[0.015773185,0.014915747,0.013244461,0.011592567,0.010608166,0.010485175,0.011055242,0.012017556,0.013066616,0.013899433,0.014193971,0.013669214,0.012205166,0.010323361,0.00975468,0.01422925,0.028459096,0.055959087,0.094928585,0.13793768,0.17448123,0.19857329,0.21176696,0.22244501,0.23776676,0.25886983,0.27929255,0.29093382,0.28961352,0.27852127,0.26510367,0.2558242,0.2516677,0.2489907,0.2423078,0.22853714,0.2082448,0.18749881,0.17495312,0.17755382,0.19398825,0.2154593,0.23188275,0.23946553,0.2413676,0.24276216,0.24659841,0.254125,0.26768813,0.29028025,0.32178867,0.35591912,0.38331178,0.3969659,0.3970419,0.38829136,0.37700784,0.36674866,0.35933438,0.35418883,0.3497592,0.34300748,0.3313182,0.31346178,0.2907001,0.2662396,0.24407251,0.22722347,0.21665251,0.21092309,0.20744152,0.20430712,0.20249723,0.20625204,0.21993035,0.24338377,0.269601,0.28925776,0.29729357,0.29621056,0.29232404,0.29010665,0.28994903,0.28982973,0.28791776,0.2832284,0.275797,0.26819408,0.2654002,0.2726858,0.28946295,0.30983412,0.32558957,0.33398637,0.3367019,0.3382171,0.34043178,0.34272888,0.34138823,0.3333024,0.31894252,0.30422977,0.29575744,0.2952253,0.29787198,0.29747304,0.29113048,0.27920586,0.2627177,0.24199633,0.21859677,0.19586776,0.17801513,0.16743957,0.16384317,0.16414922,0.1644391,0.16149879,0.15506938,0.14775564,0.14482595,0.15173267,0.17112653,0.19967,0.22920905,0.2525338,0.26842856,0.27910414,0.28370428,0.2757156,0.25006607,0.21000372,0.16795921,0.13852434,0.13169496,0.14853354,0.18079682,0.2144499,0.23724468,0.24490947,0.24170917,0.23515308,0.23113322,0.23274298,0.24107857,0.2557168,0.273456,0.28906676,0.2976581,0.2981723,0.29448852,0.2930378,0.29950902,0.3149602,0.33508158,0.3506087,0.3523816,0.33694243,0.30975464,0.28151166,0.26022843,0.24694288,0.23771338,0.22937335,0.22247542,0.21987648,0.22493888,0.23880744,0.2604706,0.2845667,0.30495608,0.31686378,0.3221045,0.32583967,0.3330941,0.3432771,0.35240635,0.35695347,0.35707796,0.3547767,0.3502504,0.34140742,0.32640532,0.30684826,0.28706756,0.27125835,0.26141188,0.25732195,0.25806513,0.26217505,0.26865205,0.2770792,0.2874968,0.29799116,0.3031807,0.29710886,0.27851564,0.25467452,0.23632772,0.23049271,0.23536266,0.24456759,0.25282493,0.25882712,0.26273417,0.2633606,0.2594409,0.251125,0.24185932,0.23403348,0.2290861,0.22526056,0.22254495,0.22101927,0.22245477,0.22720788,0.23494357,0.24440058,0.25338677,0.25958323,0.2601082,0.25380155,0.24153389,0.22691672,0.21427488,0.20615838,0.20244972,0.20027041,0.19704558,0.191965,0.18872063,0.19311355,0.2094208,0.23486106,0.26065907,0.27762464,0.2826917,0.27945083,0.2737719,0.269603,0.26768544,0.26695016,0.26558253,0.26233935,0.25701913,0.25042447,0.24281262,0.2330155,0.21902756,0.19963826,0.17518084,0.14805077,0.123085506,0.1081439,0.10974281,0.12875623,0.15695836,0.18387802,0.20272525,0.21549647,0.22765844,0.2440785,0.26448065,0.28508827,0.2999402,0.30411425,0.29485628,0.27271667,0.24068904,0.20367837,0.16700236,0.13541524,0.11161224,0.09593061,0.087026834,0.084312834,0.089823924,0.108130634,0.14122474,0.18444037,0.22535141,0.25274205,0.26326194,0.265051,0.26844844,0.27935314,0.2943913,0.30749246,0.31445143,0.3161225,0.31429347,0.30879018,0.2970036,0.27723673,0.2525025,0.2309796,0.22364014,0.23737079,0.27109823,0.31442487,0.3547511,0.38295212,0.39781895,0.40351447,0.40533313,0.40633354,0.40466985,0.3971484,0.380766,0.35839453,0.3354703,0.31905034,0.31139374,0.31086934,0.3116254,0.30886015,0.30048695,0.28897431,0.2778462,0.2697048,0.2646524,0.26242006,0.26349816,0.2686197,0.27703032,0.28497148,0.28810826,0.2837969,0.2742082,0.26413798,0.25856468,0.258973,0.2636826,0.26991156,0.27651694,0.28488314,0.29577148,0.3067371,0.31133267,0.30450085,0.2863341,0.26267642,0.24016176,0.22281973,0.21171962,0.2066242,0.20675285,0.210461,0.21565391,0.22033145,0.2225498,0.2197243,0.20956387,0.19207722,0.17192899,0.15679365,0.15425803,0.16645251,0.18920296,0.21351399,0.23189543,0.24180062,0.24680293,0.25230852,0.2628323,0.2792695,0.3000674,0.3207294,0.3364092,0.34340724,0.34285906,0.33958864,0.3392751,0.34402335,0.35188153,0.35946575,0.36405674,0.36509535,0.36214578,0.35557982,0.3446076,0.33016875,0.31345144,0.29865408,0.28791726,0.28222397,0.27813518,0.27402923,0.2702582,0.26995358,0.27354562,0.27685288,0.27432862,0.26312548,0.24609526,0.22726995,0.2087776,0.18916632,0.1666621,0.1424724,0.12160989,0.11205614,0.120566905,0.14868878,0.18946703,0.23038764,0.26038945,0.27561128,0.27956524,0.27807495,0.27501705,0.2704309,0.26150042,0.24619685,0.22656183,0.21038775,0.20540328,0.21321404,0.22684018,0.23696153,0.2388704,0.23391265,0.22623922,0.2187012,0.21271883,0.20836258,0.20533097,0.20292775,0.2009172,0.19928968,0.19792265,0.19598512,0.19200169,0.1838019,0.16960482,0.15033214,0.13185169,0.12358878,0.1326377,0.1592636,0.19670652,0.23751444,0.2749436,0.30334812,0.3143024,0.30229756,0.26788244,0.22162801,0.17773576,0.14944796,0.14270031,0.1555106,0.17868698,0.2016085,0.21723785,0.2249159,0.22772165,0.22900558,0.22995172,0.23039955,0.23001261,0.22917832,0.2281611,0.22670488,0.2246442,0.22461377,0.23214562,0.2524664,0.2830218,0.31340495,0.3303634,0.32948592,0.31588438,0.30079576,0.2915374,0.2900852,0.29332712,0.29725334,0.2975498,0.29063144,0.27392852,0.24820888,0.2177561,0.18923265,0.16773707,0.15550543,0.15231605,0.15746175,0.16951056,0.18541424,0.20050304,0.21125062,0.21755229,0.22424363,0.2369386,0.2581364,0.2820743,0.2990085,0.3009888,0.28934708,0.27255085,0.26033592,0.25686368,0.25969815,0.26336524,0.26424265,0.26288435,0.26336083,0.26944244,0.28188956,0.29637882,0.3061616,0.30591726,0.29596356,0.2824252,0.27304968,0.27223,0.27825683,0.28614178,0.2917093,0.29427895,0.29515412,0.29513514,0.2933758,0.288504,0.28057143,0.27131215,0.263653,0.2600035,0.26191738,0.269222,0.27978733,0.290146,0.29719076,0.30009988,0.29914585,0.29377845,0.28098896,0.25815603,0.22658187,0.19388269,0.17023502,0.1627559,0.17087795,0.18876946,0.21050215,0.23439427,0.2607348,0.28764716,0.3091452,0.31931746,0.3170952,0.30677417,0.29382554,0.2805886,0.26667905,0.25147977,0.23608208,0.22172016,0.20758046,0.19079542,0.1692376,0.14529832,0.12548791,0.11636772,0.11934265,0.13052176,0.14486341,0.15969934,0.17451453,0.18841107,0.20117603,0.21536483,0.23634158,0.26663458,0.30127537,0.32965684,0.3431383,0.34155357,0.33095077,0.31763077,0.30265525,0.28435928,0.26210776,0.23967995,0.22314133,0.21753086,0.22310342,0.23453613,0.24302077,0.24143898,0.22875999,0.21105422,0.19681169,0.19092745,0.19105595,0.19135706,0.1890691,0.18952431,0.20089181,0.22605123,0.2561158,0.2774398,0.2807691,0.2686989,0.25058743,0.23560488,0.226506,0.22059715,0.21295887,0.20077755,0.18648426,0.17768417,0.18349624,0.20710272,0.24248934,0.27713197,0.30131713,0.31322834,0.31789246,0.3203343,0.32196596,0.32089612,0.31510195,0.3036373,0.28634617,0