#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using vi = vector<int>;
using vvi = vector<vi>;
using si = set<int>;
using ii = pair<int, int>;
using vii = vector<ii>;
int inf(0x3fffffff);
int mod(1000000007);
double pi(acos(-1.0));
int32_t main() {
  ios::sync_with_stdio(0);
  cin.tie(0);
  return 0;
}
