[0.12205536,0.13656954,0.16437036,0.19005536,0.20190269,0.19750609,0.18286644,0.16596955,0.15341972,0.14988875,0.15928675,0.1823172,0.21380584,0.24280812,0.2593567,0.2603754,0.2518412,0.24241863,0.23789258,0.23761974,0.23760475,0.23429239,0.22815688,0.2241771,0.2284041,0.24315958,0.26311705,0.27870587,0.28227997,0.27406198,0.25977433,0.245367,0.23266798,0.22181301,0.21462642,0.21486695,0.2234395,0.23592246,0.2455806,0.24963713,0.2511135,0.25496042,0.26314396,0.2734714,0.2821466,0.28621617,0.28434238,0.27625427,0.2625344,0.24494465,0.22654398,0.21070272,0.19959469,0.19320023,0.19023395,0.18957531,0.19140291,0.19615054,0.20339544,0.21141434,0.21870525,0.22515239,0.23158972,0.23829454,0.2438466,0.24620497,0.2442206,0.23939884,0.23519515,0.23520036,0.23998062,0.24699062,0.25249466,0.25529933,0.25669077,0.25852025,0.2605324,0.26138917,0.2608322,0.2607931,0.26384997,0.27060318,0.2793728,0.28729156,0.29269075,0.29540682,0.2956789,0.29267967,0.2834275,0.2654139,0.23874068,0.20927365,0.18534172,0.1738947,0.17537034,0.18531847,0.19730711,0.2071511,0.21235257,0.21207476,0.20625769,0.19725989,0.18854593,0.18288653,0.17979927,0.17682767,0.17193805,0.16569535,0.15964307,0.15509672,0.15273014,0.15559168,0.16837628,0.19430888,0.22988303,0.2659423,0.29266205,0.30504075,0.30350682,0.29164645,0.27384698,0.25400233,0.23573422,0.22285788,0.2190714,0.22474341,0.23481993,0.24087216,0.23784338,0.22728455,0.21510243,0.20536505,0.19835155,0.19200325,0.18545394,0.1798271,0.17795259,0.18262254,0.19538303,0.21479107,0.23642313,0.25402442,0.2629621,0.26211107,0.25435793,0.24382247,0.23417385,0.22735398,0.22460014,0.22629483,0.23196417,0.2398669,0.24783611,0.2540213,0.25708452,0.2559052,0.25013885,0.24102014,0.231649,0.22507162,0.22277398,0.2241177,0.2279547,0.23358269,0.24052495,0.24748378,0.25175,0.25057352,0.24300599,0.23137148,0.21991666,0.21209095,0.20855056,0.20747764,0.20677851,0.20487203,0.2007156,0.19245352,0.17891014,0.16160785,0.14639588,0.14044122,0.14723808,0.16402978,0.1838754,0.2004525,0.21048276,0.21333897,0.20929474,0.19886492,0.18422109,0.16960649,0.16060913,0.1604772,0.16864653,0.18115066,0.19386691,0.20376474,0.20862944,0.2059233,0.19432956,0.17603725,0.15790223,0.14776379,0.14991434,0.16225745,0.17887722,0.19395,0.20509297,0.21359663,0.22335763,0.23748262,0.255604,0.27255997,0.2830188,0.285668,0.28518066,0.28657743,0.29087612,0.29352692,0.28913638,0.2752571,0.25444403,0.23295605,0.21853589,0.21752702,0.23130405,0.25497591,0.27892348,0.29488885,0.29999343,0.29729939,0.2911999,0.28405043,0.27556762,0.26505932,0.25316915,0.24159671,0.23181559,0.22350998,0.21511632,0.20537524,0.19555272,0.1893102,0.19074996,0.20196615,0.22162266,0.24530162,0.26659513,0.27951738,0.28147233,0.2744849,0.26442233,0.25653708,0.25328752,0.2531604,0.25387964,0.25384513,0.2532313,0.25252786,0.25203243,0.2515574,0.25083902,0.2494564,0.2470463,0.24325897,0.23849536,0.23339403,0.22920124,0.22605312,0.22356783,0.22051466,0.21748294,0.21584044,0.2157162,0.2128217,0.20102555,0.17821749,0.1499177,0.12583624,0.11278009,0.110785164,0.11512556,0.12070113,0.12491932,0.12722547,0.12775296,0.12603268,0.12162986,0.11474479,0.10744902,0.1025712,0.10256504,0.1072099,0.114465006,0.1216503,0.12740041,0.13111235,0.1323468,0.13054504,0.12599947,0.12031286,0.11606314,0.115148,0.11802971,0.12325414,0.12894207,0.13322516,0.13515727,0.1338827,0.12905349,0.1210478,0.11229678,0.10635469,0.10596488,0.11044526,0.11670887,0.12165298,0.124613166,0.12624608,0.12695108,0.12586682,0.122257344,0.11670179,0.11168486,0.10997045,0.11300782,0.11953016,0.12693919,0.1327249,0.13591032,0.13624033,0.13370806,0.12848608,0.12174358,0.11577967,0.11278761,0.113550246,0.11699762,0.121457376,0.12573896,0.12924379,0.13125835,0.13078395,0.12740086,0.12228758,0.1179877,0.11710902,0.12046915,0.12694444,0.13415349,0.14008264,0.143435,0.14368142,0.14047487,0.13400981,0.12550639,0.11776758,0.11373966,0.1147679,0.1191231,0.12377115,0.12625885,0.12618318,0.124252595,0.12255465,0.12590952,0.14241724,0.17850624,0.23141046,0.286221,0.32434556,0.33575633,0.3253832,0.30684268,0.292267,0.28561234,0.28432417,0.28417882,0.2831426,0.2810382,0.27752432,0.27126566,0.2614855,0.2493404,0.23729396,0.22686845,0.21751451,0.20752363,0.19628477,0.1864254,0.18307257,0.19182223,0.213176,0.24111867,0.26325703,0.26905072,0.25482634,0.22690432,0.19622093,0.17338073,0.16467571,0.17157875,0.19057684,0.2142272,0.2340466,0.24494807,0.24703895,0.24411406,0.23991315,0.2365731,0.23512971,0.23687781,0.24308561,0.25373027,0.26608714,0.27592358,0.27980176,0.27774945,0.27250323,0.26716638,0.26299906,0.25945333,0.25584435,0.2519773,0.24839206,0.245434,0.24358284,0.24314864,0.24438103,0.24660897,0.24887829,0.25024197,0.25088313,0.25075364,0.25002286,0.24840774,0.24689162,0.2461654,0.24671866,0.24781907,0.24913485,0.25057027,0.25198704,0.25241747,0.250452,0.24576008,0.23953237,0.23421286,0.23128195,0.2301846,0.22897945,0.22612488,0.22262204,0.21997713,0.21973586,0.2205717,0.22189729,0.22356264,0.22816841,0.2366094,0.24740279,0.2562965,0.26023248,0.25980842,0.25802925,0.257642,0.2573913,0.25337157,0.24117865,0.22079097,0.1967075,0.17602642,0.16347529,0.15977609,0.16246802,0.16878478,0.17788301,0.19104077,0.21069865,0.236602,0.2641418,0.2846429,0.29130846,0.28298736,0.26488087,0.24363627,0.22373022,0.20632583,0.1914456,0.18005998,0.17428476,0.17600852,0.18489377,0.19945945,0.2183807,0.24118833,0.26496044,0.28320467,0.2888814,0.2803227,0.26349965,0.24708618,0.23647773,0.23082016,0.22635047,0.22035967,0.21294056,0.2063486,0.20244211,0.20168258,0.20223929,0.20284118,0.2054559,0.2160003,0.23873518,0.27012682,0.29852614,0.31307635,0.3117514,0.30221093,0.2931918,0.28856447,0.28588304,0.28175393,0.2746136,0.2664273,0.25991926,0.25715724,0.25778314,0.26038304,0.26318642,0.26516995,0.26551563,0.26346973,0.25855967,0.25105497,0.24270642,0.23586152,0.23266335,0.23300053,0.234703,0.23432331,0.23022611,0.22415793,0.22168534,0.2285928,0.24706618,0.2726861,0.29730108,0.31329724,0.31772697,0.311366,0.297274,0.279112,0.26064935,0.24480398,0.23358561,0.22999291,0.2374308,0.25746915,0.28502798,0.31115237,0.32643285,0.32741114,0.31505105,0.29482338,0.27274308,0.25440803,0.24200898,0.23534243,0.23295237,0.2336817,0.23608632,0.23855288,0.24003677,0.240493,0.23968565,0.23585619,0.22656824,0.2116015,0.19559829,0.18696271,0.1929856,0.21376048,0.24129772,0.26407096,0.27502725,0.27418733,0.26640674,0.25591233,0.2451395,0.23635046,0.23326671,0.2391197,0.2532698,0.2704562,0.2835394,0.2876371,0.28240478,0.27153385,0.26065052,0.25425753,0.2541039,0.2588086,0.26554564,0.27157387,0.2753569,0.27666053,0.2766986,0.27652767,0.2763863,0.27307868,0.26298293,0.24309318,0.21585995,0.18636955,0.16089801,0.14265728,0.13212918,0.12777483,0.12