[0.0018238125,0.002968081,0.0061305664,0.011170012,0.017202273,0.022318294,0.025364349,0.026297992,0.026661532,0.02797465,0.031094423,0.035467446,0.0396731,0.04232207,0.042860683,0.041832898,0.040110067,0.0384618,0.037208688,0.036616318,0.036709752,0.0372607,0.037505608,0.036777567,0.03509587,0.033668492,0.0341284,0.0373161,0.042406287,0.047523275,0.051210072,0.053438634,0.055161268,0.057122096,0.059062008,0.059994306,0.058870777,0.05520159,0.049372237,0.042686384,0.03702348,0.033941068,0.03400581,0.036514286,0.03988186,0.042236704,0.042212233,0.039966445,0.03716096,0.035922855,0.036883425,0.038894758,0.040231008,0.04046373,0.040632933,0.042170625,0.04552171,0.05011059,0.054824695,0.05878267,0.061320115,0.06212953,0.06142203,0.06014034,0.059750337,0.060951304,0.06312248,0.064218394,0.062803335,0.058732603,0.053399786,0.04804273,0.043395717,0.039598677,0.036852382,0.03523131,0.034479856,0.03392214,0.03290076,0.031222792,0.02940777,0.028622726,0.030470103,0.036425494,0.046908874,0.06044188,0.07391668,0.084088355,0.089401,0.090664,0.090215914,0.09028148,0.091831945,0.094604254,0.09805045,0.10201362,0.10679444,0.11234509,0.11787351,0.12171983,0.12232443,0.11925619,0.11402956,0.109362185,0.1074292,0.108306654,0.1103526,0.112062596,0.11348223,0.11560748,0.11855789,0.12103817,0.12139898,0.11951064,0.116667695,0.11463922,0.11406779,0.114397265,0.11432174,0.11280339,0.10978731,0.105930835,0.10206732,0.09812772,0.09370676,0.08849601,0.083247,0.07893316,0.076218605,0.07479811,0.07417324,0.07402279,0.07436634,0.0747734,0.07435595,0.072232135,0.068597585,0.064618446,0.06157944,0.05978085,0.058632996,0.057475787,0.056293488,0.05536774,0.054835603,0.054359276,0.05371679,0.052757073,0.05146408,0.049589947,0.04707503,0.044338632,0.042264696,0.04164736,0.042652577,0.044861168,0.047650296,0.050514605,0.053108815,0.05501826,0.05584765,0.055304516,0.053602207,0.05129231,0.049095865,0.047297765,0.045882236,0.04472083,0.04427779,0.04522081,0.048230994,0.05338375,0.060863715,0.07062922,0.082112916,0.09296751,0.100055754,0.10124474,0.09766523,0.09311071,0.091568045,0.09442475,0.09998784,0.10515221,0.10727745,0.10510094,0.09866638,0.089157246,0.07857776,0.06885919,0.061319526,0.056408506,0.05452401,0.055661287,0.05931093,0.06375835,0.06738487,0.06925785,0.069846086,0.069928676,0.070144735,0.07060653,0.07124882,0.072106816,0.07326426,0.07475594,0.07619625,0.07710686,0.077203624,0.076760806,0.07620969,0.07592251,0.076022096,0.07671175,0.078075476,0.080110125,0.08239875,0.08449477,0.08582675,0.08612614,0.085429825,0.08458111,0.08474972,0.08684545,0.090557575,0.09478062,0.09833463,0.10093395,0.10296295,0.10515971,0.1082078,0.11249602,0.117693,0.12227825,0.124026574,0.121162914,0.11349342,0.102559805,0.09063476,0.07999297,0.07214881,0.06789432,0.06684343,0.06786319,0.06970959,0.07192453,0.074721225,0.07819138,0.08176907,0.084488176,0.08571439,0.085715055,0.08535543,0.08570823,0.08730215,0.09053979,0.09516024,0.100091696,0.10265279,0.101169206,0.09755043,0.098922096,0.11244448,0.13973755,0.17352092,0.20299022,0.22016154,0.22415741,0.21856385,0.20762207,0.19375668,0.17832465,0.16299896,0.15000023,0.14112437,0.13659342,0.13500963,0.13442308,0.13382167,0.13381815,0.1357169,0.13976483,0.144036,0.14555222,0.14243998,0.13559102,0.1280828,0.12315848,0.122235395,0.124102615,0.12600553,0.12527981,0.121155865,0.11464608,0.107705034,0.10187769,0.09852779,0.09939993,0.106394775,0.11973095,0.13646692,0.15160714,0.16143067,0.16574226,0.16715498,0.16817199,0.16979872,0.17168099,0.1731271,0.17285615,0.1691214,0.1607681,0.14873236,0.13618572,0.1264685,0.12123642,0.11982503,0.12080317,0.12318917,0.12702143,0.13252443,0.13924168,0.1453612,0.14834847,0.14650275,0.14059865,0.13366856,0.12875943,0.12659867,0.12534128,0.12283958,0.11866068,0.11428547,0.11164964,0.11201703,0.115742385,0.12175879,0.12759256,0.13012952,0.12818883,0.12328082,0.1185874,0.115929455,0.115082644,0.11433238,0.112434596,0.1087842,0.10360474,0.0974198,0.09137132,0.0866325,0.08403227,0.08336247,0.08370868,0.083858185,0.08307433,0.08135494,0.07934989,0.07766485,0.07610119,0.0736951,0.06970262,0.06504837,0.06283637,0.06762929,0.083255015,0.110115975,0.14322636,0.17353843,0.19213931,0.1949218,0.18339224,0.16270578,0.138895,0.11809891,0.10518404,0.10195532,0.10594973,0.11301094,0.12113138,0.13187832,0.14709906,0.16565175,0.18317018,0.19591786,0.2028854,0.2057727,0.20638621,0.20590527,0.20494737,0.20450138,0.20535403,0.20713447,0.20795923,0.2058845,0.20084073,0.19509746,0.19170402,0.19239789,0.19651867,0.20133322,0.20309626,0.19889383,0.18836467,0.17433012,0.16164798,0.1552402,0.15874337,0.17267305,0.19363193,0.21443965,0.22869253,0.23405813,0.23386742,0.23307209,0.23540722,0.24129659,0.24896161,0.25566003,0.2596146,0.2612199,0.26220608,0.2636133,0.26450196,0.26344422,0.26038352,0.2566415,0.25312477,0.24866271,0.24108112,0.22838247,0.21110918,0.19134612,0.17313512,0.1604287,0.15737678,0.1652042,0.1810648,0.19713448,0.2080962,0.21813278,0.24430795,0.30025414,0.3784225,0.4427183,0.45415673,0.4000493,0.30561936,0.21116634,0.14510378,0.11237371,0.10377759,0.10702962,0.11655265,0.13604426,0.18067026,0.2585487,0.35610083,0.43071744,0.4442291,0.3930619,0.31983265,0.28057113,0.3031373,0.36764574,0.42118683,0.42170748,0.36816147,0.3035629,0.2798832,0.31761336,0.3907511,0.44492683,0.44274923,0.38591757,0.31065765,0.24951744,0.21187194,0.18502373,0.15718365,0.12815823,0.10672646,0.099044524,0.10229838,0.10747526,0.10639235,0.099087775,0.092612274,0.09482309,0.10596869,0.11817523,0.12204405,0.11444145,0.100845106,0.09209827,0.101192385,0.1408956,0.21679594,0.3157302,0.40256742,0.4363568,0.4005446,0.31460026,0.2205302,0.15093382,0.11571512,0.105731495,0.10807105,0.11540239,0.13062157,0.16719933,0.23651727,0.33064058,0.41371843,0.4433589,0.4058021,0.33275148,0.28320292,0.29755569,0.36867568,0.44312063,0.46476957,0.41395795,0.3203619,0.2313845,0.17658038,0.15373902,0.14599824,0.14220636,0.14297743,0.15165001,0.16511123,0.17517646,0.17537844,0.16665453,0.15370215,0.14433531,0.14933984,0.18593635,0.26155996,0.36045337,0.43860102,0.45715526,0.40839446,0.32339862,0.24242783,0.19324982,0.18416859,0.21044709,0.25766727,0.30556047,0.34160793,0.37109777,0.40891957,0.4562243,0.4878281,0.47289038,0.40249488,0.3015206,0.20620842,0.14183961,0.11278101,0.10990151,0.12049832,0.13780963,0.16906552,0.23029566,0.32620728,0.43266967,0.50426036,0.5087998,0.4537402,0.38457695,0.35157895,0.37449262,0.42953515,0.4682367,0.45758343,0.4050971,0.35373405,0.3449379,0.38508227,0.43987712,0.46194628,0.4296594,0.3593533,0.28805166,0.23976193,0.21348566,0.1925927,0.16553219,0.13464959,0.11100241,0.103074215,0.108791105,0.11889104,0.124340184,0.124833174,0.12552415,0.13135876,0.1395564,0.14374556,0.13872868,0.12621279,0.11242703,0.10706552,0.12129406,0.16695225,0.24611072,0.34116077,0.4136735,0.42786