[0.00025404507,0.00052246475,0.0013057841,0.0027699762,0.0049203946,0.007503383,0.010080145,0.012281477,0.01397504,0.0152613195,0.01625572,0.016981168,0.017405257,0.017627334,0.017839083,0.018190453,0.01858457,0.018796625,0.018659716,0.018274479,0.017928654,0.017898444,0.018273221,0.018940015,0.019761035,0.02071905,0.021941617,0.02349428,0.025121504,0.026805388,0.029846981,0.038096994,0.056039497,0.08534831,0.121211566,0.15427315,0.17551579,0.18184327,0.1769578,0.16833614,0.1624254,0.16095264,0.16120036,0.15913,0.15336125,0.1463045,0.1418115,0.14223701,0.14641885,0.1511044,0.15333004,0.15318984,0.15465347,0.16249414,0.17866874,0.19849367,0.21453212,0.22078644,0.2177838,0.2096559,0.2009794,0.1934533,0.18690963,0.18068944,0.17485659,0.17049067,0.1696552,0.17453791,0.18617344,0.2030849,0.22186343,0.23857518,0.25075707,0.2581871,0.26271585,0.2672025,0.27318585,0.2797753,0.28350076,0.28165534,0.27403364,0.26394525,0.25555134,0.25232124,0.25533858,0.2637329,0.27456412,0.28423932,0.2897154,0.29049596,0.28831562,0.2853651,0.28227803,0.27786997,0.27113596,0.26239318,0.25380448,0.24788983,0.2458996,0.24649896,0.24598102,0.24115892,0.23125722,0.21890569,0.20731236,0.19895859,0.19446342,0.19390519,0.19669151,0.201639,0.20671837,0.21032502,0.21198082,0.21255384,0.21254303,0.21158528,0.20863985,0.20411395,0.20004363,0.19864847,0.20006911,0.2022477,0.20315586,0.20199834,0.19932775,0.19545706,0.19102055,0.1869881,0.18487626,0.18520726,0.18717366,0.1897362,0.19297774,0.1982732,0.20605196,0.21425633,0.21905322,0.21728551,0.20938528,0.19850999,0.18983626,0.18761154,0.1947185,0.21051793,0.23037119,0.24665706,0.2525023,0.24637426,0.23259126,0.21811976,0.20733094,0.20032144,0.19504209,0.19045572,0.18758726,0.18835841,0.19319618,0.20031343,0.20528756,0.2048186,0.19861321,0.19204201,0.19172688,0.20182747,0.21920878,0.23629941,0.24565564,0.24537247,0.2385223,0.23024201,0.22417468,0.22177155,0.2222807,0.22385468,0.22423862,0.2222619,0.2179573,0.21246475,0.20693034,0.20224698,0.19883265,0.19705464,0.19731641,0.19999449,0.20487444,0.21088386,0.2163933,0.22017722,0.22220172,0.22323805,0.22417551,0.22514403,0.22658975,0.22905348,0.232943,0.23669194,0.23799288,0.23596834,0.2325384,0.23067032,0.23108537,0.23184574,0.22976738,0.22320479,0.21276997,0.20084816,0.19009618,0.18187201,0.17585725,0.17060798,0.16539176,0.16114329,0.1604075,0.16505395,0.17509145,0.18795604,0.20095806,0.21184409,0.22018038,0.22586405,0.22954792,0.23147726,0.23250215,0.23314989,0.2343383,0.23559107,0.23652707,0.23632984,0.2359047,0.23540138,0.23461692,0.23196824,0.22767039,0.22321297,0.22075479,0.22011703,0.21949963,0.21663857,0.21111779,0.20407014,0.19754821,0.19294481,0.19109817,0.19284566,0.1995163,0.21133572,0.22565079,0.23743443,0.24257927,0.24070553,0.23522627,0.23039538,0.22900933,0.23047139,0.23191506,0.2298572,0.22338186,0.2155814,0.21116339,0.21341006,0.21973185,0.22488151,0.22313578,0.21427667,0.2018218,0.1918103,0.18786676,0.19028,0.19631054,0.20336847,0.21169199,0.22668515,0.257789,0.31274673,0.38714364,0.458297,0.49533907,0.48025575,0.42543697,0.36351156,0.32427737,0.3149121,0.32587114,0.34438846,0.3628993,0.37552533,0.37545156,0.3575709,0.3231159,0.27888343,0.2336597,0.19408183,0.16412775,0.14498651,0.13619216,0.1372754,0.14950328,0.17516007,0.21358664,0.2584368,0.2997291,0.33035302,0.3502647,0.36476755,0.37841773,0.3905007,0.39500877,0.38392153,0.35192168,0.30074292,0.24167377,0.19260848,0.16983466,0.1783814,0.20988648,0.24803717,0.2796738,0.29871842,0.30553582,0.30042496,0.2836236,0.25655043,0.2244284,0.19369537,0.16846807,0.14955004,0.1354465,0.12476495,0.11597013,0.108126976,0.10067447,0.09387687,0.08782232,0.081939794,0.0753055,0.067539886,0.05946898,0.052753747,0.049302638,0.050559133,0.056685045,0.06611443,0.075565,0.08190266,0.083651535,0.08187393,0.07879057,0.076094925,0.07393939,0.071220435,0.06718083,0.062395234,0.059035674,0.0591881,0.06334298,0.06970575,0.0754498,0.07861832,0.07916423,0.07860291,0.07846812,0.07943008,0.08092714,0.081997626,0.08189309,0.08090771,0.08022889,0.081211396,0.084063314,0.087359816,0.08892804,0.08751287,0.0836414,0.07905885,0.07519626,0.072320335,0.069534965,0.06616959,0.06343763,0.06610358,0.08193386,0.11823634,0.17611367,0.2473119,0.3156897,0.36566174,0.38909099,0.3912457,0.3843497,0.38119912,0.38421115,0.3887646,0.38734102,0.37820956,0.36427417,0.34995747,0.3363538,0.31940725,0.29335067,0.25693583,0.21945149,0.19581987,0.1956401,0.21386163,0.23522007,0.24567728,0.24200372,0.23271032,0.23085535,0.24356322,0.26304516,0.27163514,0.25636315,0.22199856,0.18464328,0.15708059,0.14114402,0.13564214,0.14439411,0.17194088,0.21431072,0.25509906,0.27781674,0.27495608,0.25384274,0.22585702,0.20181936,0.18580715,0.18116887,0.18939449,0.21130587,0.24073716,0.26681948,0.2772069,0.26737157,0.24156463,0.21027893,0.18173623,0.15899009,0.14040987,0.12464244,0.112447344,0.10635421,0.10756137,0.11441922,0.12222042,0.12595241,0.12272342,0.11347819,0.101338655,0.08957314,0.07974014,0.07207778,0.06644671,0.06342911,0.06455051,0.07138138,0.08400532,0.099734165,0.11400443,0.12276081,0.124858506,0.12205321,0.11697686,0.11112598,0.10442882,0.09662012,0.08843928,0.08200005,0.07991614,0.08388523,0.09346065,0.10541993,0.11521292,0.119170554,0.1166701,0.10973335,0.10121646,0.09298596,0.085517645,0.078824826,0.07314039,0.06945231,0.06907055,0.07311394,0.08188522,0.09506804,0.113093756,0.13829766,0.1748234,0.22551347,0.28779387,0.35169065,0.40367675,0.43450868,0.44471502,0.4421278,0.43494102,0.42583373,0.41353866,0.39523616,0.36984038,0.33660933,0.2961564,0.25006634,0.20210283,0.15738261,0.121429265,0.09962461,0.0954723,0.109923445,0.13751286,0.16862817,0.19252928,0.20744278,0.22002487,0.24006335,0.26854566,0.29721165,0.31679466,0.32613155,0.33178368,0.3382292,0.342832,0.33970013,0.32860175,0.31587723,0.306056,0.29611814,0.27973244,0.257734,0.24034697,0.23764372,0.25001073,0.26652828,0.27506772,0.26823613,0.24691601,0.21712042,0.18948786,0.17406875,0.17454767,0.18516801,0.19554873,0.19943827,0.19697161,0.19177125,0.18529,0.17695712,0.16588658,0.15299957,0.14031541,0.12941672,0.12069395,0.11335373,0.10666555,0.10040772,0.09511823,0.091350846,0.08920476,0.08811045,0.08703291,0.08517677,0.08240703,0.079504736,0.07746848,0.076752625,0.07682086,0.07654357,0.07522896,0.0730941,0.07121009,0.07052159,0.07133023,0.07291303,0.07407603,0.074264444,0.07539347,0.08295832,0.10348635,0.13864826,0.17931275,0.20875363,0.21434416,0.19999285,0.18473418,0.18779232,0.213328,0.24907374,0.27898318,0.2954594,0.30116865,0.30180264,0.29922056,0.29201654,0.27849543,0.25998875,0.23890837,0.2186755,0.20226191,0.19230478,0.18844484,0.18671077,0.18150145,0.16962327,0.15260804,0.13522784,0.12221745,0.11584123,0.115300864,0.11799585,0.120835535,0.122059815,0.12183858,0.12187906,0.123