[0.02801356,0.026811657,0.024211178,0.020925537,0.017474005,0.014066458,0.010762848,0.007789533,0.005926043,0.0067495913,0.012626379,0.02511897,0.043417256,0.063308276,0.07969194,0.089280926,0.092654586,0.09243402,0.091150455,0.0896393,0.08773342,0.08524277,0.08243736,0.07979705,0.07756031,0.07582909,0.07473785,0.0746513,0.07595045,0.07884216,0.08330543,0.08933372,0.097392865,0.10833225,0.12243996,0.1381637,0.15221971,0.16138588,0.16443552,0.16253883,0.15806645,0.15337774,0.14993937,0.14800258,0.14630105,0.14265124,0.13524495,0.12401704,0.11093537,0.09874165,0.089474715,0.08357089,0.080384575,0.07905727,0.0792132,0.08102584,0.085066386,0.09213469,0.10312885,0.11799029,0.13479976,0.14928395,0.15700668,0.15580069,0.14748417,0.13648488,0.1273825,0.12267122,0.12235243,0.12481091,0.12874015,0.13422333,0.1429417,0.1557581,0.17086482,0.18269302,0.18481655,0.17349799,0.1507005,0.12314525,0.09883087,0.08315548,0.077436835,0.08009929,0.08883551,0.101404764,0.11548811,0.12815835,0.13693856,0.14075583,0.1404302,0.13774182,0.13427342,0.1310067,0.12820394,0.12591341,0.12377254,0.12151302,0.119009696,0.11671218,0.115120046,0.114228986,0.11319443,0.11085821,0.10674251,0.10169246,0.09753725,0.09627391,0.09907652,0.10636748,0.11765299,0.13130295,0.14383261,0.15039855,0.14687766,0.13210076,0.108954825,0.08338779,0.06250872,0.052376926,0.055334497,0.06867666,0.08471605,0.094837576,0.093457274,0.08115557,0.06308245,0.04568969,0.033048496,0.026195914,0.024568915,0.028126324,0.037003335,0.05048566,0.06606067,0.08207055,0.09825769,0.11570639,0.13304721,0.14748125,0.15608577,0.15923926,0.15902388,0.15786003,0.15649144,0.15448289,0.15027215,0.14149588,0.12591213,0.10312804,0.076152466,0.05024006,0.030290537,0.018326992,0.013858105,0.015692329,0.022838062,0.033865225,0.046222683,0.058074474,0.07030598,0.08586833,0.106019646,0.1274393,0.14436616,0.15287971,0.15343659,0.14877331,0.14087285,0.13024226,0.11723656,0.103862815,0.0931493,0.08829834,0.09089733,0.100566566,0.11408198,0.12601693,0.12995552,0.12185833,0.10253089,0.078152694,0.056382533,0.04204726,0.035098895,0.03356014,0.036949366,0.04675783,0.063162856,0.08254588,0.098831326,0.107587755,0.10843935,0.10431253,0.0984818,0.09298015,0.08815015,0.08379305,0.0797781,0.07724961,0.07781155,0.0825907,0.089976765,0.0967052,0.09950981,0.09784324,0.093203045,0.08776659,0.082700096,0.07844809,0.07575362,0.076342046,0.08240237,0.094244964,0.10873383,0.11926728,0.11957567,0.107175626,0.08534038,0.060951542,0.04130744,0.03133652,0.03226653,0.041846294,0.05514921,0.06704649,0.07426537,0.0767897,0.07672247,0.07648751,0.07723539,0.07878013,0.08019228,0.080582015,0.07945987,0.07708835,0.07469324,0.07456267,0.07890207,0.08809662,0.09932638,0.10792747,0.11031232,0.10635593,0.09885021,0.091169864,0.08545211,0.08220973,0.08113363,0.08161176,0.083239235,0.08560917,0.088298224,0.090590425,0.091954984,0.092195906,0.09168589,0.09081373,0.08986611,0.08886155,0.08806648,0.08825257,0.090840906,0.097109474,0.106784485,0.1169175,0.12237394,0.11839648,0.10355675,0.081082985,0.05771679,0.040725052,0.035097312,0.04135206,0.055875313,0.0728716,0.08803389,0.100251295,0.110836,0.120803095,0.12940891,0.13522138,0.13754286,0.13714442,0.13495816,0.1317148,0.12754087,0.122753374,0.11758568,0.11247223,0.10767242,0.10356241,0.100278266,0.09784174,0.09597372,0.09429679,0.09245407,0.09024894,0.08778146,0.08522055,0.08285994,0.081150465,0.081186116,0.08428673,0.09107161,0.10004857,0.10797068,0.11150942,0.10958814,0.1038539,0.09741065,0.092859976,0.091268085,0.092624746,0.096509464,0.10259942,0.10979613,0.11595934,0.11782839,0.1128538,0.10054877,0.083666526,0.06695543,0.05491784,0.04924651,0.048841596,0.051951975,0.05859826,0.07009586,0.086530805,0.10491917,0.12044565,0.12921412,0.12969474,0.1223844,0.1090197,0.09256717,0.07669052,0.0644794,0.05736153,0.055683378,0.059525788,0.06885744,0.082312085,0.09743765,0.11138845,0.12253525,0.13022302,0.134668,0.13630678,0.13594073,0.13439445,0.13230573,0.12980767,0.1264953,0.1215606,0.114355594,0.10510913,0.09528009,0.08687196,0.081362285,0.079038285,0.07945143,0.082213886,0.08750739,0.09555795,0.10558975,0.114944644,0.119842134,0.11747671,0.10827779,0.09579626,0.08457124,0.0773017,0.07420304,0.07397347,0.07553584,0.07838514,0.08225587,0.08622464,0.088828735,0.08856145,0.085299514,0.08057896,0.07705765,0.076442696,0.078506954,0.08141368,0.08352116,0.08478593,0.08680013,0.09193683,0.10129597,0.11365142,0.12471197,0.12973839,0.12598707,0.115281515,0.102356695,0.09222332,0.08707729,0.08613495,0.08730488,0.08926921,0.092583634,0.09818727,0.10614944,0.11419457,0.11967733,0.120693125,0.11792915,0.11331221,0.10930034,0.10721842,0.10950484,0.12026902,0.14643338,0.18734266,0.23255706,0.2606602,0.26030377,0.23440902,0.20163351,0.17542167,0.16050677,0.151855,0.14520188,0.13814653,0.13045157,0.12184531,0.11204887,0.10077999,0.08780861,0.07346087,0.059051555,0.046712026,0.038008947,0.032812547,0.029374182,0.02770944,0.034290217,0.064942844,0.13548753,0.2442085,0.35881874,0.43197873,0.43397477,0.3770062,0.30156144,0.2449838,0.21849823,0.21310252,0.21493149,0.21610391,0.21369587,0.20685206,0.19579041,0.18240952,0.16957115,0.15825488,0.14632271,0.12984374,0.107102,0.08029025,0.0544334,0.036179926,0.033054512,0.053937256,0.09952903,0.15825526,0.20475215,0.22091734,0.20489347,0.17339058,0.14189291,0.11753821,0.099332444,0.086277395,0.07857075,0.07458757,0.0725384,0.07273871,0.079884805,0.09669336,0.12068681,0.14379026,0.15965526,0.16795069,0.17518838,0.18963587,0.21377183,0.24393366,0.2748525,0.31161237,0.36104655,0.4200431,0.46320972,0.46507004,0.4216055,0.35778525,0.3033923,0.27185047,0.25801158,0.25132293,0.24915747,0.25864908,0.29292998,0.35627314,0.43376124,0.49120888,0.49945465,0.45580328,0.38669124,0.32461223,0.28637233,0.27020824,0.2669314,0.27209142,0.28555313,0.30506313,0.32032916,0.31716153,0.28958032,0.24600194,0.20390308,0.1753075,0.16053273,0.15220997,0.14323218,0.1305167,0.113538265,0.09541968,0.08252701,0.083589785,0.102866925,0.13670325,0.17415124,0.20394091,0.22074802,0.226806,0.22925174,0.23242821,0.23859684,0.24899001,0.27449617,0.32261005,0.38922,0.44381985,0.45678568,0.4173462,0.34929863,0.2841448,0.2430955,0.22558278,0.22228457,0.2239073,0.22581331,0.22501518,0.21836835,0.20311427,0.17905004,0.14970703,0.12026631,0.0945896,0.073320664,0.05541494,0.039947953,0.028291715,0.025277272,0.03927314,0.076659776,0.13233143,0.18671362,0.21566506,0.20921983,0.17689516,0.13878603,0.10855881,0.09035107,0.08298636,0.08579565,0.09640664,0.109022975,0.11726334,0.11979092,0.121908925,0.13007754,0.14585425,0.16388035,0.17780556,0.18581247,0.19388522,0.2081591,0.23053356,0.25632107,0.2866598,0.32789,0.38443384,0.43976447,0.46585426,0.4431946,0.3836011,0.31659207,0.26877472,0.24506067,0.23828058