[0.115340695,0.12746999,0.15073763,0.17173405,0.18041407,0.17474823,0.16029723,0.14314294,0.12646642,0.11088905,0.09796696,0.09086042,0.09324044,0.106238805,0.1277358,0.1516714,0.17184238,0.18398412,0.18802397,0.18476021,0.174277,0.15634121,0.13450617,0.11710909,0.112611614,0.12275668,0.14047469,0.15550779,0.16241385,0.16318893,0.16311549,0.16375016,0.16098279,0.14966269,0.13091856,0.114836134,0.113280356,0.13063829,0.15868063,0.18383937,0.19617073,0.19565432,0.18859847,0.18199348,0.17896815,0.17899425,0.18068093,0.18315418,0.18623579,0.18868901,0.18939966,0.18838002,0.18771483,0.18891017,0.1910911,0.19046164,0.18358813,0.1690886,0.14951043,0.1284797,0.10967908,0.093434244,0.07853437,0.063057564,0.047444683,0.03346101,0.023198143,0.018130608,0.020093843,0.03191918,0.054631054,0.084770955,0.11341723,0.1322432,0.13841355,0.13708983,0.13553251,0.1381285,0.14331603,0.14739221,0.14821906,0.14716311,0.14670421,0.14764301,0.1488738,0.14906114,0.14867717,0.14897956,0.15058796,0.15184706,0.14970486,0.14079234,0.12331996,0.098095395,0.06912983,0.04214911,0.021960363,0.010088594,0.004837766,0.00322659,0.0029455938,0.0029983146,0.0032827754,0.0040501193,0.005626302,0.008402723,0.013089272,0.021140037,0.03466708,0.05499354,0.07992309,0.10349351,0.11919021,0.12690805,0.13278042,0.14438204,0.16026212,0.17191042,0.17023952,0.15719308,0.14301524,0.13912697,0.14716125,0.1609052,0.17160958,0.17710473,0.18063708,0.18742688,0.1979918,0.20805083,0.21210746,0.20831102,0.20022722,0.19321133,0.19037868,0.19086964,0.19270961,0.19672196,0.20579557,0.22160037,0.24008204,0.2544725,0.25908312,0.25372443,0.24146347,0.2268015,0.21318279,0.20287025,0.19597922,0.19137998,0.18736303,0.18341881,0.1790204,0.17445518,0.16991562,0.16708253,0.16715424,0.17041682,0.17521767,0.1793439,0.18136686,0.18094128,0.17862205,0.17503537,0.17173268,0.17162657,0.17795378,0.19147326,0.20794713,0.22071564,0.22484428,0.22148739,0.21533953,0.2109583,0.20856588,0.2060519,0.20191945,0.19853061,0.19979058,0.20771806,0.21912329,0.22804092,0.22900826,0.2208517,0.20604374,0.190193,0.17898394,0.17642449,0.18171625,0.19030143,0.19580828,0.19454677,0.18657315,0.17567964,0.1660533,0.16018446,0.15743478,0.15567225,0.15318435,0.14991385,0.1472082,0.14640816,0.1482449,0.15197776,0.15648401,0.1604018,0.1630851,0.16369516,0.16173077,0.15705036,0.15086226,0.14470349,0.14007004,0.13752173,0.13792641,0.14208233,0.15100676,0.16430105,0.18074882,0.19787367,0.21312828,0.22356884,0.22753914,0.22527134,0.21989407,0.21528022,0.21405612,0.2159241,0.21892619,0.22143984,0.22301616,0.22402646,0.22445339,0.22426812,0.22349904,0.22184967,0.21791856,0.20901547,0.19317837,0.16991375,0.14092034,0.1089198,0.077729374,0.05134445,0.032663222,0.022100717,0.017669864,0.016622601,0.017013729,0.019065449,0.025383629,0.0403083,0.06591274,0.09917954,0.13105568,0.15287848,0.16109705,0.15990746,0.15576792,0.15319894,0.15216969,0.15108591,0.14951126,0.14931665,0.15250479,0.1585087,0.16434549,0.16688223,0.16644822,0.16589981,0.1683272,0.17262574,0.17392623,0.16571651,0.14487366,0.113605656,0.07896527,0.048673812,0.027541662,0.01595151,0.011770748,0.013036174,0.019587876,0.032381088,0.051819537,0.076191574,0.10133567,0.12127354,0.13081284,0.12943521,0.12391608,0.124839425,0.1379779,0.15792155,0.1722346,0.17245732,0.16203223,0.15208183,0.15150529,0.15954642,0.16864379,0.17182927,0.16922115,0.16717999,0.17297755,0.18858503,0.20970853,0.22901575,0.24168535,0.24702303,0.2469954,0.24292062,0.23507963,0.22418141,0.21219616,0.20141761,0.19218206,0.18354176,0.17492841,0.16873161,0.1689883,0.17811728,0.19411929,0.21132438,0.22452712,0.23176934,0.23423992,0.23401962,0.23202513,0.22856043,0.22254516,0.21246219,0.19628406,0.17481066,0.15233183,0.13562559,0.12991138,0.13686295,0.15366931,0.17509007,0.19490129,0.21009924,0.22059499,0.228949,0.23561887,0.23923104,0.23720662,0.2300393,0.22177313,0.21792315,0.22014187,0.22515689,0.22792439,0.22767855,0.22688939,0.22836894,0.23076807,0.23196246,0.23054451,0.22803693,0.22598548,0.22545415,0.22585988,0.22593337,0.22415154,0.21940674,0.21127331,0.19983505,0.18626975,0.17254712,0.1611368,0.15345539,0.14944641,0.1474941,0.14563996,0.14271893,0.1398455,0.13926272,0.14248155,0.14744784,0.15097946,0.1514829,0.15142491,0.15388797,0.15964174,0.1664201,0.1714431,0.17342584,0.17234115,0.1688541,0.16378953,0.1582198,0.15296142,0.14822657,0.14395487,0.14040957,0.13844392,0.13873792,0.14160562,0.14724077,0.15624316,0.16829775,0.18102913,0.19020836,0.19299233,0.19006912,0.18548597,0.18267006,0.18223272,0.18152796,0.17893434,0.17519344,0.17390533,0.17625605,0.18038315,0.18161304,0.17854416,0.17344902,0.17092209,0.17170562,0.17181717,0.16431974,0.14502893,0.11508823,0.080755986,0.049630344,0.02692277,0.013666485,0.0076264213,0.0056829047,0.005954355,0.009102035,0.018640226,0.03901877,0.07195774,0.11292863,0.15222205,0.17996953,0.19222073,0.19227868,0.18769817,0.18423092,0.18329452,0.18249904,0.18093728,0.18035758,0.18478073,0.19456963,0.20636104,0.21359944,0.21283184,0.20470493,0.19430439,0.18616986,0.18157029,0.17724566,0.1684034,0.15265779,0.13219541,0.112767994,0.09981675,0.09530029,0.09645206,0.09747807,0.094038345,0.0869815,0.08364581,0.09010661,0.10535574,0.11873165,0.1211917,0.1120616,0.101553746,0.101044916,0.115984835,0.14248966,0.170644,0.19109549,0.19931138,0.19768554,0.19261222,0.19204919,0.2015238,0.22109683,0.24380322,0.259369,0.26070428,0.24907328,0.23267262,0.22170134,0.22235732,0.2344675,0.25204504,0.26667893,0.27231452,0.26818767,0.25906116,0.25115284,0.24807586,0.24870181,0.2488792,0.24531156,0.23805143,0.23037575,0.22532494,0.2236151,0.22400217,0.22625643,0.23146445,0.2401553,0.24958514,0.2554314,0.2544757,0.24696213,0.23511368,0.22176339,0.2094691,0.20052738,0.19637895,0.1966756,0.19983383,0.20404594,0.20852818,0.21273667,0.21610326,0.21746205,0.2160865,0.21118087,0.20226236,0.1889513,0.17219979,0.1539918,0.13662133,0.122134656,0.11349202,0.11527828,0.13135962,0.15992671,0.1921978,0.21659087,0.22725524,0.22616369,0.22035702,0.21485972,0.21155448,0.2100212,0.21026452,0.21228476,0.2156815,0.21927643,0.22182639,0.22247128,0.22133552,0.2194211,0.21814166,0.21799296,0.21809827,0.21696429,0.21398628,0.21016693,0.20722552,0.2064216,0.20784916,0.21082456,0.21380566,0.21407074,0.20718123,0.18906514,0.15847124,0.119637646,0.07992879,0.046847846,0.02378928,0.010490342,0.0040002526,0.0014100512,0.00050031027,0.00050045806,0.004153239,0.020457016,0.06525564,0.14918448,0.26377738,0.37393773,0.44017026,0.44405308,0.40422264,0.3553375,0.32490578,0.31739652,0.32449532,0.3349289,0.34192178,0.34087908,0.32877734,0.30619422,0.28109717,0.27095607,0.29175532,0.34516335,0.40728924,0.44661382,0.44418684,0.41271237,0.37670198,0.3550996,0.34318015,0.32985452,0.3062888,0.2764912,0.24568422,0.2168711,0.18987869