[0.08662926,0.08037856,0.069720335,0.06385242,0.070950285,0.091602735,0.11860331,0.1413557,0.1535805,0.15574174,0.15266244,0.14838006,0.14427708,0.14029561,0.13741419,0.13730209,0.14079297,0.14633863,0.15158717,0.15491396,0.15653908,0.15724157,0.15758713,0.15802129,0.15998334,0.16666706,0.18081526,0.20238066,0.22634329,0.24645142,0.25871664,0.26432356,0.26638272,0.2673693,0.2677476,0.26750097,0.26676932,0.26572874,0.26467395,0.2641696,0.26488677,0.26675513,0.2690442,0.27085266,0.27114847,0.2686415,0.2619379,0.25144443,0.23950076,0.22998269,0.22513478,0.22486018,0.22657023,0.22788562,0.227793,0.22696434,0.22626632,0.22562997,0.2240219,0.2204042,0.21514587,0.21008037,0.20729388,0.20726784,0.20893443,0.21126069,0.21495187,0.22125739,0.23028906,0.23972748,0.24715573,0.25120452,0.25250268,0.25164318,0.24906385,0.24496065,0.24046393,0.23734146,0.2368076,0.23857255,0.24075703,0.24201243,0.24237686,0.2436232,0.24672191,0.25124633,0.25484183,0.25581977,0.2536226,0.24977286,0.24563621,0.24214868,0.23880553,0.23513798,0.23087473,0.22674668,0.22388883,0.22321828,0.22449915,0.22630423,0.2273009,0.22712082,0.22668849,0.22704214,0.22917353,0.23343612,0.23948556,0.24575518,0.2503486,0.25238928,0.25266933,0.2529451,0.25455284,0.25796106,0.2625817,0.26723328,0.27060518,0.27232018,0.27308857,0.27392444,0.27523735,0.27690414,0.27893844,0.28127745,0.2831492,0.28321537,0.28077617,0.2768202,0.273448,0.2725856,0.2747504,0.27909312,0.28392538,0.28759745,0.2890469,0.28826046,0.28627488,0.2847719,0.2850978,0.28752014,0.29085496,0.2932112,0.29312122,0.2909166,0.28861186,0.28854752,0.29139054,0.2958629,0.29954848,0.30019844,0.29560366,0.28441462,0.2670785,0.24740557,0.23108494,0.22305648,0.22452192,0.23290442,0.24368829,0.25332198,0.26072553,0.26704216,0.2735555,0.28007174,0.2847266,0.2859315,0.28391138,0.2807646,0.278614,0.27826157,0.27925882,0.2809557,0.2830194,0.2850789,0.28624067,0.28506565,0.2803635,0.2724906,0.26419517,0.25955757,0.26111016,0.26764536,0.27476776,0.27814865,0.27616873,0.27016413,0.2624217,0.25417835,0.2457198,0.23741692,0.23075517,0.22716312,0.22681628,0.22842662,0.23056698,0.23291503,0.23580764,0.23940696,0.24287374,0.24524303,0.2462145,0.24694543,0.24910884,0.25370148,0.25972912,0.26470312,0.26612818,0.26306242,0.25633714,0.24765015,0.23882788,0.2314207,0.22638398,0.22373913,0.22275062,0.22286463,0.22411811,0.22669338,0.23014957,0.23360401,0.23667316,0.23998086,0.24461748,0.25106642,0.25860283,0.26555872,0.2702768,0.2719393,0.2707527,0.26711938,0.2609028,0.25148687,0.23903942,0.22535236,0.2136484,0.20677309,0.20596488,0.21016069,0.21714759,0.22427548,0.229636,0.23195982,0.23105703,0.22754402,0.22296636,0.21907817,0.21699898,0.21665162,0.21679814,0.21623726,0.21425284,0.21120113,0.2075774,0.20390576,0.20030022,0.19693176,0.1940435,0.19180906,0.19038074,0.1897703,0.19014828,0.19095854,0.19122668,0.18983085,0.18749374,0.18655835,0.18953764,0.1962521,0.20325498,0.20617883,0.20272629,0.19429803,0.1842596,0.17606498,0.17145741,0.17074049,0.1729641,0.17677759,0.18083693,0.18446107,0.18793775,0.192362,0.19884343,0.20744163,0.21672593,0.22464645,0.22980236,0.23224819,0.23286109,0.23243244,0.2313032,0.22974396,0.22863823,0.22937335,0.233217,0.24024285,0.24903132,0.25729626,0.2631367,0.26566157,0.26505175,0.26200408,0.2576774,0.2531866,0.24938397,0.2464828,0.24452396,0.24364442,0.24402738,0.24515997,0.24576895,0.24417736,0.23955466,0.23244028,0.22522874,0.22089702,0.2214502,0.22611685,0.23196955,0.23569751,0.23544587,0.23107965,0.22374783,0.21561928,0.20935021,0.20710021,0.20944749,0.21519174,0.22212899,0.22777136,0.23010938,0.22794826,0.2213378,0.21167143,0.2013389,0.19335325,0.19012569,0.19260676,0.1991093,0.20637387,0.21119374,0.21272774,0.21169966,0.20889945,0.20376422,0.19627373,0.18869287,0.18519934,0.18879955,0.19883704,0.21190341,0.22428621,0.23418339,0.24130557,0.24616678,0.24920507,0.25092506,0.25186825,0.25263795,0.25372574,0.25511777,0.2565734,0.25783932,0.2596005,0.26270905,0.26770905,0.27327964,0.27701682,0.2763987,0.27096236,0.26262355,0.25436535,0.24799167,0.24268596,0.23647487,0.22855306,0.22114493,0.21802288,0.22145198,0.23026796,0.24083547,0.25012267,0.25686666,0.2613545,0.2636248,0.26365808,0.261512,0.2581751,0.25496233,0.2530894,0.2528074,0.25358233,0.25454903,0.25535798,0.25567988,0.25472304,0.25092518,0.24385215,0.23516019,0.228236,0.22539084,0.2262008,0.2284102,0.22965829,0.22950768,0.22818796,0.22689949,0.22591996,0.22571552,0.22566257,0.22550862,0.2248751,0.22441079,0.2247416,0.22637047,0.2285117,0.2297238,0.2282021,0.22358513,0.21691112,0.21061063,0.20624733,0.20429258,0.20387812,0.20442401,0.20562296,0.20750563,0.21013133,0.21347612,0.21747525,0.22136103,0.224424,0.22615498,0.2269793,0.22722626,0.22707336,0.2263441,0.22523959,0.22409232,0.22327888,0.22286303,0.22287595,0.22324282,0.22396399,0.2249549,0.22643216,0.22874658,0.23263066,0.23814742,0.24467897,0.25026906,0.25323656,0.25255024,0.24890298,0.24383503,0.2393297,0.23685627,0.23685925,0.23889826,0.24220751,0.24657834,0.25216672,0.25855532,0.2640736,0.26623043,0.2638631,0.2581487,0.25243905,0.24948628,0.2502623,0.25337017,0.25714228,0.2600228,0.2617589,0.2622207,0.26174954,0.25969824,0.25530016,0.24791735,0.2385722,0.22948213,0.22290002,0.22008805,0.22089575,0.22447282,0.22906464,0.23296887,0.23494267,0.23539771,0.23538941,0.2357765,0.2360555,0.23550843,0.234021,0.23263647,0.23220229,0.23255946,0.23239797,0.23085444,0.2278638,0.22411138,0.21911572,0.21208061,0.20250218,0.19243872,0.18504922,0.18344462,0.18820618,0.19758742,0.20816165,0.21643786,0.22019513,0.21887517,0.21388848,0.20733492,0.2010755,0.19546188,0.19010691,0.1849189,0.18069267,0.17801024,0.17647421,0.17489229,0.1726871,0.16992356,0.16700022,0.1640233,0.16172881,0.16199133,0.16670883,0.17609632,0.18753876,0.19787763,0.20488417,0.2085275,0.20930886,0.20809881,0.20572959,0.20332505,0.20168781,0.20112592,0.20174737,0.20361833,0.20672457,0.21053375,0.21442978,0.21782745,0.22063786,0.22269835,0.2238747,0.2239154,0.22298886,0.22135057,0.21912579,0.21603818,0.21217807,0.20804305,0.20431255,0.20086026,0.1972683,0.19330747,0.18945742,0.18615054,0.18336527,0.1806832,0.17781317,0.17492364,0.17241359,0.17073454,0.17005374,0.17039841,0.17155509,0.17351867,0.17653216,0.18101184,0.18672524,0.19252628,0.19713183,0.20010088,0.2021879,0.20421739,0.20659167,0.20898144,0.21105301,0.21263558,0.21414845,0.21623798,0.21915323,0.22196676,0.22308062,0.22127838,0.21665995,0.21023953,0.2033487,0.19715704,0.19221593,0.18779637,0.18113886,0.1687051,0.14885442,0.1251445,0.105881,0.09971122,0.10935982,0.12951934,0.15055372,0.16489325,0.17079516,0.1709402,0.16918331,0.16766097,0.16696341,0.16643839,0.16560443,0.16416167,0.16250922,0.160866,0.15903234,0.15633006,0.15