352,0.43396094,0.38878927,0.32923698,0.26662016,0.21549988,0.18584625,0.1707353,0.15651824,0.13489594,0.109218456,0.0882957,0.078666665,0.083357476,0.10148698,0.12748325,0.14965893,0.16018237,0.16301179,0.17712496,0.2163378,0.2791001,0.3417741,0.38191068,0.38568053,0.3597455,0.31564316,0.26998994,0.23359056,0.21812598,0.22841246,0.26050726,0.29572332,0.31111744,0.29714695,0.2685127,0.25218534,0.26234192,0.2839643,0.28766033,0.25573686,0.2020603,0.15720761,0.14306735,0.15439136,0.16928335,0.171488,0.16539133,0.16937101,0.19747047,0.24351251,0.28417733,0.29310477,0.26014274,0.19556588,0.123326026,0.06565707,0.033851247,0.027714498,0.038592476,0.05688886,0.07502815,0.093725674,0.11521082,0.14032722,0.16399741,0.18300474,0.19830547,0.21225078,0.22519583,0.23323292,0.23299621,0.21883024,0.19030754,0.15513003,0.13332291,0.14012574,0.17165893,0.20117958,0.20152088,0.16665636,0.11760547,0.08669138,0.094277024,0.14090122,0.20508702,0.26504788,0.30402365,0.32695517,0.34381905,0.3660809,0.39281783,0.41663456,0.43196204,0.4354886,0.43393242,0.43253544,0.44137636,0.45825115,0.4742663,0.47168234,0.4430577,0.3940864,0.34076405,0.29321265,0.25146514,0.21090229,0.17601763,0.15968879,0.17370512,0.21332015,0.26035267,0.29245493,0.29728508,0.2720289,0.22260642,0.15971981,0.098910205,0.05461568,0.03579621,0.042992275,0.07379045,0.12503727,0.19355953,0.2699118,0.33823535,0.38194406,0.39470538,0.38114536,0.35137329,0.31162393,0.27282757,0.24873693,0.2527765,0.27703068,0.30034867,0.30555245,0.29760695,0.29315856,0.29833433,0.30549872,0.30617657,0.30763888,0.3252199,0.36461914,0.41210267,0.44028997,0.42745575,0.37025344,0.29049298,0.22080325,0.18420209,0.17767698,0.18257694,0.1846807,0.18720914,0.19840872,0.21970707,0.24075584,0.25276574,0.25220352,0.244196,0.234015,0.22795899,0.22671747,0.22716083,0.21976824,0.1984035,0.16495775,0.1334673,0.119169235,0.13076966,0.1650453,0.21418083,0.26847914,0.31919727,0.3584465,0.38314006,0.39475402,0.3935605,0.3776746,0.34861556,0.3211124,0.31181934,0.32528588,0.34146726,0.33758995,0.30198926,0.24648868,0.18703823,0.13895762,0.107956894,0.097765885,0.108495474,0.13732992,0.1753598,0.20649774,0.21807979,0.20948976,0.19731121,0.19984488,0.22427876,0.2627903,0.3003069,0.32421997,0.32516858,0.30386806,0.27079594,0.24752252,0.24893685,0.27308393,0.29815483,0.30101207,0.27112758,0.21609442,0.15248854,0.09754387,0.06091244,0.043727618,0.039190274,0.04061118,0.045671973,0.05942254,0.0904583,0.14292754,0.20970683,0.27029553,0.30553442,0.31113875,0.30085215,0.29346415,0.2968612,0.30964866,0.32442716,0.3393755,0.35712066,0.38273588,0.413205,0.42926994,0.40786386,0.3404821,0.24973917,0.17016613,0.12428114,0.10591116,0.09517592,0.077293254,0.05334179,0.033964027,0.030388797,0.047730345,0.08271458,0.124771334,0.16448998,0.20041285,0.23943089,0.2813203,0.3124791,0.31064057,0.26775244,0.19760813,0.12794505,0.08005324,0.059116464,0.060241163,0.07703655,0.10762624,0.15112717,0.20460814,0.2606142,0.30578566,0.32775322,0.31841043,0.28382328,0.23755057,0.19921969,0.18023644,0.18307358,0.19571292,0.20233935,0.19143675,0.16882002,0.15295887,0.16210271,0.19501771,0.23052137,0.24139594,0.21790214,0.17289416,0.1316763,0.10927093,0.10358942,0.10008057,0.088998616,0.07020768,0.05222629,0.0431596,0.04997416,0.07816856,0.13036901,0.2009433,0.27230045,0.32251808,0.3359109,0.31815732,0.2928085,0.29070613,0.32531536,0.38886774,0.4560074,0.5029147,0.5121952,0.48224747,0.42823228,0.37954858,0.35877225,0.36204246,0.3636439,0.34144697,0.30047035,0.26424935,0.25175962,0.26182786,0.28051844,0.2958958,0.30249608,0.29731432,0.27444443,0.2303885,0.16959845,0.10695038,0.058484424,0.033790175,0.032204688,0.048685357,0.07765612,0.11433352,0.15392584,0.19244812,0.22935933,0.26361552,0.29223838,0.3084133,0.31143448,0.3057332,0.29984638,0.29194382,0.2767235,0.24947645,0.21958834,0.19595028,0.17961848,0.15816583,0.12410196,0.08279387,0.049762663,0.034603607,0.036046837,0.047559142,0.06960081,0.109309666,0.17147656,0.24538803,0.30921113,0.3443452,0.3506008,0.342234,0.33330035,0.32572675,0.31335142,0.29489675,0.2812239,0.2868493,0.3145044,0.3486097,0.363446,0.34087226,0.2792783,0.19625016,0.11600837,0.059782,0.034454722,0.033969805,0.04451563,0.052644927,0.053774167,0.05280913,0.06315366,0.090695165,0.1289575,0.15627323,0.15769906,0.13306464,0.10052767,0.07527248,0.061890896,0.053375676,0.04514521,0.03786743,0.035419647,0.038648475,0.048030246,0.064824365,0.09119437,0.12290389,0.15089911,0.16600622,0.16789103,0.16277613,0.1553319,0.14418377,0.12396991,0.095378585,0.063754596,0.037983153,0.022435354,0.01956523,0.027934967,0.043869603,0.05973683,0.07114092,0.08020135,0.09807811,0.12797494,0.16233289,0.17940462,0.17151941,0.14556772,0.123470075,0.115265846,0.120739065,0.13617486,0.1631211,0.20277429,0.24395715,0.27242038,0.27785155,0.26353315,0.2339205,0.19398957,0.14675114,0.09998894,0.060916062,0.034346234,0.019358076,0.014958114,0.02141185,0.04351976,0.0811486,0.1298514,0.17531902,0.21105452,0.23447256,0.2539697,0.26861036,0.2738723,0.25898296,0.22449107,0.18177259,0.14895405,0.13823421,0.15082055,0.18149315,0.22174115,0.26167598,0.29088017,0.30274037,0.29614738,0.27211076,0.23282982,0.1846032,0.13872887,0.105907656,0.08809052,0.07908175,0.07069329,0.05967322,0.048196036,0.040557966,0.040267527,0.04721353,0.05738369,0.06314767,0.05897868,0.045080453,0.027858632,0.013899543,0.0059722853,0.0029305231,0.0029708638,0.006696861,0.0167886,0.03677821,0.064705715,0.09291115,0.1087811,0.10674181,0.09082338,0.07618631,0.07737131,0.10128984,0.1402132,0.17869253,0.2058246,0.2241068,0.24239099,0.26115602,0.272234,0.27074444,0.26518175,0.26667354,0.27696744,0.287868,0.2945329,0.29817525,0.3011982,0.2955879,0.27255443,0.22678702,0.16988416,0.11684454,0.08331164,0.07114401,0.076444626,0.09195137,0.11553695,0.14671797,0.18258797,0.21588679,0.23652719,0.2373224,0.21663122,0.18272613,0.15281159,0.14701231,0.17463697,0.22327049,0.26290688,0.2655103,0.22588784,0.1647106,0.11424292,0.10033968,0.13093437,0.19278347,0.25433207,0.28270766,0.2641709,0.21491738,0.16440709,0.1326656,0.11759284,