,0.16999637,0.17241824,0.21266745,0.29033208,0.3791988,0.441852,0.45566204,0.42687917,0.38089356,0.33977115,0.31146285,0.29344356,0.28323248,0.28185508,0.29055426,0.30662546,0.32347718,0.334883,0.33815917,0.3345444,0.3267806,0.31822774,0.31181335,0.30928347,0.30886772,0.3052409,0.293254,0.27209017,0.2483235,0.22976916,0.22114182,0.21936001,0.22027849,0.22165854,0.22682762,0.2403542,0.2652339,0.2974492,0.32530105,0.3338962,0.31525782,0.2739869,0.22432284,0.18076588,0.15104537,0.13469145,0.12693596,0.12415624,0.12691694,0.1369939,0.15245822,0.16608225,0.17213751,0.17123288,0.16920759,0.16906328,0.16850857,0.16419351,0.15778175,0.15585543,0.16415091,0.18207508,0.20248286,0.21661115,0.2204477,0.2166508,0.21177058,0.21066527,0.21403813,0.21879154,0.2217965,0.22204787,0.22132958,0.22143763,0.22261353,0.2239138,0.224436,0.22344321,0.219141,0.21213682,0.207934,0.21830253,0.24951494,0.2957227,0.33568084,0.35008797,0.33155006,0.29049096,0.24336857,0.20396252,0.17740266,0.16127546,0.15107109,0.14531322,0.14715637,0.1598316,0.18002397,0.19967556,0.2097106,0.20820172,0.19800158,0.18605071,0.17696607,0.17367129,0.1758458,0.18311413,0.19425549,0.20894192,0.22814174,0.25732067,0.30268082,0.3618363,0.41688597,0.44365993,0.43518677,0.41171953,0.4060018,0.43037865,0.4667833,0.48263922,0.46253076,0.41571486,0.366213,0.33011743,0.31194255,0.3066161,0.31248993,0.3291112,0.35446572,0.37578735,0.3789877,0.36229125,0.34748116,0.36277816,0.41547275,0.47720888,0.50638545,0.48243245,0.4210308,0.3557702,0.31131592,0.29251227,0.29101336,0.29638627,0.30096176,0.30094647,0.2952036,0.2857139,0.27889857,0.2874899,0.3231969,0.38455713,0.44824132,0.48253587,0.46982846,0.42086688,0.36322275,0.3203847,0.29904228,0.292964,0.29304102,0.2936981,0.2927455,0.28823748,0.2791102,0.26934144,0.27309632,0.30551496,0.36835983,0.43858394,0.48451015,0.48869088,0.46233594,0.4284563,0.40162072,0.37808493,0.3501269,0.3164771,0.28451625,0.2589415,0.23797055,0.21770729,0.20182246,0.20548397,0.24338989,0.314705,0.39261338,0.4421909,0.44322357,0.40767336,0.36415115,0.33718517,0.3302703,0.3336582,0.33524308,0.33128273,0.32443085,0.3195593,0.31805393,0.31747195,0.3139032,0.30559227,0.29417813,0.2838472,0.2790862,0.28155872,0.2877727,0.2882063,0.27319255,0.23861094,0.19165517,0.1453371,0.11288837,0.09910828,0.100917935,0.10984191,0.121018976,0.13881826,0.17376159,0.22968502,0.2921815,0.3357276,0.34228945,0.31671086,0.27962536,0.2499053,0.23070584,0.21328717,0.18913454,0.16093194,0.14043154,0.13905786,0.15720768,0.18503933,0.20956135,0.22362603,0.22624259,0.21928133,0.20466538,0.18634401,0.17246763,0.17187412,0.18695414,0.20856269,0.2220283,0.21857607,0.20372248,0.19195408,0.19459659,0.21137659,0.23367721,0.25320074,0.2659513,0.2701862,0.26263455,0.24128954,0.20983899,0.17989363,0.16379292,0.16578586,0.1781859,0.19020621,0.19896065,0.21413237,0.24479431,0.28771457,0.32262585,0.33107403,0.30873135,0.27027905,0.23227304,0.20319451,0.18078654,0.16266705,0.15192343,0.15559222,0.17598195,0.20627235,0.23413675,0.25059012,0.254966,0.2516542,0.24460603,0.23470153,0.22281827,0.21124126,0.20289735,0.19837713,0.19610892,0.1948887,0.1984982,0.21720465,0.26197103,0.33101013,0.40209845,0.44436574,0.44434512,0.42083547,0.40766665,0.4219899,0.44767186,0.45421258,0.42553446,0.37375557,0.3247222,0.29644796,0.2890258,0.2928619,0.3018198,0.3178177,0.34118935,0.362644,0.366611,0.3499509,0.32997254,0.33273104,0.3660177,0.40945074,0.43139362,0.41689205,0.37753645,0.33614007,0.30675223,0.2885178,0.27521238,0.2648445,0.26022112,0.26312566,0.26942945,0.27413175,0.27780148,0.2927285,0.3304877,0.39038047,0.4485767,0.47684065,0.45970365,0.4102335,0.3544153,0.315127,0.29690537,0.2919977,0.28972587,0.28555056,0.27951118,0.27158704,0.2606767,0.25071737,0.25605264,0.29247633,0.359638,0.43062094,0.47043225,0.46388307,0.42970586,0.39841494,0.38578907,0.3807577,0.3654294,0.33220896,0.29192898,0.25882268,0.24041604,0.23304681,0.23413056,0.24945517,0.29075208,0.3564813,0.423818,0.45803654,0.44268242,0.39041904,0.33475903,0.30065605,0.2933972,0.30036032,0.30798233,0.3094686,0.30624753,0.3018037,0.2979376,0.29458866,0.29180273,0.29103312,0.29291275,0.29631174,0.2979722,0.29608807,0.2908186,0.28347537,0.2736057,0.2589062,0.23879738,0.21638584,0.19881445,0.19080591,0.1918137,0.1954184,0.19806857,0.2038408,0.22199218,0.25408182,0.2875007,0.30245888,0.28948113,0.25692895,0.22525525,0.20946103,0.21122865,0.21870951,0.2205524,0.21403497,0.20707218,0.20662923,0.21020068,0.20656817,0.18732579,0.15615188,0.12772013,0.11449996,0.11818823,0.13179965,0.15553392,0.19928928,0.26945588,0.3504657,0.41011846,0.42538717,0.39949158,0.3551259,0.31214678,0.27888826,0.2556627,0.24309368,0.24135286,0.2481577,0.25757346,0.264766,0.27005747,0.28287315,0.31501883,0.3700389,0.43168402,0.47420576,0.48058558,0.45932877,0.4306973,0.40770444,0.38315538,0.34587133,0.29546613,0.24689299,0.21455161,0.20084924,0.19729958,0.19876818,0.21250455,0.25282386,0.32239679,0.40241528,0.45949206,0.47093663,0.4389943,0.38882038,0.34727004,0.32773015,0.32651865,0.33220363,0.33637145,0.33714512,0.3372564,0.33860102,0.34335265,0.35555875,0.3815732,0.4209391,0.46200228,0.48588607,0.48481807,0.4689546,0.46018222,0.468339,0.4847407,0.48726717,0.46319506,0.41286,0.3490957,0.28295663,0.2248187,0.18310046,0.16802643,0.18436302,0.22581847,0.27349666,0.30579427,0.3111577,0.29246184,0.2608739,0.22644521,0.19525297,0.17123263,0.1582222,0.15952098,0.17596732,0.20431554,0.23723076,0.26592693,0.28460553,0.29174927,0.2895513,0.2810839,0.27128315,0.2681973,0.2838308,0.3279508,0.39700994,0.46936306,0.5147799,0.5165025,0.48045003,0.42847368,0.37900302,0.34098494,0.3153757,0.30158722,0.29669312,0.29554522,0.29258636,0.28675213,0.28512013,0.30115733,0.34681976,0.41871524,0.49480358,0.5451913,0.5559101,0.537023,0.50941426,0.48298392,0.44955775,0.39914978,0.33198544,0.2619116,0.2014286,0.1566795,0.12761353,0.118445255,0.14020708,0.20349872,0.30246007,0.40875027,0.48330078,0.5032788,0.47377765,0.4215584,0.3711916,0.33468342,0.31111404,0.29687372,0.2901921,0.2918413,0.30226043,0.31909257,0.33692288,0.34960887,0.35336903,0.34911558,0.34080872,0.33350578,0.32906327,0.32635662,0.3201579,0.30532953,0.27788594,0.24011517,0.19924264,0.16574068,0.14531785,0.13657032,0.13286634,0.13218184,0.14179759,0.17396013,0.23041995,0.2951533,0.34088516,0.35062838,0.32707712,0.29007494,0.25844768,0.24216731,0.23865117,0.24140708,0.24439885,0.24716204,0.25215507,0.26231614,0.27742377,0.29449388,0.3095209,0.32031786,0.32713175,0.3317531,0.3351728,0.33642066,0.33215842,0.31830272,0.29310015,0.2597119,0.22664511,0.20339008,0.19584095,0.20223148,0.21536201,0.22679079,0.23295414,0.23433785,0.23286016,0.22701305,0.21540408,0.20009898,0.18950522,0.19170897,0.20754492,0.22815223,0.24373223,0.25406608,0.27112606,0.3