1146 Topological Order (25 point(s))
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.
![](https://img.laitimes.com/img/_0nNw4CM6IyYiwiM6ICdiwiI0gTMx81dsQWZ4lmZf1GLlpXazVmcvwFciV2dsQXYtJ3bm9CX9s2RkBnVHFmb1clWvB3MaVnRtp1XlBXe0xCMy81dvRWYoNHLwEzX5xCMx8FesU2cfdGLwMzX0xiRGZkRGZ0Xy9GbvNGLpZTY1EmMZVDUSFTU4VFRR9Fd4VGdsYTMfVmepNHLrJXYtJXZ0F2dvwVZnFWbp1zczV2YvJHctM3cv1Ce-cGcq5SOxkTOyATYmF2NihDM5IjMzYzXxEDM0ATM1EzLclDMyIDMy8CXn9Gbi9CXzV2Zh1WavwVbvNmLvR3YxUjLyM3Lc9CX6MHc0RHaiojIsJye.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:
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
经验总结:
AC代码
#include <cstdio>
#include <vector>
#include <algorithm>
using namespace std;
const int maxn=1010;
int n,m,k,indegree[maxn]={0},tdegree[maxn],a,b;
vector<int> adj[maxn];
int main()
{
scanf("%d%d",&n,&m);
for(int i=0;i<m;++i)
{
scanf("%d%d",&a,&b);
++indegree[b];
adj[a].push_back(b);
}
scanf("%d",&k);
bool f=false;
for(int i=0;i<k;++i)
{
for(int i=1;i<=n;++i)
tdegree[i]=indegree[i];
bool flag=false;
for(int j=0;j<n;++j)
{
scanf("%d",&a);
if(tdegree[a]!=0)
flag=true;
for(int x=0;x<adj[a].size();++x)
--tdegree[adj[a][x]];
}
if(flag==true)
if(f==false)
{
printf("%d",i);
f=true;
}
else
printf(" %d",i);
}
return 0;
}