703335,0.12739946,0.1266783,0.124099694,0.12006119,0.11583642,0.112858474,0.11220648,0.114629425,0.12019547,0.12831786,0.13745755,0.14551711,0.15043072,0.15128474,0.14905049,0.14607926,0.1445989,0.14535685,0.14798869,0.1517113,0.15578176,0.1589036,0.1594453,0.15610117,0.14900114,0.13992397,0.13164292,0.12646514,0.12529759,0.12774427,0.13303447,0.14035,0.14863935,0.15629636,0.16148905,0.16273327,0.15958278,0.15314142,0.14581525,0.14049818,0.13902046,0.14174455,0.1472394,0.1533661,0.15734725,0.15710467,0.15167701,0.14279287,0.1337233,0.12810437,0.12713301,0.13017105,0.1352593,0.14105375,0.14633177,0.1500823,0.15134884,0.14970492,0.14593524,0.14137936,0.13786453,0.13609241,0.13643885,0.13854064,0.14231233,0.14695804,0.15104587,0.15264429,0.15026128,0.14396393,0.13529883,0.12716089,0.12217179,0.12229276,0.12765476,0.1370983,0.14802313,0.15777917,0.16407727,0.16581194,0.16312987,0.15739036,0.1503584,0.1428768,0.1348847,0.12661907,0.119813,0.11667546,0.117757134,0.121226214,0.12432852,0.12565744,0.12587152,0.12669541,0.12941922,0.13424583,0.14076696,0.14843552,0.15643443,0.16342838,0.1678914,0.16930832,0.16850342,0.1672465,0.16645145,0.16582894,0.16418026,0.16122597,0.15753375,0.1533695,0.14858402,0.14489251,0.14947635,0.17106867,0.21275067,0.26530746,0.31362107,0.34666216,0.36388043,0.37047672,0.37105593,0.36679605,0.3573343,0.3424268,0.32411525,0.30699965,0.2967489,0.29543814,0.30018374,0.3064289,0.3118678,0.31562474,0.31497052,0.3055745,0.28640544,0.2616733,0.23933013,0.22598611,0.22601603,0.23935825,0.26182973,0.2847917,0.3005583,0.30573615,0.30245206,0.29408622,0.28327617,0.27299973,0.2686952,0.27747497,0.30177188,0.3365177,0.36965826,0.39163518,0.40011382,0.40117967,0.401745,0.40438604,0.40659478,0.40492263,0.39942217,0.39268574,0.38792965,0.38571164,0.3860688,0.38827527,0.39261496,0.39707395,0.39891008,0.3942823,0.38273716,0.3662846,0.34929848,0.33366928,0.32006562,0.30746138,0.29731295,0.29066658,0.28968206,0.29496738,0.30719694,0.3240638,0.34142038,0.3550935,0.36460376,0.3720608,0.37877047,0.38338497,0.38387254,0.38043943,0.37438515,0.36612454,0.35477614,0.34192434,0.33399102,0.33824834,0.35676458,0.382449,0.40476307,0.41592625,0.4146049,0.40329638,0.38545227,0.36531016,0.34750116,0.3365375,0.3332655,0.3354456,0.3384011,0.33961454,0.33782148,0.3339357,0.3278643,0.321542,0.31714258,0.31849417,0.32566205,0.33685127,0.34689197,0.35370386,0.35628796,0.3574581,0.35756302,0.35658798,0.352507,0.34728873,0.34497154,0.3502274,0.362326,0.3762884,0.38503084,0.38480315,0.37540182,0.3599721,0.3413043,0.3213733,0.30164024,0.2854977,0.27734327,0.27949283,0.28950873,0.30158445,0.31022358,0.31289828,0.30973935,0.30275378,0.29436973,0.28733543,0.28351974,0.28418294,0.28937832,0.2975318,0.30524758,0.30841792,0.30552077,0.29884148,0.29353306,0.29351377,0.29975745,0.311245,0.32765475,0.3493019,0.37504223,0.4005151,0.41992816,0.42886886,0.4262497,0.41390255,0.395103,0.37411544,0.35498384,0.34253693,0.34011653,0.34944186,0.36716175,0.38700482,0.4011997,0.4052072,0.39790425,0.38164672,0.36063388,0.3405223,0.32673404,0.32227528,0.3265088,0.3364066,0.34891477,0.36222506,0.37531126,0.3870772,0.3957671,0.39898178,0.39453554,0.38231632,0.3658326,0.3508717,0.3418119,0.33863735,0.33802655,0.3370802,0.33545795,0.33471158,0.3358461,0.33913183,0.34412512,0.3501626,0.3551564,0.35629728,0.35213205,0.34463033,0.3379933,0.3345878,0.3324803,0.32805833,0.32025054,0.31307375,0.31073,0.31466365,0.3215235,0.32826176,0.33338836,0.33731768,0.34004664,0.3411354,0.34068206,0.33903202,0.33615467,0.3316231,0.32574633,0.32130125,0.3213967,0.32744402,0.3361961,0.3432124,0.3459262,0.34608135,0.34649047,0.34833443,0.3504292,0.350678,0.34773186,0.34129477,0.33333883,0.32718548,0.32601497,0.3297278,0.33530322,0.33905125,0.34005356,0.33978644,0.34086272,0.34393606,0.34854105,0.3525772,0.35513756,0.3555819,0.3548577,0.3530989,0.35026944,0.3457159,0.34053746,0.33717528,0.33833042,0.3442236,0.3531561,0.36312842,0.37386432,0.38531783,0.396219,0.40345153,0.40452313,0.3992952,0.390169,0.37994254,0.3702091,0.36141968,0.35381737,0.3476253,0.34190682,0.33442962,0.32316163,0.30827305,0.2924317,0.27887753,0.2705411,0.2694503,0.2780131,0.29641855,0.32191172,0.34718537,0.36551654,0.3731964,0.37207624,0.3657439,0.35800445,0.35115924,0.3468859,0.3448118,0.34225285,0.33496237,0.32105693,0.30254832,0.28455973,0.2721397,0.26899406,0.27791095,0.2983795,0.32604447,0.35143462,0.36751986,0.37117004,0.36575064,0.35465547,0.34125778,0.3265618,0.311864,0.29807833,0.28705287,0.28011295,0.27772498,0.27858207,0.28127715,0.2847843,0.28920805,0.2947105,0.3016597,0.31014732,0.32003188,0.33071327,0.34075224,0.34836876,0.35179487,0.3509512,0.34714487,0.34252405,0.33808455,0.33360934,0.32818854,0.32183835,0.3156234,0.31101307,0.30845514,0.307314,0.30654803,0.30554077,0.3042756,0.30304387,0.3023521,0.3020255,0.30099788,0.29743508,0.29052857,0.2805574,0.26837465,0.2535633,0.23546702,0.21407475,0.19191164,0.17300515,0.16216545,0.16271959,0.17509592,0.19593018,0.21943788,0.24042648,0.25642478,0.26723835,0.27322462,0.27379417,0.26901683,0.26083934,0.2550161,0.2577195,0.27174103,0.29123285,0.3058641,0.30653247,0.29374087,0.27352163,0.25439292,0.24034332,0.23462848,0.23840462,0.25222793,0.2724841,0.29375648,0.31121644,0.32322416,0.33051157,0.33447197,0.33597127,0.33533883,0.33239594,0.32774147,0.32321158,0.32185432,0.32478204,0.32988808,0.33261177,0.33045653,0.32403886,0.31576398,0.30628467,0.29573625,0.28607607,0.28293145,0.29190886,0.31391633,0.34290043,0.36883017,0.38451722,0.38891825,0.3871195,0.3835291,0.37940213,0.37201175,0.36045063,0.34686518,0.33515874,0.3255355,0.31408635,0.29688737,0.27531645,0.25550035,0.24329399,0.24046014,0.24551813,0.25696996,0.27426505,0.29679286,0.3219167,0.3452654,0.36178687,0.3679528,0.3620436,0.34473482,0.31894827,0.2910618,0.269325,0.26120523,0.26941025,0.29077327,0.31668815,0.3360621,0.34056088,0.33066115,0.31755337,0.3162855,0.3343731,0.3657508,0.395504,0.4117781,0.41229644,0.40301433,0.39048052,0.37780187,0.3647696,0.35060462,0.33580723,0.32216004,0.31293106,0.3110088,0.3168275,0.32566378,0.3305608,0.32759872,0.32007337,0.31528443,0.3178725,0.32677814,0.33760515,0.34744766,0.3558265,0.36252668,0.36615634,0.36437532,0.35748753,0.34814033,0.3401611,0.33311483,0.32212606,0.3013322,0.27223453,0.24567491,0.23646201,0.25161007,0.2858051,0.32519975,0.35862938,0.38259986,0.40011004,0.4123348,0.4166632,0.40796438,0.3876557,0.36297396,0.34484684,0.33710647,0.33755413,0.33991763,0.3422861,0.3460442,0.35325527,0.36162654,0.36583963,0.36217856,0.35232708,0.3421924,0.33567736,0.33223104,0.32819524,0.3235779,0.32224748,0.32964095,0.34653926,0.36882874,0.39023396,0.40510044,0.41127726,0.40795934,0.39853454,0.38660666,0.3774384,0.37275