258902,0.14859056,0.1455742,0.14400452,0.1432748,0.14234012,0.14096826,0.1397235,0.13943987,0.14036232,0.14226228,0.14491504,0.14835833,0.1527143,0.15743329,0.16122586,0.16238038,0.16029118,0.15622781,0.15314798,0.15371783,0.15876384,0.16729265,0.17749172,0.18778487,0.19639717,0.20172417,0.20220865,0.19723602,0.1867532,0.17211492,0.15610367,0.14286526,0.13536833,0.1334653,0.13375777,0.13269019,0.12953837,0.12676273,0.12754951,0.13308446,0.14173007,0.15049656,0.15692039,0.16081493,0.16361202,0.1673395,0.17473583,0.19116402,0.2250313,0.27897996,0.34168306,0.38771176,0.3962132,0.3667681,0.3194767,0.27707377,0.24980481,0.23543495,0.22769405,0.22290485,0.22013776,0.22132666,0.2323358,0.2624941,0.31453395,0.37641373,0.42146385,0.42919493,0.4005384,0.3565183,0.3180922,0.29129708,0.2725989,0.25740653,0.2469737,0.24120574,0.2387306,0.23648427,0.23371457,0.23073693,0.22806565,0.2278003,0.23483409,0.25667658,0.2946601,0.3392943,0.3707658,0.374626,0.3509049,0.31462395,0.28189424,0.26314083,0.26264992,0.28309783,0.3208315,0.3623462,0.3876916,0.3879758,0.37491146,0.37149158,0.38759133,0.40791944,0.40676498,0.3729533,0.31944153,0.26940382,0.23826714,0.2287053,0.23755659,0.25902584,0.28516242,0.3035215,0.30677047,0.29446277,0.2750902,0.25543872,0.23990607,0.22904146,0.22383374,0.22438823,0.22973664,0.23738568,0.24512458,0.2517629,0.2573572,0.26173854,0.26578423,0.27317217,0.2925403,0.33000994,0.37981215,0.41991138,0.4270719,0.39535835,0.34204885,0.29182884,0.25813565,0.23965715,0.22952294,0.22484694,0.22550292,0.2319944,0.24527085,0.2707219,0.31326744,0.3682857,0.41647887,0.43602887,0.42066118,0.384166,0.3465807,0.31666693,0.29193914,0.2682117,0.24764054,0.23440368,0.22965632,0.23034954,0.23277706,0.2346939,0.23545407,0.23628426,0.24144,0.25789428,0.28972042,0.33109605,0.3650006,0.37441444,0.35556313,0.32143095,0.2896353,0.27006486,0.2632414,0.26906678,0.28961834,0.32298604,0.3560439,0.37313947,0.37101611,0.36567888,0.373994,0.39459077,0.4052975,0.38710853,0.34226894,0.2916543,0.25542518,0.24046516,0.24387711,0.25924006,0.28002533,0.2971942,0.30307117,0.29571414,0.28092703,0.266588,0.25665092,0.25024682,0.24533892,0.24183948,0.24079089,0.24259728,0.24700862,0.2541776,0.26396206,0.2739338,0.2797876,0.28056037,0.28268036,0.29801688,0.33124518,0.37261894,0.39995685,0.3983259,0.36968902,0.3321391,0.30147532,0.2833823,0.2736636,0.26761183,0.26327023,0.26068518,0.2617793,0.27131894,0.29766545,0.34248194,0.3937917,0.42692694,0.42585406,0.39604628,0.35990632,0.3346753,0.32111278,0.31101632,0.2991847,0.28757036,0.27907348,0.27451542,0.27269566,0.27264634,0.27360642,0.27496648,0.27838573,0.28901896,0.31451932,0.35451004,0.39679036,0.41899416,0.40912855,0.37228605,0.32953504,0.29788697,0.28464466,0.28842556,0.3079218,0.34089422,0.37868026,0.40701404,0.4151876,0.4084746,0.40203235,0.4061382,0.41252574,0.40540525,0.37818158,0.34164846,0.31187618,0.29739058,0.296728,0.30576777,0.3202186,0.33518028,0.3428299,0.33945072,0.3264724,0.3108418,0.29676202,0.2858862,0.27758193,0.27299672,0.27280524,0.27658275,0.28176498,0.28717902,0.29337272,0.30216858,0.3126575,0.32278845,0.33227322,0.3473417,0.37325525,0.40690064,0.43056396,0.42739382,0.39397165,0.34762147,0.30913344,0.28930643,0.28359994,0.28348038,0.28489852,0.2891086,0.29822943,0.31369865,0.3383359,0.37406698,0.41514704,0.44626477,0.4519906,0.43181953,0.39950946,0.37163344,0.35204303,0.3368779,0.3217556,0.30989084,0.30474845,0.30722356,0.31356335,0.32056558,0.32624713,0.33064035,0.33459833,0.34184322,0.35799643,0.38676393,0.42201293,0.44791368,0.4485648,0.4223151,0.38355967,0.35152856,0.3365713,0.33797625,0.35130784,0.3730049,0.39868557,0.41923812,0.4263498,0.42055377,0.41298687,0.4146205,0.42346987,0.42752978,0.41590253,0.39251038,0.3689088,0.35662594,0.3567994,0.36634,0.37883458,0.38928822,0.39200237,0.38614213,0.37521556,0.3663791,0.3635685,0.36612067,0.3699287,0.3710235,0.3677577,0.36049938,0.35142425,0.34278098,0.33680722,0.33472595,0.3366541,0.3416958,0.34930196,0.3615181,0.38083422,0.40542123,0.42370558,0.4206849,0.38945818,0.34074315,0.29469118,0.26662332,0.25721917,0.25823736,0.26179343,0.26515326,0.2683682,0.27334812,0.28474268,0.31042024,0.35172018,0.39794955,0.42737973,0.42730033,0.40237716,0.37122014,0.34639207,0.32842645,0.31180242,0.29477483,0.28007746,0.26897967,0.25975367,0.24945003,0.23758014,0.22580618,0.21669482,0.213401,0.22107737,0.24657981,0.29144326,0.34441254,0.38274467,0.38778368,0.35998312,0.3181294,0.28362432,0.26697496,0.26887736,0.2883563,0.32264823,0.36171952,0.38739336,0.38986245,0.3794241,0.37867156,0.3965132,0.4146036,0.40667817,0.36496487,0.3099425,0.26743343,0.24998832,0.2522703,0.265257,0.28139916,0.29527652,0.29969347,0.29196313,0.27559948,0.25952065,0.24902564,0.24392493,0.24070092,0.23771411,0.23598345,0.23681062,0.24052046,0.24619178,0.25303206,0.2597915,0.26527312,0.27019396,0.27943036,0.3016403,0.339219,0.38217857,0.4078163,0.4010329,0.3650026,0.3216033,0.28963494,0.27466318,0.26966515,0.26760805,0.26611504,0.26613533,0.2693802,0.27814853,0.29577222,0.32175016,0.34866574,0.36379305,0.36038053,0.34486893,0.331511,0.32909146,0.33206943,0.33003658,0.3171217,0.29782343,0.2780714,0.26166245,0.24911505,0.2421846,0.24316537,0.25284448,0.26981428,0.293432,0.3264891,0.36973011,0.4155756,0.44569364,0.44531143,0.413838,0.36830792,0.32805765,0.30525318,0.30114338,0.3123659,0.33214036,0.35100356,0.35939112,0.355186,0.3473966,0.3483849,0.36089972,0.37211815,0.36526653,0.33544913,0.29526106,0.2634768,0.2509904,0.25728795,0.2762206,0.3018355,0.3274987,0.34501043,0.34772563,0.33638617,0.3190377,0.30510363,0.29858217,0.2975254,0.29792008,0.29746023,0.29615214,0.29476473,0.2941601,0.29525974,0.29885006,0.30438623,0.31041515,0.31750265,0.33122125,0.3582798,0.3973103,0.4331213,0.44499502,0.4237659,0.38024068,0.33672822,0.30931,0.30015588,0.30171296,0.30668947,0.31155655,0.31666088,0.32373312,0.33668125,0.3578565,0.38571134,0.40974894,0.4190302,0.4091663,0.3906525,0.3766819,0.37396324,0.37620023,0.37526467,0.36835852,0.3599596,0.3551068,0.35528973,0.35817146,0.36063066,0.3613722,0.36196062,0.3664156,0.38022956,0.40726855,0.44414333,0.4760417,0.48342708,0.45615685,0.40460178,0.35177577,0.3179581,0.31002772,0.32555342,0.35909057,0.3999174,0.4324796,0.44087493,0.4268599,0.40770963,0.4042348,0.4174006,0.4301782,0.42401525,0.39751068,0.36550486,0.34415284,0.3392408,0.3461183,0.3572844,0.36683857,0.37116417,0.36809218,0.35936213,0.34983286,0.345597,0.3484467,0.3563864,0.3654227,0.37384984,0.38136163,0.38810167,0.3925335,0.3932272,0.38940835,0.38197896,0.37251356,0.36480558,0.36593035,0.3846308,0.421914,0.4642357,0.4873054,0.47529602,0.43371913,0.38528705,0.35021964,0.33409083,0.33036914,0.33102807,0.33206198,0.33313695,0.335237