[0.0064095184,0.0063481764,0.0062656724,0.0062484536,0.006242035,0.0061031953,0.0058720983,0.006590706,0.010974824,0.023284167,0.04665802,0.07991878,0.11610878,0.14608876,0.16392379,0.17016788,0.16992867,0.16847153,0.16828822,0.16905962,0.16949402,0.16863614,0.16635384,0.1629377,0.15884182,0.15448678,0.15045281,0.14723206,0.1451242,0.14388354,0.143157,0.14276963,0.14282157,0.14343792,0.144307,0.1450476,0.14496821,0.14363658,0.14073162,0.13671143,0.13250822,0.12908062,0.1268639,0.12554172,0.12420923,0.12111333,0.114165395,0.10214428,0.086146854,0.06950761,0.055732083,0.04656851,0.041571498,0.040115505,0.043126374,0.053413406,0.0727066,0.09877932,0.12457623,0.14235489,0.14824715,0.14445156,0.13638367,0.1290195,0.12483152,0.12430332,0.1269034,0.1315103,0.1364872,0.14009403,0.14114861,0.13960578,0.13638963,0.13280521,0.12968956,0.12717633,0.12483121,0.12204298,0.11828596,0.11345232,0.10823998,0.10397919,0.101821296,0.10182641,0.10298229,0.10415783,0.10487748,0.10544634,0.10616239,0.10659564,0.105080195,0.09928129,0.08778843,0.07167864,0.054622155,0.040726885,0.032256477,0.028693065,0.028356517,0.0306418,0.037552554,0.052384645,0.07645864,0.1060901,0.13346028,0.15131198,0.15769917,0.15663923,0.15426266,0.15449499,0.15736715,0.16057831,0.16172361,0.15962847,0.15437865,0.14693539,0.13878037,0.13143037,0.12599216,0.122784056,0.12157936,0.12178444,0.12256419,0.12266371,0.12096986,0.11730039,0.112989776,0.10991469,0.10928685,0.11069096,0.11292162,0.11468954,0.11567381,0.11616171,0.11720046,0.11956561,0.12362519,0.12859085,0.133345,0.13676406,0.13852812,0.13883345,0.13827743,0.13749398,0.1369984,0.13687164,0.13645934,0.13443643,0.12980904,0.1230796,0.116848,0.11423712,0.1169435,0.1237301,0.13166851,0.13774593,0.1404505,0.13942017,0.13534169,0.12958063,0.12386071,0.119051285,0.1143305,0.108035594,0.09936305,0.08952337,0.081043206,0.07654066,0.07768179,0.08442987,0.09456766,0.104154326,0.10943332,0.10897324,0.10444602,0.099314995,0.0965021,0.09643063,0.097366266,0.0972526,0.09592998,0.09442309,0.09342846,0.09205869,0.08966336,0.08676327,0.08490088,0.08459902,0.08522897,0.0858948,0.08677685,0.08919298,0.09499977,0.10558549,0.12059703,0.13735369,0.1517867,0.16083229,0.16395424,0.16275944,0.15920432,0.15468849,0.15011676,0.14638875,0.14409246,0.14293331,0.14177118,0.1392981,0.13529366,0.13058735,0.12657335,0.12388769,0.122395635,0.121551774,0.121106595,0.12102332,0.121127255,0.12100783,0.12039205,0.11937276,0.118376434,0.117727526,0.117717676,0.118479274,0.120001696,0.12188911,0.123353325,0.1233468,0.12048262,0.11357242,0.10234925,0.0883287,0.074366555,0.06307482,0.055607323,0.05131341,0.04957448,0.051046625,0.05858417,0.074458234,0.097737454,0.12253525,0.14174247,0.1513502,0.1528915,0.15065826,0.14801456,0.1457931,0.14332956,0.14004077,0.13553633,0.12955487,0.12191951,0.113464184,0.10588523,0.10114733,0.09998267,0.10174047,0.10478426,0.107599296,0.10905492,0.10865576,0.10672301,0.104671545,0.104282685,0.10642312,0.11021974,0.1138452,0.115972556,0.116481364,0.115873694,0.11423311,0.11114085,0.10632401,0.10069207,0.09603397,0.094050914,0.09491151,0.097384274,0.09978845,0.1013045,0.10218698,0.10329443,0.10567213,0.11021676,0.1173054,0.12604277,0.13419226,0.139313,0.14013697,0.13739991,0.13283366,0.12830968,0.12476531,0.12228268,0.12018476,0.117532015,0.113921285,0.109392434,0.10471209,0.10026968,0.09645274,0.093026794,0.0900293,0.087429315,0.08552295,0.08437562,0.083954066,0.08405597,0.08459111,0.08555281,0.08702726,0.0891094,0.09196958,0.09563562,0.09991064,0.10418385,0.107832134,0.11045209,0.11193362,0.11221418,0.110962905,0.108150594,0.104166895,0.10030117,0.097372435,0.09506589,0.091333784,0.08449259,0.07526665,0.06737436,0.06481142,0.06846805,0.07526512,0.080661446,0.08179248,0.07866797,0.07292301,0.06644941,0.060497552,0.05578814,0.052443173,0.050248664,0.048787773,0.047772806,0.047048125,0.04657122,0.046240512,0.045964938,0.045660656,0.045348912,0.045022085,0.044646427,0.04414575,0.04350886,0.04281543,0.042200793,0.041831616,0.041821912,0.042194754,0.04285863,0.044273555,0.04868923,0.060894996,0.086122066,0.12528934,0.17185622,0.21419968,0.24293156,0.25549302,0.25510105,0.24560244,0.22938281,0.20932622,0.19095807,0.18207556,0.18786697,0.20848997,0.23746186,0.26619694,0.28697062,0.29718873,0.2981746,0.29344884,0.28523013,0.2737161,0.2578908,0.23735529,0.2138748,0.19116418,0.17370383,0.16387956,0.16078381,0.15990615,0.15651979,0.1477759,0.13523449,0.12272122,0.11513943,0.115186214,0.12327693,0.13655514,0.15071328,0.16114461,0.16527309,0.162838,0.15565048,0.14627913,0.13789086,0.13441911,0.1409189,0.16068004,0.19218302,0.22662486,0.25297615,0.26317203,0.2568777,0.23801668,0.21212888,0.18394248,0.15888931,0.14241707,0.13826424,0.1466829,0.1646419,0.18770617,0.21139367,0.23175164,0.24591957,0.25240704,0.2522855,0.2478409,0.2417443,0.23486246,0.22673297,0.21639825,0.20353614,0.18877648,0.1730162,0.15735246,0.14298157,0.13078322,0.12115604,0.1135647,0.10840002,0.1069315,0.11097982,0.11994014,0.13050513,0.1381196,0.14002545,0.13656259,0.13011834,0.12351399,0.11930647,0.120555975,0.13147946,0.15415992,0.1861496,0.21846808,0.24258758,0.25341305,0.25214264,0.24018039,0.21923417,0.19147117,0.16325109,0.14220776,0.13310778,0.13403122,0.13823652,0.13921694,0.1352728,0.13026172,0.13015838,0.13884008,0.15564252,0.17587785,0.19319578,0.20209531,0.19992338,0.18748426,0.16828115,0.14695568,0.1273608,0.111842275,0.10081134,0.09356657,0.08884952,0.086073644,0.085713565,0.08890861,0.09602817,0.10553509,0.11464105,0.1207918,0.12321869,0.122541375,0.12006744,0.116772324,0.11337104,0.11015531,0.10727661,0.1046777,0.102429174,0.10051495,0.09875075,0.096599706,0.093532234,0.089443766,0.08483537,0.08085656,0.07900465,0.08071575,0.08626161,0.09426304,0.102233715,0.108343504,0.11232257,0.11503327,0.11716321,0.11887708,0.11997661,0.12052667,0.12054265,0.12018296,0.119249605,0.11760551,0.11475528,0.11053673,0.10510525,0.09942112,0.09448714,0.09081217,0.087940894,0.08507817,0.08179295,0.078384824,0.07544219,0.07396245,0.07599282,0.08570143,0.107627474,0.14287145,0.18550533,0.2245199,0.25064275,0.2619783,0.26327747,0.25903794,0.24883167,0.22873683,0.19858797,0.16663356,0.14735745,0.15125935,0.17587048,0.2046724,0.2195354,0.21468265,0.20197938,0.19996566,0.21848647,0.2521347,0.2864629,0.31065944,0.32316306,0.33004436,0.33629486,0.34172592,0.3407495,0.32882115,0.3056746,0.27666256,0.24860246,0.22763433,0.21661414,0.2153222,0.21977115,0.22453775,0.22562863,0.22431602,0.22566378,0.23470311,0.25093457,0.269261,0.2830635,0.28872147,0.2853427,0.27393177,0.2572749,0.24100244,0.23275602,0.23687077,0.25077394,0.26544535,0.27301767,0.2712778,0.26365253,0.25317356,0.23959382,0.22043276,0.1951335,0.16790564,0.14677294,0.14034045,0.15255491,0.18038122,0.21461733