[0.0121696405,0.012580305,0.013245914,0.013808813,0.01499232,0.019507421,0.031168854,0.05212461,0.08020577,0.109214626,0.13257177,0.14664665,0.15170158,0.1498103,0.14360328,0.1356049,0.12855612,0.12426418,0.122959286,0.123127095,0.12295393,0.12128997,0.11799159,0.11347312,0.108156644,0.10248131,0.09670364,0.0916672,0.088715635,0.089896284,0.09620297,0.1067336,0.11820247,0.12687826,0.13035573,0.12886992,0.12496298,0.12258374,0.12522,0.13437258,0.14808387,0.16228849,0.17247736,0.1762519,0.1733427,0.16511948,0.15390359,0.14225836,0.13299139,0.12738806,0.1254797,0.12547171,0.1256666,0.12452378,0.12176955,0.11788818,0.11422462,0.1117403,0.1108489,0.11157013,0.11478668,0.12174654,0.13257565,0.14506823,0.15570597,0.16251433,0.16536675,0.16569708,0.16411048,0.16178016,0.15974161,0.15915363,0.1591892,0.15781443,0.15322562,0.14543633,0.13631886,0.12819429,0.122808926,0.12028491,0.119372934,0.11798394,0.11454072,0.10865172,0.101142585,0.0933531,0.08644589,0.08111767,0.0774211,0.07510159,0.07392632,0.074400544,0.07737867,0.083318494,0.09101441,0.0978353,0.10075513,0.0985714,0.0931138,0.089348786,0.092155196,0.1030887,0.1181677,0.1310743,0.13692068,0.13544525,0.12942834,0.12251026,0.11701587,0.113752685,0.11223608,0.111173294,0.10920674,0.1054995,0.10021708,0.094162524,0.0883783,0.08369114,0.08058372,0.07913154,0.07924702,0.08146398,0.08769878,0.100225925,0.11915338,0.13996957,0.15534788,0.15955551,0.15293758,0.14107181,0.13089745,0.12571035,0.12461797,0.124043256,0.12178645,0.11764156,0.11345563,0.11031177,0.10855016,0.10737914,0.106630854,0.10627991,0.10664963,0.1072307,0.10721203,0.10564375,0.10248331,0.09844961,0.094712496,0.09201946,0.09037004,0.08942604,0.08926668,0.09110283,0.09618334,0.10454973,0.11374647,0.12043506,0.122262575,0.11974648,0.11551419,0.112748235,0.11309182,0.11590139,0.11886424,0.11997253,0.11897302,0.11720759,0.1160597,0.115715645,0.11560177,0.11528677,0.11526183,0.11580484,0.11654398,0.1159346,0.113004334,0.107740104,0.10170036,0.09651873,0.093361475,0.092267685,0.092931576,0.09549866,0.10099577,0.110139064,0.12203964,0.13382308,0.14316352,0.14975291,0.1554542,0.1611029,0.16565041,0.16684125,0.16416852,0.15925527,0.15475576,0.15176271,0.14909495,0.14404291,0.13516937,0.1236885,0.11316639,0.10634374,0.10343542,0.102107376,0.09987692,0.09547726,0.08912847,0.081959724,0.0754223,0.0710144,0.06948749,0.07079164,0.0740653,0.07871333,0.08447879,0.09146457,0.09901174,0.10552069,0.10866516,0.10701593,0.10162711,0.0962603,0.09531524,0.100261,0.10845524,0.115017615,0.11703726,0.11531054,0.11336547,0.114355214,0.11941484,0.12734939,0.13599826,0.14283876,0.14594938,0.14398019,0.13736421,0.12799881,0.11892193,0.1122363,0.10850477,0.1071656,0.10867745,0.116060674,0.1336865,0.16320086,0.19945751,0.23145838,0.24871154,0.24828106,0.2367719,0.22604287,0.225986,0.23925154,0.2597321,0.27686784,0.28119063,0.27007276,0.24779063,0.22390139,0.2082312,0.20695406,0.21854424,0.2341047,0.24268748,0.2391059,0.22838585,0.22119434,0.22558154,0.24070273,0.25950935,0.27413654,0.28068486,0.2796559,0.2751274,0.272866,0.275846,0.28167427,0.28255606,0.27325037,0.2545096,0.2336318,0.21621019,0.20416898,0.19523562,0.18734902,0.17865129,0.16803932,0.15526514,0.14162564,0.12924194,0.119476,0.11221731,0.1067639,0.10232788,0.098783545,0.095661424,0.09282965,0.08993769,0.08727359,0.0847806,0.082430996,0.07976819,0.07693946,0.07489741,0.07611932,0.08332647,0.0976584,0.11688915,0.13684835,0.15409441,0.16823405,0.18059582,0.19345771,0.20750402,0.22282167,0.23730557,0.2503887,0.26203248,0.27387282,0.28445283,0.2911853,0.2909604,0.28393856,0.27055955,0.2507538,0.22336149,0.19063477,0.15982486,0.14145409,0.14254968,0.16190523,0.18979208,0.21471876,0.22986622,0.23654205,0.2398294,0.24322207,0.24474807,0.24003601,0.2267098,0.20781969,0.18975382,0.1793469,0.1810741,0.19574217,0.21965878,0.24492311,0.26326486,0.26905283,0.26110706,0.24092953,0.21300064,0.18520541,0.16846277,0.17070098,0.19101433,0.21775047,0.23682569,0.24079432,0.23332481,0.22339362,0.21814747,0.21876656,0.2215627,0.22085853,0.21331073,0.20113991,0.19131942,0.18933444,0.19366454,0.1969025,0.19241528,0.18033743,0.16714877,0.16135734,0.16680229,0.18067615,0.1947444,0.20262058,0.20296955,0.20011331,0.19853775,0.20055634,0.20527889,0.21072398,0.21438174,0.2133451,0.20448017,0.1868614,0.16467033,0.147038,0.14228669,0.15189582,0.16922422,0.18573266,0.19650728,0.20239931,0.20620002,0.2099914,0.21336246,0.2147519,0.21231912,0.20517398,0.1937152,0.17979805,0.16599001,0.15427382,0.14507039,0.13747025,0.13059343,0.12421166,0.11872705,0.11417497,0.1102873,0.10644192,0.10239927,0.098412536,0.09518399,0.093215264,0.091969855,0.09024375,0.08648158,0.08080781,0.075630784,0.07692789,0.090175174,0.116756916,0.14985974,0.17970054,0.19861114,0.20612065,0.20479739,0.19766302,0.18602867,0.17398137,0.1686995,0.17922819,0.20780699,0.24743243,0.28283843,0.30171862,0.30051705,0.28632763,0.2697927,0.2593782,0.2576193,0.2616311,0.26600203,0.26525918,0.2561017,0.23734611,0.21178651,0.18566342,0.16736926,0.16200417,0.16866988,0.181217,0.19233342,0.19791757,0.19758625,0.19443361,0.19168289,0.19149388,0.19331183,0.19523676,0.19555373,0.19469891,0.19488157,0.19818455,0.2043594,0.21106385,0.21551186,0.21640249,0.21382369,0.20872259,0.20196629,0.19430225,0.18602459,0.1771466,0.16717927,0.15547355,0.14129238,0.12486004,0.10763136,0.09221935,0.08078862,0.07396441,0.07077996,0.07012209,0.072329134,0.07913563,0.09153175,0.10754638,0.12196032,0.13015717,0.13155982,0.13220663,0.14076327,0.1633404,0.19697891,0.2308691,0.2530757,0.25941375,0.2554451,0.25001988,0.24784584,0.24650262,0.24148762,0.23155147,0.22206825,0.22032805,0.23007478,0.24700868,0.26346058,0.27362978,0.27747002,0.27721605,0.27395952,0.26677206,0.2551678,0.24249081,0.2339157,0.23388286,0.24067307,0.24944226,0.2544963,0.25478086,0.25150356,0.24685304,0.24104963,0.23431353,0.22840448,0.2272917,0.23374754,0.24623843,0.25915352,0.26742414,0.2698336,0.2688621,0.2674354,0.26718447,0.26796135,0.26865172,0.26777908,0.26383716,0.25569773,0.24203193,0.22321813,0.20098804,0.18014248,0.16506267,0.1606654,0.16847228,0.18742245,0.21056135,0.22997074,0.23964952,0.24042197,0.23698018,0.23518161,0.23782171,0.24400532,0.24911492,0.24845286,0.2407672,0.23027515,0.22286838,0.2213433,0.22307897,0.22356103,0.22175747,0.22177269,0.2288481,0.24313886,0.2584685,0.26723543,0.26572964,0.25475588,0.23615067,0.21144359,0.18417692,0.16171916,0.15386839,0.16612814,0.19623284,0.2332402,0.26497316,0.2822659,0.28299096,0.2696273,0.24948926,0.23095286,0.22000962,0.21525627,0.21061122,0.2012871,0.18904889,0.18005753,0.17935097,0.18715428,0.19917756,0.20990968,0.21534453,0.21443409,0.20824754,0.19873159,0.18749702,0.1756864,0.16377328,0.15254995,0.14342374,0.13909991,0.14171118,0.15212852