.26330164,0.2356308,0.20651527,0.18061411,0.161779,0.15102434,0.14648002,0.14526875,0.1448661,0.14388956,0.14133282,0.137375,0.13353442,0.1339987,0.1432902,0.16355437,0.19106448,0.21830975,0.23903604,0.25286648,0.2636869,0.27366984,0.27994835,0.2781663,0.26976916,0.26408347,0.2711186,0.29179442,0.31470633,0.32476678,0.3134168,0.2841583,0.2468314,0.21131913,0.18225844,0.16108042,0.14771914,0.1425062,0.14462775,0.1513264,0.1583605,0.16152076,0.1581017,0.14697222,0.13012995,0.11332563,0.10566789,0.11405015,0.13814215,0.16903712,0.19596039,0.21368022,0.22597378,0.24135081,0.26665005,0.3019161,0.3400763,0.37043047,0.38430682,0.37988067,0.36240005,0.34088612,0.32171592,0.30634835,0.2917515,0.27582416,0.25913176,0.24512649,0.23633943,0.2335198,0.23565505,0.24222796,0.25362036,0.27030656,0.29082736,0.31142488,0.3278555,0.33788478,0.34115675,0.33692774,0.32198265,0.29280236,0.24952334,0.19904615,0.15289594,0.121807426,0.11044484,0.11584463,0.13064927,0.14775006,0.16480093,0.18449658,0.21221967,0.2504919,0.29610774,0.3402615,0.37341094,0.38960132,0.3888456,0.37577546,0.3562888,0.3348955,0.31300697,0.29095718,0.2689766,0.24932216,0.23360746,0.22221304,0.21226412,0.2009495,0.18664968,0.17087539,0.15595342,0.1440612,0.13594788,0.13149631,0.13003142,0.13128321,0.13639297,0.14837079,0.16961467,0.19892855,0.22932917,0.2521936,0.2619549,0.26027247,0.25312388,0.24677229,0.24462514,0.24839701,0.25999066,0.27974796,0.30351576,0.32151556,0.32476938,0.31087974,0.28617558,0.2597671,0.23877537,0.22592771,0.221247,0.22303265,0.2287184,0.23523767,0.23939288,0.23763247,0.22669093,0.2054056,0.17685528,0.14793262,0.12657796,0.118734956,0.12650359,0.14763427,0.17586876,0.20392658,0.22744602,0.24706167,0.26578662,0.28491235,0.30169985,0.3112187,0.3095946,0.29758754,0.28122947,0.26884606,0.2658495,0.2710199,0.27904698,0.2847254,0.28685305,0.28652218,0.28546765,0.28457406,0.28425336,0.28473815,0.28588197,0.28842226,0.29294285,0.2997787,0.30691013,0.31246096,0.3158355,0.31839737,0.32026663,0.31792292,0.30654976,0.28359255,0.2530349,0.22224331,0.19878839,0.1845787,0.17637269,0.16792876,0.15687102,0.14784624,0.14992887,0.1689957,0.20128606,0.23678231,0.2653104,0.28370073,0.29346418,0.29807627,0.29889736,0.29563287,0.28777444,0.27558625,0.26131597,0.24777819,0.23819935,0.23487103,0.23868321,0.24869041,0.26092932,0.27020994,0.27071786,0.25951684,0.23676008,0.20693572,0.17642021,0.15174483,0.13746528,0.13648479,0.14909835,0.17199488,0.19747286,0.21758777,0.22882909,0.23424308,0.23942274,0.2470442,0.255416,0.26189545,0.2681017,0.27978897,0.3006735,0.32626596,0.3439462,0.34244907,0.3194441,0.28377122,0.24780554,0.21985643,0.199962,0.18241961,0.16213304,0.1386248,0.11691523,0.10373655,0.10463804,0.12065629,0.1479118,0.17892922,0.20696908,0.22779961,0.23904438,0.23795086,0.2234572,0.1991965,0.17529063,0.16478221,0.1785839,0.21943833,0.27940595,0.34198454,0.39035273,0.41562054,0.41940805,0.40972984,0.394883,0.3802626,0.3684403,0.36038566,0.35635754,0.35506272,0.35377952,0.3491788,0.34073246,0.3316807,0.32764494,0.33236793,0.345567,0.3633764,0.3809718,0.39490068,0.40381387,0.40768373,0.40607297,0.39825824,0.38432333,0.3672675,0.35185933,0.34242225,0.34028825,0.3433965,0.34861767,0.35253322,0.35434166,0.35386506,0.3535596,0.35489115,0.36019632,0.36867735,0.37878728,0.3863225,0.38905928,0.38611197,0.38011762,0.37375858,0.3691709,0.3657848,0.36189008,0.35600102,0.3488603,0.34357202,0.3443718,0.35380197,0.37069848,0.39012757,0.40681818,0.41789898,0.42350277,0.42456636,0.42155167,0.41450617,0.4035624,0.38905954,0.37186697,0.35380566,0.33737826,0.32439628,0.31577432,0.3118777,0.31412172,0.32314482,0.338063,0.35410956,0.3667045,0.3729609,0.3747542,0.37404546,0.3716646,0.3659422,0.35749114,0.34927714,0.34583345,0.34836808,0.35498855,0.36134407,0.364365,0.36311647,0.35973632,0.3580376,0.36154485,0.3709123,0.38297117,0.39257792,0.3962356,0.39416298,0.38955095,0.38499418,0.38094935,0.37559378,0.3678011,0.35811618,0.34930745,0.34365,0.34172714,0.34134737,0.34024957,0.33731082,0.3338159,0.33129957,0.33063802,0.33110866,0.33127895,0.32979962,0.32626852,0.32153174,0.31694552,0.31354153,0.31140423,0.31036428,0.3106747,0.31329358,0.3189956,0.3270587,0.33482718,0.33876753,0.33690837,0.3302145,0.32220963,0.31649086,0.31432423,0.3131462,0.30807582,0.29595792,0.27923778,0.2651411,0.25942937,0.26123714,0.2640616,0.26263908,0.25789714,0.25556707,0.26086807,0.27326068,0.28735575,0.29597324,0.29650256,0.2912085,0.2861877,0.28570834,0.2908194,0.2988625,0.3061101,0.30975136,0.30962077,0.3089296,0.31253445,0.32396325,0.34198484,0.36088443,0.37393436,0.37815848,0.37570587,0.370813,0.36552283,0.35820946,0.346555,0.33098057,0.31567132,0.30577052,0.3042081,0.3096255,0.3176076,0.3230748,0.32371962,0.32012668,0.31473234,0.3085489,0.30159402,0.29388002,0.28810036,0.28824314,0.296839,0.31173235,0.32709146,0.3372135,0.33968243,0.33502424,0.32440457,0.30913603,0.29141068,0.274605,0.2612354,0.25217155,0.2470807,0.24635558,0.25079527,0.26039147,0.27298447,0.2847171,0.29167727,0.29145887,0.2843578,0.27344373,0.26347134,0.25852725,0.26020694,0.26819348,0.2823473,0.30347034,0.33130506,0.3620428,0.3889595,0.40619,0.41203466,0.40903735,0.40084645,0.39063784,0.38063124,0.37311354,0.36896047,0.36710894,0.36488637,0.3601035,0.35173893,0.33985868,0.32606044,0.31466186,0.3114841,0.3195764,0.33590266,0.35339865,0.36692956,0.37547624,0.37947664,0.37688753,0.3652526,0.34567896,0.3246267,0.30954698,0.3046116,0.3083006,0.31603822,0.32222316,0.32396665,0.3211682,0.31788298,0.3190299,0.32857916,0.3454447,0.36480436,0.380514,0.38952005,0.39200595,0.38933888,0.38183424,0.3690888,0.3519132,0.33350778,0.31868467,0.31222036,0.31677797,0.33191022,0.3536159,0.37568375,0.3923472,0.40074334,0.40158296,0.3973545,0.39022538,0.38137957,0.37127158,0.36120215,0.35255682,0.34674907,0.34237576,0.33721218,0.3292347,0.32094237,0.31649053,0.3194965,0.32824364,0.33799753,0.3436365,0.34416345,0.34189773,0.33983436,0.3377384,0.33262467,0.32144812,0.30436602,0.28411567,0.26445964,0.24824627,0.23720771,0.23119389,0.2281202,0.224753,0.21896744,0.21119308,0.20454724,0.20249563,0.2067523,0.21507551,0.22274049,0.22482622,0.21996087,0.21032168,0.1999021,0.19139743,0.18634178,0.18750004,0.20120245,0.233651,0.28439942,0.3417301,0.38927448,0.41546503,0.42021596,0.41041592,0.39435348,0.37749848,0.36315775,0.35229316,0.3446431,0.3390453,0.3347232,0.33044666,0.32557485,0.32016334,0.31603956,0.31479126,0.31763494,0.3244076,0.3346052,0.34616736,0.3567487,0.36413315,0.36852035,0.3698974,0.36819136,0.36028376,0.34651867,0.3279837,0.31105146,0.29751828,0.28964734,0.28459582,0.28251052,0.28212407,0.28480446,0.29131553,0.30234185,0.31628242,0.3294644,0.33905682,0.34585288,0.3538076,0.36633143,0.38179633,0.3947834,0.39973846,0.3955404,0.38583755,0.3758361,0.