,0.2446896,0.26349702,0.26931414,0.26522502,0.2558277,0.24543943,0.236358,0.22904491,0.22231494,0.2136722,0.20136558,0.18513578,0.16765137,0.15183376,0.14017844,0.13314329,0.13049899,0.1314608,0.1356669,0.1438368,0.15710694,0.17609203,0.19832814,0.21962328,0.23455925,0.23963279,0.23273546,0.2144327,0.1876896,0.15921502,0.13840091,0.13396049,0.14855137,0.17589426,0.20320578,0.21838038,0.21563828,0.19748396,0.17103253,0.14488249,0.12575525,0.11887568,0.12671117,0.14878105,0.17958619,0.21009608,0.23093037,0.23718303,0.23089473,0.21932507,0.21094434,0.20985365,0.2146089,0.21938771,0.21906404,0.21138269,0.1977567,0.18112977,0.1645089,0.14986621,0.13757412,0.12704833,0.11741794,0.10911557,0.10345692,0.102129884,0.10550887,0.11277316,0.12180974,0.13037471,0.1362886,0.13848643,0.13702057,0.13311793,0.12822108,0.12331736,0.118688464,0.1141715,0.10974371,0.10570139,0.10269943,0.101269685,0.10140415,0.10235535,0.10300246,0.10281851,0.10249517,0.10399287,0.10898361,0.11744357,0.12708469,0.13510527,0.1400227,0.1422522,0.14275663,0.14181246,0.13893896,0.13378592,0.1268095,0.119197674,0.11241997,0.10746085,0.104600124,0.1033623,0.10318679,0.10373971,0.10511971,0.10754805,0.11113426,0.115759514,0.12107503,0.12660068,0.13171197,0.1359142,0.13893645,0.14089064,0.1418489,0.14170378,0.14013875,0.13738513,0.13534443,0.13804874,0.15081549,0.17618243,0.21145236,0.2477314,0.2761696,0.29248703,0.30098304,0.30916396,0.32261196,0.3392699,0.35290942,0.35772124,0.35392454,0.34611845,0.34005818,0.33866426,0.34247658,0.35147563,0.3659134,0.3843994,0.40232775,0.4136187,0.41484955,0.4070404,0.39380732,0.37791204,0.36028624,0.34140834,0.3230916,0.3085508,0.3003132,0.29830953,0.29937747,0.29998195,0.29831168,0.29547432,0.29328617,0.29322216,0.29560497,0.3010123,0.31018862,0.32304987,0.3361328,0.34238708,0.3345311,0.31141806,0.2802249,0.2524764,0.23515804,0.22775285,0.22486742,0.22276819,0.21980579,0.21494614,0.20580526,0.19202141,0.17723876,0.16976899,0.17670375,0.19986887,0.23142672,0.2598188,0.27514622,0.2774715,0.27304223,0.26933134,0.2679775,0.2663209,0.26208636,0.2560955,0.2513763,0.24863933,0.24603705,0.24031764,0.23062931,0.21948256,0.21186094,0.21155833,0.21797194,0.22615306,0.23046196,0.22922403,0.22493356,0.22118731,0.21812372,0.21295941,0.20259964,0.18733238,0.16973574,0.15324213,0.14066374,0.13561428,0.14161722,0.15963054,0.18481849,0.20847528,0.22291164,0.22678678,0.22400028,0.2201863,0.21798682,0.21808124,0.22049515,0.22652398,0.23610725,0.24643064,0.25198475,0.24862558,0.23630653,0.21929877,0.20276052,0.18998511,0.1812311,0.17506824,0.16982456,0.16472827,0.16020249,0.15730582,0.15668465,0.15736043,0.15702097,0.15356876,0.14678396,0.13829482,0.13010056,0.123360306,0.118518025,0.11584699,0.11562728,0.11742022,0.120198876,0.122725666,0.12455934,0.12589186,0.12728553,0.12893109,0.13064142,0.13184832,0.1321308,0.1313685,0.12987214,0.1279281,0.1255428,0.1224371,0.118405245,0.11370579,0.10893529,0.10509858,0.1033656,0.10514929,0.11083727,0.11918772,0.12708192,0.13176145,0.13215287,0.12958701,0.12634437,0.12477347,0.1260633,0.12988482,0.13407944,0.13624267,0.13494821,0.13093238,0.12574,0.12093777,0.116854765,0.11317486,0.10928737,0.105836906,0.10559072,0.113755226,0.1350118,0.16992837,0.21207106,0.2514994,0.27968106,0.29437205,0.2973821,0.29141715,0.27669635,0.25303385,0.22304595,0.19461602,0.17761426,0.17707412,0.18854296,0.20119739,0.20676577,0.20551108,0.20427538,0.20872684,0.21890157,0.23135878,0.24476962,0.2611599,0.28181103,0.30298164,0.3174875,0.32011902,0.3121507,0.29974082,0.28976035,0.28501523,0.28357401,0.2809262,0.27363625,0.2619997,0.24844535,0.2358616,0.2252058,0.21806037,0.21673632,0.22432518,0.24053092,0.26141235,0.2805322,0.29278588,0.29538834,0.28774372,0.2707848,0.24721897,0.22133635,0.19758908,0.1786573,0.16505547,0.15583342,0.15044022,0.14932097,0.15453874,0.16807465,0.18954104,0.21335472,0.23027937,0.23213124,0.21753068,0.19205458,0.16419537,0.14050002,0.12556855,0.124741964,0.1435356,0.1825911,0.23168194,0.27325627,0.29174197,0.28470576,0.26203924,0.23875226,0.2231214,0.21503158,0.20900053,0.20295481,0.19879915,0.20097248,0.2102387,0.22289634,0.2308095,0.22616953,0.20627105,0.17656009,0.14812419,0.13095793,0.12988424,0.14390025,0.1679867,0.193393,0.20977019,0.21007733,0.19450516,0.16973186,0.143261,0.12090278,0.10664216,0.10530611,0.12000627,0.14959425,0.18571824,0.21647535,0.23115803,0.22497725,0.19985287,0.1627749,0.123488665,0.09121681,0.07337471,0.074845456,0.09796244,0.13931052,0.1878038,0.2278837,0.24894665,0.25096896,0.2413655,0.2258454,0.20511167,0.17914547,0.15372579,0.14006273,0.14682709,0.17213319,0.20222358,0.22101998,0.2198871,0.202132,0.17678499,0.15197258,0.13125473,0.11560184,0.10610028,0.105402045,0.11625454,0.13870037,0.16788034,0.1958393,0.2144376,0.21859951,0.20652808,0.18014763,0.14467095,0.10851141,0.08157099,0.072829545,0.0858816,0.11602222,0.15035951,0.17526029,0.18362908,0.17804272,0.16513395,0.14949255,0.13170137,0.11120311,0.08926216,0.068555616,0.051741507,0.039784182,0.03233473,0.028029947,0.025599254,0.024058213,0.022955967,0.02197721,0.020954354,0.019860342,0.018891638,0.01831724,0.018383564,0.019292034,0.021192325,0.023988284,0.027128732,0.029999869,0.033225928,0.040398452,0.05750109,0.089297354,0.13420898,0.18357979,0.22628982,0.25555614,0.2710717,0.27631354,0.27440873,0.26725268,0.25676945,0.24640281,0.24026667,0.24125983,0.24942265,0.26204804,0.27510032,0.28398374,0.2847941,0.27526677,0.25749463,0.23845313,0.22899388,0.23991589,0.2756634,0.3305296,0.3878655,0.43021348,0.44711494,0.4415456,0.42286173,0.4018533,0.3839736,0.3719722,0.3653389,0.36413714,0.36594883,0.3668556,0.36011255,0.34218106,0.3163943,0.29217744,0.27805912,0.27460822,0.27708688,0.2813842,0.29014382,0.30787632,0.33444977,0.3602364,0.37332276,0.3676032,0.34854808,0.32620776,0.30840078,0.29465917,0.28137645,0.2665491,0.25477874,0.25247073,0.2629507,0.28221872,0.3034959,0.3217123,0.33667004,0.3497748,0.3605555,0.36477223,0.35795346,0.34116277,0.32276273,0.313292,0.31587052,0.32452807,0.32975268,0.32912952,0.328041,0.33398584,0.3468685,0.35976592,0.36647418,0.37010726,0.3792353,0.39750823,0.4164196,0.4231526,0.41218892,0.39147842,0.37358618,0.36648378,0.36851022,0.37558317,0.385299,0.3992792,0.4159296,0.42998314,0.4334027,0.42404306,0.40590063,0.3869777,0.37132514,0.3585209,0.34561944,0.33291364,0.3234525,0.32052484,0.3231685,0.3274118,0.32935682,0.32870162,0.32675898,0.32377627,0.31744704,0.30743897,0.29867676,0.30062678,0.31916752,0.35123828,0.38580737,0.41245222,0.42648733,0.42938653,0.42482826,0.4168292,0.40831745,0.39999998,0.39028284,0.3771267,0.3610218,0.3452634,0.33414552,0.32996693,0.33134905,0.33414635,0.33404914,0.33043352,0.32691622,0.32939708,0.34059545,0.35717842,0.37034893,0.3719717,0.35992813,0.33