777,0.37606728,0.28608507,0.19841927,0.13953367,0.11260558,0.10748743,0.11278205,0.12395827,0.14494966,0.18936461,0.26380324,0.3547465,0.42189622,0.4296689,0.3760195,0.30360624,0.26802844,0.29593542,0.3657209,0.4227185,0.42415285,0.36547056,0.2801565,0.20534198,0.15897089,0.13579895,0.1237138,0.11475843,0.10745404,0.10258677,0.10038865,0.0999727,0.10025882,0.10118904,0.104279034,0.11547186,0.1455186,0.20665157,0.29574418,0.38631535,0.43510684,0.41624895,0.339083,0.24347286,0.1657796,0.12060068,0.10049977,0.09299197,0.09132915,0.09961765,0.1304335,0.19526927,0.28732255,0.37473145,0.41444325,0.3851271,0.30173612,0.20455734,0.12733282,0.082783595,0.06524066,0.06435824,0.0734019,0.093316816,0.13467626,0.20740192,0.30503508,0.3947096,0.43587613,0.41210887,0.3485439,0.2962028,0.29342398,0.3390318,0.39263496,0.40840587,0.37192655,0.31310025,0.28322193,0.31158867,0.3836646,0.4495711,0.46587193,0.4234953,0.35013768,0.27977172,0.22897005,0.19394511,0.16671568,0.14777471,0.14286037,0.15455568,0.17433369,0.18922652,0.18847989,0.17288749,0.15167917,0.1372044,0.13570361,0.14493392,0.15746391,0.16680746,0.17093426,0.17071743,0.17021024,0.17803288,0.20832634,0.2678322,0.34409687,0.40239802,0.41076043,0.36129448,0.27808174,0.19592185,0.14101784,0.11966669,0.12317089,0.13612776,0.15023322,0.17160891,0.21846192,0.29701456,0.38661268,0.4427087,0.43514922,0.3727359,0.30401608,0.2784939,0.31210983,0.37581542,0.41948393,0.40983605,0.34878695,0.26557153,0.18857153,0.13230173,0.0973518,0.08231631,0.0855414,0.104487576,0.13185816,0.15890145,0.17872895,0.18972927,0.19380383,0.19576871,0.20374079,0.23064834,0.2852,0.35890317,0.41996685,0.43202683,0.38125813,0.2883888,0.19153368,0.11910819,0.0776182,0.05812232,0.049721256,0.048592653,0.061401125,0.10357667,0.18422611,0.28977036,0.37837026,0.40637517,0.35950252,0.26458463,0.16564885,0.09400416,0.05648151,0.044830307,0.04783314,0.06023902,0.08498356,0.13614465,0.2211624,0.32670715,0.4094404,0.429512,0.38142297,0.30809814,0.2679883,0.29196152,0.36172986,0.42440867,0.43564105,0.38990447,0.32423398,0.28904787,0.310593,0.3747833,0.4358307,0.45571616,0.42599794,0.37170574,0.3211394,0.28983256,0.27489865,0.2685533,0.26341727,0.25734526,0.25044405,0.24333788,0.23255385,0.2132427,0.18440948,0.15297286,0.12814577,0.11497154,0.11222752,0.11835251,0.13251416,0.15204923,0.16833435,0.17225832,0.16202025,0.1459439,0.13601725,0.1385722,0.15218441,0.17031641,0.18740046,0.19978416,0.20623614,0.20628767,0.2006638,0.19075178,0.17863835,0.16678791,0.15883875,0.15981877,0.1739086,0.19990163,0.22911727,0.2503238,0.2583684,0.2573918,0.2554743,0.25659108,0.25934848,0.26132035,0.26260903,0.2646729,0.2669885,0.26679388,0.26080075,0.24802072,0.23061426,0.21345513,0.20199014,0.19888078,0.20186149,0.20405555,0.19883199,0.18424262,0.16509764,0.14924085,0.1437639,0.1512208,0.1691506,0.19022031,0.2063626,0.21351252,0.21496333,0.21810023,0.22887345,0.2469079,0.26697746,0.28292796,0.29420376,0.30808643,0.33695868,0.38486972,0.43807092,0.4669913,0.44968918,0.3886825,0.31086048,0.24398108,0.200916,0.17810738,0.16765296,0.16429198,0.16974555,0.19184415,0.24263386,0.3219148,0.40842608,0.4621272,0.45720562,0.40240744,0.34196055,0.31961033,0.347827,0.39737594,0.422184,0.39667043,0.33727607,0.29047504,0.29554585,0.3525994,0.42211255,0.45484802,0.43008456,0.36633965,0.30214503,0.26288056,0.24835108,0.24256544,0.23388064,0.2230653,0.2171378,0.21831258,0.21869244,0.2081917,0.18295795,0.1506279,0.12252774,0.10752911,0.107637845,0.1210678,0.14355068,0.16995238,0.19503771,0.21827395,0.24577934,0.2896764,0.35489118,0.4305179,0.48802733,0.5026274,0.4707241,0.41385913,0.35855064,0.31825104,0.29050994,0.26779535,0.24644881,0.22975506,0.22671604,0.25171122,0.3104929,0.38941643,0.45079932,0.46078667,0.4151593,0.34923854,0.31270972,0.33233693,0.3934127,0.44786394,0.45514098,0.40882495,0.33948144,0.28063527,0.24488811,0.22294365,0.20468158,0.19064826,0.18824275,0.19918664,0.21646357,0.22803421,0.22687788,0.21528433,0.20476578,0.21004559,0.24183767,0.3038979,0.38532767,0.46197224,0.49891272,0.4758313,0.39820603,0.30012718,0.21746172,0.17189802,0.16238636,0.17604828,0.19782428,0.2217047,0.25307992,0.3026221,0.36848152,0.42939427,0.45464814,0.43220785,0.3770723,0.31948635,0.2774729,0.25053194,0.22830643,0.20507495,0.18384331,0.17476016,0.19287662,0.24797058,0.33001134,0.40278587,0.42364025,0.37863657,0.29825437,0.23996095,0.24417026,0.30731487,0.3839729,0.4231304,0.4052148,0.35501936,0.32156476,0.33685204,0.392329,0.4439527,0.45075214,0.4060063,0.33910203,0.2854871,0.25706133,0.24136144,0.22087018,0.19271024,0.167473,0.1564924,0.15933986,0.1643284,0.15906423,0.14074759,0.116984,0.09786099,0.08839607,0.08769629,0.092671454,0.10145891,0.11355487,0.12956299,0.15229608,0.18774647,0.24348636,0.3182051,0.3961352,0.44837764,0.45529953,0.41881272,0.36340037,0.31280303,0.2782743,0.25704858,0.24527602,0.24192204,0.25046775,0.2758318,0.32473564,0.394026,0.46461716,0.5027805,0.48826018,0.43202364,0.37548307,0.3586057,0.3914781,0.44788623,0.4838325,0.470127,0.4066814,0.32035947,0.24102855,0.18797167,0.16330962,0.15865147,0.16079457,0.15913317,0.15072836,0.14028595,0.13486487,0.13684313,0.14354575,0.15289085,0.17093183,0.21096186,0.28145948,0.36987713,0.4422115,0.46314192,0.42472228,0.35051537,0.27638066,0.22309224,0.19213754,0.1755953,0.16817267,0.16938467,0.18354909,0.21995531,0.2838535,0.36406612,0.42801178,0.44338322,0.40306744,0.33236054,0.2657194,0.22299232,0.20332462,0.19754857,0.1979789,0.20326652,0.21737833,0.25130764,0.310468,0.38479757,0.44222283,0.45324767,0.4137127,0.355396,0.32252145,0.33869275,0.38940585,0.43135527,0.42926446,0.3829927,0.33038986,0.3166807,0.35696355,0.4252331,0.47066,0.4608632,0.4000353,0.32486486,0.26773643,0.23872282,0.22527678,0.21386604,0.20128882,0.19354875,0.19447117,0.19832803,0.19478494,0.17810142,0.15430081,0.13389976,0.12463673,0.12597404,0.1355492,0.1512372,0.17209893,0.1934074,0.20967853,0.22025186,0.235745,0.2721199,0.33510768,0.40800717,0.4585456,0.46391484,0.42765787,0.37483478,0.32934263,0.30041292,0.28407583,0.27319887,0.26467538,0.26253068,0.27836737,0.3224099,0.38902244,0.45006976,0.47060037,0.43846917,0.37777594,0.33442983,0.33969283,0.38707307,0.43575493,0.4429003,0.39508358,0.3145368,0.23670425,0.18205786,0.15014917,0.13193054,0.12441224,0.12932755,0.14623505,0.16708206,0.18224788,0.18583965,0.18059367,0.17295884,0.17189093,0.18586959,0.22657664,0.29758838,0.38529047,0.45187807,0.46170673,0.40570894,0.3133105,0.22610728,0.17175357,0.15196271,0.15367414,0.16287889,0.17420328,0.19313212,0.23288894,0.29834923,0.37466577,0.4270713,0.42954627,0.3837327,0.31915304,0.26430634,0.22956567,0.2079003,0.19063532,0.17483635,0.1659437,0.1750253,0.21690154,0.2920961,0.37704444,0.42610094,0.40937364,0.33819616,0.26612073,0.24735598,0.29703987,0.3804314,0.43917796,0.4373472,0.3843654