[0.0077981,0.0119545115,0.02143535,0.034047917,0.046024527,0.05340595,0.053716015,0.049180537,0.045184463,0.046852607,0.05402491,0.061455328,0.0632757,0.05764514,0.04951096,0.047329072,0.05802832,0.08131677,0.10961322,0.13363369,0.14808182,0.15396728,0.15486658,0.15398926,0.15232928,0.1503701,0.14877313,0.14849268,0.14846762,0.14498334,0.13405935,0.11663238,0.10126785,0.099462844,0.11657637,0.1457227,0.17184478,0.18259503,0.1796117,0.17861843,0.20179868,0.25634173,0.32829937,0.3840389,0.40088072,0.37714002,0.33510733,0.2955313,0.26962897,0.25382927,0.23998807,0.2187752,0.18725818,0.15117767,0.12573598,0.12867297,0.16789515,0.23335044,0.29741573,0.3343735,0.33559263,0.31513837,0.29332462,0.28333524,0.28450367,0.28916097,0.28815982,0.2775738,0.26045087,0.24756895,0.25218642,0.27949712,0.32125145,0.35581955,0.36593023,0.3474201,0.31382564,0.28092635,0.25871155,0.24541382,0.23335624,0.21398324,0.18484145,0.15313241,0.13347526,0.1414655,0.1800219,0.2368161,0.28566125,0.3086641,0.30348328,0.2863451,0.27219585,0.2681743,0.27087715,0.27543202,0.27833855,0.27925953,0.28143778,0.2901872,0.31096932,0.34046552,0.3677537,0.37575218,0.35850438,0.32267284,0.28691247,0.26416823,0.25701666,0.2567407,0.25262123,0.23714882,0.20963316,0.17788656,0.1559002,0.16011645,0.19450612,0.24737747,0.29083684,0.30658424,0.29301286,0.26885974,0.24964695,0.24087949,0.23561399,0.22672194,0.21260189,0.19853944,0.19386102,0.2065361,0.24051721,0.2878386,0.33171406,0.34979835,0.33499017,0.29681462,0.25973365,0.24040978,0.24256505,0.2560949,0.269354,0.2756637,0.27646267,0.27906886,0.2909477,0.31609324,0.34931043,0.37990162,0.39413866,0.3893261,0.37321994,0.36156964,0.3630118,0.3741679,0.38278124,0.37561238,0.34990773,0.3129772,0.28174052,0.27011883,0.2851079,0.3192346,0.3570188,0.3788557,0.37640652,0.35230073,0.31990802,0.28917933,0.2647712,0.24367239,0.2210607,0.19353706,0.16304202,0.13806222,0.13038522,0.15072584,0.1982422,0.25941858,0.30915725,0.3314806,0.32468006,0.30450106,0.28502813,0.27470776,0.27222034,0.2735221,0.27296352,0.2667949,0.25710988,0.2524556,0.2651211,0.29705915,0.33743775,0.36332932,0.36241162,0.33652416,0.30302253,0.27496675,0.25796124,0.2475429,0.23678555,0.21930277,0.1937778,0.16728862,0.15383793,0.16883951,0.2147067,0.2772869,0.32827672,0.34990954,0.34201106,0.32347813,0.30959347,0.306432,0.30893826,0.3110963,0.30909488,0.3024087,0.29440108,0.2908722,0.2995894,0.32114527,0.34778962,0.36238432,0.3554552,0.32909063,0.29906407,0.27803996,0.27061436,0.27173868,0.2746669,0.27482593,0.2706401,0.2648226,0.26303446,0.2732867,0.2959075,0.3225319,0.33650228,0.3307025,0.30940303,0.28801015,0.27594516,0.27528727,0.280782,0.28823712,0.29485774,0.29983306,0.30422333,0.31160805,0.32657602,0.34721076,0.36495253,0.36772385,0.35538113,0.33690178,0.3253359,0.32129323,0.318114,0.30728284,0.28878108,0.2681019,0.2540626,0.25394002,0.27209058,0.30554044,0.34349492,0.37042034,0.3761123,0.36370012,0.3467907,0.33872724,0.34181187,0.3492398,0.35233453,0.3479164,0.33909932,0.33402765,0.33995283,0.36103928,0.3921598,0.42453745,0.4450929,0.44696853,0.42918047,0.40087804,0.3738153,0.3578767,0.35459256,0.35820666,0.3587564,0.35051206,0.3355491,0.32389084,0.32535902,0.34224698,0.36589268,0.381537,0.3790237,0.36066297,0.33969727,0.32982552,0.3357686,0.35084984,0.3637065,0.36462292,0.35297355,0.3349383,0.32183585,0.3219116,0.3379272,0.36282095,0.38335252,0.3865461,0.3704088,0.34492174,0.3251084,0.31941843,0.32451817,0.3293196,0.32196596,0.29985523,0.27044252,0.24868894,0.24698222,0.2677786,0.30142793,0.33030355,0.34064135,0.33053252,0.31078902,0.29513386,0.29143658,0.29803154,0.30778387,0.31156927,0.3056493,0.29323217,0.28570044,0.29416427,0.3204421,0.35322902,0.37270942,0.36690807,0.33871368,0.306096,0.28679824,0.28899908,0.30629912,0.32403037,0.32756642,0.312049,0.28528062,0.2634405,0.26213557,0.28577808,0.3255724,0.36120793,0.37623224,0.36638606,0.3440101,0.3259141,0.32316068,0.33408737,0.34818482,0.35319754,0.34451845,0.3282179,0.31794572,0.3252424,0.34936452,0.3769947,0.39000514,0.38303247,0.36774948,0.36272642,0.37465897,0.391269,0.3955826,0.3792428,0.34871164,0.3148936,0.2880019,0.2752154,0.28281918,0.30994534,0.34599605,0.37161204,0.37539938,0.36057332,0.34300217,0.3343787,0.33413884,0.33356115,0.32474992,0.31017804,0.30003306,0.30901718,0.3403583,0.38420722,0.41678366,0.42300305,0.39942026,0.36022735,0.31780982,0.2812375,0.24940501,0.22169934,0.19814242,0.1818877,0.17287235,0.1690275,0.16679133,0.16561556,0.16577667,0.16764146,0.1700084,0.17167462,0.17230888,0.17342804,0.17728783,0.18589728,0.19753654,0.20832305,0.2127827,0.20991099,0.20279098,0.2002822,0.21080469,0.24121177,0.28737402,0.336951,0.368973,0.37252975,0.3488568,0.31350365,0.27827135,0.24858981,0.2230867,0.20167863,0.18422611,0.1682306,0.14936037,0.12637019,0.10514393,0.09451208,0.09967906,0.11694208,0.13787185,0.1563055,0.17281066,0.1925732,0.21723138,0.24157853,0.25541708,0.25528944,0.24981083,0.25544834,0.28181386,0.3250148,0.36881408,0.3971109,0.39706576,0.36944756,0.32334104,0.2773294,0.24281062,0.22356035,0.21357809,0.20776026,0.2028296,0.19842686,0.19418825,0.18995427,0.18568812,0.18156762,0.17790759,0.17466146,0.17186697,0.1692583,0.1669172,0.1647989,0.16302717,0.16145515,0.15980765,0.15782835,0.15534778,0.15245837,0.14916267,0.14564228,0.1421066,0.13892795,0.13692696,0.13848917,0.14866261,0.17302905,0.21255322,0.2594742,0.30039343,0.32546338,0.33445287,0.3343693,0.3313589,0.3267536,0.3196744,0.31085932,0.30334988,0.29888615,0.2968358,0.29463756,0.2904575,0.28338075,0.27297342,0.25907773,0.24231787,0.22469516,0.20834507,0.19652098,0.1942414,0.21037309,0.24783927,0.29895332,0.34136644,0.3588414,0.3488082,0.32705474,0.30692697,0.29304537,0.2791685,0.25974724,0.23480831,0.20985168,0.1931297,0.19131674,0.21094191,0.25086293,0.30211094,0.34249187,0.35366717,0.32798904,0.2793899,0.22886242,0.19541644,0.1825378,0.18256517,0.18423949,0.18570644,0.1948521,0.2223797,0.2701817,0.32700804,0.37383017,0.39258242,0.37884602,0.3413087,0.29840633,0.26361617,0.24145162,0.22629617,0.21011527,0.18807083,0.16134112,0.13854004,0.13189718,0.15416074,0.20340078,0.26106092,0.29402852,0.28474906,0.23948479,0.1889258,0.1585105,0.15789668,0.17692597,0.19991498,0.21442217,0.21730636,0.2147081,0.2172767,0.23662142,0.2744222,0.32212588,0.35796192,0.3668554,0.34466937,0.30677447,0.2706292,0.25104108,0.24990027,0.26109484,0.273264,0.27885145,0.27896133,0.282281,0.29884756,0.32770252,0.3573096,0.3686492,0.3557916,0.32544145,0.2957948,0.27624497,0.26898277,0.2689564,0.2735858,0.28003743,0.2872112,0.29618445,0.311408,0.33529067,0.3597057,0.3685869,0.34773207,0.30230287,0.2527407,0.22296816,0.22063564,0.23823637,0.2614365,0.28041297,0.29157698,0.2951511,0.29444066,0.29546705