704575,0.12722677,0.13185363,0.13869704,0.15248299,0.17790246,0.21428053,0.25243527,0.27956045,0.28828067,0.2809954,0.26914585,0.26411244,0.27307615,0.2924743,0.31316924,0.32342997,0.31921583,0.3040938,0.28681383,0.2721642,0.25837848,0.23980254,0.21482529,0.1885075,0.17119654,0.16934966,0.18084355,0.19378091,0.19761896,0.19252945,0.19040185,0.20171611,0.22322315,0.23990655,0.23964317,0.22481976,0.20858465,0.20221125,0.20713037,0.2172014,0.22498125,0.22533487,0.21644367,0.19968553,0.17881055,0.15759332,0.13824062,0.1213116,0.106891066,0.09514711,0.08648193,0.081319876,0.07961919,0.08034613,0.08128812,0.0802686,0.07641063,0.07111915,0.067201786,0.06708642,0.07098203,0.07648345,0.0803489,0.08139579,0.082297094,0.088892184,0.105140544,0.12962049,0.15380298,0.16862178,0.16911352,0.15798609,0.14104955,0.12375253,0.10850912,0.09590847,0.0862403,0.080444574,0.08023647,0.08680621,0.099078,0.112767674,0.1218101,0.12215843,0.11417984,0.10244432,0.09216323,0.08721221,0.08964214,0.10038698,0.12009565,0.14919017,0.1913306,0.24756116,0.3135058,0.37085867,0.40149784,0.39595702,0.36519268,0.32862708,0.30423793,0.2985951,0.30761984,0.32325134,0.33758914,0.34747997,0.34997603,0.3434776,0.3261876,0.30060896,0.27164164,0.2452845,0.22499458,0.21147908,0.20363276,0.2003188,0.20118062,0.20608918,0.21446104,0.22567816,0.2405686,0.26053098,0.28487054,0.30753443,0.31995842,0.316403,0.30033568,0.2837828,0.28117457,0.29960993,0.3330375,0.36603522,0.38335732,0.38024879,0.36270657,0.34269598,0.32895085,0.32416558,0.32496378,0.32635018,0.32395497,0.31567875,0.3024468,0.28897798,0.2827474,0.2905303,0.31461108,0.35204232,0.39291224,0.42321053,0.42703184,0.39996114,0.35051262,0.29846963,0.25731772,0.23094542,0.21404563,0.20190574,0.19211048,0.18458633,0.17995779,0.17892367,0.18176812,0.18730636,0.19356482,0.19878249,0.20255095,0.20553397,0.20872827,0.21292937,0.21820688,0.22387761,0.22870691,0.23182867,0.23333265,0.2339964,0.23478353,0.23612793,0.23796596,0.23988642,0.24196362,0.24528122,0.250855,0.25840306,0.26532927,0.26920202,0.26904085,0.2664106,0.26259026,0.2578268,0.25080904,0.24125212,0.230408,0.22108768,0.21527193,0.21335672,0.21413065,0.21709293,0.22315313,0.23510206,0.25515273,0.28500232,0.32232857,0.36039415,0.38613895,0.38901272,0.36827862,0.33706465,0.31224504,0.30373028,0.3099189,0.32290316,0.33505702,0.34197268,0.34223354,0.33644998,0.3267753,0.31603193,0.3065485,0.29908577,0.293468,0.28964445,0.28910315,0.2933772,0.30271003,0.3144329,0.32515386,0.33268288,0.3378167,0.34288526,0.34942254,0.35625276,0.3596449,0.35659492,0.34721717,0.3358747,0.3273195,0.324805,0.32743558,0.3324556,0.33450213,0.32892087,0.31244886,0.28692093,0.2579085,0.23235047,0.21451966,0.20454234,0.2000884,0.19779886,0.19513512,0.19103946,0.18841447,0.1940055,0.21523409,0.25456038,0.30812868,0.36589658,0.4146723,0.43883368,0.43028894,0.39461222,0.35287395,0.32648256,0.3251433,0.34339103,0.36890033,0.39104244,0.40402818,0.40789676,0.40681362,0.4059498,0.40657806,0.4033595,0.38910878,0.36186782,0.33063433,0.3102452,0.31135014,0.3324125,0.36129427,0.3855288,0.39954114,0.40677536,0.412075,0.41741672,0.41947886,0.41490364,0.40299883,0.38689408,0.37135497,0.3596218,0.35323134,0.34976363,0.34680727,0.34217104,0.33865008,0.3412236,0.35427716,0.37637284,0.39879546,0.4113598,0.40863422,0.39583507,0.38490137,0.38654205,0.40317798,0.42718422,0.44932783,0.46466425,0.4762342,0.48900977,0.5024325,0.50921065,0.49786034,0.46539664,0.41816592,0.37150636,0.33653757,0.31712854,0.3093299,0.30741557,0.30757043,0.30835608,0.31061253,0.31346598,0.31410906,0.30698577,0.28902462,0.26272643,0.23840076,0.23058371,0.24638748,0.27842116,0.30319083,0.3013973,0.2715783,0.23689558,0.2274118,0.25937203,0.32358292,0.3894181,0.42831275,0.42851248,0.402576,0.3725356,0.35724643,0.3626865,0.38144103,0.399691,0.4050536,0.39701322,0.38558063,0.38403448,0.39708427,0.4180276,0.43530437,0.4409198,0.4346445,0.42092428,0.40584683,0.39427963,0.3896958,0.3929238,0.40406907,0.42223755,0.44616282,0.4694887,0.48219016,0.47462818,0.44656384,0.40761343,0.3717626,0.34899926,0.34134206,0.34389725,0.3481256,0.34804794,0.34302318,0.33757696,0.33499375,0.3344622,0.3308309,0.3194771,0.30061388,0.28137302,0.27453947,0.28636286,0.31051946,0.3253924,0.31561843,0.28334126,0.25235516,0.24738769,0.27434105,0.31663063,0.34487727,0.3447244,0.31991148,0.29155037,0.2733351,0.26919594,0.27214822,0.27654484,0.28004843,0.28410864,0.29095078,0.30055293,0.30998573,0.31412685,0.3103622,0.3003575,0.28958118,0.28281093,0.281521,0.28342536,0.28489426,0.283469,0.2816359,0.28684416,0.31042024,0.3565549,0.4181634,0.47460994,0.5084658,0.51371163,0.50062525,0.48238587,0.46844077,0.4608171,0.45897117,0.46022558,0.4614531,0.45946136,0.45487082,0.45003724,0.44757318,0.44723764,0.44822887,0.45074174,0.45576644,0.46502885,0.47697273,0.48749506,0.48684224,0.46938336,0.43809915,0.41068068,0.4052092,0.4272426,0.46157026,0.4855342,0.4859676,0.46668985,0.44083235,0.41870543,0.40303507,0.39044645,0.37603363,0.357551,0.3383405,0.32644945,0.32809815,0.34116712,0.35527122,0.36066186,0.35704458,0.35218143,0.3519419,0.35206676,0.34386432,0.324675,0.30466816,0.29881835,0.3164445,0.35444692,0.39756653,0.42667285,0.42507443,0.3923634,0.34076986,0.29167637,0.25759175,0.24190532,0.23904914,0.24353708,0.25151864,0.26156768,0.2739543,0.28695378,0.296459,0.29490173,0.2787529,0.25182787,0.22805099,0.22442515,0.24917714,0.2935489,0.33235803,0.34328982,0.3217917,0.28699765,0.26617822,0.2740867,0.30389714,0.33078775,0.33586168,0.31558385,0.28575087,0.26144493,0.2499944,0.2470237,0.24690704,0.24661227,0.24912572,0.26005235,0.2846283,0.32077682,0.3596052,0.38926694,0.40583754,0.41419378,0.42275822,0.43401828,0.4432828,0.44625366,0.4426811,0.43844453,0.43753114,0.44309154,0.4522952,0.4592675,0.45355308,0.429221,0.38952398,0.34706268,0.31501076,0.2996404,0.29919538,0.3067763,0.31484854,0.31966197,0.32361856,0.33427572,0.3564513,0.38705266,0.41290867,0.42058977,0.40654978,0.38420725,0.37513563,0.39090157,0.42263114,0.4473412,0.45095924,0.4373548,0.42431724,0.42515126,0.44049487,0.45957687,0.46803626,0.4593676,0.43671322,0.4134436,0.40102932,0.4044645,0.41738555,0.4291681,0.43159315,0.42489067,0.41578054,0.40994108,0.4071205,0.4010683,0.38749203,0.36803618,0.350137,0.3393412,0.33569908,0.33511695,0.33534446,0.33787605,0.3470589,0.36629772,0.39809144,0.43854085,0.477666,0.49887276,0.49387708,0.46693584,0.4351716,0.4123744,0.40195373,0.39655805,0.38624474,0.3667325,0.34110653,0.31875566,0.30714697,0.30639443,0.3077967,0.29948547,0.2772543,0.24880241,0.23280817,0.24365543,0.2796086,0.3185346,0.33368173,0.31560245,0.28113252,0.2633483,0.2843143,0.34115484,0.40613782,0.45032278,0.46018708,0.44450578,0.421561,0.40688506,0.4054736,0.41355312,0.42301103,0.42831454,0.4294195,0.43069407