二分图多重匹配问题

二分图多重匹配问题
#include <iostream>
#include <cstdio>
#include <cstring>
#include <vector>
using namespace std;

const int maxn = 100005;
const int maxm = 15;

int cap[maxm];
int Link[maxm][maxn];
int vLink[maxm];
int mat[maxn][maxm];
int vis[maxm];
int n, m;
bool Find(int u) {
    for(int i = 1; i <= m; i++) {
        if(!vis[i] && mat[u][i]) {
            int v = i;
            vis[v] = 1;
            if(vLink[v] < cap[v]) {
                Link[v][vLink[v]++] = u;
                return true;
            }
            for(int j = 0; j < vLink[v]; j++) {
                if(Find(Link[v][j])) {
                    Link[v][j] = u;
                    return true;
                }
            }
        }
    }
    return false;
}

bool solve() {
    memset(Link, 0, sizeof(Link));
    memset(vLink, 0, sizeof(vLink));
    for(int i = 1; i <= n; i++) {
        memset(vis, 0, sizeof(vis));
        if(!Find(i)) return false;
    }
    return true;
}

int main() {
    while(EOF != scanf("%d %d",&n, &m)) {
        for(int i = 1; i <= n; i++) {
            for(int j = 1; j <= m; j++) {
                scanf("%d",&mat[i][j]);
            }
        }
        for(int i = 1; i <= m; i++) {
            scanf("%d",&cap[i]);
        }
        if(solve()) puts("YES");
        else puts("NO");
    }
    return 0;
}
原文地址:https://www.cnblogs.com/13224ACMer/p/4665534.html