36978006,0.36883458,0.37206063,0.377156,0.3815203,0.38404927,0.38396183,0.38160634,0.3761675,0.36795545,0.35746172,0.3459613,0.33422497,0.3231806,0.31514582,0.31226274,0.31534633,0.32143763,0.32664502,0.32674524,0.31983748,0.30528823,0.2855554,0.26522523,0.2509226,0.24771293,0.2572613,0.27508473,0.29324698,0.3035539,0.30368552,0.2965813,0.2881159,0.2819006,0.2788984,0.27876794,0.28154776,0.28840628,0.3002217,0.3174028,0.33790982,0.3583275,0.37457144,0.38478637,0.38907883,0.3885499,0.38317513,0.37249005,0.35658848,0.33762506,0.31905723,0.30534777,0.30107677,0.31002906,0.33249256,0.36301497,0.3911326,0.40698424,0.40677765,0.395299,0.3816025,0.37386584,0.37502626,0.382624,0.39156368,0.39691702,0.39691535,0.39187106,0.38386634,0.37424242,0.36447346,0.35554877,0.34895763,0.34567305,0.34606504,0.34968206,0.35552302,0.36257735,0.36944982,0.37405217,0.37402442,0.36823666,0.35932374,0.3517468,0.34964752,0.35225305,0.3561846,0.35662007,0.35132444,0.33980262,0.32443973,0.30959487,0.3011373,0.3036846,0.31756395,0.3386265,0.3595636,0.37494966,0.38229382,0.38373753,0.38213143,0.38023517,0.3783925,0.37633893,0.37427866,0.37402162,0.37804008,0.3872008,0.3992015,0.40917847,0.41183448,0.4044745,0.3875614,0.36488375,0.34142932,0.3222979,0.3105086,0.30622324,0.30664143,0.30811122,0.30815282,0.30642653,0.30373475,0.301042,0.29919633,0.29924583,0.3020525,0.30746654,0.31409565,0.32050934,0.32623622,0.33158275,0.33574668,0.3364316,0.33107328,0.3194336,0.3041215,0.28910673,0.27713796,0.26826403,0.260517,0.25189105,0.2422985,0.23368144,0.22894222,0.2307167,0.24046536,0.25747767,0.27788794,0.29535857,0.3035396,0.2991471,0.2833756,0.26131642,0.2393397,0.2237652,0.21965222,0.23199886,0.26180094,0.30437374,0.34721544,0.37854493,0.3925211,0.3928633,0.38618135,0.37785244,0.36960688,0.36177215,0.35457763,0.34849668,0.3439014,0.34059665,0.33797792,0.33508337,0.33094725,0.32484034,0.317094,0.30978778,0.3062488,0.30848005,0.314925,0.3213109,0.32471237,0.32586658,0.32664454,0.3261361,0.32125142,0.31140453,0.3003826,0.2923951,0.28844097,0.28692034,0.28692934,0.28806087,0.28931066,0.28945944,0.28906074,0.29024407,0.2948157,0.30335033,0.31553724,0.32968614,0.3427324,0.35055828,0.35178712,0.3473704,0.34098473,0.33445254,0.3290423,0.3244131,0.32142124,0.3203858,0.32136238,0.32332703,0.32544085,0.32709476,0.327462,0.32521388,0.3196018,0.31199017,0.30553138,0.30313766,0.30527228,0.3103218,0.31613806,0.3218169,0.32686612,0.3306949,0.3319389,0.3303158,0.32693645,0.3242154,0.32375208,0.32546782,0.3278783,0.32934454,0.32920304,0.32743588,0.32453847,0.32066277,0.3160603,0.31080034,0.30581704,0.3027778,0.30341193,0.3074061,0.31165692,0.31248444,0.30844414,0.30204776,0.29733238,0.29761067,0.30291024,0.31077108,0.31733087,0.3203518,0.32016262,0.31913507,0.3190383,0.31987306,0.3208249,0.32200643,0.32506087,0.3318977,0.34368923,0.3601534,0.37951982,0.3987702,0.4145198,0.42481267,0.42897892,0.42749462,0.4201516,0.40757582,0.39075765,0.3725854,0.35595676,0.34465384,0.34051037,0.3432183,0.34829578,0.35154703,0.3509406,0.34945118,0.35015595,0.3546221,0.36097607,0.36750248,0.3732039,0.37699452,0.3766437,0.36929014,0.35545972,0.33861116,0.32424018,0.31521487,0.31210157,0.31340373,0.31748137,0.32225847,0.32569066,0.32719776,0.32863173,0.33383822,0.34560505,0.36337578,0.38271275,0.397889,0.40544164,0.40540484,0.3995293,0.38811007,0.3703381,0.34707463,0.3232381,0.30569628,0.29946172,0.3043586,0.3158379,0.3270142,0.33276385,0.33102307,0.32324803,0.3117706,0.29868463,0.28551266,0.27400765,0.26636493,0.26394263,0.2672529,0.27489045,0.28494993,0.2943813,0.30121872,0.3044097,0.3046446,0.3029777,0.29978278,0.29482737,0.28763917,0.28007483,0.27542317,0.27682224,0.28312865,0.2898836,0.2922403,0.28884605,0.28153896,0.27375883,0.26855874,0.26810712,0.27263024,0.2809762,0.29071787,0.30031672,0.3083228,0.31383467,0.31437376,0.30819052,0.29519248,0.28017405,0.26970503,0.26884106,0.27623937,0.28637576,0.29425538,0.30016863,0.3087883,0.3239273,0.34504065,0.36665,0.38323626,0.39174008,0.39353716,0.3914127,0.3887126,0.3874035,0.3885965,0.39141512,0.39400682,0.39441967,0.3921615,0.38809094,0.3834189,0.37888917,0.37408218,0.36879185,0.36398712,0.36249158,0.3661686,0.37382028,0.38125753,0.38515726,0.38495314,0.38231003,0.37720785,0.36873403,0.35510704,0.33862296,0.32231304,0.3119988,0.30984008,0.3176401,0.33195397,0.34946275,0.36492157,0.3769448,0.38509598,0.39063743,0.39229548,0.38843307,0.37866363,0.36658165,0.35765055,0.35542285,0.35914114,0.3649722,0.36907837,0.37000802,0.3681067,0.36521637,0.3620958,0.35889804,0.3536711,0.34525836,0.33328128,0.31980875,0.30741957,0.2987471,0.29495323,0.2955366,0.2986108,0.30204526,0.30443054,0.3050693,0.30404377,0.30214313,0.3006111,0.299625,0.29794392,0.29388085,0.28754294,0.28079984,0.27584803,0.27331603,0.27226326,0.27092096,0.26734814,0.2599987,0.24843682,0.2345726,0.2221101,0.21472543,0.21329783,0.21542807,0.21738064,0.21648102,0.21299504,0.2092226,0.20896198,0.21466647,0.22624852,0.2403028,0.25261357,0.26147786,0.2686626,0.2776103,0.28917065,0.30051193,0.30787992,0.3127143,0.3253641,0.36203107,0.43118763,0.5213168,0.5997053,0.6357181,0.6221714,0.58027536,0.5346008,0.49483123,0.4551909,0.4134232,0.37621495,0.353155,0.34489384,0.34564307,0.349449,0.35568747,0.36576352,0.37930074,0.3927014,0.40190434,0.4055928,0.405579,0.40461183,0.4041507,0.40437368,0.40489444,0.4031634,0.39390612,0.371155,0.33562532,0.295761,0.26385573,0.2460822,0.24135138,0.2439686,0.24955778,0.25656426,0.26852342,0.29688135,0.35600415,0.4503149,0.56046486,0.6517939,0.6961933,0.6911287,0.65290993,0.6004459,0.5444258,0.49206343,0.44884023,0.4177914,0.39347377,0.36827508,0.33731636,0.3046703,0.27738908,0.25995567,0.25033733,0.24336225,0.23630922,0.22978784,0.22552414,0.22285502,0.22082776,0.22055204,0.22529997,0.23615985,0.24920373,0.25769743,0.25755322,0.25090998,0.24394614,0.24149005,0.24316512,0.24445157,0.24165364,0.23602378,0.23402958,0.24256736,0.26240763,0.28586695,0.30117592,0.30234456,0.2934159,0.2854828,0.28695595,0.29908141,0.3165414,0.33327892,0.3453896,0.35183445,0.35198346,0.34474313,0.32952097,0.3084186,0.28667414,0.26935923,0.25809845,0.24938099,0.23740198,0.21725035,0.18762372,0.15482903,0.13546918,0.15718268,0.23991543,0.3785262,0.5315685,0.6488259,0.6979235,0.68193513,0.6231034,0.5474699,0.47529826,0.42012668,0.38719955,0.3724338,0.36791006,0.36705542,0.36674228,0.36541414,0.36278334,0.36310664,0.37670696,0.41664886,0.48551607,0.5664416,0.626326,0.63943106,0.60555243,0.5486462,0.49233386,0.44244137,0.38928124,0.32559288,0.2565424,0.19653241,0.15858993,0.14738876,0.1587528,0.1821333,0.20864344,0.23732638,0.27985752,0.35005477,0.44863176,0.5515449,0.6228662,0.6397124,0.6104196,0.56296736,0.5216649,0.49101844,0.4644128,0.43642864,0.40957105,0.38771355,0.3718129,0.3602995,0