,0.23967189,0.25060382,0.27939412,0.33380106,0.407253,0.47445154,0.50395375,0.48104373,0.41968724,0.35114047,0.30031285,0.27402535,0.26411915,0.26261976,0.2659174,0.2761588,0.28935054,0.2961794,0.28244102,0.24548936,0.19438082,0.14718874,0.1150029,0.09993112,0.09809095,0.10531792,0.11945101,0.13757426,0.16089724,0.19000994,0.22590925,0.26078326,0.28657207,0.29583523,0.29082027,0.27633062,0.2608907,0.25013593,0.24898362,0.25986603,0.28752622,0.33641613,0.40085876,0.45753637,0.47414482,0.43649754,0.36075994,0.28260872,0.22818016,0.20256795,0.19600178,0.19826567,0.20373853,0.20984729,0.21503711,0.21929948,0.2248329,0.23429488,0.24768563,0.26056865,0.2668353,0.2632798,0.252759,0.24114047,0.23431276,0.23484993,0.24504979,0.2616606,0.2771984,0.2769008,0.25403658,0.21173431,0.16516598,0.12662396,0.10278674,0.09426885,0.09927822,0.113770984,0.13005652,0.14251061,0.1502613,0.15959144,0.17594433,0.20001388,0.22468998,0.24243312,0.24944617,0.25014946,0.25080836,0.25604334,0.26586863,0.2830199,0.31516793,0.3670412,0.42677593,0.46433428,0.4540273,0.3958856,0.31791696,0.2516145,0.21183,0.19431977,0.18891466,0.19263847,0.21223442,0.25965813,0.33516026,0.4190717,0.47486076,0.47779325,0.43190184,0.3674406,0.31356528,0.28152332,0.26600778,0.25891468,0.25790372,0.26594844,0.2831628,0.3020548,0.30689737,0.28674886,0.24286991,0.19102384,0.14788677,0.123093754,0.11581519,0.12047133,0.13008814,0.13901441,0.14501037,0.15080385,0.1628835,0.1855703,0.21658237,0.2464792,0.2655598,0.26974165,0.2634354,0.2548432,0.25029188,0.25217077,0.26211032,0.28653803,0.32969096,0.38497412,0.4277576,0.4343448,0.39895043,0.34188795,0.2893776,0.25691035,0.24330539,0.24087518,0.24298574,0.24614805,0.24843699,0.24918942,0.24899866,0.24861567,0.24761479,0.24456263,0.2387169,0.23087843,0.22305036,0.21690726,0.21446173,0.21951592,0.24022086,0.28426084,0.35034108,0.41881636,0.46050557,0.4547173,0.40742263,0.3439099,0.29085395,0.25828007,0.24208158,0.2327042,0.22510962,0.219196,0.21822588,0.22463553,0.2381823,0.25511575,0.27028874,0.27946267,0.28142187,0.27806643,0.27363884,0.2706249,0.2690085,0.26857683,0.27761525,0.30815437,0.36268613,0.41867003,0.44233298,0.41483125,0.35133746,0.28530595,0.2428558,0.22757645,0.2289335,0.23537256,0.24200709,0.24905539,0.25864184,0.27089915,0.2841079,0.29508123,0.30364227,0.3112793,0.3207376,0.3309753,0.33905736,0.34130785,0.3382633,0.3344008,0.3364699,0.34591272,0.3571733,0.35904446,0.34651008,0.3223095,0.2968456,0.27703428,0.2661022,0.26112294,0.258226,0.25282264,0.24478084,0.2377107,0.23651935,0.24209213,0.2509314,0.25922975,0.2641678,0.26401213,0.25507027,0.23598272,0.20805638,0.1786257,0.15830962,0.1643526,0.21137963,0.29922903,0.3982583,0.46501005,0.4708291,0.4262501,0.36586925,0.32022437,0.29524064,0.2817644,0.26978543,0.25756478,0.24649489,0.23671721,0.22444125,0.20582463,0.180346,0.1529008,0.12998709,0.11535341,0.10786036,0.104219176,0.1017993,0.101848155,0.10908554,0.13174321,0.17069077,0.21651454,0.24710165,0.24843244,0.22042234,0.18063693,0.14524247,0.123704225,0.11599845,0.118257545,0.12444458,0.1270323,0.12294241,0.1154556,0.114420205,0.12657507,0.15104647,0.17912577,0.20325519,0.22343975,0.24702644,0.27946436,0.31624314,0.34637368,0.36543107,0.38411117,0.41593507,0.45891175,0.489321,0.4833232,0.43734393,0.37105063,0.3080592,0.26159585,0.23422629,0.22523463,0.23608835,0.2685117,0.32353508,0.39307413,0.45884284,0.49370798,0.48250243,0.4313607,0.36760557,0.31698528,0.29030976,0.28094006,0.27751458,0.2746649,0.2757766,0.28458345,0.29731295,0.30157635,0.2895998,0.26484057,0.2412474,0.22848521,0.22719456,0.23041253,0.23242079,0.23113976,0.22815423,0.22624665,0.22894865,0.23786134,0.25261697,0.26874712,0.2815074,0.28555143,0.28079364,0.27015385,0.26219153,0.26195565,0.27358747,0.29674163,0.33699608,0.39464247,0.46157718,0.5117271,0.52318555,0.49183652,0.43872985,0.38873708,0.35568893,0.33812103,0.3296956,0.3260498,0.32576358,0.32738015,0.3274226,0.32109526,0.30376872,0.27417922,0.2344528,0.19049412,0.14920317,0.1184886,0.1046825,0.11143135,0.13727392,0.17691423,0.2216423,0.2607896,0.28288513,0.28196087,0.26164407,0.23393868,0.20988269,0.19336212,0.18175288,0.17106867,0.15907556,0.1450161,0.13051428,0.11976176,0.11913369,0.13176067,0.15500094,0.17984383,0.19732545,0.20253937,0.19860184,0.19446485,0.19964837,0.21844493,0.24866728,0.2902282,0.3450811,0.4114327,0.47111097,0.50015944,0.4867566,0.44395992,0.39664456,0.36247742,0.3441408,0.33540162,0.3317174,0.33440122,0.35142043,0.38908756,0.44282237,0.4907284,0.5070844,0.48020908,0.42494747,0.3681133,0.3318694,0.31986213,0.32616016,0.34103712,0.35953808,0.37701607,0.3890396,0.38895866,0.37196207,0.339332,0.29890016,0.26165998,0.23418815,0.21778339,0.21010709,0.21016598,0.21827777,0.2342305,0.25503954,0.27668276,0.29640847,0.31374994,0.32763323,0.33566514,0.33526325,0.3271126,0.31498995,0.30282658,0.29335126,0.29029563,0.30272767,0.3402212,0.40021554,0.46046117,0.4893599,0.47168896,0.41895774,0.36063614,0.31821382,0.2962965,0.28492215,0.2741172,0.2589604,0.24174565,0.22703564,0.2199074,0.22287123,0.23569338,0.2541123,0.271978,0.28460976,0.2910576,0.29292825,0.29054108,0.28471264,0.27840832,0.27986372,0.2927204,0.31267366,0.32419142,0.31613562,0.2862719,0.24465753,0.20210278,0.16882646,0.1525415,0.15869151,0.1838011,0.21417594,0.23359984,0.2356844,0.22831674,0.22474469,0.23252784,0.24770074,0.26239476,0.2715377,0.27834073,0.2865505,0.29646513,0.30375576,0.31079328,0.32960847,0.37139797,0.42899814,0.47463825,0.4825921,0.4500358,0.39865556,0.35245684,0.32184434,0.30356038,0.29252294,0.29092145,0.30678797,0.3483998,0.41116896,0.4750971,0.5096318,0.49687672,0.4426999,0.37432387,0.31874713,0.28868192,0.28129697,0.2869199,0.29777336,0.31028116,0.32327357,0.33432317,0.3378364,0.32998955,0.31157255,0.28988788,0.27165425,0.2604951,0.25542524,0.25395516,0.25283656,0.24874945,0.24111299,0.23337413,0.23275371,0.24306251,0.2616885,0.2795907,0.28992963,0.29214576,0.2925441,0.297623,0.308997,0.32381627,0.3399959,0.36357197,0.40100098,0.4496235,0.48789477,0.49370003,0.4602917,0.4059833,0.35514554,0.32321846,0.3099585,0.30762938,0.30868757,0.30876788,0.30745736,0.30572852,0.3053632,0.30578503,0.30448818,0.2980958,0.28660253,0.27536532,0.27115694,0.27679214,0.2882034,0.3006688,0.3132143,0.3279824,0.34296277,0.35014024,0.3410008,0.31468776,0.27882645,0.24469125,0.22093529,0.21169996,0.21537244,0.22529882,0.23215884,0.22953087,0.21738146,0.20125057,0.18776466,0.18166487,0.18390943,0.19258617,0.20393689,0.21619087,0.23067631,0.2485921,0.2689239,0.28950083,0.31618655,0.3566363,0.40975893,0.45242158,0.45628265,0.41042972,0.334355,0.26012787,0.20970999,0.18625538,0.18215625,0.19083934,0.21176855,0.2513899,0.31350228,0.38824782,0.44698107,0.46021655,0.42023513,0.34843123,0.276408,0.22440629