[4.001299E-13,5.183903E-10,4.4263824E-09,3.93286E-07,3.1036004E-06,1.2202895E-05,3.253019E-05,6.41201E-05,9.9867444E-05,0.0001271594,0.00013946807,0.00014239829,0.00017500819,0.0009779526,0.006092921,0.023577727,0.064753026,0.13650468,0.23516731,0.34524533,0.44913924,0.53435004,0.5984364,0.6462322,0.6873557,0.72882146,0.765862,0.7781622,0.7400473,0.64171314,0.50148875,0.3587749,0.25161844,0.20012869,0.20404764,0.2511719,0.32460576,0.40730515,0.48582432,0.5555226,0.62047404,0.6873972,0.7547172,0.8103583,0.8359516,0.8203381,0.76452947,0.68381286,0.5954223,0.5122424,0.43596172,0.3655753,0.30137214,0.24954574,0.21684124,0.2077053,0.22195311,0.2551339,0.2995986,0.34506795,0.38233384,0.40548277,0.4156251,0.41954115,0.42728326,0.44602504,0.47472695,0.5046348,0.52378434,0.5266106,0.5144784,0.4937079,0.46975067,0.44607687,0.42613733,0.4114273,0.40313944,0.3976364,0.39064026,0.3761436,0.3530335,0.32397577,0.29455814,0.26715294,0.24132192,0.21706976,0.19916497,0.19396539,0.20416851,0.2254803,0.25010458,0.27234074,0.29134032,0.3102294,0.33202648,0.3574901,0.38459456,0.41007876,0.43017694,0.44074348,0.438225,0.42229906,0.39634797,0.36506227,0.32971022,0.2882548,0.23882414,0.18390757,0.13009097,0.08446021,0.051238045,0.03051828,0.019770667,0.015619027,0.015726635,0.020077845,0.03236785,0.05796806,0.098698676,0.14628051,0.18555702,0.20483303,0.20802625,0.21112567,0.22923137,0.26295677,0.3001931,0.3272071,0.33831164,0.33634904,0.32673547,0.31394643,0.30095866,0.2907784,0.2854332,0.28516638,0.28795615,0.29091537,0.29030445,0.28127018,0.2592722,0.2234252,0.17997105,0.13927944,0.11086124,0.09793777,0.09885616,0.10995964,0.12825947,0.15087807,0.17404962,0.1934502,0.20530598,0.20710923,0.19781198,0.17782812,0.14982842,0.11808112,0.08738318,0.06104173,0.040566273,0.026767932,0.022110594,0.03206375,0.06182118,0.11006851,0.1642954,0.20673932,0.22549695,0.22274591,0.20922142,0.19409426,0.17836781,0.15855731,0.13245556,0.1021053,0.0720742,0.047158476,0.03238849,0.034631558,0.062391788,0.11996438,0.2003539,0.28430545,0.3508936,0.38967338,0.40583143,0.41109753,0.4143798,0.41397282,0.40333423,0.3758119,0.33344272,0.2838005,0.23650394,0.19580919,0.1614637,0.131988,0.10783589,0.09076644,0.08054709,0.074383,0.068007484,0.05900797,0.04892328,0.043921407,0.053300485,0.08377961,0.13526624,0.19758238,0.2573948,0.30421934,0.33750805,0.36303473,0.3872919,0.41162345,0.43171605,0.44291648,0.44289804,0.43374512,0.41833985,0.39881268,0.37381256,0.33879843,0.28920457,0.2258432,0.15762599,0.09723724,0.05377552,0.028443174,0.016685616,0.012755009,0.013137811,0.017823966,0.030075245,0.053666193,0.08788303,0.1260249,0.16006331,0.18897218,0.2190191,0.2562277,0.29757285,0.33190927,0.34915638,0.34792325,0.33597288,0.32165405,0.30718085,0.28743088,0.25743082,0.21890415,0.1799947,0.14928354,0.12993519,0.12118321,0.12091262,0.12869234,0.14342064,0.16325217,0.18484348,0.20556074,0.22365928,0.23888071,0.25121894,0.2590665,0.25859854,0.24539812,0.2189082,0.18385284,0.14925474,0.123455726,0.1113596,0.112217315,0.12203566,0.13601911,0.15230247,0.17143983,0.19433491,0.21958272,0.24314956,0.26112166,0.27130258,0.27502477,0.2743005,0.2708039,0.26307678,0.24924742,0.22831511,0.20334949,0.17823505,0.15582459,0.13478987,0.11384121,0.09304062,0.07551232,0.0629538,0.05496053,0.04887564,0.043972943,0.043307286,0.054305315,0.08281175,0.12814778,0.17942321,0.22333951,0.25008568,0.25939727,0.25504288,0.24267924,0.22584425,0.20800392,0.19158393,0.17886432,0.17111236,0.16845013,0.16935319,0.17107113,0.17133099,0.1692168,0.16551995,0.1615488,0.15889288,0.15865284,0.16142891,0.16657013,0.17245232,0.17669474,0.1771066,0.17211664,0.16115354,0.14451374,0.12338939,0.10003391,0.07846207,0.0648356,0.066169284,0.08670779,0.123821385,0.16801769,0.20754004,0.23517366,0.25026405,0.25655538,0.257234,0.2531449,0.2430336,0.22550444,0.1999896,0.16715707,0.12943347,0.09098489,0.0571276,0.032225437,0.01861521,0.01658727,0.024872685,0.039874334,0.05537964,0.065612406,0.070371546,0.077198446,0.095685445,0.1293808,0.17191179,0.2131023,0.24625973,0.27134684,0.29028404,0.3028202,0.30649474,0.30032495,0.28699464,0.2713827,0.2575322,0.24711801,0.23918436,0.23189615,0.22316962,0.21267462,0.2008363,0.18888666,0.17736538,0.16722763,0.1595784,0.15562664,0.15557761,0.15886867,0.16508551,0.17456178,0.18804687,0.20451735,0.22089611,0.23242779,0.23718752,0.23677464,0.23671013,0.24085538,0.25010338,0.26138142,0.2720488,0.2811315,0.2889067,0.2942052,0.29416683,0.28707865,0.27395612,0.2575634,0.23906665,0.21791463,0.19400154,0.16985564,0.14933883,0.13495184,0.12634964,0.121266216,0.117050774,0.11181148,0.10487702,0.09716638,0.09056592,0.08682948,0.086194545,0.08747671,0.08896178,0.08964595,0.089536525,0.08917888,0.08891968,0.08847975,0.08708691,0.084285885,0.080367096,0.07666147,0.07434109,0.07408344,0.07551669,0.07815385,0.08113496,0.08309599,0.08187795,0.075657256,0.06446079,0.050382823,0.036443394,0.024642648,0.015676767,0.009243985,0.005010824,0.0025120233,0.0012733691,0.00072237785,0.00048295537,0.00035278537,0.00026918037,0.0002070135,0.00015885934,0.00012428228,0.000102749385,8.9935056E-05,8.231401E-05,7.759937E-05,7.659595E-05,7.764079E-05,7.937052E-05,7.959642E-05,8.026897E-05,8.334047E-05,9.1106E-05,0.00010292631,0.00011867677,0.0001380128,0.00015951814,0.00017903709,0.00019133995,0.00019644959,0.00019965904,0.00020852988,0.00022430067,0.00024177732,0.00025507947,0.00026291705,0.00027056757,0.00028049853,0.0002929011,0.00030201988,0.0003075993,0.00030997416,0.00031349921,0.00031486506,0.00030958583,0.00029386455,0.00037127113,0.001139157,0.004569273,0.014870902,0.037800673,0.07763374,0.13292344,0.19617589,0.2574763,0.31098223,0.35550818,0.3929613,0.42484725,0.45281038,0.47788486,0.4983469,0.5107696,0.5129509,0.5091607,0.50701445,0.51352495,0.5313112,0.5580287,0.5872958,0.6092476,0.6173728,0.6121697,0.60102385,0.58879143,0.5730246,0.5464531,0.5061303,0.45642412,0.4049393,0.35447073,0.30227986,0.24475467,0.18416815,0.12823269,0.0852175,0.058111917,0.044011544,0.03774922,0.03795531,0.05095966,0.089073144,0.15931632,0.2516326,0.33693516,0.38459292,0.38223386,0.34273323,0.2901278,0.24276493,0.206744,0.18158375,0.16815464,0.17068906,0.19451974,0.24036781,0.30090782,0.3605299,0.40154108,0.41373673,0.39986095,0.37336686,0.3482815,0.33196416,0.3237271,0.32015136,0.31984028,0.32548225,0.3417252,0.37102795,0.40974668,0.44683078,0.4679468,0.4606432,0.42174676,0.3581235,0.2854424,0.21937127,0.17029677,0.14027017,0.12747091,0.12994224,0.14777508,0.18059957,0.22518866,0.2746078,0.32022944,0.35563478,0.37830928,0.39014325,0.39444873,0.3946238,0.39302585,0.39051422,0.3869265,0.38019434,0.36788204,0.34530208,0.3082217,0.2551979,0.19287886,0.13333437,0.08799862,0.061900694,0.05545683,0.06944096,0.10521153,0.16124363,0.22927578,0.2972658,0.35360494,0.39092708,0.40828526,0.4107839,0.40845242,0.40941104,0.4185147,0.43571922,0.4588858,0.48094606,0.4912717,0.48024312,0.44619906,0.3965149,0.34190893,0.29053503,0.24527104,0.20562316,0.17040598,0.14000401,0.11705544,0.10613357,0.11271653,0.1406343,0.