969936,0.31958333,0.30513546,0.29662934,0.29125652,0.28651026,0.28162155,0.27675855,0.27168858,0.2656522,0.258272,0.2499771,0.24154425,0.23279528,0.22271931,0.21047257,0.19695018,0.18441711,0.1750517,0.16944309,0.16657566,0.16516961,0.16457464,0.16518824,0.1671864,0.1700809,0.17220372,0.17287183,0.17412211,0.18250267,0.20568924,0.24679212,0.2994829,0.35073933,0.38978434,0.41400668,0.4279429,0.43561813,0.43780982,0.43378994,0.42578092,0.41869912,0.41600767,0.4166275,0.4155147,0.4085897,0.39632097,0.38365054,0.37616548,0.37560594,0.37891147,0.3804971,0.37681675,0.36897984,0.3618591,0.35989487,0.36349955,0.3680782,0.36770502,0.35806337,0.33937827,0.3150175,0.29172146,0.2780144,0.28258955,0.3087441,0.35049894,0.39419565,0.4266467,0.44207096,0.4422187,0.43144587,0.41307926,0.39025238,0.36693266,0.34815073,0.3370987,0.33462647,0.33816636,0.34407935,0.34856,0.3494445,0.34593463,0.3381094,0.32772875,0.31764376,0.31249428,0.31404105,0.3204832,0.3242268,0.31864724,0.30143332,0.27842185,0.25808516,0.24676512,0.24449553,0.24771273,0.25326732,0.26216936,0.27802995,0.30333987,0.33513406,0.36597458,0.3877125,0.39706016,0.3965285,0.39268494,0.39053252,0.39097282,0.3901062,0.383703,0.3700062,0.3512244,0.33132935,0.3143779,0.30371115,0.30146477,0.30780372,0.3200098,0.33403525,0.3468792,0.3584555,0.37003088,0.3819435,0.3923817,0.3993714,0.40250263,0.40355077,0.40477097,0.40774074,0.4126809,0.4190812,0.42655763,0.43470678,0.441923,0.44399938,0.43650272,0.41778457,0.39187503,0.3654256,0.34558627,0.33633912,0.3391335,0.35165286,0.3697199,0.3881947,0.4023888,0.40820256,0.40364113,0.39217696,0.38252258,0.3824861,0.3896936,0.3926332,0.3813963,0.36098406,0.34732854,0.3542237,0.37921914,0.4090133,0.4300005,0.43874466,0.43813446,0.43216547,0.4221464,0.4095122,0.3982177,0.3926313,0.3936665,0.39614213,0.3934985,0.38249886,0.36627018,0.35074356,0.3413134,0.3404199,0.34795734,0.36166492,0.37749633,0.39053455,0.39629033,0.39307725,0.38236,0.3679938,0.35267183,0.33699706,0.32019734,0.30302906,0.28791535,0.27731833,0.27197632,0.27069405,0.27144244,0.271803,0.27010167,0.26579532,0.25997663,0.25380966,0.24762316,0.24047343,0.23177667,0.22236316,0.21477662,0.21148247,0.21302718,0.21734917,0.22138983,0.22355045,0.22382009,0.22289093,0.22058283,0.21881181,0.22326136,0.24309559,0.28359342,0.34024712,0.3988628,0.44377777,0.4669182,0.4700121,0.46048808,0.4451255,0.42779282,0.41084823,0.3975259,0.39117154,0.3919958,0.39534107,0.39531717,0.38965344,0.38181648,0.37652752,0.3759352,0.37733415,0.3765053,0.37065217,0.36186358,0.35549042,0.3566394,0.3650917,0.37605286,0.3835384,0.3847489,0.37871727,0.36472479,0.34301677,0.31904808,0.30513468,0.31314886,0.3460392,0.39209858,0.43319762,0.4551486,0.45628545,0.4461908,0.43745866,0.43944564,0.45163977,0.46758938,0.47755852,0.47697115,0.4667336,0.45224765,0.43860614,0.4284488,0.42209396,0.41891578,0.41837502,0.421103,0.4278586,0.43963718,0.45472097,0.46935788,0.4780506,0.47766373,0.469221,0.45689547,0.44478688,0.43316796,0.42008388,0.4035335,0.38556373,0.370813,0.36403918,0.36590397,0.37252307,0.37825048,0.37964034,0.37738135,0.3735224,0.36846682,0.36067805,0.35004243,0.34032664,0.3366934,0.34132275,0.35072374,0.35899672,0.36274529,0.36372626,0.36588904,0.37071666,0.37543285,0.37736717,0.37823483,0.38500056,0.4018582,0.42548314,0.4442707,0.44927254,0.44024393,0.42657748,0.41720304,0.41370487,0.4108448,0.40430453,0.39715508,0.3962128,0.40518904,0.41918778,0.42962113,0.42937383,0.41724023,0.3958973,0.37121597,0.35024002,0.33962464,0.34166634,0.35245553,0.3635215,0.36796713,0.36517724,0.36150154,0.36438242,0.37625766,0.3918719,0.40270698,0.40452003,0.40129638,0.40192875,0.41180956,0.42849055,0.4443344,0.45348993,0.454944,0.4516566,0.44672486,0.44220063,0.43722245,0.43006083,0.41944644,0.4082334,0.40034136,0.3977991,0.39749265,0.39619637,0.3940723,0.39523295,0.40169796,0.4104652,0.41630402,0.41738257,0.41696545,0.41831684,0.42033792,0.41796508,0.40798363,0.39246595,0.37705338,0.36639,0.36111608,0.35926798,0.3583704,0.35752323,0.35608006,0.35303822,0.34640846,0.33564496,0.3226191,0.31123137,0.30391756,0.29995123,0.29597056,0.28936246,0.279578,0.2680699,0.25612706,0.24487065,0.23507608,0.2278681,0.22370505,0.22164191,0.219442,0.21449591,0.20692144,0.20052135,0.20323879,0.22083712,0.25253144,0.28822204,0.31682017,0.3333422,0.34286693,0.35263482,0.36574912,0.3786031,0.38725817,0.39109862,0.39272538,0.39292195,0.38965893,0.38108775,0.37023905,0.3632863,0.36456183,0.3714863,0.37810707,0.37966308,0.37662908,0.3714795,0.3659848,0.35982123,0.35244584,0.34485987,0.3387026,0.3346087,0.32940385,0.3179917,0.29637742,0.26739162,0.24030238,0.22769721,0.23681755,0.2650964,0.29987583,0.32636166,0.33539173,0.32613745,0.30255497,0.26903942,0.23049235,0.19303085,0.16301312,0.14400919,0.13541676,0.13411838,0.13654703,0.14159906,0.15155919,0.17109102,0.20245224,0.24115007,0.2767338,0.29836366,0.30200917,0.29119667,0.27392963,0.25594857,0.23965947,0.22526287,0.21465363,0.21110678,0.2166534,0.22993429,0.24600369,0.25960264,0.26656055,0.26544797,0.2580385,0.24968463,0.24833417,0.25848487,0.27831566,0.29907385,0.3133376,0.3179758,0.31416273,0.30130705,0.27740082,0.24201947,0.2003128,0.16034408,0.12871587,0.10714308,0.09409669,0.08705094,0.08448538,0.085658036,0.09036138,0.098030455,0.107007205,0.11461701,0.11913874,0.12251704,0.13059342,0.1491218,0.17826563,0.21009175,0.23337783,0.24142134,0.23839258,0.23558109,0.24257918,0.2583656,0.27320877,0.2769936,0.26858914,0.25552446,0.24756049,0.24769853,0.251884,0.25305054,0.2478298,0.2369207,0.22378236,0.21326168,0.21069436,0.21986397,0.23878448,0.26013944,0.27462253,0.27667448,0.26692212,0.25148588,0.23877244,0.23424594,0.23778373,0.24432898,0.24887621,0.2497588,0.2482719,0.24549991,0.23982924,0.22956991,0.21631396,0.20724052,0.20875286,0.22112532,0.23603278,0.24404542,0.24007063,0.22598994,0.20700109,0.18918969,0.17784144,0.17726123,0.19074625,0.2186281,0.25721738,0.2974577,0.3295267,0.34607705,0.34587052,0.33154297,0.3085022,0.2825194,0.2589677,0.2412206,0.2301877,0.2243526,0.22044028,0.21445973,0.20327419,0.18592764,0.16421004,0.14179571,0.1229037,0.11010104,0.10302415,0.098418556,0.09272062,0.08457506,0.075468004,0.067842625,0.06285959,0.060042005,0.058165137,0.056645688,0.055483148,0.055018704,0.055257063,0.05612375,0.057579096,0.05987661,0.0632968,0.06804893,0.07387756,0.07990801,0.08435709,0.08635223,0.087932564,0.09541962,0.115513854,0.1501985,0.19358861,0.2355157,0.26745924,0.28677478,0.2960852,0.30015138,0.3022106,0.30264807,0.29971185,0.29296163,0.284843,0.28013864,0.2816051,0.28811058,0.29516688,0.2990431,0.29853106,0.29492554,0.29184735,0.2967888,0.3227594,0.37979308,0.46409884,0.5495369,0.60286576,0.6036598,0.5602979,0.4989655,0.44581327,0.41211942,0.39585724,0.38956714,0.38738322,