,0.16810977,0.18582375,0.20022416,0.20875253,0.21153593,0.21222377,0.21428448,0.2199238,0.22814243,0.23638009,0.24163754,0.24319309,0.24286993,0.24386345,0.24765712,0.25267377,0.2552793,0.2526229,0.24489611,0.23481996,0.22557491,0.21834844,0.21260364,0.20737515,0.20315452,0.20140386,0.2034073,0.20836236,0.2141599,0.21871935,0.22176053,0.22350931,0.2236163,0.22118355,0.21648632,0.21154077,0.20884766,0.21076305,0.21837682,0.23074554,0.2431515,0.24993175,0.2482726,0.24142997,0.23543365,0.2349845,0.24038939,0.24881117,0.25621644,0.25946233,0.25763646,0.25217405,0.2461204,0.2416267,0.23914321,0.23705272,0.23422672,0.23075552,0.22864793,0.2298473,0.23526442,0.24368043,0.25182822,0.2552562,0.25005278,0.23512799,0.21292615,0.18830614,0.16625541,0.1498184,0.13995995,0.13579446,0.1359959,0.13861643,0.14167297,0.14276426,0.14039098,0.13432892,0.12611145,0.11801198,0.1117846,0.108117275,0.10625189,0.10535932,0.10442413,0.10317784,0.101087995,0.097953536,0.09372995,0.08920453,0.08566139,0.084337436,0.08565966,0.08892611,0.09262826,0.095516734,0.09754122,0.10011954,0.10503205,0.11295854,0.12261357,0.13161588,0.13838156,0.14377363,0.1502232,0.15997936,0.173199,0.18896969,0.2056296,0.22147322,0.23387778,0.24065731,0.24083543,0.23489709,0.22307487,0.20456374,0.17952852,0.15195581,0.13091822,0.12557249,0.13921927,0.16528532,0.19210295,0.20926325,0.2124771,0.20163852,0.1788189,0.14817263,0.120055564,0.11016115,0.13434678,0.19318795,0.26983833,0.3341432,0.36810145,0.3710865,0.35999647,0.34748337,0.33850515,0.32934856,0.31817794,0.30611724,0.2967776,0.29202473,0.29065844,0.28888586,0.28306866,0.27205697,0.25857732,0.24796452,0.24513005,0.25073937,0.26038727,0.2672638,0.2668585,0.25942078,0.24945988,0.24213018,0.24024308,0.24278502,0.24769418,0.254016,0.2627456,0.27342966,0.28312048,0.28726944,0.28352788,0.27275708,0.2581816,0.24297565,0.22923286,0.2174918,0.20774172,0.20019497,0.19710283,0.20107782,0.21295764,0.22852494,0.24138236,0.24681588,0.2454498,0.24070515,0.23584652,0.23192531,0.22914052,0.2273171,0.22600974,0.2237653,0.21864809,0.20926936,0.19671704,0.18623418,0.18583304,0.20125844,0.23001222,0.26194918,0.2859905,0.2976049,0.29903686,0.29412237,0.28400746,0.26854694,0.25040746,0.23621227,0.2320624,0.23849167,0.24963601,0.25813982,0.25979427,0.25420758,0.24266243,0.22600342,0.20588493,0.18565951,0.17169206,0.17015754,0.18399203,0.20912646,0.23668595,0.2569916,0.2653691,0.2634623,0.25788724,0.25533286,0.25899827,0.26666293,0.27305338,0.27297083,0.26498473,0.25192168,0.2395645,0.23316461,0.23517413,0.24458082,0.25802693,0.2708236,0.27791658,0.2749597,0.26038343,0.23665541,0.21055467,0.19043839,0.18353398,0.19231993,0.21429265,0.24219608,0.2676079,0.28278723,0.28304783,0.2666336,0.23598002,0.19825499,0.1653129,0.15020134,0.16055465,0.19347413,0.23533969,0.27015558,0.28805533,0.2900636,0.28367826,0.27690232,0.27337733,0.27294764,0.2737088,0.27423695,0.27353027,0.27037615,0.26374403,0.2536921,0.24192905,0.23025514,0.2195064,0.20958751,0.20050438,0.19337924,0.18970476,0.19093768,0.19678468,0.20561351,0.214094,0.21914329,0.21863978,0.21394587,0.20944832,0.21032341,0.21775997,0.22757703,0.2339936,0.23483856,0.23354936,0.23520422,0.24186571,0.2508369,0.2574713,0.2596048,0.25859717,0.25733447,0.25653446,0.25513044,0.2520837,0.24849196,0.24619131,0.24684446,0.2506503,0.25700393,0.26372343,0.26823428,0.26793227,0.26212335,0.25211224,0.24128926,0.23320192,0.22985174,0.23120259,0.23610431,0.2436666,0.251945,0.25813782,0.2585712,0.2533095,0.24576157,0.24276577,0.24754803,0.25958094,0.27275023,0.28209752,0.2839314,0.27920187,0.26943573,0.25795943,0.24685977,0.23912378,0.23583066,0.23745424,0.24155694,0.24596155,0.24900396,0.25152317,0.25423527,0.25690052,0.25794187,0.2563527,0.2520799,0.24604975,0.2395007,0.23419315,0.23111092,0.22999118,0.22988074,0.23079552,0.23369515,0.23852535,0.2437896,0.24812116,0.25183442,0.25599122,0.25983074,0.26071224,0.25592643,0.24577047,0.23371376,0.2239331,0.21816726,0.21461962,0.21148078,0.20888358,0.20966053,0.21456765,0.22204053,0.22820081,0.23087607,0.22936876,0.2248707,0.22093445,0.22378683,0.24108756,0.27480093,0.3192842,0.36183634,0.39299047,0.40886948,0.4114678,0.4013896,0.3792809,0.34761167,0.3148911,0.29042122,0.27969125,0.27959964,0.28262618,0.2805705,0.26871458,0.24544556,0.21256585,0.17514108,0.14060597,0.1165184,0.10782364,0.115819395,0.13779074,0.16754417,0.19632691,0.21477346,0.21732551,0.20564882,0.19021939,0.18327391,0.19182527,0.21203898,0.23463528,0.25016394,0.25473467,0.24865454,0.23740153,0.22816294,0.22803636,0.23716235,0.2500757,0.25833723,0.2584314,0.25218287,0.24508268,0.24119915,0.24201906,0.24631166,0.25175974,0.25482717,0.2526709,0.24580021,0.2394262,0.2405442,0.25092116,0.26643047,0.2789288,0.28362894,0.27944472,0.27087653,0.26385412,0.26363245,0.26916727,0.2756851,0.2782373,0.27751637,0.27632186,0.27744615,0.27998573,0.2831981,0.28572965,0.28859508,0.29204285,0.29676187,0.29928705,0.2942703,0.27591568,0.24498916,0.20918722,0.17981903,0.16444802,0.16322063,0.17187476,0.18551928,0.20180106,0.217861,0.23081885,0.2379318,0.24024493,0.2410781,0.2441809,0.25051257,0.25893247,0.26735368,0.27402103,0.27633378,0.27083328,0.25499246,0.23019059,0.20255125,0.17999174,0.16941355,0.17304637,0.18898642,0.21050338,0.23136093,0.24650167,0.25505623,0.25554562,0.24801718,0.23307109,0.21604408,0.2032532,0.20040055,0.20843613,0.22394915,0.23984794,0.24805945,0.24372804,0.22862995,0.21273655,0.20825593,0.22226924,0.2505972,0.2827803,0.30856153,0.32435158,0.33005974,0.32812196,0.3202099,0.3093791,0.2972044,0.2855182,0.27486444,0.26652858,0.25966847,0.25099316,0.2354347,0.2103061,0.17870153,0.14767322,0.12490972,0.11445117,0.11788324,0.13436137,0.16124554,0.19156648,0.21548833,0.22360031,0.21413071,0.1945046,0.17882787,0.17687307,0.1894537,0.20735222,0.22146589,0.22670789,0.22504361,0.22015949,0.21601509,0.21371257,0.21190637,0.20741753,0.19845949,0.1866957,0.17625962,0.17142218,0.17408766,0.1839052,0.19817589,0.21338345,0.22615425,0.23450857,0.23855032,0.24051821,0.24419622,0.25172737,0.26176605,0.2693056,0.2700449,0.26345992,0.25425586,0.24918993,0.25217983,0.26105687,0.26831773,0.2677591,0.2583396,0.2449999,0.23346375,0.22750942,0.22814256,0.23445146,0.24453473,0.25515696,0.2639916,0.26896548,0.26885822,0.2604569,0.24153055,0.21330301,0.1839665,0.16340347,0.15735503,0.16372819,0.1776266,0.19526471,0.21424712,0.22930026,0.23339804,0.22275174,0.20263071,0.1857013,0.18481497,0.20503454,0.24036415,0.27844477,0.3067614,0.31875062,0.31371716,0.29674196,0.2758083,0.2595373,0.25259534,0.25462928,0.26115382,0.2676586,0.2710042,0.27101898,0.26840678,0.26393655,0.25568688,0.2416534,0.22235523,0.204211,0.19595371,0.20324011,0.22403044,0.25029024,0.27303803,0.28658044,0.29050204,0.2889705,0.2904662,0.30183