,0.19518866,0.18389268,0.1863033,0.20172577,0.23028737,0.27058014,0.31590462,0.3542775,0.3747659,0.3749815,0.3624387,0.34822038,0.33910123,0.33675697,0.33807075,0.33994612,0.33824196,0.3318831,0.32183063,0.31301346,0.30986616,0.31382048,0.32209036,0.33024493,0.3362061,0.33949706,0.339885,0.3358833,0.3298191,0.33175144,0.354571,0.40015268,0.44969955,0.47465587,0.45867732,0.410614,0.35410058,0.30833402,0.27847883,0.2607045,0.25045547,0.24498785,0.24109267,0.23358066,0.21769165,0.19319846,0.16620262,0.14600097,0.13884951,0.1447746,0.15903138,0.17697918,0.19610332,0.21615513,0.23755215,0.26157472,0.2861209,0.30560768,0.3100598,0.2967968,0.27100185,0.24623056,0.2307486,0.22643416,0.22848432,0.23259139,0.2361203,0.23838699,0.23984408,0.24152581,0.24479719,0.25007033,0.25636324,0.26155403,0.26445082,0.26655856,0.27168456,0.28165603,0.29351172,0.30263975,0.31178614,0.3324032,0.37251845,0.42213157,0.45575228,0.45413718,0.4206275,0.37733302,0.34492683,0.33103085,0.32999912,0.33290252,0.334308,0.33879152,0.3572189,0.39564848,0.44323087,0.47526398,0.47333148,0.4398016,0.39576983,0.3610836,0.34321666,0.3372951,0.3370454,0.33904943,0.34337914,0.34705612,0.34444264,0.3279886,0.29772642,0.26095888,0.23027945,0.2136646,0.21246181,0.22158343,0.23383506,0.24243455,0.2439196,0.2390442,0.23300426,0.2319016,0.24024363,0.25645348,0.27445564,0.28549865,0.2852768,0.27541193,0.2641995,0.26023558,0.2698537,0.29560992,0.3404418,0.4030722,0.47143063,0.518867,0.52065057,0.47321105,0.40004012,0.33378235,0.29464436,0.28260434,0.28423867,0.28466582,0.274471,0.2524315,0.22329657,0.1945657,0.17302442,0.16288513,0.16477002,0.1753061,0.18910478,0.20122904,0.20962499,0.21541995,0.2225499,0.236398,0.25852588,0.28241444,0.29403415,0.28266427,0.2501017,0.20967542,0.17581515,0.15461737,0.14508812,0.14234646,0.14172195,0.13770558,0.12817733,0.1160785,0.11060324,0.11921088,0.14261729,0.17269729,0.20074832,0.22349614,0.24477164,0.26886842,0.2940154,0.31454185,0.3282585,0.34568417,0.38036963,0.43427333,0.48471364,0.5019175,0.47207108,0.41151524,0.34917364,0.30633736,0.2860085,0.28164598,0.28574476,0.29725325,0.32191703,0.36692026,0.4275957,0.48125216,0.49919763,0.47018418,0.40963292,0.34620556,0.29963675,0.27304134,0.26034352,0.25700152,0.26293576,0.27776203,0.29560778,0.3058776,0.29994515,0.27915967,0.25270003,0.2316112,0.21980335,0.21665116,0.21809964,0.22205983,0.22563922,0.22873932,0.2327261,0.24285503,0.26196727,0.28795078,0.31040987,0.3173245,0.30188966,0.27002114,0.23784174,0.22199269,0.22925906,0.25472668,0.29287335,0.34232035,0.40208825,0.45873404,0.4918624,0.488893,0.4573302,0.4157668,0.37905964,0.35224807,0.33513954,0.32690236,0.32516113,0.32540226,0.32301423,0.31658733,0.3087261,0.30386683,0.30494153,0.31014624,0.314199,0.31245264,0.30599448,0.29968905,0.2985411,0.3032765,0.31347537,0.32539925,0.33328894,0.32742298,0.30537197,0.27371517,0.24635403,0.2302141,0.22256424,0.21554214,0.20440859,0.19013275,0.17546742,0.16465451,0.16130088,0.16911753,0.18807197,0.21446963,0.24152295,0.26339582,0.27770892,0.28702852,0.29555982,0.3060231,0.31902632,0.33881783,0.3744503,0.43007907,0.491882,0.5298566,0.52075934,0.46824005,0.4002343,0.34506336,0.31321347,0.29830584,0.2902759,0.2867529,0.295355,0.32812265,0.38749287,0.4565482,0.5028358,0.5015915,0.4531052,0.38189587,0.31582454,0.27150822,0.25186443,0.25354955,0.27085495,0.297846,0.3268006,0.35016453,0.35929525,0.35094514,0.32601145,0.2921096,0.25653416,0.2281393,0.21352465,0.21595822,0.2297377,0.24443601,0.25223,0.25525582,0.26039624,0.27147105,0.28346744,0.28747356,0.2781216,0.25919604,0.2422389,0.2388304,0.2517501,0.27490315,0.3019009,0.33764115,0.38932753,0.45265397,0.5015626,0.5108113,0.47673115,0.42296422,0.37708637,0.351758,0.342654,0.33935475,0.33412895,0.32386565,0.3097486,0.29629433,0.28836405,0.2888881,0.29673418,0.3084712,0.31898865,0.32431278,0.32219508,0.31383097,0.3031406,0.29596952,0.2977792,0.30968687,0.32660165,0.33875915,0.33980474,0.33135656,0.32108852,0.31421962,0.30937937,0.30188808,0.29015863,0.27741194,0.26839063,0.26505354,0.26642403,0.27021268,0.2747115,0.27835557,0.2797965,0.27848163,0.27610806,0.27641293,0.2837262,0.2987658,0.31902266,0.34140888,0.37030026,0.41085944,0.46006498,0.49664393,0.49799016,0.45723653,0.39194933,0.32716605,0.27992424,0.2546583,0.24852903,0.25820184,0.28192413,0.32302538,0.3817507,0.44709185,0.49093464,0.4867445,0.4286857,0.33978233,0.25331318,0.19366021,0.1678284,0.17183061,0.19776261,0.23738475,0.2826263,0.3257007,0.36000422,0.38168713,0.39166903,0.39354017,0.3909116,0.3848236,0.3772768,0.37195238,0.3729293,0.3798881,0.38819218,0.3927141,0.39148536,0.38598737,0.3787124,0.37169352,0.3663194,0.36307135,0.36176416,0.3616568,0.36184195,0.3621633,0.36512467,0.3793476,0.41423884,0.4691236,0.5232533,0.5469091,0.5230952,0.46271822,0.39427197,0.34314975,0.31731224,0.31052053,0.3111663,0.31066546,0.3051828,0.2955117,0.2843521,0.27413988,0.2658234,0.2591033,0.25371814,0.24957614,0.24672951,0.24488525,0.24374707,0.24426848,0.24860354,0.2606696,0.28017142,0.30240223,0.31617403,0.31612098,0.30357692,0.28912282,0.27994227,0.27838352,0.27948466,0.27753034,0.26870155,0.25446692,0.24141394,0.2371146,0.24626894,0.26635778,0.2912191,0.3123334,0.32526788,0.32906994,0.32900822,0.32989562,0.33434057,0.34084058,0.35291383,0.37923038,0.42534748,0.47839785,0.51108617,0.50129443,0.45208776,0.38731012,0.33414975,0.30622336,0.30287984,0.31369627,0.32855883,0.34427238,0.3671749,0.4018537,0.44067422,0.46340236,0.45548964,0.42001498,0.37546238,0.33959126,0.31930104,0.31216463,0.31239736,0.31702867,0.32570162,0.338001,0.35044542,0.35624233,0.3513886,0.3357819,0.31336334,0.2875112,0.26251155,0.24359816,0.23491518,0.23509888,0.23765187,0.23682398,0.23321795,0.23218979,0.23850472,0.25096604,0.26471278,0.27424455,0.27814898,0.27786264,0.27731985,0.27915388,0.2864402,0.30306554,0.33702806,0.39024082,0.45170712,0.49374738,0.49387395,0.45035896,0.3870201,0.33152166,0.29878345,0.28583342,0.2808105,0.272148,0.25288495,0.22303931,0.18911135,0.1624872,0.15402748,0.16784294,0.1976537,0.22843659,0.2450536,0.23981011,0.21615702,0.18536538,0.16162337,0.15770543,0.17783879,0.21465789,0.24945273,0.26593626,0.2590977,0.23804468,0.21523125,0.19894278,0.1908713,0.18886419,0.18950717,0.18974692,0.19035633,0.19629319,0.21321826,0.23956186,0.26465324,0.27444068,0.2626796,0.23585099,0.20968257,0.1993924,0.21030597,0.23766011,0.27241054,0.31455198,0.367939,0.43186903,0.4856466,0.50593865,0.4830668,0.4355553,0.38977885,0.36291555,0.3531251,0.3510597,0.35056725,0.35402516,0.3704861,0.40558758,0.45359924,0.4924244,0.4997373,0.46749917,0.41188195,0.3568581,0.3210882,0.30751255,0.31158867,0.32489774,0.34193563,0.35745934,0.36766636,0.36727777,0.3535435,0.3280275,0.29694688,0.26681557,0.241894,0.22533952,