http://acm.hdu.edu.cn/showproblem.php?pid=1083
题意:有p门的课,每门课都有若干学生,现在要为每个课程分配一名课代表,每个学生只能担任一门课的课代表,如果每个课都能找到课代表,则输出"YES",否则"NO"。
题解:二分图匹配
/*
*@Author: STZG
*@Language: C++
*/
#include <bits/stdc++.h>
#include<iostream>
#include<algorithm>
#include<cstdlib>
#include<cstring>
#include<cstdio>
#include<string>
#include<vector>
#include<bitset>
#include<queue>
#include<deque>
#include<stack>
#include<cmath>
#include<list>
#include<map>
#include<set>
//#define DEBUG
#define RI register int
#define endl "\n"
using namespace std;
typedef long long ll;
//typedef __int128 lll;
const int N=1000+10;
const int M=100000+10;
const int MOD=1e9+7;
const double PI = acos(-1.0);
const double EXP = 1E-8;
const int INF = 0x3f3f3f3f;
int t,n,m,k,p,l,r,u,v;
int ans,cnt,flag,temp,sum;
int mp[N][N];
bool vis[N];
int match[N];
char str;
struct node{};
bool dfs(int u){//cout<<u<<endl;
for(int i=1;i<=n;i++){
if(vis[i]==0&&mp[u][i]){
vis[i]=1;
if(match[i]==-1||dfs(match[i])){
match[i]=u;
return 1;
}
}
}
return 0;
}
void maxmatch(){
for(int i=1;i<=p;i++){
memset(vis,0,sizeof(vis));
if(!dfs(i))
break;
ans++;
}
}
void init(){
memset(mp,0,sizeof(mp));
memset(match,-1,sizeof(match));
ans=0;
}
int main()
{
#ifdef DEBUG
freopen("input.in", "r", stdin);
//freopen("output.out", "w", stdout);
#endif
//ios::sync_with_stdio(false);
//cin.tie(0);
//cout.tie(0);
scanf("%d",&t);
while(t--){
scanf("%d%d",&p,&n);
init();
for(int i=1;i<=p;i++){
scanf("%d",&k);
for(int j=1;j<=k;j++){
scanf("%d",&v);
mp[i][v]=1;
}
}
maxmatch();
//cout<<ans<<endl;
if(ans==p){
cout<<"YES"<<endl;
}else{
cout<<"NO"<<endl;
}
}
#ifdef DEBUG
printf("Time cost : %lf s\n",(double)clock()/CLOCKS_PER_SEC);
#endif
//cout << "Hello world!" << endl;
return 0;
}