0.10810574,0.0970935,0.08815152,0.086197555,0.09529682,0.11843809,0.16237509,0.23029542,0.31671062,0.4054,0.4798403,0.5289938,0.5511978,0.55403954,0.5529122,0.56275517,0.5820947,0.5937462,0.5771855,0.53316766,0.4777658,0.42922333,0.3863056,0.33850434,0.27662423,0.20641948,0.1405759,0.091136426,0.06146426,0.04809953,0.044554606,0.045404363,0.047680322,0.05161881,0.06065685,0.08067932,0.115758,0.16404001,0.21526681,0.254151,0.26945898,0.26338145,0.25486335,0.2652719,0.3006675,0.3432729,0.3683394,0.36700186,0.35250106,0.3458068,0.35556427,0.37625253,0.3955475,0.4014646,0.38609517,0.3496499,0.3105173,0.29457948,0.31912288,0.3722125,0.4228122,0.4391569,0.40770137,0.33648953,0.24681139,0.164176,0.10467947,0.07510943,0.07449972,0.10224704,0.1532057,0.21385889,0.26560864,0.29719374,0.31561112,0.33615565,0.37175202,0.41817448,0.46437702,0.49724832,0.51524204,0.52241355,0.5269274,0.53217,0.5383598,0.54359126,0.5471029,0.5490714,0.5469455,0.53482485,0.50673634,0.46686125,0.43012032,0.40970716,0.39905402,0.3745995,0.3174521,0.23554945,0.15689139,0.109264635,0.09847201,0.11087533,0.12399852,0.12624724,0.12259835,0.12846784,0.15120666,0.18015309,0.19681965,0.19466417,0.19178313,0.2156912,0.28012243,0.36788008,0.44414535,0.47836742,0.4606203,0.39936313,0.31309667,0.22654414,0.1650037,0.14433004,0.16122703,0.19322556,0.21745352,0.22319001,0.22021265,0.22201304,0.2357469,0.25314537,0.26149952,0.25080028,0.22117579,0.17909928,0.13583703,0.10096536,0.079806685,0.070183486,0.06679165,0.06825682,0.08083706,0.11451898,0.16723807,0.22035886,0.24431582,0.2255867,0.1741835,0.119003095,0.08084432,0.06499631,0.06201447,0.06311202,0.06383573,0.06637152,0.07524398,0.09666929,0.13342057,0.18141131,0.22817056,0.25929254,0.2655786,0.24647711,0.2080711,0.1600609,0.11356563,0.07775765,0.05732669,0.051284764,0.05583417,0.06574265,0.07687361,0.08571777,0.09250701,0.10146115,0.123265125,0.16805805,0.23581295,0.3073324,0.3545644,0.36356184,0.34864354,0.34100345,0.35941163,0.39790222,0.43590495,0.46220016,0.48049328,0.49870673,0.51234233,0.50302374,0.45357898,0.36446238,0.25844082,0.16482355,0.10421989,0.07950503,0.084641255,0.109151065,0.14539014,0.1838559,0.21698482,0.23343961,0.22598507,0.19240487,0.14429879,0.09861162,0.07014481,0.06288115,0.0734457,0.098856986,0.14052379,0.20174396,0.27800885,0.35264304,0.40641132,0.43033597,0.43279967,0.4212606,0.39583418,0.3500228,0.29526746,0.25549823,0.25402382,0.28391203,0.31759155,0.32125655,0.2862529,0.22461145,0.16253069,0.116404794,0.09119123,0.08107773,0.08018318,0.085692786,0.09677739,0.11108774,0.12286842,0.12709805,0.12349185,0.11700952,0.11257318,0.11012754,0.10571956,0.096151195,0.0831944,0.071810015,0.06628495,0.067573786,0.074678905,0.08686466,0.10371145,0.122769035,0.1393955,0.14819561,0.14670092,0.13519527,0.1174233,0.09879903,0.086335026,0.08448786,0.09363408,0.108659945,0.12335446,0.13179155,0.13127391,0.12174616,0.10776534,0.09600795,0.090986855,0.091626585,0.09278982,0.09226179,0.0915469,0.09630979,0.11126262,0.14304657,0.19303489,0.2550847,0.30874315,0.3328289,0.31507573,0.26355562,0.19744365,0.13790749,0.09661464,0.07551242,0.06977417,0.07246394,0.07717517,0.078849085,0.07625521,0.072473414,0.073482364,0.082614824,0.0974632,0.112509064,0.12553187,0.14127111,0.16547167,0.19814931,0.2303114,0.25210613,0.25754985,0.24818015,0.22946262,0.21339922,0.21410324,0.24048412,0.28129908,0.30990896,0.3001847,0.25120905,0.18481477,0.1325038,0.11445486,0.13551597,0.18430525,0.23759544,0.2695595,0.26599225,0.23462357,0.19688797,0.17320073,0.17138098,0.18954183,0.21823859,0.24340014,0.24992472,0.23422997,0.207723,0.18773818,0.17910837,0.17367506,0.16266735,0.15253185,0.1577043,0.18792254,0.23553027,0.28585184,0.3252232,0.35113633,0.3628769,0.3597494,0.33560875,0.2900757,0.22893369,0.16686629,0.11506017,0.07980018,0.05938526,0.05136328,0.05440453,0.07002788,0.101440966,0.14670289,0.19717552,0.23576598,0.25164568,0.24686848,0.23885266,0.2403829,0.2484922,0.24358213,0.2132705,0.16269471,0.11374513,0.08194474,0.070359856,0.06995465,0.074270345,0.07951849,0.08528773,0.088760324,0.09054762,0.092193164,0.09776353,0.1054809,0.11240103,0.11400837,0.1130254,0.11563548,0.13073945,0.15698253,0.18249042,0.18826564,0.16740118,0.12892656,0.093135245,0.07381395,0.07216785,0.079656966,0.08640701,0.0882901,0.08523103,0.08066294,0.07628548,0.07506667,0.077761136,0.08577936,0.099073924,0.122990906,0.16328748,0.22196455,0.2892772,0.351302,0.3981775,0.42599812,0.4320713,0.41244748,0.37110615,0.32065025,0.2758222,0.2393161,0.20378353,0.1625018,0.12031982,0.08957577,0.080154896,0.09289822,0.12493459,0.17541952,0.2461639,0.33042106,0.41119504,0.4671122,0.49105763,0.48716545,0.463356,0.41661033,0.34482267,0.25574666,0.17155582,0.11251805,0.085433416,0.08138436,0.0877044,0.09713564,0.1145919,0.14635573,0.19371803,0.2402301,0.26728594,0.26389265,0.24512853,0.23782994,0.26451978,0.3230301,0.38887957,0.43034482,0.42499432,0.37085918,0.2845687,0.19303925,0.11973524,0.07509296,0.058838908,0.06708946,0.10215161,0.16952564,0.27113673,0.39359203,0.5082144,0.58530265,0.61138815,0.5963252,0.5543686,0.49149314,0.40546063,0.30645648,0.22143775,0.17859821,0.18823628,0.2353117,0.29428235,0.33914164,0.3585836,0.35581994,0.3472803,0.3478329,0.36136594,0.38222465,0.40345898,0.42366102,0.43982336,0.44544473,0.43033755,0.3954343,0.35358384,0.32826242,0.331125,0.35309306,0.36689058,0.35176444,0.3127129,0.27121767,0.24808985,0.24208546,0.24372669,0.23929133,0.2296232,0.22266708,0.23726523,0.2853695,0.3633394,0.44664153,0.5036694,0.51730204,0.49333498,0.45364854,0.41429266,0.37470284,0.32362548,0.2575633,0.18812905,0.1344869,0.10839742,0.11220669,0.13993578,0.18334024,0.22997987,0.27268088,0.311213,0.35218203,0.39204654,0.41563597,0.40607798,0.367347,0.32324028,0.30467042,0.3225381,0.36668515,0.4046758,0.40991148,0.3693718,0.29981816,0.22751437,0.17738514,0.15687393,0.16036595,0.1752851,0.18805867,0.19060384,0.18054813,0.16308294,0.14691752,0.14035468,0.14785342,0.16730255,0.19243425,0.21467261,0.22676007,0.22777902,0.22155903,0.21591316,0.21455894,0.21922308,0.22934377