047932,0.35037264,0.38543844,0.39049527,0.36190343,0.31688344,0.27560002,0.2505937,0.24075134,0.2393793,0.24055539,0.24264781,0.24613702,0.24984491,0.25166333,0.24969293,0.24536408,0.2411177,0.24000657,0.24303184,0.2495678,0.25724062,0.26345265,0.26611614,0.26381764,0.2570891,0.2524213,0.26323417,0.30409405,0.37387565,0.4495095,0.49585232,0.49709758,0.4696535,0.44989672,0.45650724,0.47686437,0.47948858,0.44907475,0.3951137,0.3428208,0.30608273,0.28538224,0.27380812,0.2730831,0.28869164,0.31990746,0.35119537,0.36311805,0.3514991,0.3362402,0.34593487,0.39093706,0.4504324,0.48898515,0.48442855,0.44226825,0.3851008,0.33406046,0.29918864,0.28107297,0.2756963,0.27704567,0.2791991,0.27897725,0.27854252,0.2862173,0.31418452,0.3697143,0.4452571,0.5156443,0.55138063,0.53852344,0.48698592,0.42225698,0.36644495,0.33049712,0.31308267,0.30895355,0.3110552,0.3146712,0.3159715,0.31512877,0.31594515,0.32889283,0.3631133,0.4184743,0.47633386,0.512143,0.5125809,0.48877004,0.46076795,0.43795788,0.40977216,0.3632648,0.29834852,0.23012632,0.17393678,0.13673814,0.1193485,0.12528993,0.16331245,0.23811042,0.33701968,0.42772806,0.47480333,0.4661442,0.4199423,0.37032294,0.33973908,0.33072397,0.3319037,0.3330125,0.33049628,0.32683948,0.3255638,0.3280009,0.33226907,0.335415,0.33503786,0.33092678,0.3245647,0.31836182,0.3143992,0.31294146,0.3121958,0.30761686,0.29372022,0.26738933,0.23198748,0.19743766,0.1737376,0.16378498,0.16254693,0.16636275,0.18157631,0.22036242,0.28406057,0.35258558,0.39441988,0.39130732,0.35104975,0.30035838,0.26251274,0.24601854,0.2439373,0.24601944,0.24577242,0.24455743,0.2470843,0.25733373,0.27482358,0.2951562,0.3119464,0.3196973,0.31624648,0.30366454,0.2873281,0.27235147,0.26133227,0.25318524,0.24542542,0.23574984,0.22432595,0.21475829,0.21199058,0.2177246,0.22496055,0.22325395,0.20753534,0.18594193,0.170485,0.16531862,0.1622466,0.15333726,0.14220862,0.14113067,0.15726344,0.1827694,0.20439295,0.21621306,0.22916508,0.25607845,0.2988839,0.33947352,0.35796797,0.34677115,0.3178698,0.2880576,0.2667583,0.25224644,0.23891497,0.22479837,0.21119146,0.19949047,0.18824027,0.17694624,0.16798787,0.16584392,0.1725596,0.18669684,0.20451634,0.22176959,0.23489435,0.2424192,0.24580736,0.24772532,0.25054136,0.25872824,0.2814662,0.32959914,0.40013897,0.46954122,0.50257206,0.48512384,0.43842605,0.4051403,0.40762684,0.42877713,0.4302605,0.39171425,0.32816768,0.27196363,0.24331796,0.23985553,0.24926321,0.26560435,0.29053387,0.32245684,0.3495518,0.3571767,0.34499887,0.33259246,0.3458523,0.39074084,0.44475606,0.4723828,0.45581552,0.40487924,0.34561482,0.29528958,0.25579152,0.22076476,0.18973601,0.16996594,0.1681708,0.18211566,0.20154594,0.22083949,0.24741857,0.29666185,0.37162438,0.4516447,0.50242484,0.50410396,0.46647406,0.4197468,0.38949597,0.38173452,0.3866999,0.3913982,0.39018035,0.384133,0.37820438,0.37556458,0.380443,0.39822492,0.43481266,0.48529717,0.53185445,0.5511632,0.53494996,0.49634853,0.45796132,0.4312195,0.40818763,0.37593818,0.32945076,0.2773814,0.229632,0.19229253,0.16708894,0.15982468,0.18145412,0.24102741,0.33151606,0.42506275,0.48520255,0.49242234,0.4560472,0.4051926,0.36494878,0.34441578,0.33885396,0.3397646,0.3414248,0.34207752,0.34342185,0.34734568,0.35448214,0.36246064,0.36769104,0.36637858,0.35709557,0.34163666,0.32538387,0.31461275,0.3128227,0.3180131,0.32359323,0.32290947,0.31392896,0.30016258,0.28704616,0.27612543,0.26432237,0.248847,0.23530369,0.2364822,0.2600498,0.29667398,0.32257962,0.31984046,0.2888821,0.24646473,0.20693685,0.17520379,0.1494158,0.13190968,0.12922235,0.14569385,0.17603874,0.20805997,0.23098786,0.24230987,0.24614404,0.24756092,0.24884303,0.25153732,0.26081493,0.2874274,0.33991528,0.41350317,0.48422512,0.52321005,0.5172973,0.47883645,0.43282592,0.39705238,0.37577483,0.36485687,0.36104298,0.36180016,0.36571357,0.37126133,0.3792933,0.39277437,0.41674718,0.4550263,0.5038344,0.5495632,0.5739393,0.5694067,0.543313,0.51185066,0.48203942,0.44909468,0.40309557,0.3434391,0.2790347,0.22209914,0.17868614,0.150522,0.14116699,0.16090441,0.2191159,0.30949715,0.40454605,0.46810475,0.48160395,0.45378628,0.41149172,0.37629533,0.35606042,0.34793964,0.34724116,0.3504856,0.35493198,0.35956827,0.36468354,0.37293634,0.38750622,0.41152814,0.44346336,0.4754316,0.49646822,0.5025006,0.5016537,0.5068092,0.5209233,0.5307047,0.5166643,0.47108576,0.4032574,0.3322995,0.27155265,0.22677879,0.19982697,0.19658403,0.22177504,0.26953015,0.3187885,0.34321818,0.32980427,0.28515628,0.2288981,0.17697275,0.13639024,0.10706637,0.08942754,0.08668821,0.101782136,0.13313276,0.17178233,0.20648415,0.22788797,0.23317893,0.2240448,0.20611465,0.18599616,0.16951244,0.15938048,0.1553647,0.15629335,0.16041166,0.16595244,0.17050302,0.1735773,0.17628892,0.18103874,0.1884346,0.1974229,0.20530583,0.20935099,0.2067774,0.19650888,0.17973709,0.16047245,0.14306699,0.13083299,0.1254187,0.1270728,0.13457699,0.14432323,0.15240265,0.15603189,0.15562598,0.15293622,0.14981455,0.1465808,0.14241463,0.13651766,0.12972505,0.124988854,0.12576672,0.13354583,0.14700043,0.1624697,0.17588848,0.18357168,0.18424456,0.17914979,0.17190276,0.16556571,0.16153972,0.15910383,0.15714718,0.15491422,0.15281159,0.15195115,0.15344639,0.15706016,0.16101865,0.1633389,0.16360958,0.16327636,0.16383122,0.16533242,0.16662295,0.16673641,0.16531418,0.1618747,0.15571098,0.14686167,0.13691443,0.12807415,0.12166954,0.11751505,0.11491051,0.11334116,0.112858556,0.11331665,0.11447867,0.11586482,0.117353685,0.11893932,0.12077519,0.12283322,0.12510777,0.12750536,0.12992392,0.13213843,0.13412392,0.13602827,0.13798116,0.1402369,0.14365615,0.15092973,0.16480072,0.18623297,0.21028054,0.2288152,0.2343787,0.22825797,0.21854444,0.2148105,0.21880911,0.2258742,0.22979902,0.2291507,0.22571875,0.2217199,0.21736743,0.21162069,0.20302771,0.19042557,0.17382924,0.15478158,0.13648014,0.123060584,0.1192259,0.12862793,0.15132508,0.1824674,0.21399827,0.23916109,0.2544247,0.2595284,0.25497517,0.24223344,0.22310384,0.20151757,0.18213136,0.17058845,0.16878279,0.1745113,0.18036424,0.17992924,0.17023699,0.15381797,0.13503884,0.11854669,0.10893208,0.11097156,0.1267739,0.15188245,0.17661403,0.1926372,0.19940323,0.20252483,0.20757878,0.21486865,0.22025752,0.2184877,0.20582728,0.18172024,0.14940314,0.117169045,0.09595561,0.095028244,0.11585341,0.15047352,0.18549807,0.20946677,0.21877043,0.21807963,0.21652532,0.22193678,0.2363912,0.25533995,0.27086982,0.27762857,0.27611324,0.2705425,0.26315597,0.25235596,0.23561418,0.21447511,0.19405611,0.17968155,0.17336343,0.17448337,0.18182369,0.19337821,0.20557438,0.213075,0.21284918,0.20609249,0.19742121,0.19078761,0.18753554,0.18866087,0.19845884,0.22729409,0.2850449,0.36991957,0.4589058,0.51861507,0.5271007,0.4918745,0.44052848,0.40004572,0.37939155,0.37371203,0.37318647,0.37223387,0.36868265