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tables.cpp
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// Emacs style mode select -*- C++ -*-
//-----------------------------------------------------------------------------
//
// Copyright(C) 2000 James Haley
//
// 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 <math.h>
#include "tables.h"
// killough 5/3/98: reformatted
const fixed_t finetangent[4096] = { -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,
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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
};
const fixed_t *const finecosine = &finesine[FINEANGLES/4];
const fixed_t 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,
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,