[0.0015128535,0.0014829263,0.002879357,0.010121088,0.031787094,0.07442633,0.13575709,0.19865406,0.24097835,0.2483062,0.22569998,0.1921093,0.16780077,0.16271758,0.1749882,0.19891112,0.22895189,0.26118156,0.28717926,0.29794252,0.28803304,0.26343375,0.23756705,0.22358187,0.22523254,0.23501511,0.24243693,0.24377094,0.24904294,0.27449605,0.32805774,0.39667845,0.44913232,0.45671836,0.413766,0.3450992,0.28872547,0.27117956,0.29052746,0.3209401,0.3337437,0.3157716,0.27483383,0.22782946,0.18894327,0.16244183,0.14573248,0.13350867,0.12228402,0.11091002,0.10001569,0.09009093,0.08133373,0.07376209,0.06762996,0.06296786,0.060162622,0.061071735,0.07153776,0.098730825,0.14656465,0.20588954,0.25879177,0.28856993,0.29700994,0.2995627,0.31141344,0.33204797,0.34982398,0.35430744,0.3442044,0.3257225,0.30701455,0.29388437,0.28702375,0.28199613,0.2737114,0.26103553,0.24720846,0.23566365,0.22589827,0.21475981,0.19912656,0.17958803,0.15940775,0.14361656,0.1353668,0.13436384,0.13590355,0.13369861,0.12351322,0.10571393,0.08561317,0.07146529,0.072288744,0.0929841,0.13113458,0.17533612,0.21129058,0.2297628,0.23262422,0.2296009,0.22904587,0.23142938,0.23069912,0.22201265,0.20610745,0.18824632,0.17331584,0.16315316,0.15639557,0.15135483,0.14808613,0.14982583,0.15906493,0.17418683,0.1869387,0.18825965,0.1743849,0.15119672,0.13004069,0.12008858,0.12254939,0.13019465,0.13403668,0.12957926,0.121842176,0.121017545,0.13566858,0.16429289,0.19705993,0.22209083,0.23393917,0.23365885,0.22548707,0.21256937,0.19692439,0.17975938,0.1620905,0.14434336,0.12732139,0.112202756,0.10026052,0.09161696,0.08527267,0.0805866,0.07865239,0.08298192,0.096508704,0.11894286,0.14439406,0.16508643,0.17573124,0.17740913,0.17533185,0.1740567,0.17408867,0.17216633,0.1655891,0.15406932,0.14020109,0.12640695,0.11427172,0.10408688,0.09588871,0.089398414,0.08516262,0.08556976,0.095951796,0.12006179,0.15607977,0.19256896,0.21687306,0.22169375,0.21340096,0.20600481,0.21468718,0.24495673,0.28876194,0.3299372,0.35259378,0.3538492,0.33900276,0.32009745,0.3029255,0.2901524,0.27816275,0.2646705,0.24805607,0.22928922,0.20929237,0.18880947,0.16886675,0.1510657,0.13687833,0.12683006,0.11995226,0.11441868,0.10751776,0.09745616,0.08428997,0.071197465,0.06241208,0.061495077,0.069315545,0.08502517,0.10618194,0.13118592,0.16057521,0.19820161,0.24549468,0.29489768,0.32901976,0.33129,0.30038467,0.25402853,0.22111072,0.22415185,0.26810077,0.33537343,0.39606595,0.423678,0.41113952,0.37177482,0.32643303,0.2875829,0.2549723,0.22360475,0.19325764,0.16870858,0.15387875,0.14746766,0.14593671,0.14834426,0.1575768,0.1759731,0.20120199,0.22653556,0.24606526,0.2578769,0.26341653,0.2641115,0.26156607,0.25962427,0.26504946,0.28152943,0.30375975,0.31629023,0.30466506,0.26570684,0.21184741,0.16070141,0.12597524,0.112920135,0.123249136,0.1550814,0.20104076,0.24531348,0.2720544,0.2739368,0.25696814,0.23247267,0.20908453,0.1887184,0.1699193,0.15183264,0.13677032,0.13166949,0.14757949,0.19397001,0.2684357,0.35088098,0.41255602,0.4351547,0.42274928,0.3931032,0.35965142,0.32222357,0.27718848,0.22912405,0.19423018,0.18717255,0.21064006,0.25070277,0.28717542,0.30624494,0.30776647,0.30176863,0.2971069,0.29755282,0.3010342,0.30513382,0.30663243,0.3028678,0.29250598,0.27672124,0.25896034,0.24117853,0.22436036,0.20844424,0.19677283,0.19227706,0.19525705,0.19771135,0.19043428,0.16950041,0.14445636,0.13134967,0.14207649,0.17398447,0.21274424,0.24350627,0.2597083,0.26421806,0.2615964,0.2546488,0.24305122,0.22855227,0.21454789,0.20498402,0.19992936,0.19626324,0.1903105,0.18045098,0.16761643,0.15450846,0.14611067,0.14788924,0.16204618,0.18373235,0.20309238,0.21233009,0.21066296,0.20320946,0.19454204,0.1863182,0.17943394,0.17728285,0.18439983,0.20102982,0.2227455,0.24260385,0.25634062,0.26131383,0.256456,0.24189131,0.22095072,0.19894357,0.1808546,0.16892792,0.16291492,0.16059783,0.15872665,0.1536064,0.14275067,0.12622099,0.107168384,0.09144323,0.08694658,0.10181564,0.13855648,0.18896043,0.233482,0.25387228,0.24431282,0.21722908,0.19003272,0.17391211,0.16609703,0.15889983,0.1466596,0.13079788,0.115190364,0.10308373,0.09508685,0.09036407,0.088257454,0.09074963,0.104272485,0.13635428,0.18696374,0.24221484,0.27865174,0.28014323,0.2503961,0.21440542,0.1995225,0.21877725,0.2604323,0.3018538,0.32515413,0.33141637,0.3327212,0.3411568,0.3568121,0.3716308,0.37606657,0.36744022,0.3495834,0.3290957,0.31083098,0.2967535,0.28826848,0.2873366,0.2965131,0.31559238,0.34024444,0.36123776,0.3683307,0.35478377,0.3225239,0.2817016,0.24576573,0.22349995,0.21561398,0.21633609,0.22097224,0.23049134,0.25305045,0.29417565,0.34912804,0.39896262,0.4244417,0.41808328,0.38976097,0.3547512,0.3234681,0.29788277,0.276625,0.2593858,0.24755806,0.24440646,0.25216004,0.26955,0.28874657,0.29956877,0.29512677,0.2762243,0.24964805,0.22428687,0.20668073,0.1982388,0.19542001,0.19412588,0.19348133,0.195226,0.19954789,0.20308411,0.20262279,0.19796862,0.19259386,0.18914767,0.18829262,0.18794285,0.18608765,0.18121068,0.17398323,0.16521938,0.15573442,0.14573403,0.13873975,0.14128035,0.159684,0.19247778,0.2303496,0.26053095,0.27579334,0.27453008,0.26049232,0.2386846,0.21819048,0.20954096,0.22022228,0.24694836,0.2750318,0.28848496,0.2815378,0.26524416,0.2588791,0.27590033,0.312812,0.3511579,0.37582827,0.38830772,0.40840605,0.4499512,0.5067583,0.55250686,0.5649537,0.5398446,0.49131787,0.4380385,0.3921119,0.35550746,0.32375658,0.29345754,0.26658618,0.24823153,0.2401228,0.23744595,0.23317295,0.22399338,0.21277536,0.20425697,0.20055036,0.19898517,0.1950186,0.18696976,0.17912221,0.18030454,0.19562434,0.22027339,0.23867969,0.23665057,0.21111841,0.17391391,0.14020312,0.118481,0.10630386,0.098197706,0.09434542,0.10387945,0.13943094,0.20435965,0.2848169,0.35117605,0.37721622,0.3573275,0.31353486,0.27814242,0.27327928,0.29775763,0.33827925,0.3846208,0.44016334,0.5081509,0.5808993,0.63403386,0.64687204,0.6140414,0.552905,0.48646066,0.43205237,0.39063457,0.3551073,0.31885454,0.285459,0.2653342,0.268116,0.29448727,0.33389875,0.37144813,0.3961403,0.40877756,0.4155531,0.41995034,0.4166788,0.40018067,0.37287554,0.34653905,0.3334181,0.3364271,0.34671977,0.34885618,0.33250222,0.2997489,0.26288566,0.23294272,0.21047829,0.18833415,0.1625825,0.14126958,0.14209192,0.17739058,0.24223565,0.31029668,0.35211137,0.3512915,0.3181498,0.2784258,0.2583363,0.26623908,0.29367372,0.32846513,0.37007976,0.42846712,0.5056017,0.5853977,0.63947994,0.64994526,0.61654323,0.5544502,0.47947237,0.40475574,0.33707353,0.27975622,0.2323168,0.19539654,0.17298193,0.17019005,0.18709153,0.21404195,0.23821358,0.250609,0.25236732,0.24881029,0.24492829,0.24093883,0.23519248,0.22659661,0.21663918,0.20852838,0.2042336,0.20258892,0.19902854,0.18962686,0.17364484,0.1544099,0.1354666,0.118647486,0.10