,0.3638165,0.3602487,0.3630998,0.3793012,0.4144007,0.46577206,0.51807123,0.5504634,0.5510307,0.5274609,0.4990759,0.48103967,0.4725974,0.46435532,0.44874224,0.42774487,0.4073286,0.39323267,0.3882691,0.39534044,0.41765022,0.45586553,0.50193554,0.5385325,0.547144,0.52258873,0.47699046,0.43090597,0.39743614,0.37767148,0.36620703,0.35947847,0.35726926,0.35999787,0.36640993,0.37358677,0.37826577,0.37824687,0.37356153,0.3663214,0.35909274,0.35337245,0.3497562,0.34978878,0.3559915,0.37034133,0.39111283,0.4131427,0.4298754,0.43744233,0.4361336,0.42919007,0.42035404,0.41317952,0.4125776,0.42368913,0.44622874,0.4703801,0.48072174,0.4686586,0.43857422,0.40434885,0.37737206,0.36151513,0.3539572,0.35109106,0.35082892,0.35319343,0.35858974,0.36653328,0.37506855,0.38129494,0.38269603,0.37825012,0.36924472,0.35889915,0.3506876,0.34659603,0.34657347,0.349712,0.3552214,0.3626111,0.37114164,0.37960783,0.38651624,0.39040002,0.3901216,0.3854674,0.3777112,0.36982572,0.3646536,0.36311805,0.36310086,0.36218318,0.35958147,0.35762152,0.35884464,0.36468136,0.3746954,0.38888,0.40843585,0.43225822,0.45449957,0.464324,0.45542732,0.4296193,0.39694628,0.36641803,0.34274712,0.32630876,0.31658766,0.31412366,0.31934068,0.33168426,0.3471346,0.36051133,0.36750862,0.3685186,0.36738005,0.36930415,0.37669003,0.38758346,0.39621714,0.3970901,0.38885674,0.375496,0.36340287,0.35907432,0.36755124,0.39233685,0.42971244,0.46769214,0.48966882,0.4900111,0.47935942,0.47736314,0.49195632,0.51111597,0.5134054,0.48812416,0.4442477,0.4002725,0.37027588,0.35694924,0.35835525,0.372627,0.39960423,0.43367395,0.46297744,0.4749113,0.46921,0.46211562,0.47428915,0.5093901,0.54519314,0.55023074,0.51188916,0.44769228,0.3891243,0.35586736,0.345822,0.34516528,0.3431461,0.33788383,0.33293688,0.33187476,0.33669505,0.34967604,0.3759171,0.42005965,0.4779277,0.5311737,0.55511284,0.5367647,0.48511156,0.4245459,0.37623572,0.34845197,0.33777142,0.33851632,0.34579352,0.35622537,0.36599064,0.37322864,0.38084602,0.39716014,0.4306517,0.477811,0.5199905,0.5325301,0.5089946,0.4683316,0.44094107,0.44027507,0.4547782,0.4636443,0.45759717,0.4428048,0.42888018,0.41950187,0.4128414,0.4098785,0.41691324,0.4438345,0.4897337,0.5390742,0.56348914,0.54694074,0.49539185,0.43513808,0.38866022,0.36378762,0.35504976,0.3552332,0.3604102,0.36813316,0.37516212,0.37836882,0.37766233,0.37601045,0.37690747,0.3807552,0.38578844,0.38964602,0.39313254,0.39821306,0.40667474,0.4163264,0.42282566,0.42272803,0.41687417,0.40960598,0.40458652,0.40284684,0.40427998,0.41123557,0.42916417,0.46096268,0.5010813,0.53367573,0.5423293,0.5214724,0.48141444,0.43962708,0.40928343,0.39326718,0.38815963,0.38896108,0.39243564,0.39682758,0.40164527,0.4071369,0.41353372,0.4208841,0.42881194,0.4360126,0.4410464,0.44219577,0.4397441,0.43419027,0.42611018,0.41453728,0.39903352,0.38153294,0.36551437,0.3540703,0.34697977,0.3426148,0.33912185,0.33650395,0.33554778,0.3377975,0.34415367,0.35465202,0.36772087,0.38185844,0.39581025,0.40880585,0.4189583,0.4245504,0.4260899,0.42825535,0.43813458,0.45916998,0.4861251,0.5056339,0.5058997,0.48574293,0.45544648,0.42796957,0.41054264,0.40325102,0.40272963,0.40558264,0.4090332,0.4110193,0.41037682,0.40759146,0.4040382,0.40079108,0.39763346,0.39343968,0.38807395,0.3826435,0.37976512,0.38123825,0.38778996,0.39783058,0.40874234,0.41845843,0.4282843,0.4435885,0.46895242,0.50148183,0.5295208,0.5420254,0.5409174,0.5389316,0.5470869,0.55864984,0.5577419,0.5331679,0.49448955,0.45980892,0.44310835,0.44170532,0.4472154,0.45405975,0.4651705,0.48197636,0.49897006,0.5059364,0.5010765,0.49717197,0.51210994,0.5494807,0.59075755,0.60879844,0.59157497,0.5490505,0.5022981,0.4642682,0.43699613,0.41703883,0.40444747,0.4013884,0.4083834,0.4207507,0.4324217,0.44232437,0.45887145,0.491774,0.5387688,0.5798381,0.59108096,0.56559825,0.5179064,0.4714781,0.4396501,0.42446056,0.4205365,0.4234701,0.4286299,0.4330031,0.43445882,0.43354213,0.43382534,0.4426495,0.46736383,0.5064687,0.5445244,0.56046325,0.5458765,0.51534563,0.49364188,0.4941144,0.506516,0.51118726,0.49697495,0.4698647,0.44242474,0.42268777,0.41206583,0.41167903,0.4276069,0.46546817,0.52020127,0.5712731,0.59341675,0.575247,0.5277518,0.47510597,0.4368641,0.4189438,0.4167308,0.42234313,0.42901897,0.43167672,0.42815375,0.41990924,0.4113513,0.40714636,0.40904263,0.41564,0.42247853,0.42560253,0.42306718,0.41776374,0.4139519,0.41425458,0.4159603,0.41514146,0.41032934,0.4057292,0.40597698,0.41318247,0.42387858,0.4350406,0.4458913,0.45959035,0.47511053,0.4846975,0.47508204,0.43934953,0.38276935,0.32197908,0.27355295,0.2467895,0.24070162,0.24904267,0.26342264,0.2762541,0.28063035,0.2725625,0.2531664,0.22922885,0.20979822,0.20060419,0.20199381,0.21137004,0.22981673,0.2648271,0.3253939,0.40848246,0.49193898,0.5431647,0.543955,0.50439817,0.45559576,0.42282125,0.41146377,0.40989482,0.40738237,0.40190756,0.39915273,0.40325293,0.41409174,0.430755,0.45682505,0.49840972,0.55175215,0.59739065,0.60981256,0.58166474,0.5340833,0.49911144,0.49236837,0.5002553,0.5005124,0.48195016,0.45381436,0.42928267,0.4149404,0.40735626,0.40437636,0.41069797,0.4359615,0.4812366,0.5327158,0.5659814,0.5647357,0.5310865,0.4832561,0.4406532,0.41279313,0.39922342,0.3941227,0.39351937,0.39479235,0.397639,0.40088114,0.4061282,0.41758716,0.44281828,0.4822116,0.5245299,0.549078,0.5454239,0.52553374,0.5160913,0.5320446,0.55891705,0.566222,0.5362845,0.48021162,0.4253833,0.3905128,0.37720332,0.37627912,0.38306454,0.39764908,0.41941968,0.4394064,0.44449222,0.4279721,0.39522135,0.359658,0.33139488,0.31273702,0.3005215,0.29182026,0.2863647,0.28449622,0.28629383,0.28961614,0.29203436,0.29084882,0.28587547,0.27904847,0.27315378,0.27027956,0.2734917,0.29168975,0.33559892,0.40594128,0.4820586,0.53201056,0.5366275,0.5043027,0.46069238,0.42519662,0.40151104,0.38373232,0.36875758,0.35811755,0.3546416,0.35797796,0.36547422,0.37634063,0.3950458,0.4283471,0.4757533,0.52244925,0.5474741,0.5400696,0.51212496,0.4854369,0.47447932,0.473717,0.47079727,0.4581348,0.4396558,0.42147204,0.4070035,0.39664197,0.39370143,0.40593204,0.44091344,0.49557647,0.55170256,0.5837031,0.5770157,0.5383429,0.48886117,0.4477512,0.42185012,0.4084756,0.40157607,0.3971522,0.39365068,0.3919609,0.393155,0.39705017,0.40241948,0.4084506,0.4150828,0.4212288,0.42418778,0.42136487,0.41341627,0.40410003,0.39743686,0.39401805,0.39159837,0.387792,0.3829372,0.37911138,0.3780209,0.3794868,0.3834013,0.3916862,0.40847394,0.43386507,0.4606152,0.47431836,0.46536934,0.4344299,0.39361575,0.3549291,0.32500303,0.30345377,0.2891724,0.2824243,0.28347197,0.28875747,0.29179272,0.28843808,0.28033257,0.2725328,0.26700935,0.26067677,0.2499131,0.23955567,0.24610293,0.28848225,0.3681253,0.45868745,0.5192432,0.5261925,0.48971942,0.4422054,0.40956688,0.39742637,0.39722112,0.39916933,0.3992711,0.