18755132,0.24263494,0.2896876,0.31685778,0.32256284,0.3148878,0.30333945,0.29426733,0.28930727,0.28799137,0.28891873,0.29054335,0.29099783,0.28722835,0.27686068,0.26144144,0.24923111,0.250764,0.27034393,0.30127206,0.32972357,0.34354973,0.33696356,0.31008258,0.26680696,0.21376586,0.15961035,0.11198894,0.075651966,0.052158024,0.042697225,0.049424846,0.07446597,0.11626252,0.16706342,0.21470957,0.24799551,0.26279488,0.26333752,0.25877663,0.25664878,0.25821906,0.2590841,0.25286496,0.23666371,0.21113537,0.17958319,0.14463626,0.10927698,0.07675967,0.050795693,0.03313845,0.02294691,0.017520135,0.014357061,0.012112406,0.010465007,0.00943755,0.009055798,0.009516594,0.012735371,0.023902772,0.05164531,0.10158197,0.1696301,0.23872519,0.288911,0.3068491,0.29221532,0.25158525,0.19561243,0.13537697,0.08259623,0.044486534,0.022196582,0.01134142,0.0067221406,0.0046861195,0.0036581194,0.0032242779,0.003817832,0.0068547116,0.015164587,0.032791678,0.064111814,0.11021763,0.16609527,0.21915483,0.25510564,0.26493904,0.2506623,0.22234105,0.19148952,0.16575293,0.14877635,0.1431265,0.15020682,0.1685551,0.19222568,0.2142591,0.23069327,0.24294253,0.25488463,0.26982966,0.28762028,0.3057114,0.3192347,0.32398757,0.31725666,0.30064198,0.27765617,0.2512784,0.2206281,0.18334872,0.13987422,0.09564512,0.058268804,0.032365937,0.017758278,0.011116359,0.00904234,0.0099536115,0.014796317,0.027238004,0.050453395,0.08338067,0.11818119,0.14609687,0.16412748,0.17817633,0.19566637,0.21795629,0.23803695,0.2476427,0.24413185,0.23252213,0.21969141,0.20912854,0.19884942,0.18584447,0.16908641,0.15108256,0.1342325,0.11948546,0.10533313,0.09096738,0.07706344,0.06593896,0.058647007,0.053949695,0.04932872,0.044234607,0.04181378,0.047126755,0.06250288,0.08459473,0.105757214,0.11955442,0.12458729,0.12461037,0.124833845,0.12878926,0.13708627,0.14789324,0.1582511,0.1650428,0.16616441,0.16077302,0.1495543,0.1345251,0.11909518,0.10753932,0.10403529,0.110801525,0.12705036,0.1480521,0.16656564,0.17446214,0.16678049,0.1443728,0.115332715,0.09187132,0.08435012,0.095390745,0.11817364,0.1412326,0.15574037,0.16023071,0.15924947,0.15847461,0.16088752,0.16601081,0.17159425,0.17538054,0.17597276,0.17308687,0.16746038,0.16094965,0.15515035,0.14945,0.14027898,0.12360371,0.09926584,0.071675725,0.047199205,0.029340148,0.018165555,0.011501835,0.0075463303,0.005213978,0.004084539,0.0038745862,0.0043448713,0.0052130898,0.00616654,0.0069490075,0.0074380976,0.0076467725,0.007653653,0.007506141,0.007202375,0.0066955723,0.0059801205,0.0051058535,0.0041941265,0.0033538144,0.0026550696,0.0020977997,0.0016573739,0.0013047261,0.0010349433,0.00085809623,0.0007861371,0.0013029232,0.0040676873,0.01246089,0.029559666,0.054891754,0.08197203,0.101347126,0.10643896,0.097921245,0.082118206,0.06618548,0.055550564,0.055454325,0.0739041,0.11989328,0.1961656,0.29244554,0.38650513,0.45602074,0.4906868,0.49609444,0.48537192,0.46864593,0.4487494,0.42410585,0.39411616,0.36104405,0.3289481,0.30086127,0.2766191,0.25393555,0.23085289,0.20868857,0.19069289,0.17940702,0.17423278,0.17239721,0.1710606,0.16863632,0.16474448,0.15952866,0.15360868,0.14783448,0.14304607,0.13941216,0.13629608,0.13225818,0.12555112,0.11463473,0.09899711,0.079683885,0.05926013,0.040979777,0.02720658,0.018477062,0.013349327,0.009950107,0.0070128054,0.0044773193,0.0026199531,0.0015928211,0.0011484873,0.0010002165,0.0009446217,0.00090856367,0.0008623996,0.000795608,0.00070901256,0.00061566755,0.00053166115,0.00046973478,0.00043240507,0.00041747527,0.00041453086,0.0004118297,0.00039482804,0.00036299776,0.000330662,0.00045772354,0.0018545563,0.006983448,0.01919906,0.03876559,0.061162636,0.07887242,0.09028193,0.10322752,0.12959693,0.1727798,0.2218886,0.25983456,0.2752017,0.2693251,0.25062755,0.22811328,0.20647831,0.18815584,0.17442782,0.16675913,0.16574804,0.1713962,0.18224047,0.19524653,0.20593333,0.21038437,0.20672052,0.19503604,0.17596108,0.15022859,0.119612396,0.08764541,0.058729272,0.036176223,0.021132743,0.012893827,0.010058004,0.011443884,0.016941203,0.027999872,0.046857413,0.07378717,0.10450951,0.13080198,0.14505905,0.1449502,0.13439013,0.11996048,0.10634745,0.09412848,0.081204735,0.06620555,0.0509638,0.04096132,0.043102134,0.063133515,0.10221389,0.15577509,0.2135704,0.2640058,0.29830158,0.31405294,0.31375194,0.30203417,0.28269693,0.25868776,0.23181145,0.20315021,0.17257152,0.14090382,0.11031892,0.08435314,0.06567553,0.056281533,0.058291536,0.0728861,0.097655885,0.12477829,0.14548041,0.15499736,0.15518661,0.15074104,0.14579429,0.14209734,0.14003424,0.13760467,0.1315387,0.11839202,0.09935073,0.078813784,0.062333092,0.05119187,0.043590616,0.03663021,0.029893346,0.025252564,0.025372885,0.0311021,0.040911403,0.051435564,0.06016168,0.06541092,0.06715641,0.06509695,0.06028816,0.05392473,0.04810368,0.043692123,0.040674366,0.038070757,0.03503573,0.031477287,0.02791158,0.025267659,0.02396366,0.023881065,0.02435144,0.02481994,0.025084712,0.025412226,0.026246766,0.027770564,0.029477732,0.030261008,0.02927622,0.026686072,0.023690639,0.02143198,0.020222725,0.019377245,0.018043198,0.015792737,0.012905707,0.009966594,0.0074812598,0.005613377,0.0042767916,0.0033009155,0.0025443013,0.0019230427,0.0013907481,0.0009397227,0.0005788154,0.00032013157,0.00015887867,7.420434E-05,3.718804E-05,2.2941276E-05,1.6396683E-05,1.1611009E-05,7.448534E-06,4.1966973E-06,2.010279E-06,7.830413E-07,2.3082013E-07,4.503731E-08,4.186798E-09,2.1337539E-10,0,0,0,0,0,0,0,0,0,0,0,0,6.665424E-14,2.079847E-10,1.7332167E-09,2.0326421E-07,1.4314486E-06,5.741736E-06,1.566491E-05,3.2602387E-05,5.436828E-05,7.737363E-05,9.965198E-05,0.00012504624,0.00015772806,0.00019839151,0.00030888862,0.0016165053,0.007132666,0.022776017,0.054859567,0.108880796,0.18653505,0.28649908,0.4008642,0.51460654,0.6055321,0.65237015,0.6421905,0.57732266,0.47378054,0.35665843,0.24913605,0.16599675,0.11050328,0.080306955,0.0721666,0.08459666,0.115532614,0.16011499,0.21095312,0.26042902,0.3046333,0.34409538,0.3830298,0.4248333,0.46936068,0.51102597,0.54168934,0.55455977,0.5483093,0.5269767,0.499069,0.47475925,0.46292174,0.46441194,0.468722,0.45807552,0.41926062,0.35332385,0.27421382,0.19966745,0.14145309,0.10412083,0.08940787,0.10074667,0.14061953,0.20296896,0.26923802,0.31542516,0.3251687,0.29809067,0.24619983,0.18512732,0.12728174,0.08038182,0.047591195,0.027944861,0.017721279,0.012731743,0.010530942,0.010821651,0.01441557,0.02193127,0.03390573,0.053972587,0.09083537,0.15485232,0.24624462,0.34803566,0.43148223,0.4753926,0.4771658,0.4502404,0.40946603,0.36547747,0.32504913,0.29555798,0.28294787,0.28878358,0.30854857,0.33216652,0.34941855,0.35393825,0.34828913,0.33947602,0.33461437,0.33555546,0.3403879,0.3439724,0.33841088,0.31456324,0.26803315,0.20465441,0.13883172,0.085152425,0.050873328,0.03500493,0.032309387,0.037149575,0.045393035,0.054128926,0.06119727,0.06423061,0.06136006,0.052356392,0.039594818,0.026890935,0.017472545,0.012954331,0.014985644,0.027588338,0.05752786,0.10880834,0.17663926,0.24539399,0.29752716,0.323299,0.32531896,0.3122525,0.29235533,0.2705822,0.25025532,0.23