// AUTOGENERATED from runtime capture handoff/rt*.npy (NOTES_CAPTURE 2026-08-19).
// Do not edit by hand; regenerate with handoff/emit_tables.py.
#pragma once
#include <cstddef>
#include <cstdint>

constexpr size_t WIN_WINDOW_COUNT = 8193;
const float WIN_WINDOW[8193] = {
  0.50000006, 0.500232577, 0.500465035, 0.500697255, 0.500929356, 0.501161277, 0.501393139, 0.501624763,
  0.501856267, 0.502087593, 0.50231874, 0.502549767, 0.502780676, 0.503011405, 0.503241956, 0.503472328,
  0.503702581, 0.503932714, 0.504162669, 0.504392445, 0.504622102, 0.50485158, 0.505080938, 0.505310118,
  0.505539238, 0.50576812, 0.505996823, 0.506225407, 0.506453872, 0.506682158, 0.506910324, 0.507138312,
  0.507366121, 0.507593811, 0.507821381, 0.508048773, 0.508275986, 0.508503139, 0.508730054, 0.50895685,
  0.509183526, 0.509410024, 0.509636402, 0.509862602, 0.510088623, 0.510314584, 0.510540366, 0.51076597,
  0.510991454, 0.51121676, 0.511441946, 0.511667013, 0.511891901, 0.512116671, 0.512341261, 0.512565732,
  0.512789965, 0.513014197, 0.513238192, 0.513462067, 0.513685822, 0.5139094, 0.514132798, 0.514356136,
  0.514579296, 0.514802337, 0.515025198, 0.515247881, 0.515470505, 0.515692949, 0.515915275, 0.516137421,
  0.516359448, 0.516581297, 0.516803086, 0.517024636, 0.517246127, 0.517467439, 0.517688632, 0.517909586,
  0.518130481, 0.518351257, 0.518571854, 0.518792331, 0.51901269, 0.519232869, 0.519452929, 0.519672811,
  0.519892573, 0.520112216, 0.52033174, 0.520551026, 0.520770252, 0.520989358, 0.521208286, 0.521427095,
  0.521645784, 0.521864295, 0.522082686, 0.522300959, 0.522519052, 0.522737026, 0.522954822, 0.523172557,
  0.523390174, 0.523607612, 0.52382493, 0.52404207, 0.524259031, 0.524475932, 0.524692714, 0.524909317,
  0.525125802, 0.525342166, 0.525558412, 0.525774479, 0.525990427, 0.526206255, 0.526421905, 0.526637435,
  0.526852846, 0.527068138, 0.527283251, 0.527498305, 0.52771318, 0.527927876, 0.528142512, 0.528357029,
  0.528571367, 0.528785586, 0.528999686, 0.529213607, 0.529427469, 0.529641151, 0.529854655, 0.530068099,
  0.530281425, 0.530494571, 0.530707598, 0.530920506, 0.531133294, 0.531345904, 0.531558454, 0.531770825,
  0.531983078, 0.53219521, 0.532407224, 0.532619119, 0.532830834, 0.533042371, 0.533253849, 0.533465266,
  0.533676445, 0.533887565, 0.534098506, 0.534309328, 0.53452003, 0.534730673, 0.534941077, 0.535151422,
  0.535361588, 0.535571694, 0.535781622, 0.53599143, 0.536201119, 0.536410689, 0.53662014, 0.536829412,
  0.537038624, 0.537247717, 0.537456691, 0.537665427, 0.537874103, 0.538082719, 0.538291097, 0.538499415,
  0.538707614, 0.538915634, 0.539123595, 0.539331377, 0.539539099, 0.539746642, 0.539954126, 0.540161431,
  0.540368557, 0.540575683, 0.54078263, 0.540989399, 0.541196108, 0.541402698, 0.541609168, 0.54181546,
  0.542021692, 0.542227745, 0.542433739, 0.542639554, 0.542845309, 0.543050885, 0.543256342, 0.54346174,
  0.543666959, 0.543872058, 0.544077039, 0.5442819, 0.544486642, 0.544691324, 0.544895768, 0.545100212,
  0.545304477, 0.545508623, 0.54571265, 0.545916557, 0.546120286, 0.546324015, 0.546527505, 0.546730936,
  0.546934307, 0.547137499, 0.547340512, 0.547543466, 0.547746301, 0.547949076, 0.548151672, 0.548354089,
  0.548556507, 0.548758745, 0.548960865, 0.549162865, 0.549364805, 0.549566507, 0.549768209, 0.549969733,
  0.550171137, 0.550372481, 0.550573707, 0.550774753, 0.55097568, 0.551176488, 0.551377296, 0.551577866,
  0.551778376, 0.551978767, 0.552178979, 0.552379131, 0.552579224, 0.552779138, 0.552978933, 0.553178608,
  0.553378165, 0.553577602, 0.553776979, 0.553976238, 0.554175377, 0.554374337, 0.554573238, 0.55477196,
  0.554970682, 0.555169225, 0.555367589, 0.555565894, 0.555764139, 0.555962205, 0.556160271, 0.556358099,
  0.556555867, 0.556753457, 0.556950986, 0.557148457, 0.557345748, 0.55754292, 0.557739973, 0.557936966,
  0.558133841, 0.558330595, 0.558527291, 0.558723807, 0.558920145, 0.559116483, 0.559312642, 0.559508801,
  0.559704721, 0.559900582, 0.560096323, 0.560292006, 0.560487509, 0.560682893, 0.560878217, 0.561073422,
  0.561268508, 0.561463535, 0.561658382, 0.561853111, 0.56204778, 0.562242329, 0.562436759, 0.562631071,
  0.562825322, 0.563019454, 0.563213468, 0.563407302, 0.563601077, 0.563794792, 0.563988328, 0.564181864,
  0.564375162, 0.5645684, 0.564761579, 0.564954579, 0.565147519, 0.56534034, 0.565533042, 0.565725625,
  0.565918148, 0.566110551, 0.566302836, 0.566495001, 0.566686988, 0.566879034, 0.567070901, 0.56726265,
  0.567454278, 0.567645848, 0.567837238, 0.568028569, 0.568219781, 0.568410933, 0.568601966, 0.56879288,
  0.568983674, 0.569174349, 0.569364965, 0.569555402, 0.569745898, 0.569936156, 0.570126295, 0.570316374,
  0.570506334, 0.570696235, 0.570885956, 0.571075618, 0.571265161, 0.571454644, 0.571644008, 0.571833253,
  0.572022378, 0.572211444, 0.572400331, 0.572589159, 0.572777927, 0.572966576, 0.573155105, 0.573343456,
  0.573531806, 0.573720038, 0.57390815, 0.574096203, 0.574284136, 0.574471951, 0.574659586, 0.574847221,
  0.575034738, 0.575222194, 0.575409412, 0.57559669, 0.575783789, 0.575970769, 0.576157689, 0.57634449,
  0.576531231, 0.576717794, 0.576904297, 0.577090681, 0.577277005, 0.57746321, 0.577649295, 0.577835321,
  0.578021228, 0.578207016, 0.578392744, 0.578578353, 0.578763902, 0.578949273, 0.579134583, 0.579319775,
  0.579504907, 0.57968992, 0.579874754, 0.580059648, 0.580244362, 0.580428958, 0.580613494, 0.580797911,
  0.580982268, 0.581166446, 0.581350625, 0.581534624, 0.581718564, 0.581902444, 0.582086146, 0.582269788,
  0.58245337, 0.582636774, 0.582820117, 0.583003402, 0.583186567, 0.583369613, 0.583552599, 0.583735466,
  0.583918273, 0.584100902, 0.584283531, 0.584465981, 0.584648371, 0.584830701, 0.585012853, 0.585195005,
  0.585376978, 0.585558951, 0.585740745, 0.58592242, 0.586104035, 0.586285591, 0.586467028, 0.586648345,
  0.586829662, 0.587010801, 0.58719188, 0.587372839, 0.58755368, 0.587734461, 0.587915182, 0.588095725,
  0.588276267, 0.588456631, 0.588636935, 0.588817179, 0.588997304, 0.58917731, 0.589357257, 0.589537084,
  0.589716852, 0.5898965, 0.590076089, 0.590255558, 0.590434909, 0.5906142, 0.590793371, 0.590972483,
  0.591151476, 0.591330409, 0.591509283, 0.591687977, 0.591866612, 0.592045188, 0.592223644, 0.592401981,
  0.592580259, 0.592758417, 0.592936516, 0.593114495, 0.593292475, 0.593470275, 0.593647957, 0.593825638,
  0.594003141, 0.594180584, 0.594358027, 0.594535232, 0.594712436, 0.594889522, 0.595066547, 0.595243394,
  0.595420301, 0.595597029, 0.595773637, 0.595950186, 0.596126676, 0.596302986, 0.596479297, 0.596655488,
  0.59683156, 0.597007632, 0.597183526, 0.597359359, 0.597535133, 0.597710788, 0.597886384, 0.59806186,
  0.598237276, 0.598412514, 0.598587751, 0.59876287, 0.598937929, 0.599112868, 0.599287748, 0.599462509,
  0.59963721, 0.599811792, 0.599986315, 0.600160718, 0.600335062, 0.600509346, 0.600683451, 0.600857556,
  0.601031542, 0.601205468, 0.601379275, 0.601552963, 0.601726651, 0.60190016, 0.602073669, 0.602247059,
  0.60242033, 0.602593482, 0.602766633, 0.602939665, 0.603112638, 0.603285491, 0.603458285, 0.60363096,
  0.603803575, 0.603976071, 0.604148507, 0.604320884, 0.604493141, 0.604665279, 0.604837358, 0.605009437,
  0.605181336, 0.605353177, 0.605524898, 0.605696619, 0.605868161, 0.606039643, 0.606211066, 0.60638243,
  0.606553674, 0.606724799, 0.606895864, 0.60706687, 0.607237756, 0.607408643, 0.60757935, 0.607750058,
  0.607920587, 0.608091056, 0.608261466, 0.608431816, 0.608601987, 0.608772159, 0.608942211, 0.609112263,
  0.609282136, 0.60945195, 0.609621704, 0.609791338, 0.609960914, 0.610130429, 0.610299826, 0.610469162,
  0.61063838, 0.610807538, 0.610976636, 0.611145616, 0.611314535, 0.611483395, 0.611652136, 0.611820817,
  0.611989379, 0.612157881, 0.612326324, 0.612494648, 0.612662911, 0.612831056, 0.612999141, 0.613167226,
  0.613335133, 0.613502979, 0.613670707, 0.613838434, 0.614006042, 0.614173591, 0.614341021, 0.61450839,
  0.614675641, 0.614842892, 0.615009964, 0.615177035, 0.615344048, 0.615510881, 0.615677655, 0.615844429,
  0.616011024, 0.616177619, 0.616344094, 0.61651051, 0.616676867, 0.616843104, 0.617009282, 0.617175341,
  0.61734134, 0.617507279, 0.617673099, 0.617838919, 0.61800462, 0.618170202, 0.618335724, 0.618501186,
  0.61866653, 0.618831813, 0.618997037, 0.619162202, 0.619327247, 0.619492233, 0.619657159, 0.619822025,
  0.619986713, 0.620151401, 0.620315969, 0.620480478, 0.620644927, 0.620809317, 0.620973587, 0.621137798,
  0.621301949, 0.621465981, 0.621629953, 0.621793807, 0.62195766, 0.622121334, 0.622285008, 0.622448623,
  0.622612119, 0.622775555, 0.622938931, 0.623102188, 0.623265386, 0.623428464, 0.623591602, 0.623754501,
  0.62391746, 0.624080241, 0.624243021, 0.624405622, 0.624568224, 0.624730706, 0.624893188, 0.625055552,
  0.625217795, 0.625380039, 0.625542164, 0.625704229, 0.625866175, 0.626028121, 0.626189947, 0.626351714,
  0.626513362, 0.62667501, 0.626836538, 0.626998007, 0.627159357, 0.627320647, 0.627481878, 0.627643049,
  0.627804101, 0.627965152, 0.628126085, 0.628286898, 0.628447711, 0.628608465, 0.62876904, 0.628929615,
  0.629090071, 0.629250526, 0.629410863, 0.62957114, 0.629731297, 0.629891455, 0.630051494, 0.630211413,
  0.630371332, 0.630531192, 0.630690932, 0.630850613, 0.631010175, 0.631169736, 0.631329179, 0.631488562,
  0.631647825, 0.631807089, 0.631966233, 0.632125318, 0.632284403, 0.632443368, 0.632602215, 0.632761002,
  0.632919729, 0.633078337, 0.633236945, 0.633395433, 0.633553863, 0.633712232, 0.633870542, 0.634028792,
  0.634186924, 0.634344995, 0.634503007, 0.6346609, 0.634818792, 0.634976625, 0.63513428, 0.635291934,
  0.635449529, 0.635607004, 0.63576442, 0.635921836, 0.636079133, 0.63623637, 0.636393487, 0.636550546,
  0.636707544, 0.636864483, 0.637021363, 0.637178123, 0.637334824, 0.637491524, 0.637648106, 0.637804568,
  0.63796109, 0.638117433, 0.638273716, 0.63842994, 0.638586104, 0.638742149, 0.638898194, 0.639054179,
  0.639210045, 0.639365852, 0.639521599, 0.639677227, 0.639832854, 0.639988363, 0.640143812, 0.640299201,
  0.64045459, 0.640609801, 0.640764952, 0.640920103, 0.641075134, 0.641230106, 0.641385019, 0.641539872,
  0.641694605, 0.641849279, 0.642003953, 0.642158508, 0.642313004, 0.642467439, 0.642621815, 0.642776072,
  0.642930269, 0.643084407, 0.643238485, 0.643392503, 0.643546462, 0.643700361, 0.643854141, 0.644007921,
  0.644161522, 0.644315124, 0.644468665, 0.644622147, 0.644775569, 0.644928932, 0.645082176, 0.645235419,
  0.645388484, 0.645541549, 0.645694554, 0.64584744, 0.646000326, 0.646153152, 0.646305859, 0.646458507,
  0.646611154, 0.646763623, 0.646916151, 0.647068501, 0.64722079, 0.64737308, 0.647525251, 0.647677362,
  0.647829413, 0.647981405, 0.648133337, 0.64828521, 0.648437023, 0.648588717, 0.648740411, 0.648891985,
  0.6490435, 0.649194956, 0.649346411, 0.649497688, 0.649648964, 0.649800181, 0.649951279, 0.650102377,
  0.650253415, 0.650404334, 0.650555134, 0.650705934, 0.650856733, 0.651007414, 0.651157916, 0.651308477,
  0.651459038, 0.651609421, 0.651759744, 0.651910067, 0.65206027, 0.652210474, 0.652360499, 0.652510524,
  0.652660489, 0.652810395, 0.652960181, 0.653109968, 0.653259635, 0.653409302, 0.65355885, 0.653708398,
  0.653857827, 0.654007196, 0.654156506, 0.654305756, 0.654454947, 0.654604077, 0.654753089, 0.654902101,
  0.655051053, 0.655199885, 0.655348718, 0.655497432, 0.655646145, 0.65579474, 0.655943274, 0.65609175,
  0.656240165, 0.656388521, 0.656536818, 0.656685054, 0.656833231, 0.656981349, 0.657129347, 0.657277346,
  0.657425284, 0.657573104, 0.657720864, 0.657868624, 0.658016264, 0.658163905, 0.658311427, 0.658458889,
  0.658606291, 0.658753693, 0.658900976, 0.6590482, 0.659195364, 0.659342408, 0.659489512, 0.659636438,
  0.659783363, 0.659930229, 0.660077035, 0.660223722, 0.660370409, 0.660517037, 0.660663545, 0.660810053,
  0.660956442, 0.661102772, 0.661249101, 0.661395311, 0.661541462, 0.661687613, 0.661833644, 0.661979675,
  0.662125587, 0.66227144, 0.662417293, 0.662563026, 0.6627087, 0.662854314, 0.662999868, 0.663145363,
  0.663290799, 0.663436174, 0.663581491, 0.663726747, 0.663871944, 0.664017081, 0.664162159, 0.664307177,
  0.664452136, 0.664596975, 0.664741814, 0.664886594, 0.665031314, 0.665175974, 0.665320575, 0.665465117,
  0.665609539, 0.665753961, 0.665898323, 0.666042626, 0.666186869, 0.666330993, 0.666475177, 0.666619182,
  0.666763186, 0.666907072, 0.667050958, 0.667194784, 0.66733855, 0.667482257, 0.667625904, 0.667769432,
  0.66791296, 0.668056369, 0.668199778, 0.668343127, 0.668486416, 0.668629646, 0.668772817, 0.668915868,
  0.669058919, 0.66920197, 0.669344902, 0.669487715, 0.669630527, 0.669773281, 0.669915974, 0.670058608,
  0.670201182, 0.670343697, 0.670486152, 0.670628548, 0.670770884, 0.67091316, 0.671055377, 0.671197534,
  0.671339631, 0.671481729, 0.671623707, 0.671765625, 0.671907485, 0.672049344, 0.672191083, 0.672332764,
  0.672474444, 0.672616065, 0.672757506, 0.672899008, 0.67304039, 0.673181772, 0.673323035, 0.673464298,
  0.673605502, 0.673746645, 0.67388767, 0.674028695, 0.67416966, 0.674310565, 0.674451411, 0.674592137,
  0.674732924, 0.674873531, 0.675014138, 0.675154746, 0.675295234, 0.675435662, 0.675576091, 0.6757164,
  0.675856709, 0.6759969, 0.67613703, 0.676277101, 0.676417112, 0.676557124, 0.676697075, 0.676836967,
  0.6769768, 0.677116573, 0.677256286, 0.67739594, 0.677535474, 0.677675009, 0.677814543, 0.677953959,
  0.678093314, 0.67823261, 0.678371906, 0.678511083, 0.67865026, 0.678789318, 0.678928375, 0.679067373,
  0.679206312, 0.679345131, 0.67948395, 0.67962271, 0.67976141, 0.67990005, 0.680038631, 0.680177212,
  0.680315673, 0.680454135, 0.680592477, 0.68073082, 0.680869043, 0.681007266, 0.68114543, 0.681283474,
  0.681421518, 0.681559503, 0.681697488, 0.681835353, 0.681973159, 0.682110965, 0.682248652, 0.682386339,
  0.682523906, 0.682661474, 0.682798982, 0.68293637, 0.683073759, 0.683211088, 0.683348358, 0.683485627,
  0.683622777, 0.683759868, 0.683896959, 0.68403393, 0.684170902, 0.684307814, 0.684444666, 0.684581459,
  0.684718192, 0.684854865, 0.684991479, 0.685128093, 0.685264587, 0.685401082, 0.685537517, 0.685673833,
  0.685810149, 0.685946405, 0.686082602, 0.686218739, 0.686354816, 0.686490893, 0.686626911, 0.68676281,
  0.686898708, 0.687034547, 0.687170327, 0.687306046, 0.687441707, 0.687577307, 0.687712848, 0.687848389,
  0.687983871, 0.688119233, 0.688254595, 0.688389897, 0.68852514, 0.688660383, 0.688795507, 0.688930571,
  0.689065635, 0.68920058, 0.689335525, 0.68947041, 0.689605236, 0.689740002, 0.689874768, 0.690009415,
  0.690144062, 0.69027859, 0.690413058, 0.690547585, 0.690681994, 0.690816343, 0.690950632, 0.691084862,
  0.691219091, 0.691353261, 0.691487372, 0.691621423, 0.691755414, 0.691889346, 0.692023218, 0.69215703,
  0.692290843, 0.692424595, 0.692558289, 0.692691922, 0.692825496, 0.692959011, 0.693092525, 0.69322598,
  0.693359315, 0.693492651, 0.693625927, 0.693759143, 0.6938923, 0.694025457, 0.694158494, 0.694291532,
  0.69442451, 0.694557428, 0.694690287, 0.694823086, 0.694955945, 0.695088565, 0.695221245, 0.695353866,
  0.695486426, 0.695618927, 0.695751369, 0.69588387, 0.696016192, 0.696148515, 0.696280777, 0.696412981,
  0.696545124, 0.696677268, 0.696809292, 0.696941316, 0.697073281, 0.697205126, 0.697337031, 0.697468817,
  0.697600603, 0.697732329, 0.697863996, 0.697995543, 0.698127091, 0.698258638, 0.698390126, 0.698521495,
  0.698652864, 0.698784173, 0.698915422, 0.699046671, 0.699177861, 0.699308991, 0.699440062, 0.699571013,
  0.699701965, 0.699832916, 0.699963748, 0.700094581, 0.700225294, 0.700356007, 0.70048672, 0.700617373,
  0.700747907, 0.700878501, 0.701008916, 0.701139331, 0.701269686, 0.701400101, 0.701530278, 0.701660514,
  0.70179075, 0.701920867, 0.702050924, 0.702180982, 0.70231092, 0.702440917, 0.702570796, 0.702700615,
  0.702830374, 0.702960134, 0.703089833, 0.703219473, 0.703349113, 0.703478694, 0.703608155, 0.703737617,
  0.703867018, 0.70399636, 0.704125702, 0.704254925, 0.704384148, 0.704513252, 0.704642415, 0.704771459,
  0.704900503, 0.705029488, 0.705158412, 0.705287278, 0.705416083, 0.705544889, 0.705673635, 0.705802262,
  0.705930889, 0.706059575, 0.706188023, 0.70631659, 0.706444979, 0.706573367, 0.706701756, 0.706830084,
  0.706958294, 0.707086563, 0.707214713, 0.707342863, 0.707470894, 0.707598865, 0.707726836, 0.707854748,
  0.707982659, 0.708110571, 0.708238304, 0.708366036, 0.708493769, 0.708621383, 0.708748937, 0.70887655,
  0.709004045, 0.709131479, 0.709258914, 0.709386289, 0.709513605, 0.709640861, 0.709768057, 0.709895253,
  0.71002239, 0.710149467, 0.710276544, 0.710403502, 0.7105304, 0.710657299, 0.710784197, 0.710910976,
  0.711037755, 0.711164534, 0.711291194, 0.711417735, 0.711544335, 0.711670876, 0.711797357, 0.711923778,
  0.7120502, 0.712176502, 0.712302864, 0.712429106, 0.712555349, 0.712681472, 0.712807536, 0.7129336,
  0.713059604, 0.713185608, 0.713311613, 0.713437438, 0.713563263, 0.713689089, 0.713814855, 0.713940561,
  0.714066207, 0.714191794, 0.714317381, 0.714442909, 0.714568377, 0.714693785, 0.714819193, 0.714944541,
  0.71506989, 0.715195119, 0.715320289, 0.715445459, 0.715570629, 0.715695679, 0.71582067, 0.715945661,
  0.716070592, 0.716195524, 0.716320336, 0.716445148, 0.716569901, 0.716694593, 0.716819286, 0.71694392,
  0.717068493, 0.717193007, 0.717317522, 0.717441916, 0.717566371, 0.717690706, 0.717815042, 0.717939258,
  0.718063533, 0.71818769, 0.718311846, 0.718435943, 0.71855998, 0.718683958, 0.718807876, 0.718931794,
  0.719055712, 0.719179451, 0.71930331, 0.71942699, 0.719550729, 0.719674349, 0.719798028, 0.719921529,
  0.72004503, 0.720168531, 0.720291972, 0.720415294, 0.720538616, 0.720661998, 0.72078526, 0.720908403,
  0.721031606, 0.72115469, 0.721277773, 0.721400857, 0.721523821, 0.721646726, 0.721769631, 0.721892476,
  0.722015321, 0.722138107, 0.722260833, 0.722383559, 0.722506166, 0.722628832, 0.722751319, 0.722873867,
  0.722996354, 0.723118782, 0.72324115, 0.723363459, 0.723485768, 0.723608017, 0.723730206, 0.723852396,
  0.723974526, 0.724096656, 0.724218667, 0.724340677, 0.724462628, 0.72458446, 0.724706411, 0.724828184,
  0.724950016, 0.725071728, 0.725193381, 0.725315094, 0.725436687, 0.725558281, 0.725679815, 0.725801289,
  0.725922644, 0.726044178, 0.726165473, 0.726286829, 0.726408064, 0.7265293, 0.726650476, 0.726771653,
  0.726892769, 0.727013886, 0.727134883, 0.727255821, 0.727376759, 0.727497637, 0.727618575, 0.727739334,
  0.727860093, 0.727980793, 0.728101492, 0.728222072, 0.728342712, 0.728463292, 0.728583813, 0.728704274,
  0.728824735, 0.728945076, 0.729065418, 0.7291857, 0.729305983, 0.729426265, 0.729546428, 0.729666591,
  0.729786694, 0.729906678, 0.730026722, 0.730146706, 0.73026669, 0.730386496, 0.730506361, 0.730626225,
  0.730745971, 0.730865717, 0.730985403, 0.73110497, 0.731224597, 0.731344223, 0.73146373, 0.731583178,
  0.731702626, 0.731822014, 0.731941402, 0.732060671, 0.73217994, 0.732299209, 0.732418418, 0.732537568,
  0.732656658, 0.732775688, 0.732894838, 0.733013749, 0.73313272, 0.733251572, 0.733370543, 0.733489335,
  0.733608127, 0.733726799, 0.733845532, 0.733964205, 0.734082818, 0.734201431, 0.734319925, 0.734438479,
  0.734556913, 0.734675348, 0.734793723, 0.734912097, 0.735030413, 0.735148609, 0.735266864, 0.735385001,
  0.735503197, 0.735621274, 0.73573935, 0.735857308, 0.735975385, 0.736093223, 0.736211121, 0.736329019,
  0.736446857, 0.736564636, 0.736682355, 0.736800075, 0.736917734, 0.737035334, 0.737152874, 0.737270474,
  0.737387955, 0.737505436, 0.737622797, 0.737740159, 0.73785758, 0.737974823, 0.738092124, 0.738209367,
  0.73832655, 0.738443613, 0.738560796, 0.738677859, 0.738794923, 0.738911867, 0.739028752, 0.739145696,
  0.739262581, 0.739379406, 0.739496171, 0.739612997, 0.739729643, 0.739846349, 0.739962995, 0.740079582,
  0.740196049, 0.740312636, 0.740429103, 0.740545571, 0.740661919, 0.740778327, 0.740894616, 0.741010845,
  0.741127133, 0.741243362, 0.741359472, 0.741475642, 0.741591692, 0.741707742, 0.741823792, 0.741939723,
  0.742055714, 0.742171586, 0.742287397, 0.742403269, 0.742519021, 0.742634714, 0.742750466, 0.742866158,
  0.742981732, 0.743097305, 0.743212819, 0.743328393, 0.743443847, 0.743559241, 0.743674636, 0.74379003,
  0.743905365, 0.744020581, 0.744135857, 0.744251013, 0.744366229, 0.744481385, 0.744596422, 0.744711518,
  0.744826496, 0.744941473, 0.745056391, 0.745171309, 0.745286107, 0.745401025, 0.745515764, 0.745630443,
  0.745745182, 0.745859921, 0.745974481, 0.746089101, 0.746203661, 0.746318161, 0.746432662, 0.746547103,