39733124,0.39533117,0.39450243,0.3981479,0.41204107,0.4433125,0.48955765,0.5339237,0.5530024,0.5384039,0.50661755,0.48439983,0.4841932,0.49381343,0.4938747,0.4761965,0.44997692,0.42775413,0.41493317,0.4079012,0.403343,0.40509138,0.42355725,0.463488,0.5134862,0.54741216,0.54374766,0.50248677,0.444911,0.39556554,0.36592782,0.35325646,0.34943286,0.35010085,0.35491768,0.3650309,0.3796153,0.39877465,0.42491683,0.4630371,0.51138276,0.5579099,0.58370376,0.5808003,0.5609074,0.54726577,0.5517543,0.5618427,0.5531023,0.5132627,0.4552518,0.40533724,0.38121077,0.38293704,0.39943802,0.42288342,0.4507948,0.47948074,0.4973412,0.48965833,0.4523401,0.3966161,0.34209743,0.3011394,0.2747036,0.2567722,0.24264114,0.22986363,0.21724068,0.20474024,0.19618283,0.1974506,0.21165782,0.23396438,0.25426325,0.26372364,0.26095867,0.25167212,0.24418098,0.24483883,0.25515756,0.27210552,0.2890933,0.29977182,0.30083093,0.2943322,0.28531215,0.27845058,0.2743822,0.2704405,0.26303843,0.25122696,0.23699413,0.22392835,0.21453722,0.20962392,0.20832385,0.20870064,0.20762335,0.20253672,0.19396038,0.18702914,0.18881917,0.20271504,0.22514437,0.24655716,0.2583916,0.25736207,0.24749124,0.23533618,0.22661525,0.22264801,0.22136192,0.21918382,0.21407227,0.20630951,0.19716154,0.18778895,0.17967987,0.17581856,0.1792417,0.18960099,0.20222132,0.21090774,0.2132619,0.2112991,0.20916271,0.20906319,0.2107861,0.21276237,0.21301185,0.21048136,0.20524067,0.20014979,0.19834709,0.20189379,0.20905833,0.21643525,0.220074,0.21817495,0.21103801,0.2018931,0.19443125,0.19140697,0.19244753,0.19636244,0.20175193,0.20818312,0.21389185,0.21682714,0.21515577,0.20893134,0.19863205,0.18457313,0.16774602,0.15098166,0.13869451,0.13316822,0.13368279,0.137519,0.14413613,0.15437542,0.16802265,0.18074165,0.18715306,0.1847298,0.17610358,0.16608603,0.15853675,0.1551915,0.15678076,0.16356407,0.17448147,0.18678315,0.19714534,0.20376076,0.20683956,0.20769767,0.20718516,0.2055858,0.2027095,0.19829573,0.19167258,0.1824243,0.17095977,0.15900753,0.14846382,0.14010799,0.13300823,0.12560782,0.117086016,0.10786835,0.09936396,0.09355784,0.092553854,0.09729564,0.10620513,0.11536798,0.12049758,0.11940172,0.11259792,0.102578335,0.09200111,0.08272931,0.075291775,0.06953138,0.06509577,0.061965223,0.060261663,0.060023252,0.06088816,0.06212384,0.06297975,0.06303834,0.062299583,0.060960546,0.059354264,0.0578604,0.056792557,0.056162953,0.055873737,0.05591111,0.056402784,0.05732562,0.0584271,0.0593854,0.059994385,0.060210112,0.060130324,0.060018405,0.060284063,0.061230827,0.062594086,0.06310794,0.06073357,0.054178312,0.045313325,0.04046839,0.04829846,0.07350961,0.11205543,0.151749,0.18078227,0.19451219,0.19668138,0.19355093,0.18995966,0.18897271,0.19299324,0.20283313,0.21571319,0.22653323,0.23116289,0.22943528,0.22422512,0.21870565,0.21417595,0.21018136,0.20722097,0.21065657,0.23272848,0.28698707,0.37410924,0.4726014,0.5465315,0.5710637,0.54956883,0.5082217,0.47281468,0.45322207,0.44524,0.44192564,0.44046196,0.44139063,0.44472435,0.45020375,0.4587765,0.4744996,0.4996009,0.53071207,0.55732083,0.56964874,0.56642723,0.55681497,0.55209947,0.5546263,0.55624676,0.5468045,0.5252606,0.49995998,0.48045567,0.4698715,0.46581697,0.46677002,0.47617447,0.50013506,0.5383737,0.57812256,0.5979158,0.58378726,0.54142076,0.49218073,0.4562986,0.43961862,0.43615505,0.43674827,0.43604335,0.43163088,0.4235824,0.41394007,0.40679243,0.40492928,0.4080852,0.4124469,0.4140129,0.41073072,0.4043242,0.39931035,0.4003899,0.4088467,0.4212489,0.43172577,0.43658742,0.43595397,0.43297708,0.42983428,0.42766547,0.4276779,0.43443957,0.45390108,0.48614797,0.5210044,0.540863,0.5360419,0.51045835,0.47953776,0.4548408,0.43988287,0.4312371,0.42633724,0.42463437,0.4265779,0.43132254,0.43675268,0.44094124,0.4433399,0.4452466,0.4478227,0.4508789,0.45240343,0.45039263,0.4439051,0.43307915,0.41958556,0.4065282,0.39876637,0.39966628,0.40953767,0.42427537,0.43804777,0.4455367,0.444761,0.4378955,0.4303325,0.4274087,0.43117967,0.4392856,0.44753572,0.45281383,0.45504332,0.4554644,0.45516983,0.45486358,0.4569273,0.46613097,0.48542175,0.5108407,0.5305364,0.5333013,0.51732063,0.49148253,0.467103,0.44946924,0.4371988,0.42671955,0.417382,0.41116503,0.41067293,0.41615203,0.42537394,0.43496957,0.44198096,0.4449652,0.4433447,0.43801057,0.43035924,0.42283002,0.41728044,0.41526362,0.41649744,0.41969082,0.4242729,0.43350676,0.45460463,0.4901514,0.5316095,0.55984664,0.56367093,0.55056256,0.54297084,0.5530345,0.5716436,0.57516485,0.5514038,0.5068546,0.46150088,0.42954335,0.41542017,0.41558564,0.42676732,0.44752812,0.47490096,0.5017907,0.5183347,0.52218074,0.5236332,0.5399949,0.57717896,0.61929446,0.63852787,0.6187064,0.56870425,0.5129687,0.4711152,0.44732165,0.43541753,0.42878795,0.42482945,0.42282543,0.4226168,0.42415524,0.4305265,0.44744146,0.48033237,0.52479005,0.56465477,0.5781586,0.5563543,0.5077827,0.45424756,0.41275474,0.3904989,0.38401535,0.38633147,0.3903362,0.39154842,0.38971046,0.38807383,0.39273915,0.41109443,0.4476489,0.49757195,0.5430133,0.56360483,0.55344087,0.5289554,0.51329297,0.514432,0.51878905,0.5094304,0.48339555,0.45344833,0.431705,0.42069802,0.41483235,0.41241586,0.41927466,0.44482282,0.48808312,0.53263503,0.55226505,0.53359497,0.48546973,0.43462074,0.40086612,0.3882341,0.3866985,0.38772953,0.38804904,0.38853595,0.38922957,0.38878092,0.38633028,0.38203886,0.37751004,0.37377742,0.37049606,0.36624977,0.3600634,0.3538829,0.35090122,0.35406777,0.36270812,0.37365976,0.38304377,0.389495,0.39406395,0.3987522,0.40375075,0.4103229,0.42211613,0.44683358,0.4852747,0.52765083,0.55332404,0.54920125,0.5172132,0.47505033,0.43949306,0.4193039,0.41235742,0.4135896,0.41710863,0.41961333,0.41914463,0.41636178,0.4132314,0.41166183,0.4126359,0.4155116,0.41967246,0.42494592,0.43111727,0.4373527,0.43944493,0.43285283,0.41343117,0.38367522,0.35059085,0.32327667,0.30646315,0.29935336,0.29826048,0.29949287,0.301365,0.30302155,0.30421162,0.3044882,0.30356947,0.30148694,0.29899853,0.2967334,0.29505256,0.29329118,0.29302678,0.29933676,0.3218772,0.3652202,0.42105994,0.46567285,0.47648522,0.4481196,0.39730904,0.34736696,0.31260538,0.29343835,0.28438565,0.28140628,0.28362662,0.28987968,0.29693612,0.30080542,0.29998562,0.2962948,0.29275742,0.29077718,0.28983665,0.28907737,0.2890618,0.29138413,0.29719186,0.3054054,0.31346247,0.32140115,0.3350023,0.36396217,0.40969577,0.4585975,0.4868958,0.48398212,0.4642631,0.45585468,0.47099528,0.4922205,0.49038303,0.45237884,0.3922942,0.33484748,0.295965,0.27640906,0.27133572,0.27989867,0.30623308,0.34923863,0.39684734,0.42989385,0.4413267,0.44406822,0.46185502,0.50206536,0.54496473,0.55801624,0.5250135,0.4584458,0.38722363,0.3346388,0.30802333,0.30274984,0.31217828,0.33177403,0.35833517,0.38613936,0.40780422,0.4174715,0.4144033,0.40138808,0.38174912,0.35776988,