366578,0.09271618,0.09271727,0.11542203,0.1674524,0.24247861,0.31799042,0.36987433,0.3858007,0.37220576,0.34358975,0.31232646,0.28327394,0.2573565,0.23474337,0.21608709,0.20179598,0.19169402,0.18528678,0.1819946,0.1804872,0.17830236,0.17231749,0.16141014,0.14739083,0.13431038,0.12490994,0.11937987,0.11573132,0.11227438,0.10872639,0.106698334,0.10882672,0.11760513,0.13300668,0.15141052,0.16674326,0.17421359,0.17323248,0.16677006,0.15852845,0.15021084,0.14202891,0.13417077,0.12892137,0.13135915,0.14897381,0.187023,0.24282157,0.30280837,0.34932753,0.37012014,0.36355063,0.33412156,0.28709313,0.22792256,0.16514267,0.10996414,0.07072505,0.048832744,0.039189626,0.03577434,0.035886995,0.04262523,0.061487626,0.095080435,0.13742094,0.17667653,0.20273232,0.214787,0.21916485,0.2231948,0.22975226,0.23971765,0.2522595,0.26610646,0.2762216,0.2798021,0.27771425,0.27672696,0.28156632,0.29287836,0.30686703,0.31961098,0.3286173,0.33467737,0.3436285,0.36596957,0.4088583,0.46703386,0.51960444,0.54347324,0.5285455,0.4861847,0.43749285,0.3986024,0.37053058,0.34629273,0.32181898,0.30447435,0.3061412,0.33167374,0.36999682,0.40135333,0.41016212,0.3943516,0.36226463,0.32442877,0.28817287,0.2567716,0.23279376,0.21950756,0.22228079,0.24222033,0.27381894,0.30207184,0.31428352,0.30383623,0.27623835,0.23992942,0.20501482,0.17682712,0.15703349,0.144989,0.14404775,0.16550867,0.21829693,0.29683045,0.37341404,0.41650915,0.4084383,0.35714903,0.2838529,0.21203859,0.15823337,0.1328737,0.140211,0.17970525,0.24643911,0.32959235,0.41066507,0.46664372,0.47927067,0.44552815,0.37849918,0.30102542,0.23425841,0.19302432,0.18490644,0.21145606,0.26518667,0.32812583,0.37809622,0.4022623,0.4051278,0.4041659,0.4126567,0.43003237,0.44132292,0.43298638,0.4011028,0.35464704,0.30481014,0.25979027,0.22175515,0.19104852,0.16884638,0.1594804,0.1680287,0.19562067,0.2347213,0.27199396,0.29561773,0.3022236,0.2958006,0.28259262,0.26640275,0.24810219,0.22791208,0.20758401,0.19132257,0.18283115,0.18253034,0.18576711,0.18797003,0.18868715,0.19418259,0.2095991,0.23400064,0.2572564,0.26986095,0.26801252,0.25647303,0.24055833,0.22277169,0.2015022,0.17572361,0.14881356,0.13071941,0.13351692,0.1619112,0.20554364,0.24307747,0.25587937,0.23994583,0.20620453,0.16993268,0.14085859,0.11936534,0.10430563,0.10023744,0.120357454,0.17314446,0.25201198,0.33068433,0.38112935,0.3864809,0.3523102,0.2955454,0.2366697,0.18633224,0.1492179,0.12824883,0.13422783,0.17672153,0.2525873,0.3359089,0.39393958,0.40505126,0.37160298,0.30967617,0.23941703,0.1777501,0.13877441,0.13033001,0.15229052,0.1977203,0.25733742,0.31967333,0.371106,0.39796582,0.3952912,0.36959663,0.33463427,0.30099714,0.27335307,0.254583,0.24934113,0.2613598,0.28745386,0.31839433,0.34453925,0.36120364,0.3697789,0.37360266,0.37694773,0.38086775,0.3855064,0.38696924,0.38068572,0.3616763,0.330226,0.29230776,0.25683358,0.23067938,0.2172879,0.21852179,0.23460273,0.26112664,0.2889973,0.30841616,0.31508029,0.3102444,0.29782894,0.2806625,0.26051068,0.23905788,0.21851502,0.20143427,0.18912666,0.18122846,0.17496033,0.16810338,0.16156693,0.16167994,0.1768247,0.20941545,0.25091383,0.2838519,0.29565158,0.28615126,0.26822215,0.25446472,0.24958451,0.24692631,0.23679347,0.21495949,0.18998389,0.1781541,0.19084762,0.22294249,0.2562903,0.2740302,0.27229425,0.2584819,0.24147463,0.2249403,0.20811214,0.19035931,0.17410485,0.16461442,0.16686417,0.18105279,0.20078237,0.21566159,0.21839963,0.20830442,0.19038709,0.16946073,0.14785473,0.12540682,0.10322335,0.08599148,0.08316203,0.10459652,0.15246771,0.21591163,0.27544832,0.31577894,0.3335919,0.33525097,0.3281211,0.3179122,0.3114948,0.31911004,0.34689438,0.3884778,0.42194816,0.424682,0.38738418,0.3229072,0.25477687,0.2062342,0.19112377,0.21206962,0.25902188,0.30991808,0.34260583,0.34616292,0.32781455,0.30253068,0.2821323,0.26877633,0.2588114,0.24876899,0.23889269,0.23353821,0.23851822,0.25685874,0.2844809,0.30983165,0.32044047,0.31263015,0.2947012,0.2802533,0.27593157,0.27889642,0.28189245,0.28228268,0.28091145,0.27937844,0.2768494,0.2750243,0.27886626,0.29605964,0.328662,0.37124372,0.41025186,0.43199077,0.42728052,0.39648354,0.348238,0.29573488,0.25046697,0.21764965,0.19630986,0.18257527,0.17384101,0.17006631,0.17170149,0.177054,0.18096489,0.17851627,0.1690525,0.15926228,0.15877946,0.1735897,0.2004202,0.22974126,0.25374436,0.27227834,0.29143602,0.31535134,0.3415892,0.36153904,0.3678219,0.35852754,0.33872697,0.3165361,0.29894587,0.28750455,0.2782563,0.2663639,0.25369307,0.24915636,0.26095375,0.28466594,0.30445743,0.30414352,0.28189915,0.24969526,0.2229439,0.20819609,0.20239598,0.19999526,0.20007534,0.20597662,0.21978956,0.23756658,0.25119534,0.25395635,0.24577473,0.23242344,0.22095734,0.21512277,0.21454215,0.21732344,0.22247417,0.22972195,0.23707493,0.23956479,0.23159309,0.21112703,0.18249291,0.15525168,0.14049357,0.14481598,0.16651231,0.19501609,0.21773349,0.22675025,0.22270721,0.21148716,0.198851,0.18719621,0.17513688,0.16129573,0.14609204,0.13335392,0.12766236,0.1320588,0.14539348,0.16275026,0.17901784,0.19293682,0.20731826,0.22539614,0.24756117,0.27200076,0.29499182,0.31073657,0.3129333,0.3010811,0.28377715,0.27289212,0.2734653,0.2805149,0.28569138,0.2847756,0.27886978,0.27107945,0.26386622,0.2588512,0.25663733,0.25620735,0.25508174,0.2504816,0.2417634,0.23154019,0.22667523,0.23701005,0.26983282,0.32347462,0.3826981,0.4292396,0.4522101,0.4558768,0.4481647,0.4338566,0.41408065,0.3956236,0.38835454,0.39463627,0.40087545,0.3882856,0.3488644,0.29588553,0.25076738,0.22776775,0.22170544,0.21878637,0.20899342,0.19755395,0.1980222,0.22156829,0.26551017,0.31378007,0.3485073,0.36416283,0.37389278,0.39349237,0.42364785,0.44225284,0.42693043,0.3761598,0.3152528,0.274327,0.26852742,0.29149655,0.32674667,0.3585014,0.37862074,0.3851113,0.38052014,0.368117,0.35288927,0.34183276,0.34482655,0.36709067,0.40309322,0.43327406,0.43712258,0.40467763,0.3455422,0.27911475,0.22634177,0.20011628,0.20571645,0.23761588,0.2812309,0.31674418,0.3309684,0.32349482,0.30546847,0.2881517,0.27620235,0.2662703,0.25414902,0.23887064,0.22560512,0.2225707,0.23744102,0.2704533,0.3117202,0.34420455,0.3556883,0.34654316,0.32975492,0.31737056,0.31331965,0.31041512,0.3024204,0.28803518,0.27536595,0.2715473,0.28010872,0.2969414,0.319078,0.34517345,0.37552655,0.40472105,0.42531827,0.43323943,0.43319908,0.4321977,0.43238905,0.42898396,0.41675806,0.39481723,0.36668512,0.33624634,0.30658367,0.27918506,0.25425652,0.22916801,0.20053446,0.1675349,0.13523574,0.11277434,0.108445965,0.12578134,0.16188823,0.20912807,0.25633913,0.2938709,0.31616244,0.3236417,0.3190627,0.30580798,0.28743744,0.26804674,0.25074944,0.23483908,0.21714954,0.19667946,0.17963147,0.1771846,0.19532417,0.22754233,0.25706673,0.27071527,0.26630795,0.2515243,0.23446