  0.746661544, 0.746775806, 0.746890247, 0.747004509, 0.747118771, 0.747232974, 0.747347116, 0.747461259,
  0.747575343, 0.747689486, 0.74780345, 0.747917533, 0.748031437, 0.748145401, 0.748259246, 0.748373032,
  0.748486876, 0.748600662, 0.748714387, 0.748828053, 0.74894172, 0.749055386, 0.749168932, 0.749282479,
  0.749395967, 0.749509454, 0.749622881, 0.749736249, 0.749849677, 0.749962986, 0.750076294, 0.750189543,
  0.750302672, 0.750415921, 0.750528991, 0.75064218, 0.75075525, 0.750868201, 0.750981212, 0.751094162,
  0.751207113, 0.751320004, 0.751432836, 0.751545608, 0.75165838, 0.751771092, 0.751883864, 0.751996517,
  0.75210917, 0.752221644, 0.752334237, 0.75244683, 0.752559304, 0.752671719, 0.752784133, 0.752896488,
  0.753008783, 0.753121078, 0.753233314, 0.753345668, 0.753457785, 0.753569901, 0.753682017, 0.753794134,
  0.75390619, 0.754018188, 0.754130185, 0.754242063, 0.754354, 0.754465818, 0.754577756, 0.754689455,
  0.754801214, 0.754912972, 0.755024612, 0.755136311, 0.755247891, 0.755359471, 0.755470932, 0.755582511,
  0.755693913, 0.755805433, 0.755916774, 0.756028175, 0.756139517, 0.756250739, 0.756362021, 0.756473243,
  0.756584406, 0.756695569, 0.756806672, 0.756917715, 0.757028818, 0.757139802, 0.757250845, 0.75736171,
  0.757472575, 0.757583499, 0.757694304, 0.757805049, 0.757915914, 0.7580266, 0.758137226, 0.758247912,
  0.758358479, 0.758469164, 0.758579671, 0.758690178, 0.758800685, 0.758911073, 0.759021521, 0.759131849,
  0.759242177, 0.759352505, 0.759462774, 0.759573042, 0.759683192, 0.759793341, 0.75990355, 0.760013521,
  0.76012361, 0.760233641, 0.760343611, 0.760453641, 0.760563493, 0.760673404, 0.760783255, 0.760893106,
  0.761002839, 0.761112571, 0.761222243, 0.761331916, 0.761441588, 0.761551201, 0.761660814, 0.761770308,
  0.761879802, 0.761989236, 0.76209873, 0.762208104, 0.762317538, 0.762426794, 0.762536108, 0.762645364,
  0.76275456, 0.762863815, 0.762972891, 0.763082087, 0.763191104, 0.76330018, 0.763409197, 0.763518214,
  0.763627112, 0.763736069, 0.763844907, 0.763953865, 0.764062583, 0.764171362, 0.76428014, 0.7643888,
  0.764497578, 0.764606178, 0.764714837, 0.764823377, 0.764931977, 0.765040398, 0.765148878, 0.765257359,
  0.765365779, 0.765474141, 0.765582442, 0.765690804, 0.765798986, 0.765907228, 0.76601541, 0.766123712,
  0.766231775, 0.766339898, 0.766448021, 0.766556025, 0.766664028, 0.766771972, 0.766879916, 0.766987741,
  0.767095685, 0.767203569, 0.767311335, 0.7674191, 0.767526865, 0.767634511, 0.767742217, 0.767849803,
  0.767957449, 0.768065035, 0.768172562, 0.768280089, 0.768387496, 0.768494964, 0.768602371, 0.768709719,
  0.768817067, 0.768924356, 0.769031644, 0.769138873, 0.769246101, 0.769353271, 0.76946038, 0.76956749,
  0.769674599, 0.769781649, 0.769888639, 0.76999557, 0.770102501, 0.770209372, 0.770316303, 0.770423174,
  0.770529926, 0.770636737, 0.77074343, 0.770850182, 0.770956814, 0.771063507, 0.77117008, 0.771276712,
  0.771383226, 0.771489739, 0.771596193, 0.771702647, 0.771809101, 0.771915436, 0.77202183, 0.772128105,
  0.77223444, 0.772340655, 0.77244693, 0.772553146, 0.772659242, 0.772765338, 0.772871435, 0.772977591,
  0.773083568, 0.773189545, 0.773295462, 0.773401439, 0.773507297, 0.773613214, 0.773719013, 0.773824811,
  0.773930609, 0.774036348, 0.774142087, 0.774247646, 0.774353385, 0.774458885, 0.774564505, 0.774670064,
  0.774775565, 0.774881005, 0.774986506, 0.775091946, 0.775197268, 0.775302649, 0.77540797, 0.775513232,
  0.775618494, 0.775723696, 0.775828898, 0.7759341, 0.776039124, 0.776144326, 0.776249409, 0.776354432,
  0.776459396, 0.776564419, 0.776669264, 0.776774168, 0.776879072, 0.776983857, 0.777088761, 0.777193546,
  0.777298272, 0.777402937, 0.777507663, 0.777612329, 0.777716994, 0.777821541, 0.777926147, 0.778030574,
  0.778135061, 0.778239608, 0.778343976, 0.778448403, 0.778552771, 0.778657079, 0.778761446, 0.778865755,
  0.778969944, 0.779074132, 0.779178321, 0.779282451, 0.77938658, 0.77949065, 0.779594779, 0.779698789,
  0.77980274, 0.77990669, 0.7800107, 0.780114532, 0.780218422, 0.780322313, 0.780426085, 0.780529916,
  0.780633569, 0.780737281, 0.780840993, 0.780944645, 0.781048298, 0.781151891, 0.781255424, 0.781358957,
  0.781462431, 0.781565905, 0.781669378, 0.781772733, 0.781876206, 0.781979501, 0.782082796, 0.782186091,
  0.782289386, 0.782392621, 0.782495737, 0.782598972, 0.782702088, 0.782805204, 0.782908142, 0.783011317,
  0.783114254, 0.783217311, 0.783320189, 0.783423066, 0.783526063, 0.783628821, 0.783731699, 0.783834517,
  0.783937216, 0.784039915, 0.784142673, 0.784245312, 0.784348011, 0.784450531, 0.78455317, 0.78465575,
  0.78475827, 0.78486073, 0.78496325, 0.785065711, 0.785168052, 0.785270452, 0.785372734, 0.785475075,
  0.785577357, 0.785679638, 0.785781801, 0.785884023, 0.785986125, 0.786088288, 0.78619045, 0.786292493,
  0.786394536, 0.78649652, 0.786598563, 0.786700428, 0.786802411, 0.786904275, 0.78700608, 0.787108004,
  0.787209809, 0.787311494, 0.787413239, 0.787514985, 0.78761667, 0.787718296, 0.787819982, 0.787921488,
  0.788023055, 0.788124621, 0.788226068, 0.788327575, 0.788429022, 0.788530409, 0.788631797, 0.788733184,
  0.788834512, 0.78893584, 0.789037108, 0.789138258, 0.789239585, 0.789340734, 0.789441884, 0.789543033,
  0.789644063, 0.789745152, 0.789846182, 0.789947152, 0.790048122, 0.790149093, 0.790250003, 0.790350914,
  0.790451705, 0.790552497, 0.790653348, 0.790754139, 0.790854871, 0.790955603, 0.791056216, 0.791156888,
  0.791257501, 0.791358113, 0.791458726, 0.791559219, 0.791659713, 0.791760147, 0.79186064, 0.791961074,
  0.792061448, 0.792161822, 0.792262137, 0.792362452, 0.792462707, 0.792563021, 0.792663157, 0.792763412,
  0.792863548, 0.792963684, 0.79306376, 0.793163836, 0.793263853, 0.793363869, 0.793463826, 0.793563843,
  0.79366374, 0.793763638, 0.793863535, 0.793963313, 0.794063151, 0.794162989, 0.794262707, 0.794362426,
  0.794462144, 0.794561803, 0.794661403, 0.794761062, 0.794860601, 0.794960201, 0.795059741, 0.795159221,
  0.795258701, 0.795358121, 0.795457542, 0.795556903, 0.795656264, 0.795755565, 0.795854867, 0.795954108,
  0.79605341, 0.796152592, 0.796251833, 0.796350956, 0.796450019, 0.796549201, 0.796648264, 0.796747327,
  0.79684633, 0.796945333, 0.797044218, 0.797143221, 0.797242105, 0.797341049, 0.797439873, 0.797538638,
  0.797637403, 0.797736228, 0.797834992, 0.797933638, 0.798032343, 0.798130929, 0.798229575, 0.798328161,
  0.798426747, 0.798525333, 0.7986238, 0.798722327, 0.798820734, 0.798919201, 0.799017608, 0.799115956,
  0.799214244, 0.799312592, 0.79941088, 0.799509168, 0.799607396, 0.799705625, 0.799803734, 0.799901843,
  0.800000012, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1, 1, 1, 1, 1, 1, 1, 1,
  1,
};

constexpr size_t WIN_FREQAXIS_COUNT = 2048;
const float WIN_FREQAXIS[2048] = {
  0, 11.7130308, 23.4260616, 35.1390915, 46.8521233, 58.5651512, 70.278183, 81.9912186,
  93.7042465, 105.417274, 117.130302, 128.843338, 140.556366, 152.269394, 163.982437, 175.695465,
  187.408493, 199.121521, 210.834549, 222.547577, 234.260605, 245.973648, 257.686676, 269.399719,
  281.112732, 292.825775, 304.538788, 316.251831, 327.964874, 339.677887, 351.39093, 363.103943,
  374.816986, 386.529999, 398.243042, 409.956055, 421.669098, 433.382111, 445.095154, 456.808167,
  468.52121, 480.234283, 491.947296, 503.660339, 515.373352, 527.086365, 538.799438, 550.512451,
  562.225464, 573.938477, 585.65155, 597.364563, 609.077576, 620.790588, 632.503662, 644.216675,
  655.929749, 667.642761, 679.355774, 691.068848, 702.78186, 714.494873, 726.207886, 737.920959,
  749.633972, 761.346985, 773.059998, 784.773071, 796.486084, 808.199097, 819.912109, 831.625183,
  843.338196, 855.051208, 866.764221, 878.477295, 890.190308, 901.90332, 913.616333, 925.329407,
  937.042419, 948.755554, 960.468567, 972.18158, 983.894592, 995.607666, 1007.32068, 1019.03369,
  1030.7467, 1042.45972, 1054.17273, 1065.88586, 1077.59888, 1089.31189, 1101.0249, 1112.73792,
  1124.45093, 1136.16394, 1147.87695, 1159.59009, 1171.3031, 1183.01611, 1194.72913, 1206.44214,
  1218.15515, 1229.86816, 1241.58118, 1253.29431, 1265.00732, 1276.72034, 1288.43335, 1300.14636,
  1311.8595, 1323.57251, 1335.28552, 1346.99854, 1358.71155, 1370.42468, 1382.1377, 1393.85071,
  1405.56372, 1417.27673, 1428.98975, 1440.70276, 1452.41577, 1464.12891, 1475.84192, 1487.55493,
  1499.26794, 1510.98096, 1522.69397, 1534.40698, 1546.12, 1557.83313, 1569.54614, 1581.25916,
  1592.97217, 1604.68518, 1616.39819, 1628.11121, 1639.82422, 1651.53735, 1663.25037, 1674.96338,
  1686.67639, 1698.3894, 1710.10242, 1721.81543, 1733.52844, 1745.24158, 1756.95459, 1768.6676,
  1780.38062, 1792.09363, 1803.80664, 1815.51965, 1827.23267, 1838.9458, 1850.65881, 1862.37183,
  1874.08484, 1885.7981, 1897.51111, 1909.22412, 1920.93713, 1932.65015, 1944.36316, 1956.07617,
  1967.78918, 1979.50232, 1991.21533, 2002.92834, 2014.64136, 2026.35437, 2038.06738, 2049.78052,
  2061.49341, 2073.20654, 2084.91943, 2096.63257, 2108.34546, 2120.05859, 2131.77173, 2143.48462,
  2155.19775, 2166.91064, 2178.62378, 2190.33667, 2202.0498, 2213.76294, 2225.47583, 2237.18896,
  2248.90186, 2260.61499, 2272.32788, 2284.04102, 2295.75391, 2307.46704, 2319.18018, 2330.89307,
  2342.6062, 2354.31909, 2366.03223, 2377.74512, 2389.45825, 2401.17139, 2412.88428, 2424.59741,
  2436.3103, 2448.02344, 2459.73633, 2471.44946, 2483.16235, 2494.87549, 2506.58862, 2518.30151,
  2530.01465, 2541.72754, 2553.44067, 2565.15356, 2576.8667, 2588.57983, 2600.29272, 2612.00586,
  2623.71899, 2635.43188, 2647.14502, 2658.85815, 2670.57104, 2682.28418, 2693.99707, 2705.71021,
  2717.4231, 2729.13623, 2740.84937, 2752.56226, 2764.27539, 2775.98828, 2787.70142, 2799.41431,
  2811.12744, 2822.84033, 2834.55347, 2846.2666, 2857.97949, 2869.69263, 2881.40552, 2893.11865,
  2904.83154, 2916.54468, 2928.25781, 2939.9707, 2951.68384, 2963.39673, 2975.10986, 2986.82275,
  2998.53589, 3010.24878, 3021.96191, 3033.67505, 3045.38794, 3057.10107, 3068.81396, 3080.5271,
  3092.23999, 3103.95312, 3115.66626, 3127.37915, 3139.09229, 3150.80518, 3162.51831, 3174.2312,
  3185.94434, 3197.65723, 3209.37036, 3221.0835, 3232.79639, 3244.50952, 3256.22241, 3267.93555,
  3279.64844, 3291.36157, 3303.07471, 3314.7876, 3326.50073, 3338.21362, 3349.92676, 3361.63965,
  3373.35278, 3385.06567, 3396.77881, 3408.49194, 3420.20483, 3431.91797, 3443.63086, 3455.34399,
  3467.05688, 3478.77002, 3490.48315, 3502.19604, 3513.90918, 3525.62207, 3537.33521, 3549.0481,
  3560.76123, 3572.47412, 3584.18726, 3595.90039, 3607.61328, 3619.32642, 3631.03931, 3642.75244,
  3654.46533, 3666.17847, 3677.8916, 3689.60449, 3701.31763, 3713.03052, 3724.74365, 3736.45654,
  3748.16968, 3759.88306, 3771.59619, 3783.30908, 3795.02222, 3806.73511, 3818.44824, 3830.16113,
  3841.87427, 3853.58716, 3865.30029, 3877.01343, 3888.72632, 3900.43945, 3912.15234, 3923.86548,
  3935.57837, 3947.2915, 3959.00464, 3970.71753, 3982.43066, 3994.14355, 4005.85669, 4017.56958,
  4029.28271, 4040.99561, 4052.70874, 4064.42188, 4076.13477, 4087.8479, 4099.56104, 4111.27393,
  4122.98682, 4134.69971, 4146.41309, 4158.12598, 4169.83887, 4181.55225, 4193.26514, 4204.97803,
  4216.69092, 4228.4043, 4240.11719, 4251.83008, 4263.54346, 4275.25635, 4286.96924, 4298.68213,
  4310.39551, 4322.1084, 4333.82129, 4345.53467, 4357.24756, 4368.96045, 4380.67334, 4392.38672,
  4404.09961, 4415.8125, 4427.52588, 4439.23877, 4450.95166, 4462.66455, 4474.37793, 4486.09082,
  4497.80371, 4509.5166, 4521.22998, 4532.94287, 4544.65576, 4556.36914, 4568.08203, 4579.79492,
  4591.50781, 4603.22119, 4614.93408, 4626.64697, 4638.36035, 4650.07324, 4661.78613, 4673.49902,
  4685.2124, 4696.92529, 4708.63818, 4720.35156, 4732.06445, 4743.77734, 4755.49023, 4767.20361,
  4778.9165, 4790.62939, 4802.34277, 4814.05566, 4825.76855, 4837.48145, 4849.19482, 4860.90771,
  4872.62061, 4884.3335, 4896.04688, 4907.75977, 4919.47266, 4931.18604, 4942.89893, 4954.61182,
  4966.32471, 4978.03809, 4989.75098, 5001.46387, 5013.17725, 5024.89014, 5036.60303, 5048.31592,
  5060.0293, 5071.74219, 5083.45508, 5095.16846, 5106.88135, 5118.59424, 5130.30713, 5142.02051,
  5153.7334, 5165.44629, 5177.15967, 5188.87256, 5200.58545, 5212.29834, 5224.01172, 5235.72461,
  5247.43799, 5259.15088, 5270.86377, 5282.57715, 5294.29004, 5306.00293, 5317.71631, 5329.4292,
  5341.14209, 5352.85498, 5364.56836, 5376.28125, 5387.99414, 5399.70752, 5411.42041, 5423.1333,
  5434.84619, 5446.55957, 5458.27246, 5469.98535, 5481.69873, 5493.41162, 5505.12451, 5516.8374,
  5528.55078, 5540.26367, 5551.97656, 5563.68994, 5575.40283, 5587.11572, 5598.82861, 5610.54199,
  5622.25488, 5633.96777, 5645.68066, 5657.39404, 5669.10693, 5680.81982, 5692.5332, 5704.24609,
  5715.95898, 5727.67188, 5739.38525, 5751.09814, 5762.81104, 5774.52441, 5786.2373, 5797.9502,
  5809.66309, 5821.37646, 5833.08936, 5844.80225, 5856.51562, 5868.22852, 5879.94141, 5891.6543,
  5903.36768, 5915.08057, 5926.79346, 5938.50684, 5950.21973, 5961.93262, 5973.64551, 5985.35889,
  5997.07178, 6008.78467, 6020.49756, 6032.21094, 6043.92383, 6055.63672, 6067.3501, 6079.06299,
  6090.77588, 6102.48877, 6114.20215, 6125.91504, 6137.62793, 6149.34131, 6161.0542, 6172.76709,
  6184.47998, 6196.19336, 6207.90625, 6219.61914, 6231.33252, 6243.04541, 6254.7583, 6266.47119,
  6278.18457, 6289.89746, 6301.61035, 6313.32373, 6325.03662, 6336.74951, 6348.4624, 6360.17578,
  6371.88867, 6383.60156, 6395.31445, 6407.02783, 6418.74072, 6430.45361, 6442.16699, 6453.87988,
  6465.59277, 6477.30566, 6489.01904, 6500.73193, 6512.44482, 6524.1582, 6535.87109, 6547.58398,
  6559.29688, 6571.01025, 6582.72314, 6594.43604, 6606.14941, 6617.8623, 6629.5752, 6641.28809,
  6653.00146, 6664.71436, 6676.42725, 6688.14062, 6699.85352, 6711.56641, 6723.2793, 6734.99268,
  6746.70557, 6758.41846, 6770.13135, 6781.84473, 6793.55762, 6805.27051, 6816.98389, 6828.69678,
  6840.40967, 6852.12256, 6863.83594, 6875.54883, 6887.26172, 6898.9751, 6910.68799, 6922.40088,
  6934.11377, 6945.82715, 6957.54004, 6969.25293, 6980.96631, 6992.6792, 7004.39209, 7016.10498,
  7027.81836, 7039.53125, 7051.24414, 7062.95752, 7074.67041, 7086.3833, 7098.09619, 7109.80957,
  7121.52246, 7133.23535, 7144.94824, 7156.66162, 7168.37451, 7180.0874, 7191.80078, 7203.51367,
  7215.22656, 7226.93945, 7238.65283, 7250.36572, 7262.07861, 7273.79199, 7285.50488, 7297.21777,
  7308.93066, 7320.64404, 7332.35693, 7344.06982, 7355.7832, 7367.49609, 7379.20898, 7390.92188,
  7402.63525, 7414.34814, 7426.06104, 7437.77441, 7449.4873, 7461.2002, 7472.91309, 7484.62646,
  7496.33936, 7508.05322, 7519.76611, 7531.479, 7543.19238, 7554.90527, 7566.61816, 7578.33105,
  7590.04443, 7601.75732, 7613.47021, 7625.18311, 7636.89648, 7648.60938, 7660.32227, 7672.03564,
  7683.74854, 7695.46143, 7707.17432, 7718.8877, 7730.60059, 7742.31348, 7754.02686, 7765.73975,
  7777.45264, 7789.16553, 7800.87891, 7812.5918, 7824.30469, 7836.01807, 7847.73096, 7859.44385,
  7871.15674, 7882.87012, 7894.58301, 7906.2959, 7918.00928, 7929.72217, 7941.43506, 7953.14795,
  7964.86133, 7976.57422, 7988.28711, 8000, 8011.71338, 8023.42627, 8035.13916, 8046.85254,
  8058.56543, 8070.27832, 8081.99121, 8093.70459, 8105.41748, 8117.13037, 8128.84375, 8140.55664,
  8152.26953, 8163.98242, 8175.6958, 8187.40869, 8199.12207, 8210.83496, 8222.54785, 8234.26074,
  8245.97363, 8257.68652, 8269.39941, 8281.11328, 8292.82617, 8304.53906, 8316.25195, 8327.96484,
  8339.67773, 8351.39062, 8363.10449, 8374.81738, 8386.53027, 8398.24316, 8409.95605, 8421.66895,
  8433.38184, 8445.0957, 8456.80859, 8468.52148, 8480.23438, 8491.94727, 8503.66016, 8515.37305,
  8527.08691, 8538.7998, 8550.5127, 8562.22559, 8573.93848, 8585.65137, 8597.36426, 8609.07812,
  8620.79102, 8632.50391, 8644.2168, 8655.92969, 8667.64258, 8679.35547, 8691.06934, 8702.78223,
  8714.49512, 8726.20801, 8737.9209, 8749.63379, 8761.34668, 8773.06055, 8784.77344, 8796.48633,
  8808.19922, 8819.91211, 8831.625, 8843.33789, 8855.05176, 8866.76465, 8878.47754, 8890.19043,
  8901.90332, 8913.61621, 8925.3291, 8937.04199, 8948.75586, 8960.46875, 8972.18164, 8983.89453,
  8995.60742, 9007.32031, 9019.0332, 9030.74707, 9042.45996, 9054.17285, 9065.88574, 9077.59863,
  9089.31152, 9101.02441, 9112.73828, 9124.45117, 9136.16406, 9147.87695, 9159.58984, 9171.30273,
  9183.01562, 9194.72949, 9206.44238, 9218.15527, 9229.86816, 9241.58105, 9253.29395, 9265.00684,
  9276.7207, 9288.43359, 9300.14648, 9311.85938, 9323.57227, 9335.28516, 9346.99805, 9358.71191,
  9370.4248, 9382.1377, 9393.85059, 9405.56348, 9417.27637, 9428.98926, 9440.70312, 9452.41602,
  9464.12891, 9475.8418, 9487.55469, 9499.26758, 9510.98047, 9522.69434, 9534.40723, 9546.12012,
  9557.83301, 9569.5459, 9581.25879, 9592.97168, 9604.68555, 9616.39844, 9628.11133, 9639.82422,
  9651.53711, 9663.25, 9674.96289, 9686.67578, 9698.38965, 9710.10254, 9721.81543, 9733.52832,
  9745.24121, 9756.9541, 9768.66699, 9780.38086, 9792.09375, 9803.80664, 9815.51953, 9827.23242,
  9838.94531, 9850.6582, 9862.37207, 9874.08496, 9885.79785, 9897.51074, 9909.22363, 9920.93652,
  9932.64941, 9944.36328, 9956.07617, 9967.78906, 9979.50195, 9991.21484, 10002.9277, 10014.6406,
  10026.3545, 10038.0674, 10049.7803, 10061.4932, 10073.2061, 10084.9189, 10096.6318, 10108.3457,
  10120.0586, 10131.7715, 10143.4844, 10155.1973, 10166.9102, 10178.623, 10190.3369, 10202.0498,
  10213.7627, 10225.4756, 10237.1885, 10248.9014, 10260.6143, 10272.3281, 10284.041, 10295.7539,
  10307.4668, 10319.1797, 10330.8926, 10342.6055, 10354.3193, 10366.0322, 10377.7451, 10389.458,
  10401.1709, 10412.8838, 10424.5967, 10436.3096, 10448.0234, 10459.7363, 10471.4492, 10483.1621,
  10494.876, 10506.5889, 10518.3018, 10530.0146, 10541.7275, 10553.4414, 10565.1543, 10576.8672,
  10588.5801, 10600.293, 10612.0059, 10623.7188, 10635.4326, 10647.1455, 10658.8584, 10670.5713,
  10682.2842, 10693.9971, 10705.71, 10717.4238, 10729.1367, 10740.8496, 10752.5625, 10764.2754,
  10775.9883, 10787.7012, 10799.415, 10811.1279, 10822.8408, 10834.5537, 10846.2666, 10857.9795,
  10869.6924, 10881.4062, 10893.1191, 10904.832, 10916.5449, 10928.2578, 10939.9707, 10951.6836,
  10963.3975, 10975.1104, 10986.8232, 10998.5361, 11010.249, 11021.9619, 11033.6748, 11045.3887,
  11057.1016, 11068.8145, 11080.5273, 11092.2402, 11103.9531, 11115.666, 11127.3799, 11139.0928,
  11150.8057, 11162.5186, 11174.2314, 11185.9443, 11197.6572, 11209.3711, 11221.084, 11232.7969,
  11244.5098, 11256.2227, 11267.9355, 11279.6484, 11291.3613, 11303.0752, 11314.7881, 11326.501,
  11338.2139, 11349.9268, 11361.6396, 11373.3525, 11385.0664, 11396.7793, 11408.4922, 11420.2051,
  11431.918, 11443.6309, 11455.3438, 11467.0576, 11478.7705, 11490.4834, 11502.1963, 11513.9092,
  11525.6221, 11537.335, 11549.0488, 11560.7617, 11572.4746, 11584.1875, 11595.9004, 11607.6133,
  11619.3262, 11631.04, 11642.7529, 11654.4658, 11666.1787, 11677.8916, 11689.6045, 11701.3174,
  11713.0312, 11724.7441, 11736.457, 11748.1699, 11759.8828, 11771.5957, 11783.3086, 11795.0225,
  11806.7354, 11818.4482, 11830.1611, 11841.874, 11853.5869, 11865.2998, 11877.0137, 11888.7266,
  11900.4395, 11912.1523, 11923.8652, 11935.5781, 11947.291, 11959.0049, 11970.7178, 11982.4307,
  11994.1436, 12005.8564, 12017.5693, 12029.2822, 12040.9951, 12052.709, 12064.4219, 12076.1348,
  12087.8477, 12099.5605, 12111.2734, 12122.9863, 12134.7002, 12146.4131, 12158.126, 12169.8389,
  12181.5518, 12193.2646, 12204.9775, 12216.6914, 12228.4043, 12240.1172, 12251.8301, 12263.543,
  12275.2559, 12286.9688, 12298.6826, 12310.3955, 12322.1084, 12333.8213, 12345.5342, 12357.2471,
  12368.96, 12380.6738, 12392.3867, 12404.0996, 12415.8125, 12427.5254, 12439.2383, 12450.9512,
  12462.665, 12474.3779, 12486.0908, 12497.8037, 12509.5166, 12521.2295, 12532.9424, 12544.6562,
  12556.3691, 12568.082, 12579.7949, 12591.5078, 12603.2207, 12614.9336, 12626.6475, 12638.3604,
  12650.0732, 12661.7861, 12673.499, 12685.2119, 12696.9248, 12708.6387, 12720.3516, 12732.0645,
  12743.7773, 12755.4902, 12767.2031, 12778.916, 12790.6289, 12802.3428, 12814.0557, 12825.7686,
  12837.4814, 12849.1943, 12860.9072, 12872.6201, 12884.334, 12896.0469, 12907.7598, 12919.4727,
  12931.1855, 12942.8984, 12954.6113, 12966.3252, 12978.0381, 12989.751, 13001.4639, 13013.1768,
  13024.8896, 13036.6025, 13048.3164, 13060.0293, 13071.7422, 13083.4551, 13095.168, 13106.8809,
  13118.5938, 13130.3076, 13142.0205, 13153.7334, 13165.4463, 13177.1592, 13188.8721, 13200.585,
  13212.2988, 13224.0117, 13235.7246, 13247.4375, 13259.1504, 13270.8633, 13282.5762, 13294.29,