,0.3056318,0.32505357,0.34345874,0.3426579,0.31411752,0.26667756,0.22607379,0.21633536,0.24372125,0.29132327,0.3287517,0.3357303,0.31280112,0.28183457,0.2654092,0.27665925,0.30903745,0.3453401,0.36295667,0.35282457,0.3202274,0.2839483,0.25879574,0.25007796,0.25224194,0.2559228,0.2549272,0.2486624,0.24355811,0.24765153,0.2670226,0.29723263,0.32534003,0.33431816,0.3192887,0.28818175,0.25812033,0.23902218,0.23137414,0.22789852,0.22210602,0.21168,0.19948633,0.19344336,0.20374896,0.23683877,0.28633747,0.3326449,0.35379067,0.34293982,0.3116834,0.2803631,0.26144895,0.25587055,0.2570221,0.2587346,0.2577888,0.25430208,0.2514464,0.25526062,0.27120438,0.29720086,0.32119766,0.32779098,0.31261948,0.28488395,0.2600417,0.2448752,0.23678134,0.22797078,0.21373373,0.19334514,0.17162305,0.15802576,0.16466188,0.19717829,0.24792333,0.2956129,0.31895387,0.3101875,0.28029928,0.24950902,0.2351986,0.24167955,0.26077452,0.2754761,0.27379897,0.25461757,0.23127389,0.21988814,0.22955696,0.2535864,0.27382672,0.27319038,0.24837124,0.21351375,0.19018358,0.19629864,0.23076284,0.27568564,0.30065718,0.29065678,0.25138167,0.21151634,0.19631457,0.21645887,0.25872678,0.297261,0.30808377,0.2847176,0.2383315,0.1865717,0.14076658,0.104796015,0.07891659,0.06306992,0.055471916,0.052636977,0.051910907,0.054905877,0.06804498,0.097475015,0.1420064,0.18929763,0.22321655,0.23482902,0.22997957,0.22289966,0.22546087,0.23863007,0.2549267,0.26563093,0.26977336,0.2750053,0.29343042,0.32812306,0.36870435,0.3939675,0.39028287,0.36064777,0.3234137,0.2960762,0.28485706,0.28239036,0.27550304,0.25256974,0.21139681,0.161067,0.119138986,0.10226955,0.11390447,0.14147484,0.16186851,0.16248436,0.14944266,0.14347409,0.15886177,0.1923517,0.22808911,0.24831252,0.24483748,0.21928175,0.18730743,0.16973044,0.18558927,0.23516166,0.30087826,0.35270157,0.36983052,0.3498701,0.30953515,0.2687415,0.23878597,0.21943867,0.20493652,0.19036013,0.17359044,0.15665823,0.14503162,0.14663209,0.16344291,0.18886691,0.20875955,0.21699835,0.22055204,0.23483635,0.26614678,0.30494347,0.33523,0.34873366,0.3510382,0.35249636,0.3595108,0.3717321,0.387617,0.40434873,0.4168537,0.41425678,0.39082536,0.3504254,0.30940965,0.28134593,0.2695966,0.26448795,0.25401017,0.23182775,0.20109653,0.17206512,0.15667807,0.16445307,0.19473672,0.23686807,0.27194384,0.2883005,0.28602898,0.27753875,0.27299142,0.2743357,0.27400663,0.26339865,0.24017201,0.21284585,0.19636698,0.20062916,0.22046892,0.23862046,0.24019952,0.22552438,0.20899759,0.20885913,0.2337399,0.28127328,0.33769456,0.386941,0.41295102,0.40894762,0.38095275,0.34687653,0.32547018,0.32328454,0.3325111,0.33931375,0.33644077,0.32999048,0.33477736,0.36020365,0.39957276,0.43066028,0.43621123,0.41468337,0.38254964,0.3550303,0.34093234,0.34114483,0.35818875,0.39009035,0.42772722,0.45279574,0.45431387,0.4348022,0.40949404,0.38989142,0.3776022,0.36593923,0.34764376,0.31929255,0.28156167,0.24093316,0.207312,0.19130886,0.19308712,0.20211084,0.2007621,0.18406503,0.16161625,0.1511482,0.15753861,0.17051427,0.1740104,0.16145301,0.13942051,0.12202024,0.12221876,0.14596422,0.1906913,0.24365635,0.28641048,0.29820415,0.27193823,0.21612404,0.15532245,0.110960536,0.09504214,0.10518491,0.13233261,0.16504435,0.19595377,0.22457504,0.2550448,0.2911639,0.3285142,0.35761547,0.3668343,0.3555375,0.33252314,0.31417844,0.30893323,0.31367233,0.31470466,0.3013444,0.27370295,0.24435936,0.2290399,0.23826392,0.272901,0.3217698,0.36684546,0.3862228,0.3727018,0.33266369,0.2875211,0.25103086,0.22910255,0.21618561,0.20787878,0.20104201,0.1975869,0.2025765,0.22113775,0.25318766,0.2882001,0.3136449,0.3213717,0.31727424,0.31021285,0.30732563,0.30623236,0.30313125,0.2944025,0.27807772,0.25244638,0.21835573,0.18543826,0.16936858,0.18697171,0.23766346,0.30330673,0.35042664,0.36013517,0.3335693,0.2941216,0.26077706,0.24193317,0.2329346,0.23028319,0.23525237,0.2537478,0.28552607,0.32079318,0.3429135,0.34257498,0.3244401,0.30174807,0.2860788,0.27829233,0.27549043,0.2728516,0.2707803,0.26933476,0.269672,0.27120635,0.2744395,0.28214753,0.2993783,0.3321434,0.37671113,0.41936144,0.43721583,0.42093256,0.3770032,0.32751822,0.2875584,0.2626677,0.24922264,0.24436705,0.24605705,0.2510769,0.25656566,0.261626,0.2702404,0.2820238,0.2911569,0.28477398,0.259109,0.22024137,0.18429409,0.16098076,0.15219943,0.15160646,0.15388156,0.15655571,0.161003,0.17110045,0.19094776,0.22421491,0.26489148,0.29948583,0.3069254,0.28101423,0.2316339,0.18707953,0.16973515,0.18787743,0.22590417,0.2570448,0.25754753,0.22605889,0.18213673,0.15254433,0.15098073,0.1711696,0.19449063,0.2041843,0.20085162,0.20061588,0.21886127,0.25298157,0.28081933,0.28543243,0.26503184,0.2360809,0.21035294,0.19563246,0.19388227,0.21254675,0.24911702,0.28971806,0.30585203,0.28494844,0.23408218,0.18112023,0.14417978,0.12804681,0.12359289,0.123240955,0.12280225,0.12165328,0.11946977,0.11597682,0.11117759,0.10563094,0.10014222,0.095320225,0.091347344,0.08834205,0.08771548,0.09319463,0.110932015,0.14429854,0.18872857,0.22843437,0.24545777,0.23100108,0.19495809,0.16021824,0.14910974,0.16943194,0.21109033,0.2552956,0.28609154,0.29839346,0.29533085,0.2846626,0.27344325,0.26699707,0.2658855,0.2672819,0.2665542,0.26140276,0.25271532,0.24366204,0.23744108,0.2346409,0.23334795,0.2303289,0.2243774,0.21651612,0.20884699,0.20241089,0.19746351,0.1947956,0.19634908,0.20593472,0.22757886,0.26491383,0.31193674,0.3534764,0.36682332,0.34477112,0.2990128,0.25830773,0.24092263,0.24698491,0.25863943,0.25874567,0.2402186,0.20951301,0.18022399,0.16633816,0.17482035,0.1992629,0.2216727,0.22241001,0.1996514,0.17064577,0.16101567,0.18142362,0.2251604,0.2759306,0.32176593,0.35804284,0.3855617,0.4086593,0.4317119,0.45619825,0.47347638,0.4702699,0.43558428,0.37706232,0.31535923,0.27472246,0.2630335,0.2716433,0.28167084,0.27697966,0.250326,0.20522048,0.15664363,0.1263528,0.13426375,0.17940968,0.23832256,0.27456823,0.27316216,0.24568637,0.22242458,0.2188192,0.23032379,0.23972498,0.2374541,0.22720973,0.22185744,0.23399527,0.26921728,0.32184407,0.37665725,0.41458687,0.42265022,0.40067303,0.35992917,0.31686866,0.28317055,0.26265976,0.25154132,0.24473035,0.24002646,0.23883855,0.24446726,0.26015195,0.28835288,0.3259511,0.36284885,0.38483337,0.38623297,0.37279537,0.3580592,0.34928802,0.34463903,0.3353697,0.31632754,0.29027653,0.26864186,0.26260018,0.27808002,0.30904248,0.34329322,0.36413178,0.36245707,0.33816528,0.30261883,0.26933587,0.25037023,0.25070503,0.26863983,0.29469356,0.32056364,0.34280208,0.3636411,0.38092744,0.38819012,0.38110963,0.36637568,0.3578672,0.36696592,0.39124253,0.41707012,0.42584565,0.41026732,0.37479123,0.33354542,0.29668862,0.27168444,0.26324138,0.277709,0.31229928,0.35516426,0.38465056,0.3890939,0.3676683,0.3341671,0.2995123,0.27149215,0.