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OI-codes/Luogu/P1402/P1402.cpp

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2022-03-18 13:43:40 +00:00
#include <cstring>
#include <iostream>
#include <queue>
using std::cin;
using std::cout;
const char endl = '\n';
const int N = 1005,
M = 10005;
int n, f, d, flow, ans;
// Graph
int idx, head[N], edge[M << 1], ver[M << 1], next[M << 1];
void add(int u, int v, int w) {
next[idx] = head[u];
ver[idx] = v;
edge[idx] = w;
head[u] = idx++;
}
// Dinic
int dist[N], cur[N];
bool bfs() {
memset(dist, 0x00, sizeof(dist));
std::queue<int> q;
q.push(0);
dist[0] = 1;
cur[0] = head[0];
while (!q.empty()) {
int u = q.front();
q.pop();
for (int i = head[u]; ~i; i = next[i]) {
int v = ver[i],
w = edge[i];
if (w && !dist[v]) {
dist[v] = dist[u] + 1;
cur[v] = head[v];
if (v == n) return true;
q.push(v);
}
}
}
return false;
}
int dinic(int u, int limit) {
if (u == n) return limit;
int flow = 0;
for (int &i = cur[u]; ~i && flow < limit; i = next[i]) {
int v = ver[i],
w = edge[i];
if (dist[v] == dist[u] + 1 && w) {
int k = dinic(v, std::min(w, limit - flow));
if (!k) dist[v] = 0;
edge[i] -= k;
edge[i ^ 1] += k;
flow += k;
}
}
return flow;
}
int main() {
std::ios::sync_with_stdio(false);
memset(head, 0xff, sizeof(head));
cin >> n >> f >> d;
for (int i = 1; i <= f; i++) {
add(0, i, 1);
add(i, 0, 0);
}
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= f; j++) {
int x;
cin >> x;
if (x) {
add(j, f + d + i, 1);
add(f + d + i, j, 0);
}
}
}
for (int i = 1; i <= n; i++) {
add(f + d + i, f + d + n + i, 1);
add(f + d + n + i, f + d + i, 0);
}
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= d; j++) {
int x;
cin >> x;
if (x) {
add(f + d + n + i, f + j, 1);
add(f + j, f + d + n + i, 0);
}
}
}
n = f + d + n * 2 + 1;
for (int i = 1; i <= d; i++) {
add(f + i, n, 1);
add(n, f + i, 0);
}
while (bfs()) {
while (flow = dinic(0, 0x3f3f3f3f)) ans += flow;
}
cout << ans << endl;
return 0;
}