350443,0.22108817,0.21223532,0.20591378,0.20114742,0.19733365,0.19395679,0.19116092,0.1897072,0.19103579,0.196615,0.20669091,0.21953975,0.23148237,0.23958556,0.24278842,0.24281482,0.24088132,0.23647313,0.22586344,0.2056583,0.17534041,0.13980605,0.10653806,0.081794046,0.066995,0.059841573,0.057051603,0.05677561,0.058058012,0.059844304,0.060836744,0.060160663,0.057592463,0.052840132,0.045619786,0.036143888,0.025847131,0.01666643,0.009994169,0.005947922,0.0037988739,0.0026837727,0.0020536873,0.0016534572,0.0013694059,0.0011420551,0.0009414842,0.0007622058,0.00061425136,0.00050740707,0.00044212028,0.00040210527,0.00037003472,0.00033601234,0.00030564747,0.00028501693,0.0002748658,0.0002644062,0.00024873213,0.00027639986,0.002191297,0.011631458,0.040449683,0.10020765,0.19437285,0.30767673,0.4150271,0.49270478,0.53663903,0.55707204,0.5709217,0.5833487,0.58781725,0.5694892,0.52142286,0.44945094,0.37147328,0.30511832,0.262252,0.24845715,0.2676159,0.31830773,0.3889757,0.45632005,0.49920774,0.5100894,0.5001256,0.48493305,0.4759777,0.4754324,0.4841788,0.50167584,0.5243559,0.5399086,0.5318076,0.4893874,0.41813397,0.33831504,0.27257738,0.23337854,0.21968997,0.2233838,0.23610242,0.2523919,0.26917827,0.28458142,0.2974118,0.30665863,0.31235027,0.31466457,0.31492057,0.31481862,0.31822777,0.32831404,0.345212,0.36367643,0.3765371,0.37969995,0.37405667,0.3638338,0.35199478,0.33919975,0.3242009,0.30648825,0.28605464,0.26187035,0.23151185,0.19386,0.15286212,0.11629066,0.09170496,0.08237761,0.08858559,0.10946169,0.14329664,0.18537766,0.22802813,0.26351348,0.28780404,0.30146983,0.30850026,0.3136108,0.32125118,0.33412632,0.35247806,0.37294206,0.39026618,0.40086484,0.40507248,0.4063604,0.4075257,0.409065,0.40828815,0.4010414,0.38329485,0.35304675,0.31050822,0.25720766,0.19696629,0.13651383,0.084650286,0.047457743,0.02567052,0.015351948,0.011858725,0.011885167,0.014100303,0.019585835,0.032903466,0.06018729,0.102230705,0.14967866,0.1866746,0.20448972,0.20902841,0.21645139,0.2379322,0.27156058,0.30442953,0.32409003,0.3265315,0.31819472,0.30886185,0.30386493,0.30029,0.2908655,0.27017215,0.23766613,0.19779511,0.15779813,0.1248166,0.10297028,0.09249691,0.09412526,0.109430514,0.13897645,0.1763091,0.21197425,0.23935258,0.2588949,0.2732837,0.28234258,0.28331637,0.27412683,0.25668064,0.23605989,0.22003114,0.21590978,0.22734356,0.25116268,0.27888492,0.30169347,0.31459883,0.3174282,0.31204677,0.30069014,0.2848027,0.26605895,0.24645646,0.2285567,0.2143246,0.20428427,0.19734006,0.19245817,0.19003819,0.1919031,0.19912498,0.21086107,0.2246973,0.23801649,0.24797201,0.25084314,0.24320771,0.2243376,0.19801652,0.1698123,0.14392255,0.120842405,0.09987482,0.08053911,0.06353628,0.048918903,0.036380786,0.02559975,0.017056767,0.0111842705,0.00788232,0.0069289957,0.009159164,0.016692538,0.030920027,0.04997042,0.06839622,0.08060736,0.084963955,0.08416317,0.08231812,0.08250231,0.08788762,0.10376223,0.13548662,0.18452013,0.24348645,0.29839933,0.33194974,0.33399987,0.30720735,0.27174607,0.2551584,0.2790535,0.3439752,0.42911014,0.5034886,0.5439389,0.5459706,0.5217461,0.48933765,0.46189764,0.44362858,0.4317757,0.42062744,0.40500307,0.3821909,0.3537523,0.32596958,0.30713886,0.3029909,0.3119173,0.3272053,0.3404741,0.34763488,0.3477062,0.3422242,0.33267748,0.32063624,0.30725816,0.2915074,0.2716621,0.24643654,0.21871392,0.19260615,0.1715852,0.1558251,0.14518768,0.14022423,0.14191453,0.14852138,0.1556371,0.15787469,0.15256135,0.13998403,0.12299067,0.10434551,0.086262174,0.06965717,0.055339973,0.044748083,0.04122229,0.049206365,0.07243939,0.110774875,0.15890613,0.2071778,0.24514745,0.2653158,0.2651068,0.24655741,0.2150064,0.17808433,0.1445319,0.121279664,0.1109108,0.111329906,0.11918795,0.1324153,0.14896142,0.16404499,0.17024426,0.16356821,0.14757018,0.13276339,0.12898758,0.13990968,0.1615266,0.18571551,0.20403142,0.21030648,0.20228612,0.18224382,0.15656663,0.13332902,0.11896106,0.11612448,0.12343544,0.13689692,0.15057416,0.15716685,0.1502034,0.12757282,0.09453416,0.06104282,0.036725324,0.025447523,0.026030913,0.036923215,0.061646793,0.10817323,0.17950992,0.26624426,0.34704843,0.4037126,0.42952952,0.4314251,0.41814217,0.39699355,0.36978376,0.3371875,0.29724002,0.25127086,0.20466714,0.16925265,0.1550891,0.16533047,0.19167505,0.21976353,0.23557061,0.23202854,0.21017945,0.17680939,0.14053209,0.10853443,0.08526515,0.07194161,0.06715264,0.06798967,0.071565785,0.07569956,0.07867465,0.07917023,0.076623596,0.071790546,0.06611269,0.06098874,0.05702041,0.05429016,0.052284118,0.05031362,0.047623415,0.044326197,0.04144449,0.040602196,0.042605847,0.046707746,0.050919935,0.053690154,0.05546559,0.058892954,0.06660193,0.07858228,0.090488315,0.096247435,0.09171989,0.07814193,0.060425565,0.043934837,0.031123249,0.021907965,0.015143576,0.010156735,0.0066929418,0.004576656,0.0034724062,0.0030360345,0.0030221504,0.0032769886,0.0036833158,0.0041241045,0.0045166067,0.004799319,0.004946964,0.004927779,0.0047435984,0.004417987,0.0040298896,0.0036543086,0.0033433454,0.0030766765,0.0028036337,0.0024732528,0.0020907903,0.001697755,0.0013492604,0.0010710342,0.0008620846,0.0007050708,0.00058316684,0.00048407644,0.0004024705,0.00034919978,0.00046021127,0.0011047603,0.0029462632,0.0064965584,0.0116004795,0.017100716,0.021501051,0.02385541,0.024884457,0.027688116,0.038183,0.063327156,0.1068692,0.16526504,0.22760487,0.28156912,0.3190979,0.33934274,0.3458304,0.3440816,0.33929446,0.33511472,0.33259645,0.33053198,0.32778564,0.3240421,0.31789967,0.30577764,0.2840627,0.25552702,0.22988528,0.21938147,0.2286346,0.25192943,0.27566862,0.28780046,0.2821866,0.26058728,0.22818613,0.19129182,0.15407209,0.11932976,0.08826602,0.061977547,0.040979233,0.025461584,0.01484478,0.008405071,0.0057335966,0.008799303,0.023393206,0.059983473,0.12710193,0.22419202,0.33526644,0.4366742,0.5072418,0.53912216,0.53615636,0.510109,0.47348723,0.43676248,0.40525833,0.38036975,0.36101744,0.34648886,0.33622122,0.3292307,0.32310364,0.3152932,0.30472758,0.29279837,0.28145918,0.27120164,0.25959077,0.24377833,0.22256474,0.19989131,0.18390368,0.18502212,0.20927994,0.25391242,0.30638322,0.35096583,0.37690225,0.38299313,0.37510538,0.36072072,0.34566125,0.33301902,0.3235196,0.31580564,0.30860457,0.30254945,0.29866052,0.2966219,0.29338562,0.2867876,0.2750241,0.25703356,0.23005374,0.19328046,0.14896332,0.103643954,0.064111866,0.035120968,0.017372582,0.008754068,0.005859138,0.005814344,0.006874223,0.008276503,0.009728697,0.011084013,0.01218351,0.012901992,0.013153628,0.012979034,0.012476266,0.011791349,0.011025173,0.010240511,0.00944567,0.008644298,0.007839334,0.007024923,0.006159917,0.0052006734,0.004161419,0.0031417068,0.0022695998,0.0016291615,0.0012380918,0.0011183699,0.0020397867,0.006749552,0.021224542,0.052564334,0.104240336,0.1706853,0.23893571,0.29556525,0.33515656,0.3602872,0.37692487,0.38809586,0.39459324,0.39581156,0.3920716,0.38239837,0.36539078,0.33872852,0.30107215,0.25262716,0.1973844,0.1442345,0.1057987,0.093723595,0.11421027,0.16431488,0.23368771,0.30583856,0.36580667,0.40355253,0.42101946,0.4276754,0