#include <cstdio> #include <algorithm> #include <set> #include <vector> using namespace std; #define VDEBUG(...) {} #define DEBUG(...) {} #define ERROR(...) {} //#define ERROR(...) { fprintf(stderr, __VA_ARGS__); fflush(stderr);/* exit(1);*/ } //#define DEBUG(...) { fprintf(stderr, __VA_ARGS__); fflush(stderr); } //#define VDEBUG(...) { fprintf(stderr, __VA_ARGS__); fflush(stderr); } //#define DEBUGPRINT #define MAXN 100007 int N, Nret; #define RIGHT 0 #define DOWN 1 #define LEFT 2 #define UP 3 int opposite_dir(int dir) { return (dir + 2) % 4; } struct rect { int x1, x2, y1, y2; int mergeid; /* == i if not merged. */ vector<int> *neighb[4]; } R[MAXN]; bool rectlex(const rect &a, const rect &b) { /* lexcmp. */ if (a.x1 != b.x1) return a.x1 < b.x1; if (a.x2 != b.x2) return a.x2 < b.x2; if (a.y1 != b.y1) return a.y1 < b.y1; return a.y2 < b.y2; } int rect_find_mergeid(int id) { if (R[id].mergeid != id) { R[id].mergeid = rect_find_mergeid(R[id].mergeid); } return R[id].mergeid; } //////////////////////////////////////////////////////////// bool global_merged; struct xasc { bool operator()(const int &i, const int &j) { return R[i].x1 < R[j].x1; } }; struct xdesc { bool operator()(const int &i, const int &j) { return R[i].x2 > R[j].x2; } }; struct yasc { bool operator()(const int &i, const int &j) { return R[i].y1 < R[j].y1; } }; struct ydesc { bool operator()(const int &i, const int &j) { return R[i].y2 > R[j].y2; } }; set<int, xasc> right; set<int, xdesc> left; set<int, yasc> down; set<int, ydesc> up; int cur_mergeid; void insert_neighb(rect &r) { int i; #define INSERT_NEIGHB(DIR, SET) { \ for (i = 0; i < r.neighb[DIR]->size(); i++) { \ int id = rect_find_mergeid((*r.neighb[DIR])[i]); \ if (id == cur_mergeid) \ continue; \ SET.insert(id); \ } \ } INSERT_NEIGHB(RIGHT, right); INSERT_NEIGHB(LEFT, left); INSERT_NEIGHB(UP, up); INSERT_NEIGHB(DOWN, down); } void erase_from_neighb(int id) { right.erase(id); left.erase(id); up.erase(id); down.erase(id); } bool rect_intersect(rect &a, rect &b) { return a.x1 < b.x2 && a.x2 > b.x1 && a.y1 < b.y2 && a.y2 > b.y1; } bool rect_merge_if_intersect(int to, int from) { from = rect_find_mergeid(from); if (R[to].mergeid != to) { ERROR("Target rectangle %d is already merged into %d.", to, R[to].mergeid); } VDEBUG("Try merge %d (%d %d %d %d) to %d (%d %d %d %d).\n", from, R[from].x1, R[from].x2, R[from].y1, R[from].y2, to, R[to].x1, R[to].x2, R[to].y1, R[to].y2); rect &a = R[to]; rect &b = R[from]; if (a.mergeid == b.mergeid) { ERROR("mergeid == %d already merged together!\n", a.mergeid); } if (rect_intersect(a, b)) { if (b.x1 < a.x1) a.x1 = b.x1; if (b.x2 > a.x2) a.x2 = b.x2; if (b.y1 < a.y1) a.y1 = b.y1; if (b.y2 > a.y2) a.y2 = b.y2; b.mergeid = a.mergeid; erase_from_neighb(from); insert_neighb(b); for (int i = 0; i < 4; i++) { delete b.neighb[i]; b.neighb[i] = NULL; } Nret--; VDEBUG("Merged %d to %d.