.35261467,0.35014045,0.35296848,0.35900208,0.36442867,0.3663758,0.36205983,0.3479997,0.3210816,0.28297392,0.24199484,0.20929395,0.19129117,0.18703686,0.19120847,0.19950472,0.20912121,0.21726233,0.22012918,0.21502493,0.20159858,0.18285911,0.16509245,0.15819247,0.1712267,0.20525634,0.24812378,0.2799776,0.2869382,0.27071747,0.24572116,0.2260974,0.21720779,0.21576709,0.21670656,0.21669364,0.21480264,0.21177095,0.2098866,0.21225195,0.21924026,0.22883959,0.23743106,0.24399035,0.24832268,0.25081575,0.25159547,0.2520078,0.2564783,0.2728347,0.31410718,0.38770413,0.486053,0.578886,0.63425606,0.6375296,0.6020403,0.55003774,0.49790654,0.45081958,0.41133788,0.3824052,0.3655958,0.35923657,0.36018685,0.36647654,0.37609062,0.38603267,0.39173126,0.39019647,0.38078168,0.3663623,0.3514991,0.34181452,0.3408133,0.3484472,0.36027798,0.369548,0.36981496,0.35739782,0.3336699,0.30413327,0.27584395,0.2531493,0.23708469,0.2271748,0.223247,0.22715054,0.24357195,0.2827151,0.3535861,0.45419025,0.56134886,0.64287275,0.6758311,0.66231495,0.6188058,0.5633416,0.505757,0.45389357,0.4144723,0.39111057,0.37916625,0.3682178,0.3499173,0.32354334,0.29650334,0.27647698,0.26681283,0.26412,0.26290795,0.25709912,0.2425884,0.21804594,0.18789445,0.16159928,0.14942797,0.15671907,0.18023486,0.21030337,0.23534445,0.24821751,0.24816598,0.23875128,0.22377197,0.20514588,0.1855141,0.17042537,0.16853316,0.18591054,0.2200123,0.2580193,0.2838792,0.2887694,0.2758741,0.2560373,0.2394111,0.23072518,0.229419,0.23227473,0.23573357,0.23807634,0.24007122,0.24472602,0.2544571,0.26861563,0.28180957,0.2870214,0.28008988,0.26252225,0.23869,0.21223272,0.18535255,0.16461855,0.16430376,0.20511158,0.29715338,0.42653903,0.55259055,0.6334884,0.65235454,0.6234064,0.5735986,0.5199905,0.46913722,0.42310143,0.38675812,0.3633519,0.3521594,0.3508099,0.35634664,0.36731187,0.38013336,0.39432013,0.41444704,0.4521439,0.5129083,0.58531743,0.6406595,0.65469295,0.6261899,0.5760003,0.52489704,0.47771284,0.4275131,0.37123987,0.31687856,0.27679816,0.25717703,0.2542069,0.25790343,0.2585291,0.25256404,0.2466632,0.25908872,0.3096647,0.40339863,0.51684564,0.6097111,0.65023494,0.63667655,0.5902427,0.5357568,0.48604503,0.4443531,0.41160318,0.3894454,0.37793145,0.3717381,0.36413467,0.3499312,0.3303405,0.3086517,0.28818652,0.2692841,0.2516463,0.23527496,0.22086847,0.20921619,0.20107634,0.19762088,0.2002813,0.20993255,0.22553384,0.24358909,0.25939456,0.2694318,0.27327314,0.2728905,0.27105975,0.2692065,0.2674038,0.26516354,0.26371285,0.26620924,0.27417624,0.28356352,0.2851373,0.2729603,0.25018936,0.22817291,0.21668524,0.21761042,0.22471227,0.22948416,0.22651273,0.21572553,0.20194711,0.19268192,0.19496244,0.21143492,0.23771842,0.2641483,0.281325,0.2856451,0.28008056,0.270493,0.26136875,0.25713834,0.26611266,0.30351368,0.37921128,0.48547256,0.58934927,0.65461665,0.6620927,0.62344766,0.56422424,0.5075143,0.4621234,0.42767063,0.40130922,0.38182715,0.369247,0.3623601,0.35886788,0.35631153,0.35372838,0.3513948,0.35019898,0.35106882,0.35448143,0.35980657,0.36497584,0.3682185,0.3693702,0.37066296,0.372051,0.37046656,0.35912144,0.33659467,0.3074987,0.2830064,0.27049255,0.27180037,0.2821549,0.29630816,0.31227323,0.33520368,0.37689912,0.44646993,0.53742945,0.62251204,0.6693504,0.66438055,0.6214151,0.5667555,0.51627845,0.4717953,0.43063787,0.3961524,0.37329555,0.36184087,0.3550925,0.34565067,0.33103144,0.31348693,0.29719517,0.28467986,0.2761759,0.27085933,0.26785827,0.2666949,0.26633033,0.26615313,0.26622733,0.267514,0.27031878,0.27380562,0.27701452,0.27983344,0.28342333,0.28851855,0.2950418,0.30169693,0.30761647,0.31284037,0.31912544,0.32837805,0.340736,0.3518523,0.35426202,0.34196416,0.3162878,0.2857757,0.26075268,0.2462458,0.24039263,0.2379625,0.23558146,0.23375128,0.23420422,0.2369123,0.23915099,0.2391902,0.2378683,0.23765789,0.23900937,0.2397623,0.2369643,0.22793251,0.2103891,0.18300886,0.1522518,0.13626838,0.16328003,0.24943799,0.38209906,0.513905,0.59652495,0.6096572,0.5751188,0.52820057,0.49086,0.46199703,0.43228614,0.40051126,0.37249264,0.3553383,0.34808353,0.34777403,0.35041106,0.3560246,0.36571774,0.38646543,0.42904618,0.50011635,0.58888817,0.6676271,0.70959264,0.70650333,0.66858006,0.60859525,0.5324875,0.44207552,0.3445717,0.25216195,0.17691779,0.123294115,0.0891337,0.068205945,0.0554013,0.05035359,0.061381474,0.10576534,0.19783802,0.33142674,0.47013083,0.56706566,0.5965965,0.57263094,0.53015774,0.4957446,0.47181478,0.44881618,0.42060864,0.3906276,0.36434415,0.34305692,0.32411435,0.3049122,0.2864815,0.27057955,0.2583024,0.24810873,0.23915018,0.23138218,0.22617072,0.22375876,0.22269,0.21905236,0.20871435,0.1899568,0.16555975,0.14120235,0.122023396,0.11063526,0.10824671,0.117159836,0.13974921,0.17504835,0.2157888,0.2524639,0.27934587,0.2976748,0.30935788,0.31123522,0.29514393,0.2576739,0.20591754,0.15585177,0.12248685,0.1132518,0.12589993,0.15208513,0.18178697,0.20790213,0.2273087,0.23975384,0.24562608,0.24611287,0.24347293,0.24028075,0.23787212,0.23617274,0.23513585,0.2349584,0.2355731,0.23877037,0.25248197,0.29344726,0.37397084,0.48688063,0.59603554,0.66075146,0.66050583,0.61071545,0.54079324,0.474864,0.42048264,0.37907824,0.35099086,0.3366737,0.33280244,0.33413473,0.33582902,0.33590475,0.33372784,0.3299155,0.32572022,0.32364783,0.32596388,0.33290872,0.34239158,0.35159078,0.35968718,0.36789942,0.37583366,0.37851572,0.36625716,0.33260766,0.27917808,0.21730381,0.16009916,0.116980076,0.09090227,0.08049416,0.08400497,0.103732355,0.15104353,0.23974836,0.37146488,0.5206591,0.6447947,0.71014005,0.71337277,0.674867,0.6183679,0.5579887,0.5003986,0.45093298,0.41213223,0.3823733,0.3548166,0.32392153,0.28726506,0.24966685,0.21897118,0.20272976,0.20135629,0.20894472,0.21733539,0.2219287,0.22294937,0.22288902,0.22372027,0.22559704,0.22776222,0.22931348,0.22982539,0.22913988,0.22741003,0.22490264,0.22190876,0.21844977,0.21430771,0.20985644,0.20741846,0.21151836,0.22619593,0.2489966,0.2689459,0.27076697,0.24674536,0.20175384,0.15054317,0.106672876,0.077211626,0.062319145,0.05911294,0.063431755,0.07118793,0.07933181,0.086542524,0.09231508,0.09597813,0.09672933,0.094884336,0.09193564,0.08963063,0.08871147,0.089172274,0.09085113,0.09713468,0.11805106,0.17279471,0.27493992,0.4175736,0.5622546,0.664969,0.70127136,0.68244773,0.6335812,0.57499415,0.51472694,0.45811117,0.411925,0.38073215,0.36358628,0.3554517,0.35157433,0.34931663,0.34819472,0.35199356,0.37059116,0.4185077,0.50140876,0.60464567,0.6925041,0.7330783,0.71831375,0.6683189,0.6055626,0.5387452,0.46115544,0.37017035,0.2741954,0.18945329,0.12688588,0.08815458,0.06762843,0.058209453,0.056775257,0.06852167,0.11006699,0.19951187,0.33971897,0.50215816,0.6390481,0.7108601,0.7127874,0.66983,0.6143049,0.5651645,0.5250363,0.49069872,0.45929715,0.43054485,0.39960548,0.3591293,0.30280593