#include <bits/stdc++.h>
    using namespace std;
        
    #define pii pair<int,int>
    #define vi vector<int>
    #define wgraph vector<pair<int,int>>
    #define ll long long int
    #define pb push_back
        
    const int MAX_INT = numeric_limits<int>::max();
    const int MIN_INT = numeric_limits<int>::min();
        
        
        
    int main() {
        //REMINDER DONT USE endl use "\n"
        ios_base::sync_with_stdio(false);
        cin.tie(NULL);
        
        
        return 0;
    }