\n", from, to); return true; } return false; } void print_merge_neighb() { #ifdef DEBUGPRINT VDEBUG("merge_neighb: "); for (set<int, xasc>::iterator it = right.begin(); it != right.end(); it++) { VDEBUG(" %d", *it); } VDEBUG("\n"); #endif } void rect_mergeall(int i) { if (rect_find_mergeid(i) != i) return; cur_mergeid = R[i].mergeid; insert_neighb(R[i]); bool merged; do { print_merge_neighb(); merged = false; #define SEARCH(SET, SORT) { \ set<int, SORT>::iterator it = SET.begin(); \ if (it != SET.end()) \ merged |= rect_merge_if_intersect(i, *it); \ } SEARCH(right, xasc); SEARCH(left, xdesc); SEARCH(down, yasc); SEARCH(up, ydesc); global_merged |= merged; } while (merged); /* new neighb after all merges. */ #define REINSERT_NEIGHB(DIR, SET) {\ R[i].neighb[DIR]->clear(); \ R[i].neighb[DIR]->insert(R[i].neighb[DIR]->begin(), SET.begin(), SET.end()); \ SET.clear(); \ } REINSERT_NEIGHB(RIGHT, right); REINSERT_NEIGHB(LEFT, left); REINSERT_NEIGHB(UP, up); REINSERT_NEIGHB(DOWN, down); } //////////////////////////////////////////////////////////// struct seg { int a1, a2, b, id; } horu[MAXN], hord[MAXN], verl[MAXN], verr[MAXN]; bool segcmp_b(const seg &a, const seg &b) { return a.b < b.b; } struct segcmp_a { bool operator()(const seg &a, const seg &b) { return a.a1 < b.a1; } }; set<seg, segcmp_a> sweep; void sweep_step(seg &cur, int dir) { set<seg, segcmp_a>::iterator f; f = sweep.lower_bound(cur); if (f != sweep.begin()) f--; /* All segments on sweep are not intersecting. */ while (f != sweep.end() && f->a1 < cur.a2) { set<seg, segcmp_a>::iterator nextf = f; nextf++; if (f->a2 > cur.a1) { /* intersect. */ R[f->id].neighb[dir]->push_back(cur.id); R[cur.id].neighb[opposite_dir(dir)]->push_back(f->id); VDEBUG("-([%d %d]@%d from rect %d)\n", f->a1, f->a2, f->b, f->id); sweep.erase(f); } f = nextf; } sweep.insert(cur); VDEBUG("+([%d %d]@%d from rect %d)\n", cur.a1, cur.a2, cur.b, cur.id); } //////////////////////////////////////////////////////////// void print_all_neighb() { #ifdef DEBUGPRINT for (int i = 0; i < N; i++) { for (int j = 0; j < 4; j++) { VDEBUG("neighb[%d][%s]: ", i, j == 0 ? "RIGHT" : j == 1 ? "DOWN" : j == 2 ? "LEFT" : "UP"); for(int k = 0; k < R[i].neighb[j]->size(); k++) { VDEBUG(" %d", (*R[i].neighb[j])[k]); } VDEBUG("\n"); } } #endif } void run() { int i, cnt; cnt = 0; for (i = 0; i < N; i++) { if (rect_find_mergeid(i) != i) continue; horu[cnt].a1 = hord[cnt].a1 = R[i].x1; horu[cnt].a2 = hord[cnt].a2 = R[i].x2; horu[cnt].b = R[i].y1; hord[cnt].b = R[i].y2; verl[cnt].a1 = verr[cnt].a2 = R[i].y1; verl[cnt].a2 = verr[cnt].a2 = R[i].y2; verl[cnt].b = R[i].x1; verr[cnt].b = R[i].x2; horu[cnt].id = hord[cnt].id = verl[cnt].id = verr[cnt].id = i; cnt++; } if (cnt != N) { ERROR("Some rectangles already merged: cnt = %d Nret = %d.