752,0.37254322,0.37431967,0.37572107,0.37573585,0.3747754,0.37493935,0.377444,0.3823119,0.3878945,0.39233506,0.3942139,0.39195845,0.38456067,0.37185273,0.35647845,0.34237885,0.33380464,0.33190957,0.33523998,0.33965933,0.34210825,0.3408366,0.33599937,0.32747388,0.31535116,0.3015424,0.2900293,0.28620395,0.29263258,0.3085761,0.32854792,0.34649804,0.3576851,0.3619912,0.3617451,0.36005914,0.35845205,0.35756826,0.3568591,0.35563913,0.35334137,0.35268605,0.35762286,0.37078014,0.38726684,0.39778128,0.39387473,0.37604728,0.35288095,0.33634934,0.33403197,0.34578767,0.36412787,0.37988397,0.38706735,0.38572657,0.3787329,0.36929515,0.3592136,0.3506566,0.34609017,0.34767744,0.3549811,0.36481234,0.3710567,0.3687619,0.3560001,0.33672974,0.3166673,0.30168533,0.2951566,0.29917946,0.31323245,0.33333936,0.353699,0.36940148,0.37919387,0.38277307,0.38057697,0.37252653,0.36202085,0.35392854,0.35394415,0.36284807,0.37739587,0.390841,0.39775333,0.3949815,0.3827659,0.3641794,0.34413418,0.32797837,0.31905758,0.31920645,0.3279433,0.34358713,0.36249542,0.38123378,0.39749143,0.4103601,0.4190574,0.42224059,0.41907632,0.40995288,0.397005,0.38336387,0.3724245,0.3666298,0.36641026,0.37005553,0.37438858,0.3764911,0.37440205,0.36756733,0.3561571,0.3421097,0.32920656,0.3224218,0.3239596,0.3317146,0.34020707,0.3452673,0.34566832,0.34292635,0.33866313,0.3343747,0.3312684,0.3307195,0.33263525,0.33527407,0.33558586,0.33307323,0.32973096,0.3302196,0.33623895,0.34760556,0.3603171,0.37173998,0.3785907,0.38037983,0.37662092,0.3694751,0.36102045,0.35385498,0.34818324,0.34239283,0.3338358,0.3218844,0.30924454,0.30023113,0.29785573,0.30163145,0.30900753,0.3170703,0.32414842,0.32915398,0.33081946,0.3272688,0.31709805,0.30128825,0.28355858,0.2690169,0.2608051,0.25886938,0.26020756,0.2618269,0.26232353,0.26246288,0.26360676,0.26648307,0.27092004,0.27618194,0.28187504,0.2872332,0.29130983,0.2923931,0.28976333,0.28393272,0.2771971,0.27188542,0.2703968,0.2741532,0.28429726,0.29934227,0.31609228,0.3298516,0.33871257,0.34320953,0.34510842,0.34356937,0.3366435,0.32423985,0.31161654,0.30593166,0.3123975,0.3292462,0.35014465,0.36664167,0.37423706,0.37318432,0.367535,0.36009207,0.35070047,0.33795354,0.32295516,0.31002566,0.30390346,0.30678013,0.31721827,0.33187592,0.3462421,0.35616627,0.35760358,0.34937596,0.3337734,0.3178831,0.3094882,0.31353605,0.32779673,0.34525445,0.35853294,0.36607504,0.3713676,0.37903002,0.38918126,0.3984119,0.40341127,0.4049566,0.40572533,0.4066054,0.40501538,0.3985125,0.38862145,0.3799577,0.3764043,0.3776041,0.38099146,0.3838456,0.38557374,0.38564828,0.3834403,0.37747893,0.36779794,0.35610366,0.3456533,0.3390503,0.3368936,0.33792427,0.34009317,0.3422744,0.3438867,0.34480247,0.34456292,0.34329998,0.34126315,0.33826962,0.33316877,0.32515302,0.31528553,0.3061988,0.30042294,0.29870036,0.2997222,0.30074754,0.29876032,0.2923425,0.2826295,0.27271402,0.26546416,0.26159188,0.2597969,0.25746253,0.25299206,0.2457806,0.23679274,0.2264998,0.21587668,0.20580979,0.19784881,0.19194163,0.1875131,0.18539087,0.19072174,0.21025078,0.24621902,0.29180288,0.33337125,0.3593944,0.36730993,0.36424848,0.35891816,0.35393837,0.343645,0.32118103,0.28710815,0.25226253,0.23085344,0.23079322,0.24862047,0.27402273,0.2967589,0.31207702,0.3191292,0.3190523,0.31281653,0.3022838,0.29017055,0.27984032,0.27411816,0.27421474,0.27907845,0.2862026,0.29408112,0.3037805,0.31744456,0.33432898,0.35027918,0.35978088,0.36135375,0.35627678,0.3485738,0.34025013,0.33372435,0.3294797,0.32835767,0.32969734,0.3332825,0.33879933,0.34540853,0.35136923,0.35428473,0.353282,0.34882984,0.34266427,0.3360647,0.33005318,0.32551268,0.32323012,0.32375658,0.32591113,0.32817963,0.3284053,0.32688496,0.3242136,0.3219103,0.3192545,0.31481755,0.3061595,0.29257873,0.2770289,0.26721916,0.27224565,0.2950951,0.32797703,0.35557532,0.36554316,0.3565676,0.33738282,0.3187966,0.3063382,0.2992842,0.2932716,0.28408715,0.2684071,0.24644338,0.22161357,0.20174067,0.1932916,0.19903572,0.21457277,0.23307228,0.24882288,0.26132002,0.27329814,0.28713596,0.30122253,0.31075272,0.31138575,0.30320334,0.29042247,0.27831662,0.2696028,0.2643406,0.26218656,0.26374528,0.26966706,0.2778999,0.28473786,0.28711054,0.2860615,0.2846035,0.28564772,0.28915486,0.2944221,0.30072108,0.30839977,0.3165166,0.323091,0.32559645,0.32348108,0.31806126,0.3119744,0.307254,0.30536875,0.30667663,0.3106757,0.3150319,0.3166014,0.3128946,0.30439496,0.29430965,0.2866033,0.2829235,0.28133473,0.27782476,0.2698686,0.2592027,0.25062218,0.24759656,0.24889445,0.24970333,0.2463303,0.23903345,0.23130715,0.22624774,0.2246752,0.22573252,0.22918952,0.23657416,0.24916448,0.26559934,0.28088543,0.290234,0.29193088,0.28885803,0.28495046,0.28372106,0.28661433,0.29454958,0.30694973,0.32185182,0.33555403,0.34422812,0.3462771,0.3431008,0.33918986,0.338413,0.34180057,0.34519222,0.3432304,0.33364764,0.32084563,0.3114271,0.30857483,0.30926898,0.30884787,0.305557,0.30116263,0.2978392,0.29664028,0.29823962,0.30360278,0.312369,0.32179105,0.32748023,0.32660595,0.31939334,0.30901206,0.29924402,0.29264927,0.289598,0.28889036,0.28956333,0.29139277,0.29435867,0.2969967,0.29762253,0.29610667,0.2948322,0.29619965,0.30020097,0.3050859,0.31003848,0.31719843,0.3288013,0.34460354,0.3603234,0.37150308,0.3756341,0.37367085,0.36772892,0.36046886,0.35310316,0.34510896,0.3333156,0.31601158,0.2950118,0.2764871,0.2636383,0.25418606,0.24119234,0.22180142,0.19899337,0.17991425,0.16916882,0.16825964,0.17564423,0.18885283,0.20354396,0.2151171,0.2207015,0.2213196,0.22050317,0.22132826,0.22437853,0.22825952,0.2309773,0.23095326,0.22709872,0.21944956,0.20916931,0.19820412,0.1876136,0.17717737,0.16610964,0.15514684,0.14751405,0.14849353,0.16332285,0.19408064,0.23640448,0.2785522,0.30528632,0.30562067,0.27939942,0.23698907,0.19324563,0.15953176,0.1414112,0.13957001,0.15312745,0.1783691,0.20848729,0.23449771,0.25102356,0.25860795,0.2621366,0.26563177,0.2700105,0.27430275,0.27800748,0.2819325,0.28650057,0.29017624,0.28965986,0.28231132,0.26862252,0.25162873,0.23549324,0.22273886,0.21536058,0.21462528,0.22332811,0.24309497,0.27317157,0.30730605,0.33696547,0.3549907,0.36017576,0.35623285,0.3489065,0.34269157,0.33973315,0.34002963,0.34153625,0.34141663,0.33752182,0.3300922,0.32117656,0.31321874,0.30799162,0.30712482,0.3122642,0.32385793,0.33915433,0.35293162,0.3603836,0.36103508,0.35821626,0.35641703,0.35753396,0.36078,0.36448064,0.3676703,0.37032735,0.3714932,0.3693528,0.36186096,0.349862,0.33681646,0.32653752,0.31892174,0.310398,0.29789817,0.28281352,0.26904964,0.25794008,0.24596427,0.22931634,0.2099858,0.19614272,0.19541216,0.20738922,0.22399932,0.2357002,0.23966922,0.24089135,0.24925788,0.2717421,0.30805627,0.3490865,0.38294926,0.4011589,0.40368697,0.39639604,0.38633302,0.37