#
# Copyright (C) 1993-1996 Id Software, Inc.
# Copyright (C) 2019-2020 Nobuaki Tanaka
# Copyright (C) 2024 Devin Shwagginz
#
# This program is free software; you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation; either version 2 of the License, or
# (at your option) any later version.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
# GNU General Public License for more details.
#

module Doocr
  module Trig
    @@fine_tangent : Array(Int32) = [
      -170910304, -56965752, -34178904, -24413316, -18988036, -15535599, -13145455, -11392683,
      -10052327, -8994149, -8137527, -7429880, -6835455, -6329090, -5892567, -5512368,
      -5178251, -4882318, -4618375, -4381502, -4167737, -3973855, -3797206, -3635590,
      -3487165, -3350381, -3223918, -3106651, -2997613, -2895966, -2800983, -2712030,
      -2628549, -2550052, -2476104, -2406322, -2340362, -2277919, -2218719, -2162516,
      -2109087, -2058233, -2009771, -1963536, -1919378, -1877161, -1836758, -1798063,
      -1760956, -1725348, -1691149, -1658278, -1626658, -1596220, -1566898, -1538632,
      -1511367, -1485049, -1459630, -1435065, -1411312, -1388330, -1366084, -1344537,
      -1323658, -1303416, -1283783, -1264730, -1246234, -1228269, -1210813, -1193846,
      -1177345, -1161294, -1145673, -1130465, -1115654, -1101225, -1087164, -1073455,
      -1060087, -1047046, -1034322, -1021901, -1009774, -997931, -986361, -975054,
      -964003, -953199, -942633, -932298, -922186, -912289, -902602, -893117,
      -883829, -874730, -865817, -857081, -848520, -840127, -831898, -823827,
      -815910, -808143, -800521, -793041, -785699, -778490, -771411, -764460,
      -757631, -750922, -744331, -737853, -731486, -725227, -719074, -713023,
      -707072, -701219, -695462, -689797, -684223, -678737, -673338, -668024,
      -662792, -657640, -652568, -647572, -642651, -637803, -633028, -628323,
      -623686, -619117, -614613, -610174, -605798, -601483, -597229, -593033,
      -588896, -584815, -580789, -576818, -572901, -569035, -565221, -561456,
      -557741, -554074, -550455, -546881, -543354, -539870, -536431, -533034,
      -529680, -526366, -523094, -519861, -516667, -513512, -510394, -507313,
      -504269, -501261, -498287, -495348, -492443, -489571, -486732, -483925,
      -481150, -478406, -475692, -473009, -470355, -467730, -465133, -462565,
      -460024, -457511, -455024, -452564, -450129, -447720, -445337, -442978,
      -440643, -438332, -436045, -433781, -431540, -429321, -427125, -424951,
      -422798, -420666, -418555, -416465, -414395, -412344, -410314, -408303,
      -406311, -404338, -402384, -400448, -398530, -396630, -394747, -392882,
      -391034, -389202, -387387, -385589, -383807, -382040, -380290, -378555,
      -376835, -375130, -373440, -371765, -370105, -368459, -366826, -365208,
      -363604, -362013, -360436, -358872, -357321, -355783, -354257, -352744,
      -351244, -349756, -348280, -346816, -345364, -343924, -342495, -341078,
      -339671, -338276, -336892, -335519, -334157, -332805, -331464, -330133,
      -328812, -327502, -326201, -324910, -323629, -322358, -321097, -319844,
      -318601, -317368, -316143, -314928, -313721, -312524, -311335, -310154,
      -308983, -307819, -306664, -305517, -304379, -303248, -302126, -301011,
      -299904, -298805, -297714, -296630, -295554, -294485, -293423, -292369,
      -291322, -290282, -289249, -288223, -287204, -286192, -285186, -284188,
      -283195, -282210, -281231, -280258, -279292, -278332, -277378, -276430,
      -275489, -274553, -273624, -272700, -271782, -270871, -269965, -269064,
      -268169, -267280, -266397, -265519, -264646, -263779, -262917, -262060,
      -261209, -260363, -259522, -258686, -257855, -257029, -256208, -255392,
      -254581, -253774, -252973, -252176, -251384, -250596, -249813, -249035,
      -248261, -247492, -246727, -245966, -245210, -244458, -243711, -242967,
      -242228, -241493, -240763, -240036, -239314, -238595, -237881, -237170,
      -236463, -235761, -235062, -234367, -233676, -232988, -232304, -231624,
      -230948, -230275, -229606, -228941, -228279, -227621, -226966, -226314,
      -225666, -225022, -224381, -223743, -223108, -222477, -221849, -221225,
      -220603, -219985, -219370, -218758, -218149, -217544, -216941, -216341,
      -215745, -215151, -214561, -213973, -213389, -212807, -212228, -211652,
      -211079, -210509, -209941, -209376, -208815, -208255, -207699, -207145,
      -206594, -206045, -205500, -204956, -204416, -203878, -203342, -202809,
      -202279, -201751, -201226, -200703, -200182, -199664, -199149, -198636,
      -198125, -197616, -197110, -196606, -196105, -195606, -195109, -194614,
      -194122, -193631, -193143, -192658, -192174, -191693, -191213, -190736,
      -190261, -189789, -189318, -188849, -188382, -187918, -187455, -186995,
      -186536, -186080, -185625, -185173, -184722, -184274, -183827, -183382,
      -182939, -182498, -182059, -181622, -181186, -180753, -180321, -179891,
      -179463, -179037, -178612, -178190, -177769, -177349, -176932, -176516,
      -176102, -175690, -175279, -174870, -174463, -174057, -173653, -173251,
      -172850, -172451, -172053, -171657, -171263, -170870, -170479, -170089,
      -169701, -169315, -168930, -168546, -168164, -167784, -167405, -167027,
      -166651, -166277, -165904, -165532, -165162, -164793, -164426, -164060,
      -163695, -163332, -162970, -162610, -162251, -161893, -161537, -161182,
      -160828, -160476, -160125, -159775, -159427, -159079, -158734, -158389,
      -158046, -157704, -157363, -157024, -156686, -156349, -156013, -155678,
      -155345, -155013, -154682, -154352, -154024, -153697, -153370, -153045,
      -152722, -152399, -152077, -151757, -151438, -151120, -150803, -150487,
      -150172, -149859, -149546, -149235, -148924, -148615, -148307, -148000,
      -147693, -147388, -147084, -146782, -146480, -146179, -145879, -145580,
      -145282, -144986, -144690, -144395, -144101, -143808, -143517, -143226,
      -142936, -142647, -142359, -142072, -141786, -141501, -141217, -140934,
      -140651, -140370, -140090, -139810, -139532, -139254, -138977, -138701,
      -138426, -138152, -137879, -137607, -137335, -137065, -136795, -136526,
      -136258, -135991, -135725, -135459, -135195, -134931, -134668, -134406,
      -134145, -133884, -133625, -133366, -133108, -132851, -132594, -132339,
      -132084, -131830, -131576, -131324, -131072, -130821, -130571, -130322,
      -130073, -129825, -129578, -129332, -129086, -128841, -128597, -128353,
      -128111, -127869, -127627, -127387, -127147, -126908, -126669, -126432,
      -126195, -125959, -125723, -125488, -125254, -125020, -124787, -124555,
      -124324, -124093, -123863, -123633, -123404, -123176, -122949, -122722,
      -122496, -122270, -122045, -121821, -121597, -121374, -121152, -120930,
      -120709, -120489, -120269, -120050, -119831, -119613, -119396, -119179,
      -118963, -118747, -118532, -118318, -118104, -117891, -117678, -117466,
      -117254, -117044, -116833, -116623, -116414, -116206, -115998, -115790,
      -115583, -115377, -115171, -114966, -114761, -114557, -114354, -114151,
      -113948, -113746, -113545, -113344, -113143, -112944, -112744, -112546,
      -112347, -112150, -111952, -111756, -111560, -111364, -111169, -110974,
      -110780, -110586, -110393, -110200, -110008, -109817, -109626, -109435,
      -109245, -109055, -108866, -108677, -108489, -108301, -108114, -107927,
      -107741, -107555, -107369, -107184, -107000, -106816, -106632, -106449,
      -106266, -106084, -105902, -105721, -105540, -105360, -105180, -105000,
      -104821, -104643, -104465, -104287, -104109, -103933, -103756, -103580,
      -103404, -103229, -103054, -102880, -102706, -102533, -102360, -102187,
      -102015, -101843, -101671, -101500, -101330, -101159, -100990, -100820,
      -100651, -100482, -100314, -100146, -99979, -99812, -99645, -99479,
      -99313, -99148, -98982, -98818, -98653, -98489, -98326, -98163,
      -98000, -97837, -97675, -97513, -97352, -97191, -97030, -96870,
      -96710, -96551, -96391, -96233, -96074, -95916, -95758, -95601,
      -95444, -95287, -95131, -94975, -94819, -94664, -94509, -94354,
      -94200, -94046, -93892, -93739, -93586, -93434, -93281, -93129,
      -92978, -92826, -92675, -92525, -92375, -92225, -92075, -91926,
      -91777, -91628, -91480, -91332, -91184, -91036, -90889, -90742,
      -90596, -90450, -90304, -90158, -90013, -89868, -89724, -89579,
      -89435, -89292, -89148, -89005, -88862, -88720, -88577, -88435,
      -88294, -88152, -88011, -87871, -87730, -87590, -87450, -87310,
      -87171, -87032, -86893, -86755, -86616, -86479, -86341, -86204,
      -86066, -85930, -85793, -85657, -85521, -85385, -85250, -85114,
      -84980, -84845, -84710, -84576, -84443, -84309, -84176, -84043,
      -83910, -83777, -83645, -83513, -83381, -83250, -83118, -82987,
      -82857, -82726, -82596, -82466, -82336, -82207, -82078, -81949,
      -81820, -81691, -81563, -81435, -81307, -81180, -81053, -80925,
      -80799, -80672, -80546, -80420, -80294, -80168, -80043, -79918,
      -79793, -79668, -79544, -79420, -79296, -79172, -79048, -78925,
      -78802, -78679, -78557, -78434, -78312, -78190, -78068, -77947,
      -77826, -77705, -77584, -77463, -77343, -77223, -77103, -76983,
      -76864, -76744, -76625, -76506, -76388, -76269, -76151, -76033,
      -75915, -75797, -75680, -75563, -75446, -75329, -75213, -75096,
      -74980, -74864, -74748, -74633, -74517, -74402, -74287, -74172,
      -74058, -73944, -73829, -73715, -73602, -73488, -73375, -73262,
      -73149, -73036, -72923, -72811, -72699, -72587, -72475, -72363,
      -72252, -72140, -72029, -71918, -71808, -71697, -71587, -71477,
      -71367, -71257, -71147, -71038, -70929, -70820, -70711, -70602,
      -70494, -70385, -70277, -70169, -70061, -69954, -69846, -69739,
      -69632, -69525, -69418, -69312, -69205, -69099, -68993, -68887,
      -68781, -68676, -68570, -68465, -68360, -68255, -68151, -68046,
      -67942, -67837, -67733, -67629, -67526, -67422, -67319, -67216,
      -67113, -67010, -66907, -66804, -66702, -66600, -66498, -66396,
      -66294, -66192, -66091, -65989, -65888, -65787, -65686, -65586,
      -65485, -65385, -65285, -65185, -65085, -64985, -64885, -64786,
      -64687, -64587, -64488, -64389, -64291, -64192, -64094, -63996,
      -63897, -63799, -63702, -63604, -63506, -63409, -63312, -63215,
      -63118, -63021, -62924, -62828, -62731, -62635, -62539, -62443,
      -62347, -62251, -62156, -62060, -61965, -61870, -61775, -61680,
      -61585, -61491, -61396, -61302, -61208, -61114, -61020, -60926,
      -60833, -60739, -60646, -60552, -60459, -60366, -60273, -60181,
      -60088, -59996, -59903, -59811, -59719, -59627, -59535, -59444,
      -59352, -59261, -59169, -59078, -58987, -58896, -58805, -58715,
      -58624, -58534, -58443, -58353, -58263, -58173, -58083, -57994,
      -57904, -57815, -57725, -57636, -57547, -57458, -57369, -57281,
      -57192, -57104, -57015, -56927, -56839, -56751, -56663, -56575,
      -56487, -56400, -56312, -56225, -56138, -56051, -55964, -55877,
      -55790, -55704, -55617, -55531, -55444, -55358, -55272, -55186,
      -55100, -55015, -54929, -54843, -54758, -54673, -54587, -54502,
      -54417, -54333, -54248, -54163, -54079, -53994, -53910, -53826,
      -53741, -53657, -53574, -53490, -53406, -53322, -53239, -53156,
      -53072, -52989, -52906, -52823, -52740, -52657, -52575, -52492,
      -52410, -52327, -52245, -52163, -52081, -51999, -51917, -51835,
      -51754, -51672, -51591, -51509, -51428, -51347, -51266, -51185,
      -51104, -51023, -50942, -50862, -50781, -50701, -50621, -50540,
      -50460, -50380, -50300, -50221, -50141, -50061, -49982, -49902,
      -49823, -49744, -49664, -49585, -49506, -49427, -49349, -49270,
      -49191, -49113, -49034, -48956, -48878, -48799, -48721, -48643,
      -48565, -48488, -48410, -48332, -48255, -48177, -48100, -48022,
      -47945, -47868, -47791, -47714, -47637, -47560, -47484, -47407,
      -47331, -47254, -47178, -47102, -47025, -46949, -46873, -46797,
      -46721, -46646, -46570, -46494, -46419, -46343, -46268, -46193,
      -46118, -46042, -45967, -45892, -45818, -45743, -45668, -45593,
      -45519, -45444, -45370, -45296, -45221, -45147, -45073, -44999,
      -44925, -44851, -44778, -44704, -44630, -44557, -44483, -44410,
      -44337, -44263, -44190, -44117, -44044, -43971, -43898, -43826,
      -43753, -43680, -43608, -43535, -43463, -43390, -43318, -43246,
      -43174, -43102, -43030, -42958, -42886, -42814, -42743, -42671,
      -42600, -42528, -42457, -42385, -42314, -42243, -42172, -42101,
      -42030, -41959, -41888, -41817, -41747, -41676, -41605, -41535,
      -41465, -41394, -41324, -41254, -41184, -41113, -41043, -40973,
      -40904, -40834, -40764, -40694, -40625, -40555, -40486, -40416,
      -40347, -40278, -40208, -40139, -40070, -40001, -39932, -39863,
      -39794, -39726, -39657, -39588, -39520, -39451, -39383, -39314,
      -39246, -39178, -39110, -39042, -38973, -38905, -38837, -38770,
      -38702, -38634, -38566, -38499, -38431, -38364, -38296, -38229,
      -38161, -38094, -38027, -37960, -37893, -37826, -37759, -37692,
      -37625, -37558, -37491, -37425, -37358, -37291, -37225, -37158,
      -37092, -37026, -36959, -36893, -36827, -36761, -36695, -36629,
      -36563, -36497, -36431, -36365, -36300, -36234, -36168, -36103,
      -36037, -35972, -35907, -35841, -35776, -35711, -35646, -35580,
      -35515, -35450, -35385, -35321, -35256, -35191, -35126, -35062,
      -34997, -34932, -34868, -34803, -34739, -34675, -34610, -34546,
      -34482, -34418, -34354, -34289, -34225, -34162, -34098, -34034,
      -33970, -33906, -33843, -33779, -33715, -33652, -33588, -33525,
      -33461, -33398, -33335, -33272, -33208, -33145, -33082, -33019,
      -32956, -32893, -32830, -32767, -32705, -32642, -32579, -32516,
      -32454, -32391, -32329, -32266, -32204, -32141, -32079, -32017,
      -31955, -31892, -31830, -31768, -31706, -31644, -31582, -31520,
      -31458, -31396, -31335, -31273, -31211, -31150, -31088, -31026,
      -30965, -30904, -30842, -30781, -30719, -30658, -30597, -30536,
      -30474, -30413, -30352, -30291, -30230, -30169, -30108, -30048,
      -29987, -29926, -29865, -29805, -29744, -29683, -29623, -29562,
      -29502, -29441, -29381, -29321, -29260, -29200, -29140, -29080,
      -29020, -28959, -28899, -28839, -28779, -28719, -28660, -28600,
      -28540, -28480, -28420, -28361, -28301, -28241, -28182, -28122,
      -28063, -28003, -27944, -27884, -27825, -27766, -27707, -27647,
      -27588, -27529, -27470, -27411, -27352, -27293, -27234, -27175,
      -27116, -27057, -26998, -26940, -26881, -26822, -26763, -26705,
      -26646, -26588, -26529, -26471, -26412, -26354, -26295, -26237,
      -26179, -26120, -26062, -26004, -25946, -25888, -25830, -25772,
      -25714, -25656, -25598, -25540, -25482, -25424, -25366, -25308,
      -25251, -25193, -25135, -25078, -25020, -24962, -24905, -24847,
      -24790, -24732, -24675, -24618, -24560, -24503, -24446, -24389,
      -24331, -24274, -24217, -24160, -24103, -24046, -23989, -23932,
      -23875, -23818, -23761, -23704, -23647, -23591, -23534, -23477,
      -23420, -23364, -23307, -23250, -23194, -23137, -23081, -23024,
      -22968, -22911, -22855, -22799, -22742, -22686, -22630, -22573,
      -22517, -22461, -22405, -22349, -22293, -22237, -22181, -22125,
      -22069, -22013, -21957, -21901, -21845, -21789, -21733, -21678,
      -21622, -21566, -21510, -21455, -21399, -21343, -21288, -21232,
      -21177, -21121, -21066, -21010, -20955, -20900, -20844, -20789,
      -20734, -20678, -20623, -20568, -20513, -20457, -20402, -20347,
      -20292, -20237, -20182, -20127, -20072, -20017, -19962, -19907,
      -19852, -19797, -19742, -19688, -19633, -19578, -19523, -19469,
      -19414, -19359, -19305, -19250, -19195, -19141, -19086, -19032,
      -18977, -18923, -18868, -18814, -18760, -18705, -18651, -18597,
      -18542, -18488, -18434, -18380, -18325, -18271, -18217, -18163,
      -18109, -18055, -18001, -17946, -17892, -17838, -17784, -17731,
      -17677, -17623, -17569, -17515, -17461, -17407, -17353, -17300,
      -17246, -17192, -17138, -17085, -17031, -16977, -16924, -16870,
      -16817, -16763, -16710, -16656, -16603, -16549, -16496, -16442,
      -16389, -16335, -16282, -16229, -16175, -16122, -16069, -16015,
      -15962, -15909, -15856, -15802, -15749, -15696, -15643, -15590,
      -15537, -15484, -15431, -15378, -15325, -15272, -15219, -15166,
      -15113, -15060, -15007, -14954, -14901, -14848, -14795, -14743,
      -14690, -14637, -14584, -14531, -14479, -14426, -14373, -14321,
      -14268, -14215, -14163, -14110, -14057, -14005, -13952, -13900,
      -13847, -13795, -13742, -13690, -13637, -13585, -13533, -13480,
      -13428, -13375, -13323, -13271, -13218, -13166, -13114, -13062,
      -13009, -12957, -12905, -12853, -12800, -12748, -12696, -12644,
      -12592, -12540, -12488, -12436, -12383, -12331, -12279, -12227,
      -12175, -12123, -12071, -12019, -11967, -11916, -11864, -11812,
      -11760, -11708, -11656, -11604, -11552, -11501, -11449, -11397,
      -11345, -11293, -11242, -11190, -11138, -11086, -11035, -10983,
      -10931, -10880, -10828, -10777, -10725, -10673, -10622, -10570,
      -10519, -10467, -10415, -10364, -10312, -10261, -10209, -10158,
      -10106, -10055, -10004, -9952, -9901, -9849, -9798, -9747,
      -9695, -9644, -9592, -9541, -9490, -9438, -9387, -9336,
      -9285, -9233, -9182, -9131, -9080, -9028, -8977, -8926,
      -8875, -8824, -8772, -8721, -8670, -8619, -8568, -8517,