  13306.0029, 13317.7158, 13329.4287, 13341.1416, 13352.8545, 13364.5674, 13376.2812, 13387.9941,
  13399.707, 13411.4199, 13423.1328, 13434.8457, 13446.5586, 13458.2725, 13469.9854, 13481.6982,
  13493.4111, 13505.124, 13516.8369, 13528.5498, 13540.2627, 13551.9766, 13563.6895, 13575.4023,
  13587.1152, 13598.8281, 13610.541, 13622.2539, 13633.9678, 13645.6807, 13657.3936, 13669.1064,
  13680.8193, 13692.5322, 13704.2451, 13715.959, 13727.6719, 13739.3848, 13751.0977, 13762.8105,
  13774.5234, 13786.2363, 13797.9502, 13809.6631, 13821.376, 13833.0889, 13844.8018, 13856.5146,
  13868.2275, 13879.9414, 13891.6543, 13903.3672, 13915.0801, 13926.793, 13938.5059, 13950.2188,
  13961.9326, 13973.6455, 13985.3584, 13997.0713, 14008.7842, 14020.4971, 14032.21, 14043.9238,
  14055.6367, 14067.3496, 14079.0625, 14090.7754, 14102.4883, 14114.2012, 14125.915, 14137.6279,
  14149.3408, 14161.0537, 14172.7666, 14184.4795, 14196.1924, 14207.9062, 14219.6191, 14231.332,
  14243.0449, 14254.7578, 14266.4707, 14278.1836, 14289.8965, 14301.6104, 14313.3232, 14325.0361,
  14336.749, 14348.4619, 14360.1748, 14371.8877, 14383.6016, 14395.3145, 14407.0273, 14418.7402,
  14430.4531, 14442.166, 14453.8789, 14465.5928, 14477.3057, 14489.0186, 14500.7314, 14512.4443,
  14524.1572, 14535.8701, 14547.584, 14559.2969, 14571.0098, 14582.7227, 14594.4355, 14606.1484,
  14617.8613, 14629.5752, 14641.2881, 14653.001, 14664.7139, 14676.4268, 14688.1396, 14699.8525,
  14711.5664, 14723.2793, 14734.9922, 14746.7051, 14758.418, 14770.1309, 14781.8438, 14793.5576,
  14805.2705, 14816.9834, 14828.6963, 14840.4092, 14852.1221, 14863.835, 14875.5488, 14887.2617,
  14898.9746, 14910.6875, 14922.4004, 14934.1133, 14945.8262, 14957.54, 14969.2529, 14980.9658,
  14992.6787, 15004.3936, 15016.1064, 15027.8193, 15039.5322, 15051.2451, 15062.958, 15074.6709,
  15086.3848, 15098.0977, 15109.8105, 15121.5234, 15133.2363, 15144.9492, 15156.6621, 15168.376,
  15180.0889, 15191.8018, 15203.5146, 15215.2275, 15226.9404, 15238.6533, 15250.3662, 15262.0801,
  15273.793, 15285.5059, 15297.2188, 15308.9316, 15320.6445, 15332.3574, 15344.0713, 15355.7842,
  15367.4971, 15379.21, 15390.9229, 15402.6357, 15414.3486, 15426.0625, 15437.7754, 15449.4883,
  15461.2012, 15472.9141, 15484.627, 15496.3398, 15508.0537, 15519.7666, 15531.4795, 15543.1924,
  15554.9053, 15566.6182, 15578.3311, 15590.0449, 15601.7578, 15613.4707, 15625.1836, 15636.8965,
  15648.6094, 15660.3223, 15672.0361, 15683.749, 15695.4619, 15707.1748, 15718.8877, 15730.6006,
  15742.3135, 15754.0273, 15765.7402, 15777.4531, 15789.166, 15800.8789, 15812.5918, 15824.3047,
  15836.0186, 15847.7314, 15859.4443, 15871.1572, 15882.8701, 15894.583, 15906.2959, 15918.0098,
  15929.7227, 15941.4355, 15953.1484, 15964.8613, 15976.5742, 15988.2871, 16000, 16011.7139,
  16023.4268, 16035.1396, 16046.8525, 16058.5654, 16070.2783, 16081.9912, 16093.7051, 16105.418,
  16117.1309, 16128.8438, 16140.5566, 16152.2695, 16163.9824, 16175.6963, 16187.4092, 16199.1221,
  16210.835, 16222.5479, 16234.2607, 16245.9736, 16257.6875, 16269.4004, 16281.1133, 16292.8262,
  16304.5391, 16316.252, 16327.9648, 16339.6787, 16351.3916, 16363.1045, 16374.8174, 16386.5312,
  16398.2441, 16409.957, 16421.6699, 16433.3828, 16445.0957, 16456.8086, 16468.5215, 16480.2344,
  16491.9473, 16503.6602, 16515.373, 16527.0859, 16538.7988, 16550.5137, 16562.2266, 16573.9395,
  16585.6523, 16597.3652, 16609.0781, 16620.791, 16632.5039, 16644.2168, 16655.9297, 16667.6426,
  16679.3555, 16691.0684, 16702.7812, 16714.4961, 16726.209, 16737.9219, 16749.6348, 16761.3477,
  16773.0605, 16784.7734, 16796.4863, 16808.1992, 16819.9121, 16831.625, 16843.3379, 16855.0508,
  16866.7637, 16878.4785, 16890.1914, 16901.9043, 16913.6172, 16925.3301, 16937.043, 16948.7559,
  16960.4688, 16972.1816, 16983.8945, 16995.6074, 17007.3203, 17019.0332, 17030.7461, 17042.4609,
  17054.1738, 17065.8867, 17077.5996, 17089.3125, 17101.0254, 17112.7383, 17124.4512, 17136.1641,
  17147.877, 17159.5898, 17171.3027, 17183.0156, 17194.7285, 17206.4414, 17218.1562, 17229.8691,
  17241.582, 17253.2949, 17265.0078, 17276.7207, 17288.4336, 17300.1465, 17311.8594, 17323.5723,
  17335.2852, 17346.998, 17358.7109, 17370.4238, 17382.1387, 17393.8516, 17405.5645, 17417.2773,
  17428.9902, 17440.7031, 17452.416, 17464.1289, 17475.8418, 17487.5547, 17499.2676, 17510.9805,
  17522.6934, 17534.4062, 17546.1211, 17557.834, 17569.5469, 17581.2598, 17592.9727, 17604.6855,
  17616.3984, 17628.1113, 17639.8242, 17651.5371, 17663.25, 17674.9629, 17686.6758, 17698.3887,
  17710.1035, 17721.8164, 17733.5293, 17745.2422, 17756.9551, 17768.668, 17780.3809, 17792.0938,
  17803.8066, 17815.5195, 17827.2324, 17838.9453, 17850.6582, 17862.3711, 17874.084, 17885.7988,
  17897.5117, 17909.2246, 17920.9375, 17932.6504, 17944.3633, 17956.0762, 17967.7891, 17979.502,
  17991.2148, 18002.9277, 18014.6406, 18026.3535, 18038.0664, 18049.7812, 18061.4941, 18073.207,
  18084.9199, 18096.6328, 18108.3457, 18120.0586, 18131.7715, 18143.4844, 18155.1973, 18166.9102,
  18178.623, 18190.3359, 18202.0488, 18213.7637, 18225.4766, 18237.1895, 18248.9023, 18260.6152,
  18272.3281, 18284.041, 18295.7539, 18307.4668, 18319.1797, 18330.8926, 18342.6055, 18354.3184,
  18366.0312, 18377.7461, 18389.459, 18401.1719, 18412.8848, 18424.5977, 18436.3105, 18448.0234,
  18459.7363, 18471.4492, 18483.1621, 18494.875, 18506.5879, 18518.3008, 18530.0137, 18541.7285,
  18553.4414, 18565.1543, 18576.8672, 18588.5801, 18600.293, 18612.0059, 18623.7188, 18635.4316,
  18647.1445, 18658.8574, 18670.5703, 18682.2832, 18693.9961, 18705.709, 18717.4238, 18729.1367,
  18740.8496, 18752.5625, 18764.2754, 18775.9883, 18787.7012, 18799.4141, 18811.127, 18822.8398,
  18834.5527, 18846.2656, 18857.9785, 18869.6914, 18881.4062, 18893.1191, 18904.832, 18916.5449,
  18928.2578, 18939.9707, 18951.6836, 18963.3965, 18975.1094, 18986.8223, 18998.5352, 19010.248,
  19021.9609, 19033.6738, 19045.3887, 19057.1016, 19068.8145, 19080.5273, 19092.2402, 19103.9531,
  19115.666, 19127.3789, 19139.0918, 19150.8047, 19162.5176, 19174.2305, 19185.9434, 19197.6562,
  19209.3711, 19221.084, 19232.7969, 19244.5098, 19256.2227, 19267.9355, 19279.6484, 19291.3613,
  19303.0742, 19314.7871, 19326.5, 19338.2129, 19349.9258, 19361.6387, 19373.3516, 19385.0664,
  19396.7793, 19408.4922, 19420.2051, 19431.918, 19443.6309, 19455.3438, 19467.0566, 19478.7695,
  19490.4824, 19502.1953, 19513.9082, 19525.6211, 19537.334, 19549.0488, 19560.7617, 19572.4746,
  19584.1875, 19595.9004, 19607.6133, 19619.3262, 19631.0391, 19642.752, 19654.4648, 19666.1777,
  19677.8906, 19689.6035, 19701.3164, 19713.0312, 19724.7441, 19736.457, 19748.1699, 19759.8828,
  19771.5957, 19783.3086, 19795.0215, 19806.7344, 19818.4473, 19830.1602, 19841.873, 19853.5859,
  19865.2988, 19877.0137, 19888.7266, 19900.4395, 19912.1523, 19923.8652, 19935.5781, 19947.291,
  19959.0039, 19970.7168, 19982.4297, 19994.1426, 20005.8555, 20017.5684, 20029.2812, 20040.9961,
  20052.709, 20064.4219, 20076.1348, 20087.8477, 20099.5605, 20111.2734, 20122.9863, 20134.6992,
  20146.4121, 20158.125, 20169.8379, 20181.5508, 20193.2637, 20204.9766, 20216.6914, 20228.4043,
  20240.1172, 20251.8301, 20263.543, 20275.2559, 20286.9688, 20298.6816, 20310.3945, 20322.1074,
  20333.8203, 20345.5332, 20357.2461, 20368.959, 20380.6738, 20392.3867, 20404.0996, 20415.8125,
  20427.5254, 20439.2383, 20450.9512, 20462.6641, 20474.377, 20486.0898, 20497.8027, 20509.5156,
  20521.2285, 20532.9414, 20544.6562, 20556.3691, 20568.082, 20579.7949, 20591.5078, 20603.2207,
  20614.9336, 20626.6465, 20638.3594, 20650.0723, 20661.7852, 20673.498, 20685.2109, 20696.9238,
  20708.6387, 20720.3516, 20732.0645, 20743.7773, 20755.4902, 20767.2031, 20778.916, 20790.6289,
  20802.3418, 20814.0547, 20825.7676, 20837.4805, 20849.1934, 20860.9062, 20872.6191, 20884.334,
  20896.0469, 20907.7598, 20919.4727, 20931.1855, 20942.8984, 20954.6113, 20966.3242, 20978.0371,
  20989.752, 21001.4648, 21013.1777, 21024.8906, 21036.6035, 21048.3164, 21060.0293, 21071.7422,
  21083.4551, 21095.1699, 21106.8828, 21118.5957, 21130.3086, 21142.0215, 21153.7344, 21165.4473,
  21177.1602, 21188.873, 21200.5859, 21212.2988, 21224.0117, 21235.7246, 21247.4375, 21259.1523,
  21270.8652, 21282.5781, 21294.291, 21306.0039, 21317.7168, 21329.4297, 21341.1426, 21352.8555,
  21364.5684, 21376.2812, 21387.9941, 21399.707, 21411.4199, 21423.1348, 21434.8477, 21446.5605,
  21458.2734, 21469.9863, 21481.6992, 21493.4121, 21505.125, 21516.8379, 21528.5508, 21540.2637,
  21551.9766, 21563.6895, 21575.4023, 21587.1172, 21598.8301, 21610.543, 21622.2559, 21633.9688,
  21645.6816, 21657.3945, 21669.1074, 21680.8203, 21692.5332, 21704.2461, 21715.959, 21727.6719,
  21739.3848, 21751.0977, 21762.8125, 21774.5254, 21786.2383, 21797.9512, 21809.6641, 21821.377,
  21833.0898, 21844.8027, 21856.5156, 21868.2285, 21879.9414, 21891.6543, 21903.3672, 21915.0801,
  21926.7949, 21938.5078, 21950.2207, 21961.9336, 21973.6465, 21985.3594, 21997.0723, 22008.7852,
  22020.498, 22032.2109, 22043.9238, 22055.6367, 22067.3496, 22079.0625, 22090.7773, 22102.4902,
  22114.2031, 22125.916, 22137.6289, 22149.3418, 22161.0547, 22172.7676, 22184.4805, 22196.1934,
  22207.9062, 22219.6191, 22231.332, 22243.0449, 22254.7598, 22266.4727, 22278.1855, 22289.8984,
  22301.6113, 22313.3242, 22325.0371, 22336.75, 22348.4629, 22360.1758, 22371.8887, 22383.6016,
  22395.3145, 22407.0273, 22418.7422, 22430.4551, 22442.168, 22453.8809, 22465.5938, 22477.3066,
  22489.0195, 22500.7324, 22512.4453, 22524.1582, 22535.8711, 22547.584, 22559.2969, 22571.0098,
  22582.7227, 22594.4375, 22606.1504, 22617.8633, 22629.5762, 22641.2891, 22653.002, 22664.7148,
  22676.4277, 22688.1406, 22699.8535, 22711.5664, 22723.2793, 22734.9922, 22746.7051, 22758.4199,
  22770.1328, 22781.8457, 22793.5586, 22805.2715, 22816.9844, 22828.6973, 22840.4102, 22852.123,
  22863.8359, 22875.5488, 22887.2617, 22898.9746, 22910.6875, 22922.4023, 22934.1152, 22945.8281,
  22957.541, 22969.2539, 22980.9668, 22992.6797, 23004.3926, 23016.1055, 23027.8184, 23039.5312,
  23051.2441, 23062.957, 23074.6699, 23086.3848, 23098.0977, 23109.8105, 23121.5234, 23133.2363,
  23144.9492, 23156.6621, 23168.375, 23180.0879, 23191.8008, 23203.5137, 23215.2266, 23226.9395,
  23238.6523, 23250.3672, 23262.0801, 23273.793, 23285.5059, 23297.2188, 23308.9316, 23320.6445,
  23332.3574, 23344.0703, 23355.7832, 23367.4961, 23379.209, 23390.9219, 23402.6348, 23414.3477,
  23426.0625, 23437.7754, 23449.4883, 23461.2012, 23472.9141, 23484.627, 23496.3398, 23508.0527,
  23519.7656, 23531.4785, 23543.1914, 23554.9043, 23566.6172, 23578.3301, 23590.0449, 23601.7578,
  23613.4707, 23625.1836, 23636.8965, 23648.6094, 23660.3223, 23672.0352, 23683.748, 23695.4609,
  23707.1738, 23718.8867, 23730.5996, 23742.3125, 23754.0273, 23765.7402, 23777.4531, 23789.166,
  23800.8789, 23812.5918, 23824.3047, 23836.0176, 23847.7305, 23859.4434, 23871.1562, 23882.8691,
  23894.582, 23906.2949, 23918.0098, 23929.7227, 23941.4355, 23953.1484, 23964.8613, 23976.5742,
};

constexpr size_t WTA_WEIGHT_COUNT = 8193;
const float WTA_WEIGHT[8193] = {
  0.596076071, 0.566199183, 0.547009587, 0.532612503, 0.520996511, 0.51121527, 0.502742708, 0.495254636,
  0.488535911, 0.482436419, 0.476846695, 0.471684575, 0.46688658, 0.462402731, 0.458192796, 0.454223931,
  0.450469077, 0.446905404, 0.443513781, 0.440277785, 0.437183291, 0.434218019, 0.431371301, 0.42863372,
  0.425997019, 0.423453748, 0.420997381, 0.418621927, 0.416322231, 0.414093375, 0.411931098, 0.409831315,
  0.407790631, 0.405805558, 0.403873205, 0.401990712, 0.400155544, 0.398365319, 0.396617889, 0.3949112,
  0.393243343, 0.39161256, 0.390017241, 0.388455838, 0.386926949, 0.385429204, 0.38396129, 0.382522106,
  0.381110519, 0.379725456, 0.378365904, 0.377031058, 0.375719815, 0.374431551, 0.373165339, 0.371920496,
  0.370696247, 0.369491994, 0.368307024, 0.3671408, 0.365992635, 0.364862084, 0.363748491, 0.362651408,
  0.361570388, 0.360504985, 0.359454662, 0.358419031, 0.357397735, 0.356390327, 0.35539639, 0.354415685,
  0.353447855, 0.352492422, 0.351549178, 0.350617856, 0.349698097, 0.348789632, 0.347892195, 0.347005457,
  0.346129298, 0.345263362, 0.344407499, 0.343561351, 0.3427248, 0.341897607, 0.341079563, 0.340270519,
  0.339470178, 0.338678449, 0.337895066, 0.337119967, 0.336352885, 0.335593671, 0.334842265, 0.334098339,
  0.333361834, 0.332632661, 0.33191058, 0.331195533, 0.330487341, 0.329785913, 0.329091042, 0.328402698,
  0.327720672, 0.327044964, 0.326375365, 0.325711846, 0.325054169, 0.324402392, 0.323756367, 0.323115855,
  0.322480947, 0.321851432, 0.321227282, 0.320608437, 0.319994688, 0.319386065, 0.318782449, 0.31818375,
  0.317589879, 0.317000747, 0.316416323, 0.315836549, 0.315261424, 0.31469059, 0.314124227, 0.313562214,
  0.313004553, 0.312451005, 0.311901659, 0.311356455, 0.310815215, 0.310277969, 0.309744626, 0.309215188,
  0.308689505, 0.308167636, 0.307649434, 0.307134897, 0.306623936, 0.306116611, 0.305612713, 0.305112273,
  0.304615289, 0.304121643, 0.303631335, 0.303144306, 0.302660465, 0.302179843, 0.30170247, 0.301228106,
  0.300756872, 0.300288647, 0.299823403, 0.29936114, 0.298901767, 0.298445374, 0.297991812, 0.297540992,
  0.297093004, 0.296647727, 0.296205223, 0.29576543, 0.29532823, 0.294893652, 0.294461727, 0.294032335,
  0.293605477, 0.293181151, 0.29275924, 0.292339832, 0.291922778, 0.291508198, 0.291095942, 0.290686071,
  0.290278435, 0.289873213, 0.289470166, 0.289069384, 0.288670808, 0.288274437, 0.287880242, 0.287488192,
  0.287098259, 0.286710441, 0.28632471, 0.285941005, 0.285559356, 0.285179734, 0.284802109, 0.284426481,
  0.284052759, 0.283681035, 0.283311158, 0.282943219, 0.282577157, 0.282213002, 0.281850636, 0.281490088,
  0.281131417, 0.280774444, 0.28041929, 0.280065894, 0.279714257, 0.279364318, 0.279016078, 0.278669506,
  0.278324664, 0.27798149, 0.277639925, 0.277299941, 0.276961654, 0.276625007, 0.27628985, 0.275956273,
  0.275624305, 0.275293797, 0.274964869, 0.274637461, 0.274311572, 0.273987114, 0.273664206, 0.273342699,
  0.273022622, 0.272704035, 0.272386879, 0.272071153, 0.271756798, 0.271443784, 0.271132201, 0.270822018,
  0.270513147, 0.270205617, 0.269899428, 0.26959452, 0.269290984, 0.268988758, 0.268687755, 0.268388063,
  0.268089592, 0.267792434, 0.267496526, 0.267201841, 0.266908407, 0.266616136, 0.266325116, 0.266035259,
  0.265746623, 0.26545918, 0.265172869, 0.26488775, 0.264603764, 0.26432091, 0.264039218, 0.26375863,
  0.263479173, 0.263200879, 0.262923598, 0.26264745, 0.262372375, 0.262098402, 0.261825472, 0.261553615,
  0.261282772, 0.261013001, 0.260744244, 0.260476559, 0.260209918, 0.259944201, 0.259679556, 0.259415925,
  0.259153217, 0.258891523, 0.258630872, 0.258371115, 0.258112341, 0.257854521, 0.257597685, 0.257341772,
  0.257086813, 0.256832749, 0.256579608, 0.256327391, 0.256076157, 0.255825758, 0.255576283, 0.255327672,
  0.255079955, 0.254833162, 0.254587203, 0.254342139, 0.254097879, 0.253854513, 0.253612071, 0.253370374,
  0.253129601, 0.252889633, 0.25265044, 0.25241214, 0.252174586, 0.251937896, 0.25170204, 0.25146693,
  0.251232684, 0.250999153, 0.250766486, 0.250534564, 0.250303388, 0.250073016, 0.249843448, 0.249614596,
  0.249386534, 0.249159202, 0.2489326, 0.248706773, 0.248481676, 0.248257324, 0.248033687, 0.247810811,
  0.24758862, 0.247367129, 0.247146413, 0.246926367, 0.246707022, 0.246488348, 0.246270418, 0.246053159,
  0.245836601, 0.245620713, 0.24540551, 0.245190963, 0.244977131, 0.244763941, 0.24455139, 0.244339541,
  0.244128302, 0.243917778, 0.243707865, 0.243498579, 0.243289948, 0.243081942, 0.242874593, 0.242667854,
  0.242461786, 0.242256224, 0.242051423, 0.241847157, 0.241643533, 0.241440475, 0.241238087, 0.241036221,
  0.240835011, 0.240634352, 0.240434334, 0.240234897, 0.240035996, 0.239837751, 0.239640042, 0.239442855,
  0.239246354, 0.239050314, 0.2388549, 0.238660038, 0.238465756, 0.238272011, 0.238078743, 0.237886146,
  0.237694085, 0.2375025, 0.237311468, 0.237121031, 0.2369311, 0.236741677, 0.236552805, 0.236364424,
  0.236176655, 0.235989377, 0.235802606, 0.235616311, 0.235430539, 0.235245287, 0.235060588, 0.234876379,
  0.234692678, 0.234509423, 0.23432672, 0.234144509, 0.233962789, 0.233781502, 0.23360078, 0.233420491,
  0.233240739, 0.233061433, 0.232882649, 0.232704237, 0.232526392, 0.232348993, 0.232172057, 0.231995597,
  0.231819615, 0.231644019, 0.231468961, 0.231294334, 0.231120184, 0.230946466, 0.230773211, 0.230600372,
  0.23042801, 0.230256081, 0.230084598, 0.229913577, 0.229742974, 0.229572833, 0.229403093, 0.229233786,
  0.229064927, 0.228896409, 0.228728399, 0.228560805, 0.228393629, 0.22822687, 0.228060573, 0.227894589,
  0.227729172, 0.227564067, 0.227399305, 0.227235034, 0.227071211, 0.226907715, 0.226744607, 0.226582006,
  0.226419717, 0.226257846, 0.226096362, 0.225935295, 0.225774556, 0.22561428, 0.225454375, 0.225294843,
  0.225135684, 0.224976882, 0.224818543, 0.224660516, 0.224502921, 0.224345684, 0.22418879, 0.224032298,
  0.223876148, 0.223720387, 0.223564982, 0.223409981, 0.223255321, 0.22310102, 0.222947031, 0.222793475,
  0.222640201, 0.222487435, 0.222334906, 0.222182736, 0.222030923, 0.221879423, 0.221728325, 0.221577585,
  0.221427158, 0.221277133, 0.221127376, 0.220977992, 0.220828906, 0.220680237, 0.220531836, 0.220383808,
  0.220236138, 0.220088735, 0.219941661, 0.219794989, 0.2196486, 0.219502568, 0.219356865, 0.219211429,
  0.219066337, 0.218921542, 0.218777165, 0.218633026, 0.218489215, 0.218345776, 0.218202606, 0.218059734,
  0.217917204, 0.217774972, 0.217633039, 0.217491448, 0.217350155, 0.217209145, 0.217068419, 0.216928065,
  0.216787994, 0.216648206, 0.216508746, 0.21636951, 0.216230661, 0.216092065, 0.215953752, 0.215815738,
  0.215678051, 0.215540648, 0.215403527, 0.21526669, 0.21513015, 0.214993849, 0.214857906, 0.214722201,
  0.214586824, 0.2144517, 0.214316875, 0.214182302, 0.214048028, 0.213914052, 0.213780314, 0.213646889,
  0.213513687, 0.213380814, 0.213248193, 0.213115826, 0.212983772, 0.212851942, 0.212720409, 0.212589175,
  0.212458149, 0.212327406, 0.212196916, 0.212066755, 0.211936831, 0.211807147, 0.2116777, 0.211548507,
  0.211419642, 0.211290985, 0.211162612, 0.211034477, 0.210906625, 0.210778981, 0.210651606, 0.210524499,
  0.210397646, 0.210271031, 0.210144684, 0.21001859, 0.209892705, 0.209767103, 0.209641755, 0.209516615,
  0.209391698, 0.209267065, 0.20914267, 0.209018528, 0.208894655, 0.208770931, 0.208647519, 0.208524317,
  0.208401367, 0.208278611, 0.208156154, 0.208033919, 0.207911864, 0.207790151, 0.207668558, 0.207547247,
  0.207426161, 0.207305297, 0.207184643, 0.207064301, 0.206944078, 0.206824183, 0.206704423, 0.20658496,
  0.206465691, 0.206346631, 0.206227824, 0.206109226, 0.205990851, 0.20587267, 0.205754727, 0.205637038,
  0.205519527, 0.205402181, 0.205285177, 0.205168277, 0.205051675, 0.204935223, 0.204819039, 0.204703063,
  0.204587266, 0.204471663, 0.204356328, 0.204241201, 0.204126284, 0.204011559, 0.203897029, 0.203782693,
  0.203668565, 0.203554705, 0.203440979, 0.203327492, 0.203214183, 0.203101128, 0.202988237, 0.202875555,
  0.202763081, 0.202650785, 0.202538729, 0.202426836, 0.202315181, 0.202203661, 0.202092394, 0.201981291,
  0.201870441, 0.201759726, 0.201649249, 0.20153895, 0.201428831, 0.201318905, 0.201209158, 0.201099619,
  0.200990275, 0.200881109, 0.200772151, 0.200663358, 0.200554803, 0.200446427, 0.20033823, 0.200230151,
  0.200122312, 0.200014696, 0.199907213, 0.19979994, 0.199692845, 0.19958593, 0.199479178, 0.199372604,
  0.199266285, 0.199160099, 0.199054062, 0.198948219, 0.198842615, 0.198737115, 0.198631868, 0.198526725,
  0.198421761, 0.198317006, 0.198212445, 0.198108047, 0.198003814, 0.197899744, 0.197795883, 0.197692126,
  0.197588593, 0.197485238, 0.197382048, 0.197279006, 0.197176188, 0.197073504, 0.196970969, 0.196868584,
  0.196766436, 0.196664423, 0.196562603, 0.196460903, 0.196359426, 0.196258083, 0.196156904, 0.196055889,
  0.195955053, 0.195854351, 0.195753857, 0.195653513, 0.195553318, 0.195453271, 0.195353374, 0.195253715,
  0.195154145, 0.195054784, 0.194955572, 0.19485645, 0.194757566, 0.194658846, 0.19456023, 0.194461793,
  0.194363549, 0.194265395, 0.19416742, 0.194069639, 0.193971962, 0.193874493, 0.193777144, 0.193679944,
  0.193582892, 0.19348602, 0.193389282, 0.193292722, 0.193196252, 0.193100005, 0.193003893, 0.19290787,
  0.19281207, 0.192716405, 0.192620873, 0.192525491, 0.192430258, 0.192335159, 0.192240253, 0.192145452,
  0.192050815, 0.191956297, 0.191861942, 0.191767737, 0.191673681, 0.191579744, 0.191486016, 0.191392377,