251,0.22033192,0.21217744,0.21274833,0.2231767,0.24085772,0.2602592,0.2753065,0.28268614,0.2820079,0.27501068,0.26349494,0.24962641,0.23551494,0.2237076,0.21579742,0.21383505,0.21910985,0.23167616,0.24680948,0.25733677,0.25810686,0.25174695,0.24751021,0.25312594,0.26742327,0.27906156,0.27726546,0.260527,0.23890942,0.22342359,0.21777773,0.2169423,0.21429877,0.2068203,0.19549507,0.18255313,0.17111176,0.16558431,0.17173745,0.19077711,0.21735018,0.24107182,0.2580631,0.27303132,0.2940589,0.31872547,0.33517364,0.33273876,0.315304,0.29720214,0.29075548,0.29605106,0.30403176,0.3059418,0.299095,0.28967798,0.28661105,0.2977586,0.32004738,0.34358695,0.35513496,0.3503817,0.33296034,0.31317914,0.2984219,0.29108474,0.2885259,0.29000592,0.29939386,0.32100105,0.35205686,0.37867662,0.38578728,0.36562952,0.32500175,0.27631322,0.23255967,0.20054531,0.18444584,0.18560071,0.20500606,0.24070978,0.2875081,0.33461282,0.36967537,0.3829284,0.3727586,0.344018,0.30483374,0.26300716,0.22598888,0.20152491,0.19640069,0.21399713,0.25004753,0.2929081,0.32625744,0.33895075,0.32906285,0.30496097,0.27571067,0.24717462,0.21984987,0.19558871,0.17872535,0.17598969,0.18873668,0.21181317,0.23394847,0.2473122,0.25005278,0.2477894,0.24708612,0.25203332,0.26144326,0.269557,0.27005044,0.25838876,0.23789756,0.21999945,0.22560187,0.2680095,0.3406582,0.409304,0.43970492,0.42039585,0.37373933,0.32950094,0.30395713,0.2944139,0.29605842,0.31157875,0.34393916,0.38368383,0.40941128,0.4065083,0.3830596,0.36599505,0.37777767,0.4166604,0.45979527,0.4880333,0.50605303,0.5374585,0.59645003,0.6684694,0.7176159,0.7151665,0.66051096,0.5786214,0.5012129,0.4462181,0.4123203,0.38696873,0.36273393,0.34563413,0.3478967,0.3731806,0.40739617,0.42931786,0.4249539,0.39740387,0.35887888,0.3213723,0.28939945,0.2623059,0.238762,0.22130693,0.21585493,0.22510256,0.24289362,0.25542653,0.25251898,0.23469652,0.2126111,0.19558303,0.18585443,0.17785728,0.16868913,0.16379994,0.17877142,0.22400367,0.29320797,0.35805535,0.38864788,0.37247157,0.32673278,0.28287396,0.2657652,0.27623442,0.2976317,0.31555554,0.3343773,0.3702263,0.42882523,0.49194765,0.52958447,0.52416265,0.48379168,0.43190375,0.38823745,0.3571099,0.33346283,0.31444755,0.30624005,0.31801796,0.35223535,0.39955676,0.44265816,0.4666525,0.46734157,0.45386314,0.4390603,0.4287411,0.41685227,0.39552608,0.3665724,0.34482154,0.34587744,0.3725836,0.40866587,0.43034458,0.4224666,0.3904833,0.35457826,0.3319651,0.32282794,0.31081533,0.28428182,0.25151533,0.24087268,0.273046,0.3420024,0.41273817,0.4506055,0.44230595,0.4051913,0.36610866,0.34440914,0.33870518,0.34094465,0.34806368,0.37245002,0.42387438,0.49798998,0.5679164,0.60593605,0.5971181,0.5498534,0.48369694,0.41949952,0.3684574,0.33153212,0.3030063,0.27928638,0.2631116,0.260689,0.27302375,0.2934359,0.3118146,0.32278106,0.32611716,0.3236185,0.31447878,0.2968054,0.27026305,0.23859079,0.2088601,0.18805964,0.17993693,0.18250059,0.19062494,0.19791853,0.19944029,0.19096482,0.17146118,0.14439394,0.11862955,0.10417607,0.10937804,0.1386201,0.1909132,0.25699687,0.3197045,0.36270952,0.37933818,0.37582126,0.3626349,0.3474305,0.3319318,0.31553146,0.29735595,0.2773771,0.25647554,0.23666845,0.22018637,0.20761628,0.19722591,0.18647557,0.17462063,0.16325931,0.15440667,0.14780974,0.14095698,0.13126321,0.11908043,0.10775872,0.10210335,0.104865044,0.11528193,0.12854157,0.1389889,0.142909,0.141074,0.13659115,0.13248195,0.12941153,0.12707578,0.12541266,0.1267426,0.13786206,0.1723333,0.24476199,0.35740772,0.4865733,0.5875819,0.6172774,0.56106603,0.44060537,0.30039093,0.1820851,0.106380366,0.07027116,0.057858083,0.054999292,0.0562517,0.0647999,0.084287554,0.11395082,0.14623368,0.17276256,0.18890864,0.19585085,0.1968783,0.19560273,0.19724055,0.2106388,0.24290927,0.29273847,0.34699798,0.39204165,0.4210275,0.4372709,0.4441739,0.44253537,0.43094254,0.40962875,0.38173056,0.35192844,0.328815,0.3204591,0.3306272,0.3516123,0.36962724,0.37354007,0.36307693,0.3464739,0.33181846,0.32185778,0.3133218,0.30474618,0.3006903,0.31360874,0.35152528,0.4086491,0.46080717,0.48283756,0.4632565,0.41356206,0.3547728,0.30516258,0.27022746,0.24748553,0.23385306,0.23309092,0.25551096,0.30771196,0.38279673,0.45716333,0.50506836,0.5117955,0.47982037,0.42104366,0.3496952,0.28045732,0.22581033,0.1938216,0.18420677,0.19269456,0.21304949,0.23791641,0.25647524,0.25895157,0.24232627,0.21359907,0.18448775,0.16728759,0.17146038,0.20220494,0.25648603,0.32206765,0.38276824,0.4255679,0.4457793,0.44460216,0.4258457,0.3930391,0.35024855,0.30391535,0.26276544,0.23771888,0.2379462,0.26627377,0.31399596,0.36302832,0.39715382,0.41199684,0.41877055,0.43200967,0.4590404,0.49119702,0.51281494,0.51074034,0.48399296,0.43968466,0.3875382,0.3349009,0.28765884,0.25207582,0.23609142,0.24856563,0.29216638,0.3568592,0.41858986,0.45445612,0.45589158,0.433651,0.40399906,0.3775886,0.35442248,0.3314556,0.30956402,0.29809546,0.30796245,0.34211448,0.38751864,0.42397782,0.43750665,0.43102384,0.41754708,0.4078407,0.40172276,0.3906907,0.36761022,0.33272693,0.29426852,0.2604434,0.23422451,0.21202773,0.1928283,0.18486708,0.20400064,0.25688007,0.3281051,0.38305685,0.39217624,0.3506739,0.28125674,0.21385126,0.16665502,0.13950725,0.12612048,0.1279753,0.15598673,0.21687847,0.2985927,0.37256765,0.41074523,0.40373388,0.36373362,0.31337366,0.26971707,0.23677738,0.2118928,0.19823617,0.20806749,0.24982786,0.31310833,0.36981645,0.39241636,0.37094188,0.31562623,0.24831484,0.19359373,0.17186792,0.19371027,0.25667906,0.34694946,0.44391194,0.52392656,0.56612664,0.56034535,0.5135412,0.44599974,0.3791856,0.3245716,0.28386387,0.25817478,0.25564203,0.28509748,0.3438274,0.4108568,0.46062863,0.47919497,0.4728222,0.45594966,0.4395077,0.42465654,0.40967742,0.39452422,0.38252833,0.37556806,0.37215292,0.3671275,0.35602978,0.33930907,0.32625243,0.3325404,0.36842224,0.42684534,0.48090926,0.50277656,0.48049894,0.42600155,0.36033645,0.302385,0.26117697,0.23902209,0.23246092,0.23421516,0.23600315,0.2321608,0.2216544,0.20694643,0.19335318,0.1890502,0.20293474,0.2389872,0.290264,0.3407496,0.37425482,0.38383386,0.37441143,0.35671988,0.34015715,0.3257779,0.308672,0.2838001,0.25627598,0.23892002,0.24271917,0.2632804,0.28449908,0.2900603,0.27648306,0.25054574,0.22212549,0.19695793,0.17749844,0.16589418,0.1664669,0.18447979,0.22048962,0.26643363,0.30650333,0.32705006,0.32353124,0.3023268,0.2733585,0.24524379,0.22278674,0.20988607,0.21183147,0.23743363,0.29294208,0.37313077,0.45379695,0.50336003,0.50176185,0.45605573,0.3925365,0.3388323,0.3076193,0.29584447,0.2953786,0.30517277,0.33390915,0.38691258,0.45237407,0.5018646,0.5117696,0.48210692,0.43552104,0.39759806,0.380012,0.37922832,0.3848523,0.38841674,0.38788775,0.38724494,0.39201808,0.4010851,0.4063232,0.39817274,0.3749648,0.34290