      -8466, -8414, -8363, -8312, -8261, -8210, -8159, -8108,
      -8057, -8006, -7955, -7904, -7853, -7802, -7751, -7700,
      -7649, -7598, -7547, -7496, -7445, -7395, -7344, -7293,
      -7242, -7191, -7140, -7089, -7038, -6988, -6937, -6886,
      -6835, -6784, -6733, -6683, -6632, -6581, -6530, -6480,
      -6429, -6378, -6327, -6277, -6226, -6175, -6124, -6074,
      -6023, -5972, -5922, -5871, -5820, -5770, -5719, -5668,
      -5618, -5567, -5517, -5466, -5415, -5365, -5314, -5264,
      -5213, -5162, -5112, -5061, -5011, -4960, -4910, -4859,
      -4808, -4758, -4707, -4657, -4606, -4556, -4505, -4455,
      -4404, -4354, -4303, -4253, -4202, -4152, -4101, -4051,
      -4001, -3950, -3900, -3849, -3799, -3748, -3698, -3648,
      -3597, -3547, -3496, -3446, -3395, -3345, -3295, -3244,
      -3194, -3144, -3093, -3043, -2992, -2942, -2892, -2841,
      -2791, -2741, -2690, -2640, -2590, -2539, -2489, -2439,
      -2388, -2338, -2288, -2237, -2187, -2137, -2086, -2036,
      -1986, -1935, -1885, -1835, -1784, -1734, -1684, -1633,
      -1583, -1533, -1483, -1432, -1382, -1332, -1281, -1231,
      -1181, -1131, -1080, -1030, -980, -929, -879, -829,
      -779, -728, -678, -628, -578, -527, -477, -427,
      -376, -326, -276, -226, -175, -125, -75, -25,
      25, 75, 125, 175, 226, 276, 326, 376,
      427, 477, 527, 578, 628, 678, 728, 779,
      829, 879, 929, 980, 1030, 1080, 1131, 1181,
      1231, 1281, 1332, 1382, 1432, 1483, 1533, 1583,
      1633, 1684, 1734, 1784, 1835, 1885, 1935, 1986,
      2036, 2086, 2137, 2187, 2237, 2288, 2338, 2388,
      2439, 2489, 2539, 2590, 2640, 2690, 2741, 2791,
      2841, 2892, 2942, 2992, 3043, 3093, 3144, 3194,
      3244, 3295, 3345, 3395, 3446, 3496, 3547, 3597,
      3648, 3698, 3748, 3799, 3849, 3900, 3950, 4001,
      4051, 4101, 4152, 4202, 4253, 4303, 4354, 4404,
      4455, 4505, 4556, 4606, 4657, 4707, 4758, 4808,
      4859, 4910, 4960, 5011, 5061, 5112, 5162, 5213,
      5264, 5314, 5365, 5415, 5466, 5517, 5567, 5618,
      5668, 5719, 5770, 5820, 5871, 5922, 5972, 6023,
      6074, 6124, 6175, 6226, 6277, 6327, 6378, 6429,
      6480, 6530, 6581, 6632, 6683, 6733, 6784, 6835,
      6886, 6937, 6988, 7038, 7089, 7140, 7191, 7242,
      7293, 7344, 7395, 7445, 7496, 7547, 7598, 7649,
      7700, 7751, 7802, 7853, 7904, 7955, 8006, 8057,
      8108, 8159, 8210, 8261, 8312, 8363, 8414, 8466,
      8517, 8568, 8619, 8670, 8721, 8772, 8824, 8875,
      8926, 8977, 9028, 9080, 9131, 9182, 9233, 9285,
      9336, 9387, 9438, 9490, 9541, 9592, 9644, 9695,
      9747, 9798, 9849, 9901, 9952, 10004, 10055, 10106,
      10158, 10209, 10261, 10312, 10364, 10415, 10467, 10519,
      10570, 10622, 10673, 10725, 10777, 10828, 10880, 10931,
      10983, 11035, 11086, 11138, 11190, 11242, 11293, 11345,
      11397, 11449, 11501, 11552, 11604, 11656, 11708, 11760,
      11812, 11864, 11916, 11967, 12019, 12071, 12123, 12175,
      12227, 12279, 12331, 12383, 12436, 12488, 12540, 12592,
      12644, 12696, 12748, 12800, 12853, 12905, 12957, 13009,
      13062, 13114, 13166, 13218, 13271, 13323, 13375, 13428,
      13480, 13533, 13585, 13637, 13690, 13742, 13795, 13847,
      13900, 13952, 14005, 14057, 14110, 14163, 14215, 14268,
      14321, 14373, 14426, 14479, 14531, 14584, 14637, 14690,
      14743, 14795, 14848, 14901, 14954, 15007, 15060, 15113,
      15166, 15219, 15272, 15325, 15378, 15431, 15484, 15537,
      15590, 15643, 15696, 15749, 15802, 15856, 15909, 15962,
      16015, 16069, 16122, 16175, 16229, 16282, 16335, 16389,
      16442, 16496, 16549, 16603, 16656, 16710, 16763, 16817,
      16870, 16924, 16977, 17031, 17085, 17138, 17192, 17246,
      17300, 17353, 17407, 17461, 17515, 17569, 17623, 17677,
      17731, 17784, 17838, 17892, 17946, 18001, 18055, 18109,
      18163, 18217, 18271, 18325, 18380, 18434, 18488, 18542,
      18597, 18651, 18705, 18760, 18814, 18868, 18923, 18977,
      19032, 19086, 19141, 19195, 19250, 19305, 19359, 19414,
      19469, 19523, 19578, 19633, 19688, 19742, 19797, 19852,
      19907, 19962, 20017, 20072, 20127, 20182, 20237, 20292,
      20347, 20402, 20457, 20513, 20568, 20623, 20678, 20734,
      20789, 20844, 20900, 20955, 21010, 21066, 21121, 21177,
      21232, 21288, 21343, 21399, 21455, 21510, 21566, 21622,
      21678, 21733, 21789, 21845, 21901, 21957, 22013, 22069,
      22125, 22181, 22237, 22293, 22349, 22405, 22461, 22517,
      22573, 22630, 22686, 22742, 22799, 22855, 22911, 22968,
      23024, 23081, 23137, 23194, 23250, 23307, 23364, 23420,
      23477, 23534, 23591, 23647, 23704, 23761, 23818, 23875,
      23932, 23989, 24046, 24103, 24160, 24217, 24274, 24331,
      24389, 24446, 24503, 24560, 24618, 24675, 24732, 24790,
      24847, 24905, 24962, 25020, 25078, 25135, 25193, 25251,
      25308, 25366, 25424, 25482, 25540, 25598, 25656, 25714,
      25772, 25830, 25888, 25946, 26004, 26062, 26120, 26179,
      26237, 26295, 26354, 26412, 26471, 26529, 26588, 26646,
      26705, 26763, 26822, 26881, 26940, 26998, 27057, 27116,
      27175, 27234, 27293, 27352, 27411, 27470, 27529, 27588,
      27647, 27707, 27766, 27825, 27884, 27944, 28003, 28063,
      28122, 28182, 28241, 28301, 28361, 28420, 28480, 28540,
      28600, 28660, 28719, 28779, 28839, 28899, 28959, 29020,
      29080, 29140, 29200, 29260, 29321, 29381, 29441, 29502,
      29562, 29623, 29683, 29744, 29805, 29865, 29926, 29987,
      30048, 30108, 30169, 30230, 30291, 30352, 30413, 30474,
      30536, 30597, 30658, 30719, 30781, 30842, 30904, 30965,
      31026, 31088, 31150, 31211, 31273, 31335, 31396, 31458,
      31520, 31582, 31644, 31706, 31768, 31830, 31892, 31955,
      32017, 32079, 32141, 32204, 32266, 32329, 32391, 32454,
      32516, 32579, 32642, 32705, 32767, 32830, 32893, 32956,
      33019, 33082, 33145, 33208, 33272, 33335, 33398, 33461,
      33525, 33588, 33652, 33715, 33779, 33843, 33906, 33970,
      34034, 34098, 34162, 34225, 34289, 34354, 34418, 34482,
      34546, 34610, 34675, 34739, 34803, 34868, 34932, 34997,
      35062, 35126, 35191, 35256, 35321, 35385, 35450, 35515,
      35580, 35646, 35711, 35776, 35841, 35907, 35972, 36037,
      36103, 36168, 36234, 36300, 36365, 36431, 36497, 36563,
      36629, 36695, 36761, 36827, 36893, 36959, 37026, 37092,
      37158, 37225, 37291, 37358, 37425, 37491, 37558, 37625,
      37692, 37759, 37826, 37893, 37960, 38027, 38094, 38161,
      38229, 38296, 38364, 38431, 38499, 38566, 38634, 38702,
      38770, 38837, 38905, 38973, 39042, 39110, 39178, 39246,
      39314, 39383, 39451, 39520, 39588, 39657, 39726, 39794,
      39863, 39932, 40001, 40070, 40139, 40208, 40278, 40347,
      40416, 40486, 40555, 40625, 40694, 40764, 40834, 40904,
      40973, 41043, 41113, 41184, 41254, 41324, 41394, 41465,
      41535, 41605, 41676, 41747, 41817, 41888, 41959, 42030,
      42101, 42172, 42243, 42314, 42385, 42457, 42528, 42600,
      42671, 42743, 42814, 42886, 42958, 43030, 43102, 43174,
      43246, 43318, 43390, 43463, 43535, 43608, 43680, 43753,
      43826, 43898, 43971, 44044, 44117, 44190, 44263, 44337,
      44410, 44483, 44557, 44630, 44704, 44778, 44851, 44925,
      44999, 45073, 45147, 45221, 45296, 45370, 45444, 45519,
      45593, 45668, 45743, 45818, 45892, 45967, 46042, 46118,
      46193, 46268, 46343, 46419, 46494, 46570, 46646, 46721,
      46797, 46873, 46949, 47025, 47102, 47178, 47254, 47331,
      47407, 47484, 47560, 47637, 47714, 47791, 47868, 47945,
      48022, 48100, 48177, 48255, 48332, 48410, 48488, 48565,
      48643, 48721, 48799, 48878, 48956, 49034, 49113, 49191,
      49270, 49349, 49427, 49506, 49585, 49664, 49744, 49823,
      49902, 49982, 50061, 50141, 50221, 50300, 50380, 50460,
      50540, 50621, 50701, 50781, 50862, 50942, 51023, 51104,
      51185, 51266, 51347, 51428, 51509, 51591, 51672, 51754,
      51835, 51917, 51999, 52081, 52163, 52245, 52327, 52410,
      52492, 52575, 52657, 52740, 52823, 52906, 52989, 53072,
      53156, 53239, 53322, 53406, 53490, 53574, 53657, 53741,
      53826, 53910, 53994, 54079, 54163, 54248, 54333, 54417,
      54502, 54587, 54673, 54758, 54843, 54929, 55015, 55100,
      55186, 55272, 55358, 55444, 55531, 55617, 55704, 55790,
      55877, 55964, 56051, 56138, 56225, 56312, 56400, 56487,
      56575, 56663, 56751, 56839, 56927, 57015, 57104, 57192,
      57281, 57369, 57458, 57547, 57636, 57725, 57815, 57904,
      57994, 58083, 58173, 58263, 58353, 58443, 58534, 58624,
      58715, 58805, 58896, 58987, 59078, 59169, 59261, 59352,
      59444, 59535, 59627, 59719, 59811, 59903, 59996, 60088,
      60181, 60273, 60366, 60459, 60552, 60646, 60739, 60833,
      60926, 61020, 61114, 61208, 61302, 61396, 61491, 61585,
      61680, 61775, 61870, 61965, 62060, 62156, 62251, 62347,
      62443, 62539, 62635, 62731, 62828, 62924, 63021, 63118,
      63215, 63312, 63409, 63506, 63604, 63702, 63799, 63897,
      63996, 64094, 64192, 64291, 64389, 64488, 64587, 64687,
      64786, 64885, 64985, 65085, 65185, 65285, 65385, 65485,
      65586, 65686, 65787, 65888, 65989, 66091, 66192, 66294,
      66396, 66498, 66600, 66702, 66804, 66907, 67010, 67113,
      67216, 67319, 67422, 67526, 67629, 67733, 67837, 67942,
      68046, 68151, 68255, 68360, 68465, 68570, 68676, 68781,
      68887, 68993, 69099, 69205, 69312, 69418, 69525, 69632,
      69739, 69846, 69954, 70061, 70169, 70277, 70385, 70494,
      70602, 70711, 70820, 70929, 71038, 71147, 71257, 71367,
      71477, 71587, 71697, 71808, 71918, 72029, 72140, 72252,
      72363, 72475, 72587, 72699, 72811, 72923, 73036, 73149,
      73262, 73375, 73488, 73602, 73715, 73829, 73944, 74058,
      74172, 74287, 74402, 74517, 74633, 74748, 74864, 74980,
      75096, 75213, 75329, 75446, 75563, 75680, 75797, 75915,
      76033, 76151, 76269, 76388, 76506, 76625, 76744, 76864,
      76983, 77103, 77223, 77343, 77463, 77584, 77705, 77826,
      77947, 78068, 78190, 78312, 78434, 78557, 78679, 78802,
      78925, 79048, 79172, 79296, 79420, 79544, 79668, 79793,
      79918, 80043, 80168, 80294, 80420, 80546, 80672, 80799,
      80925, 81053, 81180, 81307, 81435, 81563, 81691, 81820,
      81949, 82078, 82207, 82336, 82466, 82596, 82726, 82857,
      82987, 83118, 83250, 83381, 83513, 83645, 83777, 83910,
      84043, 84176, 84309, 84443, 84576, 84710, 84845, 84980,
      85114, 85250, 85385, 85521, 85657, 85793, 85930, 86066,
      86204, 86341, 86479, 86616, 86755, 86893, 87032, 87171,
      87310, 87450, 87590, 87730, 87871, 88011, 88152, 88294,
      88435, 88577, 88720, 88862, 89005, 89148, 89292, 89435,
      89579, 89724, 89868, 90013, 90158, 90304, 90450, 90596,
      90742, 90889, 91036, 91184, 91332, 91480, 91628, 91777,
      91926, 92075, 92225, 92375, 92525, 92675, 92826, 92978,
      93129, 93281, 93434, 93586, 93739, 93892, 94046, 94200,
      94354, 94509, 94664, 94819, 94975, 95131, 95287, 95444,
      95601, 95758, 95916, 96074, 96233, 96391, 96551, 96710,
      96870, 97030, 97191, 97352, 97513, 97675, 97837, 98000,
      98163, 98326, 98489, 98653, 98818, 98982, 99148, 99313,
      99479, 99645, 99812, 99979, 100146, 100314, 100482, 100651,
      100820, 100990, 101159, 101330, 101500, 101671, 101843, 102015,
      102187, 102360, 102533, 102706, 102880, 103054, 103229, 103404,
      103580, 103756, 103933, 104109, 104287, 104465, 104643, 104821,
      105000, 105180, 105360, 105540, 105721, 105902, 106084, 106266,
      106449, 106632, 106816, 107000, 107184, 107369, 107555, 107741,
      107927, 108114, 108301, 108489, 108677, 108866, 109055, 109245,
      109435, 109626, 109817, 110008, 110200, 110393, 110586, 110780,
      110974, 111169, 111364, 111560, 111756, 111952, 112150, 112347,
      112546, 112744, 112944, 113143, 113344, 113545, 113746, 113948,
      114151, 114354, 114557, 114761, 114966, 115171, 115377, 115583,
      115790, 115998, 116206, 116414, 116623, 116833, 117044, 117254,
      117466, 117678, 117891, 118104, 118318, 118532, 118747, 118963,
      119179, 119396, 119613, 119831, 120050, 120269, 120489, 120709,
      120930, 121152, 121374, 121597, 121821, 122045, 122270, 122496,
      122722, 122949, 123176, 123404, 123633, 123863, 124093, 124324,
      124555, 124787, 125020, 125254, 125488, 125723, 125959, 126195,
      126432, 126669, 126908, 127147, 127387, 127627, 127869, 128111,
      128353, 128597, 128841, 129086, 129332, 129578, 129825, 130073,
      130322, 130571, 130821, 131072, 131324, 131576, 131830, 132084,
      132339, 132594, 132851, 133108, 133366, 133625, 133884, 134145,
      134406, 134668, 134931, 135195, 135459, 135725, 135991, 136258,
      136526, 136795, 137065, 137335, 137607, 137879, 138152, 138426,
      138701, 138977, 139254, 139532, 139810, 140090, 140370, 140651,
      140934, 141217, 141501, 141786, 142072, 142359, 142647, 142936,
      143226, 143517, 143808, 144101, 144395, 144690, 144986, 145282,
      145580, 145879, 146179, 146480, 146782, 147084, 147388, 147693,
      148000, 148307, 148615, 148924, 149235, 149546, 149859, 150172,
      150487, 150803, 151120, 151438, 151757, 152077, 152399, 152722,
      153045, 153370, 153697, 154024, 154352, 154682, 155013, 155345,
      155678, 156013, 156349, 156686, 157024, 157363, 157704, 158046,
      158389, 158734, 159079, 159427, 159775, 160125, 160476, 160828,
      161182, 161537, 161893, 162251, 162610, 162970, 163332, 163695,
      164060, 164426, 164793, 165162, 165532, 165904, 166277, 166651,
      167027, 167405, 167784, 168164, 168546, 168930, 169315, 169701,
      170089, 170479, 170870, 171263, 171657, 172053, 172451, 172850,
      173251, 173653, 174057, 174463, 174870, 175279, 175690, 176102,
      176516, 176932, 177349, 177769, 178190, 178612, 179037, 179463,
      179891, 180321, 180753, 181186, 181622, 182059, 182498, 182939,
      183382, 183827, 184274, 184722, 185173, 185625, 186080, 186536,
      186995, 187455, 187918, 188382, 188849, 189318, 189789, 190261,
      190736, 191213, 191693, 192174, 192658, 193143, 193631, 194122,
      194614, 195109, 195606, 196105, 196606, 197110, 197616, 198125,
      198636, 199149, 199664, 200182, 200703, 201226, 201751, 202279,
      202809, 203342, 203878, 204416, 204956, 205500, 206045, 206594,
      207145, 207699, 208255, 208815, 209376, 209941, 210509, 211079,
      211652, 212228, 212807, 213389, 213973, 214561, 215151, 215745,
      216341, 216941, 217544, 218149, 218758, 219370, 219985, 220603,
      221225, 221849, 222477, 223108, 223743, 224381, 225022, 225666,
      226314, 226966, 227621, 228279, 228941, 229606, 230275, 230948,
      231624, 232304, 232988, 233676, 234367, 235062, 235761, 236463,
      237170, 237881, 238595, 239314, 240036, 240763, 241493, 242228,
      242967, 243711, 244458, 245210, 245966, 246727, 247492, 248261,
      249035, 249813, 250596, 251384, 252176, 252973, 253774, 254581,
      255392, 256208, 257029, 257855, 258686, 259522, 260363, 261209,
      262060, 262917, 263779, 264646, 265519, 266397, 267280, 268169,
      269064, 269965, 270871, 271782, 272700, 273624, 274553, 275489,
      276430, 277378, 278332, 279292, 280258, 281231, 282210, 283195,
      284188, 285186, 286192, 287204, 288223, 289249, 290282, 291322,
      292369, 293423, 294485, 295554, 296630, 297714, 298805, 299904,
      301011, 302126, 303248, 304379, 305517, 306664, 307819, 308983,
      310154, 311335, 312524, 313721, 314928, 316143, 317368, 318601,
      319844, 321097, 322358, 323629, 324910, 326201, 327502, 328812,
      330133, 331464, 332805, 334157, 335519, 336892, 338276, 339671,
      341078, 342495, 343924, 345364, 346816, 348280, 349756, 351244,
      352744, 354257, 355783, 357321, 358872, 360436, 362013, 363604,
      365208, 366826, 368459, 370105, 371765, 373440, 375130, 376835,
      378555, 380290, 382040, 383807, 385589, 387387, 389202, 391034,
      392882, 394747, 396630, 398530, 400448, 402384, 404338, 406311,
      408303, 410314, 412344, 414395, 416465, 418555, 420666, 422798,
      424951, 427125, 429321, 431540, 433781, 436045, 438332, 440643,
      442978, 445337, 447720, 450129, 452564, 455024, 457511, 460024,
      462565, 465133, 467730, 470355, 473009, 475692, 478406, 481150,
      483925, 486732, 489571, 492443, 495348, 498287, 501261, 504269,
      507313, 510394, 513512, 516667, 519861, 523094, 526366, 529680,
      533034, 536431, 539870, 543354, 546881, 550455, 554074, 557741,
      561456, 565221, 569035, 572901, 576818, 580789, 584815, 588896,
      593033, 597229, 601483, 605798, 610174, 614613, 619117, 623686,
      628323, 633028, 637803, 642651, 647572, 652568, 657640, 662792,
      668024, 673338, 678737, 684223, 689797, 695462, 701219, 707072,
      713023, 719074, 725227, 731486, 737853, 744331, 750922, 757631,
      764460, 771411, 778490, 785699, 793041, 800521, 808143, 815910,
      823827, 831898, 840127, 848520, 857081, 865817, 874730, 883829,
      893117, 902602, 912289, 922186, 932298, 942633, 953199, 964003,
      975054, 986361, 997931, 1009774, 1021901, 1034322, 1047046, 1060087,
      1073455, 1087164, 1101225, 1115654, 1130465, 1145673, 1161294, 1177345,
      1193846, 1210813, 1228269, 1246234, 1264730, 1283783, 1303416, 1323658,
      1344537, 1366084, 1388330, 1411312, 1435065, 1459630, 1485049, 1511367,
      1538632, 1566898, 1596220, 1626658, 1658278, 1691149, 1725348, 1760956,
      1798063, 1836758, 1877161, 1919378, 1963536, 2009771, 2058233, 2109087,
      2162516, 2218719, 2277919, 2340362, 2406322, 2476104, 2550052, 2628549,
      2712030, 2800983, 2895966, 2997613, 3106651, 3223918, 3350381, 3487165,
      3635590, 3797206, 3973855, 4167737, 4381502, 4618375, 4882318, 5178251,
      5512368, 5892567, 6329090, 6835455, 7429880, 8137527, 8994149, 10052327,