,0.34124005,0.35548213,0.38050094,0.41111684,0.4341245,0.4370561,0.4194949,0.39297184,0.37102067,0.35741842,0.34916767,0.34188676,0.33638975,0.33375618,0.33517423,0.34010267,0.35014835,0.3648936,0.38182712,0.39500523,0.40397882,0.41454348,0.43491068,0.46207225,0.48083058,0.47451937,0.4416181,0.3970025,0.36021185,0.34142813,0.33991405,0.34924474,0.36258993,0.37389645,0.37879017,0.37694073,0.37144685,0.36627457,0.3626485,0.36085328,0.36345932,0.37676963,0.40403953,0.4382422,0.4622902,0.4618722,0.43779024,0.40307257,0.36996195,0.3398724,0.31148016,0.28897795,0.28139412,0.2904514,0.30443814,0.3081319,0.29474676,0.2725412,0.2536887,0.24515241,0.24362962,0.24266739,0.2385727,0.23226611,0.22764672,0.23018622,0.24811547,0.28663194,0.34084383,0.39087418,0.41458023,0.40329778,0.3697263,0.335363,0.314638,0.30850074,0.3107859,0.31681034,0.3249035,0.33577645,0.35032332,0.37218723,0.40276098,0.4381585,0.46424487,0.46867928,0.44980493,0.4224597,0.40292752,0.39782035,0.399791,0.3986279,0.38955477,0.37556884,0.36337885,0.36032143,0.37239286,0.40059057,0.4358425,0.45993498,0.45612922,0.42281023,0.3757771,0.33597255,0.31533659,0.31201544,0.31832317,0.32689524,0.33517984,0.3423127,0.3512676,0.3661716,0.39222443,0.42640975,0.4574,0.46972486,0.460749,0.44359362,0.43687224,0.44417545,0.4513872,0.44241115,0.4160373,0.38639104,0.36766174,0.36503696,0.37422076,0.38922217,0.40288603,0.4090948,0.4028233,0.38564602,0.3632187,0.34311476,0.32834423,0.3194711,0.31477156,0.3145211,0.31787145,0.3243805,0.3315216,0.33936068,0.34853736,0.36104122,0.37550807,0.39044246,0.40654168,0.42894128,0.45871136,0.4866568,0.4954205,0.4758333,0.43663368,0.39929518,0.38071457,0.38220057,0.3940283,0.40490806,0.41087222,0.41263938,0.41479382,0.42083585,0.43507445,0.45512986,0.4718667,0.46941856,0.441836,0.39941227,0.36384115,0.3491865,0.35232484,0.36167666,0.3687015,0.37445018,0.3813578,0.39140013,0.40418258,0.4222069,0.44449267,0.46533063,0.4707015,0.45209968,0.41158092,0.36572173,0.3306668,0.314569,0.31349328,0.31984735,0.3280134,0.33658186,0.34672093,0.36030555,0.37985647,0.40442905,0.42797664,0.44004324,0.4370052,0.4276471,0.4269007,0.43988445,0.4534761,0.45000902,0.4221965,0.38159993,0.34399617,0.32059667,0.3120896,0.3168384,0.33085725,0.34974787,0.3657582,0.37349215,0.37096503,0.36186948,0.3509542,0.34297824,0.33993113,0.3419168,0.34696296,0.35357425,0.3608874,0.36862954,0.37512195,0.37806532,0.3757601,0.37045094,0.3688222,0.38084114,0.41050515,0.45070767,0.48288634,0.49288008,0.47983682,0.4576514,0.43952343,0.4300716,0.42430606,0.4168173,0.4060801,0.3946843,0.38640416,0.38498375,0.39398798,0.41280103,0.43423927,0.44571796,0.4404846,0.4232669,0.4066106,0.39823708,0.39590672,0.39319882,0.3870771,0.3799322,0.3750014,0.37463424,0.38128695,0.39944115,0.43239996,0.4754502,0.5130052,0.5262968,0.50812155,0.46955076,0.43150958,0.40887642,0.40285385,0.4056138,0.4092565,0.4103593,0.40994227,0.41166592,0.4198191,0.43465078,0.4494847,0.45376194,0.44352376,0.42845556,0.42518905,0.44155404,0.4661286,0.47777605,0.46372715,0.4314221,0.39971647,0.38324693,0.38263562,0.39017,0.3987553,0.40625933,0.41246983,0.41669616,0.418565,0.41903487,0.4195157,0.41952822,0.41773656,0.41330776,0.4071871,0.4000857,0.39244875,0.38459525,0.37877718,0.3773096,0.38151872,0.38906753,0.39772072,0.4068704,0.4201893,0.43720338,0.45049527,0.44583854,0.41749242,0.37350634,0.33239427,0.3071312,0.29915527,0.30173364,0.30826244,0.31552812,0.3224275,0.33051696,0.34458604,0.37144744,0.41088295,0.45045948,0.47019055,0.4599891,0.4292691,0.39862585,0.38136902,0.3745307,0.36857185,0.35854337,0.34807816,0.34194994,0.3433611,0.35390547,0.37653932,0.4086503,0.43893787,0.44988057,0.43673396,0.41457948,0.40733397,0.4214295,0.437825,0.43199888,0.39835867,0.35505176,0.32417354,0.31578597,0.32599166,0.34678468,0.3706924,0.3913901,0.40244278,0.40170896,0.3921595,0.38101354,0.37319362,0.37132955,0.37745607,0.39709535,0.43190655,0.4731795,0.49981153,0.4957,0.462508,0.42029166,0.38835832,0.37275192,0.3682886,0.3698332,0.37692416,0.38911006,0.40192437,0.41009036,0.4128213,0.41553155,0.4230876,0.4351574,0.4465753,0.45461616,0.460778,0.4652342,0.46297273,0.4492056,0.4308149,0.42222857,0.43185607,0.4487156,0.45348585,0.43512,0.40130377,0.3673871,0.34404954,0.3317816,0.32765833,0.32962975,0.33746257,0.34982646,0.36613604,0.38840774,0.4181892,0.45046937,0.47126922,0.4694897,0.44684687,0.41856214,0.3979144,0.3867717,0.37781215,0.36545205,0.34992203,0.33456156,0.32224247,0.31748056,0.32682633,0.35466948,0.3943675,0.4283634,0.4387337,0.42208815,0.391324,0.36494675,0.35251215,0.35248515,0.3577634,0.36368307,0.36837468,0.3723139,0.37766182,0.38972858,0.41227892,0.44120845,0.46250606,0.46381998,0.44720182,0.4293191,0.42414573,0.42837024,0.42547774,0.4047806,0.37282237,0.3465874,0.33822724,0.347656,0.3674291,0.38939843,0.4085457,0.42067966,0.42349836,0.41612473,0.4019176,0.38526782,0.37048542,0.35811803,0.34738412,0.33741602,0.32944497,0.32507965,0.3254029,0.33148697,0.34393314,0.36121407,0.37746617,0.38791266,0.39481178,0.4080937,0.43287793,0.4617716,0.47838315,0.4742402,0.45407274,0.4299953,0.40875158,0.39087164,0.37573218,0.3662376,0.3657156,0.37410486,0.387601,0.40327117,0.42135403,0.44039974,0.45373514,0.45007122,0.4272654,0.39468515,0.369428,0.35971126,0.36239383,0.3678416,0.36999187,0.3686494,0.36686137,0.3691784,0.38091657,0.4063928,0.44234252,0.47537842,0.4868555,0.46781275,0.42590198,0.3814975,0.35164174,0.34152305,0.3448747,0.3528944,0.35959923,0.3634685,0.36610308,0.3714652,0.38454401,0.40606317,0.42916656,0.44139504,0.4378551,0.42803776,0.42829737,0.44266173,0.45563784,0.44754767,0.41459417,0.37287334,0.34189215,0.3298556,0.3328493,0.3444129,0.36003184,0.37612104,0.38731334,0.3905336,0.38692176,0.38184866,0.37907326,0.37935844,0.38086435,0.382467,0.38386437,0.38545522,0.387511,0.39043388,0.39439067,0.39853665,0.40127277,0.4024205,0.4057181,0.41847894,0.44353306,0.47346935,0.48990348,0.47936782,0.44326082,0.40034452,0.36954546,0.3590742,0.3629559,0.37132016,0.37730065,0.37974057,0.38127327,0.38746616,0.40569094,0.43859997,0.47797647,0.5045384,0.5028401,0.4736515,0.4348906,0.40528825,0.39167514,0.38784876,0.38437343,0.37628463,0.364964,0.35561764,0.35446894,0.36577293,0.38819575,0.4130859,0.42689487,0.4206902,0.3968359,0.36866662,0.34966815,0.34531102,0.35195398,0.3628609,0.37310883,0.38068998,0.3860402,0.39171305,0.40200314,0.4197884,0.44193077,0.45906135,0.4628345,0.45618615,0.45179403,0.45924887,0.47130895,0.47024307,0.44491735,0.40371743,0.36596358,0.34667528,0.34761214,0.3620729,0.38170555,0.40030003,0.413077,0.41794467,0.41557828,0.40963984,0.40346256,0.39912927,0.3971533,0.3979286,0.40172318,0.40785465,0.41468558,0.42001644,0.4230285,0.42383257,0.42357144,0.42266345