,0.43359587,0.4340351,0.42548645,0.40615177,0.38060358,0.35539666,0.3362682,0.3275893,0.3322333,0.3469561,0.3614705,0.36683288,0.36431918,0.3671918,0.38419628,0.41154793,0.43152526,0.43264273,0.41437325,0.38719618,0.35838416,0.33086345,0.30497125,0.28222933,0.26560915,0.25741854,0.26046765,0.2732403,0.28928992,0.295325,0.28218782,0.25161898,0.22116637,0.2139857,0.24183257,0.2937662,0.33802757,0.34826887,0.3221768,0.2872502,0.27689072,0.30570522,0.36105844,0.41371846,0.44379663,0.44757476,0.4379604,0.42531478,0.41473874,0.40418136,0.3942299,0.3880643,0.3893318,0.39775026,0.40874803,0.4177434,0.42053676,0.4149253,0.3984578,0.37323132,0.3452861,0.32446405,0.31654632,0.32078028,0.32972988,0.33786085,0.3452171,0.35886645,0.38039505,0.40313658,0.4101138,0.392786,0.3542284,0.3115383,0.27832654,0.2609528,0.25572515,0.2568596,0.2585473,0.25863278,0.25815573,0.26140538,0.26910678,0.2771319,0.27565512,0.26021108,0.23584299,0.21849908,0.22440176,0.25506017,0.29465094,0.31433845,0.30097893,0.26276323,0.23164557,0.23143798,0.26520875,0.30922595,0.33565986,0.33173886,0.30561757,0.27534392,0.25227872,0.23970729,0.23632921,0.24364309,0.26052237,0.2831181,0.3039186,0.31990933,0.33050296,0.33579293,0.33331412,0.32284427,0.30995467,0.3040063,0.31042317,0.32611445,0.3402718,0.34362635,0.33490935,0.32428595,0.32712653,0.3521402,0.39444312,0.4345138,0.45443547,0.44585013,0.41577518,0.3746451,0.3320537,0.29304346,0.26157722,0.24008918,0.22889912,0.22609271,0.22821486,0.2311862,0.23030579,0.22131725,0.20401949,0.18617351,0.18460083,0.21445541,0.276029,0.34596217,0.3903445,0.38794887,0.34823048,0.30715537,0.29811272,0.32959017,0.37691125,0.41060302,0.41492113,0.39956602,0.38006815,0.3676889,0.36235026,0.35974097,0.3545998,0.3437699,0.32791343,0.31196928,0.30198613,0.2999746,0.30116376,0.29875186,0.2893958,0.276818,0.26737633,0.26420936,0.26486918,0.2643948,0.26432344,0.27229404,0.29839444,0.3402531,0.3841056,0.4094505,0.40768227,0.38357186,0.35174537,0.32211348,0.2975435,0.2758856,0.25615293,0.23919018,0.22648443,0.21903197,0.21704333,0.21908732,0.22135627,0.21791224,0.204042,0.1819753,0.16362625,0.1681887,0.20351018,0.25754943,0.29559457,0.29260564,0.24908404,0.19898428,0.17884026,0.20235509,0.2511526,0.2894338,0.29656684,0.27385473,0.24317336,0.21950018,0.20799856,0.2025672,0.19902425,0.19588448,0.19464207,0.1965772,0.20150411,0.2075596,0.21161048,0.2116641,0.20806055,0.20405655,0.20406945,0.21180929,0.22815973,0.25015268,0.27114254,0.2855002,0.29312512,0.30483985,0.33198467,0.37770033,0.42487466,0.45278051,0.44869578,0.42108557,0.3842461,0.34932986,0.31762266,0.28841162,0.26281342,0.24367698,0.23291516,0.22943945,0.23008035,0.2298575,0.22441874,0.21344732,0.20495959,0.2137203,0.2506486,0.31035855,0.37050426,0.40767065,0.4167862,0.41307834,0.4178175,0.4369005,0.4587752,0.46352974,0.44374874,0.40909052,0.38070917,0.37361118,0.38817766,0.4123946,0.4310731,0.43327257,0.41542485,0.3832016,0.35054734,0.33114898,0.32811555,0.33152458,0.330369,0.32551858,0.32738483,0.34266493,0.3636447,0.37646303,0.37221038,0.3542093,0.33264408,0.3196982,0.32405937,0.34414205,0.3667955,0.37232813,0.35258606,0.31435183,0.27566263,0.24807654,0.23425192,0.22935726,0.2291734,0.23115654,0.23404773,0.23723595,0.23959923,0.23963986,0.2340235,0.22009785,0.19951005,0.18152921,0.18125653,0.20571516,0.24670859,0.27783886,0.2785096,0.2462145,0.20553364,0.18711667,0.20788784,0.25791392,0.30716932,0.33105588,0.32394376,0.3019965,0.28210056,0.27228037,0.26885852,0.26609316,0.26080093,0.25341782,0.24645875,0.2421016,0.24105287,0.24113351,0.23952915,0.23434578,0.22677042,0.21932559,0.21476556,0.21497415,0.2214021,0.23375028,0.24944861,0.2662162,0.28790304,0.32222816,0.3719231,0.4236323,0.4559783,0.45366392,0.4225731,0.3832537,0.35817862,0.35594454,0.36930206,0.38396108,0.39121234,0.39375344,0.3981253,0.40677652,0.41442442,0.41408804,0.40245542,0.3840069,0.37017012,0.37384018,0.39726615,0.42738724,0.44150737,0.42968634,0.40172312,0.38297465,0.38886878,0.41589808,0.4432894,0.45222756,0.4370493,0.4050639,0.3681719,0.33469304,0.3098481,0.29460815,0.28785095,0.28611925,0.2879583,0.2931333,0.29992482,0.30373,0.30012372,0.29111585,0.28226003,0.278613,0.27772334,0.2751675,0.26826838,0.26130477,0.25860682,0.26321223,0.27429882,0.29479158,0.32317683,0.3527515,0.36520267,0.35149732,0.3154159,0.27690157,0.24986298,0.238499,0.23700319,0.24090725,0.24942355,0.2638428,0.2858667,0.314159,0.3432645,0.35976395,0.3497404,0.3108596,0.26315996,0.24047764,0.26375782,0.3222774,0.37606844,0.38979813,0.35751507,0.31006312,0.28784654,0.31118393,0.3659443,0.41533944,0.4309505,0.40760598,0.36532202,0.32808578,0.31341136,0.32264617,0.3445964,0.36082354,0.35889375,0.34119055,0.3236287,0.32173538,0.3385558,0.36262378,0.3792198,0.38038054,0.3699474,0.3581121,0.35503748,0.36349133,0.377877,0.38936603,0.39424694,0.39872313,0.41024473,0.42716548,0.4343109,0.41712713,0.3757625,0.3264071,0.28701866,0.26384878,0.25255996,0.24598871,0.24108882,0.23776902,0.23705654,0.2395214,0.2443037,0.24947523,0.25203323,0.252027,0.25326517,0.2650533,0.29545724,0.34236172,0.3878614,0.4050628,0.38053617,0.32581648,0.27525583,0.26051638,0.29039073,0.34575403,0.3934559,0.41274428,0.40347707,0.38338688,0.36707297,0.35986093,0.35786593,0.35658813,0.35462025,0.35319462,0.35463154,0.35979605,0.36693537,0.37119088,0.36566606,0.34717298,0.31960663,0.29475078,0.28196716,0.28286755,0.29004803,0.29741642,0.30553195,0.32096973,0.35003403,0.38795456,0.4202821,0.42516088,0.39481148,0.33740163,0.27747902,0.23325445,0.21140216,0.20513159,0.20582926,0.20808244,0.2114502,0.21831918,0.22982912,0.24382658,0.25374326,0.25246832,0.23820858,0.21917383,0.21229202,0.22985709,0.26802528,0.30267784,0.3084977,0.27815616,0.23133774,0.19974191,0.20267874,0.23529033,0.27190492,0.2901111,0.2827549,0.26223874,0.24416544,0.23780711,0.24149968,0.24819076,0.2516006,0.2492615,0.24338685,0.23781526,0.23535408,0.2358826,0.23661323,0.2349807,0.22990502,0.22291379,0.21573019,0.20934539,0.20344912,0.19796157,0.19584326,0.20419736,0.23275943,0.28453946,0.3490025,0.40357068,0.42996582,0.42721894,0.409626,0.39090717,0.37445137,0.35825947,0.34396544,0.33644915,0.33660686,0.3382683,0.33442667,0.32244876,0.3044475,0.28208533,0.25581557,0.2288097,0.21030737,0.21441579,0.24424486,0.28708735,0.31364003,0.3072413,0.27366075,0.24488586,0.25001028,0.29685804,0.36558414,0.4237132,0.450501,0.44438386,0.42120215,0.3951851,0.37344047,0.35387874,0.33344314,0.31218836,0.2949877,0.2899449,0.30291504,0.332811,0.36831036,0.39352927,0.39626816,0.37606856,0.34254673,0.31044248,0.29114023,0.2883269,0.29562712,0.30358806,0.3083271,0.3172224,0.3366712,0.36224642,0.3742454,0.35948965,0.3200767,0.2759824,0.24347885,0.228978,0.2271701,0.23137625,0.23649085,0.2405147,0.2432568,0.24527736,0.24675167,0