[0.04642137,0.06922324,0.11711236,0.16986966,0.208342,0.22193758,0.2147903,0.19700241,0.17820597,0.16155124,0.14697672,0.13339984,0.12076146,0.1095725,0.100816555,0.09590215,0.096007384,0.10112763,0.10910756,0.11637091,0.119710475,0.11819443,0.113410495,0.10803073,0.10398885,0.10162386,0.10019138,0.09892035,0.09756017,0.09620511,0.095217995,0.09549718,0.09891746,0.10674312,0.11803522,0.12875968,0.13490354,0.13507675,0.13161832,0.12778454,0.12565319,0.12540023,0.12652622,0.12862855,0.13163799,0.13579571,0.14173,0.14982614,0.15927736,0.16748013,0.17151786,0.17006469,0.16447265,0.15737915,0.15097165,0.1459967,0.14230494,0.13936967,0.13660115,0.13323677,0.12892012,0.12420199,0.120858975,0.12058535,0.12358439,0.12779789,0.1305127,0.13027771,0.12786148,0.12496827,0.122889094,0.12168628,0.12094652,0.12013055,0.11917504,0.11811867,0.11767266,0.1195998,0.1273492,0.14367099,0.16784628,0.19341505,0.21231318,0.2193849,0.21616048,0.20738329,0.19751976,0.18776439,0.17756587,0.16610141,0.1536323,0.14164442,0.13327426,0.13332747,0.14606144,0.17135185,0.20186375,0.22644287,0.23670648,0.23242563,0.21929519,0.20374966,0.18865319,0.1739641,0.158853,0.14349608,0.12918691,0.11790693,0.111606,0.11179862,0.118487455,0.12994279,0.14230466,0.15187176,0.15645742,0.15686674,0.15510039,0.15298024,0.15097763,0.14901006,0.14726548,0.14638929,0.1471613,0.15006287,0.1557185,0.16414554,0.17426693,0.1827616,0.1862712,0.18321814,0.17551197,0.16639598,0.15836607,0.15193665,0.1465417,0.14159799,0.13681443,0.132131,0.1283165,0.12777662,0.13463682,0.15203173,0.17911066,0.20968442,0.23549516,0.25050238,0.2535773,0.2472576,0.23538671,0.22126634,0.20741193,0.19536042,0.18571483,0.17821606,0.17251588,0.16870522,0.16678298,0.16600348,0.16429539,0.15994632,0.15255676,0.14390999,0.13611513,0.13054799,0.12714863,0.12548697,0.12536852,0.12670255,0.12894867,0.13093157,0.131629,0.13079876,0.12914759,0.1275761,0.12649608,0.12554257,0.12398591,0.12123501,0.1171703,0.11197475,0.105898015,0.09909906,0.09189888,0.084908806,0.07958142,0.07895721,0.088860326,0.11594156,0.16295177,0.22296536,0.2809237,0.32170418,0.33988822,0.34101677,0.33506826,0.32839462,0.3214554,0.31225976,0.30014724,0.286789,0.27428553,0.26430133,0.2579951,0.2560433,0.2570955,0.2572619,0.2522911,0.24070472,0.22487046,0.2084679,0.19393216,0.18151164,0.17053209,0.16061479,0.15213948,0.14613359,0.14322741,0.14308445,0.14407781,0.14471674,0.14443685,0.14367336,0.14264269,0.14115523,0.13900675,0.1366881,0.1347241,0.13342828,0.13263959,0.13241442,0.13272943,0.13348989,0.13459474,0.13644506,0.13948238,0.14331526,0.14630002,0.14673088,0.14399981,0.1388809,0.13262285,0.12608854,0.11989909,0.11451415,0.110809796,0.109310895,0.11048025,0.11417594,0.12071732,0.12978287,0.14048351,0.14991778,0.15559448,0.15591796,0.15225546,0.1464243,0.140507,0.1350842,0.13042934,0.12632878,0.12242713,0.11848056,0.11435764,0.11111489,0.110235445,0.11335859,0.12045982,0.12946908,0.13711517,0.14043866,0.13888644,0.13366635,0.12736738,0.121704005,0.11764991,0.115252435,0.114615254,0.11648041,0.12254468,0.13593525,0.15839238,0.18775918,0.21556056,0.23194493,0.23151271,0.21745974,0.19785643,0.18004435,0.16720666,0.1592191,0.15466255,0.15207048,0.15019907,0.14887142,0.14924505,0.15417854,0.16591786,0.18406165,0.20344454,0.21703868,0.2197038,0.2119023,0.19792116,0.18281455,0.16951473,0.15888797,0.15076183,0.14453913,0.13994771,0.13713187,0.1373507,0.14166279,0.15016007,0.16061407,0.170143,0.17640789,0.1793725,0.18060504,0.1824003,0.18637006,0.19233958,0.1986777,0.20285816,0.20339398,0.1998692,0.19345324,0.18568206,0.1782933,0.17180789,0.16590546,0.15962438,0.1528783,0.14614953,0.14022295,0.13522936,0.13098536,0.12712793,0.123469315,0.12010482,0.1180904,0.11952386,0.1264633,0.13814723,0.15040989,0.15713297,0.1549497,0.14422305,0.1292504,0.11474297,0.105223835,0.102696486,0.10696141,0.115121186,0.12378782,0.13007648,0.13292284,0.13267966,0.13123493,0.13071615,0.13282599,0.13743185,0.14346153,0.14912646,0.1534547,0.15557353,0.15537511,0.1528214,0.1486711,0.14365311,0.1383895,0.13373311,0.13222826,0.13946517,0.16127104,0.19962208,0.2481454,0.29547974,0.33057758,0.34894595,0.35178366,0.34341943,0.32805148,0.30919114,0.28996992,0.27299222,0.26040527,0.2528915,0.24990076,0.24898069,0.2476589,0.24381144,0.2378882,0.23123355,0.22609846,0.22308086,0.22188866,0.22117089,0.21961416,0.21647064,0.21154213,0.20633207,0.20308107,0.20474546,0.21200784,0.22319148,0.23437744,0.2426508,0.24714512,0.24864782,0.2479936,0.24556917,0.24205995,0.2381338,0.23397096,0.22898953,0.22362567,0.22016841,0.22241853,0.23168732,0.24562323,0.25779045,0.26381192,0.26271978,0.2584648,0.25432536,0.2519506,0.25000325,0.24686234,0.24109577,0.23219746,0.22049737,0.20734195,0.19483028,0.18497634,0.17880571,0.17611812,0.17580438,0.17673354,0.17797649,0.17927192,0.18064444,0.18260722,0.1854469,0.18902962,0.19238222,0.19414352,0.19336438,0.19045542,0.18761128,0.18838261,0.19543809,0.20865203,0.22385554,0.23573636,0.24070413,0.23909898,0.23332268,0.22566985,0.21709633,0.20786697,0.1984003,0.18925239,0.18125106,0.1758882,0.17658234,0.18724926,0.2102383,0.24254477,0.2775695,0.30748156,0.3278897,0.33742443,0.33726117,0.32939544,0.31631052,0.30032882,0.28284806,0.26503113,0.24847798,0.23602355,0.2298919,0.23010282,0.23336506,0.23533218,0.23307793,0.2270139,0.21987273,0.21475255,0.21318,0.21457605,0.21706946,0.21880485,0.21893634,0.21824591,0.21918894,0.22576563,0.24058132,0.2624959,0.285292,0.3023051,0.3100933,0.31026614,0.3057778,0.2985644,0.28876796,0.27631027,0.26152167,0.245313,0.22938168,0.21659599,0.21087152,0.21557902,0.23118377,0.2535886,0.27565897,0.29127207,0.29874912,0.3003461,0.2986687,0.29418954,0.28586102,0.2737589,0.25987604,0.24693692,0.23621708,0.22732837,0.21932541,0.21215285,0.20658155,0.20310853,0.20104825,0.19863726,0.19420944,0.18709533,0.17808108,0.16867696,0.1604019,0.15383083,0.14875293,0.14438832,0.14021634,0.13595925,0.13173926,0.12762119,0.1237487,0.120128326,0.116916366,0.11435174,0.11279165,0.11243952,0.1131039,0.114251785,0.11519145,0.11547339,0.114982806,0.114575155,0.11668617,0.1258977,0.14660583,0.17952017,0.21921402,0.25659046,0.28483167,0.30215898,0.3122251,0.3185059,0.32420316,0.32887378,0.33271623,0.3341924,0.3342985,0.33271733,0.33052716,0.32632387,0.31986475,0.31044614,0.29977128,0.28920504,0.27973664,0.27072117,0.2610582,0.25043193,0.2391782,0.22844516,0.21862738,0.20987552,0.20159936,0.19406253,0.18812115,0.18487243,0.18400998,0.18357216,0.18147291,0.17702349,0.17177492,0.16779637,0.16640842,0.1671768,0.16899715,0.1710444,0.17326634,0.17617983,0.18084426,0.18952648,0.20401384,0.22356373,0.24282496,0.2554803,0.25837612,0.25421104,0.24864168,0.24607013,0.24753971,0.25104702,0.25400284,0.2544663,0.25205222,0.24734545,0.24139535,0.23538388,0.23012187,0.22605889,0.2226587,0.