25020784,0.23588096,0.22767293,0.22519547,0.22650242,0.22925128,0.23113771,0.23132454,0.23022284,0.22965197,0.23159198,0.23822425,0.25087437,0.26977357,0.29313126,0.3174428,0.3386143,0.353101,0.3589026,0.3552864,0.3433676,0.32599288,0.30790147,0.29405794,0.28787875,0.28954497,0.29640374,0.304806,0.31215778,0.31809536,0.32318655,0.32814467,0.3318002,0.33284703,0.32988465,0.32371998,0.3154886,0.3067068,0.29801002,0.29063928,0.28622097,0.28622225,0.29036054,0.2967749,0.3035204,0.31018898,0.3176538,0.3266766,0.33650658,0.3464892,0.3569189,0.37032625,0.38565004,0.3972362,0.3942535,0.37240168,0.33686557,0.30269566,0.2821124,0.27978662,0.29009256,0.30356494,0.3107778,0.3080752,0.29844055,0.29001322,0.2907437,0.30309704,0.3225231,0.3394985,0.34650096,0.34248152,0.33395997,0.32956138,0.3352714,0.34981182,0.36660746,0.37618563,0.3745391,0.36487904,0.35709354,0.35978237,0.373386,0.38947883,0.39437723,0.38074067,0.35102773,0.31882977,0.29923794,0.30237624,0.32561082,0.35578898,0.37579438,0.3779216,0.36627683,0.35279357,0.34552774,0.34487307,0.3453966,0.34313914,0.34101662,0.3470265,0.36296138,0.37990078,0.38165018,0.3644201,0.3365269,0.3130604,0.2976943,0.28959557,0.28968745,0.30869532,0.3498951,0.40239713,0.43903074,0.4434414,0.41666853,0.37962493,0.34917855,0.3337938,0.32961488,0.3305919,0.32952973,0.32338512,0.31418553,0.3102933,0.32033047,0.3440081,0.36897305,0.37580624,0.3550575,0.31291875,0.26900533,0.24086387,0.23667352,0.25268626,0.27678934,0.29425812,0.2956067,0.28401938,0.2737658,0.2812675,0.30991173,0.34657788,0.36632642,0.35404566,0.31388,0.2699099,0.24615169,0.25234756,0.279507,0.3095365,0.32832634,0.33162788,0.32586154,0.3213911,0.32830727,0.3462112,0.36542842,0.36941648,0.35391676,0.3279231,0.3104622,0.31057644,0.32565716,0.34434083,0.35834542,0.36452684,0.3658402,0.36836052,0.37880778,0.40045545,0.4267628,0.443313,0.43184558,0.3875927,0.3208095,0.25519684,0.20919023,0.19039951,0.19261186,0.20335509,0.21064837,0.20973526,0.20746964,0.2152866,0.24359687,0.2859931,0.32575634,0.33756223,0.3147929,0.2676688,0.22313644,0.19951044,0.20264149,0.2250729,0.25497642,0.28055736,0.294786,0.29993248,0.30690578,0.32819715,0.3655733,0.40627646,0.42655137,0.4123505,0.36824024,0.31943962,0.29036745,0.29186952,0.3152306,0.34402332,0.3660016,0.3811405,0.39593315,0.4140183,0.42920172,0.43131784,0.41585913,0.39003327,0.37032005,0.3728155,0.39998767,0.43716812,0.4587402,0.45171395,0.41974762,0.3810599,0.34650767,0.3218037,0.3085873,0.31508002,0.34208927,0.3800812,0.4049679,0.40284672,0.37437358,0.33814618,0.3078091,0.28838837,0.27425364,0.26031068,0.24482077,0.23044717,0.22350992,0.23143661,0.26069638,0.30675998,0.35488677,0.38293168,0.38264802,0.3609189,0.3373078,0.32167903,0.31311083,0.3021084,0.28398967,0.2594212,0.23308142,0.2118231,0.20494182,0.22467275,0.27189,0.33249488,0.37448427,0.37681124,0.33616817,0.27471074,0.21585827,0.1781814,0.16505975,0.16981061,0.17970729,0.18611173,0.19262283,0.21130824,0.25252533,0.30887794,0.35923257,0.37923613,0.36589304,0.3347012,0.310666,0.3036108,0.3097141,0.31729162,0.32114995,0.3208178,0.31820285,0.31490102,0.31556448,0.32831362,0.35477924,0.3853694,0.39894402,0.38530457,0.349841,0.31361926,0.29026613,0.28194845,0.28010288,0.27725998,0.27139255,0.265725,0.2675403,0.2836069,0.31741655,0.36121595,0.39919308,0.41352952,0.40191016,0.37582377,0.35369363,0.34230384,0.3378272,0.33093083,0.31745696,0.2990849,0.28233704,0.27588812,0.2881924,0.3232012,0.37378204,0.42274293,0.44923863,0.4461802,0.4233196,0.40319037,0.40243372,0.42235038,0.44927248,0.46433878,0.45943198,0.43983445,0.42058516,0.4111686,0.4105991,0.41086695,0.40439534,0.39079538,0.37465966,0.36460674,0.3658487,0.37914026,0.39863107,0.41693196,0.42738244,0.42793822,0.4212167,0.41408768,0.41495466,0.42880586,0.45094573,0.4669548,0.45958412,0.42527667,0.37495327,0.3286997,0.2967892,0.2796013,0.2696677,0.26162997,0.25221542,0.24124002,0.23033677,0.22214957,0.21709137,0.21271314,0.20559336,0.19627589,0.19005726,0.19534181,0.21659486,0.25100228,0.2875822,0.3154532,0.32932857,0.33268788,0.33093584,0.32679304,0.31793648,0.30256912,0.2833909,0.2675557,0.26078007,0.26253918,0.267743,0.27120903,0.27117848,0.2668889,0.25835708,0.2473504,0.24032153,0.24419637,0.26072505,0.28310108,0.30171153,0.31067932,0.31014797,0.3020704,0.2869266,0.26550004,0.24218433,0.22515942,0.2198524,0.22455497,0.23024695,0.22832406,0.21547037,0.19805473,0.18829237,0.19948785,0.23189682,0.27045286,0.29011655,0.2794061,0.246237,0.21308799,0.19508816,0.19546562,0.20711076,0.22283036,0.23598962,0.24264258,0.24140467,0.23533,0.2288428,0.22502886,0.2237997,0.2236846,0.22355098,0.22394381,0.22686128,0.2345412,0.24794538,0.26538917,0.2840395,0.30104157,0.31546292,0.32762673,0.33955476,0.35410324,0.37216198,0.38926458,0.3956912,0.38395676,0.35591254,0.32247606,0.29522803,0.27883962,0.27164766,0.27010763,0.27251494,0.27711022,0.28099883,0.27921125,0.268872,0.25024965,0.22896008,0.21141474,0.20346569,0.20572351,0.21534902,0.22613096,0.2336446,0.23622806,0.2356947,0.23387195,0.23131536,0.22736986,0.22211683,0.2173893,0.2164701,0.22172876,0.23255998,0.24441735,0.25171983,0.2506238,0.24214272,0.23135859,0.22662081,0.23283827,0.24898537,0.265496,0.27412215,0.27185497,0.26547456,0.26348314,0.27099296,0.28391495,0.29190382,0.2861717,0.26708063,0.24555658,0.23484427,0.24362774,0.2683511,0.29740474,0.31390595,0.3107859,0.29164812,0.2728535,0.26904532,0.2886771,0.32591483,0.36595193,0.3911076,0.39410892,0.38097012,0.36674628,0.36444473,0.3773233,0.39913234,0.4171734,0.42357895,0.41717148,0.40656558,0.39969516,0.40260446,0.41243935,0.4228741,0.42454565,0.41576874,0.4014307,0.3923993,0.39461687,0.4060388,0.4171368,0.41796413,0.40649608,0.388917,0.37664977,0.37630543,0.3880054,0.40356612,0.41301665,0.40792966,0.38884005,0.36433685,0.347567,0.3476496,0.36285734,0.38215926,0.38990247,0.38031635,0.35861853,0.33989933,0.3349448,0.34618375,0.36701342,0.3879604,0.40265694,0.40925333,0.4115877,0.4144423,0.42324877,0.43708333,0.4509714,0.45441148,0.44354913,0.42093924,0.39902487,0.38935423,0.39829198,0.41961277,0.43834224,0.44109955,0.4265864,0.40495083,0.38622776,0.372425,0.36054954,0.34953615,0.34201932,0.33859393,0.33608687,0.33024442,0.32219756,0.3170168,0.3191198,0.328011,0.34167865,0.3608644,0.38515353,0.40779293,0.4146298,0.39833394,0.36455452,0.3288263,0.30080822,0.28294381,0.2769971,0.29296136,0.33774552,0.40377414,0.4650875,0.4983674,0.4985443,0.48075864,0.46331576,0.454636,0.45341706,0.454628,0.45540142,0.45344713,0.44745147,0.43677643,0.42487517,0.41688764,0.41613808,0.41842875,0.41677138,0.4077215,0.39617062,0.38908067,0.38924822,0.3936545,0.3984792,0.4019653,0.4036542,0.40198866,0.39651766,0.39187872,0.39649692,0.41355756,0.43355787,0.44016254,0