552,0.31085983,0.28411865,0.26308635,0.24547057,0.2309591,0.22581434,0.24429058,0.29875016,0.38741863,0.48566937,0.56019235,0.5879402,0.5721302,0.53294235,0.49189293,0.45795766,0.4297221,0.40262237,0.37582627,0.352995,0.33860317,0.33314124,0.33112344,0.32607925,0.31706426,0.31058398,0.3131825,0.32348987,0.33171055,0.32830992,0.31292942,0.29507384,0.28708738,0.29396114,0.31072053,0.32488608,0.3268155,0.31291834,0.28684068,0.25254184,0.2140653,0.17539494,0.14328392,0.12369639,0.11951562,0.12862155,0.14645056,0.16684847,0.18377133,0.19418128,0.20072304,0.21190774,0.23415673,0.26661333,0.2980115,0.3166621,0.31795564,0.31132516,0.3121878,0.33139884,0.3643265,0.3930404,0.39932927,0.37789086,0.34060135,0.30405948,0.27840105,0.26181462,0.25085184,0.24578802,0.25213066,0.27124992,0.29999647,0.33088747,0.35852697,0.37706208,0.38236967,0.37172922,0.3491294,0.32230034,0.2995611,0.28362978,0.27290687,0.26371786,0.25417888,0.24353749,0.23197271,0.2209325,0.21564679,0.22413045,0.25081727,0.28987953,0.32498062,0.34035504,0.33078924,0.30465722,0.27459666,0.24909015,0.22911464,0.21205978,0.19593333,0.18053906,0.1667089,0.15497617,0.14603831,0.14085257,0.14025803,0.14470007,0.15446381,0.17077899,0.19330652,0.21918774,0.24367471,0.26537037,0.28659892,0.30904835,0.3302814,0.3462485,0.357476,0.36874947,0.38441467,0.40397933,0.42200497,0.43105054,0.42362425,0.39718875,0.3560034,0.31094718,0.2720271,0.24379677,0.22431946,0.20967215,0.19724508,0.18675245,0.17934783,0.17541595,0.1735081,0.1696264,0.1614004,0.1523843,0.15529333,0.18422985,0.24244821,0.3129505,0.36785462,0.38868988,0.3836907,0.37986138,0.4008794,0.4443871,0.48816958,0.5072826,0.49700367,0.46867132,0.44067785,0.42116296,0.40888336,0.39655685,0.3821453,0.37317094,0.3843813,0.42403996,0.4808766,0.5251732,0.5307064,0.4953284,0.44355655,0.40365973,0.38865662,0.39090812,0.39681625,0.39745355,0.3950366,0.39398265,0.39617887,0.394457,0.3815631,0.35463116,0.32057038,0.2887708,0.266956,0.25843525,0.26535997,0.28759643,0.32039878,0.35117924,0.3661801,0.35723972,0.32848987,0.2913414,0.26073763,0.24915285,0.26430097,0.302941,0.34944427,0.38247016,0.388471,0.3703948,0.34371495,0.32402012,0.31690744,0.31661174,0.31379446,0.30494928,0.29793847,0.30790994,0.3464515,0.41095984,0.48303357,0.5395774,0.56753546,0.57027584,0.55811304,0.53486234,0.4956698,0.43884075,0.3760573,0.3269203,0.30374074,0.30427286,0.31702664,0.3327463,0.3469812,0.3598384,0.3704522,0.3771292,0.3756639,0.3637645,0.3423815,0.31591532,0.2882118,0.2606031,0.2336685,0.20863824,0.18788831,0.1727702,0.1641184,0.16179067,0.16436715,0.16733134,0.1652749,0.15705924,0.15068567,0.1591502,0.18985629,0.23490846,0.2759943,0.29683873,0.29559365,0.28115192,0.26467434,0.24985315,0.235111,0.21771361,0.19915853,0.18382502,0.17537975,0.17350881,0.17476262,0.17669927,0.18026268,0.18816082,0.20059018,0.21320955,0.2201218,0.21846516,0.2107804,0.20272602,0.19921005,0.20217253,0.21038514,0.22143267,0.23306297,0.24459364,0.2560887,0.26720977,0.276026,0.27891698,0.2717552,0.25156236,0.2191226,0.17955591,0.1407725,0.110045575,0.092290066,0.090670526,0.10573145,0.13389197,0.16519879,0.1884831,0.19757716,0.19718434,0.19905834,0.2131214,0.23893337,0.26422167,0.27510616,0.2659317,0.2458716,0.22866954,0.22336805,0.22573876,0.22669224,0.21904032,0.20403022,0.18612778,0.16946582,0.15535557,0.14509879,0.14308088,0.15726952,0.19649738,0.26145628,0.34046343,0.4099023,0.4481857,0.4458127,0.41198042,0.36693993,0.33086467,0.31230572,0.30566692,0.30124378,0.29555142,0.29551685,0.30683437,0.32701802,0.345268,0.35442755,0.35439026,0.34933004,0.34040537,0.32580474,0.3049849,0.28152266,0.26266834,0.25479844,0.25973096,0.27202973,0.28155276,0.2796974,0.2651756,0.24488132,0.22791143,0.21907814,0.21549553,0.21199626,0.2072342,0.20832539,0.22274704,0.25095156,0.28032276,0.29582524,0.28961062,0.26813358,0.2441069,0.22782592,0.22154896,0.22217844,0.22623408,0.23262782,0.24309774,0.25892735,0.27867535,0.29666555,0.3071657,0.30826733,0.30356923,0.2974174,0.29096612,0.28228927,0.27162024,0.26304814,0.26189625,0.2685058,0.27841458,0.28537136,0.2866348,0.2826847,0.2755337,0.26675665,0.25721404,0.24866046,0.24418491,0.24994929,0.27142772,0.30937976,0.35378692,0.3887869,0.40079895,0.3889368,0.36256135,0.33510387,0.31507924,0.30565444,0.30654395,0.3182788,0.34172758,0.37481365,0.4089661,0.43178633,0.43547618,0.4232839,0.40906265,0.40656593,0.42127395,0.44491455,0.4676459,0.48608446,0.51112413,0.55040294,0.5996604,0.6370833,0.6436088,0.61342,0.56021243,0.50429994,0.46284816,0.4407994,0.43340325,0.4326489,0.43384215,0.43550575,0.43412912,0.42459485,0.40457377,0.38007176,0.36050978,0.35134712,0.34983703,0.34909832,0.34499332,0.33881488,0.33610964,0.33817685,0.33953536,0.32825097,0.3000376,0.26216188,0.2328859,0.22449143,0.23640446,0.25358003,0.26049945,0.25155622,0.23678346,0.23110048,0.24138768,0.2578052,0.26481554,0.25623554,0.2451759,0.2513765,0.28349975,0.3295101,0.37198818,0.40666565,0.4475161,0.5059282,0.5741101,0.6259026,0.6400645,0.6144569,0.5656391,0.5128712,0.4678248,0.43159473,0.40319243,0.38517046,0.38580096,0.4077578,0.4430941,0.47299555,0.48492467,0.48034203,0.47472224,0.48008752,0.49489307,0.5044372,0.49416766,0.46066734,0.41150925,0.35875514,0.31047586,0.26968768,0.2375602,0.2189644,0.22479708,0.26065347,0.31730485,0.36494341,0.377941,0.3533963,0.32209435,0.3181497,0.3547883,0.40949392,0.44890735,0.45255578,0.42980385,0.40486243,0.39678618,0.40278658,0.40942025,0.41031253,0.41914418,0.45276752,0.512647,0.5756548,0.6134486,0.609551,0.5680121,0.5047054,0.43858728,0.38372755,0.34539285,0.32055882,0.30441412,0.29724574,0.30427185,0.32784116,0.36200604,0.39467835,0.4148831,0.41711184,0.4013529,0.37195256,0.33638263,0.30321157,0.2789223,0.26607764,0.26355848,0.2675013,0.27184507,0.26998314,0.25779015,0.2367145,0.21241091,0.19188994,0.17972273,0.17912088,0.19082113,0.21423064,0.24513225,0.27849647,0.30880845,0.33313617,0.35057333,0.36168084,0.36618397,0.36168182,0.3459253,0.31916675,0.28658164,0.25579038,0.23383994,0.22340302,0.22222494,0.22477688,0.22519661,0.21973325,0.20750956,0.19009145,0.17055751,0.15181366,0.13615783,0.124047406,0.11573544,0.111542255,0.11353046,0.12298023,0.13850522,0.1544136,0.16432019,0.16544557,0.16063257,0.1553033,0.15294562,0.15340453,0.15553772,0.16261387,0.18502748,0.23494847,0.31268623,0.39785504,0.45644322,0.4633359,0.41749904,0.3391633,0.25314972,0.17706965,0.11980635,0.08324756,0.06456308,0.05646564,0.052915793,0.052084923,0.059167027,0.07999089,0.11582921,0.15813333,0.1945434,0.21632431,0.22453435,0.22527958,0.22363044,0.22197598,0.2270531,0.25105116,0.3046466,0.38258433,0.4646698,0.5253433,0.55017245,0.53824997,0.5003265,0.45152393,0.40682498,0.37593326,0.36139116,0.36052045,0.36896658,0.3813304,0.39148894