.24633236,0.24170776,0.23227699,0.22245353,0.22290678,0.24158423,0.27460274,0.30155244,0.3017707,0.27123058,0.23050474,0.21005805,0.22639625,0.27079093,0.31359288,0.3305721,0.31616637,0.2867017,0.26025006,0.24634309,0.2426719,0.24397881,0.24634324,0.24859218,0.25062457,0.25300324,0.25576594,0.25848922,0.2596706,0.2585378,0.25512958,0.2510563,0.24775057,0.246502,0.24845028,0.2555014,0.27012756,0.29391256,0.32828245,0.37200305,0.41979703,0.45787898,0.4707788,0.45139465,0.41025212,0.3698833,0.349578,0.35320807,0.36793628,0.3754634,0.36511979,0.34094968,0.31845197,0.31202647,0.3260564,0.3516535,0.37541366,0.38881496,0.39402136,0.40208462,0.41809154,0.43624794,0.43564832,0.40443075,0.34677875,0.29087716,0.26641154,0.28805837,0.34423354,0.40349308,0.4392737,0.44160166,0.4239482,0.4021422,0.386386,0.3736492,0.35941625,0.34293655,0.33034137,0.32757685,0.3351252,0.34746265,0.35760525,0.36140612,0.35760403,0.34682122,0.32986864,0.3085307,0.28593287,0.26765177,0.25966915,0.26740775,0.29289857,0.33715466,0.3940296,0.45138553,0.48752227,0.48857817,0.45421854,0.40466425,0.36316028,0.3440934,0.34431317,0.35143563,0.35717043,0.36205086,0.37105846,0.38281867,0.39109328,0.3908042,0.38435718,0.37891912,0.38166586,0.3975091,0.4245535,0.4527639,0.46477553,0.45125118,0.41978136,0.3938279,0.39318848,0.41939417,0.45499322,0.4774933,0.47549415,0.45311928,0.42380098,0.3985363,0.37963513,0.36329985,0.34462592,0.3235501,0.30467537,0.29602388,0.30478993,0.33137953,0.36792788,0.3980432,0.4094124,0.39961672,0.3820648,0.37331864,0.38338113,0.4068611,0.43118775,0.447727,0.4596585,0.47589573,0.5007195,0.5266158,0.5397217,0.52849174,0.49343383,0.44442812,0.395923,0.35667217,0.32968593,0.3120164,0.30049527,0.29315594,0.29114315,0.29683125,0.30834725,0.31841943,0.3155118,0.2953777,0.26579726,0.24648933,0.25733134,0.30014184,0.35555092,0.3877424,0.3789637,0.33840752,0.30467173,0.30913112,0.35744748,0.42270628,0.46799538,0.47304285,0.44377324,0.40554845,0.38057527,0.3776348,0.38948998,0.4017422,0.40328106,0.39299014,0.38198134,0.38197717,0.39791992,0.42143866,0.44160864,0.44993463,0.44593152,0.43188897,0.4122559,0.39239204,0.3784956,0.37522367,0.38471267,0.40667284,0.4406595,0.48080814,0.51672214,0.5314431,0.5169472,0.47608414,0.4268177,0.38598016,0.36324754,0.35491753,0.35131654,0.3450798,0.33626345,0.33099523,0.33214918,0.33623138,0.33370388,0.31863394,0.29365325,0.27206084,0.270515,0.29521692,0.33381578,0.3575388,0.34526157,0.29962748,0.25007382,0.23021235,0.2528061,0.30291668,0.34692058,0.3623216,0.34597158,0.31595838,0.2885913,0.2725313,0.26543847,0.26315546,0.26250207,0.26340067,0.26831767,0.27971932,0.29627278,0.31147537,0.31739756,0.31122187,0.29689422,0.28189164,0.27073625,0.26362327,0.25758848,0.25074342,0.24494433,0.24729164,0.26839352,0.31256232,0.37191042,0.42452967,0.4522325,0.45046756,0.43391517,0.42077315,0.4240177,0.44405565,0.47375932,0.50102013,0.5157017,0.5134479,0.49934912,0.4826231,0.4713068,0.46632493,0.4655178,0.46570036,0.46781,0.47307494,0.48096648,0.48428944,0.47213554,0.43939182,0.394565,0.36093354,0.3584751,0.39025882,0.43554887,0.46861246,0.47560653,0.46290174,0.4460212,0.4353883,0.43113598,0.42556396,0.4129657,0.39370707,0.37547812,0.36726835,0.37196854,0.3844776,0.39419362,0.3959836,0.39167103,0.38766444,0.38424936,0.37640536,0.35996833,0.3393643,0.32567236,0.32854477,0.35065234,0.38448575,0.41527686,0.4257443,0.4069774,0.36505547,0.3171086,0.2798941,0.2590205,0.25155064,0.25080124,0.25283793,0.25647023,0.2637864,0.27869686,0.30074188,0.32253152,0.3294905,0.31373745,0.28107467,0.2529907,0.2521651,0.2842936,0.33273456,0.36501348,0.36290804,0.33154324,0.30095175,0.29532054,0.31867775,0.350399,0.36551583,0.35406908,0.32457802,0.29500082,0.2754043,0.2670873,0.26456133,0.2646072,0.26650998,0.27390102,0.29217044,0.32418823,0.36588076,0.4056766,0.43307433,0.44407764,0.44327295,0.43688646,0.42836663,0.41720328,0.40214908,0.38620794,0.3771967,0.38466096,0.41102505,0.44589308,0.46979073,0.4657891,0.43360078,0.38743594,0.34679928,0.32112694,0.31005013,0.30702302,0.3072512,0.30914378,0.31514665,0.3307476,0.3582888,0.39198458,0.41532588,0.41335177,0.38500276,0.3500705,0.33624637,0.35610998,0.396073,0.42499325,0.42460987,0.401419,0.38174617,0.38535473,0.41181603,0.44257617,0.45432088,0.43806413,0.40114057,0.36558798,0.34710035,0.3493553,0.35992268,0.36585376,0.361035,0.3512875,0.34665397,0.35289454,0.36704087,0.37978005,0.38526037,0.38457122,0.3837105,0.38450375,0.38384166,0.3789545,0.3741499,0.37738052,0.39425924,0.42242602,0.45737574,0.49083444,0.51496494,0.51762205,0.49519888,0.45235324,0.40469703,0.36434624,0.3367096,0.3183837,0.30319282,0.28763962,0.27337393,0.26771066,0.27385154,0.28724357,0.29366097,0.28323075,0.2581033,0.23494296,0.23353136,0.25979316,0.30112028,0.32878697,0.32463136,0.29095015,0.2559752,0.24931987,0.2827558,0.34102145,0.39182284,0.41209063,0.39800406,0.36863425,0.34591755,0.34630468,0.37107697,0.41026053,0.44735527,0.46937215,0.47343263,0.46438667,0.44839606,0.42669532,0.39963213,0.3691894,0.34189156,0.3235847,0.3173866,0.3205819,0.32631597,0.3266739,0.3201599,0.3137947,0.32264093,0.35340652,0.40132955,0.44323048,0.461612,0.44767156,0.41381922,0.37376344,0.34044936,0.31576708,0.298355,0.2855472,0.2781204,0.2797542,0.2908523,0.30521438,0.30898392,0.29292786,0.26033574,0.23009773,0.22455293,0.25187454,0.29856732,0.33420613,0.33774924,0.31087545,0.28072235,0.2770523,0.31187615,0.37228075,0.4281895,0.45752013,0.45520568,0.43785045,0.42266548,0.41992941,0.4260086,0.43363515,0.43634358,0.4325427,0.42484093,0.41749743,0.41466853,0.41497323,0.41324505,0.40223458,0.38115874,0.3559749,0.337261,0.3309799,0.33570108,0.34356037,0.3501136,0.35653612,0.37028146,0.39130032,0.4112821,0.41284338,0.38893387,0.34580505,0.30312693,0.27563918,0.26712343,0.27019158,0.27546963,0.27789566,0.27804425,0.2812239,0.29110876,0.30632618,0.317772,0.3158178,0.29804412,0.27486238,0.26496372,0.28006586,0.3147986,0.3447608,0.3477796,0.31977674,0.28207996,0.26452434,0.28172424,0.3237078,0.3600926,0.36982355,0.34972036,0.3186388,0.29282594,0.28173792,0.28402787,0.29820022,0.31963328,0.34244046,0.35911843,0.36802545,0.37095687,0.3704159,0.36464623,0.3531275,0.33976594,0.33332708,0.33827388,0.35172108,0.36330962,0.36653933,0.360134,0.35042933,0.34210658,0.34040204,0.34689108,0.3624562,0.38141242,0.39494708,0.3924543,0.36829296,0.32310167,0.26476547,0.2050776,0.15503621,0.12056908,0.101668,0.095057815,0.09662584,0.10249826,0.108938426,0.1132527,0.11447311,0.11336305,0.11114534,0.10893936,0.107845165,0.10937176,0.11552865,0.12960243,0.15717526,0.20454495,0.2720362,0.34679034,0.40367922,0.41899678,0.3879675,0.33125666,0.28299394,0.26817322,0.28873205,0.32643607,0.3602586,0.3781874,0.3804554,0.37176037,0.35775766,0.34221718,0.32856014,0.3181897,0.31064