,0.24163754,0.25163332,0.25267735,0.24810393,0.24497914,0.25318316,0.27029404,0.28958094,0.30874744,0.3359548,0.37751162,0.42257407,0.44702336,0.43030968,0.37197337,0.29008886,0.2116044,0.15884297,0.14533724,0.17041971,0.22350998,0.282406,0.32708263,0.3484517,0.358018,0.3714373,0.3899624,0.39678392,0.3803545,0.35588372,0.35490242,0.39366695,0.4538969,0.5008115,0.51414317,0.50474113,0.49459085,0.4934616,0.48302436,0.44066274,0.3581529,0.2573025,0.16710477,0.10807324,0.07989076,0.0758449,0.091661386,0.13148975,0.1946026,0.27163696,0.34030545,0.3829343,0.38911805,0.3645922,0.32176796,0.28137228,0.2639874,0.284241,0.34148613,0.41682732,0.48197722,0.5085438,0.48331317,0.41079375,0.3164688,0.23124419,0.17765258,0.15554905,0.14848645,0.13970232,0.124937005,0.11305492,0.11152419,0.12255689,0.14041843,0.16521668,0.19311081,0.21850197,0.22480915,0.20826666,0.17863351,0.15886988,0.16071177,0.1811136,0.20614435,0.22332837,0.22667617,0.22176826,0.22309369,0.24410665,0.2829983,0.3189497,0.32955658,0.30469963,0.25919893,0.21604492,0.19601236,0.20155509,0.22313185,0.24482088,0.25366688,0.2434563,0.21910459,0.19609576,0.1910286,0.20981066,0.24256842,0.27597198,0.2992309,0.30947992,0.30225372,0.2787581,0.24736273,0.223387,0.21649297,0.22118895,0.22517578,0.21776098,0.2021007,0.1885251,0.18666242,0.19525425,0.20396174,0.20891644,0.21793778,0.24668257,0.29523686,0.34841597,0.38138643,0.3858509,0.36725438,0.34785247,0.34211418,0.35682318,0.37663743,0.38427782,0.36427128,0.3228015,0.2751552,0.24574752,0.24465494,0.27122298,0.30249503,0.31961712,0.30925384,0.28497872,0.26653233,0.276857,0.31901756,0.381178,0.44011036,0.47653678,0.48296762,0.4607878,0.41760877,0.36039624,0.2997932,0.24665278,0.21375461,0.20866267,0.2326556,0.27494547,0.3175613,0.3419635,0.33971664,0.31582832,0.28280985,0.2565474,0.24501824,0.25278708,0.2783982,0.32572427,0.3929287,0.4674529,0.520827,0.52853703,0.4866813,0.41523275,0.34065,0.28219062,0.24766679,0.24232869,0.26793742,0.3212118,0.3828847,0.42717826,0.43464527,0.41641864,0.4053032,0.43349126,0.49568996,0.5583783,0.58002406,0.5512237,0.48567235,0.41661087,0.36371306,0.33611104,0.32311347,0.31582376,0.3098688,0.3130401,0.3328897,0.37023476,0.41315427,0.44405785,0.44942918,0.4275266,0.38497236,0.3335698,0.28676188,0.26057044,0.2581374,0.26919016,0.26957706,0.2511371,0.21923225,0.19279777,0.1784219,0.1772986,0.18680285,0.20956482,0.24448001,0.283582,0.3162986,0.3380585,0.35348177,0.36787346,0.38008058,0.380439,0.36127818,0.32439283,0.28514114,0.26014268,0.2615539,0.28566405,0.32037392,0.34333205,0.3393904,0.3054577,0.25636858,0.21168204,0.18463899,0.18379177,0.20977552,0.25678754,0.30106154,0.32099402,0.30748132,0.27472755,0.23773424,0.20316398,0.16921662,0.13747577,0.11479182,0.1060146,0.11306805,0.13395911,0.16430967,0.19270974,0.20471479,0.1932072,0.16422503,0.1339821,0.11568586,0.11607187,0.13253723,0.15704559,0.17548905,0.176181,0.15742189,0.13230292,0.1216199,0.13992716,0.1864083,0.24123149,0.28022683,0.28762427,0.27090883,0.24777038,0.23291127,0.22287868,0.20877637,0.18537109,0.15822004,0.13261634,0.11190608,0.09643506,0.08923358,0.09116306,0.10024143,0.11102661,0.121768475,0.1336313,0.14779405,0.15860502,0.1582799,0.14264333,0.11741567,0.09219545,0.07520229,0.06846606,0.070146,0.07617707,0.082604416,0.08698068,0.08904543,0.090090446,0.09110007,0.09239981,0.09379659,0.09519347,0.096414946,0.09701824,0.09695158,0.09548858,0.09184868,0.08416691,0.07303441,0.06074566,0.051476896,0.047658194,0.050411846,0.060339347,0.07587022,0.09227573,0.10100571,0.098078705,0.0872863,0.08055371,0.08722445,0.106470086,0.12658165,0.1345521,0.1285281,0.11733224,0.11232533,0.115030415,0.119175695,0.11675624,0.10504999,0.087456204,0.070284374,0.05920714,0.054213345,0.050719395,0.045149345,0.040934484,0.048187762,0.07409651,0.11399177,0.15130568,0.16700281,0.15441038,0.11975991,0.07942765,0.046992194,0.032720093,0.04103437,0.06955435,0.1084748,0.14005773,0.15484744,0.15462069,0.15730983,0.17339224,0.2002059,0.2188183,0.21832494,0.20142812,0.18384206,0.17428838,0.17185037,0.16627564,0.14997083,0.120597035,0.08414426,0.04987459,0.027072804,0.022207193,0.041240264,0.086425014,0.1502773,0.21244656,0.25210503,0.26302725,0.25720748,0.24806394,0.23784302,0.21752684,0.1854129,0.15152885,0.13269484,0.13446814,0.15069653,0.17146005,0.19553627,0.22696292,0.26362345,0.29031813,0.28781727,0.24903584,0.18599498,0.12330855,0.08364817,0.08011902,0.1088951,0.15478195,0.19539392,0.221857,0.23643579,0.2513094,0.26631513,0.2786236,0.28433275,0.29327857,0.311397,0.3366934,0.35163036,0.34332725,0.31344393,0.28171977,0.26804844,0.27804306,0.3024053,0.3290951,0.35239384,0.37319317,0.39409235,0.41948786,0.4504527,0.48096633,0.49501872,0.47669056,0.42384085,0.35378566,0.2942662,0.2626531,0.25202933,0.23793633,0.20026334,0.14212398,0.08297008,0.043762814,0.03403381,0.058234304,0.115318276,0.19854994,0.28919074,0.37005118,0.4318057,0.47538447,0.49553064,0.48151192,0.42824456,0.3501613,0.27347365,0.21458215,0.17168812,0.13222364,0.09152009,0.054155827,0.028704217,0.017466245,0.017554548,0.023537869,0.031494647,0.040330928,0.052061755,0.07095471,0.096701,0.12243369,0.13503565,0.13058802,0.118933044,0.122246176,0.15462722,0.21169631,0.27094552,0.30686066,0.30711007,0.27853516,0.24288237,0.22061825,0.21874869,0.22962676,0.24211703,0.252064,0.2589799,0.25878116,0.24122618,0.20098187,0.14497556,0.089969315,0.049983278,0.02893124,0.0219243,0.022614272,0.026546925,0.032244246,0.039417163,0.050295472,0.066021495,0.08492922,0.10026735,0.107145585,0.10588989,0.10129842,0.09590719,0.089500315,0.08428412,0.08816716,0.1089556,0.14888106,0.19903772,0.24582821,0.2718673,0.27256063,0.25884244,0.2556754,0.2745266,0.3027428,0.3144133,0.29853424,0.26571438,0.23099363,0.19740343,0.1591952,0.11642691,0.079488955,0.06375643,0.08167408,0.13932623,0.23243737,0.34587777,0.45436433,0.53231865,0.5585874,0.5293516,0.45785213,0.37596,0.31503424,0.29170284,0.29508492,0.29667076,0.270571,0.21417077,0.14693034,0.09417347,0.0674827,0.0644904,0.07509037,0.090208076,0.10207399,0.10617361,0.10305229,0.09693545