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path: root/src/tables.c
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// Emacs style mode select   -*- C++ -*- 
//-----------------------------------------------------------------------------
//
// Copyright(C) 1993-1996 Id Software, Inc.
// Copyright(C) 2005 Simon Howard
//
// 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.
//
// You should have received a copy of the GNU General Public License
// along with this program; if not, write to the Free Software
// Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA
// 02111-1307, USA.
//
// DESCRIPTION:
//	Lookup tables.
//	Do not try to look them up :-).
//	In the order of appearance: 
//
//	int finetangent[4096]	- Tangens LUT.
//	 Should work with BAM fairly well (12 of 16bit,
//      effectively, by shifting).
//
//	int finesine[10240]		- Sine lookup.
//	 Guess what, serves as cosine, too.
//	 Remarkable thing is, how to use BAMs with this? 
//
//	int tantoangle[2049]	- ArcTan LUT,
//	  maps tan(angle) to angle fast. Gotta search.
//	
//    
//-----------------------------------------------------------------------------





#include "tables.h"




int
SlopeDiv
( unsigned	num,
  unsigned	den)
{
    unsigned 	ans;
    
    if (den < 512)
	return SLOPERANGE;

    ans = (num<<3)/(den>>8);

    return ans <= SLOPERANGE ? ans : SLOPERANGE;
}




int finetangent[4096] =
{
    -170910304,-56965752,-34178904,-24413316,-18988036,-15535599,-13145455,-11392683,
    -10052327,-8994149,-8137527,-7429880,-6835455,-6329090,-5892567,-5512368,
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    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
};


int finesine[10240] =
{
    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,
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    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
};



angle_t tantoangle[2049] =
{
    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,
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};