606,0.30366528,0.2951895,0.2845999,0.2729607,0.26172492,0.251498,0.24127658,0.22961707,0.21559246,0.20008671,0.18508321,0.17237635,0.16193748,0.15166457,0.13977239,0.12617448,0.11323459,0.10305794,0.09678485,0.0940224,0.09412531,0.09621184,0.09916415,0.10175385,0.1029736,0.10251588,0.10048961,0.097262554,0.09311646,0.08843303,0.08374453,0.079924695,0.07808024,0.07940657,0.08447954,0.0925893,0.10141062,0.10809604,0.110764116,0.10956285,0.106040455,0.101884596,0.097930245,0.09423975,0.090687126,0.08757201,0.08582754,0.08677181,0.09193069,0.10375273,0.12654342,0.16547729,0.22152436,0.2877549,0.34923205,0.39208472,0.4086642,0.401199,0.37511376,0.3387021,0.30173513,0.27748165,0.27572158,0.2958077,0.32465076,0.3448112,0.3448089,0.3250428,0.29590198,0.2711785,0.25787076,0.2514817,0.23930047,0.21296187,0.17539166,0.13845441,0.112004004,0.09805585,0.091970615,0.08842236,0.08479423,0.08109425,0.07815957,0.07631418,0.07595608,0.080046065,0.096230954,0.13474227,0.19894536,0.277904,0.3463873,0.38093898,0.37312976,0.3383921,0.30338928,0.29177287,0.30567083,0.32760486,0.33231914,0.3088648,0.268095,0.23661728,0.2368219,0.27313328,0.32732192,0.37310913,0.39151987,0.38341177,0.36197773,0.3420497,0.3297985,0.3244163,0.32222462,0.32009694,0.3160487,0.30845693,0.29673102,0.28127167,0.2646587,0.24966802,0.23765273,0.22618121,0.21171157,0.19252504,0.17050475,0.1490421,0.1303785,0.11542738,0.10408548,0.09617511,0.09073786,0.08655828,0.082765356,0.0799312,0.07997728,0.08480675,0.094037086,0.10428685,0.11065712,0.110372454,0.104164235,0.0955278,0.08738822,0.080902524,0.07538258,0.07013833,0.06535853,0.06262166,0.06426414,0.071401305,0.08259109,0.093244284,0.09908547,0.09835512,0.093491994,0.08810129,0.084779106,0.083323926,0.08189935,0.07899473,0.07516626,0.07346746,0.07814535,0.09185166,0.11419126,0.13970909,0.16299175,0.18109252,0.20039101,0.22725482,0.2624446,0.29119256,0.29763517,0.2769043,0.2467714,0.2320443,0.24781205,0.28713405,0.33083427,0.36055925,0.36773264,0.35260233,0.321093,0.28218877,0.24444394,0.21289034,0.18927048,0.17571694,0.17705095,0.19717376,0.23372436,0.27700934,0.31500313,0.33985627,0.349924,0.3492132,0.34377983,0.33973682,0.3394638,0.34188354,0.34282902,0.3386909,0.3270847,0.30828765,0.28444457,0.25936624,0.23704155,0.22092791,0.2145539,0.22059906,0.23915124,0.26442662,0.28746605,0.3013126,0.30596814,0.3064163,0.3074595,0.31017473,0.31238127,0.31121886,0.3056204,0.29686478,0.28740358,0.27731782,0.26401013,0.2446841,0.22116452,0.19854043,0.18130952,0.16898572,0.15880494,0.14835072,0.13802488,0.12873468,0.12139986,0.116085835,0.11288401,0.11216741,0.11561627,0.12628087,0.14713502,0.17830144,0.21686392,0.25655138,0.2896144,0.30648768,0.30140436,0.27689376,0.24559991,0.2234201,0.21972446,0.23373969,0.25630137,0.27785763,0.29253864,0.30095416,0.30697718,0.31491247,0.3259952,0.3387648,0.3501595,0.3569579,0.3561407,0.34454927,0.32140577,0.28931263,0.25657701,0.23233558,0.22332136,0.22816919,0.24022694,0.2504146,0.25353706,0.24912864,0.2410975,0.2332558,0.22662294,0.21855222,0.20641266,0.19075285,0.17633094,0.1676041,0.16522928,0.16444455,0.16002095,0.14953966,0.13516079,0.12020177,0.107233405,0.09723765,0.09025458,0.08554099,0.08138666,0.07691632,0.07447171,0.08144146,0.1072076,0.15554349,0.21879329,0.27922916,0.32075474,0.33785272,0.33774832,0.331261,0.32586065,0.32256,0.31961986,0.3154931,0.3105743,0.30616364,0.30339682,0.30226603,0.30194578,0.30146763,0.30036545,0.29865575,0.29641208,0.29362085,0.2904936,0.28754234,0.2855187,0.28470722,0.28509274,0.28605393,0.28677103,0.28606105,0.28324986,0.2782047,0.27128446,0.26215854,0.2500465,0.23394245,0.21390028,0.19066678,0.16619287,0.1428422,0.12336815,0.10922372,0.100270666,0.09469315,0.09071197,0.08733711,0.084775634,0.08338203,0.08306555,0.082936384,0.082082875,0.080133535,0.07750224,0.07478111,0.07229059,0.069992065,0.06785575,0.066017605,0.06496661,0.06557364,0.06937986,0.07731676,0.088545926,0.099324204,0.105478436,0.10482198,0.09895605,0.091146715,0.08401784,0.07813838,0.07290359,0.06797339,0.06432205,0.064383484,0.07074548,0.08366597,0.099426694,0.11141073,0.11438564,0.10758271,0.095211685,0.08369806,0.07970097,0.08794867,0.10981939,0.14466465,0.19290413,0.25882757,0.34098053,0.4267114,0.4912162,0.5193816,0.51358265,0.4940356,0.47732767,0.47026816,0.46875343,0.46736774,0.46199998,0.4512961,0.4361557,0.418432,0.39949596,0.37846613,0.35479316,0.33001205,0.3088353,0.29506502,0.28885916,0.28630757,0.28276744,0.2762104,0.26854113,0.26526937,0.27302298,0.29505444,0.326498,0.35439977,0.36568022,0.35743904,0.34020904,0.3292173,0.33231917,0.34458354,0.355196,0.357113,0.35262766,0.3501035,0.3566918,0.37282017,0.3903369,0.3987279,0.39140037,0.37108433,0.34563497,0.322275,0.30346796,0.2886516,0.2790923,0.2793112,0.29633114,0.33013368,0.36960432,0.39313653,0.38647208,0.3527428,0.3113941,0.27983543,0.26283175,0.2547392,0.24943006,0.24563538,0.24472564,0.24792989,0.25469077,0.26303616,0.27021357,0.27424505,0.27526537,0.27529648,0.27650383,0.2798185,0.28460658,0.28946912,0.29266772,0.29307488,0.29048923,0.2858595,0.28050077,0.27555922,0.2718428,0.26970112,0.26914892,0.26999068,0.2726467,0.2780085,0.28662705,0.29748735,0.30853954,0.31767404,0.32394072,0.32668445,0.32594725,0.3217558,0.3152678,0.30770138,0.30191234,0.30210888,0.31293526,0.33399376,0.3577784,0.37387753,0.38013336,0.38617945,0.40701893,0.4444811,0.48379993,0.49912587,0.47888616,0.42912897,0.37203017,0.3234142,0.29027173,0.269105,0.25642976,0.24951117,0.24781163,0.25094405,0.2574749,0.26454636,0.26819924,0.2668253,0.26217306,0.25996378,0.2666719,0.28613746,0.31607386,0.34742558,0.3690866,0.37453815,0.36663342,0.35530367,0.34954846,0.3508098,0.35139552,0.34293678,0.32364616,0.30206856,0.28859028,0.28808156,0.29672682,0.30883726,0.3220329,0.33669886,0.35131344,0.36062086,0.35924235,0.3456839,0.32304347,0.29682454,0.27209067,0.25301555,0.24250047,0.24127734,0.24623013,0.2523578,0.25921044,0.27453625,0.30702153,0.35238662,0.39002654,0.3975371,0.3710381,0.32692385,0.28774357,0.26412722,0.25451875,0.25167906,0.25124267,0.2516822,0.25341442,0.25725567,0.26330844,0.27062204,0.27729473,0.2830356,0.2891366,0.2971419,0.30597195,0.3125776,0.31468344,0.3125617,0.30813888,0.30244818,0.295573,0.28730014,0.2784753,0.27028063,0.2641907,0.26125377,0.26212168,0.26628038,0.27230355,0.27844536,0.28361878,0.28775382,0.2913767,0.29509452,0.29898497,0.30278835,0.30604467,0.3083677,0.3092945,0.30794656,0.30343223,0.2953486,0.2856177,0.27887142,0.281662,0.30031613,0.3370448,0.38940153,0.44439158,0.48514405,0.49323383,0.46785688,0.42070246,0.37441254,0.34125087,0.32515475,0.32080612,0.3231313,0.32612488,0.32512745,0.3182138,0.30707493,0.29499805,0.28327784,0.27202424,0.2611139,0.25179616,0.24479151,0.24072714,0.24018711,0.24479146,0.255138,0.27001