,0.42302087,0.42814577,0.44234407,0.46328703,0.47978786,0.47638038,0.44712353,0.40085688,0.35617056,0.3273451,0.31832317,0.3240358,0.33768162,0.35395995,0.3704704,0.38716444,0.40671268,0.4317191,0.45915017,0.4773902,0.4729354,0.44361138,0.40322042,0.37078586,0.354985,0.3499266,0.3454258,0.33623365,0.32403687,0.31198442,0.3032937,0.30109006,0.30763826,0.3208635,0.33335838,0.33888316,0.33951756,0.3469044,0.3692006,0.39947322,0.4155799,0.40024635,0.35688654,0.30866623,0.27795026,0.27173635,0.28237522,0.29952517,0.3158042,0.3266075,0.32781354,0.31975928,0.307712,0.2997782,0.2999415,0.30873647,0.32612407,0.35535374,0.3946563,0.43263364,0.4492906,0.43544438,0.40065858,0.36797312,0.3521904,0.35141346,0.35415685,0.35227707,0.34553304,0.3366022,0.32793486,0.32178319,0.32149258,0.32839623,0.33945385,0.3479518,0.35096332,0.35170993,0.35640264,0.36552024,0.3723286,0.3694297,0.35425687,0.330041,0.30015585,0.26811105,0.23754597,0.2134124,0.19842976,0.19161797,0.18922423,0.18787456,0.1864069,0.18521617,0.1848445,0.18457377,0.18302731,0.17908342,0.17302321,0.1660655,0.15956421,0.15458524,0.15218179,0.1536447,0.1595038,0.16812587,0.17523515,0.17588182,0.16771734,0.15304114,0.13772486,0.12819894,0.12840413,0.13825233,0.15367633,0.1685567,0.1780525,0.18020736,0.1752613,0.1632324,0.14524691,0.12592652,0.11445197,0.11855018,0.13894048,0.16723621,0.19264661,0.20746084,0.21059299,0.20449959,0.19319569,0.18001805,0.16832125,0.16114694,0.16078544,0.1670423,0.17674237,0.1848122,0.18658425,0.17994364,0.16594274,0.14870442,0.13345589,0.124987714,0.12546736,0.13434468,0.14829634,0.16319846,0.17553543,0.18390018,0.18842237,0.18994944,0.18911009,0.18593578,0.17955166,0.16915168,0.15597783,0.14524527,0.14303567,0.151987,0.16729267,0.1813385,0.18857282,0.1898548,0.18881142,0.18873812,0.19001295,0.19167541,0.19263017,0.19255187,0.19167024,0.19039871,0.18915868,0.18830597,0.18813302,0.1886629,0.18932633,0.1892867,0.18794776,0.18561365,0.18318339,0.18151565,0.1809056,0.1809393,0.18073876,0.17876308,0.17307787,0.1621172,0.14620318,0.12804307,0.1116921,0.10071542,0.09768618,0.10413071,0.1202298,0.14297564,0.16628347,0.18321991,0.18996479,0.18775254,0.18161623,0.17707986,0.1765639,0.17880069,0.18061297,0.1803168,0.1787401,0.17781459,0.1782264,0.17879075,0.17803246,0.17539036,0.17142658,0.16686599,0.16268064,0.16025598,0.16066098,0.1635968,0.16704898,0.16928582,0.16956986,0.16857012,0.16715764,0.16713166,0.1705326,0.17828941,0.18781775,0.19340648,0.18958032,0.17491396,0.15327233,0.13155569,0.11633559,0.11188624,0.11884767,0.13438864,0.15221731,0.16626544,0.17377584,0.1768167,0.17873783,0.18035845,0.17978238,0.17522748,0.16792803,0.16091998,0.15686391,0.15590203,0.15602995,0.15427649,0.14859681,0.13927974,0.12917252,0.12273454,0.12407178,0.13491076,0.15319073,0.17347996,0.18981482,0.19873063,0.20084395,0.19922012,0.19706978,0.19579935,0.19490361,0.19281614,0.18788464,0.17941402,0.1675104,0.15344688,0.13904381,0.12739371,0.12207428,0.12559693,0.13653469,0.14839049,0.1533013,0.14728536,0.1344583,0.12398582,0.124236874,0.1369039,0.15666561,0.17502402,0.18505365,0.18436527,0.17486675,0.1614688,0.14987357,0.14460243,0.14705384,0.15526162,0.16514711,0.17326456,0.17814733,0.18067555,0.1823359,0.18434365,0.18663168,0.18876915,0.19043118,0.19223274,0.19478317,0.19783533,0.20008588,0.19989611,0.19655043,0.18963008,0.17923987,0.165201,0.14864911,0.131894,0.11870998,0.11161387,0.11001712,0.11002362,0.10821817,0.10555059,0.10684457,0.11633482,0.1332238,0.15257545,0.16890907,0.17959891,0.18490994,0.18643528,0.18526173,0.18100852,0.1724291,0.1589911,0.14241777,0.12647012,0.11537492,0.11247281,0.11932057,0.1345568,0.15276264,0.16576481,0.16828825,0.16221172,0.15594696,0.15637706,0.1640312,0.17355783,0.18043636,0.18392642,0.1860087,0.18761826,0.1878885,0.18562903,0.18121307,0.17629127,0.17271785,0.17162675,0.17369227,0.1790809,0.18716227,0.19615911,0.2035792,0.20695738,0.20471562,0.19696617,0.1864099,0.17738931,0.17378865,0.17595941,0.1809773,0.18433712,0.18324347,0.17716847,0.1673283,0.15499085,0.14124803,0.12806755,0.11914787,0.11868993,0.12845135,0.1456793,0.16482574,0.18043907,0.1900485,0.19342846,0.19211258,0.18786377,0.1829622,0.17939197,0.17912382,0.18313903,0.19083057,0.19851176,0.20008497,0.1894868,0.16501153,0.1313443,0.097700395,0.072419114,0.058807775,0.054857418,0.05659285,0.060876448,0.06620092,0.07189533,0.08042994,0.099723935,0.14269485,0.21388604,0.29923686,0.36818293,0.4004065,0.40360543,0.40518525,0.42032304,0.4363912,0.4300181,0.3946612,0.34679806,0.30819026,0.28701386,0.278124,0.27242377,0.26572344,0.25763652,0.2502516,0.24711056,0.2527884,0.26835254,0.2882874,0.30136013,0.29931515,0.28121278,0.25338385,0.2224518,0.19230126,0.1653617,0.14461507,0.13449359,0.13665225,0.14917366,0.16624999,0.1825273,0.1951884,0.20445949,0.21176831,0.21777137,0.22215874,0.22382618,0.22200955,0.21619074,0.20671071,0.19453274,0.18186669,0.17121208,0.16498573,0.16414589,0.16859819,0.17670436,0.1861537,0.19382715,0.19736242,0.19589132,0.19084911,0.18524343,0.1831814,0.18877621,0.20523483,0.23037137,0.2562871,0.2703729,0.26600254,0.24518476,0.21877253,0.19583286,0.18036543,0.17057222,0.16369359,0.15761335,0.15107007,0.14381005,0.1371627,0.13473232,0.13984387,0.15300505,0.17141394,0.19392349,0.22602002,0.27535293,0.34091863,0.4042286,0.44210684,0.44457057,0.42632237,0.4094317,0.40489152,0.4042841,0.3958769,0.37695006,0.3561308,0.34177494,0.33624604,0.33573976,0.33612204,0.33456454,0.3314785,0.32957104,0.33294034,0.34187296,0.3499836,0.34655222,0.3253684,0.2908601,0.25560853,0.23067497,0.21861495,0.21408325,0.21011214,0.20286387,0.1923486,0.18027003,0.16841738,0.158686,0.15329944,0.15419446,0.16130812,0.17218669,0.18301342,0.19063108,0.19360243,0.19236325,0.18909247,0.18678862,0.18770532,0.19109656,0.19379528,0.19259198,0.18790217,0.18312354,0.18244551,0.18707132,0.19564217,0.20518218,0.21325254,0.21729797,0.21508582,0.2061205,0.19510466,0.19008653,0.19612849,0.20795435,0.21366417,0.2046208,0.1830095,0.15739657,0.1349635,0.118906975,0.112329535,0.11890203,0.13916226,0.16608906,0.18941827,0.20188749,0.20414847,0.20110959,0.19803049,0.19908011,0.20957762,0.23637398,0.28069243,0.33320048,0.37562898,0.39684686,0.4006296,0.40104488,0.4038705,0.40213656,0.38601866,0.3579401,0.33090138,0.3164794,0.3150662,0.31981117,0.3244528,0.32748485,0.3295416,0.33179998,0.3355843,0.3419988,0.3479209,0.34566745,0.32740107,0.29412046,0.2560183,0.2263621,0.21137013,0.20910591,0.21288686,0.21665604,0.21550687,0.20549513,0.18501155,0.15805876,0.13520516,0.12850828,0.1432138,0.17342587,0.2059591,0.23010337,0.24217542,0.24500299,0.2413107,0.23304617,0.21994187,0.20215021,0.17889656,0.15214832,0.1276712,0.115211524,0.121628344,0.14564233,0.17691989,0