21916483,0.21421064,0.20710044,0.19764954,0.1876389,0.17933643,0.1747111,0.17386071,0.17585164,0.17952323,0.18350422,0.18676424,0.18845981,0.18955813,0.19110917,0.19444966,0.19902663,0.2043621,0.20911491,0.21292417,0.21475093,0.21419294,0.21074452,0.2048712,0.19725351,0.18858267,0.18029325,0.17517757,0.1771739,0.18756546,0.20253901,0.21441032,0.21726416,0.21121311,0.20098196,0.19159321,0.18462026,0.17919886,0.17361532,0.16750912,0.16178413,0.15899082,0.16282946,0.17604733,0.19824083,0.2238455,0.24615444,0.26103508,0.27031645,0.27775848,0.28517076,0.29023728,0.2899677,0.28429785,0.2767185,0.2711674,0.26896662,0.2687552,0.26912448,0.2697067,0.27074412,0.27081636,0.26824024,0.26207796,0.25416282,0.24693555,0.24234194,0.24024802,0.23959972,0.23906612,0.23807089,0.23715259,0.23821485,0.24422704,0.25642574,0.27265927,0.28625676,0.2913867,0.28583738,0.27339926,0.25904098,0.24641502,0.2362957,0.22848779,0.22338317,0.22140099,0.22276111,0.22635369,0.23146956,0.23715734,0.2431193,0.24771206,0.24980474,0.24829477,0.24404766,0.23811354,0.23160209,0.22477876,0.21762858,0.21060102,0.2040935,0.19850646,0.19333005,0.18817203,0.18252836,0.1766504,0.1707617,0.16548598,0.16102952,0.1574526,0.15441382,0.1516032,0.14902182,0.14678389,0.14516681,0.14391442,0.14264373,0.14110184,0.14088541,0.14604223,0.16139473,0.18850398,0.22203527,0.25194773,0.2687883,0.2696117,0.25741172,0.23793255,0.21560214,0.19308889,0.1718662,0.15296979,0.13677517,0.12300661,0.11110514,0.10076066,0.09194193,0.084655695,0.078773394,0.07406938,0.07035112,0.06732189,0.0647557,0.062471684,0.061474767,0.06468346,0.07753781,0.10424024,0.14348394,0.18628992,0.22148208,0.2427456,0.25108087,0.2509007,0.24573202,0.23877917,0.23613554,0.2455383,0.2712319,0.3078442,0.34403083,0.37024188,0.38622943,0.39824986,0.4120737,0.42781925,0.4414138,0.4484508,0.447009,0.4369736,0.41929665,0.39444837,0.36337283,0.3275634,0.2895809,0.25144064,0.21444689,0.18024312,0.15259917,0.13525228,0.12864268,0.12934785,0.13545203,0.15055928,0.17887901,0.2166907,0.24850683,0.25916192,0.24463405,0.2158496,0.18572791,0.16250472,0.14940995,0.15255503,0.1768868,0.2189374,0.2617756,0.28630432,0.28314817,0.2593386,0.23073716,0.21470517,0.22286196,0.25853375,0.3136877,0.37227193,0.41783476,0.44210866,0.44571534,0.4342927,0.41339388,0.3880929,0.36228153,0.33890882,0.31873238,0.30118975,0.285143,0.26957202,0.25388685,0.23763977,0.2208063,0.20341165,0.18547398,0.1672739,0.14947923,0.13403986,0.12344805,0.121349275,0.13132264,0.15466468,0.18623681,0.21290721,0.22070551,0.20353563,0.17071234,0.14028114,0.13149409,0.15186392,0.19611578,0.2467482,0.2883478,0.31517506,0.3344264,0.3545979,0.378137,0.39971805,0.4122013,0.40951315,0.3879367,0.3488251,0.3025765,0.26693365,0.25567707,0.26755694,0.28481844,0.2874421,0.26730457,0.23455198,0.20827146,0.20347406,0.22214644,0.25331545,0.28324378,0.30298188,0.31413147,0.32038054,0.32272413,0.31440666,0.29019585,0.25135198,0.20921081,0.17666541,0.16206992,0.16472347,0.17801394,0.19311386,0.20299546,0.20407958,0.19653177,0.18348767,0.1691928,0.15686531,0.14698756,0.13785537,0.1276794,0.11647624,0.10588988,0.09762949,0.09255908,0.09071223,0.092168964,0.09611562,0.100912474,0.10364056,0.10300416,0.099534504,0.095922716,0.09393731,0.094092906,0.09547687,0.097294636,0.098927855,0.09987524,0.09941297,0.09727494,0.09459289,0.09498467,0.1027571,0.12010012,0.14373873,0.16700797,0.18358307,0.1916927,0.19313073,0.19084562,0.18656468,0.18088698,0.17411427,0.16670336,0.1598562,0.15577511,0.15824896,0.17031437,0.19188839,0.2174084,0.23901744,0.2507172,0.25184432,0.24555744,0.23551065,0.22379757,0.21096109,0.19741495,0.18380369,0.17124464,0.16097236,0.1540543,0.15027754,0.14782803,0.14390524,0.13771538,0.13188656,0.13226731,0.14222644,0.15904552,0.17316562,0.17607532,0.16623153,0.1518907,0.1459053,0.16131999,0.20359941,0.26695105,0.33098397,0.37232938,0.3759496,0.34723392,0.30377412,0.26465335,0.23653316,0.21612392,0.1962242,0.17540099,0.15809722,0.15249828,0.16588067,0.20085903,0.25237754,0.30692843,0.3500593,0.3733684,0.3794556,0.37602928,0.37024808,0.3639106,0.35584715,0.3450913,0.33368388,0.32509026,0.32108283,0.32009935,0.31938878,0.317825,0.31713733,0.3191581,0.32498065,0.3334305,0.34373498,0.35386407,0.36164537,0.36361074,0.3586683,0.34846663,0.33606339,0.32100058,0.2988137,0.26648661,0.22980456,0.2040729,0.20332156,0.22899015,0.26561558,0.29308566,0.29878852,0.2852383,0.26292902,0.24336101,0.2334304,0.23625775,0.25042108,0.2702315,0.2866294,0.29306364,0.28926912,0.2825694,0.28107658,0.28820196,0.29882702,0.3047066,0.29983652,0.285213,0.26643863,0.25097868,0.24461462,0.24934876,0.2622687,0.27601686,0.28352126,0.2804515,0.26766062,0.24809058,0.22632585,0.20563209,0.18851376,0.17538954,0.16646163,0.16096745,0.15820326,0.1569503,0.15778433,0.16244227,0.17170358,0.18247174,0.18899684,0.18869649,0.18462823,0.18326811,0.18711896,0.19286251,0.19454177,0.18941462,0.17945617,0.16834413,0.15862058,0.15064369,0.14411278,0.13839202,0.13297296,0.12781034,0.12473008,0.12788881,0.14169066,0.16674776,0.19733399,0.22379063,0.23907226,0.24293838,0.24102058,0.23887318,0.23864861,0.2387458,0.2368929,0.23146914,0.22224806,0.20978892,0.19566406,0.18183035,0.17023152,0.16174094,0.15617265,0.15239334,0.14903031,0.14488411,0.13917993,0.13182609,0.12314165,0.11399743,0.10518414,0.09751185,0.0915493,0.088377275,0.090090334,0.09897537,0.11607202,0.13878137,0.16214581,0.18051429,0.19258855,0.20272307,0.2206736,0.25317037,0.2969317,0.3358818,0.35268834,0.3419074,0.3170241,0.30079135,0.31030694,0.34679797,0.39783964,0.44727978,0.48347545,0.5013811,0.498448,0.472085,0.42161933,0.35341597,0.2839038,0.23506953,0.2269588,0.26563275,0.33967766,0.42143703,0.48288143,0.508281,0.5018011,0.48001575,0.4599812,0.4508985,0.4525571,0.4609213,0.4720082,0.48333701,0.49068537,0.48582792,0.46098152,0.4162738,0.3662715,0.3316982,0.32665288,0.34495378,0.36541882,0.36402583,0.33105198,0.27360097,0.21039003,0.15839417,0.12645407,0.11591533,0.1280467,0.16672878,0.23270528,0.31572938,0.39474916,0.45037636,0.47616956,0.48035002,0.47515485,0.46679315,0.4522548,0.4238688,0.37710527,0.31444937,0.24663424,0.18791409,0.15390569,0.15531306,0.19337626,0.25414217,0.314522,0.35443044,0.36814725,0.36266485,0.34776673,0.32830122,0.30427548,0.27613357,0.24751717,0.2231874,0.20444809,0.18773812,0.16900033,0.14900161,0.1336544,0.13020824,0.1427628,0.17341052,0.2199939,0.27635384,0.3292905,0.36711586,0.38416886,0.3853055,0.3778564,0.36682403,0.3519499,0.33133805,0.30393445,0.27060115,0.23500945,0.20354676,0.1836977,0.1784122,0.1831068,0.18772388,0.18459821,0.17324007,0.15925209,0.14828672,0.14231859,0.13958462,0.13754843,0.13499671,0.13288365,0.13361512,0.13905829,0.14855744,0.15806878,0.16275692,0.16025132,0.15240337,0.1431183,0.13521105,0.12894143,0.12311647,0.11698594,0.11090