#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define endl '\n'
#define sq(a) (a)*(a)
#define append push_back
const ll mod = 1e9 + 7;
int main() {
    ios::sync_with_stdio(0);
    cin.tie(0), cout.tie(0);
    freopen("in.inp", "r", stdin);
    freopen("out.out", "w", stdout);

    return 0;
}