.2023796,0.21283138,0.20614952,0.1861308,0.16091065,0.14188997,0.14145009,0.16454117,0.2033953,0.23793904,0.25192067,0.24188465,0.21988434,0.19894277,0.18632054,0.18041198,0.17717515,0.17242092,0.16382802,0.15144485,0.13887364,0.13266532,0.13817038,0.1557786,0.18060635,0.20881192,0.2428409,0.2874056,0.33963966,0.3840114,0.4057047,0.40473306,0.3978527,0.39862236,0.4038711,0.39784035,0.37273252,0.33672714,0.30642244,0.29053405,0.28683448,0.28760615,0.28823864,0.28771508,0.28717586,0.2884409,0.2943597,0.30541244,0.3166951,0.3181438,0.30337083,0.27544072,0.2459466,0.22486587,0.21459393,0.21060836,0.2077251,0.20320393,0.19653203,0.18723369,0.17545925,0.16294974,0.15361695,0.15089326,0.15550454,0.1651179,0.17681313,0.18880649,0.20061801,0.21163349,0.2213639,0.22957279,0.23673217,0.24248116,0.24548829,0.24418122,0.23868857,0.23109758,0.22417945,0.21949218,0.2170266,0.21593873,0.21574306,0.21618861,0.21780024,0.22232027,0.23341508,0.25290775,0.27691308,0.29458365,0.29574266,0.27836248,0.25045785,0.2227177,0.20147558,0.18736602,0.17941062,0.17858355,0.18684064,0.20373039,0.22407015,0.24066986,0.24869476,0.24850173,0.24412374,0.24195804,0.25079218,0.2798008,0.33065793,0.3893052,0.4320164,0.4437348,0.4340322,0.42535296,0.43007088,0.43592092,0.4242401,0.39072227,0.35133624,0.32413685,0.31629714,0.3253378,0.3490813,0.38481733,0.42373273,0.4491236,0.45026124,0.430675,0.40600398,0.38832283,0.37974703,0.37609437,0.37475076,0.3756566,0.37792572,0.3789352,0.3766943,0.3720483,0.36765698,0.36590394,0.36864713,0.3787024,0.40053192,0.43393227,0.46937498,0.48795295,0.47725737,0.44088745,0.39870504,0.36886358,0.35908985,0.3669304,0.39028856,0.42536923,0.46267247,0.48485896,0.48245072,0.4638187,0.44967186,0.45132568,0.45816326,0.45110747,0.42163566,0.38159695,0.34816623,0.33217958,0.33261904,0.34495822,0.36284363,0.38021407,0.38987938,0.38991117,0.38360062,0.37823352,0.3779373,0.3828368,0.39019656,0.39744094,0.4033319,0.40786693,0.41200277,0.41639164,0.42087996,0.4245101,0.42639172,0.42698154,0.42901585,0.43812224,0.45737803,0.4824058,0.49965295,0.49901542,0.48430833,0.47129044,0.47036806,0.4741732,0.4671909,0.44244245,0.41063574,0.38765678,0.38296947,0.3950609,0.41926074,0.4495562,0.47833905,0.4937843,0.48871437,0.46610072,0.43905237,0.4186339,0.40682578,0.3993393,0.3934958,0.39135858,0.39503407,0.40397072,0.41741872,0.4373734,0.46553934,0.4947082,0.5103283,0.50180876,0.47775748,0.45855507,0.45880857,0.4698858,0.47236183,0.4539157,0.42295638,0.39617074,0.38572192,0.3910953,0.40698412,0.42658558,0.4446387,0.45353672,0.4508903,0.44168922,0.43906522,0.448946,0.46456203,0.47038665,0.45953286,0.43849537,0.42002526,0.41014016,0.4070911,0.407135,0.4092113,0.41298112,0.41641188,0.41805902,0.41921338,0.42370602,0.43288395,0.44468364,0.45495203,0.46201566,0.4666585,0.47078776,0.4744704,0.47647825,0.47568226,0.47269776,0.4694185,0.467764,0.46967468,0.4771811,0.4914876,0.50775486,0.5150716,0.50310284,0.47590673,0.45099354,0.44405484,0.4504653,0.44946024,0.42622972,0.38736558,0.35405838,0.34122586,0.34951293,0.37093052,0.39974323,0.4299886,0.45248684,0.45569894,0.43854246,0.41207382,0.3925201,0.38683692,0.39189687,0.40115103,0.41172776,0.42421827,0.43853927,0.45423746,0.47119734,0.49111724,0.5117576,0.52551216,0.522651,0.5041048,0.4839463,0.47921586,0.49107757,0.50345236,0.49813378,0.47413397,0.44622752,0.43115187,0.43427873,0.4520173,0.47845352,0.5064871,0.5252549,0.52336746,0.5018626,0.47877124,0.47456232,0.49145028,0.5081102,0.5029412,0.4732356,0.43791106,0.41621545,0.41516432,0.4286679,0.44710848,0.46275198,0.4714779,0.47338918,0.47200286,0.47164997,0.47429633,0.47943756,0.48573563,0.49246836,0.4986196,0.50299627,0.50435805,0.50440687,0.5069055,0.5170591,0.5331687,0.5464805,0.5442416,0.52539253,0.5031976,0.4945666,0.5015329,0.50633997,0.49081966,0.45250928,0.41006172,0.38321233,0.38095304,0.39821258,0.42758152,0.46230972,0.49383226,0.5096523,0.50321084,0.48356533,0.4702455,0.47448608,0.48732534,0.49001893,0.4742185,0.44934162,0.43108532,0.42642716,0.43311974,0.44709253,0.46616745,0.48435736,0.49084663,0.47873628,0.45562378,0.43832183,0.43750298,0.44588354,0.44815,0.4363456,0.41801655,0.40579984,0.4063978,0.41830274,0.43813774,0.46249282,0.4845822,0.49366638,0.48476422,0.46655944,0.45671606,0.46496084,0.48358724,0.4954419,0.49055982,0.47231245,0.45014283,0.42999044,0.41555104,0.4119424,0.4234129,0.4449004,0.4617125,0.462294,0.4488571,0.43400013,0.42477027,0.41493145,0.3927519,0.35460022,0.30979368,0.27206174,0.24994147,0.24248363,0.24395925,0.24915409,0.25668743,0.2673215,0.2810667,0.2949871,0.30429316,0.3047608,0.29541138,0.27817547,0.2567017,0.2335882,0.21027112,0.18704765,0.16497411,0.14548735,0.13024892,0.119564414,0.11282867,0.108553685,0.105753176,0.103693515,0.10231543,0.10130163,0.10031617,0.098785795,0.09652081,0.09382398,0.09134585,0.08996791,0.090345174,0.093056165,0.09786663,0.10377699,0.10894573,0.11191077,0.11229831,0.11120456,0.11117018,0.11605453,0.13026679,0.15546322,0.18801384,0.2191935,0.2410959,0.2510221,0.25234544,0.24968402,0.24605276,0.24202012,0.23779781,0.23360091,0.23012935,0.2279137,0.22806878,0.2310365,0.23652856,0.24213189,0.2454717,0.24500751,0.24124317,0.23484315,0.22545266,0.21228497,0.19603024,0.1808319,0.17272282,0.17610665,0.19017686,0.20880647,0.22511809,0.23556219,0.24127078,0.24403457,0.24336833,0.23637931,0.22113161,0.1985416,0.17216748,0.14686032,0.12878536,0.12420821,0.13652788,0.16238353,0.19251351,0.21713774,0.23180765,0.23839301,0.2414453,0.24437255,0.24782605,0.250852,0.2522067,0.25184205,0.2501824,0.24704315,0.23983109,0.22529362,0.20223804,0.17423977,0.1476162,0.12770136,0.11566088,0.1093863,0.105968215,0.10377774,0.102396555,0.101820625,0.10183857,0.1022557,0.10326618,0.10561196,0.10994548,0.116080135,0.12259535,0.1275359,0.12943415,0.12843208,0.12685107,0.1292044,0.14049594,0.16317232,0.19479124,0.22842439,0.25635973,0.273101,0.27751604,0.27194324,0.26162562,0.2518377,0.24601056,0.24419312,0.24476379,0.24620362,0.24800122,0.2499129,0.25152853,0.25280896,0.25412408,0.25583157,0.25711873,0.25661212,0.25327536,0.24780816,0.242103,0.2378499,0.23451215,0.22894019,0.2173205,0.19898419,0.17886229,0.16645007,0.16991389,0.1907474,0.22118759,0.24932249,0.2652785,0.26676655,0.2571683,0.24154629,0.22290148,0.20375556,0.18855529,0.18228348,0.18545945,0.19181122,0.19417953,0.19227703,0.19356655,0.20577466,0.22902523,0.2568805,0.28190184,0.30114663,0.31458583,0.32238165,0.3224431,0.31156906,0.2869756,0.2486123,0.20057015,0.15124856,0.109884225,0.08219423,0.06768756,0.061694115,0.059019536,0.056648653,0.053736016,0.050494358,0.04718261,0.043822307,0.040310647,0.03675461,0.03356609,0.031312708,0.030275792,0.030202137,0.030392855,0.030139374,0.029152235,0.027683401