\n", cnt, Nret); } sort(verl, verl+N, segcmp_b); sort(verr, verr+N, segcmp_b); sort(horu, horu+N, segcmp_b); sort(hord, hord+N, segcmp_b); /* left -> right */ VDEBUG("sweep left->right\n"); sweep.clear(); for (i = 0; i < N; i++) sweep_step(verl[i], RIGHT); print_all_neighb(); /* right -> left */ VDEBUG("sweep right->left\n"); sweep.clear(); for (i = N-1; i >= 0; i--) sweep_step(verr[i], LEFT); print_all_neighb(); /* up -> down */ VDEBUG("sweep up->down\n"); sweep.clear(); for (i = 0; i < N; i++) sweep_step(horu[i], DOWN); print_all_neighb(); /* right -> left */ VDEBUG("sweep down->up\n"); sweep.clear(); for (i = N-1; i >= 0; i--) sweep_step(hord[i], UP); print_all_neighb(); sweep.clear(); /* Merge. */ for (i = 0; i < N; i++) rect_mergeall(i); /* Cleanup */ cnt = 0; for (i = 0; i < N; i++) { int j; for (j = 0; j < 4; j++) { if (R[i].neighb[j] != NULL) { delete R[i].neighb[j]; R[i].neighb[j] = NULL; } } if (R[i].mergeid != i) continue; R[cnt] = R[i]; R[cnt].mergeid = cnt; for (j = 0; j < 4; j++) R[cnt].neighb[j] = new vector<int>(); cnt++; } if (cnt != Nret) { ERROR("cnt != Nret. cnt = %d, Nret = %d\n", cnt, Nret); } N = cnt; } int main() { int i; scanf("%d", &N); for (i = 0; i < N; i++) { scanf("%d %d %d %d", &R[i].x1, &R[i].x2, &R[i].y1, &R[i].y2); R[i].mergeid = i; for (int j = 0; j < 4; j++) R[i].neighb[j] = new vector<int>(); } int num_passes = 0; Nret = N; do { global_merged = false; run(); num_passes++; } while (global_merged /*&& false /* safety net for a bug*/); DEBUG("num_passes=%d %s\n", num_passes, num_passes > 2 ? "> 2" : ""); sort(R, R+N, rectlex); printf("%d\n", N); for (i = 0; i < N; i++) { printf("%d %d %d %d\n", R[i].x1, R[i].x2, R[i].y1, R[i].y2); } return 0; }
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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 | #include <cstdio> #include <algorithm> #include <set> #include <vector> using namespace std; #define VDEBUG(...) {} #define DEBUG(...) {} #define ERROR(...) {} //#define ERROR(...) { fprintf(stderr, __VA_ARGS__); fflush(stderr);/* exit(1);*/ } //#define DEBUG(...) { fprintf(stderr, __VA_ARGS__); fflush(stderr); } //#define VDEBUG(...) { fprintf(stderr, __VA_ARGS__); fflush(stderr); } //#define DEBUGPRINT #define MAXN 100007 int N, Nret; #define RIGHT 0 #define DOWN 1 #define LEFT 2 #define UP 3 int opposite_dir(int dir) { return (dir + 2) % 4; } struct rect { int x1, x2, y1, y2; int mergeid; /* == i if not merged. */ vector<int> *neighb[4]; } R[MAXN]; bool rectlex(const rect &a, const rect &b) { /* lexcmp. */ if (a.x1 != b.x1) return a.x1 < b.x1; if (a.x2 != b.x2) return a.x2 < b.x2; if (a.y1 != b.y1) return a.y1 < b.y1; return a.y2 < b.y2; } int rect_find_mergeid(int id) { if (R[id].mergeid != id) { R[id].mergeid = rect_find_mergeid(R[id].mergeid); } return R[id].mergeid; } //////////////////////////////////////////////////////////// bool global_merged; struct xasc { bool operator()(const int &i, const int &j) { return R[i].x1 < R[j].x1; } }; struct xdesc { bool operator()(const int &i, const int &j) { return R[i].x2 > R[j].x2; } }; struct yasc { bool operator()(const int &i, const int &j) { return R[i].y1 < R[j].y1; } }; struct ydesc { bool operator()(const int &i, const int &j) { return R[i].y2 > R[j].y2; } }; set<int, xasc> right; set<int, xdesc> left; set<int, yasc> down; set<int, ydesc> up; int cur_mergeid; void insert_neighb(rect &r) { int i; #define INSERT_NEIGHB(DIR, SET) { \ for (i = 0; i < r.neighb[DIR]->size(); i++) { \ int id = rect_find_mergeid((*r.neighb[DIR])[i]); \ if (id == cur_mergeid) \ continue; \ SET.insert(id); \ } \ } INSERT_NEIGHB(RIGHT, right); INSERT_NEIGHB(LEFT, left); INSERT_NEIGHB(UP, up); INSERT_NEIGHB(DOWN, down); } void erase_from_neighb(int id) { right.erase(id); left.erase(id); up.erase(id); down.erase(id); } bool rect_intersect(rect &a, rect &b) { return a.x1 < b.x2 && a.x2 > b.x1 && a.y1 < b.y2 && a.y2 > b.y1; } bool rect_merge_if_intersect(int to, int from) { from = rect_find_mergeid(from); if (R[to].mergeid != to) { ERROR("Target rectangle %d is already merged into %d.", to, R[to].mergeid); } VDEBUG("Try merge %d (%d %d %d %d) to %d (%d %d %d %d).\n", from, R[from].x1, R[from].x2, R[from].y1, R[from].y2, to, R[to].x1, R[to].x2, R[to].y1, R[to].y2); rect &a = R[to]; rect &b = R[from]; if (a.mergeid == b.mergeid) { ERROR("mergeid == %d already merged together!\n", a.mergeid); } if (rect_intersect(a, b)) { if (b.x1 < a.x1) a.x1 = b.x1; if (b.x2 > a.x2) a.x2 = b.x2; if (b.y1 < a.y1) a.y1 = b.y1; if (b.y2 > a.y2) a.y2 = b.y2; b.mergeid = a.mergeid; erase_from_neighb(from); insert_neighb(b); for (int i = 0; i < 4; i++) { delete b.neighb[i]; b.neighb[i] = NULL; } Nret--; VDEBUG("Merged %d to %d.\n", from, to); return true; } return false; } void print_merge_neighb() { #ifdef DEBUGPRINT VDEBUG("merge_neighb: "); for (set<int, xasc>::iterator it = right.begin(); it != right.end(); it++) { VDEBUG(" %d", *it); } VDEBUG("\n"); #endif } void rect_mergeall(int i) { if (rect_find_mergeid(i) != i) return; cur_mergeid = R[i].mergeid; insert_neighb(R[i]); bool merged; do { print_merge_neighb(); merged = false; #define SEARCH(SET, SORT) { \ set<int, SORT>::iterator it = SET.begin(); \ if (it != SET.end()) \ merged |= rect_merge_if_intersect(i, *it); \ } SEARCH(right, xasc); SEARCH(left, xdesc); SEARCH(down, yasc); SEARCH(up, ydesc); global_merged |= merged; } while (merged); /* new neighb after all merges. */ #define REINSERT_NEIGHB(DIR, SET) {\ R[i].neighb[DIR]->clear(); \ R[i].neighb[DIR]->insert(R[i].neighb[DIR]->begin(), SET.begin(), SET.end()); \ SET.clear(); \ } REINSERT_NEIGHB(RIGHT, right); REINSERT_NEIGHB(LEFT, left); REINSERT_NEIGHB(UP, up); REINSERT_NEIGHB(DOWN, down); } //////////////////////////////////////////////////////////// struct seg { int a1, a2, b, id; } horu[MAXN], hord[MAXN], verl[MAXN], verr[MAXN]; bool segcmp_b(const seg &a, const seg &b) { return a.b < b.b; } struct segcmp_a { bool operator()(const seg &a, const seg &b) { return a.a1 < b.a1; } }; set<seg, segcmp_a> sweep; void sweep_step(seg &cur, int dir) { set<seg, segcmp_a>::iterator f; f = sweep.lower_bound(cur); if (f != sweep.begin()) f--; /* All segments on sweep are not intersecting. */ while (f != sweep.end() && f->a1 < cur.a2) { set<seg, segcmp_a>::iterator nextf = f; nextf++; if (f->a2 > cur.a1) { /* intersect. */ R[f->id].neighb[dir]->push_back(cur.id); R[cur.id].neighb[opposite_dir(dir)]->push_back(f->id); VDEBUG("-([%d %d]@%d from rect %d)\n", f->a1, f->a2, f->b, f->id); sweep.erase(f); } f = nextf; } sweep.insert(cur); VDEBUG("+([%d %d]@%d from rect %d)\n", cur.a1, cur.a2, cur.b, cur.id); } //////////////////////////////////////////////////////////// void print_all_neighb() { #ifdef DEBUGPRINT for (int i = 0; i < N; i++) { for (int j = 0; j < 4; j++) { VDEBUG("neighb[%d][%s]: ", i, j == 0 ? "RIGHT" : j == 1 ? "DOWN" : j == 2 ? "LEFT" : "UP"); for(int k = 0; k < R[i].neighb[j]->size(); k++) { VDEBUG(" %d", (*R[i].neighb[j])[k]); } VDEBUG("\n"); } } #endif } void run() { int i, cnt; cnt = 0; for (i = 0; i < N; i++) { if (rect_find_mergeid(i) != i) continue; horu[cnt].a1 = hord[cnt].a1 = R[i].x1; horu[cnt].a2 = hord[cnt].a2 = R[i].x2; horu[cnt].b = R[i].y1; hord[cnt].b = R[i].y2; verl[cnt].a1 = verr[cnt].a2 = R[i].y1; verl[cnt].a2 = verr[cnt].a2 = R[i].y2; verl[cnt].b = R[i].x1; verr[cnt].b = R[i].x2; horu[cnt].id = hord[cnt].id = verl[cnt].id = verr[cnt].id = i; cnt++; } if (cnt != N) { ERROR("Some rectangles already merged: cnt = %d Nret = %d.\n", cnt, Nret); } sort(verl, verl+N, segcmp_b); sort(verr, verr+N, segcmp_b); sort(horu, horu+N, segcmp_b); sort(hord, hord+N, segcmp_b); /* left -> right */ VDEBUG("sweep left->right\n"); sweep.clear(); for (i = 0; i < N; i++) sweep_step(verl[i], RIGHT); print_all_neighb(); /* right -> left */ VDEBUG("sweep right->left\n"); sweep.clear(); for (i = N-1; i >= 0; i--) sweep_step(verr[i], LEFT); print_all_neighb(); /* up -> down */ VDEBUG("sweep up->down\n"); sweep.clear(); for (i = 0; i < N; i++) sweep_step(horu[i], DOWN); print_all_neighb(); /* right -> left */ VDEBUG("sweep down->up\n"); sweep.clear(); for (i = N-1; i >= 0; i--) sweep_step(hord[i], UP); print_all_neighb(); sweep.clear(); /* Merge. */ for (i = 0; i < N; i++) rect_mergeall(i); /* Cleanup */ cnt = 0; for (i = 0; i < N; i++) { int j; for (j = 0; j < 4; j++) { if (R[i].neighb[j] != NULL) { delete R[i].neighb[j]; R[i].neighb[j] = NULL; } } if (R[i].mergeid != i) continue; R[cnt] = R[i]; R[cnt].mergeid = cnt; for (j = 0; j < 4; j++) R[cnt].neighb[j] = new vector<int>(); cnt++; } if (cnt != Nret) { ERROR("cnt != Nret. cnt = %d, Nret = %d\n", cnt, Nret); } N = cnt; } int main() { int i; scanf("%d", &N); for (i = 0; i < N; i++) { scanf("%d %d %d %d", &R[i].x1, &R[i].x2, &R[i].y1, &R[i].y2); R[i].mergeid = i; for (int j = 0; j < 4; j++) R[i].neighb[j] = new vector<int>(); } int num_passes = 0; Nret = N; do { global_merged = false; run(); num_passes++; } while (global_merged /*&& false /* safety net for a bug*/); DEBUG("num_passes=%d %s\n", num_passes, num_passes > 2 ? "> 2" : ""); sort(R, R+N, rectlex); printf("%d\n", N); for (i = 0; i < N; i++) { printf("%d %d %d %d\n", R[i].x1, R[i].x2, R[i].y1, R[i].y2); } return 0; } |