  0.191298887, 0.191205531, 0.191112339, 0.191019252, 0.190926358, 0.190833613, 0.190740958, 0.190648496,
  0.190556094, 0.190463886, 0.190371782, 0.190279856, 0.19018805, 0.190096378, 0.190004915, 0.189913526,
  0.189822271, 0.189731151, 0.189640179, 0.189549342, 0.189458609, 0.189368039, 0.189277634, 0.189187288,
  0.189097136, 0.189007118, 0.188917264, 0.188827485, 0.188737825, 0.188648328, 0.188558981, 0.188469708,
  0.188380629, 0.188291609, 0.188202798, 0.188114062, 0.188025519, 0.187937021, 0.187848717, 0.187760487,
  0.187672392, 0.18758446, 0.187496662, 0.187408984, 0.18732141, 0.187233999, 0.187146693, 0.187059507,
  0.186972424, 0.186885491, 0.186798722, 0.186712027, 0.186625451, 0.186539054, 0.186452717, 0.186366543,
  0.186280474, 0.186194554, 0.186108723, 0.186023057, 0.18593742, 0.185852021, 0.185766682, 0.185681447,
  0.185596347, 0.18551138, 0.185426548, 0.185341775, 0.185257182, 0.185172707, 0.185088336, 0.185004085,
  0.184919938, 0.184835911, 0.184752017, 0.184668228, 0.184584543, 0.184501022, 0.18441759, 0.184334263,
  0.18425107, 0.184167981, 0.184085026, 0.184002176, 0.1839194, 0.183836803, 0.183754295, 0.183671862,
  0.183589548, 0.183507383, 0.183425337, 0.183343351, 0.183261558, 0.183179796, 0.183098197, 0.183016673,
  0.182935283, 0.182854027, 0.182772845, 0.182691783, 0.18261081, 0.182529971, 0.182449266, 0.182368636,
  0.182288125, 0.182207718, 0.182127416, 0.182047233, 0.181967154, 0.181887165, 0.181807294, 0.181727588,
  0.181647941, 0.181568384, 0.181488931, 0.181409597, 0.181330383, 0.181251258, 0.181172237, 0.181093365,
  0.181014523, 0.180935815, 0.180857226, 0.180778727, 0.180700332, 0.180622056, 0.18054387, 0.180465788,
  0.18038781, 0.180309966, 0.180232197, 0.180154502, 0.180076957, 0.179999486, 0.179922104, 0.179844841,
  0.179767668, 0.179690629, 0.17961365, 0.17953676, 0.179460049, 0.179383382, 0.17930679, 0.179230347,
  0.179153934, 0.1790777, 0.179001495, 0.178925455, 0.178849488, 0.178773612, 0.178697854, 0.178622141,
  0.178546563, 0.178471044, 0.178395718, 0.178320393, 0.178245217, 0.178170115, 0.178095087, 0.178020194,
  0.177945361, 0.177870631, 0.177796021, 0.177721515, 0.177647069, 0.177572697, 0.177498475, 0.177424341,
  0.177350268, 0.177276254, 0.177202463, 0.177128658, 0.177054942, 0.176981345, 0.176907867, 0.176834449,
  0.176761135, 0.176687911, 0.176614791, 0.176541731, 0.17646876, 0.176395878, 0.176323131, 0.176250428,
  0.176177844, 0.17610535, 0.176032916, 0.1759606, 0.175888374, 0.175816208, 0.175744176, 0.175672218,
  0.17560038, 0.175528511, 0.175456867, 0.175385237, 0.175313681, 0.17524229, 0.175170958, 0.175099686,
  0.175028533, 0.17495738, 0.174886405, 0.174815476, 0.174744651, 0.174673885, 0.174603239, 0.174532652,
  0.174462199, 0.174391791, 0.174321458, 0.174251214, 0.174181104, 0.174111053, 0.174041063, 0.173971161,
  0.173901349, 0.173831612, 0.173761964, 0.17369242, 0.173622921, 0.173553541, 0.173484236, 0.17341502,
  0.173345879, 0.173276812, 0.173207819, 0.173138931, 0.173070088, 0.173001379, 0.172932744, 0.172864154,
  0.172795668, 0.172727272, 0.172658935, 0.172590703, 0.17252253, 0.172454447, 0.172386438, 0.172318518,
  0.172250643, 0.172182918, 0.172115222, 0.172047585, 0.171980053, 0.171912611, 0.171845242, 0.171777949,
  0.17171073, 0.1716436, 0.171576574, 0.171509594, 0.171442673, 0.171375811, 0.171309069, 0.171242431,
  0.171175808, 0.171109304, 0.17104286, 0.17097649, 0.170910239, 0.170844048, 0.170777857, 0.17071183,
  0.170645848, 0.170579955, 0.170514092, 0.170448378, 0.170382693, 0.170317069, 0.170251533, 0.170186087,
  0.170120701, 0.170055389, 0.169990167, 0.169925019, 0.169859916, 0.169794902, 0.169729963, 0.169665113,
  0.169600308, 0.169535622, 0.169470981, 0.169406384, 0.169341907, 0.169277474, 0.169213131, 0.169148833,
  0.169084623, 0.169020504, 0.168956429, 0.168892458, 0.168828502, 0.168764681, 0.168700904, 0.168637186,
  0.168573603, 0.16850999, 0.168446511, 0.168383077, 0.168319732, 0.168256432, 0.168193236, 0.16813013,
  0.168067038, 0.168004021, 0.167941079, 0.167878225, 0.167815432, 0.167752713, 0.167690068, 0.167627469,
  0.167564929, 0.167502522, 0.167440146, 0.16737783, 0.167315587, 0.16725339, 0.167191267, 0.167129233,
  0.167067274, 0.16700536, 0.16694352, 0.166881755, 0.166820079, 0.166758418, 0.166696861, 0.166635364,
  0.166573927, 0.166512564, 0.166451246, 0.166390002, 0.166328833, 0.166267753, 0.166206703, 0.166145787,
  0.166084826, 0.16602397, 0.165963203, 0.165902525, 0.165841833, 0.165781289, 0.165720731, 0.165660307,
  0.165599927, 0.165539607, 0.165479347, 0.165419146, 0.165359035, 0.165298983, 0.165238962, 0.165178999,
  0.165119156, 0.165059358, 0.164999604, 0.164939925, 0.164880291, 0.164820731, 0.16476123, 0.164701819,
  0.164642423, 0.164583176, 0.1645239, 0.164464742, 0.164405584, 0.164346516, 0.164287552, 0.164228618,
  0.164169729, 0.164110959, 0.164052159, 0.163993493, 0.163934857, 0.16387631, 0.163817793, 0.163759366,
  0.163700953, 0.163642645, 0.163584396, 0.163526177, 0.163468048, 0.163409978, 0.163351953, 0.163294002,
  0.163236097, 0.16317822, 0.163120478, 0.163062766, 0.163005084, 0.162947491, 0.162889928, 0.162832484,
  0.16277504, 0.162717685, 0.162660375, 0.16260311, 0.162545934, 0.162488803, 0.162431747, 0.16237472,
  0.162317783, 0.16226089, 0.162204057, 0.162147254, 0.162090525, 0.162033871, 0.161977246, 0.161920682,
  0.161864191, 0.161807746, 0.161751375, 0.161695078, 0.161638767, 0.161582574, 0.161526427, 0.161470339,
  0.161414281, 0.161358312, 0.161302403, 0.161246523, 0.161190689, 0.161134958, 0.161079228, 0.161023587,
  0.160967976, 0.160912469, 0.160856992, 0.16080156, 0.160746202, 0.160690844, 0.16063562, 0.160580397,
  0.160525277, 0.160470173, 0.160415113, 0.160360143, 0.160305217, 0.160250336, 0.160195515, 0.160140753,
  0.160086021, 0.160031363, 0.159976766, 0.159922212, 0.159867719, 0.159813255, 0.159758881, 0.159704536,
  0.159650266, 0.159596011, 0.159541845, 0.159487709, 0.159433678, 0.159379646, 0.159325674, 0.159271732,
  0.159217894, 0.159164086, 0.159110323, 0.159056619, 0.159002975, 0.15894939, 0.15889582, 0.158842325,
  0.158788905, 0.158735499, 0.158682123, 0.158628836, 0.158575639, 0.158522427, 0.15846929, 0.158416227,
  0.158363178, 0.158310205, 0.158257261, 0.158204377, 0.158151582, 0.158098787, 0.158046067, 0.157993391,
  0.157940775, 0.157888219, 0.157835647, 0.15778321, 0.157730758, 0.157678381, 0.157626078, 0.157573774,
  0.157521546, 0.157469377, 0.157417253, 0.157365203, 0.157313138, 0.157261193, 0.157209262, 0.157157376,
  0.15710552, 0.157053769, 0.157002032, 0.156950355, 0.156898722, 0.156847119, 0.156795561, 0.156744108,
  0.156692669, 0.156641275, 0.15658991, 0.156538606, 0.156487361, 0.156436175, 0.156385019, 0.156333923,
  0.156282872, 0.156231865, 0.156180903, 0.156129986, 0.156079128, 0.156028315, 0.155977532, 0.155926809,
  0.155876145, 0.155825511, 0.155774906, 0.155724376, 0.155673906, 0.155623466, 0.15557307, 0.155522704,
  0.155472398, 0.155422181, 0.155371934, 0.155321762, 0.155271679, 0.155221596, 0.155171573, 0.15512161,
  0.155071646, 0.155021772, 0.154971927, 0.154922113, 0.154872373, 0.154822692, 0.154773027, 0.154723421,
  0.15467383, 0.154624328, 0.154574826, 0.154525414, 0.154476002, 0.154426694, 0.154377371, 0.154328108,
  0.154278919, 0.15422976, 0.154180646, 0.154131562, 0.154082537, 0.154033527, 0.153984606, 0.153935716,
  0.15388684, 0.153838038, 0.153789282, 0.15374057, 0.153691873, 0.15364328, 0.153594673, 0.153546125,
  0.153497621, 0.153449148, 0.153400704, 0.153352365, 0.15330404, 0.153255761, 0.153207541, 0.153159305,
  0.15311113, 0.153063059, 0.153014988, 0.152966961, 0.15291895, 0.152871042, 0.152823135, 0.152775273,
  0.15272744, 0.152679682, 0.152631953, 0.152584255, 0.152536586, 0.152489007, 0.152441427, 0.152393907,
  0.152346447, 0.152299017, 0.152251646, 0.15220426, 0.152156979, 0.152109683, 0.152062476, 0.152015254,
  0.151968151, 0.151921034, 0.151873991, 0.151826963, 0.151780009, 0.151733041, 0.151686132, 0.151639298,
  0.151592493, 0.151545703, 0.151498973, 0.151452288, 0.151405632, 0.151359022, 0.151312441, 0.151265949,
  0.151219413, 0.15117301, 0.151126578, 0.151080206, 0.151033878, 0.15098761, 0.150941357, 0.150895134,
  0.15084897, 0.150802821, 0.150756761, 0.150710717, 0.150664717, 0.150618732, 0.150572807, 0.150526881,
  0.150481045, 0.150435224, 0.150389478, 0.150343746, 0.150298044, 0.150252402, 0.150206745, 0.150161177,
  0.150115654, 0.150070161, 0.150024697, 0.149979278, 0.149933904, 0.14988853, 0.149843246, 0.149797991,
  0.149752766, 0.149707571, 0.14966239, 0.149617299, 0.149572223, 0.149527177, 0.149482191, 0.149437219,
  0.149392307, 0.149347439, 0.149302572, 0.149257779, 0.149213001, 0.149168253, 0.149123564, 0.149078876,
  0.149034306, 0.148989692, 0.148945153, 0.148900658, 0.148856163, 0.148811743, 0.148767352, 0.148722976,
  0.148678675, 0.148634374, 0.148590133, 0.148545921, 0.148501739, 0.148457631, 0.148413509, 0.148369417,
  0.148325413, 0.148281425, 0.148237467, 0.148193538, 0.148149684, 0.14810583, 0.148062035, 0.148018256,
  0.147974521, 0.147930816, 0.147887126, 0.147843495, 0.147799939, 0.147756398, 0.147712842, 0.14766936,
  0.147625953, 0.147582516, 0.147539094, 0.147495821, 0.147452489, 0.147409186, 0.147365987, 0.147322774,
  0.147279635, 0.147236496, 0.147193402, 0.147150353, 0.147107318, 0.147064343, 0.147021368, 0.146978453,
  0.146935597, 0.146892741, 0.14684993, 0.146807104, 0.146764398, 0.146721706, 0.146679014, 0.146636382,
  0.146593779, 0.146551192, 0.146508679, 0.146466166, 0.146423683, 0.146381289, 0.14633888, 0.146296531,
  0.146254182, 0.146211892, 0.146169618, 0.146127418, 0.146085203, 0.146043062, 0.146000922, 0.145958811,
  0.145916775, 0.145874754, 0.145832792, 0.14579083, 0.145748898, 0.145706996, 0.145665124, 0.145623282,
  0.145581543, 0.14553979, 0.145498037, 0.145456389, 0.14541474, 0.145373106, 0.145331487, 0.145289958,
  0.145248458, 0.145206928, 0.145165473, 0.145124033, 0.145082682, 0.145041317, 0.144999996, 0.14495869,
  0.144917458, 0.144876212, 0.144835025, 0.144793868, 0.144752726, 0.144711643, 0.144670546, 0.144629538,
  0.144588515, 0.144547552, 0.144506603, 0.144465685, 0.144424826, 0.144384012, 0.144343182, 0.144302398,
  0.144261658, 0.144220963, 0.144180283, 0.144139618, 0.144099027, 0.144058451, 0.14401789, 0.143977359,
  0.143936843, 0.143896401, 0.143855974, 0.143815592, 0.143775195, 0.143734917, 0.143694595, 0.143654317,
  0.143614098, 0.14357391, 0.143533692, 0.143493548, 0.143453434, 0.14341335, 0.143373325, 0.143333316,
  0.143293276, 0.143253326, 0.143213406, 0.143173501, 0.14313364, 0.143093795, 0.143054023, 0.143014252,
  0.142974481, 0.142934784, 0.142895103, 0.142855451, 0.142815813, 0.142776206, 0.142736673, 0.142697141,
  0.142657623, 0.142618164, 0.142578736, 0.142539307, 0.142499924, 0.142460585, 0.142421275, 0.142381951,
  0.142342672, 0.142303482, 0.142264232, 0.142225102, 0.142185971, 0.142146856, 0.142107755, 0.142068699,
  0.142029688, 0.141990706, 0.14195174, 0.141912803, 0.141873896, 0.141835019, 0.141796172, 0.141757354,
  0.141718581, 0.141679823, 0.14164111, 0.141602397, 0.141563714, 0.14152506, 0.141486466, 0.141447872,
  0.141409293, 0.141370803, 0.141332299, 0.141293854, 0.141255394, 0.141216993, 0.141178608, 0.141140223,
  0.141101927, 0.141063616, 0.141025364, 0.140987143, 0.140948907, 0.14091073, 0.140872568, 0.140834436,
  0.140796334, 0.140758291, 0.140720248, 0.14068222, 0.140644252, 0.140606284, 0.140568376, 0.140530437,
  0.140492588, 0.140454724, 0.14041695, 0.140379146, 0.140341386, 0.140303671, 0.140265942, 0.140228257,
  0.140190631, 0.140153021, 0.140115425, 0.140077844, 0.140040308, 0.140002817, 0.139965326, 0.139927864,
  0.139890432, 0.13985303, 0.139815673, 0.139778301, 0.139741033, 0.139703736, 0.139666423, 0.139629215,
  0.139592022, 0.139554843, 0.13951768, 0.139480561, 0.139443442, 0.139406398, 0.139369339, 0.139332309,
  0.13929531, 0.139258355, 0.1392214, 0.13918452, 0.139147624, 0.139110774, 0.139073923, 0.139037132,
  0.139000326, 0.138963595, 0.138926879, 0.138890192, 0.138853535, 0.138816863, 0.138780251, 0.138743639,
  0.138707072, 0.138670549, 0.138634041, 0.138597533, 0.13856107, 0.138524666, 0.138488248, 0.138451815,
  0.138415501, 0.138379171, 0.138342828, 0.138306558, 0.138270333, 0.138234109, 0.138197899, 0.138161749,
  0.138125569, 0.138089463, 0.138053358, 0.138017282, 0.137981236, 0.137945235, 0.137909234, 0.137873277,
  0.137837321, 0.137801394, 0.137765497, 0.13772966, 0.137693822, 0.137657985, 0.137622193, 0.13758646,
  0.137550667, 0.137514964, 0.137479275, 0.137443647, 0.137407988, 0.137372375, 0.137336805, 0.137301221,
  0.137265652, 0.137230158, 0.137194678, 0.137159213, 0.137123778, 0.137088358, 0.137052968, 0.137017637,
  0.136982277, 0.136946976, 0.136911675, 0.136876404, 0.136841178, 0.136805981, 0.13677074, 0.136735603,
  0.136700481, 0.136665359, 0.136630252, 0.13659519, 0.136560157, 0.136525139, 0.136490121, 0.136455178,
  0.136420205, 0.136385322, 0.136350378, 0.13631551, 0.136280686, 0.136245877, 0.136211023, 0.136176273,
  0.136141509, 0.136106789, 0.136072084, 0.136037439, 0.136002764, 0.135968119, 0.135933518, 0.135898918,
  0.135864392, 0.135829806, 0.135795325, 0.135760829, 0.135726348, 0.135691971, 0.135657489, 0.135623127,
  0.135588765, 0.135554418, 0.135520086, 0.135485783, 0.135451496, 0.135417253, 0.13538304, 0.135348797,
  0.135314643, 0.13528046, 0.135246366, 0.135212228, 0.135178119, 0.135144114, 0.135110036, 0.135076001,
  0.135041997, 0.135008007, 0.134974122, 0.134940192, 0.134906277, 0.134872392, 0.134838507, 0.134804726,
  0.134770855, 0.134737089, 0.134703353, 0.134669617, 0.134635851, 0.134602204, 0.134568468, 0.134534851,
  0.134501204, 0.134467617, 0.134434044, 0.134400472, 0.134366915, 0.134333417, 0.134299904, 0.134266451,
  0.134233013, 0.134199589, 0.134166196, 0.134132788, 0.134099439, 0.13406612, 0.134032786, 0.133999497,
  0.133966222, 0.133932963, 0.133899778, 0.133866563, 0.133833379, 0.133800223, 0.133767053, 0.133734003,
  0.133700877, 0.133667812, 0.133634791, 0.13360174, 0.133568749, 0.133535773, 0.133502796, 0.13346988,
  0.133436933, 0.133404061, 0.133371174, 0.133338317, 0.133305505, 0.133272678, 0.133239955, 0.133207187,
  0.13317439, 0.133141711, 0.133109003, 0.133076325, 0.133043692, 0.133011043, 0.132978439, 0.132945821,
  0.132913291, 0.132880747, 0.132848218, 0.132815704, 0.132783234, 0.13275075, 0.132718325, 0.1326859,
  0.132653534, 0.132621124, 0.132588789, 0.132556453, 0.132524148, 0.132491842, 0.132459566, 0.13242732,
  0.132395074, 0.132362902, 0.132330731, 0.132298544, 0.132266417, 0.132234275, 0.132202178, 0.132170096,
  0.132138014, 0.132106006, 0.132073984, 0.132041976, 0.132010028, 0.131978065, 0.131946117, 0.131914198,
  0.13188234, 0.131850451, 0.131818607, 0.131786779, 0.131754935, 0.131723151, 0.131691396, 0.131659642,
  0.131627917, 0.131596237, 0.131564558, 0.131532863, 0.131501228, 0.131469607, 0.131437972, 0.131406397,
  0.131374821, 0.131343305, 0.131311744, 0.131280243, 0.131248802, 0.131217316, 0.131185859, 0.131154448,
  0.131123066, 0.131091669, 0.131060302, 0.13102895, 0.130997658, 0.130966321, 0.130935058, 0.13090378,
  0.130872563, 0.130841315, 0.130810127, 0.130778968, 0.13074778, 0.130716622, 0.130685508, 0.13065441,
  0.130623356, 0.130592257, 0.130561218, 0.130530179, 0.130499199, 0.13046822, 0.13043724, 0.13040629,
  0.130375385, 0.130344495, 0.130313605, 0.130282715, 0.13025187, 0.130221009, 0.130190223, 0.130159467,
  0.130128682, 0.130097926, 0.130067199, 0.130036503, 0.130005807, 0.129975125, 0.129944474, 0.129913867,
  0.129883245, 0.129852608, 0.129822046, 0.129791513, 0.129760951, 0.129730433, 0.129699931, 0.129669443,
  0.129638985, 0.129608557, 0.129578128, 0.12954773, 0.129517376, 0.129486978, 0.129456639, 0.129426315,
  0.129396021, 0.129365712, 0.129335448, 0.129305199, 0.129274964, 0.12924476, 0.129214555, 0.129184365,
  0.129154205, 0.12912409, 0.12909396, 0.12906386, 0.129033744, 0.129003733, 0.128973648, 0.128943652,
  0.128913656, 0.12888363, 0.128853649, 0.128823742, 0.128793761, 0.128763869, 0.128733948, 0.128704086,
  0.128674209, 0.128644407, 0.128614575, 0.128584772, 0.128554985, 0.128525212, 0.128495455, 0.128465712,
  0.128435999, 0.128406301, 0.128376618, 0.128347009, 0.128317326, 0.128287733, 0.128258109, 0.12822853,
  0.128198981, 0.128169388, 0.128139868, 0.128110364, 0.12808086, 0.1280514, 0.128021955, 0.127992496,
  0.127963081, 0.127933681, 0.127904296, 0.127874911, 0.127845556, 0.127816215, 0.12778689, 0.127757594,
  0.127728328, 0.127699077, 0.127669826, 0.12764059, 0.127611369, 0.127582222, 0.127553031, 0.127523854,
  0.127494738, 0.127465621, 0.127436489, 0.127407432, 0.127378389, 0.127349302, 0.12732029, 0.127291232,
  0.127262279, 0.127233297, 0.127204314, 0.127175376, 0.127146453, 0.127117515, 0.127088621, 0.127059817,
  0.127030924, 0.12700209, 0.126973256, 0.126944453, 0.126915634, 0.126886889, 0.126858145, 0.126829401,
  0.126800686, 0.126771986, 0.126743332, 0.126714647, 0.126685977, 0.126657337, 0.126628727, 0.126600146,
  0.126571566, 0.126543, 0.126514435, 0.126485884, 0.126457393, 0.126428902, 0.126400411, 0.126371935,
  0.126343533, 0.126315087, 0.126286671, 0.126258269, 0.126229882, 0.126201525, 0.126173183, 0.126144841,
  0.126116559, 0.126088262, 0.126059994, 0.126031727, 0.126003459, 0.125975221, 0.125947058, 0.125918865,
  0.125890642, 0.125862494, 0.125834346, 0.125806212, 0.125778124, 0.125750035, 0.125721946, 0.125693887,
  0.125665858, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0,
};

constexpr size_t WTB_WEIGHT_COUNT = 8193;
const float WTB_WEIGHT[8193] = {
  0.403923929, 0.433800817, 0.452990413, 0.467387497, 0.479003489, 0.488784701, 0.497257292, 0.504745364,
  0.511464059, 0.517563581, 0.523153305, 0.528315425, 0.53311342, 0.537597299, 0.541807175, 0.545776069,
  0.549530923, 0.553094566, 0.556486189, 0.559722185, 0.562816739, 0.565781951, 0.568628669, 0.571366251,
  0.574002981, 0.576546252, 0.579002619, 0.581378043, 0.583677769, 0.585906625, 0.588068902, 0.590168655,
  0.592209399, 0.594194472, 0.596126795, 0.598009288, 0.599844456, 0.601634681, 0.603382111, 0.60508877,
  0.606756687, 0.60838747, 0.609982729, 0.611544132, 0.613073051, 0.614570796, 0.61603874, 0.617477894,
  0.618889511, 0.620274544, 0.621634126, 0.622968972, 0.624280214, 0.625568449, 0.626834631, 0.628079474,
  0.629303753, 0.630508006, 0.631692946, 0.63285923, 0.634007394, 0.635137916, 0.636251509, 0.637348592,
  0.638429582, 0.639495015, 0.640545309, 0.641580999, 0.642602265, 0.643609703, 0.64460361, 0.645584285,
  0.646552145, 0.647507548, 0.648450792, 0.649382114, 0.650301874, 0.651210368, 0.652107775, 0.652994514,
  0.653870702, 0.654736638, 0.655592501, 0.656438649, 0.6572752, 0.658102393, 0.658920407, 0.659729481,
  0.660529792, 0.661321521, 0.662104964, 0.662880003, 0.663647115, 0.6644063, 0.665157735, 0.665901661,
  0.666638136, 0.667367339, 0.66808939, 0.668804467, 0.66951263, 0.670214117, 0.670908988, 0.671597302,
  0.672279298, 0.672955036, 0.673624635, 0.674288154, 0.674945831, 0.675597608, 0.676243663, 0.676884174,
  0.677519023, 0.678148568, 0.678772688, 0.679391563, 0.680005312, 0.680613935, 0.681217551, 0.68181622,
  0.682410121, 0.682999253, 0.683583677, 0.684163451, 0.684738576, 0.68530941, 0.685875773, 0.686437786,
  0.686995447, 0.687548995, 0.688098311, 0.688643575, 0.689184785, 0.689722061, 0.690255404, 0.690784812,
  0.691310465, 0.691832364, 0.692350566, 0.692865133, 0.693376064, 0.693883419, 0.694387317, 0.694887757,
  0.695384681, 0.695878327, 0.696368635, 0.696855724, 0.697339535, 0.697820187, 0.698297501, 0.698771894,
  0.699243128, 0.699711382, 0.700176597, 0.700638831, 0.701098263, 0.701554656, 0.702008188, 0.702458978,
  0.702907026, 0.703352273, 0.703794777, 0.70423454, 0.7046718, 0.705106378, 0.705538273, 0.705967665,
  0.706394494, 0.706818879, 0.70724076, 0.707660139, 0.708077192, 0.708491802, 0.708904028, 0.709313929,
  0.709721565, 0.710126817, 0.710529864, 0.710930645, 0.711329222, 0.711725593, 0.712119758, 0.712511778,
  0.712901711, 0.713289559, 0.71367532, 0.714058995, 0.714440644, 0.714820266, 0.715197861, 0.715573549,
  0.715947211, 0.716318965, 0.716688812, 0.717056811, 0.717422843, 0.717787027, 0.718149364, 0.718509912,
  0.718868554, 0.719225585, 0.71958071, 0.719934106, 0.720285773, 0.720635712, 0.720983922, 0.721330523,
  0.721675336, 0.72201854, 0.722360075, 0.722700059, 0.723038316, 0.723375022, 0.723710179, 0.724043727,
  0.724375725, 0.724706233, 0.725035131, 0.725362539, 0.725688398, 0.726012886, 0.726335824, 0.726657271,