.43647233,0.45168296,0.4665514,0.46527767,0.4358482,0.3797681,0.31461453,0.26530337,0.25056216,0.27398014,0.32305387,0.37666747,0.4133384,0.41939655,0.39254323,0.3427968,0.28596845,0.2355647,0.19619207,0.16618764,0.14324462,0.12881987,0.12623371,0.13824059,0.16551238,0.20655178,0.25726196,0.31041512,0.3587397,0.39583635,0.41809228,0.42133114,0.4032042,0.36438823,0.3127773,0.26105502,0.22227333,0.20470786,0.20985246,0.23372453,0.26795438,0.30213436,0.32685813,0.3374183,0.3352712,0.3251026,0.3110195,0.29322168,0.2686424,0.23407699,0.19027478,0.14366901,0.102776945,0.07331099,0.055028558,0.044962406,0.042063594,0.05010274,0.07446044,0.11602209,0.16781169,0.21780749,0.25680777,0.28149804,0.29328105,0.29285657,0.28129053,0.26101002,0.23779668,0.21676582,0.20103376,0.19036885,0.18281007,0.17437638,0.16050765,0.13825972,0.108855866,0.07753771,0.05068342,0.032393996,0.023337774,0.02266968,0.031148605,0.051778745,0.086160384,0.1308743,0.17727083,0.21708725,0.24590957,0.26326787,0.26932365,0.26452485,0.25171113,0.23600996,0.22232147,0.21157558,0.20207757,0.19210933,0.18223292,0.17385006,0.16756904,0.16274631,0.15853755,0.15468688,0.15143283,0.14905715,0.14781459,0.14808492,0.15027341,0.1542145,0.15876986,0.16225542,0.1632009,0.16073146,0.15490632,0.14692624,0.13988654,0.13574247,0.13368152,0.12794475,0.11410635,0.09150455,0.06583378,0.042823613,0.026158668,0.015490689,0.009371045,0.00609656,0.004639124,0.0043106675,0.004732491,0.005636851,0.0067495764,0.007793089,0.008530938,0.008854646,0.008754191,0.008320987,0.0076667177,0.0069034086,0.0060836556,0.0052253753,0.004336262,0.0034649428,0.002686984,0.0020720214,0.0016442853,0.0013879045,0.0012642568,0.0016721141,0.004155629,0.011870411,0.027561853,0.050350685,0.07470191,0.095594704,0.11539754,0.14291538,0.18314467,0.22727866,0.25766358,0.2619859,0.24381535,0.21634813,0.19035286,0.16718805,0.14328721,0.116471775,0.08889153,0.0655628,0.05343135,0.059991892,0.09138719,0.14711274,0.21919185,0.29389417,0.36066684,0.4141518,0.45538488,0.48463812,0.5022061,0.5062292,0.49707213,0.4740585,0.43789122,0.38905063,0.33168703,0.27153486,0.215355,0.16760777,0.13063963,0.10450552,0.08743935,0.076132715,0.06686669,0.057482045,0.048189625,0.041220903,0.0392495,0.044504996,0.05853337,0.08262411,0.117969535,0.16504924,0.22137666,0.27929404,0.32568935,0.34772578,0.33949134,0.3064862,0.26065186,0.21412325,0.17398506,0.14391787,0.12581722,0.12134997,0.13101381,0.1528027,0.1803772,0.20367663,0.21295343,0.20422064,0.18044667,0.14869368,0.11570697,0.08751973,0.0703531,0.07116187,0.09429169,0.13789012,0.19216877,0.24282007,0.27694532,0.28870484,0.28043497,0.26001227,0.23635215,0.21642703,0.20356043,0.19770359,0.19638653,0.19751316,0.20006162,0.20352268,0.20503603,0.20051295,0.18754496,0.16953497,0.15397136,0.14793451,0.15286748,0.16459846,0.1763799,0.1830373,0.18245731,0.17562813,0.16504674,0.15377784,0.14391202,0.13639599,0.13056585,0.124810494,0.116901785,0.10508921,0.08890631,0.06962743,0.04981232,0.032184858,0.018654292,0.009697343,0.004639108,0.002192785,0.0011815836,0.00080575206,0.0006688896,0.0006038206,0.0005527479,0.00049953075,0.0004437754,0.00039016223,0.00034186538,0.00029871275,0.00025926493,0.0002236399,0.00019562776,0.0001792256,0.00017709147,0.0001850289,0.0001953509,0.00019696636,0.00018787153,0.00018282027,0.0005479058,0.0027251106,0.010186116,0.027915103,0.05969272,0.104132414,0.15332273,0.1963263,0.22529234,0.23917365,0.24204157,0.23883015,0.23268592,0.2251802,0.21733661,0.2091698,0.19916725,0.18464136,0.16409402,0.13894144,0.11394712,0.09473097,0.08487448,0.08400843,0.089299195,0.098280996,0.1106657,0.12762503,0.14982052,0.17670812,0.20615637,0.23508717,0.25923482,0.27550605,0.2832667,0.28577664,0.28723502,0.29052806,0.29524025,0.29907683,0.2992756,0.29362106,0.28105634,0.26206905,0.23958462,0.21759278,0.19962704,0.18657358,0.17731817,0.1701438,0.16454643,0.16088045,0.1585506,0.15475442,0.14545937,0.12853321,0.105558835,0.08094352,0.058881745,0.041333888,0.028154954,0.018421758,0.011463773,0.006992319,0.004903658,0.0050871614,0.0074590077,0.012586216,0.022230955,0.039059114,0.06414605,0.09471071,0.12414979,0.14586098,0.15693474,0.1589672,0.15568292,0.15026347,0.14433308,0.13795641,0.13010128,0.11943076,0.10534426,0.08913583,0.07351708,0.061561342,0.05490923,0.053331044,0.05540434,0.059127808,0.06272282,0.06398521,0.061580706,0.05493309,0.045396566,0.034800343,0.025250824,0.017881593,0.013127106,0.01057104,0.009513288,0.009235624,0.00926537,0.009387466,0.009565144,0.009804245,0.009988818,0.00983255,0.009049463,0.0075988322,0.005777029,0.004008654,0.0025958007,0.0015971955,0.00093643233,0.00051075383,0.00025452013,0.0001161591,5.293214E-05,2.857344E-05,2.074121E-05,1.8306097E-05,1.6688713E-05,1.4353172E-05,1.0965658E-05,7.118451E-06,3.7590078E-06,1.5427219E-06,4.5746148E-07,8.8627814E-08,9.0131005E-09,1.1870146E-09,9.3392264E-12,0,0,0,0,0,0,4.035351E-15,8.396208E-11,7.4857615E-10,1.5498093E-08,9.436919E-08,4.0506697E-07,1.286564E-06,3.2249966E-06,6.5118056E-06,1.0910975E-05,1.552306E-05,1.9522433E-05,3.0331963E-05,0.00013814592,0.0008615907,0.0036841875,0.011207677,0.025964312,0.048342735,0.07567378,0.10492531,0.13699141,0.1789589,0.23896122,0.31971583,0.41383514,0.5100146,0.5979254,0.67203695,0.72554153,0.7507307,0.7418504,0.70221263,0.6417436,0.570069,0.4918029,0.40896213,0.32631278,0.25093755,0.18834732,0.13973606,0.10385125,0.08219244,0.080502875,0.10857763,0.17240174,0.2687049,0.3796017,0.47982812,0.5449631,0.5608526,0.5240527,0.44213358,0.33282524,0.22111212,0.1305979,0.07371846,0.048995133,0.04617854,0.053706735,0.062915154,0.06852564,0.06813579,0.061621487,0.05074696,0.038351133,0.027304895,0.019435896,0.016043542,0.02102158,0.04476766,0.10267738,0.2041227,0.33825347,0.47088507,0.5600849,0.5798411,0.5325,0.4422625,0.33813632,0.2415996,0.16310333,0.10537332,0.06646809,0.04263323,0.030037249,0.027237607,0.035303462,0.055071946,0.08304742,0.110335134,0.12729102,0.12898257,0.11829563,0.10429356,0.10027683,0.11990589,0.17042093,0.24502467,0.3226826,0.38007522,0.40617502,0.40785384,0.40042934,0.39451727,0.390044,0.38161257,0.36700645,0.3496202,0.33455232,0.32359198,0.3155249,0.30908012,0.30523467,0.30568102,0.31073555,0.31810555,0.32436135,0.32672903,0.32386193,0.3156165,0.30248103,0.28667036,0.27198073,0.26233017,0.25905287,0.26020804,0.2633973,0.26836336,0.27713433,0.28996584,0.30248213,0.30678257,0.2964158,0.2709327,0.23620816,0.20130922,0.17361216,0.15577708,0.14536034,0.1373006,0.12695469,0.11199131,0.092631586,0.071035564,0.05033548,0.033570528,0.022605302,0.01866209,0.023664847,0.04216875,0.07868344,0.13344146,0.19735177,0.25648728,0.2987653,0.32234153,0.33207396,0.33536813,0.33527562,0.33280376,0.32760748,0.32112277,0.31495303,0.31044972,0.30661818,0.30094588,0.29061732,0.27497327,0.25485387,0.23231368,0.20981233,0.19035614,0.17548548,0.16342129,0.15059389,0.13468665,0.11786356,0.10563616,0.106117554,0.12668072,0.17056967,0.23238651,0.29884222,0.3545697,0.38943827,0.40242276,0.3994199,0.38844827,0.3728552,0.3494675,0.31135544,0.25630718