#include <bits/stdc++.h>
using namespace std;
// https://www.geeksforgeeks.org/fast-io-for-competitive-programming/
// Or use outside as
static int x = []() { ios::sync_with_stdio(false); cin.tie(NULL); return 0; }();
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
return 0;
}