  0.726977348, 0.727295935, 0.727613151, 0.727928877, 0.728243232, 0.728556216, 0.728867769, 0.729178011,
  0.729486883, 0.729794383, 0.730100572, 0.73040545, 0.730709016, 0.731011271, 0.731312275, 0.731611907,
  0.731910408, 0.732207596, 0.732503474, 0.732798159, 0.733091593, 0.733383894, 0.733674884, 0.733964741,
  0.734253347, 0.73454082, 0.734827101, 0.73511225, 0.735396266, 0.73567909, 0.735960782, 0.7362414,
  0.736520827, 0.736799121, 0.737076402, 0.73735255, 0.737627625, 0.737901568, 0.738174558, 0.738446355,
  0.738717198, 0.738987029, 0.739255726, 0.73952347, 0.739790082, 0.740055799, 0.740320444, 0.740584075,
  0.740846813, 0.741108477, 0.741369128, 0.741628885, 0.741887689, 0.742145479, 0.742402315, 0.742658257,
  0.742913187, 0.743167222, 0.743420362, 0.743672609, 0.743923843, 0.744174242, 0.744423747, 0.744672358,
  0.744920015, 0.745166838, 0.745412827, 0.745657861, 0.745902121, 0.746145487, 0.746387959, 0.746629596,
  0.746870399, 0.747110367, 0.74734956, 0.74758786, 0.747825384, 0.748062074, 0.74829793, 0.74853307,
  0.748767316, 0.749000847, 0.749233544, 0.749465466, 0.749696612, 0.749926984, 0.750156522, 0.750385404,
  0.750613451, 0.750840783, 0.7510674, 0.751293242, 0.751518309, 0.751742661, 0.751966298, 0.752189219,
  0.752411366, 0.752632856, 0.752853572, 0.753073633, 0.753292978, 0.753511667, 0.753729582, 0.753946841,
  0.754163384, 0.754379272, 0.754594505, 0.754809022, 0.755022883, 0.75523603, 0.755448639, 0.755660474,
  0.755871713, 0.756082237, 0.756292164, 0.756501436, 0.756710052, 0.756918073, 0.757125378, 0.757332146,
  0.757538199, 0.757743776, 0.757948577, 0.758152843, 0.758356452, 0.758559525, 0.758761942, 0.758963764,
  0.759164989, 0.759365678, 0.759565651, 0.759765089, 0.759963989, 0.760162234, 0.760359943, 0.760557175,
  0.760753632, 0.760949671, 0.761145115, 0.761339962, 0.761534274, 0.761727989, 0.761921227, 0.762113869,
  0.762305915, 0.762497485, 0.762688518, 0.762878954, 0.763068914, 0.763258338, 0.763447165, 0.763635576,
  0.76382333, 0.764010608, 0.764197409, 0.764383674, 0.764569461, 0.764754713, 0.764939427, 0.765123606,
  0.765307307, 0.765490592, 0.76567328, 0.765855491, 0.766037226, 0.766218483, 0.766399205, 0.766579509,
  0.766759276, 0.766938567, 0.767117321, 0.767295778, 0.767473578, 0.767651021, 0.767827928, 0.768004417,
  0.76818037, 0.768355966, 0.768531024, 0.768705666, 0.768879831, 0.769053519, 0.769226789, 0.769399643,
  0.76957196, 0.769743919, 0.769915402, 0.770086408, 0.770256996, 0.770427167, 0.770596921, 0.770766199,
  0.770935059, 0.771103561, 0.771271586, 0.771439195, 0.771606386, 0.77177316, 0.771939456, 0.772105396,
  0.772270858, 0.772435963, 0.77260071, 0.772764981, 0.772928774, 0.77309227, 0.773255408, 0.773418009,
  0.773580313, 0.773742139, 0.773903668, 0.77406472, 0.774225473, 0.77438575, 0.77454561, 0.774705172,
  0.774864316, 0.775023103, 0.775181472, 0.775339484, 0.775497079, 0.775654316, 0.775811195, 0.775967717,
  0.776123881, 0.776279628, 0.776435018, 0.776590049, 0.776744664, 0.77689898, 0.777052939, 0.77720654,
  0.777359784, 0.77751255, 0.777665079, 0.777817249, 0.777969062, 0.778120577, 0.778271675, 0.778422415,
  0.778572857, 0.778722882, 0.778872609, 0.779022038, 0.779171109, 0.779319763, 0.779468179, 0.779616177,
  0.779763877, 0.77991128, 0.780058324, 0.780205011, 0.7803514, 0.780497432, 0.780643165, 0.780788541,
  0.780933678, 0.781078458, 0.78122282, 0.781366944, 0.78151077, 0.781654239, 0.781797409, 0.781940281,
  0.782082796, 0.782225013, 0.782366991, 0.782508552, 0.782649815, 0.78279084, 0.782931566, 0.783071935,
  0.783212006, 0.783351779, 0.783491254, 0.78363049, 0.783769369, 0.78390795, 0.784046233, 0.784184277,
  0.784321964, 0.784459352, 0.784596443, 0.784733295, 0.78486985, 0.785006166, 0.785142064, 0.785277784,
  0.785413146, 0.78554827, 0.785683155, 0.785817683, 0.785951972, 0.786085963, 0.786219656, 0.786353111,
  0.786486328, 0.786619186, 0.786751807, 0.786884189, 0.787016213, 0.787148058, 0.787279606, 0.787410855,
  0.787541866, 0.787672579, 0.787803113, 0.78793323, 0.788063169, 0.788192868, 0.78832233, 0.788451493,
  0.788580358, 0.788709044, 0.788837373, 0.788965523, 0.789093375, 0.789220989, 0.789348423, 0.789475501,
  0.789602339, 0.78972894, 0.789855301, 0.789981425, 0.79010731, 0.790232897, 0.790358245, 0.790483356,
  0.790608287, 0.79073292, 0.790857315, 0.790981472, 0.79110533, 0.791229069, 0.791352451, 0.791475713,
  0.791598618, 0.791721404, 0.791843832, 0.791966081, 0.792088151, 0.792209864, 0.792331457, 0.792452753,
  0.792573869, 0.792694688, 0.792815328, 0.792935729, 0.793055892, 0.793175817, 0.793295562, 0.79341501,
  0.793534279, 0.793653369, 0.793772161, 0.793890774, 0.794009149, 0.794127345, 0.794245303, 0.794362962,
  0.794480503, 0.794597805, 0.794714808, 0.794831693, 0.794948339, 0.795064747, 0.795180976, 0.795296967,
  0.795412719, 0.795528352, 0.795643687, 0.795758784, 0.795873702, 0.795988441, 0.796102941, 0.796217322,
  0.796331406, 0.79644531, 0.796559036, 0.796672523, 0.796785831, 0.796898842, 0.797011733, 0.797124445,
  0.797236919, 0.797349215, 0.797461271, 0.797573149, 0.797684848, 0.797796309, 0.797907591, 0.798018694,
  0.798129559, 0.798240244, 0.798350751, 0.79846108, 0.798571169, 0.79868108, 0.798790812, 0.798900366,
  0.79900974, 0.799118876, 0.799227834, 0.799336612, 0.799445212, 0.799553573, 0.799661756, 0.799769878,
  0.799877703, 0.79998529, 0.800092757, 0.800200045, 0.800307155, 0.800414085, 0.800520837, 0.80062741,
  0.800733685, 0.800839901, 0.800945938, 0.801051795, 0.801157355, 0.801262856, 0.801368117, 0.80147326,
  0.801578224, 0.801683009, 0.801787555, 0.801891923, 0.801996171, 0.802100241, 0.802204132, 0.802307904,
  0.802411377, 0.802514732, 0.802617967, 0.802720964, 0.802823842, 0.802926481, 0.803029001, 0.803131402,
  0.803233564, 0.803335607, 0.803437412, 0.803539097, 0.803640544, 0.803741932, 0.803843081, 0.803944111,
  0.804044962, 0.804145634, 0.804246128, 0.804346502, 0.804446697, 0.804546714, 0.804646611, 0.80474627,
  0.80484587, 0.80494523, 0.805044413, 0.805143535, 0.805242419, 0.805341125, 0.80543977, 0.805538237,
  0.805636466, 0.805734634, 0.805832565, 0.805930376, 0.806028068, 0.806125522, 0.806222856, 0.806320071,
  0.806417108, 0.806513965, 0.806610703, 0.806707263, 0.806803763, 0.806899965, 0.806996107, 0.80709213,
  0.807187915, 0.80728358, 0.807379127, 0.807474494, 0.807569742, 0.807664871, 0.807759762, 0.807854533,
  0.807949185, 0.808043718, 0.808138072, 0.808232248, 0.808326304, 0.808420241, 0.808513999, 0.808607638,
  0.808701098, 0.808794439, 0.808887661, 0.808980763, 0.809073627, 0.809166372, 0.809259057, 0.809351504,
  0.809443891, 0.809536099, 0.809628248, 0.809720159, 0.80981195, 0.809903622, 0.809995115, 0.810086489,
  0.810177743, 0.810268819, 0.810359836, 0.810450673, 0.810541391, 0.810631931, 0.810722351, 0.810812712,
  0.810902834, 0.810992897, 0.811082721, 0.811172485, 0.81126219, 0.811351657, 0.811441004, 0.811530292,
  0.811619401, 0.811708391, 0.811797202, 0.811885953, 0.811974466, 0.812062979, 0.812151253, 0.812239528,
  0.812327623, 0.81241554, 0.812503338, 0.812591016, 0.812678576, 0.812766016, 0.812853336, 0.812940478,
  0.813027561, 0.813114524, 0.813201249, 0.813287973, 0.813374519, 0.813460946, 0.813547313, 0.813633442,
  0.813719511, 0.813805461, 0.813891292, 0.813976943, 0.814062595, 0.814147949, 0.814233303, 0.814318538,
  0.814403653, 0.81448859, 0.814573467, 0.814658225, 0.814742804, 0.814827263, 0.814911664, 0.814995885,
  0.815080047, 0.815164089, 0.815248013, 0.815331757, 0.815415442, 0.815499008, 0.815582395, 0.815665722,
  0.81574893, 0.815832019, 0.815914989, 0.815997839, 0.81608057, 0.816163182, 0.816245675, 0.816328108,
  0.816410422, 0.816492617, 0.816574693, 0.816656649, 0.816738427, 0.816820204, 0.816901803, 0.816983342,
  0.817064703, 0.817145944, 0.817227185, 0.817308187, 0.81738919, 0.817470014, 0.817550719, 0.817631364,
  0.81771189, 0.817792296, 0.817872584, 0.817952752, 0.818032861, 0.81811285, 0.81819272, 0.818272412,
  0.818352044, 0.818431616, 0.818511069, 0.818590403, 0.818669617, 0.818748772, 0.818827748, 0.818906665,
  0.818985462, 0.8190642, 0.819142759, 0.819221258, 0.819299698, 0.819377959, 0.8194561, 0.819534183,
  0.819612205, 0.819690049, 0.819767833, 0.819845498, 0.819923043, 0.820000529, 0.820077896, 0.820155144,
  0.820232332, 0.820309401, 0.82038635, 0.82046324, 0.820539951, 0.820616603, 0.820693195, 0.820769668,
  0.820846081, 0.820922315, 0.82099849, 0.821074545, 0.821150541, 0.821226418, 0.821302176, 0.821377873,
  0.821453452, 0.821528971, 0.821604252, 0.821679592, 0.821754813, 0.821829855, 0.821904898, 0.821979821,
  0.822054625, 0.822129369, 0.822203994, 0.8222785, 0.822352946, 0.822427332, 0.82250154, 0.822575629,
  0.822649717, 0.822723746, 0.822797537, 0.822871327, 0.822945058, 0.82301867, 0.823092103, 0.823165536,
  0.82323885, 0.823312104, 0.823385239, 0.823458254, 0.82353121, 0.823604107, 0.823676884, 0.823749542,
  0.823822141, 0.82389462, 0.823967099, 0.8240394, 0.82411164, 0.824183762, 0.824255824, 0.824327767,
  0.82439965, 0.824471474, 0.824543118, 0.824614763, 0.824686348, 0.824757695, 0.824829042, 0.824900329,
  0.824971497, 0.825042605, 0.825113595, 0.825184524, 0.825255334, 0.825326145, 0.825396776, 0.825467348,
  0.825537801, 0.825608194, 0.825678527, 0.825748801, 0.825818896, 0.825888932, 0.825958967, 0.826028824,
  0.826098621, 0.826168358, 0.826238036, 0.826307595, 0.826377094, 0.826446474, 0.826515734, 0.826584995,
  0.826654136, 0.826723218, 0.826792181, 0.826861084, 0.826929927, 0.826998591, 0.827067256, 0.827135861,
  0.827204347, 0.827272713, 0.82734108, 0.827409267, 0.827477455, 0.827545524, 0.827613592, 0.827681482,
  0.827749372, 0.827817082, 0.827884793, 0.827952385, 0.828019977, 0.828087389, 0.828154743, 0.828222036,
  0.82828927, 0.828356385, 0.82842344, 0.828490436, 0.828557312, 0.828624189, 0.828690946, 0.828757584,
  0.828824162, 0.828890681, 0.82895714, 0.82902348, 0.829089761, 0.829155982, 0.829222143, 0.829288185,
  0.829354167, 0.82942003, 0.829485893, 0.829551637, 0.829617321, 0.829682946, 0.829748452, 0.829813898,
  0.829879284, 0.829944611, 0.830009818, 0.830074966, 0.830140114, 0.830205083, 0.830270052, 0.830334902,
  0.830399692, 0.830464363, 0.830529034, 0.830593586, 0.830658078, 0.830722511, 0.830786884, 0.830851138,
  0.830915391, 0.830979526, 0.831043601, 0.831107557, 0.831171513, 0.831235349, 0.831299067, 0.831362784,
  0.831426382, 0.83149004, 0.831553459, 0.831616938, 0.831680298, 0.831743538, 0.831806779, 0.8318699,
  0.831932962, 0.831995964, 0.832058907, 0.832121789, 0.832184553, 0.832247257, 0.832309961, 0.832372546,
  0.832435071, 0.832497478, 0.832559884, 0.83262217, 0.832684398, 0.832746625, 0.832808733, 0.832870781,
  0.832932711, 0.83299464, 0.83305645, 0.83311826, 0.833179951, 0.833241582, 0.833303154, 0.833364666,
  0.833426058, 0.833487451, 0.833548725, 0.833609998, 0.833671153, 0.833732247, 0.833793283, 0.833854198,
  0.833915174, 0.83397603, 0.834036767, 0.834097445, 0.834158182, 0.834218681, 0.834279239, 0.834339678,
  0.834400058, 0.834460378, 0.834520638, 0.834580839, 0.83464098, 0.834701002, 0.834761024, 0.834820986,
  0.834880829, 0.834940672, 0.835000396, 0.83506006, 0.835119724, 0.835179269, 0.835238755, 0.835298181,
  0.835357606, 0.835416853, 0.8354761, 0.835535288, 0.835594416, 0.835653484, 0.835712433, 0.835771382,
  0.835830271, 0.835889041, 0.835947812, 0.836006522, 0.836065114, 0.836123705, 0.836182177, 0.836240649,
  0.836299062, 0.836357355, 0.836415589, 0.836473823, 0.836531937, 0.836589992, 0.836648047, 0.836705983,
  0.836763918, 0.836821795, 0.836879551, 0.836937249, 0.836994946, 0.837052524, 0.837110102, 0.837167501,
  0.83722496, 0.8372823, 0.83733964, 0.83739686, 0.837454081, 0.837511182, 0.837568283, 0.837625265,
  0.837682247, 0.83773911, 0.837795973, 0.837852776, 0.83790946, 0.837966144, 0.838022768, 0.838079333,
  0.838135839, 0.838192225, 0.83824861, 0.838304937, 0.838361204, 0.838417411, 0.838473558, 0.838529646,
  0.838585734, 0.838641703, 0.838697612, 0.838753462, 0.838809311, 0.838865042, 0.838920772, 0.838976383,
  0.839031994, 0.839087546, 0.839142978, 0.839198411, 0.839253783, 0.839309156, 0.839364409, 0.839419603,
  0.839474738, 0.839529812, 0.839584887, 0.839639843, 0.839694798, 0.839749694, 0.839804471, 0.839859247,
  0.839913964, 0.839968622, 0.84002322, 0.840077758, 0.840132296, 0.840186715, 0.840241134, 0.840295434,
  0.840349734, 0.840403974, 0.840458155, 0.840512276, 0.840566337, 0.840620339, 0.840674341, 0.840728283,
  0.840782106, 0.840835929, 0.840889692, 0.840943396, 0.84099704, 0.841050625, 0.841104209, 0.841157675,
  0.841211081, 0.841264486, 0.841317892, 0.841371179, 0.841424346, 0.841477573, 0.84153074, 0.841583788,
  0.841636837, 0.841689825, 0.841742754, 0.841795623, 0.841848433, 0.841901243, 0.841953933, 0.842006624,
  0.842059255, 0.842111766, 0.842164338, 0.84221679, 0.842269242, 0.842321634, 0.842373908, 0.84242624,
  0.842478454, 0.842530608, 0.842582762, 0.842634797, 0.842686892, 0.842738807, 0.842790723, 0.842842638,
  0.842894495, 0.842946231, 0.842997968, 0.843049645, 0.843101263, 0.843152881, 0.843204439, 0.843255877,
  0.843307316, 0.843358755, 0.843410075, 0.843461394, 0.843512654, 0.843563855, 0.843614995, 0.843666077,
  0.843717098, 0.84376812, 0.843819082, 0.843869984, 0.843920887, 0.84397167, 0.844022453, 0.844073176,
  0.84412384, 0.844174504, 0.844225109, 0.844275653, 0.844326079, 0.844376504, 0.84442693, 0.844477296,
  0.844527602, 0.844577849, 0.844628036, 0.844678223, 0.844728351, 0.844778419, 0.844828427, 0.844878376,
  0.844928384, 0.844978213, 0.845028102, 0.845077872, 0.845127642, 0.845177293, 0.845227003, 0.845276594,
  0.845326185, 0.845375657, 0.845425189, 0.845474601, 0.845524013, 0.845573306, 0.845622659, 0.845671892,
  0.845721066, 0.84577024, 0.845819354, 0.845868468, 0.845917463, 0.845966458, 0.846015394, 0.84606427,
  0.846113145, 0.846161962, 0.846210718, 0.846259415, 0.846308112, 0.84635675, 0.846405327, 0.846453846,
  0.846502364, 0.846550882, 0.846599281, 0.84664762, 0.84669596, 0.846744239, 0.846792459, 0.84684068,
  0.84688884, 0.846936941, 0.846984982, 0.847033024, 0.847081065, 0.847128928, 0.84717685, 0.847224712,
  0.847272575, 0.847320318, 0.847368062, 0.847415745, 0.847463429, 0.847510993, 0.847558558, 0.847606063,
  0.847653568, 0.847700953, 0.847748339, 0.847795725, 0.847843051, 0.847890317, 0.847937524, 0.847984731,
  0.848031878, 0.848078966, 0.848125994, 0.848173022, 0.848219991, 0.848266959, 0.848313868, 0.848360717,
  0.848407507, 0.848454297, 0.848501027, 0.848547697, 0.848594368, 0.848640978, 0.84868753, 0.848734021,
  0.848780572, 0.848827004, 0.848873436, 0.848919809, 0.848966122, 0.849012375, 0.849058628, 0.849104881,
  0.849151015, 0.849197149, 0.849243224, 0.849289298, 0.849335253, 0.849381268, 0.849427223, 0.849473119,
  0.849518955, 0.849564791, 0.849610507, 0.849656284, 0.849701941, 0.849747598, 0.849793255, 0.849838793,
  0.849884331, 0.84992981, 0.849975288, 0.850020707, 0.850066066, 0.850111485, 0.850156784, 0.850202024,
  0.850247204, 0.850292444, 0.850337625, 0.850382686, 0.850427806, 0.850472808, 0.850517809, 0.850562811,
  0.850607693, 0.850652575, 0.850697458, 0.850742221, 0.850786984, 0.850831747, 0.850876451, 0.850921094,
  0.850965679, 0.851010323, 0.851054847, 0.851099312, 0.851143837, 0.851188242, 0.851232648, 0.851277053,
  0.85132134, 0.851365626, 0.851409853, 0.851454079, 0.851498246, 0.851542354, 0.851586521, 0.851630569,
  0.851674616, 0.851718545, 0.851762533, 0.851806462, 0.851850331, 0.8518942, 0.85193795, 0.851981759,
  0.852025509, 0.852069199, 0.852112889, 0.85215652, 0.852200031, 0.852243602, 0.852287173, 0.852330625,
  0.852374077, 0.852417469, 0.852460921, 0.852504194, 0.852547526, 0.852590799, 0.852634013, 0.852677226,
  0.85272038, 0.852763474, 0.852806628, 0.852849662, 0.852892697, 0.852935672, 0.852978647, 0.853021562,
  0.853064418, 0.853107274, 0.85315007, 0.853192866, 0.853235602, 0.853278279, 0.853320956, 0.853363633,
  0.85340625, 0.853448808, 0.853491306, 0.853533864, 0.853576303, 0.853618681, 0.85366112, 0.853703499,
  0.853745818, 0.853788137, 0.853830397, 0.853872597, 0.853914797, 0.853956938, 0.853999078, 0.854041159,
  0.85408324, 0.854125261, 0.854167223, 0.854209185, 0.854251087, 0.854292989, 0.854334891, 0.854376733,
  0.854418457, 0.854460239, 0.854501963, 0.854543626, 0.85458529, 0.854626894, 0.854668498, 0.854710042,
  0.854751527, 0.854793072, 0.854834497, 0.854875982, 0.854917347, 0.854958653, 0.855000019, 0.855041325,
  0.855082572, 0.855123758, 0.855164945, 0.855206132, 0.855247259, 0.855288386, 0.855329454, 0.855370462,
  0.85541147, 0.855452418, 0.855493367, 0.855534315, 0.855575144, 0.855615973, 0.855656803, 0.855697632,
  0.855738342, 0.855779052, 0.855819702, 0.855860412, 0.855901003, 0.855941534, 0.855982125, 0.856022656,
  0.856063128, 0.856103599, 0.856144011, 0.856184423, 0.856224835, 0.856265068, 0.85630542, 0.856345713,
  0.856385887, 0.85642612, 0.856466293, 0.856506467, 0.856546581, 0.856586635, 0.856626689, 0.856666684,
  0.856706738, 0.856746674, 0.856786609, 0.856826484, 0.85686636, 0.856906176, 0.856945992, 0.856985748,
  0.857025504, 0.857065201, 0.857104897, 0.857144535, 0.857184172, 0.857223809, 0.857263327, 0.857302845,
  0.857342362, 0.857381821, 0.857421279, 0.857460678, 0.857500076, 0.857539415, 0.857578695, 0.857618034,
  0.857657313, 0.857696533, 0.857735753, 0.857774913, 0.857814014, 0.857853174, 0.857892215, 0.857931316,
  0.857970297, 0.858009279, 0.85804826, 0.858087182, 0.858126104, 0.858164966, 0.858203828, 0.858242631,
  0.858281434, 0.858320177, 0.85835892, 0.858397603, 0.858436286, 0.85847497, 0.858513534, 0.858552158,
  0.858590722, 0.858629167, 0.858667731, 0.858706176, 0.858744621, 0.858783007, 0.858821392, 0.858859777,
  0.858898103, 0.858936369, 0.858974636, 0.859012842, 0.859051108, 0.859089255, 0.859127462, 0.859165549,
  0.859203637, 0.859241724, 0.859279752, 0.85931778, 0.859355748, 0.859393716, 0.859431624, 0.859469593,
  0.859507382, 0.85954529, 0.85958308, 0.859620869, 0.859658599, 0.859696329, 0.859734058, 0.859771729,
  0.859809339, 0.85984695, 0.85988456, 0.859922171, 0.859959662, 0.859997153, 0.860034645, 0.860072136,
  0.860109568, 0.86014694, 0.860184312, 0.860221684, 0.860258996, 0.860296249, 0.860333562, 0.860370815,
  0.860408008, 0.860445142, 0.860482335, 0.860519469, 0.860556543, 0.860593617, 0.860630631, 0.860667706,
  0.86070472, 0.860741615, 0.86077863, 0.860815465, 0.860852361, 0.860889256, 0.860926092, 0.860962868,
  0.860999644, 0.86103642, 0.861073136, 0.861109793, 0.86114645, 0.861183167, 0.861219764, 0.861256361,
  0.861292958, 0.861329436, 0.861365974, 0.861402452, 0.86143893, 0.861475348, 0.861511767, 0.861548185,
  0.861584485, 0.861620843, 0.861657202, 0.861693442, 0.861729681, 0.861765921, 0.861802101, 0.861838281,
  0.861874402, 0.861910522, 0.861946642, 0.861982703, 0.862018764, 0.862054765, 0.862090766, 0.862126708,
  0.862162709, 0.862198591, 0.862234533, 0.862270355, 0.862306178, 0.862342, 0.862377822, 0.862413526,
  0.862449348, 0.862485051, 0.862520754, 0.862556338, 0.862591982, 0.862627625, 0.862663209, 0.862698793,
  0.862734318, 0.862769842, 0.862805307, 0.862840772, 0.862876236, 0.862911642, 0.862947047, 0.862982392,
  0.863017738, 0.863053024, 0.86308831, 0.863123596, 0.863158822, 0.863194048, 0.863229275, 0.863264382,
  0.863299549, 0.863334656, 0.863369763, 0.86340481, 0.863439858, 0.863474846, 0.863509893, 0.863544822,
  0.86357981, 0.863614678, 0.863649607, 0.863684475, 0.863719344, 0.863754153, 0.863788962, 0.863823712,
  0.863858461, 0.863893211, 0.863927901, 0.863962531, 0.863997221, 0.864031851, 0.864066482, 0.864101052,
  0.864135623, 0.864170194, 0.864204705, 0.864239156, 0.864273667, 0.864308059, 0.864342511, 0.864376903,
  0.864411235, 0.864445567, 0.864479899, 0.864514232, 0.864548504, 0.864582717, 0.86461699, 0.864651203,
  0.864685357, 0.86471951, 0.864753604, 0.864787757, 0.864821911, 0.864855886, 0.864889979, 0.864924014,
  0.864957988, 0.864992023, 0.865025878, 0.865059793, 0.865093708, 0.865127623, 0.865161479, 0.865195274,
  0.86522913, 0.865262926, 0.865296662, 0.865330398, 0.865364134, 0.865397811, 0.865431547, 0.865465164,
  0.865498781, 0.865532398, 0.865565956, 0.865599513, 0.86563307, 0.865666568, 0.865700126, 0.865733564,
  0.865767002, 0.865800381, 0.865833819, 0.865867198, 0.865900576, 0.865933895, 0.865967214, 0.866000533,
  0.866033792, 0.866067052, 0.866100252, 0.866133451, 0.866166651, 0.866199791, 0.866232932, 0.866266012,
  0.866299152, 0.866332173, 0.866365194, 0.866398275, 0.866431236, 0.866464257, 0.866497219, 0.86653012,
