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422 lines
13 KiB
C++
422 lines
13 KiB
C++
// Hyperbolic Rogue -- quotient spaces
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// Copyright (C) 2011-2019 Zeno Rogue, see 'hyper.cpp' for details
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/** \file quotient.cpp
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* \brief quotient spaces
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*/
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#include "hyper.h"
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namespace hr {
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/** \brief quotient spaces */
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EX namespace quotientspace {
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int cod(heptagon *h) {
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return zebra40(h->c7);
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}
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code get(heptspin hs) {
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code res;
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res.connections.resize(S7+1);
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res.connections[0] = cod(hs.at);
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for(int i=1; i<=S7; i++) {
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res.connections[i] = cod((hs + wstep).at);
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hs += 1;
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}
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return res;
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}
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EX int rvadd = 0;
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EX int rvdir = 1;
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int rv(int x) { return (rvadd+x*rvdir) % S7; }
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constexpr int symmask = (1<<30);
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#if HDR
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struct code {
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vector<int> connections;
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bool operator == (const code &c2) const { return connections == c2.connections; }
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bool operator < (const code &c2) const { return connections < c2.connections; }
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};
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struct hrmap_quotient : hrmap_standard {
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hrmap_hyperbolic base;
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vector<cell*> celllist;
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cell *origin;
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map<quotientspace::code, int> reachable;
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vector<heptspin> bfsq;
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vector<int> connections;
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void add(const heptspin& hs);
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vector<heptagon*> allh;
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void generate_connections();
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void build();
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hrmap_quotient() {
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generate_connections();
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build();
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}
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hrmap_quotient(const vector<int>& con) : connections(con) {
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build();
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}
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heptagon *getOrigin() { return allh[0]; }
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~hrmap_quotient() {
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for(int i=0; i<isize(allh); i++) {
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clearHexes(allh[i]);
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tailored_delete(allh[i]);
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}
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}
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vector<cell*>& allcells() { return celllist; }
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};
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#endif
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void hrmap_quotient::add(const heptspin& hs) {
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code g = get(hs);
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if(!reachable.count(g)) {
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reachable[g] = bfsq.size();
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bfsq.push_back(hs);
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add(hs + 1);
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}
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}
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void hrmap_quotient::generate_connections() {
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dynamicval<hrmap*> cmap(currentmap, this);
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connections.clear();
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switch(geometry) {
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#if CAP_FIELD
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case gFieldQuotient: {
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connections = currfp.connections;
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break;
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}
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#endif
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case gZebraQuotient: {
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heptspin hs(base.origin);
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reachable.clear();
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bfsq.clear();
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add(hs);
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for(int i=0; i<(int)bfsq.size(); i++) {
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hs = bfsq[i] + wstep;
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add(hs);
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connections.push_back(reachable[get(hs)]);
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}
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break;
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}
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case gMinimal: {
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int altzebra[6][7] = {
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{ 16,125,111, 45, 32, 56, 20 },
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{ 26,102,146,152, 35,124, 00 },
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{ 06, 55,143,134,115,101, 10 },
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{ 41, 50, 04, 44,123, 14,153 },
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{ 51, 30,154,122, 33, 03,112 },
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{ 31, 40,113,136,142, 21, 05 }