,0.3278899,0.31398013,0.35315526,0.41315398,0.44465837,0.42218062,0.3587139,0.29182395,0.24719201,0.22622655,0.21383132,0.20096429,0.18894161,0.1833204,0.18252756,0.17937404,0.16850637,0.15279593,0.14026397,0.13501672,0.13371186,0.12933075,0.120311715,0.112444036,0.114025354,0.1279857,0.15111999,0.18017088,0.2180969,0.27014455,0.33237788,0.38600656,0.408033,0.3907199,0.3474506,0.30211112,0.27036127,0.25502598,0.24990243,0.24833731,0.24751098,0.25167748,0.27228147,0.31670523,0.37656608,0.42331073,0.42953834,0.39192963,0.339695,0.31408083,0.3357009,0.38950384,0.43264782,0.43099093,0.38034812,0.30941722,0.2500278,0.21796912,0.20781916,0.20830053,0.21174078,0.21663846,0.22293608,0.22964925,0.23484562,0.23644178,0.23307614,0.22435461,0.2152561,0.2177219,0.24813159,0.31014937,0.38464442,0.43277594,0.4266114,0.36899313,0.29341015,0.23383997,0.20401417,0.1949959,0.19240604,0.19036894,0.19525854,0.22031303,0.27462,0.35093972,0.42219302,0.45480254,0.43495917,0.3796034,0.32356456,0.29013467,0.2790524,0.27421677,0.2620429,0.24090599,0.22253923,0.22660248,0.26883626,0.34330288,0.4178795,0.45002496,0.4224416,0.35696957,0.3040016,0.30086958,0.34788248,0.40648246,0.43378076,0.41508198,0.3750925,0.35569334,0.3802471,0.43505356,0.47850457,0.47465035,0.42045283,0.34571862,0.2866285,0.25792074,0.25065824,0.24676965,0.2358243,0.21661885,0.19348158,0.17093842,0.15231277,0.13919151,0.13158017,0.12839687,0.12715688,0.12574603,0.12464122,0.12853085,0.14202677,0.1649165,0.19065247,0.2149363,0.24182476,0.28460845,0.34923732,0.42365646,0.47663394,0.4832135,0.44234586,0.37947395,0.32242632,0.2849476,0.26373887,0.25081518,0.24051678,0.23456526,0.24144423,0.27505484,0.337721,0.4093531,0.4494418,0.43062866,0.3634068,0.29611287,0.27790904,0.32137623,0.3929584,0.43750826,0.42150426,0.35224888,0.2677013,0.20128326,0.1644913,0.15067561,0.15269186,0.1683255,0.1951847,0.22483754,0.24639922,0.25381795,0.24859136,0.23610587,0.22224595,0.21582639,0.23081893,0.27994767,0.35785985,0.43457353,0.46964362,0.44448522,0.37490532,0.2989371,0.24508734,0.2202651,0.21387716,0.21415485,0.21627903,0.2254771,0.2535113,0.30791828,0.37903634,0.43839553,0.45582798,0.4234182,0.3595411,0.29452512,0.2482254,0.22548789,0.21967109,0.22113617,0.2230257,0.22728787,0.24830587,0.2979026,0.36841428,0.42339277,0.4254072,0.36803845,0.28974643,0.24709265,0.2708849,0.3441933,0.41188523,0.4262562,0.38004693,0.31443772,0.28475392,0.3182557,0.39472887,0.46110567,0.47540852,0.4324187,0.36348084,0.30177435,0.2601064,0.22895329,0.19734775,0.16595699,0.14516015,0.14310224,0.1565523,0.17427547,0.18446876,0.18433876,0.17909533,0.17812884,0.18696944,0.20477144,0.22437324,0.23614703,0.23380058,0.21983956,0.2088881,0.22135878,0.27150717,0.35135725,0.43154216,0.47557375,0.46767405,0.41965067,0.36110595,0.31432506,0.28566778,0.26931852,0.258424,0.25115028,0.25256643,0.2741616,0.32522774,0.39844143,0.46433076,0.4859335,0.45034418,0.3818704,0.32961762,0.32850954,0.37581345,0.43164337,0.45152965,0.41736922,0.34708157,0.2757313,0.22886176,0.21191876,0.21519613,0.22654402,0.23686804,0.24263383,0.24395446,0.24345277,0.24314445,0.24330352,0.24247734,0.24189757,0.24855967,0.27559027,0.32970068,0.3999294,0.45398322,0.4605058,0.4117043,0.332738,0.26047477,0.21821672,0.20357592,0.19958682,0.19282906,0.18534994,0.1919356,0.22933035,0.298691,0.37972882,0.43649855,0.44525278,0.41044274,0.3627491,0.33065572,0.32308146,0.33000696,0.339185,0.3455489,0.35245657,0.36706996,0.39730838,0.44201073,0.48703685,0.506654,0.4855529,0.43264183,0.38204384,0.36748555,0.3959104,0.4404547,0.4588277,0.42963183,0.3674399,0.31500122,0.30774742,0.34977344,0.40980688,0.44543278,0.43344173,0.3830305,0.3228675,0.2738846,0.23757876,0.20455354,0.17178394,0.14620085,0.13569231,0.13902862,0.14612214,0.14766186,0.1417579,0.13382922,0.12781017,0.12279674,0.11551071,0.10808014,0.108926356,0.12587997,0.1587998,0.1997745,0.2428884,0.2910153,0.35100114,0.41958722,0.476738,0.4981713,0.47560513,0.42423928,0.36961198,0.32863376,0.30301726,0.28518274,0.26780656,0.250427,0.24196637,0.2594413,0.3127414,0.39001608,0.453523,0.4661162,0.42117894,0.35270062,0.31153026,0.32570875,0.38261667,0.43611607,0.44605497,0.4024965,0.3317347,0.26714215,0.22771485,0.21090879,0.20637463,0.20692092,0.21073395,0.21700846,0.22205673,0.22103287,0.21181852,0.19863267,0.1893515,0.19280082,0.21582592,0.2645131,0.33504173,0.40823245,0.44945887,0.43374762,0.36329433,0.27036655,0.19157273,0.14850949,0.14046396,0.15451442,0.1754889,0.19658934,0.2234168,0.26973236,0.33857456,0.41145125,0.45391235,0.44473204,0.39015853,0.31996667,0.26177934,0.22821377,0.2152906,0.2121438,0.20965798,0.20818555,0.22052856,0.26199046,0.33052698,0.39691034,0.4209962,0.38837516,0.32708564,0.29043993,0.3123608,0.38169977,0.45061755,0.4732559,0.43939587,0.3792689,0.33948907,0.34835577,0.39780912,0.4509451,0.4704099,0.44494188,0.39159453,0.33614516,0.2904655,0.2518267,0.21564679,0.18537839,0.1683311,0.1669786,0.17860089,0.19849555,0.22397693,0.25080934,0.27394855,0.2880772,0.29138032,0.28364217,0.26600492,0.2417504,0.2190444,0.20744562,0.21374673,0.23833787,0.2816628,0.3407688,0.4075311,0.4609572,0.4835889,0.47174212,0.44181743,0.41157195,0.38953212,0.3727027,0.35674325,0.34032097,0.32693624,0.324223,0.34320816,0.3866309,0.43965006,0.4704026,0.45612383,0.40463915,0.35502303,0.34682384,0.3876467,0.4474311,0.48055866,0.462334,0.40049878,0.32572064,0.26333624,0.22259654,0.19802813,0.18247418,0.17166366,0.16530229,0.16394345,0.1680934,0.17756665,0.19137575,0.20754671,0.22139788,0.22727793,0.22168547,0.20868115,0.19742833,0.19554299,0.20207267,0.20972003,0.21254416,0.21242915,0.21701048,0.23310333,0.2594657,0.2874287,0.30664515,0.31568,0.32668075,0.35656023,0.40935418,0.4636049,0.48624256,0.457137,0.38659838,0.30361858,0.23598279,0.19592057,0.18298797,0.18897004,0.20624037,0.2318685,0.27293718,0.33434966,0.40627408,0.4568483,0.45498443,0.39775124,0.32063383,0.27631631,0.2938116,0.35925505,0.42165598,0.4367628,0.3969872,0.33956662,0.3139118,0.3449185,0.41492972,0.4756875,0.4844495,0.43061468,0.3420368,0.2610077,0.2190981,0.22179548,0.25383538,0.29126826,0.3164489,0.3222451,0.31051865,0.28409293,0.24607223,0.20160158,0.15992796,0.1306443,0.118550636,0.12240934,0.13622145,0.1532742,0.16799276,0.18042801,0.19677228,0.22889934,0.28554165,0.36244342,0.43803266,0.48324823,0.4829409,0.4458065,0.39737007,0.35830688,0.33506322,0.32313478,0.3172557,0.31593743,0.32201138,0.342001,0.3811626,0.43389192,0.47912073,0.4902474,0.4581946,0.40271115,0.36266837,0.36553982,0.40673503,0.45120525,0.4600577,0.41842076,0.34248933,0.26409897,0.20612182,0.17345585,0.15740775,0.14808805,0.13978198,0.13167398,0.12511541,0.121640064,0.12236484,0.12772857,0.13792767,0.1540903,0.18024372,0.22479856,0.29231858,0.37438044,0.44414464,0.47334185,0.4511404,0.39313185,0.32621232,0.2695894,0.22793974,0