432,0.32380965,0.34705845,0.36115733,0.36170503,0.3544762,0.34751725,0.3453101,0.34721294,0.35048917,0.35304108,0.35329795,0.35144305,0.34793735,0.3442684,0.34024212,0.33628407,0.3319249,0.32815108,0.3250595,0.3238832,0.3251828,0.32975963,0.3362677,0.34268168,0.34612092,0.3453814,0.3406768,0.33424377,0.32898286,0.32697988,0.32875052,0.33246443,0.33566594,0.3352883,0.32993233,0.31981146,0.30848685,0.30003658,0.29696187,0.2966412,0.29423094,0.2862138,0.27382663,0.26089388,0.2507203,0.2445219,0.24237688,0.24398452,0.24860132,0.2542414,0.25888097,0.2617544,0.26466653,0.26998433,0.27790937,0.28574693,0.29015398,0.2909403,0.2912009,0.29653654,0.3095145,0.3277199,0.34173754,0.34385595,0.33261797,0.3160138,0.30145776,0.29241624,0.28669664,0.28445923,0.28716794,0.29640582,0.3085035,0.31763256,0.31957722,0.31459478,0.306237,0.29723772,0.28959355,0.28329793,0.2787223,0.27528575,0.27361095,0.27455413,0.2786012,0.28361276,0.28546098,0.28152037,0.27342427,0.2670714,0.26799086,0.27792287,0.2931731,0.30820522,0.3183942,0.32275176,0.32232103,0.31935552,0.3150603,0.30946913,0.3009715,0.28865004,0.27361014,0.2597944,0.25055143,0.2472317,0.24768855,0.2492464,0.24898171,0.24660565,0.24279743,0.23961349,0.23695289,0.23515403,0.23507659,0.2398842,0.25041,0.26353106,0.27411726,0.28016022,0.28716847,0.30123785,0.32389295,0.34512246,0.35505638,0.34905693,0.33473316,0.32017216,0.3110009,0.30607685,0.3047779,0.3078562,0.31780207,0.33467337,0.3537697,0.36838302,0.37281406,0.3669531,0.35302237,0.33494267,0.31480384,0.2949513,0.277066,0.26355195,0.25650394,0.25723422,0.26457003,0.27462414,0.28240094,0.28487495,0.28207532,0.2767543,0.27115998,0.26672485,0.2626697,0.2579964,0.2510403,0.24147987,0.23109643,0.22402257,0.22467415,0.23375349,0.24731033,0.25838506,0.26224056,0.2589059,0.2527254,0.24762268,0.24393117,0.23860283,0.23009008,0.22112067,0.216956,0.21997696,0.22759712,0.23492609,0.23984909,0.24429877,0.25233713,0.26670325,0.28821918,0.31729376,0.3524815,0.38947988,0.4182221,0.43028596,0.4223304,0.4013882,0.37772653,0.36129034,0.3540429,0.35176417,0.34537423,0.33076528,0.3096175,0.2908465,0.2813716,0.28651133,0.30417052,0.328985,0.35064647,0.36295187,0.3654938,0.3650397,0.36895868,0.379216,0.3911922,0.3959148,0.38997242,0.37728548,0.3687028,0.37045988,0.3832486,0.39905596,0.40981528,0.40655807,0.3890222,0.36214936,0.33744192,0.3212801,0.3144079,0.3101014,0.3012835,0.28284872,0.25521934,0.2235776,0.19631799,0.18116063,0.18117316,0.19369406,0.21132617,0.22735691,0.23764081,0.24155962,0.23779333,0.22520375,0.20452492,0.18285392,0.17036237,0.17530584,0.19840704,0.2363823,0.2858278,0.34360328,0.39983174,0.4376154,0.44330445,0.41997305,0.38613915,0.36108243,0.35146734,0.3520689,0.3557025,0.35912707,0.36243498,0.36517045,0.36724123,0.3709601,0.38037524,0.39477873,0.4034965,0.3909737,0.34920073,0.28759095,0.22742765,0.18955718,0.18150799,0.19756179,0.2226427,0.24288976,0.24962427,0.24596758,0.24297827,0.25856927,0.29935303,0.35717955,0.40466523,0.42236152,0.40561864,0.3718115,0.33817005,0.31759417,0.31181988,0.3188499,0.332973,0.3495578,0.36532393,0.37964717,0.39257452,0.40417182,0.41137418,0.40873682,0.39233026,0.36685482,0.3432523,0.32993975,0.32493618,0.3199798,0.3092643,0.29432914,0.28049955,0.27308714,0.2761291,0.2943581,0.3291594,0.3734089,0.410532,0.4256405,0.4173225,0.39703178,0.37734994,0.361122,0.3443533,0.32393804,0.30265415,0.28600737,0.27756488,0.2785702,0.28968844,0.31188592,0.3407278,0.36285242,0.36063847,0.3258668,0.26920593,0.21496703,0.18595521,0.18959548,0.21626751,0.24667859,0.26423827,0.262462,0.24891146,0.23932345,0.2526419,0.29474208,0.35529485,0.40565678,0.4241898,0.4054552,0.36729065,0.3293235,0.3061835,0.2996925,0.30725837,0.32185146,0.33813354,0.3525231,0.3667338,0.38355973,0.4036019,0.41960886,0.4195155,0.39469194,0.35055467,0.3050127,0.27640972,0.27003786,0.27731517,0.2855893,0.28831455,0.28679433,0.28615215,0.2918397,0.3098692,0.3439218,0.38963056,0.43132102,0.45062265,0.4403859,0.40945387,0.374205,0.3457184,0.32622394,0.31373617,0.30691028,0.30532587,0.3070285,0.31028903,0.3170848,0.3328965,0.358089,0.3802215,0.37893915,0.3424534,0.28007492,0.21666007,0.17628606,0.16793407,0.18579112,0.2152214,0.24210642,0.25564626,0.25538862,0.25099865,0.26303825,0.3024777,0.36267754,0.41342458,0.43041682,0.40707806,0.3624408,0.3188235,0.29285467,0.28831014,0.30057684,0.31876388,0.33162868,0.3345162,0.33325395,0.3399199,0.36186162,0.39268124,0.41399106,0.40918592,0.37673497,0.33082047,0.2897536,0.26451838,0.2565483,0.26176652,0.2748536,0.29152215,0.30950427,0.32938442,0.35407963,0.38564646,0.4200451,0.44601473,0.45182428,0.4363334,0.40948477,0.38415995,0.36537573,0.35163656,0.3399159,0.32975027,0.32166454,0.31627142,0.3161039,0.32609725,0.35007584,0.38221252,0.40504205,0.3977085,0.35263017,0.28247333,0.21195035,0.16126737,0.13659574,0.13331781,0.14433639,0.16638948,0.1992652,0.24323301,0.29627272,0.3550726,0.41060078,0.45019773,0.4587873,0.4365498,0.39767852,0.3667339,0.35529077,0.3613275,0.37228572,0.37996516,0.3827474,0.383545,0.38582718,0.39132977,0.40219784,0.41782102,0.43266892,0.43483433,0.41373077,0.36997876,0.31689253,0.27393827,0.254145,0.25966856,0.28110898,0.3041811,0.31519452,0.30957678,0.2948825,0.29072914,0.31328228,0.36311007,0.41817763,0.45346963,0.4572411,0.4396942,0.41780844,0.4035212,0.3979746,0.39731064,0.39686313,0.39412883,0.38886178,0.3837086,0.3835325,0.3915988,0.40431824,0.40802982,0.38770917,0.3380431,0.27197134,0.21142435,0.17593406,0.17089172,0.19001009,0.21909451,0.24472551,0.25813988,0.26098296,0.26483575,0.28610858,0.33053818,0.38604543,0.42652383,0.43418255,0.4090844,0.3685224,0.33104482,0.3096367,0.30834436,0.32248688,0.34133366,0.35300016,0.3537523,0.34948382,0.35206637,0.36743078,0.38844243,0.39743277,0.38179922,0.34547636,0.30670688,0.28137514,0.2740753,0.27921715,0.29100347,0.3053198,0.31933606,0.33093998,0.34180316,0.35943842,0.38870946,0.42504695,0.45037773,0.4498656,0.42244482,0.38464868,0.3531557,0.33532557,0.32717702,0.32295343,0.3186721,0.31283215,0.30520377,0.29921106,0.30207667,0.31957152,0.34667453,0.36537167,0.35530362,0.31038457,0.24435776,0.18036373,0.13538928,0.11310664,0.10904219,0.11755953,0.13684319,0.16696428,0.20879485,0.26165244,0.32201776,0.37920693,0.41727003,0.42275557,0.39704642,0.35525537,0.31723878,0.29537356,0.29341766,0.3083417,0.33242252,0.3551853,0.3675405,0.3682637,0.36467472,0.36805534,0.3830533,0.40212774,0.40946212,0.3942181,0.35943946,0.31773743,0.2802544,0.24971406,0.22552676,0.20873235,0.2050581,0.21900831,0.25204656,0.29955718,0.35563502,0.4106644,0.45406428,0.47295663,0.4637796,0.4340211,0.40107465,0.37701145,0.3643098,0.35726932,0.35170543,0.3474046,0.34671044,0.35061455,0.35898396,0.37193987,0.38910285,0.40391997,0.40302122,0.37318072,0.31539088