[0.23684832,0.23863773,0.2409261,0.24026377,0.23445202,0.22485423,0.2147439,0.2074808,0.20386128,0.20284928,0.20231707,0.20036566,0.19564421,0.18687566,0.17339945,0.15559393,0.13697246,0.12311339,0.119425684,0.12649548,0.13949035,0.14994414,0.15157889,0.1437415,0.13284318,0.12795614,0.1358255,0.15654813,0.18464206,0.21236289,0.23364435,0.24545348,0.24750789,0.24120338,0.22925751,0.21545315,0.20399521,0.19734097,0.19501539,0.1937536,0.19048303,0.1839266,0.17527087,0.16642459,0.15939431,0.15564807,0.15588565,0.15935943,0.16388142,0.16778754,0.17215443,0.18124779,0.19915135,0.22504912,0.25258076,0.27361763,0.28472856,0.2874131,0.2852091,0.27888367,0.2678124,0.25221092,0.2347712,0.21833335,0.2044565,0.19419582,0.19017993,0.19638379,0.2152813,0.24465175,0.27784896,0.3066766,0.32559237,0.3326299,0.32855937,0.31443277,0.29128465,0.26083812,0.2266647,0.1938044,0.1668521,0.14797676,0.13624027,0.12893079,0.12427346,0.1236245,0.13213477,0.15457502,0.18974061,0.22591515,0.2462589,0.2385553,0.20462257,0.15773629,0.11441299,0.08534364,0.07451474,0.080913454,0.100592114,0.1264853,0.15031242,0.16630511,0.17357521,0.17500794,0.17359327,0.17055804,0.16567665,0.15891777,0.15157612,0.1456294,0.14274728,0.14270604,0.14425565,0.14612104,0.14844017,0.15153493,0.15482216,0.15677094,0.15728045,0.15962233,0.16877903,0.18766613,0.21369003,0.2408529,0.26338685,0.27898598,0.2870096,0.28580827,0.27161285,0.24182592,0.19957487,0.15559848,0.123949625,0.11496377,0.12928088,0.15957254,0.19520386,0.22870576,0.25550815,0.27323127,0.27981547,0.2760641,0.26568255,0.2529336,0.23901595,0.22214496,0.20227683,0.18400533,0.17617618,0.18520255,0.21087122,0.24344055,0.26953208,0.2776771,0.26569742,0.23965132,0.210684,0.18783623,0.17459196,0.16835935,0.1638896,0.15707777,0.14683332,0.13511334,0.12598702,0.12417837,0.13257219,0.14982082,0.17029034,0.18669347,0.19340642,0.18868397,0.17503135,0.15838268,0.14574392,0.14228827,0.14876436,0.16097713,0.17254323,0.17940886,0.18380417,0.19250123,0.21235208,0.2445604,0.28435567,0.3226092,0.3496705,0.3580549,0.34448913,0.31168044,0.26727924,0.22221403,0.18522018,0.16024499,0.14524464,0.13687694,0.13465784,0.14383022,0.17229037,0.22342093,0.28968272,0.35270858,0.39372465,0.40361586,0.3864758,0.35256127,0.31245002,0.27510667,0.24776341,0.23302044,0.22730948,0.22587748,0.2288621,0.2402062,0.2594727,0.2772731,0.28118512,0.26584747,0.23761217,0.20925851,0.19132435,0.18726589,0.19419844,0.20748179,0.22213916,0.23431577,0.23977198,0.23672318,0.22613299,0.21310616,0.20282519,0.19782485,0.195436,0.19055718,0.17922072,0.1622856,0.14505619,0.13445129,0.13445695,0.1438836,0.15704994,0.16750543,0.17099953,0.1666974,0.15573429,0.14016005,0.12235839,0.10515431,0.09092289,0.0801923,0.07205754,0.066387355,0.06708283,0.080407195,0.10918828,0.14567322,0.17311932,0.17604148,0.15355681,0.12233129,0.107811116,0.12673105,0.17736734,0.23995173,0.2922952,0.32181033,0.33102468,0.3283458,0.32019722,0.30825356,0.29357612,0.2795464,0.26887348,0.2615148,0.2551052,0.25125876,0.25551322,0.2734996,0.30307636,0.3362813,0.36394167,0.3822005,0.39090848,0.3922806,0.3890703,0.38554105,0.385317,0.38891256,0.3909695,0.38287616,0.3566157,0.31178096,0.25694486,0.20805717,0.17841731,0.17154229,0.17861013,0.18631808,0.18578953,0.17742471,0.16867769,0.1677595,0.17870176,0.1988936,0.22163738,0.23999608,0.25044692,0.25313297,0.2501736,0.24390918,0.23614682,0.22837156,0.22157235,0.21582103,0.2096679,0.20131826,0.19061428,0.18127485,0.17849348,0.1855094,0.19966443,0.21507691,0.22605737,0.23097815,0.23097335,0.22804672,0.22334486,0.21742702,0.21129821,0.20606142,0.2024193,0.19923578,0.19454926,0.18662558,0.1757467,0.16390873,0.15465198,0.15250915,0.16162343,0.18184279,0.20547427,0.21942024,0.21383858,0.18920551,0.15584636,0.12534414,0.10381985,0.090403505,0.08149772,0.07421177,0.06808872,0.06392708,0.06229498,0.062290836,0.062248703,0.06093837,0.058662474,0.05644208,0.055137385,0.0545664,0.054195505,0.053563457,0.05286716,0.05255668,0.053079784,0.054289028,0.05526921,0.05444245,0.050324846,0.042548653,0.03233037,0.02200537,0.013664596,0.008223652,0.005277043,0.0039292383,0.0039036684,0.006373512,0.01399491,0.028717965,0.04941258,0.07058806,0.085697144,0.09121666,0.08948639,0.08678206,0.08930915,0.09918687,0.11330106,0.12572768,0.13197498,0.13171239,0.12785958,0.12355343,0.1201838,0.117661096,0.11561901,0.11412028,0.11441948,0.11978209,0.13578604,0.16570395,0.20547754,0.24078548,0.25521237,0.23971955,0.19928145,0.14758201,0.09898582,0.061751883,0.037599754,0.024046002,0.017361796,0.014353805,0.01289785,0.011908787,0.0110258525,0.0103202835,0.00985865,0.009486795,0.008912583,0.007998041,0.00699248,0.0066450853,0.008414903,0.014367767,0.026493778,0.045284268,0.06886739,0.09339628,0.114906855,0.13146739,0.14434169,0.15771197,0.17540622,0.19790728,0.22014982,0.23562133,0.24022786,0.23592293,0.22746496,0.21972805,0.21476574,0.21275282,0.21263702,0.21329993,0.21395545,0.21421015,0.21384567,0.21251635,0.20990944,0.20611568,0.20170814,0.19756936,0.19413523,0.19124365,0.18833452,0.18523204,0.18221205,0.17955907,0.17719162,0.1747517,0.17272769,0.17292453,0.17854631,0.19046487,0.20421515,0.20915572,0.19572432,0.1625177,0.118583925,0.076631226,0.045356233,0.026360286,0.016563127,0.01200701,0.009839811,0.008625119,0.007834468,0.007332761,0.0070590824,0.0068703317,0.006599661,0.006155346,0.005572731,0.0049650175,0.0044134296,0.003942079,0.0035499164,0.0032343082,0.0029909306,0.0027904378,0.0026173217,0.0024713725,0.0023902822,0.0024233942,0.0026098273,0.0028912947,0.0030916955,0.0029875583,0.002512588,0.0018535386,0.001421464,0.0016204752,0.0026213443,0.004142569,0.0055836835,0.006400947,0.006650526,0.0070038196,0.008649786,0.013618097,0.025429895,0.048592318,0.08491087,0.1300957,0.17336582,0.2039025,0.21671152,0.21514863,0.20652385,0.19791704,0.19374299,0.19568455,0.20306098,0.21282218,0.22256999,0.23222393,0.24588835,0.26625404,0.29113448,0.31041852,0.31383285,0.29743907,0.26797566,0.23688044,0.2135066,0.20161374,0.20073342,0.2087493,0.22140296,0.23283003,0.23682988,0.23085783,0.21732324,0.20242292,0.19220044,0.18948059,0.19319384,0.20018463,0.20790116,0.21561556,0.22443013,0.23610193,0.25219324,0.27293873,0.2965624,0.31997743,0.34010506,0.35582355,0.36668387,0.37211022,0.36953166,0.35720155,0.33535853,0.30818865,0.28072146,0.2574131,0.2400813,0.22906488,0.2232046,0.2204742,0.21851952,0.21614142,0.21415822,0.21436901,0.21787484,0.22436155,0.2330997,0.24389678,0.256196,0.2680217,0.27548173,0.27540788,0.267409,0.25572845,0.24642342,0.24402826,0.24779129,0.2537167,0.25824025,0.26184115,0.26673135,0.27298772,0.27637342,0.27148438,0.2561668,0.23303384,0.20716059,0.18280292,0.16277365,0.14911617,0.14333184,0.14468628,0.1488765,0.14931168,0.14029224,0.12160813,0.09990103,0.08773923,0.0957162,0.12547676,0.16519623,0.19657469,0.20490694,