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68 changes: 68 additions & 0 deletions Kahn's algorithm/Kahn's algorithm.cpp
Original file line number Diff line number Diff line change
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#include <bits/stdc++.h>
#define ll long long int
#define v vector<int>
using namespace std;
int n, m;
v in_deg;
queue<int> q;
v res;
void BFS(v adj[], int curr)
{
while (!q.empty())
{
curr = q.front();
res.push_back(curr);
q.pop();
for (int i = 0; i < adj[curr].size(); i++)
{
int To = adj[curr][i];
in_deg[To]--;
if (in_deg[To] == 0)
q.push(To);
}
}
}

void Kahn_algo(v adj[])
{
for (int i = 0; i < n; i++)
if (in_deg[i] == 0)
q.push(i);
BFS(adj, q.front());
}

int main()
{
freopen("./input.txt", "r", stdin);
freopen("../output.txt", "w", stdout);
int a, b;
cin >> n >> m;
v adj[n];
for (int i = 0; i < n; i++)
in_deg.push_back(0);
for (int i = 0; i < m; i++)
{
cin >> a >> b;
adj[a].push_back(b);
in_deg[b]++;
}
Kahn_algo(adj);
for (int i = 0; i < res.size(); i++)
cout << res[i] << " ";

return 0;
}
/*
INPUT :
5
6
1 0
2 1
2 4
4 1
3 0
3 1

OUTPUT:
2 3 4 1 0
*/