,0.24693884,0.1926425,0.16906267,0.17749435,0.20671438,0.2398067,0.26308045,0.2703612,0.2678062,0.2707812,0.29497334,0.34169826,0.39352474,0.42572093,0.42584273,0.40010417,0.3646879,0.33390012,0.31554508,0.3133749,0.3242824,0.3421904,0.3590754,0.37393153,0.3894007,0.40871945,0.42801663,0.43633804,0.42217234,0.38185802,0.32493702,0.2676907,0.2254274,0.20490636,0.20507835,0.21869679,0.23607509,0.24832995,0.2534296,0.2585424,0.27846953,0.31900537,0.36926088,0.39949504,0.3888031,0.3361685,0.26522464,0.19865239,0.14909624,0.11491618,0.092197,0.07828602,0.07285199,0.0746572,0.08087722,0.08816301,0.09458021,0.09989589,0.104391076,0.10719213,0.10678161,0.10239025,0.09539589,0.08835412,0.0831204,0.07946676,0.075867124,0.07132559,0.06687216,0.06596418,0.0745625,0.098214865,0.13784198,0.18466072,0.22428517,0.24512576,0.24725968,0.23941404,0.22988725,0.22046007,0.20915957,0.19763477,0.19211887,0.19808012,0.21459167,0.23420262,0.24937606,0.25508523,0.25058708,0.23642649,0.21632327,0.19604824,0.18270849,0.181177,0.19235186,0.21326792,0.23766561,0.25906405,0.27402106,0.28665748,0.3073071,0.3449342,0.39510527,0.4393593,0.4569377,0.44439682,0.41587603,0.39159206,0.37980986,0.37831643,0.38080952,0.384896,0.3896383,0.39453924,0.39943445,0.40732542,0.42159554,0.44141635,0.45701697,0.4555908,0.43144497,0.39395395,0.36063626,0.34480074,0.3471094,0.35968792,0.37349358,0.3829656,0.3860787,0.3855979,0.3891563,0.4068739,0.43982777,0.47558156,0.4914343,0.47582117,0.43671343,0.39806262,0.3764275,0.3722216,0.3728808,0.36953852,0.36294726,0.36096683,0.36920285,0.38725957,0.40984598,0.43077064,0.44364843,0.44385573,0.42977202,0.40772286,0.3873417,0.37760064,0.37872818,0.38655105,0.39478132,0.4007974,0.40345407,0.40490142,0.40943098,0.42373303,0.4489943,0.47624138,0.48790047,0.47209582,0.43328324,0.3896055,0.3585862,0.3457559,0.34642306,0.3530639,0.36128342,0.36922482,0.3764647,0.3838357,0.39424106,0.4096456,0.42632747,0.43365845,0.42205623,0.3935596,0.362686,0.34579933,0.348122,0.36349738,0.38143516,0.395589,0.40329906,0.4048046,0.40294304,0.40429342,0.41679093,0.4398338,0.46205696,0.46384335,0.437489,0.39151004,0.34865108,0.32427463,0.3209675,0.32950807,0.3411349,0.35113326,0.3592316,0.3669635,0.37707922,0.39175722,0.41048765,0.4269928,0.4326249,0.42134368,0.39732754,0.3712171,0.354149,0.3489655,0.35240662,0.35931206,0.36746535,0.37657204,0.3873798,0.40123507,0.42100868,0.4455177,0.46712843,0.47173607,0.45292816,0.41712725,0.3822904,0.3610812,0.35458454,0.3534044,0.34976673,0.34241363,0.33668557,0.3377361,0.3480818,0.36685523,0.39111745,0.41351834,0.42305186,0.4112791,0.38121703,0.34728858,0.32490787,0.3194715,0.32517937,0.33281147,0.336754,0.33657238,0.33509636,0.33767244,0.35165492,0.3811432,0.41874906,0.4443853,0.43715534,0.3938346,0.33245322,0.2808888,0.25647828,0.25970364,0.2784523,0.2998822,0.317206,0.32977125,0.3404846,0.35238087,0.36867285,0.38874236,0.4055643,0.40729344,0.38763443,0.3542775,0.3241552,0.31054038,0.31329718,0.32392994,0.33471647,0.34453794,0.3555067,0.37026358,0.39030597,0.41807356,0.45042434,0.47796726,0.48425093,0.4631447,0.42218685,0.3821944,0.35742953,0.3505839,0.3538758,0.3607206,0.3686826,0.37778786,0.38752842,0.39763454,0.40907443,0.42184386,0.43092278,0.42855456,0.41131708,0.38695967,0.36839756,0.36347365,0.36858857,0.37561694,0.38036582,0.38441417,0.3901303,0.3976756,0.4074186,0.42229035,0.4441938,0.46816817,0.48173964,0.47378525,0.44461426,0.40653586,0.37470254,0.3564107,0.35012814,0.35056368,0.35414863,0.35879424,0.36325824,0.36715445,0.3734727,0.38459635,0.39881408,0.40664017,0.3995156,0.3765116,0.34801486,0.32620183,0.31757328,0.3195579,0.32595074,0.33158925,0.33485088,0.3362706,0.33615246,0.33307934,0.32487932,0.3113464,0.29619405,0.28511882,0.28215703,0.28641093,0.29322863,0.29753873,0.29680708,0.2913675,0.28262225,0.2727367,0.2643849,0.26069102,0.26269296,0.26837882,0.27349076,0.274213,0.26812553,0.25465372,0.2350641,0.21387391,0.19738619,0.19167526,0.19794673,0.21219869,0.22620855,0.23365743,0.23290066,0.2281561,0.22460423,0.225518,0.23005755,0.23562537,0.2394297,0.24031247,0.23847486,0.23491175,0.23102142,0.22772259,0.2256627,0.22421055,0.2228151,0.2207061,0.2180063,0.21481985,0.21164478,0.2089221,0.20675021,0.20443767,0.20050968,0.19359106,0.18288441,0.16845012,0.15086597,0.13118921,0.11114329,0.09363377,0.08266618,0.081968434,0.093190394,0.114993416,0.14398433,0.17577408,0.20572364,0.22982568,0.24612124,0.2555641,0.2606803,0.26359117,0.26461342,0.26310948,0.25887802,0.2537221,0.2505103,0.25134167,0.25519732,0.25921568,0.2605994,0.25836256,0.25177035,0.23982447,0.22223045,0.20222025,0.18600631,0.1794442,0.1829805,0.19202767,0.20011242,0.20464595,0.20674634,0.20994903,0.21620911,0.22541483,0.23478866,0.24041803,0.23945065,0.23184441,0.22057144,0.20870613,0.19810772,0.18884163,0.18116345,0.17564245,0.17276148,0.17175722,0.17063268,0.16761212,0.16200544,0.15466958,0.14659657,0.13839556,0.13003598,0.121973135,0.11595956,0.11488354,0.12098644,0.13343179,0.14791262,0.15839559,0.16155241,0.15871574,0.15661608,0.16209759,0.17860933,0.20252526,0.22706139,0.24597259,0.25764158,0.2636855,0.2665167,0.26699492,0.26483777,0.26022622,0.25460514,0.24941385,0.24441981,0.23854558,0.23179393,0.22628158,0.22325681,0.22264099,0.22370543,0.22822984,0.23784669,0.2518741,0.266018,0.27626595,0.281063,0.28152463,0.27895525,0.27353895,0.26413384,0.25012556,0.23253103,0.21457537,0.19921188,0.1882364,0.18098567,0.17608996,0.17098218,0.16338907,0.15174644,0.13722064,0.12313104,0.11290028,0.10752737,0.105010666,0.10251937,0.09856696,0.09435794,0.09289803,0.0972507,0.1081605,0.12333503,0.1391483,0.15427141,0.17013955,0.188653,0.20796508,0.2237931,0.23249315,0.2346432,0.23307993,0.22942857,0.22291017,0.21274996,0.20258705,0.19823258,0.20301192,0.21225856,0.21773238,0.21409611,0.20409925,0.19484167,0.19274068,0.19908136,0.21105091,0.22326517,0.23178983,0.23502916,0.23441094,0.23159166,0.22752188,0.22188567,0.21425098,0.20448755,0.19247212,0.17869735,0.16508816,0.15564884,0.153805,0.15985055,0.17066722,0.1825655,0.1927244,0.19873261,0.1983103,0.19190289,0.1832851,0.1775396,0.17635332,0.1778066,0.17823957,0.17546739,0.16914552,0.16038692,0.15096933,0.14265968,0.13679539,0.13369237,0.13289045,0.13326854,0.1336723,0.13300122,0.13072388,0.12756422,0.12641877,0.13136514,0.14424276,0.16137452,0.17407973,0.1752932,0.16541417,0.15382983,0.15128566,0.16296802,0.18518294,0.21048139,0.2329929,0.25088918,0.26429972,0.27261242,0.27456746,0.26973593,0.26102275,0.25327513,0.2512442,0.2552303,0.2616227,0.26438665,0.2593828,0.24611706,0.22863488,0.2137816,0.20728408,0.21025796,0.21862902,0.22643672,0.2288479,0.22285064,0.20713234,0.18268226,0.15501326,0.13378562,0.12987842,0.1480135,0.18242681,0.21786667,0.24036117,0.24546824,0.24058907,0.