0.18800037,0.15580602,0.12405457,0.10494482,0.100759186,0.10367447,0.102911256,0.09313199,0.07883065,0.07090134,0.079770915,0.10847082,0.15073271,0.19428779,0.22816975,0.247348,0.25286168,0.24794024,0.23590241,0.21944563,0.20044832,0.17911017,0.15534115,0.13226703,0.11800125,0.12093993,0.14269038,0.17485605,0.20501272,0.22414404,0.23068023,0.22756685,0.21924555,0.20962717,0.20224504,0.19899201,0.19950531,0.20115411,0.20183645,0.20239724,0.20696492,0.21882086,0.23563854,0.24917267,0.25120604,0.23988426,0.22018649,0.19826663,0.17757972,0.15942773,0.14615427,0.13998252,0.13971741,0.1393453,0.13268882,0.119309925,0.106395,0.103027016,0.11337715,0.13317366,0.15451276,0.1710817,0.18158753,0.18727203,0.18981205,0.1903876,0.19061832,0.19285382,0.19897413,0.20969476,0.2238289,0.23949707,0.25352892,0.26320592,0.2661069,0.2629508,0.2557332,0.24724579,0.238118,0.22823004,0.21771945,0.20827484,0.20173717,0.19793408,0.19403112,0.18656676,0.17505835,0.16351302,0.15824504,0.1631534,0.17661928,0.19199677,0.20225453,0.20393969,0.19929977,0.1931746,0.19010232,0.1909424,0.19422542,0.19704014,0.19773205,0.1961651,0.19492345,0.19844975,0.21036847,0.22958434,0.24844415,0.25701967,0.2489587,0.22605802,0.19630586,0.16964085,0.15294516,0.1478617,0.15120882,0.1577679,0.16350389,0.16691893,0.16898161,0.17234892,0.18114316,0.1983142,0.22289789,0.2481441,0.2661445,0.27244738,0.26870146,0.2585092,0.24432655,0.2264244,0.20522106,0.1818208,0.15757026,0.13386905,0.11384728,0.10327324,0.10889876,0.13345702,0.17298956,0.21708126,0.25540337,0.28160486,0.2961204,0.30236533,0.30449808,0.30494118,0.30514276,0.30613324,0.30816638,0.31037164,0.3100008,0.30429718,0.29158196,0.27274463,0.25030717,0.22745967,0.20658667,0.18870412,0.17390956,0.1626799,0.15660165,0.15709573,0.16309188,0.17089242,0.17713362,0.18276708,0.1922739,0.20849179,0.22711027,0.23835117,0.23459925,0.21679966,0.19336517,0.1728798,0.15910496,0.15082198,0.1456647,0.14209145,0.13961184,0.1378063,0.13584216,0.13235834,0.12536775,0.113714285,0.09891955,0.08638408,0.0826473,0.09051901,0.106476106,0.12284454,0.13373756,0.13772571,0.13713412,0.13415445,0.12941065,0.12259028,0.114670575,0.109084375,0.11021909,0.11992953,0.13509391,0.14889748,0.15599257,0.15576476,0.15209168,0.14899588,0.1481946,0.14913563,0.15106069,0.15386851,0.1571493,0.15935749,0.1579731,0.15154065,0.14086294,0.12902156,0.11926667,0.113348484,0.11083016,0.110176064,0.10989424,0.10927568,0.108256586,0.10710957,0.10608014,0.1052685,0.10462526,0.105075836,0.10914254,0.12096852,0.1410827,0.16322935,0.17373525,0.16233361,0.12918703,0.08703825,0.05007309,0.026228944,0.01429313,0.0094870655,0.007615343,0.0067867064,0.0063688103,0.006087059,0.005744346,0.0052460805,0.0046466193,0.0040349877,0.0034756458,0.0029885632,0.0025838942,0.0022720147,0.0020284639,0.0018212735,0.0016162199,0.0014291612,0.0012791326,0.001201102,0.001252222,0.0015447242,0.002183615,0.0030662855,0.003855807,0.004102319,0.0036655061,0.0027653566,0.0022402953,0.003701697,0.009856817,0.023014845,0.042793322,0.06443505,0.08113582,0.08816422,0.0863302,0.081161074,0.0803326,0.08900807,0.10738826,0.12928389,0.1467398,0.15446015,0.15346871,0.14812766,0.14273103,0.13885051,0.13630879,0.1345153,0.13333617,0.13299294,0.13475321,0.14156617,0.15802248,0.1852752,0.2171423,0.24003494,0.24321468,0.22653353,0.20084684,0.1780728,0.16379483,0.15675068,0.1534048,0.1511781,0.14890184,0.14636303,0.1441562,0.14304906,0.14324318,0.14383769,0.14343302,0.14088269,0.13569728,0.12786508,0.117706664,0.10605957,0.094436735,0.08445486,0.07687625,0.0710091,0.06558109,0.06009078,0.05631901,0.058269847,0.07096238,0.09662429,0.13201863,0.16836007,0.19681431,0.21315165,0.21928294,0.21934183,0.2167309,0.21293741,0.20881093,0.20483065,0.201187,0.19760567,0.19373834,0.18946682,0.18495679,0.18066734,0.1770091,0.17423815,0.17222972,0.17063008,0.16894011,0.16681731,0.16419138,0.1612836,0.15830655,0.15540503,0.15264373,0.15003681,0.14740807,0.14425667,0.14009668,0.13475877,0.12874125,0.1228526,0.117766745,0.113598116,0.1100218,0.10670948,0.10360351,0.10089629,0.09873854,0.09704402,0.09552363,0.093847126,0.09188786,0.08971562,0.08755345,0.08558952,0.083952226,0.08261771,0.08147345,0.08032537,0.07907126,0.07769028,0.0762886,0.07494674,0.07369518,0.07245203,0.071149595,0.06979677,0.06852314,0.067427434,0.06654579,0.065780915,0.06503566,0.06419846,0.063314795,0.062591545,0.0625887,0.064147584,0.06846922,0.07639736,0.08755075,0.09909519,0.1065226,0.10600424,0.09838176,0.090514176,0.09336978,0.114782,0.15401576,0.19947727,0.235973,0.25176373,0.24520294,0.22233206,0.1936639,0.16794251,0.14982855,0.13835388,0.12984549,0.12075269,0.11070198,0.102504455,0.10159981,0.11277205,0.1368565,0.16797994,0.19640116,0.21394075,0.2187814,0.21501745,0.20886786,0.20468478,0.20290498,0.2007838,0.19516696,0.18563645,0.17567517,0.17062853,0.17390645,0.18398602,0.19407968,0.19552702,0.18227935,0.15479924,0.12014986,0.08920834,0.07147429,0.070527196,0.08292168,0.100937605,0.1201821,0.1440553,0.18598889,0.2574537,0.35806355,0.46595705,0.55121964,0.59122086,0.5848653,0.547641,0.49904454,0.45343757,0.4157358,0.38573435,0.35931334,0.33385646,0.30957195,0.28968,0.27762672,0.27415323,0.279093,0.29144713,0.30994496,0.32961872,0.34273425,0.34230277,0.32722124,0.3035752,0.28064343,0.26568672,0.26078892,0.26334405,0.26990756,0.2785306,0.2916088,0.3107686,0.33513156,0.35716346,0.37048277,0.37120238,0.36081955,0.33902454,0.3047762,0.25806662,0.20558952,0.15864033,0.12720032,0.11360722,0.11204346,0.113697916,0.113339305,0.112161376,0.11604314,0.12957168,0.15246032,0.17847146,0.20072554,0.21597974,0.22877914,0.24969237,0.29198515,0.3610368,0.44785175,0.5264886,0.57247,0.5777293,0.56163734,0.54983646,0.55705005,0.5711736,0.57091755,0.53825086,0.47436616,0.39060327,0.3052009,0.23324142,0.18578084,0.16457538,0.16169061,0.16668697,0.17698008,0.20714425,0.27658173,0.3914559,0.52498466,0.6299407,0.6644872,0.6226661,0.53345376,0.43928495,0.3682288,0.32549027,0.30279246,0.29193783,0.28906143,0.2925786,0.30058518,0.31338716,0.33153817,0.35252512,0.36717978,0.3654823,0.34410092,0.3092316,0.27134237,0.23808004,0.21241039,0.19476049,0.18619199,0.18801947,0.19901033,0.21380799,0.22485669,0.2276209,0.2227081,0.21463467,0.20750614,0.20353241,0.20274933,0.20399754,0.20509906,0.20436825,0.2022102,0.20113957,0.20326404,0.20787404,0.21255566,0.21849917,0.23548067,0.28031778,0.3624892,0.46990204,0.5655444,0.612792,0.5982451,0.54339415,0.48004457,0.4322721,0.40356135,0.38919583,0.38174936,0.37642726,0.3687576,0.35639516,0.34056124,0.32578287,0.31692946,0.31673473,0.32494903,0.33934328,0.35554576,0.36890697,0.37610242,0.37771964,0.3767939,0.37666607,0.37793407,0.37849486,0.37559497,0.36892316,0.36239687,0.3610061,0.3667786,0.37547743,0.37988997,0.37444055,0.35882625,0.33706602,0.31418693,0.2933815,0.27521908,0.25982