text: #include<bits/stdc++.h>
  #define mt make_tuple
  #define mp make_pair
  #define pu push_back
  #define INF 1000000001
  #define MOD 1000000007
  #define ll long long int
  #define ld long double
  #define vi vector<int>
  #define vll vector<long long int>
  #define sc(n) scanf("%d",&n);
  #define scll(n) scanf("%lld",&n);
  #define scld(n) scanf("%Lf",&n);
  #define scr(s) {char temp[1000000];scanf("%s",temp);s = temp;}
  
  using namespace std;
  
  int main()
  {
  
    return 0;
  }
  