0.219317,0.22270012,0.2310264,0.23971151,0.25005355,0.26526204,0.28702998,0.3088214,0.32130405,0.31513265,0.28997254,0.2547547,0.22693671,0.2199008,0.23609464,0.26664487,0.30554208,0.35286427,0.40824077,0.4561651,0.47482288,0.4534397,0.40623772,0.3579478,0.32581505,0.31000876,0.30265105,0.29662776,0.2899841,0.28399128,0.28149533,0.2840744,0.2905822,0.29663268,0.29847515,0.29568562,0.29206112,0.29138672,0.29486355,0.3002514,0.3056613,0.31108394,0.31949702,0.33092356,0.3416361,0.34236503,0.32910633,0.30401972,0.27853975,0.26159737,0.25841975,0.2652096,0.2756813,0.2820963,0.28203413,0.27740073,0.27373144,0.27405524,0.27728048,0.2787861,0.27495727,0.26637143,0.25806752,0.25732863,0.2685671,0.29111335,0.32025436,0.3543388,0.39628068,0.44570687,0.4896721,0.5055634,0.48085985,0.42395768,0.36000097,0.30974495,0.28134406,0.2705157,0.2716661,0.28210905,0.30617526,0.3498969,0.4119172,0.47436786,0.50960094,0.5000035,0.45272025,0.39357272,0.34677944,0.32051483,0.30848706,0.30074346,0.29302463,0.2891314,0.2937943,0.3060485,0.31526887,0.3120538,0.29424527,0.27045736,0.24993001,0.23852997,0.23589815,0.23783325,0.23728676,0.22826348,0.21091199,0.19333337,0.18675481,0.19706303,0.22083962,0.24813549,0.2702233,0.28390005,0.29151246,0.2961744,0.2981765,0.29722974,0.29732656,0.3106788,0.34556738,0.3964987,0.43939984,0.45350468,0.43422624,0.3980299,0.36287534,0.33968398,0.32834342,0.32566425,0.32696435,0.32886246,0.3293579,0.32915547,0.32856235,0.32580864,0.31693983,0.30108097,0.28231904,0.26846346,0.26498625,0.27215183,0.2859573,0.30190435,0.31848776,0.3343916,0.3466591,0.34809092,0.3352668,0.31109098,0.28567016,0.26632044,0.2550453,0.24906625,0.24734563,0.2498169,0.25597167,0.26187956,0.26473185,0.26477453,0.26688477,0.27468124,0.28755328,0.2992389,0.3033055,0.2985618,0.29121327,0.28882492,0.29465637,0.30755392,0.33153358,0.37249908,0.42932227,0.4797093,0.49770537,0.47226095,0.4216012,0.37183428,0.3393766,0.32189882,0.3104882,0.3005791,0.29764584,0.3152982,0.36093548,0.42352247,0.4689056,0.46474293,0.4032506,0.31088236,0.22462215,0.16998734,0.15034468,0.15670411,0.17817442,0.20914756,0.2481486,0.2934544,0.33815584,0.37189308,0.3871268,0.38400653,0.36894247,0.3492955,0.33101645,0.31720677,0.3089178,0.30371165,0.2989065,0.29322398,0.289739,0.2917756,0.30102217,0.31448063,0.32823268,0.33865604,0.34509325,0.34811905,0.34881926,0.34886506,0.3524634,0.36945483,0.40806815,0.4650499,0.5172469,0.5365684,0.5106036,0.45412317,0.39434254,0.35000452,0.32281867,0.30489764,0.28962684,0.2748563,0.26084885,0.24729322,0.23328884,0.21861406,0.2046421,0.19352137,0.18662447,0.18513109,0.19037841,0.20422155,0.22512555,0.24941461,0.27284214,0.29630363,0.32001397,0.34053227,0.34733057,0.33501163,0.30766854,0.27947542,0.26190928,0.25859252,0.26489514,0.27374578,0.2793667,0.27879858,0.27293682,0.26556072,0.260479,0.25816146,0.25539672,0.24917424,0.24016075,0.23311132,0.23441596,0.24747051,0.27087322,0.2997785,0.33406615,0.38036475,0.44231176,0.5065052,0.5439845,0.5338492,0.48091304,0.41242912,0.35292748,0.31197992,0.2850496,0.26826534,0.26277098,0.27720466,0.31845304,0.38320026,0.45044902,0.49126422,0.48860475,0.45013592,0.40138015,0.3650702,0.34846282,0.34473124,0.34394732,0.3413699,0.33902368,0.3397191,0.34191072,0.33694363,0.31718755,0.28011742,0.23352294,0.18986891,0.16417967,0.16525127,0.19181955,0.230515,0.26534262,0.2866561,0.2957561,0.29837093,0.29830185,0.29430953,0.28411496,0.2680319,0.25074145,0.23906171,0.2386585,0.2511356,0.27537918,0.31108916,0.36091542,0.4223539,0.48093733,0.51214164,0.50135833,0.45541647,0.39898977,0.3535389,0.32751146,0.31717908,0.31553522,0.31447265,0.30679256,0.2886659,0.2632012,0.238734,0.2231846,0.21978188,0.2264154,0.23924673,0.25399175,0.2675099,0.27646026,0.27991426,0.27937105,0.2806394,0.2872859,0.29835203,0.30405676,0.29598257,0.27047554,0.23483886,0.19911766,0.17490393,0.16904937,0.18285052,0.20836562,0.2327739,0.24678163,0.25074914,0.25300884,0.26086012,0.27559623,0.291422,0.30090997,0.29944435,0.29012033,0.28206742,0.28449258,0.3001603,0.32729015,0.36663857,0.4198412,0.47971973,0.5233031,0.52785534,0.48993805,0.43177867,0.38110933,0.3522811,0.3419492,0.33927062,0.3386202,0.34200022,0.3603934,0.3986038,0.44894066,0.48415926,0.48157597,0.43755186,0.37491488,0.32032785,0.28761208,0.27380967,0.26982307,0.27178553,0.2809491,0.29905638,0.32007456,0.33103195,0.31946194,0.2829261,0.23061134,0.17638586,0.13169184,0.10326628,0.09296856,0.0974446,0.10844942,0.11937205,0.1313643,0.15221317,0.18689805,0.22887613,0.2634212,0.27736247,0.2691992,0.24847747,0.22960544,0.22185117,0.22699578,0.24314643,0.27505624,0.33007467,0.4067924,0.48110119,0.520718,0.5076886,0.4555577,0.39408314,0.34770188,0.32171783,0.30970898,0.30353144,0.2992469,0.29542878,0.29145202,0.28671494,0.28084764,0.27378988,0.26586816,0.25817525,0.252104,0.24867304,0.24760342,0.24798097,0.25001004,0.25620916,0.269861,0.28918326,0.30541918,0.30572477,0.28439358,0.24624985,0.20498562,0.17255455,0.15540889,0.1521454,0.15707028,0.16228545,0.16324104,0.1608722,0.1613021,0.1694388,0.18545677,0.20387052,0.2186899,0.22666545,0.22984682,0.23393744,0.24401765,0.26116785,0.28328514,0.3131957,0.3581514,0.41829705,0.4737586,0.49310872,0.46105495,0.39339328,0.32516173,0.28132865,0.2648783,0.26392856,0.26815805,0.27708176,0.30002272,0.34686172,0.41438004,0.4792212,0.50967747,0.49008206,0.4335625,0.37049437,0.32450545,0.30067638,0.29135808,0.28918597,0.2925303,0.3038672,0.32093203,0.335326,0.33378395,0.31179264,0.27494684,0.23804261,0.21187957,0.20271908,0.21030883,0.23214023,0.2606872,0.2878531,0.3075497,0.31970823,0.3269968,0.33196682,0.3358066,0.33846775,0.3401506,0.339875,0.33715653,0.3308002,0.32132736,0.31256053,0.31491283,0.34104538,0.39265856,0.45017114,0.4796606,0.45920864,0.3968171,0.3239093,0.26894525,0.2408694,0.23208886,0.2321059,0.23504072,0.23895496,0.24277289,0.24522002,0.24542762,0.2432894,0.23936673,0.23441254,0.2289582,0.22322704,0.2169218,0.20958547,0.20273048,0.2031989,0.22451143,0.2770342,0.35468435,0.42805836,0.46286723,0.44437155,0.38974094,0.33055615,0.28958395,0.26978326,0.2629275,0.26080945,0.25990698,0.2592295,0.2578092,0.2544296,0.24837905,0.24043913,0.23228575,0.22557916,0.2207943,0.2173327,0.21427979,0.21109183,0.21050714,0.22053522,0.25449672,0.31806126,0.3981278,0.46092725,0.47648215,0.44004926,0.37675634,0.31875613,0.28503177,0.27592102,0.28277102,0.29640326,0.31045365,0.32048717,0.32358238,0.3178036,0.30296746,0.2808144,0.25443313,0.2269241,0.20140284,0.18172424,0.17154671,0.17225349,0.18240215,0.20078814,0.22583814,0.25351474,0.27444544,0.2821037,0.27839407,0.27468935,0.279838,0.29449725,0.3111105,0.32218218,0.3232306,0.31334326,0.29270247,0.26278302,0.22716166,0.1931545,0.17013745,0.1655788,0.17963956,0.20469247,0.22887617,0.24290319