776,0.24830723,0.24167825,0.23716599,0.2281095,0.2083789,0.17855738,0.14667697,0.12364306,0.11685494,0.12698792,0.14824887,0.17172915,0.19149195,0.21062636,0.24421287,0.30813488,0.40470448,0.50807405,0.5808243,0.59717315,0.5718196,0.5430145,0.54551584,0.57381123,0.59534,0.5747799,0.50866693,0.41817513,0.33331528,0.26898286,0.22651319,0.19968222,0.18464983,0.17909253,0.18365689,0.20384155,0.25423774,0.34473893,0.46659216,0.5801594,0.6430726,0.6331692,0.570597,0.49022958,0.4231294,0.37539372,0.34299377,0.31882152,0.30225608,0.29332164,0.29232085,0.29940513,0.31639254,0.3420758,0.3682793,0.38064656,0.36896327,0.3341531,0.28813377,0.24441688,0.21175574,0.19274922,0.18689795,0.19249578,0.20624787,0.22315907,0.23781289,0.2472471,0.2520497,0.25451502,0.25549605,0.2527136,0.24309005,0.22616895,0.20609204,0.18894021,0.1783265,0.17265564,0.16689222,0.15659632,0.14112845,0.12572597,0.12270063,0.15204452,0.23029459,0.35559574,0.4934208,0.5943187,0.62159723,0.5793633,0.50077856,0.42444244,0.37002376,0.33931205,0.3251444,0.32086277,0.32181513,0.32468343,0.3267735,0.32739642,0.3275287,0.3289553,0.3318332,0.3350705,0.33723664,0.33791694,0.33748022,0.33624682,0.33401072,0.32981157,0.32306695,0.31436992,0.3062102,0.30229792,0.30653584,0.32098436,0.34201774,0.35829568,0.35362807,0.31780156,0.25462535,0.18154852,0.11776162,0.07396713,0.049405858,0.037498623,0.031714085,0.028327376,0.025963224,0.024878182,0.026858835,0.0352439,0.05272303,0.078384526,0.1055001,0.12494928,0.13054843,0.12351841,0.11118414,0.105968334,0.12526101,0.18935604,0.3060236,0.45408726,0.5825429,0.6446462,0.6335276,0.59159416,0.57115453,0.5917532,0.624825,0.62481445,0.5660004,0.4601259,0.34006605,0.23754038,0.16784637,0.13185214,0.12092263,0.12358572,0.13199447,0.14897351,0.19121921,0.27493182,0.39937195,0.5316685,0.6272053,0.65234995,0.61171156,0.53402144,0.4559792,0.39665067,0.36060002,0.34129882,0.3326635,0.32919958,0.3287275,0.33160856,0.34192392,0.36162683,0.3871596,0.40695465,0.41135323,0.3980473,0.37558904,0.3537251,0.33849153,0.32830915,0.31851915,0.3021544,0.2746483,0.23409717,0.18612473,0.13971028,0.10646474,0.093919076,0.10623747,0.14092305,0.19033813,0.2414285,0.2804084,0.29623547,0.28580415,0.25521663,0.21886802,0.19110471,0.17855155,0.17671765,0.1795165,0.19111621,0.2298987,0.31218463,0.43092737,0.54834104,0.61927843,0.62244844,0.57507795,0.5138282,0.46750334,0.44180235,0.42788887,0.4155922,0.4020803,0.38824475,0.37644184,0.36634007,0.35914278,0.3551211,0.35632685,0.36142945,0.36767232,0.37035313,0.3666768,0.3576915,0.34635887,0.33685014,0.3309344,0.33008718,0.33363366,0.34023353,0.34817162,0.35795036,0.37102684,0.38565794,0.39400336,0.38673744,0.3604168,0.32113934,0.27926645,0.24270324,0.21381265,0.19148779,0.17402919,0.15961017,0.14611953,0.13152707,0.116253704,0.10366583,0.09841416,0.10254747,0.11451697,0.13014913,0.14535023,0.15633248,0.1601619,0.15792102,0.15933906,0.18497044,0.2527666,0.36270404,0.4830184,0.5709933,0.5988965,0.5820889,0.55932516,0.56372684,0.58854204,0.60202426,0.57282287,0.5009751,0.40925267,0.32704648,0.26884153,0.23538417,0.21791734,0.20761539,0.198035,0.19059204,0.19630079,0.23658812,0.32634854,0.4583682,0.59050155,0.6708233,0.6663024,0.59051865,0.48702466,0.4018413,0.35382292,0.3363327,0.33162144,0.3282841,0.32384074,0.32130992,0.32440343,0.33645627,0.35780004,0.38286567,0.40174082,0.40648627,0.3979573,0.3839238,0.3728545,0.36680865,0.362143,0.3535224,0.33951822,0.3232387,0.3093864,0.29994088,0.29353645,0.28801608,0.28411952,0.28460276,0.29171547,0.30318233,0.31312895,0.31469536,0.3045884,0.28518808,0.26285973,0.24339719,0.22656584,0.20707442,0.17965539,0.14584287,0.11400554,0.095173895,0.09781194,0.123720475,0.16692473,0.21420471,0.25237656,0.27359834,0.27848563,0.27177563,0.26001897,0.24966484,0.24589647,0.24919908,0.2544007,0.25453737,0.24646324,0.23351991,0.2226563,0.22012383,0.2269841,0.23809767,0.2438177,0.2359765,0.21313865,0.18205662,0.1532952,0.13580243,0.13325138,0.14350574,0.15894789,0.16907646,0.16554911,0.14760284,0.12295893,0.10245345,0.093512125,0.09691852,0.108489454,0.12218354,0.1328697,0.1381818,0.13867044,0.13658154,0.1335104,0.1298709,0.12537028,0.1202535,0.11509922,0.11055247,0.10700622,0.10505796,0.10533521,0.108420886,0.114173,0.121993996,0.13012737,0.13611372,0.13702597,0.13160576,0.12096354,0.10827926,0.09653747,0.08706096,0.0792599,0.071715884,0.06347095,0.0545917,0.04590777,0.038040053,0.03139797,0.027112462,0.028360888,0.03938802,0.062252965,0.093828104,0.126153,0.15119578,0.16506137,0.1696852,0.16953349,0.1687981,0.16914272,0.17057307,0.17167014,0.17047419,0.16481358,0.15436986,0.1417755,0.13230054,0.12978381,0.13358773,0.1382671,0.13850068,0.13367839,0.12985663,0.13638745,0.16042016,0.20127904,0.24969365,0.29234746,0.3203714,0.33318588,0.33606684,0.33339676,0.32562503,0.3114197,0.29097483,0.26801887,0.24724065,0.23219144,0.22261016,0.2159907,0.20950888,0.20225924,0.19474183,0.18798323,0.18297996,0.1810851,0.1838067,0.19301985,0.21020555,0.23596156,0.26756498,0.29968813,0.32806322,0.35650003,0.39746776,0.46100894,0.53986526,0.60473394,0.6242054,0.58752966,0.51591647,0.4430108,0.393556,0.3709844,0.36695406,0.37268254,0.38386893,0.39824292,0.4119476,0.42135015,0.42517456,0.42536283,0.42440104,0.42242172,0.41743612,0.4075755,0.39324665,0.3774555,0.3632791,0.35324404,0.3475499,0.3457972,0.3462635,0.34807685,0.35178682,0.36028704,0.37526655,0.39258742,0.4005891,0.38653716,0.34529364,0.2842156,0.2178253,0.16066568,0.12158271,0.10440355,0.108759105,0.1303897,0.16102952,0.19038717,0.21126755,0.22228622,0.22774912,0.23204736,0.2366379,0.23873691,0.2354571,0.22619241,0.21425813,0.20648904,0.21290694,0.24763258,0.31967875,0.4243922,0.531413,0.6034321,0.61723495,0.5910358,0.56412053,0.5690575,0.59726113,0.61567694,0.59319186,0.53139096,0.45390543,0.3881109,0.34352347,0.31471428,0.28853548,0.2566515,0.2187493,0.18615055,0.17740683,0.21437375,0.3056259,0.43802854,0.5702862,0.65703994,0.6697797,0.61867166,0.5375733,0.46400893,0.41537842,0.38965166,0.37506306,0.3629221,0.3511653,0.34320852,0.3437306,0.35664424,0.37932375,0.4024271,0.41091037,0.3954024,0.35693404,0.30801404,0.26266906,0.23056404,0.21372914,0.20924367,0.21121977,0.21336134,0.21116091,0.20347746,0.19269788,0.18303345,0.1787224,0.18172121,0.19088812,0.20226169,0.21101947,0.2131439,0.20673065,0.19315593,0.17757016,0.16704684,0.1663511,0.17424715,0.18650562,0.20313843,0.23580231,0.29948547,0.39722666,0.5049316,0.58383924,0.60403776,0.5677746,0.50222534,0.44032487,0.39930823,0.37966904,0.37167206,0.366802,0.36076954,0.3538367,0.34736177,0.34301427,0.3425298,0.34813252,0.36095014,0.3792297,0.39779755,0.4106408,0.41450217,0.41006014,0.40057138,0.388665,0.37662625,0.36603191,0.35919598,0.3573736,0.36197296,0.3730637,0.38775674,0.39750192,0.39094305,0.3623637,0.31690285,0.26822492,0.22849308,0.2032506