0.3863205,0.38526607,0.38376093,0.38385835,0.38907352,0.402946,0.4238807,0.44590577,0.46130052,0.4656513,0.45752224,0.43603066,0.4003447,0.3524231,0.30026332,0.25494683,0.22598171,0.21682136,0.22574438,0.24737167,0.27505288,0.30233398,0.32472977,0.3398491,0.34726444,0.3478169,0.34425744,0.33984277,0.33702734,0.33583355,0.33500144,0.3337741,0.33268675,0.33255538,0.3324481,0.32983974,0.32287943,0.3136476,0.3085761,0.3139983,0.33017585,0.3475716,0.35406342,0.3463541,0.3403765,0.36145255,0.42305946,0.5074468,0.57322574,0.5850858,0.5388612,0.46360478,0.3958,0.3584346,0.35091984,0.36118603,0.37598786,0.38859025,0.39614168,0.39752737,0.393339,0.38651755,0.38139486,0.3796873,0.3808167,0.38267967,0.38496795,0.38667843,0.38687813,0.3835117,0.37682644,0.36778483,0.35772502,0.34709287,0.33695066,0.32970724,0.32719365,0.33158663,0.347645,0.3855046,0.4511262,0.5347858,0.6067915,0.6363032,0.6125905,0.5541827,0.49200532,0.44931626,0.43094513,0.4297732,0.43645158,0.44496217,0.45272365,0.45854008,0.4624414,0.4649327,0.4672006,0.46972743,0.47206688,0.4727116,0.47023156,0.46364343,0.45162377,0.4311751,0.39905667,0.35548985,0.30735075,0.26526335,0.23739286,0.22465777,0.22201937,0.22304875,0.22293095,0.2194758,0.21225739,0.20263518,0.19256426,0.18404983,0.17844695,0.17640786,0.17707372,0.1778822,0.17591329,0.17052835,0.16417062,0.16080195,0.16313681,0.17129742,0.18317597,0.19511354,0.20377803,0.20633914,0.20228244,0.19221236,0.18203945,0.18400078,0.21845321,0.29944757,0.420063,0.5433727,0.6232938,0.6344512,0.5902722,0.5287476,0.48307398,0.4639528,0.46267942,0.46648157,0.46811935,0.46657276,0.46300372,0.45750347,0.44958293,0.43934348,0.42852283,0.42012736,0.41613388,0.41675568,0.41950884,0.42253315,0.424636,0.42668927,0.428533,0.43045893,0.43192276,0.43364295,0.43539938,0.43721017,0.43872786,0.44235626,0.45372668,0.48065707,0.52521175,0.578175,0.61959076,0.6321586,0.6115671,0.5685598,0.5174337,0.46786273,0.42381963,0.3884749,0.36595204,0.35721394,0.3585193,0.36193538,0.3620273,0.35765627,0.35375896,0.35660264,0.36987805,0.39069024,0.4110874,0.4245057,0.42905626,0.4277055,0.42136386,0.4085109,0.38607466,0.35606372,0.32589543,0.3061264,0.30316988,0.31526935,0.33378783,0.34943226,0.3573549,0.35769638,0.35309172,0.3467609,0.34136817,0.33789408,0.3352022,0.330748,0.32327297,0.3131955,0.30277848,0.2944872,0.290645,0.29167825,0.29556575,0.29925525,0.30318692,0.31129646,0.3272035,0.34711945,0.3646593,0.37866423,0.40032876,0.44138876,0.49999443,0.5537681,0.5757977,0.554715,0.5038454,0.44884327,0.40922806,0.3895265,0.38418373,0.38691232,0.394065,0.4030082,0.40995136,0.41138816,0.40622798,0.3968086,0.38692084,0.3791236,0.37277684,0.3654083,0.35591087,0.34732082,0.34453058,0.35060415,0.3627166,0.3751562,0.38230252,0.38303617,0.37906834,0.3734955,0.3697408,0.37288904,0.39147186,0.43151498,0.49017406,0.54916763,0.5861453,0.5875141,0.5606331,0.5241855,0.4957861,0.48065206,0.47530237,0.47419634,0.47448218,0.4758158,0.47739014,0.47858536,0.47880518,0.48018512,0.48477682,0.49326268,0.50122017,0.5028679,0.49473134,0.48024762,0.4655122,0.45470968,0.4463512,0.4373305,0.42635128,0.41523305,0.4060501,0.39946672,0.3955995,0.3948197,0.3967111,0.39758322,0.3909146,0.37177166,0.34189686,0.3108822,0.29097605,0.28925437,0.3033963,0.3236532,0.34037146,0.34861228,0.34945378,0.3458475,0.3405594,0.33514202,0.3307618,0.328365,0.32689822,0.32375658,0.31444535,0.29804415,0.28045508,0.27867565,0.31222913,0.38914132,0.48995176,0.5745773,0.6050937,0.5744447,0.50685805,0.43981028,0.39670268,0.38141128,0.38425782,0.3947355,0.40448666,0.4073856,0.39964733,0.38167283,0.35804144,0.33333215,0.3098711,0.28805256,0.26958385,0.25693166,0.25173244,0.25287747,0.25761828,0.2627479,0.2657483,0.26550826,0.26281342,0.25986412,0.2587994,0.26010343,0.2643864,0.27541736,0.30375007,0.35850048,0.4371375,0.51557,0.5640579,0.5651081,0.53027046,0.4843603,0.45018384,0.4329977,0.42911962,0.43179178,0.43828592,0.44682583,0.45545092,0.4613638,0.46346417,0.46315888,0.4636083,0.46556786,0.46750548,0.4665904,0.46283507,0.45860782,0.45613012,0.45571294,0.45535305,0.454543,0.4540948,0.45679727,0.4639262,0.4748827,0.48589647,0.4915068,0.4855666,0.46424484,0.42790666,0.38236335,0.3368602,0.3010203,0.28208944,0.28265473,0.30000708,0.3256382,0.34985185,0.36584213,0.37314853,0.373927,0.37007734,0.36174372,0.35093772,0.34233513,0.34137225,0.3486327,0.3580174,0.36171064,0.3595322,0.365155,0.39677164,0.46019754,0.5352383,0.58585167,0.5857447,0.53819114,0.4728364,0.41965604,0.3913349,0.38082573,0.3788171,0.38195407,0.3919764,0.40618694,0.417269,0.41921735,0.41397783,0.40944815,0.41313413,0.42543793,0.43962356,0.44651604,0.44175956,0.42832944,0.41339913,0.4026562,0.3972278,0.39543667,0.39541307,0.39795384,0.40514266,0.4189599,0.43906128,0.46487212,0.49722016,0.53586656,0.5746321,0.59930134,0.597846,0.56992406,0.5312442,0.5010239,0.4909872,0.4987065,0.51496416,0.5311944,0.5447375,0.55647564,0.567363,0.5766731,0.5835101,0.5885957,0.59365994,0.59936905,0.6040523,0.6050216,0.60064584,0.59210896,0.5828896,0.5768542,0.5754573,0.5771508,0.57946867,0.58117396,0.58221513,0.5814319,0.57685834,0.56674296,0.5508545,0.52796644,0.49677777,0.45752153,0.4163885,0.3818892,0.36085376,0.35247126,0.35104334,0.34890893,0.34206855,0.33073828,0.3197432,0.3147101,0.31887296,0.3298101,0.34120154,0.3471807,0.34611508,0.34037566,0.3324416,0.32536313,0.3247593,0.34249973,0.38810933,0.45898294,0.5334028,0.5825482,0.5891126,0.55932254,0.5181543,0.4902644,0.48673734,0.50045294,0.51754045,0.52752084,0.52956396,0.5280402,0.5260462,0.5229206,0.51633734,0.5067956,0.49778304,0.49354598,0.49571955,0.5027917,0.51215976,0.5212841,0.5286005,0.5325673,0.53342235,0.5325954,0.53292763,0.5349973,0.53763556,0.537885,0.53644973,0.53841597,0.5520595,0.57937425,0.61067075,0.62666655,0.6127357,0.56986,0.5152531,0.46855548,0.44049218,0.42881128,0.42558098,0.42399183,0.42160973,0.41889992,0.41629425,0.41381228,0.41108057,0.40843105,0.4064481,0.40580115,0.4075059,0.4130194,0.42357394,0.4387848,0.45576438,0.46991512,0.47691324,0.4749947,0.46649548,0.45643863,0.44984248,0.44810054,0.44867036,0.44677937,0.43759313,0.41776857,0.38598576,0.34538352,0.30354333,0.271041,0.25532457,0.25716355,0.2694043,0.28244445,0.28958532,0.29120514,0.29217914,0.29706028,0.30577135,0.31515872,0.32352364,0.33403072,0.35047916,0.37156942,0.38791883,0.39237952,0.38915515,0.39688864,0.4312189,0.48930994,0.5448041,0.5679845,0.54699296,0.4966019,0.44407582,0.40994027,0.39810395,0.4010978,0.40980944,0.41953924,0.42712483,0.4302465,0.4261851,0.41725454,0.4074568,0.4020172,0.40191278,0.406804,0.41482422,0.42431054,0.43315172,0.43852365,0.43831268,0.4310114,0.41871616,0.40586242,0.39855036,0.39959338,0.4081587,0.4206694,0.43612018,0.4579681,0.49272642,0.54069203,0.59071183,0.6216621,0.6191