text: #include<bits/stdc++.h>
  using namespace std;
  using LL=long long;
  #define FOR(i,l,r) for(int i=(l);i<=(r);++i)
  #define REP(i,n) FOR(i,0,(n)-1)
  #define ssize(x) int(x.size())
  template<class A,class B>auto&operator<<(ostream&o,pair<A,B>p){return o<<'('<<p.first<<", "<<p.second<<')';}
  template<class T>auto operator<<(ostream&o,T x)->decltype(x.end(),o){o<<'{';int i=0;for(auto e:x)o<<(", ")+2*!i++<<e;return o<<'}';}
  #ifdef DEBUG
  #define debug(x...) cerr<<"["#x"]: ",[](auto...$){((cerr<<$<<"; "),...);}(x),cerr<<'\n'
  #else
  #define debug(...) {}
  #endif
  mt19937_64 rng(chrono::system_clock::now().time_since_epoch().count());
  int rd(int l, int r) {
  	return uniform_int_distribution<int>(l, r)(rng);
  }
  
  int main() {
  	cin.tie(0)->sync_with_stdio(0);
  
  }
  