#include<bits/stdc++.h>
using namespace std;

int main(){
//freopen("x.in","r",stdin);
//freopen("x.out","w",stdout);
ios::sync_with_stdio(false);
cin.tie(0);cout.tie(0);
//freopen("x.in","r",stdin);
//freopen("x.out","w",stdout);

	
return 0;
}