,0.19223869,0.19405214,0.20688553,0.2267416,0.24667351,0.25964043,0.26167402,0.25340953,0.23789643,0.21930432,0.20053954,0.18366261,0.16869397,0.15536891,0.14449094,0.14219403,0.16168457,0.2190712,0.3193412,0.44331083,0.5501186,0.60357195,0.59988016,0.573262,0.56520754,0.5893783,0.6190812,0.61424774,0.55432135,0.4532473,0.3422757,0.24874191,0.18372296,0.14696057,0.1314285,0.1275927,0.12713239,0.1313206,0.15729518,0.22641332,0.34467235,0.4822557,0.59034127,0.6285166,0.59685993,0.5264246,0.4571102,0.41082883,0.38886547,0.38164023,0.37901554,0.3764123,0.37313485,0.37258795,0.37902,0.39364398,0.4119443,0.42390928,0.42223588,0.40560266,0.3813022,0.35812363,0.3433528,0.3378335,0.33809236,0.3376287,0.33222738,0.32090488,0.30557922,0.2868282,0.26371926,0.23628692,0.20911221,0.18961783,0.18226804,0.18451591,0.18806076,0.18494718,0.17257674,0.15576027,0.14376773,0.14468206,0.15982585,0.18372929,0.21106406,0.2451315,0.29898098,0.38177875,0.48318958,0.56836957,0.6016399,0.5711033,0.5009019,0.42696127,0.37495422,0.34737372,0.33708248,0.33582976,0.33975068,0.3455467,0.3509232,0.35463193,0.35673094,0.3575356,0.3567849,0.35431245,0.3500835,0.34472296,0.33848807,0.33162794,0.3244256,0.31823042,0.31476548,0.3151507,0.3188318,0.3246374,0.33245537,0.3444612,0.3614699,0.379177,0.38599238,0.3709912,0.33124486,0.27622297,0.22014816,0.17499776,0.14518319,0.12974225,0.12405153,0.12267685,0.120473355,0.11486918,0.10646177,0.09935214,0.09856313,0.10739017,0.12417259,0.1436104,0.15951906,0.16912532,0.17246532,0.17352803,0.18056571,0.2111619,0.28183782,0.395115,0.52020586,0.6115884,0.6356959,0.6075551,0.5716366,0.5697455,0.59650016,0.6146341,0.5834282,0.49915853,0.3861339,0.27972487,0.19897266,0.14756551,0.11686161,0.09735534,0.08199179,0.07316517,0.083681725,0.13573186,0.24253917,0.39423776,0.547154,0.650307,0.6700292,0.6155367,0.5216215,0.42956892,0.36168197,0.3230283,0.30601534,0.3017644,0.30330607,0.30877143,0.32057416,0.34254476,0.37369525,0.40533003,0.42424205,0.42193723,0.39992878,0.36795864,0.33497193,0.30294028,0.2681276,0.22867781,0.19037491,0.16330758,0.15353237,0.15773927,0.16706657,0.17473145,0.17930187,0.18244338,0.18474711,0.18570484,0.18504383,0.18416776,0.18435591,0.18529648,0.18456592,0.17955576,0.16963108,0.15673216,0.14653039,0.14919473,0.1822036,0.2605981,0.3835151,0.5178676,0.6145778,0.63650614,0.58960086,0.51170784,0.44499663,0.40683356,0.39099476,0.3829472,0.37351838,0.3625468,0.3525373,0.34653494,0.34421048,0.34537032,0.34904936,0.3553314,0.36314496,0.36979762,0.37183282,0.36672306,0.35531652,0.34131563,0.32921025,0.32271767,0.32211497,0.3265775,0.33334517,0.34282362,0.35617974,0.37395132,0.3890034,0.38805747,0.35932872,0.30271345,0.23160428,0.1642685,0.11350796,0.081930816,0.064954765,0.056145165,0.050702777,0.04628818,0.042592447,0.041073862,0.044864908,0.05701731,0.07816402,0.104011975,0.1271733,0.1405016,0.14140739,0.13289295,0.12541978,0.1374044,0.19162679,0.29830864,0.4387697,0.5639135,0.6275413,0.62036514,0.5822155,0.563309,0.58396417,0.6159066,0.6148583,0.555585,0.45116088,0.33426347,0.23542653,0.16796182,0.13085347,0.114064164,0.10530899,0.09784546,0.097390704,0.12537943,0.2036885,0.33628392,0.49085104,0.6160887,0.6688595,0.6455211,0.5732754,0.4895949,0.4172717,0.36551178,0.33445835,0.3227445,0.32468715,0.33509538,0.35033178,0.3728167,0.40379718,0.44023848,0.47201553,0.48943833,0.48880875,0.47450873,0.45425102,0.43430188,0.4179857,0.4070193,0.40215588,0.40321282,0.4076937,0.41168654,0.40962842,0.39680043,0.3711287,0.3356521,0.2977867,0.2653061,0.24300848,0.23066445,0.22602572,0.22685294,0.23392187,0.24928522,0.27417943,0.3054628,0.337131,0.36533916,0.3939688,0.43408707,0.4927976,0.562012,0.61498487,0.6243022,0.5814166,0.5072728,0.43526602,0.39009294,0.373757,0.37342945,0.37480462,0.37106362,0.3627206,0.3524152,0.34367576,0.33922994,0.34208307,0.35213566,0.3663108,0.37947372,0.3884618,0.3928466,0.39353272,0.39056155,0.38456595,0.37761447,0.37358263,0.3739306,0.37770775,0.38237035,0.38791057,0.3950098,0.40214047,0.4028199,0.38954708,0.359237,0.3161933,0.26914582,0.2265275,0.19352852,0.17201482,0.16111921,0.15766568,0.15644515,0.15201056,0.14146827,0.12780896,0.120312564,0.12976974,0.16044998,0.20436613,0.244657,0.2645707,0.2569154,0.22879644,0.20130248,0.20578438,0.26617596,0.38193285,0.51356596,0.6078411,0.6296913,0.59643054,0.5560543,0.55172104,0.5804904,0.6072848,0.5948275,0.5381202,0.45736977,0.37950063,0.31796035,0.27475852,0.24607019,0.2275672,0.21330963,0.20099853,0.19833939,0.22706163,0.3041495,0.42330852,0.5432554,0.61675227,0.6172413,0.5595475,0.47797072,0.40611228,0.35718134,0.33022484,0.31716803,0.311725,0.3103175,0.31206048,0.31905547,0.33390412,0.35509837,0.37275326,0.37365425,0.35161352,0.31270066,0.26961684,0.23088105,0.19819261,0.17098977,0.15235181,0.14616694,0.15126313,0.15830094,0.15651526,0.14210312,0.12261859,0.1107407,0.115555696,0.13642418,0.1652671,0.19211632,0.21019518,0.21745133,0.21618946,0.21181746,0.21097557,0.21844746,0.23491783,0.25758258,0.2848675,0.32201457,0.37838933,0.45759758,0.5431997,0.60454506,0.6135071,0.56947154,0.4953917,0.4230174,0.36919966,0.33619967,0.31688634,0.30584493,0.29920888,0.29563162,0.2944661,0.2970476,0.30465075,0.31737176,0.33217922,0.344502,0.35049415,0.34946445,0.34351113,0.33589378,0.32906273,0.3242736,0.32149494,0.32053384,0.32087743,0.32335114,0.3301793,0.34517586,0.36785313,0.3901949,0.39734772,0.3793755,0.33806038,0.28644636,0.23758604,0.19893576,0.17260648,0.15984534,0.16110802,0.17386802,0.19195676,0.20846266,0.21994019,0.22883666,0.24202144,0.26578638,0.29937133,0.33403817,0.35749307,0.36285946,0.3516576,0.3347595,0.32867488,0.35217068,0.41329083,0.49796835,0.5688788,0.5920119,0.5640793,0.52224714,0.5094145,0.5401868,0.58419853,0.59956723,0.5632001,0.48944902,0.40840945,0.34632078,0.31023768,0.2948269,0.2896479,0.28787768,0.28778568,0.29364988,0.3146803,0.35982168,0.43000022,0.50831443,0.56670725,0.5806914,0.54854107,0.4896226,0.43001208,0.38665226,0.3623469,0.35250297,0.3495965,0.34851885,0.3467413,0.34655347,0.35328722,0.37006927,0.39268935,0.4080819,0.40311584,0.37256923,0.32340482,0.26857063,0.22021462,0.18482886,0.16324928,0.15231091,0.14748202,0.14466475,0.14153282,0.1369267,0.13179243,0.1286643,0.13208728,0.1450276,0.16689385,0.19205146,0.21323086,0.22523813,0.2272643,0.22201914,0.21282952,0.20209788,0.19054651,0.17920117,0.17304106,0.18482773,0.23289621,0.32624057,0.4488975,0.55749065,0.6075563,0.5820639,0.5034291,0.41180313,0.33969983,0.2972844,0.27897716,0.27409938,0.27474955,0.27725467,0.2804302,0.28394222,0.28760126,0.2916346,0.29669413,0.30260122,0.30842808,0.31260112,0.31454328,0.31459084,0.31394267,0.31356192,0.3137648,0.31437778,0.31540692,0.31798455,0.32418323,0.33624244,0.35317075,0.36817482,0.3687167,0.3435065,0.29079005,0.22128107,0.15235183,0.097825915,0.06274254,0.043790