,0.09175374,0.087924875,0.08590721,0.089915775,0.105816126,0.13365306,0.16269551,0.17756464,0.1697716,0.14456475,0.116935134,0.09970633,0.09626627,0.10068094,0.105452806,0.10775914,0.11027532,0.11965885,0.14184321,0.1776656,0.21725702,0.24173506,0.23561673,0.19785458,0.14441901,0.09408138,0.05861191,0.03863465,0.031296007,0.033839855,0.045578822,0.06390256,0.08603109,0.11066338,0.14328761,0.18827568,0.24131973,0.28377295,0.29744187,0.27716473,0.23453921,0.18439387,0.13561545,0.091718145,0.05761947,0.041410793,0.04980573,0.080517374,0.12271285,0.16136062,0.18986796,0.20837659,0.21954261,0.21851599,0.20116036,0.17227484,0.14905713,0.14565091,0.16077618,0.1761579,0.1735519,0.14752431,0.10885658,0.07236091,0.047582854,0.035123434,0.031910557,0.035389733,0.04311605,0.052311268,0.05941994,0.06558211,0.07387555,0.08900941,0.112165175,0.14540735,0.18804307,0.23609902,0.27727413,0.2992932,0.29326257,0.2610614,0.21090011,0.15838116,0.11760638,0.09539073,0.08585337,0.07727621,0.06342388,0.04744533,0.03766835,0.03744648,0.044599324,0.053735513,0.06279732,0.07234936,0.08637651,0.10904797,0.14395906,0.18585558,0.22049154,0.22861408,0.2049939,0.16418302,0.1353368,0.13582212,0.15913506,0.17915003,0.17642291,0.15274258,0.12478303,0.105226286,0.0916859,0.07720337,0.058490217,0.040631488,0.02824101,0.023968821,0.028396443,0.042109165,0.0664329,0.100508176,0.13936383,0.17084442,0.18209337,0.17048262,0.14869778,0.1352064,0.13746434,0.14651805,0.1465257,0.12863861,0.09666938,0.06285336,0.040389962,0.03857236,0.058379997,0.09287804,0.12728722,0.14802144,0.14746524,0.12945198,0.103353284,0.07920099,0.061454523,0.04996107,0.04268991,0.040665463,0.04809274,0.07025396,0.10378403,0.13632677,0.14890993,0.13420522,0.0995105,0.063811146,0.039498296,0.027710207,0.022052348,0.01761839,0.014462761,0.014785011,0.021337956,0.033964593,0.050697487,0.0694797,0.09590322,0.139852,0.20713949,0.28364465,0.34340182,0.36346278,0.34723076,0.31438208,0.28792587,0.2700489,0.2526662,0.22392552,0.18781357,0.15432791,0.13514781,0.13015139,0.1351117,0.1470203,0.16911443,0.20192142,0.23568709,0.2524952,0.2389787,0.19801734,0.14675719,0.10354004,0.07601439,0.061907902,0.05895372,0.06988647,0.09471768,0.12458209,0.14275114,0.1404051,0.119419344,0.09168369,0.06616758,0.048235834,0.038144726,0.03441229,0.03381468,0.033824652,0.034476962,0.03902911,0.048431758,0.060081437,0.066550136,0.06755224,0.06854171,0.08171103,0.10775202,0.1405526,0.16672806,0.18615377,0.20215337,0.22149126,0.23962392,0.25481692,0.2698504,0.2939409,0.33022892,0.3690939,0.39529693,0.39652267,0.3772494,0.35208014,0.3379794,0.33727404,0.3408216,0.3357664,0.3176168,0.28955677,0.25625035,0.21991515,0.17940801,0.1355909,0.091810554,0.055084858,0.030883232,0.021995118,0.02616109,0.039039005,0.05363265,0.06588154,0.07551729,0.089712895,0.112623714,0.14039108,0.1571843,0.15097503,0.123224564,0.093369134,0.0828973,0.101583816,0.13852596,0.17014112,0.17550331,0.15009104,0.10780259,0.0683359,0.0443791,0.035226792,0.033508178,0.032803584,0.032463294,0.035987627,0.04614848,0.061847236,0.0770909,0.086091876,0.0879212,0.08819646,0.09570826,0.114386596,0.14162524,0.16770397,0.18518655,0.18944311,0.1821611,0.16700506,0.1543141,0.1542825,0.17072743,0.18967582,0.19095336,0.16270995,0.11478243,0.06691376,0.034744192,0.020008564,0.016395027,0.01692508,0.018223884,0.019399317,0.019991009,0.019612798,0.018229885,0.016673265,0.017267449,0.024054354,0.041576583,0.06882845,0.09688402,0.111513495,0.10569918,0.084305234,0.060794447,0.04475071,0.03746623,0.034811288,0.033379152,0.032815464,0.035556033,0.046420623,0.07021738,0.10417508,0.13520439,0.14477988,0.12598062,0.08837107,0.052587554,0.032191142,0.028021047,0.032019973,0.039099712,0.05332545,0.08279045,0.13065602,0.18492053,0.22594583,0.23508233,0.21025598,0.16149879,0.108365946,0.06741651,0.051829223,0.06557688,0.10129949,0.13957779,0.1575535,0.14523758,0.11189593,0.08007901,0.0685815,0.07962719,0.100149564,0.10995787,0.09930462,0.0716205,0.042933017,0.026899649,0.031211125,0.05207901,0.07871874,0.09528332,0.09230113,0.07149515,0.045189258,0.025022939,0.015902096,0.016503422,0.02385802,0.03448705,0.043613862,0.046365354,0.04196486,0.03534882,0.03533415,0.048267026,0.07353448,0.10178998,0.12080258,0.12421376,0.11790044,0.11374432,0.118427336,0.12503403,0.12181135,0.10259106,0.07422537,0.047604457,0.0303038,0.021747896,0.018383713,0.017371505,0.018457627,0.023020051,0.033909377,0.0561031,0.09290988,0.14155646,0.19024186,0.22698414,0.24738593,0.25760365,0.26566353,0.27502957,0.28500664,0.29246235,0.29392716,0.2822747,0.2540493,0.21277805,0.17336619,0.14903356,0.14372328,0.1458085,0.14123611,0.12159381,0.09317228,0.06939341,0.064032786,0.08327858,0.12335491,0.1753334,0.22432904,0.25812364,0.26536775,0.24689077,0.21229929,0.18016873,0.16408683,0.16725959,0.18250464,0.20051433,0.21589865,0.22584482,0.22809452,0.21982455,0.20317173,0.18535681,0.17580853,0.17417943,0.17124091,0.15567772,0.12984733,0.10568742,0.094752856,0.0960811,0.101843685,0.10504494,0.10305161,0.094583474,0.07902042,0.059640378,0.043460798,0.03614856,0.038517687,0.04858795,0.0683688,0.10145942,0.14668281,0.19148254,0.21894725,0.21854202,0.19197662,0.14970885,0.10355613,0.06342751,0.034910355,0.020396208,0.019284403,0.031524047,0.055241812,0.08851182,0.12611791,0.16646121,0.20594174,0.24090374,0.26042053,0.2561806,0.22694929,0.18532427,0.14916356,0.13103835,0.13159113,0.14438766,0.16438818,0.18916953,0.21286678,0.223893,0.21293335,0.18368816,0.15255545,0.13528396,0.13364412,0.13610256,0.13115706,0.12032696,0.115911834,0.1294363,0.16001312,0.19658701,0.22699653,0.24582537,0.25493518,0.25676486,0.2526977,0.24045743,0.22061957,0.19534765,0.17158777,0.15423125,0.1445192,0.1367831,0.1243166,0.10564703,0.086380154,0.07393057,0.069320045,0.06821642,0.066226326,0.064510114,0.06670468,0.07515683,0.08947587,0.108007394,0.12741391,0.14144826,0.14322801,0.13019812,0.10709882,0.08354386,0.0674721,0.061917435,0.06431502,0.07195356,0.08314937,0.097103894,0.109807946,0.11396599,0.104544856,0.08225166,0.05540955,0.033194814,0.0244092,0.035499