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题目链接: http://acm.hdu.edu.cn/showproblem.php?pid=3605

多重匹配

代码:

#include <iostream>  
#include <algorithm>  
#include <set>  
#include <map>  
#include <string.h>  
#include <queue>  
#include <sstream>  
#include <stdio.h>  
#include <math.h>  
#include <stdlib.h>  
#include <string>

using namespace std;

const int MAXN = 101000;//左点数
const int MAXM = 12;//右
int un, vn;

int g[MAXN][MAXM];
int linker[MAXM][MAXN];
bool used[MAXM];
int num[MAXM];

bool dfs(int u)
{
    for (int v = 0;v < vn;v++)
    {
        if (g[u][v] && !used[v])
        {
            used[v] = true;
            if (linker[v][0] < num[v])
            {
                linker[v][++linker[v][0]] = u;
                return true;
            }
            for (int i = 1;i <= num[v];i++)
            {
                if (dfs(linker[v][i]))
                {
                    linker[v][i] = u;
                    return true;
                }
            }
        }
    }
    return false;
}

bool hungry()
{
    int res = 0;
    for (int i = 0;i < vn;i++)
        linker[i][0] = 0;
    for (int i = 0;i < un;i++)
    {
        memset(used, false, sizeof(used));
        if (!dfs(i)) return false;
    }
    return true;
}

int main()
{
    while (scanf("%d%d", &un, &vn) != EOF)
    {
        memset(g, 0, sizeof(g));
        memset(num, 0, sizeof(num));
        memset(linker,0,sizeof(linker));

        for (int i = 0;i < un;i++)
            for (int j = 0;j < vn;j++)
                scanf("%d", &g[i][j]);
        for (int i = 0;i < vn;i++)
            scanf("%d", &num[i]);
        if (hungry()) puts("YES");
        else puts("NO");
    }
    return 0;
}