Template
source: NA
CPP template.
#include <bits/stdc++.h>
using namespace std;
#define FIO \
ios_base::sync_with_stdio(0); /* false */ \
cin.tie(0); /* nullptr */ \
cout.tie(0); /* nullptr */
typedef long long lli;
typedef long double ld;
#ifndef ONLINE_JUDGE
#define perr(x) cerr << #x << " " << (x) << endl
#else
#define perr(x) 0
#endif // !ONLINE_JUDGE
#define sz(c) c.size()
#define fora(i, a, b) for(lli i = (a); (i) < (b); ++i) // [a -> b)
#define ford(i, a, b) for(lli i = (a); (i)-- > (b);) // [b <- a)
typedef lli num;
int main() {
FIO;
return 0;
}