.42544046,0.39698634,0.37083077,0.3569673,0.3553315,0.35931203,0.36266127,0.36150432,0.35598364,0.35083294,0.35470435,0.3723576,0.39937106,0.4208864,0.42473432,0.40893242,0.38418564,0.3621875,0.34939304,0.3443401,0.34265152,0.3401611,0.33635125,0.33516166,0.34426165,0.3703088,0.41230884,0.45902753,0.4930718,0.5031047,0.4904466,0.46727931,0.4450177,0.4279158,0.41424203,0.40229216,0.39244246,0.38502598,0.37919557,0.37385187,0.3694125,0.36422506,0.35401097,0.33358887,0.30662787,0.28561184,0.28419197,0.30327514,0.32853553,0.3413407,0.3327168,0.3115063,0.29718867,0.30715296,0.34062973,0.37859318,0.39507678,0.37904558,0.3390193,0.2956687,0.26453546,0.25307178,0.2630606,0.295745,0.3440298,0.39159575,0.41470993,0.4039135,0.36744723,0.3304632,0.3124567,0.31932387,0.34131017,0.36467066,0.38294694,0.40043703,0.42239973,0.44508752,0.45238492,0.43520555,0.39739808,0.35919118,0.3358339,0.33600232,0.35729095,0.39695275,0.4457915,0.49112907,0.5159764,0.513286,0.48773596,0.45410195,0.42351857,0.3991942,0.3779938,0.357903,0.3419524,0.33535168,0.34155145,0.35753146,0.3767339,0.38925567,0.3879178,0.36934638,0.34161878,0.318727,0.3141406,0.32761398,0.34824827,0.36154786,0.3608936,0.3480678,0.33150125,0.32130125,0.3263551,0.35096696,0.3896329,0.42785427,0.4457179,0.43372676,0.39698505,0.35420394,0.32136154,0.3053907,0.30318475,0.30813494,0.3145344,0.31919268,0.3222961,0.32505953,0.32878646,0.3326367,0.33521762,0.33408856,0.3284019,0.31836903,0.3070672,0.29907498,0.29932097,0.31002638,0.32767275,0.34463105,0.352978,0.35281122,0.352316,0.36484423,0.39261344,0.42427322,0.43628082,0.41836223,0.3785592,0.34356022,0.33421826,0.35665497,0.39716414,0.43457142,0.45128116,0.4443297,0.42357314,0.4031029,0.3898315,0.37986848,0.36419713,0.33864358,0.31329933,0.30708483,0.33039188,0.37050936,0.39557144,0.38259122,0.33429596,0.2814757,0.25820065,0.2811601,0.3375769,0.39339292,0.4181126,0.4038525,0.36986807,0.3427221,0.33786356,0.3517127,0.36838007,0.3724477,0.35716668,0.3300339,0.3073344,0.3080537,0.33674097,0.3817579,0.41739932,0.42835996,0.4151324,0.39518464,0.38580772,0.39852032,0.43033037,0.4661683,0.48389432,0.47339568,0.4402294,0.4023449,0.371837,0.3553582,0.35535634,0.37680683,0.41655087,0.4617078,0.49009144,0.49091646,0.46787962,0.43874106,0.4159037,0.40336302,0.39652428,0.39121756,0.38587996,0.3816768,0.38046443,0.38323736,0.38908434,0.39510503,0.39719537,0.39284024,0.3831711,0.3741045,0.3730185,0.38591543,0.41093147,0.4387453,0.4538339,0.4477168,0.42344305,0.39750278,0.38601944,0.3978795,0.4258838,0.45427987,0.46428204,0.4511185,0.42233208,0.39497015,0.3789929,0.3766772,0.38277784,0.39170352,0.39851698,0.40061918,0.39882204,0.3964665,0.39739168,0.40065768,0.40177354,0.39460897,0.37959877,0.361968,0.34934446,0.34359744,0.34205374,0.340153,0.33587506,0.33007994,0.3244202,0.3220841,0.326906,0.3449892,0.37622705,0.4126898,0.43677744,0.43770155,0.41684365,0.3897269,0.369813,0.36246455,0.36311963,0.36527857,0.36449113,0.36018682,0.35535824,0.3536624,0.3577119,0.3636583,0.36431304,0.3528156,0.3342905,0.3235261,0.33325127,0.3579146,0.37395796,0.36081812,0.3194432,0.2748278,0.256631,0.2773044,0.32464907,0.36960182,0.39005533,0.38197958,0.3592377,0.33517113,0.3152791,0.30029622,0.29546583,0.3099325,0.3434434,0.38206244,0.40238687,0.3946536,0.36737883,0.34496465,0.34493396,0.36861256,0.4002807,0.42041,0.42046466,0.40531194,0.38981214,0.3850174,0.39641616,0.41732982,0.43516278,0.43224677,0.4030933,0.35723424,0.3194916,0.31108093,0.33741558,0.38338658,0.42245606,0.43401513,0.41366434,0.3733466,0.3284558,0.2878375,0.25263277,0.22173445,0.1975686,0.18546891,0.18996187,0.21028785,0.23939973,0.26808995,0.2893915,0.30184245,0.30707136,0.3068923,0.30105957,0.2880713,0.26799706,0.242436,0.215487,0.19111933,0.1761598,0.17657578,0.1966904,0.23170465,0.27125013,0.30211207,0.31821153,0.3208811,0.31876072,0.3192086,0.32537064,0.33371577,0.33927584,0.3379476,0.33097997,0.32422972,0.32785514,0.34596324,0.37398466,0.39766112,0.40780115,0.40315244,0.3929901,0.38849273,0.39897263,0.42287683,0.44638857,0.450974,0.43077675,0.39728618,0.37052354,0.36225495,0.3727293,0.39441514,0.42075062,0.44501975,0.46213683,0.4640787,0.44856715,0.4183618,0.38757944,0.37063682,0.37843475,0.40628543,0.438815,0.45423332,0.44253397,0.408204,0.37099686,0.35008955,0.35461155,0.37610272,0.39456308,0.39331222,0.37001285,0.33684888,0.30726478,0.28737465,0.27550948,0.2675279,0.25997317,0.24909425,0.2325871,0.2104777,0.18839574,0.17301752,0.17044236,0.18048441,0.19980776,0.22120188,0.23901083,0.24918468,0.25216743,0.25025058,0.24640934,0.24196643,0.23700167,0.23064381,0.22186105,0.20996885,0.1954838,0.18071751,0.16894335,0.16255404,0.16126601,0.16279693,0.16478975,0.16646151,0.16801177,0.16894238,0.16714601,0.1597347,0.14568621,0.13051125,0.12749864,0.15539183,0.22036894,0.30826053,0.38222095,0.41532218,0.40371847,0.37387905,0.35101578,0.34714183,0.35203087,0.35049072,0.33099034,0.29601046,0.25857082,0.23685427,0.24490035,0.28313947,0.3365252,0.3782637,0.3904256,0.37355235,0.34757426,0.33104864,0.32962358,0.33276784,0.32615507,0.30162373,0.2640141,0.22762008,0.20975654,0.22316535,0.2679138,0.32878304,0.37751833,0.39303705,0.37401736,0.34158632,0.31813,0.3128595,0.31702533,0.31611913,0.30077925,0.27496204,0.253082,0.251689,0.27921537,0.32849145,0.3800921,0.40949032,0.40481135,0.3723266,0.33385155,0.30870795,0.30301735,0.30835855,0.31124353,0.30230156,0.28243926,0.26133308,0.25281397,0.26640546,0.30046487,0.34030345,0.3649602,0.362947,0.34106812,0.31874672,0.31298777,0.32696196,0.35301837,0.37711748,0.38715073,0.37727347,0.35298064,0.3285117,0.3193649,0.32989347,0.3508949,0.3621576,0.3522599,0.32385853,0.2966454,0.28773114,0.3044646,0.3356748,0.36278507,0.36889055,0.35474634,0.33536112,0.33026496,0.3471975,0.3781174,0.4065148,0.41641012,0.40543422,0.3831966,0.36800098,0.37138617,0.39302137,0.41965115,0.43465114,0.42769644,0.40245536,0.37382114,0.3576971,0.36191833,0.38100898,0.4033897,0.41362754,0.40689814,0.38751447,0.3703359,0.36456755,0.3682247,0.37060973,0.36269638,0.34669623,0.33109078,0.32638785,0.3371024,0.3648275,0.40273118,0.43917003,0.45570382,0.4456695,0.41448346,0.3821927,0.36250302,0.3595487,0.3646448,0.36708102,0.35922113,0.34040383,0.31781986,0.30229113,0.30609107,0.3297932,0.3627238,0.38121974,0.37306842,0.34110454,0.3071121,0.2887794,0.29259214,0.30937412,0.32449505,0.3275802,0.31754294,0.3042318,0.30013755,0.31670406,0.35109946,0.38892284,0.40500474,0.38905632,0.34842005,0.3090432,0.28947386,0.29478708,0.31342363,0.3300409,0.33285335,0.32008255,0.30063677,0.2892674,0.30031505,0.33495238,0.37978828,0.40865442,0.4061184,0.37481603,0.33781347,0.31585267,0.31674394,0.33063328,0.3411609,0.3372244,0.31887296,0.2978375,0.28806627,0.3012918,0.33