,0.2353332,0.16946714,0.11918471,0.08961596,0.07790545,0.07769451,0.08381537,0.092309035,0.09965757,0.10378888,0.10492023,0.10484081,0.104340814,0.10258279,0.09849909,0.092733175,0.08836385,0.09028258,0.10483774,0.13580376,0.18175918,0.23345093,0.2808145,0.31638792,0.33800113,0.34344602,0.331665,0.30529436,0.2728508,0.2439517,0.22369023,0.21167366,0.20538092,0.2027508,0.20220228,0.20125021,0.19703174,0.18778168,0.17527325,0.16470565,0.16254415,0.17139034,0.18847317,0.20670004,0.22038202,0.2270808,0.22781079,0.2236185,0.21538986,0.20519488,0.19869596,0.20253521,0.21966912,0.24486947,0.2690052,0.28463557,0.2915301,0.29342142,0.2944795,0.29594302,0.29698762,0.29577377,0.29033658,0.27904034,0.26133862,0.23837115,0.21330519,0.19021583,0.17270644,0.16204819,0.15697156,0.15466936,0.15272446,0.15021436,0.14762008,0.14651191,0.1495251,0.16004589,0.17974561,0.2062084,0.23273301,0.25290528,0.2641531,0.2686073,0.26935363,0.26838577,0.2659792,0.26222697,0.25723514,0.2516514,0.2463997,0.24285077,0.24169719,0.24275823,0.24508458,0.24806428,0.25151634,0.25522852,0.2579094,0.2569192,0.24838865,0.23003095,0.2038912,0.17862771,0.16449566,0.16684751,0.18065923,0.19483311,0.19927205,0.19081594,0.17214255,0.14830782,0.12386691,0.1021798,0.085671715,0.0756521,0.07248251,0.07476517,0.07965297,0.08293706,0.081880815,0.07725904,0.07498499,0.08388048,0.11011746,0.15175875,0.19709069,0.2320715,0.2479996,0.2453509,0.22791399,0.19894217,0.16085218,0.119831376,0.08541941,0.067462325,0.071289875,0.095414065,0.13155706,0.16706502,0.19182098,0.20242219,0.2033363,0.20099515,0.2001793,0.20247006,0.2078195,0.21545309,0.22368442,0.23061953,0.23447752,0.23517321,0.23436372,0.23566245,0.24341094,0.2612581,0.28943858,0.3218318,0.34669194,0.35301587,0.33925882,0.3145955,0.29105562,0.2738444,0.26025847,0.24584495,0.2302296,0.21699347,0.21048361,0.21355213,0.22601773,0.24470393,0.26334965,0.27655038,0.2819401,0.28159037,0.27883145,0.276001,0.27372316,0.2718316,0.27062026,0.27066556,0.2728753,0.27764222,0.28420487,0.2899953,0.2914636,0.28616312,0.27535012,0.2636077,0.25659403,0.25649896,0.26191655,0.2685491,0.27244267,0.26953137,0.25664917,0.23312278,0.20369595,0.17767917,0.16347031,0.16305949,0.17182986,0.18296517,0.19209619,0.19681662,0.19635367,0.19047284,0.1814971,0.17244668,0.16603112,0.1623997,0.16019219,0.15751703,0.15380472,0.15040623,0.14989364,0.15430254,0.16346927,0.17528327,0.1868509,0.19589192,0.20111032,0.20210308,0.19935639,0.1940058,0.18748976,0.18059552,0.17297585,0.1633693,0.15085511,0.13643795,0.12360679,0.11728559,0.12133392,0.1359737,0.15712468,0.17793413,0.19267076,0.19935058,0.20021467,0.19901173,0.19833899,0.19852246,0.19843389,0.19693375,0.19336776,0.1876697,0.1801459,0.17201464,0.1643657,0.15719189,0.14761084,0.13314494,0.11428385,0.0976691,0.09067481,0.09710208,0.11333871,0.13453917,0.16006723,0.19563423,0.24544577,0.30505088,0.36055493,0.39783737,0.4109405,0.40457317,0.38807547,0.36967412,0.35319874,0.33933008,0.3273659,0.31648108,0.30636445,0.29684207,0.2880423,0.2798756,0.2723026,0.26538444,0.2592412,0.2539132,0.24883617,0.24333434,0.23764229,0.23421504,0.23740429,0.25009602,0.2701299,0.2899573,0.3018322,0.3036008,0.2989628,0.29280707,0.28636348,0.27850175,0.26882437,0.2596972,0.25368294,0.2519088,0.25300947,0.2547306,0.2534737,0.24671178,0.23430829,0.22136313,0.21436405,0.21682407,0.22513749,0.232364,0.23385955,0.2310775,0.2288965,0.23099215,0.2370335,0.24395625,0.24815279,0.24771242,0.24273162,0.23538665,0.22829424,0.22302651,0.21920438,0.21532504,0.2107839,0.20666973,0.2049954,0.20623016,0.20866215,0.20955546,0.20757137,0.20323889,0.19824345,0.19407637,0.19192831,0.19245444,0.19584936,0.20144731,0.20794731,0.2135856,0.21629584,0.21418436,0.20628536,0.19408678,0.18129162,0.17243212,0.17008246,0.17418577,0.18256886,0.19255078,0.20159091,0.20763417,0.2089995,0.20399193,0.19136469,0.17147188,0.14851162,0.12998177,0.12421193,0.13491344,0.15925793,0.18854249,0.21478379,0.23420644,0.24922808,0.26298368,0.27664247,0.2868577,0.28969446,0.28270966,0.26827243,0.25218627,0.24231417,0.2430685,0.25355983,0.26752996,0.2789194,0.28518018,0.28736782,0.2878748,0.2872124,0.28475142,0.2780597,0.2666324,0.25189677,0.23758917,0.22531535,0.21359517,0.19993311,0.18477182,0.17219657,0.16687368,0.17134331,0.18468726,0.20312548,0.22117186,0.23421852,0.24020416,0.23938423,0.23203282,0.2180345,0.19836892,0.17754495,0.16296515,0.16206045,0.17716856,0.20349024,0.23039901,0.2488296,0.25604448,0.25665316,0.2563213,0.25724402,0.25642893,0.24904038,0.2328741,0.2113219,0.1925344,0.18355483,0.18523502,0.1916464,0.1955595,0.19358134,0.18713652,0.17959704,0.17320593,0.16812146,0.16324903,0.15760022,0.151573,0.14688729,0.14607726,0.1507485,0.1604083,0.17132442,0.1772825,0.17262328,0.15673767,0.13683234,0.125333,0.1321624,0.15769754,0.19062187,0.21493632,0.21800576,0.19805337,0.1625347,0.12398159,0.09245182,0.072847545,0.065196455,0.068293296,0.08202925,0.10607799,0.13768636,0.17014952,0.19646508,0.21244828,0.21896313,0.2192359,0.2168739,0.21412896,0.21244638,0.21203943,0.2119624,0.21010296,0.2048217,0.1967194,0.19020264,0.19167155,0.20618834,0.23211479,0.26225913,0.2863505,0.2994219,0.30161762,0.29844484,0.29388288,0.29039505,0.2873979,0.2836087,0.27671447,0.2646835,0.2473734,0.2274457,0.20942944,0.19664662,0.18993391,0.18812661,0.19010307,0.19491245,0.20106202,0.20580049,0.20783551,0.2095067,0.21784629,0.2372679,0.26512575,0.2888259,0.2970059,0.2855129,0.26232764,0.23881306,0.224994,0.22375546,0.23223077,0.24336104,0.2510641,0.25382808,0.25553086,0.2611684,0.27183998,0.28290734,0.28785288,0.2839295,0.27436993,0.26558146,0.26211837,0.2641933,0.2684798,0.27083346,0.26921836,0.26470366,0.26077962,0.26024207,0.26332363,0.2676054,0.2702578,0.26961657,0.2655109,0.25958085,0.25465044,0.25414383,0.2588334,0.26669347,0.27345267,0.27610016,0.27306998,0.26373202,0.24733444,0.22390728,0.19630867,0.17045337,0.15409715,0.15263169,0.16693003,0.19294451,0.22560622,0.26088724,0.29526064,0.32280615,0.33611223,0.33129665,0.31194273,0.2870457,0.26477647,0.24826747,0.23667192,0.22813629,0.22179443,0.21661083,0.21006657,0.19805813,0.17791444,0.15238576,0.1305636,0.122933395,0.13354583,0.15657955,0.18106233,0.19864185,0.20761573,0.2105086,0.21128319,0.21455164,0.22623836,0.25012884,0.28343955,0.3158954,0.33675453,0.34211135,0.3363774,0.32572305,0.31288192,0.29681695,0.27705553,0.25610122,0.23911314,0.2315774,0.2356053,0.24778138,0.25873217,0.2594482,0.2468612,0.22750275,0.21140574,0.20548467,0.20860475,0.21585031,0.2243026,0.23719676,0.25905785,0.28933266,0.31793216,0.3323286,0.32579532,0.3036656,0.27772903,0.25892395,0.25074482,0.24916603,0.24608539,0.23583615,0.22167353,0.2164436,0.23396404,0.2762474,0.32839498,0.3681598,0.38195488,0.3728102,0.35415456,0.33770856,0.32754198,0.3218378,0.3