,0.026321247,0.02559881,0.025726458,0.026542192,0.027701909,0.028878106,0.029849341,0.030466536,0.030643031,0.030420082,0.029997995,0.029673086,0.029693639,0.030203238,0.031254932,0.032843787,0.034869354,0.03707737,0.03909548,0.040549297,0.04122069,0.04109023,0.040315058,0.039149795,0.037891973,0.036788717,0.03591205,0.036351163,0.04286873,0.06605048,0.11729219,0.19683142,0.28569615,0.35586312,0.39325812,0.4091053,0.4226857,0.43657696,0.43335068,0.40258887,0.3588841,0.33116782,0.33154383,0.34427738,0.34345046,0.31686816,0.27271405,0.226701,0.19320875,0.18428445,0.21300602,0.28271136,0.37692535,0.45985043,0.50199294,0.499378,0.47387245,0.4498099,0.43703958,0.43184003,0.4267607,0.41982856,0.41203272,0.40862873,0.41526613,0.43875346,0.47725478,0.51853323,0.5421806,0.53690296,0.5077217,0.47110847,0.43771508,0.40581962,0.36910537,0.32681784,0.28613436,0.25427297,0.23718637,0.2401011,0.27137122,0.33019122,0.4011182,0.45280334,0.4643189,0.43658984,0.39454016,0.3614047,0.347803,0.3489894,0.35707417,0.36583868,0.372581,0.37760553,0.38487378,0.4015043,0.42947268,0.46067318,0.478603,0.47628245,0.46520948,0.46482825,0.4795096,0.4886093,0.46945107,0.41748354,0.3536003,0.29960358,0.2669399,0.25357386,0.25822246,0.27930227,0.31351522,0.34931734,0.3768424,0.39118147,0.39744076,0.4006337,0.4045763,0.40790728,0.4103568,0.41094205,0.4113743,0.41148558,0.41287103,0.41467884,0.41830206,0.42242002,0.42770323,0.43407223,0.446321,0.46712112,0.49333295,0.5100798,0.5033755,0.4710879,0.42915502,0.3960869,0.38116777,0.3792268,0.38221303,0.3852782,0.38907662,0.39494666,0.40506867,0.42372918,0.45356622,0.48922738,0.513499,0.5112091,0.4820569,0.44350806,0.41265884,0.3923923,0.37360427,0.34878266,0.32037124,0.2950517,0.27881324,0.27598283,0.2949113,0.3408977,0.40777543,0.46908078,0.49689236,0.47863913,0.4314649,0.38205597,0.35056576,0.33739796,0.33481488,0.33528003,0.33714604,0.34157386,0.35113227,0.3707056,0.40380296,0.44640446,0.4830368,0.49740565,0.48840532,0.4719863,0.4662294,0.47051343,0.4717773,0.4612714,0.4490428,0.4481598,0.4564124,0.45587972,0.43387255,0.3993195,0.3713968,0.36066148,0.36200055,0.36957875,0.38598192,0.41355708,0.44048855,0.44440976,0.41588807,0.37071505,0.3373631,0.3303293,0.34303442,0.3630165,0.38705993,0.4154583,0.4384854,0.43891343,0.4141363,0.38574183,0.38218984,0.40849516,0.44163442,0.45438695,0.44009486,0.41351566,0.39186153,0.38197592,0.3805382,0.3824183,0.38456747,0.3862793,0.38886544,0.3971443,0.41805112,0.4534988,0.49233088,0.5143897,0.50643325,0.47561947,0.44072422,0.4138008,0.38951874,0.35842526,0.31930247,0.282169,0.25564796,0.24391289,0.24884515,0.27736673,0.3312004,0.39952722,0.45422506,0.47312245,0.45273003,0.4145131,0.38143846,0.36614394,0.3643851,0.3674992,0.36859357,0.36693564,0.36587414,0.37131384,0.39015618,0.42320463,0.46211803,0.48975137,0.49672532,0.48916352,0.4840943,0.48896298,0.4927679,0.47826934,0.43977144,0.39002952,0.34641585,0.31989726,0.3109925,0.31815243,0.33789945,0.36495173,0.3898431,0.40961197,0.43034318,0.46074948,0.49525627,0.5123885,0.4935886,0.44228005,0.38258407,0.3365396,0.3099294,0.29685083,0.2947221,0.30427954,0.32210794,0.33610955,0.34037146,0.34419525,0.36459398,0.40479258,0.44622245,0.46898735,0.4724183,0.4758004,0.49171838,0.51114124,0.5151918,0.5003794,0.4824457,0.47645208,0.4778383,0.47361806,0.4618949,0.4577135,0.47033343,0.48899898,0.4927993,0.4754612,0.4505341,0.43449882,0.42942426,0.42846105,0.42898062,0.4358448,0.44961765,0.46099487,0.46191618,0.45732555,0.4611139,0.47734284,0.4931339,0.4943786,0.48432025,0.4816403,0.4968079,0.51890355,0.52793056,0.51833516,0.50264835,0.49429932,0.4918019,0.4869145,0.47908953,0.47878948,0.49031392,0.50394756,0.5050534,0.49390456,0.4854773,0.4928889,0.5108659,0.5237622,0.52309126,0.51616144,0.5135359,0.515595,0.51368827,0.5029234,0.48846802,0.47735897,0.469771,0.46105674,0.45307565,0.45376447,0.46683928,0.47897795,0.4721118,0.44089976,0.40409157,0.3835968,0.38490856,0.39322853,0.39660636,0.39828464,0.40834582,0.4232794,0.4273609,0.41302565,0.39539924,0.397851,0.42569792,0.45948026,0.47515652,0.46675506,0.44633672,0.42885718,0.4190391,0.4149299,0.41290542,0.4130126,0.41546142,0.42321107,0.4403348,0.47150147,0.5120884,0.54727125,0.5584593,0.5411227,0.50734895,0.4774325,0.46136156,0.4579285,0.459123,0.46148732,0.46311697,0.46466962,0.4660718,0.47259727,0.49057952,0.5212648,0.55257505,0.5652587,0.5488615,0.51139665,0.47280058,0.448344,0.4405954,0.4434978,0.45050415,0.4575839,0.46314475,0.46757928,0.4754227,0.49285242,0.5208609,0.5492308,0.5608082,0.54894173,0.5262754,0.5153206,0.5243154,0.53824323,0.5349976,0.5062929,0.46396807,0.4246591,0.39855266,0.38753954,0.392302,0.41226164,0.44237992,0.47116438,0.48860827,0.49108276,0.48400524,0.4730591,0.4631336,0.45438194,0.44854257,0.44515207,0.4455783,0.44772327,0.45127165,0.45382777,0.4553099,0.45364508,0.44980922,0.44697142,0.45435736,0.4772098,0.51223344,0.54276556,0.5548977,0.5453298,0.5267801,0.51219296,0.5082607,0.5113523,0.51638776,0.51950794,0.5202503,0.520202,0.5236428,0.5359385,0.55749077,0.5795181,0.5866329,0.5697621,0.5346404,0.49732256,0.4712162,0.4579341,0.45336536,0.4533699,0.45825255,0.46702203,0.47864795,0.492476,0.5117967,0.53731483,0.5631211,0.57519656,0.5636464,0.5314416,0.4953989,0.4728394,0.47048858,0.48274192,0.49916935,0.51209766,0.51917416,0.5226677,0.5279656,0.54098946,0.56316084,0.58683836,0.59745973,0.5861351,0.55995995,0.53821945,0.5323436,0.53308624,0.51929337,0.48075554,0.42974415,0.38951293,0.3753039,0.38504648,0.4072721,0.4307524,0.4508673,0.46654904,0.4794304,0.4909663,0.50317913,0.5162857,0.5293332,0.5402542,0.5477329,0.55105704,0.5504997,0.5467178,0.54137945,0.5362517,0.5328749,0.53164315,0.5328323,0.53741235,0.5481975,0.5656872,0.58420557,0.58909535,0.5674766,0.51904297,0.4620078,0.4196719,0.40613893,0.41857734,0.44529152,0.47461763,0.5007413,0.522101,0.54060286,0.5581886,0.5753949,0.58578277,0.58117986,0.5565905,0.52176136,0.49201038,0.4798499,0.48185158,0.48892084,0.49357346,0.49775782,0.5046976,0.5161476,0.5309196,0.55040216,0.5765238,0.60730547,0.6313043,0.6339231,0.60875016,0.56672364,0.52767295,0.50735396,0.5063648,0.51727384,0.530917,0.5435438,0.5530515,0.56105036,0.5704181,0.58468133,0.5988926,0.6022703,0.5852186,0.5553083,0.5316686,0.53030854,0.54437804,0.5512505,0.53160673,0.4880484,0.43981317,0.40682456,0.3965524,0.4054204,0.42634198,0.45247793,0.4781836,0.49811563,0.5113685,0.5206763,0.5308448,0.54327345,0.5558665,0.56520987,0.56955296,0.5697256,0.56747156,0.56482935,0.56332,0.56438136,0.5688376,0.57634276,0.58606046,0.5973647,0.61088705,0.6247536,0.6320204,0.62238955,0.59282666,0.5556671,0.5316846,0.53299314,0.5511053,0.56744415,0.5708981,0.5647075,0.55749124,0.5525641,0.5514307,0.5567724,0.5