TheAlgorithms-C-Plus-Plus/Graph/Topological-Sort.cpp

47 lines
988 B
C++
Raw Normal View History

2018-11-20 21:30:46 +08:00
#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;
int n , m; // For number of Vertices (V) and number of edges (E)
vector< vector<int> > G;
vector<bool> visited;
vector<int> ans;
void dfs(int v) {
visited[v] = true;
for (int u : G[v]) {
if (!visited[u])
dfs(u);
}
ans.push_back(v);
}
void topological_sort() {
visited.assign(n, false);
ans.clear();
for (int i = 0; i < n; ++i) {
if (!visited[i])
dfs(i);
}
reverse(ans.begin(), ans.end());
}
int main(){
2019-02-20 02:45:38 +08:00
cout << "Enter the number of vertices and the number of directed edges\n";
2018-11-20 21:30:46 +08:00
cin >> n >> m;
int x , y;
G.resize(n , vector<int>());
for(int i = 0 ; i < n ; ++i) {
cin >> x >> y;
2019-02-20 02:45:38 +08:00
x-- , y--; // to convert 1-indexed to 0-indexed
2018-11-20 21:30:46 +08:00
G[x].push_back(y);
}
topological_sort();
cout << "Topological Order : \n";
for(int v : ans) {
2019-02-20 02:45:38 +08:00
cout << v + 1 << ' '; // converting zero based indexing back to one based.
2018-11-20 21:30:46 +08:00
}
cout << '\n';
return 0;
}