,0.24334435,0.23526661,0.23102778,0.24877636,0.29892728,0.37361863,0.4422946,0.47447994,0.46002737,0.41731915,0.37264743,0.34193024,0.32488737,0.3152504,0.30898023,0.30509126,0.3020662,0.2970238,0.28749362,0.27432445,0.26016268,0.24743415,0.23521797,0.22132833,0.20434792,0.18544467,0.16666768,0.15113644,0.14410134,0.15267219,0.17725982,0.20667224,0.22066669,0.2080834,0.17408557,0.13766341,0.11372606,0.10767558,0.11481688,0.12841548,0.1412635,0.1500042,0.15638693,0.16689034,0.18663311,0.21370359,0.2402811,0.25704035,0.25965145,0.24921054,0.23355693,0.22212161,0.22351061,0.24088953,0.27692243,0.33253226,0.40193316,0.46454063,0.49393559,0.4778894,0.42950568,0.37541965,0.33520007,0.31199273,0.29997852,0.29403937,0.29590526,0.3138689,0.35640547,0.42127335,0.48677197,0.5218765,0.50749385,0.45262352,0.3867793,0.3372306,0.31480262,0.31299433,0.32236183,0.335314,0.35180357,0.36843333,0.37973928,0.3735204,0.34600648,0.30168405,0.25641704,0.22277392,0.20774983,0.20772178,0.21445544,0.2171927,0.21171218,0.20263183,0.20180547,0.21713848,0.24604578,0.27684712,0.29772004,0.3041598,0.29936755,0.29032663,0.28227344,0.27686104,0.27526662,0.2839278,0.31492916,0.37315884,0.44327497,0.4920577,0.4937555,0.45109534,0.39194176,0.34427747,0.31728253,0.30340302,0.2918931,0.27870348,0.26684263,0.26126802,0.2642031,0.2717389,0.27564466,0.26685604,0.24099636,0.20035012,0.15308642,0.1091966,0.0758281,0.057023373,0.0552599,0.07550063,0.11788845,0.17370902,0.22125323,0.24259365,0.23194452,0.20112717,0.16527839,0.13657108,0.12065185,0.11868275,0.12723123,0.13833962,0.14683263,0.15436709,0.16900152,0.19495837,0.22732766,0.254662,0.2677653,0.2653211,0.2532345,0.24146633,0.23885073,0.2514075,0.28137895,0.33176732,0.4002835,0.47391573,0.5246456,0.5293474,0.48633635,0.42033756,0.36044833,0.32407287,0.31112483,0.31493172,0.3288423,0.35200903,0.38748717,0.43549785,0.4853243,0.51504564,0.5076812,0.4644601,0.4060034,0.35572937,0.32575914,0.3149869,0.31552336,0.3215498,0.33056024,0.34137675,0.34919763,0.3458829,0.32762,0.3001058,0.2768798,0.26747367,0.27183053,0.2819054,0.2891135,0.28841048,0.27859414,0.26356533,0.2507178,0.24901135,0.26111516,0.28263447,0.30256,0.3120388,0.3064994,0.28966078,0.26904634,0.25262102,0.24383618,0.24469638,0.2632911,0.30862972,0.37828568,0.4447509,0.47528014,0.4556452,0.4050598,0.3532339,0.31817922,0.29771262,0.28328767,0.27104518,0.26263535,0.2599981,0.2619106,0.26563776,0.2685397,0.26944602,0.26820222,0.26541495,0.26171067,0.25764373,0.25382304,0.2519468,0.25508294,0.26688161,0.28776094,0.31097236,0.32321462,0.31184408,0.27454853,0.22033463,0.16466087,0.12035558,0.09648564,0.09428504,0.10800137,0.123685755,0.13111646,0.13017707,0.13307513,0.15058492,0.1832074,0.21967785,0.24696755,0.25888923,0.2582463,0.25487143,0.25777015,0.2721668,0.29603434,0.32999218,0.3768082,0.4374701,0.49581003,0.52573735,0.50918525,0.45499524,0.38958594,0.33740678,0.30630216,0.29164115,0.2861507,0.28848282,0.30599284,0.34785235,0.4111283,0.47263217,0.50107235,0.48265934,0.4315449,0.37693116,0.3384048,0.3186268,0.3101803,0.30809522,0.31168994,0.32288623,0.33890736,0.3525103,0.35242677,0.33467975,0.30391264,0.27312824,0.2518006,0.24284045,0.24113488,0.23856753,0.22741075,0.20586397,0.18163162,0.1696949,0.18192692,0.21746592,0.26155296,0.29671597,0.3131006,0.31341413,0.30649868,0.3001751,0.29559633,0.29184937,0.29410732,0.31631938,0.3673272,0.43452525,0.485221,0.4922488,0.45666072,0.40485373,0.36442688,0.34568873,0.34275913,0.3452549,0.34648144,0.34415957,0.33804217,0.3289293,0.31835482,0.30885032,0.30248144,0.29972562,0.29886496,0.29768604,0.29514027,0.291988,0.29069555,0.29441395,0.3063208,0.32445633,0.34113875,0.34396124,0.3276764,0.2967056,0.26442343,0.24075909,0.22967495,0.22871692,0.23498033,0.24509859,0.25596997,0.26399806,0.26718,0.26591572,0.2630444,0.26204637,0.26454505,0.27003136,0.27667215,0.2837803,0.29095873,0.29702613,0.301451,0.30899426,0.3321565,0.3789272,0.4399432,0.48486647,0.48693845,0.443827,0.38156042,0.32970405,0.3020868,0.29341048,0.29250562,0.29439792,0.30470088,0.33589938,0.39274058,0.46042165,0.5049563,0.4982133,0.43957916,0.3578659,0.28607348,0.24028449,0.21544392,0.20013048,0.18850946,0.18657906,0.2032231,0.24165905,0.29078254,0.3337557,0.3583338,0.36531198,0.36315954,0.35981226,0.35839793,0.3575308,0.35495806,0.34822738,0.33692658,0.32251838,0.30883884,0.30063215,0.30074957,0.30898932,0.32064807,0.3304746,0.3340789,0.33207223,0.32721445,0.32547948,0.33330873,0.36065724,0.41110602,0.475216,0.52457374,0.53268284,0.49346605,0.42888093,0.3677139,0.3260421,0.30209282,0.28681466,0.2740076,0.26191315,0.25133267,0.2430047,0.23716481,0.23297465,0.22890347,0.22347574,0.21632218,0.20835502,0.20062943,0.19232821,0.18144524,0.16834266,0.16006452,0.16668223,0.19148211,0.22364503,0.24472426,0.24415983,0.22695737,0.20801353,0.19840455,0.20125292,0.21231574,0.22502808,0.23086967,0.22522457,0.21130121,0.2012647,0.20665999,0.22975528,0.2614934,0.28938174,0.3055198,0.31007382,0.30930924,0.31054127,0.31883645,0.33539772,0.36242512,0.40129223,0.4482518,0.4865118,0.4965624,0.47060347,0.4225595,0.374143,0.34034884,0.3213997,0.31215525,0.30812165,0.31137314,0.32857215,0.3663325,0.41967404,0.46741247,0.48446476,0.4623617,0.41752067,0.37481156,0.3489922,0.3376323,0.3330485,0.33045805,0.33123383,0.33769858,0.3474896,0.35265365,0.3412594,0.30945006,0.26313677,0.21821924,0.18706292,0.17476745,0.17645983,0.1838448,0.1895173,0.1923062,0.19681008,0.20966737,0.23199497,0.25830337,0.27932215,0.29003286,0.2909439,0.28735128,0.28468028,0.2869999,0.29474822,0.3068974,0.32544002,0.3580787,0.40834287,0.46200523,0.48862728,0.46496192,0.3975848,0.31788215,0.2569177,0.2247739,0.21391445,0.21229768,0.21317823,0.21465611,0.21677579,0.2193888,0.22086562,0.21820962,0.2077393,0.18806459,0.16093653,0.13108008,0.10319104,0.080375314,0.06559374,0.0640808,0.08534356,0.13339593,0.20072977,0.2633365,0.29937813,0.2994875,0.27530077,0.24417926,0.22177373,0.2146681,0.22263014,0.2385879,0.2520158,0.25652024,0.25523546,0.25896272,0.27598393,0.30408952,0.3323729,0.34972444,0.35346076,0.34915876,0.3454975,0.3466885,0.35319468,0.36629876,0.39425078,0.44275156,0.5039204,0.5508104,0.557808,0.51986706,0.45797655,0.39976394,0.36145297,0.3436586,0.33965567,0.34573746,0.36382124,0.4006946,0.45719948,0.52099484,0.5651183,0.56635153,0.52189726,0.4533547,0.38957965,0.34852085,0.33239436,0.33435646,0.3480829,0.36895177,0.39208815,0.40911856,0.41026866,0.38930544,0.3473097,0.2928791,0.23877859,0.1988536,0.1832952,0.19360887,0.22010261,0.24722888,0.2642499,0.27233446,0.2816261,0.30074123,0.32938325,0.35896197,0.3804895,0.39025953,0.39103094,0.3876535,0.38312033,0.37935805,0.3805435,0.3967823,0.43365172,0.483366,0.52005345,0.52127635,0.48443845,0.43143788,0.38690436,0.36206532,0.35213307