823,0.58491945,0.5386749,0.5006932,0.48350087,0.48532662,0.49956155,0.5170042,0.5321241,0.5418996,0.5476072,0.55225915,0.55837697,0.5661006,0.573104,0.5777611,0.57980496,0.58018297,0.57768655,0.57037264,0.5582493,0.5466122,0.5421035,0.5479636,0.56078887,0.5745546,0.58456546,0.5895528,0.58915025,0.58111614,0.560581,0.5241055,0.47483024,0.42427525,0.38559595,0.36569235,0.36159492,0.36540833,0.36962748,0.36954227,0.36263824,0.348627,0.33005548,0.31154308,0.2978458,0.29194823,0.2939465,0.30035838,0.30520144,0.30276155,0.2931874,0.28479028,0.29420245,0.3361869,0.4131131,0.504595,0.577532,0.6046286,0.5850467,0.54044795,0.49817088,0.47152996,0.4587359,0.45181742,0.44680884,0.44437662,0.44558707,0.4489006,0.45128787,0.45044807,0.445932,0.43831518,0.42970634,0.42224327,0.4184977,0.4191153,0.42444968,0.4329503,0.4425294,0.4495374,0.45189083,0.45017734,0.44816843,0.4495151,0.45515588,0.46155444,0.46159735,0.4461025,0.40898195,0.35145652,0.28457025,0.22274323,0.17671764,0.14804842,0.13254865,0.12459245,0.12082685,0.11949945,0.11956402,0.12003452,0.120208584,0.119940795,0.11948437,0.11929432,0.11956126,0.120247275,0.12123311,0.12259629,0.124474026,0.12679292,0.12923586,0.13151802,0.13366753,0.1359148,0.13831902,0.14061172,0.1423939,0.14356111,0.14438581,0.14530541,0.14654243,0.14801167,0.14938574,0.15035588,0.15069681,0.15040441,0.14956929,0.14841323,0.14708425,0.14562394,0.14384945,0.14152582,0.13851614,0.13495639,0.13113941,0.12743591,0.12401602,0.12080272,0.11730095,0.11289728,0.107177585,0.100362174,0.093243,0.086689584,0.08117188,0.076665066,0.073187895,0.07100728,0.07036535,0.07085442,0.07157018,0.07185685,0.07181411,0.07183403,0.07186087,0.07206854,0.07424607,0.082968876,0.10266405,0.13398172,0.17060775,0.20297034,0.22346735,0.23107679,0.22963618,0.22389044,0.21653874,0.20838474,0.20027535,0.19372599,0.1903482,0.19031872,0.19200848,0.19265987,0.19027437,0.18494366,0.180611,0.1852537,0.21145026,0.2709029,0.36626673,0.48098683,0.58235615,0.6370013,0.63134855,0.5785303,0.5067211,0.44142738,0.3938844,0.36461356,0.35020363,0.34861526,0.35709122,0.3699719,0.38126647,0.38771042,0.39181438,0.39629385,0.40184578,0.40528214,0.4042312,0.39980838,0.39447024,0.38878885,0.3766906,0.35173163,0.31139925,0.26386994,0.22134788,0.19394076,0.1822734,0.18007551,0.17922318,0.17518324,0.16779101,0.1587375,0.14961635,0.1416297,0.1372521,0.13918363,0.1484151,0.161303,0.17148316,0.1732946,0.16646238,0.15585458,0.1480025,0.14604087,0.14883272,0.15457018,0.16525789,0.18508889,0.21397366,0.24272257,0.26089153,0.27032998,0.29259178,0.35196018,0.45116338,0.55688566,0.6215283,0.6148975,0.54754514,0.4567902,0.38105968,0.33662227,0.32084265,0.32369062,0.33983734,0.36591372,0.3960234,0.4206202,0.43348613,0.4367864,0.4377501,0.4410924,0.44405493,0.44046175,0.42621875,0.40271604,0.3738657,0.34390044,0.3153235,0.29000232,0.26789454,0.24802245,0.228441,0.20907514,0.19314285,0.18946005,0.21280591,0.2768756,0.38284072,0.5081313,0.61498874,0.6700155,0.6652031,0.6179728,0.55696195,0.505419,0.47357938,0.46102557,0.46092367,0.4657012,0.46969858,0.47099182,0.47033176,0.4691012,0.46786198,0.46591118,0.46291128,0.45950964,0.45695224,0.45442805,0.44756046,0.42976043,0.39620587,0.34790537,0.29191092,0.23859377,0.19640596,0.168817,0.15340883,0.14480852,0.13810994,0.13158375,0.1261919,0.12319755,0.122595154,0.12327197,0.12515487,0.12759776,0.1289553,0.12503004,0.114863865,0.101485245,0.09245206,0.09252369,0.10180479,0.1152142,0.12747979,0.13615601,0.14221585,0.14711624,0.15004541,0.1494916,0.14960678,0.16475119,0.21532814,0.31119284,0.436926,0.5524976,0.6167647,0.6137126,0.56069785,0.4917622,0.43393692,0.39591667,0.37428072,0.36432338,0.3653507,0.37637517,0.39282286,0.40768877,0.416738,0.4213382,0.42521557,0.4312228,0.43784544,0.44225624,0.441707,0.43743563,0.4322901,0.42958823,0.42966136,0.43164816,0.43466473,0.43911734,0.4449387,0.45081103,0.45635378,0.46499184,0.48565888,0.52563167,0.5833201,0.6408875,0.6742409,0.6654377,0.6173467,0.5481569,0.48118404,0.43114915,0.40309563,0.39417312,0.39872375,0.4096613,0.42116126,0.42872462,0.43046892,0.425706,0.41556707,0.4026296,0.39056554,0.38335225,0.38276926,0.388212,0.39414486,0.3922222,0.37321863,0.33445802,0.28230858,0.23071124,0.19222747,0.1713783,0.16354255,0.16032119,0.15596287,0.14936288,0.1425733,0.13693136,0.13286038,0.13054502,0.13268368,0.14114402,0.15531655,0.16817291,0.17283136,0.1653348,0.1503728,0.13523051,0.12660362,0.12557398,0.13134347,0.14510165,0.17083037,0.20964181,0.25210103,0.28306296,0.29439017,0.30029848,0.32849434,0.3988646,0.49843216,0.5875276,0.6249947,0.5989031,0.5300983,0.453235,0.39269134,0.35439625,0.3348849,0.33179203,0.34519076,0.37238598,0.4037812,0.42875907,0.4404554,0.44049397,0.43350065,0.4241655,0.41345477,0.40067637,0.3849356,0.36610293,0.34498057,0.32247424,0.3002623,0.27942517,0.26018003,0.24105008,0.21996023,0.19583108,0.17266189,0.16416156,0.19338453,0.27803016,0.41155818,0.55436736,0.6550453,0.68054134,0.63671786,0.5571032,0.47964266,0.42682442,0.40307143,0.40139493,0.41169396,0.4256599,0.4383225,0.44815207,0.4558108,0.46303686,0.47079325,0.4792348,0.48783278,0.49590516,0.5012602,0.49869093,0.48132372,0.444836,0.3921833,0.33297426,0.27843532,0.23567237,0.20603724,0.18719155,0.17570315,0.16828084,0.16222021,0.15542455,0.1470428,0.13736798,0.1285927,0.12384731,0.12584239,0.13317567,0.14037575,0.1402315,0.13075814,0.11633127,0.10568154,0.103909224,0.11011067,0.118291795,0.12354985,0.12525116,0.12614161,0.12820838,0.12970385,0.13007416,0.13642035,0.16904815,0.24678259,0.37046692,0.5062067,0.60684943,0.63730496,0.60355383,0.537884,0.47944126,0.44711947,0.44191435,0.4517938,0.46578065,0.47639418,0.4828051,0.4866768,0.49116683,0.49725497,0.504535,0.51081824,0.5149848,0.5158979,0.5116753,0.49612305,0.46148694,0.4033955,0.32857448,0.2546008,0.20328891,0.18921407,0.21228532,0.2576788,0.30391398,0.33570218,0.35488665,0.3798784,0.43024287,0.5062234,0.58280444,0.6268434,0.6215119,0.5775752,0.52091366,0.47405168,0.44411132,0.42705026,0.41570064,0.40723085,0.40127525,0.39815736,0.3959411,0.3943067,0.39439216,0.39873776,0.4067732,0.41508976,0.419686,0.41956356,0.415974,0.40933082,0.39616454,0.37212554,0.3362044,0.29454228,0.25641027,0.22896183,0.21278518,0.20411484,0.19888197,0.19588111,0.19597153,0.1996847,0.20611453,0.21387388,0.22290744,0.23396736,0.24686675,0.2588053,0.26580587,0.26543733,0.25857183,0.24831533,0.2372659,0.22627224,0.21623172,0.21143991,0.22071181,0.25105974,0.3000693,0.3522875,0.39146078,0.41400066,0.43562207,0.4751719,0.5365439,0.5993822,0.63413566,0.62247264,0.5701353,0.5006028,0.4393709,0.40169382,0.38920602,0.3948641,0.4080701,0.41970524,0.42407358,0.420217,0.4111564,0.40225303,0.3990372,0.40459713,0.41888723,0.43728375,0.4526788,0.45636043,0.44473794,0.42027667,0.