.19706635,0.17427568,0.1620511,0.16914482,0.2063895,0.2751987,0.35814548,0.41961727,0.43084288,0.38966146,0.3236127,0.2645826,0.22955382,0.21671383,0.2175184,0.22450697,0.23581481,0.2553793,0.29350078,0.35243294,0.41725418,0.45419312,0.44016445,0.3824722,0.322193,0.3020951,0.33602116,0.3975873,0.4392481,0.42896083,0.3732486,0.31409907,0.29658413,0.3337742,0.3963094,0.43207765,0.4088286,0.3336072,0.2452883,0.17787655,0.14251192,0.12817112,0.121508084,0.11590776,0.112359904,0.11263654,0.115809776,0.118317485,0.1163497,0.10950142,0.10021576,0.09247991,0.08815626,0.08716004,0.08853144,0.092134714,0.09879514,0.11046821,0.13252337,0.17471385,0.24466504,0.33483896,0.4178083,0.46066377,0.4505342,0.40258336,0.34667012,0.30378866,0.2798476,0.27026948,0.26873168,0.27129054,0.28002724,0.3053751,0.35513365,0.42065462,0.470803,0.47381175,0.4248769,0.3559811,0.31546426,0.3305482,0.38957277,0.4476644,0.46444413,0.4284929,0.36320606,0.29921967,0.25395766,0.22575843,0.20678754,0.19189095,0.18001123,0.17104274,0.1644162,0.1598686,0.15723754,0.15669335,0.1577894,0.16368802,0.18242091,0.22762656,0.301635,0.38684773,0.44426262,0.44526663,0.38967156,0.3101523,0.24260555,0.20748581,0.20209807,0.21218134,0.22300549,0.23038834,0.24396901,0.28078815,0.34597966,0.42115828,0.47003663,0.46632695,0.41140604,0.33259463,0.26070023,0.21448238,0.19647695,0.19950257,0.2131124,0.23236436,0.26123014,0.30909622,0.37325123,0.43177977,0.45126143,0.41747046,0.34982386,0.29518613,0.29159006,0.34125474,0.40720594,0.44235766,0.42672566,0.37975278,0.34553573,0.35622382,0.4117914,0.47828522,0.51224333,0.48883462,0.4175687,0.33611473,0.28378293,0.279599,0.31288543,0.3560286,0.38314864,0.38288867,0.35832596,0.31765696,0.26972184,0.22214419,0.18334664,0.15889867,0.1498407,0.15207756,0.1601634,0.16999692,0.18018033,0.1925174,0.21170746,0.2443552,0.29633406,0.36554965,0.43803635,0.48822227,0.4973719,0.46593627,0.41687977,0.374763,0.35151455,0.34280908,0.33957732,0.3355217,0.3315021,0.33491668,0.35788044,0.4037508,0.45882788,0.492956,0.48543116,0.44207707,0.39605126,0.38087258,0.4058354,0.4496304,0.47534314,0.45848775,0.40040347,0.3256266,0.2590424,0.2121077,0.1809249,0.15770656,0.13817902,0.12267256,0.11285988,0.109315015,0.11154044,0.11842054,0.12950033,0.14542145,0.16999894,0.21007413,0.27210632,0.35181633,0.4295467,0.4762881,0.47455323,0.42899323,0.3638163,0.30227652,0.25670436,0.22572692,0.2048857,0.19224147,0.19372524,0.21969314,0.2763285,0.35273135,0.41969118,0.4455812,0.42067817,0.36327687,0.30459464,0.26519588,0.24860954,0.24825716,0.25763094,0.2739688,0.2985165,0.3363309,0.38836822,0.44268355,0.47254583,0.45446697,0.3909789,0.3162007,0.27729213,0.2990314,0.36696878,0.4325557,0.45058843,0.40996507,0.34357676,0.30298218,0.31812945,0.37605795,0.4266727,0.42502868,0.36079732,0.2658052,0.18106167,0.12960277,0.1074722,0.09981805,0.0957891,0.09320354,0.094491005,0.10150716,0.11388818,0.12869582,0.14208162,0.15018936,0.15097944,0.14486814,0.13471948,0.12475682,0.11856129,0.11833173,0.12438098,0.1392196,0.16907845,0.22382502,0.3023872,0.38694158,0.44390774,0.45220837,0.4145036,0.35806116,0.3079015,0.27676928,0.26232073,0.2583667,0.25909182,0.26419282,0.28071022,0.3196679,0.38077363,0.4428226,0.47081852,0.44618544,0.38500372,0.33191016,0.3249472,0.36731192,0.4255859,0.4562391,0.4390808,0.3852557,0.32347658,0.27394173,0.24170627,0.22150911,0.20891927,0.20204403,0.20012678,0.20152898,0.204147,0.20591454,0.20495667,0.19983125,0.1927105,0.19280957,0.21653938,0.27446184,0.35662565,0.42967942,0.45909932,0.43542314,0.3793119,0.3224015,0.2829444,0.26204154,0.2516308,0.24640763,0.24483247,0.24713357,0.25190985,0.25606617,0.25709748,0.25482878,0.25160366,0.24935542,0.2475937,0.24305786,0.23217328,0.21387182,0.1912474,0.16944586,0.15223129,0.13895553,0.12691687,0.11377123,0.1001046,0.08725881,0.07693885,0.07034329,0.06950975,0.076094024,0.08989843,0.107487686,0.1239419,0.13597347,0.14401124,0.1508563,0.15943204,0.1698853,0.1797915,0.18396662,0.17888212,0.16456698,0.14734377,0.1343029,0.12929635,0.1286293,0.12641568,0.119352706,0.1104632,0.105162926,0.106645204,0.11314535,0.1187056,0.11764913,0.10826955,0.09527463,0.08548355,0.08253518,0.08385996,0.0846861,0.08364207,0.085029155,0.09497833,0.116217524,0.14435686,0.17080277,0.18694407,0.19015104,0.18243635,0.16854376,0.15142739,0.13406877,0.11969275,0.11237293,0.11251459,0.11674661,0.119548865,0.11975139,0.120614946,0.1268105,0.13750492,0.14628874,0.14605278,0.13559373,0.120914064,0.10957963,0.10516035,0.10446017,0.102476835,0.09652638,0.088941485,0.08352199,0.08240212,0.085004605,0.08997708,0.09771971,0.1089603,0.12364308,0.1391169,0.15352833,0.16665137,0.18053783,0.19544838,0.20892711,0.21618474,0.21507096,0.20805562,0.20101154,0.19580232,0.18847865,0.1727155,0.14956413,0.1266507,0.11253785,0.107799016,0.10829991,0.11084635,0.11880624,0.13741912,0.167382,0.20057915,0.22524005,0.2342686,0.22989428,0.21942814,0.2085728,0.19852252,0.18929142,0.1819369,0.17845882,0.17833936,0.1787389,0.17588979,0.1684534,0.15728025,0.14450209,0.13195266,0.12176591,0.116330825,0.11762104,0.12511037,0.13614349,0.1467939,0.15486579,0.16002296,0.16369073,0.16709225,0.17016512,0.17244102,0.17348094,0.17442103,0.1757474,0.17642711,0.17398332,0.1666878,0.15668021,0.14690953,0.1401244,0.1348583,0.1296738,0.12421041,0.12084233,0.12221762,0.12794106,0.13603176,0.14269066,0.14711654,0.14878173,0.14856946,0.14546652,0.13913628,0.1304604,0.122957684,0.121367104,0.12884688,0.14457619,0.16300581,0.17676033,0.18115668,0.17661788,0.16801734,0.16051416,0.15738565,0.1580758,0.16042636,0.16114183,0.15930498,0.15501058,0.1505921,0.14691329,0.14442855,0.14138694,0.13700758,0.13177742,0.12915093,0.13309623,0.1455139,0.16390336,0.18176472,0.19209881,0.19051401,0.17815869,0.1607278,0.14686917,0.14376763,0.15385786,0.17249495,0.1902532,0.19876577,0.19592558,0.18660448,0.17716958,0.17091675,0.16621147,0.16017185,0.151004,0.13993508,0.12911655,0.12082851,0.11616158,0.11651328,0.12332062,0.1368147,0.15366262,0.16778308,0.1747572,0.1758005,0.17919809,0.1972676,0.24242264,0.31790018,0.4085238,0.48044476,0.49889377,0.45472717,0.37047362,0.28384733,0.21825357,0.17668307,0.14943253,0.12984627,0.118074924,0.12229896,0.15667745,0.22985835,0.32939908,0.41517365,0.4429417,0.39957473,0.3190288,0.262418,0.2712338,0.33996192,0.41724887,0.44948053,0.41802755,0.35404548,0.31099465,0.3227688,0.37993208,0.43526447,0.4433373,0.38922954,0.29793862,0.20713753,0.14392118,0.11348977,0.10830698,0.11765847,0.133529,0.15126522,0.1675247,0.17844678,0.179615,0.16860215,0.14735086,0.12144815,0.098733395,0.086165674,0.088291936,0.10396572,0.12667178,0.14722373,0.16283892,0.18243195,0.22430634,0.29596266,0.37976953,0.4345069,0.4283854,0.36212707,0.27005383,0.18936445,0.13892667,0.115287416,0.106549926,0.10377852,0.10838169,0.13251723,0.19109567,0.28227273,0.