203,0.034857195,0.030564385,0.028075784,0.0266298,0.027460987,0.03363222,0.048005212,0.07032508,0.094991036,0.113908835,0.12112299,0.11672143,0.10507374,0.09391466,0.09439654,0.12536113,0.20354943,0.32960334,0.46969655,0.5744445,0.60867876,0.5880639,0.5596628,0.56642896,0.60309947,0.63036853,0.6052409,0.52047485,0.39975438,0.2808953,0.19007464,0.13867109,0.12456643,0.13955458,0.17066194,0.20693164,0.24545865,0.29731444,0.37445664,0.47406054,0.564302,0.60676223,0.5815327,0.50969833,0.430447,0.37647942,0.35332528,0.35159326,0.35874823,0.36788213,0.3752251,0.3803327,0.38619033,0.39666656,0.41182032,0.42466795,0.4265394,0.41311595,0.38966537,0.36616576,0.350552,0.34278587,0.33614883,0.32372117,0.30302534,0.2780858,0.2542722,0.23591928,0.22338307,0.21554644,0.20972766,0.20346701,0.19462956,0.18288356,0.16908914,0.15461753,0.14027105,0.1264839,0.11348185,0.10145598,0.09067548,0.081292994,0.07582467,0.08196613,0.11689594,0.19740455,0.32567498,0.47055244,0.58145446,0.61479765,0.5693498,0.48095265,0.39822924,0.34784046,0.32926098,0.32590163,0.3244479,0.3206533,0.31760064,0.3186735,0.32495213,0.33436176,0.34328043,0.34880936,0.34982446,0.34819308,0.346269,0.346091,0.3475839,0.34945247,0.35023358,0.34900138,0.34677306,0.34521112,0.34741905,0.35605097,0.37288833,0.39510632,0.41432497,0.41917098,0.40189657,0.36314598,0.31052047,0.2544568,0.20396696,0.16570665,0.14241214,0.13285019,0.13221781,0.13500817,0.13734601,0.13847472,0.14054547,0.14672458,0.1588943,0.17513543,0.19086027,0.2008316,0.20324986,0.19979821,0.19742157,0.20810771,0.24892859,0.32966992,0.43905059,0.53926945,0.591345,0.5858496,0.5565483,0.54772455,0.57606786,0.6121848,0.6121855,0.5514894,0.4451878,0.327604,0.23182267,0.17134131,0.14378852,0.13488357,0.12902132,0.118068434,0.10918474,0.1247282,0.18592618,0.29585662,0.4260911,0.53323585,0.5810321,0.56448543,0.5044283,0.43307558,0.37386215,0.33644974,0.31834927,0.31112334,0.3051852,0.29440698,0.28143695,0.2775608,0.29501948,0.33440456,0.3809993,0.4149078,0.42575014,0.4181038,0.40358517,0.39098862,0.38225862,0.3760387,0.37099293,0.36765194,0.3666261,0.36848566,0.37281466,0.3798881,0.38963196,0.40127254,0.41118237,0.4146631,0.40795127,0.39188692,0.37106624,0.35246304,0.3413068,0.3397565,0.3452617,0.35252488,0.35554323,0.3513126,0.3404769,0.32741275,0.31802103,0.31769392,0.32745337,0.34212974,0.35255846,0.3513932,0.33819807,0.31810403,0.29709545,0.2764969,0.254314,0.22907968,0.2037052,0.18313503,0.17120409,0.16959071,0.17991953,0.20282912,0.23509319,0.26725486,0.28801253,0.2892699,0.27068883,0.23844588,0.20290266,0.174187,0.15863831,0.15680055,0.16460526,0.17726642,0.19245853,0.21050674,0.23134454,0.25207698,0.26765475,0.27435133,0.27208793,0.26390693,0.25302425,0.24073823,0.22693698,0.2123829,0.20003681,0.19291598,0.19122238,0.19175212,0.19106358,0.18843134,0.1859917,0.18638654,0.19052756,0.19705094,0.20328651,0.20701718,0.20782034,0.20706491,0.20663778,0.20728733,0.2082231,0.20769787,0.20467322,0.19905822,0.19148465,0.1820336,0.17115588,0.16084161,0.15516895,0.15713046,0.16502704,0.17214073,0.17201044,0.16418116,0.15498944,0.1517816,0.15695722,0.16669364,0.17540516,0.18013948,0.18160848,0.18255645,0.1859331,0.1949964,0.21082103,0.23092206,0.24716294,0.25101537,0.2377813,0.21153982,0.18221928,0.16131473,0.15488009,0.16165428,0.17456065,0.18721975,0.19720756,0.20604013,0.21457136,0.22124271,0.2232516,0.21951817,0.21161932,0.20215191,0.19369857,0.18851934,0.18963718,0.1992694,0.21706069,0.23806357,0.25525606,0.26264992,0.2583867,0.24435343,0.2251513,0.20651728,0.1935149,0.18833888,0.18925886,0.19175428,0.19159983,0.18746252,0.18193777,0.17927082,0.1817971,0.18736003,0.19117089,0.1901353,0.18660033,0.18657689,0.19557317,0.21391511,0.23756015,0.26067665,0.27946627,0.2926841,0.30107018,0.30565086,0.3066982,0.3031764,0.29335544,0.27632156,0.2537143,0.22980393,0.20978057,0.19716586,0.19310458,0.196845,0.20645535,0.21828128,0.22769193,0.23134123,0.22962146,0.22588062,0.22345488,0.22285275,0.22192405,0.21832816,0.21276455,0.21008296,0.2154883,0.22921002,0.2445039,0.2535447,0.25400126,0.25005984,0.24710454,0.24694544,0.2476362,0.24617888,0.24080546,0.23249616,0.22351862,0.21540372,0.20558512,0.18948269,0.1644678,0.13465692,0.10922948,0.09720341,0.10150636,0.11794931,0.13838808,0.15553021,0.16572817,0.16898678,0.16752096,0.16440643,0.1630237,0.16599834,0.17373376,0.18278396,0.18662243,0.17939739,0.160778,0.1380128,0.12160748,0.11859334,0.12752657,0.1406729,0.14918567,0.14840536,0.1394685,0.12802927,0.120967396,0.121711195,0.1279236,0.13234073,0.12884234,0.11775512,0.107779436,0.109770745,0.12884207,0.15928327,0.18857409,0.20438625,0.20062262,0.17866115,0.14647286,0.1158565,0.09711277,0.09430445,0.10346144,0.11640219,0.124562,0.123488374,0.11442966,0.10541084,0.10536029,0.11782513,0.13655773,0.15101965,0.15410878,0.14766358,0.1402303,0.14068419,0.15254752,0.17237557,0.19350374,0.21024936,0.22055028,0.22481632,0.22448051,0.22099917,0.21579807,0.21031816,0.20569824,0.20246263,0.19975704,0.19499294,0.18482237,0.16792,0.14784671,0.13268279,0.12996525,0.14085372,0.15869941,0.17496096,0.18587977,0.19422114,0.20385396,0.21456951,0.22186811,0.22138686,0.21226048,0.19690587,0.17877585,0.16075645,0.14476205,0.13164319,0.121361844,0.113440715,0.10782989,0.10531194,0.10685468,0.112387925,0.11978817,0.1257645,0.12754269,0.124433696,0.11787484,0.11054706,0.105077334,0.10367719,0.10859839,0.12353653,0.15029246,0.18435587,0.21198802,0.21922432,0.20240949,0.17238437,0.14466897,0.12834264,0.12258499,0.12186107,0.12180153,0.12087777,0.119308084,0.11745792,0.11539877,0.11303183,0.1109354,0.11049352,0.11355355,0.12073449,0.13045909,0.13898183,0.1426215,0.14013167,0.13323149,0.12485566,0.11653462,0.10821632,0.09936217,0.09056887,0.08291636,0.07708355,0.07266152,0.068997234,0.06579196,0.063306734,0.0615985,0.060287256,0.05848789,0.055836182,0.053262338,0.05377078,0.061546993,0.07925188,0.10542669,0.13376874,0.15689208,0.16980477,0.17238997,0.16766322,0.15991539,0.15254296,0.14715867,0.1437534,0.14171499,0.14094724,0.14154153,0.14263622,0.1422543,0.13828574,0.13067226,0.122026205,0.11716574,0.12046158,0.13344611,0.15349366,0.17535888,0.194214,0.20797849,0.21707161,0.22228725,0.22295533,0.21715023,0.20290524,0.18041301,0.1521241,0.12266013,0.09605839,0.0755179,0.06303039,0.061003853,0.070815764,0.091031395,0.11595484,0.13763756,0.14936489,0.14852922,0.13755189,0.12255915,0.11068317,0.10591226,0.10706577,0.10929557,0.10956448,0.11046142,0.11904054,0.14065374,0.17374747,0.2096541,0.23840326,0.25440386,0.25877973,0.2555125,0.24748933,0.23447575,0.21543713,0.19101423,0.16425073,0.13924171,0.118866175,0.10383118,0.093127936,0.085917704,0.08298489,0.08567936,0.09382481,0.10408002,0.11198843,0.11454564,0.111967824,0.106724225,0.10206228,0.10026857,0.10125936,0.10349824,0.107237004,0.11711347,0.13770545,0.