      11392683, 13145455, 15535599, 18988036, 24413316, 34178904, 56965752, 170910304,
    ]

    @@fine_sine : Array(Int32) = [
      25, 75, 125, 175, 226, 276, 326, 376,
      427, 477, 527, 578, 628, 678, 728, 779,
      829, 879, 929, 980, 1030, 1080, 1130, 1181,
      1231, 1281, 1331, 1382, 1432, 1482, 1532, 1583,
      1633, 1683, 1733, 1784, 1834, 1884, 1934, 1985,
      2035, 2085, 2135, 2186, 2236, 2286, 2336, 2387,
      2437, 2487, 2537, 2587, 2638, 2688, 2738, 2788,
      2839, 2889, 2939, 2989, 3039, 3090, 3140, 3190,
      3240, 3291, 3341, 3391, 3441, 3491, 3541, 3592,
      3642, 3692, 3742, 3792, 3843, 3893, 3943, 3993,
      4043, 4093, 4144, 4194, 4244, 4294, 4344, 4394,
      4445, 4495, 4545, 4595, 4645, 4695, 4745, 4796,
      4846, 4896, 4946, 4996, 5046, 5096, 5146, 5197,
      5247, 5297, 5347, 5397, 5447, 5497, 5547, 5597,
      5647, 5697, 5748, 5798, 5848, 5898, 5948, 5998,
      6048, 6098, 6148, 6198, 6248, 6298, 6348, 6398,
      6448, 6498, 6548, 6598, 6648, 6698, 6748, 6798,
      6848, 6898, 6948, 6998, 7048, 7098, 7148, 7198,
      7248, 7298, 7348, 7398, 7448, 7498, 7548, 7598,
      7648, 7697, 7747, 7797, 7847, 7897, 7947, 7997,
      8047, 8097, 8147, 8196, 8246, 8296, 8346, 8396,
      8446, 8496, 8545, 8595, 8645, 8695, 8745, 8794,
      8844, 8894, 8944, 8994, 9043, 9093, 9143, 9193,
      9243, 9292, 9342, 9392, 9442, 9491, 9541, 9591,
      9640, 9690, 9740, 9790, 9839, 9889, 9939, 9988,
      10038, 10088, 10137, 10187, 10237, 10286, 10336, 10386,
      10435, 10485, 10534, 10584, 10634, 10683, 10733, 10782,
      10832, 10882, 10931, 10981, 11030, 11080, 11129, 11179,
      11228, 11278, 11327, 11377, 11426, 11476, 11525, 11575,
      11624, 11674, 11723, 11773, 11822, 11872, 11921, 11970,
      12020, 12069, 12119, 12168, 12218, 12267, 12316, 12366,
      12415, 12464, 12514, 12563, 12612, 12662, 12711, 12760,
      12810, 12859, 12908, 12957, 13007, 13056, 13105, 13154,
      13204, 13253, 13302, 13351, 13401, 13450, 13499, 13548,
      13597, 13647, 13696, 13745, 13794, 13843, 13892, 13941,
      13990, 14040, 14089, 14138, 14187, 14236, 14285, 14334,
      14383, 14432, 14481, 14530, 14579, 14628, 14677, 14726,
      14775, 14824, 14873, 14922, 14971, 15020, 15069, 15118,
      15167, 15215, 15264, 15313, 15362, 15411, 15460, 15509,
      15557, 15606, 15655, 15704, 15753, 15802, 15850, 15899,
      15948, 15997, 16045, 16094, 16143, 16191, 16240, 16289,
      16338, 16386, 16435, 16484, 16532, 16581, 16629, 16678,
      16727, 16775, 16824, 16872, 16921, 16970, 17018, 17067,
      17115, 17164, 17212, 17261, 17309, 17358, 17406, 17455,
      17503, 17551, 17600, 17648, 17697, 17745, 17793, 17842,
      17890, 17939, 17987, 18035, 18084, 18132, 18180, 18228,
      18277, 18325, 18373, 18421, 18470, 18518, 18566, 18614,
      18663, 18711, 18759, 18807, 18855, 18903, 18951, 19000,
      19048, 19096, 19144, 19192, 19240, 19288, 19336, 19384,
      19432, 19480, 19528, 19576, 19624, 19672, 19720, 19768,
      19816, 19864, 19912, 19959, 20007, 20055, 20103, 20151,
      20199, 20246, 20294, 20342, 20390, 20438, 20485, 20533,
      20581, 20629, 20676, 20724, 20772, 20819, 20867, 20915,
      20962, 21010, 21057, 21105, 21153, 21200, 21248, 21295,
      21343, 21390, 21438, 21485, 21533, 21580, 21628, 21675,
      21723, 21770, 21817, 21865, 21912, 21960, 22007, 22054,
      22102, 22149, 22196, 22243, 22291, 22338, 22385, 22433,
      22480, 22527, 22574, 22621, 22668, 22716, 22763, 22810,
      22857, 22904, 22951, 22998, 23045, 23092, 23139, 23186,
      23233, 23280, 23327, 23374, 23421, 23468, 23515, 23562,
      23609, 23656, 23703, 23750, 23796, 23843, 23890, 23937,
      23984, 24030, 24077, 24124, 24171, 24217, 24264, 24311,
      24357, 24404, 24451, 24497, 24544, 24591, 24637, 24684,
      24730, 24777, 24823, 24870, 24916, 24963, 25009, 25056,
      25102, 25149, 25195, 25241, 25288, 25334, 25381, 25427,
      25473, 25520, 25566, 25612, 25658, 25705, 25751, 25797,
      25843, 25889, 25936, 25982, 26028, 26074, 26120, 26166,
      26212, 26258, 26304, 26350, 26396, 26442, 26488, 26534,
      26580, 26626, 26672, 26718, 26764, 26810, 26856, 26902,
      26947, 26993, 27039, 27085, 27131, 27176, 27222, 27268,
      27313, 27359, 27405, 27450, 27496, 27542, 27587, 27633,
      27678, 27724, 27770, 27815, 27861, 27906, 27952, 27997,
      28042, 28088, 28133, 28179, 28224, 28269, 28315, 28360,
      28405, 28451, 28496, 28541, 28586, 28632, 28677, 28722,
      28767, 28812, 28858, 28903, 28948, 28993, 29038, 29083,
      29128, 29173, 29218, 29263, 29308, 29353, 29398, 29443,
      29488, 29533, 29577, 29622, 29667, 29712, 29757, 29801,
      29846, 29891, 29936, 29980, 30025, 30070, 30114, 30159,
      30204, 30248, 30293, 30337, 30382, 30426, 30471, 30515,
      30560, 30604, 30649, 30693, 30738, 30782, 30826, 30871,
      30915, 30959, 31004, 31048, 31092, 31136, 31181, 31225,
      31269, 31313, 31357, 31402, 31446, 31490, 31534, 31578,
      31622, 31666, 31710, 31754, 31798, 31842, 31886, 31930,
      31974, 32017, 32061, 32105, 32149, 32193, 32236, 32280,
      32324, 32368, 32411, 32455, 32499, 32542, 32586, 32630,
      32673, 32717, 32760, 32804, 32847, 32891, 32934, 32978,
      33021, 33065, 33108, 33151, 33195, 33238, 33281, 33325,
      33368, 33411, 33454, 33498, 33541, 33584, 33627, 33670,
      33713, 33756, 33799, 33843, 33886, 33929, 33972, 34015,
      34057, 34100, 34143, 34186, 34229, 34272, 34315, 34358,
      34400, 34443, 34486, 34529, 34571, 34614, 34657, 34699,
      34742, 34785, 34827, 34870, 34912, 34955, 34997, 35040,
      35082, 35125, 35167, 35210, 35252, 35294, 35337, 35379,
      35421, 35464, 35506, 35548, 35590, 35633, 35675, 35717,
      35759, 35801, 35843, 35885, 35927, 35969, 36011, 36053,
      36095, 36137, 36179, 36221, 36263, 36305, 36347, 36388,
      36430, 36472, 36514, 36555, 36597, 36639, 36681, 36722,
      36764, 36805, 36847, 36889, 36930, 36972, 37013, 37055,
      37096, 37137, 37179, 37220, 37262, 37303, 37344, 37386,
      37427, 37468, 37509, 37551, 37592, 37633, 37674, 37715,
      37756, 37797, 37838, 37879, 37920, 37961, 38002, 38043,
      38084, 38125, 38166, 38207, 38248, 38288, 38329, 38370,
      38411, 38451, 38492, 38533, 38573, 38614, 38655, 38695,
      38736, 38776, 38817, 38857, 38898, 38938, 38979, 39019,
      39059, 39100, 39140, 39180, 39221, 39261, 39301, 39341,
      39382, 39422, 39462, 39502, 39542, 39582, 39622, 39662,
      39702, 39742, 39782, 39822, 39862, 39902, 39942, 39982,
      40021, 40061, 40101, 40141, 40180, 40220, 40260, 40300,
      40339, 40379, 40418, 40458, 40497, 40537, 40576, 40616,
      40655, 40695, 40734, 40773, 40813, 40852, 40891, 40931,
      40970, 41009, 41048, 41087, 41127, 41166, 41205, 41244,
      41283, 41322, 41361, 41400, 41439, 41478, 41517, 41556,
      41595, 41633, 41672, 41711, 41750, 41788, 41827, 41866,
      41904, 41943, 41982, 42020, 42059, 42097, 42136, 42174,
      42213, 42251, 42290, 42328, 42366, 42405, 42443, 42481,
      42520, 42558, 42596, 42634, 42672, 42711, 42749, 42787,
      42825, 42863, 42901, 42939, 42977, 43015, 43053, 43091,
      43128, 43166, 43204, 43242, 43280, 43317, 43355, 43393,
      43430, 43468, 43506, 43543, 43581, 43618, 43656, 43693,
      43731, 43768, 43806, 43843, 43880, 43918, 43955, 43992,
      44029, 44067, 44104, 44141, 44178, 44215, 44252, 44289,
      44326, 44363, 44400, 44437, 44474, 44511, 44548, 44585,
      44622, 44659, 44695, 44732, 44769, 44806, 44842, 44879,
      44915, 44952, 44989, 45025, 45062, 45098, 45135, 45171,
      45207, 45244, 45280, 45316, 45353, 45389, 45425, 45462,
      45498, 45534, 45570, 45606, 45642, 45678, 45714, 45750,
      45786, 45822, 45858, 45894, 45930, 45966, 46002, 46037,
      46073, 46109, 46145, 46180, 46216, 46252, 46287, 46323,
      46358, 46394, 46429, 46465, 46500, 46536, 46571, 46606,
      46642, 46677, 46712, 46747, 46783, 46818, 46853, 46888,
      46923, 46958, 46993, 47028, 47063, 47098, 47133, 47168,
      47203, 47238, 47273, 47308, 47342, 47377, 47412, 47446,
      47481, 47516, 47550, 47585, 47619, 47654, 47688, 47723,
      47757, 47792, 47826, 47860, 47895, 47929, 47963, 47998,
      48032, 48066, 48100, 48134, 48168, 48202, 48237, 48271,
      48305, 48338, 48372, 48406, 48440, 48474, 48508, 48542,
      48575, 48609, 48643, 48676, 48710, 48744, 48777, 48811,
      48844, 48878, 48911, 48945, 48978, 49012, 49045, 49078,
      49112, 49145, 49178, 49211, 49244, 49278, 49311, 49344,
      49377, 49410, 49443, 49476, 49509, 49542, 49575, 49608,
      49640, 49673, 49706, 49739, 49771, 49804, 49837, 49869,
      49902, 49935, 49967, 50000, 50032, 50065, 50097, 50129,
      50162, 50194, 50226, 50259, 50291, 50323, 50355, 50387,
      50420, 50452, 50484, 50516, 50548, 50580, 50612, 50644,
      50675, 50707, 50739, 50771, 50803, 50834, 50866, 50898,
      50929, 50961, 50993, 51024, 51056, 51087, 51119, 51150,
      51182, 51213, 51244, 51276, 51307, 51338, 51369, 51401,
      51432, 51463, 51494, 51525, 51556, 51587, 51618, 51649,
      51680, 51711, 51742, 51773, 51803, 51834, 51865, 51896,
      51926, 51957, 51988, 52018, 52049, 52079, 52110, 52140,
      52171, 52201, 52231, 52262, 52292, 52322, 52353, 52383,
      52413, 52443, 52473, 52503, 52534, 52564, 52594, 52624,
      52653, 52683, 52713, 52743, 52773, 52803, 52832, 52862,
      52892, 52922, 52951, 52981, 53010, 53040, 53069, 53099,
      53128, 53158, 53187, 53216, 53246, 53275, 53304, 53334,
      53363, 53392, 53421, 53450, 53479, 53508, 53537, 53566,
      53595, 53624, 53653, 53682, 53711, 53739, 53768, 53797,
      53826, 53854, 53883, 53911, 53940, 53969, 53997, 54026,
      54054, 54082, 54111, 54139, 54167, 54196, 54224, 54252,
      54280, 54308, 54337, 54365, 54393, 54421, 54449, 54477,
      54505, 54533, 54560, 54588, 54616, 54644, 54672, 54699,
      54727, 54755, 54782, 54810, 54837, 54865, 54892, 54920,
      54947, 54974, 55002, 55029, 55056, 55084, 55111, 55138,
      55165, 55192, 55219, 55246, 55274, 55300, 55327, 55354,
      55381, 55408, 55435, 55462, 55489, 55515, 55542, 55569,
      55595, 55622, 55648, 55675, 55701, 55728, 55754, 55781,
      55807, 55833, 55860, 55886, 55912, 55938, 55965, 55991,
      56017, 56043, 56069, 56095, 56121, 56147, 56173, 56199,
      56225, 56250, 56276, 56302, 56328, 56353, 56379, 56404,
      56430, 56456, 56481, 56507, 56532, 56557, 56583, 56608,
      56633, 56659, 56684, 56709, 56734, 56760, 56785, 56810,
      56835, 56860, 56885, 56910, 56935, 56959, 56984, 57009,
      57034, 57059, 57083, 57108, 57133, 57157, 57182, 57206,
      57231, 57255, 57280, 57304, 57329, 57353, 57377, 57402,
      57426, 57450, 57474, 57498, 57522, 57546, 57570, 57594,
      57618, 57642, 57666, 57690, 57714, 57738, 57762, 57785,
      57809, 57833, 57856, 57880, 57903, 57927, 57950, 57974,
      57997, 58021, 58044, 58067, 58091, 58114, 58137, 58160,
      58183, 58207, 58230, 58253, 58276, 58299, 58322, 58345,
      58367, 58390, 58413, 58436, 58459, 58481, 58504, 58527,
      58549, 58572, 58594, 58617, 58639, 58662, 58684, 58706,
      58729, 58751, 58773, 58795, 58818, 58840, 58862, 58884,
      58906, 58928, 58950, 58972, 58994, 59016, 59038, 59059,
      59081, 59103, 59125, 59146, 59168, 59190, 59211, 59233,
      59254, 59276, 59297, 59318, 59340, 59361, 59382, 59404,
      59425, 59446, 59467, 59488, 59509, 59530, 59551, 59572,
      59593, 59614, 59635, 59656, 59677, 59697, 59718, 59739,
      59759, 59780, 59801, 59821, 59842, 59862, 59883, 59903,
      59923, 59944, 59964, 59984, 60004, 60025, 60045, 60065,
      60085, 60105, 60125, 60145, 60165, 60185, 60205, 60225,
      60244, 60264, 60284, 60304, 60323, 60343, 60363, 60382,
      60402, 60421, 60441, 60460, 60479, 60499, 60518, 60537,
      60556, 60576, 60595, 60614, 60633, 60652, 60671, 60690,
      60709, 60728, 60747, 60766, 60785, 60803, 60822, 60841,
      60859, 60878, 60897, 60915, 60934, 60952, 60971, 60989,
      61007, 61026, 61044, 61062, 61081, 61099, 61117, 61135,
      61153, 61171, 61189, 61207, 61225, 61243, 61261, 61279,
      61297, 61314, 61332, 61350, 61367, 61385, 61403, 61420,
      61438, 61455, 61473, 61490, 61507, 61525, 61542, 61559,
      61577, 61594, 61611, 61628, 61645, 61662, 61679, 61696,
      61713, 61730, 61747, 61764, 61780, 61797, 61814, 61831,
      61847, 61864, 61880, 61897, 61913, 61930, 61946, 61963,
      61979, 61995, 62012, 62028, 62044, 62060, 62076, 62092,
      62108, 62125, 62141, 62156, 62172, 62188, 62204, 62220,
      62236, 62251, 62267, 62283, 62298, 62314, 62329, 62345,
      62360, 62376, 62391, 62407, 62422, 62437, 62453, 62468,
      62483, 62498, 62513, 62528, 62543, 62558, 62573, 62588,
      62603, 62618, 62633, 62648, 62662, 62677, 62692, 62706,
      62721, 62735, 62750, 62764, 62779, 62793, 62808, 62822,
      62836, 62850, 62865, 62879, 62893, 62907, 62921, 62935,
      62949, 62963, 62977, 62991, 63005, 63019, 63032, 63046,
      63060, 63074, 63087, 63101, 63114, 63128, 63141, 63155,
      63168, 63182, 63195, 63208, 63221, 63235, 63248, 63261,
      63274, 63287, 63300, 63313, 63326, 63339, 63352, 63365,
      63378, 63390, 63403, 63416, 63429, 63441, 63454, 63466,
      63479, 63491, 63504, 63516, 63528, 63541, 63553, 63565,
      63578, 63590, 63602, 63614, 63626, 63638, 63650, 63662,
      63674, 63686, 63698, 63709, 63721, 63733, 63745, 63756,
      63768, 63779, 63791, 63803, 63814, 63825, 63837, 63848,
      63859, 63871, 63882, 63893, 63904, 63915, 63927, 63938,
      63949, 63960, 63971, 63981, 63992, 64003, 64014, 64025,
      64035, 64046, 64057, 64067, 64078, 64088, 64099, 64109,
      64120, 64130, 64140, 64151, 64161, 64171, 64181, 64192,
      64202, 64212, 64222, 64232, 64242, 64252, 64261, 64271,
      64281, 64291, 64301, 64310, 64320, 64330, 64339, 64349,
      64358, 64368, 64377, 64387, 64396, 64405, 64414, 64424,
      64433, 64442, 64451, 64460, 64469, 64478, 64487, 64496,
      64505, 64514, 64523, 64532, 64540, 64549, 64558, 64566,
      64575, 64584, 64592, 64601, 64609, 64617, 64626, 64634,
      64642, 64651, 64659, 64667, 64675, 64683, 64691, 64699,
      64707, 64715, 64723, 64731, 64739, 64747, 64754, 64762,
      64770, 64777, 64785, 64793, 64800, 64808, 64815, 64822,
      64830, 64837, 64844, 64852, 64859, 64866, 64873, 64880,
      64887, 64895, 64902, 64908, 64915, 64922, 64929, 64936,
      64943, 64949, 64956, 64963, 64969, 64976, 64982, 64989,
      64995, 65002, 65008, 65015, 65021, 65027, 65033, 65040,
      65046, 65052, 65058, 65064, 65070, 65076, 65082, 65088,
      65094, 65099, 65105, 65111, 65117, 65122, 65128, 65133,
      65139, 65144, 65150, 65155, 65161, 65166, 65171, 65177,
      65182, 65187, 65192, 65197, 65202, 65207, 65212, 65217,
      65222, 65227, 65232, 65237, 65242, 65246, 65251, 65256,
      65260, 65265, 65270, 65274, 65279, 65283, 65287, 65292,
      65296, 65300, 65305, 65309, 65313, 65317, 65321, 65325,
      65329, 65333, 65337, 65341, 65345, 65349, 65352, 65356,
      65360, 65363, 65367, 65371, 65374, 65378, 65381, 65385,
      65388, 65391, 65395, 65398, 65401, 65404, 65408, 65411,
      65414, 65417, 65420, 65423, 65426, 65429, 65431, 65434,
      65437, 65440, 65442, 65445, 65448, 65450, 65453, 65455,
      65458, 65460, 65463, 65465, 65467, 65470, 65472, 65474,
      65476, 65478, 65480, 65482, 65484, 65486, 65488, 65490,
      65492, 65494, 65496, 65497, 65499, 65501, 65502, 65504,
      65505, 65507, 65508, 65510, 65511, 65513, 65514, 65515,
      65516, 65518, 65519, 65520, 65521, 65522, 65523, 65524,
      65525, 65526, 65527, 65527, 65528, 65529, 65530, 65530,
      65531, 65531, 65532, 65532, 65533, 65533, 65534, 65534,
      65534, 65535, 65535, 65535, 65535, 65535, 65535, 65535,
      65535, 65535, 65535, 65535, 65535, 65535, 65535, 65534,
      65534, 65534, 65533, 65533, 65532, 65532, 65531, 65531,
      65530, 65530, 65529, 65528, 65527, 65527, 65526, 65525,
      65524, 65523, 65522, 65521, 65520, 65519, 65518, 65516,
      65515, 65514, 65513, 65511, 65510, 65508, 65507, 65505,
      65504, 65502, 65501, 65499, 65497, 65496, 65494, 65492,
      65490, 65488, 65486, 65484, 65482, 65480, 65478, 65476,
      65474, 65472, 65470, 65467, 65465, 65463, 65460, 65458,
      65455, 65453, 65450, 65448, 65445, 65442, 65440, 65437,
      65434, 65431, 65429, 65426, 65423, 65420, 65417, 65414,
      65411, 65408, 65404, 65401, 65398, 65395, 65391, 65388,
      65385, 65381, 65378, 65374, 65371, 65367, 65363, 65360,
      65356, 65352, 65349, 65345, 65341, 65337, 65333, 65329,
      65325, 65321, 65317, 65313, 65309, 65305, 65300, 65296,
      65292, 65287, 65283, 65279, 65274, 65270, 65265, 65260,
      65256, 65251, 65246, 65242, 65237, 65232, 65227, 65222,
      65217, 65212, 65207, 65202, 65197, 65192, 65187, 65182,
      65177, 65171, 65166, 65161, 65155, 65150, 65144, 65139,
      65133, 65128, 65122, 65117, 65111, 65105, 65099, 65094,
      65088, 65082, 65076, 65070, 65064, 65058, 65052, 65046,
      65040, 65033, 65027, 65021, 65015, 65008, 65002, 64995,
      64989, 64982, 64976, 64969, 64963, 64956, 64949, 64943,
      64936, 64929, 64922, 64915, 64908, 64902, 64895, 64887,
      64880, 64873, 64866, 64859, 64852, 64844, 64837, 64830,
      64822, 64815, 64808, 64800, 64793, 64785, 64777, 64770,
      64762, 64754, 64747, 64739, 64731, 64723, 64715, 64707,
      64699, 64691, 64683, 64675, 64667, 64659, 64651, 64642,
      64634, 64626, 64617, 64609, 64600, 64592, 64584, 64575,
      64566, 64558, 64549, 64540, 64532, 64523, 64514, 64505,
      64496, 64487, 64478, 64469, 64460, 64451, 64442, 64433,
      64424, 64414, 64405, 64396, 64387, 64377, 64368, 64358,