589324,0.36241212,0.34132293,0.31162393,0.2780598,0.24857666,0.22962852,0.22297038,0.22653526,0.23614712,0.24768873,0.25776833,0.26534995,0.27202928,0.2808858,0.29399133,0.31002435,0.3255153,0.33605024,0.3392922,0.3343642,0.3229979,0.30849132,0.29563475,0.28740224,0.2828573,0.27713737,0.26584905,0.24899954,0.23137067,0.21849091,0.21304663,0.21428172,0.2199819,0.22824244,0.2387722,0.25367847,0.27652013,0.30874395,0.34609973,0.37992346,0.40261224,0.41283044,0.4147708,0.41396466,0.4133712,0.41331053,0.4130312,0.4119806,0.41001162,0.40700427,0.4029268,0.39736354,0.38989618,0.3802168,0.36914086,0.3580279,0.34810665,0.33979073,0.33297682,0.327844,0.32389772,0.32031283,0.31533113,0.30849668,0.30052352,0.29358134,0.28903002,0.2859472,0.28138652,0.27295244,0.26234937,0.2545797,0.2542266,0.2606766,0.26922926,0.27518272,0.27825418,0.28158152,0.288821,0.30092776,0.31589022,0.32976174,0.33787712,0.33618796,0.32126045,0.29307893,0.2565764,0.2232971,0.20529611,0.20846502,0.228043,0.25343063,0.2760451,0.29260972,0.3032737,0.3066673,0.30181432,0.29009104,0.2778838,0.27197036,0.2758494,0.28743073,0.30172572,0.31417134,0.32258645,0.3267716,0.32767162,0.326552,0.32499146,0.32393482,0.3236971,0.32361278,0.32251617,0.31884924,0.3115706,0.3009626,0.28916836,0.2789638,0.2731891,0.2724456,0.27570212,0.2787178,0.2777821,0.27051625,0.25957403,0.249314,0.24341436,0.24041039,0.2356223,0.22451723,0.20729707,0.18958007,0.18009643,0.18706393,0.21297854,0.25306925,0.294868,0.32577023,0.33807245,0.3338753,0.3209404,0.30861104,0.30326393,0.30711326,0.31873122,0.33334926,0.3455206,0.34922466,0.34055057,0.31790808,0.2851842,0.24991478,0.2207082,0.20216024,0.1941277,0.19355498,0.19766694,0.20640908,0.22170494,0.24614699,0.2785277,0.31355894,0.34260675,0.36007282,0.36596957,0.36603984,0.36617097,0.3686172,0.3708743,0.36805904,0.35530046,0.33063954,0.29708916,0.26317766,0.23878437,0.22993547,0.23578863,0.25098947,0.2700286,0.2896715,0.30828002,0.3228849,0.32928792,0.32422104,0.30956855,0.29118398,0.27563927,0.26555765,0.26066694,0.25977847,0.26284525,0.26962975,0.27819896,0.2853615,0.28804407,0.28624365,0.28191003,0.27790847,0.2738081,0.26708028,0.2556875,0.24333219,0.23859859,0.24822648,0.2699431,0.29255867,0.30541196,0.30607072,0.299947,0.29357672,0.29077864,0.2944206,0.30703115,0.32837608,0.35276365,0.37178493,0.37969002,0.37572685,0.3621612,0.34052038,0.31082174,0.27415013,0.23592396,0.20665793,0.19668205,0.2106492,0.24248703,0.2788777,0.30327627,0.30566028,0.28550074,0.2541853,0.22611898,0.2127716,0.21601547,0.2319575,0.2535915,0.27573553,0.2946643,0.30918625,0.31936884,0.32649213,0.33203638,0.33771706,0.3449813,0.35427985,0.36427197,0.37255976,0.37673306,0.37558356,0.3689237,0.3577256,0.34375465,0.32942334,0.31664863,0.30573454,0.2949938,0.2826099,0.26988518,0.26171967,0.26340818,0.27439812,0.28819513,0.29604948,0.29419145,0.28419468,0.27176276,0.26258633,0.26105568,0.26768664,0.27958265,0.2919158,0.30138054,0.3060467,0.304803,0.2960945,0.2796954,0.25727686,0.23341995,0.21425724,0.20634635,0.21300758,0.23314206,0.26018345,0.2856997,0.3018236,0.30544272,0.29852593,0.2865428,0.27495322,0.26663896,0.2627341,0.26281214,0.26632947,0.2715756,0.27704003,0.28099796,0.28265497,0.2814867,0.27805054,0.2740275,0.27237496,0.2761632,0.2863116,0.30035815,0.31285772,0.3188269,0.31646025,0.3082,0.29849574,0.29125494,0.28765818,0.28588867,0.28140542,0.26970252,0.24950908,0.22600609,0.20838217,0.20407839,0.21298121,0.22803617,0.24086316,0.24684423,0.24692911,0.24578685,0.25029027,0.2660022,0.29388487,0.32789907,0.35829476,0.37746957,0.38432053,0.38303125,0.3787769,0.37427112,0.36969247,0.36417317,0.35702717,0.3480836,0.33812287,0.32998118,0.32670715,0.32986405,0.33628002,0.34166706,0.34261438,0.34001207,0.33566388,0.3307645,0.32534656,0.32043958,0.31901833,0.32329383,0.332875,0.3446236,0.3556856,0.36488494,0.3716762,0.3744863,0.37177238,0.36398923,0.35584018,0.3522583,0.35659242,0.36610413,0.37604496,0.38082567,0.3789113,0.37135196,0.36112368,0.3504878,0.34029117,0.32963085,0.31664953,0.3003972,0.28245604,0.2663178,0.25506058,0.24958123,0.2489487,0.2516712,0.2561666,0.26072326,0.26369017,0.26426223,0.26309752,0.26178446,0.26183477,0.26355323,0.266374,0.26962784,0.27365935,0.27957112,0.28828588,0.29879722,0.3079543,0.3118217,0.3087515,0.30067492,0.2918879,0.28584576,0.2833612,0.28339776,0.28471646,0.28682652,0.28892767,0.28957653,0.28696778,0.28081465,0.27310848,0.26744458,0.26660427,0.2708229,0.2786869,0.28999773,0.30682755,0.33080837,0.35871038,0.3826667,0.39496148,0.3939116,0.38397276,0.3717558,0.36146545,0.35369328,0.34639552,0.33672795,0.32351014,0.30883387,0.29747412,0.2928969,0.29444534,0.29794052,0.29989904,0.30035046,0.30183956,0.3062068,0.3119614,0.3158598,0.3156319,0.31252182,0.3095111,0.3088636,0.310383,0.31279156,0.31519327,0.31759307,0.31980023,0.32105055,0.32013357,0.3168589,0.31204948,0.30756283,0.30448857,0.303291,0.3032705,0.30404273,0.3053164,0.30758235,0.31089914,0.31411782,0.31451726,0.3092773,0.2980785,0.28343865,0.2693313,0.25818196,0.25034118,0.2448545,0.24101667,0.23860914,0.23741877,0.23698412,0.23686403,0.23720185,0.23880516,0.24271704,0.24950407,0.25871137,0.2691697,0.2795259,0.2887976,0.29547313,0.2977065,0.29369894,0.28425297,0.2722508,0.26178285,0.25486112,0.25149083,0.24999233,0.24922234,0.24877769,0.24893181,0.24948227,0.24976544,0.24911374,0.24763812,0.24615341,0.24550217,0.24618484,0.24835785,0.25258294,0.26001063,0.2716694,0.2871059,0.3034718,0.31724662,0.32602477,0.3301759,0.33117446,0.3306153,0.32894957,0.32645324,0.32327905,0.319785,0.31612706,0.31222212,0.3083156,0.30498883,0.30335858,0.30356988,0.30491874,0.30586967,0.30596626,0.30598432,0.3072184,0.3099133,0.3120788,0.31147954,0.30671984,0.29963192,0.29253706,0.28779614,0.28569344,0.28645027,0.28967407,0.2948968,0.30022767,0.30360758,0.30363306,0.30146155,0.29964745,0.30056146,0.30423263,0.3090307,0.3134204,0.3170446,0.32018802,0.32178405,0.31912494,0.30821943,0.28717765,0.2572492,0.22389734,0.19246106,0.16647318,0.14524418,0.1271837,0.11093301,0.09703886,0.08606192,0.07803864,0.072465725,0.069344915,0.06940051,0.073134415,0.08027505,0.089996256,0.102156766,0.11771051,0.13750784,0.16030623,0.18192337,0.19772172,0.20540647,0.20592952,0.20052846,0.18983859,0.17673254,0.17022641,0.18280979,0.21991853,0.27254876,0.31982556,0.34372607,0.33967617,0.31775856,0.29226497,0.27274072,0.2609767,0.25480863,0.25248978,0.25425652,0.2606019,0.2701483,0.27918217,0.2839099,0.28279567,0.27751744,0.27181426,0.26925585,0.27149126,0.27713126,0.2829167,0.28542736,0.28302398,0.27602372,0.26631236,0.25656417,0.24939604,0.2463739,0.2475189,0.25199863,0.2591447,0.2688894,0.28042582,0.29155636,0.29871368,0.29978585,0.2949703,0.28698552,0.27839285,0.2709767