458,0.105795674,0.10230321,0.1012074,0.10433239,0.11490204,0.13471411,0.16144471,0.18764406,0.20545958,0.21076547,0.2052962,0.19328332,0.17863102,0.16321658,0.14782746,0.13289832,0.11906335,0.10756729,0.100229025,0.10110268,0.11584753,0.15293299,0.21535397,0.2982045,0.38304588,0.45175517,0.4924427,0.5081622,0.50580025,0.4908956,0.4618592,0.4158012,0.3552285,0.29332766,0.2530281,0.25307253,0.29577732,0.35828003,0.40757695,0.4163942,0.38114938,0.317503,0.25064346,0.19938613,0.17241639,0.17169584,0.1963736,0.2403044,0.2856555,0.3097615,0.3007385,0.27169672,0.25160658,0.26330772,0.30542576,0.35707435,0.39515242,0.4094994,0.40313256,0.3850064,0.36221433,0.3383521,0.31444523,0.29084888,0.26879063,0.2508627,0.24133617,0.24332376,0.25622287,0.2733947,0.2856036,0.2866728,0.27847195,0.2700633,0.27118036,0.28602508,0.3100443,0.3340523,0.34869948,0.3494316,0.3373251,0.3187653,0.30239424,0.29359925,0.29120585,0.28674433,0.27117285,0.24013805,0.19953267,0.16237246,0.14421903,0.15331392,0.18635066,0.22747739,0.25777322,0.2649733,0.25121555,0.22898929,0.21227051,0.206954,0.20953137,0.21188056,0.2082537,0.1984312,0.18577085,0.17368431,0.16330522,0.15411817,0.1449367,0.13504906,0.12439114,0.114026375,0.10562507,0.10101035,0.10032008,0.10230241,0.10406097,0.10409466,0.10158525,0.09770679,0.092812926,0.08783542,0.083006084,0.07914881,0.07652088,0.0750396,0.07457307,0.07512582,0.07741308,0.08135282,0.08627879,0.09022382,0.091946416,0.09106123,0.088554405,0.0854192,0.08228823,0.0793105,0.07646048,0.07380104,0.07131347,0.07026603,0.07436616,0.091007166,0.12585038,0.17749333,0.23284681,0.27568603,0.2952467,0.29350546,0.27914366,0.26171276,0.2468868,0.23807041,0.23631096,0.24074493,0.2500034,0.26684493,0.29691827,0.34135303,0.3878839,0.41585875,0.41152468,0.38041583,0.34291688,0.31669238,0.30466902,0.29577142,0.27937502,0.2555009,0.23646347,0.2372474,0.26408958,0.30957034,0.35564843,0.3862232,0.3954841,0.39016953,0.38023588,0.37162784,0.36327887,0.35215828,0.33639002,0.3171644,0.29541874,0.27155083,0.24436732,0.2147639,0.18665051,0.16827516,0.16704743,0.18469335,0.21273804,0.23784123,0.24933888,0.24738485,0.2416238,0.24592607,0.2697269,0.3126628,0.36424145,0.41021165,0.44152427,0.45870033,0.46824536,0.47567096,0.48111668,0.4805317,0.468098,0.4389126,0.39296803,0.33971822,0.2989608,0.2893342,0.31499216,0.3575376,0.38895035,0.3875809,0.3522438,0.29825976,0.24882145,0.22103031,0.21729064,0.22429937,0.2228769,0.20497309,0.17981672,0.1696843,0.19015437,0.24062079,0.30111593,0.34916142,0.3715295,0.3722529,0.36272725,0.35201776,0.34139037,0.32865122,0.31371233,0.29863325,0.2849942,0.27122232,0.2549098,0.23506196,0.2131101,0.1913613,0.17175698,0.15539704,0.14255999,0.13269301,0.12551147,0.12216907,0.1259304,0.1391756,0.16018803,0.18176089,0.19553907,0.19754241,0.19192536,0.18921779,0.20203613,0.23659723,0.28788665,0.33687767,0.36241332,0.3530972,0.32019082,0.28889903,0.28175202,0.29885867,0.3189468,0.3172634,0.28514507,0.23518986,0.18739747,0.15685028,0.14850469,0.16451527,0.20566094,0.26904798,0.34208703,0.40701088,0.44993392,0.46876565,0.47098303,0.4663084,0.46140862,0.45895758,0.45971966,0.4632237,0.4685835,0.47474816,0.48093757,0.48512092,0.48245636,0.46501812,0.42651019,0.36767867,0.30029055,0.24272887,0.21189938,0.21351409,0.24009085,0.27518594,0.30355576,0.31754056,0.3182445,0.31028363,0.29772925,0.28257993,0.26629508,0.25032502,0.23622747,0.22559124,0.22054102,0.22207282,0.22761674,0.22996102,0.2219596,0.20225435,0.17912956,0.16622329,0.17692266,0.21601677,0.27823412,0.34812996,0.40927562,0.45011857,0.46955216,0.4724011,0.46591607,0.45540226,0.44460845,0.43509996,0.42626497,0.4154868,0.40025112,0.3805728,0.35908702,0.3390844,0.32178864,0.30679688,0.29301402,0.28026107,0.26818457,0.25672975,0.24592245,0.2373109,0.23312618,0.23589842,0.2460987,0.26130608,0.2757502,0.28293476,0.27789274,0.2595248,0.23100878,0.19959225,0.17468292,0.1637197,0.1703567,0.19282025,0.22756398,0.2682712,0.30884054,0.3423803,0.3653752,0.37732434,0.38153422,0.38257542,0.3848239,0.39043477,0.3986448,0.40674642,0.41214696,0.41470635,0.41577685,0.4169605,0.41693115,0.41326264,0.40322348,0.38770497,0.3700539,0.3555573,0.34703612,0.34372786,0.34128082,0.33596027,0.32682455,0.3157263,0.30397287,0.29069424,0.27324665,0.24984658,0.22143872,0.19219887,0.16756988,0.15166916,0.14493628,0.14475212,0.14707369,0.14901334,0.14914131,0.14753266,0.1446381,0.14171197,0.14075272,0.14481865,0.1556452,0.17201312,0.18875588,0.20047219,0.20438719,0.201914,0.19661294,0.19323313,0.19842957,0.21912593,0.25864443,0.31042054,0.36031494,0.39327407,0.40359044,0.3959017,0.38021132,0.3634118,0.3462303,0.3266903,0.30442193,0.28303468,0.26722547,0.2618886,0.27049792,0.2935953,0.3254669,0.35429987,0.3693078,0.36712715,0.35380793,0.33754075,0.3236833,0.31269655,0.30324447,0.29353473,0.2817154,0.26654628,0.24880107,0.2321233,0.22030854,0.21413259,0.2102169,0.20467766,0.19728293,0.19211192,0.19318162,0.19991724,0.20675562,0.20775461,0.2008353,0.18863422,0.1753288,0.16378014,0.15441754,0.14621516,0.13792397,0.12895013,0.12028438,0.11480709,0.11718035,0.13052948,0.15345192,0.17803848,0.19472742,0.19764961,0.1886891,0.1741683,0.16038197,0.15002401,0.14280015,0.1371455,0.1316432,0.12557404,0.11888202,0.112253875,0.107017756,0.10490214,0.107469566,0.1146369,0.1244635,0.1330678,0.1373065,0.13540803,0.1284526,0.11878004,0.10942561,0.102437876,0.09836739,0.096881784,0.09820342,0.10553687,0.12526762,0.16314922,0.21846318,0.27993825,0.3317986,0.36213186,0.3699645,0.3606136,0.33925283,0.30681157,0.26390147,0.21502607,0.16893709,0.13424686,0.11729974,0.12316998,0.1576852,0.2217017,0.30552706,0.38785842,0.44858706,0.4788039,0.48404074,0.47466087,0.45845655,0.43794772,0.41358605,0.38710046,0.36200535,0.34223363,0.32965338,0.32400694,0.32399675,0.32886443,0.337486,0.34756827,0.35536924,0.35868046,0.35926196,0.362662,0.37344137,0.38942647,0.401652,0.3996241,0.37988636,0.3477193,0.31413957,0.2875584,0.2714331,0.26521704,0.27048734,0.29000452,0.32410052,0.36490545,0.40026185,0.42113245,0.42770064,0.42666283,0.4243051,0.42228618,0.4186065,0.4119375,0.40387103,0.39712104,0.39228666,0.3856779,0.37323412,0.35403144,0.33340216,0.31734303,0.30848357,0.30237404,0.2933725,0.27873257,0.26163474,0.24711482,0.23898256,0.23853762,0.24489737,0.25608504,0.2679081,0.27757406,0.28511855,0.2965628,0.31744564,0.34801093,0.37911272,0.39890373,0.39967883,0.38185427,0.35097012,0.31367925,0.27613446,0.24316043,0.21884954,0.20583461,0.20671557,0.22200024,0.24856766,0.27829325,0.30226967,0.3161793,0.32193992,0.32490316,0.32830247,0.3323684,0.3346264,0.3331441,0.32674828,0.3159429,0.3024589,0.2894497,0.2810961,0.28118908,0.29238573,0.31435585,0.34284517,0.36790776,0.3767412,0.35976365,0.31831494,0.26502267,0.21688849,0.18573727,0.17454587,0.18053763,0.19987549,0.23019