427,0.071150504,0.12846716,0.19352959,0.24506068,0.26680878,0.25593615,0.22235239,0.17842281,0.13358925,0.09237068,0.05839284,0.033718012,0.019151608,0.013279844,0.015397336,0.026702115,0.048629727,0.07741168,0.10263598,0.11340844,0.10840205,0.0971202,0.090404265,0.09029042,0.09036449,0.08649188,0.082517534,0.08847182,0.10847533,0.1361321,0.1552547,0.15327282,0.12916061,0.096150376,0.07159645,0.06783297,0.08460545,0.11068932,0.12903072,0.12799345,0.10704038,0.07752764,0.05281794,0.04047868,0.038654175,0.04057617,0.041004732,0.038412612,0.034714136,0.033273816,0.040936198,0.06926074,0.12954131,0.22520982,0.3420765,0.45462856,0.5349739,0.5710697,0.5675749,0.5397596,0.49966586,0.45255396,0.40499893,0.36466074,0.3382156,0.319334,0.3022853,0.28475726,0.27961123,0.2905561,0.31546396,0.3323162,0.327596,0.2904361,0.23138891,0.16251962,0.103507645,0.0653817,0.05654934,0.072010204,0.10167954,0.13024949,0.15039535,0.15706839,0.15204976,0.13985346,0.13819198,0.16360842,0.21881396,0.2762849,0.30166265,0.27737245,0.2213191,0.16341,0.12495816,0.104040675,0.08977467,0.073794246,0.056905728,0.044742625,0.04044741,0.0458131,0.06286797,0.10198871,0.16937499,0.25630596,0.32792816,0.34843597,0.30553225,0.2242511,0.14239074,0.085608,0.05940335,0.062541924,0.09761638,0.16247158,0.23758596,0.28751945,0.2874016,0.24786435,0.21373163,0.22794743,0.29793587,0.38955772,0.4606482,0.49044296,0.48739013,0.4671285,0.43258604,0.37641585,0.29383788,0.19983105,0.11780712,0.06890192,0.053689063,0.05947554,0.06916522,0.075065516,0.07930078,0.08925083,0.10884593,0.13729028,0.16878575,0.20183252,0.23475166,0.27076173,0.305227,0.33406278,0.343088,0.32339326,0.27030694,0.2015572,0.14560531,0.12915832,0.15205409,0.18771623,0.20185377,0.17897882,0.13191523,0.08748732,0.066668674,0.07051354,0.08712863,0.10265405,0.117153466,0.13764983,0.16651589,0.1880272,0.18208277,0.14480992,0.095241435,0.060226407,0.049862817,0.0562178,0.062522516,0.06343884,0.0656926,0.08115325,0.11304448,0.15223454,0.18721764,0.21099405,0.22676776,0.23802829,0.24942334,0.26313078,0.28367615,0.30948207,0.33455428,0.3465173,0.3410848,0.32094577,0.3017351,0.2934487,0.29777464,0.29693863,0.27424482,0.22352016,0.16026643,0.10497715,0.07073556,0.05560002,0.050619032,0.048161853,0.045939315,0.044062704,0.042332966,0.039038748,0.034323405,0.030503215,0.03076289,0.03493154,0.039485674,0.04098411,0.03913246,0.036645707,0.03520451,0.034810115,0.034458194,0.03526904,0.03952752,0.049319476,0.0647001,0.08291438,0.09888542,0.105958275,0.100550495,0.084141225,0.0631245,0.043542594,0.028463976,0.019023957,0.016765261,0.024406364,0.0407714,0.060012028,0.07216349,0.07321934,0.065291524,0.055637125,0.046830684,0.039329275,0.033016805,0.03098791,0.033902746,0.038359936,0.03845131,0.03207998,0.022221262,0.014496707,0.012626324,0.017867193,0.030992448,0.054288026,0.08855518,0.12780373,0.15871,0.1690199,0.15685888,0.13217102,0.11022252,0.107385956,0.13624889,0.19878936,0.27701828,0.33961236,0.36207417,0.34582853,0.31587848,0.2985574,0.30166447,0.31030098,0.30259857,0.26675197,0.20905264,0.14676791,0.097213894,0.070075184,0.067781456,0.08380904,0.1051173,0.114203505,0.102577746,0.075056605,0.05029908,0.04926656,0.08785371,0.16867094,0.2755882,0.37628362,0.4341514,0.42916223,0.3680369,0.28336743,0.21431686,0.18549727,0.19386542,0.21921921,0.24430686,0.26533014,0.28030118,0.27918485,0.24841672,0.18968804,0.122372925,0.07080337,0.045421395,0.04047456,0.04332382,0.046445534,0.05044661,0.058261145,0.0684242,0.073772304,0.06845156,0.053382427,0.0369168,0.028496496,0.033664923,0.050356,0.07028321,0.08259583,0.081989706,0.07147737,0.060322586,0.054413322,0.053252503,0.0507722,0.04343997,0.03201772,0.02147902,0.015536242,0.014984243,0.01736843,0.019523365,0.019741353,0.018332409,0.017392753,0.018653236,0.022982186,0.028862422,0.034090694,0.036112744,0.035576854,0.035125274,0.039347455,0.049262363,0.063046165,0.07533551,0.08292255,0.084137805,0.08004334,0.07141263,0.05994465,0.048429575,0.041156575,0.042683434,0.054430723,0.073880084,0.09433386,0.11038799,0.120275915,0.12675512,0.13266097,0.13776207,0.13936369,0.13529672,0.12744026,0.12059886,0.120337784,0.13041458,0.15131874,0.17851412,0.20190234,0.2099865,0.19864817,0.17440183,0.15083009,0.13645284,0.13233836,0.13372695,0.1394077,0.15225796,0.17865443,0.22352397,0.28788248,0.3648477,0.4368929,0.47878286,0.4706521,0.41304663,0.33057514,0.25440028,0.20219058,0.17016017,0.14611134,0.122507,0.10098041,0.0863191,0.08124419,0.085144766,0.09572896,0.10971513,0.122630715,0.1291136,0.12670596,0.11879211,0.11328372,0.11557371,0.12555267,0.13919185,0.15424423,0.16800211,0.17595303,0.1729533,0.16058888,0.14768066,0.14201523,0.14319862,0.14419149,0.14001735,0.13178584,0.12423533,0.12171089,0.12546046,0.1327509,0.13805538,0.13647455,0.12989978,0.124053605,0.124031,0.12703277,0.12835717,0.12548538,0.12081346,0.114806585,0.10514001,0.08999235,0.07370456,0.0642595,0.065658085,0.07472283,0.08335987,0.08754442,0.08749321,0.08738487,0.0887517,0.09218797,0.09829741,0.11041391,0.13301568,0.16606359,0.20456916,0.23706321,0.2565082,0.26006997,0.25856552,0.268001,0.30661985,0.3729433,0.44024372,0.46710327,0.43214574,0.35530078,0.287463,0.27132165,0.31397352,0.38357744,0.44040188,0.46491674,0.471583,0.4902158,0.53573686,0.5972924,0.64969426,0.677958,0.6784528,0.6482548,0.5821219,0.48379895,0.3791732,0.2970883,0.2527822,0.23642375,0.23550995,0.23820908,0.23641317,0.2170505,0.17701529,0.12588231,0.082042955,0.05457407,0.042564306,0.040841106,0.049037408,0.06668961,0.08955789,0.1084719,0.11942884,0.1285187,0.14943989,0.18800934,0.23263557,0.25954363,0.25284466,0.21862197,0.17760791,0.14779954,0.13137375,0.12186107,0.11339581,0.10723519,0.10750243,0.11476659,0.12498423,0.13237385,0.1383761,0.1509128,0.1755767,0.20808385,0.2353499,0.24966729,0.2480623,0.231552,0.1979736,0.15337925,0.11354202,0.10200995,0.13007438,0.189914,0.25182632,0.28619698,0.27771527,0.23943089,0.19633342,0.16883008,0.15683909,0.14974456,0.13953061,0.12838827,0.12243851,0.12304535,0.12763041,0.13192932,0.13549255,0.13818847,0.14170535,0.14591242