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};
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// int ok = 0;
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for(int a=0; a<6; a++) {
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for(int b=0; b<7; b++) {
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int s = altzebra[a][b];
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int mirr = s/100; s %= 100;
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int which = s/10; s %= 10;
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int shouldbe = a*10+b+mirr*100;
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if(altzebra[which][s] != shouldbe) {
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printf("error at %d:%d (is=%d shouldbe=%d)\n", a, b, altzebra[which][s], shouldbe);
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}
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connections.push_back(which * 7 + s + (mirr ? symmask : 0) );
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}
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}
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break;
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}
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case gKleinQuartic: {
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connections = {
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/* 000 */ 7, 14, 21, 28, 35, 42, 49,
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/* 001 */ 0, 55, 56, 63, 70, 77, 15,
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/* 002 */ 1, 13, 83, 84, 91, 98, 22,
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/* 003 */ 2, 20, 104, 105, 112, 119, 29,
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/* 004 */ 3, 27, 125, 74, 126, 133, 36,
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/* 005 */ 4, 34, 139, 95, 66, 140, 43,
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/* 006 */ 5, 41, 146, 116, 87, 147, 50,
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/* 007 */ 6, 48, 153, 130, 108, 57, 8,
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/* 008 */ 9, 54, 107, 102, 154, 142, 64,
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/* 009 */ 10, 62, 141, 39, 94, 161, 71,
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/* 010 */ 11, 69, 167, 127, 31, 124, 78,
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/* 011 */ 12, 76, 123, 158, 149, 85, 16,
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/* 012 */ 17, 82, 148, 46, 115, 163, 92,
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/* 013 */ 18, 90, 162, 67, 38, 138, 99,
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/* 014 */ 19, 97, 137, 155, 59, 106, 23,
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/* 015 */ 24, 103, 58, 53, 129, 165, 113,
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/* 016 */ 25, 111, 164, 88, 45, 145, 120,
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/* 017 */ 26, 118, 144, 159, 79, 75, 30,
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/* 018 */ 32, 73, 166, 109, 52, 152, 134,
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/* 019 */ 33, 132, 151, 156, 100, 96, 37,
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/* 020 */ 40, 65, 61, 160, 121, 117, 44,
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/* 021 */ 47, 86, 81, 157, 135, 131, 51,
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/* 022 */ 60, 101, 136, 150, 80, 122, 143,
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/* 023 */ 68, 93, 89, 114, 110, 128, 72,
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};
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break;
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}
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case gBolza: {
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connections = {
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/* 000 */ 8, 16, 24, 32, 12, 20, 28, 36,
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/* 001 */ 0, 35, 47, 21, 4, 39, 43, 17,
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/* 002 */ 1, 15, 42, 29, 5, 11, 46, 25,
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/* 003 */ 2, 23, 45, 37, 6, 19, 41, 33,
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/* 004 */ 3, 31, 40, 9, 7, 27, 44, 13,
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/* 005 */ 34, 30, 18, 14, 38, 26, 22, 10,
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};
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break;
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}
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case gBolza2: {
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connections = {
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/* 000 */ 16, 32, 48, 64, 24, 40, 56, 72,
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/* 001 */ 20, 44, 52, 76, 28, 36, 60, 68,
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/* 002 */ 0, 79, 83, 45, 8, 67, 95, 33,
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/* 003 */ 4, 71, 87, 37, 12, 75, 91, 41,
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/* 004 */ 1, 23, 94, 61, 13, 27, 86, 49,
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/* 005 */ 5, 31, 90, 53, 9, 19, 82, 57,
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/* 006 */ 2, 39, 85, 77, 10, 43, 89, 65,
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/* 007 */ 6, 47, 81, 69, 14, 35, 93, 73,
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/* 008 */ 3, 55, 88, 21, 15, 59, 80, 25,
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/* 009 */ 7, 63, 92, 29, 11, 51, 84, 17,
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/* 010 */ 70, 58, 46, 18, 78, 50, 38, 26,
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/* 011 */ 66, 54, 42, 30, 74, 62, 34, 22,
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};
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break;
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}
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case gMacbeath: {
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connections = {
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/* 000 */ 359, 498, 189, 215, 424, 381, 20,
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/* 001 */ 366, 491, 217, 187, 431, 346, 27,
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/* 002 */ 380, 484, 168, 208, 438, 360, 6,
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/* 003 */ 345, 477, 196, 180, 445, 367, 13,
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/* 004 */ 352, 470, 203, 173, 396, 388, 48,
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/* 005 */ 373, 463, 175, 201, 403, 339, 55,
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/* 006 */ 387, 456, 210, 194, 410, 353, 34,
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/* 007 */ 338, 449, 182, 222, 417, 374, 41,
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/* 008 */ 254, 459, 140, 138, 414, 248, 69,
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/* 009 */ 247, 480, 112, 166, 435, 255, 62,
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/* 010 */ 233, 452, 161, 117, 407, 269, 83,
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/* 011 */ 268, 487, 133, 145, 442, 234, 76,
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/* 012 */ 261, 473, 126, 152, 400, 241, 97,