858,0.26799157,0.306825,0.336417,0.3484695,0.33996156,0.31472227,0.27811226,0.23507285,0.18989258,0.14937495,0.12197318,0.11601455,0.13423423,0.17190368,0.21585234,0.2521961,0.27225816,0.27695358,0.27119982,0.25873336,0.23964311,0.21377482,0.18405914,0.1559836,0.13547842,0.1268998,0.13420539,0.15920658,0.19912802,0.24303472,0.276739,0.28983864,0.2827451,0.26347426,0.24140978,0.22101294,0.20225048,0.183459,0.16442782,0.14665186,0.13222848,0.12238738,0.11878847,0.12524988,0.1495115,0.19618364,0.26073197,0.3250651,0.37058362,0.3883761,0.3860682,0.3758625,0.3658557,0.35509515,0.34020332,0.3201649,0.29782173,0.27701804,0.2600626,0.2474076,0.23764108,0.22777629,0.21354263,0.19231631,0.16553552,0.13885365,0.11823496,0.106310904,0.101644516,0.10244191,0.10968163,0.12791528,0.15858237,0.19766842,0.23495859,0.26426014,0.2837304,0.29553378,0.2985061,0.29256067,0.28304544,0.28215837,0.2996799,0.3337759,0.3707379,0.39531687,0.40100923,0.39247537,0.37893376,0.3677713,0.36218372,0.36266646,0.36792573,0.37491313,0.37957788,0.3790642,0.37295792,0.3631834,0.35179317,0.34009632,0.3275227,0.31240085,0.2933472,0.27219483,0.25536,0.2500488,0.25854853,0.2740599,0.2862506,0.28837273,0.28322777,0.2780681,0.27868643,0.28379264,0.2883341,0.28704002,0.27804467,0.26229575,0.24330254,0.22701442,0.21961747,0.2244184,0.2383055,0.2541976,0.26469383,0.26642886,0.26006502,0.24864793,0.23545267,0.22223167,0.209621,0.1973532,0.18573312,0.17540753,0.16760528,0.16359091,0.16397502,0.16808091,0.17348158,0.17785002,0.17997895,0.18083888,0.18159336,0.18274744,0.18348074,0.18303114,0.18126808,0.17868447,0.17552553,0.1714164,0.16563052,0.15788879,0.14862461,0.1389185,0.12980555,0.12216142,0.11660207,0.11378664,0.11407586,0.11718132,0.121822394,0.12619798,0.12867393,0.12838794,0.12541999,0.12166137,0.12159131,0.13191001,0.15667899,0.19305079,0.23011263,0.25679722,0.26820827,0.26844501,0.26428005,0.26081935,0.25912333,0.25850847,0.2578094,0.256182,0.25314766,0.24859554,0.2433448,0.23875809,0.23674528,0.23757255,0.24001975,0.24097161,0.2387207,0.2329837,0.22575133,0.21881787,0.21352279,0.20975584,0.20676519,0.20383172,0.20152658,0.2015677,0.20540768,0.21187067,0.21825905,0.22389764,0.23443526,0.25787964,0.29698268,0.34179053,0.3747044,0.38003168,0.35456273,0.30820537,0.26058438,0.23288302,0.2399921,0.28288987,0.34789562,0.41316703,0.45979008,0.47746363,0.46490797,0.42643496,0.37168565,0.31379008,0.26708698,0.24261291,0.24698013,0.27960095,0.33166263,0.38563862,0.42354885,0.4341798,0.41759396,0.38145247,0.33785608,0.30121288,0.28440544,0.29358792,0.32264605,0.3568211,0.37999693,0.38377762,0.36791778,0.33697644,0.29589006,0.2506865,0.20942332,0.18061179,0.16906758,0.17429121,0.1929939,0.2211641,0.25384748,0.28296497,0.2998241,0.29944977,0.28475878,0.26447943,0.24817444,0.24146129,0.24438898,0.25413877,0.26704094,0.28083086,0.29324064,0.30260372,0.30790052,0.30908212,0.30647323,0.2994932,0.2884511,0.27402374,0.2591816,0.2477346,0.24667065,0.26217547,0.29643926,0.34168577,0.38484958,0.41434753,0.42770687,0.42914498,0.42347017,0.41112873,0.38874137,0.35471582,0.3125163,0.2714118,0.241031,0.22751512,0.23019965,0.24260907,0.25546286,0.2618035,0.26222718,0.2637621,0.27593684,0.30267167,0.34050164,0.3777075,0.4000663,0.39596978,0.3647506,0.3190851,0.2804495,0.26492277,0.2721605,0.28617528,0.28984717,0.27771306,0.2573611,0.23970771,0.23024863,0.22746561,0.22676216,0.22477782,0.22080033,0.21601383,0.21176825,0.2086261,0.20624997,0.2042036,0.20243305,0.2020269,0.20394532,0.20800765,0.21114491,0.20964587,0.20137633,0.18812402,0.17345816,0.16050094,0.14997523,0.1414568,0.13426368,0.12846497,0.12382737,0.12001822,0.116606176,0.115571655,0.122126184,0.14389859,0.18517566,0.24163641,0.299261,0.34043708,0.3521469,0.33161822,0.28643915,0.23111694,0.18031834,0.14412096,0.12867497,0.1429953,0.20190342,0.3119407,0.45473614,0.581583,0.6461969,0.6333534,0.57364076,0.50971526,0.47218418,0.4621173,0.4696294,0.48243463,0.49559927,0.50644803,0.51428026,0.5189062,0.5202694,0.51889205,0.5144949,0.5072215,0.4969993,0.4847026,0.47228983,0.4623885,0.4572554,0.45710123,0.46013963,0.4634215,0.46464345,0.4633744,0.46121415,0.460585,0.4631802,0.46897435,0.47640336,0.48326895,0.48746613,0.48838785,0.4866555,0.48393622,0.48082435,0.4766432,0.47003302,0.46077713,0.45152792,0.4466721,0.4499807,0.4597104,0.46909177,0.46969596,0.45871437,0.4397333,0.42000484,0.40474486,0.39571297,0.39190307,0.39125824,0.3920734,0.39386988,0.39743683,0.4032592,0.40984932,0.41467345,0.41554615,0.41177785,0.40192285,0.38381088,0.35591793,0.3208891,0.28478417,0.25447863,0.23520653,0.23130603,0.24678159,0.28132713,0.3273464,0.3705845,0.40063104,0.415135,0.41908762,0.41415206,0.39821282,0.36898348,0.33175686,0.2965215,0.27191114,0.26064643,0.2622552,0.2773523,0.30642712,0.34619737,0.3886204,0.4274049,0.4621669,0.49414095,0.51862764,0.525147,0.50782293,0.47386038,0.43920648,0.41999987,0.42140245,0.44077206,0.4675808,0.49364305,0.5125639,0.52376074,0.52763456,0.5257837,0.51959294,0.5108416,0.5012551,0.49147615,0.48146522,0.47116348,0.4616976,0.4550432,0.452481,0.45317855,0.45475242,0.4550664,0.45424446,0.4540087,0.45671555,0.46336058,0.47247717,0.47954807,0.4784967,0.4659669,0.44428492,0.4210242,0.40420794,0.3979664,0.40090266,0.4074185,0.41114676,0.40917227,0.404742,0.40490925,0.41463566,0.430824,0.44403544,0.4436179,0.42647627,0.39712465,0.3656722,0.33942688,0.32117125,0.30851343,0.29906526,0.29280353,0.2929795,0.30249017,0.32027486,0.3406638,0.35658884,0.3638879,0.36252674,0.35507688,0.34395525,0.33081222,0.31727743,0.30618104,0.29993936,0.29893366,0.30076376,0.30286077,0.30411422,0.30485275,0.30550212,0.30575523,0.30486083,0.3017485,0.29644594,0.29095972,0.28861168,0.2908088,0.2950767,0.2966949,0.29261836,0.28381738,0.27479407,0.27110735,0.2757472,0.28940657,0.31297794,0.353561,0.41397265,0.4830211,0.5288509,0.52655417,0.47838286,0.41706952,0.3746252,0.3608999,0.36539236,0.37385654,0.38092804,0.38556078,0.38909557,0.3905772,0.39139712,0.39286098,0.3973526,0.4034216,0.4070542,0.40290022,0.39000836,0.37213206,0.35544708,0.34395066,0.33834383,0.33722353,0.33866063,0.34124914,0.34373608,0.34540668,0.3457224,0.3451171,0.34424385,0.34393862,0.34418774,0.34463432,0.34404072,0.34123138,0.33568934,0.3288468,0.32302216,0.31987524,0.31908914,0.32071945,0.32628998,0.33985904,0.36013913,0.3793684,0.38265944,0.36398342,0.32946095,0.29681113,0.27791682,0.2735189,0.27519166,0.27560627,0.27291548,0.26843107,0.2632946,0.2572606,0.25048253,0.24482284,0.24265309,0.24540721,0.25189447,0.2596282,0.26583782,0.26937965,0.26999173,0.26846805,0.26534078,0.26209843,0.25977853,0.25951627,0.26045534,0.26153383,0.26137683,0.26027226,0.25889528,0.2578745,0.25690472,0.25552234,0.25404087,0.25364563,0.2551231,0.2582946,0.26183692,0.26548195,0.26929364,0.27394018,0.280619,0.29427