,0.15166189,0.1585512,0.16874819,0.18333317,0.2041056,0.22622453,0.24323733,0.24543644,0.23158778,0.20613444,0.1811166,0.16443087,0.16000587,0.1641289,0.17396514,0.18675303,0.20311414,0.21909148,0.22767861,0.22151703,0.2030618,0.18247037,0.16971433,0.16540432,0.16512649,0.16455206,0.16301785,0.16005486,0.1584483,0.16518249,0.18579333,0.21339013,0.22732674,0.21115611,0.16854753,0.123718135,0.099409156,0.09979809,0.11157534,0.122445025,0.13806738,0.17380963,0.23485172,0.2968187,0.32481572,0.2988682,0.23604119,0.17009342,0.12982605,0.120855056,0.1357416,0.16295137,0.19378553,0.22077847,0.23774828,0.24126469,0.23195899,0.21359527,0.19482398,0.18346578,0.18376692,0.18844076,0.18941885,0.1848587,0.18777181,0.21316059,0.26786074,0.3368043,0.3922876,0.40465954,0.36819807,0.3002671,0.23785847,0.2073216,0.22080529,0.26617005,0.3287896,0.38766924,0.43066835,0.44451925,0.42814758,0.38619566,0.33154652,0.27315918,0.21536422,0.15963362,0.11122466,0.07802022,0.06450633,0.066911906,0.075592406,0.08326652,0.08745325,0.08963058,0.089125305,0.085528284,0.08031311,0.07769547,0.08039407,0.08657745,0.0936509,0.09987701,0.10619574,0.11259169,0.11872384,0.12396282,0.12756015,0.12880602,0.12785459,0.12577876,0.12376687,0.12034265,0.1158287,0.112339176,0.1163787,0.12922013,0.14638245,0.1553411,0.14911358,0.12902658,0.11041876,0.10722106,0.12710746,0.16056782,0.19284052,0.20833074,0.20216171,0.1767335,0.14274701,0.11340431,0.10092733,0.10720911,0.12427753,0.13835324,0.14242159,0.13687575,0.12971015,0.13008547,0.14339525,0.16453706,0.17619342,0.1645064,0.13265409,0.10459601,0.10132881,0.122410916,0.14413534,0.1437802,0.1195491,0.09118227,0.078140415,0.08308041,0.091329016,0.09016854,0.07839444,0.066911824,0.06398263,0.07337013,0.09727303,0.14268483,0.21295543,0.29286516,0.35207877,0.36428317,0.33333445,0.28289926,0.23761086,0.20359297,0.1814674,0.1722259,0.18088286,0.20799826,0.25636384,0.32898048,0.42456532,0.52395755,0.5969259,0.6138046,0.56372195,0.45840684,0.33129033,0.22277893,0.16052034,0.14720829,0.1617751,0.1801194,0.18653144,0.18374617,0.17992966,0.183652,0.19063234,0.19346316,0.18534751,0.17142253,0.16049343,0.15813446,0.1626176,0.16938518,0.17947812,0.19402558,0.21094482,0.221924,0.22138406,0.2128755,0.20465285,0.20524238,0.21586895,0.23433478,0.25474954,0.26943445,0.27217063,0.2589221,0.23605014,0.21173084,0.1955149,0.1843972,0.17332594,0.15669304,0.14071156,0.13271469,0.13818844,0.1498266,0.1581849,0.15800506,0.16249847,0.1909833,0.25540447,0.34111992,0.41928986,0.46451977,0.4720255,0.44882452,0.40360022,0.3417244,0.2727454,0.21162821,0.17257832,0.16226004,0.17352545,0.19422825,0.2079242,0.2102799,0.20255737,0.19443782,0.19112922,0.1963589,0.21719734,0.25879356,0.31846488,0.36954275,0.38347992,0.34819755,0.2878314,0.23973231,0.22575976,0.23804094,0.25024343,0.24660261,0.22748172,0.2073801,0.19381814,0.19079284,0.19946952,0.22606988,0.2683232,0.3119977,0.3336232,0.32059655,0.27983427,0.23508517,0.20843649,0.20517538,0.2109418,0.20551609,0.1812133,0.14662331,0.11696002,0.09992502,0.09568665,0.09936217,0.10645188,0.11032333,0.10797625,0.10016046,0.0934337,0.09194013,0.0961983,0.10288874,0.10979267,0.11667952,0.124026425,0.13166271,0.13823758,0.1424135,0.14345099,0.14199996,0.14047901,0.1413074,0.14597361,0.15312815,0.16033678,0.16412096,0.16231495,0.15462126,0.14282429,0.13024218,0.12017802,0.11848232,0.12833208,0.15093778,0.17983657,0.21403372,0.25314644,0.29929677,0.33859172,0.35468328,0.33546078,0.29099202,0.2386477,0.19450879,0.16267015,0.1414601,0.12712583,0.11671862,0.11114267,0.11497709,0.13346197,0.16387756,0.19377439,0.20923279,0.20501776,0.18860869,0.17101951,0.16178896,0.165262,0.18504517,0.2163593,0.24602471,0.2532054,0.23064701,0.18806551,0.14860027,0.12627603,0.12332773,0.13563292,0.1605979,0.19601889,0.23418434,0.26862013,0.29684904,0.31903255,0.33021215,0.32002053,0.28711167,0.2418217,0.20364277,0.18257219,0.1785441,0.18523704,0.19973226,0.21896513,0.23498422,0.23569421,0.21578549,0.18205003,0.14911883,0.1266324,0.11519313,0.10925234,0.105435975,0.10289141,0.10206521,0.100746356,0.09827119,0.09654013,0.10096735,0.11301142,0.12821044,0.13805938,0.1381195,0.13173269,0.1268862,0.12952942,0.13982868,0.15441434,0.1713893,0.19059403,0.21237372,0.23468192,0.2542882,0.26876318,0.27563474,0.27549866,0.26854387,0.25851575,0.24605447,0.23150285,0.21265705,0.19099428,0.1734627,0.1692803,0.18300398,0.20664984,0.2266743,0.23435454,0.23572637,0.2448382,0.27002057,0.3063117,0.33771434,0.3492044,0.33376423,0.29695433,0.2546213,0.22196473,0.20690183,0.20263939,0.20140184,0.19604392,0.18906945,0.18168284,0.1757397,0.16734801,0.15381019,0.13516678,0.11884757,0.11342599,0.1215403,0.13652219,0.14808254,0.15137285,0.14907815,0.1486271,0.1538018,0.16347164,0.17155409,0.17451446,0.17274459,0.1717095,0.17559886,0.183428,0.18777128,0.17986007,0.15766458,0.12791914,0.10235254,0.08842648,0.085241444,0.08520147,0.0807105,0.07032553,0.0589,0.052181467,0.051158715,0.05232078,0.054728862,0.062073752,0.078679174,0.10139837,0.1204252,0.12822752,0.12555991,0.1215435,0.12368888,0.1338202,0.14585817,0.15277475,0.15311342,0.15227276,0.15789233,0.17051722,0.18568617,0.19777162,0.20527183,0.2073742,0.2015255,0.1862442,0.16367537,0.1405185,0.12247112,0.11264791,0.11074442,0.11469481,0.12006765,0.121319085,0.114257805,0.09964266,0.08229688,0.06757832,0.057362463,0.05077785,0.047113467,0.04746066,0.052853,0.06161047,0.07051762,0.07730023,0.08371545,0.09056789,0.09795814,0.10341271,0.1130561,0.13548928,0.17838131,0.23129483,0.2746456,0.29009447,0.27837786,0.25545958,0.23802789,0.23151909,0.22883122,0.22569732,0.2269618,0.24265619,0.273923,0.30695406,0.32551923,0.31968594,0.29358134,0.25782475,0.23097557,0.23037083,0.2588432,0.2969289,0.31762174,0.31877017,0.32245657,0.35198736,0.3971454,0.4283782,0.4185516,0.36717927,0.2876939,0.20131923,0.12599538,0.07691897,0.057267297,0.059907127,0.07217436,0.085498415,0.09581823,0.10107679,0.101278596,0.09963267,0.1025066,0.11362816,0.13138907,0.14904194,0.15819742,0.1546608,0.14158006,0.13019831,0.13060154,0.14270891,0.15458934,0.15517975