707552,0.58587503,0.5888391,0.5736689,0.549145,0.5307125,0.5258576,0.53212637,0.54476446,0.5623772,0.5813539,0.59124696,0.5813827,0.5542965,0.529001,0.52374035,0.53863114,0.5530217,0.5497443,0.5317419,0.52059823,0.53060126,0.55468065,0.5720994,0.57107294,0.55795246,0.5472266,0.5456179,0.55111,0.5590877,0.5684489,0.57532126,0.5740629,0.56266195,0.5505626,0.55038065,0.56353587,0.5767624,0.5750916,0.5593985,0.54257256,0.53716797,0.54029495,0.54332286,0.53886366,0.52863353,0.512567,0.48941204,0.46013865,0.43744278,0.4351295,0.4530765,0.46849644,0.45800856,0.4197348,0.37957525,0.36317873,0.37554237,0.40139887,0.42933738,0.4592681,0.4931706,0.52017903,0.5268896,0.5141058,0.50154465,0.50668055,0.5256985,0.53797585,0.5277101,0.49873003,0.46720254,0.44611838,0.4379402,0.43801042,0.4421719,0.4482257,0.45672902,0.46945122,0.48977676,0.5180219,0.5474181,0.56417114,0.55741215,0.5294592,0.49510953,0.47044006,0.46033528,0.46087226,0.46454045,0.4685825,0.470749,0.4718676,0.47390738,0.4843924,0.5072584,0.5382128,0.559612,0.5552601,0.52148014,0.4744872,0.43529078,0.41652307,0.4152024,0.42151925,0.4276813,0.43137872,0.4336561,0.43795812,0.45047235,0.47692966,0.5123251,0.53885925,0.5372452,0.5094989,0.4798489,0.4722515,0.48301688,0.4847773,0.45708993,0.40814397,0.36580095,0.3501011,0.3595374,0.37988698,0.39738777,0.4060441,0.40345117,0.3924671,0.37965524,0.3741323,0.37875,0.3879571,0.39290813,0.39101556,0.38860688,0.3939862,0.40942195,0.42951393,0.44701803,0.4582722,0.46350276,0.46477163,0.465932,0.47431514,0.49802253,0.5355719,0.57113606,0.581585,0.5578343,0.5127609,0.4726853,0.45533046,0.46171975,0.48142576,0.50429124,0.5248082,0.541354,0.55463356,0.56710505,0.5812135,0.59444577,0.59798616,0.5814159,0.54416925,0.49967408,0.46737978,0.45875147,0.4698058,0.4890159,0.50574106,0.5173332,0.52442646,0.53058046,0.53939116,0.55534214,0.57690173,0.5935933,0.5893104,0.55720466,0.50878227,0.4675469,0.45115945,0.45971516,0.48140302,0.5036128,0.5211106,0.5331711,0.54227924,0.5515256,0.56594396,0.58504766,0.6016557,0.6023488,0.58451265,0.55989087,0.5481756,0.55353975,0.56099874,0.55077416,0.51992756,0.48333192,0.45760512,0.44777456,0.44853845,0.45411107,0.46174955,0.47079006,0.47935072,0.48704657,0.49405095,0.501401,0.50760907,0.5111168,0.51158494,0.51135534,0.51320153,0.51794964,0.5240373,0.52860713,0.52978283,0.52753896,0.52348965,0.5205949,0.52271694,0.53460425,0.556992,0.5826064,0.59520173,0.5813243,0.5418182,0.4948002,0.46220207,0.45503172,0.46955004,0.49451172,0.52033573,0.5417357,0.5581748,0.5730073,0.5902899,0.6085078,0.616983,0.6042915,0.5705815,0.53262115,0.5099771,0.5103138,0.524486,0.54006904,0.55069214,0.5590699,0.5679398,0.5786435,0.5903844,0.6055233,0.6242695,0.641416,0.6425028,0.61642057,0.56596977,0.51219153,0.477898,0.4733785,0.49117413,0.518104,0.5435185,0.56395507,0.5787427,0.5909589,0.6033147,0.61631614,0.6230863,0.61571044,0.5939943,0.57152796,0.564282,0.5761082,0.59103507,0.5894212,0.5629237,0.5238912,0.49034688,0.47517657,0.4782298,0.4933178,0.5126521,0.5299699,0.54124856,0.5453443,0.5449462,0.5432286,0.5425366,0.54213744,0.54188824,0.54158,0.5434329,0.5479823,0.5559843,0.5652303,0.57426983,0.5803089,0.5832034,0.5835929,0.5854273,0.59219235,0.60514265,0.618362,0.6197815,0.59992164,0.56269485,0.52962613,0.52232593,0.54611963,0.5831654,0.61341476,0.6280479,0.6302603,0.621097,0.5992655,0.5719244,0.5558512,0.56272775,0.58126855,0.5873293,0.5655095,0.52623105,0.49134907,0.47644222,0.48064134,0.49743629,0.52151245,0.5466416,0.5628948,0.5618203,0.55048424,0.5456875,0.558485,0.5776942,0.5831612,0.5678663,0.54769045,0.54379505,0.56038666,0.5833141,0.5959542,0.59586906,0.5881486,0.5771086,0.5595331,0.53932,0.5274363,0.53476125,0.55441165,0.56723636,0.5611674,0.5448364,0.5368047,0.54165673,0.5447314,0.52962273,0.5008903,0.47809097,0.47595215,0.48702326,0.4972408,0.49863327,0.49506783,0.48568282,0.46590242,0.43615606,0.41358694,0.4162811,0.4435623,0.4682779,0.46312407,0.4257475,0.38138652,0.35547462,0.35235023,0.36166,0.378806,0.4096481,0.4543263,0.4949541,0.511175,0.50217056,0.4894431,0.49122486,0.5019412,0.5010431,0.4771888,0.4414101,0.4135799,0.40497673,0.4124029,0.42619982,0.43930984,0.44904646,0.45687303,0.46669635,0.48496118,0.5131741,0.5431238,0.5564525,0.5405197,0.4989886,0.45013082,0.40866408,0.3750068,0.34185156,0.30649307,0.2758863,0.2573412,0.25425765,0.2675165,0.30216193,0.36132026,0.4359227,0.499674,0.5263066,0.50936234,0.46933118,0.43433908,0.42050052,0.42501095,0.43694058,0.44799575,0.4557928,0.4629941,0.4746921,0.49709544,0.53021336,0.5626939,0.5750396,0.5558104,0.5167952,0.48511028,0.48020914,0.49314353,0.49926424,0.48094404,0.44496444,0.40947583,0.38914058,0.38579702,0.39640543,0.41634837,0.4408214,0.4624475,0.4758004,0.48059478,0.4804465,0.47864464,0.47478822,0.46927857,0.46342432,0.46172962,0.46533987,0.47419634,0.48470068,0.49513277,0.5028145,0.50590014,0.5022116,0.49472722,0.49245808,0.50584483,0.53343946,0.5571554,0.5513086,0.50655895,0.43886626,0.38111588,0.35675684,0.3683561,0.40006498,0.433802,0.45853016,0.47311518,0.4830726,0.49688625,0.52084166,0.5518145,0.5747692,0.57149786,0.53698057,0.48599508,0.43985987,0.40828136,0.38522443,0.36262283,0.3417056,0.3299426,0.33125588,0.34307465,0.36414686,0.39922822,0.45046034,0.50676364,0.5429096,0.5416078,0.50680107,0.46323785,0.43330956,0.42548966,0.43417117,0.4504021,0.4673982,0.48205915,0.49614835,0.51543206,0.54633164,0.5847871,0.6141756,0.6134988,0.5805741,0.538068,0.5152843,0.51933974,0.5287394,0.5220628,0.5016835,0.49052382,0.5004182,0.5170007,0.51600134,0.48925412,0.45001492,0.41473296,0.38908112,0.37476528,0.37939084,0.41183206,0.46474087,0.5106702,0.5238099,0.50185657,0.46701846,0.4419936,0.43332493,0.4363093,0.44885406,0.4733549,0.5043251,0.5249304,0.52207863,0.50382733,0.49351516,0.5050822,0.52555853,0.5303827,0.5077357,0.47105563,0.44181123,0.4328737,0.4418503,0.4613763,0.4845139,0.5080324,0.5288164,0.5468984,0.5633104,0.5792487,0.59046704,0.58975434,0.57275635,0.5433864,0.5101189,0.47958067,0.45278847,0.43028697,0.4123374,0.3993872,0.38744578,0.37494215,0.36618242,0.37354442,0.40443477,0.45174503,0.49207535,0.5045559,0.4868826,0.45827615,0.44098306,0.44455644,0.4639196,0.48939535,0.5152678,0.5390956,0.5611138,0.5814712,0.60142577,0.61782604,0.6250916,0.61773986,0.6008387,0.58706623,0.5878518,0.5988118,0.601865,0.5789233,0.5282296,0.46588078,0.41326693,0.38395083,0.37908053,0.3935181,0.41985714,0.45194006,0.48375103,0.5137172,0.54215145,0.5684984,0.5838961,0.57685024,0.54389805,0.49789926,0.45920327,0.43883166,0.43237785,0.4291215,0.4258041,0.42562905,0.4299121,0.43246618,0.42942318,0.42760435,0.4422736,0.47874022,0.5232015,0.5517616,0.55534285,0.54656476,0.5456223,0.55578226,0.5653748,0.56392074,0.55