/************************************************************

Author : atyam

************************************************************/

#include <bits/stdc++.h>

using namespace std ;

/*debugging*/

#define out1(x)cout<<#x<<" is "<<x<<endl

#define out2(x,y)cout<<#x<<" is "<<x<<" "<<#y <<" is "<<y<<endl

#define out3(x,y,z)cout<<#x<<" is "<<x<<" "<<#y<<" is "<<y<<" "<<#z<<" is "<<z<<endl;

#define out4(a,b,c,d)cout<<#a<<" is "<<a<<" "<<#b<<" is "<<b<<" "<<#c<<" is "<<c<<" "<<#d<<" is "<<d<<endl;

#define show(i,a,n) for(i=0;i<n;i++)cout<<a[i]<<" ";cout<<endl;

#define sz(a) cout<<"size of "<<#a<<" is "<<a.size()

#define exectime() cout<<"execution time "<<(double)(clock() - tStart)/CLOCKS_PER_SEC<<endl;

/*standard values*/

#define INF 1e18

#define PI 3.14159265359

#define MAX 1000006

/*Frequent functions*/

#define PB push_back

#define MP make_pair

#define F first

#define S second

#define si(n) scanf("%d",&n)

#define sl(n) scanf("%lld",&n)

#define pu putchar

#define gu getchar

#define FastIn std::ios::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL)

/*loops and initialisation*/

#define init(a,b) memset(a,b,sizeof(a))

#define rep(i,a,b) for(i=a;i<=b;i++)

#define repi(i,a,b) for(i=a;i>=b;i--)

#define repdf(i,a,b,d) for(i=a;i<=b;i+=d)

#define repdb(i,a,b,d) for(i=a;i>=b;i-=d)

#define TC() int t;cin>>t;while(t--)

#define dfs_white 0

#define dfs_grey 1

#define dfs_black 2

/* Global variables*/

std::map<char,set<char> > input_graph ;

std::map<char,int> numbering;

std::map<int,char> naming;

std::vector<int> colors;

std::vector<int> dfs_num;

std::vector<int> dfs_low;

std::vector<bool> in_stack;

std::vector<vector<char> > result;

stack<int> stronglyconnected_nodes ;

std::vector<vector<int> > adjacency_list;

int dfs_current_num ;

/*Functions used*/

int number(char c)

}

void addedge(char src,char dest)

}

void dfs(int parent,int current)

}

int main()

}