39278337,0.36956176,0.35245606,0.33456525,0.308925,0.27168962,0.22865565,0.19382703,0.19012381,0.23630054,0.3347565,0.45900282,0.56782645,0.62611455,0.6275229,0.590348,0.54325455,0.50674707,0.4878569,0.4832213,0.48654604,0.49411473,0.5048315,0.5179787,0.5308966,0.5406025,0.54595906,0.5486915,0.55142164,0.5552366,0.5582741,0.5562821,0.5444725,0.51984435,0.48252293,0.43578878,0.38497093,0.33648714,0.29655322,0.26957104,0.25653508,0.25502512,0.26076558,0.26950145,0.27810833,0.28520444,0.2916825,0.3001292,0.31326213,0.33092144,0.35031798,0.3666269,0.37653324,0.37693176,0.36582187,0.34162143,0.30703363,0.26908356,0.23720546,0.2182114,0.21347183,0.21918066,0.22864962,0.23676322,0.24477293,0.26370302,0.30923793,0.38890496,0.48965445,0.5804923,0.63112944,0.6326329,0.600843,0.5618084,0.53226954,0.51464313,0.5028029,0.49357915,0.48757377,0.48754454,0.4927865,0.5006804,0.50769144,0.5123827,0.5144046,0.51405257,0.51124763,0.5066806,0.5021786,0.5002839,0.5021574,0.5067913,0.51170903,0.5156004,0.5187189,0.52239436,0.52662516,0.5303736,0.5314984,0.5276136,0.5156521,0.49340752,0.46180788,0.42617503,0.39413443,0.37098303,0.35752353,0.35069904,0.34760356,0.34642527,0.34622014,0.34508315,0.3414812,0.33592603,0.33104905,0.32915208,0.3301705,0.33206788,0.3329688,0.33194134,0.32957646,0.32688656,0.32567677,0.32693562,0.330963,0.3362824,0.3409251,0.3428357,0.3414031,0.3371427,0.33144733,0.32534537,0.3197732,0.31511083,0.31182274,0.3094494,0.30718085,0.30340314,0.29716337,0.28894058,0.28091946,0.2755964,0.2732067,0.27194825,0.26894104,0.26346493,0.25652033,0.25024557,0.24553896,0.242101,0.23905794,0.23548512,0.2304507,0.22232771,0.21035147,0.19578661,0.18247782,0.17434736,0.1728155,0.17639466,0.18212996,0.18772416,0.1913874,0.19161005,0.18727691,0.17905897,0.17008732,0.16381484,0.1615348,0.16146718,0.16133547,0.16057065,0.15974127,0.15876634,0.15647309,0.15260863,0.14886855,0.14775763,0.15052475,0.15667985,0.16533989,0.17653859,0.19038832,0.20576674,0.21956597,0.22887556,0.23245661,0.23132087,0.22687261,0.2198031,0.20995808,0.1974089,0.18429299,0.17440115,0.17177145,0.17648117,0.18495037,0.19137923,0.19251506,0.18808441,0.1806895,0.17335491,0.16833733,0.16595125,0.16482127,0.16327739,0.16073732,0.15807723,0.15651911,0.15653618,0.15759028,0.1590844,0.16132058,0.16568744,0.1735785,0.18534486,0.19956082,0.21365406,0.22463293,0.23052283,0.23081054,0.22665225,0.21980514,0.21191536,0.20384286,0.19588824,0.18810062,0.18078373,0.17463757,0.17051585,0.16892971,0.1696229,0.17172866,0.17428745,0.17685588,0.17945129,0.18213587,0.18439496,0.1856118,0.18532081,0.1840086,0.1818819,0.17902577,0.17465937,0.16899963,0.16292226,0.1581553,0.15550818,0.15483318,0.1553152,0.1562386,0.15737104,0.1585452,0.15992357,0.16121171,0.16153394,0.15849304,0.14956482,0.13388759,0.11467894,0.09875652,0.0938616,0.10432047,0.12854736,0.15887372,0.18515162,0.1991769,0.19966759,0.19218276,0.18560308,0.18534775,0.19134034,0.19969158,0.20736301,0.21348886,0.21841542,0.22178401,0.22205321,0.21868497,0.21278863,0.20785193,0.20674114,0.2139184,0.23708828,0.28784898,0.37081742,0.4722407,0.5591629,0.59792507,0.5768542,0.5137851,0.44232067,0.3888029,0.36170006,0.35413566,0.35755047,0.36652526,0.38048324,0.397822,0.41618,0.4326154,0.445719,0.45540866,0.461109,0.4622343,0.4582702,0.45091757,0.4413047,0.4287628,0.41012573,0.38580084,0.3618321,0.34764084,0.34655026,0.3520436,0.35138735,0.33561757,0.30620167,0.27420738,0.2532389,0.25042334,0.262458,0.27814415,0.28762445,0.28732464,0.27990744,0.26715323,0.24923801,0.22688746,0.2062279,0.19550465,0.19984597,0.21626286,0.23740403,0.25640222,0.2740594,0.2950376,0.32361522,0.3534157,0.37393796,0.3799102,0.38583174,0.41476104,0.47875652,0.55793005,0.61359316,0.6138918,0.56029505,0.48032835,0.40916625,0.36738953,0.35892808,0.37484565,0.40062678,0.42116323,0.42429698,0.40634492,0.37162876,0.3315225,0.29721272,0.27594638,0.26842633,0.27117994,0.27876005,0.28546825,0.28652942,0.28037652,0.2694108,0.2588135,0.25234175,0.25090888,0.25220302,0.2534727,0.2538885,0.25868464,0.28080344,0.33426812,0.42074576,0.51852256,0.5923528,0.61578107,0.5909064,0.5420584,0.49699235,0.46956417,0.45998323,0.46146342,0.46733645,0.47323772,0.47763348,0.48123384,0.48524627,0.49040213,0.49611905,0.501266,0.5046479,0.50615734,0.50621146,0.5040738,0.4960282,0.47675443,0.4438537,0.40106907,0.35778245,0.32291117,0.30154172,0.29230317,0.2913318,0.29298759,0.2943243,0.29462835,0.29707626,0.30476382,0.318521,0.3347031,0.34737715,0.35151696,0.3454795,0.33099216,0.31155893,0.29039124,0.26985255,0.25093013,0.23405977,0.21882494,0.20481001,0.1918437,0.18049352,0.17151833,0.16476835,0.16014807,0.16110599,0.17975022,0.23395014,0.3338317,0.46387348,0.5824843,0.644515,0.6323517,0.5648515,0.4803401,0.40975273,0.36605406,0.34821418,0.35154048,0.36968958,0.39491978,0.41717997,0.4293982,0.43045604,0.4253131,0.41964003,0.41533065,0.41088045,0.40446964,0.39741638,0.39278135,0.39282572,0.39641657,0.40035406,0.40230927,0.40335098,0.40660962,0.41441146,0.4256024,0.4368769,0.44427714,0.44426882,0.43328193,0.40913832,0.37408018,0.3352666,0.30162832,0.27869472,0.26704285,0.26397422,0.26585928,0.2691017,0.27053759,0.26879182,0.26518905,0.26234284,0.2616658,0.26169658,0.26084265,0.2600253,0.2635906,0.2751393,0.29395002,0.3149214,0.33182704,0.34138772,0.34278524,0.33688143,0.32348183,0.3029812,0.27698645,0.24957101,0.22563924,0.20915385,0.20288475,0.20777495,0.2232331,0.24512386,0.26685992,0.28062972,0.28072658,0.26507553,0.23643173,0.20136905,0.16755658,0.14116685,0.12665983,0.12869489,0.1497171,0.18556415,0.22205798,0.24279086,0.23939522,0.2185902,0.19572528,0.18324931,0.18191987,0.18294668,0.17735898,0.16417421,0.14984985,0.14165641,0.14133818,0.14581709,0.15060043,0.15235421,0.14842878,0.13702184,0.11955517,0.10201884,0.093512855,0.10139134,0.1266693,0.16197364,0.1938225,0.20932132,0.20293581,0.17913969,0.14837018,0.120518856,0.1010733,0.091735594,0.09360505,0.10746023,0.1319805,0.16081114,0.1849807,0.1970423,0.1950771,0.18108349,0.15869327,0.13251461,0.11023814,0.10239035,0.11683903,0.15259992,0.19813736,0.23947911,0.26827773,0.28509453,0.2925036,0.28957298,0.27237996,0.24093813,0.20438395,0.17735356,0.17151125,0.18691935,0.21301389,0.23581643,0.24685997,0.24512582,0.23377104,0.2158675,0.19397223,0.1715823,0.1546558,0.15041019,0.16400205,0.19372164,0.22973609,0.25901422,0.27402294,0.27683458,0.27479756,0.27214244,0.26675773,0.2547327,0.2382981,0.22629718,0.22800297,0.24335225,0.26407602,0.279479,0.28538373,0.28313398,0.27689123,0.26959977,0.26331636,0.2593616,0.25819686,0.25891733,0.25967398,0.25850204,0.25468934,0.2485733,0.24199301,0.23643261,0.23312871,0.23170501,0.23157644,0.23186995,0.23255174,0.23400587,0.23647292,0.23922001,0.24038969,0.2389675,0.23572177,0.2332464,0.23308055,0.235