,0.19069827,0.12729234,0.077477925,0.046862666,0.0350796,0.037823416,0.048172045,0.058809564,0.0662472,0.07413978,0.089984655,0.118438326,0.15560822,0.19315653,0.22394828,0.24684934,0.26321772,0.27428296,0.27950314,0.27945605,0.27633548,0.2739636,0.27543125,0.28243527,0.2940458,0.3070486,0.31730652,0.32179418,0.32003185,0.31311694,0.3029094,0.29101813,0.27858046,0.2659552,0.25253034,0.23779161,0.2213064,0.2031674,0.18321888,0.16189127,0.14049429,0.12129127,0.10667194,0.098117836,0.096051596,0.09947565,0.10656128,0.114729874,0.1219584,0.12726317,0.13148546,0.13641216,0.14388251,0.15409939,0.16531105,0.17444952,0.17943768,0.18055461,0.18031175,0.18136542,0.18494026,0.19059269,0.19695349,0.20260094,0.20620273,0.20702808,0.20547976,0.20356865,0.20486616,0.21248575,0.22839399,0.25141516,0.27889666,0.30523887,0.3250241,0.3334436,0.33015415,0.3161011,0.2919251,0.25587317,0.2085669,0.15513887,0.104639105,0.06436365,0.037089013,0.021107689,0.013148281,0.010141775,0.009859379,0.010959029,0.013276924,0.018697323,0.030925423,0.05400792,0.088619195,0.13005161,0.1688839,0.19659968,0.209944,0.21250756,0.21064448,0.20953716,0.21067946,0.21347655,0.21715464,0.22223105,0.22892052,0.23697264,0.24582548,0.2566991,0.27007627,0.28334507,0.2895523,0.28296778,0.26373866,0.23849092,0.21369405,0.1903907,0.16422464,0.13177066,0.09516717,0.06110357,0.03560664,0.020297328,0.013173732,0.011166309,0.012979418,0.019941345,0.036539406,0.06636518,0.107879154,0.15022098,0.17886336,0.18325101,0.16441704,0.13205552,0.09795353,0.069417864,0.04827106,0.033627182,0.024447799,0.021890707,0.028577266,0.04806882,0.08062994,0.122491,0.16479737,0.19917323,0.21954595,0.22523445,0.2183372,0.20333014,0.18504979,0.16839398,0.15711975,0.15291448,0.15500848,0.1609128,0.1680923,0.17500377,0.1809174,0.18512563,0.18702288,0.18667929,0.18517013,0.18384658,0.18348478,0.18402398,0.18458581,0.18412244,0.18167983,0.17730361,0.17160767,0.16528934,0.15817732,0.14993817,0.1410686,0.13322067,0.12778233,0.124566786,0.122247994,0.12011245,0.11839373,0.11677918,0.113073945,0.104911424,0.09212521,0.07749977,0.06421146,0.05385029,0.046047207,0.03988498,0.034566324,0.02951205,0.02428948,0.018845443,0.013590456,0.009125151,0.0058451835,0.003776312,0.0026361255,0.002072043,0.0018762505,0.0022239294,0.003771438,0.007458513,0.01388507,0.022679538,0.032390818,0.041284967,0.048180368,0.052881572,0.055674892,0.056889683,0.056583878,0.054550823,0.050436467,0.043947343,0.035479214,0.02619475,0.017747657,0.01129201,0.0071007335,0.0046571004,0.003266427,0.0024107285,0.0018346129,0.0014271755,0.0011325581,0.0009061937,0.0007192979,0.00055633095,0.00042081016,0.00031970764,0.00025633903,0.00022254606,0.00020531342,0.00019418431,0.00018499396,0.00018003122,0.00018109645,0.00018927122,0.0002001314,0.00021048432,0.00021598216,0.0002176049,0.00021560564,0.00021307911,0.00020989664,0.00020777727,0.00020736309,0.00021082332,0.00021714426,0.00022235319,0.00022226544,0.00021566033,0.000207451,0.00020217407,0.00020310633,0.0002069249,0.00021133275,0.00021520938,0.000222601,0.00023434246,0.00024713684,0.00025393537,0.0002527515,0.0002477088,0.0002443115,0.00024240912,0.00023688869,0.00023065816,0.0002575781,0.00043258854,0.0010250666,0.002492105,0.005410133,0.0102107655,0.016941829,0.02517732,0.035289813,0.050416544,0.07807497,0.12734477,0.2026319,0.29842588,0.39998505,0.49004903,0.55277723,0.5759142,0.55070007,0.47845218,0.37409815,0.2631856,0.16902602,0.10248786,0.06163696,0.039514292,0.03299727,0.045860153,0.08660618,0.1583188,0.250901,0.33984843,0.40271327,0.4328721,0.44453478,0.45581385,0.47519812,0.49592003,0.5067068,0.49994075,0.47425553,0.43029937,0.36903742,0.29462263,0.21713038,0.15048864,0.10485076,0.081066586,0.071369566,0.06601602,0.059179027,0.051007945,0.046867397,0.055947203,0.088840306,0.1514246,0.23908335,0.33475193,0.41753343,0.47175112,0.4953934,0.4943439,0.4785398,0.45323262,0.42405704,0.3953522,0.3735825,0.36056802,0.35426,0.34905145,0.3410922,0.33022976,0.3194245,0.31234384,0.31119868,0.3156903,0.32356724,0.33054057,0.33220288,0.32427314,0.30491725,0.2741552,0.23486418,0.19168504,0.15095887,0.11793215,0.09446762,0.077943645,0.06391746,0.04969041,0.03586262,0.024850195,0.018678403,0.019480027,0.031081809,0.05977742,0.10910518,0.17542362,0.24611647,0.30737296,0.35096908,0.37798747,0.39402592,0.40326187,0.40351596,0.38696063,0.34587812,0.2807704,0.20354676,0.13167468,0.07832224,0.046005446,0.029460995,0.021390826,0.01742288,0.016109569,0.018633492,0.027813135,0.047888875,0.08038067,0.12132445,0.15928762,0.18214627,0.18256013,0.16312312,0.13238539,0.10041735,0.073568955,0.0538955,0.040401783,0.03128926,0.025123702,0.021030908,0.019590324,0.024166524,0.041616376,0.07802234,0.13336287,0.19742584,0.2550508,0.29349077,0.30943704,0.3073047,0.29486606,0.27776536,0.2586989,0.23828584,0.21708088,0.19503976,0.17123134,0.14406238,0.11387715,0.08394111,0.0592206,0.043162435,0.03560314,0.03394106,0.03606753,0.04343709,0.05942424,0.085517906,0.11751491,0.14750285,0.16818984,0.17615075,0.17116429,0.15445767,0.12878628,0.09891561,0.071216844,0.050914768,0.04071882,0.0410791,0.05253754,0.07558885,0.10934293,0.14904314,0.18768422,0.2179295,0.23494731,0.23560114,0.21964179,0.19036846,0.1563882,0.12843944,0.11441926,0.11481702,0.12351265,0.13264816,0.1368788,0.13467722,0.12624878,0.112568915,0.09512719,0.07666296,0.060392153,0.049079288,0.04440884,0.047048237,0.056774568,0.071983196,0.08986371,0.10698927,0.12095978,0.13094123,0.13753499,0.1416027,0.1437938,0.14451458,0.1442637,0.14348313,0.14226924,0.14027493,0.13719909,0.13336979,0.12972529,0.12712006,0.12500967,0.12119194,0.11255395,0.09739798,0.076880954,0.0548276,0.035511676,0.021458363,0.012823558,0.008233122,0.0061305747,0.0054410324,0.0056739915,0.0066375285,0.008186486,0.010064453,0.011950524,0.013544659,0.014663865,0.0152146695,0.0151871415,0.014649495,0.013755505,0.012714479,0.011700681,0.010802127,0.0099982945,0.009209298,0.008358332,0.0074099638,0.0064000976,0.005395275,0.0044770124,0.003681101,0.0030164386,0.0024656665,0.0020222114,0.0016704962,0.0013823877,0.0011371752,0.0010244142,0.0017276962,0.005356636,0.016193325,0.039485503,0.07811482,0.128837,0.18222266,0.22712435,0.25662568,0.27081415,0.27460515,0.27331957,0.26938847,0.26251748,0.2521742,0.2394842,0.2266894,0.21466708,0.20193209,0.18562353,0.16405189,0.13763095,0.10885298,0.08092121,0.057157844,0.040236536,0.032190006,0.034257438,0.047227394,0.07125468,0.10501987,0.14386187,0.17916186,0.20019275,0.19930995,0.1764174,0.14090456,0.10845744,0.09563067,0.112097345,0.15538697,0.21004932,0.25630537,0.28111327,0.28591663,0.2812676,0.27759632,0.27665007,0.27399752,0.26330182,0.24200876,0.21132149,0.17597313,0.14159171,0.11306008,0.09303489,0.08236209,0.081039615,0.08861757,0.10362507,0.12309861,0.14319189,0.16091643,0.17561091,0.18936251,0.20553686,0.22650146,0.25093302,0.27440816,0.2918193,0.30194068,0.30686966,0.30985752,0.31112084,0.30822688,0.29733372,0.27566,0.24333459,0.20468795,0.16750443,0.13931619,0.12372888,0.11966083,0.123175345,0.13059415,0.