37698635,0.42954934,0.41484722,0.35105357,0.29278257,0.2882669,0.34442392,0.42177296,0.4660101,0.44760358,0.37693676,0.29056787,0.22138608,0.1832151,0.17002513,0.1680543,0.16475248,0.15537065,0.1427313,0.13339652,0.13227981,0.13841842,0.14670368,0.15272236,0.16138771,0.18818183,0.24752884,0.3330935,0.4108955,0.44020644,0.4054623,0.3274501,0.24405265,0.18155931,0.14578734,0.13035898,0.12874623,0.13901007,0.16437322,0.21281855,0.28657886,0.37174892,0.43480214,0.44506502,0.39753428,0.3192801,0.24642819,0.20018376,0.18009977,0.17536221,0.17650284,0.18163145,0.19639613,0.23329385,0.2968527,0.37298858,0.4252493,0.423331,0.3681738,0.30021787,0.27059367,0.302134,0.37258855,0.4280604,0.4280465,0.3725227,0.3054063,0.27742532,0.309556,0.37624952,0.42422757,0.41397104,0.3452828,0.25487244,0.18238406,0.14704512,0.14196342,0.15018879,0.15683533,0.15631938,0.15078752,0.14693952,0.14997242,0.15941633,0.16972232,0.17474534,0.1724485,0.1643923,0.15374821,0.14311884,0.13533784,0.13259654,0.13538818,0.14105386,0.14595467,0.14793567,0.14794604,0.1482045,0.15014684,0.15364872,0.15762004,0.16070688,0.16114746,0.157844,0.1514105,0.14458747,0.14017089,0.1388531,0.1388111,0.13759112,0.13409819,0.12917377,0.12428507,0.120696396,0.119309716,0.12207824,0.130949,0.1457213,0.16139688,0.17083919,0.16997631,0.16169786,0.15354837,0.1519094,0.15800695,0.16809642,0.17685036,0.1808163,0.18003404,0.17704807,0.17422523,0.1719748,0.16971628,0.16748422,0.16680504,0.16858838,0.17256697,0.17687087,0.18014789,0.18080656,0.17787862,0.1708074,0.1624313,0.15825029,0.16330792,0.17681573,0.19129401,0.1986031,0.19875176,0.20468526,0.2356084,0.29895416,0.37735167,0.43301067,0.43623924,0.3862469,0.31119487,0.24274604,0.19782859,0.17581624,0.16936755,0.17271566,0.18601371,0.21569805,0.270471,0.3475002,0.42388454,0.4627197,0.44266436,0.3777527,0.31425288,0.29595888,0.33327422,0.39577052,0.43682253,0.43000484,0.38725245,0.34887362,0.35022894,0.39471984,0.4511639,0.4773053,0.45328918,0.39157936,0.32480702,0.27649766,0.25178206,0.24059248,0.23212214,0.2195717,0.20141138,0.1799547,0.15903391,0.14248067,0.13106658,0.12515105,0.124492854,0.12963392,0.13882266,0.14912659,0.15765017,0.1636738,0.16820659,0.17466469,0.19034457,0.22751065,0.29279932,0.37623158,0.4456066,0.46896458,0.43676093,0.3720676,0.3077861,0.26453212,0.24191582,0.23077105,0.22374703,0.22152175,0.23111756,0.26559713,0.32892653,0.40596905,0.45778528,0.45201886,0.3888875,0.3108203,0.27162692,0.29682812,0.36597708,0.4266212,0.43737534,0.391832,0.3190392,0.25115958,0.20368375,0.17340963,0.1530339,0.13931072,0.13123219,0.12721553,0.12441122,0.12178785,0.11950356,0.119006366,0.12152416,0.13159794,0.1581404,0.21224988,0.29272345,0.3771884,0.42777243,0.41971242,0.3599678,0.28357026,0.22508137,0.19865376,0.19609244,0.20088865,0.20247073,0.20395441,0.22086637,0.2691954,0.34618607,0.425025,0.46755448,0.45569098,0.40016234,0.3320133,0.27512518,0.23894878,0.21975039,0.21101284,0.20774226,0.21093361,0.22990346,0.2741966,0.33924496,0.39825046,0.41744578,0.38523102,0.32609293,0.28746495,0.30120265,0.36070573,0.4217529,0.43870318,0.3971345,0.32583454,0.27492085,0.27797443,0.32886812,0.38341498,0.39522314,0.3471688,0.26277795,0.18059649,0.12596601,0.09953392,0.08853674,0.082132824,0.07733249,0.07670235,0.08188995,0.09074631,0.09813259,0.10117037,0.10178012,0.10453693,0.11145929,0.12049824,0.12802683,0.13203253,0.1324683,0.13211197,0.13871111,0.16522956,0.22353284,0.31010664,0.40118185,0.46027887,0.46558836,0.4228531,0.36251116,0.31240034,0.28303635,0.26642525,0.25202963,0.23658101,0.22755456,0.23781113,0.2786788,0.34729353,0.42144975,0.4657044,0.4579943,0.40758702,0.35442233,0.3387823,0.37254715,0.42970476,0.46702734,0.4567602,0.40294933,0.33302265,0.27218014,0.22965087,0.19993132,0.17535846,0.15254897,0.13302267,0.11879945,0.11005045,0.10508967,0.10242353,0.10193927,0.10565329,0.119348265,0.15417677,0.21872622,0.3058317,0.38482928,0.41941306,0.39423406,0.32837644,0.25829008,0.2115402,0.19346176,0.19243997,0.19331312,0.18887286,0.18644452,0.2059577,0.26195315,0.34577814,0.41998163,0.4459816,0.41094708,0.33830857,0.26366672,0.21120441,0.18410121,0.17446215,0.17401035,0.18133579,0.20180495,0.24666381,0.31830606,0.40209183,0.46155977,0.46651462,0.41479507,0.34361959,0.30161342,0.3154637,0.37141553,0.42738757,0.44792044,0.42807257,0.39625987,0.38837305,0.4192729,0.4709432,0.5039143,0.4895043,0.428133,0.34919345,0.28342137,0.2456525,0.2308435,0.22763552,0.2257747,0.21885358,0.20304155,0.17871171,0.15079516,0.12618294,0.1103519,0.10541636,0.11082953,0.12377962,0.14004596,0.15568818,0.16853385,0.17884117,0.18919182,0.20624404,0.24068868,0.3006157,0.3789754,0.4496139,0.4802598,0.45765662,0.3967731,0.3294541,0.27902403,0.250502,0.23538375,0.22493829,0.21756943,0.22007143,0.24547704,0.30156913,0.37865448,0.4441738,0.46198598,0.42072788,0.3480351,0.29461592,0.29634118,0.34911337,0.41014385,0.43292895,0.39960825,0.32926783,0.25498122,0.19742036,0.15930218,0.13488016,0.120800875,0.115267225,0.116011344,0.11935053,0.122508846,0.12390777,0.123175316,0.121056914,0.12238381,0.1373723,0.18135066,0.25943264,0.3558096,0.4300562,0.44698825,0.39958513,0.31765178,0.24016404,0.19194986,0.1740679,0.17442541,0.17985153,0.18597771,0.20050953,0.2398175,0.3102517,0.39614078,0.46008444,0.473236,0.43309855,0.3658845,0.29955795,0.24981809,0.21707995,0.19776678,0.18896054,0.19179755,0.21188034,0.2571478,0.32502413,0.3943324,0.4305532,0.41401446,0.35806337,0.30579653,0.29694098,0.3390645,0.40119043,0.43740037,0.42003238,0.35538992,0.27422196,0.20646705,0.16465722,0.14344944,0.1307518,0.118698366,0.10681576,0.09900448,0.09656099,0.09676524,0.09422881,0.08730611,0.078064404,0.07124212,0.06897565,0.07042297,0.07235685,0.071804084,0.0680045,0.063001335,0.061611574,0.06830414,0.08473426,0.10654064,0.12570861,0.13397515,0.12940472,0.116546415,0.10476018,0.10163379,0.110179044,0.12704624,0.14553916,0.15936948,0.16664599,0.17029981,0.17566603,0.18632519,0.20190282,0.21782522,0.22792102,0.22698273,0.21321493,0.18915242,0.16053681,0.13388257,0.11320392,0.10032827,0.09657743,0.10515467,0.12808822,0.16285364,0.19996263,0.22789268,0.2378881,0.22866459,0.2053354,0.17744529,0.15446974,0.14280337,0.14442988,0.15691529,0.17435782,0.18809058,0.19095205,0.18081725,0.1621928,0.14289342,0.1297804,0.12688498,0.13412862,0.14874542,0.16514301,0.17805956,0.18363945,0.18175901,0.17633307,0.17410885,0.1811831,0.19802137,0.21983282,0.241304,0.26398882,0.29632688,0.34571183,0.40654907,0.45842862,0.47782743,0.45791376,0.41381916,0.37126958,0.345901,0.33702555,0.33363202,0.32594576,0.31141612,0.29735866,0.29966006,0.33174714,0.38925317,0.44378284,0.46047437,0.42692962,0.36646512,0.32394385,0.3300273,0.3793228,0.4327792,0.4508287,0.42430326,0.38127086,0.36395097,0.39208052,0.44849205,0.48885715,0.47877243,0.41769454,0.33908376,0.28050402,0.25766