[0.10538904,0.11847898,0.14667481,0.17768872,0.19281013,0.1796362,0.14060345,0.093575954,0.05751312,0.044020742,0.053589534,0.07971671,0.111665785,0.13837485,0.15332083,0.15539272,0.1469789,0.12970932,0.10667855,0.08436292,0.071940996,0.07511931,0.09069967,0.109219514,0.11912019,0.11608153,0.10118896,0.08145938,0.061641347,0.046577204,0.040264394,0.04853468,0.073475234,0.110105075,0.1465679,0.17189862,0.18140239,0.17699258,0.161844,0.13918604,0.11360451,0.09215628,0.08058981,0.07838876,0.07950521,0.0769323,0.06860756,0.05678071,0.044969793,0.034695905,0.026822485,0.023861187,0.030637642,0.049738098,0.07774974,0.10399502,0.11862594,0.11858603,0.111371726,0.106327094,0.108444,0.11301484,0.11304123,0.1038434,0.088590026,0.0726736,0.06135103,0.054962914,0.05187079,0.049343575,0.047588732,0.049841303,0.061085388,0.08423698,0.11607591,0.14719063,0.16527809,0.16398181,0.14773881,0.12877573,0.117042534,0.11317259,0.11182668,0.10788726,0.10080469,0.09272822,0.08733293,0.08776056,0.09477916,0.10480691,0.111821026,0.112114824,0.10701176,0.10191079,0.1003064,0.101762705,0.10055566,0.09254184,0.077336736,0.06170928,0.05243485,0.053015966,0.058797166,0.06274517,0.058703396,0.04776646,0.03568775,0.032690424,0.046331406,0.079400145,0.122536816,0.1599384,0.17532687,0.16697161,0.14475079,0.12351208,0.10921975,0.100765444,0.095633924,0.09466475,0.099221826,0.10596952,0.109446324,0.10574028,0.09774334,0.09148758,0.092872225,0.101569384,0.11214331,0.116644405,0.11223242,0.101846375,0.092279084,0.086670585,0.08470639,0.08335051,0.08161078,0.07908659,0.07629896,0.07362489,0.07205946,0.072364666,0.07371047,0.07482952,0.075295,0.07582251,0.07616484,0.07421355,0.069135025,0.062194124,0.056287553,0.051850986,0.048510123,0.046205614,0.046942394,0.051396955,0.058133323,0.063331,0.064203024,0.059885427,0.05233845,0.04450879,0.038999394,0.03685208,0.03746677,0.039510403,0.041129246,0.040941697,0.03811516,0.03332324,0.029203743,0.030598028,0.04398946,0.07194162,0.11006069,0.14447318,0.16198647,0.15623121,0.13355075,0.105368465,0.08190567,0.06689373,0.058733616,0.054504305,0.051679105,0.04994609,0.049176034,0.04994893,0.051788684,0.05460213,0.058132768,0.06325028,0.06974082,0.0756795,0.07725794,0.07243424,0.063086785,0.054582197,0.051179394,0.05375834,0.059411366,0.06602838,0.07187418,0.07603336,0.07486003,0.06678706,0.05452774,0.04721922,0.05266108,0.070898175,0.09262115,0.10579898,0.10525659,0.09384932,0.08048483,0.07058715,0.066511035,0.06552671,0.06601704,0.06593303,0.06520621,0.064440124,0.06522021,0.06913352,0.07455325,0.07857589,0.0771203,0.070821345,0.06210552,0.055534735,0.05206338,0.05173983,0.052723985,0.05433577,0.0549898,0.053875197,0.05136605,0.04952659,0.049973037,0.051607516,0.05257156,0.05245018,0.05350025,0.056892913,0.061043203,0.06270201,0.060711753,0.056320738,0.051143,0.045267846,0.03874843,0.033526186,0.03263406,0.037805453,0.046926755,0.056460857,0.06341048,0.068812944,0.07475826,0.08233204,0.08836213,0.08934241,0.0842896,0.0766573,0.069841936,0.0654027,0.06189565,0.058279958,0.05312613,0.046270326,0.037435483,0.028459743,0.02187217,0.020800045,0.027431026,0.04250865,0.0649846,0.08978042,0.1093596,0.116140656,0.10945648,0.095501,0.08330157,0.077914275,0.078505896,0.08194306,0.08483287,0.08518177,0.08136846,0.073614314,0.06459089,0.057734784,0.055182487,0.055477757,0.05590881,0.054120008,0.0501814,0.04513293,0.040379163,0.037215874,0.037816197,0.04430769,0.05603527,0.067902006,0.072252184,0.0654546,0.052629095,0.04870974,0.07164896,0.13021082,0.21346915,0.29289424,0.3410908,0.3495153,0.32919216,0.2955986,0.25847304,0.22619645,0.21128142,0.22325866,0.25557062,0.2845602,0.28718212,0.25903693,0.21576601,0.17921944,0.16166313,0.16491063,0.18350834,0.21046494,0.2365338,0.24997936,0.2422897,0.21118326,0.16883267,0.13520911,0.13080856,0.1602866,0.20901518,0.2535198,0.27550885,0.2735385,0.2535257,0.22613974,0.19758247,0.17661935,0.16824271,0.17441858,0.18904953,0.20540142,0.21740182,0.22163041,0.21242546,0.18974525,0.16133857,0.14338237,0.14408273,0.16020022,0.18104886,0.19993931,0.21298482,0.21399248,0.19749178,0.16754399,0.14109786,0.13507457,0.15239684,0.17992729,0.20241332,0.21534191,0.22634692,0.24133272,0.25810853,0.26499298,0.25647262,0.23552181,0.21615784,0.20838451,0.21326643,0.22001778,0.21692885,0.19990863,0.1738841,0.14733191,0.12420923,0.10396382,0.08328214,0.061471228,0.040403027,0.02364404,0.013050873,0.010277103,0.018947667,0.048734978,0.10711738,0.1938132,0.2909068,0.37737596,0.43316182,0.45409778,0.4404225,0.4034784,0.35441196,0.30753478,0.26606706,0.2272212,0.18467051,0.14257765,0.1134671,0.11247951,0.13843316,0.17467713,0.1966272,0.19931005,0.19297808,0.19663022,0.21314038,0.23952438,0.26487824,0.28255758,0.281389,0.2591297,0.21972473,0.1750174,0.13314621,0.10112112,0.08836812,0.10343456,0.14452107,0.19219995,0.22201838,0.21999435,0.19238882,0.15638915,0.12657247,0.10895891,0.10557265,0.12132289,0.15806971,0.2071873,0.24741888,0.26192045,0.25052232,0.22866762,0.21105586,0.20106101,0.19567157,0.19104688,0.18815179,0.18454283,0.17837852,0.1656024,0.14937145,0.13435605,0.12641658,0.12759644,0.13919263,0.1677628,0.21491176,0.2750289,0.32206985,0.33672538,0.3084554,0.2553965,0.19769597,0.15843423,0.14364499,0.1528362,0.17498721,0.1980691,0.20981038,0.20340858,0.18313716,0.16405348,0.1629184,0.1830587,0.211904,0.232204,0.23522359,0.22227919,0.19917436,0.1719821,0.14598355,0.123447925,0.10343915,0.08713194,0.081204444,0.09444662,0.1283675,0.17480278,0.22053035,0.2527483,0.26213315,0.2446944,0.20586093,0.15919901,0.11929166,0.09260037,0.07567675,0.06130832,0.045765296,0.03202997,0.026608726,0.0362363,0.06291723,0.10492599,0.15439296,0.20186883,0.23590739,0.25095484,0.24800213,0.23441423,0.2174655,0.19936906,0.18112884,0.16286808,0.14891098,0.1399229,0.13512318,0.12807189,0.11446333,0.09369538,0.07442277,0.070926525,0.0952303,0.14655803,0.209675,0.26346996,0.29464626,0.29983726,0.28370643,0.25031054,0.20809446,0.16941138,0.15387577,0.17580235,0.2365973,0.3177887,0.39262354,0.43990397,0.45438826,0.44206858,0.41175508,0.37156627,0.33141863,0.30221465,0.289861,0.29065645,0.29571772,0.29888722,0.2992899,0.29822192,0.29484698,0.2901949,0.28708866,0.2914957,0.30257332,0.31604195,0.32203928,0.31653604,0.2976464,0.27075455,0.24176155,0.21838458,0.20545433,0.20365335,0.20858152,0.21224172,0.21059908,0.20682766,0.20704228,0.21111397,0.20806015,0.19029129,0.16236962,0.14491628,0.15364867,0.18967332,0.23571873,0.27284425,0.2878991,0.27877453,0.24739878,0.20126344,0.15138803,0.11765807,0.12012718,0.16753995,0.24217851,0.30711913,0.33149087,0.3136886,0.27749673,0.24844398,0.23469846,0.2316886,0.23196082,0.23339732,0.23266004,0.22460286,0.20524126,0.17958836,0.16345929,0.16975355,0.20122974,0.24362029,0.2824831,0.30530238,0.3105096,0.30063316,0.28204212,0.2583126,0.22804433,0.19475774,0.17098446,0.17360683,0.20