747,0.28652692,0.30314496,0.3202208,0.33897117,0.35839924,0.3749692,0.38330856,0.37929133,0.3628173,0.33987918,0.32027352,0.31116825,0.31238863,0.3160317,0.3142577,0.30337942,0.28646806,0.26708958,0.2480833,0.22969823,0.21335034,0.20078857,0.19354369,0.19073994,0.18990014,0.19125736,0.20124863,0.23368979,0.29670867,0.3827144,0.4626069,0.5078864,0.5081785,0.48146296,0.45415497,0.4433794,0.44746414,0.45574066,0.46030703,0.46126708,0.46288264,0.46750784,0.4733242,0.47682118,0.4748076,0.4663805,0.4524227,0.43841946,0.43070936,0.43329966,0.43876615,0.43447065,0.41137847,0.37796414,0.35384715,0.35518762,0.3802133,0.41192397,0.43294144,0.43673804,0.4290298,0.42026457,0.4178823,0.4229429,0.4281638,0.42468274,0.40816155,0.38674018,0.37414297,0.3789973,0.39551005,0.4103364,0.4150726,0.4130576,0.4127605,0.41743675,0.4231505,0.42378268,0.42040324,0.4189532,0.42741764,0.44571006,0.46870115,0.4876338,0.49740314,0.4970043,0.48984182,0.48307547,0.4828502,0.4917306,0.5036461,0.5101667,0.50479573,0.4909507,0.47854853,0.4784231,0.4935353,0.5163941,0.5340722,0.5364721,0.5237153,0.50638527,0.4978474,0.5065119,0.5290621,0.55735755,0.5827839,0.6023157,0.6124253,0.6064997,0.57649326,0.52030236,0.44834557,0.37749353,0.32314467,0.28941962,0.27254927,0.26501277,0.26145056,0.2599927,0.26212683,0.27227396,0.2904786,0.31084466,0.31953272,0.3095477,0.28638074,0.2714208,0.28372547,0.32332912,0.36667284,0.3816091,0.35835382,0.3157698,0.29409307,0.3172033,0.38103876,0.45110512,0.49360284,0.49297917,0.46128651,0.4240078,0.40303966,0.406359,0.42432722,0.44107255,0.44393805,0.43654576,0.43215021,0.44422662,0.4725845,0.5064563,0.53100806,0.53809375,0.5263574,0.5015152,0.47130814,0.44513008,0.42954528,0.42906737,0.44406593,0.47391996,0.5118003,0.54710054,0.56343514,0.5532933,0.5189473,0.47600198,0.43773508,0.41119194,0.39350495,0.37965414,0.36758795,0.36012688,0.36306027,0.376943,0.39448416,0.39988878,0.38157603,0.3412747,0.29907608,0.28181255,0.30087116,0.34164038,0.3674387,0.35456514,0.30788913,0.2641515,0.2572405,0.29529187,0.3537446,0.39623132,0.4036709,0.3815819,0.35277203,0.3330277,0.32663092,0.3276862,0.331179,0.33515105,0.34068203,0.35014725,0.3623064,0.3722813,0.37113288,0.35627398,0.33156362,0.30763003,0.29065335,0.28226113,0.27877107,0.27782914,0.280522,0.29430315,0.33046398,0.3942809,0.47685114,0.55399585,0.60383636,0.6191776,0.613359,0.6044657,0.6050963,0.61389184,0.623467,0.62573594,0.6188448,0.6054997,0.58958864,0.5735888,0.5564475,0.53686136,0.51417553,0.49373332,0.48659137,0.5024907,0.5388283,0.57367676,0.58000517,0.546582,0.4919568,0.4538425,0.45740286,0.49893746,0.5451248,0.5678802,0.5582177,0.53299356,0.51003027,0.49855706,0.49398088,0.48786235,0.4751042,0.4575807,0.4428183,0.4360979,0.43595257,0.4336685,0.42293313,0.40461323,0.38596323,0.37145495,0.36067346,0.3514533,0.34539938,0.34701145,0.36019218,0.38584113,0.4209822,0.45555505,0.47497383,0.4657639,0.4301041,0.38214692,0.34157073,0.31586304,0.30374125,0.29783142,0.2946331,0.29306152,0.2950163,0.3024952,0.31364563,0.3207451,0.3115106,0.28171432,0.24102135,0.2131298,0.21752806,0.25395545,0.29826382,0.3183591,0.3021457,0.2658035,0.24615271,0.26399657,0.3134692,0.36066237,0.38064027,0.36758587,0.34011626,0.31494,0.30024838,0.29250392,0.28746143,0.28469864,0.28872296,0.30688584,0.34157336,0.38697836,0.4287083,0.4551468,0.46312666,0.4592675,0.45192084,0.44737497,0.44893503,0.4574708,0.47076178,0.48529923,0.49920177,0.5160349,0.53431654,0.5471658,0.5382331,0.5045854,0.45400968,0.40725282,0.37397242,0.3551234,0.3425373,0.33247772,0.32610586,0.32959172,0.34887218,0.3841702,0.42713073,0.4611567,0.47155908,0.4559138,0.43120232,0.42270172,0.44213882,0.47567567,0.49518597,0.4889766,0.47147694,0.4710687,0.49938217,0.542898,0.57201415,0.5655892,0.52471393,0.4718735,0.43491578,0.42880455,0.44814146,0.47371742,0.48829493,0.48701966,0.47738397,0.4684658,0.46310058,0.4560115,0.44263306,0.42411697,0.40778378,0.39807323,0.39296177,0.3873403,0.38105848,0.3803008,0.39253238,0.4206705,0.46339312,0.51247215,0.55535287,0.5745015,0.563339,0.52839607,0.49092984,0.46684316,0.46020862,0.46066833,0.45622978,0.44235006,0.42422476,0.4118743,0.40893364,0.4098934,0.40016472,0.36915946,0.3191581,0.27084374,0.25256073,0.27669907,0.32742023,0.3633876,0.35747337,0.31477445,0.2782884,0.28532684,0.34451,0.42479673,0.48713216,0.50927705,0.4977368,0.4745412,0.4580431,0.45532322,0.46284536,0.47679782,0.4946405,0.5158329,0.53532535,0.5446246,0.5346462,0.504136,0.46054375,0.41796216,0.38837382,0.3785344,0.38619605,0.4030048,0.4159802,0.41789034,0.41162995,0.41346708,0.43512723,0.4758154,0.5142506,0.5321331,0.52139,0.49271646,0.4568436,0.42151204,0.38769922,0.3573388,0.33351386,0.32010952,0.32011342,0.33122084,0.3443227,0.3433005,0.31698513,0.2693109,0.22366472,0.2106101,0.2419508,0.29968023,0.33973172,0.33451393,0.2913451,0.25751573,0.2735317,0.34732366,0.4440514,0.52068037,0.55350024,0.5492478,0.52906185,0.51004845,0.4983164,0.4919463,0.48751417,0.48250487,0.47742376,0.4747305,0.47647688,0.47989738,0.47688746,0.45941994,0.42756692,0.39282343,0.37083426,0.36975646,0.38379347,0.39874482,0.40590516,0.4082489,0.41819492,0.43759564,0.45512736,0.44706106,0.40708065,0.34656903,0.29345027,0.262545,0.25449416,0.25670668,0.2597213,0.2603921,0.2622113,0.2710344,0.2876854,0.30562901,0.3105367,0.29334113,0.2583907,0.22667576,0.22306465,0.25491694,0.30539772,0.33794475,0.3323343,0.2953135,0.26406938,0.26635274,0.3036743,0.34571227,0.3615217,0.3419133,0.303115,0.26860577,0.25039592,0.248266,0.2568502,0.27168027,0.28865123,0.30310908,0.3140647,0.32235944,0.32946348,0.33203813,0.32899642,0.32356963,0.32596073,0.3423873,0.37166107,0.4025844,0.42479038,0.43307543,0.4317522,0.42663208,0.42283764,0.4195321,0.41410768,0.40072235,0.37586012,0.3378117,0.28944656,0.23525889,0.18119846,0.1335638,0.097547494,0.075703055,0.06697271,0.0688341,0.07801732,0.09084902,0.10266056,0.110677026,0.116904676,0.12953688,0.15701592,0.20072377,0.24996978,0.28707495,0.29914653,0.28753975,0.26968285,0.2652735,0.28449747,0.3172187,0.34368202,0.34489098,0.3191942,0.28003958,0.24870932,0.23667818,0.24093895,0.24998896,0.25643227,0.25948885,0.25821936,0.24801068,0.22546752,0.19505239,0.16651924,0.14686781,0.13711965,0.13613808,0.14480351,0.16308592,0.18540661,0.20219244,0.20723648,0.20290446,0.19546159,0.18787068,0.17682932,0.15893328,0.13588037,0.11449555,0.10046329,0.094572894,0.093301885,0.092704445,0.09107954,0.08953347,0.09115078,0.09865811,0.11232134,0.12846847,0.14169984,0.14769481,0.14593875,0.13870363,0.12938675,0.12042818,0.113175064,0.10785398,0.10397533,0.10033819,0.09563031,0.089066826,0.0810085,0.07272503,0.06577463,0.06129382,0.059646383,0.060277414,0.061843585,0.062764496,0.062114935,0.060391333,0.05952509,0.06189068,0.06853419,0.07804874,0.086943656,0