,0.34837115,0.3461646,0.3455962,0.34711385,0.3503019,0.3535527,0.35626566,0.35770908,0.35801217,0.356853,0.3551152,0.35384038,0.35402998,0.35549664,0.3578086,0.3621973,0.37051502,0.38292587,0.3939538,0.3955623,0.3818613,0.3548911,0.32312915,0.29735947,0.2851524,0.2880708,0.3010936,0.3155303,0.32395712,0.32448152,0.31990072,0.3142953,0.30917415,0.30458215,0.3002668,0.29770812,0.2987506,0.30494455,0.31592473,0.32999247,0.3471947,0.37262726,0.41307768,0.46642122,0.5146537,0.5335757,0.5121002,0.46262053,0.41024742,0.37400863,0.35706213,0.35174212,0.35038707,0.3531269,0.36787593,0.40178356,0.44892,0.48802105,0.49561575,0.4668858,0.41919157,0.37817693,0.35700014,0.35324064,0.35696387,0.36218563,0.36801597,0.37624845,0.38595712,0.39348316,0.39280665,0.38178506,0.36288056,0.34376583,0.33091655,0.32793754,0.33308208,0.34179547,0.3478978,0.34784973,0.34241307,0.33697882,0.33685777,0.3437103,0.35378954,0.3617746,0.36415818,0.36186326,0.35798407,0.35552135,0.3553351,0.358992,0.371268,0.39900494,0.4410297,0.48277155,0.50130635,0.48522937,0.44285348,0.3970321,0.3648218,0.35041925,0.3470179,0.34862468,0.35464677,0.3711517,0.40406284,0.45094573,0.49598643,0.5177179,0.50463676,0.46483257,0.41898558,0.38472936,0.36667106,0.3597598,0.35812142,0.3604864,0.3692124,0.3839477,0.399803,0.4076426,0.40291694,0.38709113,0.3682059,0.35287228,0.34484902,0.34356856,0.3472183,0.35375878,0.36319983,0.37839246,0.4018894,0.43084678,0.4537232,0.45782694,0.43874457,0.4059867,0.3738866,0.35117725,0.33543968,0.32029596,0.30556133,0.3026129,0.32873797,0.38926148,0.4655656,0.5184982,0.5176993,0.4626242,0.3839421,0.31599948,0.27718806,0.2652264,0.26975644,0.28350046,0.30750772,0.34949932,0.41046143,0.47521472,0.51194936,0.49740186,0.43372273,0.35011673,0.27774867,0.23329581,0.21504156,0.21405788,0.22237045,0.23792712,0.2616166,0.29286897,0.32469597,0.34872723,0.36123696,0.36673832,0.3710986,0.37638393,0.37917867,0.37625134,0.3671657,0.35635373,0.34909227,0.348595,0.3520948,0.35358277,0.34876803,0.3392974,0.3308525,0.32780775,0.33038107,0.33479026,0.33641878,0.3336406,0.33293578,0.34939858,0.39388022,0.45843688,0.5116973,0.52327126,0.48584756,0.42229518,0.3623815,0.32366857,0.30561855,0.29988408,0.2988368,0.29833177,0.2974845,0.2974566,0.30047223,0.306796,0.31423295,0.31891346,0.31913766,0.31597647,0.3124766,0.31042793,0.31035367,0.31283888,0.32033777,0.33446714,0.35234416,0.3650731,0.3639518,0.34677288,0.3201828,0.29372728,0.27441546,0.26431227,0.26184008,0.26311076,0.26327458,0.26001117,0.25574806,0.25657427,0.26630786,0.28259924,0.2985948,0.3082563,0.31068814,0.30905536,0.30890492,0.31327704,0.32355893,0.34013298,0.36955678,0.41884387,0.48547885,0.54703015,0.5734076,0.55026776,0.49053904,0.4242554,0.37444448,0.34850767,0.3397398,0.34094772,0.35089636,0.37814495,0.43122375,0.50458235,0.5711817,0.59638786,0.5645805,0.49134234,0.4117923,0.35429358,0.32808915,0.3258854,0.3365303,0.35199955,0.36891103,0.38367215,0.38942552,0.37789944,0.34777525,0.30775294,0.27169886,0.24832241,0.23771238,0.23438935,0.23256059,0.22903986,0.22467701,0.22470506,0.23538597,0.258198,0.28655633,0.3095764,0.31972456,0.31725892,0.30911878,0.304094,0.30849826,0.32298875,0.3447266,0.3731461,0.4135846,0.46726617,0.5203572,0.5451617,0.5249674,0.46932828,0.40859368,0.3658911,0.3439815,0.33066294,0.3158104,0.29907534,0.28662196,0.28382087,0.29030773,0.3006316,0.30770588,0.30668,0.29688454,0.28136793,0.26509914,0.25222632,0.244326,0.2418644,0.24623133,0.2617732,0.2887667,0.32097602,0.34336314,0.34623027,0.3287034,0.301734,0.2752956,0.25598943,0.2446109,0.23975122,0.23804802,0.2359779,0.23386516,0.23652582,0.2493401,0.27128792,0.29373303,0.30686298,0.3071997,0.29993567,0.2942293,0.2965399,0.30737054,0.32403633,0.34784555,0.38743982,0.4487742,0.5218179,0.57697034,0.5863915,0.5448442,0.47507295,0.40796396,0.3635292,0.34505448,0.34577048,0.35958454,0.38486746,0.4259782,0.48192587,0.54026574,0.5750826,0.5667637,0.5154601,0.44399023,0.3789955,0.33611932,0.31617495,0.31295225,0.32133114,0.33840978,0.36041045,0.37892854,0.38324916,0.36862066,0.34118104,0.31478825,0.29933846,0.2951815,0.2958362,0.29554096,0.29222956,0.2848103,0.27292266,0.2582998,0.24827486,0.25052443,0.2677454,0.29193366,0.31082705,0.31446457,0.30406106,0.2883675,0.27727446,0.2747021,0.28169084,0.3051853,0.35156515,0.4155887,0.46828604,0.48104203,0.44650474,0.38981935,0.34111068,0.31541696,0.30655694,0.3033354,0.2996329,0.29583547,0.2931836,0.29166114,0.29050657,0.2900593,0.29139662,0.29518947,0.30093434,0.30717823,0.3125101,0.31537387,0.31560805,0.3154557,0.32089248,0.33593932,0.35831463,0.37707493,0.38191602,0.36962333,0.34666017,0.32225993,0.30390024,0.29583648,0.29886198,0.310109,0.3228848,0.3315349,0.3340087,0.33253804,0.32949373,0.32626733,0.32327434,0.32120195,0.3208541,0.32266974,0.32735834,0.3344109,0.34342167,0.35534775,0.37760267,0.4180759,0.47496858,0.52776605,0.5495765,0.5278465,0.47540152,0.4186072,0.3771752,0.35536948,0.3463635,0.34328532,0.3458207,0.3624287,0.4008009,0.45522594,0.50164014,0.5136736,0.48463035,0.43225583,0.38291022,0.35132805,0.33788013,0.33584177,0.34049013,0.34999797,0.3635937,0.37778845,0.38569757,0.379527,0.35739195,0.3251715,0.2938538,0.27167198,0.26125002,0.2585266,0.25558913,0.24401939,0.22210014,0.19899094,0.1905101,0.20681633,0.24295099,0.28253713,0.3096136,0.31866375,0.3146006,0.30733335,0.30506393,0.3104829,0.32230496,0.3416414,0.374246,0.42182145,0.47058192,0.49562275,0.48169228,0.43789217,0.3899481,0.35794267,0.34535787,0.3435211,0.3435541,0.3408878,0.33455503,0.32488728,0.31333864,0.30300757,0.2974896,0.2985957,0.3041723,0.3091847,0.30875173,0.3016212,0.29064393,0.28192937,0.2816635,0.29394338,0.31604245,0.33935678,0.35194778,0.34872925,0.3329303,0.3141985,0.29895553,0.28875843,0.28177556,0.27676594,0.27343252,0.27115023,0.2694656,0.2680876,0.26764926,0.26813853,0.2694862,0.27127436,0.27403393,0.27827653,0.284372,0.29045627,0.29422915,0.29636547,0.30639204,0.33843842,0.39741495,0.46577755,0.5096707,0.50447553,0.45438823,0.3884623,0.33607912,0.3092117,0.3022231,0.3043629,0.3114174,0.32875934,0.36584833,0.42208517,0.4790969,0.50678617,0.48665965,0.42602825,0.3534863,0.2955432,0.26119873,0.2415544,0.22404887,0.20492162,0.19408184,0.20478511,0.24139775,0.2911652,0.33603668,0.36396495,0.3769753,0.38147882,0.3833746,0.38353857,0.38267338,0.3794814,0.37331113,0.36243019,0.34876776,0.33553728,0.32811484,0.32896718,0.33833078,0.3515676,0.36239192,0.36402717,0.35494968,0.33874226,0.3247815,0.32388386,0.34716734,0.39655742,0.45891622,0.50589186,0.5141644,0.48278865,0.4341451,0.3925645,0.36655226,0.34943533,0.33219838,0.31290066,0.2945954,0.28051022,0.27063903,0.263015,0.25496277,0.2450909,0.23350112,0.22165959,0.21134318,0.20354642,0.19798325,0.19340895,0.19040608,0.19379364,0.20940