13954176,0.15034275,0.16477071,0.1846617,0.20830862,0.22982784,0.24139011,0.23758775,0.2183273,0.18791573,0.1529092,0.11936694,0.091982156,0.07339179,0.06432124,0.06387863,0.07012568,0.0809496,0.09433478,0.10859499,0.12184662,0.13214321,0.13772589,0.13797134,0.13359295,0.12635566,0.117841996,0.10895572,0.099970065,0.09182862,0.08628728,0.085425,0.08969169,0.0975943,0.106092446,0.1124222,0.11466048,0.11229759,0.106004335,0.097804375,0.09000213,0.084290944,0.0807902,0.079064995,0.07922417,0.08340662,0.09498096,0.11657437,0.1471623,0.18146724,0.21223152,0.2337809,0.24412292,0.24409753,0.23563822,0.22040272,0.20007731,0.17635548,0.15122114,0.12641355,0.10417629,0.08672755,0.0755269,0.06949747,0.065284036,0.05928032,0.049921665,0.038456663,0.027327193,0.018520886,0.012503103,0.008739742,0.0064152083,0.0049551562,0.0040515023,0.0035180885,0.0033792208,0.0039480156,0.0058599296,0.009646394,0.015269979,0.021841371,0.028069884,0.032923102,0.036124926,0.037936557,0.03882274,0.039180245,0.039400443,0.039659526,0.039710216,0.0387394,0.035920184,0.031021299,0.024796775,0.018499905,0.013197909,0.009247202,0.006433735,0.004360365,0.002768144,0.0015801034,0.00078009075,0.00032487873,0.000114126604,4.054717E-05,2.1513571E-05,1.7190005E-05,1.4199078E-05,1.0910829E-05,7.5668354E-06,4.5828237E-06,2.3236644E-06,9.375389E-07,2.7581572E-07,5.200751E-08,3.714563E-09,4.4689233E-10,3.3193037E-13,0,0,0,0,0,0,8.3490994E-14,1.2900389E-10,1.0957423E-09,2.730704E-08,1.7879786E-07,7.1769296E-07,2.0929608E-06,4.786161E-06,8.975375E-06,1.4279859E-05,2.760444E-05,7.74997E-05,0.00041094597,0.002897093,0.013161288,0.041492287,0.0983558,0.18573529,0.29202208,0.39614725,0.48171678,0.54503566,0.59568787,0.6435413,0.69209605,0.7327149,0.7504874,0.7283831,0.65878564,0.5492516,0.42358923,0.31022257,0.23045744,0.19229604,0.1934091,0.22622938,0.28045583,0.34562597,0.41352046,0.48369703,0.560622,0.64808625,0.7377537,0.81099844,0.8461904,0.8328018,0.77594954,0.6933511,0.605384,0.52447057,0.45260406,0.38550234,0.32220748,0.26725307,0.22799419,0.20860629,0.20926297,0.22662954,0.25528243,0.2876337,0.3161249,0.3365674,0.35084823,0.36568916,0.3880202,0.41937634,0.45479596,0.48540926,0.5050377,0.511275,0.5058467,0.49008965,0.46665895,0.4376749,0.40692207,0.37655565,0.3486948,0.3232926,0.29902324,0.27267185,0.24206425,0.20949513,0.18161409,0.16618292,0.16600822,0.17781639,0.1946569,0.21081538,0.22473039,0.2379471,0.25326535,0.27267122,0.29764447,0.32923865,0.3672203,0.4086872,0.44686666,0.47328123,0.48140785,0.47075644,0.44576445,0.4111888,0.36731303,0.3116401,0.24488735,0.17493649,0.11361592,0.06917668,0.042402178,0.028501863,0.022163562,0.021425908,0.028367175,0.047977466,0.08147731,0.122980334,0.15909648,0.18140727,0.19271992,0.20685317,0.23378658,0.2712318,0.3059747,0.32552275,0.3272071,0.3169727,0.30333933,0.29051396,0.27866378,0.26518086,0.24802631,0.22642827,0.20209433,0.1772902,0.15354602,0.13010012,0.10613654,0.081813745,0.059280667,0.040674966,0.027841458,0.021668477,0.022884088,0.030387124,0.041392267,0.05206885,0.062350616,0.07626251,0.09891751,0.12971288,0.16193603,0.18834303,0.20677395,0.2201911,0.23130466,0.24090803,0.24892579,0.25701532,0.2670194,0.27957305,0.29393566,0.30799666,0.31790125,0.31695926,0.30024567,0.2669825,0.22289108,0.17558008,0.1333485,0.10305213,0.08986831,0.09489897,0.11416332,0.14085157,0.16905814,0.19671257,0.22369242,0.2488281,0.26779997,0.2763104,0.27265754,0.25958908,0.24005292,0.21578099,0.18568508,0.15034173,0.11262328,0.0783406,0.05277578,0.039582428,0.04006134,0.051914077,0.06904324,0.08291767,0.08999983,0.09464509,0.10595608,0.12623173,0.14664786,0.15314032,0.13907997,0.10971614,0.07683665,0.049374778,0.030229812,0.018073538,0.010945451,0.0072761853,0.006109076,0.007038387,0.010217382,0.015701635,0.022452444,0.028323421,0.031230623,0.030709947,0.028191155,0.025938237,0.027121244,0.03682382,0.06330622,0.11269251,0.18301684,0.2594413,0.32284304,0.3593702,0.36833343,0.35664153,0.33183208,0.29801154,0.257952,0.21660793,0.1792771,0.1498218,0.12774177,0.110755496,0.09593966,0.0818229,0.0679787,0.056131765,0.050796505,0.058897693,0.08594825,0.13095309,0.18496226,0.23562701,0.27495256,0.30225846,0.32119668,0.33441448,0.3421222,0.3445399,0.3431797,0.3407589,0.33872616,0.3379462,0.3378909,0.33710492,0.3329713,0.32388076,0.31120846,0.29778108,0.28577924,0.27486384,0.26473248,0.2561377,0.25015843,0.24579102,0.23936193,0.22728968,0.20811515,0.18340771,0.15596925,0.1286826,0.103981055,0.08341938,0.06771618,0.05648483,0.049201537,0.0453213,0.04428483,0.04495872,0.045673195,0.04629073,0.050480913,0.06749234,0.106030844,0.16729112,0.2382464,0.30035982,0.3387928,0.3526821,0.34874073,0.33647528,0.3208945,0.30467427,0.28768837,0.26862183,0.24537402,0.21697438,0.18503086,0.15342368,0.1268849,0.10943994,0.103508316,0.11005995,0.12761332,0.15147255,0.17380422,0.18729967,0.18903156,0.18195044,0.17150946,0.16200991,0.15447229,0.14840333,0.14309233,0.1385901,0.13451916,0.13010639,0.12444025,0.117444776,0.10946912,0.10049957,0.09014023,0.07840258,0.0666569,0.05668932,0.04957479,0.04460052,0.04017331,0.03493506,0.028773963,0.022507673,0.017153379,0.01323824,0.010739259,0.009292939,0.008515597,0.008100403,0.007895871,0.007828656,0.007896795,0.008074955,0.008316595,0.008529871,0.008642409,0.008607842,0.008433799,0.008159418,0.007844356,0.0075304653,0.0072067645,0.0068145804,0.006286502,0.0056057577,0.004828635,0.0040599396,0.003413934,0.0029576838,0.0026866456,0.0025200227,0.0023797096,0.0022606554,0.002250121,0.0023950587,0.0027733082,0.0039318223,0.0076815896,0.016905913,0.03372967,0.056616765,0.07958134,0.09485821,0.09780239,0.08985031,0.07881712,0.07612642,0.09352989,0.13614719,0.19890459,0.26579043,0.3205336,0.35395864,0.36877477,0.3722087,0.37094542,0.3669159,0.35933152,0.34620848,0.3266456,0.3013073,0.27222034,0.24120075,0.20960818,0.17862104,0.15001337,0.12548666,0.10588971,0.090807416,0.078706615,0.06767267,0.056146692,0.043999836,0.03237849,0.022924148,0.016538892,0.013252265,0.013040905,0.017422305,0.030134127,0.056101605,0.09677676,0.14741601,0.19674145,0.23459946,0.25647545,0.26612818,0.2699442,0.27317956,0.27755445,0.2825322,0.28723443,0.29098752,0.29343814,0.2941133,0.29274425,0.2905141,0.28968084,0.29231623,0.2966667,0.29648876,0.2831234,0.2515916,0.20391844,0.14923371,0.098382704,0.05970009,0.035799813,0.024767593,0.02188366,0.022289725,0.02242271,0.020955263,0.018907657,0.019606158,0.027905202,0.048740882,0.08354616,0.12855905,0.17502777,0.21473908,0.24305727,0.26101348,0.27176294,0.2790843,0.2840741,0.28604364,0.2826017,0.27353656,0.26079175,0.24848801,0.23863728,0.23061417,0.22028898,0.20366561,0.17821276,0.14543514,0.10945789,0.0761907,0.050362293,0.034432977,0.02746478,0.026269043,0.026832677,0.026511082,0.025507623,0.027848015,0.04062551,0.06987333,0.11512486,0.16615652,0.2078229,0.22857963,0.22767341,0.21344025,0.19697417,0.18488741,0.17744489,0.17058636,0.16062243,0.14717714,0.13344592,0.12366261,0.12059426,0.1241717,0.13198458,0.13976075,0.14268629,0.13650854,0.12018073,0.097257555,0.07556