      64349, 64339, 64330, 64320, 64310, 64301, 64291, 64281,
      64271, 64261, 64252, 64242, 64232, 64222, 64212, 64202,
      64192, 64181, 64171, 64161, 64151, 64140, 64130, 64120,
      64109, 64099, 64088, 64078, 64067, 64057, 64046, 64035,
      64025, 64014, 64003, 63992, 63981, 63971, 63960, 63949,
      63938, 63927, 63915, 63904, 63893, 63882, 63871, 63859,
      63848, 63837, 63825, 63814, 63803, 63791, 63779, 63768,
      63756, 63745, 63733, 63721, 63709, 63698, 63686, 63674,
      63662, 63650, 63638, 63626, 63614, 63602, 63590, 63578,
      63565, 63553, 63541, 63528, 63516, 63504, 63491, 63479,
      63466, 63454, 63441, 63429, 63416, 63403, 63390, 63378,
      63365, 63352, 63339, 63326, 63313, 63300, 63287, 63274,
      63261, 63248, 63235, 63221, 63208, 63195, 63182, 63168,
      63155, 63141, 63128, 63114, 63101, 63087, 63074, 63060,
      63046, 63032, 63019, 63005, 62991, 62977, 62963, 62949,
      62935, 62921, 62907, 62893, 62879, 62865, 62850, 62836,
      62822, 62808, 62793, 62779, 62764, 62750, 62735, 62721,
      62706, 62692, 62677, 62662, 62648, 62633, 62618, 62603,
      62588, 62573, 62558, 62543, 62528, 62513, 62498, 62483,
      62468, 62453, 62437, 62422, 62407, 62391, 62376, 62360,
      62345, 62329, 62314, 62298, 62283, 62267, 62251, 62236,
      62220, 62204, 62188, 62172, 62156, 62141, 62125, 62108,
      62092, 62076, 62060, 62044, 62028, 62012, 61995, 61979,
      61963, 61946, 61930, 61913, 61897, 61880, 61864, 61847,
      61831, 61814, 61797, 61780, 61764, 61747, 61730, 61713,
      61696, 61679, 61662, 61645, 61628, 61611, 61594, 61577,
      61559, 61542, 61525, 61507, 61490, 61473, 61455, 61438,
      61420, 61403, 61385, 61367, 61350, 61332, 61314, 61297,
      61279, 61261, 61243, 61225, 61207, 61189, 61171, 61153,
      61135, 61117, 61099, 61081, 61062, 61044, 61026, 61007,
      60989, 60971, 60952, 60934, 60915, 60897, 60878, 60859,
      60841, 60822, 60803, 60785, 60766, 60747, 60728, 60709,
      60690, 60671, 60652, 60633, 60614, 60595, 60576, 60556,
      60537, 60518, 60499, 60479, 60460, 60441, 60421, 60402,
      60382, 60363, 60343, 60323, 60304, 60284, 60264, 60244,
      60225, 60205, 60185, 60165, 60145, 60125, 60105, 60085,
      60065, 60045, 60025, 60004, 59984, 59964, 59944, 59923,
      59903, 59883, 59862, 59842, 59821, 59801, 59780, 59759,
      59739, 59718, 59697, 59677, 59656, 59635, 59614, 59593,
      59572, 59551, 59530, 59509, 59488, 59467, 59446, 59425,
      59404, 59382, 59361, 59340, 59318, 59297, 59276, 59254,
      59233, 59211, 59190, 59168, 59146, 59125, 59103, 59081,
      59059, 59038, 59016, 58994, 58972, 58950, 58928, 58906,
      58884, 58862, 58840, 58818, 58795, 58773, 58751, 58729,
      58706, 58684, 58662, 58639, 58617, 58594, 58572, 58549,
      58527, 58504, 58481, 58459, 58436, 58413, 58390, 58367,
      58345, 58322, 58299, 58276, 58253, 58230, 58207, 58183,
      58160, 58137, 58114, 58091, 58067, 58044, 58021, 57997,
      57974, 57950, 57927, 57903, 57880, 57856, 57833, 57809,
      57785, 57762, 57738, 57714, 57690, 57666, 57642, 57618,
      57594, 57570, 57546, 57522, 57498, 57474, 57450, 57426,
      57402, 57377, 57353, 57329, 57304, 57280, 57255, 57231,
      57206, 57182, 57157, 57133, 57108, 57083, 57059, 57034,
      57009, 56984, 56959, 56935, 56910, 56885, 56860, 56835,
      56810, 56785, 56760, 56734, 56709, 56684, 56659, 56633,
      56608, 56583, 56557, 56532, 56507, 56481, 56456, 56430,
      56404, 56379, 56353, 56328, 56302, 56276, 56250, 56225,
      56199, 56173, 56147, 56121, 56095, 56069, 56043, 56017,
      55991, 55965, 55938, 55912, 55886, 55860, 55833, 55807,
      55781, 55754, 55728, 55701, 55675, 55648, 55622, 55595,
      55569, 55542, 55515, 55489, 55462, 55435, 55408, 55381,
      55354, 55327, 55300, 55274, 55246, 55219, 55192, 55165,
      55138, 55111, 55084, 55056, 55029, 55002, 54974, 54947,
      54920, 54892, 54865, 54837, 54810, 54782, 54755, 54727,
      54699, 54672, 54644, 54616, 54588, 54560, 54533, 54505,
      54477, 54449, 54421, 54393, 54365, 54337, 54308, 54280,
      54252, 54224, 54196, 54167, 54139, 54111, 54082, 54054,
      54026, 53997, 53969, 53940, 53911, 53883, 53854, 53826,
      53797, 53768, 53739, 53711, 53682, 53653, 53624, 53595,
      53566, 53537, 53508, 53479, 53450, 53421, 53392, 53363,
      53334, 53304, 53275, 53246, 53216, 53187, 53158, 53128,
      53099, 53069, 53040, 53010, 52981, 52951, 52922, 52892,
      52862, 52832, 52803, 52773, 52743, 52713, 52683, 52653,
      52624, 52594, 52564, 52534, 52503, 52473, 52443, 52413,
      52383, 52353, 52322, 52292, 52262, 52231, 52201, 52171,
      52140, 52110, 52079, 52049, 52018, 51988, 51957, 51926,
      51896, 51865, 51834, 51803, 51773, 51742, 51711, 51680,
      51649, 51618, 51587, 51556, 51525, 51494, 51463, 51432,
      51401, 51369, 51338, 51307, 51276, 51244, 51213, 51182,
      51150, 51119, 51087, 51056, 51024, 50993, 50961, 50929,
      50898, 50866, 50834, 50803, 50771, 50739, 50707, 50675,
      50644, 50612, 50580, 50548, 50516, 50484, 50452, 50420,
      50387, 50355, 50323, 50291, 50259, 50226, 50194, 50162,
      50129, 50097, 50065, 50032, 50000, 49967, 49935, 49902,
      49869, 49837, 49804, 49771, 49739, 49706, 49673, 49640,
      49608, 49575, 49542, 49509, 49476, 49443, 49410, 49377,
      49344, 49311, 49278, 49244, 49211, 49178, 49145, 49112,
      49078, 49045, 49012, 48978, 48945, 48911, 48878, 48844,
      48811, 48777, 48744, 48710, 48676, 48643, 48609, 48575,
      48542, 48508, 48474, 48440, 48406, 48372, 48338, 48304,
      48271, 48237, 48202, 48168, 48134, 48100, 48066, 48032,
      47998, 47963, 47929, 47895, 47860, 47826, 47792, 47757,
      47723, 47688, 47654, 47619, 47585, 47550, 47516, 47481,
      47446, 47412, 47377, 47342, 47308, 47273, 47238, 47203,
      47168, 47133, 47098, 47063, 47028, 46993, 46958, 46923,
      46888, 46853, 46818, 46783, 46747, 46712, 46677, 46642,
      46606, 46571, 46536, 46500, 46465, 46429, 46394, 46358,
      46323, 46287, 46252, 46216, 46180, 46145, 46109, 46073,
      46037, 46002, 45966, 45930, 45894, 45858, 45822, 45786,
      45750, 45714, 45678, 45642, 45606, 45570, 45534, 45498,
      45462, 45425, 45389, 45353, 45316, 45280, 45244, 45207,
      45171, 45135, 45098, 45062, 45025, 44989, 44952, 44915,
      44879, 44842, 44806, 44769, 44732, 44695, 44659, 44622,
      44585, 44548, 44511, 44474, 44437, 44400, 44363, 44326,
      44289, 44252, 44215, 44178, 44141, 44104, 44067, 44029,
      43992, 43955, 43918, 43880, 43843, 43806, 43768, 43731,
      43693, 43656, 43618, 43581, 43543, 43506, 43468, 43430,
      43393, 43355, 43317, 43280, 43242, 43204, 43166, 43128,
      43091, 43053, 43015, 42977, 42939, 42901, 42863, 42825,
      42787, 42749, 42711, 42672, 42634, 42596, 42558, 42520,
      42481, 42443, 42405, 42366, 42328, 42290, 42251, 42213,
      42174, 42136, 42097, 42059, 42020, 41982, 41943, 41904,
      41866, 41827, 41788, 41750, 41711, 41672, 41633, 41595,
      41556, 41517, 41478, 41439, 41400, 41361, 41322, 41283,
      41244, 41205, 41166, 41127, 41088, 41048, 41009, 40970,
      40931, 40891, 40852, 40813, 40773, 40734, 40695, 40655,
      40616, 40576, 40537, 40497, 40458, 40418, 40379, 40339,
      40300, 40260, 40220, 40180, 40141, 40101, 40061, 40021,
      39982, 39942, 39902, 39862, 39822, 39782, 39742, 39702,
      39662, 39622, 39582, 39542, 39502, 39462, 39422, 39382,
      39341, 39301, 39261, 39221, 39180, 39140, 39100, 39059,
      39019, 38979, 38938, 38898, 38857, 38817, 38776, 38736,
      38695, 38655, 38614, 38573, 38533, 38492, 38451, 38411,
      38370, 38329, 38288, 38248, 38207, 38166, 38125, 38084,
      38043, 38002, 37961, 37920, 37879, 37838, 37797, 37756,
      37715, 37674, 37633, 37592, 37551, 37509, 37468, 37427,
      37386, 37344, 37303, 37262, 37220, 37179, 37137, 37096,
      37055, 37013, 36972, 36930, 36889, 36847, 36805, 36764,
      36722, 36681, 36639, 36597, 36556, 36514, 36472, 36430,
      36388, 36347, 36305, 36263, 36221, 36179, 36137, 36095,
      36053, 36011, 35969, 35927, 35885, 35843, 35801, 35759,
      35717, 35675, 35633, 35590, 35548, 35506, 35464, 35421,
      35379, 35337, 35294, 35252, 35210, 35167, 35125, 35082,
      35040, 34997, 34955, 34912, 34870, 34827, 34785, 34742,
      34699, 34657, 34614, 34571, 34529, 34486, 34443, 34400,
      34358, 34315, 34272, 34229, 34186, 34143, 34100, 34057,
      34015, 33972, 33929, 33886, 33843, 33799, 33756, 33713,
      33670, 33627, 33584, 33541, 33498, 33454, 33411, 33368,
      33325, 33281, 33238, 33195, 33151, 33108, 33065, 33021,
      32978, 32934, 32891, 32847, 32804, 32760, 32717, 32673,
      32630, 32586, 32542, 32499, 32455, 32411, 32368, 32324,
      32280, 32236, 32193, 32149, 32105, 32061, 32017, 31974,
      31930, 31886, 31842, 31798, 31754, 31710, 31666, 31622,
      31578, 31534, 31490, 31446, 31402, 31357, 31313, 31269,
      31225, 31181, 31136, 31092, 31048, 31004, 30959, 30915,
      30871, 30826, 30782, 30738, 30693, 30649, 30604, 30560,
      30515, 30471, 30426, 30382, 30337, 30293, 30248, 30204,
      30159, 30114, 30070, 30025, 29980, 29936, 29891, 29846,
      29801, 29757, 29712, 29667, 29622, 29577, 29533, 29488,
      29443, 29398, 29353, 29308, 29263, 29218, 29173, 29128,
      29083, 29038, 28993, 28948, 28903, 28858, 28812, 28767,
      28722, 28677, 28632, 28586, 28541, 28496, 28451, 28405,
      28360, 28315, 28269, 28224, 28179, 28133, 28088, 28042,
      27997, 27952, 27906, 27861, 27815, 27770, 27724, 27678,
      27633, 27587, 27542, 27496, 27450, 27405, 27359, 27313,
      27268, 27222, 27176, 27131, 27085, 27039, 26993, 26947,
      26902, 26856, 26810, 26764, 26718, 26672, 26626, 26580,
      26534, 26488, 26442, 26396, 26350, 26304, 26258, 26212,
      26166, 26120, 26074, 26028, 25982, 25936, 25889, 25843,
      25797, 25751, 25705, 25658, 25612, 25566, 25520, 25473,
      25427, 25381, 25334, 25288, 25241, 25195, 25149, 25102,
      25056, 25009, 24963, 24916, 24870, 24823, 24777, 24730,
      24684, 24637, 24591, 24544, 24497, 24451, 24404, 24357,
      24311, 24264, 24217, 24171, 24124, 24077, 24030, 23984,
      23937, 23890, 23843, 23796, 23750, 23703, 23656, 23609,
      23562, 23515, 23468, 23421, 23374, 23327, 23280, 23233,
      23186, 23139, 23092, 23045, 22998, 22951, 22904, 22857,
      22810, 22763, 22716, 22668, 22621, 22574, 22527, 22480,
      22433, 22385, 22338, 22291, 22243, 22196, 22149, 22102,
      22054, 22007, 21960, 21912, 21865, 21817, 21770, 21723,
      21675, 21628, 21580, 21533, 21485, 21438, 21390, 21343,
      21295, 21248, 21200, 21153, 21105, 21057, 21010, 20962,
      20915, 20867, 20819, 20772, 20724, 20676, 20629, 20581,
      20533, 20485, 20438, 20390, 20342, 20294, 20246, 20199,
      20151, 20103, 20055, 20007, 19959, 19912, 19864, 19816,
      19768, 19720, 19672, 19624, 19576, 19528, 19480, 19432,
      19384, 19336, 19288, 19240, 19192, 19144, 19096, 19048,
      19000, 18951, 18903, 18855, 18807, 18759, 18711, 18663,
      18614, 18566, 18518, 18470, 18421, 18373, 18325, 18277,
      18228, 18180, 18132, 18084, 18035, 17987, 17939, 17890,
      17842, 17793, 17745, 17697, 17648, 17600, 17551, 17503,
      17455, 17406, 17358, 17309, 17261, 17212, 17164, 17115,
      17067, 17018, 16970, 16921, 16872, 16824, 16775, 16727,
      16678, 16629, 16581, 16532, 16484, 16435, 16386, 16338,
      16289, 16240, 16191, 16143, 16094, 16045, 15997, 15948,
      15899, 15850, 15802, 15753, 15704, 15655, 15606, 15557,
      15509, 15460, 15411, 15362, 15313, 15264, 15215, 15167,
      15118, 15069, 15020, 14971, 14922, 14873, 14824, 14775,
      14726, 14677, 14628, 14579, 14530, 14481, 14432, 14383,
      14334, 14285, 14236, 14187, 14138, 14089, 14040, 13990,
      13941, 13892, 13843, 13794, 13745, 13696, 13646, 13597,
      13548, 13499, 13450, 13401, 13351, 13302, 13253, 13204,
      13154, 13105, 13056, 13007, 12957, 12908, 12859, 12810,
      12760, 12711, 12662, 12612, 12563, 12514, 12464, 12415,
      12366, 12316, 12267, 12218, 12168, 12119, 12069, 12020,
      11970, 11921, 11872, 11822, 11773, 11723, 11674, 11624,
      11575, 11525, 11476, 11426, 11377, 11327, 11278, 11228,
      11179, 11129, 11080, 11030, 10981, 10931, 10882, 10832,
      10782, 10733, 10683, 10634, 10584, 10534, 10485, 10435,
      10386, 10336, 10286, 10237, 10187, 10137, 10088, 10038,
      9988, 9939, 9889, 9839, 9790, 9740, 9690, 9640,
      9591, 9541, 9491, 9442, 9392, 9342, 9292, 9243,
      9193, 9143, 9093, 9043, 8994, 8944, 8894, 8844,
      8794, 8745, 8695, 8645, 8595, 8545, 8496, 8446,
      8396, 8346, 8296, 8246, 8196, 8147, 8097, 8047,
      7997, 7947, 7897, 7847, 7797, 7747, 7697, 7648,
      7598, 7548, 7498, 7448, 7398, 7348, 7298, 7248,
      7198, 7148, 7098, 7048, 6998, 6948, 6898, 6848,
      6798, 6748, 6698, 6648, 6598, 6548, 6498, 6448,
      6398, 6348, 6298, 6248, 6198, 6148, 6098, 6048,
      5998, 5948, 5898, 5848, 5798, 5748, 5697, 5647,
      5597, 5547, 5497, 5447, 5397, 5347, 5297, 5247,
      5197, 5146, 5096, 5046, 4996, 4946, 4896, 4846,
      4796, 4745, 4695, 4645, 4595, 4545, 4495, 4445,
      4394, 4344, 4294, 4244, 4194, 4144, 4093, 4043,
      3993, 3943, 3893, 3843, 3792, 3742, 3692, 3642,
      3592, 3541, 3491, 3441, 3391, 3341, 3291, 3240,
      3190, 3140, 3090, 3039, 2989, 2939, 2889, 2839,
      2788, 2738, 2688, 2638, 2587, 2537, 2487, 2437,
      2387, 2336, 2286, 2236, 2186, 2135, 2085, 2035,
      1985, 1934, 1884, 1834, 1784, 1733, 1683, 1633,
      1583, 1532, 1482, 1432, 1382, 1331, 1281, 1231,
      1181, 1130, 1080, 1030, 980, 929, 879, 829,
      779, 728, 678, 628, 578, 527, 477, 427,
      376, 326, 276, 226, 175, 125, 75, 25,
      -25, -75, -125, -175, -226, -276, -326, -376,
      -427, -477, -527, -578, -628, -678, -728, -779,
      -829, -879, -929, -980, -1030, -1080, -1130, -1181,
      -1231, -1281, -1331, -1382, -1432, -1482, -1532, -1583,
      -1633, -1683, -1733, -1784, -1834, -1884, -1934, -1985,
      -2035, -2085, -2135, -2186, -2236, -2286, -2336, -2387,
      -2437, -2487, -2537, -2588, -2638, -2688, -2738, -2788,
      -2839, -2889, -2939, -2989, -3039, -3090, -3140, -3190,
      -3240, -3291, -3341, -3391, -3441, -3491, -3541, -3592,
      -3642, -3692, -3742, -3792, -3843, -3893, -3943, -3993,
      -4043, -4093, -4144, -4194, -4244, -4294, -4344, -4394,
      -4445, -4495, -4545, -4595, -4645, -4695, -4745, -4796,
      -4846, -4896, -4946, -4996, -5046, -5096, -5146, -5197,
      -5247, -5297, -5347, -5397, -5447, -5497, -5547, -5597,
      -5647, -5697, -5748, -5798, -5848, -5898, -5948, -5998,
      -6048, -6098, -6148, -6198, -6248, -6298, -6348, -6398,
      -6448, -6498, -6548, -6598, -6648, -6698, -6748, -6798,
      -6848, -6898, -6948, -6998, -7048, -7098, -7148, -7198,
      -7248, -7298, -7348, -7398, -7448, -7498, -7548, -7598,
      -7648, -7697, -7747, -7797, -7847, -7897, -7947, -7997,
      -8047, -8097, -8147, -8196, -8246, -8296, -8346, -8396,
      -8446, -8496, -8545, -8595, -8645, -8695, -8745, -8794,
      -8844, -8894, -8944, -8994, -9043, -9093, -9143, -9193,
      -9243, -9292, -9342, -9392, -9442, -9491, -9541, -9591,
      -9640, -9690, -9740, -9790, -9839, -9889, -9939, -9988,
      -10038, -10088, -10137, -10187, -10237, -10286, -10336, -10386,
      -10435, -10485, -10534, -10584, -10634, -10683, -10733, -10782,
      -10832, -10882, -10931, -10981, -11030, -11080, -11129, -11179,
      -11228, -11278, -11327, -11377, -11426, -11476, -11525, -11575,
      -11624, -11674, -11723, -11773, -11822, -11872, -11921, -11970,
      -12020, -12069, -12119, -12168, -12218, -12267, -12316, -12366,
      -12415, -12464, -12514, -12563, -12612, -12662, -12711, -12760,
      -12810, -12859, -12908, -12957, -13007, -13056, -13105, -13154,
      -13204, -13253, -13302, -13351, -13401, -13450, -13499, -13548,
      -13597, -13647, -13696, -13745, -13794, -13843, -13892, -13941,
      -13990, -14040, -14089, -14138, -14187, -14236, -14285, -14334,
      -14383, -14432, -14481, -14530, -14579, -14628, -14677, -14726,
      -14775, -14824, -14873, -14922, -14971, -15020, -15069, -15118,
      -15167, -15215, -15264, -15313, -15362, -15411, -15460, -15509,
      -15557, -15606, -15655, -15704, -15753, -15802, -15850, -15899,
      -15948, -15997, -16045, -16094, -16143, -16191, -16240, -16289,
      -16338, -16386, -16435, -16484, -16532, -16581, -16629, -16678,
      -16727, -16775, -16824, -16872, -16921, -16970, -17018, -17067,
      -17115, -17164, -17212, -17261, -17309, -17358, -17406, -17455,
      -17503, -17551, -17600, -17648, -17697, -17745, -17793, -17842,
      -17890, -17939, -17987, -18035, -18084, -18132, -18180, -18228,
      -18277, -18325, -18373, -18421, -18470, -18518, -18566, -18614,
      -18663, -18711, -18759, -18807, -18855, -18903, -18951, -19000,
      -19048, -19096, -19144, -19192, -19240, -19288, -19336, -19384,
      -19432, -19480, -19528, -19576, -19624, -19672, -19720, -19768,
      -19816, -19864, -19912, -19959, -20007, -20055, -20103, -20151,
      -20199, -20246, -20294, -20342, -20390, -20438, -20485, -20533,
      -20581, -20629, -20676, -20724, -20772, -20819, -20867, -20915,
      -20962, -21010, -21057, -21105, -21153, -21200, -21248, -21295,
      -21343, -21390, -21438, -21485, -21533, -21580, -21628, -21675,
      -21723, -21770, -21817, -21865, -21912, -21960, -22007, -22054,
      -22102, -22149, -22196, -22243, -22291, -22338, -22385, -22433,
      -22480, -22527, -22574, -22621, -22668, -22716, -22763, -22810,
      -22857, -22904, -22951, -22998, -23045, -23092, -23139, -23186,
      -23233, -23280, -23327, -23374, -23421, -23468, -23515, -23562,
