hdu 1083 Courses(二分匹配之匈牙利算法)

题目地址：

http://acm.hdu.edu.cn/showproblem.php?pid=1083

Courses

Time Limit: 20000/10000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 5098    Accepted Submission(s): 2454

Problem Description

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:

 

Sample Input

   
   
   
   

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

 

Sample Output

   
   
   
   

    
    
    
    YES
NO 
   
   
   
   

 这道题的题目大意是给你n个学生和p门课程，每个课程都有m个学生上课，要求在每门课中选出一个代表，一个人只能担任一个课代表，问是否每个课都有代表

AC代码：

#include<stdio.h>
#include<string.h>
int n,p;
int mp[310][310],vis[310],link[310];
int dfs(int x)
{
     int i,j,k;
     for(i=1;i<=n;i++)
     {
          if(vis[i]==0 && mp[x][i]==1)
          {
               vis[i]=1;
               if(link[i]==0 || dfs(link[i])==1){
                    link[i]=x;
                    return 1;
               }
          }
     }
     return 0;
}
int main()
{
     int t,i,j,s,z,counts,m;
     scanf("%d",&t);
     while(t--)
     {
          memset(mp,0,sizeof(mp));
          counts=0;
          scanf("%d%d",&p,&n);
          for(i=1;i<=p;i++)
          {
               scanf("%d",&m);
               for(j=1;j<=m;j++)
               {
                    scanf("%d",&z);
                    mp[i][z]=1;
               }
          }
          memset(link,0,sizeof(link));
          for(i=1;i<=p;i++)
          {
               memset(vis,0,sizeof(vis));
               if(dfs(i)==1)
                    counts++;
          }
         // printf("%d %d\n",counts,p);
          if(counts==p)
               printf("YES\n");
          else printf("NO\n");
     }
}