532,0.06383947,0.0666137,0.08205214,0.10244047,0.1202926,0.13121036,0.13564344,0.13474976,0.12933458,0.11933344,0.10628905,0.09333887,0.083960086,0.079912156,0.08059027,0.083837636,0.086978465,0.0875433,0.08349716,0.0739171,0.05964157,0.043383952,0.02848825,0.017370185,0.01058222,0.007274722,0.0061070393,0.006030503,0.006418655,0.0069998377,0.007653182,0.008325614,0.008947711,0.009464719,0.009823727,0.010010828,0.010012259,0.009843681,0.009514186,0.009051914,0.0084655415,0.007788149,0.007056149,0.0063464274,0.0056990515,0.0051185656,0.0045371684,0.0039053187,0.0032185016,0.0025594728,0.0020403154,0.0017587083,0.0017176642,0.0018451269,0.00277754,0.0073091313,0.021766506,0.053886473,0.10746431,0.17662995,0.24668598,0.30182004,0.33445904,0.3481805,0.3520858,0.35148934,0.34242404,0.31541613,0.26504895,0.19786663,0.1293549,0.07457705,0.03922147,0.020261586,0.01102743,0.0064892936,0.004079142,0.0028421113,0.0028346323,0.007189063,0.024204427,0.06676414,0.14247805,0.24445218,0.3492485,0.43255994,0.48493782,0.5158262,0.54120845,0.56731826,0.5886349,0.5914257,0.56834203,0.51936424,0.45639277,0.39129743,0.3328946,0.2793835,0.22648738,0.17202713,0.12135444,0.08177834,0.058301236,0.049780905,0.051721465,0.058388796,0.06590936,0.072270535,0.0772011,0.08078429,0.08273477,0.08230578,0.07847663,0.070786595,0.05957115,0.046532054,0.03412368,0.025134144,0.021755552,0.026056612,0.040959466,0.07141132,0.12161013,0.19010101,0.2665598,0.33677113,0.39138937,0.43002144,0.4569522,0.4745883,0.48229945,0.4797183,0.46798965,0.44880414,0.4219241,0.3880676,0.35033295,0.3155932,0.29042152,0.27966043,0.28511438,0.3062546,0.33759663,0.36878213,0.38756073,0.38832176,0.37504974,0.35809234,0.34420046,0.331313,0.31154594,0.2791108,0.23679048,0.19379865,0.16071682,0.14338988,0.14166264,0.15087713,0.16534323,0.18250372,0.20344442,0.23054254,0.26243976,0.29374376,0.31851873,0.33450723,0.3426166,0.3438783,0.33826545,0.32632217,0.31027353,0.29283527,0.2758418,0.26083675,0.2496832,0.24391681,0.2427032,0.24329507,0.24263553,0.23985766,0.23613791,0.23396628,0.23523025,0.24025714,0.24691844,0.25177512,0.25185907,0.2470906,0.24003224,0.2344122,0.23264366,0.23561142,0.24317579,0.25518343,0.27048945,0.2861189,0.29694852,0.29844913,0.2898248,0.27560452,0.26303342,0.25670013,0.25569668,0.25469348,0.24975277,0.24072035,0.23105282,0.2235359,0.2194732,0.21895581,0.22259718,0.23046349,0.24072902,0.24901088,0.2507837,0.24453883,0.23411588,0.2264924,0.22758771,0.2377433,0.2526821,0.2667068,0.27715674,0.28405783,0.28954113,0.2959396,0.30619192,0.32097113,0.33722508,0.34741735,0.3446577,0.3254652,0.2914177,0.24580659,0.19370909,0.14138867,0.09668436,0.06574284,0.050356627,0.047095805,0.04958121,0.05204081,0.051526666,0.047919262,0.04229826,0.03561562,0.028608225,0.022774309,0.022041157,0.033318363,0.064041816,0.1149529,0.17590512,0.22836386,0.25872818,0.2660623,0.2620504,0.25907007,0.26329106,0.27325186,0.2845051,0.29254493,0.29364362,0.286397,0.27288482,0.25857252,0.24769849,0.23968549,0.22866036,0.20873393,0.17795782,0.1401644,0.1016602,0.068483606,0.043623086,0.02760756,0.019631693,0.019347064,0.026393855,0.038902752,0.052720647,0.06332428,0.06904606,0.07170128,0.07424733,0.07721305,0.07857973,0.07612628,0.07235772,0.07605816,0.10176369,0.15987726,0.2510486,0.36009142,0.46733418,0.55166245,0.59937996,0.59784466,0.54364496,0.44420218,0.32328984,0.20925848,0.12311917,0.06965609,0.041323055,0.02722618,0.019702142,0.015460334,0.013313985,0.012648969,0.013361349,0.016428513,0.024327366,0.040150132,0.06573782,0.09862294,0.13090925,0.15178661,0.15349022,0.13631108,0.109133236,0.08605971,0.08138918,0.10465083,0.15581848,0.22384387,0.2902501,0.33833024,0.36002088,0.35860696,0.34310696,0.3227692,0.30187216,0.28116098,0.26037806,0.24128626,0.22618337,0.21536571,0.20554139,0.19264404,0.1750245,0.15456788,0.13381739,0.113880485,0.09480208,0.07744208,0.06340911,0.053214323,0.045406494,0.037981886,0.030187806,0.022855436,0.01705712,0.013355858,0.012715922,0.018102923,0.034680124,0.06523094,0.10594978,0.14470191,0.16891865,0.17236769,0.15929219,0.13808493,0.11605421,0.09574628,0.0774254,0.061216965,0.0493679,0.04681011,0.060903925,0.09754852,0.15582536,0.22422184,0.28443217,0.3202052,0.32490543,0.30301216,0.264672,0.22109401,0.17960691,0.14401199,0.114159696,0.08949221,0.07028305,0.05933332,0.060873132,0.07771415,0.108575106,0.14550687,0.17842013,0.19840078,0.2035557,0.19574088,0.17969237,0.15854114,0.13520172,0.11154181,0.0898376,0.071916364,0.058892753,0.05020556,0.044187944,0.03981139,0.038969588,0.046646465,0.06732804,0.10032896,0.13760525,0.16835873,0.1849851,0.18709554,0.17892428,0.16573423,0.15078034,0.13527584,0.119095676,0.10199034,0.08468964,0.068815984,0.056210518,0.0476516,0.042989522,0.0414433,0.04225859,0.044460762,0.04660486,0.047021776,0.045590084,0.04587001,0.055505812,0.081255324,0.12292254,0.16948451,0.20543538,0.21869367,0.20764636,0.17827456,0.14026491,0.102068074,0.06996642,0.047088314,0.03355084,0.027194848,0.025560075,0.02842924,0.039316382,0.063035935,0.10066839,0.14524315,0.18483888,0.2098635,0.21910799,0.2178939,0.21249847,0.20598753,0.19864137,0.18934508,0.17634934,0.15768294,0.13342541,0.1074498,0.08622988,0.07391811,0.069583766,0.06917459,0.07167678,0.0798982,0.09572003,0.11340558,0.12185305,0.11304325,0.089103766,0.060115844,0.03619497,0.02189344,0.017218813,0.021836884,0.038128737,0.06817528,0.1110219,0.15958644,0.206044,0.24392454,0.27211317,0.2902454,0.29902366,0.29848912,0.29122636,0.28125376,0.27343273,0.2710271,0.2754526,0.2850487,0.29595482,0.30209264,0.2990955,0.285037,0.26232764,0.23461898,0.20566337,0.17709047,0.14945637,0.12385998,0.103370726,0.09257526,0.09460316,0.10865283,0.12891628,0.14753163,0.15853883,0.16119772,0.15900965,0.156273,0.15425968,0.15014648,0.13941608,0.119508296,0.0927011,0.064696014,0.041449133,0.025575316,0.016376523,0.0114055425,0.00877557,0.007885558,0.00980422,0.016881661,0.032417923,0.058007766,0.0915845,0.12583971,0.15244597,0.16611765,0.16832225,0.16383536,0.15680309,0.14744736,0.1341643,0.11642874,0.09635963,0.07726705,0.06125481,0.048400756,0.03773035,0.029093497,0.024201445,0.026104957,0.03798288,0.060878962,0.092778265,0.1278452,0.15911059,0.18077302,0.1914068,0.19306493,0.18985103,0.18493234,0.17998411,0.17519753,0.17036414,0.16537307,0.16061758,0.15682554,0.1546622,0.1540439,0.15430109,0.15469348,0.1550154,0.15488125,0.15280645,0.14603163,0.1319879,0.11036832,0.083975144,0.057891954,0.03704492,0.024272764,0.01933731,0.019774767,0.022303736,0.024507305,0.025499823,0.026675852,0.031503823,0.04555151,0.072895736,0.11321223,0.158953,0.19972046,0.2270757,0.23904265,0.23841174,0.229392,0.21498358,0.19660147,0.17531955,0.15228929,0.12880866,0.106148176,0.085483946,0.06812333,0.054818626,0.045903947,0.04152784,0.04258349,0.049918596,0.06288529,0.07806801,0.09076802,0.097258754,0.09697976,0.091548316,0.08359984,0.07464421,0.065655276,0.056961935,0.0495825,0.044280376,0.041710068,0.04126062,0.042046543,0.042832483,0.043197747,0.042906824,0.042132016,0.040734675,0.038627837,0.035763