      -23609, -23656, -23703, -23750, -23796, -23843, -23890, -23937,
      -23984, -24030, -24077, -24124, -24171, -24217, -24264, -24311,
      -24357, -24404, -24451, -24497, -24544, -24591, -24637, -24684,
      -24730, -24777, -24823, -24870, -24916, -24963, -25009, -25056,
      -25102, -25149, -25195, -25241, -25288, -25334, -25381, -25427,
      -25473, -25520, -25566, -25612, -25658, -25705, -25751, -25797,
      -25843, -25889, -25936, -25982, -26028, -26074, -26120, -26166,
      -26212, -26258, -26304, -26350, -26396, -26442, -26488, -26534,
      -26580, -26626, -26672, -26718, -26764, -26810, -26856, -26902,
      -26947, -26993, -27039, -27085, -27131, -27176, -27222, -27268,
      -27313, -27359, -27405, -27450, -27496, -27542, -27587, -27633,
      -27678, -27724, -27770, -27815, -27861, -27906, -27952, -27997,
      -28042, -28088, -28133, -28179, -28224, -28269, -28315, -28360,
      -28405, -28451, -28496, -28541, -28586, -28632, -28677, -28722,
      -28767, -28812, -28858, -28903, -28948, -28993, -29038, -29083,
      -29128, -29173, -29218, -29263, -29308, -29353, -29398, -29443,
      -29488, -29533, -29577, -29622, -29667, -29712, -29757, -29801,
      -29846, -29891, -29936, -29980, -30025, -30070, -30114, -30159,
      -30204, -30248, -30293, -30337, -30382, -30426, -30471, -30515,
      -30560, -30604, -30649, -30693, -30738, -30782, -30826, -30871,
      -30915, -30959, -31004, -31048, -31092, -31136, -31181, -31225,
      -31269, -31313, -31357, -31402, -31446, -31490, -31534, -31578,
      -31622, -31666, -31710, -31754, -31798, -31842, -31886, -31930,
      -31974, -32017, -32061, -32105, -32149, -32193, -32236, -32280,
      -32324, -32368, -32411, -32455, -32499, -32542, -32586, -32630,
      -32673, -32717, -32760, -32804, -32847, -32891, -32934, -32978,
      -33021, -33065, -33108, -33151, -33195, -33238, -33281, -33325,
      -33368, -33411, -33454, -33498, -33541, -33584, -33627, -33670,
      -33713, -33756, -33799, -33843, -33886, -33929, -33972, -34015,
      -34057, -34100, -34143, -34186, -34229, -34272, -34315, -34358,
      -34400, -34443, -34486, -34529, -34571, -34614, -34657, -34699,
      -34742, -34785, -34827, -34870, -34912, -34955, -34997, -35040,
      -35082, -35125, -35167, -35210, -35252, -35294, -35337, -35379,
      -35421, -35464, -35506, -35548, -35590, -35633, -35675, -35717,
      -35759, -35801, -35843, -35885, -35927, -35969, -36011, -36053,
      -36095, -36137, -36179, -36221, -36263, -36305, -36347, -36388,
      -36430, -36472, -36514, -36555, -36597, -36639, -36681, -36722,
      -36764, -36805, -36847, -36889, -36930, -36972, -37013, -37055,
      -37096, -37137, -37179, -37220, -37262, -37303, -37344, -37386,
      -37427, -37468, -37509, -37551, -37592, -37633, -37674, -37715,
      -37756, -37797, -37838, -37879, -37920, -37961, -38002, -38043,
      -38084, -38125, -38166, -38207, -38248, -38288, -38329, -38370,
      -38411, -38451, -38492, -38533, -38573, -38614, -38655, -38695,
      -38736, -38776, -38817, -38857, -38898, -38938, -38979, -39019,
      -39059, -39100, -39140, -39180, -39221, -39261, -39301, -39341,
      -39382, -39422, -39462, -39502, -39542, -39582, -39622, -39662,
      -39702, -39742, -39782, -39822, -39862, -39902, -39942, -39982,
      -40021, -40061, -40101, -40141, -40180, -40220, -40260, -40299,
      -40339, -40379, -40418, -40458, -40497, -40537, -40576, -40616,
      -40655, -40695, -40734, -40773, -40813, -40852, -40891, -40931,
      -40970, -41009, -41048, -41087, -41127, -41166, -41205, -41244,
      -41283, -41322, -41361, -41400, -41439, -41478, -41517, -41556,
      -41595, -41633, -41672, -41711, -41750, -41788, -41827, -41866,
      -41904, -41943, -41982, -42020, -42059, -42097, -42136, -42174,
      -42213, -42251, -42290, -42328, -42366, -42405, -42443, -42481,
      -42520, -42558, -42596, -42634, -42672, -42711, -42749, -42787,
      -42825, -42863, -42901, -42939, -42977, -43015, -43053, -43091,
      -43128, -43166, -43204, -43242, -43280, -43317, -43355, -43393,
      -43430, -43468, -43506, -43543, -43581, -43618, -43656, -43693,
      -43731, -43768, -43806, -43843, -43880, -43918, -43955, -43992,
      -44029, -44067, -44104, -44141, -44178, -44215, -44252, -44289,
      -44326, -44363, -44400, -44437, -44474, -44511, -44548, -44585,
      -44622, -44659, -44695, -44732, -44769, -44806, -44842, -44879,
      -44915, -44952, -44989, -45025, -45062, -45098, -45135, -45171,
      -45207, -45244, -45280, -45316, -45353, -45389, -45425, -45462,
      -45498, -45534, -45570, -45606, -45642, -45678, -45714, -45750,
      -45786, -45822, -45858, -45894, -45930, -45966, -46002, -46037,
      -46073, -46109, -46145, -46180, -46216, -46252, -46287, -46323,
      -46358, -46394, -46429, -46465, -46500, -46536, -46571, -46606,
      -46642, -46677, -46712, -46747, -46783, -46818, -46853, -46888,
      -46923, -46958, -46993, -47028, -47063, -47098, -47133, -47168,
      -47203, -47238, -47273, -47308, -47342, -47377, -47412, -47446,
      -47481, -47516, -47550, -47585, -47619, -47654, -47688, -47723,
      -47757, -47792, -47826, -47860, -47895, -47929, -47963, -47998,
      -48032, -48066, -48100, -48134, -48168, -48202, -48236, -48271,
      -48304, -48338, -48372, -48406, -48440, -48474, -48508, -48542,
      -48575, -48609, -48643, -48676, -48710, -48744, -48777, -48811,
      -48844, -48878, -48911, -48945, -48978, -49012, -49045, -49078,
      -49112, -49145, -49178, -49211, -49244, -49278, -49311, -49344,
      -49377, -49410, -49443, -49476, -49509, -49542, -49575, -49608,
      -49640, -49673, -49706, -49739, -49771, -49804, -49837, -49869,
      -49902, -49935, -49967, -50000, -50032, -50065, -50097, -50129,
      -50162, -50194, -50226, -50259, -50291, -50323, -50355, -50387,
      -50420, -50452, -50484, -50516, -50548, -50580, -50612, -50644,
      -50675, -50707, -50739, -50771, -50803, -50834, -50866, -50898,
      -50929, -50961, -50993, -51024, -51056, -51087, -51119, -51150,
      -51182, -51213, -51244, -51276, -51307, -51338, -51369, -51401,
      -51432, -51463, -51494, -51525, -51556, -51587, -51618, -51649,
      -51680, -51711, -51742, -51773, -51803, -51834, -51865, -51896,
      -51926, -51957, -51988, -52018, -52049, -52079, -52110, -52140,
      -52171, -52201, -52231, -52262, -52292, -52322, -52353, -52383,
      -52413, -52443, -52473, -52503, -52534, -52564, -52594, -52624,
      -52653, -52683, -52713, -52743, -52773, -52803, -52832, -52862,
      -52892, -52922, -52951, -52981, -53010, -53040, -53069, -53099,
      -53128, -53158, -53187, -53216, -53246, -53275, -53304, -53334,
      -53363, -53392, -53421, -53450, -53479, -53508, -53537, -53566,
      -53595, -53624, -53653, -53682, -53711, -53739, -53768, -53797,
      -53826, -53854, -53883, -53911, -53940, -53969, -53997, -54026,
      -54054, -54082, -54111, -54139, -54167, -54196, -54224, -54252,
      -54280, -54308, -54337, -54365, -54393, -54421, -54449, -54477,
      -54505, -54533, -54560, -54588, -54616, -54644, -54672, -54699,
      -54727, -54755, -54782, -54810, -54837, -54865, -54892, -54920,
      -54947, -54974, -55002, -55029, -55056, -55084, -55111, -55138,
      -55165, -55192, -55219, -55246, -55274, -55300, -55327, -55354,
      -55381, -55408, -55435, -55462, -55489, -55515, -55542, -55569,
      -55595, -55622, -55648, -55675, -55701, -55728, -55754, -55781,
      -55807, -55833, -55860, -55886, -55912, -55938, -55965, -55991,
      -56017, -56043, -56069, -56095, -56121, -56147, -56173, -56199,
      -56225, -56250, -56276, -56302, -56328, -56353, -56379, -56404,
      -56430, -56456, -56481, -56507, -56532, -56557, -56583, -56608,
      -56633, -56659, -56684, -56709, -56734, -56760, -56785, -56810,
      -56835, -56860, -56885, -56910, -56935, -56959, -56984, -57009,
      -57034, -57059, -57083, -57108, -57133, -57157, -57182, -57206,
      -57231, -57255, -57280, -57304, -57329, -57353, -57377, -57402,
      -57426, -57450, -57474, -57498, -57522, -57546, -57570, -57594,
      -57618, -57642, -57666, -57690, -57714, -57738, -57762, -57785,
      -57809, -57833, -57856, -57880, -57903, -57927, -57950, -57974,
      -57997, -58021, -58044, -58067, -58091, -58114, -58137, -58160,
      -58183, -58207, -58230, -58253, -58276, -58299, -58322, -58345,
      -58367, -58390, -58413, -58436, -58459, -58481, -58504, -58527,
      -58549, -58572, -58594, -58617, -58639, -58662, -58684, -58706,
      -58729, -58751, -58773, -58795, -58818, -58840, -58862, -58884,
      -58906, -58928, -58950, -58972, -58994, -59016, -59038, -59059,
      -59081, -59103, -59125, -59146, -59168, -59190, -59211, -59233,
      -59254, -59276, -59297, -59318, -59340, -59361, -59382, -59404,
      -59425, -59446, -59467, -59488, -59509, -59530, -59551, -59572,
      -59593, -59614, -59635, -59656, -59677, -59697, -59718, -59739,
      -59759, -59780, -59801, -59821, -59842, -59862, -59883, -59903,
      -59923, -59944, -59964, -59984, -60004, -60025, -60045, -60065,
      -60085, -60105, -60125, -60145, -60165, -60185, -60205, -60225,
      -60244, -60264, -60284, -60304, -60323, -60343, -60363, -60382,
      -60402, -60421, -60441, -60460, -60479, -60499, -60518, -60537,
      -60556, -60576, -60595, -60614, -60633, -60652, -60671, -60690,
      -60709, -60728, -60747, -60766, -60785, -60803, -60822, -60841,
      -60859, -60878, -60897, -60915, -60934, -60952, -60971, -60989,
      -61007, -61026, -61044, -61062, -61081, -61099, -61117, -61135,
      -61153, -61171, -61189, -61207, -61225, -61243, -61261, -61279,
      -61297, -61314, -61332, -61350, -61367, -61385, -61403, -61420,
      -61438, -61455, -61473, -61490, -61507, -61525, -61542, -61559,
      -61577, -61594, -61611, -61628, -61645, -61662, -61679, -61696,
      -61713, -61730, -61747, -61764, -61780, -61797, -61814, -61831,
      -61847, -61864, -61880, -61897, -61913, -61930, -61946, -61963,
      -61979, -61995, -62012, -62028, -62044, -62060, -62076, -62092,
      -62108, -62125, -62141, -62156, -62172, -62188, -62204, -62220,
      -62236, -62251, -62267, -62283, -62298, -62314, -62329, -62345,
      -62360, -62376, -62391, -62407, -62422, -62437, -62453, -62468,
      -62483, -62498, -62513, -62528, -62543, -62558, -62573, -62588,
      -62603, -62618, -62633, -62648, -62662, -62677, -62692, -62706,
      -62721, -62735, -62750, -62764, -62779, -62793, -62808, -62822,
      -62836, -62850, -62865, -62879, -62893, -62907, -62921, -62935,
      -62949, -62963, -62977, -62991, -63005, -63019, -63032, -63046,
      -63060, -63074, -63087, -63101, -63114, -63128, -63141, -63155,
      -63168, -63182, -63195, -63208, -63221, -63235, -63248, -63261,
      -63274, -63287, -63300, -63313, -63326, -63339, -63352, -63365,
      -63378, -63390, -63403, -63416, -63429, -63441, -63454, -63466,
      -63479, -63491, -63504, -63516, -63528, -63541, -63553, -63565,
      -63578, -63590, -63602, -63614, -63626, -63638, -63650, -63662,
      -63674, -63686, -63698, -63709, -63721, -63733, -63745, -63756,
      -63768, -63779, -63791, -63803, -63814, -63825, -63837, -63848,
      -63859, -63871, -63882, -63893, -63904, -63915, -63927, -63938,
      -63949, -63960, -63971, -63981, -63992, -64003, -64014, -64025,
      -64035, -64046, -64057, -64067, -64078, -64088, -64099, -64109,
      -64120, -64130, -64140, -64151, -64161, -64171, -64181, -64192,
      -64202, -64212, -64222, -64232, -64242, -64252, -64261, -64271,
      -64281, -64291, -64301, -64310, -64320, -64330, -64339, -64349,
      -64358, -64368, -64377, -64387, -64396, -64405, -64414, -64424,
      -64433, -64442, -64451, -64460, -64469, -64478, -64487, -64496,
      -64505, -64514, -64523, -64532, -64540, -64549, -64558, -64566,
      -64575, -64584, -64592, -64601, -64609, -64617, -64626, -64634,
      -64642, -64651, -64659, -64667, -64675, -64683, -64691, -64699,
      -64707, -64715, -64723, -64731, -64739, -64747, -64754, -64762,
      -64770, -64777, -64785, -64793, -64800, -64808, -64815, -64822,
      -64830, -64837, -64844, -64852, -64859, -64866, -64873, -64880,
      -64887, -64895, -64902, -64908, -64915, -64922, -64929, -64936,
      -64943, -64949, -64956, -64963, -64969, -64976, -64982, -64989,
      -64995, -65002, -65008, -65015, -65021, -65027, -65033, -65040,
      -65046, -65052, -65058, -65064, -65070, -65076, -65082, -65088,
      -65094, -65099, -65105, -65111, -65117, -65122, -65128, -65133,
      -65139, -65144, -65150, -65155, -65161, -65166, -65171, -65177,
      -65182, -65187, -65192, -65197, -65202, -65207, -65212, -65217,
      -65222, -65227, -65232, -65237, -65242, -65246, -65251, -65256,
      -65260, -65265, -65270, -65274, -65279, -65283, -65287, -65292,
      -65296, -65300, -65305, -65309, -65313, -65317, -65321, -65325,
      -65329, -65333, -65337, -65341, -65345, -65349, -65352, -65356,
      -65360, -65363, -65367, -65371, -65374, -65378, -65381, -65385,
      -65388, -65391, -65395, -65398, -65401, -65404, -65408, -65411,
      -65414, -65417, -65420, -65423, -65426, -65429, -65431, -65434,
      -65437, -65440, -65442, -65445, -65448, -65450, -65453, -65455,
      -65458, -65460, -65463, -65465, -65467, -65470, -65472, -65474,
      -65476, -65478, -65480, -65482, -65484, -65486, -65488, -65490,
      -65492, -65494, -65496, -65497, -65499, -65501, -65502, -65504,
      -65505, -65507, -65508, -65510, -65511, -65513, -65514, -65515,
      -65516, -65518, -65519, -65520, -65521, -65522, -65523, -65524,
      -65525, -65526, -65527, -65527, -65528, -65529, -65530, -65530,
      -65531, -65531, -65532, -65532, -65533, -65533, -65534, -65534,
      -65534, -65535, -65535, -65535, -65535, -65535, -65535, -65535,
      -65535, -65535, -65535, -65535, -65535, -65535, -65535, -65534,
      -65534, -65534, -65533, -65533, -65532, -65532, -65531, -65531,
      -65530, -65530, -65529, -65528, -65527, -65527, -65526, -65525,
      -65524, -65523, -65522, -65521, -65520, -65519, -65518, -65516,
      -65515, -65514, -65513, -65511, -65510, -65508, -65507, -65505,
      -65504, -65502, -65501, -65499, -65497, -65496, -65494, -65492,
      -65490, -65488, -65486, -65484, -65482, -65480, -65478, -65476,
      -65474, -65472, -65470, -65467, -65465, -65463, -65460, -65458,
      -65455, -65453, -65450, -65448, -65445, -65442, -65440, -65437,
      -65434, -65431, -65429, -65426, -65423, -65420, -65417, -65414,
      -65411, -65408, -65404, -65401, -65398, -65395, -65391, -65388,
      -65385, -65381, -65378, -65374, -65371, -65367, -65363, -65360,
      -65356, -65352, -65349, -65345, -65341, -65337, -65333, -65329,
      -65325, -65321, -65317, -65313, -65309, -65305, -65300, -65296,
      -65292, -65287, -65283, -65279, -65274, -65270, -65265, -65260,
      -65256, -65251, -65246, -65242, -65237, -65232, -65227, -65222,
      -65217, -65212, -65207, -65202, -65197, -65192, -65187, -65182,
      -65177, -65171, -65166, -65161, -65155, -65150, -65144, -65139,
      -65133, -65128, -65122, -65117, -65111, -65105, -65099, -65094,
      -65088, -65082, -65076, -65070, -65064, -65058, -65052, -65046,
      -65040, -65033, -65027, -65021, -65015, -65008, -65002, -64995,
      -64989, -64982, -64976, -64969, -64963, -64956, -64949, -64943,
      -64936, -64929, -64922, -64915, -64908, -64902, -64895, -64887,
      -64880, -64873, -64866, -64859, -64852, -64844, -64837, -64830,
      -64822, -64815, -64808, -64800, -64793, -64785, -64777, -64770,
      -64762, -64754, -64747, -64739, -64731, -64723, -64715, -64707,
      -64699, -64691, -64683, -64675, -64667, -64659, -64651, -64642,
      -64634, -64626, -64617, -64609, -64601, -64592, -64584, -64575,
      -64566, -64558, -64549, -64540, -64532, -64523, -64514, -64505,
      -64496, -64487, -64478, -64469, -64460, -64451, -64442, -64433,
      -64424, -64414, -64405, -64396, -64387, -64377, -64368, -64358,
      -64349, -64339, -64330, -64320, -64310, -64301, -64291, -64281,
      -64271, -64261, -64252, -64242, -64232, -64222, -64212, -64202,
      -64192, -64181, -64171, -64161, -64151, -64140, -64130, -64120,
      -64109, -64099, -64088, -64078, -64067, -64057, -64046, -64035,
      -64025, -64014, -64003, -63992, -63981, -63971, -63960, -63949,
      -63938, -63927, -63915, -63904, -63893, -63882, -63871, -63859,
      -63848, -63837, -63825, -63814, -63803, -63791, -63779, -63768,
      -63756, -63745, -63733, -63721, -63709, -63698, -63686, -63674,
      -63662, -63650, -63638, -63626, -63614, -63602, -63590, -63578,
      -63565, -63553, -63541, -63528, -63516, -63504, -63491, -63479,
      -63466, -63454, -63441, -63429, -63416, -63403, -63390, -63378,
      -63365, -63352, -63339, -63326, -63313, -63300, -63287, -63274,
      -63261, -63248, -63235, -63221, -63208, -63195, -63182, -63168,
      -63155, -63141, -63128, -63114, -63101, -63087, -63074, -63060,
      -63046, -63032, -63019, -63005, -62991, -62977, -62963, -62949,
      -62935, -62921, -62907, -62893, -62879, -62865, -62850, -62836,
      -62822, -62808, -62793, -62779, -62764, -62750, -62735, -62721,
      -62706, -62692, -62677, -62662, -62648, -62633, -62618, -62603,
      -62588, -62573, -62558, -62543, -62528, -62513, -62498, -62483,
      -62468, -62453, -62437, -62422, -62407, -62391, -62376, -62360,
      -62345, -62329, -62314, -62298, -62283, -62267, -62251, -62236,
      -62220, -62204, -62188, -62172, -62156, -62141, -62125, -62108,
      -62092, -62076, -62060, -62044, -62028, -62012, -61995, -61979,
      -61963, -61946, -61930, -61913, -61897, -61880, -61864, -61847,
      -61831, -61814, -61797, -61780, -61764, -61747, -61730, -61713,
      -61696, -61679, -61662, -61645, -61628, -61611, -61594, -61577,