  0.866563082, 0.866595924, 0.866628826, 0.866661668, 0.86669451, 0.866727293, 0.866760075, 0.866792798,
  0.866825581, 0.866858304, 0.866890967, 0.86692369, 0.866956294, 0.866988957, 0.867021561, 0.867054164,
  0.867086709, 0.867119253, 0.867151797, 0.867184281, 0.867216766, 0.86724925, 0.867281675, 0.8673141,
  0.867346466, 0.867378891, 0.867411196, 0.867443562, 0.867475867, 0.867508173, 0.867540419, 0.867572665,
  0.867604911, 0.867637098, 0.867669284, 0.867701471, 0.867733598, 0.867765725, 0.867797792, 0.867829919,
  0.867861986, 0.867893994, 0.867926002, 0.867958009, 0.867989957, 0.868021965, 0.868053854, 0.868085802,
  0.86811769, 0.868149579, 0.868181407, 0.868213236, 0.868245065, 0.868276834, 0.868308604, 0.868340373,
  0.868372083, 0.868403733, 0.868435442, 0.868467152, 0.868498743, 0.868530393, 0.868562043, 0.868593633,
  0.868625164, 0.868656695, 0.868688285, 0.868719757, 0.868751228, 0.868782699, 0.86881417, 0.868845582,
  0.868876934, 0.868908346, 0.868939698, 0.86897105, 0.869002342, 0.869033694, 0.869064927, 0.86909622,
  0.869127452, 0.869158685, 0.869189858, 0.869221032, 0.869252205, 0.869283378, 0.869314492, 0.869345605,
  0.869376659, 0.869407713, 0.869438767, 0.869469821, 0.869500816, 0.86953181, 0.869562745, 0.86959368,
  0.869624615, 0.86965549, 0.869686365, 0.8697173, 0.869748116, 0.869778991, 0.869809747, 0.869840562,
  0.869871318, 0.869902074, 0.869932771, 0.869963467, 0.869994223, 0.87002486, 0.870055497, 0.870086133,
  0.87011677, 0.870147407, 0.870177984, 0.870208502, 0.870239079, 0.870269537, 0.870300055, 0.870330572,
  0.87036103, 0.870391428, 0.870421886, 0.870452285, 0.870482624, 0.870513022, 0.870543361, 0.870573699,
  0.870603979, 0.870634317, 0.870664537, 0.870694816, 0.870725036, 0.870755255, 0.870785475, 0.870815635,
  0.870845795, 0.870875895, 0.870906055, 0.870936155, 0.870966256, 0.870996296, 0.871026337, 0.871056378,
  0.871086359, 0.87111634, 0.871146321, 0.871176243, 0.871206224, 0.871236145, 0.871266067, 0.871295929,
  0.871325791, 0.871355593, 0.871385455, 0.871415257, 0.871445, 0.871474802, 0.871504545, 0.871534288,
  0.871563971, 0.871593714, 0.871623397, 0.87165302, 0.871682703, 0.871712267, 0.871741891, 0.871771455,
  0.871801019, 0.871830642, 0.871860147, 0.871889651, 0.871919155, 0.8719486, 0.871978045, 0.872007489,
  0.872036934, 0.872066319, 0.872095704, 0.872125089, 0.872154474, 0.8721838, 0.872213125, 0.872242391,
  0.872271657, 0.872300923, 0.872330189, 0.872359395, 0.872388601, 0.872417748, 0.872446954, 0.872476161,
  0.872505248, 0.872534394, 0.872563481, 0.872592568, 0.872621596, 0.872650683, 0.87267971, 0.872708797,
  0.872737706, 0.872766733, 0.872795701, 0.872824609, 0.872853518, 0.872882485, 0.872911394, 0.872940183,
  0.872969091, 0.87299794, 0.873026729, 0.873055577, 0.873084366, 0.873113096, 0.873141885, 0.873170614,
  0.873199284, 0.873228014, 0.873256683, 0.873285353, 0.873314023, 0.873342633, 0.873371303, 0.873399854,
  0.873428404, 0.873457015, 0.873485565, 0.873514116, 0.873542607, 0.873571098, 0.873599589, 0.87362808,
  0.873656452, 0.873684943, 0.873713315, 0.873741746, 0.873770118, 0.87379849, 0.873826802, 0.873855174,
  0.873883426, 0.873911738, 0.873939991, 0.873968303, 0.873996556, 0.874024749, 0.874052942, 0.874081135,
  0.874109328, 0.874137521, 0.874165654, 0.874193788, 0.874221861, 0.874249935, 0.874278069, 0.874306142,
  0.874334157, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0,
};

constexpr size_t WTC_WEIGHT_COUNT = 8193;
const float WTC_WEIGHT[8193] = {
  0.0434764549, 0.0382316485, 0.0350741707, 0.0328116827, 0.031051822, 0.0296148434, 0.0284030214, 0.0273571871,
  0.0264387708, 0.0256212354, 0.0248855352, 0.0242174994, 0.0236063264, 0.0230436362, 0.0225227159, 0.0220381431,
  0.021585511, 0.0211611334, 0.0207619388, 0.0203852896, 0.0200289786, 0.0196910799, 0.0193699356, 0.0190640744,
  0.0187722426, 0.0184933152, 0.0182262938, 0.0179702863, 0.0177244991, 0.0174882226, 0.0172608141, 0.0170416944,
  0.0168303456, 0.0166262742, 0.0164290499, 0.0162382778, 0.0160535835, 0.0158746354, 0.0157011263, 0.0155327581,
  0.0153692765, 0.0152104311, 0.0150559982, 0.0149057582, 0.0147595322, 0.0146171087, 0.0144783305, 0.014343041,
  0.0142110884, 0.01408232, 0.013956612, 0.0138338357, 0.0137138749, 0.0135966232, 0.0134819616, 0.0133698061,
  0.0132600591, 0.0131526273, 0.0130474344, 0.0129443882, 0.0128434189, 0.012744464, 0.0126474435, 0.0125522995,
  0.0124589698, 0.0123673901, 0.0122775026, 0.0121892644, 0.0121026188, 0.0120175108, 0.0119339041, 0.0118517438,
  0.0117709916, 0.0116916113, 0.0116135515, 0.0115367882, 0.0114612784, 0.0113869859, 0.011313878, 0.0112419231,
  0.0111710988, 0.0111013567, 0.0110326847, 0.0109650502, 0.0108984262, 0.0108327819, 0.0107681053, 0.010704359,
  0.0106415246, 0.0105795935, 0.0105185173, 0.0104583027, 0.0103989132, 0.0103403302, 0.0102825407, 0.0102255251,
  0.0101692649, 0.0101137441, 0.0100589525, 0.0100048603, 0.00995146763, 0.00989874359, 0.00984668359, 0.00979527645,
  0.00974450074, 0.00969434436, 0.00964480266, 0.00959585514, 0.00954749621, 0.00949970726, 0.00945247803, 0.00940579642,
  0.00935965963, 0.00931405555, 0.00926896092, 0.00922438223, 0.0091803018, 0.00913671032, 0.00909359753, 0.00905096717,
  0.0090087885, 0.00896707643, 0.00892580301, 0.00888497103, 0.00884456839, 0.00880459044, 0.00876502972, 0.00872588437,
  0.00868713297, 0.00864877645, 0.00861081295, 0.00857322942, 0.00853601936, 0.00849918369, 0.00846271031, 0.00842658989,
  0.00839082245, 0.00835540425, 0.00832032133, 0.00828557927, 0.00825116131, 0.00821707398, 0.00818329584, 0.00814984087,
  0.00811669137, 0.00808384735, 0.00805130694, 0.0080190571, 0.00798710342, 0.0079554338, 0.00792404637, 0.0078929374,
  0.00786210317, 0.00783154089, 0.00780124124, 0.00777121028, 0.00774143171, 0.00771191157, 0.00768264197, 0.00765362103,
  0.0076248413, 0.0075963079, 0.00756801292, 0.00753994798, 0.00751211541, 0.00748451101, 0.00745713711, 0.0074299816,
  0.00740304403, 0.00737632345, 0.00734981801, 0.00732352072, 0.00729743345, 0.00727154873, 0.00724586891, 0.00722038653,
  0.00719510298, 0.00717001176, 0.00714511843, 0.00712041138, 0.00709589384, 0.00707156165, 0.00704740966, 0.00702344161,
  0.00699964911, 0.00697603496, 0.00695259823, 0.00692932541, 0.00690622488, 0.00688329665, 0.00686053326, 0.00683793658,
  0.00681550009, 0.00679321634, 0.00677110069, 0.00674913637, 0.00672733225, 0.00670567201, 0.00668416731, 0.00666281441,
  0.00664160633, 0.00662054913, 0.00659962883, 0.00657885801, 0.00655822642, 0.00653773034, 0.00651738141, 0.006497161,
  0.00647707982, 0.00645712903, 0.00643731095, 0.00641763071, 0.00639807293, 0.00637864601, 0.00635934016, 0.00634016376,
  0.00632111402, 0.00630218396, 0.00628337264, 0.00626468938, 0.00624611787, 0.00622766372, 0.00620933343, 0.00619110977,
  0.00617300626, 0.00615501171, 0.00613712985, 0.00611935928, 0.00610170048, 0.0060841497, 0.00606669998, 0.00604936667,
  0.00603213347, 0.00601500086, 0.00599798001, 0.00598105276, 0.00596423028, 0.00594750931, 0.00593088381, 0.00591436215,
  0.00589793501, 0.00588160194, 0.00586536899, 0.00584922638, 0.00583318248, 0.00581722846, 0.00580136431, 0.00578559469,
  0.00576991728, 0.00575432181, 0.00573882088, 0.0057234047, 0.00570808211, 0.00569283729, 0.00567768281, 0.00566261169,
  0.00564762391, 0.00563271623, 0.00561789749, 0.00560315792, 0.00558850076, 0.00557391951, 0.00555941975, 0.00554500148,
  0.00553065818, 0.00551639311, 0.00550220534, 0.00548809208, 0.00547405612, 0.00546009652, 0.00544620818, 0.00543239573,
  0.00541865407, 0.00540498784, 0.00539138867, 0.00537786493, 0.00536441058, 0.00535102515, 0.00533770863, 0.00532445777,
  0.00531128142, 0.00529817306, 0.00528512709, 0.00527214864, 0.00525923492, 0.00524638873, 0.00523360679, 0.00522088911,
  0.00520823803, 0.00519564748, 0.00518312072, 0.0051706573, 0.00515825395, 0.00514591346, 0.00513363024, 0.00512140943,
  0.00510924822, 0.00509714894, 0.00508510601, 0.00507312175, 0.00506119663, 0.00504933018, 0.00503751915, 0.00502576632,
  0.00501406891, 0.00500242366, 0.00499084173, 0.00497930916, 0.00496783108, 0.00495641027, 0.00494503835, 0.00493372558,
  0.0049224617, 0.00491125137, 0.00490009505, 0.00488898903, 0.00487793377, 0.00486693159, 0.00485597737, 0.00484507531,
  0.004834224, 0.00482341927, 0.00481266482, 0.00480195647, 0.00479130354, 0.00478069438, 0.00477013132, 0.00475962274,
  0.00474915281, 0.00473873364, 0.00472836336, 0.00471803593, 0.00470775459, 0.00469751842, 0.00468732743, 0.00467718206,
  0.00466708187, 0.00465702359, 0.00464701047, 0.00463703927, 0.00462711556, 0.00461723329, 0.00460739061, 0.0045975945,
  0.0045878347, 0.00457812427, 0.00456844969, 0.00455881935, 0.00454922952, 0.00453968067, 0.00453017, 0.00452070031,
  0.00451127114, 0.0045018848, 0.00449253386, 0.00448322296, 0.00447394466, 0.00446471432, 0.00445551844, 0.00444636261,
  0.00443724124, 0.00442815945, 0.00441911444, 0.00441010669, 0.00440113526, 0.00439220108, 0.00438330555, 0.00437444402,
  0.00436561881, 0.00435682712, 0.00434807222, 0.00433935272, 0.00433066953, 0.00432201987, 0.00431340327, 0.00430482253,
  0.00429627951, 0.0042877649, 0.00427928567, 0.00427083904, 0.0042624278, 0.00425404916, 0.00424570078, 0.00423738686,
  0.00422910601, 0.00422085682, 0.00421264023, 0.00420445856, 0.00419630343, 0.00418818323, 0.00418008957, 0.00417202804,
  0.00416400097, 0.00415600277, 0.00414803345, 0.00414009858, 0.00413219258, 0.00412431778, 0.00411646673, 0.00410865201,
  0.00410086103, 0.00409310358, 0.0040853722, 0.00407767436, 0.00407000212, 0.00406235876, 0.00405474287, 0.00404715585,
  0.00403959677, 0.00403206795, 0.00402456243, 0.00401708949, 0.00400963938, 0.00400221953, 0.0039948253, 0.00398745853,
  0.00398011925, 0.00397280743, 0.00396552077, 0.00395826157, 0.00395102473, 0.00394381769, 0.00393663533, 0.00392947998,
  0.00392234931, 0.00391524378, 0.00390816433, 0.00390111003, 0.00389408204, 0.0038870764, 0.0038800973, 0.00387314009,
  0.00386620942, 0.00385930296, 0.00385242049, 0.00384556432, 0.00383872981, 0.00383191695, 0.00382513274, 0.0038183697,
  0.00381162832, 0.00380491279, 0.00379822101, 0.00379155041, 0.00378490333, 0.00377827976, 0.00377167948, 0.00376510038,
  0.00375854224, 0.00375200971, 0.0037454979, 0.00373900705, 0.00373253948, 0.0037260924, 0.00371966837, 0.00371326739,
  0.0037068869, 0.0037005248, 0.00369418762, 0.00368787092, 0.00368157239, 0.00367529877, 0.0036690433, 0.0036628102,
  0.00365659734, 0.00365040265, 0.00364423241, 0.00363807986, 0.00363194989, 0.00362583739, 0.00361974514, 0.00361367478,
  0.00360762444, 0.00360159157, 0.00359557848, 0.00358958519, 0.00358361378, 0.00357765984, 0.00357172335, 0.00356580853,
  0.00355991093, 0.00355403288, 0.00354817417, 0.00354233268, 0.00353651051, 0.00353070768, 0.00352492207, 0.00351915532,
  0.00351340813, 0.0035076777, 0.00350196636, 0.00349627179, 0.00349059631, 0.0034849376, 0.00347929797, 0.00347367488,
  0.00346806855, 0.00346248318, 0.003456912, 0.00345135992, 0.00344582414, 0.00344030489, 0.00343480217, 0.00342931598,
  0.00342385028, 0.00341839879, 0.00341296592, 0.00340754702, 0.00340214651, 0.0033967623, 0.00339139416, 0.00338604231,
  0.00338070863, 0.00337538659, 0.00337008294, 0.00336479722, 0.00335952546, 0.00335426978, 0.00334902969, 0.00334380777,
  0.00333859958, 0.00333340699, 0.00332823023, 0.00332306721, 0.00331792189, 0.0033127924, 0.00330767431, 0.00330257579,
  0.0032974889, 0.00329241739, 0.00328736147, 0.00328232092, 0.00327729806, 0.00327228638, 0.00326729007, 0.00326230912,
  0.00325733912, 0.00325238891, 0.00324744964, 0.0032425255, 0.00323761674, 0.00323272077, 0.00322784018, 0.00322297262,
  0.0032181181, 0.00321328058, 0.003208454, 0.00320364442, 0.00319884578, 0.00319406204, 0.00318929111, 0.00318453507,
  0.00317978975, 0.00317505933, 0.00317034381, 0.00316564273, 0.00316095445, 0.00315627689, 0.00315161189, 0.00314696366,
  0.00314232591, 0.00313770259, 0.00313308998, 0.0031284939, 0.00312391017, 0.00311933504, 0.00311477622, 0.00311022997,
  0.00310569396, 0.00310117239, 0.00309666316, 0.00309216627, 0.00308768149, 0.00308320904, 0.00307874894, 0.00307430304,
  0.00306986715, 0.0030654436, 0.00306103216, 0.00305663468, 0.00305224559, 0.00304787024, 0.00304350723, 0.00303915609,
  0.00303481682, 0.0030304878, 0.00302617252, 0.00302186725, 0.00301757595, 0.00301329652, 0.00300902501, 0.00300476723,
  0.00300051924, 0.00299628498, 0.00299205887, 0.00298784813, 0.0029836453, 0.00297945412, 0.00297527481, 0.00297110504,
  0.00296694878, 0.00296280044, 0.0029586656, 0.00295454031, 0.00295042852, 0.00294632651, 0.00294223381, 0.00293815089,
  0.00293408125, 0.00293002115, 0.00292597245, 0.00292193121, 0.00291790348, 0.00291388505, 0.00290987804, 0.00290588033,
  0.0029018959, 0.00289791706, 0.00289395312, 0.002889995, 0.00288604968, 0.00288211391, 0.00287818909, 0.00287427567,
  0.00287036947, 0.00286647235, 0.00286258664, 0.00285871187, 0.00285484432, 0.00285098958, 0.00284714415, 0.0028433078,
  0.00283947866, 0.00283566257, 0.00283185532, 0.00282805716, 0.00282426993, 0.0028204897, 0.0028167204, 0.00281296205,
  0.00280921068, 0.00280547026, 0.00280173682, 0.00279801595, 0.0027943023, 0.00279059727, 0.00278690318, 0.00278321793,
  0.0027795413, 0.00277587562, 0.00277221669, 0.0027685666, 0.00276492699, 0.00276129623, 0.00275767432, 0.00275405915,
  0.00275045447, 0.0027468605, 0.00274327141, 0.00273969281, 0.00273612468, 0.0027325633, 0.00272901054, 0.00272546825,
  0.00272193272, 0.00271840743, 0.00271488912, 0.0027113792, 0.00270787766, 0.0027043866, 0.00270090229, 0.00269742799,
  0.00269395881, 0.00269050151, 0.0026870491, 0.0026836067, 0.00268017291, 0.00267674564, 0.00267332862, 0.00266991812,
  0.00266651763, 0.00266312365, 0.00265973643, 0.00265636086, 0.00265298993, 0.00264962926, 0.0026462751, 0.00264293072,
  0.002639591, 0.00263626338, 0.00263293996, 0.00262962491, 0.00262631988, 0.00262301951, 0.00261972705, 0.0026164446,
  0.00261316844, 0.00260990043, 0.00260663871, 0.00260338676, 0.00260013947, 0.00259690196, 0.00259367074, 0.00259044743,
  0.0025872339, 0.00258402317, 0.00258082384, 0.0025776308, 0.00257444195, 0.00257126498, 0.00256809196, 0.0025649271,
  0.00256176852, 0.00255861925, 0.00255547813, 0.00255233957, 0.00254921406, 0.00254609273, 0.00254297769, 0.00253987033,
  0.00253676926, 0.00253367564, 0.00253059017, 0.00252751051, 0.00252443855, 0.00252137077, 0.00251831277, 0.0025152606,
  0.00251221773, 0.00250917929, 0.00250614667, 0.00250312174, 0.00250010425, 0.00249709305, 0.00249408744, 0.00249108975,
  0.0024880995, 0.00248511508, 0.00248213648, 0.00247916556, 0.00247620046, 0.00247324305, 0.00247029122, 0.00246734521,
  0.00246440689, 0.00246147253, 0.00245854747, 0.00245562801, 0.00245271623, 0.00244981004, 0.00244690781, 0.00244401325,
  0.00244112592, 0.00243824441, 0.00243537012, 0.00243250164, 0.00242963899, 0.00242678192, 0.00242393045, 0.00242108805,
  0.00241824961, 0.00241541839, 0.00241259113, 0.00240977132, 0.00240695872, 0.00240414985, 0.00240134844, 0.00239855261,
  0.00239576236, 0.00239297934, 0.0023902019, 0.00238742982, 0.00238466333, 0.00238190242, 0.00237914873, 0.00237640063,
  0.00237365789, 0.0023709205, 0.00236819033, 0.00236546574, 0.00236274488, 0.00236003124, 0.00235732296, 0.00235462165,
  0.00235192594, 0.00234923395, 0.00234655058, 0.0023438693, 0.00234119524, 0.0023385263, 0.00233586296, 0.00233320659,
  0.00233055372, 0.00232790806, 0.00232526776, 0.00232263259, 0.00232000113, 0.00231737667, 0.00231475919, 0.0023121438,
  0.00230953679, 0.00230693514, 0.00230433559, 0.00230174442, 0.0022991586, 0.00229657628, 0.00229399931, 0.00229142909,
  0.00228886423, 0.00228630286, 0.00228374847, 0.00228119898, 0.00227865321, 0.00227611419, 0.0022735789, 0.00227104872,
  0.00226852507, 0.00226600678, 0.00226349197, 0.00226098392, 0.00225847936, 0.00225598156, 0.00225348724, 0.00225099968,
  0.00224851561, 0.00224603643, 0.00224356237, 0.0022410953, 0.00223863125, 0.00223617256, 0.00223371875, 0.00223126845,
  0.00222882489, 0.00222638459, 0.00222395104, 0.00222152239, 0.00221909722, 0.00221667695, 0.0022142618, 0.00221185153,
  0.00220944616, 0.00220704428, 0.00220464892, 0.00220225845, 0.00219987147, 0.00219748938, 0.00219511217, 0.00219273986,
  0.00219037267, 0.00218800851, 0.0021856511, 0.00218329532, 0.00218094746, 0.00217860145, 0.00217626174, 0.00217392715,
  0.00217159558, 0.00216926914, 0.00216694572, 0.00216462719, 0.00216231518, 0.00216000807, 0.00215770234, 0.00215540314,
  0.00215310813, 0.00215081754, 0.00214853138, 0.00214624801, 0.00214397046, 0.0021416978, 0.00213943049, 0.00213716645,
  0.00213490543, 0.0021326486, 0.00213039876, 0.00212815194, 0.00212590839, 0.00212366902, 0.00212143641, 0.00211920543,
  0.0021169784, 0.00211475836, 0.00211253995, 0.00211032643, 0.0021081164, 0.00210591289, 0.00210371241, 0.00210151565,
  0.00209932378, 0.00209713494, 0.00209495216, 0.002092771, 0.00209059543, 0.00208842335, 0.00208625523, 0.0020840927,
  0.00208193227, 0.00207977789, 0.00207762606, 0.00207547867, 0.00207333337, 0.00207119598, 0.00206905906, 0.00206692843,
  0.00206480152, 0.00206267694, 0.00206055678, 0.00205844198, 0.00205633021, 0.00205422053, 0.00205211691, 0.00205001794,
  0.00204792107, 0.00204582885, 0.00204373943, 0.00204165536, 0.00203957502, 0.00203749677, 0.00203542458, 0.00203335448,
  0.00203128974, 0.00202922709, 0.00202716887, 0.00202511437, 0.0020230636, 0.00202101655, 0.0020189723, 0.00201693387,
  0.00201489776, 0.00201286678, 0.0020108372, 0.00200881273, 0.0020067927, 0.00200477475, 0.002002761, 0.00200075121,
  0.00199874328, 0.0019967414, 0.00199474231, 0.00199274602, 0.00199075323, 0.00198876509, 0.00198678114, 0.00198479905,
  0.00198282301, 0.00198084675, 0.0019788763, 0.00197690958, 0.00197494542, 0.00197298569, 0.00197102944, 0.0019690753,
  0.00196712464, 0.00196517841, 0.00196323637, 0.00196129712, 0.00195935974, 0.00195742748, 0.00195549894, 0.00195357366,
  0.00195164967, 0.00194973219, 0.001947816, 0.00194590329, 0.00194399478, 0.00194208894, 0.00194018811, 0.00193828787,
  0.00193639402, 0.00193450134, 0.00193261215, 0.00193072646, 0.00192884414, 0.00192696531, 0.00192508998, 0.00192321721,
  0.00192134723, 0.00191948144, 0.00191761891, 0.00191575999, 0.00191390212, 0.00191205065, 0.00191020046, 0.00190835365,
  0.00190651009, 0.00190467085, 0.00190283265, 0.00190099934, 0.00189916871, 0.00189733994, 0.00189551606, 0.00189369475,
  0.00189187611, 0.00189006154, 0.00188824965, 0.00188643963, 0.00188463507, 0.00188283168, 0.00188103237, 0.00187923643,
  0.00187744165, 0.00187565153, 0.0018738634, 0.00187208073, 0.00187029771, 0.00186852098, 0.0018667453, 0.00186497148,
  0.00186320383, 0.00186143594, 0.00185967411, 0.00185791345, 0.00185615534, 0.00185440131, 0.00185264973, 0.0018509014,
  0.00184915564, 0.00184741325, 0.00184567261, 0.00184393581, 0.00184220308, 0.00184047152, 0.0018387445, 0.00183701795,
  0.00183529593, 0.00183357659, 0.00183185958, 0.00183014595, 0.00182843616, 0.00182672602, 0.00182502193, 0.0018233204,
  0.00182161992, 0.00181992329, 0.00181822991, 0.00181653898, 0.00181485049, 0.00181316456, 0.00181148166, 0.00180980202,
  0.00180812425, 0.00180645019, 0.00180477789, 0.00180310954, 0.00180144364, 0.00179978006, 0.00179811905, 0.00179646106,
  0.00179480563, 0.00179315265, 0.001791502, 0.00178985659, 0.00178821082, 0.0017865689, 0.00178493001, 0.00178329437,
  0.00178166036, 0.00178002811, 0.00177840097, 0.00177677418, 0.00177515042, 0.00177352992, 0.00177191233, 0.00177029718,
  0.00176868378, 0.00176707341, 0.00176546618, 0.00176386198, 0.0017622587, 0.00176065927, 0.00175906147, 0.0017574667,
  0.00175587437, 0.00175428495, 0.00175269728, 0.00175111333, 0.00174953043, 0.00174795184, 0.0017463736, 0.00174480048,
  0.00174322887, 0.00174165901, 0.00174009218, 0.00173852826, 0.00173696678, 0.00173540681, 0.00173384999, 0.00173229468,
  0.00173074252, 0.00172919384, 0.00172764692, 0.00172610162, 0.00172455923, 0.00172301917, 0.00172148214, 0.00171994732,
  0.00171841483, 0.00171688467, 0.00171535672, 0.00171383249, 0.00171230908, 0.001710788, 0.00170927052, 0.00170775398,
  0.00170624047, 0.00170473044, 0.00170322205, 0.00170171529, 0.00170021143, 0.00169870909, 0.00169721036, 0.00169571256,
  0.00169421837, 0.00169272581, 0.00169123604, 0.00168974791, 0.00168826326, 0.00168678025, 0.00168529886, 0.00168381957,
  0.00168234529, 0.00168087112, 0.00167939859, 0.00167792884, 0.00167646271, 0.0016749975, 0.00167353579, 0.0016720756,
  0.00167061691, 0.00166916114, 0.00166770688, 0.00166625553, 0.00166480627, 0.00166335935, 0.0016619151, 0.00166047248,