503482,0.3761272,0.40148342,0.4001874,0.37558126,0.3471566,0.33007845,0.3295565,0.33796063,0.34351873,0.3380042,0.3201956,0.29859963,0.28559276,0.29501566,0.32745555,0.37005952,0.39617148,0.39166608,0.36038223,0.32614315,0.30711082,0.30819172,0.31801096,0.32220888,0.31148124,0.28651842,0.25767225,0.23973115,0.24754362,0.2826036,0.33181036,0.3677002,0.374266,0.3534416,0.32727703,0.31329295,0.315565,0.3230213,0.32198846,0.30731368,0.28495747,0.26967612,0.2737709,0.30275872,0.3474152,0.39096165,0.41459882,0.4172125,0.41249892,0.41773024,0.43242022,0.43921757,0.4240867,0.3895711,0.3555644,0.3382722,0.34308147,0.36279282,0.3909441,0.42137682,0.44807377,0.4576248,0.44269237,0.4060786,0.36680388,0.3418186,0.33777332,0.34558585,0.3505604,0.34417903,0.32814136,0.31171617,0.30013785,0.29352942,0.2892195,0.2879367,0.2937502,0.31022933,0.3407972,0.38147464,0.42373922,0.44904265,0.44690394,0.4149988,0.3685514,0.32224092,0.29112813,0.2815365,0.29944018,0.33848858,0.38377106,0.40932623,0.403596,0.37137496,0.3363353,0.31652644,0.31790075,0.3311607,0.34339917,0.34882733,0.35210875,0.36143327,0.37667048,0.38601777,0.3786645,0.3540108,0.32678533,0.31331488,0.32589212,0.35963604,0.39977503,0.42210087,0.41590634,0.38197434,0.3384519,0.29977962,0.27918753,0.2810118,0.30846575,0.35286453,0.39802098,0.42252254,0.42122844,0.40179455,0.3810681,0.3644047,0.35170516,0.3402445,0.33271158,0.3319255,0.33667123,0.34366402,0.34918305,0.35292205,0.35442427,0.3529402,0.3481998,0.3424275,0.33921668,0.33995226,0.34269634,0.34579822,0.34963512,0.35769507,0.37285304,0.39549506,0.4203668,0.43881205,0.44248906,0.42997745,0.4055387,0.3795021,0.3632783,0.36703193,0.3912119,0.42269588,0.44191906,0.4347366,0.4039549,0.3628095,0.3261142,0.29949126,0.28149655,0.26849523,0.2595762,0.2562349,0.25856945,0.2640088,0.26777908,0.2667121,0.26035687,0.2510828,0.24147801,0.23329999,0.22663765,0.22103421,0.2186159,0.22651766,0.256636,0.31076613,0.37514427,0.41984534,0.42854205,0.40500113,0.37428066,0.35374168,0.34855393,0.3506905,0.3527244,0.35101736,0.346243,0.34286115,0.34623078,0.36223444,0.38729241,0.40859225,0.40520403,0.368529,0.3082975,0.25137302,0.22078933,0.22318669,0.24687533,0.27274114,0.28851557,0.29443312,0.30123964,0.31922042,0.35226348,0.3912907,0.42097172,0.4239659,0.39870548,0.3565409,0.318782,0.29696575,0.29230067,0.29731143,0.30526403,0.31254336,0.31893793,0.32864344,0.34654436,0.37455463,0.40132225,0.40831783,0.37910196,0.32151753,0.2625914,0.23484702,0.24954276,0.29332206,0.3399289,0.36774412,0.37219,0.3608075,0.35019806,0.35308278,0.37725696,0.4143417,0.44665745,0.45170936,0.42491975,0.3787533,0.3378496,0.31680074,0.31630376,0.32399413,0.32444373,0.30591086,0.26690888,0.22046371,0.19062538,0.19883366,0.24508393,0.30349603,0.33820343,0.33327183,0.30098265,0.26946318,0.2555126,0.25840974,0.26660588,0.27189222,0.27271536,0.27218568,0.27512482,0.28673816,0.310729,0.34242246,0.3683747,0.3719943,0.35011718,0.3150532,0.28700265,0.27740085,0.28412056,0.2976817,0.30781376,0.31090757,0.3076166,0.30413494,0.30547044,0.3130095,0.3219893,0.3272319,0.32963696,0.33833006,0.35866693,0.38498557,0.39879096,0.38957843,0.35969198,0.3254361,0.2984825,0.28438926,0.28290534,0.29579848,0.3247219,0.36514604,0.4040332,0.4242462,0.41906095,0.39473116,0.3673776,0.3480564,0.34089294,0.3425723,0.3479927,0.35112432,0.34888184,0.34421834,0.34446537,0.35509908,0.37284884,0.3883382,0.3927977,0.38576493,0.37404838,0.36769548,0.37440443,0.39386776,0.41622326,0.42378184,0.4052273,0.362699,0.31250283,0.27018675,0.24245697,0.22656105,0.21739103,0.2120874,0.20909278,0.20982541,0.21789972,0.2412206,0.2796462,0.32199755,0.34402907,0.3321409,0.2909285,0.24541807,0.21728861,0.21395518,0.22478335,0.23543829,0.2406444,0.24951534,0.27373272,0.31334808,0.35098365,0.366962,0.35210267,0.31286874,0.26126274,0.20968835,0.17049438,0.15683691,0.17826562,0.23023643,0.29332677,0.34014794,0.35509822,0.34076872,0.31626117,0.30009237,0.30142435,0.31451002,0.3258811,0.3228812,0.30420718,0.28000048,0.26501936,0.26903462,0.28967202,0.31575894,0.33087313,0.3287764,0.31333253,0.30019313,0.30056405,0.31796014,0.3429841,0.36228076,0.3652097,0.35252598,0.33469296,0.32531515,0.33229157,0.35281673,0.37596515,0.3876468,0.38193503,0.3625771,0.3425747,0.33327815,0.33974853,0.35674497,0.37310597,0.37869927,0.3717314,0.359705,0.35299325,0.35834846,0.3734027,0.38976052,0.395879,0.38761708,0.36862198,0.35137272,0.346591,0.35969368,0.38321123,0.40247586,0.4019998,0.38034582,0.34978244,0.33021477,0.33493343,0.36224866,0.3971585,0.41735145,0.41175762,0.38313618,0.3488419,0.32251298,0.3109648,0.31002793,0.3126104,0.3103075,0.30005515,0.28619894,0.28071558,0.29688382,0.3356432,0.38100398,0.4034785,0.38635933,0.3361533,0.28120157,0.24538426,0.23646498,0.24523501,0.25807962,0.2644328,0.261119,0.25349396,0.2527896,0.2706757,0.3066836,0.34671533,0.3663372,0.35382846,0.3154442,0.27478603,0.25031126,0.2489812,0.26358452,0.28269398,0.29486457,0.29481903,0.28675756,0.2839112,0.3020749,0.34293285,0.3900057,0.41294822,0.39746264,0.35311615,0.31010807,0.28956103,0.29460874,0.31232265,0.32842064,0.33464208,0.32991913,0.32107076,0.3187075,0.33428407,0.3668805,0.40386453,0.4231631,0.41689488,0.3912399,0.365019,0.34735373,0.34004548,0.3379571,0.34070334,0.34977213,0.37063444,0.40275598,0.43873224,0.45858863,0.44781795,0.40538022,0.35392165,0.3221419,0.32856593,0.36591622,0.40716898,0.42499304,0.41029146,0.375356,0.3412039,0.3239725,0.32979423,0.35613045,0.39293,0.42356646,0.4312153,0.40961075,0.3716462,0.33916974,0.32837784,0.33448088,0.34146342,0.33430782,0.31488803,0.29957017,0.30866358,0.34737885,0.4002726,0.4396092,0.44891593,0.42921498,0.39776468,0.37020603,0.35697624,0.35789883,0.3670735,0.37534073,0.37700427,0.37282705,0.36915317,0.3715445,0.3815545,0.39667082,0.415127,0.43393573,0.4474534,0.44755077,0.4322931,0.4073449,0.3818508,0.35999355,0.34204516,0.32745254,0.31580028,0.30470845,0.29118523,0.2789687,0.28060034,0.30973145,0.3624148,0.41373447,0.43016997,0.40035558,0.34001032,0.28197977,0.24704199,0.23809247,0.24261713,0.24752568,0.24585842,0.24093847,0.24379821,0.2662023,0.31035623,0.36159852,0.39389905,0.38634288,0.34209195,0.28589687,0.246193,0.23246478,0.23456621,0.23674573,0.23489322,0.23947488,0.26660037,0.31972626,0.3852347,0.4345977,0.4493252,0.42749366,0.39095584,0.36556518,0.36948726,0.3980007,0.42833546,0.43678722,0.41662577,0.38136598,0.34991172,0.33227396,0.3289722,0.33765498,0.3593371,0.38940167,0.4155136,0.4182217,0.38995323,0.3382274,0.28460428,0.24667752,0.23201464,0.23489071,0.24291694,0.24483322,0.23779042,0.2314391,0.24171335,0.27982584,0.33731404,0.38770506,0.4012413,0.37178746,0.3188368,0.2730769,0.24818726,0.23773964,0.22533076,0.2028982,0.17515709,0.15523106,0.15