0.33189607,0.30684528,0.2846903,0.2659273,0.25093424,0.24006015,0.23319529,0.22821446,0.22266118,0.21579683,0.20971264,0.20764053,0.21077497,0.21757597,0.22392678,0.22683315,0.22475494,0.21911609,0.21191628,0.20632525,0.20499112,0.20892806,0.21568687,0.2196487,0.21680933,0.20686571,0.19380371,0.18049228,0.16874667,0.16033278,0.15926401,0.16829173,0.18532602,0.20380278,0.21710272,0.22196369,0.21886289,0.20997965,0.19911914,0.190257,0.18771966,0.19299312,0.20512481,0.21960056,0.23214225,0.23887222,0.23859958,0.2309814,0.21769722,0.20146167,0.18510413,0.16944242,0.15307067,0.1361636,0.12306916,0.12099805,0.1339135,0.15812583,0.1844608,0.20341475,0.21066485,0.20709719,0.19751471,0.18709356,0.17954421,0.17612654,0.1765164,0.17930138,0.18157935,0.17910212,0.16914976,0.15442511,0.14313997,0.14343184,0.15660383,0.1761456,0.19263393,0.19933176,0.19346564,0.17548014,0.14913638,0.122906275,0.107099585,0.108694285,0.12533458,0.14820941,0.16737773,0.17951407,0.18708341,0.19518535,0.20620157,0.21876182,0.22998703,0.23777951,0.24263775,0.2451156,0.24462342,0.23883122,0.22735958,0.21405451,0.20521037,0.2045399,0.20921834,0.21276206,0.21040756,0.20401227,0.19992803,0.20409082,0.21675335,0.2331717,0.2470175,0.25456467,0.25485346,0.24846083,0.23603946,0.21817786,0.1959006,0.17076659,0.14553984,0.12339426,0.10704553,0.096999325,0.09188041,0.089577384,0.088733844,0.08881241,0.08960515,0.09085753,0.092384614,0.09409117,0.09575368,0.09716237,0.09906912,0.10399339,0.114717126,0.13010414,0.14328581,0.14581586,0.13689095,0.12661536,0.12898135,0.14971967,0.18117167,0.20985945,0.2265218,0.23156632,0.22966726,0.22437929,0.2153873,0.20252208,0.18907951,0.18110664,0.18208294,0.18782206,0.189209,0.17955051,0.16260159,0.14922701,0.14902331,0.16076483,0.17486912,0.18143015,0.17894872,0.17380579,0.17391074,0.18262024,0.19760676,0.21396522,0.22617823,0.22927211,0.2197965,0.19919968,0.1746888,0.15591173,0.14677973,0.1430649,0.13644806,0.1259213,0.11943751,0.12870015,0.15621531,0.19360508,0.22644961,0.24522305,0.24882102,0.24277966,0.233985,0.22702016,0.22317223,0.22099961,0.21841341,0.21542662,0.21393742,0.21638632,0.22141086,0.22648282,0.2285083,0.22795577,0.22461249,0.21913797,0.21174033,0.20586413,0.20486082,0.2107157,0.22173037,0.23503901,0.24713652,0.2546669,0.2536504,0.24154282,0.21843712,0.18858205,0.1590662,0.13855565,0.13344689,0.14439523,0.16403748,0.18108463,0.18781199,0.18561105,0.18345422,0.18986957,0.20717597,0.22911327,0.2466362,0.25242946,0.24589503,0.23072867,0.21322434,0.19909431,0.19391559,0.20015399,0.21538116,0.2311406,0.23901628,0.23568362,0.22615378,0.21792726,0.21564753,0.21567501,0.21071094,0.19577676,0.17500694,0.15772443,0.15027265,0.15021296,0.15032132,0.14757775,0.14568748,0.15080668,0.16422032,0.18216364,0.1986013,0.21015976,0.21611522,0.21758777,0.21453404,0.2061946,0.1931855,0.17992139,0.17269516,0.17409623,0.1800239,0.18321724,0.18059959,0.17553426,0.17263645,0.17204304,0.1707301,0.16916269,0.17250697,0.18483524,0.202447,0.21713857,0.22339137,0.22301169,0.22082712,0.22057946,0.22241013,0.22530264,0.2272195,0.22733812,0.22538148,0.22245616,0.21857174,0.21306576,0.20590216,0.19964974,0.19831736,0.20306413,0.21024537,0.21272933,0.20509629,0.18716826,0.16479152,0.14793192,0.14531596,0.16066794,0.18933167,0.22256051,0.24994993,0.263698,0.25807148,0.23370218,0.19901079,0.16941904,0.1570204,0.16271745,0.17485769,0.18107134,0.1780706,0.1732517,0.17412277,0.18096752,0.18827043,0.1930397,0.19766802,0.20640929,0.2193476,0.23235764,0.24003531,0.2402221,0.23464006,0.22708434,0.21953404,0.21025924,0.19584918,0.17614453,0.15710406,0.14851148,0.15561078,0.17394197,0.19102955,0.19790792,0.19503336,0.18964642,0.18560998,0.18156822,0.17663608,0.17532958,0.18395156,0.20263314,0.22397454,0.23839337,0.2414672,0.23489936,0.22276229,0.2075854,0.19018169,0.17266066,0.15861507,0.1519857,0.15339606,0.16121589,0.17181684,0.18236513,0.18997665,0.19351305,0.19414133,0.19966574,0.223248,0.27666143,0.3542136,0.4287429,0.46482477,0.4472398,0.3915107,0.33068916,0.2887503,0.26921985,0.26243362,0.25903082,0.25632903,0.25548813,0.2569339,0.2595525,0.26562235,0.2851267,0.33182535,0.40678665,0.48779678,0.5362003,0.52723974,0.46848902,0.39484254,0.3387157,0.3116031,0.30507973,0.30602905,0.30717885,0.30704036,0.3067465,0.30747268,0.31453288,0.33721864,0.38426176,0.44912234,0.5072369,0.5274964,0.49869904,0.43762517,0.3760319,0.33503687,0.31643596,0.3106948,0.30943254,0.30904776,0.30757818,0.30269918,0.2922761,0.27717575,0.26155636,0.25155756,0.25067213,0.25718927,0.2644858,0.2665284,0.26267806,0.25916055,0.2631867,0.27652636,0.29265466,0.30343112,0.30652225,0.3079133,0.3148333,0.3281432,0.3413069,0.3468826,0.34352466,0.3362604,0.33137357,0.331157,0.3334302,0.3347946,0.33312225,0.3281397,0.31982458,0.3086654,0.2964321,0.28746077,0.2869973,0.29718724,0.3148611,0.3325189,0.34457168,0.3495601,0.35008553,0.34798113,0.344484,0.34340727,0.3537687,0.38596308,0.43855676,0.4942932,0.52547985,0.51690894,0.473197,0.4164668,0.36702618,0.33602205,0.32324743,0.32299682,0.32793453,0.33246723,0.33444834,0.33442768,0.33651802,0.3488269,0.38112685,0.43154037,0.4803857,0.49657485,0.46629837,0.4040232,0.34523305,0.31545064,0.31822142,0.33850002,0.3605175,0.3765925,0.38661698,0.39276704,0.39547658,0.3971909,0.40468374,0.42849913,0.4692452,0.5126584,0.5336641,0.5198135,0.47859183,0.43303153,0.40045372,0.38617364,0.3849415,0.38941327,0.39262697,0.3889062,0.3757756,0.35515937,0.3330671,0.3144571,0.30035868,0.28679338,0.2701437,0.25036454,0.23300277,0.22457622,0.22947733,0.24650364,0.27072123,0.29546383,0.3166101,0.3337301,0.34926668,0.36528337,0.38148388,0.39542654,0.4039966,0.40525767,0.3993926,0.38891402,0.37748322,0.36841416,0.363538,0.36255848,0.36363328,0.36427733,0.36294684,0.3591224,0.3530898,0.34511185,0.3353021,0.3232289,0.30905247,0.29445353,0.28384885,0.28087583,0.2855204,0.29335818,0.30323803,0.32231185,0.36189595,0.42106095,0.4794084,0.5073816,0.49191806,0.44476166,0.39265212,0.35361937,0.3313065,0.3204721,0.32100773,0.33912304,0.37915123,0.4307878,0.470021,0.47442183,0.44245863,0.39241716,0.34803095,0.3198882,0.30768707,0.30757022,0.32067692,0.34649202,0.3766092,0.39458063,0.38777718,0.35791132,0.3191007,0.28668097,0.2668239,0.25805008,0.25927594,0.2750307,0.3128775,0.36847377,0.42277953,0.44682816,0.4296184,0.38247144,0.33425054,0.3029046,0.29091218,0.2901733,0.29841018,0.32220325,0.3650119,0.4171163,0.45285335,0.45222035,0.41492215,0.363441,0.3222778,0.30242404,0.3002433,0.30992684,0.3335146,0.37522662,0.42925823,0.47419086,0.48673013,0.460785,0.41239378,0.36582708,0.33507633,0.32008815,0.31561312,0.3213701,0.34350464,0.38273302,0.42765188,0.45476547,0.44915354,0.4146259,0.37322235,0.3448727,0.33599988,0.34137008,0.35560384,0.38021925,0.41558257,0.453344,0.47414768,0.46