,0.393159,0.38488147,0.3695993,0.35314894,0.3389802,0.32820717,0.31962,0.31189814,0.30597985,0.30759338,0.3244909,0.35838926,0.39923295,0.42945293,0.43575022,0.4168208,0.3824571,0.34498253,0.31312272,0.28973958,0.27496192,0.2691425,0.27196816,0.27997398,0.2846892,0.27821028,0.25811392,0.22983219,0.20132266,0.17831923,0.16201547,0.15103622,0.14560968,0.15084964,0.17748863,0.2324888,0.3105769,0.3891696,0.4418255,0.44985017,0.41272807,0.34372935,0.2670419,0.20928557,0.19028111,0.21317022,0.2642775,0.32363534,0.37532127,0.41051033,0.42429376,0.41467953,0.38581696,0.34883726,0.3177657,0.3013823,0.3006731,0.31180465,0.33071816,0.35255453,0.36917445,0.37145904,0.35813352,0.34023643,0.33608124,0.35426593,0.38601002,0.40772143,0.40138808,0.3650732,0.31452346,0.26850194,0.23957497,0.23084314,0.23956828,0.26135957,0.29134348,0.32463947,0.35390446,0.36966705,0.36423585,0.3369844,0.29585412,0.2525374,0.21871549,0.20470567,0.21912014,0.2633853,0.32748473,0.39055896,0.43190393,0.43876147,0.41192853,0.3625984,0.31043884,0.27688006,0.27442625,0.29859233,0.32794037,0.3415415,0.33080897,0.30453014,0.27546883,0.25254628,0.23761529,0.23172046,0.24014242,0.26953366,0.32122746,0.38118324,0.426324,0.4364761,0.40982404,0.3601803,0.30584908,0.2569119,0.21538936,0.18431886,0.1774472,0.21289857,0.2971675,0.40838608,0.5058186,0.55062747,0.5299953,0.45818505,0.36609522,0.28321365,0.22723724,0.20503569,0.22157872,0.28179017,0.38008776,0.48733497,0.56277734,0.5774663,0.53470945,0.459294,0.37961933,0.3132908,0.26929033,0.25231668,0.26573107,0.3080097,0.3693898,0.42956707,0.46687737,0.46819457,0.43854427,0.39470065,0.3555187,0.33059952,0.3210566,0.32417753,0.33699954,0.3548052,0.3684187,0.37071788,0.3630167,0.35896578,0.37266526,0.40724766,0.44821766,0.474226,0.4710945,0.44126153,0.39860547,0.35802832,0.32688484,0.30550316,0.2908109,0.28134754,0.27649477,0.27575746,0.27625453,0.2760888,0.2756298,0.27756703,0.2823366,0.28664282,0.28569466,0.27803478,0.2675216,0.2633085,0.27406186,0.3035331,0.34435496,0.38411054,0.41199088,0.4278592,0.43729272,0.44418314,0.44510114,0.43440232,0.4124484,0.38735613,0.36882535,0.35959172,0.35356033,0.34072867,0.31506374,0.27927765,0.2428387,0.21513093,0.1986682,0.18973261,0.18315554,0.17725907,0.17232735,0.16802706,0.16204546,0.1529694,0.1427198,0.13714753,0.14233519,0.15976267,0.18319033,0.20194103,0.20775108,0.19984125,0.18324244,0.16369903,0.14407563,0.12612663,0.116039604,0.1289504,0.1864687,0.29858243,0.4467822,0.5799764,0.64711326,0.6283931,0.5499484,0.45679355,0.38672295,0.35775378,0.3718392,0.4175293,0.46591684,0.48553595,0.45912853,0.4009478,0.34009245,0.30323446,0.3003449,0.33092305,0.38553965,0.44396064,0.47794724,0.46570995,0.40825832,0.3279408,0.25214997,0.1965401,0.16154063,0.1401202,0.12546025,0.11419544,0.10489073,0.09687271,0.089611314,0.08396453,0.08471588,0.10309777,0.15342042,0.24061775,0.34722206,0.4351174,0.4688659,0.44175068,0.38143274,0.32641932,0.29839122,0.2917082,0.29141718,0.2907155,0.29884255,0.3237804,0.36422002,0.4049369,0.4325477,0.43949553,0.4287342,0.4066068,0.38181552,0.3610954,0.34795526,0.3425684,0.3454328,0.36178276,0.3968384,0.44908547,0.5026252,0.53703165,0.53707606,0.50540745,0.45629635,0.4084604,0.3706573,0.34058633,0.31021106,0.27877626,0.25590053,0.2521304,0.2666289,0.2859089,0.29616916,0.29397735,0.28612503,0.28004766,0.27723634,0.2745123,0.2698749,0.26532403,0.26372823,0.2643404,0.26189175,0.251891,0.23532353,0.21842144,0.20674501,0.20107542,0.19922264,0.20057166,0.20815228,0.2251796,0.25147495,0.2816079,0.30770394,0.32282615,0.32484064,0.3160522,0.30073544,0.28107253,0.25699607,0.22831035,0.19771545,0.17020239,0.15060635,0.14003849,0.13581671,0.13279374,0.12897946,0.12843448,0.14314406,0.18343937,0.24868274,0.31974605,0.37088874,0.38490355,0.3648696,0.32691345,0.2871395,0.25272423,0.2226181,0.19446577,0.1675232,0.14358951,0.12375116,0.10837913,0.09802047,0.09510991,0.103754856,0.12600683,0.16042492,0.20121206,0.24355064,0.2836959,0.31991363,0.34862626,0.3676915,0.37746373,0.3812984,0.3805045,0.37225422,0.35392544,0.32868516,0.30691543,0.2976351,0.3022566,0.31444985,0.32771862,0.34002045,0.35280976,0.36799815,0.3854313,0.40178835,0.4102503,0.4049567,0.3879547,0.3725922,0.37481233,0.40029275,0.4375677,0.4680233,0.47937354,0.47140375,0.44745484,0.40969238,0.36296976,0.32509336,0.32010543,0.36126423,0.43312272,0.4988822,0.5239529,0.5000765,0.4450692,0.38374433,0.3304309,0.29019,0.26888832,0.2727311,0.29890367,0.33137992,0.35426983,0.36339328,0.36677364,0.3714662,0.37642083,0.3757676,0.3670427,0.3534582,0.33921483,0.32623735,0.31663233,0.31563404,0.32675374,0.34529224,0.35756326,0.35318086,0.3324659,0.30642214,0.28516608,0.2738305,0.2735668,0.28720972,0.31551602,0.3518754,0.37918708,0.38107535,0.35231617,0.30398396,0.25442442,0.22084494,0.21374752,0.234586,0.27463877,0.31568798,0.34009913,0.33871707,0.31573287,0.2819469,0.24804415,0.21946912,0.19630502,0.17660594,0.15830864,0.14248951,0.1345013,0.14519872,0.18672918,0.26220715,0.36191455,0.46447405,0.5504864,0.60320884,0.61462474,0.58370405,0.5259475,0.4653767,0.42458227,0.40902185,0.40860477,0.40579602,0.3884641,0.35726747,0.3254042,0.30978402,0.31560636,0.33078384,0.33447838,0.31617463,0.28413966,0.2557926,0.24125825,0.23497051,0.22554927,0.20796543,0.19053076,0.18499623,0.19608761,0.21580367,0.2336139,0.24650274,0.26104677,0.28264436,0.30654398,0.32136658,0.320547,0.3100189,0.30335602,0.31070986,0.3320022,0.35769084,0.377251,0.3841996,0.3786912,0.3633788,0.34200606,0.3176104,0.29422614,0.27610758,0.26704392,0.26685783,0.2703838,0.2697145,0.26037604,0.24537307,0.23261857,0.22871874,0.23345698,0.24132764,0.24515146,0.2419935,0.23425163,0.23022495,0.23821877,0.26160714,0.29371855,0.32196373,0.3350445,0.33027467,0.3127738,0.2904834,0.2688744,0.2502051,0.23468484,0.22247571,0.213659,0.20820458,0.2047861,0.20130463,0.19661617,0.193545,0.19922937,0.21951473,0.25207376,0.28322387,0.29744032,0.28865656,0.268038,0.25467238,0.26190653,0.2859129,0.31036094,0.31867695,0.3053381,0.27612007,0.24114358,0.2079187,0.17957453,0.15706967,0.1431679,0.14403977,0.16647856,0.20950615,0.2608156,0.3025607,0.32541084,0.33347568,0.33728942,0.34208497,0.34505665,0.34143248,0.33040038,0.31739143,0.31071088,0.31687772,0.3335273,0.3499712,0.35324752,0.34002376,0.31757757,0.29874754,0.2904576,0.29276785,0.3007891,0.31204262,0.3258573,0.34248427,0.35904053,0.37019733,0.37033105,0.3568687,0.3318794,0.3010199,0.27058205,0.2462985,0.23191853,0.23056464,0.2435739,0.27098098,0.31007007,0.3528498,0.38712466,0.3996148,0.38559142,0.35012603,0.30658564,0.26729468,0.24050687,0.22897731,0.23341934,0.25169078,0.27800706,0.30066216,0.30827293,0.29611453,0.27266356,0.25159946,0.2425102,0.24161796,0.23911464,0.22889353,0.21665944,0.21394