  0.00165903138, 0.00165759446, 0.00165615894, 0.00165472575, 0.00165329326, 0.00165186299, 0.00165043632, 0.00164901162,
  0.00164758728, 0.0016461669, 0.00164474943, 0.00164333417, 0.00164191832, 0.00164050539, 0.00163909583, 0.00163768837,
  0.00163628312, 0.00163487869, 0.00163347705, 0.0016320782, 0.00163068145, 0.00162928493, 0.00162789307, 0.00162650144,
  0.00162511191, 0.00162372575, 0.00162234053, 0.00162095798, 0.00161957752, 0.00161819917, 0.00161682302, 0.00161544757,
  0.00161407562, 0.00161270564, 0.00161133788, 0.00160997151, 0.00160860585, 0.00160724367, 0.00160588417, 0.00160452561,
  0.0016031696, 0.00160181569, 0.00160046399, 0.00159911357, 0.00159776595, 0.00159641902, 0.00159507431, 0.00159373216,
  0.00159239222, 0.00159105484, 0.00158971827, 0.00158838381, 0.00158705073, 0.00158572092, 0.00158439262, 0.0015830663,
  0.00158174138, 0.00158041855, 0.0015790977, 0.00157777895, 0.00157646346, 0.0015751475, 0.00157383422, 0.00157252292,
  0.00157121371, 0.00156990706, 0.00156860251, 0.00156729866, 0.00156599679, 0.00156469701, 0.00156339922, 0.0015621034,
  0.00156080967, 0.00155951665, 0.00155822746, 0.0015569391, 0.00155565212, 0.00155436771, 0.00155308458, 0.00155180297,
  0.0015505245, 0.00154924684, 0.00154797174, 0.00154669804, 0.0015454262, 0.00154415646, 0.00154288812, 0.00154162222,
  0.00154035783, 0.0015390953, 0.00153783348, 0.00153657433, 0.00153531763, 0.00153406174, 0.00153280853, 0.0015315559,
  0.00153030583, 0.00152905844, 0.00152781105, 0.00152656564, 0.00152532221, 0.0015240825, 0.00152284291, 0.00152160402,
  0.00152036897, 0.00151913462, 0.00151790155, 0.00151667104, 0.00151544181, 0.00151421514, 0.00151298917, 0.00151176576,
  0.00151054247, 0.00150932278, 0.00150810392, 0.00150688761, 0.00150567247, 0.00150445814, 0.00150324684, 0.00150203623,
  0.00150082819, 0.00149962085, 0.00149841665, 0.00149721361, 0.00149601139, 0.00149481161, 0.00149361312, 0.00149241532,
  0.00149121997, 0.00149002776, 0.00148883555, 0.0014876459, 0.00148645754, 0.00148527161, 0.00148408639, 0.00148290233,
  0.00148172094, 0.00148054061, 0.00147936225, 0.00147818518, 0.00147700997, 0.00147583534, 0.00147466385, 0.00147349306,
  0.0014723246, 0.00147115812, 0.00146999152, 0.00146882876, 0.00146766531, 0.001466505, 0.00146534655, 0.00146418868,
  0.0014630314, 0.00146187854, 0.00146072439, 0.00145957386, 0.00145842403, 0.00145727536, 0.00145612913, 0.00145498419,
  0.00145384169, 0.00145269919, 0.00145155855, 0.00145041966, 0.00144928321, 0.00144814677, 0.00144701335, 0.00144588004,
  0.00144474965, 0.00144362054, 0.00144249259, 0.00144136639, 0.00144024089, 0.00143911783, 0.00143799523, 0.0014368752,
  0.00143575633, 0.00143463921, 0.00143352267, 0.00143240858, 0.00143129507, 0.00143018516, 0.00142907526, 0.0014279671,
  0.00142686011, 0.00142575498, 0.00142465043, 0.00142354763, 0.00142244727, 0.00142134738, 0.00142024993, 0.00141915248,
  0.00141805806, 0.00141696411, 0.00141587202, 0.00141478097, 0.00141369237, 0.00141260494, 0.0014115182, 0.00141043367,
  0.00140934973, 0.00140826753, 0.0014071872, 0.00140610791, 0.00140503107, 0.00140395411, 0.00140288018, 0.00140180672,
  0.00140073441, 0.00139966398, 0.00139859458, 0.00139752752, 0.00139646046, 0.00139539514, 0.00139433157, 0.00139326917,
  0.00139220967, 0.00139114959, 0.00139009173, 0.00138903502, 0.00138798007, 0.00138692628, 0.00138587365, 0.00138482265,
  0.0013837734, 0.00138272531, 0.00138167839, 0.00138063135, 0.00137958792, 0.00137854484, 0.00137750304, 0.00137646345,
  0.00137542502, 0.00137438776, 0.00137335097, 0.00137231709, 0.00137128367, 0.00137025141, 0.00136922032, 0.00136819086,
  0.00136716315, 0.00136613648, 0.00136511156, 0.00136408722, 0.00136306509, 0.00136204343, 0.00136102294, 0.00136000477,
  0.00135898648, 0.00135797041, 0.00135695608, 0.00135594234, 0.00135493022, 0.00135391916, 0.0013529103, 0.00135190203,
  0.00135089434, 0.00134988886, 0.00134888384, 0.00134788116, 0.00134687999, 0.00134587835, 0.00134487997, 0.00134388159,
  0.00134288543, 0.00134188926, 0.00134089519, 0.00133990182, 0.00133891054, 0.00133791973, 0.00133693067, 0.00133594265,
  0.00133495627, 0.00133397046, 0.00133298675, 0.00133200421, 0.00133102271, 0.00133004284, 0.00132906286, 0.00132808462,
  0.00132710789, 0.00132613291, 0.00132515945, 0.00132418599, 0.00132321415, 0.00132224336, 0.00132127479, 0.00132030563,
  0.00131933915, 0.00131837314, 0.00131740875, 0.00131644658, 0.00131548382, 0.00131452316, 0.00131356355, 0.00131260499,
  0.00131164864, 0.00131069229, 0.00130973686, 0.00130878307, 0.00130783091, 0.00130687922, 0.00130592915, 0.00130498118,
  0.00130403368, 0.00130308676, 0.00130214193, 0.0013011971, 0.00130025425, 0.00129931315, 0.00129837252, 0.00129743281,
  0.00129649474, 0.00129555666, 0.00129462127, 0.0012936868, 0.00129275292, 0.00129181996, 0.00129088922, 0.00128995883,
  0.00128902961, 0.00128810189, 0.00128717523, 0.00128624949, 0.00128532539, 0.00128440233, 0.00128347916, 0.00128255866,
  0.00128163863, 0.00128071965, 0.00127980264, 0.00127888576, 0.00127797027, 0.00127705582, 0.00127614243, 0.00127523113,
  0.00127431971, 0.00127341039, 0.00127250096, 0.00127159315, 0.00127068744, 0.00126978208, 0.0012688773, 0.00126797508,
  0.00126707274, 0.00126617088, 0.0012652711, 0.00126437237, 0.00126347516, 0.00126257841, 0.0012616826, 0.00126078888,
  0.00125989504, 0.00125900225, 0.00125811156, 0.0012572218, 0.0012563325, 0.00125544413, 0.00125455728, 0.00125367206,
  0.00125278719, 0.00125190394, 0.00125101989, 0.00125013909, 0.00124925817, 0.00124837935, 0.00124750088, 0.00124662346,
  0.00124574755, 0.00124487258, 0.00124399795, 0.00124312495, 0.00124225288, 0.00124138186, 0.00124051224, 0.0012396425,
  0.00123877544, 0.00123790873, 0.00123704248, 0.0012361767, 0.00123531395, 0.00123445061, 0.00123358925, 0.00123272836,
  0.00123186945, 0.00123100984, 0.00123015232, 0.0012292969, 0.00122844079, 0.00122758606, 0.00122673193, 0.00122588023,
  0.001225029, 0.00122417859, 0.00122332876, 0.00122248032, 0.00122163235, 0.00122078636, 0.00121994072, 0.00121909613,
  0.00121825247, 0.0012174102, 0.00121656898, 0.00121572858, 0.00121488923, 0.00121404976, 0.00121321273, 0.00121237559,
  0.00121153996, 0.00121070631, 0.00120987196, 0.00120903912, 0.0012082078, 0.0012073773, 0.00120654725, 0.00120571814,
  0.00120489101, 0.00120406377, 0.0012032385, 0.00120241358, 0.00120158959, 0.00120076654, 0.00119994394, 0.00119912322,
  0.00119830249, 0.00119748421, 0.00119666522, 0.00119584869, 0.00119503215, 0.00119421701, 0.0011934028, 0.00119258894,
  0.00119177601, 0.00119096553, 0.00119015388, 0.00118934526, 0.00118853652, 0.00118772872, 0.00118692114, 0.0011861152,
  0.00118531054, 0.00118450692, 0.00118370249, 0.00118290109, 0.00118209969, 0.00118129957, 0.00118049991, 0.00117970153,
  0.00117890362, 0.00117810664, 0.00117731164, 0.00117651699, 0.00117572257, 0.0011749292, 0.00117413723, 0.0011733456,
  0.00117255538, 0.00117176608, 0.00117097772, 0.00117019017, 0.00116940297, 0.00116861728, 0.00116783241, 0.00116704893,
  0.00116626534, 0.00116548256, 0.00116470177, 0.00116392085, 0.00116314134, 0.0011623631, 0.00116158533, 0.00116080791,
  0.00116003188, 0.00115925679, 0.00115848205, 0.00115770858, 0.00115693605, 0.00115616445, 0.00115539366, 0.00115462381,
  0.00115385535, 0.00115308724, 0.0011523189, 0.00115155254, 0.00115078699, 0.00115002284, 0.00114925858, 0.00114849571,
  0.00114773412, 0.00114697241, 0.0011462121, 0.00114545214, 0.00114469416, 0.00114393583, 0.00114317855, 0.00114242197,
  0.00114166737, 0.00114091311, 0.00114015921, 0.00113940611, 0.00113865442, 0.00113790308, 0.00113715313, 0.00113640353,
  0.00113565475, 0.00113490724, 0.00113416021, 0.00113341457, 0.00113266916, 0.00113192515, 0.00113118044, 0.00113043818,
  0.00112969615, 0.00112895505, 0.00112821476, 0.00112747494, 0.00112673629, 0.00112599914, 0.00112526165, 0.00112452614,
  0.00112379051, 0.00112305512, 0.00112232158, 0.00112158887, 0.00112085661, 0.00112012506, 0.00111939386, 0.0011186651,
  0.00111793505, 0.00111720792, 0.00111648068, 0.00111575413, 0.00111502805, 0.00111430325, 0.00111357926, 0.00111285609,
  0.00111213326, 0.00111141184, 0.00111069018, 0.00110997027, 0.00110925082, 0.00110853266, 0.00110781484, 0.00110709784,
  0.00110638165, 0.00110566628, 0.00110495067, 0.00110423751, 0.00110352354, 0.00110281154, 0.00110210024, 0.00110138929,
  0.00110067916, 0.00109996938, 0.00109926192, 0.00109855377, 0.00109784689, 0.00109714095, 0.00109643524, 0.00109572988,
  0.00109502673, 0.00109432347, 0.0010936216, 0.00109292043, 0.00109221914, 0.00109151902, 0.00109081983, 0.00109012099,
  0.00108942296, 0.0010887261, 0.00108803017, 0.00108733401, 0.00108663971, 0.00108594564, 0.00108525238, 0.00108455995,
  0.00108386832, 0.00108317647, 0.00108248647, 0.00108179718, 0.00108110835, 0.00108042022, 0.00107973232, 0.00107904628,
  0.0010783606, 0.00107767468, 0.00107699062, 0.0010763068, 0.00107562367, 0.00107494148, 0.00107425952, 0.00107357942,
  0.00107289955, 0.00107221946, 0.00107154169, 0.00107086322, 0.0010701865, 0.00106950966, 0.00106883456, 0.00106815924,
  0.00106748473, 0.0010668115, 0.0010661385, 0.0010654669, 0.00106479554, 0.0010641244, 0.00106345408, 0.00106278562,
  0.00106211635, 0.00106144836, 0.0010607813, 0.00106011529, 0.00105944928, 0.00105878443, 0.00105811993, 0.00105745613,
  0.00105679361, 0.00105613144, 0.0010554695, 0.00105480885, 0.00105414854, 0.00105348893, 0.00105283014, 0.00105217204,
  0.00105151429, 0.00105085783, 0.00105020159, 0.00104954664, 0.00104889239, 0.00104823848, 0.00104758539, 0.00104693254,
  0.00104628096, 0.00104562961, 0.00104497862, 0.00104432832, 0.00104367977, 0.00104303157, 0.00104238361, 0.0010417368,
  0.00104109035, 0.00104044378, 0.00103979884, 0.00103915459, 0.00103851024, 0.00103786716, 0.00103722524, 0.00103658368,
  0.00103594281, 0.00103530171, 0.00103466189, 0.00103402336, 0.001033384, 0.00103274651, 0.00103210972, 0.0010314727,
  0.00103083788, 0.00103020237, 0.00102956756, 0.00102893414, 0.00102830131, 0.00102766836, 0.00102703657, 0.00102640467,
  0.0010257744, 0.00102514436, 0.0010245156, 0.00102388719, 0.00102325843, 0.00102263142, 0.00102200476, 0.00102137879,
  0.00102075352, 0.00102012849, 0.00101950427, 0.00101888087, 0.00101825758, 0.00101763604, 0.00101701426, 0.00101639284,
  0.00101577304, 0.00101515302, 0.00101453473, 0.00101391668, 0.0010132984, 0.00101268094, 0.00101206498, 0.00101144891,
  0.00101083366, 0.0010102191, 0.00100960431, 0.00100899162, 0.00100837869, 0.00100776704, 0.0010071547, 0.00100654364,
  0.00100593409, 0.00100532395, 0.00100471498, 0.0010041073, 0.00100349926, 0.00100289204, 0.00100228551, 0.00100167922,
  0.00100107421, 0.00100046943, 0.000999865821, 0.000999261974, 0.000998658827, 0.000998056494, 0.000997455209, 0.000996853807,
  0.000996254035, 0.000995653681, 0.000995054375, 0.000994455419, 0.000993857626, 0.000993260066, 0.000992663205, 0.000992067042,
  0.000991471694, 0.000990876928, 0.000990282511, 0.000989687862, 0.000989094842, 0.00098850159, 0.000987910083, 0.000987318694,
  0.000986728468, 0.00098613766, 0.000985547551, 0.000984959072, 0.000984370359, 0.000983782345, 0.000983195496, 0.000982608413,
  0.00098202168, 0.000981435995, 0.00098085159, 0.000980266836, 0.000979682896, 0.000979100121, 0.000978517113, 0.000977935619,
  0.000977354008, 0.00097677263, 0.000976191543, 0.000975612493, 0.00097503321, 0.00097445416, 0.000973876275, 0.000973299146,
  0.000972721726, 0.00097214547, 0.000971569971, 0.000970994646, 0.000970420078, 0.000969845685, 0.000969272514, 0.000968699518,
  0.000968127686, 0.000967555679, 0.000966983906, 0.000966412772, 0.000965843268, 0.000965273124, 0.000964705017, 0.000964136212,
  0.000963568571, 0.000963000697, 0.000962433987, 0.000961867918, 0.000961302139, 0.000960737467, 0.00096017262, 0.000959608878,
  0.000959044963, 0.000958481687, 0.000957919576, 0.000957358105, 0.000956796866, 0.000956235919, 0.000955676078, 0.000955116469,
  0.000954557559, 0.000953998417, 0.000953440845, 0.000952883507, 0.000952326809, 0.000951769936, 0.000951214635, 0.00095065916,
  0.000950104324, 0.000949550129, 0.000948996691, 0.000948443834, 0.000947890861, 0.000947338936, 0.000946787244, 0.00094623625,
  0.000945685955, 0.000945135835, 0.000944586413, 0.000944037689, 0.000943489606, 0.000942941755, 0.000942394545, 0.00094184716,
  0.000941301347, 0.000940756174, 0.000940210302, 0.000939666934, 0.000939121994, 0.000938578567, 0.000938035431, 0.000937493402,
  0.000936951546, 0.000936409924, 0.000935868127, 0.000935328309, 0.000934788259, 0.000934249256, 0.000933709671, 0.000933171599,
  0.00093263376, 0.000932096562, 0.000931559596, 0.000931023329, 0.000930487236, 0.00092995225, 0.000929417496, 0.000928882975,
  0.000928349968, 0.00092781632, 0.000927283312, 0.000926751411, 0.000926220149, 0.000925688655, 0.000925157859, 0.000924628112,
  0.000924097316, 0.000923568907, 0.000923040265, 0.00092251139, 0.000921984494, 0.000921456493, 0.000920930062, 0.000920403807,
  0.000919879065, 0.000919353683, 0.00091882894, 0.000918304431, 0.000917780562, 0.000917257799, 0.000916735211, 0.000916212855,
  0.000915690674, 0.000915169658, 0.000914648757, 0.000914129429, 0.00091360946, 0.000913090073, 0.000912570977, 0.000912053336,
  0.000911535055, 0.000911017822, 0.000910500821, 0.000909985334, 0.000909469207, 0.00090895372, 0.000908438407, 0.000907923735,
  0.000907410576, 0.000906897651, 0.000906384492, 0.000905871973, 0.000905360095, 0.000904848392, 0.000904337328, 0.000903826964,
  0.000903316715, 0.000902807631, 0.000902298256, 0.000901789928, 0.000901281426, 0.000900773972, 0.000900266285, 0.000899760111,
  0.000899253704, 0.000898747938, 0.000898242346, 0.000897737395, 0.000897233956, 0.000896729005, 0.000896225916, 0.000895722653,
  0.000895220903, 0.000894718454, 0.000894216588, 0.00089371542, 0.0008932153, 0.000892715354, 0.000892215234, 0.000891716103,
  0.000891217613, 0.000890719355, 0.000890221272, 0.000889723422, 0.000889226969, 0.000888730341, 0.000888234354, 0.000887739006,
  0.000887243776, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0,
};

constexpr size_t WTD_WEIGHT_COUNT = 8193;
const float WTD_WEIGHT[8193] = {
  0.956523538, 0.961768329, 0.964925826, 0.967188299, 0.968948185, 0.970385134, 0.971596956, 0.972642839,
  0.973561227, 0.974378765, 0.975114465, 0.975782514, 0.9763937, 0.976956367, 0.977477312, 0.977961838,
  0.978414476, 0.978838861, 0.979238033, 0.979614735, 0.979970992, 0.98030889, 0.98063004, 0.980935931,
  0.981227756, 0.981506705, 0.981773734, 0.982029736, 0.982275486, 0.982511759, 0.98273921, 0.982958317,
  0.983169675, 0.983373702, 0.983570933, 0.983761728, 0.983946443, 0.984125376, 0.984298885, 0.984467268,
  0.984630704, 0.98478955, 0.984943986, 0.985094249, 0.985240459, 0.985382915, 0.985521674, 0.985656977,
  0.985788882, 0.985917687, 0.986043394, 0.986166179, 0.986286104, 0.986403406, 0.986518025, 0.986630201,
  0.986739933, 0.986847401, 0.986952543, 0.9870556, 0.98715657, 0.987255514, 0.98735255, 0.987447679,
  0.98754102, 0.987632632, 0.987722516, 0.987810731, 0.987897396, 0.987982512, 0.988066077, 0.988148272,
  0.988229036, 0.98830837, 0.988386452, 0.988463223, 0.988538742, 0.988613009, 0.988686144, 0.988758087,
  0.988828897, 0.988898635, 0.988967299, 0.989034951, 0.989101589, 0.989167213, 0.989231884, 0.989295661,
  0.989358485, 0.989420414, 0.989481509, 0.989541709, 0.989601076, 0.989659667, 0.989717484, 0.989774466,
  0.989830732, 0.989886284, 0.989941061, 0.989995122, 0.990048528, 0.990101278, 0.990153313, 0.990204751,
  0.990255475, 0.990305662, 0.990355194, 0.990404129, 0.990452528, 0.990500271, 0.990547538, 0.990594208,
  0.990640342, 0.99068594, 0.990731061, 0.990775645, 0.990819693, 0.990863264, 0.990906417, 0.990949035,
  0.990991235, 0.991032898, 0.991074204, 0.991115034, 0.991155446, 0.991195381, 0.991234958, 0.991274118,
  0.991312861, 0.991351247, 0.991389215, 0.991426766, 0.991463959, 0.991500795, 0.991537273, 0.991573393,
  0.991609156, 0.991644621, 0.991679668, 0.991714418, 0.99174881, 0.991782904, 0.9918167, 0.991850138,
  0.991883337, 0.99191618, 0.991948664, 0.99198097, 0.992012918, 0.992044568, 0.99207598, 0.992107034,
  0.992137909, 0.992168486, 0.992198765, 0.992228806, 0.992258549, 0.992288113, 0.992317379, 0.992346406,
  0.992375135, 0.992403686, 0.992431998, 0.992460072, 0.992487907, 0.992515504, 0.992542863, 0.992570043,
  0.992596984, 0.992623687, 0.992650211, 0.992676497, 0.992702544, 0.992728472, 0.992754102, 0.992779613,
  0.992804885, 0.992829978, 0.992854893, 0.99287957, 0.992904127, 0.992928445, 0.992952585, 0.992976546,
  0.993000329, 0.993023992, 0.993047416, 0.993070662, 0.993093789, 0.993116677, 0.993139446, 0.993162036,
  0.993184507, 0.993206799, 0.993228912, 0.993250847, 0.993272662, 0.993294299, 0.993315816, 0.993337214,
  0.993358374, 0.993379474, 0.993400395, 0.993421137, 0.993441761, 0.993462265, 0.99348259, 0.993502855,
  0.993522942, 0.99354285, 0.993562698, 0.993582368, 0.993601918, 0.993621349, 0.993640661, 0.993659854,
  0.993678868, 0.993697822, 0.993716657, 0.993735313, 0.99375391, 0.993772328, 0.993790686, 0.993808866,
  0.993826985, 0.993844986, 0.993862867, 0.99388063, 0.993898273, 0.993915856, 0.99393332, 0.993950605,
  0.993967891, 0.993984997, 0.994002044, 0.994018972, 0.99403578, 0.99405247, 0.994069099, 0.99408561,
  0.994102061, 0.994118392, 0.994134605, 0.994150758, 0.994166791, 0.994182765, 0.99419862, 0.994214416,
  0.994230092, 0.994245648, 0.994261205, 0.994276583, 0.994291902, 0.99430716, 0.9943223, 0.99433738,
  0.9943524, 0.994367301, 0.994382083, 0.994396865, 0.994411528, 0.994426072, 0.994440556, 0.99445498,
  0.994469345, 0.99448359, 0.994497776, 0.994511902, 0.994525969, 0.994539917, 0.994553804, 0.994567633,
  0.994581342, 0.994594991, 0.994608641, 0.994622111, 0.994635582, 0.994648993, 0.994662285, 0.994675517,
  0.99468869, 0.994701803, 0.994714856, 0.99472785, 0.994740784, 0.994753599, 0.994766414, 0.99477911,
  0.994791746, 0.994804323, 0.994816899, 0.994829357, 0.994841754, 0.994854093, 0.994866371, 0.99487859,
  0.994890749, 0.994902849, 0.994914889, 0.99492687, 0.994938791, 0.994950652, 0.994962454, 0.994974256,
  0.994985938, 0.994997561, 0.995009184, 0.995020688, 0.995032191, 0.995043576, 0.99505496, 0.995066285,
  0.99507755, 0.995088756, 0.995099902, 0.995110989, 0.995122075, 0.995133042, 0.99514401, 0.995154917,
  0.995165765, 0.995176554, 0.995187342, 0.995198071, 0.995208681, 0.99521929, 0.99522984, 0.99524039,
  0.995250821, 0.995261252, 0.995271623, 0.995281935, 0.995292246, 0.995302498, 0.995312691, 0.995322824,
  0.995332897, 0.99534297, 0.995352983, 0.995362937, 0.995372891, 0.995382786, 0.995392621, 0.995402396,
  0.995412171, 0.995421886, 0.995431542, 0.995441198, 0.995450795, 0.995460331, 0.995469809, 0.995479286,
  0.995488703, 0.995498121, 0.995507479, 0.995516777, 0.995526075, 0.995535314, 0.995544493, 0.995553613,
  0.995562732, 0.995571852, 0.995580912, 0.995589912, 0.995598853, 0.995607793, 0.995616674, 0.995625556,
  0.995634377, 0.995643198, 0.995651901, 0.995660663, 0.995669305, 0.995678008, 0.995686591, 0.995695174,
  0.995703697, 0.995712221, 0.995720744, 0.995729148, 0.995737553, 0.995745957, 0.995754302, 0.995762587,
  0.995770872, 0.995779157, 0.995787382, 0.995795548, 0.995803714, 0.99581182, 0.995819926, 0.995827973,
  0.99583602, 0.995844007, 0.995851994, 0.995859921, 0.995867789, 0.995875657, 0.995883524, 0.995891333,
  0.995899141, 0.995906889, 0.995914638, 0.995922327, 0.995930016, 0.995937645, 0.995945275, 0.995952845,
  0.995960414, 0.995967925, 0.995975435, 0.995982885, 0.995990336, 0.995997787, 0.996005177, 0.996012568,
  0.9960199, 0.996027172, 0.996034503, 0.996041715, 0.996048987, 0.996056199, 0.996063352, 0.996070504,
  0.996077657, 0.99608475, 0.996091843, 0.996098876, 0.996105909, 0.996112943, 0.996119916, 0.996126831,
  0.996133804, 0.996140718, 0.996147573, 0.996154428, 0.996161282, 0.996168077, 0.996174872, 0.996181607,
  0.996188343, 0.996195078, 0.996201754, 0.996208429, 0.996215105, 0.996221721, 0.996228337, 0.996234894,
  0.99624145, 0.996248007, 0.996254504, 0.996261001, 0.996267438, 0.996273935, 0.996280313, 0.99628675,
  0.996293128, 0.996299446, 0.996305823, 0.996312141, 0.9963184, 0.996324718, 0.996330976, 0.996337175,
  0.996343374, 0.996349573, 0.996355772, 0.996361911, 0.996368051, 0.99637419, 0.99638027, 0.996386349,
  0.996392369, 0.996398389, 0.996404409, 0.996410429, 0.99641639, 0.99642235, 0.996428251, 0.996434212,
  0.996440113, 0.996445954, 0.996451855, 0.996457696, 0.996463478, 0.996469319, 0.996475101, 0.996480823,