674031,0.18708098,0.2435019,0.308035,0.35411534,0.35851464,0.32238147,0.26828435,0.228114,0.21826361,0.23754776,0.27141604,0.30473617,0.3270335,0.33653137,0.3411516,0.35398948,0.384213,0.42517328,0.45662448,0.4570749,0.42570856,0.38136938,0.350351,0.3428907,0.35318458,0.36671484,0.37417498,0.37258005,0.36417678,0.3552023,0.35467586,0.37178752,0.4038769,0.43704256,0.44875875,0.43135357,0.391858,0.35112175,0.32049567,0.30209696,0.2891445,0.27852157,0.2700987,0.26567623,0.26604506,0.27181104,0.28435,0.3019766,0.3177751,0.31977317,0.30065638,0.26298052,0.21885918,0.18123567,0.15814109,0.1519912,0.16025104,0.17691958,0.1929604,0.20169438,0.20225035,0.20217746,0.21076465,0.23310299,0.26356003,0.29162338,0.3075135,0.30893618,0.2982761,0.2802678,0.25957724,0.24029243,0.22519325,0.21466959,0.20787121,0.20465247,0.20638585,0.21492845,0.22650827,0.23219866,0.22030579,0.18947028,0.14851491,0.11322803,0.092238404,0.085380055,0.08596239,0.08847905,0.09131261,0.09542999,0.103832155,0.12059053,0.15095086,0.19408824,0.23995614,0.27095303,0.2767429,0.26092526,0.23972361,0.22783048,0.23015197,0.24022262,0.24672417,0.24238576,0.22805512,0.2120703,0.20290308,0.20512323,0.21646619,0.2307515,0.23970874,0.23879199,0.22842531,0.21510811,0.20608778,0.20601098,0.2121924,0.21689832,0.2117331,0.19578387,0.1762044,0.16418613,0.16733158,0.18392952,0.20435393,0.21424384,0.20699628,0.18580098,0.16562475,0.15986805,0.17594421,0.20602505,0.23449504,0.24389009,0.23254798,0.21330427,0.2070546,0.22356983,0.2573498,0.2913852,0.31061473,0.31144747,0.30333206,0.2993289,0.3058733,0.31724772,0.32403317,0.31894675,0.3036151,0.2838001,0.26951465,0.270211,0.2951703,0.34375736,0.40287516,0.44644007,0.45588014,0.43082586,0.39128003,0.3566381,0.3347262,0.31963766,0.30349994,0.28172126,0.25563222,0.23053263,0.21648984,0.22615933,0.26487583,0.32073203,0.36410066,0.37029326,0.33967075,0.2983431,0.27376112,0.2744747,0.29061642,0.30776337,0.31745183,0.31960857,0.3202282,0.3292873,0.3539882,0.39271164,0.43064508,0.44730392,0.4291905,0.3825573,0.3283975,0.28874472,0.27116048,0.26976594,0.2730269,0.27263287,0.2660048,0.25712612,0.25601473,0.27496582,0.31847578,0.37384447,0.41404676,0.41457725,0.3749033,0.31719887,0.27065164,0.24879451,0.24871157,0.25890902,0.2695447,0.27577123,0.27837262,0.28534544,0.30631053,0.34439206,0.38470557,0.40330723,0.38218704,0.33459166,0.28936827,0.2724007,0.27498078,0.27426907,0.2500575,0.21142,0.1826816,0.19287872,0.24806833,0.33053088,0.39888906,0.42179048,0.390932,0.33356893,0.28863382,0.2854606,0.32364047,0.37592533,0.41243663,0.41815352,0.40235794,0.383737,0.38228217,0.40329325,0.43849564,0.46641198,0.47349188,0.45722464,0.42718527,0.3901956,0.3502958,0.31097206,0.2780479,0.25797224,0.2525927,0.25925842,0.2714392,0.2830626,0.29058298,0.29357088,0.29378477,0.2931906,0.29343212,0.2943937,0.2954968,0.2958951,0.2961639,0.2971045,0.2993041,0.30186614,0.30297336,0.30081367,0.29527438,0.29102537,0.2969254,0.3238853,0.37141916,0.42595693,0.4613903,0.46382442,0.43645123,0.40200683,0.3790228,0.37555897,0.384094,0.39265978,0.38958013,0.36992195,0.3377819,0.30583844,0.290754,0.29834333,0.31828296,0.3261074,0.30897844,0.27541903,0.25122336,0.25304627,0.2774956,0.30790994,0.3305935,0.34318283,0.3511287,0.36207712,0.38191476,0.41311416,0.4497743,0.47759888,0.47706905,0.44159904,0.38158822,0.3229287,0.2852172,0.27416918,0.28063264,0.29233387,0.30180958,0.308421,0.31741306,0.33430526,0.36367822,0.39979956,0.42957374,0.43346786,0.4075258,0.36337563,0.32543516,0.30662403,0.30549014,0.3108931,0.31510708,0.31696227,0.31773433,0.31957933,0.32511535,0.340461,0.3665185,0.39674935,0.41378835,0.40879714,0.38425818,0.35730085,0.33995733,0.336856,0.3427917,0.35177553,0.35867894,0.36105016,0.3602154,0.3611838,0.3719245,0.393706,0.41883293,0.4305977,0.42218122,0.40087953,0.38622236,0.3894061,0.40834785,0.43166783,0.45014808,0.4594965,0.4577919,0.44603273,0.43076792,0.42459252,0.4340464,0.45262754,0.46041822,0.4457741,0.4127874,0.38232055,0.37050238,0.3821467,0.40487182,0.42171097,0.41793117,0.39622054,0.37072194,0.35969746,0.36719725,0.38520944,0.39970443,0.40355024,0.4001652,0.40035284,0.41323885,0.43842947,0.46676353,0.4858251,0.48704675,0.46647954,0.42943037,0.38795218,0.3598926,0.3566835,0.37642774,0.4016199,0.40841624,0.38399613,0.33406135,0.28186807,0.25102726,0.257311,0.2972488,0.353333,0.3960334,0.40723726,0.38489878,0.34724352,0.3104249,0.2840115,0.26656643,0.25613508,0.25093377,0.25052586,0.25339675,0.25730702,0.25986603,0.26012802,0.25944734,0.26123106,0.26803485,0.27984223,0.29357585,0.30618396,0.31532606,0.32004163,0.31891587,0.31157562,0.2987126,0.28291547,0.266802,0.25247356,0.24123485,0.23378475,0.23020212,0.22915377,0.22853416,0.22628391,0.22193259,0.21711053,0.21436878,0.21583426,0.22114818,0.22860788,0.23606528,0.24294098,0.24934559,0.25518036,0.25917137,0.259388,0.25478116,0.24657072,0.23925924,0.23877878,0.24933708,0.26813677,0.28616324,0.291743,0.28062412,0.25782397,0.23688948,0.23013265,0.24274558,0.26839352,0.29299048,0.3034384,0.29550397,0.27740303,0.26317623,0.26654264,0.288772,0.319849,0.33976588,0.3383712,0.31845114,0.29833043,0.29330754,0.30918312,0.33587763,0.35664952,0.35790595,0.33970907,0.31544662,0.30260018,0.31266108,0.34263554,0.37918505,0.40281275,0.40472046,0.38753375,0.36794475,0.36102128,0.37614992,0.40730873,0.43923172,0.45406976,0.4468757,0.42555997,0.40441123,0.39073172,0.38374266,0.3785675,0.3736938,0.37431,0.38936833,0.4197953,0.45290956,0.4664568,0.4516417,0.41705593,0.38347375,0.36076033,0.34976017,0.348456,0.36369276,0.39848518,0.44342515,0.47345784,0.4715517,0.4398208,0.40048206,0.37282494,0.36355552,0.36571124,0.37035504,0.37155482,0.36870167,0.36511973,0.36802125,0.38568744,0.42065462,0.4621311,0.48759174,0.4778986,0.4341763,0.37826493,0.33604074,0.31896278,0.3209896,0.32846177,0.3312324,0.32753214,0.3220069,0.32284084,0.33808923,0.37075308,0.4132364,0.4478257,0.45710453,0.43782738,0.4035689,0.37443158,0.3623829,0.36571202,0.37467745,0.38022837,0.38106632,0.38217387,0.39046836,0.4093596,0.43601552,0.46107963,0.47181687,0.45958158,0.42851153,0.39221764,0.365384,0.35085475,0.34301493,0.33316693,0.31900907,0.3046777,0.29885456,0.3102139,0.34276357,0.39214325,0.4423468,0.47184077,0.46449637,0.42419675,0.37114072,0.3296242,0.3104439,0.31045946,0.31873903,0.32639074,0.3302618,0.3336489,0.34375846,0.36728445,0.40404907,0.44312158,0.4663447,0.46003297,0.42815378,0.38934454,0.3636191,0.3557866,0.35732305,0.35539198,0.34352982,0.32330334,0.3020942,0.29080197,0.29881886,0.33114254,0.37885562,0.42323908,0.4399188,0.4215101,0.3785386,0.33931196,0.32645905,0.34958187,0.39470136,0.4360734,0.4482242,0.4284946,0.39519772,0.37540963,0.38058615,0.4033588,0.4259515,0.43668437,0.43689397,0.43