// Karol Kosinski 2020 #include <cstdio> #include <list> #include <queue> #define FOR(i,a,b) for(int i=(a);i<(b);++i) #define FORE(i,q) for(auto i=(q).begin();i!=(q).end();++i) //#define DEBUG(x...) printf(x) #define DEBUG(x...) using namespace std; typedef unsigned long long LL; const int NX = 205; const int LEN = 64; LL Bits[LEN + 1][LEN + 1]; LL A[NX][ NX / LEN + 1]; int Code[NX][NX]; void preproc() { FOR(i,0,LEN) { Bits[i][i] = (1LL << i); FOR(j,i+1,LEN) { Bits[i][j] = Bits[i][ j - 1 ] | (1LL << j); } } } void print_bits(int n, int nlen) { FOR(i,0,n) { FOR(j,0,nlen) FOR(k,0,LEN) { DEBUG("%d", (A[i][j] & (1LL << k)) != 0); } DEBUG("\n"); } DEBUG("\n"); } //////////////////////////////////////////////////////// int n1, n2, res; list<int> G[NX * NX]; queue<int> Q; int D[NX * NX], M[NX * NX]; bool was[NX * NX]; bool bfs() { bool good = false; FOR(i,1,n1+1) if(M[i] != 0) D[i] = -1; else Q.push(i), D[i] = 0; FOR(i,n1+1,n2+1) D[i] = -1; int limit = 1234567890; while(!Q.empty()) { int u = Q.front(); Q.pop(); if(limit < D[u]) break; FORE(i,G[u]) { if(*i <= n1 || D[*i] != -1) continue; D[*i] = D[u] + 1; if(M[*i] == 0) limit = D[*i], good = true; else if(D[M[*i]] == -1) { D[M[*i]] = D[u] + 2; Q.push(M[*i]); } } } while(!Q.empty()) Q.pop(); return good; } bool dfs(int s) { was[s] = true; FORE(i,G[s]) { if(was[*i] || D[*i] != D[s] + 1) continue; was[*i] = true; if(M[*i] == 0 || (!was[M[*i]] && dfs(M[*i]))) { M[s] = *i, M[*i] = s; return true; } } return false; } void hopcroft_karp() { FOR(i,1,n2+1) M[i] = 0; while(bfs()) { FOR(i,1,n2+1) was[i] = false; FOR(i,1,n1+1) if(M[i] == 0) dfs(i); } FOR(i,1,n2+1) G[i].clear(); while(!Q.empty()) Q.pop(); FOR(i,1,n1+1) { if(D[i] == -1) ++res; DEBUG("%d(%d) ", i , D[i]); } FOR(i,n1+1,n2+1) { if(D[i] > -1) ++res; DEBUG("%d(%d) ", i , D[i]); } DEBUG("\n"); } //////////////////////////////////////////////////////// void print_graph(int n) { FOR(i,1,n*n+1) { DEBUG("** (%d)\n", i); for (int v : G[i]) DEBUG("%d ", v); DEBUG("\n"); } DEBUG("\n"); } void prepare_graph(int n, int nlen) { int down = 0, up = n * n + 1; FOR(i,0,n) { FOR(j,0,nlen) { int lim = (j == nlen - 1) ? n % LEN : LEN; FOR(k,0,lim) { if ((A[i][j] & (1LL << k)) != 0) { Code[i][ j * LEN + k ] = ++down; DEBUG("%4d", down); } else { Code[i][ j * LEN + k ] = --up; DEBUG("%4d", up); } } } DEBUG("\n"); } n1 = down, n2 = n * n; FOR(i,0,n) FOR(j,0,n) { if (Code[i][j] > n1) continue; int b = Code[i][j]; auto& g = G[b]; FOR(k,0,n) { int c = Code[k][j]; if (k != i && c > n1) { g.push_back(c); G[c].push_back(b); } int d = Code[i][k]; if (k != j && d > n1) { g.push_back(d); G[d].push_back(b); } } } DEBUG("-- %d %d\n\n", n1, n2); } int main() { int n, m, q; scanf("%d%d%d", &n, &m, &q); preproc(); int nlen = n / LEN + int(n % LEN != 0); FOR(_,0,m) { int x1, y1, x2, y2; scanf("%d%d%d%d", &x1, &y1, &x2, &y2); --x1, --y1, --y2; int yd1 = y1 / LEN, yd2 = y2 / LEN; int ym1 = y1 % LEN, ym2 = y2 % LEN; if (yd1 == yd2) { FOR(i,x1,x2) A[i][yd1] ^= Bits[ym1][ym2]; DEBUG("[%d, %d] %llx\n", ym1, ym2, Bits[ym1][ym2]); } else { FOR(i,x1,x2) { A[i][yd1] ^= Bits[ym1][ LEN - 1 ]; FOR(j, yd1 + 1, yd2) A[i][j] ^= Bits[0][ LEN - 1 ]; A[i][yd2] ^= Bits[0][ym2]; } } //print_bits(n, nlen); // DEBUG } //print_graph(n); // DEBUG prepare_graph(n, nlen); hopcroft_karp(); printf("%d\n", res); FOR(_,0,q) { int a, b; scanf("%d%d", &a, &b); --a, --b; A[a][b / LEN] ^= (1LL << (b % LEN)); res = 0; prepare_graph(n, nlen); hopcroft_karp(); printf("%d\n", res); } 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 | // Karol Kosinski 2020 #include <cstdio> #include <list> #include <queue> #define FOR(i,a,b) for(int i=(a);i<(b);++i) #define FORE(i,q) for(auto i=(q).begin();i!