,0.2649921,0.25972664,0.25310102,0.24329962,0.23039407,0.21773916,0.20928346,0.20699291,0.20910709,0.21279544,0.21596335,0.21856155,0.22134326,0.22640942,0.2367906,0.25546253,0.28112397,0.30685234,0.32302436,0.32450268,0.31443015,0.30122587,0.29225096,0.28912836,0.2894244,0.28936693,0.28634858,0.27776226,0.26170775,0.23959126,0.2192192,0.21169801,0.22336204,0.24900754,0.2755865,0.2915821,0.29579982,0.2941893,0.29267493,0.28892064,0.27560246,0.24637902,0.20381922,0.15708272,0.11846206,0.09750696,0.101640105,0.13180472,0.18076468,0.2310751,0.26617214,0.27882698,0.27529657,0.26562405,0.25652346,0.24925345,0.24465077,0.24593501,0.25769138,0.28213492,0.31638983,0.352447,0.38084546,0.39519706,0.3959209,0.38853678,0.3799049,0.3735412,0.3691596,0.3641405,0.35580802,0.34349096,0.3291602,0.31761733,0.3130914,0.3166878,0.32521415,0.33371532,0.33901176,0.3405777,0.34027922,0.33900833,0.33684358,0.3331848,0.32950065,0.3284037,0.33164048,0.33798555,0.3442879,0.34828082,0.35017836,0.35075822,0.34993985,0.3459195,0.33911026,0.3323069,0.33033246,0.33473146,0.3430129,0.34993264,0.3528316,0.3525665,0.35176095,0.35002193,0.34454525,0.33274567,0.31643116,0.30054367,0.28966078,0.28454837,0.2824587,0.28057635,0.27819204,0.2769657,0.27810994,0.2814164,0.2851137,0.2877181,0.2885646,0.2880282,0.28692606,0.28637132,0.28735074,0.2906656,0.2965192,0.30478922,0.3141309,0.3220707,0.32489988,0.3203249,0.30879042,0.29429466,0.28188732,0.2753911,0.27515337,0.27769282,0.27744064,0.27035376,0.25743186,0.24417825,0.23591149,0.2326744,0.22868325,0.21754684,0.19767745,0.17444277,0.15661228,0.15290807,0.16850883,0.20426023,0.25415692,0.30689463,0.34909356,0.3730867,0.37925526,0.37498283,0.36815628,0.36383948,0.36269704,0.36277568,0.3612535,0.35672235,0.35015377,0.3443352,0.34157708,0.3423965,0.34573182,0.35036257,0.35551062,0.36033615,0.36385158,0.36488822,0.3628188,0.3575002,0.34955192,0.340605,0.33277962,0.32800138,0.3265767,0.32748798,0.32900465,0.32969844,0.32885003,0.32637182,0.32317388,0.32076445,0.3206015,0.32316998,0.3276334,0.3326842,0.33698082,0.34006932,0.3417516,0.34178638,0.33912858,0.33297288,0.32413626,0.31535268,0.30957052,0.30734965,0.30682316,0.3051263,0.3010219,0.2949156,0.2885903,0.28370962,0.28175426,0.28242317,0.28285962,0.2779938,0.26522073,0.24879275,0.2381659,0.2405866,0.25428155,0.27178922,0.2860818,0.2950517,0.298501,0.29657677,0.2901313,0.2817254,0.27452144,0.269973,0.26801446,0.26767918,0.26810214,0.26829955,0.26752147,0.2657456,0.26377153,0.262642,0.26270434,0.2634885,0.264124,0.26410857,0.2636461,0.26349095,0.2644215,0.2665875,0.2694006,0.27180016,0.2728916,0.27220753,0.26998004,0.26712152,0.26511848,0.26521137,0.26751587,0.27015516,0.26908508,0.2587661,0.2344696,0.19571674,0.14818193,0.1019487,0.066214524,0.045026556,0.037038755,0.039519574,0.052634984,0.079456635,0.12147816,0.1733089,0.22321653,0.25970542,0.2784067,0.28321287,0.28124955,0.27805018,0.27563894,0.27407718,0.27284455,0.2716942,0.27062052,0.2697389,0.26904246,0.2682474,0.26685902,0.26444212,0.26079702,0.25604406,0.25058016,0.24511097,0.24045177,0.23723085,0.2355889,0.23527324,0.23590583,0.23712535,0.23846288,0.23925956,0.23900585,0.23779382,0.23643947,0.23593055,0.23672433,0.23843749,0.24012129,0.2408968,0.24038494,0.2389059,0.23713754,0.23576616,0.23518892,0.23558764,0.23701711,0.23914598,0.2410986,0.24133526,0.2383986,0.23143518,0.22123478,0.2102444,0.20235033,0.20083289,0.20665127,0.21717165,0.22750622,0.23271464,0.2302994,0.22109932,0.20894389,0.19892164,0.19527628,0.1994338,0.20930015,0.2194928,0.22291678,0.21306987,0.18749332,0.15005976,0.110836945,0.08204454,0.07270581,0.08413353,0.109089695,0.13463053,0.1479974,0.14272232,0.12149999,0.0937894,0.069395594,0.052956928,0.04298391,0.036145974,0.032568354,0.038549483,0.06295014,0.110154964,0.17352094,0.23725371,0.2851394,0.3106068,0.3189735,0.32122424,0.32509544,0.32959175,0.32693717,0.30872956,0.27381912,0.23143573,0.19893695,0.19243956,0.2174675,0.26387188,0.3121871,0.34478173,0.35558066,0.35000905,0.33897737,0.33294758,0.33776474,0.35356584,0.37309217,0.38630044,0.38597164,0.37317982,0.3537434,0.33179632,0.30670968,0.27775398,0.2503033,0.23597296,0.24475376,0.27787825,0.32510218,0.37179518,0.40517047,0.4207166,0.4197544,0.4055953,0.37849498,0.33849156,0.29128757,0.24997033,0.22693498,0.22408378,0.23357974,0.24688213,0.26211143,0.28061247,0.3019184,0.3226032,0.33929923,0.35015833,0.35400704,0.35248864,0.350222,0.35305667,0.36176595,0.37173668,0.37766543,0.38157502,0.39383033,0.42911533,0.49250615,0.57298493,0.64053535,0.6672306,0.6414211,0.5790674,0.5070655,0.44889882,0.41280732,0.39566055,0.39011642,0.38986185,0.39231968,0.39599618,0.39976013,0.4009392,0.39774773,0.38988793,0.3785421,0.3654894,0.35176122,0.33940712,0.32912073,0.3222046,0.3180444,0.31786594,0.32152912,0.3284315,0.33498833,0.33869183,0.3402822,0.34609902,0.36595932,0.4072899,0.46717477,0.5287823,0.56835556,0.57077837,0.5377391,0.48595336,0.43187407,0.3870858,0.3557522,0.3434426,0.35224518,0.37757316,0.4030818,0.41200843,0.39906263,0.37425485,0.35187137,0.3385848,0.3320082,0.32819554,0.32786036,0.33476266,0.3501694,0.3697988,0.38725212,0.3993499,0.40741017,0.41370383,0.41599354,0.40929985,0.38999185,0.36255047,0.3366727,0.32181382,0.31950077,0.3241119,0.32807752,0.3276697,0.32414088,0.32072538,0.31944475,0.3201643,0.32123873,0.32151484,0.32058874,0.31960604,0.32010078,0.32304123,0.32737502,0.3304833,0.33116582,0.3315103,0.3361512,0.3477149,0.36462188,0.38200334,0.39561749,0.40384984,0.40784112,0.4098345,0.4121013,0.4160287,0.42190704,0.42971864,0.44065043,0.45857367,0.4862473,0.5194786,0.54349583,0.54195625,0.5100533,0.46062315,0.41428912,0.3849256,0.3746759,0.38001013,0.4005524,0.43786788,0.4883356,0.5362689,0.5604826,0.5482933,0.5069495,0.45816347,0.42282593,0.40868697,0.41156664,0.42332375,0.43793628,0.45134482,0.4597073,0.45862046,0.44538403,0.42081842,0.39045587,0.36134934,0.33898714,0.32586265,0.32388332,0.33596134,0.36088073,0.39091763,0.41175497,0.41565987,0.40398037,0.38734365,0.37302163,0.3635607,0.35675916,0.35130182,0.34703255,0.34472832,0.3449764,0.34817222,0.35413685,0.3624016,0.3717337,0.38000894,0.3842158,0.381923,0.37384787,0.36376885,0.35680544,0.3553766,0.35911855,0.3657545,0.3738772,0.38192025,0.38732323,0.38578486,0.37454715,0.35482374,0.33221602,0.3133957,0.30303082,0.30208024,0.30804816,0.31624553,0.3224,0.32458338,0.32398915,0.32389867,0.3303774,0.35234153,0.39744905,0.46209955,0.52595335,0.56081265,0.5512099,0.50557613,0.44919375,0.40308234,0.37453175,0.35821345,0.34844804,0.34216046,0.34082595,0.34536234,0.35583642,0.36962044,0.38351297,0.39459395,0.4007872,0.40055013,0.39279893,0.37873855,0.36215723,0.3488241,0.3431383,0.34685048,0.3580977,0.3733689,0.38779974,0.39758