035,0.23755161,0.24016231,0.24338372,0.24787445,0.25299904,0.25738454,0.26006472,0.26110205,0.26137564,0.26158288,0.26193115,0.26174793,0.2601688,0.25681135,0.25243598,0.24844229,0.24562222,0.24373491,0.24210012,0.2409572,0.2412339,0.24365635,0.2476831,0.25206187,0.25548345,0.25705,0.2563834,0.2537669,0.25039276,0.24729602,0.24490017,0.24273695,0.24064654,0.23903543,0.238451,0.23919173,0.24107106,0.24418141,0.24803399,0.25178257,0.25384533,0.25379094,0.25230715,0.2511452,0.2512621,0.25286153,0.2555281,0.2588984,0.26246503,0.26573145,0.26868424,0.2717665,0.27527896,0.2787603,0.28147784,0.28305778,0.283816,0.2842324,0.284909,0.2862301,0.28845695,0.291212,0.29390228,0.29574534,0.2959858,0.29355243,0.2877301,0.27915743,0.27019605,0.26346505,0.2599267,0.25853994,0.25758913,0.25621104,0.25423732,0.2518874,0.24920267,0.24685585,0.24549033,0.24519819,0.2438562,0.23734339,0.22158487,0.19615996,0.16642916,0.14103152,0.12654899,0.12320731,0.12545316,0.12748885,0.12799317,0.1327939,0.14786993,0.1748261,0.20578496,0.23314714,0.2525519,0.26614413,0.2733439,0.2717459,0.25969645,0.24194331,0.22619958,0.21755248,0.21569134,0.21722548,0.21916746,0.22022377,0.22103208,0.22273111,0.22598483,0.2292264,0.23170476,0.23852189,0.2639474,0.3241767,0.42072073,0.5307925,0.61493134,0.64347786,0.6145387,0.5533647,0.49129763,0.4485592,0.42932937,0.42827928,0.43818536,0.45208064,0.46462527,0.47160256,0.47247112,0.46922848,0.46575162,0.46471536,0.46697167,0.47207153,0.47913513,0.48749867,0.49449077,0.49714008,0.49308693,0.4851613,0.4776169,0.47426102,0.4738027,0.47381052,0.47206175,0.46863854,0.4638087,0.4563991,0.44431087,0.42506742,0.3997945,0.37253013,0.3504579,0.3377725,0.3349892,0.33721396,0.3405508,0.34280166,0.3468914,0.35474563,0.36703312,0.37841383,0.3836516,0.3800867,0.37446463,0.37686563,0.3939724,0.42037818,0.4455208,0.46505198,0.48881236,0.53018,0.5882096,0.6400034,0.65595126,0.6232887,0.55720156,0.4862562,0.4320147,0.396958,0.37433693,0.35925648,0.3541017,0.3608773,0.37530926,0.3886648,0.3943723,0.39248168,0.38660765,0.38044083,0.37474465,0.3690013,0.36304972,0.36002648,0.36356536,0.37473452,0.3884677,0.3987126,0.40239584,0.402228,0.40196422,0.40422773,0.41028157,0.4236646,0.4512452,0.49829558,0.56091326,0.6218357,0.6588664,0.65859485,0.6254608,0.5778029,0.5354033,0.50989884,0.5014085,0.502892,0.5057129,0.5045061,0.49892756,0.49186018,0.48740685,0.4876498,0.49275413,0.50041693,0.5084166,0.5144634,0.5174403,0.51580477,0.50932723,0.49957156,0.49140242,0.49006388,0.4980645,0.51313853,0.5298042,0.54324836,0.5511868,0.554028,0.5512603,0.540148,0.5170148,0.48206735,0.44196352,0.40651727,0.38362184,0.37464118,0.376117,0.3812314,0.38402712,0.38066867,0.37220514,0.36239466,0.35548496,0.35223052,0.35091662,0.34958223,0.3489068,0.35108972,0.3568577,0.36501822,0.3760121,0.39732966,0.44012728,0.5078433,0.58429044,0.6389448,0.64729613,0.6107634,0.5548965,0.509965,0.4909003,0.49426904,0.50770265,0.52143663,0.5323784,0.54237247,0.5542664,0.5690799,0.585247,0.59951806,0.60848635,0.6101691,0.60454553,0.5936711,0.58063203,0.5686843,0.5601531,0.55601287,0.5557373,0.5578008,0.5607173,0.56408685,0.56866556,0.5751674,0.5839143,0.5960706,0.6154103,0.6444912,0.678427,0.70138997,0.6956747,0.65575093,0.5952036,0.53796047,0.5016007,0.48826432,0.48924327,0.4952562,0.5035669,0.5146217,0.5287252,0.5428297,0.55380654,0.56028205,0.56253296,0.5617454,0.5578796,0.5514857,0.5426069,0.5318196,0.51999193,0.50938296,0.50429726,0.5080354,0.52107835,0.53958106,0.5583667,0.57337946,0.5824462,0.5850218,0.5795953,0.5632686,0.53210187,0.48582503,0.43164992,0.38216043,0.34851226,0.33228424,0.32730556,0.32526016,0.3236982,0.32435557,0.32973352,0.33788195,0.34486112,0.34724295,0.3462383,0.3469936,0.35621074,0.37772036,0.40814885,0.44010186,0.4669105,0.49201354,0.5232442,0.5652371,0.6067004,0.6278657,0.61358243,0.56765234,0.50861126,0.45575747,0.4183747,0.3956336,0.3855014,0.38678464,0.39856076,0.41503584,0.42964724,0.43782446,0.440351,0.43894753,0.43428233,0.42577294,0.41477773,0.4048798,0.3995907,0.3993474,0.40129197,0.401294,0.39754525,0.3917422,0.38802043,0.3887628,0.3931949,0.39917377,0.4081483,0.42769623,0.4676837,0.5310979,0.60535765,0.66512376,0.6864507,0.6623722,0.6059949,0.5402236,0.48450825,0.44851664,0.43261695,0.43191704,0.43933198,0.449432,0.46023092,0.47305468,0.489223,0.50705093,0.5223107,0.53130215,0.53384906,0.53232914,0.52890885,0.5234192,0.51488304,0.5038845,0.4936339,0.4876053,0.4873524,0.4915761,0.4977385,0.5034728,0.50711113,0.50658005,0.49733016,0.47353968,0.43265918,0.38141575,0.33357084,0.30106393,0.28512767,0.278017,0.2719028,0.26567626,0.26309285,0.26657915,0.27378026,0.2796133,0.27989244,0.27393436,0.2641228,0.25473863,0.24918544,0.24869029,0.2516934,0.25823995,0.27422878,0.3139845,0.38805103,0.48951158,0.5850145,0.63688225,0.6265771,0.5719631,0.5062881,0.45834026,0.43544164,0.43316385,0.4422624,0.45682392,0.47260824,0.48718944,0.49897385,0.5076576,0.5142014,0.5195103,0.52361745,0.52513033,0.5235163,0.51982135,0.5168063,0.5161955,0.5177674,0.51993555,0.5216563,0.5235829,0.5264845,0.5304554,0.53355217,0.5345421,0.53475827,0.5412788,0.562465,0.6005117,0.6426595,0.66539377,0.6491396,0.5944925,0.5236427,0.46522295,0.4365016,0.43616292,0.45202553,0.47190198,0.4894004,0.5028971,0.5120647,0.51751155,0.5200781,0.5218377,0.5239031,0.5263607,0.52799773,0.52684706,0.52155226,0.5105278,0.49536654,0.4789512,0.46649516,0.4594083,0.45642814,0.45377246,0.45023572,0.44700924,0.44591486,0.44595733,0.44186887,0.42669567,0.39649305,0.35517082,0.3128712,0.28063336,0.26325324,0.25878403,0.2609695,0.26545295,0.27168536,0.28291205,0.30075777,0.3224126,0.34052253,0.34994707,0.3516477,0.35373113,0.3629131,0.3799393,0.39690652,0.40837154,0.41801116,0.441686,0.49101388,0.5605037,0.6220153,0.6449886,0.6156967,0.5486435,0.4720582,0.41012144,0.37113082,0.3512648,0.3448131,0.34763578,0.3575509,0.36928508,0.3785962,0.3833123,0.38652703,0.3913729,0.3995289,0.4093444,0.41878426,0.426402,0.43226954,0.4373034,0.44229797,0.44717073,0.4505469,0.4505658,0.44617417,0.43802416,0.42867327,0.42265674,0.42692104,0.4506408,0.4991145,0.5664914,0.6314954,0.66856116,0.6636376,0.62445706,0.572982,0.5297772,0.5038841,0.49302545,0.4908156,0.49179685,0.49384287,0.49781355,0.5055034,0.5181203,0.53414345,0.5506795,0.5642925,0.5736356,0.5783887,0.57797825,0.5694888,0.5503835,0.5228271,0.49581528,0.48045918,0.48204124,0.49698338,0.5161819,0.532161,0.54140764,0.54292864,0.53404415,0.509944,0.46774164,0.4123381,0.35780454,0.3200386,0.30671656,0.31202236,0.3215823,0.32273102,0.31236872,0.29741207,0.28736076,0.2864096,0.2909763,0.2950574,0.2969086,0.29937157,0.30535936,0.31291464,0.31732216,0.31614468,0.31511936,0.32838568,0.37182486,0.44988218,0.54540443,0.62385345,0.65358394,0.6270008,0.56559354,0.50