176709,0.31277633,0.30563533,0.29478836,0.2792203,0.25917128,0.23671062,0.21536382,0.19823246,0.18659644,0.17944962,0.17456861,0.16990657,0.16436158,0.15820469,0.15296201,0.15173876,0.15832043,0.17428152,0.19667561,0.21870084,0.23547566,0.24764548,0.2602645,0.27603975,0.29151902,0.29952267,0.29769793,0.29262078,0.29564977,0.31044775,0.32792827,0.3321911,0.31455752,0.28001708,0.2419613,0.21235736,0.19537657,0.189175,0.18928422,0.19186641,0.1944282,0.19568302,0.19548456,0.19271924,0.18511422,0.16934848,0.14652357,0.124015205,0.11424643,0.12517186,0.15481885,0.1915877,0.22480924,0.25241163,0.2822518,0.32280865,0.3746057,0.42742977,0.467572,0.48665345,0.48599067,0.47330877,0.457039,0.4424324,0.4309561,0.42147717,0.4119343,0.4011531,0.3892971,0.37745664,0.36640796,0.35642037,0.3476168,0.34043324,0.33600783,0.33524564,0.3380808,0.34277096,0.347674,0.3533311,0.361336,0.3704435,0.372619,0.35758424,0.3206747,0.2694677,0.21941485,0.18452972,0.16959117,0.17002147,0.17750013,0.18580563,0.1949551,0.21083558,0.24080865,0.2873086,0.3433441,0.39620316,0.43346986,0.4505985,0.44994584,0.4388094,0.4233944,0.4076744,0.3924617,0.37804398,0.3647001,0.35288063,0.34169897,0.32964256,0.3151959,0.29863772,0.2811315,0.26478294,0.25140458,0.24244703,0.2381693,0.23726512,0.23769319,0.23783678,0.23807146,0.24069387,0.24802904,0.26020813,0.27390257,0.2849988,0.2915231,0.29497185,0.2980286,0.30202952,0.30713642,0.3140568,0.3241599,0.3370738,0.34780324,0.3493593,0.33696154,0.31292018,0.28399202,0.2579311,0.23888029,0.22747111,0.2214882,0.2180022,0.215244,0.21319638,0.21223168,0.21029234,0.20259792,0.18498711,0.15803039,0.12840925,0.1052205,0.09622177,0.10480875,0.12971197,0.16515253,0.20314826,0.23767179,0.26649734,0.29013097,0.30734578,0.3154874,0.31190586,0.29780987,0.27712545,0.25610855,0.24062721,0.23485221,0.23881556,0.24845357,0.25836134,0.26523826,0.26938102,0.2728226,0.27672887,0.28063306,0.2830732,0.2837559,0.28344032,0.2836475,0.28437307,0.28505817,0.28614318,0.2916474,0.30538395,0.3261256,0.34381342,0.34702644,0.33067426,0.30158517,0.27094153,0.24773373,0.23228954,0.21946351,0.20213984,0.17907394,0.15726726,0.14950307,0.16390519,0.19798529,0.23965394,0.27712703,0.30352747,0.318665,0.3232871,0.31952775,0.30888867,0.29553246,0.28305587,0.2746555,0.2701778,0.26829818,0.2675338,0.2677116,0.26905307,0.27026036,0.26873884,0.26116657,0.24620797,0.22486013,0.20082135,0.17837875,0.16133551,0.15228546,0.15360647,0.16598994,0.18703127,0.20981789,0.22794414,0.23872435,0.24494646,0.24930803,0.25217775,0.2520619,0.25023082,0.25242302,0.2652668,0.29039645,0.3200945,0.34090924,0.3413718,0.31972995,0.28454888,0.24866225,0.22069234,0.20040919,0.18180372,0.16011666,0.13650595,0.11650327,0.10589708,0.10873095,0.12611274,0.15537544,0.18852831,0.21622749,0.23190516,0.23506396,0.22774953,0.21209659,0.18936318,0.1630989,0.14007853,0.12963371,0.13840836,0.1663955,0.20409185,0.23845005,0.25989184,0.26857546,0.27069965,0.27256355,0.27598977,0.27972713,0.2822033,0.2817582,0.27490997,0.25579503,0.22012986,0.17066449,0.11929098,0.08217577,0.07118031,0.08736209,0.12112522,0.15806383,0.1864232,0.20151961,0.20540173,0.20328468,0.19985718,0.19743127,0.19604051,0.19468927,0.19265802,0.19023763,0.18826286,0.18720804,0.18669891,0.18592042,0.18451549,0.18253489,0.18021846,0.17723429,0.17309754,0.16726331,0.1598735,0.15221123,0.14690435,0.14695148,0.15299226,0.16154003,0.16491397,0.15570126,0.13232762,0.10317936,0.08402007,0.08814767,0.11744857,0.15957324,0.19797699,0.22121687,0.22911356,0.22719495,0.2216848,0.21528633,0.20834364,0.19960852,0.18679099,0.166996,0.13875072,0.104533456,0.07168101,0.049867854,0.047151268,0.06601746,0.102099,0.14522298,0.18400918,0.21111727,0.22643836,0.23484437,0.24146904,0.24816926,0.254055,0.25765705,0.25852558,0.2574076,0.25576934,0.25535676,0.25712994,0.26090395,0.26515695,0.2686517,0.27081123,0.27217627,0.27263662,0.271615,0.26808834,0.26214802,0.25390202,0.24239343,0.22455011,0.1972924,0.16023198,0.117480405,0.07616249,0.04303056,0.02124109,0.009722691,0.004952727,0.0034561798,0.0031027503,0.0030406609,0.0030341493,0.0030185508,0.002949139,0.0027962772,0.0025745865,0.002342521,0.0021851968,0.0021479626,0.0022074108,0.002279376,0.0022816535,0.0021916134,0.0020748815,0.0021055674,0.0025730813,0.0038842533,0.006436136,0.010408784,0.015527617,0.021033468,0.025841236,0.028820574,0.029128807,0.026598403,0.022479268,0.019907035,0.023408638,0.035948727,0.055593293,0.0749282,0.08632218,0.08886302,0.09031549,0.10114244,0.12533814,0.15700857,0.18414162,0.19787244,0.19759649,0.19100542,0.18649869,0.18771553,0.19063406,0.18832898,0.17569743,0.15527302,0.13680276,0.13263555,0.14836608,0.17813349,0.20856543,0.2284863,0.23619275,0.23689656,0.23579325,0.23100953,0.21620573,0.18694045,0.14866345,0.11460493,0.098756276,0.10615164,0.13139103,0.16176294,0.1846717,0.19241273,0.18564017,0.17106421,0.15616496,0.14269722,0.12747316,0.10887256,0.09330977,0.09259138,0.11418188,0.15368564,0.1965741,0.22782107,0.23993747,0.23494083,0.22061105,0.20560002,0.19559367,0.1907506,0.1873421,0.18236858,0.1785382,0.18215938,0.19658218,0.21735616,0.23583436,0.24629523,0.2497068,0.25048324,0.25168282,0.2529521,0.25527653,0.2657092,0.29981485,0.3689327,0.46836138,0.56998515,0.6419416,0.6665859,0.6510477,0.6123174,0.5654554,0.5187415,0.47872713,0.45127186,0.4384896,0.4376012,0.4419761,0.4454465,0.44419765,0.43901476,0.4337463,0.43239355,0.4358761,0.44116125,0.44402787,0.4409219,0.43176982,0.41852403,0.40464082,0.38996696,0.37137744,0.34355804,0.30693543,0.2672204,0.23375373,0.21084863,0.19786537,0.19046797,0.18605529,0.18512325,0.19349511,0.22360635,0.28899637,0.39242354,0.51296574,0.6137295,0.6628755,0.6564165,0.615133,0.5666734,0.52650017,0.49688676,0.47503805,0.4592254,0.44755733,0.4343646,0.4139155,0.38484645,0.35375834,0.32787693,0.31110644,0.3009731,0.29446673,0.28927556,0.28493306,0.28041944,0.27460933,0.26704624,0.25879556,0.25196153,0.24768858,0.24537408,0.24322063,0.24100828,0.24047945,0.24433029,0.25337493,0.2662325,0.2802017,0.29365954,0.30696514,0.32141814,0.33547366,0.34334064,0.33722064,0.31436217,0.27941498,0.2427843,0.21330951,0.19493799,0.18512493,0.17796057,0.167121,0.15065828,0.13273871,0.12205657,0.124957986,0.14024478,0.1588754,0.17076792,0.17056005,0.15941985,0.14133455,0.12055042,0.10022509,0.08665768,0.09207466,0.13729568,0.23613955,0.38047743,0.52934855,0.63515496,0.67170984,0.650774,0.60220855,0.54996634,0.50377285,0.46531555,0.43772015,0.42239812,0.4177673,0.41831088,0.419143,0.41771808,0.41334525,0.4092743,0.4142047,0.44292215,0.50368255,0.5871523,0.6625485,0.69838786,0.6821875,0.6279327,0.5566103,0.4799403,0.3970814,0.30914444,0.22581072,0.16145913,0.123443834,0.10879963,0.10779921,0.1110693,0.114885025,0.12433753,0.15435116,0.22113673,0.3286571,0.4571