800486,0.5574655,0.5624945,0.56187606,0.5539767,0.5505557,0.5621782,0.57954365,0.5806582,0.55642086,0.5195944,0.49216866,0.4833615,0.4909471,0.5098522,0.53791,0.56654865,0.58127147,0.5729863,0.5524588,0.54171616,0.55136424,0.56776446,0.5681327,0.5487861,0.5288821,0.5303972,0.55090046,0.5706051,0.57297,0.5645876,0.55963296,0.5646642,0.5707238,0.5729018,0.57553476,0.58484286,0.592658,0.5839746,0.55750626,0.53384113,0.53459686,0.55741376,0.57614344,0.57005984,0.54505104,0.52400684,0.519586,0.5215106,0.5147489,0.4970986,0.48109353,0.4769431,0.4860179,0.5070999,0.5414985,0.5867072,0.627074,0.64089245,0.61973286,0.57785314,0.54061705,0.5227931,0.5235767,0.5355478,0.5549876,0.57629365,0.588691,0.58135796,0.559871,0.5442756,0.55150485,0.57451516,0.58685654,0.5671995,0.5184915,0.4649,0.4295073,0.42009524,0.42792952,0.44040382,0.44869092,0.45156583,0.45310178,0.46147457,0.48524657,0.524967,0.56770474,0.5905281,0.5796806,0.5415589,0.49669385,0.4587108,0.4240867,0.38321567,0.33347997,0.28474873,0.2480823,0.23244928,0.2430213,0.28574455,0.35805348,0.44342765,0.510645,0.53613394,0.5190162,0.48407808,0.45857647,0.4558414,0.4709202,0.49243033,0.512216,0.527631,0.5411089,0.55601007,0.5772248,0.60254437,0.62274903,0.6212902,0.5934568,0.553566,0.52892274,0.5323238,0.54766035,0.5441064,0.5033784,0.4358901,0.3671236,0.32039607,0.30491164,0.31978372,0.35659602,0.40381816,0.44910577,0.48567995,0.51265997,0.5332132,0.54877657,0.5596102,0.5652828,0.5669973,0.5646484,0.5582404,0.54756624,0.5360344,0.5258665,0.5172906,0.5060212,0.49142277,0.47916928,0.48137784,0.5047815,0.5420309,0.5708993,0.5695115,0.5333484,0.48008934,0.4353629,0.4146606,0.41657257,0.4306388,0.44776106,0.46412775,0.48017395,0.49851194,0.52393943,0.5586266,0.5957418,0.6171704,0.6057,0.5610146,0.5025813,0.45221338,0.41687202,0.38829207,0.35939535,0.33260465,0.31624794,0.31369767,0.3240093,0.34792957,0.39058495,0.45137158,0.5139861,0.5513556,0.54734546,0.51154023,0.472375,0.45286617,0.45743,0.47559798,0.49696064,0.5169609,0.5361418,0.5559785,0.5785474,0.60499096,0.62978196,0.6401512,0.62427235,0.5883791,0.5563919,0.549813,0.56482726,0.5761222,0.5667875,0.545789,0.5350861,0.5393205,0.54048115,0.52072287,0.484589,0.45231453,0.43578878,0.43017468,0.42867804,0.43828738,0.46866712,0.51269203,0.5416158,0.5332777,0.4935405,0.45206347,0.43186125,0.43360487,0.44590476,0.46525776,0.49530768,0.532953,0.560793,0.5657435,0.5548712,0.5501097,0.5625288,0.5780044,0.57468086,0.54544663,0.5077633,0.48401928,0.48576102,0.50705975,0.5358219,0.56221515,0.5839421,0.60314083,0.6232247,0.64431876,0.660271,0.660667,0.6379606,0.597585,0.55471474,0.5209296,0.4923049,0.4557859,0.40734568,0.35933247,0.3312186,0.3327596,0.3588977,0.39791355,0.44210848,0.4891089,0.53374285,0.5622006,0.5616531,0.53317285,0.4962,0.4729296,0.473956,0.4947095,0.52470756,0.5557296,0.5826258,0.60277534,0.61452335,0.6195636,0.61834365,0.61028856,0.5929732,0.57232785,0.55991006,0.5657751,0.5818158,0.58695346,0.5618033,0.50810796,0.4444929,0.3923963,0.36212906,0.3540671,0.36596432,0.39406976,0.4325392,0.47169158,0.5068694,0.5389449,0.57007694,0.59354305,0.5970715,0.5758279,0.53934926,0.50288004,0.4716005,0.4402609,0.4049463,0.37323305,0.3554968,0.3541225,0.36039296,0.36976537,0.38847443,0.4272788,0.4819444,0.5302951,0.5506742,0.5446768,0.53625685,0.5462195,0.5717272,0.593121,0.597244,0.5882327,0.5773046,0.56908375,0.56325084,0.5625797,0.57245845,0.5897567,0.5997351,0.58869654,0.55865675,0.52541137,0.50399834,0.49796966,0.5050748,0.52308816,0.55050427,0.57865983,0.5953158,0.59416336,0.583208,0.5766292,0.57929945,0.5822177,0.57465404,0.56121254,0.55742097,0.5733492,0.59959555,0.620158,0.62741596,0.62796336,0.62682486,0.62130624,0.60690165,0.591132,0.58834714,0.6025675,0.6194884,0.6208636,0.60673183,0.59401137,0.59622353,0.60514903,0.60191876,0.57926404,0.5513041,0.5368174,0.5406692,0.5514126,0.5572334,0.5558843,0.5528793,0.55284405,0.55841863,0.57295734,0.59782773,0.62768316,0.64755756,0.64550096,0.6203416,0.5861383,0.55661637,0.53896004,0.5316774,0.5362382,0.55546683,0.5854929,0.6097763,0.6096092,0.58140254,0.5370357,0.49083075,0.4452792,0.39723817,0.34710655,0.30266535,0.26953065,0.24683696,0.22916798,0.21333034,0.19957323,0.18902683,0.1806217,0.17088686,0.15645789,0.13628064,0.11246901,0.0886516,0.068391725,0.05403474,0.046951566,0.047029432,0.052477896,0.059636284,0.0649708,0.06654901,0.06496516,0.061809987,0.058452517,0.055248786,0.05213292,0.049052726,0.046239093,0.044083457,0.043187816,0.04421726,0.047472436,0.052406337,0.05802067,0.06414608,0.0725711,0.085857004,0.105178796,0.12793933,0.14936417,0.16471167,0.17266662,0.17475016,0.17420386,0.17343475,0.17348462,0.1741953,0.17484969,0.17479669,0.17344713,0.17079592,0.16708691,0.1629107,0.15880455,0.15545745,0.15357198,0.15311886,0.15278284,0.1496429,0.14106312,0.12641692,0.108672135,0.09275702,0.08329932,0.08253209,0.09107622,0.10826182,0.13223855,0.15829355,0.18071145,0.19479185,0.19987202,0.19788013,0.19196768,0.18452877,0.17747484,0.17207985,0.1689864,0.16792224,0.16791378,0.16780703,0.16630456,0.1618251,0.15217888,0.1358826,0.113601476,0.0890763,0.067183755,0.051420342,0.042186428,0.03770977,0.035684705,0.03455369,0.03377786,0.03392306,0.03671239,0.043998808,0.05619493,0.0706979,0.08316303,0.08984087,0.0900897,0.085849114,0.080038786,0.074689925,0.07062468,0.06770911,0.06540629,0.063236736,0.061180618,0.05975455,0.05951926,0.060479447,0.06178317,0.062334463,0.06142878,0.059240345,0.056417882,0.053760055,0.051808354,0.05084905,0.050697576,0.05079354,0.050474662,0.04969555,0.049268574,0.050327856,0.0532537,0.057127267,0.060417186,0.06208451,0.062158044,0.06126219,0.060031544,0.059210464,0.060036708,0.06400683,0.07137152,0.08020396,0.086980574,0.08915446,0.08649838,0.08081674,0.073836006,0.066563524,0.059626285,0.054209992,0.051393393,0.051066477,0.051397603,0.050273612,0.04680391,0.04189244,0.037079383,0.033771638,0.03319717,0.036644418,0.0446165,0.05565806,0.0663907,0.07339883,0.07518938,0.072744444,0.06814349,0.06318034,0.058597695,0.054471362,0.05059439,0.046887353,0.043421596,0.040416762,0.038027883,0.03620318,0.034649476,0.033018436,0.031177944,0.029261,0.027550206,0.02617625,0.02507995,0.02404873,0.022925047,0.021642448,0.020255221,0.018870004,0.017624667,0.016619304,0.015877282,0.015321118,0.014839873,0.014366549,0.0139161395,0.013513814,0.013120062,0.012628107,0.011972814,0.011197771,0.010434013,0.009783673,0.009268356,0.008832286,0.008405126,0.007936719,0.0074230046,0.006900082,0.00641673,0.0060091554,0.0056931265,0.005483284,0.005386274,0.005386341,0.0054258346,0.0054297806,0.005344329,0.0051672957,0.004936623,0.0046927165,0.0044478686,0.0041725864,0.0038083615,0.0033065015,0.0027022837,0.002154539,0.0018838253]