380528,0.23947184,0.25275725,0.22922014,0.18340349,0.13905929,0.116644554,0.11452737,0.12184501,0.12555839,0.12404671,0.11942773,0.11362806,0.10363876,0.08989347,0.07976084,0.08385595,0.10384184,0.12849776,0.14194132,0.13793546,0.12141659,0.10234829,0.086355835,0.078494124,0.086858265,0.118981935,0.17511852,0.23926587,0.2936188,0.32230496,0.3284972,0.32024094,0.31254414,0.30883363,0.31082347,0.31098995,0.30731013,0.29329205,0.27123842,0.24387479,0.22667985,0.23068154,0.2612176,0.30445006,0.34105825,0.35497856,0.34428766,0.3185581,0.290177,0.2699505,0.25896236,0.25302616,0.24192517,0.22130823,0.1906739,0.15566902,0.1211786,0.09629249,0.093381405,0.123875916,0.18470569,0.25384527,0.3026522,0.31529367,0.2992895,0.27448574,0.2585612,0.25418934,0.2544572,0.24837434,0.2316442,0.20478027,0.17210424,0.13987131,0.11893823,0.12363398,0.16022728,0.22031087,0.2833934,0.33332732,0.36260775,0.36917832,0.3508449,0.31405136,0.2777102,0.26280758,0.2740861,0.29808065,0.3184179,0.3282157,0.32792753,0.31836626,0.3019565,0.2858421,0.27899647,0.2826886,0.2903325,0.29370978,0.29041287,0.28194365,0.27064177,0.25887853,0.25078407,0.24821341,0.25055584,0.250878,0.2442527,0.22395243,0.18981701,0.14507191,0.10230108,0.07747219,0.08369627,0.12398279,0.18400006,0.24159007,0.27502596,0.28153238,0.26977432,0.25324693,0.23445201,0.21125548,0.18114138,0.14737312,0.1153964,0.09206757,0.08617256,0.10515394,0.14844738,0.20070004,0.24042375,0.253697,0.24607371,0.23419972,0.23203386,0.24268682,0.26066443,0.27983013,0.29223925,0.2947594,0.2856816,0.2690594,0.2449765,0.21279709,0.17182577,0.12707172,0.08673206,0.05921347,0.052202266,0.07057373,0.1105513,0.15516071,0.18230593,0.18414234,0.17825724,0.1932934,0.2420382,0.30456808,0.34601906,0.34360695,0.3076464,0.2692602,0.25771737,0.27967444,0.31889176,0.3510661,0.35778713,0.3380777,0.30227578,0.2670449,0.24115478,0.22627772,0.21524261,0.20004265,0.17332534,0.13583215,0.09782425,0.07669443,0.0838198,0.1137454,0.14475454,0.15527228,0.14240213,0.12569825,0.1323757,0.17566733,0.24466264,0.31097814,0.34802583,0.34521833,0.31262836,0.2685041,0.23103207,0.20854987,0.20252489,0.20646459,0.2115633,0.21263444,0.20956196,0.20806731,0.20903178,0.21183391,0.21015118,0.20254982,0.18835889,0.17409956,0.16574873,0.16886131,0.17924313,0.18705381,0.18102503,0.15832394,0.12407369,0.08746362,0.057217885,0.040720973,0.045443952,0.07579055,0.12998956,0.19637518,0.2558442,0.29029068,0.28925034,0.2592728,0.21745908,0.18756564,0.18059643,0.19379978,0.21157755,0.2232247,0.22406663,0.21414708,0.19102919,0.1612302,0.14254372,0.15934747,0.21641564,0.29511002,0.36133018,0.39489666,0.39268515,0.36930048,0.33723557,0.3096989,0.2903944,0.28147873,0.27509615,0.26500973,0.24539725,0.21815164,0.185064,0.14813915,0.110099755,0.08043756,0.07467106,0.10381988,0.16424643,0.23303837,0.28354576,0.29922977,0.28454563,0.2542163,0.22272761,0.19685738,0.17544602,0.15540452,0.13096021,0.10298719,0.07750936,0.07112982,0.100150846,0.16941898,0.26208684,0.34379497,0.3867781,0.38571167,0.3594266,0.32740754,0.29757592,0.26894513,0.24739863,0.24195468,0.25700536,0.2820456,0.30832678,0.327836,0.33782434,0.32844636,0.29763648,0.25195026,0.20952177,0.186298,0.19312005,0.22744334,0.27096638,0.29324284,0.27390233,0.22075097,0.16780466,0.15150283,0.18424219,0.25087744,0.31798968,0.36171007,0.3741137,0.36839107,0.35670987,0.3468624,0.33442247,0.31735364,0.2957845,0.27500606,0.25478002,0.23251022,0.20623343,0.1830762,0.17308395,0.18027417,0.19638598,0.20621146,0.19990905,0.1789581,0.15689145,0.15044355,0.17489783,0.23433256,0.32066917,0.40894076,0.47062984,0.48209414,0.44172475,0.3651906,0.27932242,0.20502138,0.15243451,0.120494284,0.10406739,0.09941118,0.1079743,0.1319245,0.17072217,0.21443363,0.2515471,0.27121174,0.27254927,0.25829303,0.23344527,0.20218527,0.17479841,0.17180252,0.21199225,0.29367295,0.38653302,0.45290184,0.47584233,0.46392885,0.4344677,0.39683342,0.35619533,0.3211518,0.29647598,0.27837944,0.25437993,0.22546203,0.20374037,0.20508349,0.22818047,0.26006982,0.2866126,0.3033013,0.31293643,0.31699765,0.3133494,0.29773888,0.2737599,0.2526732,0.24671535,0.2571555,0.2744802,0.2886874,0.29630703,0.29960346,0.3015087,0.30433765,0.31126013,0.32100472,0.32847527,0.32114598,0.29102305,0.23683316,0.17351633,0.12299764,0.10610106,0.12746131,0.175624,0.23013578,0.2756803,0.30642915,0.32596156,0.33786032,0.34288672,0.33580598,0.31252798,0.27446023,0.22930445,0.18564212,0.1475628,0.11912318,0.10629063,0.11426697,0.13829488,0.16298921,0.17372198,0.16460924,0.14194036,0.116478115,0.104010366,0.11831969,0.1660196,0.2341851,0.29603884,0.32338378,0.3087323,0.26931056,0.23933935,0.24517034,0.28944433,0.35096183,0.4031149,0.4316865,0.4363474,0.42320514,0.3968447,0.36202145,0.3234743,0.28392175,0.2415561,0.19336407,0.14057292,0.09167496,0.05932069,0.056367878,0.08710613,0.1451355,0.21100216,0.2665657,0.3023806,0.3253804,0.3441738,0.36164007,0.3688667,0.3582015,0.32855257,0.28774908,0.2433409,0.20034862,0.16324101,0.1397646,0.13969386,0.16491832,0.20775841,0.2516336,0.28555405,0.3036603,0.3065039,0.29068804,0.25429365,0.19931148,0.13747852,0.084687054,0.054767232,0.053006787,0.07492974,0.10773618,0.13754062,0.15476187,0.15961076,0.15645868,0.15093197,0.14352508,0.13278705,0.11567554,0.092227995,0.06737598,0.051617775,0.058349043,0.09294242,0.14763965,0.19917054,0.22743475,0.22605552,0.208542,0.19004492,0.17674671,0.16310775,0.14428578,0.1223362,0.10356596,0.090388544,0.08164396,0.07885777,0.09351326,0.13741009,0.20917995,0.28494987,0.3348155,0.34258488,0.31712636,0.27800336,0.24131219,0.21094711,0.1872824,0.17091815,0.1659105,0.17228718,0.18471026,0.19191597,0.18674183,0.1706652,0.15472138,0.14761932,0.15014298,0.15440382,0.15419842,0.148041,0.13905568,0.1287184,0.117112644,0.103238516,0.0882273,0.07489223,0.06843563,0.07415357,0.094757445,0.12705497,0.16322964,0.19461131,0.21623611,0.22581498,0.22395773,0.21197931,0.19533141,0.17878665,0.16641359,0.15716042,0.1505314,0.14589481,0.14396055,0.14287408,0.14133193,0.14010362,0.14404982,0.15802197,0.18442528,0.22174506,0.2629821,0.29571018,0.30476192,0.2831293,0.23752147,0.18468755,0.13931389,0.10595407,0.082719095,0.067098156,0.061083436,0.06522254,0.07658952,0.08699734,0.09350971,0.09838582,0.108149976,0.12029437,0.12662666,0.11713523,0.09287732,0.06233953,0.039378814,0.03510034,0.060514685,0.1193924,0.20631659,0.29753032,0.3631905,0.3764287,0.33462504,0.2580402,0.18660612,0.15366657,0.17032216,0.21504782,0.2535708,0.26227105,0.24534534,0.22386397,0.21204926,0.20615375,0.19290443,0.17270769,0.15837695,0.16342294,0.18165278,0.19651835,0.19309855,0.17240787,0.14363013,0.120168805,0.11139258,0.12513898,0.16160496,0.2155606,0.27206585,0.31486714,0.33033013,0.31689385,0.28053132,0.23175067,0.18056709,0.14159478,0.12808804,0.14778818,0.19084023,0.23894076,0.26993704,0.27478257,0.25651333,0.23014905,0.207251