• POJ 3660—— Cow Contest——————【Floyd传递闭包】


    Cow Contest
    Time Limit:1000MS     Memory Limit:65536KB     64bit IO Format:%I64d & %I64u

    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≤ NA ≠ 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;
    }
    

      

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  • 原文地址:https://www.cnblogs.com/chengsheng/p/4902931.html
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