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

#define fora(i, n) for (int i = 0; i < n; ++i)
#define forb(i, n) for (int i = 1; i <= n; ++i)
#define all(x) begin(x), end(x)
#define sz(x) (ll)size(x)
#define _ << " " <<
#define debug(x) #x << " = " << (x)

using ll = long long;
using ld = long double;

int main() {
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
}