625,0.032572668,0.029727539,0.027799549,0.026627501,0.025569344,0.023990646,0.022122785,0.020740464,0.020696111,0.022016063,0.024111392,0.026091563,0.02754259,0.028537346,0.0295149,0.030721113,0.032020167,0.03283057,0.03242437,0.03027718,0.026393196,0.02140917,0.016281476,0.01185969,0.008470992,0.006003996,0.0041380646,0.0026777678,0.0015620809,0.00080248155,0.0003577692,0.00014242083,5.7211615E-05,3.0144118E-05,2.2093009E-05,1.7772933E-05,1.3488335E-05,9.084041E-06,5.208732E-06,2.4358822E-06,8.8209526E-07,2.2603889E-07,3.509553E-08,1.9259916E-09,1.7997089E-10,1.8116746E-13,0,0,0,0,0,0,1.3442326E-13,1.4772394E-10,1.1441538E-09,3.116139E-08,1.815398E-07,6.7497325E-07,1.8272843E-06,3.9223937E-06,6.9349057E-06,1.0408359E-05,1.3632281E-05,1.6257805E-05,2.0428373E-05,8.648829E-05,0.00053652085,0.0023925484,0.007814192,0.019994551,0.041940827,0.07433698,0.11365882,0.15222883,0.1807617,0.19248687,0.18591435,0.16524254,0.13864265,0.11783307,0.117892,0.15469156,0.23646604,0.35571668,0.4884944,0.60501534,0.68113685,0.7053563,0.6787851,0.61419016,0.532262,0.45228386,0.38472882,0.32829273,0.27909842,0.23436554,0.19490387,0.15955888,0.1269417,0.09631739,0.07013947,0.051101983,0.039985135,0.03452987,0.031499486,0.028442549,0.024735846,0.020922022,0.01796744,0.0162714,0.015628614,0.015384869,0.016179496,0.022003502,0.042157173,0.08827356,0.16593091,0.26589468,0.36489978,0.43895647,0.47768128,0.4875853,0.48190475,0.46984103,0.4531156,0.42924893,0.39463687,0.34700254,0.28834924,0.22704035,0.17493999,0.14107764,0.12789913,0.13384734,0.15815967,0.20197898,0.2626662,0.3286991,0.38008174,0.3998359,0.3845221,0.3475925,0.30920008,0.2837743,0.275437,0.28001794,0.29281747,0.30804053,0.32194293,0.33005652,0.33038017,0.32021958,0.29740348,0.2620822,0.21975064,0.18003583,0.15009645,0.13233727,0.12575568,0.13137196,0.15048517,0.18122496,0.21508557,0.24196637,0.25613102,0.25961992,0.25803745,0.25660625,0.25863484,0.2676994,0.2854651,0.30948743,0.33144203,0.34321603,0.3409038,0.32726112,0.3079683,0.28962183,0.2775623,0.2747908,0.2801731,0.28895772,0.29523358,0.2950349,0.28594145,0.26615158,0.23404044,0.19159116,0.14521761,0.10405457,0.07459749,0.059079904,0.056187153,0.06445423,0.082445145,0.1083169,0.13818836,0.16749819,0.19257604,0.21192288,0.22584158,0.2358293,0.24513479,0.25746027,0.2749622,0.29559326,0.31488892,0.32924855,0.3379899,0.3416475,0.3389448,0.32741034,0.30560324,0.2757259,0.2411897,0.20446883,0.16610645,0.12773342,0.093101084,0.06647731,0.04925807,0.039335173,0.03323709,0.028824726,0.025709227,0.024805374,0.027800342,0.03760396,0.05608638,0.08101966,0.10449722,0.117568344,0.117014766,0.10803295,0.09994193,0.09880784,0.1045341,0.112710245,0.11932648,0.122829415,0.12399214,0.1239745,0.12327412,0.121671565,0.11896607,0.11562621,0.11260817,0.110920735,0.110940754,0.11241409,0.11458215,0.11668243,0.11811129,0.11840572,0.11679899,0.112122655,0.10317544,0.08987396,0.07380789,0.057853553,0.044849526,0.03688771,0.035515826,0.04142457,0.05310593,0.06557629,0.072271176,0.06971416,0.061426375,0.05748683,0.06868509,0.10019501,0.14825581,0.20348966,0.2560803,0.29924643,0.32811305,0.33819282,0.32666552,0.29504117,0.25046745,0.20266922,0.16059284,0.12886702,0.10791066,0.09488425,0.08715313,0.08425648,0.08895063,0.104850434,0.1331367,0.16937117,0.20474106,0.23075084,0.24440406,0.24833882,0.24702622,0.24399863,0.24251156,0.24752323,0.26318356,0.28907058,0.31812966,0.3410438,0.3516715,0.35002288,0.34084344,0.3297826,0.32111797,0.31612548,0.31379023,0.31143627,0.30601597,0.2959931,0.28044084,0.25935742,0.23120303,0.19637878,0.15737198,0.12013432,0.08949848,0.06770044,0.053599775,0.04517146,0.040834893,0.04040811,0.044644088,0.054506272,0.0703324,0.091815956,0.11819314,0.14785968,0.17817114,0.20590407,0.22906119,0.24737658,0.26114604,0.2687999,0.2661067,0.24896191,0.2170829,0.176625,0.13694121,0.10627297,0.08727416,0.0780834,0.07429262,0.072037004,0.06852207,0.06308104,0.057777468,0.058430854,0.073104315,0.10775509,0.16074423,0.22026359,0.26998624,0.29706576,0.30010113,0.28502753,0.2610193,0.23307352,0.20576443,0.1818579,0.1639482,0.14958213,0.13434708,0.114950694,0.09436601,0.08040458,0.081705034,0.10186545,0.1369615,0.17649311,0.20935087,0.22869796,0.2341937,0.22871651,0.21554507,0.1978571,0.17960006,0.16541515,0.15739961,0.15407796,0.15109766,0.14517884,0.13604248,0.12630735,0.11854881,0.11288777,0.106845826,0.09877258,0.091086976,0.08964712,0.09779001,0.111350715,0.12001127,0.11552062,0.097864054,0.07449432,0.05351183,0.038866162,0.030449815,0.026856745,0.027418783,0.031813964,0.039648447,0.049885873,0.061362028,0.07285839,0.08300667,0.08978162,0.0914877,0.088915356,0.08769539,0.095570706,0.11681762,0.14646924,0.17318995,0.18693925,0.18623526,0.17713046,0.16711794,0.16010357,0.1559001,0.15272246,0.14891744,0.14322925,0.13477631,0.12331072,0.11041412,0.098874,0.09149626,0.088662155,0.08914559,0.09155042,0.09622971,0.10328353,0.11080345,0.11435726,0.110165946,0.097646065,0.07994747,0.06180361,0.0471769,0.03780185,0.03304321,0.030862002,0.02928634,0.027529394,0.025841609,0.02453904,0.023390433,0.021833746,0.019825786,0.017849742,0.01655212,0.016010094,0.015820427,0.015546262,0.015001819,0.014269178,0.013242882,0.011802591,0.009872708,0.0078466935,0.006486936,0.007253164,0.012718207,0.026492724,0.05140494,0.086523734,0.12616234,0.16252196,0.19010703,0.20761503,0.21599872,0.21626644,0.20888783,0.19523491,0.17718029,0.15661795,0.13469146,0.11281363,0.09261941,0.07580569,0.06414319,0.0607512,0.0702759,0.09577534,0.13477923,0.17825465,0.21604782,0.24241114,0.2580587,0.2661059,0.26900014,0.2681168,0.264527,0.2582941,0.24612482,0.22354509,0.18831883,0.1448713,0.10169462,0.06739421,0.046026155,0.037637815,0.039371137,0.046834826,0.0544585,0.05829672,0.059106853,0.06267619,0.07454309,0.09486765,0.11767698,0.13625677,0.14705789,0.15054317,0.14850642,0.14341466,0.13787906,0.1342637,0.13315855,0.13353021,0.13399492,0.13407902,0.13398443,0.13391864,0.13379408,0.1334584,0.13261966,0.13085298,0.12748258,0.12194576,0.113568924,0.10204845,0.08754504,0.07142023,0.0557061,0.04264608,0.033852983,0.030114138,0.03154679,0.037272528,0.045333598,0.052366644,0.055503543,0.054720525,0.054211784,0.0596904,0.072959505,0.089357056,0.10029518,0.10027934,0.09008298,0.07547888,0.06239679,0.054892357,0.054862916,0.06238532,0.07497447,0.08799237,0.09676609,0.09916932,0.09613528,0.09010822,0.083034866,0.07578197,0.0688859,0.06308553,0.059362307,0.057818223,0.057745397,0.057448592,0.05593658,0.053234678,0.05085807,0.05020942,0.051401537,0.0530251,0.05293098,0.050222997,0.045313627,0.04026854,0.03685561,0.036360636,0.038606968,0.042823832,0.04762493,0.051594555,0.05342434,0.052270923,0.04825588,0.04220881,0.03566285,0.029546564,0.024316035,0.01940627,0.014610701,0.009885974,0.0058802557,0.0029418326,0.0012230214,0.00039326295,0.00010193524,2.4992432E-05,1.5405183E-05,1.33434905E-05,1.148391E-05,9.144129E-06,6.511147E-06,3.9685024E-06,2.0084256E-06,7.9611476E-07,2.308534E-07,4.1335255E-08,2.6298348E-09,9.164478E-11,2.8239572E-13,1.1273635E-17,0,0,0]