906,0.400341,0.39873353,0.400013,0.41651693,0.4535739,0.5041262,0.54233867,0.5456233,0.5064526,0.4458796,0.39133322,0.36340395,0.36218116,0.37864435,0.40392208,0.43222383,0.45780012,0.46989647,0.46298608,0.43906364,0.41028824,0.3853751,0.36745894,0.35346305,0.34148178,0.33055446,0.32000688,0.30855474,0.2967606,0.28718972,0.2828755,0.28360274,0.28686488,0.2893131,0.29019248,0.28990063,0.28916708,0.2875265,0.28502572,0.28273958,0.28261092,0.28560302,0.29109547,0.2970439,0.30136892,0.30275202,0.30163217,0.30004576,0.30091798,0.30607584,0.314411,0.32233372,0.32576004,0.32364613,0.3176345,0.31097785,0.3052137,0.30039266,0.29546496,0.29011536,0.28514376,0.28202662,0.28218147,0.28573802,0.29170945,0.2978972,0.30211046,0.3029345,0.3024466,0.30775526,0.33007625,0.37439886,0.43028006,0.4706156,0.47169223,0.43053982,0.36993697,0.3169181,0.28693685,0.27892622,0.29066315,0.32526943,0.38605717,0.46125713,0.52233064,0.54210657,0.5162689,0.46617433,0.42011282,0.39227226,0.37949178,0.36948168,0.35381582,0.33094397,0.3072909,0.2913742,0.28976926,0.30113244,0.31768894,0.3288962,0.32916573,0.32063258,0.31377396,0.32102928,0.34867045,0.38950923,0.4263226,0.44370806,0.4387739,0.42055476,0.40080214,0.38675547,0.38015667,0.37998438,0.3840702,0.3897564,0.39401034,0.39410034,0.38829866,0.37733984,0.3641276,0.35217533,0.34312537,0.33616006,0.3297433,0.32301676,0.3173505,0.31491593,0.31843182,0.32866737,0.34417614,0.3603051,0.37140858,0.3732735,0.36585745,0.35318723,0.34089804,0.33311775,0.33064786,0.33155724,0.33295497,0.3330159,0.33199605,0.33167005,0.33370522,0.33773687,0.3437012,0.35453925,0.37979674,0.42507938,0.48550734,0.5377825,0.56006837,0.5416676,0.4957308,0.44150448,0.39738774,0.36893168,0.35503006,0.3490714,0.34537193,0.34041837,0.33498523,0.3316317,0.3326732,0.33704472,0.34195733,0.344538,0.34488368,0.34457883,0.34473065,0.34425005,0.3413386,0.33602682,0.33068302,0.32822028,0.32923114,0.33169737,0.3328391,0.3325137,0.3354474,0.35108253,0.3880379,0.4437503,0.499187,0.5259508,0.5077596,0.4517975,0.38525447,0.3325087,0.30460274,0.29848388,0.30999696,0.33729777,0.3762765,0.41643694,0.4418564,0.4449949,0.42783782,0.40249658,0.3787044,0.36324286,0.35625497,0.35441568,0.35095838,0.34090614,0.32381317,0.30486956,0.28966573,0.28083503,0.2763754,0.27433866,0.2751367,0.28278652,0.30066013,0.32888034,0.36138734,0.3885144,0.4012988,0.3980029,0.38424003,0.36807653,0.35315642,0.33816028,0.321293,0.30426648,0.29139706,0.2854174,0.28563976,0.28946176,0.2961909,0.30802083,0.3270037,0.35030016,0.37007117,0.37979794,0.38074955,0.380276,0.38375008,0.3888842,0.38967216,0.38319382,0.3721023,0.36000672,0.3476889,0.33381286,0.31928578,0.310787,0.31930342,0.35476705,0.4131823,0.47347128,0.5042955,0.49089953,0.44539347,0.40018773,0.3785523,0.38263723,0.39960387,0.4207259,0.4483908,0.48518983,0.5230393,0.5415936,0.5277485,0.486097,0.4390398,0.4060522,0.3941307,0.39615858,0.40321147,0.40913272,0.41369998,0.41734838,0.42031956,0.418915,0.40938857,0.38870227,0.35858774,0.323681,0.29296538,0.27735594,0.2879552,0.32558167,0.37826553,0.4226904,0.44273242,0.43513945,0.4109536,0.38036278,0.3498995,0.32156205,0.29850915,0.28415456,0.2809917,0.28956535,0.30784336,0.3306761,0.35057354,0.3620036,0.36481607,0.3628122,0.35927358,0.35475782,0.34983465,0.34662333,0.34742546,0.35155523,0.35602155,0.3580645,0.35666814,0.3519983,0.3445814,0.3355595,0.3264047,0.31802908,0.3111092,0.30655265,0.30671716,0.31271997,0.32383648,0.33585337,0.34503517,0.34893647,0.3496515,0.3530164,0.3691342,0.407642,0.46828786,0.5356643,0.58224934,0.58900666,0.5561264,0.50486284,0.45666108,0.42264402,0.39898196,0.37883773,0.3576168,0.33656153,0.3185947,0.3070035,0.30328178,0.30667567,0.31425115,0.32215226,0.3281351,0.33165905,0.33355758,0.3342091,0.33374408,0.3318906,0.329111,0.32653973,0.32613978,0.3287424,0.33309558,0.33586976,0.33619258,0.33971703,0.35943305,0.40394083,0.4652299,0.5144896,0.5221669,0.47979775,0.40791014,0.3375303,0.2887019,0.26465145,0.2613881,0.27799478,0.3130336,0.35703787,0.39112103,0.3995231,0.38126278,0.35042706,0.32354423,0.30797675,0.30080056,0.29462707,0.28511938,0.2723659,0.2613816,0.25758,0.26409218,0.27792978,0.29231092,0.30036986,0.29989162,0.29341015,0.28552738,0.2792627,0.2746414,0.27023402,0.26559913,0.2627703,0.2642257,0.27056596,0.27915236,0.28646162,0.29028022,0.2938619,0.30691102,0.34482673,0.41301894,0.49616155,0.5552698,0.5585014,0.50263274,0.42083332,0.34997383,0.30995575,0.2940566,0.28911507,0.28462443,0.28006122,0.2767701,0.27724305,0.2809503,0.28661966,0.29188386,0.29526854,0.29595152,0.29578555,0.30027893,0.32001355,0.3602253,0.4133823,0.4542556,0.4600676,0.42521325,0.36845085,0.31416044,0.2772201,0.25944638,0.25902128,0.28020677,0.32858238,0.40080485,0.47645655,0.52555186,0.5293297,0.4904445,0.43235525,0.37734494,0.3397014,0.32300115,0.3320992,0.3696762,0.42833066,0.48290333,0.5030171,0.47421,0.40999103,0.3391564,0.28577587,0.25774226,0.25410828,0.27272466,0.31167802,0.3628905,0.41239724,0.44801334,0.46618137,0.47024807,0.46225095,0.44269165,0.41502324,0.39034176,0.38308874,0.40377572,0.45161963,0.5100889,0.55151415,0.553679,0.51581615,0.4601977,0.41196573,0.38322377,0.36950877,0.36413944,0.3674287,0.38401902,0.41489372,0.44937524,0.4737704,0.47595596,0.45592323,0.4208559,0.38361457,0.35596347,0.34771898,0.36689773,0.4140778,0.47857037,0.5343937,0.55672485,0.5354572,0.48480698,0.42864108,0.38507032,0.35884532,0.3482121,0.3557814,0.386162,0.4384819,0.49655613,0.5375828,0.5454022,0.52144414,0.4799577,0.43594924,0.39868602,0.36918736,0.3463414,0.3267888,0.31094828,0.2998338,0.2967248,0.30108652,0.31070969,0.32103625,0.3289806,0.33192897,0.32892948,0.3205326,0.3103292,0.3035246,0.3046824,0.31467497,0.33037344,0.346223,0.35696092,0.35991463,0.35607147,0.35149825,0.3558997,0.38028726,0.42652535,0.48343158,0.5266209,0.53719705,0.51134694,0.46481514,0.41630736,0.377836,0.35055158,0.33326426,0.32926086,0.3417966,0.3684884,0.39493668,0.408339,0.40331277,0.38792527,0.3714241,0.36054495,0.3556207,0.35444734,0.3537729,0.35158327,0.3479936,0.34390405,0.33932886,0.332595,0.3222598,0.30846646,0.29339054,0.2794875,0.26901415,0.26386145,0.26670137,0.27934107,0.3009244,0.32627472,0.34866595,0.36335933,0.37028334,0.37208745,0.37249324,0.37522802,0.38725397,0.4150521,0.45938122,0.5062104,0.53411037,0.5265461,0.48633346,0.4314671,0.38303337,0.35283992,0.34329286,0.35395244,0.38546357,0.4335942,0.48295274,0.5096162,0.49853408,0.45406267,0.3972261,0.34840348,0.31777647,0.30497155,0.30505368,0.31239653,0.32257685,0.33325943,0.34286845,0.34869337,0.34746182,0.33771756,0.32267392,0.30822742,0.30234137,0.31178772,0.34290764,0.39362463,0.4527677,0.49879408,0.51657367,0.502978,0.47103927,0.43529174,0.40690073,0.38782182,0.37517753,