//
// Copyright(C) 1993-1996 Id Software, Inc.
// Copyright(C) 2005-2014 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.
//
// 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"

// to get a global angle from cartesian coordinates, the coordinates are
// flipped until they are in the first octant of the coordinate system, then
// the y (<=x) is scaled and divided by x to get a tangent (slope) value
// which is looked up in the tantoangle[] table.  The +1 size is to handle
// the case when x==y without additional checking.

int SlopeDiv(unsigned int num, unsigned int den)
{
    unsigned ans;
    
    if (den < 512)
    {
        return SLOPERANGE;
    }
    else
    {
        ans = (num << 3) / (den >> 8);

        if (ans <= SLOPERANGE)
        {
            return ans;
        }
        else
        {
            return SLOPERANGE;
        }
    }
}

const int 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,
    -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
};


const 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,
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    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
};

const fixed_t *finecosine = &finesine[FINEANGLES/4];

const 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,
    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
};

// Now where did these came from?
const byte gammatable[5][256] =
{
    {
        1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
        17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,
        33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,
        49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,
        65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,
        81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,
        97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,
        113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,
        128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,
        144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,
        160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,
        176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,
        192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,
        208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,
        224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,
        240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255
    },

    {
        2,4,5,7,8,10,11,12,14,15,16,18,19,20,21,23,
        24,25,26,27,29,30,31,32,33,34,36,37,38,39,40,41,
        42,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,
        60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,
        77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,
        93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,
        109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,
        125,126,127,128,129,129,130,131,132,133,134,135,136,137,138,139,
        140,141,142,143,144,145,146,147,148,148,149,150,151,152,153,154,
        155,156,157,158,159,160,161,162,163,163,164,165,166,167,168,169,
        170,171,172,173,174,175,175,176,177,178,179,180,181,182,183,184,
        185,186,186,187,188,189,190,191,192,193,194,195,196,196,197,198,
        199,200,201,202,203,204,205,205,206,207,208,209,210,211,212,213,
        214,214,215,216,217,218,219,220,221,222,222,223,224,225,226,227,
        228,229,230,230,231,232,233,234,235,236,237,237,238,239,240,241,
        242,243,244,245,245,246,247,248,249,250,251,252,252,253,254,255
    },

    {
        4,7,9,11,13,15,17,19,21,22,24,26,27,29,30,32,
        33,35,36,38,39,40,42,43,45,46,47,48,50,51,52,54,
        55,56,57,59,60,61,62,63,65,66,67,68,69,70,72,73,
        74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,
        91,92,93,94,95,96,97,98,100,101,102,103,104,105,106,107,
        108,109,110,111,112,113,114,114,115,116,117,118,119,120,121,122,
        123,124,125,126,127,128,129,130,131,132,133,133,134,135,136,137,
        138,139,140,141,142,143,144,144,145,146,147,148,149,150,151,152,
        153,153,154,155,156,157,158,159,160,160,161,162,163,164,165,166,
        166,167,168,169,170,171,172,172,173,174,175,176,177,178,178,179,
        180,181,182,183,183,184,185,186,187,188,188,189,190,191,192,193,
        193,194,195,196,197,197,198,199,200,201,201,202,203,204,205,206,
        206,207,208,209,210,210,211,212,213,213,214,215,216,217,217,218,
        219,220,221,221,222,223,224,224,225,226,227,228,228,229,230,231,
        231,232,233,234,235,235,236,237,238,238,239,240,241,241,242,243,
        244,244,245,246,247,247,248,249,250,251,251,252,253,254,254,255
    },

    {
        8,12,16,19,22,24,27,29,31,34,36,38,40,41,43,45,
        47,49,50,52,53,55,57,58,60,61,63,64,65,67,68,70,
        71,72,74,75,76,77,79,80,81,82,84,85,86,87,88,90,
        91,92,93,94,95,96,98,99,100,101,102,103,104,105,106,107,
        108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,
        124,125,126,127,128,129,130,131,132,133,134,135,135,136,137,138,
        139,140,141,142,143,143,144,145,146,147,148,149,150,150,151,152,
        153,154,155,155,156,157,158,159,160,160,161,162,163,164,165,165,
        166,167,168,169,169,170,171,172,173,173,174,175,176,176,177,178,
        179,180,180,181,182,183,183,184,185,186,186,187,188,189,189,190,
        191,192,192,193,194,195,195,196,197,197,198,199,200,200,201,202,
        202,203,204,205,205,206,207,207,208,209,210,210,211,212,212,213,
        214,214,215,216,216,217,218,219,219,220,221,221,222,223,223,224,
        225,225,226,227,227,228,229,229,230,231,231,232,233,233,234,235,
        235,236,237,237,238,238,239,240,240,241,242,242,243,244,244,245,
        246,246,247,247,248,249,249,250,251,251,252,253,253,254,254,255
    },


    {
        16,23,28,32,36,39,42,45,48,50,53,55,57,60,62,64,
        66,68,69,71,73,75,76,78,80,81,83,84,86,87,89,90,
        92,93,94,96,97,98,100,101,102,103,105,106,107,108,109,110,
        112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,128,
        128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,
        143,144,145,146,147,148,149,150,150,151,152,153,154,155,155,156,
        157,158,159,159,160,161,162,163,163,164,165,166,166,167,168,169,
        169,170,171,172,172,173,174,175,175,176,177,177,178,179,180,180,
        181,182,182,183,184,184,185,186,187,187,188,189,189,190,191,191,
        192,193,193,194,195,195,196,196,197,198,198,199,200,200,201,202,
        202,203,203,204,205,205,206,207,207,208,208,209,210,210,211,211,
        212,213,213,214,214,215,216,216,217,217,218,219,219,220,220,221,
        221,222,223,223,224,224,225,225,226,227,227,228,228,229,229,230,
        230,231,232,232,233,233,234,234,235,235,236,236,237,237,238,239,
        239,240,240,241,241,242,242,243,243,244,244,245,245,246,246,247,
        247,248,248,249,249,250,250,251,251,252,252,253,254,254,255,255
    }
};