,0.19017541,0.17201348,0.14835717,0.122273296,0.10186279,0.0916073,0.08927523,0.08985856,0.090155594,0.09057408,0.0901346,0.08615462,0.07518237,0.061470807,0.05695043,0.07831266,0.129916,0.19872375,0.2580042,0.29017463,0.2979404,0.29642248,0.2981453,0.2998636,0.29702005,0.28894117,0.28710604,0.29850456,0.31607938,0.32193604,0.30184937,0.26234183,0.2188425,0.18403651,0.15577951,0.12910727,0.10607142,0.09860594,0.11586103,0.15225096,0.18623258,0.19700529,0.17933683,0.14627065,0.11339429,0.08848632,0.070607424,0.05985162,0.05833553,0.068012804,0.08527348,0.103589855,0.116939686,0.124949574,0.13371241,0.15263468,0.18483473,0.22415817,0.257309,0.2774895,0.28424954,0.2826657,0.27340454,0.25622442,0.23034622,0.19849324,0.16491218,0.13605575,0.11782362,0.11365869,0.11997513,0.12725823,0.1250549,0.11135218,0.09674665,0.095849454,0.116615854,0.15091924,0.18470341,0.20398694,0.2058978,0.19305907,0.17360222,0.15345763,0.13537665,0.118373424,0.10110206,0.08811116,0.088683546,0.115031086,0.16860883,0.23868334,0.30029848,0.3351699,0.3383789,0.32731983,0.32012472,0.3243678,0.32865247,0.32171103,0.30513027,0.29149103,0.2864815,0.28074604,0.2623093,0.2312758,0.20053174,0.17940176,0.16517429,0.1479011,0.1251257,0.10560271,0.10294657,0.12254808,0.15932982,0.19939254,0.2315524,0.24756198,0.24735564,0.23242696,0.20911199,0.18268657,0.15802166,0.13594756,0.11546122,0.095728815,0.07709771,0.061443448,0.051759347,0.05287817,0.0675065,0.09346417,0.12071759,0.1393327,0.1420555,0.13189651,0.11656833,0.111093014,0.12604153,0.16475856,0.21492465,0.25898358,0.28180665,0.2791762,0.2553811,0.2192993,0.18267126,0.1553832,0.14298464,0.14152311,0.14228882,0.13640495,0.12236977,0.105499916,0.095522195,0.09947792,0.11817241,0.14418347,0.16733344,0.17917372,0.17793097,0.16580878,0.14756465,0.12800606,0.1108043,0.09804233,0.0887981,0.08533128,0.09008814,0.10710659,0.13055634,0.15281738,0.16359818,0.16346596,0.1538568,0.1399526,0.1208896,0.0989731,0.07641045,0.060395647,0.055288658,0.06278243,0.07713473,0.09135284,0.100272596,0.10556748,0.11123111,0.11943404,0.12871374,0.13621621,0.13970368,0.13584025,0.121421695,0.09688395,0.0703025,0.054341342,0.057106256,0.075831555,0.098148234,0.11322516,0.117852785,0.11699307,0.115711115,0.11823637,0.12881951,0.15197092,0.18598075,0.21715611,0.22781713,0.20998919,0.17878896,0.16174817,0.17806225,0.219135,0.2562699,0.265628,0.24741425,0.22199953,0.20787816,0.20793317,0.21209253,0.2119965,0.20755021,0.20402162,0.20231588,0.20012142,0.19392322,0.18720712,0.18380572,0.1859269,0.18697463,0.17905688,0.15915851,0.13591854,0.123843096,0.1322812,0.1580975,0.18921489,0.21418105,0.22875692,0.23396017,0.23324557,0.22743393,0.21706085,0.20149064,0.18394242,0.16801764,0.15594542,0.1450739,0.1324463,0.12070597,0.11632999,0.1239947,0.13925624,0.15404661,0.16116202,0.16016228,0.15212263,0.138786,0.120944925,0.10427082,0.09782169,0.10884416,0.1358345,0.16678886,0.18878399,0.1909254,0.17277305,0.13736917,0.096007474,0.05871785,0.03681657,0.03475849,0.05292825,0.08309543,0.11310469,0.13026609,0.1311606,0.120560564,0.106853515,0.09372818,0.083545364,0.08212077,0.098801784,0.13611965,0.18271233,0.21695523,0.222517,0.19905126,0.16665055,0.15263186,0.17837465,0.24063487,0.316094,0.3698255,0.38239753,0.35376894,0.3077999,0.26829356,0.25134698,0.25194523,0.25760654,0.25578454,0.24379073,0.22627337,0.20900808,0.19790947,0.19393758,0.19826214,0.20550035,0.20987594,0.20096876,0.17563124,0.13580264,0.094866775,0.06801973,0.071489215,0.10931724,0.17048728,0.22673573,0.25146833,0.23721063,0.20393582,0.18167804,0.18631561,0.20915216,0.22874604,0.23206073,0.22094695,0.20379381,0.18512122,0.16567965,0.15001689,0.14415088,0.15213583,0.1693555,0.19018711,0.20731772,0.21608222,0.21044266,0.19145304,0.16669495,0.15085231,0.15186264,0.16619141,0.1773297,0.17070866,0.14392017,0.11171428,0.09647127,0.11469249,0.16335326,0.21830307,0.24862301,0.24158387,0.2138504,0.19864173,0.22064479,0.281103,0.36626676,0.453195,0.52094346,0.54712313,0.5265686,0.47147647,0.41139737,0.3660684,0.33560172,0.3027574,0.25631025,0.20375286,0.17064357,0.17893706,0.23141313,0.30535385,0.37023854,0.40404317,0.40209982,0.37008038,0.3170692,0.25610474,0.20676877,0.188335,0.20924942,0.25515336,0.30262443,0.32838824,0.33205295,0.32515553,0.32624903,0.33863425,0.35277393,0.35485375,0.34147465,0.32395685,0.31279027,0.30953038,0.3026488,0.28525186,0.25839487,0.23376727,0.2188028,0.21672754,0.22232115,0.23380311,0.24975276,0.27123085,0.2906544,0.29965743,0.29373923,0.28046393,0.26770434,0.25685948,0.24219023,0.22217591,0.20116566,0.18387353,0.16715932,0.14522682,0.11700442,0.09500817,0.09807084,0.14421238,0.23080651,0.33394977,0.4098213,0.42643043,0.37595272,0.28428724,0.18485124,0.10522378,0.053589355,0.02935809,0.029232606,0.0552908,0.10733402,0.17839701,0.24884506,0.29980835,0.3177061,0.30445626,0.267627,0.22363223,0.18563582,0.16223872,0.15048975,0.14746042,0.15763293,0.18925403,0.23932894,0.28816947,0.31445,0.31355628,0.2985892,0.28682375,0.28579202,0.2928077,0.29924086,0.29559842,0.27628475,0.2433243,0.20717484,0.17906882,0.1644653,0.15980892,0.15932518,0.15887465,0.16256034,0.17526914,0.20242818,0.23445702,0.25760493,0.2557079,0.23634695,0.21914536,0.22563446,0.25229922,0.27841187,0.28385898,0.266707,0.2393351,0.21303056,0.18897827,0.16262442,0.13192712,0.10478141,0.094929695,0.11449043,0.1614462,0.21545859,0.24818563,0.24207352,0.20522796,0.16156536,0.13306041,0.122084714,0.119226635,0.11304731,0.10223666,0.090626426,0.08490259,0.09047099,0.10945269,0.13720603,0.16025317,0.16772036,0.16061239,0.15582736,0.1673662,0.19494689,0.22052293,0.22892623,0.21653815,0.19712861,0.1884598,0.20405883,0.2423595,0.2878133,0.3229195,0.33882606,0.33950016,0.33034357,0.31611332,0.3007822,0.29078412,0.287917,0.28412035,0.26714826,0.23267847,0.19416769,0.17233229,0.1805491,0.21039104,0.24005258,0.24693237,0.22284047,0.1751144,0.12340207,0.08964127,0.08772612,0.114795186,0.1538889,0.18661644,0.20589536,0.2151549,0.21665472,0.20578788,0.17677481,0.1335821,0.088286154,0.053661983,0.036065575,0.038740586,0.06446772,0.11355361,0.17560495,0.22963552,0.25589994,0.25416413,0.24411379,0.24929069,0.27504423,0.30835882,0.33114317,0.33495232,0.32274628,0.3009136,0.27623126,0.25225276,0.23511435,0.22826128,0.23235746,0.23903741,0.23900793,0.22786905,0.21391462,0.20983241,0.22497337,0.2518913,0.27465844,0.27578637,0.25511876,0.22177275,0.18905865,0.16111808,0.14157987,0.13520677,0.14821157,0.17832182,0.21668951,0.2520382,0.27835116,0.29227546,0.29484725,0.2877734,0.27377144,0.2524995,0.22460277,0.1930949,0.16374393,0.14010146,0.12311966,0.1116961,0.10431009,0.09879603,0.09642569,0.10452515,0.1339172,0.18693511,0.25146982,0.30438015,0.32803226,0.31912544,0.29140183,0.2635323,0.24861838,0.24617882,0.24679811,0.24330173,0.23472266,0.22650433,0.22043742,0.21911103,0.22101271,0.22726542,0.2333176