789044,0.44965634,0.47394884,0.5007892,0.517987,0.51475245,0.4913071,0.45624295,0.4260687,0.41478333,0.428575,0.4591041,0.48910245,0.4982662,0.48078647,0.44468954,0.40968457,0.38785014,0.3821397,0.3856773,0.3915086,0.39438286,0.39283678,0.389775,0.39175054,0.40700832,0.4354532,0.46719012,0.4835045,0.4753747,0.44672653,0.41388142,0.38780752,0.3708545,0.3575585,0.34409901,0.33075532,0.32076207,0.31806836,0.32593617,0.34885654,0.3852851,0.42634085,0.45317975,0.45647803,0.44066885,0.42393997,0.41540602,0.4102073,0.39556387,0.36856177,0.34111407,0.33088958,0.34630308,0.38044345,0.41689894,0.44165888,0.44946504,0.44267654,0.42805055,0.41240665,0.4016914,0.39735904,0.397653,0.39853755,0.39691317,0.39140925,0.38217446,0.37273514,0.36952594,0.3817209,0.4090015,0.4388051,0.44664678,0.42070627,0.36898088,0.32093778,0.30143407,0.32130554,0.36589622,0.41034326,0.42820778,0.41566363,0.38631335,0.36440587,0.3603973,0.37087166,0.38311183,0.38929316,0.3912625,0.39888945,0.4187603,0.44675198,0.46705446,0.46854237,0.45017445,0.42323056,0.39648807,0.37695217,0.3683248,0.37797818,0.4057959,0.4427121,0.46821287,0.4712851,0.45513523,0.43690273,0.4274975,0.42657265,0.42602804,0.42065275,0.41107652,0.40173057,0.39740863,0.40147874,0.41300926,0.426772,0.434768,0.43146977,0.41721222,0.3985136,0.38338318,0.37689865,0.37840238,0.38432577,0.3896475,0.39117882,0.38777447,0.38411987,0.38902596,0.41250697,0.45312086,0.49520007,0.51275235,0.49147585,0.43783677,0.37574956,0.32577148,0.2950625,0.2792188,0.27178505,0.2686759,0.26774135,0.2676151,0.26736876,0.26548526,0.25907236,0.24426752,0.2196498,0.1893488,0.16406243,0.15710239,0.17637217,0.21831918,0.2674705,0.30682898,0.32671753,0.32999146,0.32402363,0.31458572,0.3004741,0.28003567,0.25462875,0.2331325,0.22297509,0.22611429,0.23417194,0.23888032,0.23610334,0.2293549,0.22227661,0.21658762,0.2121013,0.21014501,0.2139194,0.22442667,0.23870124,0.2497118,0.2528818,0.24753301,0.23739797,0.22519495,0.21212085,0.19806115,0.18479455,0.17636897,0.17674053,0.18661557,0.20186798,0.21641268,0.22585516,0.23078133,0.23695208,0.2521901,0.27738395,0.30315474,0.31217062,0.29630947,0.25905102,0.21505217,0.17469062,0.14537157,0.12988806,0.1295581,0.14072184,0.15635912,0.17308547,0.19378524,0.22599487,0.2677996,0.30691507,0.3235632,0.31172836,0.2797111,0.24724656,0.22537738,0.21596546,0.21357876,0.21586883,0.2228806,0.23537411,0.2526752,0.27491936,0.3041487,0.3398198,0.37456632,0.39492318,0.3930725,0.37339482,0.3516538,0.34205082,0.3507625,0.37111795,0.39067948,0.39503273,0.3809365,0.35511085,0.3336697,0.3273581,0.3387915,0.35727856,0.367754,0.35698882,0.32696423,0.29225028,0.27390885,0.28285134,0.315302,0.3528991,0.37463033,0.36958292,0.3435168,0.31555703,0.30438814,0.32104424,0.35995698,0.4046587,0.4304978,0.42520455,0.3925809,0.35504985,0.33419856,0.3409809,0.36703196,0.39263168,0.3989497,0.38224712,0.35526058,0.33731845,0.3416222,0.3651028,0.39298037,0.40409446,0.39113688,0.36050725,0.33307934,0.3233039,0.33560076,0.3584243,0.3755289,0.37322697,0.35172644,0.3238914,0.3081262,0.31733915,0.3500215,0.3922405,0.42205378,0.4279677,0.4117308,0.39013556,0.37703285,0.38002884,0.39372206,0.4085674,0.4126105,0.40308264,0.38539886,0.3728136,0.37546825,0.39518437,0.42398655,0.44826797,0.45946595,0.45694518,0.4502393,0.44880632,0.45929787,0.47760427,0.49365345,0.49409422,0.47636974,0.44955924,0.43137053,0.43379578,0.4548998,0.48032784,0.4911696,0.47996548,0.45201436,0.4244924,0.41037226,0.41583237,0.43360806,0.45197034,0.45677269,0.44579586,0.42645243,0.41476718,0.42087087,0.44459677,0.47461525,0.4954002,0.49868074,0.48687217,0.47259113,0.4666017,0.47242776,0.48322812,0.48849818,0.48084578,0.46262535,0.44423914,0.4369496,0.44506073,0.46157336,0.47385034,0.4714874,0.45782515,0.44717613,0.45259723,0.47378802,0.4966941,0.5078945,0.5009505,0.48039266,0.45587158,0.44042334,0.44268885,0.4641659,0.49577436,0.52382326,0.5311138,0.5083755,0.45817748,0.39775637,0.34517768,0.31014287,0.29166576,0.28542492,0.28595066,0.2863237,0.2789111,0.26452404,0.2570952,0.27721974,0.33130667,0.40193173,0.45658275,0.47643518,0.4662298,0.44826058,0.43881917,0.44198313,0.45085183,0.45764863,0.4580797,0.45247877,0.44596386,0.44524407,0.4572463,0.47952032,0.50031745,0.50106,0.47586825,0.43430352,0.39731196,0.3775718,0.37533912,0.38107356,0.38496622,0.3809624,0.3671571,0.3464899,0.32680514,0.32190025,0.3403603,0.37870553,0.41489983,0.42989945,0.4181393,0.3960968,0.3814248,0.38271472,0.39391437,0.4040117,0.40614069,0.40002382,0.39264035,0.39168188,0.40355572,0.42320034,0.43749067,0.42939988,0.39837515,0.35902023,0.33479998,0.33590436,0.35623574,0.37838826,0.38761607,0.3810471,0.36651972,0.35839966,0.36714157,0.3976424,0.44226816,0.4865867,0.51101786,0.5086135,0.4843681,0.45505336,0.43170357,0.41663337,0.40347913,0.38642797,0.36685386,0.35291898,0.35414842,0.37332913,0.40525505,0.43786037,0.45760754,0.45270887,0.4238837,0.3837438,0.35325575,0.34336594,0.34968114,0.3557028,0.349455,0.3358927,0.3345828,0.36032715,0.40654257,0.44506285,0.4531503,0.4285009,0.39361975,0.37204683,0.37832412,0.40623114,0.43972838,0.4564291,0.44721493,0.41353026,0.3713677,0.33336833,0.31185138,0.3115628,0.33612785,0.3770585,0.41776597,0.43812057,0.43582997,0.42686233,0.43101645,0.45003784,0.46340546,0.45204982,0.41100195,0.3591729,0.3168522,0.3021338,0.31749472,0.35984686,0.4136437,0.46081123,0.48107028,0.47042415,0.43932477,0.40961125,0.394588,0.39314738,0.3923616,0.3798704,0.35472608,0.32683444,0.3116744,0.3193003,0.35123953,0.3946497,0.42983428,0.43660232,0.4155526,0.38369298,0.3662804,0.37111583,0.38883683,0.40074793,0.39531884,0.37453982,0.3489603,0.33269513,0.33435324,0.35931656,0.40156186,0.44789395,0.47631362,0.47748837,0.45626605,0.4329835,0.42146793,0.42517105,0.4357793,0.4434909,0.44182882,0.43091682,0.41814455,0.4139849,0.42724895,0.45495892,0.4834535,0.49199903,0.47241393,0.43188873,0.39151457,0.3672379,0.36303937,0.3708749,0.37812057,0.37730774,0.3670015,0.35497496,0.35000172,0.36187938,0.39052427,0.4273126,0.45210943,0.45114228,0.42414603,0.38986406,0.36877677,0.3703008,0.38610014,0.3994136,0.39917108,0.3875176,0.37796685,0.38246205,0.40466022,0.43324336,0.4520533,0.4454352,0.4156668,0.3791213,0.35859588,0.36248922,0.380403,0.39341822,0.38875505,0.36911464,0.34672558,0.3354483,0.34233043,0.36677158,0.40132543,0.4343231,0.45166972,0.44547376,0.4187274,0.3867683,0.367206,0.37049925,0.39405945,0.42289463,0.4397762,0.4354066,0.41546318,0.39303485,0.37888274,0.37255582,0.36619273,0.35255006,0.3365306,0.33485866,0.3607473,0.40903914,0.4525354,0.46762052,0.44793966,0.4112271,0.37664363,0.35767496,0.35661182,0.3736817,0.40434214,0.43785092,0.45782968,0.45353794,0.4289645,0.4003067,0.3834674,0.384082,0.3962449,0.40945685,0.4137032