#ifdef __GNUC__ #pragma GCC diagnostic ignored "-Wunused-result" #else #define _CRT_SECURE_NO_WARNINGS #define _SCL_SECURE_NO_WARNINGS #endif #include <cstdlib> #include <ctime> #include <cstdio> #include <cmath> #include <cstring> #include <vector> #include <queue> #include <map> #include <set> #include <list> #include <algorithm> #include <string> #include <iostream> #define FOR(x,y,z) for (int x=(y); x<=(z); ++x) #define FORD(x,y,z) for(int x=(y); x>=(z); --x) #define REP(x,y) for (int x=0; x<(y); ++x) #if defined(__GNUC__) && __cplusplus < 201103L #define FOREACH(y,x) for (typeof((x).begin()) y = (x).begin(); y != (x).end(); ++y) #else #define FOREACH(y,x) for (auto y = (x).begin(); y != (x).end(); ++y) #endif #define ALL(x) (x).begin(),(x).end() #define SIZE(x) ((int)(x).size()) using namespace std; typedef long long LL; typedef unsigned long long ULL; typedef vector<int> VI; typedef vector<VI> VVI; typedef pair<int,int> PII; typedef vector<PII> VPII; const int INF = 1000000001; inline int Pow2(int exp) { return 1 << exp; } template<typename T> inline T Pow2(int exp) { return (T)1 << exp; } int Log2(ULL x, bool ceil) { unsigned long r; #ifdef __GNUC__ r = 63 - __builtin_clzll(x); #else _BitScanReverse64(&r, x); #endif return r + (ceil && x > Pow2<ULL>(r)); } struct Tree { int D; vector<set<int> > d; Tree(int n) : D(Pow2(Log2(n, true))), d(D*2) { } void Insert(int v, int nr); void Erase(int v, int nr); VI Get(int v1, int v2); }; void Tree::Insert(int v, int nr) { int ix = v + D; while (ix != 0) { d[ix].insert(nr); ix /= 2; } } void Tree::Erase(int v, int nr) { int ix = v + D; while (ix != 0) { d[ix].erase(nr); ix /= 2; } } VI Tree::Get(int v1, int v2) { int ix1 = v1 + D; int ix2 = v2 + D; VI res(ALL(d[ix1])); if (ix1 != ix2) { res.insert(res.end(), ALL(d[ix2])); } while (ix1/2 != ix2/2) { if (ix1%2 == 0) { res.insert(res.end(), ALL(d[ix1+1])); } if (ix2%2 == 1) { res.insert(res.end(), ALL(d[ix2-1])); } ix1 /= 2; ix2 /= 2; } sort(ALL(res)); res.erase(unique(ALL(res)), res.end()); return res; } struct IntTree { int D; VI d; IntTree(int n) : D(Pow2(Log2(n, true))), d(D*2) { } void Add(int v1, int v2, int k); bool Any(int v); }; void IntTree::Add(int v1, int v2, int k) { int ix1 = v1 + D; int ix2 = v2 + D; d[ix1] += k; if (ix1 != ix2) d[ix2] += k; while (ix1/2 != ix2/2) { if (ix1%2 == 0) d[ix1+1] += k; if (ix2%2 == 1) d[ix2-1] += k; ix1 /= 2; ix2 /= 2; } } bool IntTree::Any(int v) { int ix = v + D; while (ix != 0) { if (d[ix] != 0) return true; ix /= 2; } return false; } struct Rct { int x1,x2,y1,y2; Rct(int x1, int x2, int y1, int y2) : x1(x1), x2(x2), y1(y1), y2(y2) { } }; bool ByLex(const Rct& rct1, const Rct& rct2) { if (rct1.x1 != rct2.x1) return rct1.x1 < rct2.x1; if (rct1.x2 != rct2.x2) return rct1.x2 < rct2.x2; if (rct1.y1 != rct2.y1) return rct1.y1 < rct2.y1; return rct1.y2 < rct2.y2; } bool ByX1(const Rct& rct1, const Rct& rct2) { return rct1.x1 < rct2.x1; } bool ByX2Dec(const Rct& rct1, const Rct& rct2) { return rct1.x2 > rct2.x2; } bool ByY1(const Rct& rct1, const Rct& rct2) { return rct1.y1 < rct2.y1; } bool ByY2Dec(const Rct& rct1, const Rct& rct2) { return rct1.y2 > rct2.y2; } struct Ev { int x,nr; bool bgn; Ev(int x, int nr, bool bgn) : x(x), nr(nr), bgn(bgn) { } }; bool ByXInc(const Ev& ev1, const Ev& ev2) { if (ev1.x != ev2.x) return ev1.x < ev2.x; return ev1.bgn > ev2.bgn; } bool ByXDec(const Ev& ev1, const Ev& ev2) { if (ev1.x != ev2.x) return ev1.x > ev2.x; return ev1.bgn > ev2.bgn; } struct Problem { int n,W,H; vector<Rct> rcts; vector<bool> del; Problem(int n) : n(n), del(n) { } vector<Rct> Go(); bool SweepX1(); bool SweepX2(); bool SweepY1(); bool SweepY2(); bool SweepImpl(const vector<Ev>& evs, bool inc); void SwapXY(); void ElimCont(); }; vector<Rct> Problem::Go() { while (1) { bool any = false; any |= SweepX1(); any |= SweepX2(); any |= SweepY1(); any |= SweepY2(); if (!any) break; } ElimCont(); vector<Rct> res; REP(i,n) { if (!del[i]) res.push_back(rcts[i]); } return res; } bool Problem::SweepX1() { vector<Ev> evs; REP(i,n) { if (del[i]) continue; evs.push_back(Ev(rcts[i].x1*2+1, i, true)); evs.push_back(Ev(rcts[i].x2*2-1, i, false)); } sort(ALL(evs), ByXInc); return SweepImpl(evs, true); } bool Problem::SweepX2() { vector<Ev> evs; REP(i,n) { if (del[i]) continue; evs.push_back(Ev(rcts[i].x1*2+1, i, false)); evs.push_back(Ev(rcts[i].x2*2-1, i, true)); } sort(ALL(evs), ByXDec); return SweepImpl(evs, false); } bool Problem::SweepY1() { SwapXY(); bool res = SweepX1(); SwapXY(); return res; } bool Problem::SweepY2() { SwapXY(); bool res = SweepX2(); SwapXY(); return res; } void Problem::SwapXY() { REP(i,n) { if (del[i]) continue; swap(rcts[i].x1, rcts[i].y1); swap(rcts[i].x2, rcts[i].y2); } swap(W, H); } bool Problem::SweepImpl(const vector<Ev>& evs, bool inc) { bool res = false; Tree tree(2*H); FOREACH(it1,evs) { if (del[it1->nr]) continue; Rct rct = rcts[it1->nr]; bool ins = it1->bgn; if (!it1->bgn) { tree.Erase(rct.y1*2+1, it1->nr); tree.Erase(rct.y2*2-1, it1->nr); } VI r = tree.Get(rct.y1*2+1, rct.y2*2-1); del[it1->nr] = true; int nr = it1->nr; FOREACH(it2,r) { if (inc && rcts[*it2].x2 >= rct.x2) nr = *it2; else if (!inc && rcts[*it2].x1 <= rct.x1) nr = *it2; rct.x1 = min(rct.x1, rcts[*it2].x1); rct.x2 = max(rct.x2, rcts[*it2].x2); rct.y1 = min(rct.y1, rcts[*it2].y1); rct.y2 = max(rct.y2, rcts[*it2].y2); del[*it2] = true; tree.Erase(rcts[*it2].y1*2+1, *it2); tree.Erase(rcts[*it2].y2*2-1, *it2); ins = true; res = true; } rcts[nr] = rct; del[nr] = false; if (ins) { tree.Insert(rct.y1*2+1, nr); tree.Insert(rct.y2*2-1, nr); } } return res; } struct ECEv { int x,y1,nr; bool bgn; ECEv(int x, int y1, int nr, bool bgn) : x(x), y1(y1), nr(nr), bgn(bgn) { } }; bool operator<(const ECEv& ev1, const ECEv& ev2) { if (ev1.x != ev2.x) return ev1.x < ev2.x; if (ev1.bgn != ev2.bgn) return ev1.bgn > ev2.bgn; return ev1.y1 < ev2.y1; } void Problem::ElimCont() { vector<ECEv> evs; REP(i,n) { if (del[i]) continue; evs.push_back(ECEv(rcts[i].x1*2+1, rcts[i].y1*2+1, i, true)); evs.push_back(ECEv(rcts[i].x2*2-1, rcts[i].y1*2+1, i, false)); } sort(ALL(evs)); IntTree tree(2*H); FOREACH(it,evs) { Rct rct = rcts[it->nr]; if (it->bgn) { if (tree.Any(it->y1)) del[it->nr] = true; else tree.Add(rct.y1*2+1, rct.y2*2-1, 1); } else if (!del[it->nr]) tree.Add(rct.y1*2+1, rct.y2*2-1, -1); } } int main(int argc, char** argv) { int n; scanf("%d", &n); Problem p(n); REP(i,n) { int x1,x2,y1,y2; scanf("%d%d%d%d", &x1, &x2, &y1, &y2); p.rcts.push_back(Rct(x1,x2,y1,y2)); } VI xs(2*n), ys(2*n); REP(i,n) { xs[2*i] = p.rcts[i].x1; xs[2*i+1] = p.rcts[i].x2; ys[2*i] = p.rcts[i].y1; ys[2*i+1] = p.rcts[i].y2; } sort(ALL(xs)); xs.erase(unique(ALL(xs)), xs.end()); p.W = SIZE(xs); sort(ALL(ys)); ys.erase(unique(ALL(ys)), ys.end()); p.H = SIZE(ys); REP(i,n) { p.rcts[i].x1 = lower_bound(ALL(xs), p.rcts[i].x1) - xs.begin(); p.rcts[i].x2 = lower_bound(ALL(xs), p.rcts[i].x2) - xs.begin(); p.rcts[i].y1 = lower_bound(ALL(ys), p.rcts[i].y1) - ys.begin(); p.rcts[i].y2 = lower_bound(ALL(ys), p.rcts[i].y2) - ys.begin(); } vector<Rct> res = p.Go(); sort(ALL(res), ByLex); printf("%d\n", SIZE(res)); FOREACH(it,res) printf("%d %d %d %d\n", xs[it->x1], xs[it->x2], ys[it->y1], ys[it->y2]); #ifdef _DEBUG system("pause"); #endif 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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 | #ifdef __GNUC__ #pragma GCC diagnostic ignored "-Wunused-result" #else #define _CRT_SECURE_NO_WARNINGS #define _SCL_SECURE_NO_WARNINGS #endif #include <cstdlib> #include <ctime> #include <cstdio> #include <cmath> #include <cstring> #include <vector> #include <queue> #include <map> #include <set> #include <list> #include <algorithm> #include <string> #include <iostream> #define FOR(x,y,z) for (int x=(y); x<=(z); ++x) #define FORD(x,y,z) for(int x=(y); x>=(z); --x) #define REP(x,y) for (int x=0; x<(y); ++x) #if defined(__GNUC__) && __cplusplus < 201103L #define FOREACH(y,x) for (typeof((x).begin()) y = (x).begin(); y != (x).end(); ++y) #else #define FOREACH(y,x) for (auto y = (x).begin(); y != (x).end(); ++y) #endif #define ALL(x) (x).begin(),(x).end() #define SIZE(x) ((int)(x).size()) using namespace std; typedef long long LL; typedef unsigned long long ULL; typedef vector<int> VI; typedef vector<VI> VVI; typedef pair<int,int> PII; typedef vector<PII> VPII; const int INF = 1000000001; inline int Pow2(int exp) { return 1 << exp; } template<typename T> inline T Pow2(int exp) { return (T)1 << exp; } int Log2(ULL x, bool ceil) { unsigned long r; #ifdef __GNUC__ r = 63 - __builtin_clzll(x); #else _BitScanReverse64(&r, x); #endif return r + (ceil && x > Pow2<ULL>(r)); } struct Tree { int D; vector<set<int> > d; Tree(int n) : D(Pow2(Log2(n, true))), d(D*2) { } void Insert(int v, int nr); void