,0.23597723,0.22902292,0.2114089,0.18650997,0.16783291,0.16829456,0.19079363,0.22048266,0.23979877,0.24187897,0.23593283,0.233615,0.23941559,0.25039652,0.26082668,0.26477647,0.25498718,0.22977275,0.19916995,0.18317842,0.19756483,0.23791099,0.2832527,0.3082879,0.3055013,0.2830874,0.26179072,0.25345194,0.2600217,0.2691815,0.2715801,0.26263478,0.24781847,0.22859155,0.204708,0.1732022,0.14088376,0.115601726,0.102517,0.095748246,0.09115077,0.09122776,0.104677774,0.13453351,0.1748792,0.2174011,0.25565863,0.28583586,0.30194286,0.30212402,0.28995895,0.27611545,0.26799288,0.26960388,0.27924454,0.29455593,0.30912477,0.31595767,0.3090608,0.28822276,0.25821808,0.22668399,0.20178448,0.18858148,0.18773633,0.19427615,0.20330112,0.21250187,0.22386359,0.23671444,0.24623482,0.24479197,0.23040408,0.2087859,0.18900836,0.1772325,0.17323934,0.17677712,0.18597388,0.19999881,0.21017446,0.21014476,0.19545186,0.17371047,0.15286748,0.13988034,0.1332706,0.12923524,0.1251869,0.122524105,0.12640895,0.13960029,0.16384818,0.19736616,0.24091916,0.29084027,0.33986256,0.37270936,0.37878332,0.35655853,0.31768537,0.2743557,0.23456179,0.20259814,0.18606402,0.19316284,0.22038841,0.25096077,0.2643106,0.2567296,0.24026306,0.23171844,0.2343198,0.23955883,0.23661286,0.22387815,0.20719014,0.19210637,0.17727165,0.15751536,0.13449012,0.12064,0.1337196,0.17698045,0.23580976,0.28279135,0.30438688,0.30504748,0.3023657,0.30394617,0.303515,0.28958586,0.25936997,0.22146676,0.18734847,0.16455913,0.15484853,0.1554153,0.16137005,0.16695392,0.16873568,0.16510528,0.15518324,0.13855468,0.11852511,0.10472149,0.10812955,0.13045292,0.16042383,0.18078212,0.18467335,0.17699273,0.16871363,0.16187061,0.1516081,0.13131718,0.102267124,0.07247354,0.05211092,0.049723435,0.06698957,0.09977019,0.13355587,0.15416686,0.15147556,0.13443156,0.12411618,0.1455679,0.20420365,0.2816858,0.34512475,0.37125817,0.35727382,0.31755897,0.27056882,0.23151185,0.20759265,0.19941606,0.20231993,0.21556307,0.23903374,0.27100182,0.29793873,0.30756354,0.2948836,0.27079925,0.24651514,0.23053515,0.22165434,0.21850254,0.21566337,0.20985568,0.19612712,0.17410271,0.14750451,0.12785628,0.13154024,0.16872239,0.2351048,0.30610785,0.35450926,0.36424518,0.3455416,0.32186428,0.31136414,0.31168735,0.30561367,0.28183475,0.2424534,0.20116454,0.1675179,0.14816195,0.14816743,0.17369695,0.21957485,0.26540598,0.28814885,0.28624257,0.28285924,0.30255356,0.3431504,0.37825525,0.3800919,0.3443813,0.2885262,0.2409031,0.21873112,0.22373717,0.24365167,0.27237102,0.31067812,0.36034596,0.40973583,0.4404646,0.43991828,0.40806696,0.35700688,0.30265474,0.26308846,0.24846499,0.25981715,0.28739324,0.3174447,0.33923146,0.34809557,0.34917367,0.3471545,0.3446972,0.33353606,0.3061159,0.2584701,0.20238946,0.15864849,0.14678673,0.16947174,0.20966256,0.24446137,0.25827992,0.25136104,0.2319783,0.20965296,0.18738465,0.16292197,0.1326165,0.09807837,0.06636688,0.046534717,0.042839482,0.05270909,0.0693107,0.08535742,0.09779022,0.10513964,0.1095703,0.1138077,0.122596,0.13580978,0.14709674,0.14890264,0.14428253,0.15213938,0.19369094,0.2709028,0.35438278,0.40069458,0.38678184,0.3329517,0.28985193,0.29783976,0.3576782,0.43210104,0.47806892,0.4719505,0.4204693,0.34916326,0.2875619,0.25501838,0.2524595,0.2683274,0.28323975,0.28370643,0.26197335,0.22447018,0.18802404,0.1730868,0.18922476,0.226029,0.2654533,0.29083836,0.29746166,0.28423414,0.25899962,0.23772472,0.24003057,0.27072385,0.31085432,0.33193484,0.31562862,0.26646364,0.19997944,0.13441819,0.081445694,0.0498933,0.043656576,0.06240183,0.1007807,0.14938079,0.19795667,0.23526776,0.25374094,0.25114813,0.23447835,0.21413635,0.19762932,0.1849109,0.17149436,0.15381823,0.13115548,0.10877936,0.09597773,0.10396781,0.1329904,0.17115836,0.20003211,0.21385318,0.22242637,0.24078429,0.27221584,0.3022085,0.31304625,0.29316875,0.24931192,0.19544077,0.15236326,0.13412447,0.14554077,0.17478807,0.19976395,0.201429,0.17425615,0.1294009,0.08503964,0.05919729,0.061946873,0.09226016,0.1378956,0.18232769,0.21480525,0.23539978,0.24917506,0.2590983,0.26327893,0.26024568,0.25135317,0.23696917,0.21700858,0.19170855,0.17075688,0.1624061,0.17067003,0.18364863,0.19152014,0.18718593,0.17925216,0.17326303,0.17434543,0.17450875,0.16946293,0.15767264,0.14932169,0.15177365,0.16607817,0.18305735,0.19253583,0.18911485,0.17310433,0.14934887,0.12202117,0.09575265,0.07346908,0.062030416,0.06843669,0.09847804,0.14458199,0.19078505,0.21773171,0.22233592,0.21370786,0.20613724,0.2012981,0.19136135,0.1681943,0.13296591,0.09435033,0.06068128,0.0360897,0.020764114,0.01418943,0.018022738,0.03588691,0.071876295,0.122264266,0.17473005,0.21034105,0.22102642,0.21323235,0.2056213,0.20539291,0.20484163,0.18740587,0.15490103,0.1290149,0.13845898,0.18898249,0.25801548,0.311421,0.33153534,0.32857573,0.32342014,0.32798448,0.33510628,0.33451977,0.32198763,0.3029118,0.28211632,0.26129815,0.24010254,0.2174593,0.19422382,0.16978861,0.14687233,0.12759162,0.11871182,0.12393852,0.14340161,0.16824108,0.18844937,0.19762619,0.19433253,0.18001394,0.15841545,0.14038248,0.13499324,0.14474486,0.15835358,0.16836928,0.17358871,0.1822741,0.19493492,0.20739989,0.21366273,0.21498884,0.21440218,0.21222204,0.2060063,0.19797838,0.19691972,0.21193576,0.24078019,0.26975548,0.2809049,0.2677171,0.23658,0.20602219,0.19387229,0.21182358,0.25906184,0.32070753,0.37651917,0.40722314,0.4128482,0.40346012,0.39654896,0.3965398,0.40364948,0.4120656,0.41750845,0.40986666,0.38336417,0.34060934,0.2990521,0.27342722,0.2708967,0.28238356,0.29773602,0.30541763,0.30138406,0.28593835,0.26921472,0.26630983,0.28502825,0.31616616,0.33698165,0.3339624,0.3144721,0.29876348,0.29659322,0.29720795,0.28401932,0.25366965,0.22271584,0.20991077,0.21986304,0.23876302,0.24896592,0.24378662,0.23140399,0.2252837,0.23174901,0.24441369,0.25121462,0.24303971,0.22214164,0.19690187,0.17769349,0.16735888,0.16308945,0.15766095,0.14609765,0.12705109,0.10276749,0.078132525,0.059704006,0.055455457,0.07027027,0.101164736,0.13695775,0.16303475,0.17278838,0.16736639,0.15685904,0.14777213,0.14471908,0.14368378,0.14008097,0.12852329,0.11170918,0.10008357,0.1082442,0.14290352,0.19157656,0.22827525,0.230488,0.20179975,0.16830373,0.15953408,0.18391807,0.22716653,0.26753148,0.29103088,0.29571125,0.28378817,0.25983638,0.22913916,0.19988507,0.1771154,0.16354077,0.16198103,0.18047161,0.22446124,0.28743145,0.34790996,0.38546416,0.39230183,0.37870273,0.35564426,0.33075106,0.30000767,0.2618686,0.2140431,0.16261132,0.11364933,0.078756645,0.066843055,0.08551068,0.13020712,0.18697412,0.23226433,0.24992378,0.23567222,0.2017426,0.16297603,0.13010442,0.10416401,0.081764385,0.06047975,0.041910436,0.031767912,0.038038198,0.06891626,0.12998383,0.21665204,0.31102768,0.38500604,0.41523078,0.39804563,0.35010305,0.2993959,0.26551005,0.25698793,0.26767477,0.28684118,0.29841632,0.29130182,0.2615302,0.21680832,0.16830657,0.12719624