PTA Topological Order (25分)

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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 <iostream>
#include <cstdio>
#include <algorithm>
#include <string>
#include <cstring>
#include <cstdlib>
#include <cmath>
#include <stack>
#include <queue>
#include <set>
#include <map>
#include <vector>
#include <ctime>
#include <cctype>
#include <bitset>
#include <utility>
#include <sstream>
#include <complex>
#include <iomanip>
#include<climits>//INT_MAX

//#include<bits/stdc++.h>
#define PP pair<ll,int>
#define inf 0x3f3f3f3f
#define llinf 0x3f3f3f3f3f3f3f3fll
#define dinf 1000000000000.0
#define PI 3.1415926
typedef long long ll;
using namespace std;
int const mod=1e9+7;
const int maxn=1e5+10;
int mp[1001][1001];
vector<int> v1(1001,0);
vector<int> v2(1001,0);
vector<int> v;
int n,m,k;
void judge(int a){
	for(int i=1;i<=n;i++){
		if(mp[a][i]==1){
			v2[i]--;
		}
	}
}
int main(){
	cin>>n>>m;
	for(int i=1;i<=m;i++){
		int a,b;
		cin>>a>>b;
		mp[a][b] = 1;
		v1[b]++;
	}
	cin>>k;
	int fg=0;
	for(int i=0;i<k;i++){
		int flag=0;
		for(int j=1;j<=n;j++)
			v2[j]=v1[j];
		for(int j=1;j<=n;j++){
			int a;
			cin>>a;
			if(v2[a]==0)
			 	judge(a);
			else{
				flag=1;
				fg++;
			}
		}
		if(flag)
			v.push_back(i);
	}
	for(int i=0;i<v.size();i++){
		if(i==0)
			cout<<v[i];
		else
			cout<<' '<<v[i];
	}
	cout<<endl;
	return 0;
}

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转载自blog.csdn.net/weixin_44170305/article/details/108465918