23550831,0.23561542,0.23867922,0.23995776,0.23535514,0.22361253,0.20541738,0.18290712,0.15911359,0.13717844,0.119731635,0.10801729,0.101716615,0.09892417,0.09717,0.094513476,0.09039729,0.08605573,0.08488711,0.09250658,0.11331502,0.14680119,0.18518859,0.2191282,0.24220502,0.25388765,0.2553419,0.24956751,0.24103582,0.23627836,0.23803335,0.2428699,0.2433254,0.23552321,0.22266157,0.21226226,0.21021076,0.21702136,0.22902246,0.24159801,0.2520471,0.25985584,0.2657198,0.27004835,0.27277228,0.2729698,0.2695984,0.26087612,0.24587505,0.22591853,0.20753503,0.20000325,0.20976444,0.2336907,0.26046646,0.27768895,0.27978075,0.26890445,0.25146154,0.23359711,0.21965443,0.21160513,0.20907901,0.20959039,0.21007572,0.20888714,0.20629348,0.20346467,0.20066923,0.197392,0.19312705,0.18863483,0.1855638,0.18564473,0.18879645,0.19274926,0.1938139,0.19067782,0.18531139,0.18224524,0.1828373,0.18453074,0.1818667,0.17378767,0.16457379,0.16244592,0.17126052,0.18884414,0.20776623,0.22251154,0.23119538,0.23612545,0.23972799,0.24349517,0.24681956,0.24856089,0.24770428,0.24389006,0.23718177,0.22834755,0.2205318,0.2176318,0.22147413,0.22675735,0.2248257,0.20940964,0.18476017,0.16292095,0.15671198,0.17007868,0.19613089,0.22296005,0.2420588,0.2529642,0.25961557,0.26496848,0.26742622,0.2628709,0.24780625,0.22237493,0.1902966,0.1576413,0.12986639,0.110174894,0.09879037,0.094188236,0.09428942,0.09707934,0.101310015,0.10707128,0.1169557,0.13387355,0.15826686,0.18550366,0.20892943,0.22407375,0.231259,0.23333,0.23252976,0.22913651,0.22228418,0.21144433,0.19720232,0.18164319,0.16766639,0.15820837,0.15508918,0.1582795,0.16569261,0.17413487,0.18103719,0.18481751,0.1835842,0.17470957,0.15748185,0.13742395,0.124962576,0.12879713,0.14781567,0.17218542,0.19074912,0.19917302,0.200126,0.19795392,0.19383608,0.18499988,0.1694939,0.1491279,0.13060623,0.11952814,0.11674713,0.11660538,0.11199234,0.09863933,0.07767633,0.054158207,0.03388518,0.02063791,0.014892117,0.014633958,0.016787836,0.019043023,0.021405682,0.02727135,0.04155176,0.06677869,0.09925596,0.13039352,0.15165931,0.15997386,0.15912105,0.15747719,0.1636357,0.1814035,0.20745134,0.23263828,0.24775846,0.24778686,0.23498408,0.21674562,0.20286758,0.19855793,0.20223904,0.2068764,0.20925073,0.21417797,0.2335363,0.27217185,0.3212522,0.3574516,0.36280355,0.33460644,0.28931335,0.24592572,0.2172395,0.20455255,0.2038257,0.20929624,0.21756963,0.22875874,0.24659693,0.2762808,0.31704858,0.3585342,0.38137355,0.37292472,0.33567977,0.28858045,0.2501748,0.23003261,0.22563191,0.23083,0.23921096,0.24679963,0.2515453,0.25520957,0.26372647,0.2841034,0.31589285,0.34684744,0.3575064,0.33830047,0.2962046,0.2516276,0.2200398,0.20618288,0.20390278,0.20665413,0.21107091,0.21806775,0.23140685,0.2553321,0.294137,0.34245297,0.38592458,0.4016116,0.37963203,0.32520118,0.2600721,0.20222296,0.16386215,0.14617646,0.14558585,0.15250653,0.15712646,0.1551869,0.15324716,0.16807975,0.2104585,0.27490634,0.33342612,0.36195913,0.35349965,0.32677054,0.30177,0.29014012,0.28963482,0.2951317,0.30189693,0.30713436,0.31070682,0.3162587,0.3313484,0.35683358,0.38243464,0.38701415,0.35936406,0.3056396,0.2483961,0.20499648,0.18072145,0.16895068,0.16258027,0.15680213,0.1501783,0.14438844,0.14594336,0.1656909,0.2090358,0.26793578,0.3181691,0.33686027,0.31748566,0.27630347,0.23725647,0.21703906,0.21772563,0.23221351,0.2521753,0.27371258,0.2976143,0.3272181,0.36428824,0.40622392,0.44361794,0.46370217,0.45688298,0.42430103,0.37558928,0.3229305,0.2745398,0.23616247,0.21062922,0.1969211,0.18797894,0.17588381,0.16050588,0.15367901,0.17372127,0.22602387,0.29476836,0.3460171,0.35779825,0.33114958,0.29028597,0.25562957,0.23604393,0.22775136,0.22749205,0.23466761,0.2500594,0.27343985,0.30363408,0.34189412,0.38439927,0.42188087,0.436931,0.42275032,0.38467875,0.3407828,0.30202767,0.27066556,0.24181466,0.21411945,0.19034941,0.17441063,0.16956276,0.17877163,0.20768072,0.25584447,0.31232917,0.35301194,0.3610849,0.33702815,0.3010045,0.27204478,0.25866187,0.2576382,0.2641597,0.27511787,0.28941044,0.30680335,0.3286538,0.3571024,0.3898215,0.41737318,0.42502198,0.40484226,0.3617188,0.31155583,0.2685999,0.23804878,0.21711242,0.20129842,0.18930136,0.18183374,0.1810288,0.18984403,0.21492077,0.26104835,0.32237697,0.37639797,0.39654562,0.37266442,0.3195257,0.26482388,0.22851147,0.21531838,0.21939051,0.23349981,0.25269446,0.27405563,0.29798064,0.3277994,0.36828557,0.4143338,0.44945037,0.44983873,0.40786195,0.33578905,0.26356792,0.2144051,0.19963658,0.21357737,0.24360026,0.2723341,0.2863984,0.28259042,0.27242962,0.27811548,0.3120779,0.36614475,0.40821305,0.4144219,0.38164195,0.33413073,0.29341802,0.27024946,0.25990614,0.25793195,0.2622755,0.27465197,0.29721186,0.33190715,0.37950245,0.43105784,0.46804285,0.46526134,0.4137917,0.32599065,0.23340072,0.16229542,0.12491835,0.11766534,0.13063757,0.15260579,0.1743352,0.19314016,0.21470253,0.2515017,0.30872747,0.37558413,0.4245149,0.43360102,0.4013802,0.34994397,0.3047749,0.28099865,0.27860293,0.28988793,0.30539557,0.31962293,0.33371627,0.35530603,0.39160886,0.43910107,0.4800035,0.4898267,0.45725927,0.39318606,0.3248377,0.27378774,0.24482061,0.2287689,0.21549101,0.20097555,0.1860023,0.17376417,0.16935635,0.18314038,0.22454296,0.2922307,0.36580577,0.41755173,0.43214583,0.41696057,0.3919748,0.37172568,0.35959378,0.35265365,0.35016465,0.3537263,0.3660535,0.38867486,0.42273292,0.4649434,0.504373,0.52258855,0.5036424,0.4451053,0.36100626,0.2749281,0.20912015,0.17559014,0.17268646,0.18685341,0.20332156,0.21383448,0.22240143,0.23894846,0.27446404,0.32670888,0.37968215,0.4059031,0.3920833,0.34518942,0.2918963,0.2529238,0.23537289,0.23187447,0.23417793,0.23927444,0.24930167,0.26869166,0.30055884,0.34783065,0.4042215,0.45377615,0.47109023,0.4454544,0.38666585,0.3239003,0.27892175,0.25808597,0.25208434,0.2494089,0.24128534,0.22357164,0.20039074,0.18563855,0.20204197,0.25978363,0.34683064,0.42518115,0.4645038,0.4565229,0.42229697,0.3839153,0.35352382,0.3290181,0.30765474,0.291352,0.28558132,0.2949754,0.32018793,0.3605094,0.40928054,0.45325658,0.47158334,0.45279744,0.40263882,0.34456336,0.30008122,0.27930275,0.27886727,0.29137254,0.30807546,0.32168734,0.32643375,0.32196844,0.31252065,0.30445385,0.30055085,0.29748717,0.28686813,0.26060757,0.21690603,0.16279666,0.11055953,0.07077408,0.0470901,0.03659429,0.033592273,0.033231724,0.03309265,0.03386544,0.039259966,0.05463506,0.08286554,0.121571384,0.16276337,0.1982277,0.22314174,0.23785464,0.24429636,0.24434622,0.23869546,0.22825988,0.21470028,0.20176113,0.1947593,0.1984023,0.21278578,0.23285115,0.2509764,0.26103222,0.2599792,0.24775438,0.22916798,0.2131352,0.21081902,0.22658391,0.2559433,0.2861937,0.30587444,0.3080132,0.2915971,0.2584744,0.21315068,0.16253106,0.11465552,0.07598648,0.049043808,0.03270912,0.02393