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/* 013 */ 240, 494, 154, 124, 421, 262, 90,
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/* 014 */ 226, 466, 119, 159, 393, 276, 111,
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/* 015 */ 275, 501, 147, 131, 428, 227, 104,
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/* 016 */ 65, 479, 343, 355, 408, 73, 167,
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/* 017 */ 100, 465, 371, 383, 422, 94, 160,
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/* 018 */ 86, 472, 350, 348, 429, 108, 153,
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/* 019 */ 79, 486, 378, 376, 415, 59, 146,
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/* 020 */ 58, 458, 385, 369, 443, 80, 139,
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/* 021 */ 107, 500, 357, 341, 401, 87, 132,
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/* 022 */ 93, 493, 364, 390, 394, 101, 125,
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/* 023 */ 72, 451, 336, 362, 436, 66, 118,
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/* 024 */ 16, 483, 294, 313, 397, 31, 209,
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/* 025 */ 37, 462, 322, 285, 446, 24, 202,
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/* 026 */ 51, 448, 287, 334, 432, 10, 223,
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/* 027 */ 2, 497, 315, 306, 411, 45, 216,
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/* 028 */ 23, 476, 308, 299, 404, 38, 181,
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/* 029 */ 30, 469, 280, 327, 439, 17, 174,
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/* 030 */ 44, 455, 329, 292, 425, 3, 195,
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/* 031 */ 9, 490, 301, 320, 418, 52, 188,
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/* 032 */ 324, 467, 98, 110, 427, 332, 258,
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/* 033 */ 289, 453, 70, 82, 441, 283, 265,
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/* 034 */ 303, 495, 91, 89, 399, 297, 272,
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/* 035 */ 310, 481, 63, 61, 413, 318, 279,
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/* 036 */ 331, 460, 56, 68, 434, 325, 230,
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/* 037 */ 282, 474, 84, 96, 420, 290, 237,
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/* 038 */ 296, 488, 77, 75, 406, 304, 244,
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/* 039 */ 317, 502, 105, 103, 392, 311, 251,
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/* 040 */ 205, 475, 259, 236, 447, 178, 328,
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/* 041 */ 184, 454, 231, 264, 426, 213, 335,
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/* 042 */ 170, 489, 266, 243, 405, 199, 314,
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/* 043 */ 219, 496, 238, 271, 412, 192, 321,
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/* 044 */ 198, 482, 245, 278, 398, 171, 300,
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/* 045 */ 191, 503, 273, 250, 419, 220, 307,
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/* 046 */ 177, 468, 224, 257, 440, 206, 286,
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/* 047 */ 212, 461, 252, 229, 433, 185, 293,
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/* 048 */ 163, 450, 49, 40, 402, 150, 363,
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/* 049 */ 114, 478, 21, 12, 430, 129, 356,
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/* 050 */ 128, 471, 28, 47, 409, 115, 349,
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/* 051 */ 149, 499, 0, 19, 437, 164, 342,
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/* 052 */ 156, 492, 7, 26, 444, 143, 391,
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/* 053 */ 121, 464, 35, 54, 416, 136, 384,
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/* 054 */ 135, 485, 14, 5, 423, 122, 377,
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/* 055 */ 142, 457, 42, 33, 395, 157, 370,
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/* 056 */ 277, 102, 158, 389, 32, 172, 312,
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/* 057 */ 242, 88, 151, 340, 39, 200, 298,
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/* 058 */ 270, 74, 116, 354, 46, 193, 305,
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/* 059 */ 249, 60, 137, 375, 53, 221, 319,
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/* 060 */ 263, 95, 123, 382, 4, 214, 291,
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/* 061 */ 228, 109, 130, 347, 11, 186, 333,
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/* 062 */ 256, 67, 165, 361, 18, 207, 326,
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/* 063 */ 235, 81, 144, 368, 25, 179, 284,
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/* 064 */ 183, 50, 337, 162, 71, 232, 288,
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/* 065 */ 211, 43, 386, 141, 57, 253, 330,
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/* 066 */ 176, 36, 372, 120, 99, 225, 323,
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/* 067 */ 204, 29, 351, 127, 85, 260, 281,
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/* 068 */ 197, 22, 344, 113, 64, 246, 309,
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/* 069 */ 169, 15, 379, 134, 78, 267, 295,
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/* 070 */ 218, 8, 365, 155, 92, 239, 302,
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/* 071 */ 190, 1, 358, 148, 106, 274, 316,
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};
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break;
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}
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case gBring: {
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connections = {
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/* 000 */ 5, 92, 46, 33, 14,
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/* 001 */ 0, 62, 56, 38, 24,
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/* 002 */ 15, 97, 76, 63, 4,
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/* 003 */ 10, 32, 86, 68, 29,
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/* 004 */ 25, 67, 106, 93, 9,
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/* 005 */ 20, 37, 116, 98, 19,
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/* 006 */ 35, 102, 16, 3, 44,
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/* 007 */ 30, 72, 26, 8, 54,
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/* 008 */ 45, 107, 66, 73, 34,
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/* 009 */ 40, 2, 81, 78, 59,
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/* 010 */ 55, 77, 96, 103, 39,
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/* 011 */ 50, 7, 111, 108, 49,
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/* 012 */ 65, 112, 6, 13, 74,
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/* 013 */ 60, 42, 21, 18, 84,
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/* 014 */ 75, 117, 36, 43, 64,
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/* 015 */ 70, 12, 51, 48, 89,
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/* 016 */ 85, 47, 91, 113, 69,
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/* 017 */ 80, 17, 101, 118, 79,
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/* 018 */ 95, 82, 1, 23, 104,
