二分图匹配,匈牙利算法


#include <cstdio>
#include <cstdlib>
#include <cstring>
using namespace std;
#define maxn 505
int uN, vN;
bool g[maxn][maxn];
int xM[maxn], yM[maxn];
bool chk[maxn];
int n, p;
void input()
{
int a, m;
memset(g, 0, sizeof(g));
for (int i = 0; i < p; i++)
{
scanf("%d", &m);
for (int j = 0; j < m; j++)
{
scanf("%d", &a);
a--;
g[i][a] = true;
}
}
}
bool SearchPath(int u)
{
int v;
for (v = 0; v < vN; v++)
if (g[u][v] && !chk[v])
{
chk[v] = true;
if (yM[v] == -1 || SearchPath(yM[v]))
{
yM[v] = u;
xM[u] = v;
return true;
}
}
return false;
}
int MaxMatch()
{
int u, ret = 0;
memset(xM, -1, sizeof(xM));
memset(yM, -1, sizeof(yM));
for (u = 0; u < uN; u++)
if (xM[u] == -1)
{
memset(chk, false, sizeof(chk));
if (SearchPath(u))
ret++;
}
return ret;
}
int main()
{
//freopen("t.txt", "r", stdin);
int t;
scanf("%d", &t);
while (t--)
{
scanf("%d%d", &p, &n);
input();
uN = p;
vN = n;
int ans = MaxMatch();
if (ans == p)
printf("YES\n");
else
printf("NO\n");
}
return 0;
}