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topological_sort.cpp
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85 lines (77 loc) · 2.25 KB
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/*************************************Ninja-nick-s*****************************************/
#include <bits/stdc++.h>
using namespace std;
#define fast ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);
typedef long long ll;typedef long double ld;typedef pair<int,int> pii;
#define F first
#define S second
#define PB push_back
#define MP make_pair
#define YES {cout<<"YES\n";return;}
#define NO {cout<<"NO\n";return;}
#define all(x) x.begin(), x.end()
#define rep(i,start,end) for(auto i=(start)-((start)>(end));i!=(end)-((start)>(end));((start)<(end)?i++:i--))
const ll mod = 1e9+7, N = 2e6+7, M = 2e6+7, INF = INT_MAX/10;
ll powe(ll x, ll y){ x = x%mod, y=y%(mod-1);
ll ans = 1;
while(y>0){if (y&1){ans = (1ll * x * ans)%mod;}y>>=1;x = (1ll * x * x)%mod;}
return ans;}
void PA(int v[], int n, int x = 0) { for (int i = x ; i < n + x; i++)cout << v[i] <<" " ;}
void IA(int a[], int n, int x = 0) {for (int i = x; i < n + x; i++)cin >> a[i];}
string yup="YES";
string nope="NO";
/* CHECK t */
map<int , vector<int> > adj; //adjacency list
map<int , bool> vis; // visited array for 0 based indexing;
void toposort(int start , stack<int> &st){ //this is simply a dfs call but storing node in
//stack of which dfs call is over
vis[start] = true;
//cout<<start<<" ";
for(auto x:adj[start]){
if(!vis[x]){
toposort(x,st);
}
}
st.push(start);
}
void graph(){
int n,e;cin>>n>>e; //no. of nodes and edges
rep(i,0,e){
int x,y;cin>>x>>y;
adj[x].push_back(y);
//adj[y].push_back(x);
}
stack<int> st;
/*The idea behind toposort is to print u before v if u->v */
// topological sort is only useful for directed acyclic(without any cycle) graph
rep(i,0,n){
if(!vis[i]) {
toposort(i,st);
}
}
vector<int> topo;
while(!st.empty()){
topo.push_back(st.top());
st.pop();
}
for(auto x:topo){
cout<<x<<" ";
}
}
void Solve(){
graph();
}
int32_t main(){
#ifndef ONLINE_JUDGE
freopen("input.txt","r", stdin);
freopen("output.txt","w", stdout);
#endif
fast;
int t = 1;
//cin >> t;
//cout<<fixed<<setprecision(9);
while(t--){
Solve();cout<<"\n";
}
return 0;
}