      -61559, -61542, -61525, -61507, -61490, -61473, -61455, -61438,
      -61420, -61403, -61385, -61367, -61350, -61332, -61314, -61297,
      -61279, -61261, -61243, -61225, -61207, -61189, -61171, -61153,
      -61135, -61117, -61099, -61081, -61062, -61044, -61026, -61007,
      -60989, -60971, -60952, -60934, -60915, -60897, -60878, -60859,
      -60841, -60822, -60803, -60785, -60766, -60747, -60728, -60709,
      -60690, -60671, -60652, -60633, -60614, -60595, -60576, -60556,
      -60537, -60518, -60499, -60479, -60460, -60441, -60421, -60402,
      -60382, -60363, -60343, -60323, -60304, -60284, -60264, -60244,
      -60225, -60205, -60185, -60165, -60145, -60125, -60105, -60085,
      -60065, -60045, -60025, -60004, -59984, -59964, -59944, -59923,
      -59903, -59883, -59862, -59842, -59821, -59801, -59780, -59759,
      -59739, -59718, -59697, -59677, -59656, -59635, -59614, -59593,
      -59572, -59551, -59530, -59509, -59488, -59467, -59446, -59425,
      -59404, -59382, -59361, -59340, -59318, -59297, -59276, -59254,
      -59233, -59211, -59189, -59168, -59146, -59125, -59103, -59081,
      -59059, -59038, -59016, -58994, -58972, -58950, -58928, -58906,
      -58884, -58862, -58840, -58818, -58795, -58773, -58751, -58729,
      -58706, -58684, -58662, -58639, -58617, -58594, -58572, -58549,
      -58527, -58504, -58481, -58459, -58436, -58413, -58390, -58367,
      -58345, -58322, -58299, -58276, -58253, -58230, -58207, -58183,
      -58160, -58137, -58114, -58091, -58067, -58044, -58021, -57997,
      -57974, -57950, -57927, -57903, -57880, -57856, -57833, -57809,
      -57785, -57762, -57738, -57714, -57690, -57666, -57642, -57618,
      -57594, -57570, -57546, -57522, -57498, -57474, -57450, -57426,
      -57402, -57377, -57353, -57329, -57304, -57280, -57255, -57231,
      -57206, -57182, -57157, -57133, -57108, -57083, -57059, -57034,
      -57009, -56984, -56959, -56935, -56910, -56885, -56860, -56835,
      -56810, -56785, -56760, -56734, -56709, -56684, -56659, -56633,
      -56608, -56583, -56557, -56532, -56507, -56481, -56456, -56430,
      -56404, -56379, -56353, -56328, -56302, -56276, -56250, -56225,
      -56199, -56173, -56147, -56121, -56095, -56069, -56043, -56017,
      -55991, -55965, -55938, -55912, -55886, -55860, -55833, -55807,
      -55781, -55754, -55728, -55701, -55675, -55648, -55622, -55595,
      -55569, -55542, -55515, -55489, -55462, -55435, -55408, -55381,
      -55354, -55327, -55300, -55274, -55246, -55219, -55192, -55165,
      -55138, -55111, -55084, -55056, -55029, -55002, -54974, -54947,
      -54920, -54892, -54865, -54837, -54810, -54782, -54755, -54727,
      -54699, -54672, -54644, -54616, -54588, -54560, -54533, -54505,
      -54477, -54449, -54421, -54393, -54365, -54337, -54308, -54280,
      -54252, -54224, -54196, -54167, -54139, -54111, -54082, -54054,
      -54026, -53997, -53969, -53940, -53911, -53883, -53854, -53826,
      -53797, -53768, -53739, -53711, -53682, -53653, -53624, -53595,
      -53566, -53537, -53508, -53479, -53450, -53421, -53392, -53363,
      -53334, -53304, -53275, -53246, -53216, -53187, -53158, -53128,
      -53099, -53069, -53040, -53010, -52981, -52951, -52922, -52892,
      -52862, -52832, -52803, -52773, -52743, -52713, -52683, -52653,
      -52624, -52594, -52564, -52534, -52503, -52473, -52443, -52413,
      -52383, -52353, -52322, -52292, -52262, -52231, -52201, -52171,
      -52140, -52110, -52079, -52049, -52018, -51988, -51957, -51926,
      -51896, -51865, -51834, -51803, -51773, -51742, -51711, -51680,
      -51649, -51618, -51587, -51556, -51525, -51494, -51463, -51432,
      -51401, -51369, -51338, -51307, -51276, -51244, -51213, -51182,
      -51150, -51119, -51087, -51056, -51024, -50993, -50961, -50929,
      -50898, -50866, -50834, -50803, -50771, -50739, -50707, -50675,
      -50644, -50612, -50580, -50548, -50516, -50484, -50452, -50420,
      -50387, -50355, -50323, -50291, -50259, -50226, -50194, -50162,
      -50129, -50097, -50065, -50032, -50000, -49967, -49935, -49902,
      -49869, -49837, -49804, -49771, -49739, -49706, -49673, -49640,
      -49608, -49575, -49542, -49509, -49476, -49443, -49410, -49377,
      -49344, -49311, -49278, -49244, -49211, -49178, -49145, -49112,
      -49078, -49045, -49012, -48978, -48945, -48911, -48878, -48844,
      -48811, -48777, -48744, -48710, -48676, -48643, -48609, -48575,
      -48542, -48508, -48474, -48440, -48406, -48372, -48338, -48305,
      -48271, -48237, -48202, -48168, -48134, -48100, -48066, -48032,
      -47998, -47963, -47929, -47895, -47860, -47826, -47792, -47757,
      -47723, -47688, -47654, -47619, -47585, -47550, -47516, -47481,
      -47446, -47412, -47377, -47342, -47307, -47273, -47238, -47203,
      -47168, -47133, -47098, -47063, -47028, -46993, -46958, -46923,
      -46888, -46853, -46818, -46783, -46747, -46712, -46677, -46642,
      -46606, -46571, -46536, -46500, -46465, -46429, -46394, -46358,
      -46323, -46287, -46251, -46216, -46180, -46145, -46109, -46073,
      -46037, -46002, -45966, -45930, -45894, -45858, -45822, -45786,
      -45750, -45714, -45678, -45642, -45606, -45570, -45534, -45498,
      -45462, -45425, -45389, -45353, -45316, -45280, -45244, -45207,
      -45171, -45135, -45098, -45062, -45025, -44989, -44952, -44915,
      -44879, -44842, -44806, -44769, -44732, -44695, -44659, -44622,
      -44585, -44548, -44511, -44474, -44437, -44400, -44363, -44326,
      -44289, -44252, -44215, -44178, -44141, -44104, -44067, -44029,
      -43992, -43955, -43918, -43880, -43843, -43806, -43768, -43731,
      -43693, -43656, -43618, -43581, -43543, -43506, -43468, -43430,
      -43393, -43355, -43317, -43280, -43242, -43204, -43166, -43128,
      -43091, -43053, -43015, -42977, -42939, -42901, -42863, -42825,
      -42787, -42749, -42711, -42672, -42634, -42596, -42558, -42520,
      -42481, -42443, -42405, -42366, -42328, -42290, -42251, -42213,
      -42174, -42136, -42097, -42059, -42020, -41982, -41943, -41904,
      -41866, -41827, -41788, -41750, -41711, -41672, -41633, -41595,
      -41556, -41517, -41478, -41439, -41400, -41361, -41322, -41283,
      -41244, -41205, -41166, -41127, -41087, -41048, -41009, -40970,
      -40931, -40891, -40852, -40813, -40773, -40734, -40695, -40655,
      -40616, -40576, -40537, -40497, -40458, -40418, -40379, -40339,
      -40299, -40260, -40220, -40180, -40141, -40101, -40061, -40021,
      -39982, -39942, -39902, -39862, -39822, -39782, -39742, -39702,
      -39662, -39622, -39582, -39542, -39502, -39462, -39422, -39382,
      -39341, -39301, -39261, -39221, -39180, -39140, -39100, -39059,
      -39019, -38979, -38938, -38898, -38857, -38817, -38776, -38736,
      -38695, -38655, -38614, -38573, -38533, -38492, -38451, -38411,
      -38370, -38329, -38288, -38248, -38207, -38166, -38125, -38084,
      -38043, -38002, -37961, -37920, -37879, -37838, -37797, -37756,
      -37715, -37674, -37633, -37592, -37550, -37509, -37468, -37427,
      -37386, -37344, -37303, -37262, -37220, -37179, -37137, -37096,
      -37055, -37013, -36972, -36930, -36889, -36847, -36805, -36764,
      -36722, -36681, -36639, -36597, -36556, -36514, -36472, -36430,
      -36388, -36347, -36305, -36263, -36221, -36179, -36137, -36095,
      -36053, -36011, -35969, -35927, -35885, -35843, -35801, -35759,
      -35717, -35675, -35633, -35590, -35548, -35506, -35464, -35421,
      -35379, -35337, -35294, -35252, -35210, -35167, -35125, -35082,
      -35040, -34997, -34955, -34912, -34870, -34827, -34785, -34742,
      -34699, -34657, -34614, -34571, -34529, -34486, -34443, -34400,
      -34358, -34315, -34272, -34229, -34186, -34143, -34100, -34057,
      -34015, -33972, -33929, -33886, -33843, -33799, -33756, -33713,
      -33670, -33627, -33584, -33541, -33498, -33454, -33411, -33368,
      -33325, -33281, -33238, -33195, -33151, -33108, -33065, -33021,
      -32978, -32934, -32891, -32847, -32804, -32760, -32717, -32673,
      -32630, -32586, -32542, -32499, -32455, -32411, -32368, -32324,
      -32280, -32236, -32193, -32149, -32105, -32061, -32017, -31974,
      -31930, -31886, -31842, -31798, -31754, -31710, -31666, -31622,
      -31578, -31534, -31490, -31446, -31402, -31357, -31313, -31269,
      -31225, -31181, -31136, -31092, -31048, -31004, -30959, -30915,
      -30871, -30826, -30782, -30738, -30693, -30649, -30604, -30560,
      -30515, -30471, -30426, -30382, -30337, -30293, -30248, -30204,
      -30159, -30114, -30070, -30025, -29980, -29936, -29891, -29846,
      -29801, -29757, -29712, -29667, -29622, -29577, -29533, -29488,
      -29443, -29398, -29353, -29308, -29263, -29218, -29173, -29128,
      -29083, -29038, -28993, -28948, -28903, -28858, -28812, -28767,
      -28722, -28677, -28632, -28586, -28541, -28496, -28451, -28405,
      -28360, -28315, -28269, -28224, -28179, -28133, -28088, -28042,
      -27997, -27952, -27906, -27861, -27815, -27770, -27724, -27678,
      -27633, -27587, -27542, -27496, -27450, -27405, -27359, -27313,
      -27268, -27222, -27176, -27131, -27085, -27039, -26993, -26947,
      -26902, -26856, -26810, -26764, -26718, -26672, -26626, -26580,
      -26534, -26488, -26442, -26396, -26350, -26304, -26258, -26212,
      -26166, -26120, -26074, -26028, -25982, -25936, -25889, -25843,
      -25797, -25751, -25705, -25658, -25612, -25566, -25520, -25473,
      -25427, -25381, -25334, -25288, -25241, -25195, -25149, -25102,
      -25056, -25009, -24963, -24916, -24870, -24823, -24777, -24730,
      -24684, -24637, -24591, -24544, -24497, -24451, -24404, -24357,
      -24311, -24264, -24217, -24171, -24124, -24077, -24030, -23984,
      -23937, -23890, -23843, -23796, -23750, -23703, -23656, -23609,
      -23562, -23515, -23468, -23421, -23374, -23327, -23280, -23233,
      -23186, -23139, -23092, -23045, -22998, -22951, -22904, -22857,
      -22810, -22763, -22716, -22668, -22621, -22574, -22527, -22480,
      -22432, -22385, -22338, -22291, -22243, -22196, -22149, -22102,
      -22054, -22007, -21960, -21912, -21865, -21817, -21770, -21723,
      -21675, -21628, -21580, -21533, -21485, -21438, -21390, -21343,
      -21295, -21248, -21200, -21153, -21105, -21057, -21010, -20962,
      -20915, -20867, -20819, -20772, -20724, -20676, -20629, -20581,
      -20533, -20485, -20438, -20390, -20342, -20294, -20246, -20199,
      -20151, -20103, -20055, -20007, -19959, -19912, -19864, -19816,
      -19768, -19720, -19672, -19624, -19576, -19528, -19480, -19432,
      -19384, -19336, -19288, -19240, -19192, -19144, -19096, -19048,
      -19000, -18951, -18903, -18855, -18807, -18759, -18711, -18663,
      -18614, -18566, -18518, -18470, -18421, -18373, -18325, -18277,
      -18228, -18180, -18132, -18084, -18035, -17987, -17939, -17890,
      -17842, -17793, -17745, -17697, -17648, -17600, -17551, -17503,
      -17455, -17406, -17358, -17309, -17261, -17212, -17164, -17115,
      -17067, -17018, -16970, -16921, -16872, -16824, -16775, -16727,
      -16678, -16629, -16581, -16532, -16484, -16435, -16386, -16338,
      -16289, -16240, -16191, -16143, -16094, -16045, -15997, -15948,
      -15899, -15850, -15802, -15753, -15704, -15655, -15606, -15557,
      -15509, -15460, -15411, -15362, -15313, -15264, -15215, -15167,
      -15118, -15069, -15020, -14971, -14922, -14873, -14824, -14775,
      -14726, -14677, -14628, -14579, -14530, -14481, -14432, -14383,
      -14334, -14285, -14236, -14187, -14138, -14089, -14040, -13990,
      -13941, -13892, -13843, -13794, -13745, -13696, -13647, -13597,
      -13548, -13499, -13450, -13401, -13351, -13302, -13253, -13204,
      -13154, -13105, -13056, -13007, -12957, -12908, -12859, -12810,
      -12760, -12711, -12662, -12612, -12563, -12514, -12464, -12415,
      -12366, -12316, -12267, -12217, -12168, -12119, -12069, -12020,
      -11970, -11921, -11872, -11822, -11773, -11723, -11674, -11624,
      -11575, -11525, -11476, -11426, -11377, -11327, -11278, -11228,
      -11179, -11129, -11080, -11030, -10981, -10931, -10882, -10832,
      -10782, -10733, -10683, -10634, -10584, -10534, -10485, -10435,
      -10386, -10336, -10286, -10237, -10187, -10137, -10088, -10038,
      -9988, -9939, -9889, -9839, -9790, -9740, -9690, -9640,
      -9591, -9541, -9491, -9442, -9392, -9342, -9292, -9243,
      -9193, -9143, -9093, -9043, -8994, -8944, -8894, -8844,
      -8794, -8745, -8695, -8645, -8595, -8545, -8496, -8446,
      -8396, -8346, -8296, -8246, -8196, -8147, -8097, -8047,
      -7997, -7947, -7897, -7847, -7797, -7747, -7697, -7648,
      -7598, -7548, -7498, -7448, -7398, -7348, -7298, -7248,
      -7198, -7148, -7098, -7048, -6998, -6948, -6898, -6848,
      -6798, -6748, -6698, -6648, -6598, -6548, -6498, -6448,
      -6398, -6348, -6298, -6248, -6198, -6148, -6098, -6048,
      -5998, -5948, -5898, -5848, -5798, -5747, -5697, -5647,
      -5597, -5547, -5497, -5447, -5397, -5347, -5297, -5247,
      -5197, -5146, -5096, -5046, -4996, -4946, -4896, -4846,
      -4796, -4745, -4695, -4645, -4595, -4545, -4495, -4445,
      -4394, -4344, -4294, -4244, -4194, -4144, -4093, -4043,
      -3993, -3943, -3893, -3843, -3792, -3742, -3692, -3642,
      -3592, -3541, -3491, -3441, -3391, -3341, -3291, -3240,
      -3190, -3140, -3090, -3039, -2989, -2939, -2889, -2839,
      -2788, -2738, -2688, -2638, -2588, -2537, -2487, -2437,
      -2387, -2336, -2286, -2236, -2186, -2135, -2085, -2035,
      -1985, -1934, -1884, -1834, -1784, -1733, -1683, -1633,
      -1583, -1532, -1482, -1432, -1382, -1331, -1281, -1231,
      -1181, -1130, -1080, -1030, -980, -929, -879, -829,
      -779, -728, -678, -628, -578, -527, -477, -427,
      -376, -326, -276, -226, -175, -125, -75, -25,
      25, 75, 125, 175, 226, 276, 326, 376,
      427, 477, 527, 578, 628, 678, 728, 779,
      829, 879, 929, 980, 1030, 1080, 1130, 1181,
      1231, 1281, 1331, 1382, 1432, 1482, 1532, 1583,
      1633, 1683, 1733, 1784, 1834, 1884, 1934, 1985,
      2035, 2085, 2135, 2186, 2236, 2286, 2336, 2387,
      2437, 2487, 2537, 2587, 2638, 2688, 2738, 2788,
      2839, 2889, 2939, 2989, 3039, 3090, 3140, 3190,
      3240, 3291, 3341, 3391, 3441, 3491, 3542, 3592,
      3642, 3692, 3742, 3792, 3843, 3893, 3943, 3993,
      4043, 4093, 4144, 4194, 4244, 4294, 4344, 4394,
      4445, 4495, 4545, 4595, 4645, 4695, 4745, 4796,
      4846, 4896, 4946, 4996, 5046, 5096, 5146, 5197,
      5247, 5297, 5347, 5397, 5447, 5497, 5547, 5597,
      5647, 5697, 5747, 5798, 5848, 5898, 5948, 5998,
      6048, 6098, 6148, 6198, 6248, 6298, 6348, 6398,
      6448, 6498, 6548, 6598, 6648, 6698, 6748, 6798,
      6848, 6898, 6948, 6998, 7048, 7098, 7148, 7198,
      7248, 7298, 7348, 7398, 7448, 7498, 7548, 7598,
      7648, 7697, 7747, 7797, 7847, 7897, 7947, 7997,
      8047, 8097, 8147, 8196, 8246, 8296, 8346, 8396,
      8446, 8496, 8545, 8595, 8645, 8695, 8745, 8794,
      8844, 8894, 8944, 8994, 9043, 9093, 9143, 9193,
      9243, 9292, 9342, 9392, 9442, 9491, 9541, 9591,
      9640, 9690, 9740, 9790, 9839, 9889, 9939, 9988,
      10038, 10088, 10137, 10187, 10237, 10286, 10336, 10386,
      10435, 10485, 10534, 10584, 10634, 10683, 10733, 10782,
      10832, 10882, 10931, 10981, 11030, 11080, 11129, 11179,
      11228, 11278, 11327, 11377, 11426, 11476, 11525, 11575,
      11624, 11674, 11723, 11773, 11822, 11872, 11921, 11970,
      12020, 12069, 12119, 12168, 12218, 12267, 12316, 12366,
      12415, 12464, 12514, 12563, 12612, 12662, 12711, 12760,
      12810, 12859, 12908, 12957, 13007, 13056, 13105, 13154,
      13204, 13253, 13302, 13351, 13401, 13450, 13499, 13548,
      13597, 13647, 13696, 13745, 13794, 13843, 13892, 13941,
      13990, 14040, 14089, 14138, 14187, 14236, 14285, 14334,
      14383, 14432, 14481, 14530, 14579, 14628, 14677, 14726,
      14775, 14824, 14873, 14922, 14971, 15020, 15069, 15118,
      15167, 15215, 15264, 15313, 15362, 15411, 15460, 15509,
      15557, 15606, 15655, 15704, 15753, 15802, 15850, 15899,
      15948, 15997, 16045, 16094, 16143, 16191, 16240, 16289,
      16338, 16386, 16435, 16484, 16532, 16581, 16629, 16678,
      16727, 16775, 16824, 16872, 16921, 16970, 17018, 17067,
      17115, 17164, 17212, 17261, 17309, 17358, 17406, 17455,
      17503, 17551, 17600, 17648, 17697, 17745, 17793, 17842,
      17890, 17939, 17987, 18035, 18084, 18132, 18180, 18228,
      18277, 18325, 18373, 18421, 18470, 18518, 18566, 18614,
      18663, 18711, 18759, 18807, 18855, 18903, 18951, 19000,
      19048, 19096, 19144, 19192, 19240, 19288, 19336, 19384,
      19432, 19480, 19528, 19576, 19624, 19672, 19720, 19768,
      19816, 19864, 19912, 19959, 20007, 20055, 20103, 20151,
      20199, 20246, 20294, 20342, 20390, 20438, 20485, 20533,
      20581, 20629, 20676, 20724, 20772, 20819, 20867, 20915,
      20962, 21010, 21057, 21105, 21153, 21200, 21248, 21295,
      21343, 21390, 21438, 21485, 21533, 21580, 21628, 21675,
      21723, 21770, 21817, 21865, 21912, 21960, 22007, 22054,
      22102, 22149, 22196, 22243, 22291, 22338, 22385, 22432,
      22480, 22527, 22574, 22621, 22668, 22716, 22763, 22810,
      22857, 22904, 22951, 22998, 23045, 23092, 23139, 23186,
      23233, 23280, 23327, 23374, 23421, 23468, 23515, 23562,
      23609, 23656, 23703, 23750, 23796, 23843, 23890, 23937,
      23984, 24030, 24077, 24124, 24171, 24217, 24264, 24311,
      24357, 24404, 24451, 24497, 24544, 24591, 24637, 24684,
      24730, 24777, 24823, 24870, 24916, 24963, 25009, 25056,
      25102, 25149, 25195, 25241, 25288, 25334, 25381, 25427,
      25473, 25520, 25566, 25612, 25658, 25705, 25751, 25797,
      25843, 25889, 25936, 25982, 26028, 26074, 26120, 26166,
      26212, 26258, 26304, 26350, 26396, 26442, 26488, 26534,