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/* 019 */ 90, 52, 11, 28, 114,
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/* 020 */ 105, 87, 31, 53, 94,
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/* 021 */ 100, 22, 41, 58, 119,
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/* 022 */ 115, 57, 61, 83, 99,
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/* 023 */ 110, 27, 71, 88, 109,
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};
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break;
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}
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case gSchmutzM2: {
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connections = {
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23, 47, 27, 14, 38, 30, 17, 41, 33, 20, 44, 24,
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35, 39, 3, 26, 42, 6, 29, 45, 9, 32, 36, 0,
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11, 43, 15, 2, 46, 18, 5, 37, 21, 8, 40, 12,
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22, 31, 4, 13, 34, 7, 16, 25, 10, 19, 28, 1,
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};
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break;
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}
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case gSchmutzM3: {
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connections = {
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23, 47, 64, 28, 15, 39, 68, 32, 19, 43, 60, 24,
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35, 52, 40, 4, 27, 56, 44, 8, 31, 48, 36, 0,
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11, 71, 57, 16, 3, 63, 49, 20, 7, 67, 53, 12,
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22, 59, 69, 5, 14, 51, 61, 9, 18, 55, 65, 1,
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21, 30, 62, 41, 13, 34, 66, 45, 17, 26, 70, 37,
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10, 42, 50, 29, 2, 46, 54, 33, 6, 38, 58, 25,
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};
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break;
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}
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default: break;
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}
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}
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void hrmap_quotient::build() {
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dynamicval<hrmap*> cmap(currentmap, this);
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int TOT = connections.size() / S7;
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// printf("heptagons = %d\n", TOT);
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// printf("all cells = %d\n", TOT*(S7+S3)/S3);
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if(!TOT) exit(1);
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allh.resize(TOT);
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for(int i=0; i<TOT; i++) allh[i] = tailored_alloc<heptagon> (S7);
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// heptagon *oldorigin = origin;
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allh[0]->alt = base.origin;
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for(int i=0; i<TOT; i++) {
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heptagon *h = allh[i];
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if(i) {
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h->alt = NULL;
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}
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if(true) {
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h->s = hsOrigin;
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h->emeraldval = 0;
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h->zebraval = 0;
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h->fiftyval = 0;
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h->fieldval = S7*i;
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h->rval0 = h->rval1 = 0; h->cdata = NULL;
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h->distance = 0;
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if(!IRREGULAR) h->c7 = newCell(S7, h);
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else h->c7 = NULL;
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}
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for(int j=0; j<S7; j++) {
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int co = connections[i*S7+j];
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bool swapped = co & symmask;
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co &= ~symmask;
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h->move(rv(j)) = allh[co/S7];
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h->c.setspin(rv(j), rv(co%S7), swapped);
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}
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}
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vector<heptagon*> by_dist;
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by_dist.push_back(allh[0]);
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for(int i=0; i<TOT; i++) {
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if(i >= isize(by_dist)) { printf("too fast\n"); exit(1); }
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for(int a=0; a<S7; a++) if(by_dist[i]->move(a)->alt == NULL) by_dist.push_back(by_dist[i]->move(a));
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currentmap->generateAlts(by_dist[i], 0, false);
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}
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for(int i=0; i<TOT; i++) {
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allh[i]->emeraldval = allh[i]->alt->emeraldval;
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allh[i]->zebraval = allh[i]->alt->zebraval;
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allh[i]->fiftyval = allh[i]->alt->fiftyval;
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allh[i]->distance = allh[i]->alt->distance;
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/* for(int j=0; j<7; j++)
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allh[i]->move[j]->alt = createStep(allh[i]->alt, j); */
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}
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#if CAP_IRR
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if(IRREGULAR) {
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irr::link_start(allh[0]);
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for(int i=0; i<TOT; i++)
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for(int j=0; j<S7; j++)
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irr::may_link_next(allh[i], j);
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}
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#endif
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celllister cl(gamestart(), 100, 100000000, NULL);
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celllist = cl.lst;
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}
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EX struct hrmap_quotient* new_map() { return new hrmap_quotient; }
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EX }
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}
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