509,0.22741854,0.25190926,0.27274856,0.27753556,0.26547527,0.25168878,0.2560065,0.28701434,0.32956973,0.35334548,0.33545122,0.27874264,0.21106459,0.16711812,0.17296483,0.23262458,0.3270952,0.41754004,0.46873507,0.4671966,0.4292427,0.3819567,0.34630832,0.33057603,0.33682945,0.3635452,0.40010753,0.4290733,0.43618238,0.42615053,0.42019072,0.43922415,0.4847815,0.5345623,0.5640466,0.56563807,0.5597048,0.5697982,0.6041514,0.6432927,0.66097945,0.6411431,0.590215,0.5276443,0.47255433,0.4325588,0.40409943,0.3822124,0.36639318,0.3606145,0.36380517,0.36920592,0.36702538,0.35397482,0.3332877,0.3121933,0.29575238,0.285159,0.28088048,0.28709716,0.3163836,0.37970695,0.47519,0.5767595,0.65001184,0.6710882,0.64298874,0.58554846,0.52114004,0.46259356,0.41339353,0.37286666,0.34221032,0.32739422,0.33327153,0.35602582,0.379521,0.38655362,0.3709323,0.34397843,0.32334772,0.3197548,0.32870877,0.34159267,0.35897192,0.39722276,0.4692718,0.56779736,0.6595487,0.7109681,0.7086838,0.6677711,0.61373204,0.5658061,0.52954906,0.50330085,0.48593363,0.47704795,0.47438964,0.47236744,0.46731558,0.45968446,0.45332548,0.4510238,0.45309034,0.4571217,0.45846057,0.45210183,0.43631133,0.41592097,0.39872518,0.38942996,0.38470742,0.37825608,0.3669387,0.3556716,0.35167181,0.35661185,0.3605815,0.3492341,0.31794688,0.28219974,0.2672341,0.28703156,0.32868063,0.36387262,0.37008905,0.34821096,0.3165016,0.29689512,0.30020988,0.3242732,0.36091748,0.40540504,0.45922637,0.5216841,0.58325046,0.62683034,0.6390128,0.61704546,0.5686169,0.5071575,0.44770432,0.40213642,0.37309137,0.35330376,0.3330945,0.30975652,0.28823367,0.2726473,0.2613553,0.24911469,0.23517321,0.22323054,0.21807659,0.219707,0.22684896,0.24123542,0.2717749,0.32284406,0.38576004,0.43366888,0.44391748,0.4112881,0.35450414,0.29525235,0.24806719,0.2170829,0.20525672,0.21781044,0.26058456,0.3338345,0.42447576,0.50492007,0.5459175,0.5362639,0.49155164,0.44084918,0.4046167,0.38432133,0.36865807,0.34756994,0.31945783,0.2904153,0.26788417,0.25482756,0.24833184,0.24145426,0.22929259,0.21166837,0.19419436,0.18271548,0.17993176,0.18292679,0.18648203,0.18589294,0.17974555,0.17060937,0.16379453,0.16464473,0.17367674,0.18622695,0.19455944,0.19453554,0.18699229,0.17699696,0.16863202,0.16354631,0.16167861,0.16682881,0.18918799,0.24164398,0.32460117,0.41715297,0.4816943,0.49035963,0.44132605,0.35913038,0.27227685,0.19939391,0.14528178,0.10895487,0.08709366,0.07609248,0.07086125,0.06835357,0.068634056,0.07747779,0.10014916,0.1368932,0.17882329,0.21533354,0.24062304,0.25591922,0.26482603,0.27065623,0.2797486,0.2995801,0.3347216,0.37774768,0.4154928,0.43531704,0.43528506,0.41945636,0.3952348,0.3673639,0.33962366,0.31512976,0.2989806,0.29779902,0.31569934,0.34928742,0.38521862,0.408596,0.41184223,0.40096018,0.38722226,0.37888876,0.3748566,0.37111655,0.36642468,0.3677049,0.38434985,0.42081907,0.4676716,0.50541204,0.5154979,0.49382964,0.45164347,0.4067893,0.371708,0.35006246,0.34161106,0.3505435,0.38426483,0.44447973,0.51657605,0.5751809,0.597006,0.57431173,0.5134619,0.4309156,0.3470448,0.2827253,0.25205752,0.25853923,0.29516223,0.34870028,0.40205684,0.43826172,0.44541582,0.42117164,0.3722645,0.3123931,0.2611085,0.2389496,0.2573397,0.30840412,0.3678528,0.4098636,0.42122388,0.40516996,0.372853,0.3361584,0.3026848,0.277359,0.26223445,0.25747538,0.2639083,0.2861942,0.3290976,0.38717481,0.438629,0.4596996,0.4444542,0.41418687,0.39810693,0.41072538,0.440774,0.46340242,0.4587237,0.4244765,0.3750405,0.3297979,0.30115548,0.29058942,0.29410914,0.31005725,0.33814707,0.3742652,0.4056112,0.41999075,0.41491815,0.4003969,0.38655138,0.3743576,0.35684088,0.32859448,0.29133266,0.25104037,0.21317972,0.18034644,0.15306772,0.13246407,0.12297642,0.13423727,0.1753089,0.2442563,0.32183993,0.38028923,0.40259817,0.39223242,0.36629164,0.3368393,0.3049513,0.2677537,0.23323418,0.22114497,0.24811429,0.30972144,0.37636283,0.41339502,0.40258133,0.35366467,0.29137936,0.23851846,0.20281298,0.17995954,0.16526307,0.16373105,0.18845892,0.24540575,0.32261845,0.39152172,0.42586255,0.41397977,0.3637621,0.29224968,0.2186889,0.15825348,0.12457662,0.1328404,0.19539438,0.3085669,0.4405408,0.5430047,0.5773353,0.5371952,0.44679555,0.3443413,0.26460057,0.22646461,0.2294416,0.25700268,0.28946224,0.31213787,0.31907174,0.3095865,0.28801557,0.26126173,0.23634638,0.21683425,0.20364268,0.19767506,0.20132118,0.2148722,0.23372154,0.2480849,0.25218597,0.24962157,0.25555626,0.2832215,0.3338604,0.3902104,0.4292893,0.43564215,0.41118145,0.3690524,0.32485688,0.2895782,0.26995656,0.26987094,0.2923634,0.33785152,0.40060687,0.46435332,0.5059279,0.5070546,0.46584663,0.3982027,0.3274964,0.27385643,0.24795328,0.2510394,0.27684867,0.31511304,0.35567355,0.3915795,0.4192833,0.43748823,0.44481924,0.43984905,0.4207101,0.38791952,0.34542468,0.3021988,0.2687494,0.25286284,0.25391003,0.26253763,0.26683435,0.26358172,0.2653791,0.29156426,0.35064995,0.42645732,0.4892582,0.5150234,0.5009086,0.4588103,0.404582,0.3496149,0.30192152,0.2676349,0.2515062,0.2538478,0.26828417,0.2818621,0.28219748,0.2650154,0.23665404,0.20772107,0.185189,0.16974322,0.15835841,0.15030132,0.15000916,0.16743027,0.20825697,0.2671981,0.3256098,0.36767957,0.39008465,0.4036108,0.41672787,0.42796752,0.42899534,0.41720536,0.40160862,0.39644608,0.4086202,0.43044126,0.4452106,0.44229767,0.42422554,0.4028711,0.38631642,0.37446263,0.3631207,0.35253116,0.35144842,0.3696059,0.40908659,0.45583853,0.48958513,0.49462292,0.47188842,0.43298912,0.3926568,0.35965362,0.3365698,0.32146063,0.3108044,0.30138347,0.29092106,0.2784566,0.2642707,0.25012207,0.23845638,0.2309407,0.22781067,0.22894752,0.23608743,0.2529472,0.28440872,0.33376014,0.39892396,0.46731344,0.516783,0.5276899,0.4977276,0.44619823,0.4004637,0.38101086,0.39285538,0.42802516,0.46707264,0.48787186,0.4766456,0.44051647,0.40163365,0.38179138,0.38755655,0.41247642,0.44538102,0.47517267,0.48981047,0.47956082,0.4445636,0.3975382,0.35436487,0.32300973,0.30011752,0.27913466,0.25679234,0.23499306,0.216317,0.20187758,0.1905536,0.18155222,0.17583722,0.17730154,0.18899362,0.20998631,0.2326554,0.24821393,0.25121403,0.24328937,0.22939466,0.21486475,0.2031735,0.19701952,0.19950898,0.21523897,0.24761073,0.29432723,0.34226903,0.37301862,0.37287483,0.3437437,0.30051252,0.26354742,0.25028458,0.2702594,0.32009277,0.37992844,0.42312482,0.43189204,0.41071728,0.3786398,0.35588226,0.35276738,0.3711847,0.40523902,0.44025907,0.45665,0.4402397,0.3935121,0.33135167,0.27068418,0.21971072,0.18006672,0.15033498,0.12972243,0.116387926,0.107811965,0.101165794,0.09498479,0.08930954,0.08603052,0.0890341,0.10316008,0.1314222,0.17005028,0.20749366,0.22816324,0.22285837,0.19465725,0.15823738,0.13014345,0.120546184,0.12950663,0.14973201,0.17206915,0.19025783,0.20251282,0.20922011,0.21036075,0.