      26580, 26626, 26672, 26718, 26764, 26810, 26856, 26902,
      26947, 26993, 27039, 27085, 27131, 27176, 27222, 27268,
      27313, 27359, 27405, 27450, 27496, 27542, 27587, 27633,
      27678, 27724, 27770, 27815, 27861, 27906, 27952, 27997,
      28042, 28088, 28133, 28179, 28224, 28269, 28315, 28360,
      28405, 28451, 28496, 28541, 28586, 28632, 28677, 28722,
      28767, 28812, 28858, 28903, 28948, 28993, 29038, 29083,
      29128, 29173, 29218, 29263, 29308, 29353, 29398, 29443,
      29488, 29533, 29577, 29622, 29667, 29712, 29757, 29801,
      29846, 29891, 29936, 29980, 30025, 30070, 30114, 30159,
      30204, 30248, 30293, 30337, 30382, 30427, 30471, 30516,
      30560, 30604, 30649, 30693, 30738, 30782, 30826, 30871,
      30915, 30959, 31004, 31048, 31092, 31136, 31181, 31225,
      31269, 31313, 31357, 31402, 31446, 31490, 31534, 31578,
      31622, 31666, 31710, 31754, 31798, 31842, 31886, 31930,
      31974, 32017, 32061, 32105, 32149, 32193, 32236, 32280,
      32324, 32368, 32411, 32455, 32499, 32542, 32586, 32630,
      32673, 32717, 32760, 32804, 32847, 32891, 32934, 32978,
      33021, 33065, 33108, 33151, 33195, 33238, 33281, 33325,
      33368, 33411, 33454, 33498, 33541, 33584, 33627, 33670,
      33713, 33756, 33799, 33843, 33886, 33929, 33972, 34015,
      34057, 34100, 34143, 34186, 34229, 34272, 34315, 34358,
      34400, 34443, 34486, 34529, 34571, 34614, 34657, 34699,
      34742, 34785, 34827, 34870, 34912, 34955, 34997, 35040,
      35082, 35125, 35167, 35210, 35252, 35294, 35337, 35379,
      35421, 35464, 35506, 35548, 35590, 35633, 35675, 35717,
      35759, 35801, 35843, 35885, 35927, 35969, 36011, 36053,
      36095, 36137, 36179, 36221, 36263, 36305, 36347, 36388,
      36430, 36472, 36514, 36556, 36597, 36639, 36681, 36722,
      36764, 36805, 36847, 36889, 36930, 36972, 37013, 37055,
      37096, 37137, 37179, 37220, 37262, 37303, 37344, 37386,
      37427, 37468, 37509, 37551, 37592, 37633, 37674, 37715,
      37756, 37797, 37838, 37879, 37920, 37961, 38002, 38043,
      38084, 38125, 38166, 38207, 38248, 38288, 38329, 38370,
      38411, 38451, 38492, 38533, 38573, 38614, 38655, 38695,
      38736, 38776, 38817, 38857, 38898, 38938, 38979, 39019,
      39059, 39100, 39140, 39180, 39221, 39261, 39301, 39341,
      39382, 39422, 39462, 39502, 39542, 39582, 39622, 39662,
      39702, 39742, 39782, 39822, 39862, 39902, 39942, 39982,
      40021, 40061, 40101, 40141, 40180, 40220, 40260, 40299,
      40339, 40379, 40418, 40458, 40497, 40537, 40576, 40616,
      40655, 40695, 40734, 40773, 40813, 40852, 40891, 40931,
      40970, 41009, 41048, 41087, 41127, 41166, 41205, 41244,
      41283, 41322, 41361, 41400, 41439, 41478, 41517, 41556,
      41595, 41633, 41672, 41711, 41750, 41788, 41827, 41866,
      41904, 41943, 41982, 42020, 42059, 42097, 42136, 42174,
      42213, 42251, 42290, 42328, 42366, 42405, 42443, 42481,
      42520, 42558, 42596, 42634, 42672, 42711, 42749, 42787,
      42825, 42863, 42901, 42939, 42977, 43015, 43053, 43091,
      43128, 43166, 43204, 43242, 43280, 43317, 43355, 43393,
      43430, 43468, 43506, 43543, 43581, 43618, 43656, 43693,
      43731, 43768, 43806, 43843, 43880, 43918, 43955, 43992,
      44029, 44067, 44104, 44141, 44178, 44215, 44252, 44289,
      44326, 44363, 44400, 44437, 44474, 44511, 44548, 44585,
      44622, 44659, 44695, 44732, 44769, 44806, 44842, 44879,
      44915, 44952, 44989, 45025, 45062, 45098, 45135, 45171,
      45207, 45244, 45280, 45316, 45353, 45389, 45425, 45462,
      45498, 45534, 45570, 45606, 45642, 45678, 45714, 45750,
      45786, 45822, 45858, 45894, 45930, 45966, 46002, 46037,
      46073, 46109, 46145, 46180, 46216, 46252, 46287, 46323,
      46358, 46394, 46429, 46465, 46500, 46536, 46571, 46606,
      46642, 46677, 46712, 46747, 46783, 46818, 46853, 46888,
      46923, 46958, 46993, 47028, 47063, 47098, 47133, 47168,
      47203, 47238, 47273, 47308, 47342, 47377, 47412, 47446,
      47481, 47516, 47550, 47585, 47619, 47654, 47688, 47723,
      47757, 47792, 47826, 47861, 47895, 47929, 47963, 47998,
      48032, 48066, 48100, 48134, 48168, 48202, 48237, 48271,
      48305, 48338, 48372, 48406, 48440, 48474, 48508, 48542,
      48575, 48609, 48643, 48676, 48710, 48744, 48777, 48811,
      48844, 48878, 48911, 48945, 48978, 49012, 49045, 49078,
      49112, 49145, 49178, 49211, 49244, 49278, 49311, 49344,
      49377, 49410, 49443, 49476, 49509, 49542, 49575, 49608,
      49640, 49673, 49706, 49739, 49771, 49804, 49837, 49869,
      49902, 49935, 49967, 50000, 50032, 50064, 50097, 50129,
      50162, 50194, 50226, 50259, 50291, 50323, 50355, 50387,
      50420, 50452, 50484, 50516, 50548, 50580, 50612, 50644,
      50675, 50707, 50739, 50771, 50803, 50834, 50866, 50898,
      50929, 50961, 50993, 51024, 51056, 51087, 51119, 51150,
      51182, 51213, 51244, 51276, 51307, 51338, 51369, 51401,
      51432, 51463, 51494, 51525, 51556, 51587, 51618, 51649,
      51680, 51711, 51742, 51773, 51803, 51834, 51865, 51896,
      51926, 51957, 51988, 52018, 52049, 52079, 52110, 52140,
      52171, 52201, 52231, 52262, 52292, 52322, 52353, 52383,
      52413, 52443, 52473, 52503, 52534, 52564, 52594, 52624,
      52653, 52683, 52713, 52743, 52773, 52803, 52832, 52862,
      52892, 52922, 52951, 52981, 53010, 53040, 53069, 53099,
      53128, 53158, 53187, 53216, 53246, 53275, 53304, 53334,
      53363, 53392, 53421, 53450, 53479, 53508, 53537, 53566,
      53595, 53624, 53653, 53682, 53711, 53739, 53768, 53797,
      53826, 53854, 53883, 53912, 53940, 53969, 53997, 54026,
      54054, 54082, 54111, 54139, 54167, 54196, 54224, 54252,
      54280, 54309, 54337, 54365, 54393, 54421, 54449, 54477,
      54505, 54533, 54560, 54588, 54616, 54644, 54672, 54699,
      54727, 54755, 54782, 54810, 54837, 54865, 54892, 54920,
      54947, 54974, 55002, 55029, 55056, 55084, 55111, 55138,
      55165, 55192, 55219, 55246, 55274, 55300, 55327, 55354,
      55381, 55408, 55435, 55462, 55489, 55515, 55542, 55569,
      55595, 55622, 55648, 55675, 55701, 55728, 55754, 55781,
      55807, 55833, 55860, 55886, 55912, 55938, 55965, 55991,
      56017, 56043, 56069, 56095, 56121, 56147, 56173, 56199,
      56225, 56250, 56276, 56302, 56328, 56353, 56379, 56404,
      56430, 56456, 56481, 56507, 56532, 56557, 56583, 56608,
      56633, 56659, 56684, 56709, 56734, 56760, 56785, 56810,
      56835, 56860, 56885, 56910, 56935, 56959, 56984, 57009,
      57034, 57059, 57083, 57108, 57133, 57157, 57182, 57206,
      57231, 57255, 57280, 57304, 57329, 57353, 57377, 57402,
      57426, 57450, 57474, 57498, 57522, 57546, 57570, 57594,
      57618, 57642, 57666, 57690, 57714, 57738, 57762, 57785,
      57809, 57833, 57856, 57880, 57903, 57927, 57950, 57974,
      57997, 58021, 58044, 58067, 58091, 58114, 58137, 58160,
      58183, 58207, 58230, 58253, 58276, 58299, 58322, 58345,
      58367, 58390, 58413, 58436, 58459, 58481, 58504, 58527,
      58549, 58572, 58594, 58617, 58639, 58662, 58684, 58706,
      58729, 58751, 58773, 58795, 58818, 58840, 58862, 58884,
      58906, 58928, 58950, 58972, 58994, 59016, 59038, 59059,
      59081, 59103, 59125, 59146, 59168, 59190, 59211, 59233,
      59254, 59276, 59297, 59318, 59340, 59361, 59382, 59404,
      59425, 59446, 59467, 59488, 59509, 59530, 59551, 59572,
      59593, 59614, 59635, 59656, 59677, 59697, 59718, 59739,
      59759, 59780, 59801, 59821, 59842, 59862, 59883, 59903,
      59923, 59944, 59964, 59984, 60004, 60025, 60045, 60065,
      60085, 60105, 60125, 60145, 60165, 60185, 60205, 60225,
      60244, 60264, 60284, 60304, 60323, 60343, 60363, 60382,
      60402, 60421, 60441, 60460, 60479, 60499, 60518, 60537,
      60556, 60576, 60595, 60614, 60633, 60652, 60671, 60690,
      60709, 60728, 60747, 60766, 60785, 60803, 60822, 60841,
      60859, 60878, 60897, 60915, 60934, 60952, 60971, 60989,
      61007, 61026, 61044, 61062, 61081, 61099, 61117, 61135,
      61153, 61171, 61189, 61207, 61225, 61243, 61261, 61279,
      61297, 61314, 61332, 61350, 61367, 61385, 61403, 61420,
      61438, 61455, 61473, 61490, 61507, 61525, 61542, 61559,
      61577, 61594, 61611, 61628, 61645, 61662, 61679, 61696,
      61713, 61730, 61747, 61764, 61780, 61797, 61814, 61831,
      61847, 61864, 61880, 61897, 61913, 61930, 61946, 61963,
      61979, 61995, 62012, 62028, 62044, 62060, 62076, 62092,
      62108, 62125, 62141, 62156, 62172, 62188, 62204, 62220,
      62236, 62251, 62267, 62283, 62298, 62314, 62329, 62345,
      62360, 62376, 62391, 62407, 62422, 62437, 62453, 62468,
      62483, 62498, 62513, 62528, 62543, 62558, 62573, 62588,
      62603, 62618, 62633, 62648, 62662, 62677, 62692, 62706,
      62721, 62735, 62750, 62764, 62779, 62793, 62808, 62822,
      62836, 62850, 62865, 62879, 62893, 62907, 62921, 62935,
      62949, 62963, 62977, 62991, 63005, 63019, 63032, 63046,
      63060, 63074, 63087, 63101, 63114, 63128, 63141, 63155,
      63168, 63182, 63195, 63208, 63221, 63235, 63248, 63261,
      63274, 63287, 63300, 63313, 63326, 63339, 63352, 63365,
      63378, 63390, 63403, 63416, 63429, 63441, 63454, 63466,
      63479, 63491, 63504, 63516, 63528, 63541, 63553, 63565,
      63578, 63590, 63602, 63614, 63626, 63638, 63650, 63662,
      63674, 63686, 63698, 63709, 63721, 63733, 63745, 63756,
      63768, 63779, 63791, 63803, 63814, 63825, 63837, 63848,
      63859, 63871, 63882, 63893, 63904, 63915, 63927, 63938,
      63949, 63960, 63971, 63981, 63992, 64003, 64014, 64025,
      64035, 64046, 64057, 64067, 64078, 64088, 64099, 64109,
      64120, 64130, 64140, 64151, 64161, 64171, 64181, 64192,
      64202, 64212, 64222, 64232, 64242, 64252, 64261, 64271,
      64281, 64291, 64301, 64310, 64320, 64330, 64339, 64349,
      64358, 64368, 64377, 64387, 64396, 64405, 64414, 64424,
      64433, 64442, 64451, 64460, 64469, 64478, 64487, 64496,
      64505, 64514, 64523, 64532, 64540, 64549, 64558, 64566,
      64575, 64584, 64592, 64600, 64609, 64617, 64626, 64634,
      64642, 64651, 64659, 64667, 64675, 64683, 64691, 64699,
      64707, 64715, 64723, 64731, 64739, 64747, 64754, 64762,
      64770, 64777, 64785, 64793, 64800, 64808, 64815, 64822,
      64830, 64837, 64844, 64852, 64859, 64866, 64873, 64880,
      64887, 64895, 64902, 64908, 64915, 64922, 64929, 64936,
      64943, 64949, 64956, 64963, 64969, 64976, 64982, 64989,
      64995, 65002, 65008, 65015, 65021, 65027, 65033, 65040,
      65046, 65052, 65058, 65064, 65070, 65076, 65082, 65088,
      65094, 65099, 65105, 65111, 65117, 65122, 65128, 65133,
      65139, 65144, 65150, 65155, 65161, 65166, 65171, 65177,
      65182, 65187, 65192, 65197, 65202, 65207, 65212, 65217,
      65222, 65227, 65232, 65237, 65242, 65246, 65251, 65256,
      65260, 65265, 65270, 65274, 65279, 65283, 65287, 65292,
      65296, 65300, 65305, 65309, 65313, 65317, 65321, 65325,
      65329, 65333, 65337, 65341, 65345, 65349, 65352, 65356,
      65360, 65363, 65367, 65371, 65374, 65378, 65381, 65385,
      65388, 65391, 65395, 65398, 65401, 65404, 65408, 65411,
      65414, 65417, 65420, 65423, 65426, 65429, 65431, 65434,
      65437, 65440, 65442, 65445, 65448, 65450, 65453, 65455,
      65458, 65460, 65463, 65465, 65467, 65470, 65472, 65474,
      65476, 65478, 65480, 65482, 65484, 65486, 65488, 65490,
      65492, 65494, 65496, 65497, 65499, 65501, 65502, 65504,
      65505, 65507, 65508, 65510, 65511, 65513, 65514, 65515,
      65516, 65518, 65519, 65520, 65521, 65522, 65523, 65524,
      65525, 65526, 65527, 65527, 65528, 65529, 65530, 65530,
      65531, 65531, 65532, 65532, 65533, 65533, 65534, 65534,
      65534, 65535, 65535, 65535, 65535, 65535, 65535, 65535,
    ]

    @@tan_to_angle : Array(Int32) = [
      0, 333772, 667544, 1001315, 1335086, 1668857, 2002626, 2336395,
      2670163, 3003929, 3337694, 3671457, 4005219, 4338979, 4672736, 5006492,
      5340245, 5673995, 6007743, 6341488, 6675230, 7008968, 7342704, 7676435,
      8010164, 8343888, 8677609, 9011325, 9345037, 9678744, 10012447, 10346145,
      10679838, 11013526, 11347209, 11680887, 12014558, 12348225, 12681885, 13015539,
      13349187, 13682829, 14016464, 14350092, 14683714, 15017328, 15350936, 15684536,
      16018129, 16351714, 16685291, 17018860, 17352422, 17685974, 18019518, 18353054,
      18686582, 19020100, 19353610, 19687110, 20020600, 20354080, 20687552, 21021014,
      21354466, 21687906, 22021338, 22354758, 22688168, 23021568, 23354956, 23688332,
      24021698, 24355052, 24688396, 25021726, 25355046, 25688352, 26021648, 26354930,
      26688200, 27021456, 27354702, 27687932, 28021150, 28354356, 28687548, 29020724,
      29353888, 29687038, 30020174, 30353296, 30686404, 31019496, 31352574, 31685636,
      32018684, 32351718, 32684734, 33017736, 33350722, 33683692, 34016648, 34349584,
      34682508, 35015412, 35348300, 35681172, 36014028, 36346868, 36679688, 37012492,
      37345276, 37678044, 38010792, 38343524, 38676240, 39008936, 39341612, 39674272,
      40006912, 40339532, 40672132, 41004716, 41337276, 41669820, 42002344, 42334848,
      42667332, 42999796, 43332236, 43664660, 43997060, 44329444, 44661800, 44994140,
      45326456, 45658752, 45991028, 46323280, 46655512, 46987720, 47319908, 47652072,
      47984212, 48316332, 48648428, 48980500, 49312548, 49644576, 49976580, 50308556,
      50640512, 50972444, 51304352, 51636236, 51968096, 52299928, 52631740, 52963524,
      53295284, 53627020, 53958728, 54290412, 54622068, 54953704, 55285308, 55616888,
      55948444, 56279972, 56611472, 56942948, 57274396, 57605816, 57937212, 58268576,
      58599916, 58931228, 59262512, 59593768, 59924992, 60256192, 60587364, 60918508,
      61249620, 61580704, 61911760, 62242788, 62573788, 62904756, 63235692, 63566604,
      63897480, 64228332, 64559148, 64889940, 65220696, 65551424, 65882120, 66212788,
      66543420, 66874024, 67204600, 67535136, 67865648, 68196120, 68526568, 68856984,
      69187360, 69517712, 69848024, 70178304, 70508560, 70838776, 71168960, 71499112,
      71829224, 72159312, 72489360, 72819376, 73149360, 73479304, 73809216, 74139096,
      74468936, 74798744, 75128520, 75458264, 75787968, 76117632, 76447264, 76776864,
      77106424, 77435952, 77765440, 78094888, 78424304, 78753688, 79083032, 79412336,
      79741608, 80070840, 80400032, 80729192, 81058312, 81387392, 81716432, 82045440,
      82374408, 82703336, 83032224, 83361080, 83689896, 84018664, 84347400, 84676096,
      85004760, 85333376, 85661952, 85990488, 86318984, 86647448, 86975864, 87304240,
      87632576, 87960872, 88289128, 88617344, 88945520, 89273648, 89601736, 89929792,
      90257792, 90585760, 90913688, 91241568, 91569408, 91897200, 92224960, 92552672,
      92880336, 93207968, 93535552, 93863088, 94190584, 94518040, 94845448, 95172816,
      95500136, 95827416, 96154648, 96481832, 96808976, 97136080, 97463136, 97790144,
      98117112, 98444032, 98770904, 99097736, 99424520, 99751256, 100077944, 100404592,
      100731192, 101057744, 101384248, 101710712, 102037128, 102363488, 102689808, 103016080,
      103342312, 103668488, 103994616, 104320696, 104646736, 104972720, 105298656, 105624552,
      105950392, 106276184, 106601928, 106927624, 107253272, 107578872, 107904416, 108229920,
      108555368, 108880768, 109206120, 109531416, 109856664, 110181872, 110507016, 110832120,
      111157168, 111482168, 111807112, 112132008, 112456856, 112781648, 113106392, 113431080,
      113755720, 114080312, 114404848, 114729328, 115053760, 115378136, 115702464, 116026744,
      116350960, 116675128, 116999248, 117323312, 117647320, 117971272, 118295176, 118619024,
      118942816, 119266560, 119590248, 119913880, 120237456, 120560984, 120884456, 121207864,
      121531224, 121854528, 122177784, 122500976, 122824112, 123147200, 123470224, 123793200,
      124116120, 124438976, 124761784, 125084528, 125407224, 125729856, 126052432, 126374960,
      126697424, 127019832, 127342184, 127664472, 127986712, 128308888, 128631008, 128953072,
      129275080, 129597024, 129918912, 130240744, 130562520, 130884232, 131205888, 131527480,
      131849016, 132170496, 132491912, 132813272, 133134576, 133455816, 133776992, 134098120,
      134419184, 134740176, 135061120, 135382000, 135702816, 136023584, 136344272, 136664912,
      136985488, 137306016, 137626464, 137946864, 138267184, 138587456, 138907664, 139227808,
      139547904, 139867920, 140187888, 140507776, 140827616, 141147392, 141467104, 141786752,
      142106336, 142425856, 142745312, 143064720, 143384048, 143703312, 144022512, 144341664,
      144660736, 144979744, 145298704, 145617584, 145936400, 146255168, 146573856, 146892480,
      147211040, 147529536, 147847968, 148166336, 148484640, 148802880, 149121056, 149439152,
      149757200, 150075168, 150393072, 150710912, 151028688, 151346400, 151664048, 151981616,
      152299136, 152616576, 152933952, 153251264, 153568496, 153885680, 154202784, 154519824,
      154836784, 155153696, 155470528, 155787296, 156104000, 156420624, 156737200, 157053696,
      157370112, 157686480, 158002768, 158318976, 158635136, 158951216, 159267232, 159583168,
      159899040, 160214848, 160530592, 160846256, 161161840, 161477376, 161792832, 162108208,
      162423520, 162738768, 163053952, 163369040, 163684080, 163999040, 164313936, 164628752,
      164943504, 165258176, 165572784, 165887312, 166201776, 166516160, 166830480, 167144736,
      167458912, 167773008, 168087040, 168400992, 168714880, 169028688, 169342432, 169656096,
      169969696, 170283216, 170596672, 170910032, 171223344, 171536576, 171849728, 172162800,
      172475808, 172788736, 173101600, 173414384, 173727104, 174039728, 174352288, 174664784,
      174977200, 175289536, 175601792, 175913984, 176226096, 176538144, 176850096, 177161984,