.09267252,0.09629098,0.103660755,0.1215205,0.1527403,0.192213,0.2287937,0.2515336,0.25753525,0.25534812,0.25940895,0.27943897,0.31236386,0.34431815,0.35952428,0.34996486,0.31901613,0.27912477,0.24271236,0.21526264,0.1933166,0.17221911,0.15171243,0.13647665,0.12986599,0.13040501,0.13304086,0.13325098,0.12955621,0.122904204,0.11518521,0.10823843,0.10419812,0.106040835,0.11785247,0.14377968,0.18570687,0.23935826,0.29478934,0.33923233,0.36602652,0.3749628,0.3720237,0.36189315,0.3489147,0.33796778,0.3331077,0.3338335,0.32885018,0.30840543,0.27211425,0.23825158,0.2236153,0.23151343,0.24449809,0.24565117,0.23139639,0.21527298,0.21089447,0.2212395,0.23591562,0.24205029,0.23240586,0.20947792,0.18081266,0.15406175,0.13289489,0.117771246,0.107661724,0.10203945,0.10037563,0.10177017,0.10416614,0.10560596,0.10482565,0.1020461,0.098159604,0.094097905,0.09034326,0.08684262,0.08354335,0.080768794,0.08007572,0.08312068,0.09040319,0.09959867,0.10733024,0.1114283,0.112991124,0.11492807,0.11939832,0.12586412,0.13146217,0.1333576,0.13059974,0.12484365,0.118661545,0.113947995,0.11077792,0.10819098,0.10541377,0.1028015,0.10176144,0.10326197,0.106868215,0.11011129,0.110448845,0.10684258,0.10128334,0.09759191,0.099386714,0.10822911,0.122961305,0.14166446,0.16286437,0.1880282,0.2192445,0.25809193,0.30091307,0.34076667,0.36854604,0.37859884,0.37015843,0.34921327,0.3268557,0.31418207,0.31670952,0.33063635,0.34819385,0.36202285,0.3689336,0.36510774,0.34734836,0.31485376,0.27703124,0.24830323,0.23961306,0.246388,0.25391468,0.25046614,0.23953433,0.2350018,0.2475574,0.27568555,0.30938742,0.3392379,0.36141813,0.37619153,0.38472453,0.3873897,0.3841927,0.3754306,0.36330113,0.35089394,0.340085,0.32682157,0.30273142,0.26190135,0.20960666,0.16302256,0.13967444,0.14446856,0.16385691,0.17701823,0.1706566,0.14734192,0.11942432,0.09805628,0.08729554,0.08543479,0.08958105,0.098036826,0.1111991,0.1299273,0.1543228,0.18155134,0.2083298,0.23178601,0.25147915,0.26491287,0.26860183,0.26048097,0.24753702,0.24294865,0.25778618,0.28939256,0.3236804,0.34323883,0.34071687,0.31810513,0.28562552,0.25259823,0.22877848,0.22048402,0.23054564,0.25497022,0.28457907,0.310999,0.32964626,0.34097186,0.346297,0.3461257,0.34196866,0.33634317,0.33461955,0.33785927,0.3433179,0.3426938,0.32977852,0.30239677,0.26398996,0.22150648,0.18333752,0.15752113,0.14774632,0.15151487,0.16061287,0.16625626,0.16321413,0.15096183,0.1317783,0.10941058,0.08846071,0.07318011,0.065250464,0.06289665,0.06283709,0.063123025,0.06456305,0.06888131,0.07651154,0.08518318,0.09189397,0.09493035,0.09533111,0.09524071,0.09678293,0.10104707,0.10884384,0.11998129,0.13410671,0.15110368,0.17124383,0.19245236,0.20869274,0.21412285,0.20769589,0.1960129,0.18709278,0.18668823,0.19343908,0.20173812,0.20454328,0.20001249,0.19234008,0.18860726,0.19232185,0.20007282,0.20332836,0.19449781,0.17510307,0.1566832,0.15474676,0.17463063,0.20728564,0.23255284,0.23602962,0.21762042,0.19324656,0.17938292,0.18200453,0.19306548,0.20289214,0.20830972,0.21262784,0.21636015,0.21629477,0.20994298,0.20155461,0.19707017,0.1979269,0.1978869,0.18917911,0.16907044,0.14170198,0.1152401,0.09695033,0.09218515,0.10224023,0.12374399,0.14750816,0.16326116,0.16654624,0.16273743,0.16433895,0.18015999,0.20904534,0.23807044,0.2544129,0.25380176,0.24575366,0.24492157,0.25938404,0.28415182,0.3039182,0.3083141,0.29890338,0.29058996,0.29537722,0.3146427,0.33615246,0.34846625,0.34963718,0.35140893,0.36708197,0.40149137,0.44457975,0.4802474,0.4961717,0.49238387,0.47824708,0.46609914,0.46231282,0.46591243,0.47227547,0.4810275,0.49539575,0.51651293,0.535412,0.53805965,0.5138436,0.46641883,0.40979612,0.361241,0.32939932,0.3135562,0.30648097,0.30177215,0.2960759,0.2890462,0.2811381,0.27267334,0.26360336,0.2540858,0.24466605,0.23612243,0.22884019,0.22260599,0.21669596,0.21041507,0.2033081,0.19606061,0.19224024,0.19997634,0.22914869,0.28261438,0.34861505,0.40337634,0.42712483,0.41783687,0.39354706,0.37635776,0.37800586,0.39166653,0.40246654,0.3997316,0.38734102,0.3792248,0.38768134,0.4141531,0.4479612,0.47573456,0.4873431,0.4797331,0.45454463,0.41801986,0.38143933,0.35812077,0.35794327,0.37956062,0.411248,0.4375234,0.44956192,0.44785714,0.43737295,0.4210287,0.39963663,0.3765795,0.35807464,0.34691027,0.33622456,0.3141158,0.2740647,0.22220017,0.1720361,0.13510692,0.11398596,0.10403057,0.09781176,0.09001609,0.078689486,0.06502083,0.05134468,0.03980549,0.031325385,0.026821941,0.028400714,0.040429622,0.064985104,0.098581515,0.1299703,0.14850546,0.14959414,0.13820654,0.12173173,0.10555518,0.09049705,0.07592405,0.0625982,0.054027215,0.055801738,0.0708906,0.09651206,0.12261233,0.13881472,0.13976495,0.12883343,0.112748064,0.09741043,0.084608234,0.07466859,0.06955253,0.07653531,0.107192755,0.17114384,0.26552808,0.37276277,0.46786693,0.5352001,0.57176787,0.58524734,0.58224344,0.5705675,0.5568154,0.54781175,0.5441673,0.54311055,0.5414872,0.53850895,0.53322524,0.52236295,0.50449944,0.48153853,0.46074036,0.44630897,0.439528,0.43457642,0.42605403,0.40908232,0.38650286,0.36617288,0.35871327,0.3676735,0.3877581,0.40754497,0.41974506,0.42406654,0.4261773,0.42817548,0.42589143,0.4100864,0.3775185,0.33580574,0.30080235,0.28321663,0.2811873,0.28421012,0.28689727,0.29359618,0.30937347,0.3263481,0.32760283,0.30417934,0.268941,0.2456851,0.24832924,0.26816675,0.28441575,0.28138834,0.2579889,0.22264534,0.18481804,0.15028279,0.12183901,0.100361675,0.08533102,0.07471999,0.06609353,0.057786714,0.04968303,0.04264911,0.037392627,0.033740547,0.030913921,0.028270232,0.025640482,0.023164613,0.020942762,0.018963663,0.017154237,0.015731908,0.016134584,0.021727601,0.037255336,0.0647128,0.100136586,0.1329787,0.1529788,0.15552463,0.14441212,0.1267272,0.10883889,0.09347254,0.081411935,0.074107945,0.076406695,0.09644263,0.14008783,0.20480816,0.27721763,0.34069863,0.3846589,0.40973678,0.4235407,0.43342128,0.4426243,0.45108995,0.4586734,0.46511814,0.46814132,0.46194384,0.43910265,0.39590955,0.33562127,0.26882982,0.2076434,0.16039003,0.12800257,0.10656353,0.09142369,0.08236884,0.08540713,0.11141101,0.16727357,0.24647705,0.32534656,0.37569228,0.3839674,0.36199877,0.3352883,0.3218411,0.32151926,0.32795557,0.3408474,0.36694553,0.40417922,0.44025183,0.45860767,0.45295537,0.42423832,0.38018307,0.33196533,0.29740465,0.29087937,0.31455863,0.35421658,0.39139628,0.41414115,0.42089388,0.41469422,0.39745966,0.37050223,0.33700302,0.30605876,0.28582796,0.2780563,0.27379543,0.26521578,0.25329414,0.24927528,0.26190802,0.29047745,0.3250719,0.35465017,0.37197435,0.37386784,0.36079836,0.3362215,0.30863497,0.2868297,0.27550375,0.26908115,0.25728315,0.2321363,0.19537492,0.15499131,0.11952425,0.09278009,0.07448321,0.062145647,0.053295437,0.045966092,0.039390925,0.03357137,0.029039638,0.026178248,0.02680663,0.035866346,0.06205519