1666552,0.19296537,0.20637865,0.20613985,0.2007464,0.19834225,0.20050657,0.20368211,0.2038682,0.198608,0.18618089,0.16665067,0.14316802,0.12183849,0.1079432,0.10308828,0.1049672,0.109852396,0.114379846,0.11654138,0.11561575,0.11286268,0.11152855,0.11662216,0.13245922,0.159211,0.19109213,0.21831597,0.23283769,0.23192249,0.2189954,0.2003562,0.18264496,0.17002042,0.16348673,0.1610757,0.16011663,0.15911983,0.15823735,0.15799554,0.15782975,0.15643884,0.15270917,0.14680158,0.13905789,0.12911072,0.11587751,0.09997436,0.08544665,0.07835057,0.08240146,0.0956915,0.111807406,0.12381027,0.12799631,0.124907725,0.11881953,0.11498356,0.11685143,0.1237608,0.1327053,0.141074,0.14783235,0.15105641,0.14636624,0.12969016,0.10247246,0.073129795,0.0525973,0.047435667,0.05680902,0.0740227,0.09115886,0.10265558,0.10693959,0.10552987,0.10206612,0.10157803,0.11021254,0.13214771,0.16647159,0.20525034,0.23770408,0.2554357,0.25672558,0.24558675,0.22891347,0.21269785,0.19947986,0.18713291,0.17140861,0.14964542,0.12453341,0.102515794,0.09149151,0.09701196,0.120705485,0.1583059,0.20032024,0.23593391,0.25756714,0.26328254,0.25556988,0.24018365,0.22438884,0.21408819,0.20999698,0.20756412,0.2011323,0.18970312,0.17788593,0.17310542,0.17926228,0.19372074,0.20676565,0.20820121,0.1932062,0.16636299,0.13718823,0.11457638,0.10260638,0.100947954,0.106216826,0.11283686,0.115254134,0.11068872,0.1008743,0.09009429,0.08199111,0.07860238,0.08066755,0.08818742,0.0991145,0.109994926,0.11748761,0.12049323,0.11979836,0.116856396,0.11258186,0.10727671,0.10090751,0.0936369,0.08635413,0.08095393,0.07972918,0.0839689,0.09293169,0.10389007,0.11385398,0.12083302,0.124606855,0.12561578,0.12454051,0.12181794,0.11802121,0.11354974,0.10833003,0.10201546,0.09425732,0.085454136,0.0763356,0.067977905,0.06086461,0.055886332,0.055306,0.06442192,0.08805051,0.12602001,0.16931467,0.20569192,0.22721832,0.23575197,0.23959233,0.24775046,0.26569948,0.29334882,0.32491395,0.34972247,0.35674575,0.33967087,0.30097014,0.25205868,0.20901655,0.18496875,0.18256229,0.19319393,0.2037761,0.20676814,0.20475656,0.20740132,0.22317255,0.25312892,0.28940284,0.32071796,0.33828214,0.34050262,0.33032838,0.3128234,0.29207516,0.27275816,0.25891355,0.25256184,0.25114596,0.2494052,0.24323924,0.23331547,0.223899,0.21869135,0.21685326,0.21390802,0.20577997,0.19329958,0.18305457,0.1847673,0.20580047,0.24507529,0.29207078,0.33338037,0.3647697,0.39695406,0.44497523,0.5122537,0.5778803,0.6138952,0.6020625,0.55290014,0.48849428,0.43136016,0.38967463,0.3668685,0.36272946,0.37530628,0.39623585,0.41513452,0.42500874,0.42618728,0.42310396,0.41987768,0.41794863,0.4161555,0.41286996,0.4063176,0.39665475,0.38553652,0.37600955,0.3704206,0.36858878,0.36890498,0.3688068,0.3688803,0.37178993,0.3819197,0.3982978,0.41263422,0.4111836,0.38463262,0.33490026,0.27449158,0.2190693,0.17975266,0.16065054,0.1597917,0.17164929,0.18937011,0.20628454,0.21835835,0.22464938,0.22762322,0.22984374,0.23213665,0.23269503,0.22982955,0.2236719,0.21580161,0.20811258,0.20492746,0.2175508,0.26260424,0.34827718,0.4587367,0.55405873,0.59794027,0.5863617,0.5546922,0.54435855,0.56897235,0.6022319,0.6073641,0.56670946,0.4948578,0.41896674,0.36004087,0.32102403,0.29461482,0.27022043,0.2427976,0.21502824,0.19940005,0.21501927,0.27772832,0.3857468,0.5104523,0.6072293,0.641586,0.6111512,0.5439734,0.47535124,0.4269484,0.40033865,0.38720807,0.37916744,0.37278,0.368559,0.3687428,0.37670895,0.39113852,0.40538216,0.406467,0.3880119,0.35241878,0.3121731,0.27634823,0.24865384,0.22630924,0.20773971,0.19326764,0.18493266,0.18291992,0.18503626,0.18796653,0.19006008,0.19203635,0.19583221,0.20230837,0.21079682,0.21927656,0.22516166,0.22550732,0.21816023,0.20373274,0.18696184,0.17554535,0.17570682,0.18815053,0.21057712,0.24401198,0.2982838,0.37886405,0.47544584,0.55427307,0.58567953,0.5609948,0.5040682,0.44400334,0.40148023,0.37808523,0.36889637,0.36695376,0.36724707,0.36578524,0.36035916,0.3522773,0.3455344,0.3456395,0.35571274,0.3741994,0.3954487,0.41327512,0.4252641,0.43183947,0.43471333,0.43377018,0.42962193,0.42395616,0.42016828,0.4202559,0.42400107,0.43083706,0.43919525,0.44593894,0.44176862,0.4178277,0.37108973,0.31143755,0.2547971,0.21531089,0.19866006,0.2028089,0.22167265,0.24625583,0.26748133,0.27732873,0.27338135,0.2578674,0.23710363,0.21802847,0.20672257,0.20527513,0.20949964,0.210559,0.2002889,0.18022381,0.16528566,0.18195571,0.24971713,0.36273798,0.48010173,0.5526846,0.5571402,0.5188346,0.48497948,0.48825946,0.51732093,0.53723335,0.5152604,0.45012507,0.3610396,0.27682227,0.21482468,0.1827523,0.17672147,0.18767582,0.20219155,0.21239151,0.22283466,0.25401148,0.32374084,0.42952022,0.5366744,0.6051602,0.6128297,0.57381225,0.51681656,0.46850398,0.43822005,0.4250525,0.42252693,0.42497912,0.4285053,0.4322215,0.43763244,0.44692802,0.46060216,0.47570214,0.4876628,0.49199626,0.48643205,0.46955392,0.4419073,0.40672672,0.3710102,0.34237573,0.32440984,0.3140806,0.30349052,0.2858366,0.2596301,0.23016661,0.20550655,0.19172664,0.18910897,0.19242983,0.19479595,0.1915326,0.18305588,0.17404579,0.17075668,0.17678839,0.19007665,0.20474224,0.21697555,0.23145343,0.2617099,0.31955782,0.4034632,0.49101076,0.5522139,0.56524765,0.53222865,0.4727006,0.413173,0.37183928,0.35542417,0.35932544,0.37401378,0.389683,0.4002433,0.4042877,0.40429285,0.40385714,0.4050717,0.40721014,0.40849173,0.40737548,0.40397903,0.39879063,0.3929471,0.38702336,0.3818015,0.37735566,0.37387812,0.37155095,0.3719934,0.37790596,0.39124095,0.4085181,0.42000148,0.41378006,0.3856505,0.34235516,0.2980084,0.263282,0.2407964,0.22615622,0.2137414,0.19991387,0.18352926,0.16586897,0.15065753,0.14398934,0.15172751,0.1759244,0.21301408,0.25528523,0.29480746,0.32541808,0.3435494,0.34922317,0.3489062,0.35669148,0.38774708,0.44591036,0.5138246,0.5600037,0.5620349,0.52841824,0.4954492,0.4969755,0.53308487,0.5682455,0.5606814,0.49557412,0.39211568,0.28461424,0.19838816,0.14080478,0.10640342,0.08625724,0.07289097,0.06482805,0.06873896,0.101357095,0.17577267,0.28960624,0.4127544,0.50663,0.5414073,0.51839435,0.45902666,0.39496246,0.34727892,0.32462785,0.32117286,0.32686996,0.3329034,0.33825186,0.3471479,0.36512682,0.3908111,0.414641,0.42299196,0.40997973,0.38140467,0.35085014,0.32824925,0.31579915,0.30930063,0.3033938,0.29360175,0.27800623,0.257829,0.2371449,0.22073738,0.21256651,0.21508908,0.22878633,0.25027168,0.27249745,0.2869185,0.28865072,0.27794236,0.25979182,0.23955281,0.22142695,0.20701033,0.19713353,0.1926635,0.19760202,0.22059882,0.272953,0.35777596,0.45968947,0.54432356,0.57956284,0.55551636,0.49436596,0.4294943,0.38762835,0.37374225,0.38071764,0.39558032,0.40938723,0.41718194,0.41954184,0.420434,0.42401898,0.43211028,0.44200027,0.4494171,0.45081297,0.4471909,0.44264293,0.44128796,0.44349268,0.44593504,0.4447943,0.43872547,0.4292009,0.4196769,0.4135432,0.4141914,0.4204