0.36283472,0.3473629,0.3305516,0.31802034,0.3133632,0.3149811,0.31816512,0.3198291,0.31927648,0.3183039,0.31918088,0.32682827,0.34328124,0.36600444,0.38434675,0.38955963,0.3793961,0.3608261,0.34229317,0.32925966,0.3228844,0.3215681,0.3229784,0.3248551,0.32601473,0.32620886,0.3254731,0.32412025,0.3223935,0.32044467,0.31772533,0.31305897,0.3058748,0.29739264,0.29142937,0.2921218,0.3013153,0.31660542,0.33309773,0.3454869,0.3499206,0.34423816,0.32915735,0.30905434,0.2913973,0.28442743,0.29302898,0.31657755,0.34806454,0.37843704,0.4004118,0.41159594,0.41288945,0.40656877,0.39755905,0.39483,0.41177416,0.45361963,0.5099922,0.55253744,0.55784494,0.5220146,0.4659599,0.41345343,0.377493,0.3549192,0.33916697,0.32627973,0.31800273,0.31597054,0.32051829,0.32941362,0.33973277,0.34826776,0.35149634,0.3466083,0.33225346,0.31095043,0.28872672,0.27354968,0.27092895,0.28099847,0.29903117,0.31881288,0.33656284,0.35108128,0.36229146,0.37023687,0.3768339,0.38948718,0.4169871,0.46265998,0.51341635,0.5470323,0.54425234,0.5058026,0.44840035,0.393231,0.35332152,0.33252764,0.33188,0.3490161,0.3765922,0.39971218,0.40581003,0.3934965,0.373004,0.35724273,0.35035774,0.34842739,0.34306803,0.33037487,0.31152144,0.2927047,0.27988365,0.2768124,0.28367054,0.29816678,0.31577882,0.33087718,0.33885166,0.33854625,0.33307686,0.32742307,0.3258625,0.32940248,0.3367441,0.344704,0.35027775,0.35067192,0.34478983,0.33338073,0.32151136,0.3189913,0.33960363,0.38926342,0.45732173,0.5140133,0.53212196,0.5046355,0.45155203,0.4001845,0.3676609,0.3533986,0.34758365,0.34077883,0.32964727,0.3170726,0.30887344,0.30957076,0.31847706,0.33043423,0.33836964,0.3382802,0.33161083,0.32597005,0.33218825,0.35574886,0.39054206,0.41840625,0.4229838,0.40167102,0.3681086,0.3399506,0.32632497,0.3259834,0.3354453,0.3574389,0.39847493,0.45644805,0.51290965,0.5404513,0.52377963,0.47139522,0.40863296,0.35861918,0.33086383,0.3252244,0.340116,0.3767793,0.43133247,0.48936638,0.52678996,0.52492774,0.482152,0.41513494,0.34617546,0.2908925,0.25588453,0.24325879,0.2556963,0.29116556,0.34072065,0.3878493,0.42008802,0.4308475,0.421248,0.39501214,0.3604913,0.32927713,0.31349,0.32402202,0.36354944,0.4230299,0.47376084,0.48647615,0.44677034,0.37379634,0.2991971,0.2500925,0.23117977,0.23641002,0.2586955,0.2954459,0.3428189,0.39089617,0.42627776,0.43866515,0.42524758,0.39257348,0.35149518,0.3154198,0.29580855,0.30434117,0.34668258,0.41486657,0.48248282,0.5167929,0.501805,0.44751194,0.382889,0.3314894,0.3041644,0.2981957,0.312886,0.349066,0.4052855,0.46486244,0.50220937,0.49831915,0.45766595,0.4035492,0.36100802,0.34093523,0.33893874,0.34392092,0.34717917,0.3458878,0.3414273,0.33565748,0.3297547,0.32374457,0.31756455,0.31002244,0.30036345,0.2896581,0.28155017,0.27970693,0.28460804,0.29373035,0.30342624,0.31163695,0.31744978,0.32101336,0.32269868,0.32329842,0.3254834,0.33505008,0.36239854,0.41199508,0.47544327,0.52545047,0.53749603,0.5037335,0.44439515,0.38619128,0.3484182,0.3324449,0.33297774,0.3460834,0.3688265,0.39525712,0.41263285,0.41383204,0.4006207,0.38566783,0.37851763,0.3820056,0.3911132,0.40041712,0.40679812,0.41073385,0.41375518,0.41707075,0.42044094,0.42364287,0.42649853,0.42891768,0.42974102,0.4277955,0.42317927,0.41814426,0.4157432,0.4173956,0.42184564,0.4260186,0.4275248,0.42550313,0.420195,0.4115727,0.39943483,0.384274,0.36781645,0.35311666,0.3427976,0.3385755,0.33905172,0.341835,0.3434074,0.3424643,0.33827138,0.3322598,0.32630062,0.32314622,0.32386658,0.32752892,0.3319784,0.33599523,0.33984473,0.34408972,0.34847784,0.35220602,0.35495147,0.35883164,0.36926875,0.39424166,0.43604505,0.48393616,0.513372,0.503446,0.4531208,0.38517478,0.32705763,0.2936491,0.28391823,0.29344785,0.32445666,0.37870124,0.44742295,0.50468886,0.5264037,0.50422055,0.45496425,0.40254223,0.3641702,0.34124267,0.3278348,0.31893584,0.3142887,0.31480512,0.31850958,0.32119408,0.3201941,0.31712702,0.3159649,0.31944427,0.32782647,0.34115848,0.36102712,0.38765284,0.41491255,0.43137154,0.42778292,0.40612996,0.37698683,0.35254884,0.33784768,0.33210874,0.33116528,0.33161762,0.33171487,0.33133817,0.3312777,0.33190233,0.3337325,0.33711314,0.3423191,0.3482994,0.35350814,0.35680613,0.3585504,0.35934058,0.35939738,0.35814372,0.3558093,0.35328224,0.3518963,0.35203716,0.35337606,0.3551359,0.35640657,0.35609686,0.3531444,0.34727123,0.33944288,0.3316255,0.3257425,0.32260215,0.321493,0.32081676,0.31948426,0.3197074,0.32814404,0.35530815,0.40520236,0.46922097,0.5230618,0.5448909,0.5268481,0.48264584,0.4325705,0.39246047,0.36554936,0.34762987,0.333227,0.32109705,0.31343892,0.31253222,0.31709585,0.32323492,0.32692257,0.32691547,0.32444087,0.32202205,0.32135203,0.32235947,0.32383856,0.32482275,0.32585013,0.32741717,0.329258,0.33021772,0.3304424,0.33134174,0.33501795,0.34422675,0.3636707,0.39829925,0.44561687,0.49174586,0.5148613,0.50266,0.45911857,0.4046615,0.35800037,0.3301147,0.32115325,0.32910368,0.35105643,0.37998614,0.4041771,0.41002402,0.39475587,0.36548743,0.33665302,0.31645432,0.30657557,0.30482283,0.31407943,0.34396446,0.39965948,0.47053146,0.5264206,0.5401656,0.50643,0.44751287,0.391032,0.35209534,0.32787874,0.3103237,0.2945327,0.28182027,0.27467215,0.27442676,0.28014657,0.28898874,0.2980601,0.3041434,0.3062149,0.30594,0.31095305,0.33446577,0.38611388,0.46083388,0.53102154,0.5641669,0.54304534,0.48162165,0.4097848,0.35307837,0.31920782,0.3044244,0.30556718,0.3221008,0.35140833,0.38393286,0.40663937,0.41178402,0.39763114,0.36970797,0.33275878,0.29380807,0.260852,0.24813235,0.26941,0.3261976,0.39833435,0.45144236,0.46113455,0.4290912,0.37942708,0.3377895,0.3163447,0.31319427,0.32017723,0.33047804,0.33998713,0.3470703,0.35084113,0.35077366,0.34783474,0.34410724,0.3426441,0.34383854,0.3481551,0.35756096,0.37979734,0.41827664,0.46588755,0.50004363,0.5016661,0.46770433,0.41764188,0.37438643,0.35079563,0.34419945,0.3471485,0.3557668,0.36911678,0.38550448,0.39867207,0.40426293,0.39943016,0.38521257,0.36126664,0.3300202,0.2969971,0.27406716,0.27608943,0.31261554,0.37717625,0.44272423,0.47703743,0.46345496,0.4126586,0.3510029,0.3017383,0.27445635,0.26677978,0.2713015,0.27988285,0.2867394,0.2898817,0.29054067,0.29071718,0.29141185,0.29292282,0.29620913,0.30173662,0.30927384,0.31657287,0.32193264,0.32353845,0.32168588,0.3171511,0.31238577,0.30867967,0.30686164,0.3061737,0.30618596,0.305338,0.30175903,0.29246852,0.27623078,0.2539444,0.23020525,0.21051948,0.1991808,0.19623183,0.19851148,0.20186345,0.20388098,0.20430146,0.20414715,0.20439003,0.20518045,0.20583265,0.2052875,0.20292105,0.19885443,0.19398922,0.18939324,0.18580283,0.18317719,0.18092436,0.17838748,0.17544349,0.1725371,0.17039369,0.16949713,0.16996951,0.17156929,0.17386048,0.17618679,0.17789268,0.17867385,0.17894377,0.1795696,0.18120933,0.