259,0.5708473,0.638937,0.6524937,0.62412596,0.5733493,0.5165922,0.4639933,0.42221546,0.39348248,0.3744143,0.35741067,0.335181,0.30562142,0.27242813,0.24198161,0.21949482,0.20636605,0.20112102,0.20032103,0.20099564,0.20057969,0.19764125,0.19196554,0.18687575,0.18848793,0.20225222,0.22662733,0.25288093,0.2693286,0.26840118,0.24902035,0.21606809,0.1781844,0.1450104,0.12512736,0.12414906,0.1436774,0.17897116,0.21832277,0.24761935,0.25882503,0.25473723,0.24491526,0.23717912,0.23331882,0.23122992,0.22933201,0.22830915,0.22973329,0.23412435,0.23986198,0.24430446,0.24521244,0.24237639,0.23728721,0.23223738,0.22894017,0.2281083,0.22967131,0.2326932,0.23787792,0.2499213,0.2805097,0.33809796,0.41740307,0.49232283,0.5360098,0.5398533,0.521352,0.5017924,0.489705,0.47858217,0.46380243,0.44814834,0.43835592,0.43516687,0.4353795,0.43543127,0.4355382,0.43686584,0.44036245,0.4456884,0.45224798,0.45855454,0.46263018,0.4625895,0.45860693,0.45197308,0.4431902,0.4290744,0.40521863,0.36944726,0.326397,0.28490508,0.25362292,0.23425032,0.22164746,0.20738757,0.18657875,0.16219933,0.14665471,0.15997493,0.21938682,0.32526132,0.45154595,0.5587539,0.61859304,0.63137275,0.6167153,0.593697,0.56970257,0.5467429,0.5282771,0.51808745,0.5130318,0.5020016,0.47408077,0.42722595,0.3717047,0.32078895,0.28244984,0.25394192,0.22882879,0.2034561,0.1808746,0.16682875,0.16432013,0.1708564,0.18026288,0.18775956,0.19223882,0.19538558,0.19735412,0.19664721,0.1918929,0.18629676,0.18554062,0.19434257,0.2112691,0.23135436,0.25011152,0.2670611,0.28198418,0.29136372,0.28900754,0.2726476,0.24745446,0.22305967,0.20568484,0.19404598,0.18138994,0.16217045,0.13700365,0.11295551,0.09908778,0.10189568,0.12232844,0.15614323,0.19457482,0.22759837,0.24643171,0.24671853,0.22860123,0.19700553,0.15975168,0.12893201,0.120487355,0.15579121,0.24701567,0.38414073,0.52484816,0.622391,0.6538017,0.63628155,0.6004167,0.564754,0.52793986,0.4862026,0.44428933,0.4121597,0.39528012,0.39167592,0.39540267,0.4003152,0.40327242,0.4066857,0.41968128,0.4541773,0.51493114,0.5912983,0.65751195,0.68775517,0.67180675,0.6195317,0.549104,0.47270933,0.39376903,0.31311896,0.23645562,0.17239921,0.12731059,0.10104708,0.08853629,0.08353364,0.08325511,0.09222254,0.12427062,0.19444157,0.30418265,0.4292201,0.53012305,0.57841986,0.5763785,0.55086106,0.52695966,0.5125591,0.4996889,0.48266968,0.46238017,0.44329596,0.42311534,0.39624456,0.36066422,0.32280627,0.29182914,0.27177253,0.25926378,0.24756038,0.23324513,0.21847434,0.20914757,0.20856218,0.21534826,0.22474413,0.23425424,0.24394868,0.25491014,0.2659454,0.2751328,0.28110087,0.28405836,0.28420097,0.2815255,0.27641034,0.27110842,0.26982155,0.2762234,0.2894321,0.30179814,0.30316088,0.2884205,0.26241076,0.23599686,0.21882379,0.21365754,0.21697581,0.22154038,0.22097373,0.21285738,0.2004459,0.1900286,0.18679346,0.19173484,0.20179558,0.21253495,0.22091688,0.22677243,0.23150617,0.23597603,0.23942222,0.2433474,0.2554151,0.29104462,0.36087856,0.45961905,0.5606149,0.6350126,0.66865706,0.6687179,0.6490645,0.61880636,0.5814773,0.54104847,0.50350696,0.47322807,0.4513674,0.43824854,0.43491808,0.44160768,0.45480552,0.46738398,0.4725064,0.46747997,0.45537266,0.4420253,0.4321423,0.42666408,0.4233698,0.41884792,0.40888166,0.38953987,0.35880315,0.32051766,0.28305936,0.2551415,0.23931022,0.23221701,0.22787297,0.2225243,0.21658291,0.2169363,0.23824112,0.2964423,0.39495572,0.5111961,0.6056399,0.6447069,0.6247162,0.5675489,0.50352633,0.45160714,0.41831625,0.4015253,0.39663157,0.396758,0.39429662,0.38351333,0.3636464,0.3399938,0.31965253,0.30754617,0.3027779,0.30145463,0.29912347,0.29427853,0.28747925,0.28082404,0.2759404,0.27394128,0.27472576,0.2769203,0.27817953,0.27685365,0.2740783,0.27275252,0.27463076,0.27744007,0.27638638,0.26850414,0.25615272,0.24743474,0.25089315,0.26911804,0.29390186,0.31043205,0.30624747,0.27961093,0.23964876,0.20088704,0.17556144,0.16890837,0.177658,0.19391905,0.21009125,0.22243081,0.229666,0.23040992,0.22214685,0.20359308,0.17863727,0.15788954,0.15444255,0.1746984,0.21208918,0.25077173,0.27921352,0.30056763,0.33256125,0.3900874,0.47099185,0.55048144,0.6010273,0.609731,0.5874786,0.5542006,0.52464795,0.5026558,0.48604992,0.47373223,0.46488762,0.45889786,0.45284715,0.44505385,0.43542138,0.42618108,0.4198579,0.41815314,0.42099014,0.42538068,0.42698196,0.4221855,0.41189626,0.3994348,0.38826966,0.3759884,0.3563902,0.32182267,0.27252313,0.21670417,0.16885324,0.13991202,0.13424188,0.14783521,0.17231654,0.19756937,0.2174393,0.23230696,0.24953198,0.27564692,0.3110335,0.34683666,0.3731288,0.38443443,0.38414013,0.37910008,0.37532583,0.37459913,0.37521222,0.3746543,0.36971352,0.35822085,0.33790767,0.3094829,0.27583316,0.24183433,0.21111804,0.18520659,0.16439712,0.14847459,0.13770662,0.13158147,0.12957342,0.13082314,0.13542782,0.1443926,0.15871382,0.17787468,0.19798523,0.21355654,0.2191425,0.21286108,0.196373,0.17509817,0.15614046,0.14677717,0.15239544,0.1741632,0.2073233,0.2412194,0.26426038,0.2703744,0.26258484,0.24952309,0.23870367,0.23247324,0.2288239,0.22485797,0.21913302,0.21251886,0.20774983,0.20842378,0.2174,0.23508309,0.258713,0.28322926,0.30393234,0.3186376,0.32788685,0.33290887,0.3341864,0.3317242,0.32624754,0.31926942,0.31214628,0.3050891,0.29719308,0.286874,0.2728429,0.25462368,0.23311804,0.21108246,0.19313185,0.18454207,0.18739478,0.19859666,0.21101135,0.2197597,0.22502226,0.23077983,0.23893237,0.24797027,0.25485966,0.2584405,0.25945267,0.2586504,0.25639477,0.2528226,0.24914269,0.24698007,0.24801047,0.25298038,0.2608275,0.26927912,0.27591226,0.28027573,0.28346062,0.28664592,0.28941724,0.28959677,0.28505555,0.27490887,0.26007482,0.24161284,0.21936756,0.19270976,0.162118,0.13137302,0.10493972,0.086326994,0.075136155,0.06935111,0.06626611,0.064700015,0.06434824,0.06650866,0.07332223,0.08790102,0.110789634,0.13919866,0.16571401,0.1840554,0.19124955,0.19029056,0.1856234,0.18102722,0.17745744,0.17475452,0.17277569,0.1718017,0.17199738,0.17272455,0.17303564,0.17214786,0.1701109,0.16771792,0.16620946,0.16663496,0.16916107,0.17337912,0.1790442,0.18726842,0.19955747,0.21638137,0.23517983,0.25162837,0.2617989,0.26498887,0.26360086,0.26124692,0.26036963,0.26102594,0.262091,0.26245776,0.262035,0.26070276,0.25774133,0.2521905,0.24419369,0.23541547,0.22765642,0.22108322,0.2136995,0.20253158,0.1854136,0.16195421,0.13413443,0.10652418,0.08648088,0.08214054,0.09831375,0.13166137,0.1705284,0.20038736,0.21275182,0.20890851,0.19752778,0.18705012,0.1815802,0.18021727,0.1802483,0.17954774,0.17740811,0.17420964,0.17009455,0.16533303,0.16033566,0.15618525,0.15350342,0.15180697,0.1498463,0.14668198,0.14247586,0.13783632,0.13330145,0.12891053,0.12474663,0.12111223,0.11873948,0.118736774,0.12276419,0.13342242,0.15247434,0.17860663,0.20490398,0.22292168,0.22831643,0.22522312,0.22119641