286,0.26034164,0.26763082,0.26440084,0.24647273,0.21881779,0.18963246,0.16552879,0.14880611,0.13874717,0.13393708,0.13265307,0.13314821,0.13503511,0.14176647,0.15735598,0.1818034,0.20834179,0.23222713,0.2576677,0.298816,0.3618387,0.43361816,0.48198843,0.48310235,0.438197,0.37445605,0.3191549,0.28442645,0.2651238,0.25245047,0.24114496,0.23458694,0.24294198,0.27988687,0.34518442,0.41572893,0.45051882,0.4251734,0.3542169,0.2882816,0.27505496,0.32366094,0.3970236,0.43971658,0.42074823,0.35134074,0.2705298,0.20948368,0.17519923,0.1588558,0.15436889,0.16345572,0.18692885,0.2179061,0.24480312,0.25951114,0.26040116,0.24997486,0.2337751,0.22307818,0.2357852,0.28524816,0.36399278,0.43763912,0.46501896,0.42842007,0.34723103,0.261212,0.20150508,0.17597918,0.17454334,0.18271531,0.19272141,0.20715033,0.23818766,0.2939806,0.36625662,0.42601833,0.44383302,0.41152135,0.34865797,0.28516388,0.24129839,0.22124206,0.21841736,0.22238775,0.22616465,0.23182853,0.2550592,0.30757242,0.3805283,0.43481502,0.43309984,0.37072578,0.28968278,0.24721153,0.27275065,0.34595513,0.41028348,0.419278,0.36951426,0.3046043,0.27898362,0.31570756,0.39157566,0.45428446,0.46606788,0.42436305,0.35927355,0.30057153,0.25945756,0.22801912,0.19708788,0.16790128,0.14972086,0.15020871,0.16616319,0.18645728,0.1986959,0.1985632,0.19019483,0.18270111,0.18304683,0.19201607,0.20406665,0.21027617,0.20479806,0.19031705,0.18170309,0.19949871,0.25683892,0.34332538,0.42689,0.47067535,0.46122786,0.41296884,0.35621095,0.31136075,0.28312102,0.26510847,0.25186148,0.24347055,0.24668507,0.27334696,0.33040798,0.40730575,0.47160372,0.4876046,0.44553578,0.37372816,0.32180467,0.32311216,0.37177512,0.4263732,0.44282773,0.4052088,0.33315715,0.26192027,0.21575542,0.19882004,0.20086491,0.20998482,0.21787675,0.22221212,0.22454537,0.22900468,0.23872097,0.2542646,0.2723832,0.29084876,0.3121266,0.34587872,0.39620867,0.4520754,0.48416248,0.46813336,0.40316632,0.31716442,0.24415964,0.20284824,0.18937878,0.18840553,0.18891191,0.19262965,0.21198308,0.2600168,0.33431032,0.41226873,0.4583203,0.45257297,0.40428638,0.34751412,0.3113029,0.30407476,0.31553468,0.33325088,0.35086814,0.36917374,0.39232692,0.42610368,0.4685875,0.50742465,0.52139646,0.500799,0.45636943,0.41771913,0.40954435,0.43293262,0.462502,0.46489277,0.42780188,0.36979762,0.32954383,0.33413294,0.3807194,0.43731424,0.46667942,0.4519358,0.4045395,0.35024595,0.3050694,0.26786143,0.23009545,0.19139962,0.1608053,0.14686288,0.14817454,0.15409271,0.15439014,0.14611533,0.134335,0.12407097,0.116411455,0.1093416,0.10449788,0.108316116,0.1269524,0.15973915,0.19974248,0.24222149,0.29114446,0.35298225,0.42330492,0.48026714,0.49979654,0.47510168,0.42340204,0.36992773,0.33030817,0.30495366,0.28665173,0.26862362,0.2511108,0.24304795,0.26178554,0.31616637,0.39352456,0.4553286,0.46683767,0.4238626,0.36163065,0.32746223,0.34472862,0.39764217,0.44203517,0.44224408,0.3927627,0.32073504,0.25840798,0.22258915,0.20965336,0.20798536,0.20988387,0.21362276,0.22015287,0.2270266,0.22899108,0.22147103,0.2069992,0.19414477,0.19450146,0.21703748,0.2675148,0.33943108,0.41096225,0.4470823,0.4256197,0.35217366,0.26055434,0.18580227,0.1474411,0.14377336,0.16185062,0.18596987,0.20791698,0.23291612,0.27509063,0.3391924,0.40745595,0.4466183,0.4355516,0.38087353,0.31170967,0.2553749,0.22422296,0.21452226,0.21513985,0.2163102,0.21733831,0.23127957,0.2737023,0.34276918,0.40765652,0.42772913,0.38958642,0.3243105,0.28721687,0.31181386,0.38430023,0.45401108,0.47454193,0.43814567,0.37869695,0.34522057,0.3638294,0.42170867,0.47622266,0.48909092,0.45166564,0.386019,0.32095838,0.26977804,0.23026516,0.19742517,0.17297858,0.16098297,0.16181415,0.1723273,0.1893726,0.2116036,0.23608255,0.25865108,0.27491304,0.28295037,0.2810998,0.26877615,0.24804884,0.22714539,0.21540989,0.21763259,0.2288537,0.2419234,0.25279108,0.26502323,0.28235564,0.30607498,0.3322344,0.3559158,0.3720542,0.37798417,0.37329116,0.36016786,0.34161964,0.32082805,0.300485,0.28294322,0.2686358,0.25611195,0.24293871,0.22977889,0.22082855,0.22164899,0.23282452,0.24896507,0.26174554,0.2667192,0.26441997,0.2577577,0.24799384,0.23491065,0.21922438,0.20330316,0.19006647,0.18086724,0.17618735,0.17633015,0.1816485,0.19108163,0.20146255,0.20868814,0.20954418,0.20358773,0.19373597,0.18573743,0.18525796,0.19365342,0.20636351,0.21585928,0.21824487,0.21690662,0.2201619,0.23485954,0.26015434,0.28762436,0.307066,0.3168297,0.32943657,0.36172542,0.417051,0.47200885,0.49325457,0.4618871,0.39116573,0.3110894,0.2492515,0.21592133,0.20915794,0.21929173,0.23844993,0.2640363,0.30390015,0.36296427,0.43155456,0.47774205,0.4716988,0.41123745,0.33342156,0.29061612,0.31076542,0.37720957,0.4379427,0.44985428,0.4079629,0.3503803,0.32492912,0.3541925,0.42008147,0.47652093,0.4839451,0.43369415,0.3526392,0.2800912,0.2435757,0.24649449,0.27365777,0.30452904,0.32451624,0.3280581,0.31535158,0.28752148,0.24718761,0.20073807,0.15850486,0.13003154,0.119410805,0.12457719,0.13946414,0.15769815,0.17489849,0.19192915,0.21477844,0.25286558,0.31178048,0.38530526,0.45312777,0.48945555,0.48237133,0.44160867,0.3923271,0.3544247,0.334083,0.32589617,0.3227385,0.32109883,0.32362914,0.33923674,0.37606657,0.429498,0.47660765,0.4886733,0.456292,0.4009454,0.3632321,0.3702564,0.41539386,0.46083403,0.46729782,0.4212756,0.34215674,0.26327744,0.2077492,0.17859244,0.16542204,0.15709011,0.14817248,0.13903528,0.13200086,0.12873548,0.12945281,0.13423486,0.14348237,0.15980183,0.18800206,0.23654823,0.30753043,0.3904314,0.45711538,0.4816227,0.45493078,0.39390066,0.32393113,0.26436266,0.22034925,0.18918173,0.16756201,0.15743558,0.16698544,0.20729373,0.27881372,0.362658,0.42237517,0.4305155,0.3871754,0.32126322,0.26437417,0.23257421,0.22350149,0.22819924,0.23848002,0.25161955,0.27147844,0.3082856,0.36432138,0.4238331,0.45416245,0.43417707,0.3747461,0.31803298,0.30569723,0.34689644,0.41101703,0.44856572,0.43074796,0.36867717,0.30798575,0.29215702,0.3311638,0.39230922,0.42434296,0.3970749,0.31995657,0.23164256,0.16501267,0.1300485,0.1154285,0.1078322,0.100621246,0.09514135,0.09408575,0.0976988,0.102878936,0.10513524,0.102848746,0.09759048,0.09314584,0.09132103,0.09192874,0.09393433,0.097432025,0.10324355,0.11344274,0.13369517,0.17532057,0.24677825,0.3402848,0.42568848,0.46821275,0.4546164,0.4024786,0.34385026,0.30063573,0.2774217,0.26827684,0.26653442,0.26946613,0.27972746,0.30759218,0.35978618,0.42807326,0.48236775,0.49273542,0.4542021,0.39650285,0.36247048,0.37442198,0.41932008,0.45774654,0.45732382,0.4126048,0.3468132,0.28715196,0.24732406,0.22382899,0.20813014,0.1950428,0.18420792,0.17616852,0.17039675,0.16556358,0.16073863,0.15636869,0.15379262,0.15806404,0.17828383,0.22641158,0.30215952,0.3851522,0.43759528,0.4332497,0.37546372,0.2974117,0.23508108,0.20731866,0.20975651,0.22543645,0.23831962,0.24485447,0.2568003,0.29199114,0.35453048,0.42457