084,0.019858135,0.018715007,0.019646822,0.021921879,0.024414094,0.026303725,0.028544137,0.03517763,0.051545322,0.08052647,0.11868455,0.1571964,0.18631841,0.19991289,0.19830294,0.1870638,0.17564213,0.1710334,0.17565255,0.1870106,0.20278029,0.22135402,0.23933315,0.25148752,0.25407743,0.24951446,0.24312156,0.23930526,0.2382738,0.23785897,0.2340072,0.22230619,0.2009743,0.17501603,0.15553372,0.15190262,0.16682477,0.19818902,0.24879682,0.32039705,0.40482974,0.47399378,0.5019818,0.4824804,0.4385666,0.39818513,0.37736908,0.37306932,0.37555468,0.37692258,0.37540624,0.37433818,0.38028607,0.3985213,0.42640662,0.4488275,0.44404843,0.39821205,0.31911844,0.23206496,0.16352691,0.12434968,0.10943989,0.10666647,0.10661135,0.10560125,0.10592491,0.11647215,0.15114038,0.21956544,0.31208673,0.3969271,0.43785337,0.42399296,0.37694028,0.33405235,0.3190795,0.3328202,0.35988355,0.38440314,0.40031922,0.41176352,0.4272124,0.4499135,0.47529426,0.49198493,0.48813543,0.45764068,0.40545383,0.34633365,0.29648504,0.26532337,0.2522429,0.25064015,0.25202155,0.25109622,0.2480805,0.25115412,0.27219617,0.3203808,0.38977683,0.45941392,0.50038105,0.4994296,0.46450713,0.4210725,0.38872477,0.37412772,0.3709605,0.37204096,0.37355497,0.37551165,0.37885657,0.38529804,0.3972406,0.4136382,0.4244801,0.41289353,0.36831164,0.29835048,0.22499567,0.16891704,0.1367359,0.1230534,0.118467964,0.11670965,0.11494108,0.1162858,0.12989117,0.17136182,0.24615006,0.34033993,0.41680917,0.44601107,0.42354822,0.37706938,0.3380052,0.32514402,0.3368818,0.36144873,0.3851792,0.4000899,0.40722415,0.41461572,0.42989078,0.45245776,0.46999702,0.46473905,0.42466736,0.35473117,0.27536836,0.21212853,0.18219136,0.1883034,0.22016396,0.2606415,0.2945328,0.31608784,0.33176032,0.35613123,0.3983029,0.45188108,0.49397072,0.50477844,0.48340836,0.44929996,0.42329565,0.4137684,0.41667962,0.4246514,0.43171653,0.43370518,0.42949033,0.42386723,0.42599884,0.4422064,0.4682324,0.49025646,0.49413028,0.47612798,0.44293213,0.40529707,0.3706114,0.34260193,0.3219897,0.30662835,0.2938595,0.28376117,0.28433606,0.30576667,0.35420403,0.41743279,0.4692062,0.47842005,0.43676808,0.3617703,0.2900152,0.24945895,0.25010395,0.2822776,0.32784808,0.36981547,0.3999345,0.42097926,0.44111964,0.4658248,0.49187055,0.5078273,0.50165015,0.46902946,0.41781583,0.36316523,0.3196466,0.29446107,0.2861097,0.28625795,0.2858111,0.28047022,0.2761506,0.2855201,0.32261202,0.38644955,0.45778823,0.5016462,0.4960511,0.44367668,0.37367296,0.31477025,0.28264567,0.27510217,0.28306314,0.29687575,0.31038377,0.32278454,0.33775282,0.36077467,0.39004695,0.4135734,0.41347823,0.38189816,0.3283303,0.2739645,0.23622912,0.22082704,0.22417861,0.23905404,0.25805435,0.2746517,0.28757754,0.30206773,0.33030212,0.3777143,0.43651655,0.48139015,0.49206412,0.46560678,0.42267933,0.3866408,0.37095693,0.37305978,0.38343605,0.39277115,0.3982292,0.40288743,0.4136063,0.43346688,0.45897833,0.47795928,0.47819972,0.45493364,0.4176861,0.38194704,0.35865018,0.34706712,0.34070814,0.33375454,0.32237956,0.30281,0.2746915,0.24795695,0.24408877,0.2809639,0.35645834,0.44144654,0.5013482,0.5182611,0.5024688,0.4762555,0.4566449,0.44699672,0.44339666,0.44187102,0.44235668,0.4469035,0.45866802,0.47790995,0.500933,0.5171926,0.51416546,0.48324087,0.42715892,0.35851356,0.2944353,0.24989891,0.23357387,0.24482723,0.27258706,0.30123675,0.32010055,0.33194545,0.3501542,0.38747442,0.44007692,0.4855778,0.49451157,0.45454624,0.37765786,0.2942498,0.23293643,0.21029413,0.226083,0.26648208,0.31224445,0.34844074,0.37293112,0.39356223,0.41999257,0.4529437,0.4818438,0.49174848,0.4745842,0.43500054,0.38535884,0.33787438,0.2983681,0.26790997,0.24433239,0.22761506,0.2197497,0.22723861,0.2559282,0.31073508,0.3846276,0.45955858,0.5063851,0.50847214,0.46935725,0.4153962,0.37262833,0.35421062,0.35572362,0.3647964,0.3729211,0.37922588,0.39024243,0.4103867,0.4397914,0.4703176,0.48975062,0.48350704,0.44488275,0.38068128,0.3116757,0.2607592,0.24111122,0.2510893,0.27850902,0.30948392,0.33506843,0.35555795,0.3776323,0.4110118,0.45638528,0.5035472,0.5311916,0.5265037,0.49140808,0.44490966,0.40629685,0.387745,0.39062902,0.40832278,0.4296173,0.44147334,0.437943,0.42355657,0.41395196,0.4214538,0.44315064,0.4569877,0.43946406,0.38498148,0.31249186,0.25027856,0.21691072,0.21246593,0.22453286,0.23916554,0.24816363,0.2525624,0.26148668,0.28955725,0.3437042,0.41292527,0.46725622,0.4793959,0.4454833,0.3876638,0.33605382,0.30895787,0.30936858,0.32881197,0.355134,0.37620437,0.38631535,0.38918796,0.39597544,0.41580358,0.44610965,0.47109234,0.4717028,0.43970963,0.38309908,0.31967738,0.26563522,0.22823907,0.20689036,0.1973867,0.19862692,0.21259968,0.24389128,0.2947811,0.3633374,0.43756184,0.49692774,0.5198397,0.5005978,0.4520732,0.39836967,0.35655704,0.33278134,0.32335213,0.32291678,0.32662383,0.3329687,0.34385133,0.36322224,0.3915291,0.4196854,0.42987797,0.40590584,0.34715262,0.27168792,0.205586,0.16742831,0.15949161,0.17147411,0.18783404,0.1989824,0.20311205,0.20878345,0.22729087,0.27130783,0.34009957,0.4189074,0.47697273,0.49513328,0.4735843,0.4370769,0.40725806,0.3931773,0.3867065,0.3793334,0.3716805,0.3729554,0.3920637,0.42690027,0.46706378,0.4963335,0.50153756,0.47604266,0.4278033,0.37682208,0.34402,0.33666587,0.34565464,0.35673895,0.36121628,0.35955003,0.35498276,0.35251996,0.35791656,0.38138035,0.4254525,0.47967696,0.51552266,0.51000684,0.45804155,0.38218784,0.31304517,0.27576897,0.2754109,0.3000827,0.33062485,0.35529396,0.37521622,0.3978106,0.4258033,0.45264587,0.46480206,0.45166802,0.412956,0.36434504,0.3267791,0.31438646,0.32411504,0.34311044,0.3581744,0.36279774,0.3546964,0.33576134,0.31405497,0.30774626,0.33243093,0.38758704,0.4475263,0.48441696,0.4875642,0.47109333,0.4526453,0.44158283,0.4369371,0.43618453,0.43446627,0.42612147,0.40805185,0.38738164,0.37782696,0.3897481,0.41900918,0.44877005,0.46042934,0.4476297,0.41821897,0.3868765,0.36236057,0.34331885,0.32261863,0.29700676,0.2727944,0.26172435,0.27395812,0.31181324,0.3704486,0.4355481,0.4868401,0.50510633,0.48771498,0.44953156,0.41286084,0.39012837,0.3814743,0.38114193,0.38545024,0.3935612,0.40516868,0.42004475,0.4381769,0.45756388,0.47014284,0.4630607,0.427912,0.37007388,0.30694517,0.25694218,0.2292506,0.22320558,0.2317995,0.24684422,0.26185557,0.27421737,0.2833939,0.28793308,0.28568986,0.2763864,0.26370963,0.25154585,0.24088813,0.22863172,0.21265711,0.19428621,0.17857741,0.1683207,0.16232555,0.15628205,0.14798856,0.13755345,0.12559418,0.11131827,0.094417594,0.07770049,0.067177385,0.069121175,0.08579546,0.11285404,0.14221053,0.16744095,0.18845935,0.20741034,0.2237332,0.23201011,0.22883387,0.21761583,0.20888579,0.21189065,0.22843488,0.24890117,0.25924015,0.24881075,0.21949928,0.18334664,0.1553226,0.1438253,0.14814448,0.1617999,0.177943,0.19323249,0