20578517,0.19694583,0.18747199,0.18039888,0.17641598,0.1738987,0.1723408,0.17448922,0.18717076,0.2156223,0.2582291,0.30220345,0.3314301,0.33515093,0.3162264,0.28632316,0.25809625,0.23727976,0.22220422,0.2086879,0.1942367,0.18086754,0.1713459,0.16784976,0.16913621,0.17376268,0.1796246,0.18513475,0.18714981,0.18319754,0.17311366,0.1606415,0.150952,0.14818783,0.1531954,0.16404901,0.17636622,0.1858726,0.18970478,0.18828773,0.18386437,0.17907758,0.17487352,0.17106056,0.16741681,0.16552497,0.16793549,0.17693388,0.19147909,0.2075357,0.21853806,0.22033887,0.21259768,0.20052661,0.18917434,0.18161513,0.17532122,0.16699208,0.15371102,0.1366931,0.11932612,0.10603851,0.10082232,0.107696384,0.13243376,0.1797439,0.24602145,0.31408575,0.35787734,0.36000904,0.32291514,0.2680724,0.21875422,0.18750037,0.17199092,0.1626785,0.15139557,0.13605814,0.12022943,0.1096465,0.11043494,0.12652968,0.15654302,0.19169746,0.21932264,0.23256165,0.2338453,0.23251873,0.23357712,0.23702474,0.23946184,0.24076225,0.2410066,0.23902535,0.23288345,0.22543313,0.22453392,0.23838164,0.26736698,0.30381474,0.33438945,0.34916845,0.34457996,0.32636937,0.30430356,0.28826043,0.28304756,0.28798464,0.29811242,0.30742428,0.31109324,0.30720094,0.2968528,0.2853535,0.2803385,0.28946343,0.3144647,0.3506607,0.38863823,0.42229876,0.45141852,0.4807314,0.5121538,0.54187995,0.5623686,0.56784064,0.55670047,0.5306669,0.49661624,0.46572867,0.4514822,0.4589155,0.48309556,0.5107346,0.5309143,0.53602964,0.5218009,0.48489407,0.4267744,0.35585865,0.28581986,0.22974414,0.19387932,0.17785102,0.17785077,0.19466774,0.22956379,0.27961096,0.32947946,0.36259976,0.37088034,0.3624024,0.35126686,0.34800804,0.3550427,0.37080145,0.39393464,0.42171177,0.44693205,0.4582063,0.44634378,0.41023624,0.35743567,0.3007711,0.2540319,0.22794181,0.225028,0.2375678,0.2520807,0.25919938,0.25985995,0.26141497,0.2687532,0.27874103,0.28480685,0.2844324,0.28293797,0.29086712,0.31370762,0.34682178,0.37200144,0.37483168,0.3554275,0.33613968,0.33716574,0.36031446,0.38401642,0.3906573,0.38147643,0.37587854,0.38644215,0.41012326,0.42959687,0.43174395,0.41557273,0.39647934,0.39513585,0.42280105,0.47034693,0.5130761,0.53000736,0.5167822,0.48541746,0.4496912,0.4165285,0.3852313,0.3535116,0.3225753,0.29788497,0.28934443,0.30209208,0.33146605,0.3573667,0.3591639,0.3259783,0.26715687,0.20134337,0.14877714,0.1219619,0.12675934,0.16028899,0.2129082,0.26911494,0.31556967,0.34371647,0.35349253,0.3477758,0.33227584,0.311999,0.29299882,0.27884427,0.271479,0.2719953,0.28556666,0.31630847,0.3611053,0.40313444,0.42357996,0.4132991,0.38080359,0.3425833,0.31285304,0.29713437,0.29472932,0.3027577,0.31723246,0.33242783,0.34072828,0.3370446,0.32212904,0.30193922,0.28181085,0.26313353,0.24457051,0.22604245,0.21003163,0.20028122,0.20004703,0.20969842,0.2262289,0.24207433,0.25059274,0.24908203,0.24325776,0.24138923,0.24936159,0.26471344,0.2796094,0.2862891,0.28233242,0.27120295,0.25927114,0.25209913,0.25146577,0.25385362,0.25307944,0.24438779,0.22844224,0.20949286,0.19261515,0.18145187,0.17980999,0.1903698,0.21326071,0.24238165,0.2692299,0.28481302,0.2866757,0.2780329,0.2706611,0.27635387,0.30226612,0.34227732,0.3843111,0.41663864,0.43748686,0.44948205,0.45605513,0.4559423,0.4483604,0.43423784,0.41696548,0.39836338,0.37866664,0.3588141,0.34280643,0.33704016,0.34615824,0.36781344,0.3909916,0.40049323,0.38866135,0.36077642,0.33166954,0.31158912,0.30134907,0.29483232,0.28905293,0.28555408,0.2882779,0.2982221,0.31190085,0.32181844,0.32015607,0.30370867,0.2765567,0.24807702,0.22628075,0.21350093,0.2062575,0.20250022,0.2048059,0.219019,0.24541737,0.27669,0.3023602,0.31714165,0.32230428,0.3212193,0.31493318,0.30330756,0.2884713,0.27686778,0.2750856,0.2855405,0.30237767,0.31535065,0.3152444,0.3009962,0.278922,0.2586201,0.24540281,0.23925768,0.23646332,0.2363659,0.24157523,0.25592163,0.27699444,0.29708347,0.30757612,0.30668572,0.29793668,0.28550383,0.26921847,0.2488939,0.23012894,0.22801387,0.2567867,0.31792107,0.39163053,0.45141557,0.4812965,0.4903843,0.49911448,0.52270365,0.55489796,0.5808727,0.5914038,0.59725314,0.6134391,0.6450439,0.6750548,0.6818736,0.6542643,0.60344756,0.5497941,0.5098737,0.48383904,0.46278322,0.43811014,0.41286469,0.39678118,0.3984389,0.41559348,0.4382212,0.45423865,0.45675662,0.44467935,0.42152107,0.39209834,0.36202428,0.33709303,0.32485968,0.32726002,0.33879516,0.3430891,0.32962462,0.29769364,0.26135674,0.23302484,0.22019829,0.22131854,0.23224466,0.2484839,0.2691028,0.2972813,0.33512545,0.37588534,0.40479824,0.40967083,0.39456058,0.3751701,0.36638954,0.3672777,0.37098536,0.3761048,0.39708945,0.44498292,0.5156068,0.5828455,0.62196034,0.62148994,0.59027845,0.5421482,0.4885029,0.43371418,0.38251242,0.34190902,0.32026416,0.3196315,0.33562002,0.35835972,0.3802447,0.3957422,0.4040922,0.40500346,0.39905396,0.38521305,0.3635846,0.3366412,0.31028008,0.2915095,0.28517488,0.29133964,0.3048466,0.32024077,0.33742905,0.36317298,0.39971235,0.43360814,0.4391992,0.40226796,0.33984232,0.29091012,0.28503492,0.31728494,0.3570577,0.37538993,0.3676089,0.35129413,0.3489391,0.37076,0.40824568,0.44476256,0.4687079,0.48470548,0.50333905,0.5300795,0.55429953,0.5606629,0.5393612,0.49629962,0.44514784,0.39920858,0.36238107,0.33349553,0.31275192,0.30701616,0.32313886,0.3586186,0.3989317,0.42674878,0.4335296,0.4221162,0.400696,0.3754368,0.3487172,0.32101515,0.29307342,0.26709706,0.24543494,0.22952123,0.21746607,0.20672728,0.19559288,0.1862116,0.18064757,0.1790567,0.1772902,0.17433096,0.17756742,0.20638306,0.27517003,0.37913203,0.48512423,0.5563547,0.5726982,0.5442715,0.4929917,0.43834892,0.3878987,0.34319222,0.30398396,0.27100167,0.2455676,0.22837718,0.21814294,0.21174824,0.2066168,0.20265128,0.20131697,0.20249462,0.20365119,0.20121813,0.19379143,0.1821866,0.1695819,0.1597429,0.15651752,0.16133823,0.17248148,0.18549407,0.19620265,0.20257652,0.20499365,0.20431268,0.20127235,0.19657712,0.19310455,0.19566335,0.21123134,0.244061,0.29421353,0.3516866,0.40117288,0.42353502,0.40917516,0.35917604,0.28845993,0.21384741,0.14956608,0.10203884,0.072800554,0.0597062,0.057740778,0.06224091,0.07138903,0.08920351,0.11957852,0.1603797,0.20039184,0.22702016,0.23617123,0.23432313,0.23426564,0.2457474,0.27492282,0.318583,0.36749244,0.4056953,0.4256427,0.43047675,0.43375358,0.44317922,0.45704308,0.46624377,0.46481597,0.45431387,0.4443729,0.44987908,0.48087493,0.5325228,0.58033586,0.5962829,0.5677726,0.50715697,0.43872634,0.38209423,0.34367767,0.32121277,0.311571,0.3161228,0.33826244,0.37641814,0.4176172,0.44290605,0.43978915,0.41187665,0.3744581,0.3423058,0.32143566,0.31068692,0.30957294,0.3232158,0.3597783,0.42120424,0.49529436,0.5577817,0.5839984,0.56189036,0.4971019,0.40884137,0.32056344,0.25032184,0.20785694,0.19773225,0.22417326,0.28524