      177473792, 177785536, 178097200, 178408784, 178720288, 179031728, 179343088, 179654368,
      179965568, 180276704, 180587744, 180898720, 181209616, 181520448, 181831184, 182141856,
      182452448, 182762960, 183073408, 183383760, 183694048, 184004240, 184314368, 184624416,
      184934400, 185244288, 185554096, 185863840, 186173504, 186483072, 186792576, 187102000,
      187411344, 187720608, 188029808, 188338912, 188647936, 188956896, 189265760, 189574560,
      189883264, 190191904, 190500448, 190808928, 191117312, 191425632, 191733872, 192042016,
      192350096, 192658096, 192966000, 193273840, 193581584, 193889264, 194196848, 194504352,
      194811792, 195119136, 195426400, 195733584, 196040688, 196347712, 196654656, 196961520,
      197268304, 197574992, 197881616, 198188144, 198494592, 198800960, 199107248, 199413456,
      199719584, 200025616, 200331584, 200637456, 200943248, 201248960, 201554576, 201860128,
      202165584, 202470960, 202776256, 203081456, 203386592, 203691632, 203996592, 204301472,
      204606256, 204910976, 205215600, 205520144, 205824592, 206128960, 206433248, 206737456,
      207041584, 207345616, 207649568, 207953424, 208257216, 208560912, 208864512, 209168048,
      209471488, 209774832, 210078112, 210381296, 210684384, 210987408, 211290336, 211593184,
      211895936, 212198608, 212501184, 212803680, 213106096, 213408432, 213710672, 214012816,
      214314880, 214616864, 214918768, 215220576, 215522288, 215823920, 216125472, 216426928,
      216728304, 217029584, 217330784, 217631904, 217932928, 218233856, 218534704, 218835472,
      219136144, 219436720, 219737216, 220037632, 220337952, 220638192, 220938336, 221238384,
      221538352, 221838240, 222138032, 222437728, 222737344, 223036880, 223336304, 223635664,
      223934912, 224234096, 224533168, 224832160, 225131072, 225429872, 225728608, 226027232,
      226325776, 226624240, 226922608, 227220880, 227519056, 227817152, 228115168, 228413088,
      228710912, 229008640, 229306288, 229603840, 229901312, 230198688, 230495968, 230793152,
      231090256, 231387280, 231684192, 231981024, 232277760, 232574416, 232870960, 233167440,
      233463808, 233760096, 234056288, 234352384, 234648384, 234944304, 235240128, 235535872,
      235831504, 236127056, 236422512, 236717888, 237013152, 237308336, 237603424, 237898416,
      238193328, 238488144, 238782864, 239077488, 239372016, 239666464, 239960816, 240255072,
      240549232, 240843312, 241137280, 241431168, 241724960, 242018656, 242312256, 242605776,
      242899200, 243192512, 243485744, 243778896, 244071936, 244364880, 244657744, 244950496,
      245243168, 245535744, 245828224, 246120608, 246412912, 246705104, 246997216, 247289216,
      247581136, 247872960, 248164688, 248456320, 248747856, 249039296, 249330640, 249621904,
      249913056, 250204128, 250495088, 250785968, 251076736, 251367424, 251658016, 251948512,
      252238912, 252529200, 252819408, 253109520, 253399536, 253689456, 253979280, 254269008,
      254558640, 254848176, 255137632, 255426976, 255716224, 256005376, 256294432, 256583392,
      256872256, 257161024, 257449696, 257738272, 258026752, 258315136, 258603424, 258891600,
      259179696, 259467696, 259755600, 260043392, 260331104, 260618704, 260906224, 261193632,
      261480960, 261768176, 262055296, 262342320, 262629248, 262916080, 263202816, 263489456,
      263776000, 264062432, 264348784, 264635024, 264921168, 265207216, 265493168, 265779024,
      266064784, 266350448, 266636000, 266921472, 267206832, 267492096, 267777264, 268062336,
      268347312, 268632192, 268916960, 269201632, 269486208, 269770688, 270055072, 270339360,
      270623552, 270907616, 271191616, 271475488, 271759296, 272042976, 272326560, 272610048,
      272893440, 273176736, 273459936, 273743040, 274026048, 274308928, 274591744, 274874432,
      275157024, 275439520, 275721920, 276004224, 276286432, 276568512, 276850528, 277132416,
      277414240, 277695936, 277977536, 278259040, 278540448, 278821728, 279102944, 279384032,
      279665056, 279945952, 280226752, 280507456, 280788064, 281068544, 281348960, 281629248,
      281909472, 282189568, 282469568, 282749440, 283029248, 283308960, 283588544, 283868032,
      284147424, 284426720, 284705920, 284985024, 285264000, 285542912, 285821696, 286100384,
      286378976, 286657440, 286935840, 287214112, 287492320, 287770400, 288048384, 288326240,
      288604032, 288881696, 289159264, 289436768, 289714112, 289991392, 290268576, 290545632,
      290822592, 291099456, 291376224, 291652896, 291929440, 292205888, 292482272, 292758528,
      293034656, 293310720, 293586656, 293862496, 294138240, 294413888, 294689440, 294964864,
      295240192, 295515424, 295790560, 296065600, 296340512, 296615360, 296890080, 297164704,
      297439200, 297713632, 297987936, 298262144, 298536256, 298810240, 299084160, 299357952,
      299631648, 299905248, 300178720, 300452128, 300725408, 300998592, 301271680, 301544640,
      301817536, 302090304, 302362976, 302635520, 302908000, 303180352, 303452608, 303724768,
      303996800, 304268768, 304540608, 304812320, 305083968, 305355520, 305626944, 305898272,
      306169472, 306440608, 306711616, 306982528, 307253344, 307524064, 307794656, 308065152,
      308335552, 308605856, 308876032, 309146112, 309416096, 309685984, 309955744, 310225408,
      310494976, 310764448, 311033824, 311303072, 311572224, 311841280, 312110208, 312379040,
      312647776, 312916416, 313184960, 313453376, 313721696, 313989920, 314258016, 314526016,
      314793920, 315061728, 315329408, 315597024, 315864512, 316131872, 316399168, 316666336,
      316933408, 317200384, 317467232, 317733984, 318000640, 318267200, 318533632, 318799968,
      319066208, 319332352, 319598368, 319864288, 320130112, 320395808, 320661408, 320926912,
      321192320, 321457632, 321722816, 321987904, 322252864, 322517760, 322782528, 323047200,
      323311744, 323576192, 323840544, 324104800, 324368928, 324632992, 324896928, 325160736,
      325424448, 325688096, 325951584, 326215008, 326478304, 326741504, 327004608, 327267584,
      327530464, 327793248, 328055904, 328318496, 328580960, 328843296, 329105568, 329367712,
      329629760, 329891680, 330153536, 330415264, 330676864, 330938400, 331199808, 331461120,
      331722304, 331983392, 332244384, 332505280, 332766048, 333026752, 333287296, 333547776,
      333808128, 334068384, 334328544, 334588576, 334848512, 335108352, 335368064, 335627712,
      335887200, 336146624, 336405920, 336665120, 336924224, 337183200, 337442112, 337700864,
      337959552, 338218112, 338476576, 338734944, 338993184, 339251328, 339509376, 339767296,
      340025120, 340282848, 340540480, 340797984, 341055392, 341312704, 341569888, 341826976,
      342083968, 342340832, 342597600, 342854272, 343110848, 343367296, 343623648, 343879904,
      344136032, 344392064, 344648000, 344903808, 345159520, 345415136, 345670656, 345926048,
      346181344, 346436512, 346691616, 346946592, 347201440, 347456224, 347710880, 347965440,
      348219872, 348474208, 348728448, 348982592, 349236608, 349490528, 349744320, 349998048,
      350251648, 350505152, 350758528, 351011808, 351264992, 351518048, 351771040, 352023872,
      352276640, 352529280, 352781824, 353034272, 353286592, 353538816, 353790944, 354042944,
      354294880, 354546656, 354798368, 355049952, 355301440, 355552800, 355804096, 356055264,
      356306304, 356557280, 356808128, 357058848, 357309504, 357560032, 357810464, 358060768,
      358311008, 358561088, 358811104, 359060992, 359310784, 359560480, 359810048, 360059520,
      360308896, 360558144, 360807296, 361056352, 361305312, 361554144, 361802880, 362051488,
      362300032, 362548448, 362796736, 363044960, 363293056, 363541024, 363788928, 364036704,
      364284384, 364531936, 364779392, 365026752, 365274016, 365521152, 365768192, 366015136,
      366261952, 366508672, 366755296, 367001792, 367248192, 367494496, 367740704, 367986784,
      368232768, 368478656, 368724416, 368970080, 369215648, 369461088, 369706432, 369951680,
      370196800, 370441824, 370686752, 370931584, 371176288, 371420896, 371665408, 371909792,
      372154080, 372398272, 372642336, 372886304, 373130176, 373373952, 373617600, 373861152,
      374104608, 374347936, 374591168, 374834304, 375077312, 375320224, 375563040, 375805760,
      376048352, 376290848, 376533248, 376775520, 377017696, 377259776, 377501728, 377743584,
      377985344, 378227008, 378468544, 378709984, 378951328, 379192544, 379433664, 379674688,
      379915584, 380156416, 380397088, 380637696, 380878176, 381118560, 381358848, 381599040,
      381839104, 382079072, 382318912, 382558656, 382798304, 383037856, 383277280, 383516640,
      383755840, 383994976, 384233984, 384472896, 384711712, 384950400, 385188992, 385427488,
      385665888, 385904160, 386142336, 386380384, 386618368, 386856224, 387093984, 387331616,
      387569152, 387806592, 388043936, 388281152, 388518272, 388755296, 388992224, 389229024,
      389465728, 389702336, 389938816, 390175200, 390411488, 390647680, 390883744, 391119712,
      391355584, 391591328, 391826976, 392062528, 392297984, 392533312, 392768544, 393003680,
      393238720, 393473632, 393708448, 393943168, 394177760, 394412256, 394646656, 394880960,
      395115136, 395349216, 395583200, 395817088, 396050848, 396284512, 396518080, 396751520,
      396984864, 397218112, 397451264, 397684288, 397917248, 398150080, 398382784, 398615424,
      398847936, 399080320, 399312640, 399544832, 399776928, 400008928, 400240832, 400472608,
      400704288, 400935872, 401167328, 401398720, 401629984, 401861120, 402092192, 402323136,
      402553984, 402784736, 403015360, 403245888, 403476320, 403706656, 403936896, 404167008,
      404397024, 404626944, 404856736, 405086432, 405316032, 405545536, 405774912, 406004224,
      406233408, 406462464, 406691456, 406920320, 407149088, 407377760, 407606336, 407834784,
      408063136, 408291392, 408519520, 408747584, 408975520, 409203360, 409431072, 409658720,
      409886240, 410113664, 410340992, 410568192, 410795296, 411022304, 411249216, 411476032,
      411702720, 411929312, 412155808, 412382176, 412608480, 412834656, 413060736, 413286720,
      413512576, 413738336, 413964000, 414189568, 414415040, 414640384, 414865632, 415090784,
      415315840, 415540800, 415765632, 415990368, 416215008, 416439552, 416663968, 416888288,
      417112512, 417336640, 417560672, 417784576, 418008384, 418232096, 418455712, 418679200,
      418902624, 419125920, 419349120, 419572192, 419795200, 420018080, 420240864, 420463552,
      420686144, 420908608, 421130976, 421353280, 421575424, 421797504, 422019488, 422241344,
      422463104, 422684768, 422906336, 423127776, 423349120, 423570400, 423791520, 424012576,
      424233536, 424454368, 424675104, 424895744, 425116288, 425336736, 425557056, 425777280,
      425997408, 426217440, 426437376, 426657184, 426876928, 427096544, 427316064, 427535488,
      427754784, 427974016, 428193120, 428412128, 428631040, 428849856, 429068544, 429287168,
      429505664, 429724064, 429942368, 430160576, 430378656, 430596672, 430814560, 431032352,
      431250048, 431467616, 431685120, 431902496, 432119808, 432336992, 432554080, 432771040,
      432987936, 433204736, 433421408, 433637984, 433854464, 434070848, 434287104, 434503296,
      434719360, 434935360, 435151232, 435367008, 435582656, 435798240, 436013696, 436229088,
      436444352, 436659520, 436874592, 437089568, 437304416, 437519200, 437733856, 437948416,
      438162880, 438377248, 438591520, 438805696, 439019744, 439233728, 439447584, 439661344,
      439875008, 440088576, 440302048, 440515392, 440728672, 440941824, 441154880, 441367872,
      441580736, 441793472, 442006144, 442218720, 442431168, 442643552, 442855808, 443067968,
      443280032, 443492000, 443703872, 443915648, 444127296, 444338880, 444550336, 444761696,
      444972992, 445184160, 445395232, 445606176, 445817056, 446027840, 446238496, 446449088,
      446659552, 446869920, 447080192, 447290400, 447500448, 447710432, 447920320, 448130112,
      448339776, 448549376, 448758848, 448968224, 449177536, 449386720, 449595808, 449804800,
      450013664, 450222464, 450431168, 450639776, 450848256, 451056640, 451264960, 451473152,
      451681248, 451889248, 452097152, 452304960, 452512672, 452720288, 452927808, 453135232,
      453342528, 453549760, 453756864, 453963904, 454170816, 454377632, 454584384, 454791008,
      454997536, 455203968, 455410304, 455616544, 455822688, 456028704, 456234656, 456440512,
      456646240, 456851904, 457057472, 457262912, 457468256, 457673536, 457878688, 458083744,
      458288736, 458493600, 458698368, 458903040, 459107616, 459312096, 459516480, 459720768,
      459924960, 460129056, 460333056, 460536960, 460740736, 460944448, 461148064, 461351584,
      461554976, 461758304, 461961536, 462164640, 462367680, 462570592, 462773440, 462976160,
      463178816, 463381344, 463583776, 463786144, 463988384, 464190560, 464392608, 464594560,
      464796448, 464998208, 465199872, 465401472, 465602944, 465804320, 466005600, 466206816,
      466407904, 466608896, 466809824, 467010624, 467211328, 467411936, 467612480, 467812896,
      468013216, 468213440, 468413600, 468613632, 468813568, 469013440, 469213184, 469412832,
      469612416, 469811872, 470011232, 470210528, 470409696, 470608800, 470807776, 471006688,
      471205472, 471404192, 471602784, 471801312, 471999712, 472198048, 472396288, 472594400,
      472792448, 472990400, 473188256, 473385984, 473583648, 473781216, 473978688, 474176064,
      474373344, 474570528, 474767616, 474964608, 475161504, 475358336, 475555040, 475751648,
      475948192, 476144608, 476340928, 476537184, 476733312, 476929376, 477125344, 477321184,
      477516960, 477712640, 477908224, 478103712, 478299104, 478494400, 478689600, 478884704,
      479079744, 479274656, 479469504, 479664224, 479858880, 480053408, 480247872, 480442240,
      480636512, 480830656, 481024736, 481218752, 481412640, 481606432, 481800128, 481993760,
      482187264, 482380704, 482574016, 482767264, 482960416, 483153472, 483346432, 483539296,
      483732064, 483924768, 484117344, 484309856, 484502240, 484694560, 484886784, 485078912,
      485270944, 485462880, 485654720, 485846464, 486038144, 486229696, 486421184, 486612576,
      486803840, 486995040, 487186176, 487377184, 487568096, 487758912, 487949664, 488140320,
      488330880, 488521312, 488711712, 488901984, 489092160, 489282240, 489472256, 489662176,
      489851968, 490041696, 490231328, 490420896, 490610336, 490799712, 490988960, 491178144,
      491367232, 491556224, 491745120, 491933920, 492122656, 492311264, 492499808, 492688256,
      492876608, 493064864, 493253056, 493441120, 493629120, 493817024, 494004832, 494192544,
      494380160, 494567712, 494755136, 494942496, 495129760, 495316928, 495504000, 495691008,
      495877888, 496064704, 496251424, 496438048, 496624608, 496811040, 496997408, 497183680,
      497369856, 497555936, 497741920, 497927840, 498113632, 498299360, 498484992, 498670560,
      498856000, 499041376, 499226656, 499411840, 499596928, 499781920, 499966848, 500151680,
      500336416, 500521056, 500705600, 500890080, 501074464, 501258752, 501442944, 501627040,
      501811072, 501995008, 502178848, 502362592, 502546240, 502729824, 502913312, 503096704,
      503280000, 503463232, 503646368, 503829408, 504012352, 504195200, 504377984, 504560672,
      504743264, 504925760, 505108192, 505290496, 505472736, 505654912, 505836960, 506018944,
      506200832, 506382624, 506564320, 506745952, 506927488, 507108928, 507290272, 507471552,
      507652736, 507833824, 508014816, 508195744, 508376576, 508557312, 508737952, 508918528,
      509099008, 509279392, 509459680, 509639904, 509820032, 510000064, 510180000, 510359872,
      510539648, 510719328, 510898944, 511078432, 511257856, 511437216, 511616448, 511795616,
      511974688, 512153664, 512332576, 512511392, 512690112, 512868768, 513047296, 513225792,
      513404160, 513582432, 513760640, 513938784, 514116800, 514294752, 514472608, 514650368,
      514828064, 515005664, 515183168, 515360608, 515537952, 515715200, 515892352, 516069440,
      516246432, 516423328, 516600160, 516776896, 516953536, 517130112, 517306592, 517482976,
      517659264, 517835488, 518011616, 518187680, 518363648, 518539520, 518715296, 518891008,
      519066624, 519242144, 519417600, 519592960, 519768256, 519943424, 520118528, 520293568,
      520468480, 520643328, 520818112, 520992800, 521167392, 521341888, 521516320, 521690656,
      521864896, 522039072, 522213152, 522387168, 522561056, 522734912, 522908640, 523082304,
      523255872, 523429376, 523602784, 523776096, 523949312, 524122464, 524295552, 524468512,
      524641440, 524814240, 524986976, 525159616, 525332192, 525504640, 525677056, 525849344,
      526021568, 526193728, 526365792, 526537760, 526709632, 526881440, 527053152, 527224800,
      527396352, 527567840, 527739200, 527910528, 528081728, 528252864, 528423936, 528594880,
      528765760, 528936576, 529107296, 529277920, 529448480, 529618944, 529789344, 529959648,
      530129856, 530300000, 530470048, 530640000, 530809888, 530979712, 531149440, 531319072,
      531488608, 531658080, 531827488, 531996800, 532166016, 532335168, 532504224, 532673184,
      532842080, 533010912, 533179616, 533348288, 533516832, 533685312, 533853728, 534022048,
      534190272, 534358432, 534526496, 534694496, 534862400, 535030240, 535197984, 535365632,
      535533216, 535700704, 535868128, 536035456, 536202720, 536369888, 536536992, 536704000,
      536870912,
    ]
  end
end