451405,0.4269408,0.38080618,0.34482682,0.3266773,0.32279405,0.32861543,0.3455132,0.376853,0.41877902,0.4551101,0.46791852,0.45525065,0.43684456,0.43735802,0.4609876,0.4857215,0.48566684,0.4581356,0.4280226,0.42077324,0.43731916,0.45283973,0.44639882,0.42251536,0.4069339,0.41646302,0.44167057,0.45715192,0.45045722,0.43414295,0.43013743,0.44371077,0.45744285,0.45085254,0.42322242,0.3950626,0.38781092,0.40328085,0.42293784,0.42693412,0.41247523,0.39550254,0.39118648,0.39942667,0.40476498,0.39769635,0.383778,0.37879646,0.38757396,0.39923012,0.39899227,0.38688147,0.38044262,0.3952144,0.42831686,0.4563632,0.46161398,0.44679406,0.43589973,0.44354585,0.46330348,0.4713683,0.45954433,0.44215515,0.44471598,0.4717239,0.5037201,0.51567787,0.50480276,0.49143806,0.49598524,0.5168493,0.53068596,0.51929665,0.48783013,0.46345535,0.4680952,0.50198287,0.5453875,0.57796913,0.5926295,0.5928848,0.5848897,0.56855994,0.5435183,0.51310784,0.48850986,0.47970092,0.4890802,0.5089071,0.52914447,0.5427525,0.5488596,0.54895145,0.54683965,0.5443688,0.5406422,0.527195,0.49423364,0.43837252,0.37074402,0.3097092,0.26801363,0.24486029,0.23167028,0.22147328,0.21268517,0.20591594,0.20139916,0.19890459,0.19856302,0.2002507,0.20276397,0.20467424,0.20546906,0.20612137,0.20785515,0.21099158,0.21468057,0.21764843,0.219308,0.21998943,0.22067024,0.22206575,0.22396688,0.22519876,0.22416107,0.22031713,0.21494831,0.21056698,0.20839576,0.20635687,0.20012611,0.18643689,0.16619705,0.14373793,0.12440071,0.11167703,0.10705122,0.10951356,0.11616379,0.12228248,0.124135666,0.12108776,0.116145365,0.113163166,0.11342051,0.11522316,0.11572666,0.114425294,0.11310909,0.114323474,0.11834258,0.12335706,0.12731063,0.12970884,0.13129504,0.13201767,0.13097388,0.12717289,0.12191781,0.11786264,0.11755597,0.1205048,0.12413418,0.12598932,0.12669598,0.12892933,0.13461179,0.1423797,0.14878386,0.15122128,0.1499754,0.14723034,0.14485319,0.14406441,0.14692302,0.15703835,0.17602862,0.20025384,0.22158758,0.23424,0.23873346,0.24017756,0.24212404,0.24376015,0.2424487,0.23738946,0.23238252,0.23313558,0.24384542,0.26258186,0.282363,0.29553747,0.29913366,0.29595074,0.29082677,0.2868732,0.28391013,0.2806004,0.27616286,0.2710344,0.2657957,0.2607386,0.255999,0.25211242,0.24992692,0.25024346,0.25331938,0.25877124,0.26541948,0.27178463,0.27633262,0.27834013,0.27764142,0.27485418,0.27057913,0.26585662,0.2618474,0.26021993,0.26198623,0.26674286,0.27207044,0.2747539,0.27280343,0.2668409,0.25999287,0.2557744,0.25618443,0.2604396,0.2660172,0.27009293,0.27137685,0.2702055,0.2682809,0.26721188,0.26785973,0.26962176,0.27109304,0.27102008,0.26941946,0.2676033,0.26701877,0.268078,0.26967755,0.27025363,0.26885214,0.26588067,0.26238477,0.25932136,0.25698504,0.2555333,0.25503886,0.25509277,0.25409606,0.24991696,0.24156965,0.23035912,0.21870458,0.20812964,0.19823183,0.18832189,0.17825061,0.1684615,0.1585028,0.14860232,0.1409672,0.14033651,0.15067494,0.17222716,0.20074141,0.22852635,0.24837387,0.2560831,0.25399587,0.24798803,0.24436247,0.2465189,0.2590572,0.29012755,0.34699544,0.42232585,0.49112526,0.5237522,0.5115432,0.47153702,0.43251932,0.41040924,0.40397403,0.40323496,0.40230548,0.40152612,0.40396178,0.41035974,0.41911736,0.4287993,0.44271526,0.46653214,0.5022673,0.54053354,0.56517094,0.56513286,0.5457346,0.5226825,0.50761753,0.4978164,0.48337063,0.4589683,0.42973056,0.40438497,0.38842294,0.38152385,0.38299918,0.39526412,0.42327252,0.46468973,0.5046417,0.5205485,0.5008763,0.45485768,0.4059993,0.3726026,0.35796478,0.35483858,0.3554481,0.35720286,0.36032173,0.36585745,0.37266478,0.37894246,0.38250458,0.38274673,0.38036788,0.37634727,0.37175846,0.3669462,0.36314818,0.36150143,0.36319244,0.36795285,0.37431052,0.3805513,0.3853601,0.38863155,0.39085504,0.3932433,0.39783022,0.40758362,0.42610595,0.4528384,0.48095623,0.49753007,0.49434748,0.4733579,0.4472612,0.42822075,0.42193356,0.42530107,0.4324336,0.43819717,0.441794,0.44499382,0.4499185,0.4563044,0.4619634,0.46491647,0.46452853,0.46149933,0.45726052,0.45290697,0.4497167,0.44750705,0.44647613,0.44516826,0.4425651,0.43705365,0.429621,0.42271543,0.41905677,0.41807935,0.4164212,0.41075054,0.40139022,0.3919171,0.38589132,0.38352585,0.38256168,0.3811971,0.38056412,0.38313594,0.3903556,0.40178677,0.41675365,0.43630525,0.4604198,0.48502812,0.5004439,0.49842027,0.4796106,0.45438507,0.43564263,0.4280438,0.42847827,0.4295794,0.42857787,0.4257401,0.42322287,0.42104292,0.4192333,0.4185122,0.4201146,0.42274284,0.42331517,0.41923916,0.41252354,0.40757164,0.4092754,0.418529,0.433082,0.4474649,0.45897126,0.47064137,0.49339232,0.5328888,0.58089715,0.612393,0.6104682,0.5822777,0.5590361,0.5622361,0.5830991,0.58841705,0.5560762,0.49382973,0.4317495,0.39296672,0.38096514,0.38409284,0.39377248,0.41037962,0.4374728,0.47051287,0.4967858,0.5080604,0.5115886,0.525142,0.5578258,0.5974546,0.6185685,0.6046338,0.56099385,0.5091045,0.46806133,0.4447197,0.4344356,0.43049565,0.42864704,0.4282614,0.4291017,0.4314219,0.43773353,0.4552907,0.4906321,0.5395639,0.5826333,0.5956982,0.5691877,0.5158581,0.46157444,0.426026,0.41337398,0.41515216,0.420336,0.42278644,0.42123353,0.41719493,0.41186664,0.40993968,0.4204084,0.45356178,0.5077912,0.5638786,0.5936945,0.5833858,0.54533845,0.5080802,0.4907217,0.49058652,0.4909304,0.48049268,0.4609231,0.4421858,0.4311501,0.4287127,0.433722,0.44941947,0.4833758,0.53665084,0.5955568,0.63265926,0.62836343,0.58423996,0.5243633,0.47308323,0.44213963,0.42775512,0.42269742,0.42312774,0.42846334,0.43724313,0.44448963,0.4459451,0.44060516,0.43373218,0.43134114,0.43751535,0.448698,0.45820054,0.4582704,0.44799456,0.43079373,0.41405463,0.40189722,0.39638245,0.39655197,0.40199068,0.4106649,0.41957834,0.4260932,0.43229213,0.44457504,0.46583697,0.48819995,0.4935061,0.46822128,0.41450647,0.35183573,0.30123875,0.27327904,0.26360843,0.2622566,0.261713,0.2608219,0.26110187,0.2626277,0.2630054,0.25966635,0.25308532,0.24616943,0.24259754,0.24556236,0.2608562,0.29826954,0.36526653,0.4543592,0.53861237,0.5859521,0.5834655,0.54560727,0.5009781,0.46940956,0.45523703,0.453177,0.45777097,0.46579745,0.47459832,0.48191676,0.4862347,0.49028382,0.50165623,0.5298473,0.5746977,0.62186706,0.6481502,0.64237815,0.6117475,0.576984,0.55150676,0.5370106,0.5264326,0.5158258,0.5056143,0.49859762,0.4953412,0.49470022,0.4968013,0.50617796,0.5299564,0.5686488,0.60999584,0.6315879,0.61918926,0.5769837,0.52707595,0.49013618,0.47571543,0.47888938,0.49067983,0.5024182,0.5106699,0.5150201,0.51830006,0.5234294,0.53418046,0.55320007,0.5801408,0.6075969,0.6238126,0.62232995,0.6098164,0.60173607,0.60475785,0.6092412,0.59591985,0.5592078,0.5110252,0.47464153,0.46155056,0.47029662,0.48882008,0.50995517,0.5308695,0.5503475,0.56084114,0.55110234,0.51529795,0.4594178,0.39861858,0.34620264,0.3082579,0.28465208,0.27384755,0.27436998