138,0.32428488,0.37518144,0.4387815,0.49004254,0.50766015,0.486148,0.44490457,0.40744206,0.3900076,0.39127132,0.40239248,0.41356865,0.4205686,0.42344007,0.42430976,0.42548022,0.42846903,0.43380287,0.439797,0.44359732,0.44273877,0.43768153,0.43051553,0.4234574,0.4174821,0.41368708,0.41321683,0.4163154,0.421133,0.42510757,0.42667568,0.42598474,0.423943,0.42120063,0.41812912,0.41433287,0.40939334,0.4028202,0.3951244,0.38687456,0.37827623,0.36909068,0.35957038,0.35087776,0.34482464,0.34339797,0.34949574,0.36389962,0.38465068,0.40399668,0.41594324,0.4175481,0.41314074,0.40671673,0.40088487,0.39485523,0.38802168,0.38147712,0.37730834,0.37822294,0.38492548,0.39641213,0.4091504,0.4193612,0.42415512,0.42272988,0.41591108,0.40609396,0.39668158,0.3912572,0.39107278,0.3945271,0.39795744,0.39920473,0.39813104,0.39631033,0.39468458,0.3937359,0.39364794,0.39466453,0.39658245,0.39850712,0.39939252,0.39877924,0.39689064,0.39438763,0.39126298,0.38687876,0.3802663,0.37157822,0.3627081,0.35799745,0.3640763,0.38856652,0.43281814,0.48686442,0.52900535,0.5421304,0.52419007,0.49214435,0.46443608,0.45164004,0.4511732,0.45735946,0.46445957,0.47029713,0.47279498,0.47227988,0.4696485,0.4681251,0.46838197,0.46970895,0.468524,0.46396253,0.45717263,0.45239675,0.45252165,0.45889232,0.46916112,0.47880104,0.48204628,0.47595575,0.46239662,0.44709122,0.43559143,0.4296418,0.42757657,0.42662224,0.42510566,0.42308643,0.42075267,0.41857576,0.4157186,0.41200766,0.40691945,0.400569,0.3921694,0.3816593,0.37142065,0.36729637,0.37450632,0.39218065,0.41128966,0.42100963,0.4169388,0.4042983,0.3923738,0.38630238,0.3842,0.38017425,0.37042248,0.35613763,0.34233856,0.33450305,0.33461806,0.34188116,0.35293695,0.36528316,0.37542406,0.38077894,0.3783596,0.3680131,0.35161066,0.33412158,0.32072484,0.3149456,0.3162525,0.32187888,0.32950422,0.3398827,0.35486737,0.375082,0.39677286,0.4128541,0.4144142,0.39579403,0.35855532,0.31395113,0.27874938,0.26673827,0.28099957,0.3130759,0.34931874,0.37908694,0.40003538,0.41757846,0.4409244,0.47432944,0.5126675,0.5405118,0.54396933,0.52009887,0.4814631,0.44657218,0.42742935,0.4244282,0.42944685,0.43564776,0.4400176,0.44309905,0.4449965,0.4453443,0.44472083,0.44437337,0.44521904,0.44569778,0.44389057,0.43904862,0.43347117,0.43028513,0.43155885,0.43678853,0.44391954,0.45089838,0.45660445,0.46096575,0.46417537,0.46623024,0.46642676,0.46379626,0.45766923,0.4491677,0.44111243,0.43740168,0.43944278,0.44485763,0.44756666,0.4427373,0.43031657,0.41565552,0.40600458,0.40600064,0.4167554,0.43472984,0.4530895,0.4621675,0.4550549,0.43180618,0.39984265,0.3682064,0.3417269,0.3204213,0.30249965,0.2872828,0.27550623,0.26858672,0.26868954,0.2785364,0.30035663,0.33296654,0.37027058,0.4024086,0.42097735,0.42323422,0.41341487,0.39892936,0.38691863,0.3811879,0.38220382,0.3856833,0.38498497,0.37363645,0.35198864,0.32736346,0.31189764,0.31376386,0.3326793,0.35901138,0.38035178,0.3891171,0.3861822,0.37737194,0.36739993,0.35660353,0.34476435,0.33396265,0.3301854,0.3387406,0.36272812,0.40026438,0.44351625,0.47792804,0.48856732,0.4710145,0.43659398,0.40486678,0.3887321,0.38721105,0.3908608,0.3919758,0.39031115,0.38998714,0.39460433,0.4026209,0.40862608,0.40735435,0.39830694,0.38564047,0.3741313,0.36592937,0.36147544,0.3618792,0.36959603,0.38523588,0.40480015,0.42018923,0.4239299,0.4151372,0.39950648,0.38503775,0.37561765,0.37090218,0.36911252,0.37002233,0.37379745,0.3787844,0.38136682,0.3785412,0.3707436,0.3611579,0.35321692,0.34744322,0.34251964,0.33796334,0.3366182,0.34323227,0.3570675,0.36998543,0.36798725,0.34606043,0.3104951,0.27757767,0.25758964,0.2523053,0.25563553,0.26283178,0.2713195,0.28050932,0.28833553,0.29297277,0.29322156,0.29120645,0.289624,0.29080805,0.29386488,0.2965106,0.2966087,0.29428244,0.29156816,0.29069448,0.29255655,0.29608998,0.2996054,0.30181065,0.30326042,0.30577782,0.31291863,0.3267782,0.3473948,0.3699709,0.3888102,0.397678,0.3931768,0.37447712,0.3469635,0.3212353,0.30834937,0.31164098,0.32472274,0.33627257,0.33987752,0.3394319,0.34970394,0.38262185,0.43626627,0.48684573,0.50926304,0.492501,0.45325384,0.41663,0.40261647,0.4131383,0.4393853,0.46869907,0.4906869,0.49998164,0.49540162,0.4812504,0.46334472,0.44744244,0.43478182,0.4242393,0.414525,0.4078518,0.4076426,0.4149873,0.42630193,0.43595067,0.44005394,0.4382396,0.4321086,0.42385414,0.41508558,0.40743172,0.40211868,0.4012561,0.40661898,0.41837037,0.43253696,0.44381812,0.45000577,0.4550675,0.46515045,0.48239806,0.50169206,0.5134849,0.50996524,0.49041998,0.46264288,0.4380646,0.42487666,0.42371035,0.43049577,0.44048986,0.45053318,0.45871624,0.4650607,0.47207788,0.48297676,0.49819872,0.514529,0.5265046,0.53051597,0.5256965,0.5144991,0.4993259,0.4819994,0.46316755,0.44486824,0.42982468,0.42055345,0.41735652,0.4196243,0.42638496,0.4364045,0.44633484,0.45179906,0.44982567,0.44155917,0.43139192,0.4237312,0.4208293,0.42120203,0.42191264,0.4189885,0.41127518,0.39982998,0.388792,0.3816689,0.38046828,0.38416126,0.38972178,0.3932499,0.39343846,0.3944033,0.40563306,0.43344343,0.47373772,0.510041,0.5269515,0.5199444,0.49898815,0.4764923,0.46070996,0.45280126,0.45262054,0.45884645,0.46935353,0.4796462,0.48611668,0.48825955,0.48990735,0.4958882,0.50775784,0.5217915,0.5317406,0.53408676,0.529509,0.52059096,0.5068328,0.48593423,0.4571638,0.42609337,0.40073338,0.38666174,0.38296628,0.38575813,0.39129987,0.397673,0.4028499,0.40501603,0.40304613,0.3976339,0.39017716,0.38249907,0.37660554,0.3742447,0.3759255,0.38007712,0.38483182,0.38963723,0.39638904,0.40662014,0.41942585,0.4303056,0.43477738,0.43056664,0.41872528,0.40107927,0.38073492,0.3629813,0.35529622,0.36222148,0.38084054,0.4018199,0.41586378,0.41953167,0.415169,0.40675244,0.39552888,0.37922898,0.35471305,0.32139552,0.28276578,0.24528469,0.21695857,0.20580035,0.21761598,0.25203988,0.30041838,0.3487183,0.38469413,0.40426543,0.41091788,0.41070274,0.4063522,0.39747044,0.38338912,0.3663824,0.3505982,0.33881703,0.33021176,0.32180396,0.3130313,0.3089064,0.31696978,0.34212732,0.38209522,0.43189147,0.48429918,0.53171116,0.561903,0.56581694,0.54218394,0.50190794,0.4591631,0.42518842,0.40394488,0.39492106,0.39468774,0.39908406,0.4037226,0.40602982,0.40541577,0.40423635,0.40549052,0.4114039,0.42034802,0.4284637,0.43186247,0.43052277,0.42725512,0.42537773,0.42534304,0.42513895,0.42225084,0.41605175,0.40846846,0.4026313,0.4016317,0.40686095,0.41809013,0.43318614,0.4490429,0.462085,0.46920824,0.46893182,0.46232817,0.45275176,0.44407406,0.43862137,0.43753767,0.4412199,0.44907376,0.4576348,0.4611548,0.4569775,0.44842148,0.44397998,0.44803068,0.45815483,0.46581706,0.4648805,0.4535837,0.4350585,0.41351804,0.39374283,0.37859222,0.3686212,0.36123332,0.35458174,0.3489249,0.3465667,0.3477211,0.3495719,0.34841228,0.3426602,0.33438745,0.32783833,0.32877684,0.34175226,0.36699235,0.39733127,0.42037