,0.102460146,0.10321885,0.13307483,0.1837142,0.23407543,0.26264158,0.261437,0.24001318,0.21721499,0.20628472,0.20976965,0.21969225,0.22844245,0.23318516,0.23737241,0.24446154,0.25250307,0.25697836,0.25332722,0.24161635,0.22124822,0.19139393,0.15200734,0.108025454,0.0682489,0.04052187,0.03166188,0.047952425,0.09758279,0.17859153,0.27677724,0.36119878,0.4084294,0.40614882,0.36725178,0.3107335,0.25880805,0.2202316,0.19328938,0.16942872,0.14354463,0.119859554,0.108592756,0.11957637,0.15324318,0.1996513,0.24190654,0.26873854,0.27613246,0.26995194,0.2547854,0.23596019,0.21486324,0.19332922,0.17267233,0.15525623,0.14352535,0.13812214,0.13676418,0.13709773,0.13595515,0.13310389,0.12687187,0.11795416,0.10701248,0.09887519,0.10159048,0.12136992,0.15658458,0.19236809,0.21201748,0.20604436,0.18070352,0.14879887,0.12129306,0.10183219,0.08979309,0.084439255,0.08685863,0.09738121,0.114147685,0.12998211,0.14006144,0.14581053,0.16007392,0.1945505,0.24810475,0.3026117,0.3367649,0.3434746,0.3300972,0.3064628,0.27474242,0.23717391,0.20801598,0.20500128,0.2325741,0.26801965,0.28494442,0.2702269,0.2358303,0.19536841,0.15774247,0.12137184,0.08759292,0.05986266,0.047234964,0.060871404,0.108822964,0.18649705,0.27203935,0.3398702,0.37507,0.38134316,0.36894855,0.34688434,0.31998882,0.29295322,0.2676608,0.24027885,0.20458591,0.15991396,0.11650237,0.09009215,0.09415776,0.12877049,0.18048783,0.22401933,0.24117637,0.22977354,0.2091059,0.19937897,0.20686334,0.21857132,0.21871115,0.20464516,0.1869822,0.1772241,0.17606167,0.1761684,0.17191935,0.16438359,0.15908974,0.15833627,0.16057044,0.16064762,0.15627052,0.14645655,0.13295169,0.116666906,0.103690505,0.105750196,0.13741519,0.19987416,0.27517805,0.33215168,0.35128698,0.33340982,0.29834068,0.26458016,0.24206044,0.22829251,0.2160347,0.19854881,0.17474262,0.14850737,0.12647314,0.113601215,0.11345465,0.12444671,0.14431654,0.1691881,0.20036317,0.2351495,0.26762787,0.28612897,0.2865695,0.27257037,0.25282845,0.23316891,0.21492018,0.19868933,0.1845144,0.175256,0.17239036,0.17585321,0.18055487,0.18241823,0.18009423,0.1763178,0.17092846,0.16236837,0.14786957,0.12863368,0.10687696,0.086861365,0.074108616,0.07620109,0.0984512,0.13951916,0.18739243,0.22595537,0.24077116,0.2316771,0.20706439,0.18214387,0.16326779,0.15168017,0.14161283,0.13157071,0.121620625,0.115534835,0.11481062,0.120715804,0.13056256,0.13982914,0.14261954,0.13908114,0.13544104,0.13841368,0.14706649,0.1534345,0.15189539,0.1445821,0.13850187,0.1371566,0.13665502,0.12993526,0.11199826,0.08519425,0.05809958,0.043478448,0.053509075,0.09175443,0.15008883,0.20650597,0.2402981,0.2403931,0.21485507,0.17984211,0.15052754,0.13199568,0.12289796,0.12275783,0.13849713,0.17772521,0.24096401,0.3124375,0.37276968,0.40441453,0.40300032,0.36920574,0.31455868,0.25412607,0.2071691,0.18052198,0.17136838,0.1683057,0.16815329,0.17296529,0.1867329,0.20423345,0.2177332,0.22264014,0.22414894,0.22598946,0.22846343,0.22325103,0.20774548,0.18292706,0.16250373,0.15853675,0.18173699,0.22514005,0.2730478,0.30334067,0.305239,0.28139198,0.24685144,0.21790528,0.20153941,0.19402756,0.1855979,0.17034988,0.1491627,0.12719473,0.10857761,0.0927548,0.07658438,0.05793279,0.03873715,0.025023632,0.024150543,0.043967366,0.08607531,0.1435055,0.19747257,0.22906645,0.22789483,0.2003408,0.16457295,0.1402458,0.13756894,0.15159702,0.17099164,0.18810008,0.20455067,0.2237649,0.24273641,0.25471517,0.2542812,0.24364986,0.22571737,0.20469753,0.18532825,0.17842035,0.19457108,0.23539169,0.2896253,0.33835912,0.3692968,0.37730148,0.3652841,0.33273375,0.2821592,0.21822868,0.1561137,0.114276044,0.10751333,0.13760419,0.18948627,0.2415884,0.2740917,0.28210178,0.27083758,0.2525271,0.23622048,0.22569786,0.21855587,0.20815253,0.19041657,0.1663884,0.14505862,0.13495333,0.14089389,0.1599747,0.18540482,0.20729268,0.21702202,0.21028094,0.1913153,0.1689772,0.15147494,0.14140272,0.13754658,0.13847029,0.1415294,0.1422253,0.13329725,0.112744235,0.087625384,0.07331809,0.08321211,0.11936667,0.17087613,0.219337,0.25019443,0.25757006,0.24694073,0.22743034,0.2080354,0.19114721,0.17604248,0.1615609,0.1510906,0.14975962,0.15879875,0.17312942,0.18551214,0.193865,0.20021439,0.20506996,0.20318614,0.18803321,0.1596296,0.12675741,0.10432909,0.10271581,0.122088455,0.14865595,0.16607942,0.16545714,0.15263529,0.13921265,0.13227832,0.12868707,0.12157353,0.10839405,0.09335467,0.08125466,0.07241381,0.064375736,0.058444936,0.060738187,0.07493045,0.09675913,0.11493818,0.12139841,0.11368337,0.09675104,0.07717662,0.06502009,0.06957378,0.0962764,0.14018716,0.18668348,0.21949524,0.23099338,0.22601517,0.21481961,0.20175685,0.18383455,0.15556706,0.118913434,0.08044961,0.04893748,0.028864598,0.022552682,0.028801946,0.043593198,0.059298035,0.06811078,0.066003196,0.054683205,0.03955458,0.025803342,0.016068814,0.010500304,0.00803919,0.007481754,0.007836446,0.008448684,0.008930507,0.009205419,0.010666609,0.019870227,0.0499334,0.11528391,0.213691,0.32001486,0.39378545,0.41530874,0.39474893,0.36974823,0.36344776,0.3796579,0.39627695,0.39904785,0.3804344,0.34921256,0.31106564,0.27167812,0.23278172,0.19754301,0.16841882,0.1445032,0.122874595,0.09979149,0.07471598,0.050127435,0.03141864,0.024665585,0.03445576,0.058476925,0.08693042,0.10388511,0.10038122,0.07853319,0.05425996,0.04460032,0.061827037,0.10397682,0.15732813,0.19874597,0.21026675,0.18627386,0.13983536,0.09234355,0.06658657,0.07388263,0.11287373,0.16731156,0.21664403,0.24391305,0.24421877,0.22218508,0.18603463,0.14457972,0.10603518,0.083048254,0.087335706,0.12660076,0.19374748,0.27038833,0.3317684,0.36185953,0.35817245,0.33206668,0.29554585,0.2542848,0.20723416,0.15929094,0.12392732,0.11727116,0.1430151,0.19001679,0.23562874,0.25991264,0.25528118,0.23566379,0.22435087,0.23725443,0.26485124,0.2833085,0.2713507,0.22916116,0.17301436,0.12501799,0.09736914,0.08910916,0.08911672,0.08944974,0.092482515,0.11043242,0.14899977,0.20013003,0.24277289,0.2626435,0.25828037,0.2407244,0.22026974,0.2021075,0.1859202,0.16764653,0.14450353,0.116268635,0.088058494,0.06441408,0.048074022,0.039708685,0.044061597,0.06946416,0.12372012,0.20104825,0.27999187,0.33013105,0.3337383,0.29539666,0.23682947,0.17999078,0.13611238,0.10812107,0.094999425,0.09528089,0.10404071,0.1132995,0.114522345,0.103954226,0.08416147,0.062386688,0.046489026,0.044157166,0.060824167,0.09838232,0.14971207,0.20153666,0.23937733,0.25772622,0.2586107,0.2479765,0.2312993,0.21751197,0.21919622,0.24482858,0.28893766,0.33322623,0.3588039,0.3586674,0.33748436,0.30595934,0.2715613,0.2406257,0.21800067,0.20990966,0.21534716,0.22553055,0.22741078,0.21680045,0.19942482,0.1835127,0.16941585,0.15209232,0.12988791,0.110675074,0.1080038,0.13051434,0.17245744,0.21349078,0.23090374,0.21704324,0.1846336,0.1579839,0.15281592,0.16893207,0.19190346,0.20920481,0.21596779,0.21698283,0.21618827,0.21412031,0.20589463,0.18888211,0.16470198,0.