• 1146 Topological Order (25 分)


    This is a problem given in the Graduate Entrance Exam in 2018: Which of the following is NOT a topological order obtained from the given directed graph? Now you are supposed to write a program to test each of the options.

    gre.jpg

    Input Specification:

    Each input file contains one test case. For each case, the first line gives two positive integers N (≤ 1,000), the number of vertices in the graph, and M (≤ 10,000), the number of directed edges. Then M lines follow, each gives the start and the end vertices of an edge. The vertices are numbered from 1 to N. After the graph, there is another positive integer K (≤ 100). Then K lines of query follow, each gives a permutation of all the vertices. All the numbers in a line are separated by a space.

    Output Specification:

    Print in a line all the indices of queries which correspond to "NOT a topological order". The indices start from zero. All the numbers are separated by a space, and there must no extra space at the beginning or the end of the line. It is graranteed that there is at least one answer.

    Sample Input:

    6 8
    1 2
    1 3
    5 2
    5 4
    2 3
    2 6
    3 4
    6 4
    5
    1 5 2 3 6 4
    5 1 2 6 3 4
    5 1 2 3 6 4
    5 2 1 6 3 4
    1 2 3 4 5 6
     

    Sample Output:

    3 4
     
    #include<bits/stdc++.h>
    using namespace std;
    const int maxn=100005;
    vector<int> v[maxn];
    int main(){
        int n,m,k;
        int in[maxn]={0};
        scanf("%d %d",&n,&m);
        for(int i=0;i<m;i++){
            int a,b;
            scanf("%d %d",&a,&b);
            v[a].push_back(b);
            in[b]++;
        }
        vector<int> ve;
        scanf("%d",&k);
        for(int i=0;i<k;i++){
            int flag=1;
            vector<int> cnt(in,in+n+1);//将in赋值给cnt,注意这种方法
            vector<int> vt;
            int temp;
            for(int j=0;j<n;j++){
                scanf("%d",&temp);
                if(cnt[temp]!=0){
                    flag=0;
                }
                for(int t=0;t<v[temp].size();t++){
                    cnt[v[temp][t]]--;
                }
            }
            if(flag==0){
                ve.push_back(i);
            }
        }
        for(int i=0;i<ve.size();i++){
            printf("%d",ve[i]);
            if(i<ve.size()-1){
                printf(" ");
                }
            }
            printf("
    ");
        return 0;
    }
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  • 原文地址:https://www.cnblogs.com/dreamzj/p/14520888.html
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