937,0.42537656,0.4097968,0.380155,0.347255,0.3198425,0.30159968,0.29125607,0.28533086,0.2810674,0.27811518,0.2789193,0.28656375,0.30285534,0.32589868,0.35026065,0.37075374,0.38701347,0.40598282,0.43217996,0.4599338,0.47053972,0.4506,0.4041492,0.3542281,0.32273972,0.31677774,0.32779467,0.3432314,0.3558102,0.36375916,0.3683915,0.37078953,0.37252188,0.37500095,0.3795968,0.3861649,0.3929074,0.39725113,0.3972783,0.3925521,0.38399363,0.373364,0.36322895,0.3552861,0.35026348,0.34713602,0.3451793,0.34427157,0.34595522,0.35287222,0.3670863,0.3871455,0.40709853,0.41967794,0.42220342,0.4178517,0.41295013,0.4101828,0.40750894,0.39990297,0.3848655,0.36500552,0.3468143,0.33763906,0.34052297,0.35447702,0.37360358,0.39252117,0.4055831,0.4111739,0.4081631,0.3992951,0.38640952,0.37354735,0.36319497,0.35886344,0.3606926,0.36526275,0.36585736,0.35740197,0.34065628,0.3206825,0.3029847,0.28940818,0.27988866,0.27431235,0.27446404,0.28154254,0.29662833,0.3192732,0.34887466,0.3812591,0.40932968,0.42498553,0.4243411,0.4096233,0.38635126,0.36027732,0.33472487,0.31206843,0.293362,0.27993104,0.2721162,0.27133203,0.27844992,0.29525805,0.32020342,0.3487465,0.3733308,0.39013556,0.4035797,0.42107025,0.44630006,0.46926203,0.478731,0.4670628,0.44247544,0.41590545,0.39831352,0.3910246,0.39204252,0.39712358,0.40415776,0.41208234,0.42022517,0.4272754,0.43184528,0.43334997,0.43250787,0.43052623,0.42846182,0.42682257,0.42559424,0.42435881,0.4220835,0.41832826,0.41354015,0.40957502,0.40782082,0.40867397,0.41128036,0.4147872,0.41853675,0.42207494,0.42488393,0.42676723,0.4276514,0.4273483,0.42530015,0.42121688,0.41583923,0.41017088,0.4045061,0.39729944,0.38789877,0.37822965,0.37452495,0.3817025,0.40052125,0.4240248,0.4445726,0.45592508,0.45768046,0.4504958,0.43748614,0.421934,0.4087598,0.40084782,0.3985025,0.39983177,0.40329096,0.40949968,0.4191052,0.43172896,0.4437344,0.4516507,0.4528878,0.44812617,0.43892285,0.42851534,0.4196851,0.4154432,0.41528356,0.41715422,0.41685143,0.4133084,0.40660897,0.39964464,0.39411616,0.39201698,0.39306632,0.39588645,0.3973566,0.39542452,0.39016604,0.3841733,0.3803374,0.38014773,0.38235357,0.38362542,0.3794845,0.36741722,0.348909,0.3303564,0.31959188,0.3209151,0.33197415,0.34444126,0.34883904,0.33839902,0.31311202,0.28116897,0.25744048,0.25543034,0.27711728,0.31071,0.33919254,0.35314548,0.3541591,0.34952438,0.3433608,0.33458877,0.31890175,0.2941686,0.2623384,0.22910206,0.20017256,0.17933272,0.16855134,0.16971044,0.18339293,0.20675164,0.23223138,0.25225565,0.2636504,0.2696718,0.27480558,0.28026596,0.2823968,0.2768803,0.26231158,0.24124473,0.21786077,0.19690804,0.18385832,0.18549073,0.20561008,0.24135983,0.28152087,0.31435636,0.33321124,0.34012833,0.3398726,0.3367392,0.33157822,0.3237737,0.31159374,0.29373562,0.270113,0.24287607,0.21573341,0.19227336,0.17409539,0.16077341,0.151007,0.14444607,0.14138862,0.14189135,0.14438011,0.1467933,0.14752495,0.14646797,0.14383101,0.13981767,0.13427907,0.12761997,0.12061718,0.11427989,0.109646834,0.10868255,0.11506143,0.13271292,0.1624232,0.1990021,0.23337448,0.2577649,0.2699459,0.2730163,0.272428,0.27312127,0.2765763,0.2793033,0.27327636,0.25178495,0.21546413,0.17567246,0.14990379,0.15326428,0.1887571,0.24424614,0.29812813,0.33196977,0.3396691,0.32733345,0.30589703,0.28510952,0.27191022,0.2700728,0.27841964,0.29006076,0.29563454,0.2888285,0.26948854,0.24250494,0.21436913,0.19028549,0.17264725,0.16105609,0.15332317,0.14808504,0.14672935,0.15421534,0.17488782,0.20809205,0.24455456,0.27182543,0.28088954,0.2731022,0.25618407,0.2390917,0.22497118,0.21332109,0.20190232,0.19073862,0.18099149,0.17510973,0.17589273,0.18541515,0.20261323,0.2217663,0.23594747,0.241799,0.24323094,0.24692993,0.257233,0.2710003,0.2818345,0.28322086,0.27348515,0.25368106,0.2276098,0.19940509,0.17355502,0.15299863,0.13852157,0.1286944,0.12156554,0.11656106,0.11549612,0.12083558,0.1327897,0.14711997,0.15731068,0.15857135,0.15101242,0.13848613,0.12546085,0.11462253,0.10663468,0.10110537,0.097206116,0.09416735,0.091996975,0.09277773,0.10104086,0.12162211,0.15479489,0.19367218,0.22666366,0.24569635,0.250733,0.24912678,0.24860774,0.2532537,0.26095924,0.26534608,0.2582107,0.23560382,0.20196347,0.1708074,0.15861894,0.17626768,0.22203939,0.2812735,0.33371088,0.3640987,0.3686953,0.35392883,0.33032432,0.30777624,0.29357418,0.29127982,0.29927716,0.31071892,0.3173022,0.31448337,0.30434024,0.29272726,0.28398946,0.27753678,0.26965222,0.25720778,0.24132198,0.22730792,0.22328351,0.23471086,0.26059544,0.29109922,0.31364322,0.3192782,0.308082,0.28581402,0.25973478,0.23447247,0.2126522,0.19524498,0.18271764,0.17532225,0.1747951,0.18352449,0.2020867,0.22562055,0.2450267,0.25243163,0.24686645,0.2352594,0.22634833,0.22511315,0.22870594,0.23130967,0.22756249,0.21775289,0.20435743,0.19128521,0.17983092,0.17087616,0.1638683,0.15895076,0.15562274,0.15358627,0.15189749,0.1496935,0.14647321,0.14232384,0.13786338,0.13349335,0.12966102,0.12636115,0.12363097,0.120821536,0.117318414,0.112401724,0.10625961,0.099463694,0.0931538,0.088932894,0.090015404,0.100987546,0.12531842,0.16136175,0.20111056,0.23388344,0.25256363,0.25710478,0.25359297,0.24972653,0.25060597,0.25506386,0.25624007,0.24503005,0.21779549,0.18071996,0.14980324,0.14253181,0.16813886,0.22050817,0.28079078,0.3277637,0.34903145,0.34517264,0.32458484,0.2960686,0.26478478,0.23366773,0.20547621,0.18315358,0.16870439,0.16311103,0.16641307,0.1776911,0.19371182,0.20976768,0.22076108,0.22401255,0.21921162,0.20877254,0.19575453,0.18327121,0.17282683,0.16484953,0.15888096,0.1549883,0.15400338,0.15769988,0.16684274,0.17975159,0.19156438,0.19743697,0.19542515,0.18787922,0.17864548,0.17044394,0.16378361,0.15823753,0.1533413,0.14874984,0.14462072,0.14334972,0.15116727,0.17511831,0.21728174,0.26944748,0.317165,0.34689912,0.35314417,0.33800676,0.3098812,0.2813063,0.26515105,0.26832175,0.2868327,0.309605,0.326286,0.333464,0.33318534,0.32763788,0.31595436,0.29441592,0.2609,0.21759768,0.17204459,0.13335258,0.10866463,0.10135142,0.11217991,0.13933788,0.17717649,0.21569027,0.24480908,0.25955272,0.2618002,0.25620478,0.24526775,0.22885287,0.20666917,0.18143421,0.15736414,0.13818319,0.12532042,0.120152734,0.12637772,0.14912474,0.18990345,0.24131869,0.28967407,0.32356635,0.3420471,0.35275123,0.36333075,0.37422988,0.37977007,0.374102,0.35636368,0.33074188,0.30389246,0.2810324,0.26454845,0.25361958,0.24666315,0.24245612,0.24119423,0.242953,0.24675317,0.25023422,0.25094584,0.2480818,0.24237071,0.23523529,0.2272955,0.21875393,0.21003872,0.20210797,0.19582832,0.19119805,0.18827339,0.18874036,0.19732742,0.21909209,0.2547339,0.2966497,0.3321986,0.3509213,0.35122856,0.3394729,0.32494333,0.31328824,0.30458975,0.2936468,0.2751666,0.24827491,0.21995361,0.20228505,0.20565419,0.23245108,0.2738582,0.3152237,0.34273314,0.35139918,0.3441207,0.328347,0.31076