14282171,0.13225143,0.13522854,0.14137642,0.13926755,0.12847444,0.12569617,0.14749247,0.1957484,0.24838686,0.28100443,0.28002095,0.25817522,0.23474546,0.22530617,0.22587033,0.22523122,0.21257995,0.18766482,0.15899396,0.13746388,0.13186139,0.13976528,0.15431601,0.16333775,0.16435228,0.1578645,0.1524663,0.15159243,0.15819617,0.16794534,0.17680512,0.17829221,0.17136781,0.15764259,0.14372158,0.13544983,0.13650046,0.14677109,0.15905751,0.16534959,0.15863247,0.14613976,0.14038871,0.15301937,0.1788453,0.20284529,0.21180092,0.2094488,0.21633714,0.2529445,0.3198678,0.386175,0.41302827,0.37932763,0.3038665,0.22118981,0.16190918,0.13040996,0.11958062,0.11530293,0.11080154,0.10102997,0.08842459,0.07766854,0.079756804,0.10516406,0.16119327,0.2416604,0.32914045,0.39724386,0.42722645,0.41040644,0.35688165,0.2837685,0.21389414,0.16018014,0.12835813,0.11586987,0.12128705,0.14170866,0.17037737,0.19601296,0.206846,0.19756977,0.16936897,0.13288014,0.10251077,0.09194357,0.10425434,0.13228223,0.1630279,0.18473326,0.18981452,0.17659068,0.15086444,0.12527291,0.114278756,0.12486566,0.15149128,0.17739548,0.18761192,0.1778462,0.15840429,0.14347312,0.14308001,0.15621294,0.1765124,0.19572115,0.21095474,0.2188586,0.21802855,0.20480852,0.18490614,0.16658793,0.16076727,0.16626383,0.17736363,0.18455453,0.18520983,0.17880748,0.16773121,0.15423352,0.14130116,0.1314005,0.12430489,0.118851356,0.11337593,0.10811373,0.10249426,0.09547367,0.08526955,0.072432496,0.06148073,0.061680883,0.085139684,0.13680321,0.20895259,0.27789372,0.32225314,0.32893458,0.3020117,0.24991672,0.19012092,0.14264451,0.12622072,0.14350325,0.17873172,0.21148981,0.22965576,0.23496951,0.23305817,0.22755538,0.2206331,0.21505266,0.21465315,0.21775003,0.21853213,0.21169035,0.19865285,0.18727244,0.18268512,0.18590957,0.19039756,0.1932314,0.19037847,0.18430762,0.17460813,0.16685186,0.1630586,0.16546677,0.16841905,0.1676988,0.16066706,0.15003495,0.13583387,0.11827466,0.098787285,0.08690985,0.090929426,0.1134092,0.14438552,0.17267638,0.19123112,0.20072122,0.20201294,0.19176944,0.16824482,0.13702144,0.115283646,0.1171589,0.14423846,0.17937471,0.20140527,0.19893812,0.17877574,0.15869498,0.15064986,0.15264237,0.15073645,0.13878419,0.1264428,0.13453944,0.17646654,0.24320726,0.31059894,0.35109258,0.3568816,0.33669153,0.31014013,0.28893065,0.27529624,0.26477125,0.25405604,0.24245816,0.23282033,0.22647367,0.224232,0.22248308,0.22018194,0.21678765,0.21388178,0.2104394,0.20361222,0.19218755,0.17658417,0.1603901,0.14468735,0.13233809,0.12710494,0.13770393,0.16874252,0.21566522,0.26178694,0.29034284,0.29501006,0.28290454,0.26504594,0.24666095,0.22949912,0.21673088,0.21939291,0.24304529,0.2836086,0.3208594,0.338719,0.32939973,0.30082974,0.25969625,0.21348776,0.1686518,0.13994952,0.13836776,0.16033971,0.18251397,0.18293427,0.1624077,0.1503347,0.17437579,0.23863576,0.31135324,0.3603958,0.3651712,0.33737126,0.293182,0.25309226,0.22124468,0.19941078,0.18531322,0.18494515,0.20264716,0.23389407,0.2605847,0.26338795,0.23679595,0.19014929,0.13980205,0.096678235,0.06858916,0.06043139,0.07963941,0.12686695,0.19691701,0.27039218,0.32691514,0.3442066,0.31701115,0.2517443,0.17301887,0.10481582,0.06928975,0.07571324,0.12570854,0.20250309,0.27838537,0.32054994,0.31949767,0.28763443,0.2527317,0.22932543,0.21901143,0.21174432,0.19973677,0.1766542,0.14224544,0.10142651,0.06363396,0.0362844,0.020915171,0.014330826,0.012988712,0.018557781,0.039058235,0.084851466,0.15534504,0.23277068,0.28887546,0.30838916,0.29881904,0.28033313,0.26429263,0.24752755,0.22609936,0.2030388,0.18654735,0.17638987,0.16839069,0.15947792,0.1545962,0.1568319,0.16339098,0.16674942,0.16490978,0.16253497,0.16479962,0.17089753,0.17639868,0.18048443,0.18494546,0.1891433,0.18600112,0.17030609,0.14414023,0.11702776,0.09607464,0.0831473,0.077086024,0.08078968,0.10207168,0.1464751,0.21098983,0.28064668,0.3395799,0.3758655,0.38727883,0.37593484,0.35127044,0.32646683,0.3130567,0.30905578,0.30100128,0.27598676,0.23562968,0.1922143,0.15619808,0.12763144,0.10182765,0.08150681,0.08060415,0.11908559,0.20303617,0.31545654,0.41599485,0.47072193,0.4680909,0.42559814,0.3636459,0.29656276,0.23077892,0.17860644,0.15504354,0.16418983,0.19253878,0.21397118,0.21295707,0.18807459,0.15223734,0.11717916,0.09564673,0.10054556,0.13998443,0.20827587,0.27936542,0.32880703,0.3438473,0.33791766,0.32579875,0.31878498,0.30969033,0.29289168,0.26682478,0.2445107,0.23573512,0.2420883,0.24992733,0.24758118,0.23029494,0.20634003,0.18522914,0.17624426,0.18280268,0.20435996,0.23281737,0.25417963,0.25334594,0.22372954,0.17241289,0.11790467,0.08129212,0.08049962,0.12360457,0.20565963,0.30262563,0.38056388,0.40957025,0.38475183,0.32668635,0.27006543,0.23918982,0.23993115,0.2593688,0.2825944,0.2962231,0.29825762,0.2898605,0.27954516,0.27333766,0.27602613,0.28418723,0.28967655,0.2859865,0.27263463,0.2543661,0.23063551,0.1994745,0.16261983,0.13457625,0.1274932,0.14087403,0.1563941,0.16001238,0.15159942,0.14487088,0.14973499,0.17011541,0.20842797,0.26780936,0.34471634,0.4219093,0.47749588,0.49459517,0.4714582,0.4176117,0.3518312,0.29055884,0.24280019,0.2086571,0.19057982,0.19565676,0.22762656,0.2747309,0.31541714,0.3370227,0.3452691,0.3543649,0.36699608,0.37183425,0.35566005,0.31846488,0.2740573,0.23763765,0.21670486,0.20709871,0.20300245,0.20001508,0.19723506,0.19068874,0.1756665,0.15242141,0.1295845,0.11876119,0.12710752,0.15347068,0.19304384,0.23462528,0.26694885,0.27752605,0.26530346,0.2373793,0.20713657,0.18482798,0.17435016,0.17507303,0.18133853,0.1853996,0.17918734,0.16005306,0.135546,0.11788043,0.11642834,0.12832566,0.14377743,0.15442687,0.15899442,0.16001584,0.15710692,0.14735411,0.12883647,0.104806535,0.08298267,0.07199904,0.08016553,0.11042645,0.16126704,0.22239111,0.28060502,0.3198628,0.3317857,0.32046777,0.30348682,0.29936314,0.31281105,0.33616352,0.35626447,0.36719188,0.36482224,0.35059628,0.32657537,0.2994024,0.2703366,0.23701422,0.19809127,0.16358936,0.15213351,0.17671025,0.23296706,0.29870948,0.34863672,0.36819544,0.36090586,0.34314522,0.32857326,0.3203191,0.30846623,0.2877831,0.25989392,0.23535244,0.2184458,0.2079973,0.19796841,0.18361272,0.16232765,0.13349323,0.101542026,0.07506854,0.06696723,0.08684409,0.13762935,0.20800893,0.27958044,0.3294991,0.3494567,0.34136975,0.32619753,0.32114664,0.3376367,0.36256424,0.37582016,0.36226234,0.32779238,0.29026878,0.26501742,0.25623885,0.25597823,0.24975969,0.22577113,0.1864043,0.15181261,0.14358439,0.16756855,0.20579426,0.2348103,0.24023707,0.2252285,0.19941597,0.17213137,0.14908622,0.1338014,0.1278496,0.12996824,0.1391806,0.15691549,0.1823783,0.20965444,0.22533263,0.22295223,0.20446365,0.18275787,0.1653014,0.1541029,0.1432553,0.12979801,0.11576875,0.11085994,0.12696654,0.16699634,0.2226358,0.2734294,0.3072696,0.31859422,0.3180878,0.3132557,0.3155271,0.32467496,0.3393974,0.34896693,0.34866574,0.335075,0.31301308,0