,0.28395268,0.2993765,0.3168174,0.33314863,0.34677258,0.357582,0.36597165,0.3711054,0.37286678,0.37554476,0.38993287,0.4274577,0.48712698,0.55041736,0.58891416,0.58705235,0.55062324,0.5024144,0.46139178,0.4354963,0.4215788,0.4145631,0.4109486,0.40942845,0.41035637,0.41414165,0.42401004,0.4453176,0.48443595,0.5379168,0.58920246,0.61430067,0.60260344,0.5661532,0.53125125,0.514561,0.5115861,0.5053044,0.48527062,0.45617774,0.43077472,0.41762045,0.41654864,0.42446268,0.4420046,0.47493783,0.52260464,0.57148623,0.59610033,0.58174616,0.5356633,0.48582354,0.45516428,0.44904366,0.4551272,0.46009445,0.45780173,0.45041668,0.44232175,0.4364915,0.43320236,0.43092307,0.42803872,0.42358723,0.41743252,0.40922117,0.39956477,0.3904506,0.38528836,0.3850381,0.38697085,0.3860766,0.38073668,0.37463084,0.37418887,0.38211063,0.39519334,0.40818432,0.42072916,0.4383937,0.4647615,0.49299312,0.50595236,0.489338,0.4430001,0.38258016,0.32677355,0.28550172,0.25640905,0.2331695,0.21454918,0.20625556,0.21332735,0.23315884,0.25575542,0.27249488,0.28179476,0.28864548,0.29765582,0.3106596,0.32948828,0.36144754,0.41557208,0.48987135,0.5624833,0.60093623,0.58788663,0.5345686,0.47294593,0.42934898,0.41281733,0.41633213,0.42955336,0.44324836,0.45232737,0.4551215,0.45494577,0.45835498,0.47415575,0.5081907,0.5565588,0.6023569,0.6236251,0.6117967,0.57873684,0.5480247,0.5332567,0.5308885,0.5273535,0.51461643,0.49511197,0.47724685,0.46604314,0.46092474,0.45974752,0.46559513,0.48603463,0.5236309,0.56795377,0.5972677,0.59548455,0.5636031,0.52089363,0.48831293,0.4771377,0.48382807,0.49851456,0.5108182,0.5161495,0.5138492,0.50768393,0.50290537,0.50721294,0.5269268,0.56158847,0.6000038,0.6246578,0.62763613,0.6170647,0.6117966,0.6176606,0.62281203,0.60574454,0.5624915,0.50724363,0.4643458,0.44412962,0.44493076,0.45732144,0.47779036,0.50474024,0.5327657,0.5477348,0.532244,0.47959033,0.3994582,0.31450796,0.24413677,0.19597453,0.16599788,0.14803348,0.13980484,0.141733,0.15203089,0.16343592,0.16795982,0.16300303,0.1557685,0.15779364,0.17678405,0.2094581,0.24418204,0.26856935,0.2777114,0.27484325,0.26670304,0.25684267,0.24478267,0.22935563,0.21378475,0.20455413,0.20629247,0.21665357,0.22791617,0.23273037,0.22914894,0.22017227,0.2106039,0.20356648,0.20015924,0.19960475,0.20076221,0.20236064,0.20363517,0.20383674,0.20259778,0.20018212,0.19787873,0.19704169,0.19796734,0.19939916,0.1994849,0.19750422,0.19449155,0.19304621,0.19486445,0.19972105,0.2048064,0.20725878,0.2057703,0.20162606,0.19742863,0.19526897,0.19576032,0.19775401,0.19950195,0.1989209,0.19467324,0.18655433,0.1767422,0.16889979,0.16611701,0.16827421,0.17192088,0.17276452,0.1678916,0.15668125,0.13941534,0.117679566,0.09490618,0.07766809,0.073049314,0.084805824,0.10954708,0.13811566,0.16008712,0.16878043,0.162509,0.14345597,0.11589568,0.08539849,0.057566855,0.03647637,0.023313811,0.016798979,0.014509906,0.014344409,0.014985196,0.015846519,0.01669179,0.017553514,0.01923561,0.024145888,0.036378097,0.05930378,0.09239423,0.12971345,0.16324165,0.18746577,0.20207757,0.21018039,0.2154666,0.22050263,0.22680199,0.23515104,0.2454406,0.2563534,0.2653222,0.26951537,0.26697233,0.2574998,0.24173768,0.22094369,0.19672193,0.17282303,0.15416254,0.14579825,0.14900957,0.16067965,0.17367758,0.18161254,0.18236494,0.17895977,0.1764193,0.17718494,0.18068606,0.1843573,0.18750586,0.19031794,0.19360155,0.19569409,0.19477321,0.1899424,0.1836795,0.17858382,0.17465974,0.16798754,0.15412767,0.13291724,0.10974757,0.09364549,0.09022873,0.0980348,0.107215166,0.10753265,0.09433073,0.07267216,0.05137003,0.03834502,0.03711615,0.04899637,0.073195316,0.10598588,0.13993633,0.16666651,0.18086731,0.18212475,0.17349946,0.1591342,0.14278905,0.12744783,0.11500124,0.10627849,0.101115614,0.09847438,0.09654904,0.09413433,0.09259368,0.0956673,0.10652921,0.123879045,0.14289089,0.15807255,0.16718598,0.17024343,0.16903716,0.16535777,0.16108681,0.15665652,0.15106277,0.1431447,0.13336994,0.124088444,0.11728235,0.11350445,0.11193228,0.11249527,0.115636624,0.12161672,0.12873727,0.13446777,0.13650203,0.13410339,0.12746763,0.11774764,0.107638605,0.101332866,0.10255871,0.1112673,0.12312909,0.1321684,0.13465232,0.13046707,0.121780224,0.111157484,0.10042271,0.090603106,0.08199,0.07452627,0.06807358,0.062667355,0.05838592,0.055221606,0.052959036,0.05125911,0.049815673,0.048445474,0.047103614,0.045747604,0.044329837,0.042772952,0.041057218,0.039183658,0.037206825,0.03518431,0.033177767,0.03119564,0.029219048,0.027266199,0.025424175,0.023831109,0.022546606,0.021538042,0.020654112,0.019751625,0.018728798,0.017621009,0.016545357,0.01564338,0.014963484,0.014464694,0.014079232,0.013783503,0.013583287,0.013453007,0.013309575,0.013042323,0.012574579,0.011899867,0.011090671,0.010258526,0.009513346,0.008918621,0.008503149,0.008266169,0.008190945,0.008217924,0.008249044,0.008174946,0.007949195,0.0077291303,0.008308889,0.011801153,0.021797389,0.0419015,0.07239681,0.10764861,0.13696395,0.15053596,0.14641212,0.13315834,0.124435745,0.129198,0.14594449,0.16509502,0.17696458,0.17631876,0.16309303,0.14033131,0.11474356,0.094954826,0.08810694,0.094511665,0.10786647,0.119978786,0.12698494,0.13100795,0.13697465,0.14821203,0.16396011,0.18067046,0.19446512,0.20357724,0.20812458,0.2088455,0.20537274,0.19683222,0.18365417,0.16938998,0.15940876,0.15749301,0.16302085,0.17177652,0.17939007,0.18387084,0.18578415,0.18642718,0.18682124,0.1871926,0.18737316,0.18671803,0.18434854,0.17944475,0.17196448,0.16296566,0.15415575,0.14664477,0.14022939,0.13362975,0.12598218,0.11772516,0.11093128,0.10742115,0.10711411,0.10641799,0.10087201,0.08811291,0.07087418,0.054306,0.042754058,0.037012875,0.036328018,0.040727343,0.0518578,0.07045249,0.09397129,0.11670399,0.1332438,0.14113666,0.1413368,0.1356141,0.12519844,0.11047214,0.09235725,0.07292265,0.055429805,0.04334623,0.038647834,0.040631104,0.045910206,0.05097315,0.054820772,0.06040122,0.071590334,0.0894504,0.109700195,0.12610012,0.1344416,0.13540828,0.13228603,0.12853439,0.12594792,0.12509252,0.12555277,0.12593979,0.1240925,0.11827973,0.109244354,0.10054833,0.09650859,0.09837655,0.10339918,0.10682237,0.10555709,0.09899849,0.088079005,0.073932126,0.058094617,0.042783692,0.03026889,0.021720646,0.016746935,0.014087088,0.012557793,0.0115049565,0.010682941,0.010008725,0.009451851,0.0090017915,0.008648224,0.0083671035,0.008129948,0.007931334,0.007787155,0.0077310433,0.0077771232,0.007911526,0.00808084,0.008227247,0.008301563,0.008285659,0.008172715,0.007973728,0.007707206,0.007417247,0.007149469,0.006940196,0.0067831683,0.006644375,0.006478341,0.0062741004,0.0060612676,0.0058958656,0.005802652,0.0057540108,0.0056813736,0.005532166,0.0052933744,0.0049855686,0.0046352665,0.004262971,0.0038881788,0.0035280113,0.0031984479,0.0029093067,0.0026737426,0.0025100291,0.0024399026]