415,0.4259769,0.41839182,0.38961014,0.34124437,0.287267,0.24294715,0.21694857,0.20698015,0.20585799,0.20681709,0.2074721,0.20791847,0.20917518,0.21152805,0.21590203,0.22377612,0.23604365,0.25099018,0.26467693,0.27391204,0.27819014,0.27976438,0.2831984,0.2962078,0.33021113,0.39102587,0.47081932,0.5416309,0.57663107,0.56634957,0.5355707,0.51700884,0.5314389,0.5625351,0.5793612,0.55447805,0.49086365,0.40921998,0.33645868,0.28529343,0.2569411,0.24411221,0.2403888,0.24187225,0.25030968,0.27194968,0.31600842,0.38543856,0.47119483,0.5498761,0.59786826,0.60286397,0.5727888,0.5253157,0.4788315,0.442484,0.41889012,0.40534338,0.39799902,0.3925629,0.3879205,0.38747403,0.39672005,0.41723517,0.4422396,0.4617431,0.46941957,0.46740913,0.4606329,0.45250234,0.44343266,0.43478715,0.4298757,0.43104634,0.43679324,0.4415302,0.4405477,0.43356434,0.42549825,0.42253348,0.42704508,0.4360251,0.4430977,0.44405195,0.43953335,0.43360662,0.4306012,0.4322101,0.43841013,0.44694343,0.4550749,0.4612517,0.4676361,0.48081446,0.50623584,0.5439286,0.58166265,0.6016547,0.5884343,0.54385585,0.485307,0.43614972,0.40925702,0.40290013,0.4071119,0.4130477,0.41694307,0.4186248,0.41884875,0.41935244,0.4213524,0.42639974,0.4336684,0.44156158,0.44707832,0.44853878,0.44573137,0.4396558,0.4317185,0.4229437,0.41493967,0.40909624,0.40604982,0.40574822,0.40828526,0.41487125,0.42423597,0.4310496,0.4264612,0.4055238,0.37078056,0.3307296,0.29238275,0.2584323,0.2290343,0.20584679,0.19100623,0.18414266,0.18060255,0.17422731,0.1621822,0.14819008,0.14233218,0.1548261,0.1885698,0.23423876,0.2744821,0.29250824,0.28191218,0.2524113,0.23028088,0.24713762,0.3174051,0.42088833,0.50981694,0.5449031,0.52643526,0.4938899,0.48868155,0.5194993,0.55825067,0.56846577,0.53539145,0.47206116,0.40307307,0.34511164,0.30193615,0.2706919,0.2487598,0.23373796,0.22287141,0.21619587,0.2246686,0.26532227,0.3484479,0.45630977,0.5498335,0.58859295,0.5639444,0.49975875,0.43529367,0.39503685,0.3808278,0.3805003,0.38343462,0.3862858,0.3898261,0.39586672,0.40670744,0.42337966,0.44124278,0.44824508,0.43347347,0.39632604,0.34903526,0.30560884,0.2726021,0.24735917,0.22615753,0.20965414,0.20114511,0.19999933,0.19850028,0.18785596,0.16660535,0.14446515,0.13468832,0.14364015,0.16569132,0.18836124,0.20197143,0.20499627,0.20339204,0.20514338,0.21597148,0.23647666,0.2625921,0.2882744,0.31143105,0.33771968,0.3783106,0.43828806,0.5063834,0.55683184,0.56662875,0.53290164,0.47422937,0.41620538,0.37498704,0.35330796,0.34554598,0.34588993,0.350239,0.35673463,0.3633472,0.3691506,0.37361,0.37788352,0.38319123,0.39018103,0.39820743,0.40552464,0.4108243,0.4128138,0.41157284,0.40742555,0.40208706,0.39709154,0.3938203,0.39325735,0.39659294,0.40590572,0.42004403,0.43270764,0.43156156,0.40836227,0.36500123,0.3143077,0.26883224,0.23391445,0.2078896,0.18906884,0.1785053,0.1777158,0.18495661,0.1957743,0.20666718,0.21793981,0.23268409,0.2526231,0.2753135,0.29489937,0.30629012,0.30812514,0.30286753,0.2962948,0.29774272,0.32058287,0.3728936,0.44770312,0.5163072,0.5486706,0.5341484,0.49871752,0.47949502,0.49871102,0.5382624,0.5624494,0.5420976,0.48122028,0.4037582,0.3377726,0.29589653,0.2775824,0.2745441,0.27870962,0.28552333,0.29556477,0.3162559,0.35822502,0.42542553,0.5053809,0.56894016,0.59057856,0.5635852,0.5073934,0.44657874,0.3993334,0.3679588,0.34992978,0.3404962,0.33716893,0.3371891,0.34004363,0.3480122,0.3638979,0.3861376,0.40568757,0.41205218,0.39962423,0.37186646,0.33591858,0.29885387,0.2651778,0.23797162,0.21852963,0.20591211,0.19783103,0.19141133,0.18458061,0.17590706,0.16615508,0.15813793,0.15683757,0.16613978,0.18692712,0.21477376,0.24249135,0.26298356,0.27314207,0.27382696,0.2681584,0.25979158,0.2513748,0.24692684,0.25202563,0.2776362,0.33081135,0.4093351,0.48955202,0.5430772,0.54873556,0.51385295,0.45977727,0.41112396,0.37704775,0.35701224,0.34545124,0.33920768,0.33688638,0.33746007,0.33984342,0.34289256,0.34641877,0.35063133,0.35579503,0.36137733,0.36624753,0.36915156,0.36937472,0.36710238,0.36335102,0.35960028,0.3570505,0.35620427,0.35691,0.3593947,0.36509717,0.3752153,0.38695738,0.3910135,0.37664124,0.3407137,0.2933866,0.2510198,0.2248991,0.21424867,0.21127196,0.20875691,0.20466797,0.19983612,0.19496216,0.18935604,0.18275268,0.17688541,0.17470805,0.17785431,0.18420881,0.18946014,0.18943298,0.18306895,0.1731897,0.16888289,0.18649793,0.2427475,0.33938017,0.4502546,0.5320683,0.5547802,0.5289808,0.49782774,0.50060433,0.53731275,0.5708661,0.55929524,0.49035656,0.38630033,0.2828288,0.20459016,0.15625878,0.12999475,0.11516773,0.10444563,0.09683418,0.09895128,0.12667698,0.19241758,0.29592177,0.4098042,0.4984975,0.53184754,0.51159114,0.45807466,0.40113068,0.35680425,0.3307636,0.31942752,0.31870353,0.3238287,0.33194265,0.34285676,0.35901913,0.38097015,0.4034922,0.41660574,0.41294608,0.39414632,0.36975142,0.34877685,0.3321649,0.31283262,0.28364566,0.24440907,0.20366776,0.17110433,0.15148126,0.14175226,0.13748157,0.13653626,0.14000227,0.14703363,0.15370639,0.15474923,0.14807123,0.1356117,0.12197686,0.11159321,0.10736099,0.10979986,0.117240824,0.12791258,0.1446466,0.17866115,0.24491842,0.3472298,0.46552253,0.5588875,0.59232146,0.5583983,0.4845313,0.40749893,0.35515782,0.3323486,0.3324821,0.34347415,0.3561884,0.36435327,0.36596155,0.3634968,0.3606154,0.36031267,0.3617525,0.36282745,0.3614172,0.35738847,0.35178638,0.34573865,0.34011018,0.33552134,0.33238682,0.33104798,0.33076003,0.3318725,0.33509803,0.34358576,0.35672465,0.36829916,0.36423838,0.33357802,0.27665523,0.20829773,0.14699563,0.1040591,0.07951966,0.067038104,0.060172692,0.055011813,0.050025586,0.04520276,0.04227781,0.044576336,0.05596577,0.07773197,0.10619203,0.13280469,0.14867912,0.14937787,0.13730834,0.12241296,0.121155836,0.15497114,0.23514563,0.35087308,0.46123895,0.5247856,0.525439,0.49401712,0.47589386,0.49922666,0.54500127,0.5712529,0.54213256,0.45908532,0.34971702,0.24915898,0.17699297,0.13694097,0.12216125,0.123253755,0.13267642,0.14857931,0.1790963,0.23820446,0.33309016,0.44956455,0.5513261,0.60045123,0.5826083,0.51833457,0.44607088,0.39530206,0.37141192,0.36210337,0.35575342,0.34908476,0.34678313,0.35242233,0.3679177,0.39070585,0.41535822,0.43240488,0.43476447,0.42234513,0.4035075,0.3881562,0.38148722,0.38222304,0.38698912,0.39305472,0.39959717,0.40489563,0.40749857,0.4062643,0.40289077,0.40029147,0.40097857,0.40501168,0.41009045,0.41395494,0.41551593,0.41481766,0.41192845,0.40660203,0.39971593,0.39251474,0.3872478,0.3846514,0.38364056,0.379486,0.3665249,0.3417231,0.30750373,0.2705355,0.23733187,0.21160804,0.19338728,0.18108702,0.17251162,0.16558057,0.15824519,0.14909945,0.138541,0.12859564,0.121776015,0.11872343,0.11808873,0.11780736,0.117586434,0.11897522,0.12386205,0.13214052,0.14145647,0.14823388,0.14934617,0.14318173,0.13065068,0.115427636,0.10319865,0.09851807,0.10314224,0.11468172,0.12970729,0.14