.28533456,0.25850573,0.23585992,0.22097524,0.21005411,0.19900243,0.18499811,0.17266609,0.16863827,0.17484783,0.18467736,0.18793643,0.18415564,0.18547712,0.20543258,0.24310438,0.28083608,0.30076158,0.2957152,0.2720397,0.23965387,0.20963518,0.19140553,0.19133933,0.20898955,0.23550868,0.2600709,0.27335683,0.27407888,0.26312187,0.24497394,0.22135699,0.19391567,0.16215172,0.13175319,0.11894681,0.14771545,0.22889777,0.3435558,0.44657812,0.49890423,0.4929347,0.45209172,0.40331444,0.3583349,0.314803,0.27243716,0.23604739,0.21204071,0.19715787,0.18385611,0.16330181,0.13476394,0.10340387,0.080090575,0.07535551,0.094979994,0.13494071,0.1835504,0.22550483,0.25085926,0.2535315,0.23540916,0.2014329,0.16695844,0.14645298,0.14796649,0.15953188,0.16166079,0.14085391,0.10378236,0.07010243,0.06144241,0.08916124,0.14967619,0.22225063,0.27945325,0.30359545,0.30071798,0.29018816,0.28518853,0.27875876,0.25650015,0.21156335,0.15379244,0.10028758,0.069049895,0.07265512,0.114100635,0.18160455,0.24968785,0.29443166,0.30579543,0.2917649,0.2674793,0.2443993,0.22757168,0.21344,0.1980804,0.17618077,0.15148449,0.13052548,0.12434244,0.13690965,0.16433765,0.19283092,0.20789035,0.20220764,0.17922348,0.14737074,0.11391282,0.08194302,0.053921077,0.032005027,0.019818638,0.020548739,0.039665766,0.079613775,0.13880962,0.20401376,0.26061597,0.29274365,0.29767767,0.27685383,0.2440281,0.21232426,0.19671726,0.19839293,0.20912695,0.21449153,0.20910855,0.19632314,0.18446136,0.17601658,0.16945839,0.15841232,0.14033821,0.11633868,0.097732805,0.09696882,0.1207549,0.1597932,0.19630887,0.21688975,0.2211029,0.2170074,0.20872651,0.19420373,0.16985941,0.13962714,0.11445725,0.10705135,0.123154104,0.15811624,0.19887157,0.23265342,0.25466618,0.26771298,0.2757562,0.27503416,0.25942466,0.22854461,0.19539024,0.17381902,0.16642445,0.16130032,0.14829211,0.12919226,0.11441934,0.108918495,0.10806811,0.10538557,0.100157194,0.096181214,0.0945595,0.09204972,0.0868898,0.08423892,0.09408793,0.1209836,0.15657113,0.18290086,0.18587743,0.1655321,0.13493651,0.10716998,0.087764256,0.07473514,0.06931511,0.07752377,0.1043885,0.14214884,0.1723233,0.17977096,0.16768326,0.15353821,0.15247315,0.16333234,0.17363985,0.17255639,0.15942203,0.14155409,0.1273674,0.12300887,0.12911077,0.14067256,0.14719233,0.13955872,0.1160504,0.08491111,0.060353603,0.05707879,0.084392704,0.14005516,0.20695688,0.26016316,0.28101358,0.26886934,0.23717588,0.20244895,0.17382278,0.15376413,0.14049686,0.13104777,0.12052629,0.104851276,0.082757965,0.058011208,0.036504637,0.024838941,0.029122787,0.055493858,0.10568819,0.1719374,0.2369997,0.28368056,0.30545065,0.30923662,0.3067439,0.30619648,0.30588523,0.29920262,0.28044984,0.25364554,0.23182313,0.22493564,0.23173489,0.23549934,0.22325452,0.19364412,0.16446492,0.15585245,0.1753266,0.20998593,0.23473777,0.2368592,0.22064207,0.20476705,0.19723707,0.19490099,0.18602096,0.16730547,0.14306155,0.12163808,0.10860747,0.108654946,0.1287666,0.1723926,0.23293026,0.2881442,0.31637236,0.30720225,0.2722982,0.23144662,0.20479937,0.19972472,0.21413682,0.23553605,0.25272158,0.25643706,0.24604951,0.22155088,0.18904014,0.15622574,0.13439211,0.1258358,0.1253417,0.12446776,0.12703234,0.14282082,0.1788586,0.22197418,0.2528377,0.2551984,0.23458356,0.2044577,0.18212616,0.17313313,0.17684585,0.18384469,0.18482302,0.17315604,0.15003505,0.12235055,0.09735852,0.07992134,0.0703441,0.0680012,0.07069994,0.07722244,0.086157,0.09698104,0.10943755,0.122889936,0.13613169,0.14571667,0.1475781,0.13774192,0.117420435,0.09364698,0.0801769,0.088396765,0.121201955,0.16606633,0.20468235,0.22197151,0.21759224,0.20059001,0.18285882,0.16848771,0.15413631,0.1335849,0.10641568,0.08067955,0.06671967,0.0684331,0.07848483,0.08497705,0.08003178,0.066240616,0.053943474,0.054639403,0.07442088,0.110733174,0.15608616,0.20086743,0.23971987,0.2690233,0.2890338,0.29744247,0.2931169,0.27433744,0.24602519,0.21475823,0.18777056,0.16635169,0.15139169,0.14325131,0.14291222,0.14652245,0.14823475,0.14574106,0.14605649,0.16139,0.1987309,0.24946499,0.29304746,0.3092964,0.29378128,0.25574258,0.21161783,0.17468339,0.15907504,0.17273758,0.21397205,0.2607517,0.28630638,0.27257308,0.22596557,0.16877699,0.12690218,0.11425587,0.12920214,0.15785535,0.18561776,0.20089974,0.19975428,0.17996864,0.14845364,0.11762374,0.106949985,0.12582646,0.16822813,0.21304727,0.24267788,0.25252715,0.2500786,0.24186619,0.231682,0.2187003,0.20374031,0.18311904,0.15707724,0.12647738,0.09777248,0.0735126,0.057081077,0.05371392,0.07321971,0.121625565,0.19195718,0.2643956,0.31500673,0.33190858,0.31811628,0.2887393,0.2566439,0.23107302,0.21432911,0.20674805,0.20307921,0.19934106,0.19852173,0.2129352,0.2503961,0.29995048,0.33596882,0.3393385,0.31326863,0.2764327,0.24395286,0.21957505,0.19947757,0.18263894,0.1679682,0.15491065,0.13959892,0.12283006,0.10741923,0.098860614,0.09783277,0.10197359,0.105196275,0.10466958,0.101919204,0.10571026,0.12301764,0.15396379,0.18804567,0.21407096,0.22654803,0.227726,0.22071397,0.20708703,0.18779583,0.16675444,0.14938171,0.14060059,0.14202513,0.15120144,0.16135935,0.16330056,0.15098678,0.1258994,0.098734885,0.08489255,0.09583098,0.13272518,0.18227112,0.22612126,0.24862306,0.24749054,0.22868775,0.20097189,0.16968472,0.13891943,0.11626934,0.10848091,0.117474735,0.13330497,0.14483084,0.14483474,0.13722521,0.12812631,0.1227678,0.12274455,0.12941368,0.14420648,0.16487162,0.18406145,0.19125815,0.18127404,0.15797482,0.13168739,0.111507095,0.10005692,0.094966255,0.09054733,0.08296027,0.07277953,0.069098204,0.08512428,0.12539054,0.18267207,0.24044903,0.29572132,0.34925964,0.40043378,0.42806187,0.41648188,0.36946645,0.3143582,0.27415743,0.25097618,0.23298532,0.20992102,0.18314765,0.15752512,0.13701876,0.12011547,0.104593955,0.08942255,0.07868371,0.08016998,0.09998664,0.13726346,0.18131538,0.21961163,0.24280089,0.2513485,0.2496744,0.24364205,0.2351473,0.2248711,0.21269043,0.1979788,0.17796135,0.14949839,0.11324174,0.07544972,0.044447158,0.027762821,0.030848995,0.059286952,0.108926386,0.16326378,0.1932763,0.18490402,0.14902017,0.12235377,0.13316573,0.18297035,0.24191193,0.27648994,0.27207422,0.2410196,0.20549822,0.17997237,0.16366567,0.14943115,0.13143249,0.109368205,0.085513294,0.06472383,0.053594247,0.059770096,0.08602359,0.12817039,0.17525996,0.21707505,0.24460934,0.25184104,0.23375367,0.1927629,0.13892579,0.08840519,0.054623242,0.04628394,0.06440716,0.10496505,0.15552433,0.20246758,0.23248105,0.24174702,0.23209643,0.21401376,0.19925119,0.19592327,0.20050393,0.20290895,0.19805111,0.19179665,0.191262,0.19419247,0.19027017,0.17640501,0.16221493,0.15950352,0.16724889,0.16915075,0.15207866,0.11811469,0.087880574,0.08264186,0.11108318,0.1622045,0.21242578,0.2422133,0.24494344,0.22905456,0.20330976,0.17224152,0.13556191,0.09681482,0.06273955,0.039184384,0.029052362,0.03532438,0.064728916,0.11992998,0.19103582,0.25238466,0.27810803,