1837017,0.18627538,0.1882023,0.18946779,0.19074012,0.19291699,0.19640504,0.20075412,0.20486902,0.20794374,0.21020973,0.21273887,0.21618931,0.2202607,0.22435461,0.2289151,0.23500861,0.24301763,0.251595,0.25894222,0.26421583,0.2680394,0.27133146,0.2743992,0.27697897,0.2787144,0.27964437,0.27994463,0.2799175,0.2796763,0.27928433,0.27889264,0.2787415,0.27894953,0.27875435,0.27701154,0.27288413,0.26692796,0.26024488,0.2533567,0.2456735,0.2363736,0.22556543,0.21436106,0.20445551,0.19729674,0.19369332,0.19329417,0.1948842,0.19678183,0.19786872,0.19767122,0.19662273,0.1954714,0.19513766,0.19608693,0.1982282,0.20091863,0.20327158,0.20459934,0.20457213,0.20347883,0.20176832,0.19997649,0.19823729,0.19669712,0.19541311,0.19472189,0.19493367,0.19635655,0.1989907,0.20248328,0.20612502,0.20908809,0.21073301,0.21084888,0.2096079,0.2074597,0.20486705,0.20233051,0.20020054,0.1986442,0.1974708,0.19635825,0.19509278,0.19379409,0.19276102,0.19228041,0.1925211,0.19357164,0.19538862,0.19759275,0.19958632,0.20089865,0.20168751,0.20236306,0.20294847,0.20254849,0.20020337,0.1958891,0.19091316,0.18685625,0.18458796,0.18418206,0.18539543,0.18794475,0.19112034,0.19408996,0.19619404,0.19742084,0.19782908,0.19742058,0.19612123,0.1942718,0.19237918,0.19078426,0.189367,0.18809102,0.18737738,0.18822134,0.19143166,0.1971271,0.20458533,0.2125401,0.21966557,0.22466125,0.22695076,0.22670281,0.225169,0.22363119,0.22288734,0.22263737,0.22213863,0.22081949,0.21880509,0.21668632,0.21507965,0.21420638,0.21381907,0.21345066,0.21293974,0.21320951,0.21596724,0.22304988,0.23389526,0.24585855,0.25446224,0.25751546,0.25498042,0.24938153,0.24255227,0.23578699,0.22990315,0.22582084,0.2246521,0.22598846,0.22921486,0.2324739,0.23520482,0.2364949,0.23658794,0.23545545,0.23450498,0.23578371,0.24172433,0.25226092,0.26487783,0.2753546,0.28159153,0.28327924,0.281759,0.277714,0.27231738,0.26676694,0.26208755,0.2576569,0.2522324,0.24550624,0.2392597,0.23567094,0.23515289,0.23579104,0.23496813,0.23150325,0.22671567,0.22418423,0.22893256,0.24312751,0.26411748,0.2829276,0.29185596,0.28775093,0.27514085,0.2597136,0.24586363,0.23433661,0.22519039,0.21917409,0.21780074,0.22200722,0.2297071,0.23671621,0.23789291,0.23098333,0.21676366,0.19871865,0.18097508,0.16757798,0.16263317,0.16817732,0.18286632,0.19987975,0.21127431,0.21181254,0.20287053,0.1896526,0.17762889,0.1694153,0.16544326,0.16553243,0.17042989,0.1805952,0.19527608,0.2106526,0.22236536,0.2265244,0.22272591,0.21226113,0.19854318,0.18535708,0.17770176,0.17952377,0.191141,0.20744239,0.22005041,0.22345792,0.21769859,0.20778745,0.19821079,0.19116278,0.18606247,0.18224357,0.1797285,0.17971061,0.18327384,0.19023852,0.19836651,0.20448144,0.20602952,0.20246893,0.1946611,0.18473284,0.1757588,0.17207833,0.17636383,0.18741596,0.19891942,0.20461027,0.20164557,0.1929168,0.18277489,0.1747936,0.16990747,0.16808838,0.16939281,0.1739255,0.1814474,0.18985373,0.19669169,0.19950771,0.1980082,0.1927558,0.18501115,0.17616187,0.16900766,0.16825454,0.17769717,0.19674659,0.21834897,0.23384814,0.23828532,0.2336636,0.2249587,0.21633323,0.20866454,0.20212255,0.19765127,0.19827193,0.20673263,0.22308719,0.24247861,0.25624248,0.2578402,0.24647076,0.22960855,0.21516491,0.21077271,0.21852244,0.24046963,0.2721698,0.30578747,0.32889882,0.33504987,0.32555357,0.30862322,0.2921315,0.2802385,0.27388975,0.27296782,0.27715603,0.28565457,0.29571757,0.3039626,0.3069472,0.30430746,0.29775202,0.29106787,0.28809705,0.29266635,0.3069441,0.32942668,0.35396028,0.37215266,0.37775648,0.3710359,0.35704985,0.34179834,0.32563388,0.3062725,0.28319836,0.2636685,0.256096,0.26357397,0.27927628,0.2939365,0.30223092,0.30592707,0.30818164,0.30901992,0.30440506,0.29196241,0.27515447,0.2628235,0.26307663,0.278031,0.30194366,0.32422543,0.3343371,0.32802367,0.3084834,0.2837285,0.2596588,0.2390632,0.22382973,0.21918975,0.2308331,0.2588582,0.2925806,0.31473115,0.31250903,0.288353,0.2601664,0.2490989,0.26563558,0.3027759,0.34367824,0.37171507,0.3802539,0.37121534,0.3524635,0.33070982,0.31178463,0.2991955,0.29588473,0.30118227,0.31085157,0.3191302,0.32053283,0.31245235,0.29360604,0.26875576,0.24617022,0.23513687,0.23705272,0.24573915,0.2533318,0.25802532,0.26542208,0.28186885,0.30738103,0.33305168,0.3471074,0.34365895,0.32606533,0.30201426,0.276128,0.25010255,0.22720659,0.2154959,0.22089188,0.24242349,0.2704108,0.29586652,0.31366786,0.32516134,0.33199623,0.33505848,0.33252516,0.323989,0.31325212,0.30889705,0.3172589,0.33524552,0.3502854,0.35083863,0.33525458,0.3120447,0.2910154,0.2772672,0.27089414,0.2707298,0.27591082,0.2848135,0.29370645,0.29796872,0.29518834,0.28723392,0.27881888,0.27354673,0.27263892,0.27507392,0.28109977,0.2903563,0.30187503,0.31140438,0.31519824,0.31179538,0.3037009,0.29459468,0.28680804,0.28109518,0.2776642,0.27774763,0.28205365,0.28996193,0.2977915,0.3012955,0.2972599,0.28661624,0.27258083,0.2591798,0.24823119,0.24069189,0.23781995,0.24249835,0.25605962,0.27502826,0.29091933,0.29575166,0.28841433,0.2739366,0.2586821,0.24413194,0.22992118,0.21718411,0.2119401,0.22052693,0.24327381,0.27224267,0.29361618,0.29882255,0.28767824,0.2693385,0.25188383,0.2393946,0.23178844,0.2300644,0.23671538,0.2512914,0.2682631,0.27970433,0.28263804,0.2800088,0.2769718,0.2748359,0.2727872,0.27101013,0.2731924,0.2816749,0.29320297,0.30000758,0.29598376,0.2837259,0.27158237,0.2674761,0.27086097,0.27536872,0.2749424,0.2704827,0.26811102,0.27289042,0.28401014,0.2950916,0.29911998,0.29162773,0.27379236,0.25136402,0.23330362,0.22579558,0.2302203,0.24274297,0.25825953,0.2719231,0.28045854,0.28319883,0.2822515,0.28129628,0.28209516,0.28390074,0.28487954,0.28529426,0.2884625,0.29756156,0.31228626,0.3261,0.3312384,0.32281414,0.30352017,0.27944672,0.25737527,0.24123734,0.23514949,0.24304695,0.26742885,0.302832,0.33685732,0.35536322,0.35377613,0.33786273,0.31876013,0.30329886,0.29320407,0.288316,0.29039577,0.301489,0.3201945,0.339803,0.35122836,0.34833798,0.33220646,0.30971894,0.28925672,0.27542904,0.26834476,0.26494014,0.262799,0.2616403,0.26298293,0.26685953,0.27058998,0.27013007,0.26421797,0.25449166,0.24474573,0.23738648,0.23567651,0.24215019,0.2579647,0.2780126,0.29311165,0.29650915,0.28930554,0.2798754,0.2746389,0.27517927,0.27771556,0.2808412,0.2849516,0.2917287,0.29864943,0.30126718,0.29576972,0.28350994,0.2687241,0.2552533,0.24243395,0.22741973,0.20833291,0.18791372,0.17153625,0.164181,0.16772944,0.18092425,0.2000735,0.2192917,0.23167181,0.23113084,0.21474235,0.18352954,0.14261834,0.09995845,0.06439824,0.042788476,0.037042227,0.043534975,0.054027002,0.060921233,0.06014749,0.053390548,0.04434981,0.03656515,0.030905979,0.026781715,0.022803234,0.018279271,0.0132463435,0.008480315,0.004659449,0.0021547803,0.00079653313,0.00023631465,7.8772166E-05]