Strongly Connected Component (SCC Kosaraju)


#include <bits/stdc++.h>

using namespace std;

vector<int>G[50],G_reverse[50];
int finishing_time,finish[50],visited[50];

int DFS(int n)
{
    finishing_time++;
    int i,j,k;
    visited[n]=1;
    for(i=0,j=G[n].size(); i<j; i++)
    {
        k=G[n][i];
        if(visited[k]==0)
            DFS(k);
    }
    finish[n]=++finishing_time;
    return 0;
}

int dfs2(int n)
{
    printf(" %d",n);
    visited[n]=1;
    int i,j,k;
    for(i=0,j=G_reverse[n].size(); i<j; i++)
    {
        k=G_reverse[n][i];
        if(visited[k]==0)
            dfs2(k);
    }
    return 0;
}

int main()
{
    int i,j,k,m,n,e;
    printf("Enter no of nodes in the graph:");
    cin>>n;
    printf("Enter no of edges in the graph:");
    cin>>e;
    
    while(e--)
    {
        cin>>i>>j;
        G[i].push_back(j);
        G_reverse[j].push_back(i);
    }
    
    memset(visited,0,sizeof visited);
    finishing_time=0;
    
    for(i=1; i<=n; i++)
    {
        if(visited[i]==0)
        {
            DFS(i);
        }
    }
    
    vector<pair<int,int> >v;
    
    for(i=1; i<=n; i++)
    {
        v.push_back(make_pair(finish[i],i));
    }
    
    sort(v.begin(),v.end());
    reverse(v.begin(),v.end());//sorting in ascending order.
    
    int SCC=0;
    
    memset(visited,0,sizeof visited);
    
    for(i=0; i<n; i++)
    {
        m=v[i].second;
        if(!visited[m])
        {
            printf("Component of SCC no %d:",++SCC);
            dfs2(m);
            printf("\n");
        }
    }
    
    return 0;
}

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