,0.21927644,0.21428259,0.19851124,0.17135614,0.1427347,0.12735373,0.13261421,0.15293576,0.17357683,0.18372573,0.18349765,0.18199271,0.18769003,0.20274794,0.223764,0.24481148,0.26131198,0.27083167,0.27430084,0.27278367,0.26547736,0.24938615,0.22422308,0.19583817,0.17432688,0.16725421,0.17526694,0.19306593,0.21377957,0.23089974,0.23988985,0.23861672,0.22845483,0.21205437,0.19154514,0.16861446,0.1460477,0.12866654,0.12147328,0.12843174,0.14995368,0.1820624,0.21632136,0.2442178,0.2611494,0.26813933,0.26872495,0.26545325,0.25795305,0.24430688,0.22447272,0.20340367,0.18964697,0.18969983,0.20229353,0.21989603,0.23456256,0.24343038,0.24785782,0.25016162,0.250918,0.24885023,0.24217553,0.23079759,0.21823823,0.21146631,0.21634698,0.23335283,0.25550094,0.2739952,0.28256822,0.2806838,0.26939514,0.25036713,0.22505666,0.19781576,0.17513637,0.1642589,0.17013077,0.192221,0.22381043,0.25341496,0.2720513,0.27628484,0.2681694,0.24994339,0.22384924,0.19459867,0.1703438,0.15794855,0.15775716,0.16458656,0.1740836,0.18563652,0.20019816,0.21487339,0.22502142,0.22746117,0.2247497,0.22112893,0.22027099,0.22207737,0.22552468,0.22893752,0.23216806,0.23488975,0.2373289,0.2387621,0.23896725,0.23733361,0.23357551,0.22596908,0.2120258,0.18944322,0.15934637,0.12715638,0.10151737,0.090661146,0.09986016,0.1282975,0.1688665,0.20916863,0.23831445,0.2507404,0.24756338,0.23133135,0.20409572,0.16813523,0.12979703,0.09948098,0.0880546,0.100844406,0.13391782,0.17483722,0.20809841,0.2219768,0.2122414,0.18261479,0.14183076,0.10123083,0.07029759,0.054729447,0.05499227,0.06942936,0.09557698,0.13051689,0.1688028,0.20277333,0.22607033,0.23687303,0.23852853,0.23570202,0.23176993,0.22792597,0.22482485,0.22333153,0.22440232,0.22855167,0.23523504,0.24308711,0.2500619,0.25392842,0.25134787,0.2377656,0.20942575,0.1680061,0.12325602,0.0897092,0.079165764,0.09465915,0.13071251,0.17682807,0.221542,0.25372356,0.26592112,0.25687173,0.2338463,0.20812045,0.18885253,0.1775284,0.16953017,0.16011591,0.14995505,0.14574869,0.15377128,0.17417718,0.19822703,0.21481276,0.21657433,0.20490319,0.18653584,0.1692698,0.1571857,0.15052237,0.14788969,0.14938955,0.15772283,0.17469285,0.19804937,0.22033024,0.23516436,0.24110895,0.24272078,0.24399994,0.24516505,0.24213053,0.23028593,0.20733333,0.17568171,0.1435904,0.12330303,0.12412667,0.14621691,0.1787585,0.2083984,0.22628792,0.23254023,0.2308917,0.22490203,0.21488035,0.20077299,0.18475802,0.17289466,0.17184822,0.18348557,0.20180619,0.2161256,0.21846135,0.20796447,0.1894479,0.16766147,0.1443565,0.119330324,0.09497756,0.077626556,0.075953096,0.09388435,0.1276197,0.16525245,0.19551693,0.21242027,0.21819866,0.21763165,0.21475057,0.20995796,0.20141321,0.18707453,0.16767913,0.14824778,0.13598861,0.13545175,0.14508702,0.15856582,0.16995586,0.1770125,0.18086697,0.1827,0.18205011,0.17660664,0.16454633,0.1473375,0.1325091,0.13082121,0.14931498,0.18383068,0.22128272,0.24832056,0.2604654,0.26175097,0.25902033,0.256134,0.25329444,0.24945861,0.24516387,0.24365537,0.24914785,0.26300344,0.28108823,0.29551944,0.30021083,0.29447886,0.28206733,0.26649165,0.24909393,0.22996579,0.21053521,0.1931833,0.17940693,0.1685609,0.15870176,0.14848576,0.13759524,0.1267458,0.11674888,0.10863415,0.103173785,0.10097895,0.101935975,0.10533925,0.110695355,0.119309396,0.13401334,0.15660368,0.18439527,0.21136165,0.23169516,0.24403413,0.25015604,0.25273085,0.25304273,0.25167704,0.24958785,0.2481042,0.24870507,0.2509364,0.25243196,0.24896388,0.23799919,0.22039151,0.20088436,0.18489116,0.17531723,0.17138837,0.1701288,0.16894509,0.16678225,0.16414535,0.16325532,0.16677092,0.17658864,0.1907168,0.20513517,0.21574502,0.2221889,0.2260141,0.22898857,0.23108585,0.23171832,0.23109515,0.23043074,0.23110063,0.23294328,0.2348008,0.23550957,0.23586331,0.23753653,0.24174826,0.2474135,0.25256273,0.2556275,0.25701833,0.25780776,0.25855216,0.25809267,0.25473693,0.24792649,0.23947127,0.23258956,0.22988935,0.23153955,0.23550916,0.23897518,0.2401629,0.23883979,0.2357393,0.23190431,0.228221,0.22590144,0.22583891,0.22848612,0.23281072,0.23697703,0.2385457,0.2352926,0.22485286,0.20516813,0.17604469,0.14170836,0.11153877,0.09703206,0.10596467,0.13710485,0.1797189,0.21840227,0.24178879,0.24779887,0.24297915,0.23547821,0.22952579,0.22413795,0.21646905,0.20506735,0.19115274,0.1774718,0.16637148,0.1582159,0.15139766,0.14372571,0.13439795,0.12469709,0.116984926,0.11270091,0.111332215,0.11100909,0.11003429,0.10792437,0.10526364,0.102926336,0.10132282,0.100261055,0.09921714,0.097717404,0.09556997,0.09287045,0.08987856,0.08687786,0.08447529,0.08469985,0.09174505,0.11035451,0.14099304,0.1768844,0.20691104,0.22462845,0.23251605,0.23803596,0.24372001,0.24445182,0.23287608,0.20780693,0.1760478,0.14785044,0.13145529,0.13100594,0.14601898,0.17186154,0.19993354,0.22258955,0.23607618,0.24241899,0.24501395,0.24649887,0.24715577,0.24574418,0.23924376,0.22412288,0.19936389,0.16883504,0.14011182,0.11989224,0.11123586,0.11404839,0.1275029,0.1495149,0.17553268,0.19841011,0.2124021,0.21535176,0.20868532,0.1937822,0.17167282,0.14389874,0.11486593,0.09068704,0.07757305,0.0798693,0.09843782,0.12938507,0.1638034,0.1921937,0.20896107,0.21530108,0.21598434,0.2156434,0.21603708,0.21693267,0.21742177,0.21726131,0.2166804,0.21608515,0.21533775,0.21409987,0.21238445,0.21169305,0.21487409,0.22441323,0.23962986,0.25592378,0.26755533,0.27150652,0.26845625,0.26001212,0.24663208,0.2282226,0.20650458,0.18474786,0.16610669,0.15185387,0.14172845,0.13463093,0.12922263,0.12435483,0.119254775,0.11370919,0.107589,0.10096029,0.094050884,0.08761924,0.08241383,0.07877163,0.07605475,0.07322832,0.06948649,0.06502666,0.060719788,0.057533205,0.055756662,0.054966014,0.05438472,0.05344622,0.05200654,0.05018738,0.048126504,0.045924153,0.04370598,0.041609343,0.03957453,0.037344396,0.034632843,0.031497438,0.028299756,0.02554365,0.02350388,0.022205697,0.02141934,0.020837666,0.020177132,0.01930345,0.018271357,0.017223177,0.016298419,0.015517116,0.014801434,0.013988362,0.012935107,0.011604675,0.010112097,0.008656286,0.0074009653,0.0063979295,0.005601767,0.004931796,0.00432724,0.003767793,0.0032653585,0.0028592797,0.0026028438,0.0025680498,0.0027908338,0.0032332754,0.0037420385,0.004135178,0.0042744395,0.0041312347,0.0037344953,0.0031454517,0.0024392332,0.0017236978,0.0011133911,0.00069448695,0.00050192844,0.00052718207,0.0007251326,0.001013392,0.0012873553,0.0014652382,0.0015286807,0.0015191251,0.0014937478,0.001488106,0.0015122298,0.0015650265,0.0016419949,0.0017330406,0.0018216305,0.0018918369,0.0019339299,0.0019499488,0.001951119,0.0019499087,0.001946358,0.0019225449,0.001858219,0.0017485552,0.0016101951,0.0014596181,0.0012976467,0.0011106052,0.000892773,0.0006588993,0.00043991997,0.00026419968,0.00014416297,7.416852E-05,3.8828784E-05,2.3218503E-05,1.8185438E-05]