HDU 1704 Rank

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mb5fdcadbf25fde 2014-09-11 21:40:00

文章标签 传递闭包 #include i++ #define ios 文章分类 后端开发

Rank

Time Limit: 1000ms

Memory Limit: 32768KB

This problem will be judged on HDU. Original ID: 1704
64-bit integer IO format: %I64d Java class name: Main

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).

Input

The 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.

Output

For each test case, output a integer which represent the max possible number of queries that you can't tell lcy.

Sample Input

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.

Source

2007省赛集训队练习赛（1）

解题：求有多少组关系没法确定。无向图传递闭包。

 1 #include <iostream>
 2 #include <cstdio>
 3 #include <cstring>
 4 #include <cmath>
 5 #include <algorithm>
 6 #include <climits>
 7 #include <vector>
 8 #include <queue>
 9 #include <cstdlib>
10 #include <string>
11 #include <set>
12 #include <stack>
13 #define LL long long
14 #define pii pair<int,int>
15 #define INF 0x3f3f3f3f
16 using namespace std;
17 const int maxn = 510;
18 int n,m;
19 bool mp[maxn][maxn];
20 void Floyd(){
21     for(int k = 1; k <= n; k++){
22         for(int i = 1; i <= n; i++){
23             for(int j = 1; mp[i][k]&&j <= n; j++)
24                 mp[i][j] |= mp[i][k]&mp[k][j];
25         }
26     }
27 }
28 int main() {
29     int t,u,v,ans;
30     scanf("%d",&t);
31     while(t--){
32         scanf("%d %d",&n,&m);
33         memset(mp,false,sizeof(mp));
34         for(int i = 0; i < m; i++){
35             scanf("%d %d",&u,&v);
36             mp[u][v] = true;
37         }
38         Floyd();
39         ans = 0;
40         for(int i = 1; i <= n; i++){
41             for(int j = i+1; j <= n; j++)
42                 if(mp[i][j] == 0 && mp[j][i] == 0) ans++;
43         }
44         printf("%d\n",ans);
45     }
46     return 0;
47 }