.20765525,0.22187607,0.23413152,0.24042816,0.2372253,0.22411038,0.2030502,0.1774952,0.15147866,0.13076513,0.11976675,0.1190433,0.123160325,0.12564524,0.12388972,0.12180555,0.12653124,0.14250803,0.16787092,0.19369549,0.20938866,0.2076069,0.18875594,0.15891479,0.12657692,0.098281115,0.07733787,0.06367254,0.055240106,0.049649183,0.045342956,0.041810174,0.038906455,0.03647639,0.034270253,0.03219973,0.030337522,0.029605648,0.03234303,0.042558078,0.062389564,0.089445494,0.11596769,0.1357634,0.14824356,0.15903611,0.17259212,0.18934023,0.20571582,0.21854085,0.22599803,0.22803408,0.22549789,0.21981901,0.21217345,0.20282514,0.19139785,0.1773854,0.16097263,0.14342205,0.12667644,0.11240066,0.10026407,0.088546306,0.075640954,0.06292046,0.05413051,0.052875374,0.059372436,0.0701201,0.07995981,0.08460974,0.08278369,0.077251725,0.07353287,0.076598756,0.08658842,0.09883105,0.106201656,0.10442016,0.093725465,0.079273365,0.066552304,0.058850437,0.054944437,0.05225861,0.048631277,0.04441179,0.041059528,0.039609533,0.039697256,0.03963329,0.039095927,0.038366213,0.038643003,0.039162148,0.039813213,0.040326685,0.0414905,0.04279456,0.04413396,0.046041723,0.049804617,0.055879746,0.063181244,0.07049558,0.07677857,0.08236684,0.08722514,0.09183323,0.09559264,0.09842398,0.09922851,0.09722698,0.09157164,0.08315591,0.07399308,0.06638762,0.061659113,0.060268905,0.06280234,0.070843466,0.086821936,0.11142876,0.14047234,0.1637968,0.17084642,0.15697531,0.12750699,0.092593394,0.06195696,0.039967675,0.027363556,0.022560785,0.0237695,0.028873593,0.036154296,0.044891205,0.055081952,0.06569953,0.073349975,0.07383235,0.06542764,0.050689925,0.03510709,0.02426064,0.021699088,0.027881652,0.040156122,0.05367921,0.06440282,0.07177175,0.08036497,0.09538304,0.11762949,0.1396627,0.15187235,0.14956886,0.13710584,0.122725934,0.11219174,0.106339455,0.103085876,0.100536615,0.097628,0.096794955,0.10611519,0.14092799,0.21197712,0.31288075,0.41394272,0.48220292,0.5035108,0.49142268,0.47043905,0.45657745,0.45179984,0.45029196,0.44771942,0.44270313,0.4379343,0.43808565,0.44812238,0.4679121,0.4886935,0.49718985,0.48527023,0.45925084,0.43456507,0.42386916,0.42729473,0.43676075,0.44520915,0.45121908,0.4564228,0.46244082,0.4720906,0.49076578,0.5222034,0.55920774,0.5836844,0.57719916,0.54061824,0.492727,0.45828274,0.44579926,0.44909695,0.4551657,0.4577657,0.4565935,0.45501217,0.4567366,0.4657099,0.4826235,0.5017554,0.511594,0.5042764,0.48227933,0.45835796,0.443382,0.44057772,0.4451342,0.452806,0.4608097,0.46737495,0.47030628,0.4715325,0.47851405,0.49974164,0.53207606,0.5591787,0.5594057,0.52847236,0.48154178,0.44438598,0.4293251,0.43239912,0.4399064,0.4433669,0.4416578,0.4389753,0.43927482,0.4459193,0.45922503,0.47537342,0.48494908,0.4794867,0.45879385,0.4337422,0.41718152,0.41434726,0.42071852,0.42943943,0.43724108,0.4441819,0.4507557,0.45822874,0.4708505,0.49476525,0.52851504,0.55827445,0.5627819,0.533068,0.48117638,0.43221316,0.40370592,0.3965367,0.4010664,0.40822062,0.41366112,0.41769066,0.42304763,0.43508336,0.45630327,0.48333976,0.5045015,0.508781,0.4938105,0.4706975,0.45355392,0.44969106,0.4546378,0.4601232,0.46078357,0.45653942,0.4509436,0.4498439,0.46097472,0.48904076,0.5288425,0.5632561,0.57205844,0.5483677,0.50482225,0.46435463,0.44168985,0.43589142,0.43668604,0.4357766,0.4313874,0.42604575,0.42313862,0.42573532,0.43598327,0.45327353,0.47101903,0.4789814,0.46966112,0.4471484,0.42333853,0.41009924,0.40916026,0.41599593,0.42414984,0.43114778,0.43582377,0.43996456,0.44792762,0.4677824,0.5013605,0.53684515,0.5501957,0.5245455,0.46714607,0.40612718,0.36875507,0.3620561,0.37419948,0.38898563,0.39778456,0.40102783,0.40249887,0.40714338,0.41877496,0.43937457,0.46290126,0.47806787,0.47429624,0.4540732,0.429191,0.4131734,0.4095609,0.41549277,0.42568943,0.43761864,0.44900274,0.45911202,0.4699271,0.48752657,0.5158739,0.5479762,0.56599087,0.551804,0.5059609,0.44676054,0.3995446,0.3755248,0.371917,0.37776098,0.38618305,0.39484635,0.4049462,0.41859522,0.43826437,0.4633654,0.48633566,0.49372053,0.47587407,0.43702766,0.39472416,0.36709717,0.36072394,0.3695875,0.3835478,0.39608645,0.4056854,0.41380492,0.42462215,0.44410315,0.4774214,0.51773834,0.5477204,0.5462046,0.51285756,0.465884,0.4326208,0.4219245,0.42648515,0.43157855,0.43274412,0.43352428,0.43876076,0.44803226,0.45775494,0.46609315,0.47130156,0.4700217,0.4565165,0.43207446,0.40672994,0.39404702,0.39837644,0.41367367,0.43039265,0.44401136,0.45376492,0.45928362,0.46058717,0.46243784,0.474799,0.5015626,0.53384286,0.54950386,0.53568786,0.49676922,0.4557482,0.42980465,0.42374352,0.4278516,0.43334523,0.43518245,0.43467042,0.4344827,0.43917346,0.45208323,0.47219774,0.49036226,0.49432144,0.4786671,0.4522904,0.4306076,0.42390338,0.42989495,0.44053817,0.44938695,0.4546379,0.45776203,0.46173465,0.4721414,0.49414942,0.52689713,0.5588773,0.57110196,0.5524741,0.508772,0.46175447,0.43037435,0.42070946,0.42493525,0.43342826,0.44014063,0.44428718,0.4469215,0.451944,0.46332845,0.48226073,0.5003455,0.50552744,0.49030808,0.46310624,0.439355,0.43102038,0.43612227,0.44631234,0.45446265,0.4586073,0.4596734,0.4596922,0.46448255,0.4808816,0.5108941,0.5432574,0.55895,0.5446082,0.50636,0.46418914,0.4375008,0.4311696,0.4381993,0.4477687,0.45311022,0.45282984,0.44994357,0.45062447,0.46033064,0.479146,0.49694347,0.49947628,0.47853914,0.44295296,0.4105924,0.39621285,0.3994588,0.4117583,0.42432913,0.43454012,0.44204855,0.44766867,0.4544876,0.46965873,0.4987041,0.53470975,0.5579171,0.54765916,0.5039547,0.4470115,0.40388027,0.38570216,0.38811103,0.39908817,0.41122627,0.42108747,0.4288179,0.4367682,0.4505621,0.47293186,0.49811712,0.512198,0.5050435,0.48116326,0.45683822,0.44607362,0.44907764,0.45630646,0.45933306,0.45760927,0.45522723,0.45555183,0.4613823,0.4763153,0.5041695,0.5381927,0.5615302,0.5540087,0.51529694,0.4639803,0.4272937,0.4156886,0.42271116,0.43334946,0.4394709,0.44065621,0.44065335,0.44283882,0.45013657,0.4637048,0.4801831,0.48986438,0.48297837,0.45819148,0.42645767,0.40197036,0.39230302,0.39474317,0.40266195,0.41110182,0.417774,0.42201826,0.42597175,0.43584493,0.4595832,0.49477196,0.525944,0.52879953,0.49595106,0.44164476,0.39683083,0.38008997,0.39203176,0.41763434,0.44382384,0.4624513,0.471532,0.47181633,0.46810624,0.46677887,0.4706138,0.47463587,0.47005692,0.4536929,0.43285465,0.41875353,0.4169291,0.4235988,0.43202507,0.43843088,0.4434158,0.4488944,0.45744178,0.47251084,0.49820223,0.5321367,0.5624006,0.5704619,0.5474556,0.5027019,0.4597669,0.43784058,0.43939817,0.45215884,0.46128622,0.46046615,0.45282474,0.44593585,0.4458295,0.45388278,0.46683934,0.47558883,0.47119012,0.45056045,0.4243326,0.40811267,0.4120878,0.43113676,0.45283487,0.46715733,0.4736968,0.47690916,0.48228347,0.49279773,0.51065344,0.5320197,0.5468717,0.5408333,0.5098335