225,0.236866,0.26419377,0.2763248,0.26725972,0.2466199,0.23015244,0.22759885,0.23823635,0.25468484,0.26907328,0.2741808,0.26726043,0.25184196,0.2392732,0.23982479,0.2552689,0.27606273,0.29068515,0.29417706,0.29109207,0.2909356,0.30056712,0.3224044,0.35421312,0.3971685,0.4520513,0.51420164,0.56370336,0.5770092,0.5439613,0.47909537,0.4098655,0.3582418,0.33030912,0.32102248,0.32348523,0.3380982,0.3725032,0.4337462,0.51243854,0.58009195,0.6040532,0.57425696,0.5096057,0.44272494,0.39471066,0.36830434,0.35549966,0.34995827,0.35048726,0.3579581,0.36948228,0.37670305,0.3696612,0.3450259,0.30900335,0.27338976,0.24718314,0.23270047,0.2269969,0.2254261,0.2254818,0.22813898,0.2382102,0.25926402,0.28963733,0.3202678,0.34129396,0.348056,0.34490073,0.34015882,0.34078208,0.34720135,0.3551958,0.36163306,0.37231955,0.39929974,0.44632396,0.49566555,0.5157382,0.48802045,0.4234924,0.35368118,0.3037069,0.27947292,0.2721118,0.2717178,0.27280417,0.27325907,0.27079165,0.26158568,0.24156648,0.20954865,0.16953741,0.12981984,0.09820222,0.07803103,0.06727547,0.061676193,0.060079586,0.06725861,0.094054796,0.1453792,0.21374516,0.2746674,0.30657887,0.30056024,0.26916552,0.23074639,0.20251806,0.19221175,0.19933927,0.2153634,0.22825505,0.23167998,0.22972427,0.23340052,0.24960518,0.274274,0.29690528,0.3087907,0.31014183,0.30729958,0.3081299,0.31595254,0.3313023,0.35615408,0.3976362,0.4583877,0.52580017,0.57129574,0.5709708,0.52526957,0.4587849,0.40066898,0.36485574,0.34967697,0.34657764,0.35258326,0.37142065,0.41035858,0.4683546,0.5293551,0.56615585,0.558309,0.50804293,0.43838108,0.3772469,0.3401253,0.3279345,0.3326013,0.34650967,0.36501813,0.38461864,0.39911819,0.39848706,0.3750455,0.32836738,0.26858917,0.2114384,0.17287809,0.161741,0.17512561,0.1996134,0.21925372,0.22746181,0.23009406,0.23984377,0.26356617,0.29722235,0.3285974,0.3472892,0.35035706,0.3431046,0.33328006,0.32646462,0.32544628,0.33471987,0.36288962,0.41302773,0.4724481,0.5125939,0.51183814,0.4723542,0.4186597,0.37484416,0.34975943,0.33873236,0.3341918,0.33225515,0.3313395,0.330655,0.3290994,0.326695,0.3244425,0.3237681,0.32488313,0.32669553,0.327826,0.32804886,0.3277636,0.32804012,0.3301187,0.33698356,0.35006166,0.36722326,0.37960863,0.37777388,0.35692945,0.32164976,0.28212124,0.24921258,0.23129207,0.23138541,0.24728374,0.26992893,0.2898244,0.30052826,0.30316496,0.3012967,0.29829207,0.2944612,0.290187,0.28662303,0.28598627,0.28975114,0.29757226,0.3090434,0.32582,0.3552543,0.40237662,0.46163067,0.50997883,0.5235978,0.4951582,0.44235238,0.39130938,0.3584176,0.34374425,0.33823904,0.33582222,0.33815244,0.35515475,0.39263615,0.44265136,0.48042738,0.4835302,0.4496833,0.39989164,0.35947847,0.33990344,0.33706018,0.34129944,0.34785601,0.35681796,0.36954835,0.38341662,0.39214742,0.38865367,0.3708547,0.3424622,0.3115627,0.28518116,0.2679434,0.25977743,0.2575412,0.25600925,0.2529389,0.25086448,0.25535893,0.26900083,0.28849915,0.3073041,0.3208193,0.32858476,0.3328912,0.33600378,0.33903208,0.34244418,0.34866846,0.3640373,0.39462647,0.43723455,0.47464898,0.48543906,0.46127996,0.4140334,0.36602116,0.3332967,0.31880596,0.3164899,0.31908965,0.32267237,0.32617342,0.33001205,0.33360434,0.33578873,0.33537146,0.33252168,0.3282958,0.32380167,0.3199384,0.31740835,0.31709525,0.31993738,0.32690942,0.33916843,0.35509738,0.37000278,0.37584826,0.36915103,0.35236678,0.3339436,0.31995615,0.31235012,0.3088076,0.3068199,0.30479303,0.30281797,0.3019278,0.30328217,0.30690494,0.3114582,0.31481764,0.31514046,0.31181753,0.3060357,0.30001593,0.29476246,0.2896839,0.2868545,0.29615375,0.33158502,0.39440086,0.4621811,0.4966005,0.47475052,0.4056597,0.3243323,0.2613511,0.22743101,0.21441124,0.21158512,0.21679668,0.23945372,0.29194847,0.3728443,0.45633197,0.5019763,0.48423433,0.41243222,0.32277367,0.24905767,0.20330574,0.17845307,0.16489385,0.16069227,0.17252974,0.20505446,0.25527334,0.30751228,0.34626675,0.36162135,0.3588653,0.34734154,0.33829737,0.3345175,0.33602807,0.3378798,0.33807257,0.33517757,0.33163252,0.32910708,0.3294531,0.33244166,0.3367649,0.34027097,0.34121248,0.33979902,0.33707747,0.33500186,0.3368603,0.3502935,0.38490787,0.44125637,0.5026334,0.53904814,0.5311833,0.4841121,0.42454186,0.37683448,0.3502462,0.33930779,0.33549282,0.33351,0.33197752,0.33122706,0.33128738,0.33036083,0.32463577,0.31036976,0.28735122,0.259986,0.23476337,0.21603203,0.20420091,0.1982994,0.19930458,0.2114389,0.2361205,0.2669107,0.28827652,0.28699914,0.2614386,0.2237976,0.18967849,0.16847016,0.16085227,0.16126436,0.163297,0.16197552,0.15859102,0.15931366,0.17171289,0.19671148,0.22710562,0.25203922,0.26502505,0.26796693,0.26794204,0.27206162,0.2809334,0.29258046,0.3062013,0.3327428,0.38134134,0.4489213,0.50510997,0.5189002,0.4789629,0.40973625,0.34483567,0.30657303,0.29411745,0.29604015,0.30357143,0.31760275,0.3485594,0.4016705,0.4671173,0.5146375,0.5177995,0.47235417,0.4040271,0.34410718,0.30997685,0.29847002,0.2989147,0.30454496,0.3154504,0.33359364,0.35643053,0.375337,0.37986398,0.36534297,0.33568433,0.30057433,0.26842234,0.24390477,0.22606482,0.21104777,0.1930154,0.17152311,0.15328687,0.15076666,0.1701936,0.20597774,0.24299788,0.26897922,0.28129563,0.28541803,0.28731406,0.2889963,0.29103318,0.29754397,0.3206778,0.37149134,0.4470059,0.51894075,0.5510864,0.52475727,0.45664838,0.3820323,0.3286784,0.3025103,0.29508236,0.29739007,0.30356094,0.31023753,0.31306958,0.31013906,0.30147,0.28995398,0.27704787,0.26361054,0.24926756,0.23506176,0.22189999,0.21066312,0.20285575,0.20244287,0.21550912,0.2427379,0.27592006,0.29840025,0.29952332,0.28045455,0.25465682,0.23433125,0.2250014,0.22388917,0.22550315,0.22463883,0.21955399,0.21358855,0.21383758,0.22565477,0.24766614,0.27145818,0.28791985,0.29268202,0.28868723,0.28214887,0.27875543,0.28090456,0.29146585,0.31720045,0.36747718,0.44065723,0.5152049,0.55534,0.538683,0.4728494,0.3919656,0.32852864,0.2971902,0.2917451,0.30087116,0.31765518,0.34659004,0.39467934,0.45999384,0.5208502,0.5459048,0.5169893,0.4453752,0.36501256,0.30630112,0.28078035,0.2793269,0.28947628,0.30179584,0.31636217,0.33217216,0.3472812,0.35284856,0.34381258,0.31909013,0.28614256,0.25256562,0.22532356,0.20811047,0.20238243,0.20567048,0.21184628,0.21679349,0.22233689,0.235497,0.26028773,0.2921627,0.3203764,0.33446777,0.332067,0.31902242,0.3065608,0.3015894,0.30567256,0.31845644,0.34754768,0.39742658,0.4582611,0.4988384,0.494499,0.44567326,0.38082102,0.3285165,0.30118862,0.29396912,0.29722872,0.30378422,0.30986273,0.3138181,0.31523386,0.31505752,0.31456283,0.31506193,0.31628633,0.31751123,0.3171947,0.31542814,0.3126131,0.31113422,0.3132451,0.3222997,0.33777556,0.35473132,0.36221144,0.35226652,0.32412246,0.2872143,0.2529041,0.23027152,0.22267754,0.22975095,0.24725747,0.26756248,0.28228572,0.28629842,0.28137162,0.27405408,0.2711