Description
N (1 ≤ N ≤ 100) cows, conveniently numbered 1..N, are participating in a programming contest. As we all know, some cows code better than others. Each cow has a certain constant skill rating that is unique among the competitors.
The contest is conducted in several head-to-head rounds, each between two cows. If cow A has a greater skill level than cow B (1 ≤ A ≤ N; 1 ≤ B≤ N; A ≠ B), then cow A will always beat cow B.
Farmer John is trying to rank the cows by skill level. Given a list the results of M (1 ≤ M ≤ 4,500) two-cow rounds, determine the number of cows whose ranks can be precisely determined from the results. It is guaranteed that the results of the rounds will not be contradictory.
Input
* Line 1: Two space-separated integers: N and M
* Lines 2..M+1: Each line contains two space-separated integers that describe the competitors and results (the first integer, A, is the winner) of a single round of competition: A and B
Output
* Line 1: A single integer representing the number of cows whose ranks can be determined
Sample Input
5 5 4 3 4 2 3 2 1 2 2 5
Sample Output
2
题目大意:有n头牛,m个击败关系。问你最后有多少头牛的名次是可以确定的。
解题思路:Floyd传递闭包后,判断牛i前面有多少头牛,他后边有多少头牛。如果前后牛的头数等于n-1,那么说明他是可以确定名次的。
#include<stdio.h> #include<string.h> #include<algorithm> #include<iostream> using namespace std; int d[300][300]; int main(){ int n,m; while(scanf("%d%d",&n,&m)!=EOF){ int a,b; for(int i = 0; i < m;i++){ scanf("%d%d",&a,&b); d[a][b] = 1; } for(int k = 1; k <= n; k++){ for(int i = 1; i <= n; i++){ for(int j = 1; j <= n; j++){ d[i][j] = (d[i][j]|| (d[i][k]&&d[k][j])); } } } int res = 0; for(int i = 1; i <= n; i++){ int num = 0; for(int j = 1; j <=n; j++){ if(j == i) continue; if(d[i][j] || d[j][i]) num++; } if(num == n-1) res++; } printf("%d ",res); } return 0; }