0.25823018,0.2046402,0.14101575,0.09023156,0.06837021,0.08430156,0.13416281,0.2029575,0.2636822,0.29758832,0.2953547,0.26689675,0.22462362,0.1830642,0.14679821,0.11669918,0.09113681,0.07477793,0.07654083,0.10411024,0.15555425,0.21593435,0.26544783,0.28669608,0.27860537,0.2508551,0.22388035,0.2094584,0.2094398,0.20875233,0.19416152,0.16396981,0.13700564,0.13349363,0.16067927,0.20292526,0.24167746,0.26562133,0.27936652,0.28525653,0.2831837,0.26785874,0.24351026,0.21755616,0.19868065,0.18689644,0.17876321,0.16891433,0.15598293,0.14243864,0.13391699,0.1332242,0.13749973,0.13999234,0.13645586,0.12632547,0.11194029,0.097533025,0.09123477,0.10036418,0.12414632,0.15082824,0.16646636,0.16502695,0.14953619,0.12803707,0.1105198,0.11077287,0.13753147,0.18320335,0.21993138,0.22050476,0.18269353,0.13402678,0.10863925,0.120162964,0.15438257,0.1857816,0.19546448,0.18158941,0.15056497,0.113323055,0.07678952,0.04784596,0.028917238,0.02188555,0.027323097,0.0475326,0.08238654,0.12644696,0.16740096,0.19331412,0.19682829,0.18002011,0.1483756,0.11113042,0.07664763,0.055625875,0.05607989,0.08152047,0.12518094,0.17324905,0.2088713,0.22279988,0.21466391,0.19476718,0.17340457,0.15706478,0.14266783,0.12502395,0.10326606,0.08606825,0.08598969,0.10991639,0.15123425,0.19404669,0.2216553,0.22862016,0.21838729,0.20058481,0.18107426,0.16464095,0.15262519,0.14564972,0.13889812,0.12641223,0.10498903,0.08148537,0.06970784,0.08269859,0.12162322,0.17375426,0.21956873,0.24409997,0.24367236,0.22349103,0.19410098,0.16696787,0.15318209,0.16019845,0.18810587,0.2290246,0.2677221,0.29277825,0.3027567,0.30669737,0.3098575,0.30556956,0.2836147,0.24376535,0.20025843,0.1686856,0.15543054,0.15499176,0.15531938,0.1448027,0.11984831,0.088827826,0.06953994,0.07676313,0.11382556,0.16844316,0.22268581,0.26242596,0.2854046,0.2966306,0.300759,0.29647398,0.27903882,0.2453882,0.19793431,0.14507969,0.100286685,0.078565754,0.089095436,0.12840158,0.17824769,0.21666156,0.23186596,0.23101546,0.23046927,0.23851383,0.24604614,0.23587549,0.2006763,0.15216273,0.113425024,0.10465279,0.12951756,0.17544262,0.21954302,0.24449374,0.24538593,0.22936274,0.20609207,0.17983389,0.15154988,0.120292366,0.09143704,0.07214027,0.07196476,0.090025105,0.1196118,0.15024805,0.18220197,0.21751021,0.25336897,0.27744743,0.28236082,0.2755516,0.2702147,0.27470767,0.28334966,0.28954414,0.28668293,0.27562103,0.2566373,0.23243946,0.20282595,0.1698559,0.13952419,0.122757636,0.12657005,0.14671062,0.1686213,0.17988639,0.17626673,0.16372047,0.14755656,0.13195266,0.11682165,0.10528016,0.103303604,0.11933792,0.15775792,0.21344252,0.2709135,0.3096372,0.3143709,0.28636265,0.24278861,0.20730734,0.19106098,0.18911935,0.1878032,0.1805023,0.17304511,0.17588234,0.19748022,0.23279814,0.2709225,0.2925268,0.29132557,0.2692335,0.2435617,0.22303063,0.21068062,0.19969451,0.19014508,0.18576854,0.19098465,0.20110571,0.20520206,0.19452576,0.17106856,0.14600624,0.13017489,0.12627289,0.1302204,0.13786666,0.1470773,0.1561168,0.16007978,0.15738183,0.15129542,0.15181798,0.16325004,0.18117215,0.19245012,0.18856351,0.17146449,0.15281992,0.14414334,0.1501088,0.16678219,0.18482931,0.19459285,0.18992816,0.17191248,0.14566496,0.119568475,0.09885117,0.08830146,0.08805713,0.09697988,0.10816201,0.11522355,0.11473623,0.11304634,0.11890572,0.13801521,0.16556394,0.19450398,0.21770324,0.23333085,0.2390259,0.23493081,0.22276197,0.20724617,0.19345902,0.18413319,0.1803077,0.17946166,0.17862839,0.17439447,0.16648132,0.1554433,0.14159052,0.12647684,0.11603335,0.12256559,0.15293975,0.20508659,0.26285878,0.31289425,0.3409356,0.3418422,0.31108335,0.26177135,0.21388793,0.19117892,0.19631644,0.21610314,0.22752549,0.22122335,0.20281918,0.18834312,0.18594211,0.19221117,0.1971184,0.19531935,0.18822439,0.1792543,0.1714559,0.16779144,0.17299557,0.18699731,0.20346385,0.21054554,0.20195605,0.17823416,0.14646985,0.11241943,0.08223223,0.06216536,0.061358213,0.08409631,0.12777124,0.17877007,0.22252505,0.2457124,0.244614,0.22120996,0.18625145,0.15113549,0.12452913,0.10551528,0.0892837,0.07282629,0.060207892,0.058809355,0.07341503,0.10329944,0.14289121,0.18554026,0.22427793,0.25254193,0.26514772,0.26107275,0.24448198,0.2225896,0.20176236,0.18593419,0.1756168,0.16983753,0.16810906,0.1736512,0.18877357,0.20843779,0.21755882,0.20464224,0.17421746,0.14630471,0.13686557,0.14455216,0.15606944,0.1630155,0.16817762,0.17637551,0.1848471,0.18584482,0.17622119,0.16053481,0.1458506,0.13630517,0.13277714,0.1342657,0.13746865,0.13862436,0.13524944,0.12978342,0.12513365,0.12431269,0.1246064,0.12296828,0.11457366,0.10339045,0.09720705,0.10809209,0.13659514,0.17380695,0.200622,0.20378083,0.17937075,0.13805394,0.09669128,0.07403572,0.08200935,0.123338915,0.18773918,0.25795057,0.31621447,0.35426322,0.37122393,0.37006167,0.35175565,0.3187395,0.2768683,0.23501618,0.19874889,0.16731298,0.13580221,0.10193551,0.07231386,0.061476424,0.08750255,0.15554148,0.25425464,0.3511671,0.41858542,0.43900254,0.4205552,0.37535158,0.32060003,0.26201352,0.2063117,0.15639406,0.12438884,0.12199575,0.15944804,0.2300067,0.31414905,0.38271523,0.41532242,0.4082347,0.37721288,0.34287068,0.3167659,0.29740143,0.27941737,0.2609927,0.24214931,0.21957566,0.19207592,0.16506897,0.15134425,0.15582715,0.17322256,0.18943548,0.19775583,0.19802123,0.19749911,0.19904537,0.20305009,0.2018794,0.18931605,0.16185468,0.12976168,0.108451046,0.1117008,0.13624744,0.16872309,0.19505507,0.21630852,0.24020515,0.27123633,0.2965913,0.30021584,0.27489567,0.23551054,0.20262028,0.18871754,0.1867523,0.18344694,0.17174786,0.15803914,0.15196396,0.15495281,0.15649684,0.14370191,0.11353458,0.07711526,0.052933034,0.05753101,0.09618924,0.16051392,0.22810607,0.27614972,0.29315248,0.286077,0.26892987,0.25069684,0.23165987,0.20989548,0.18698676,0.16682409,0.15116297,0.1392827,0.12844849,0.117727995,0.10705807,0.099531956,0.10078677,0.11717541,0.151453,0.19689123,0.24221767,0.2745696,0.2893393,0.28566372,0.26895997,0.24366303,0.21600519,0.18773757,0.15987013,0.13140906,0.10540796,0.085804045,0.07514625,0.06982828,0.06388941,0.056208044,0.055200536,0.07297716,0.11437064,0.16813444,0.21446949,0.23456687,0.22507674,0.19467086,0.16542546,0.15883075,0.18893462,0.24368012,0.29308534,0.30500725,0.27623793,0.22830375,0.19086786,0.17306733,0.16718525,0.16033588,0.1494816,0.13853133,0.13201529,0.13142277,0.13636728,0.14727725,0.16518156,0.18885614,0.21202974,0.22356914,0.21611993,0.1928351,0.16901554,0.1591035,0.16781785,0.18556933,0.20099364,0.20661528,0.20616399,0.20638143,0.2134115,0.2242816,0.229957,0.22193559,0.1993108,0.16907181,0.13977583,0.11797017,0.10598587,0.10144267,0.098428845,0.090600096,0.07677763,0.05982167,0.045397148,0.03804949,0.043937936,0.067790575,0.11113333,0.1653934,0.21557665,0.24635284,0.25326416,0.2451985,0.23658617,0.2356431,0.23622155,0.22706573,0.20186627,0.16645272,0.1307267,0.102169104,0.08349011,0.07577237]