,0.4065992,0.39250183,0.38275817,0.3875527,0.41193852,0.44804144,0.47925314,0.48812237,0.47241238,0.4440093,0.4211844,0.41292143,0.4174323,0.42533705,0.42708242,0.4179957,0.39978984,0.38134697,0.373366,0.38452438,0.41099742,0.4381038,0.44451138,0.42300153,0.38270712,0.3468307,0.33222792,0.34274724,0.36730242,0.38910377,0.39654532,0.38809597,0.3741444,0.36739329,0.37903416,0.40659773,0.43776777,0.45192698,0.44240966,0.41686666,0.39586595,0.39033744,0.39835492,0.4072895,0.406521,0.39419916,0.37572765,0.36152402,0.36026502,0.37931406,0.4162548,0.4600983,0.49038807,0.49549726,0.47711155,0.45211363,0.4347948,0.4296819,0.43002272,0.42669296,0.41684785,0.40498063,0.4009397,0.41138962,0.43778345,0.4711075,0.49710214,0.49931967,0.47468936,0.43372175,0.39809656,0.38189265,0.38530067,0.39437354,0.39251402,0.37133905,0.33429956,0.29560444,0.27188715,0.27785102,0.31540143,0.3707124,0.41656193,0.43324265,0.42203388,0.40350935,0.39771947,0.40967476,0.42833057,0.43826237,0.42912766,0.4058722,0.38058022,0.36861265,0.37380075,0.39433622,0.4198725,0.44007352,0.44592953,0.43891868,0.42812455,0.42470065,0.432122,0.44543645,0.4536672,0.44686887,0.4254839,0.40243635,0.3955793,0.413717,0.44912592,0.48484936,0.5018502,0.49234655,0.45903823,0.41544572,0.37305713,0.3369536,0.30489424,0.274184,0.2449954,0.22073853,0.20611085,0.20447229,0.2151957,0.23251384,0.24888854,0.25891495,0.26207945,0.26057947,0.2568306,0.25152168,0.24434991,0.23542178,0.2248686,0.21286087,0.19943245,0.18834485,0.18571599,0.19706042,0.22002245,0.2463098,0.26632795,0.27681696,0.28045923,0.28329632,0.28937122,0.2999187,0.31339863,0.32791874,0.34105173,0.3524703,0.36428002,0.38221988,0.40667605,0.43259344,0.4478673,0.44741246,0.43240535,0.41455865,0.4069318,0.4162626,0.4348035,0.4413142,0.4220924,0.38001308,0.33726415,0.3140252,0.32312104,0.36083674,0.4161828,0.46877113,0.5032771,0.5075204,0.48133722,0.431471,0.37688303,0.34016263,0.33957127,0.373871,0.42407444,0.4611632,0.46885622,0.44851816,0.419801,0.401997,0.40612268,0.42633566,0.4473387,0.45300052,0.44020844,0.41940263,0.40747258,0.41528988,0.4397546,0.46642885,0.47544745,0.45817432,0.4199715,0.3809029,0.35928676,0.36472067,0.38889134,0.41199005,0.41177276,0.3819047,0.3334506,0.287382,0.25590396,0.23991185,0.23251493,0.22909822,0.22836064,0.23086746,0.23559523,0.23927416,0.23884143,0.23448569,0.23143303,0.23516977,0.2468337,0.26050928,0.26940343,0.2702891,0.26560643,0.2581263,0.24837352,0.23420914,0.2148931,0.1946546,0.18322606,0.19371742,0.23238759,0.29276326,0.35274354,0.38996318,0.3945992,0.37706825,0.35653353,0.34790552,0.3520323,0.359212,0.35674202,0.3403873,0.3165696,0.3002738,0.304774,0.33360684,0.37457645,0.4048225,0.40472206,0.37394515,0.33126032,0.30120233,0.29618517,0.31128737,0.3309314,0.3393781,0.3323116,0.31634387,0.3071661,0.31753716,0.35260463,0.40131667,0.4426265,0.45475852,0.43503138,0.3987021,0.37014225,0.361757,0.3704137,0.38126525,0.3809843,0.3674159,0.35059083,0.34479988,0.3577434,0.38466275,0.41164902,0.42197594,0.40699568,0.3724543,0.33624735,0.31665292,0.32057866,0.34089923,0.363741,0.3750428,0.37001026,0.35233882,0.33616555,0.33547997,0.35803863,0.3958225,0.4299449,0.4418743,0.42860976,0.40294984,0.38277343,0.3772962,0.3836337,0.39279756,0.39642748,0.39297485,0.38619182,0.38441458,0.39452732,0.41873178,0.4496232,0.47348166,0.4784291,0.46516454,0.44577965,0.43492582,0.43823597,0.4508176,0.462381,0.46466926,0.45703045,0.44565794,0.44093502,0.45021805,0.47325984,0.49972668,0.51556283,0.51329535,0.49897397,0.4863604,0.48576942,0.4974376,0.5130436,0.52302384,0.51941127,0.5044216,0.48635367,0.4798645,0.49173674,0.5205395,0.5526033,0.5714085,0.56598634,0.5397284,0.5086877,0.48907816,0.48737,0.49674296,0.5057537,0.50482666,0.49317682,0.4766744,0.46549788,0.46706164,0.4799305,0.49342844,0.4924439,0.47209713,0.43908465,0.40867057,0.38938925,0.3813553,0.37657443,0.36703387,0.34802446,0.32236162,0.29912487,0.29038322,0.30476072,0.3426663,0.3920422,0.432151,0.44368783,0.4232817,0.38474095,0.34993508,0.3336207,0.33629143,0.34756795,0.3532618,0.34773397,0.33457565,0.3271306,0.3365785,0.36747158,0.40925947,0.44231316,0.44706693,0.42115423,0.37958714,0.3458983,0.33500597,0.34675023,0.36912608,0.3864986,0.39135194,0.38535264,0.37975845,0.38480774,0.40661943,0.43877533,0.46710244,0.47495702,0.45954332,0.43131506,0.40837324,0.4000639,0.40416035,0.41048345,0.4117229,0.41068518,0.41715467,0.4350237,0.4541742,0.45511803,0.43035674,0.3885648,0.35021582,0.32654056,0.3197997,0.32488537,0.33979133,0.36029288,0.38007727,0.3885012,0.38149866,0.3628476,0.34664166,0.34598538,0.36802122,0.40319416,0.4332603,0.44121054,0.43225732,0.4245865,0.43372068,0.45145962,0.4566219,0.4350961,0.3933839,0.3550093,0.34232116,0.36133614,0.3971437,0.4220432,0.41897008,0.38738993,0.34720257,0.31859627,0.31364986,0.3267525,0.3413676,0.34437826,0.33415213,0.32210335,0.31869975,0.32821822,0.34553447,0.3632827,0.37471318,0.37623987,0.36666927,0.34878615,0.3302465,0.31898645,0.31874862,0.32612982,0.33741906,0.34993896,0.36330128,0.37680408,0.39261103,0.41054308,0.42695716,0.43056652,0.41757593,0.39060208,0.3622769,0.33865282,0.32138225,0.30415663,0.2813822,0.2493735,0.21044217,0.17063119,0.13725396,0.114913315,0.104891784,0.104735255,0.10999479,0.11569131,0.118768334,0.11902073,0.11898595,0.12192047,0.12971926,0.14106631,0.15224071,0.1592368,0.16062482,0.15832609,0.15687235,0.16216852,0.17970067,0.21203004,0.25296903,0.2893524,0.30745423,0.30801216,0.30384734,0.31005326,0.32741407,0.34519124,0.35124457,0.34293297,0.3279051,0.3195907,0.32909107,0.35722932,0.3924326,0.41633192,0.41554967,0.38791755,0.34736988,0.31735626,0.3163285,0.34447017,0.38011488,0.40106913,0.39434883,0.36780262,0.3382205,0.32578126,0.33734825,0.36454436,0.39174697,0.4121337,0.42854694,0.44420692,0.455278,0.45704448,0.450628,0.44296953,0.43961415,0.44017276,0.4393445,0.4333712,0.42386058,0.4166901,0.41553643,0.41712236,0.41029894,0.38315785,0.33380994,0.28040877,0.25190234,0.26695523,0.31502524,0.36549106,0.39277658,0.39357236,0.3830684,0.3775181,0.3854971,0.4030184,0.42137673,0.43090644,0.43094704,0.4246072,0.41561547,0.40372548,0.39036688,0.38072228,0.37894177,0.3844144,0.39133966,0.3955241,0.39561847,0.39305338,0.38800588,0.37725508,0.3538109,0.3108324,0.24842374,0.17645197,0.11041748,0.062047202,0.033837795,0.020481294,0.014845393,0.012086715,0.010277581,0.008934706,0.0079371175,0.007146249,0.0064506195,0.0057854895,0.0051409435,0.004538655,0.003998569,0.0035196308,0.003091749,0.0027115308,0.002390404,0.002131157,0.0019197717,0.001721689,0.001510731,0.0012815587,0.001054533,0.00085221697,0.0006863149,0.00055317074,0.00044527868,0.00035662003,0.00028476628,0.00022751217,0.00018322519,0.00015050206,0.00012947914,0.000120809804]