there are N ACMers in HDU team.
ZJPCPC Sunny Cup 2007 is coming, and lcy want to select some excellent ACMers to attend the contest. There have been M matches since the last few days(No two ACMers will meet each other at two matches, means between two ACMers there will be at most one match). lcy also asks"Who is the winner between A and B?" But sometimes you can't answer lcy's query, for example, there are 3 people, named A, B, C.and 1 match was held between A and B, in the match A is the winner, then if lcy asks "Who is the winner between A and B", of course you can answer "A", but if lcy ask "Who is the winner between A and C", you can't tell him the answer.
As lcy's assistant, you want to know how many queries at most you can't tell lcy(ask A B, and ask B A is the same; and lcy won't ask the same question twice).
InputThe input contains multiple test cases.
The first line has one integer,represent the number of test cases.
Each case first contains two integers N and M(N , M <= 500), N is the number of ACMers in HDU team, and M is the number of matchs have been held.The following M lines, each line means a match and it contains two integers A and B, means A wins the match between A and B.And we define that if A wins B, and B wins C, then A wins C.OutputFor each test case, output a integer which represent the max possible number of queries that you can't tell lcy.Sample Input

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

Sample Output

0
0
4

Hint

in the case3, if lcy ask (1 3 or 3 1) (1 4 or 4 1) (2 3 or 3 2) (2 4 or 4 2), then you can't tell him who is the winner.

OJ-ID：
hdu-1704

author：
Caution_X

date of submission：
20191017

tags：
dfs

description modelling：
n个人，m场比赛，输出有多少种选择(a,b)使得不知道a,b谁胜谁负

major steps to solve it：
(1). dfs每一个人的比赛，将所有的间接战胜表示出来（间接战胜:a->b,b->c   =>  a->c）
(2). 遍历所有人的比赛，得出答案

AC code:

#include <cstdio>
#include <cstring>
int n;
int vis[501][501];
void dfs(int x,int y)
{
    for(int i=1;i<=n;i++)
        if(vis[y][i])
        {
            vis[x][i]=1;
            dfs(x,i);
        }
}
int main()
{
   // freopen("a.txt","r",stdin);
   int t,m,a,b;
   scanf("%d",&t);
   while(t--)
   {
       memset(vis,0,sizeof(vis));
       scanf("%d%d",&n,&m);
       for(int i=0;i<m;i++)
       {
           scanf("%d%d",&a,&b);
           vis[a][b]=1;
       }
       for(int i=1;i<=n;i++)
            for(int j=1;j<=n;j++)
            if(vis[i][j])
            {
                dfs(i,j);
            }
        int ans=0;
        for(int i=1;i<=n;i++)
            for(int j=i+1;j<=n;j++)
            if(!vis[i][j]&&!vis[j][i]) ans++;
        printf("%d\n",ans);
   }
   return 0;
}