hdu 5305Friends

题目链接：http://acm.hdu.edu.cn/showproblem.php?pid=5305

Problem Description

There are n people and m pairs of friends. For every pair of friends, they can choose to become online friends (communicating using online applications) or offline friends (mostly using face-to-face communication). However, everyone in these n people wants to have the same number of online and offline friends (i.e. If one person has x onine friends, he or she must have x offline friends too, but different people can have different number of online or offline friends). Please determine how many ways there are to satisfy their requirements. 

 

Input

The first line of the input is a single integer T (T=100), indicating the number of testcases.

For each testcase, the first line contains two integers n (1≤n≤8) and m (0≤m≤n(n−1)2), indicating the number of people and the number of pairs of friends, respectively. Each of the next m lines contains two numbers x and y, which mean x and y are friends. It is guaranteed that x≠y and every friend relationship will appear at most once. 

 

Output

For each testcase, print one number indicating the answer.

 

Sample Input

2
3 3
1 2
2 3
3 1
4 4
1 2
2 3
3 4
4 1

 

Sample Output

0 2

数据比较小，直接暴力深搜即可。

 #include <iostream>
 #include <cstring>
 using namespace std;

 struct w
 {
        int x;
        int y;
 }p[];
 int a[],b[],n,m,num[],ans;
 void dfs(int k)
 {
      if (k==m+)
      {
                 ans++;
                 return ;
      }
      if (a[p[k].x]&&a[p[k].y])
      {
            a[p[k].x]--;
            a[p[k].y]--;
            dfs(k+);
            a[p[k].x]++;
            a[p[k].y]++;
      }
      if (b[p[k].x]&&b[p[k].y])
      {
            b[p[k].x]--;
            b[p[k].y]--;
            dfs(k+);
            b[p[k].x]++;
            b[p[k].y]++;
      }
      return ;
 }

 int main()
 {
     int t;
     cin>>t;
     while (t--)
     {
           cin>>n>>m;
           ans=;
           memset(a,,sizeof(a));
           memset(b,,sizeof(b));
           memset(num,,sizeof(num));
           for (int i=;i<=m;i++)
           {
               cin>>p[i].x>>p[i].y;
               num[p[i].x]++;
               num[p[i].y]++;
           }
           int flag=;
           for (int i=;i<=n;i++)
           {
               a[i]=b[i]=num[i]/;
               if (num[i]%!=)//朋友总数是奇数的肯定不符合在线和不在线的人数相等
               {
                    flag=;
                    //break;
               }
           }
           if (!flag)
           {
                     cout <<<<endl;
                     continue;
           }
           dfs();
           cout <<ans<<endl;
     }
     return ;
 }