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Create Topological_sort.cpp #7

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86 changes: 86 additions & 0 deletions Topological_sort.cpp
Original file line number Diff line number Diff line change
@@ -0,0 +1,86 @@
#include <bits/stdc++.h>
using namespace std;

// } Driver Code Ends
class Solution
{
public:
//Function to return list containing vertices in Topological order.
vector<int> topoSort(int V, vector<int> adj[])
{
vector<int> indegree(V,0);
for(int i=0; i<V; i++){
for(int j=0; j<adj[i].size(); j++){
int node=adj[i][j];
indegree[node]++;
}
}

queue<int> qu;
for(int i=0; i<V; i++){
if(indegree[i]==0)
qu.push(i);
}
vector<int> topo;
while(!qu.empty()){
int node=qu.front();
qu.pop();
topo.push_back(node);
for(int j=0; j<adj[node].size(); j++){
int nbr=adj[node][j];
if(--indegree[nbr]==0)
qu.push(nbr);
}
}
return topo;
}
};

// { Driver Code Starts.

/* Function to check if elements returned by user
* contains the elements in topological sorted form
* V: number of vertices
* *res: array containing elements in topological sorted form
* adj[]: graph input
*/
int check(int V, vector <int> &res, vector<int> adj[]) {

if(V!=res.size())
return 0;

vector<int> map(V, -1);
for (int i = 0; i < V; i++) {
map[res[i]] = i;
}
for (int i = 0; i < V; i++) {
for (int v : adj[i]) {
if (map[i] > map[v]) return 0;
}
}
return 1;
}

int main() {
int T;
cin >> T;
while (T--) {
int N, E;
cin >> E >> N;
int u, v;

vector<int> adj[N];

for (int i = 0; i < E; i++) {
cin >> u >> v;
adj[u].push_back(v);
}

Solution obj;
vector <int> res = obj.topoSort(N, adj);

cout << check(N, res, adj) << endl;
}

return 0;
}