,0.14898951,0.15589362,0.19045411,0.24175973,0.27549198,0.26393214,0.2106893,0.14896713,0.112467736,0.115184106,0.15244733,0.21411312,0.28706047,0.3493147,0.37579373,0.35248303,0.2895418,0.21063673,0.13931943,0.08828187,0.06339975,0.063916676,0.083500825,0.10922066,0.13076018,0.14351954,0.15046586,0.15487939,0.15937315,0.16645317,0.17792213,0.19444264,0.2115404,0.22516648,0.23112905,0.22892934,0.22025843,0.20978858,0.20648289,0.21544431,0.23682268,0.258605,0.2700924,0.27041188,0.2735213,0.2943429,0.32662535,0.34801328,0.3350849,0.29205415,0.24011739,0.20448752,0.19324894,0.20349932,0.22628975,0.2583316,0.30027136,0.35444745,0.41041818,0.44980112,0.45214996,0.4181788,0.3610711,0.30465874,0.26014137,0.23586832,0.23189503,0.25368282,0.29848376,0.35583177,0.40448532,0.42878214,0.42915928,0.41753915,0.40814754,0.403738,0.40341082,0.4014397,0.3951843,0.38092542,0.3559915,0.32228008,0.28465205,0.25455773,0.23791777,0.2367264,0.24548477,0.2585319,0.27286455,0.2840961,0.2930595,0.3002679,0.3132858,0.3328693,0.35735723,0.37956893,0.39477396,0.4005166,0.39753082,0.39161873,0.38728675,0.3847276,0.37537113,0.35536775,0.331568,0.32145807,0.3354224,0.36582097,0.39129803,0.3934057,0.3733692,0.34723994,0.33568624,0.34444916,0.36714795,0.388052,0.39859763,0.39671203,0.38726568,0.37367404,0.3586752,0.3444096,0.33363262,0.3272954,0.3241681,0.32083526,0.31543025,0.3071141,0.30009124,0.29885373,0.30676106,0.31885877,0.32670256,0.32529804,0.31566456,0.3013737,0.2811933,0.256492,0.23486894,0.2295634,0.24646826,0.2779392,0.30853954,0.32641637,0.3296865,0.32488105,0.3192878,0.3183972,0.3221817,0.32935992,0.33657876,0.34151295,0.34301224,0.34151152,0.33927646,0.33499405,0.32749358,0.31237045,0.29256153,0.2694683,0.25101855,0.23798461,0.23446165,0.23646092,0.24311344,0.24978226,0.25608575,0.26223418,0.26886347,0.27629614,0.280736,0.28276375,0.2824318,0.28670004,0.29590484,0.31189075,0.32959482,0.34935796,0.36452055,0.37069464,0.3568031,0.3251411,0.28466922,0.2562235,0.24830143,0.2559993,0.26342073,0.26190177,0.25559428,0.25338563,0.25999236,0.27426293,0.29109,0.3068492,0.3157468,0.3185363,0.31676814,0.3161849,0.31783363,0.322135,0.32888553,0.3374964,0.3452886,0.3472273,0.34179023,0.33156252,0.3215246,0.31275782,0.30512,0.29801717,0.29561052,0.2986488,0.30701745,0.31573126,0.32615343,0.34142676,0.36624518,0.39544523,0.41900924,0.42633975,0.41847757,0.4016223,0.3876662,0.37869406,0.37763476,0.37707618,0.37765053,0.37289402,0.36547384,0.3524547,0.3408005,0.33142555,0.3242841,0.3096216,0.2860361,0.26200688,0.2533738,0.26276985,0.27792487,0.28071412,0.2644135,0.23442875,0.2018116,0.1733437,0.1524087,0.13997115,0.13945083,0.14998184,0.1681806,0.18293934,0.18627952,0.17190708,0.143447,0.11124485,0.09168746,0.09826285,0.12911473,0.17161466,0.20888026,0.23885536,0.26204777,0.27690408,0.27118346,0.2429591,0.20486696,0.17897807,0.1736498,0.18063395,0.18419935,0.17916183,0.17151582,0.16847284,0.16783501,0.1586513,0.13530506,0.102750234,0.07626288,0.06669235,0.07549113,0.092853926,0.10694464,0.110668115,0.10545572,0.09735458,0.09231665,0.09196127,0.0942337,0.09380853,0.0882676,0.080613814,0.080171645,0.09054271,0.10559391,0.10993529,0.09644253,0.0701473,0.049044263,0.048655648,0.076001376,0.11996371,0.15813439,0.16673188,0.14458334,0.11514405,0.117976226,0.17172098,0.2619312,0.338758,0.35931087,0.3096734,0.21984315,0.13147123,0.077324815,0.06463786,0.08400998,0.11755315,0.14552058,0.15558927,0.14469431,0.12331235,0.1045078,0.09884417,0.10516709,0.1149312,0.117548525,0.10944524,0.09400603,0.07861823,0.06804841,0.0639008,0.063190326,0.06267012,0.059712738,0.05840464,0.06840432,0.101946674,0.16059606,0.22852464,0.27586928,0.27893183,0.2358855,0.16853006,0.10460616,0.063761316,0.05308311,0.07702135,0.13717242,0.22877848,0.33041158,0.41466913,0.46039394,0.46670341,0.44631422,0.41423225,0.37925813,0.34396163,0.31290293,0.29066733,0.27920672,0.27063656,0.25531545,0.23225306,0.21104665,0.20374908,0.21096116,0.22713421,0.24451704,0.26424047,0.28828314,0.31625128,0.33689407,0.33495784,0.30217084,0.24595086,0.1882519,0.14891525,0.1411925,0.16085327,0.19601846,0.22126216,0.21899526,0.18184225,0.12630655,0.073208064,0.040287845,0.028792335,0.032427635,0.041720014,0.05235209,0.06346014,0.07532075,0.085806035,0.090015404,0.084950745,0.070549235,0.052650232,0.0373862,0.03094154,0.03298508,0.040036302,0.046173144,0.05225356,0.06319994,0.08496583,0.11241237,0.13336134,0.1346307,0.11665312,0.08954329,0.06856126,0.06317916,0.08030758,0.119879805,0.17389898,0.22162616,0.24240251,0.22683997,0.18417251,0.13297126,0.091873445,0.07250931,0.07575122,0.091409914,0.102999784,0.101079434,0.08942788,0.08000996,0.07955857,0.08430291,0.0866813,0.0838612,0.080502905,0.084956445,0.10581002,0.14610092,0.19863982,0.2436266,0.26121113,0.2447939,0.20789438,0.1715612,0.14893194,0.14025237,0.13858594,0.14059454,0.14659096,0.15930074,0.17787065,0.1985427,0.21514268,0.22256567,0.21893775,0.20545794,0.18654692,0.16703534,0.15226626,0.14421485,0.14123732,0.13886732,0.13374825,0.1273226,0.12307315,0.12531556,0.13392211,0.14747806,0.16157316,0.1737011,0.1800862,0.17879088,0.16664387,0.14668952,0.12951386,0.13703792,0.18735309,0.28084743,0.3878783,0.46535638,0.4801854,0.43221614,0.34707698,0.25906864,0.1886921,0.14263617,0.11667196,0.10768741,0.10928452,0.117450275,0.12809236,0.14767575,0.18177867,0.22903566,0.26873854,0.2804033,0.26006535,0.23559938,0.23798983,0.2765791,0.31881303,0.32562923,0.2790548,0.20411597,0.13650076,0.100698136,0.09269217,0.101052195,0.11775138,0.14538543,0.181647,0.21504079,0.22813189,0.21438865,0.18203087,0.14696273,0.12044826,0.10595193,0.102508835,0.10628265,0.11166013,0.112439446,0.10695063,0.0969525,0.08582162,0.07518595,0.068789534,0.073048025,0.09360757,0.12795056,0.1648817,0.19069447,0.19908904,0.19241683,0.1807397,0.17182893,0.17050044,0.17543994,0.18523484,0.19664045,0.20624535,0.21074712,0.21041627,0.20971519,0.21278144,0.22141999,0.23035729,0.23554598,0.23135708,0.22364575,0.21472692,0.21408176,0.2175958,0.22939198,0.24210787,0.26021492,0.27351043,0.28096864,0.27185577,0.25346