  0.996486604, 0.996492326, 0.996498048, 0.996503711, 0.996509433, 0.996515036, 0.996520698, 0.996526301,
  0.996531904, 0.996537507, 0.996543109, 0.996548653, 0.996554196, 0.99655968, 0.996565223, 0.996570706,
  0.99657613, 0.996581614, 0.996587038, 0.996592462, 0.996597826, 0.996603251, 0.996608615, 0.996613979,
  0.996619284, 0.996624589, 0.996629894, 0.996635199, 0.996640503, 0.996645749, 0.996650994, 0.996656179,
  0.996661425, 0.99666661, 0.996671796, 0.996676922, 0.996682107, 0.996687233, 0.9966923, 0.996697426,
  0.996702492, 0.996707559, 0.996712625, 0.996717691, 0.996722698, 0.996727705, 0.996732712, 0.996737719,
  0.996742666, 0.996747613, 0.99675256, 0.996757448, 0.996762395, 0.996767282, 0.99677217, 0.996776998,
  0.996781886, 0.996786714, 0.996791542, 0.99679637, 0.996801138, 0.996805966, 0.996810734, 0.996815443,
  0.996820211, 0.99682492, 0.996829629, 0.996834338, 0.996839046, 0.996843696, 0.996848404, 0.996853054,
  0.996857703, 0.996862292, 0.996866882, 0.996871531, 0.996876061, 0.996880651, 0.99688524, 0.99688977,
  0.9968943, 0.99689883, 0.99690336, 0.99690783, 0.996912301, 0.996916771, 0.996921241, 0.996925712,
  0.996930122, 0.996934533, 0.996938944, 0.996943355, 0.996947765, 0.996952116, 0.996956468, 0.996960819,
  0.99696517, 0.996969521, 0.996973813, 0.996978104, 0.996982396, 0.996986687, 0.996990979, 0.996995211,
  0.996999502, 0.997003734, 0.997007966, 0.997012138, 0.99701637, 0.997020543, 0.997024715, 0.997028887,
  0.99703306, 0.997037172, 0.997041345, 0.997045457, 0.99704957, 0.997053683, 0.997057796, 0.997061849,
  0.997065902, 0.997069955, 0.997074008, 0.997078061, 0.997082114, 0.997086108, 0.997090101, 0.997094095,
  0.997098088, 0.997102082, 0.997106075, 0.997110009, 0.997113943, 0.997117877, 0.997121811, 0.997125745,
  0.997129619, 0.997133553, 0.997137427, 0.997141302, 0.997145176, 0.997148991, 0.997152865, 0.99715668,
  0.997160494, 0.997164309, 0.997168124, 0.997171938, 0.997175753, 0.997179508, 0.997183263, 0.997187018,
  0.997190773, 0.997194529, 0.997198284, 0.997201979, 0.997205675, 0.99720943, 0.997213125, 0.997216761,
  0.997220457, 0.997224152, 0.997227788, 0.997231424, 0.99723506, 0.997238696, 0.997242332, 0.997245967,
  0.997249544, 0.99725312, 0.997256756, 0.997260332, 0.997263849, 0.997267425, 0.997271001, 0.997274518,
  0.997278094, 0.997281611, 0.997285128, 0.997288644, 0.997292101, 0.997295618, 0.997299075, 0.997302592,
  0.997306049, 0.997309506, 0.997312963, 0.99731642, 0.997319818, 0.997323275, 0.997326672, 0.99733007,
  0.997333467, 0.997336864, 0.997340262, 0.997343659, 0.997346997, 0.997350395, 0.997353733, 0.99735707,
  0.997360408, 0.997363746, 0.997367084, 0.997370362, 0.9973737, 0.997376978, 0.997380257, 0.997383535,
  0.997386813, 0.997390091, 0.99739337, 0.997396588, 0.997399867, 0.997403085, 0.997406304, 0.997409582,
  0.997412741, 0.99741596, 0.997419178, 0.997422397, 0.997425556, 0.997428715, 0.997431934, 0.997435093,
  0.997438252, 0.997441351, 0.99744451, 0.99744767, 0.997450769, 0.997453928, 0.997457027, 0.997460127,
  0.997463226, 0.997466326, 0.997469425, 0.997472465, 0.997475564, 0.997478604, 0.997481704, 0.997484744,
  0.997487783, 0.997490823, 0.997493863, 0.997496903, 0.997499883, 0.997502923, 0.997505903, 0.997508883,
  0.997511923, 0.997514904, 0.997517884, 0.997520864, 0.997523785, 0.997526765, 0.997529685, 0.997532666,
  0.997535586, 0.997538507, 0.997541428, 0.997544348, 0.997547269, 0.997550189, 0.99755311, 0.997555971,
  0.997558892, 0.997561753, 0.997564614, 0.997567475, 0.997570336, 0.997573197, 0.997576058, 0.997578919,
  0.99758178, 0.997584581, 0.997587383, 0.997590244, 0.997593045, 0.997595847, 0.997598648, 0.997601449,
  0.997604251, 0.997606993, 0.997609794, 0.997612596, 0.997615337, 0.997618079, 0.997620881, 0.997623622,
  0.997626364, 0.997629106, 0.997631788, 0.99763453, 0.997637272, 0.997639954, 0.997642696, 0.997645378,
  0.99764806, 0.997650743, 0.997653425, 0.997656107, 0.997658789, 0.997661471, 0.997664154, 0.997666776,
  0.997669458, 0.997672081, 0.997674704, 0.997677386, 0.997680008, 0.997682631, 0.997685254, 0.997687876,
  0.997690439, 0.997693062, 0.997695684, 0.997698247, 0.99770087, 0.997703433, 0.997705996, 0.997708559,
  0.997711122, 0.997713685, 0.997716248, 0.997718811, 0.997721374, 0.997723877, 0.99772644, 0.997728944,
  0.997731447, 0.99773401, 0.997736514, 0.997739017, 0.99774152, 0.997744024, 0.997746527, 0.997748971,
  0.997751474, 0.997753978, 0.997756422, 0.997758925, 0.997761369, 0.997763813, 0.997766256, 0.99776876,
  0.997771204, 0.997773588, 0.997776031, 0.997778475, 0.997780919, 0.997783303, 0.997785747, 0.997788131,
  0.997790575, 0.997792959, 0.997795343, 0.997797728, 0.997800112, 0.997802496, 0.99780488, 0.997807264,
  0.997809649, 0.997811973, 0.997814357, 0.997816682, 0.997819066, 0.997821391, 0.997823715, 0.997826099,
  0.997828424, 0.997830749, 0.997833073, 0.997835398, 0.997837663, 0.997839987, 0.997842312, 0.997844577,
  0.997846901, 0.997849166, 0.997851491, 0.997853756, 0.997856021, 0.997858286, 0.997860551, 0.997862816,
  0.997865081, 0.997867346, 0.997869611, 0.997871876, 0.997874081, 0.997876346, 0.997878551, 0.997880816,
  0.997883022, 0.997885227, 0.997887433, 0.997889698, 0.997891903, 0.997894108, 0.997896314, 0.997898459,
  0.997900665, 0.99790287, 0.997905076, 0.997907221, 0.997909427, 0.997911572, 0.997913718, 0.997915924,
  0.997918069, 0.997920215, 0.997922361, 0.997924507, 0.997926652, 0.997928798, 0.997930944, 0.99793309,
  0.997935176, 0.997937322, 0.997939467, 0.997941554, 0.997943699, 0.997945786, 0.997947872, 0.997949958,
  0.997952104, 0.99795419, 0.997956276, 0.997958362, 0.997960448, 0.997962475, 0.997964561, 0.997966647,
  0.997968733, 0.99797076, 0.997972846, 0.997974873, 0.997976959, 0.997978985, 0.997981012, 0.997983038,
  0.997985125, 0.997987151, 0.997989178, 0.997991204, 0.997993231, 0.997995198, 0.997997224, 0.997999251,
  0.998001277, 0.998003244, 0.998005271, 0.998007238, 0.998009264, 0.998011231, 0.998013198, 0.998015225,
  0.998017192, 0.998019159, 0.998021126, 0.998023093, 0.99802506, 0.998027027, 0.998028994, 0.998030901,
  0.998032868, 0.998034835, 0.998036742, 0.998038709, 0.998040617, 0.998042583, 0.998044491, 0.998046398,
  0.998048365, 0.998050272, 0.99805218, 0.998054087, 0.998055995, 0.998057902, 0.998059809, 0.998061717,
  0.998063624, 0.998065472, 0.998067379, 0.998069286, 0.998071134, 0.998073041, 0.998074889, 0.998076797,
  0.998078644, 0.998080492, 0.998082399, 0.998084247, 0.998086095, 0.998087943, 0.99808979, 0.998091638,
  0.998093486, 0.998095334, 0.998097181, 0.998099029, 0.998100817, 0.998102665, 0.998104513, 0.998106301,
  0.998108149, 0.998109937, 0.998111725, 0.998113573, 0.998115361, 0.998117149, 0.998118997, 0.998120785,
  0.998122573, 0.998124361, 0.998126149, 0.998127937, 0.998129725, 0.998131454, 0.998133242, 0.99813503,
  0.998136818, 0.998138547, 0.998140335, 0.998142064, 0.998143852, 0.99814558, 0.998147368, 0.998149097,
  0.998150826, 0.998152614, 0.998154342, 0.998156071, 0.998157799, 0.998159528, 0.998161256, 0.998162985,
  0.998164713, 0.998166442, 0.998168111, 0.998169839, 0.998171568, 0.998173296, 0.998174965, 0.998176694,
  0.998178363, 0.998180091, 0.99818176, 0.998183489, 0.998185158, 0.998186827, 0.998188496, 0.998190224,
  0.998191893, 0.998193562, 0.998195231, 0.9981969, 0.998198569, 0.998200238, 0.998201907, 0.998203516,
  0.998205185, 0.998206854, 0.998208523, 0.998210132, 0.998211801, 0.99821341, 0.998215079, 0.998216689,
  0.998218358, 0.998219967, 0.998221576, 0.998223245, 0.998224854, 0.998226464, 0.998228073, 0.998229682,
  0.998231292, 0.998232901, 0.99823451, 0.99823612, 0.998237729, 0.998239338, 0.998240948, 0.998242557,
  0.998244107, 0.998245716, 0.998247325, 0.998248875, 0.998250484, 0.998252034, 0.998253644, 0.998255193,
  0.998256743, 0.998258352, 0.998259902, 0.998261452, 0.998263061, 0.998264611, 0.99826616, 0.99826771,
  0.99826926, 0.99827081, 0.998272359, 0.998273909, 0.998275459, 0.998277009, 0.998278499, 0.998280048,
  0.998281598, 0.998283088, 0.998284638, 0.998286188, 0.998287678, 0.998289227, 0.998290718, 0.998292267,
  0.998293757, 0.998295248, 0.998296797, 0.998298287, 0.998299778, 0.998301268, 0.998302817, 0.998304307,
  0.998305798, 0.998307288, 0.998308778, 0.998310268, 0.998311758, 0.998313248, 0.998314679, 0.998316169,
  0.998317659, 0.998319149, 0.99832058, 0.99832207, 0.99832356, 0.99832499, 0.99832648, 0.998327911,
  0.998329401, 0.998330832, 0.998332322, 0.998333752, 0.998335183, 0.998336613, 0.998338103, 0.998339534,
  0.998340964, 0.998342395, 0.998343825, 0.998345256, 0.998346686, 0.998348117, 0.998349547, 0.998350978,
  0.998352408, 0.998353839, 0.998355269, 0.99835664, 0.998358071, 0.998359501, 0.998360932, 0.998362303,
  0.998363733, 0.998365104, 0.998366535, 0.998367906, 0.998369336, 0.998370707, 0.998372078, 0.998373508,
  0.998374879, 0.99837625, 0.998377681, 0.998379052, 0.998380423, 0.998381793, 0.998383164, 0.998384535,
  0.998385906, 0.998387277, 0.998388648, 0.998390019, 0.99839139, 0.998392761, 0.998394132, 0.998395503,
  0.998396814, 0.998398185, 0.998399556, 0.998400867, 0.998402238, 0.998403609, 0.99840492, 0.998406291,
  0.998407602, 0.998408973, 0.998410285, 0.998411596, 0.998412967, 0.998414278, 0.998415589, 0.99841696,
  0.998418272, 0.998419583, 0.998420894, 0.998422205, 0.998423517, 0.998424828, 0.998426139, 0.998427451,
  0.998428762, 0.998430073, 0.998431385, 0.998432696, 0.998434007, 0.998435318, 0.99843663, 0.998437881,
  0.998439193, 0.998440504, 0.998441756, 0.998443067, 0.998444319, 0.99844563, 0.998446941, 0.998448193,
  0.998449504, 0.998450756, 0.998452008, 0.998453319, 0.998454571, 0.998455822, 0.998457134, 0.998458385,
  0.998459637, 0.998460889, 0.998462141, 0.998463452, 0.998464704, 0.998465955, 0.998467207, 0.998468459,
  0.99846971, 0.998470962, 0.998472214, 0.998473406, 0.998474658, 0.998475909, 0.998477161, 0.998478413,
  0.998479605, 0.998480856, 0.998482108, 0.9984833, 0.998484552, 0.998485804, 0.998486996, 0.998488247,
  0.998489439, 0.998490691, 0.998491883, 0.998493135, 0.998494327, 0.998495519, 0.998496771, 0.998497963,
  0.998499155, 0.998500407, 0.998501599, 0.998502791, 0.998503983, 0.998505175, 0.998506367, 0.998507559,
  0.998508751, 0.998509943, 0.998511136, 0.998512328, 0.99851352, 0.998514712, 0.998515904, 0.998517096,
  0.998518288, 0.99851948, 0.998520613, 0.998521805, 0.998522997, 0.998524189, 0.998525321, 0.998526514,
  0.998527646, 0.998528838, 0.99853003, 0.998531163, 0.998532355, 0.998533487, 0.998534679, 0.998535812,
  0.998536944, 0.998538136, 0.998539269, 0.998540401, 0.998541594, 0.998542726, 0.998543859, 0.998544991,
  0.998546183, 0.998547316, 0.998548448, 0.998549581, 0.998550713, 0.998551846, 0.998552978, 0.998554111,
  0.998555243, 0.998556376, 0.998557508, 0.99855864, 0.998559773, 0.998560905, 0.998561978, 0.998563111,
  0.998564243, 0.998565376, 0.998566449, 0.998567581, 0.998568714, 0.998569787, 0.998570919, 0.998572052,
  0.998573124, 0.998574257, 0.99857533, 0.998576462, 0.998577535, 0.998578668, 0.998579741, 0.998580873,
  0.998581946, 0.998583019, 0.998584151, 0.998585224, 0.998586297, 0.99858737, 0.998588502, 0.998589575,
  0.998590648, 0.998591721, 0.998592794, 0.998593867, 0.99859494, 0.998596072, 0.998597145, 0.998598218,
  0.998599291, 0.998600364, 0.998601377, 0.99860245, 0.998603523, 0.998604596, 0.998605669, 0.998606741,
  0.998607814, 0.998608828, 0.9986099, 0.998610973, 0.998612046, 0.99861306, 0.998614132, 0.998615205,
  0.998616219, 0.998617291, 0.998618305, 0.998619378, 0.998620391, 0.998621464, 0.998622477, 0.99862355,
  0.998624563, 0.998625636, 0.998626649, 0.998627663, 0.998628736, 0.998629749, 0.998630762, 0.998631835,
  0.998632848, 0.998633862, 0.998634875, 0.998635888, 0.998636961, 0.998637974, 0.998638988, 0.998640001,
  0.998641014, 0.998642027, 0.998643041, 0.998644054, 0.998645067, 0.99864608, 0.998647094, 0.998648107,
  0.99864912, 0.998650134, 0.998651087, 0.998652101, 0.998653114, 0.998654127, 0.99865514, 0.998656094,
  0.998657107, 0.998658121, 0.998659134, 0.998660088, 0.998661101, 0.998662055, 0.998663068, 0.998664081,
  0.998665035, 0.998666048, 0.998667002, 0.998668015, 0.998668969, 0.998669982, 0.998670936, 0.998671889,
  0.998672903, 0.998673856, 0.99867487, 0.998675823, 0.998676777, 0.998677731, 0.998678744, 0.998679698,
  0.998680651, 0.998681605, 0.998682618, 0.998683572, 0.998684525, 0.998685479, 0.998686433, 0.998687387,
  0.99868834, 0.998689294, 0.998690248, 0.998691201, 0.998692155, 0.998693109, 0.998694062, 0.998695016,
  0.99869597, 0.998696923, 0.998697877, 0.998698831, 0.998699725, 0.998700678, 0.998701632, 0.998702586,
  0.99870348, 0.998704433, 0.998705387, 0.998706341, 0.998707235, 0.998708189, 0.998709083, 0.998710036,
  0.99871099, 0.998711884, 0.998712838, 0.998713732, 0.998714685, 0.99871558, 0.998716533, 0.998717427,
  0.998718381, 0.998719275, 0.998720169, 0.998721123, 0.998722017, 0.99872297, 0.998723865, 0.998724759,
  0.998725653, 0.998726606, 0.9987275, 0.998728395, 0.998729289, 0.998730242, 0.998731136, 0.99873203,
  0.998732924, 0.998733819, 0.998734713, 0.998735607, 0.998736501, 0.998737395, 0.998738289, 0.998739183,
  0.998740077, 0.998740971, 0.998741865, 0.998742759, 0.998743653, 0.998744547, 0.998745441, 0.998746336,
  0.99874723, 0.998748124, 0.998748958, 0.998749852, 0.998750746, 0.99875164, 0.998752475, 0.998753369,
  0.998754263, 0.998755157, 0.998755991, 0.998756886, 0.99875772, 0.998758614, 0.998759508, 0.998760343,
  0.998761237, 0.998762071, 0.998762965, 0.9987638, 0.998764694, 0.998765528, 0.998766422, 0.998767257,
  0.998768151, 0.998768985, 0.99876982, 0.998770714, 0.998771548, 0.998772442, 0.998773277, 0.998774111,
  0.998774946, 0.99877584, 0.998776674, 0.998777509, 0.998778343, 0.998779237, 0.998780072, 0.998780906,
  0.998781741, 0.998782575, 0.99878341, 0.998784244, 0.998785138, 0.998785973, 0.998786807, 0.998787642,
  0.998788476, 0.99878931, 0.998790145, 0.998790979, 0.998791814, 0.998792648, 0.998793423, 0.998794258,
  0.998795092, 0.998795927, 0.998796761, 0.998797596, 0.99879843, 0.998799205, 0.998800039, 0.998800874,
  0.998801708, 0.998802543, 0.998803318, 0.998804152, 0.998804986, 0.998805761, 0.998806596, 0.99880743,
  0.998808205, 0.99880904, 0.998809874, 0.998810649, 0.998811483, 0.998812258, 0.998813093, 0.998813868,
  0.998814702, 0.998815477, 0.998816311, 0.998817086, 0.998817921, 0.998818696, 0.99881947, 0.998820305,
  0.99882108, 0.998821914, 0.998822689, 0.998823464, 0.998824298, 0.998825073, 0.998825848, 0.998826683,
  0.998827457, 0.998828232, 0.998829007, 0.998829782, 0.998830616, 0.998831391, 0.998832166, 0.998832941,
  0.998833716, 0.998834491, 0.998835325, 0.9988361, 0.998836875, 0.99883765, 0.998838425, 0.9988392,
  0.998839974, 0.998840749, 0.998841524, 0.998842299, 0.998843074, 0.998843849, 0.998844624, 0.998845398,
  0.998846173, 0.998846889, 0.998847663, 0.998848438, 0.998849213, 0.998849988, 0.998850763, 0.998851478,
  0.998852253, 0.998853028, 0.998853803, 0.998854578, 0.998855293, 0.998856068, 0.998856843, 0.998857558,
  0.998858333, 0.998859107, 0.998859823, 0.998860598, 0.998861372, 0.998862088, 0.998862863, 0.998863578,
  0.998864353, 0.998865068, 0.998865843, 0.998866558, 0.998867333, 0.998868048, 0.998868823, 0.998869538,
  0.998870313, 0.998871028, 0.998871803, 0.998872519, 0.998873293, 0.998874009, 0.998874724, 0.998875499,
  0.998876214, 0.998876929, 0.998877704, 0.998878419, 0.998879135, 0.99887985, 0.998880625, 0.99888134,
  0.998882055, 0.998882771, 0.998883545, 0.998884261, 0.998884976, 0.998885691, 0.998886406, 0.998887122,
  0.998887837, 0.998888612, 0.998889327, 0.998890042, 0.998890758, 0.998891473, 0.998892188, 0.998892903,
  0.998893619, 0.998894334, 0.998895049, 0.998895764, 0.99889648, 0.998897195, 0.99889791, 0.998898625,
  0.998899341, 0.998900056, 0.998900712, 0.998901427, 0.998902142, 0.998902857, 0.998903573, 0.998904288,
  0.998904943, 0.998905659, 0.998906374, 0.998907089, 0.998907804, 0.99890846, 0.998909175, 0.998909891,
  0.998910606, 0.998911262, 0.998911977, 0.998912692, 0.998913348, 0.998914063, 0.998914719, 0.998915434,
  0.998916149, 0.998916805, 0.99891752, 0.998918176, 0.998918891, 0.998919606, 0.998920262, 0.998920977,
  0.998921633, 0.998922348, 0.998923004, 0.998923719, 0.998924375, 0.99892503, 0.998925745, 0.998926401,
  0.998927116, 0.998927772, 0.998928487, 0.998929143, 0.998929799, 0.998930514, 0.99893117, 0.998931825,
  0.99893254, 0.998933196, 0.998933852, 0.998934507, 0.998935223, 0.998935878, 0.998936534, 0.99893719,
  0.998937905, 0.99893856, 0.998939216, 0.998939872, 0.998940527, 0.998941243, 0.998941898, 0.998942554,
  0.99894321, 0.998943865, 0.998944521, 0.998945177, 0.998945832, 0.998946488, 0.998947144, 0.998947799,
  0.998948514, 0.99894917, 0.998949826, 0.998950481, 0.998951137, 0.998951733, 0.998952389, 0.998953044,
  0.9989537, 0.998954356, 0.998955011, 0.998955667, 0.998956323, 0.998956978, 0.998957634, 0.99895829,
  0.998958886, 0.998959541, 0.998960197, 0.998960853, 0.998961508, 0.998962104, 0.99896276, 0.998963416,
  0.998964071, 0.998964727, 0.998965323, 0.998965979, 0.998966634, 0.99896723, 0.998967886, 0.998968542,
  0.998969138, 0.998969793, 0.998970449, 0.998971045, 0.998971701, 0.998972356, 0.998972952, 0.998973608,
  0.998974204, 0.99897486, 0.998975456, 0.998976111, 0.998976767, 0.998977363, 0.998978019, 0.998978615,
  0.99897927, 0.998979867, 0.998980522, 0.998981118, 0.998981714, 0.99898237, 0.998982966, 0.998983622,
  0.998984218, 0.998984873, 0.998985469, 0.998986065, 0.998986721, 0.998987317, 0.998987913, 0.998988569,
  0.998989165, 0.998989761, 0.998990417, 0.998991013, 0.998991609, 0.998992205, 0.99899286, 0.998993456,
  0.998994052, 0.998994648, 0.998995304, 0.9989959, 0.998996496, 0.998997092, 0.998997688, 0.998998344,
  0.99899894, 0.998999536, 0.999000132, 0.999000728, 0.999001324, 0.99900192, 0.999002516, 0.999003172,
  0.999003768, 0.999004364, 0.99900496, 0.999005556, 0.999006152, 0.999006748, 0.999007344, 0.99900794,
  0.999008536, 0.999009132, 0.999009728, 0.999010324, 0.999010921, 0.999011517, 0.999012113, 0.999012709,
  0.999013245, 0.999013841, 0.999014437, 0.999015033, 0.999015629, 0.999016225, 0.999016821, 0.999017417,
  0.999017954, 0.99901855, 0.999019146, 0.999019742, 0.999020338, 0.999020875, 0.999021471, 0.999022067,
  0.999022663, 0.999023199, 0.999023795, 0.999024391, 0.999024987, 0.999025524, 0.99902612, 0.999026716,
  0.999027252, 0.999027848, 0.999028444, 0.999028981, 0.999029577, 0.999030173, 0.999030709, 0.999031305,
  0.999031901, 0.999032438, 0.999033034, 0.99903357, 0.999034166, 0.999034703, 0.999035299, 0.999035835,
  0.999036431, 0.999037027, 0.999037564, 0.99903816, 0.999038696, 0.999039233, 0.999039829, 0.999040365,
  0.999040961, 0.999041498, 0.999042094, 0.99904263, 0.999043226, 0.999043763, 0.999044299, 0.999044895,
  0.999045432, 0.999046028, 0.999046564, 0.999047101, 0.999047697, 0.999048233, 0.999048769, 0.999049366,
  0.999049902, 0.999050438, 0.999050975, 0.999051571, 0.999052107, 0.999052644, 0.99905324, 0.999053776,
  0.999054313, 0.999054849, 0.999055386, 0.999055982, 0.999056518, 0.999057055, 0.999057591, 0.999058127,
  0.999058723, 0.99905926, 0.999059796, 0.999060333, 0.999060869, 0.999061406, 0.999061942, 0.999062479,
  0.999063075, 0.999063611, 0.999064147, 0.999064684, 0.99906522, 0.999065757, 0.999066293, 0.99906683,
  0.999067366, 0.999067903, 0.999068439, 0.999068975, 0.999069512, 0.999070048, 0.999070585, 0.999071121,
  0.999071658, 0.999072194, 0.999072731, 0.999073267, 0.999073803, 0.99907434, 0.999074817, 0.999075353,
  0.99907589, 0.999076426, 0.999076962, 0.999077499, 0.999078035, 0.999078572, 0.999079049, 0.999079585,
  0.999080122, 0.999080658, 0.999081194, 0.999081671, 0.999082208, 0.999082744, 0.999083281, 0.999083757,
  0.999084294, 0.99908483, 0.999085367, 0.999085844, 0.99908638, 0.999086916, 0.999087453, 0.99908793,
  0.999088466, 0.999089003, 0.999089479, 0.999090016, 0.999090552, 0.999091029, 0.999091566, 0.999092102,
  0.999092579, 0.999093115, 0.999093592, 0.999094129, 0.999094665, 0.999095142, 0.999095678, 0.999096155,
  0.999096692, 0.999097168, 0.999097705, 0.999098182, 0.999098718, 0.999099255, 0.999099731, 0.999100268,
  0.999100745, 0.999101281, 0.999101758, 0.999102235, 0.999102771, 0.999103248, 0.999103785, 0.999104261,
  0.999104798, 0.999105275, 0.999105811, 0.999106288, 0.999106765, 0.999107301, 0.999107778, 0.999108255,
  0.999108791, 0.999109268, 0.999109805, 0.999110281, 0.999110758, 0.999111295, 0.999111772, 0.999112248,
  0.999112785, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0,
  0,
};