774,0.46666622,0.4572699,0.4004486,0.32397187,0.25706795,0.21608092,0.20162733,0.20539154,0.21737851,0.23400377,0.26119566,0.30863264,0.3724548,0.42892265,0.44475707,0.40828082,0.3416289,0.2922428,0.29482913,0.3482492,0.413795,0.44736913,0.4324143,0.39114586,0.3659135,0.38377276,0.4367201,0.4852574,0.48907912,0.43615746,0.3516284,0.27849823,0.24797189,0.26313412,0.30323708,0.34158587,0.3620119,0.36183608,0.34601212,0.31717137,0.27715737,0.23006536,0.18599594,0.15467794,0.14084442,0.14229846,0.15350492,0.16893964,0.18463562,0.19991271,0.21795668,0.2459166,0.29199922,0.3573005,0.42989573,0.48457253,0.5009899,0.47748908,0.4340335,0.39287627,0.36479938,0.3471345,0.3338319,0.3217149,0.31333068,0.31648484,0.34190634,0.39088953,0.44727385,0.48094735,0.47231475,0.42976907,0.38680723,0.3760188,0.40364408,0.44643387,0.46784744,0.44684294,0.38847265,0.31802753,0.25770807,0.2150836,0.18455751,0.1591088,0.13654432,0.11866195,0.10773158,0.104256235,0.10715717,0.11461559,0.12517999,0.13948895,0.16198643,0.20171261,0.2657567,0.3483852,0.42509046,0.46405974,0.44913137,0.3910403,0.318701,0.25606805,0.21251409,0.18421443,0.16624127,0.15743557,0.16417344,0.19688463,0.2610316,0.344246,0.41442004,0.43832445,0.40668356,0.34097612,0.27480796,0.22938748,0.20663072,0.19818616,0.19591232,0.19746196,0.2070417,0.23709452,0.29500678,0.37078688,0.43015456,0.44010225,0.39610985,0.3326354,0.2985165,0.31900883,0.37915,0.43269345,0.44103816,0.39884338,0.34050345,0.31228018,0.3371806,0.39727986,0.44321537,0.43459976,0.36649147,0.27303445,0.19385608,0.14884521,0.13174255,0.12700912,0.12370688,0.11961243,0.11714321,0.118194096,0.1219629,0.124743156,0.123204015,0.11620325,0.10612703,0.096614726,0.09096687,0.090966724,0.09716525,0.10973237,0.12815933,0.15412281,0.19232804,0.25052807,0.32686272,0.40449288,0.4538708,0.45783308,0.42155936,0.37029734,0.32532075,0.29555735,0.2779033,0.26750097,0.26185033,0.26403576,0.28331983,0.3286837,0.3942519,0.45343176,0.47156116,0.43656707,0.37116727,0.3219733,0.32240713,0.37059,0.4293927,0.45640886,0.43370917,0.37601915,0.31338176,0.2658802,0.23671378,0.21890841,0.20731504,0.20056431,0.19923837,0.20265599,0.20862311,0.21402301,0.21581578,0.21214576,0.20416039,0.19751227,0.20128053,0.22135556,0.25367013,0.28350317,0.29557827,0.28525653,0.262007,0.24168755,0.23578866,0.24545312,0.26258788,0.2767665,0.28409272,0.29234484,0.31753,0.3679864,0.43229213,0.47928938,0.4819404,0.4362097,0.3654773,0.29942888,0.25688794,0.23890416,0.23687273,0.23948143,0.24160326,0.24803388,0.2744807,0.32903907,0.3988172,0.4460527,0.43999457,0.38205647,0.31407043,0.28565764,0.31674692,0.3812524,0.42651048,0.41762745,0.36258245,0.30759487,0.29764175,0.34244755,0.40828156,0.44334066,0.41786215,0.3419384,0.2542218,0.18756676,0.15174657,0.13572468,0.12609003,0.11598494,0.106366225,0.10026491,0.098931186,0.10053843,0.101083755,0.09862373,0.09381741,0.090150505,0.089838766,0.093682714,0.10063078,0.10924041,0.11756539,0.12572122,0.13944876,0.17210849,0.23476271,0.32188383,0.40418884,0.44624725,0.4324427,0.3787466,0.31715485,0.27104074,0.24538969,0.23310947,0.22638969,0.22293799,0.22823833,0.25525895,0.31166324,0.3861053,0.44308853,0.4474834,0.3940659,0.31848615,0.27430606,0.29167178,0.35690472,0.41905215,0.43261635,0.38594922,0.3084186,0.23836939,0.19763838,0.18256073,0.17900671,0.17604603,0.17090434,0.16564338,0.16246589,0.16184734,0.1623774,0.16284196,0.1632571,0.16838284,0.18809319,0.2357256,0.3123181,0.39785206,0.45257792,0.44776645,0.38484773,0.29749903,0.22189128,0.17692514,0.15897065,0.15542924,0.15632482,0.16199087,0.18302013,0.23247421,0.30834696,0.38607824,0.42830113,0.4154909,0.35873505,0.29101154,0.23842053,0.20861669,0.19505566,0.18982859,0.1898232,0.1984566,0.22546013,0.2796315,0.3539643,0.41946378,0.43884835,0.3994665,0.32738793,0.27514103,0.28053796,0.34052742,0.4109914,0.44068706,0.40905333,0.34089836,0.28872865,0.2912362,0.34563133,0.40762374,0.42656705,0.3823693,0.29641864,0.2097792,0.14991109,0.120002486,0.1068174,0.09921881,0.09316311,0.0908091,0.093776286,0.10050982,0.10671111,0.10804513,0.10419333,0.09802786,0.09382527,0.093355484,0.096547954,0.10271833,0.111606635,0.122598685,0.13649674,0.15888292,0.20168005,0.27124828,0.35693768,0.4271593,0.45300043,0.4280586,0.3749452,0.32263172,0.28819737,0.27108535,0.26392066,0.26065335,0.26199296,0.27490267,0.31127325,0.37273705,0.4413991,0.4799113,0.4620408,0.39561096,0.32543573,0.29980135,0.33412,0.39956796,0.44350648,0.43176448,0.36776432,0.28693262,0.22242315,0.18757074,0.17468935,0.17195098,0.17189173,0.17215508,0.17105371,0.16608201,0.15624277,0.14335173,0.13175854,0.12616666,0.13345502,0.16400824,0.2266994,0.3141164,0.3960984,0.43300906,0.40645444,0.33230305,0.24886392,0.18644841,0.15426517,0.14366694,0.14273752,0.14532346,0.1553443,0.1859413,0.24745019,0.3329632,0.41154602,0.44806278,0.42832896,0.37046972,0.30617434,0.258566,0.23232265,0.22224082,0.22002743,0.22107035,0.22672343,0.2494173,0.29988757,0.37191454,0.43254915,0.44510505,0.40023434,0.32964805,0.28558826,0.29879865,0.3577567,0.41391543,0.42405006,0.37990025,0.31702867,0.28505412,0.30996978,0.3747884,0.4289672,0.4295548,0.3686278,0.27846596,0.1982823,0.14916606,0.12627937,0.115461476,0.10676237,0.098827355,0.094498135,0.09514182,0.09883841,0.101131074,0.099500306,0.09472529,0.090709925,0.090547316,0.095315926,0.103842735,0.114510216,0.12538396,0.13531207,0.14710993,0.17085177,0.22058566,0.29879662,0.38573727,0.44442108,0.44975317,0.40591314,0.3429366,0.28920183,0.25609037,0.23873787,0.22851181,0.2213891,0.22073531,0.23741388,0.28170905,0.34960768,0.41439772,0.43950322,0.40782163,0.34016955,0.28514087,0.28312147,0.33544016,0.40213028,0.43156347,0.39997563,0.32417747,0.2442049,0.18914054,0.16460602,0.15899642,0.16061236,0.16337429,0.16606188,0.16839194,0.16990209,0.17019397,0.16921717,0.16782792,0.16940601,0.18186714,0.21813528,0.28486344,0.37053668,0.44044998,0.45980427,0.4182886,0.34010962,0.26199794,0.2084049,0.18148792,0.17041826,0.1643327,0.16095251,0.16848408,0.20223968,0.26838753,0.35195526,0.41629532,0.43083236,0.3923764,0.3275633,0.26713294,0.22663313,0.20442224,0.19352485,0.18900007,0.19156075,0.20725895,0.24834017,0.31678686,0.39473736,0.44220313,0.43125728,0.36878183,0.30111027,0.27747902,0.31466255,0.38407233,0.43247136,0.4235913,0.36321044,0.29726914,0.27551857,0.3140364,0.38248348,0.4257394,0.40836367,0.33596006,0.24762104,0.17860746,0.14131849,0.12551054,0.11792788,0.11180973,0.10811467,0.109283336,0.11542719,0.123776555,0.12985134,0.1311169,0.12757383,0.12234206,0.11845243,0.11756798,0.11901008,0.1209009,0.12197685,0.12402139,0.13494417,0.16832541,0.23435704,0.32554188,0.4119546,0.4576085,0.4472516,0.396228,0.33601257,0.2895377,0.26269895,0.2504546,0.24669172,0.24933451,0.26150435,0.29298076,0.3493147,0.4198923,0.47222868,0.47387132,0.42054498,0.34631705,0.30284485