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71 changes: 71 additions & 0 deletions C++/Cycle Detection in Directed Graph.cpp
Original file line number Diff line number Diff line change
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#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define mod 1000000007
#define mod9 998244353
#define raftaar \
ios_base::sync_with_stdio(false); \
cin.tie(NULL); \
cout.tie(NULL)
#define endl "\n"
bool dfs(int node, vector<int> adj[], vector<bool> &vis, vector<int> &check)
{
vis[node] = 1;
check[node] = 1;
for (auto x : adj[node])
{
if (!vis[x])
{
if (dfs(x, adj, vis, check))
{
return true;
}
}
if (check[x])
{
return true;
}
}
check[node] = 0;
return false;
}
bool isCyclic(int V, vector<int> adj[])
{
vector<bool> vis(V, 0);
vector<int> check(V, 0);

for (int i = 0; i < V; i++)
{
if (!vis[i])
{
if (dfs(i, adj, vis, check))
{
return true;
}
}
}

return false;
}
int main()
{
raftaar;
int node, edges;
cin >> node >> edges;
vector<int> adj[node];
for (int i = 0; i < edges; i++)
{
int u, v;
cin >> u >> v;
adj[u].push_back(v);
}
bool ans = isCyclic(node, adj);
if (ans)
{
cout << "The Graph contain cycle" << endl;
}
else
{
cout << "The Graph does not contain cycle" << endl;
}
}