548,0.29674348,0.2904012,0.293319,0.30224168,0.30905584,0.30542615,0.28818005,0.2610077,0.23147611,0.20576347,0.18656807,0.173097,0.16363399,0.15695405,0.15408014,0.1587017,0.17471509,0.20218144,0.23374079,0.258407,0.2680026,0.26295424,0.24998832,0.23588486,0.2228929,0.20890029,0.19229782,0.17403425,0.15833901,0.1496749,0.15179919,0.16564065,0.18853837,0.21348876,0.23191231,0.23758288,0.23062693,0.21772213,0.20904489,0.21232444,0.22830696,0.25058734,0.27041662,0.28206444,0.28507245,0.28190574,0.27559212,0.26756653,0.25852942,0.24844263,0.23752409,0.2263565,0.21565185,0.20647351,0.19897147,0.19317889,0.18812858,0.18343101,0.17894764,0.17530966,0.17296194,0.17175762,0.17098926,0.16971119,0.1672616,0.16337019,0.15880483,0.15640767,0.16154082,0.17971027,0.2117277,0.25058553,0.28448477,0.30442286,0.30981112,0.3069047,0.3031064,0.30109963,0.29838637,0.28906545,0.26942602,0.24096487,0.21179591,0.19316,0.19442433,0.21850424,0.25898996,0.30286992,0.33606616,0.35121503,0.3492923,0.33673215,0.31998006,0.30357227,0.29084897,0.283825,0.28183818,0.28004393,0.2723221,0.25504532,0.23066705,0.20552678,0.18586154,0.17303969,0.16418183,0.15515812,0.14509916,0.13749939,0.13939308,0.15713648,0.19150443,0.2342314,0.27089047,0.28873158,0.28351712,0.2603594,0.22855736,0.19664429,0.16946976,0.14909782,0.1357131,0.12959331,0.131825,0.14524408,0.1717826,0.20906162,0.24724104,0.27342284,0.27975798,0.27055553,0.2601811,0.2624989,0.2818795,0.31007475,0.33570278,0.35079193,0.3564013,0.35592094,0.35313848,0.34820405,0.34186003,0.33441722,0.32744288,0.32090285,0.31490326,0.30932495,0.3059311,0.30583242,0.30894038,0.31220248,0.3129507,0.30993152,0.30474794,0.29916063,0.2941698,0.28938392,0.2843058,0.27901694,0.27406862,0.27036873,0.26890746,0.271047,0.27767456,0.2884872,0.30142823,0.3133206,0.32118347,0.3231655,0.31973124,0.31348944,0.30874076,0.30861035,0.3128419,0.31670967,0.3145008,0.3042504,0.29101798,0.28391027,0.28971088,0.30818805,0.33262753,0.35468504,0.36768797,0.36835673,0.35610223,0.33270928,0.3022106,0.26978055,0.24120939,0.2201338,0.20764549,0.20213194,0.20206283,0.20735829,0.21773763,0.23117144,0.24207169,0.24608736,0.24105954,0.23006023,0.21680653,0.205227,0.19648702,0.19051343,0.18639731,0.18361276,0.18284766,0.1853013,0.19265653,0.20485489,0.21973532,0.23250926,0.2388376,0.23696046,0.2290502,0.21879697,0.20935784,0.20179003,0.19619425,0.19216366,0.18991059,0.19077767,0.19910045,0.22165567,0.26295277,0.31924096,0.37694415,0.42110065,0.44414994,0.449774,0.44620326,0.4400605,0.4335061,0.42668095,0.41925922,0.4108992,0.4012051,0.39081347,0.38193202,0.37764946,0.3792468,0.38509575,0.39055982,0.3915157,0.38642225,0.3779532,0.37024936,0.3658614,0.36401066,0.3616753,0.35698667,0.34976718,0.3421354,0.33642182,0.3352672,0.33938253,0.34707543,0.35426638,0.3571869,0.35428205,0.3460778,0.3342223,0.32023302,0.30586797,0.292079,0.2794422,0.26768932,0.2577228,0.25243068,0.25787222,0.28007123,0.32020095,0.37016264,0.41593197,0.44579622,0.45745432,0.456719,0.45108438,0.44470403,0.43844834,0.432238,0.42639065,0.4209863,0.41572654,0.41016802,0.40486744,0.40134835,0.40079176,0.402743,0.40400684,0.40117308,0.39202228,0.37802434,0.36250308,0.34944057,0.34077704,0.33591965,0.33231303,0.32718632,0.31945693,0.3106364,0.3042111,0.30417612,0.31150877,0.3233847,0.33282748,0.3338091,0.3236549,0.3053075,0.28412393,0.2652527,0.2512822,0.24205174,0.2356865,0.23051138,0.22889465,0.24013834,0.27769497,0.3483194,0.43997708,0.5222988,0.5633425,0.5514714,0.50183153,0.44396743,0.40121377,0.38131073,0.37878266,0.38439122,0.39032766,0.39295062,0.39235976,0.3915685,0.39370215,0.39941975,0.4066211,0.4119399,0.4136107,0.4114541,0.4072372,0.40302846,0.4014655,0.40337777,0.4071732,0.40909696,0.4071393,0.4032651,0.4024839,0.4086633,0.4217651,0.43822262,0.45330468,0.4631273,0.4648327,0.4575907,0.44322374,0.42730036,0.41571823,0.4115194,0.41233706,0.4135944,0.41208723,0.40843758,0.4055753,0.40516272,0.40513512,0.399819,0.38476172,0.36067358,0.33435902,0.31346157,0.30191788,0.29852116,0.30004776,0.3031006,0.30483925,0.3031363,0.29828456,0.29308423,0.29047576,0.29128492,0.29409328,0.2970072,0.29803059,0.29553604,0.2896674,0.28329664,0.28041992,0.2814686,0.28302744,0.28108582,0.27726963,0.27690282,0.28362924,0.29376245,0.29989532,0.2975794,0.28919706,0.28136098,0.2797093,0.28651044,0.30012384,0.31605527,0.32789215,0.3302897,0.32285678,0.31154713,0.3062652,0.31462923,0.33904275,0.37645063,0.42059585,0.46336412,0.49470195,0.5076952,0.5006079,0.48173225,0.46175373,0.4498508,0.44596395,0.4456004,0.44342217,0.43870565,0.43287182,0.42720363,0.4208751,0.4136893,0.40752646,0.40648255,0.41332194,0.427338,0.4443868,0.4595933,0.469859,0.47394216,0.47184786,0.46389106,0.45176277,0.43826842,0.42687774,0.41917086,0.4140798,0.40884814,0.40238383,0.3974838,0.39829496,0.40610254,0.41658416,0.4240705,0.42610514,0.42505327,0.42439517,0.42571887,0.42893353,0.43379402,0.4400258,0.44590864,0.4476534,0.44136727,0.42523047,0.40175653,0.3762089,0.35468936,0.34077016,0.33550918,0.33801612,0.34683514,0.3602533,0.3759545,0.39182976,0.4056917,0.4159913,0.42056334,0.41769263,0.4063376,0.38802025,0.36594903,0.34439793,0.32646033,0.31398794,0.30776635,0.30876818,0.3176526,0.33320084,0.35102248,0.36470175,0.36920205,0.36373615,0.35198903,0.3392183,0.32863986,0.3194811,0.308288,0.2924898,0.27352047,0.2569336,0.24898954,0.25242212,0.26525664,0.28344128,0.30469322,0.33014545,0.36232805,0.4024885,0.445014,0.47800934,0.48610535,0.46454215,0.42278436,0.38198653,0.3576682,0.35281786,0.35886118,0.36638483,0.37068892,0.3718575,0.3719274,0.3729423,0.3767818,0.38468242,0.39631394,0.40923584,0.41983542,0.4253362,0.4255232,0.42183912,0.4165111,0.41062453,0.4053593,0.40073946,0.39695477,0.39300802,0.38915864,0.3855071,0.38272676,0.37989962,0.37641382,0.3717123,0.36655304,0.36160254,0.35807958,0.35697094,0.35904673,0.3634667,0.3685772,0.37265635,0.3752959,0.37681815,0.37796065,0.37897936,0.37870553,0.37450767,0.36375454,0.3474501,0.33036593,0.3186849,0.31513676,0.31808782,0.32341346,0.3282546,0.33231556,0.33670035,0.34107077,0.34324804,0.3406144,0.33271417,0.32108465,0.30807963,0.29582822,0.28612876,0.28067696,0.27987543,0.28301394,0.28808233,0.29344967,0.29736713,0.29854655,0.29518518,0.2864649,0.2731079,0.25860015,0.24754442,0.24351323,0.24754132,0.25819874,0.2732161,0.28922656,0.30320367,0.31214303,0.31531033,0.31314614,0.30773675,0.30088842,0.29347077,0.28613186,0.281275,0.28591204,0.30603424,0.3414333,0.38037106,0.40870908,0.4179645,0.41219333,0.40135035,0.39419326,0.39245936,0.39339352,0.3937662,0.39323673,0.3929131,0.3940139,0.3959875,0.39797628,0.3984568,0.39650616,0.39151946,0.3843255,0.37676096,0.37057725,0.3666444,0.36441362,0.3633705,0.36270538,0.36247373,0.3622913,0.36253425,0.36316168,0.36501202,0.36836335,0.37309006,0.37739906,0.3793613