327,0.27446902,0.2810763,0.28680658,0.2904313,0.29436684,0.3008006,0.31150123,0.32871142,0.36086556,0.41185632,0.47370818,0.51851916,0.52264494,0.48183975,0.4200547,0.3647486,0.33205107,0.3195511,0.31820118,0.3211478,0.33068764,0.35704294,0.407046,0.47099933,0.5198281,0.5258823,0.48413613,0.41713205,0.35499582,0.31594494,0.30113086,0.30250666,0.31245375,0.32673636,0.34393492,0.3601686,0.36760485,0.35664928,0.3248982,0.27989584,0.23649393,0.20640849,0.19441108,0.19628318,0.2044812,0.21069281,0.2126164,0.21383256,0.22231512,0.24162869,0.26814747,0.29217622,0.3066815,0.31078276,0.30972585,0.30814216,0.3076137,0.30830833,0.31548584,0.34162238,0.39577988,0.4694023,0.5311067,0.5479109,0.51014024,0.44028983,0.37241164,0.32799926,0.30811024,0.302835,0.30293515,0.30339038,0.30269182,0.3015878,0.3016617,0.3040085,0.3073326,0.30971387,0.3095837,0.30725646,0.30380318,0.30025598,0.29756996,0.29705238,0.30171975,0.31488004,0.33604154,0.35801706,0.36888877,0.3623068,0.34156355,0.31803963,0.30004284,0.28973448,0.28407028,0.28075433,0.27921402,0.27983198,0.2824982,0.28636134,0.29041922,0.29357898,0.29515803,0.29461813,0.29259077,0.29090098,0.293341,0.30145347,0.3145554,0.3301855,0.35354128,0.39307866,0.45026326,0.5048731,0.526047,0.4966254,0.43001747,0.3584949,0.30725384,0.28139177,0.27164844,0.26937112,0.2745875,0.29663563,0.3447818,0.4151815,0.48348403,0.51664156,0.49660465,0.43382478,0.3571374,0.29121065,0.24526252,0.21646537,0.20135127,0.19919305,0.21367715,0.24490814,0.28808975,0.32886037,0.35559294,0.363621,0.36061716,0.35491014,0.35127816,0.34849417,0.3448639,0.34040773,0.3360159,0.33297977,0.33157912,0.33291352,0.33684707,0.34305832,0.34905326,0.35305938,0.35330358,0.35032907,0.34487808,0.33914545,0.33755088,0.34838927,0.38135314,0.4349017,0.4917139,0.5212496,0.5064482,0.45266923,0.38757026,0.33444694,0.30354953,0.28994468,0.28665784,0.28837368,0.29257318,0.29670346,0.29768324,0.29290012,0.2810692,0.26339242,0.24209191,0.21941458,0.19534463,0.16912962,0.1406679,0.1146895,0.100216806,0.1089653,0.14517133,0.20054162,0.2530001,0.28229392,0.2811314,0.25983614,0.23399113,0.214257,0.20218986,0.19345833,0.18298239,0.16827561,0.15366559,0.14871351,0.1623091,0.19419591,0.2333389,0.2655511,0.2823897,0.28560755,0.2819011,0.27839366,0.27675655,0.2786852,0.2872141,0.31441057,0.36490142,0.42933515,0.476014,0.48109046,0.44361767,0.39066446,0.3484937,0.32699275,0.31947765,0.31618235,0.31563568,0.32396913,0.3544015,0.41102514,0.48154387,0.53183305,0.5331929,0.4814924,0.40531144,0.3393683,0.30289236,0.29246768,0.29547873,0.30343366,0.3152951,0.3320719,0.35008654,0.35952607,0.35150662,0.32451054,0.28734896,0.25152165,0.22557724,0.21097557,0.20554483,0.20489247,0.20547803,0.20516008,0.20592089,0.21185875,0.2266291,0.24872787,0.27304885,0.29357445,0.30826864,0.31895474,0.33040115,0.3451828,0.3625518,0.3804691,0.40393052,0.44185853,0.49497366,0.5419912,0.5522285,0.51068145,0.43467376,0.35797223,0.30548528,0.2804189,0.27325013,0.27435264,0.27923515,0.28599763,0.2923595,0.29469064,0.28912786,0.2734462,0.24837585,0.21740204,0.18456705,0.15311281,0.12502123,0.10252547,0.08949659,0.09227493,0.11767888,0.1656416,0.22431473,0.27174917,0.29109785,0.2803137,0.25278065,0.22358777,0.2015857,0.18731654,0.17745076,0.16767108,0.15618996,0.14748251,0.15093446,0.17343251,0.21107101,0.25065103,0.27936566,0.2932445,0.29666567,0.29578865,0.29416037,0.2935271,0.298515,0.31933412,0.366793,0.4392991,0.5143551,0.55826455,0.5508025,0.5006452,0.4369801,0.38581538,0.3564491,0.3438128,0.34143195,0.34883487,0.3744224,0.42626584,0.50039864,0.5712262,0.60363436,0.5767663,0.5013563,0.4110007,0.33733425,0.29387066,0.27588713,0.27449584,0.28307614,0.30171457,0.32823247,0.35713446,0.3752273,0.3733587,0.34943914,0.31310308,0.27596626,0.24758963,0.23160078,0.22658992,0.22749084,0.22667317,0.22070055,0.21207768,0.21022268,0.22232564,0.24855894,0.27993584,0.30507538,0.3171357,0.3171017,0.31090787,0.30384207,0.3005418,0.3086983,0.34030417,0.39830837,0.46515748,0.50584704,0.49670482,0.4441479,0.3802531,0.3337872,0.31321797,0.3094813,0.31091714,0.3120034,0.31251252,0.31417987,0.3175845,0.3221614,0.32560667,0.32608926,0.3225845,0.31666693,0.3105679,0.3068676,0.30578414,0.3068258,0.30948004,0.31645474,0.32899413,0.34390512,0.35024735,0.3390933,0.30931816,0.27113226,0.23700683,0.21649432,0.2130171,0.22482127,0.2459385,0.26732716,0.28252205,0.28963163,0.2917328,0.29148567,0.2898735,0.2865361,0.282344,0.2787645,0.27766147,0.27961767,0.28520653,0.29499412,0.31376588,0.35049617,0.41037586,0.48294196,0.5386259,0.5500707,0.51196826,0.44819912,0.38857186,0.3506783,0.33283505,0.326008,0.3243276,0.33074233,0.3549327,0.4011102,0.45758143,0.4955283,0.49131605,0.444921,0.38235804,0.33225417,0.30805874,0.30536044,0.31411377,0.327413,0.34300587,0.35947454,0.37290654,0.37590763,0.36213514,0.33083656,0.28986332,0.25045475,0.2226082,0.20986904,0.2102006,0.21673532,0.2226515,0.22486846,0.22640698,0.2331929,0.24841748,0.26938745,0.28890452,0.30118462,0.30511582,0.3046418,0.30405313,0.30549312,0.30951944,0.32024744,0.3470218,0.39646736,0.45955643,0.5092806,0.5180903,0.48109308,0.41955888,0.36326316,0.32816824,0.31292918,0.3075045,0.3042406,0.30012557,0.2956793,0.29223406,0.2912463,0.2928165,0.29635045,0.29986334,0.30205706,0.30208233,0.3012272,0.30128396,0.30430698,0.31312647,0.33352724,0.37399653,0.43438622,0.49795723,0.5331326,0.51885146,0.46068668,0.38877383,0.33176067,0.30043995,0.2883899,0.28512162,0.28433833,0.2843676,0.28546932,0.2880145,0.29170716,0.2954118,0.29739317,0.2966702,0.2938658,0.29122177,0.2908536,0.29302657,0.29723027,0.3060912,0.32841203,0.3728876,0.4350071,0.49139795,0.51247615,0.48720345,0.43133852,0.37501976,0.33816466,0.32291827,0.31942496,0.3184917,0.3153074,0.30896464,0.29953325,0.28809404,0.2764562,0.2672061,0.26180553,0.25964323,0.2585974,0.25683472,0.25456595,0.25296536,0.25448892,0.26149893,0.27737448,0.301077,0.32640752,0.3411566,0.3381373,0.3188868,0.29432783,0.27395335,0.26109266,0.25254926,0.2438585,0.23271054,0.2191477,0.20481718,0.19111435,0.1787684,0.16697587,0.15451784,0.14041246,0.1252049,0.10996605,0.0957129,0.08247221,0.070376255,0.059950873,0.05213472,0.047158312,0.04434048,0.042452116,0.040544655,0.038190767,0.035457738,0.032587264,0.029954711,0.027860196,0.026515303,0.025798412,0.025356108,0.024673788,0.02344239,0.021655647,0.019638566,0.01774064,0.016120495,0.01464576,0.013087665,0.011338751,0.009507666,0.007817268,0.006462188,0.005514772,0.0049292273,0.004569497,0.0042811693,0.00394172,0.0035098994,0.0030071756,0.002487041,0.0019943423,0.0015649722,0.0012269435,0.0009977598,0.0008713575,0.00082052243,0.0008126274,0.0008194803,0.00081555825,0.0007787154,0.0007008259,0.00059525756,0.00048418227,0.00038303263,0.00029661215,0.0002321322,0.00020251912]