POJ 1469 COURSES（二分图模板题）

Consider a group of N students and P courses. Each student visits zero, one or more than one courses. Your task is to determine whether it is possible to form a committee of exactly P students that satisfies simultaneously the conditions:

. every student in the committee represents a different course (a student can represent a course if he/she visits that course)

. each course has a representative in the committee

Your program should read sets of data from a text file. The first line of the input file contains the number of the data sets. Each data set is presented in the following format:

P N
Count1 Student1 1 Student1 2 ... Student1 Count1
Count2 Student2 1 Student2 2 ... Student2 Count2
......
CountP StudentP 1 StudentP 2 ... StudentP CountP

The first line in each data set contains two positive integers separated by one blank: P (1 <= P <= 100) - the number of courses and N (1 <= N <= 300) - the number of students. The next P lines describe in sequence of the courses . from course 1 to course P, each line describing a course. The description of course i is a line that starts with an integer Count i (0 <= Count i <= N) representing the number of students visiting course i. Next, after a blank, you'll find the Count i students, visiting the course, each two consecutive separated by one blank. Students are numbered with the positive integers from 1 to N.

There are no blank lines between consecutive sets of data. Input data are correct.

The result of the program is on the standard output. For each input data set the program prints on a single line "YES" if it is possible to form a committee and "NO" otherwise. There should not be any leading blanks at the start of the line.

An example of program input and output:Input

2
3 3
3 1 2 3
2 1 2
1 1
3 3
2 1 3
2 1 3
1 1

Output

YES
NO 

二分图模板题，让所有课程都有不同的课代表，就建好图后，看二分图的最大匹配数是否等于课程数即可

#include <iostream>
#include <cstdio>
#include <fstream>
#include <algorithm>
#include <cmath>
#include <deque>
#include <vector>
#include <queue>
#include <string>
#include <cstring>
#include <map>
#include <stack>
#include <set>
#define Max(a,b) a>b?a:b
#define Min(a,b) a>b?b:a
using namespace std;
typedef long long ll;
int dir[4][2]= {{1,0},{-1,0},{0,1},{0,-1}};
const double eps = 1e-6;
const double Pi = acos(-1.0);
const int INF=0x3f3f3f3f;

int mp[105][305];//存储课程与学生的关系

int use[305];    // 此次匹配中是否已经匹配
int stru[305];    // 存储学生担任哪门课程课代表
int n, m;

bool find(int x)
{
    for(int j=1; j<=m; j++)
    {
        if(mp[x][j] && !use[j]) //学生与课程有关系 且 没有被标记
        {
            use[j] = 1;
            if(!stru[j] || find(stru[j]))
            {
                stru[j] = x;
                return true;
            }
        }
    }
    return false;
}

int main()
{
    int t,k,x,ans;
    scanf("%d",&t);
    while(t--)
    {
     ans=0;
     memset(mp,0,sizeof(mp));
     memset(stru,0,sizeof(stru));
     memset(use,0,sizeof(use));
     scanf("%d%d",&n,&m);
     for(int i=1;i<=n;i++)
     {
         scanf("%d",&k);
         for(int j=1;j<=k;j++)
         {
             scanf("%d",&x);
             mp[i][x]=1;
         }
     }

      for(int i=1;i<=n;i++)
      {
          memset(use,0,sizeof(use));
          if(find(i))
         ans++;
      }
      ans==n?puts("YES"):puts("NO");
    }
}