=(q).end();++i) //#define DEBUG(x...) printf(x) #define DEBUG(x...) using namespace std; typedef unsigned long long LL; const int NX = 205; const int LEN = 64; LL Bits[LEN + 1][LEN + 1]; LL A[NX][ NX / LEN + 1]; int Code[NX][NX]; void preproc() { FOR(i,0,LEN) { Bits[i][i] = (1LL << i); FOR(j,i+1,LEN) { Bits[i][j] = Bits[i][ j - 1 ] | (1LL << j); } } } void print_bits(int n, int nlen) { FOR(i,0,n) { FOR(j,0,nlen) FOR(k,0,LEN) { DEBUG("%d", (A[i][j] & (1LL << k)) != 0); } DEBUG("\n"); } DEBUG("\n"); } //////////////////////////////////////////////////////// int n1, n2, res; list<int> G[NX * NX]; queue<int> Q; int D[NX * NX], M[NX * NX]; bool was[NX * NX]; bool bfs() { bool good = false; FOR(i,1,n1+1) if(M[i] != 0) D[i] = -1; else Q.push(i), D[i] = 0; FOR(i,n1+1,n2+1) D[i] = -1; int limit = 1234567890; while(!Q.empty()) { int u = Q.front(); Q.pop(); if(limit < D[u]) break; FORE(i,G[u]) { if(*i <= n1 || D[*i] != -1) continue; D[*i] = D[u] + 1; if(M[*i] == 0) limit = D[*i], good = true; else if(D[M[*i]] == -1) { D[M[*i]] = D[u] + 2; Q.push(M[*i]); } } } while(!Q.empty()) Q.pop(); return good; } bool dfs(int s) { was[s] = true; FORE(i,G[s]) { if(was[*i] || D[*i] != D[s] + 1) continue; was[*i] = true; if(M[*i] == 0 || (!was[M[*i]] && dfs(M[*i]))) { M[s] = *i, M[*i] = s; return true; } } return false; } void hopcroft_karp() { FOR(i,1,n2+1) M[i] = 0; while(bfs()) { FOR(i,1,n2+1) was[i] = false; FOR(i,1,n1+1) if(M[i] == 0) dfs(i); } FOR(i,1,n2+1) G[i].clear(); while(!Q.empty()) Q.pop(); FOR(i,1,n1+1) { if(D[i] == -1) ++res; DEBUG("%d(%d) ", i , D[i]); } FOR(i,n1+1,n2+1) { if(D[i] > -1) ++res; DEBUG("%d(%d) ", i , D[i]); } DEBUG("\n"); } //////////////////////////////////////////////////////// void print_graph(int n) { FOR(i,1,n*n+1) { DEBUG("** (%d)\n", i); for (int v : G[i]) DEBUG("%d ", v); DEBUG("\n"); } DEBUG("\n"); } void prepare_graph(int n, int nlen) { int down = 0, up = n * n + 1; FOR(i,0,n) { FOR(j,0,nlen) { int lim = (j == nlen - 1) ? n % LEN : LEN; FOR(k,0,lim) { if ((A[i][j] & (1LL << k)) != 0) { Code[i][ j * LEN + k ] = ++down; DEBUG("%4d", down); } else { Code[i][ j * LEN + k ] = --up; DEBUG("%4d", up); } } } DEBUG("\n"); } n1 = down, n2 = n * n; FOR(i,0,n) FOR(j,0,n) { if (Code[i][j] > n1) continue; int b = Code[i][j]; auto& g = G[b]; FOR(k,0,n) { int c = Code[k][j]; if (k != i && c > n1) { g.push_back(c); G[c].push_back(b); } int d = Code[i][k]; if (k != j && d > n1) { g.push_back(d); G[d].push_back(b); } } } DEBUG("-- %d %d\n\n", n1, n2); } int main() { int n, m, q; scanf("%d%d%d", &n, &m, &q); preproc(); int nlen = n / LEN + int(n % LEN != 0); FOR(_,0,m) { int x1, y1, x2, y2; scanf("%d%d%d%d", &x1, &y1, &x2, &y2); --x1, --y1, --y2; int yd1 = y1 / LEN, yd2 = y2 / LEN; int ym1 = y1 % LEN, ym2 = y2 % LEN; if (yd1 == yd2) { FOR(i,x1,x2) A[i][yd1] ^= Bits[ym1][ym2]; DEBUG("[%d, %d] %llx\n", ym1, ym2, Bits[ym1][ym2]); } else { FOR(i,x1,x2) { A[i][yd1] ^= Bits[ym1][ LEN - 1 ]; FOR(j, yd1 + 1, yd2) A[i][j] ^= Bits[0][ LEN - 1 ]; A[i][yd2] ^= Bits[0][ym2]; } } //print_bits(n, nlen); // DEBUG } //print_graph(n); // DEBUG prepare_graph(n, nlen); hopcroft_karp(); printf("%d\n", res); FOR(_,0,q) { int a, b; scanf("%d%d", &a, &b); --a, --b; A[a][b / LEN] ^= (1LL << (b % LEN)); res = 0; prepare_graph(n, nlen); hopcroft_karp(); printf("%d\n", res); } return 0; } |