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.
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 81 21 35 25 42 32 63 46 451 5 2 3 6 45 1 2 6 3 45 1 2 3 6 45 2 1 6 3 41 2 3 4 5 6
Sample Output:
3 4
代码:
#includeusing namespace std;int N, M, K;int topo[1010][1010];int num[1010];map mp;int main() { scanf("%d%d", &N, &M); memset(topo, 0, sizeof(topo)); while(M --) { int a, b; scanf("%d%d", &a, &b); topo[a][b] = 1; } scanf("%d", &K); vector ans; for(int k = 0; k < K; k ++) { bool flag = true; for(int i = 0; i < N; i ++) scanf("%d", &num[i]); for(int i = N - 1; i >= 1; i --) { for(int j = i - 1; j >= 0; j --) { if(topo[num[i]][num[j]]) { flag = false; break; } } } if(!flag) ans.push_back(k); } for(int i = 0; i < ans.size(); i ++) printf("%d%s", ans[i], i != ans.size() - 1 ? " " : "\n"); return 0;}
建立有向图 输入的每一组数据从后向前暴力如果走得通的话就是 false
FHFHFH