,0.37831542,0.37583485,0.3742957,0.37477252,0.37650707,0.3774965,0.37595323,0.37052545,0.36192438,0.35319063,0.34981123,0.354569,0.36527026,0.37417188,0.37577668,0.3697709,0.36184716,0.3568335,0.3570896,0.36158255,0.36920688,0.3782396,0.3869369,0.39301443,0.3950982,0.3935343,0.389986,0.3871516,0.38621998,0.3870642,0.38734993,0.3857905,0.38241303,0.37894925,0.37634537,0.37487873,0.37452176,0.3756219,0.37779847,0.379725,0.37994954,0.37825206,0.3754251,0.3724053,0.3693582,0.36631522,0.36317924,0.36068127,0.35936782,0.3601164,0.36244974,0.36554733,0.36779276,0.36829588,0.3666221,0.36472893,0.36858645,0.38800582,0.42838085,0.48240674,0.5266475,0.53769,0.50644267,0.44880065,0.3894821,0.34888634,0.3303136,0.32799736,0.33337614,0.34161475,0.350219,0.35800192,0.36496702,0.37215185,0.38020512,0.38805112,0.39299878,0.39364,0.390409,0.3851668,0.3791267,0.37287262,0.36663747,0.3600872,0.3525817,0.34425792,0.33743486,0.33525822,0.33945096,0.3483342,0.35865787,0.36678323,0.37089196,0.3701677,0.36597785,0.36100212,0.3585991,0.3603741,0.36568785,0.37264797,0.38013005,0.3875831,0.39479232,0.40029395,0.4016271,0.3949941,0.377893,0.3521072,0.32457057,0.30395886,0.29495072,0.29644328,0.30346724,0.311361,0.3170806,0.31873932,0.31505725,0.3066958,0.29765347,0.2930753,0.29537,0.3012456,0.30558792,0.30610707,0.30591536,0.30877015,0.31472418,0.31983107,0.3207293,0.3187524,0.31812927,0.32236204,0.33040056,0.3387014,0.34380373,0.34498215,0.34324875,0.33991683,0.3358501,0.33169115,0.3277584,0.32317376,0.31572747,0.30367526,0.28811827,0.2735721,0.26517764,0.2653382,0.27409554,0.29241738,0.32512006,0.37425804,0.43380395,0.4856306,0.5137565,0.51197094,0.49150863,0.46755978,0.452737,0.448598,0.45121333,0.45445254,0.4545213,0.45002946,0.44102576,0.42923987,0.41779256,0.41095304,0.41112348,0.4170266,0.42415643,0.4280481,0.4272038,0.4234526,0.41945204,0.41638342,0.41307953,0.40844965,0.4030592,0.39906728,0.39798486,0.3993194,0.40194032,0.4050958,0.40916958,0.41466382,0.4218826,0.43019474,0.43732336,0.4403632,0.43817544,0.43293032,0.42854044,0.42728496,0.42926276,0.43298253,0.43654516,0.43578458,0.42618027,0.40546164,0.37825665,0.35190764,0.33233723,0.31929505,0.31072327,0.30523238,0.303489,0.30506828,0.30776367,0.30901253,0.308144,0.3072673,0.30965742,0.3175865,0.33039722,0.34482053,0.35660258,0.36228,0.3607652,0.35362706,0.34517065,0.33965752,0.33959743,0.34380183,0.34982833,0.35532716,0.36023328,0.3649783,0.36975858,0.37314534,0.3737662,0.37098524,0.36534455,0.35714832,0.3464596,0.33390656,0.32135817,0.31116584,0.30507243,0.3048171,0.31232762,0.32970595,0.35751128,0.39423576,0.43400684,0.46582446,0.47681034,0.46137652,0.42764,0.3924184,0.36901763,0.358762,0.3551394,0.35150218,0.34647286,0.34123123,0.33788216,0.33713028,0.33999148,0.34596515,0.35431722,0.3627406,0.36990437,0.37428573,0.3758231,0.3742737,0.37045792,0.36465892,0.3581452,0.35190567,0.34752735,0.34492233,0.34405708,0.34446537,0.3470647,0.35143685,0.35647276,0.3596638,0.3598769,0.35642052,0.34990886,0.3411334,0.33250692,0.32615092,0.32331538,0.32270885,0.32273594,0.3228157,0.32418367,0.32842156,0.3343141,0.3381065,0.33422044,0.32164788,0.30388156,0.28834507,0.27932796,0.27724597,0.27908078,0.282694,0.2872977,0.29296032,0.29845747,0.30176887,0.3011408,0.29643095,0.28886902,0.28004143,0.27244887,0.26832518,0.27003062,0.27706084,0.28781307,0.29845867,0.30657244,0.3103281,0.3115562,0.3128283,0.31712058,0.3239348,0.33160725,0.3376207,0.34147492,0.34302613,0.3426499,0.33979848,0.33364582,0.32353556,0.30957618,0.2933594,0.27670673,0.26193509,0.24995573,0.24112563,0.2354977,0.23595251,0.2484741,0.27711305,0.31806624,0.35705197,0.37962136,0.3795571,0.36477795,0.34816858,0.3404342,0.3433617,0.35317734,0.36394835,0.37194037,0.3759427,0.37665424,0.37492397,0.37168303,0.3677527,0.36410514,0.3604497,0.35551825,0.34791824,0.3379723,0.32731095,0.31766173,0.31004497,0.3052247,0.30399308,0.3066709,0.3123201,0.31939724,0.32638678,0.3327142,0.3382469,0.34327677,0.34806064,0.35264218,0.35636878,0.35823563,0.35704014,0.35220408,0.3433666,0.33163318,0.31928027,0.31079903,0.31027934,0.32021734,0.33703712,0.3528507,0.3575702,0.34813198,0.32917002,0.31140003,0.30180523,0.30153027,0.30644384,0.3126431,0.31805098,0.32239392,0.3255793,0.32752764,0.32801935,0.32767573,0.3269094,0.32620132,0.32492927,0.3227822,0.31989524,0.31723878,0.31568167,0.31535742,0.3155043,0.31510243,0.31289902,0.3087268,0.3022449,0.29405951,0.28387094,0.27263883,0.26124576,0.25120082,0.24224979,0.23320383,0.22245733,0.20973127,0.19551529,0.18046415,0.1645308,0.1472441,0.12782808,0.10583672,0.08188001,0.058084022,0.037375446,0.02189614,0.012067656,0.0067950934,0.004495856,0.0037733056,0.0036877308,0.0036929257,0.0035818731,0.0033571331,0.003112729,0.002929394,0.0028361976,0.0028135544,0.0028149867,0.0027991233,0.0027418493,0.0026472285,0.0025353888,0.0024344723,0.0023595442,0.0023126183,0.002284361,0.0022673025,0.0022533035,0.0022347886,0.0022044964,0.002165702,0.002127853,0.0020977904,0.0020652674,0.0020108717,0.0019185914,0.0017914707,0.0016498574,0.001522272,0.0014307424,0.0013775039,0.0013450048,0.0013075102,0.0012526304,0.001187813,0.0011311328,0.0010943111,0.001076525,0.0010710385,0.0010716756,0.0010743652,0.0010761191,0.0010763672,0.0010798053,0.0010909,0.0011112523,0.0011344827,0.0011524485,0.0011557142,0.0011390578,0.0011020921,0.0010507955,0.0009954128,0.000944603,0.0009042358,0.000874766,0.00085519004,0.0008418313,0.00083143724,0.00082111225,0.0008097523,0.00079711754,0.0007819987,0.00076415273,0.0007433198,0.00072040246,0.0006932666,0.00066063466,0.0006242331,0.0005915582,0.0005696924,0.0005603132,0.0005587702,0.0005586767,0.00055578793,0.0005492806,0.00054052606,0.0005320642,0.0005247128,0.00051744323,0.00050728885,0.00049328903,0.00047579166,0.00045612422,0.0004334679,0.00040725197,0.0003787436,0.00035230388,0.00033164138,0.00031715844,0.00030570806,0.00029429034,0.0002817671,0.0002687557,0.0002551996,0.00024092685,0.00022648873,0.00021443419,0.00020727311,0.00020566146,0.00020706846,0.00020764362,0.00020458711,0.00019763975,0.00018811123,0.00017687613,0.00016422082,0.00015100396,0.00013957424,0.0001323746,0.00012974396,0.00012993511,0.00013057589,0.00013063995,0.00012994005,0.00012839801,0.00012561156,0.000121619545,0.00011703968,0.00011246689,0.00010776912,0.0001024316,9.6212425E-05,8.951133E-05,8.284603E-05,7.645338E-05,7.027051E-05,6.417212E-05,5.810769E-05,5.1928684E-05,4.5522018E-05,3.894982E-05,3.2623142E-05,2.7024507E-05,2.2427985E-05,1.8763925E-05,1.5891195E-05,1.37356365E-05,1.2413294E-05,1.1889641E-05,1.1991023E-05,1.2328111E-05,1.2677844E-05,1.29693E-05,1.317933E-05,1.3145504E-05,1.264257E-05,1.17422305E-05,1.0732976E-05,9.997223E-06,9.6741105E-06,9.842634E-06,1.0441257E-05,1.1155908E-05,1.1369705E-05,1.06485995E-05,9.39051E-06,8.599256E-06]