,0.31904328,0.38138208,0.43924296,0.446633,0.3912547,0.30227435,0.21946554,0.1667145,0.1426643,0.13437498,0.13088763,0.12799342,0.1259145,0.12508608,0.12517376,0.12489291,0.12440977,0.12482488,0.1313961,0.15339218,0.20493765,0.2881589,0.38369986,0.4490449,0.4525856,0.39460146,0.31109267,0.2396627,0.1986713,0.18249972,0.1787653,0.17822994,0.17778204,0.17683323,0.17624503,0.17692427,0.1796323,0.18307705,0.18530262,0.18426622,0.18027312,0.17470145,0.16971047,0.16671085,0.16683155,0.17023534,0.1759304,0.18148346,0.18405432,0.18158351,0.1740191,0.16335833,0.15278584,0.14483075,0.14038236,0.13852875,0.13766424,0.13608475,0.13294598,0.1284005,0.12443463,0.12497232,0.13561626,0.15965731,0.19279753,0.22111578,0.2292475,0.21259193,0.18287826,0.15808623,0.14836432,0.14960414,0.1525952,0.15331607,0.15581341,0.16424328,0.17608213,0.18372469,0.18140869,0.17023575,0.15545845,0.14190492,0.13166533,0.1248154,0.12091717,0.11910772,0.119835556,0.124996305,0.13673384,0.15416963,0.1741792,0.19558871,0.2226655,0.26086417,0.3091016,0.3549477,0.38191137,0.38095817,0.3588316,0.33184424,0.3128483,0.30207503,0.29009423,0.26912245,0.2394619,0.20922174,0.18690206,0.17623453,0.17488421,0.17765622,0.18215352,0.1888572,0.2002797,0.21622573,0.23509021,0.25186902,0.2610322,0.25845066,0.24749376,0.2355146,0.2275706,0.2198162,0.20603637,0.1843202,0.16105616,0.14332639,0.13439782,0.131097,0.12926643,0.12598734,0.12184325,0.118407816,0.117593236,0.119610965,0.12312186,0.12553775,0.1251523,0.12250901,0.11960101,0.11807131,0.11746809,0.11656637,0.114596315,0.11298414,0.11469355,0.12362877,0.14207707,0.16902804,0.19901673,0.22488777,0.24077265,0.24501653,0.23939383,0.22787736,0.21441187,0.20196982,0.19186257,0.18397069,0.17726564,0.170449,0.16244768,0.15294069,0.14236987,0.13221954,0.124270946,0.12054098,0.12142968,0.12581018,0.1303882,0.13261278,0.1311573,0.12715545,0.12183478,0.11617822,0.11010357,0.10368207,0.09724774,0.09149403,0.08681051,0.083189435,0.08040795,0.07845834,0.077565946,0.07779863,0.078855634,0.07997524,0.08055637,0.08022876,0.07920707,0.07780891,0.076555125,0.075909525,0.076478764,0.07858626,0.081926465,0.085437946,0.08822783,0.09043161,0.09408891,0.10286776,0.12224939,0.15616713,0.20383632,0.2559916,0.2997377,0.32475516,0.32986537,0.3209223,0.3064178,0.29262415,0.2820978,0.27392578,0.26543322,0.25451848,0.24151628,0.22814631,0.21576571,0.2037639,0.19165742,0.18040706,0.17288192,0.17051089,0.17206182,0.17378868,0.17328072,0.17057674,0.16794784,0.16687973,0.16715318,0.16708255,0.16504508,0.16032533,0.1533042,0.14526398,0.13794655,0.13266556,0.12979607,0.12848718,0.12781166,0.12725188,0.1272832,0.12838246,0.13068259,0.13342279,0.13554625,0.13606489,0.13472636,0.13205163,0.1292632,0.12754641,0.127427,0.1282258,0.12869701,0.12821819,0.12813264,0.13175316,0.14223365,0.16000868,0.181069,0.19944786,0.21036403,0.21320583,0.21015142,0.20440064,0.19821261,0.19312431,0.18977773,0.18795365,0.18644716,0.18364923,0.1782936,0.16988812,0.15909451,0.14755976,0.1377876,0.13224141,0.13235497,0.13728629,0.14373742,0.1474209,0.14565744,0.13905038,0.13067831,0.12361691,0.11900067,0.116055466,0.11348942,0.110684104,0.10782919,0.10532021,0.103296675,0.10156789,0.09991255,0.098263316,0.0968605,0.09611261,0.09628902,0.097170465,0.09795006,0.097646035,0.09563643,0.09223133,0.08868227,0.08678603,0.08767485,0.09094269,0.094477534,0.09599345,0.094684325,0.0925847,0.09411931,0.10472522,0.12754309,0.16150469,0.20053267,0.23764484,0.26709756,0.28706765,0.29677144,0.29721507,0.28934917,0.27604273,0.25973812,0.24297333,0.22671467,0.21162762,0.19759615,0.18450598,0.17212425,0.16076851,0.1515667,0.14614423,0.14539152,0.14803144,0.15081798,0.15053721,0.14638822,0.13998662,0.13368008,0.12827908,0.123418264,0.118099,0.112398505,0.10669261,0.10196495,0.098288596,0.09553344,0.092742026,0.08970966,0.086666495,0.08507561,0.086214624,0.09101201,0.09882211,0.107970834,0.115846485,0.12031192,0.12023967,0.11629265,0.1102682,0.104364716,0.09986571,0.096837975,0.09455971,0.092918515,0.09362771,0.10026733,0.11631853,0.14218713,0.17361091,0.20313972,0.22385865,0.23220347,0.22871564,0.21660994,0.20017625,0.18318863,0.16779727,0.15446939,0.14240973,0.13096468,0.11983568,0.1094415,0.10025703,0.093030654,0.08848703,0.08747826,0.090042144,0.095101066,0.10020288,0.10308992,0.10268358,0.09967025,0.095359705,0.09072306,0.086000465,0.08110663,0.07624614,0.07197032,0.06883899,0.06688959,0.06554073,0.06410839,0.062310666,0.06046088,0.059000198,0.058136996,0.057734635,0.057523157,0.057188254,0.05637653,0.05483819,0.05270124,0.05052552,0.04904236,0.04858771,0.04898386,0.049502507,0.04950866,0.04912277,0.05022067,0.056662023,0.07235616,0.0982578,0.12969698,0.15851097,0.1772203,0.18339473,0.17938639,0.16988964,0.15916778,0.14994575,0.14324935,0.13837312,0.13356031,0.12720253,0.1190421,0.11017811,0.101915576,0.09481237,0.08863459,0.08330152,0.07917887,0.07667134,0.07531309,0.07395023,0.071556605,0.068142645,0.06452156,0.061551806,0.059481297,0.058018878,0.056763876,0.055480942,0.05414835,0.05274489,0.051206842,0.04939047,0.047313794,0.04520766,0.043581735,0.04300269,0.044030983,0.04692398,0.05136739,0.056207266,0.05984302,0.06112805,0.06008676,0.0578841,0.055891037,0.054927703,0.054805357,0.05478856,0.054031838,0.052169126,0.049166773,0.04515918,0.040163036,0.034344,0.028216338,0.022643887,0.018410834,0.015847899,0.014751833,0.014611608,0.014904258,0.0152493315,0.015438535,0.0153610185,0.014990333,0.014347951,0.013494392,0.012472443,0.011318497,0.010109709,0.008992452,0.008148565,0.007682649,0.007574434,0.00767785,0.007827935,0.007894349,0.007821841,0.007599005,0.007253114,0.0068234657,0.00634314,0.005826965,0.005289582,0.004773462,0.0043444694,0.0040586977,0.003926081,0.003904435,0.003924022,0.003914543,0.0038301877,0.0036560798,0.0034150572,0.003147743,0.0028909582,0.0026562912,0.0024395867,0.0022390133,0.0020647934,0.0019331424,0.0018523941,0.0018180595,0.0018098938,0.0017982983,0.0017544081,0.0016646442,0.0015377668,0.0013966308,0.0012644449,0.0011523591,0.0010611761,0.0009855389,0.0009212939,0.0008668908,0.00082398514,0.00079336547,0.00077128626,0.0007485849,0.00071550626,0.00066835067,0.00061149226,0.00055384403,0.0005024536,0.00046008194,0.00042562044,0.00039730078,0.00037380875,0.00035486976,0.00034013868,0.0003284949,0.0003178741,0.00030591167,0.00029146438,0.00027500073,0.00025853005,0.00024395622,0.00023249105,0.00022392522,0.00021742104,0.00021184197,0.00020677439,0.00020244204,0.00019931776,0.00019738002,0.00019599842,0.00019459041,0.00019290355,0.000191121,0.00018939878,0.00018790863,0.00018680179,0.00018621456,0.00018617544,0.00018658163,0.00018724806,0.00018792711,0.0001876299,0.00018411326,0.00017307627,0.00015088024,0.000117251715,7.841443E-05,4.3243188E-05,1.885318E-05,5.9831345E-06,1.2331491E-06,9.49411E-08,0,0,0,0,0,0,0,0,0,0,0,0,0,0]