355047,0.46643558,0.45904768,0.47063828,0.48611915,0.49656752,0.5010994,0.50447035,0.5111957,0.5223023,0.5349994,0.5456047,0.5521047,0.55438477,0.55403167,0.5531063,0.55454254,0.5597394,0.5683065,0.57689637,0.5825811,0.5841124,0.58355254,0.58363265,0.58685595,0.5943416,0.6081395,0.63059616,0.66266394,0.6972293,0.71861386,0.7079642,0.65870184,0.58336586,0.5092315,0.45925212,0.44026652,0.44262585,0.45306554,0.4634974,0.47294852,0.4819772,0.48968387,0.4935547,0.49282268,0.48912895,0.4858322,0.4847792,0.48555884,0.48528716,0.48087636,0.47099578,0.45793363,0.4473456,0.44470167,0.45175028,0.46464065,0.47678843,0.4830942,0.48253965,0.477455,0.469314,0.45678827,0.43668437,0.40907836,0.37885427,0.35357687,0.33807704,0.33297458,0.3354245,0.34200022,0.34974346,0.3574542,0.36497554,0.3717041,0.3750163,0.3722475,0.36432478,0.357831,0.36004546,0.37243882,0.38679576,0.39331535,0.3914462,0.39663196,0.42866418,0.49356472,0.5704128,0.6234191,0.62490684,0.576961,0.50575113,0.44395792,0.40796232,0.39637136,0.39648637,0.3983439,0.39682075,0.3914632,0.38226238,0.37048125,0.3581916,0.34803367,0.3417115,0.33988643,0.34275028,0.3492541,0.35722318,0.36344114,0.36620668,0.3657219,0.36406502,0.363681,0.36569965,0.36903235,0.37027237,0.36779904,0.36555597,0.3748484,0.40855908,0.4706563,0.5482643,0.6144641,0.6441586,0.6292233,0.5825313,0.5266761,0.4807658,0.45310187,0.44264778,0.44344604,0.44942415,0.45669594,0.46399128,0.470693,0.47633114,0.48046365,0.48383224,0.48752987,0.49205673,0.4963299,0.49802375,0.49480346,0.48589417,0.4731953,0.4607744,0.45256448,0.45038912,0.45328203,0.4590529,0.4655222,0.47092858,0.47309598,0.46823815,0.45298967,0.42701292,0.396783,0.3715314,0.35838297,0.3565947,0.36102915,0.3661959,0.37019464,0.37270412,0.3738028,0.37292337,0.3704262,0.36717975,0.36534655,0.3665143,0.37156513,0.37778923,0.3815407,0.3797499,0.37666008,0.3821698,0.41064593,0.46753505,0.54377884,0.61207175,0.6449174,0.62917787,0.5767329,0.51164293,0.45661807,0.4218078,0.4073499,0.40767828,0.41617656,0.42730594,0.43788037,0.44771075,0.45792922,0.46961442,0.4824077,0.4950823,0.5059721,0.51373607,0.5180121,0.5198367,0.5211553,0.52364224,0.5277033,0.5328443,0.53823304,0.543695,0.54900914,0.55379087,0.55626684,0.5533807,0.53986186,0.5103587,0.46354425,0.40652478,0.35254824,0.31217316,0.28601277,0.2661093,0.24430239,0.21824901,0.19086169,0.16635527,0.14744474,0.13541877,0.13075854,0.13334003,0.14189754,0.15371281,0.16574945,0.17651062,0.18702985,0.19944084,0.21433377,0.23002672,0.24351566,0.2521784,0.25336,0.24452405,0.22525851,0.20058489,0.18154387,0.17839646,0.19271934,0.21275239,0.22199546,0.2098705,0.1802603,0.14591329,0.120489605,0.11081501,0.11759057,0.13708986,0.16395251,0.19247854,0.21823955,0.23915319,0.25522828,0.26783395,0.27816868,0.28610015,0.2899287,0.28736857,0.27879345,0.2678603,0.26085725,0.2608889,0.26628906,0.27064052,0.2686652,0.25832203,0.2414691,0.22074115,0.19845186,0.17610502,0.15536755,0.13763995,0.12407888,0.11482385,0.1102914,0.110535085,0.1163846,0.12732492,0.14217536,0.15656678,0.1651528,0.162706,0.1486909,0.12717256,0.10507595,0.08782616,0.07740304,0.07261207,0.07104759,0.070618786,0.07018194,0.06930124,0.06800685,0.06651492,0.06505784,0.063735135,0.06285014,0.06354767,0.06834344,0.07989647,0.09922334,0.12369788,0.14838046,0.16811712,0.18035525,0.18492407,0.18341641,0.17785428,0.17034554,0.16237919,0.15448071,0.14632535,0.13745476,0.12784755,0.11791956,0.1082244,0.09926816,0.09149354,0.085267805,0.080665216,0.077450424,0.075137354,0.0733351,0.07180829,0.07051757,0.06950182,0.06880805,0.06845041,0.06830887,0.06829554,0.068318136,0.06842325,0.06854949,0.06866554,0.068711616,0.06873398,0.06869176,0.06839856,0.067673914,0.06651638,0.065247245,0.06414675,0.06365594,0.06455053,0.06864201,0.077609025,0.09168398,0.10788101,0.12158182,0.1287087,0.12837501,0.12226674,0.11316258,0.103139065,0.093278915,0.084103964,0.075808175,0.06867988,0.06288478,0.058844995,0.056742538,0.056951005,0.06024931,0.068740964,0.08509097,0.11016741,0.14056267,0.16857906,0.18686698,0.19288826,0.19167794,0.19170545,0.20029408,0.21837644,0.24148166,0.2619886,0.27384833,0.27489328,0.26836628,0.2613356,0.26033393,0.26610723,0.27219483,0.2697886,0.25558668,0.23365796,0.21127874,0.19033794,0.1689244,0.14634392,0.13081837,0.13343482,0.15953965,0.20138298,0.24350995,0.27239302,0.28331485,0.27946997,0.26668537,0.24917454,0.22927268,0.20890237,0.19190246,0.18198355,0.18098412,0.18603729,0.19269113,0.19768532,0.20158416,0.20602481,0.21120559,0.21513498,0.21653123,0.21584225,0.21458448,0.21299098,0.21200925,0.21350564,0.21996754,0.22994755,0.23902756,0.24171259,0.2350533,0.2180777,0.19289708,0.16532786,0.14508258,0.14041097,0.15342832,0.17759503,0.20252477,0.21851923,0.22055978,0.20763172,0.18267561,0.15184863,0.123754464,0.10551977,0.09954927,0.10234956,0.108377494,0.11316213,0.115451455,0.11549631,0.11428118,0.11231641,0.11023281,0.10886281,0.109958164,0.115307234,0.1252596,0.1374731,0.14854816,0.15700401,0.16484235,0.17520376,0.18861301,0.20176685,0.21002674,0.21231252,0.21155639,0.21296406,0.21775301,0.22356318,0.22541736,0.22152144,0.21268167,0.2013268,0.18797253,0.17154233,0.151491,0.13073167,0.115971945,0.11381129,0.1257623,0.14609791,0.16589385,0.17779541,0.17836572,0.1666779,0.14538445,0.12270933,0.111400165,0.12111852,0.15119413,0.19076289,0.22697134,0.25278613,0.2684988,0.27735284,0.28088474,0.27831218,0.26808238,0.25045562,0.22721082,0.20168239,0.17714094,0.15662222,0.14149052,0.13149057,0.124932714,0.12006351,0.115793616,0.11169193,0.10763914,0.10370285,0.101032965,0.10221308,0.11086502,0.12853591,0.15265588,0.1760478,0.19151115,0.19512253,0.18800122,0.17319943,0.15388247,0.13237916,0.111259945,0.09309542,0.07959911,0.07083341,0.06557939,0.062383007,0.060313806,0.05907474,0.058603138,0.058943763,0.060412142,0.06429387,0.07270583,0.08804399,0.111020565,0.13963811,0.16868533,0.19177991,0.20386188,0.20369275,0.19403891,0.1799248,0.16610515,0.15516865,0.14745183,0.14188062,0.13747977,0.13384806,0.13105221,0.12881392,0.12642102,0.12305087,0.1183053,0.11243466,0.10604152,0.09991596,0.09450289,0.089989364,0.08616474,0.08290277,0.08015033,0.07805904,0.076701105,0.07599396,0.07565034,0.07530952,0.07464153,0.07339648,0.07142527,0.068744205,0.06555203,0.062186006,0.058928203,0.05588177,0.05297998,0.050193667,0.04764584,0.045504894,0.043765094,0.042218033,0.04065253,0.039017037,0.037390914,0.035791393,0.034113716,0.03219041,0.029973902,0.027568033,0.025150992,0.022836328,0.020645702,0.018572278,0.016608033,0.014740001,0.012919744,0.011123165,0.009370418,0.007737612,0.0062860795,0.0050423364,0.0039874497,0.0030934121,0.0023392078,0.0017158795,0.0012193074,0.0008403095,0.0005655958,0.0003753902,0.00024853763,0.00016403547,0.00010733648,7.175527E-05,5.7080928E-05]