324,0.36588255,0.43723908,0.47402668,0.46625105,0.4223517,0.3573729,0.28968236,0.2394001,0.22738409,0.26656696,0.35158142,0.4585135,0.5515452,0.6019822,0.5986156,0.55147946,0.48011467,0.40374157,0.3367506,0.29038385,0.2756705,0.2990692,0.35642254,0.42740634,0.48471594,0.51006716,0.50634336,0.4904598,0.47656772,0.46548763,0.4498864,0.42577264,0.3971558,0.37146142,0.35229492,0.33738956,0.32101873,0.29940847,0.27431026,0.25416294,0.24743338,0.25561213,0.26890263,0.274628,0.26564965,0.24557835,0.2234963,0.20935814,0.211263,0.23326623,0.27278495,0.31890073,0.35791612,0.37967762,0.38215992,0.37214065,0.36288035,0.36940527,0.39679933,0.43418494,0.4578837,0.45014656,0.41214406,0.36425146,0.32823825,0.31156433,0.3043208,0.2942467,0.28297082,0.28699163,0.3200896,0.37470803,0.42340827,0.43814948,0.4102265,0.35292622,0.28937644,0.2372595,0.20165128,0.18101029,0.17806296,0.20390148,0.26629362,0.35545412,0.4422442,0.49516293,0.49639854,0.4487191,0.36767673,0.27523607,0.19191968,0.13577308,0.120502375,0.1547888,0.2332204,0.33130446,0.41171744,0.44740334,0.43469474,0.3901312,0.33345875,0.28254512,0.25603142,0.2726859,0.34249184,0.45380712,0.57768756,0.67556596,0.7205062,0.7023046,0.63365346,0.5367529,0.43619737,0.34807363,0.28261223,0.24708241,0.24765868,0.2833065,0.3392258,0.39222264,0.42522156,0.44092336,0.45764557,0.49168196,0.5415747,0.5878947,0.60959333,0.5970042,0.55537146,0.49579728,0.4298786,0.36894426,0.32703945,0.32076985,0.36108127,0.4432207,0.5404182,0.6150207,0.63794446,0.60459286,0.5329971,0.45020375,0.37884784,0.331014,0.30991817,0.31491387,0.3435875,0.38989374,0.43835768,0.46943083,0.47015205,0.44730234,0.42079118,0.40882763,0.413335,0.42545334,0.43807808,0.4550693,0.48370278,0.52199405,0.5514047,0.5469767,0.4995413,0.43071297,0.38469335,0.3939556,0.4535983,0.52293336,0.55981827,0.5473656,0.49839184,0.4354216,0.37496424,0.32273167,0.28163946,0.25858483,0.26799336,0.31973746,0.40571943,0.48941436,0.5266821,0.49276802,0.40398315,0.301527,0.22517602,0.19249736,0.2034203,0.24901001,0.3163042,0.38442245,0.4304452,0.4382496,0.41155124,0.36893523,0.33612394,0.3272721,0.3412737,0.36075544,0.36909914,0.3586762,0.33646283,0.31145918,0.28850073,0.26425022,0.23703031,0.2104051,0.19490297,0.19878568,0.22191624,0.25313237,0.27821252,0.29058716,0.29461488,0.29917157,0.30630293,0.31054008,0.30632913,0.29722476,0.29443493,0.30592012,0.32814506,0.34728965,0.35273397,0.34505,0.33289853,0.3205168,0.3015421,0.26875114,0.22514457,0.1883408,0.1740464,0.18334435,0.19831215,0.2023229,0.19530572,0.19833516,0.22978492,0.28806606,0.3461537,0.37713972,0.37193224,0.34667346,0.3214195,0.30507407,0.28764075,0.25729004,0.21420574,0.17846115,0.17129652,0.19851913,0.24050938,0.272469,0.28161302,0.27759328,0.27572897,0.28342423,0.29178953,0.28850174,0.27005434,0.2510285,0.25296047,0.28794727,0.34450915,0.39503562,0.41503677,0.3990041,0.3594326,0.31314865,0.27126142,0.23732539,0.21456806,0.21039283,0.23569266,0.29195163,0.36235908,0.4121857,0.412364,0.35753068,0.27206257,0.19059198,0.14074452,0.13373397,0.1657443,0.22231312,0.28159985,0.32419607,0.33903596,0.32993022,0.31023976,0.29868987,0.3060654,0.33072022,0.35556352,0.3639482,0.3490249,0.32051373,0.29063156,0.26640666,0.24435747,0.22113033,0.19762261,0.1813973,0.17724796,0.18394548,0.1933126,0.20071645,0.2104731,0.23517112,0.282037,0.34302294,0.39605764,0.42116734,0.41389903,0.38706565,0.35724673,0.33368602,0.3142964,0.29536536,0.2777579,0.26872683,0.2704735,0.2750717,0.266915,0.23955816,0.20268732,0.17539878,0.16705155,0.16979611,0.16896646,0.15958562,0.1520316,0.15923704,0.18297546,0.20925577,0.22236918,0.21866585,0.21175402,0.21682042,0.23523915,0.24865443,0.23859118,0.20515352,0.17564738,0.18100567,0.23287793,0.30963567,0.37806705,0.41589054,0.4275787,0.42999235,0.43610585,0.44350943,0.44338253,0.4318551,0.41769138,0.41437307,0.42872968,0.45304498,0.47162047,0.47181562,0.45163158,0.41712466,0.37615773,0.3346472,0.2974832,0.27086666,0.26337257,0.28022373,0.317983,0.36045483,0.38902,0.3917813,0.37108207,0.33591262,0.29533294,0.2536058,0.2137808,0.18127261,0.16442455,0.16972585,0.19559658,0.23170333,0.26428637,0.2841829,0.2893722,0.284133,0.27489996,0.2677014,0.26419973,0.2608466,0.25119865,0.23336536,0.21513353,0.21193027,0.23618565,0.2876767,0.35274735,0.41248354,0.45153952,0.46205017,0.4448521,0.40900537,0.3691307,0.3376886,0.31860885,0.3063039,0.292183,0.27119198,0.24417262,0.21509625,0.18740249,0.16331278,0.1465186,0.14503199,0.16985579,0.2253592,0.30169526,0.37390915,0.41839275,0.42502907,0.4026716,0.3658649,0.3263688,0.2879642,0.25316352,0.22752297,0.22319473,0.25176114,0.31331554,0.38716123,0.44188797,0.45605317,0.43455407,0.4005593,0.37716174,0.37540814,0.39595687,0.43229318,0.46799326,0.48238465,0.4626719,0.41904128,0.3748978,0.34953883,0.3411599,0.335415,0.31879243,0.29003742,0.2565947,0.22878526,0.2156897,0.22311215,0.25074282,0.28863415,0.3208553,0.33360735,0.32350862,0.2970252,0.26449567,0.23381887,0.20956765,0.19526799,0.1958176,0.21443824,0.24844651,0.2857667,0.3116548,0.31662604,0.3034319,0.2825462,0.26525494,0.25660086,0.257529,0.27046743,0.30419904,0.3635036,0.43603835,0.48729014,0.4855307,0.42744032,0.34604183,0.28218,0.25620472,0.2586989,0.27159056,0.28891042,0.3227878,0.38247967,0.4564589,0.51104015,0.5192221,0.4829309,0.43330154,0.40161732,0.39623308,0.4008266,0.3952639,0.37470376,0.35259032,0.3461536,0.36069563,0.38515273,0.4025276,0.40150714,0.3819145,0.34977555,0.31250203,0.27531677,0.24254127,0.21817623,0.20722497,0.21346326,0.23631187,0.26740703,0.2934321,0.30282316,0.2923759,0.26703525,0.23507585,0.20320189,0.17514996,0.15243202,0.13520731,0.12267697,0.11366538,0.1071023,0.10297037,0.103007525,0.11140984,0.13189735,0.16315968,0.19520466,0.21384214,0.20959009,0.18528934,0.15421636,0.13213344,0.12767595,0.13910599,0.15622371,0.16825663,0.1692329,0.1604325,0.14647543,0.13190107,0.11889422,0.10801793,0.09907905,0.09166511,0.08529853,0.07952077,0.07400205,0.068564564,0.063099675,0.05764885,0.05236925,0.047578175,0.043551352,0.040393498,0.03794822,0.035876915,0.033856835,0.031657595,0.0292229,0.02656965,0.023849629,0.02172971,0.023938855,0.039126847,0.08014436,0.15238331,0.24465092,0.32647613,0.3697213,0.365695,0.33460617,0.30445433,0.29416296,0.30027708,0.30907032,0.30622566,0.29014143,0.26897815,0.25883186,0.26953423,0.30008563,0.33430505,0.35836992,0.37126508,0.39127842,0.43217254,0.486802,0.5208371,0.5035061,0.43226755,0.34275663,0.2811193,0.27318528,0.30828547,0.35102534,0.36971068,0.354589,0.32139257,0.29292417,0.2833679,0.28905845,0.29574898,0.28968188,0.26497987,0.22373913,0.17183967,0.11755679,0.06941425,0.034263793,0.013668322,0.00444276,0.0013921637,0.00068686483,0.0005651663,0.0005685827,0.0006165683,0.0006661322,0.0006901921]