,0.46514288,0.42864326,0.41516566,0.42444625,0.44490108,0.46541741,0.4807329,0.48939455,0.49071681,0.4860904,0.48154327,0.48386398,0.4922378,0.4967611,0.4872167,0.46598926,0.44624195,0.44148907,0.45331398,0.47346783,0.4914721,0.50198555,0.5053696,0.50537544,0.50728554,0.51606655,0.5326534,0.550153,0.5559935,0.54111975,0.5094847,0.47533008,0.45320132,0.447264,0.4528356,0.46173224,0.46827748,0.47099292,0.4715505,0.47436562,0.48166963,0.49221882,0.49692824,0.48626134,0.45648113,0.41895166,0.3920485,0.3890401,0.40706024,0.43268213,0.453686,0.4668778,0.4762793,0.4868232,0.50121725,0.519755,0.5417986,0.5629857,0.57590765,0.5723557,0.55326605,0.5280555,0.5097015,0.50257826,0.50304586,0.5039514,0.5025047,0.49932003,0.4971025,0.49734676,0.5012932,0.50724,0.5115257,0.50924355,0.5002455,0.48989502,0.4858366,0.49044624,0.49931398,0.5052731,0.5053262,0.50135475,0.4981096,0.49892843,0.50726056,0.52527285,0.55345124,0.58304214,0.5998915,0.5904402,0.557682,0.5175201,0.48999152,0.48150244,0.48636258,0.49314067,0.49572897,0.49360287,0.49049234,0.4905546,0.4970669,0.5093381,0.5213389,0.5237307,0.5102748,0.48417222,0.45672014,0.43964303,0.43692097,0.4442167,0.4543948,0.4627354,0.4683142,0.47202095,0.47666636,0.48646104,0.506527,0.53445405,0.5591831,0.5637391,0.5429383,0.5063532,0.47383058,0.45699564,0.45612302,0.46318996,0.47182813,0.4784561,0.48331776,0.4884036,0.49739936,0.5111137,0.5257788,0.5334608,0.5281846,0.5108904,0.48970535,0.4744021,0.46942952,0.47321525,0.48113453,0.49051547,0.49935198,0.50628424,0.5104794,0.5151332,0.5257196,0.543612,0.56128496,0.5656789,0.5507588,0.52361554,0.4988143,0.48562667,0.4826878,0.48442996,0.48712853,0.49050975,0.49325478,0.49386868,0.4926819,0.49336538,0.49817482,0.5036377,0.50229394,0.4904443,0.47395977,0.46318468,0.46326497,0.46916208,0.47217107,0.4689747,0.46394753,0.46428943,0.4742039,0.49401125,0.52152306,0.5503635,0.56984377,0.5674303,0.54070765,0.5009884,0.46861255,0.45664063,0.46381474,0.47831023,0.48921093,0.49318597,0.49308595,0.49345222,0.49701342,0.50454545,0.5142586,0.52070814,0.5168676,0.49947664,0.4751855,0.45586058,0.4498712,0.45419312,0.45990255,0.46040082,0.45644608,0.4522175,0.45163503,0.45759484,0.47340152,0.49830613,0.52363527,0.53438616,0.5219801,0.4927667,0.46394208,0.44931686,0.44998655,0.45803562,0.46488878,0.46686473,0.46406206,0.45859778,0.45369112,0.45276228,0.45692447,0.4612235,0.4575086,0.4403281,0.41564676,0.39593711,0.39212736,0.4033529,0.42079046,0.434737,0.44138852,0.44221672,0.44147685,0.44503376,0.45942748,0.4867519,0.51873684,0.53872323,0.53417534,0.509686,0.48293018,0.47083578,0.47543225,0.48857903,0.50009173,0.50636524,0.50702816,0.5039695,0.4992534,0.49643394,0.49694514,0.49669185,0.48788,0.46549162,0.43544307,0.40980557,0.39892182,0.40247405,0.41431308,0.42856732,0.444167,0.4614903,0.48013422,0.50009567,0.5232716,0.5511102,0.5770614,0.58770037,0.5702222,0.5276329,0.4772309,0.44097617,0.42773256,0.43247852,0.44310978,0.4519947,0.45753765,0.46133506,0.46599916,0.47392955,0.4862968,0.49676502,0.49497846,0.47358635,0.44092095,0.41452798,0.40893015,0.42248794,0.44332978,0.460587,0.4716046,0.478953,0.48492983,0.49192205,0.5033566,0.5237476,0.5498309,0.57089037,0.5722111,0.552651,0.5230149,0.50137466,0.49408388,0.49774233,0.5027277,0.5048674,0.5045745,0.50534064,0.50931686,0.5161674,0.5227044,0.52386266,0.5159776,0.4994237,0.48039833,0.46659526,0.46265987,0.4665991,0.47336498,0.47873816,0.4818376,0.48366487,0.4861538,0.49298462,0.50833184,0.5344963,0.56455255,0.5849852,0.58090454,0.5519384,0.5115135,0.48073936,0.4703066,0.47784376,0.4918263,0.502538,0.50536186,0.50049466,0.49137905,0.48354223,0.48184922,0.48489842,0.4849464,0.47333193,0.45078778,0.42728698,0.4149287,0.41775766,0.43166426,0.44995323,0.46846154,0.4855249,0.49960414,0.5103817,0.5201679,0.53474814,0.5548871,0.5736391,0.5765144,0.5581443,0.5255703,0.4964604,0.48093215,0.47905767,0.4827247,0.48661843,0.48843423,0.48888493,0.4888958,0.490859,0.49603963,0.5022673,0.5025896,0.49113932,0.46899328,0.44620228,0.43356892,0.4355389,0.447552,0.46291485,0.47744226,0.4905715,0.5022082,0.5128246,0.52488965,0.54275554,0.5657563,0.5841233,0.5825737,0.5551333,0.5126839,0.47603238,0.4591227,0.46013138,0.46819142,0.47346327,0.4727895,0.46711412,0.4595826,0.45494795,0.45744908,0.46739766,0.47739294,0.47829175,0.4665326,0.45049646,0.44115797,0.4432352,0.4503803,0.45564714,0.45769587,0.46089342,0.46741292,0.47672716,0.48921677,0.50912935,0.5366759,0.5617265,0.5668418,0.54397345,0.5039452,0.4685824,0.45271325,0.45438862,0.463262,0.47068825,0.47524548,0.47723088,0.47736225,0.47621986,0.47674763,0.48092398,0.48658535,0.48796138,0.4806855,0.4678848,0.45680198,0.4538715,0.4580034,0.46419683,0.46671978,0.46356538,0.4550918,0.44524005,0.44144607,0.45358226,0.48447618,0.52321863,0.54788035,0.542784,0.5119702,0.47604156,0.45466554,0.45154694,0.45655274,0.45762035,0.45187798,0.44454086,0.44219676,0.44734547,0.458894,0.4735941,0.48567256,0.4885057,0.47953293,0.4651581,0.45604387,0.45885178,0.4700506,0.48096457,0.48462212,0.48108783,0.47494826,0.47277907,0.47984514,0.49965343,0.52902377,0.5561424,0.5633531,0.54061043,0.49427605,0.44442448,0.40986708,0.39852586,0.407096,0.42849126,0.45462474,0.47764018,0.49108866,0.49372324,0.49129632,0.49058318,0.4927088,0.49075606,0.4785407,0.4596441,0.44590092,0.4471124,0.46090332,0.47673357,0.48425257,0.48129264,0.47099185,0.4584968,0.4455926,0.43134236,0.41092405,0.3805678,0.3395519,0.29366136,0.25078005,0.21766688,0.19609715,0.18458039,0.17948653,0.17729561,0.17524432,0.17249338,0.16958316,0.16726542,0.16519009,0.16169898,0.15523292,0.14543079,0.13449632,0.1251053,0.119193606,0.11568702,0.11305105,0.10978664,0.10619215,0.102448545,0.099301845,0.09696489,0.09553334,0.09435763,0.09259751,0.08983758,0.08571666,0.080873385,0.07593828,0.07227462,0.06988131,0.0689288,0.06883446,0.06983229,0.07133428,0.073637046,0.076930165,0.0819796,0.08801817,0.093368985,0.095580816,0.09318787,0.0869889,0.079874426,0.07550459,0.07499578,0.07729395,0.07945457,0.079910904,0.077909686,0.07513329,0.07319623,0.074014135,0.07760671,0.08423854,0.093469895,0.104522735,0.11504978,0.1230385,0.12803957,0.13123588,0.13383406,0.13603646,0.13720457,0.13659497,0.13399927,0.1302691,0.12689261,0.124866836,0.122894265,0.11802081,0.1079742,0.09463365,0.082187876,0.07393172,0.06830949,0.06273348,0.055629995,0.04906228,0.04463284,0.0437409,0.045752656,0.050032213,0.05499738,0.05984437,0.06358271,0.06505317,0.062884666,0.057286587,0.050614774,0.04565121,0.044118706,0.045492534,0.048699763,0.052378416,0.0573345,0.06410716,0.07225773,0.07794318,0.07828272,0.07269334,0.063579515,0.052476827,0.040296588,0.027941257,0.017502623,0.010371435,0.0065295026,0.004701557,0.0037893748,0.0032112256,0.0028368265,0.0026214253,0.002542418]