Erase(int v, int nr); VI Get(int v1, int v2); }; void Tree::Insert(int v, int nr) { int ix = v + D; while (ix != 0) { d[ix].insert(nr); ix /= 2; } } void Tree::Erase(int v, int nr) { int ix = v + D; while (ix != 0) { d[ix].erase(nr); ix /= 2; } } VI Tree::Get(int v1, int v2) { int ix1 = v1 + D; int ix2 = v2 + D; VI res(ALL(d[ix1])); if (ix1 != ix2) { res.insert(res.end(), ALL(d[ix2])); } while (ix1/2 != ix2/2) { if (ix1%2 == 0) { res.insert(res.end(), ALL(d[ix1+1])); } if (ix2%2 == 1) { res.insert(res.end(), ALL(d[ix2-1])); } ix1 /= 2; ix2 /= 2; } sort(ALL(res)); res.erase(unique(ALL(res)), res.end()); return res; } struct IntTree { int D; VI d; IntTree(int n) : D(Pow2(Log2(n, true))), d(D*2) { } void Add(int v1, int v2, int k); bool Any(int v); }; void IntTree::Add(int v1, int v2, int k) { int ix1 = v1 + D; int ix2 = v2 + D; d[ix1] += k; if (ix1 != ix2) d[ix2] += k; while (ix1/2 != ix2/2) { if (ix1%2 == 0) d[ix1+1] += k; if (ix2%2 == 1) d[ix2-1] += k; ix1 /= 2; ix2 /= 2; } } bool IntTree::Any(int v) { int ix = v + D; while (ix != 0) { if (d[ix] != 0) return true; ix /= 2; } return false; } struct Rct { int x1,x2,y1,y2; Rct(int x1, int x2, int y1, int y2) : x1(x1), x2(x2), y1(y1), y2(y2) { } }; bool ByLex(const Rct& rct1, const Rct& rct2) { if (rct1.x1 != rct2.x1) return rct1.x1 < rct2.x1; if (rct1.x2 != rct2.x2) return rct1.x2 < rct2.x2; if (rct1.y1 != rct2.y1) return rct1.y1 < rct2.y1; return rct1.y2 < rct2.y2; } bool ByX1(const Rct& rct1, const Rct& rct2) { return rct1.x1 < rct2.x1; } bool ByX2Dec(const Rct& rct1, const Rct& rct2) { return rct1.x2 > rct2.x2; } bool ByY1(const Rct& rct1, const Rct& rct2) { return rct1.y1 < rct2.y1; } bool ByY2Dec(const Rct& rct1, const Rct& rct2) { return rct1.y2 > rct2.y2; } struct Ev { int x,nr; bool bgn; Ev(int x, int nr, bool bgn) : x(x), nr(nr), bgn(bgn) { } }; bool ByXInc(const Ev& ev1, const Ev& ev2) { if (ev1.x != ev2.x) return ev1.x < ev2.x; return ev1.bgn > ev2.bgn; } bool ByXDec(const Ev& ev1, const Ev& ev2) { if (ev1.x != ev2.x) return ev1.x > ev2.x; return ev1.bgn > ev2.bgn; } struct Problem { int n,W,H; vector<Rct> rcts; vector<bool> del; Problem(int n) : n(n), del(n) { } vector<Rct> Go(); bool SweepX1(); bool SweepX2(); bool SweepY1(); bool SweepY2(); bool SweepImpl(const vector<Ev>& evs, bool inc); void SwapXY(); void ElimCont(); }; vector<Rct> Problem::Go() { while (1) { bool any = false; any |= SweepX1(); any |= SweepX2(); any |= SweepY1(); any |= SweepY2(); if (!any) break; } ElimCont(); vector<Rct> res; REP(i,n) { if (!del[i]) res.push_back(rcts[i]); } return res; } bool Problem::SweepX1() { vector<Ev> evs; REP(i,n) { if (del[i]) continue; evs.push_back(Ev(rcts[i].x1*2+1, i, true)); evs.push_back(Ev(rcts[i].x2*2-1, i, false)); } sort(ALL(evs), ByXInc); return SweepImpl(evs, true); } bool Problem::SweepX2() { vector<Ev> evs; REP(i,n) { if (del[i]) continue; evs.push_back(Ev(rcts[i].x1*2+1, i, false)); evs.push_back(Ev(rcts[i].x2*2-1, i, true)); } sort(ALL(evs), ByXDec); return SweepImpl(evs, false); } bool Problem::SweepY1() { SwapXY(); bool res = SweepX1(); SwapXY(); return res; } bool Problem::SweepY2() { SwapXY(); bool res = SweepX2(); SwapXY(); return res; } void Problem::SwapXY() { REP(i,n) { if (del[i]) continue; swap(rcts[i].x1, rcts[i].y1); swap(rcts[i].x2, rcts[i].y2); } swap(W, H); } bool Problem::SweepImpl(const vector<Ev>& evs, bool inc) { bool res = false; Tree tree(2*H); FOREACH(it1,evs) { if (del[it1->nr]) continue; Rct rct = rcts[it1->nr]; bool ins = it1->bgn; if (!it1->bgn) { tree.Erase(rct.y1*2+1, it1->nr); tree.Erase(rct.y2*2-1, it1->nr); } VI r = tree.Get(rct.y1*2+1, rct.y2*2-1); del[it1->nr] = true; int nr = it1->nr; FOREACH(it2,r) { if (inc && rcts[*it2].x2 >= rct.x2) nr = *it2; else if (!inc && rcts[*it2].x1 <= rct.x1) nr = *it2; rct.x1 = min(rct.x1, rcts[*it2].x1); rct.x2 = max(rct.x2, rcts[*it2].x2); rct.y1 = min(rct.y1, rcts[*it2].y1); rct.y2 = max(rct.y2, rcts[*it2].y2); del[*it2] = true; tree.Erase(rcts[*it2].y1*2+1, *it2); tree.Erase(rcts[*it2].y2*2-1, *it2); ins = true; res = true; } rcts[nr] = rct; del[nr] = false; if (ins) { tree.Insert(rct.y1*2+1, nr); tree.Insert(rct.y2*2-1, nr); } } return res; } struct ECEv { int x,y1,nr; bool bgn; ECEv(int x, int y1, int nr, bool bgn) : x(x), y1(y1), nr(nr), bgn(bgn) { } }; bool operator<(const ECEv& ev1, const ECEv& ev2) { if (ev1.x != ev2.x) return ev1.x < ev2.x; if (ev1.bgn != ev2.bgn) return ev1.bgn > ev2.bgn; return ev1.y1 < ev2.y1; } void Problem::ElimCont() { vector<ECEv> evs; REP(i,n) { if (del[i]) continue; evs.push_back(ECEv(rcts[i].x1*2+1, rcts[i].y1*2+1, i, true)); evs.push_back(ECEv(rcts[i].x2*2-1, rcts[i].y1*2+1, i, false)); } sort(ALL(evs)); IntTree tree(2*H); FOREACH(it,evs) { Rct rct = rcts[it->nr]; if (it->bgn) { if (tree.Any(it->y1)) del[it->nr] = true; else tree.Add(rct.y1*2+1, rct.y2*2-1, 1); } else if (!del[it->nr]) tree.Add(rct.y1*2+1, rct.y2*2-1, -1); } } int main(int argc, char** argv) { int n; scanf("%d", &n); Problem p(n); REP(i,n) { int x1,x2,y1,y2; scanf("%d%d%d%d", &x1, &x2, &y1, &y2); p.rcts.push_back(Rct(x1,x2,y1,y2)); } VI xs(2*n), ys(2*n); REP(i,n) { xs[2*i] = p.rcts[i].x1; xs[2*i+1] = p.rcts[i].x2; ys[2*i] = p.rcts[i].y1; ys[2*i+1] = p.rcts[i].y2; } sort(ALL(xs)); xs.erase(unique(ALL(xs)), xs.end()); p.W = SIZE(xs); sort(ALL(ys)); ys.erase(unique(ALL(ys)), ys.end()); p.H = SIZE(ys); REP(i,n) { p.rcts[i].x1 = lower_bound(ALL(xs), p.rcts[i].x1) - xs.begin(); p.rcts[i].x2 = lower_bound(ALL(xs), p.rcts[i].x2) - xs.begin(); p.rcts[i].y1 = lower_bound(ALL(ys), p.rcts[i].y1) - ys.begin(); p.rcts[i].y2 = lower_bound(ALL(ys), p.rcts[i].y2) - ys.begin(); } vector<Rct> res = p.Go(); sort(ALL(res), ByLex); printf("%d\n", SIZE(res)); FOREACH(it,res) printf("%d %d %d %d\n", xs[it->x1], xs[it->x2], ys[it->y1], ys[it->y2]); #ifdef _DEBUG system("pause"); #endif return 0; } |