,0.11147133,0.18013251,0.25059602,0.30085883,0.31880152,0.30998388,0.29612646,0.29894897,0.33032623,0.38183585,0.4362103,0.47469088,0.48969397,0.47980678,0.44794607,0.39924636,0.3433331,0.29339895,0.26012036,0.2503258,0.2646562,0.29719844,0.3324441,0.35169932,0.34587988,0.3236718,0.30598408,0.30808446,0.3290466,0.3517281,0.35667053,0.33270553,0.28326228,0.22127067,0.16225345,0.116207324,0.08569064,0.06703441,0.05510363,0.04603508,0.038602035,0.03283372,0.02901855,0.026749266,0.02535128,0.024227781,0.023205077,0.022243245,0.021430722,0.022201994,0.029408311,0.05244717,0.10073346,0.17568254,0.2643498,0.3440528,0.39540553,0.4136236,0.4098804,0.4001715,0.3955492,0.3953199,0.39287615,0.3813409,0.36119008,0.34002492,0.3281548,0.33134353,0.3436781,0.35164607,0.34174743,0.31471822,0.28351995,0.266103,0.26862302,0.28507403,0.30278802,0.3154091,0.32392463,0.33207425,0.3399715,0.34277633,0.33640334,0.32015157,0.3004862,0.2850224,0.28055602,0.28555265,0.2931112,0.2928863,0.28075778,0.26206344,0.24899547,0.25120077,0.26572254,0.28095064,0.28449082,0.27688563,0.2674099,0.2677801,0.27860856,0.29232278,0.29836595,0.29501292,0.2895064,0.29250407,0.3087221,0.33153865,0.35053456,0.3577342,0.35747144,0.35811877,0.3673583,0.3821394,0.3942286,0.39709106,0.39268085,0.39066175,0.39833835,0.41701594,0.43827355,0.4531076,0.4548165,0.44527045,0.43151578,0.42209658,0.4211903,0.42765555,0.44000697,0.45906007,0.48698997,0.5185042,0.54144835,0.5417452,0.5176125,0.4791366,0.44315764,0.41954485,0.40953982,0.40761283,0.4077611,0.4061041,0.40290162,0.40301773,0.41250548,0.43186143,0.45130643,0.45423007,0.43227923,0.39544013,0.3732575,0.3873254,0.435856,0.48544016,0.5076935,0.4964737,0.47858897,0.47997758,0.50902504,0.5480605,0.5751272,0.5799374,0.56975025,0.5591908,0.555968,0.55624336,0.5483358,0.5255087,0.49193168,0.46219394,0.4499843,0.4588939,0.48042497,0.5003939,0.5085773,0.5012744,0.4816972,0.4550902,0.4286492,0.408854,0.401021,0.4078014,0.4281412,0.45899525,0.49164668,0.51653594,0.52253366,0.5098978,0.48664486,0.46895218,0.46540496,0.47568882,0.48892227,0.49367356,0.48417148,0.46492052,0.44746625,0.44069144,0.44360396,0.44405386,0.432019,0.4088926,0.39276394,0.40052858,0.4345272,0.47397837,0.49534753,0.49064097,0.47603485,0.4758997,0.50051475,0.5397759,0.569498,0.5753751,0.5577316,0.5323203,0.51148975,0.5003267,0.49468175,0.48959064,0.48263645,0.47490346,0.4704486,0.4709641,0.47482464,0.47449055,0.4653193,0.44785413,0.43088844,0.4220921,0.42387512,0.43121433,0.43760738,0.44160178,0.44847402,0.46845365,0.5052089,0.5519363,0.5899829,0.60532635,0.59558827,0.573596,0.55299234,0.54283905,0.5433802,0.55290365,0.5676822,0.5850556,0.6015165,0.6143871,0.6205616,0.6174188,0.6044238,0.5853524,0.567846,0.5608814,0.5654013,0.5732559,0.5659891,0.5353194,0.4881033,0.45227638,0.44903573,0.48182574,0.5267988,0.5583384,0.56272626,0.5475278,0.5263319,0.5087557,0.4956697,0.48387584,0.4715182,0.45968997,0.45303908,0.45547,0.46636105,0.47945848,0.48762286,0.48933718,0.48696974,0.4824241,0.47276032,0.4565271,0.4373053,0.42509302,0.42852315,0.45169055,0.4887592,0.5262504,0.54540366,0.5353551,0.4991697,0.4534814,0.41476068,0.39048877,0.37769243,0.36970523,0.36243048,0.35704812,0.3593929,0.3741549,0.39935613,0.42370573,0.4338604,0.4251027,0.40633294,0.39598957,0.4053203,0.4318309,0.45668343,0.4646866,0.45316198,0.4377967,0.437022,0.45752573,0.48953435,0.51301086,0.51722234,0.50329363,0.4841679,0.4685725,0.46013543,0.45666155,0.45648786,0.4594519,0.46680602,0.48068115,0.5002429,0.5211572,0.535209,0.53720117,0.5271346,0.5111253,0.49550033,0.4846802,0.47999284,0.48083588,0.48641014,0.49570227,0.5106463,0.5279835,0.540973,0.535166,0.5080413,0.4667697,0.43058586,0.408507,0.40044844,0.39710152,0.39341292,0.39021635,0.39363,0.40952766,0.435822,0.4610219,0.46660674,0.44335917,0.3996264,0.36306927,0.35846838,0.3897551,0.4335582,0.46160933,0.46412897,0.4563342,0.46123096,0.48616108,0.51878303,0.5353462,0.5242575,0.49059734,0.45589694,0.43637943,0.43687832,0.44741657,0.4574724,0.46143606,0.46204987,0.4646205,0.4712448,0.47853363,0.47915706,0.4706769,0.45658588,0.44465888,0.4373288,0.43271372,0.42824605,0.4266062,0.4330411,0.45069036,0.47794247,0.5078179,0.5308314,0.53679186,0.5227218,0.49450123,0.46698415,0.45325944,0.45830587,0.4745393,0.4879614,0.48800838,0.47551513,0.46302596,0.4613203,0.47085655,0.4772955,0.4677167,0.44091824,0.41314578,0.40505946,0.4233906,0.4567913,0.4802042,0.48323953,0.47182322,0.4699602,0.48879132,0.52428335,0.55462074,0.5649669,0.55352956,0.53369194,0.51942945,0.51759934,0.52545565,0.5355323,0.54156727,0.5412927,0.5364697,0.528135,0.51510507,0.49427426,0.46660936,0.43722567,0.4141315,0.4024044,0.40300834,0.412402,0.42413604,0.43279433,0.4374025,0.44479898,0.4623854,0.49106845,0.5191292,0.5313911,0.5194264,0.48789155,0.44869748,0.41292727,0.3872846,0.3742064,0.3740337,0.38493812,0.40419492,0.42650843,0.44363976,0.44442976,0.42120638,0.37814263,0.333521,0.3142102,0.33252826,0.378022,0.41472116,0.41772422,0.3870654,0.35718882,0.35951868,0.4041864,0.46860424,0.5221824,0.54557425,0.5409902,0.52292186,0.50528437,0.49531475,0.49397528,0.49941763,0.5078878,0.5159934,0.5213123,0.5239365,0.522712,0.5160137,0.5012389,0.48039308,0.4590825,0.4448606,0.44123527,0.44525304,0.45046055,0.45029867,0.44213974,0.42322007,0.39235094,0.34917936,0.30006123,0.25351414,0.21821006,0.19648844,0.1864263,0.18227811,0.17864956,0.17191851,0.16231959,0.15311693,0.14903289,0.15311517,0.16498606,0.180077,0.19262402,0.1986956,0.19850475,0.19456713,0.18913572,0.18260427,0.17434663,0.1644121,0.1541425,0.1456924,0.14073738,0.1396576,0.14136726,0.14369489,0.1445768,0.14322238,0.14136772,0.14200564,0.1473521,0.15608956,0.16432936,0.16806374,0.16633792,0.16174273,0.15810318,0.15808396,0.16073807,0.16333407,0.16303726,0.16005027,0.15686084,0.15604424,0.15738313,0.15697478,0.15069844,0.13739973,0.12119317,0.10779965,0.10111431,0.10038281,0.102410175,0.10386392,0.10331613,0.100506455,0.09576336,0.089526795,0.08268791,0.07631522,0.07123844,0.06761158,0.06513852,0.06334346,0.061881334,0.060447548,0.0587981,0.0567409,0.05424771,0.051454533,0.04855707,0.045779318,0.04332723,0.041423813,0.0401642,0.039451454,0.038975384,0.038411003,0.03757603,0.036504574,0.03533693,0.03419626,0.033107266,0.03203391,0.030957662,0.02992811,0.029018296,0.028244058,0.027543122,0.026838176,0.026105603,0.025380561,0.024706341,0.024102865,0.023569303,0.023105705,0.022709718,0.022344874,0.021916656,0.02125378,0.02011375,0.018250765,0.015575464,0.012330844,0.009059364,0.0063323285,0.00443467,0.0032841463,0.0026158013,0.0021906283,0.0018895284,0.0016611525,0.0014780886,0.0013135867,0.0011572432,0.001012757,0.0008916035,0.000798743,0.0007277211,0.0006646586,0.0005959423,0.0005179113,0.0004381015,0.00037441603,0.00034498842]