208,0.23234312,0.22218078,0.22139327,0.222867,0.2165975,0.2028014,0.18639554,0.17267418,0.16142063,0.1530236,0.14836068,0.15068996,0.16017228,0.17377765,0.18660605,0.19323118,0.19532835,0.19608064,0.20277047,0.21401064,0.22719206,0.2359056,0.23804241,0.23316085,0.22301495,0.2127332,0.20664735,0.20863736,0.21576542,0.22537439,0.2342139,0.24375695,0.25337994,0.26190948,0.26733908,0.2705531,0.27389348,0.2767131,0.27615878,0.26962256,0.2595425,0.2525668,0.25496134,0.2705002,0.29650357,0.32710302,0.35345617,0.3691469,0.3716518,0.36228433,0.34564006,0.3259664,0.3082087,0.29580367,0.29218176,0.2987766,0.31312916,0.3297851,0.3414273,0.34528506,0.34187403,0.33549663,0.32775995,0.31812617,0.3050153,0.28998223,0.2777731,0.2706535,0.26793146,0.2658774,0.26538002,0.26835456,0.2784879,0.2952025,0.3169855,0.3390433,0.35762843,0.3707808,0.3791677,0.3835894,0.3824092,0.3759034,0.36559817,0.3562577,0.34885702,0.34361675,0.33839592,0.33476186,0.3355188,0.34517935,0.36254752,0.38083157,0.3896688,0.38807622,0.38547397,0.3957982,0.41926315,0.44213244,0.4474273,0.4327834,0.4110686,0.39676437,0.3965232,0.40448728,0.41660035,0.42760396,0.4408882,0.45239007,0.46186924,0.46195915,0.45556673,0.44488072,0.43956614,0.44201478,0.45315468,0.46497157,0.47279027,0.4719733,0.4671084,0.45816925,0.44747743,0.43138412,0.4152409,0.40165225,0.39674667,0.39845517,0.40815917,0.42407057,0.44680682,0.47024143,0.48732698,0.49111524,0.48171368,0.46409464,0.44332942,0.42155194,0.3986198,0.3747801,0.35109565,0.32720065,0.30463636,0.28511477,0.27355686,0.2711493,0.2783563,0.2939527,0.31806418,0.34825364,0.37572217,0.3913908,0.39082387,0.38457677,0.38342294,0.39427122,0.40223488,0.39355266,0.36185983,0.331569,0.32685158,0.35847422,0.40185404,0.43113157,0.43354,0.42436182,0.4193312,0.42572626,0.4353615,0.4375938,0.42746958,0.4061676,0.38397893,0.36783504,0.3618491,0.35532942,0.33890787,0.30938998,0.2815185,0.2666409,0.26452005,0.2550213,0.22598815,0.18083377,0.1457009,0.14063954,0.16800071,0.20437999,0.22360314,0.21508223,0.19311106,0.18170834,0.19647913,0.23240757,0.27045298,0.2899036,0.28399602,0.26168332,0.2394188,0.22764818,0.22248904,0.21250133,0.18604685,0.14522503,0.10154361,0.07193678,0.06351722,0.07348295,0.08971849,0.10037822,0.09804731,0.08837368,0.089144625,0.12390697,0.20221312,0.30938923,0.40791023,0.4579581,0.43804574,0.35734665,0.24929361,0.15321015,0.09464558,0.07767253,0.08843783,0.107102364,0.117633305,0.116501,0.110338055,0.10708525,0.10608593,0.09913793,0.0822725,0.061667174,0.052059937,0.063398205,0.094753705,0.13040596,0.15143175,0.14632963,0.12234617,0.096121825,0.08194666,0.08064864,0.08677727,0.09500649,0.10280821,0.10632765,0.100711495,0.08626484,0.07045281,0.06476518,0.07485094,0.097325236,0.121212244,0.13675551,0.1390142,0.12955853,0.110815816,0.08723286,0.064712174,0.056717265,0.079412244,0.1419729,0.2283907,0.2987477,0.31145152,0.25871697,0.17318165,0.1053512,0.085750155,0.11120468,0.15757473,0.20465825,0.24689992,0.28393182,0.304583,0.29325783,0.24537271,0.1830238,0.13554285,0.119385995,0.12558253,0.13504253,0.1376638,0.13410099,0.13025403,0.1234178,0.111908354,0.0950737,0.080789745,0.07202149,0.069331616,0.06654393,0.062272713,0.05719742,0.058186043,0.066492416,0.07865592,0.083150454,0.07564581,0.062507674,0.06536876,0.10686216,0.19620232,0.31414032,0.41615233,0.45942852,0.43063036,0.35547122,0.27402624,0.21888061,0.20658065,0.24081333,0.3101091,0.38328806,0.4297041,0.43491578,0.4109118,0.3677388,0.30928907,0.23262607,0.15044056,0.08090539,0.040843304,0.03253119,0.053625558,0.09527922,0.14866145,0.19987531,0.24334313,0.27597114,0.2999784,0.30964753,0.30128443,0.2730447,0.23614694,0.20516557,0.19955091,0.22579825,0.27874783,0.32995263,0.35344064,0.3328532,0.28312242,0.22548564,0.18081892,0.15315837,0.14873211,0.17427163,0.23371546,0.3109857,0.37635395,0.40549758,0.39525536,0.36123714,0.31678298,0.2665599,0.20666875,0.14208476,0.08345602,0.044888575,0.030852785,0.040056717,0.064533,0.09539237,0.12344263,0.1488883,0.1795861,0.22312982,0.27020225,0.300315,0.29987523,0.2791269,0.26413858,0.27158025,0.29554817,0.31099787,0.30012336,0.2668176,0.23493968,0.22396855,0.23020017,0.23640962,0.2336799,0.23574172,0.25807664,0.29784784,0.32935968,0.3283285,0.28859934,0.22458732,0.15642874,0.10130062,0.06782065,0.056202218,0.058168788,0.06151691,0.058172103,0.04755253,0.035555016,0.02705007,0.023979543,0.024636457,0.027434925,0.03075859,0.03391971,0.036201622,0.03779699,0.039697334,0.042453956,0.04577062,0.048329342,0.05232491,0.06304676,0.086315535,0.11884966,0.14824508,0.1584934,0.14415538,0.11188687,0.07665248,0.050016794,0.039397094,0.047786277,0.074225254,0.10880831,0.13420142,0.13809039,0.12496015,0.11533025,0.12480348,0.15292759,0.18615685,0.21986608,0.2598221,0.3110343,0.3623823,0.3932333,0.39034215,0.3551518,0.29871807,0.23429738,0.17662616,0.14209259,0.1376843,0.15357463,0.16602702,0.16005194,0.14483227,0.14735107,0.18592788,0.24929667,0.301327,0.30788252,0.26065892,0.18401365,0.11417297,0.07777708,0.0741851,0.08505712,0.0902456,0.088135004,0.09420431,0.12488357,0.17696989,0.22856928,0.2610846,0.27811489,0.2946702,0.3143402,0.31889406,0.29571265,0.2556673,0.23170246,0.24292116,0.27964386,0.31485653,0.33127725,0.33246598,0.32759222,0.32440126,0.32562983,0.33415508,0.34102282,0.32836816,0.2850862,0.22892565,0.19729902,0.2161055,0.2761673,0.34143078,0.37918636,0.37715814,0.34199858,0.28489006,0.2189387,0.16110145,0.12794307,0.12293821,0.13115488,0.13314901,0.124085754,0.113764256,0.11173291,0.112336546,0.10370486,0.08059291,0.05118301,0.026842333,0.013216405,0.008724368,0.010707085,0.019279493,0.036999863,0.06354838,0.09709346,0.13640858,0.1857083,0.24574427,0.30635515,0.3451616,0.34363177,0.30390516,0.25383216,0.23048836,0.25518373,0.31578812,0.38046268,0.4209635,0.4330381,0.42246982,0.39588025,0.35549995,0.31104925,0.27401036,0.24712062,0.22107452,0.18452607,0.1385663,0.09426548,0.06566569,0.056248117,0.05919953,0.061534222,0.056678236,0.046460185,0.037507053,0.03247243,0.028970083,0.023945384,0.016904669,0.010277694,0.005564299,0.003244933,0.0024418137]