398003,0.15500969,0.16083287,0.16221668,0.16110627,0.16022754,0.1607302,0.16240765,0.1641147,0.16443951,0.16197878,0.1563214,0.14886405,0.14247853,0.13914284,0.13840717,0.13794126,0.13635923,0.1350439,0.1368577,0.14345883,0.15345293,0.16407508,0.1729276,0.17899998,0.18188943,0.18178628,0.18016301,0.17920727,0.1806618,0.18398924,0.18732314,0.18816264,0.18453532,0.1746149,0.15802832,0.13680394,0.11581708,0.10018314,0.093031935,0.09385046,0.099559195,0.10576284,0.109397106,0.11031413,0.111484356,0.11603209,0.12464172,0.13504533,0.14467426,0.15191995,0.15632623,0.15753944,0.15692584,0.15750892,0.16276564,0.17246194,0.18261112,0.18734103,0.183854,0.17371292,0.16319285,0.15869284,0.16350944,0.17445515,0.1859166,0.19367002,0.19866364,0.20396708,0.2114094,0.21983011,0.22594732,0.22725345,0.22213699,0.21135831,0.19658647,0.18088059,0.16727465,0.15900953,0.15906,0.16912107,0.18803309,0.21078356,0.23018865,0.23961014,0.23567396,0.21926738,0.19523479,0.17065524,0.15197052,0.1423934,0.14092432,0.14378636,0.14707309,0.14891951,0.15005796,0.15194772,0.15477069,0.15666606,0.15618593,0.1543973,0.15497811,0.1606407,0.17077452,0.18161704,0.19027221,0.19663668,0.20312293,0.21086067,0.21868919,0.22362904,0.22383161,0.21886289,0.20928271,0.19532073,0.17760013,0.15813236,0.14072233,0.12926203,0.12549157,0.12821068,0.13493542,0.1440282,0.1549719,0.16646363,0.17540455,0.17815514,0.17356236,0.16388504,0.15308316,0.14381607,0.1362762,0.12950234,0.1230866,0.11759048,0.11338016,0.109731846,0.10546719,0.10009912,0.09471291,0.09087514,0.08952195,0.09030345,0.09280632,0.09810687,0.10826921,0.12434032,0.14312762,0.1584738,0.16425139,0.15968972,0.14938383,0.1405026,0.1367932,0.13649774,0.1341909,0.12596758,0.1124385,0.09799468,0.08753375,0.08439472,0.08978424,0.10295785,0.12075058,0.13856767,0.15248173,0.16131116,0.16590373,0.16700657,0.1639347,0.15566526,0.14249672,0.1270871,0.1137367,0.10672901,0.107844226,0.11487188,0.12262341,0.12595382,0.12287789,0.11511213,0.10677857,0.10162292,0.10087621,0.10188273,0.09990207,0.09168029,0.079341225,0.070021845,0.07108721,0.08466703,0.105479956,0.12499749,0.13597383,0.13653873,0.1290732,0.118891396,0.110394955,0.105229266,0.10082814,0.093265235,0.0803353,0.06465997,0.052269876,0.050255004,0.06222977,0.08686552,0.11733538,0.145442,0.1646849,0.17298202,0.17131537,0.16273166,0.15093358,0.1395079,0.13037299,0.12317714,0.116459616,0.109659374,0.10379391,0.10020647,0.098923385,0.09854087,0.09747085,0.095178075,0.092034794,0.0884622,0.08443039,0.079998076,0.07586324,0.07316611,0.07236352,0.07285971,0.073575474,0.07451875,0.0764938,0.080118805,0.08423507,0.08722875,0.088352405,0.088712364,0.089405306,0.09031423,0.090109475,0.08824917,0.08625543,0.087014265,0.09232663,0.10086044,0.10899455,0.11355511,0.11433509,0.11327842,0.11243429,0.11217341,0.112066835,0.11189911,0.11209625,0.112828255,0.11348479,0.11335439,0.112532526,0.112154156,0.113128476,0.11517944,0.11710974,0.11796561,0.11769261,0.11645833,0.11395379,0.10931604,0.10190638,0.09189573,0.0803125,0.068656765,0.058375657,0.050458897,0.04519092,0.042207558,0.040772706,0.040142532,0.03976797,0.039380163,0.038891558,0.0383271,0.037655804,0.036810994,0.035719424,0.034411307,0.032985914,0.03153209,0.030112632,0.028782303,0.027645325,0.026789846,0.026244188,0.025934497,0.025738945,0.02554117,0.025318673,0.025121575,0.025076983,0.025250288,0.025652073,0.02618263,0.02677201,0.0274095,0.028177314,0.029110694,0.030127345,0.031026704,0.031654507,0.031974822,0.032084394,0.032081503,0.03245302,0.034623053,0.04143161,0.055414725,0.076495,0.10047924,0.121968836,0.13796552,0.14946453,0.15864892,0.1662501,0.17152397,0.17404981,0.17454094,0.17382395,0.1721486,0.16942674,0.16608274,0.16331156,0.16246383,0.16422504,0.16804498,0.17264707,0.17695242,0.18049079,0.18295516,0.18334271,0.1802812,0.17274626,0.16086768,0.14545129,0.12764603,0.10889771,0.09121696,0.07627481,0.06432091,0.054398667,0.046727765,0.044167858,0.05046457,0.066291906,0.08709145,0.1057103,0.1166583,0.11941815,0.11726868,0.114867985,0.11508259,0.11805291,0.1213577,0.12175552,0.11683747,0.10599356,0.0907374,0.07470881,0.06374085,0.06370698,0.07749694,0.10168954,0.12843698,0.14923884,0.16024445,0.16212828,0.15851068,0.15234329,0.1452526,0.1374539,0.12888218,0.11974987,0.11063879,0.10226653,0.0949777,0.088968664,0.08438917,0.08157381,0.08088317,0.08294549,0.08859,0.09791846,0.10904751,0.11820554,0.12180961,0.11859873,0.1101938,0.10004843,0.09202957,0.08855901,0.089167975,0.09050218,0.089042544,0.083946824,0.077744015,0.07423216,0.07620072,0.08424703,0.09681488,0.110485524,0.12120328,0.12579511,0.123527445,0.11613741,0.1067943,0.09842045,0.092401005,0.0884094,0.085090615,0.081358224,0.076949395,0.07246959,0.06868625,0.06611676,0.06469598,0.06401486,0.06354622,0.06308422,0.06288469,0.06362309,0.06580188,0.069146626,0.07302723,0.07728515,0.08295232,0.09051385,0.09927093,0.10683844,0.111584924,0.11301371,0.113972045,0.120452285,0.14030339,0.17682202,0.22452247,0.27051032,0.30215397,0.31349012,0.3067499,0.2890894,0.26813686,0.24844526,0.23100501,0.2158547,0.20475663,0.20156956,0.20852464,0.22339909,0.23912966,0.24881275,0.24948423,0.2430078,0.23128605,0.21399838,0.18884778,0.15608148,0.11908419,0.08415263,0.05760644,0.045183778,0.0495721,0.069035076,0.09662813,0.123661466,0.1436659,0.15552032,0.16241007,0.16977449,0.18155809,0.19838156,0.21588296,0.22744763,0.22693552,0.21264945,0.186819,0.15438561,0.11989071,0.086859584,0.0579485,0.036306236,0.025679247,0.029642524,0.048842806,0.079280764,0.11190947,0.13728027,0.14958467,0.14917429,0.13935843,0.123418756,0.10328102,0.08118686,0.06081752,0.045781333,0.037811596,0.036420543,0.042187378,0.057236698,0.083326615,0.11664748,0.14896281,0.17141002,0.1805277,0.17808394,0.16911854,0.15849638,0.14983988,0.14448392,0.14123015,0.13635387,0.12570907,0.107203715,0.08313333,0.05879626,0.03962326,0.028236369,0.025090829,0.030712977,0.04600066,0.07043406,0.0992924,0.12567805,0.14359812,0.15188636,0.15316136,0.15189111,0.15115654,0.15191756,0.15323283,0.1539526,0.15380305,0.1534897,0.15380941,0.15492897,0.15656078,0.1586036,0.16159727,0.16620074,0.17202745,0.17657827,0.17569685,0.16602963,0.14776158,0.12524056,0.10449845,0.090215616,0.08510429,0.09007799,0.104800306,0.12543987,0.14565662,0.15747209,0.15568243,0.13952251,0.11419054,0.087901235,0.06771944,0.05623439,0.052825842,0.056384485,0.06622053,0.07982071,0.09267942,0.10044473,0.10236285,0.10113867,0.10059819,0.10280904,0.107257724,0.11191332,0.11493102,0.115976535,0.11612592,0.11700267,0.119676925,0.12411779,0.12933731,0.13368805,0.1355751,0.13372292,0.12787123,0.11874924,0.1083064,0.09871591,0.09160966,0.086970545,0.08357755,0.079896145,0.075502954,0.07124094,0.06842426,0.06733156,0.06668049,0.06433919,0.058889225,0.05037245,0.040077634,0.029612338,0.020519206,0.014072378,0.01130839]