二分图最大独立集

       二分图最大独立集=点数n-二分图最大匹配。知道这个公式后，这道题就很easy了，，是一道裸题，最基本的二分图最大独立集，，图都是直接建好得。。。题目：

Girls and Boys

Time Limit: 5000MS Memory Limit: 10000KTotal Submissions: 7452 Accepted: 3242

Description

In the second year of the university somebody started a study on the romantic relations between the students. The relation "romantically involved" is defined between one girl and one boy. For the study reasons it is necessary to find out the maximum set satisfying the condition: there are no two students in the set who have been "romantically involved". The result of the program is the number of students in such a set.

Input

The input contains several data sets in text format. Each data set represents one set of subjects of the study, with the following description: 

the number of students 
the description of each student, in the following format 
student_identifier:(number_of_romantic_relations) student_identifier1 student_identifier2 student_identifier3 ... 
or 
student_identifier:(0) 

The student_identifier is an integer number between 0 and n-1 (n <=500 ), for n subjects.

Output

For each given data set, the program should write to standard output a line containing the result.

Sample Input

70: (3) 4 5 61: (2) 4 62: (0)3: (0)4: (2) 0 15: (1) 06: (2) 0 130: (2) 1 21: (1) 02: (1) 0

Sample Output

52

ac代码：

#include <iostream>#include <cstdio>#include <algorithm>#include <string.h>#include <vector>using namespace std;vector<int> ss[505];int flag[505],visted[505];bool dfs(int x){for(int i=0;i<ss[x].size();++i){if(!visted[ss[x][i]]){  visted[ss[x][i]]=1;  if(flag[ss[x][i]]==-1||dfs(flag[ss[x][i]])){    flag[ss[x][i]]=x;return true;  }}}return false;}int main(){  int n;  while(~scanf("%d",&n)){    memset(ss,0,sizeof(ss));memset(flag,-1,sizeof(flag));int x,num,y,m=n;char ch1,ch2,ch3;while(m--){   cin>>x>>ch1>>ch2>>num>>ch3;   while(num--){     scanf("%d",&y);     ss[x].push_back(y);  }}int sum=0;for(int i=0;i<n;++i){  memset(visted,0,sizeof(visted));  if(dfs(i))  sum++;}printf("%d\n",n-sum/2);  }  return 0;}