#include <bits/stdc++.h>

#define FRR(file) freopen(file,"r",stdin)
#define FRW(file) freopen(file,"w",stdout)
#define _rep(i,a,b) for (int i=(a);i<=(b);++i)
#define _rrep(i,a,b) for (int i=(a);i>=(b);--i)
#define _reps(i,a,b,c) for (int i=(a);i<=(b);c)
#define _rreps(i,a,b,c) for (int i=(a);i>=(b);c)
#define _graph(i,u) for (int i=h[u];~i;i=ne[i])
#define _iter(it,a) for (auto it=a.begin();it!=a.end();++it)
#define LL long long

using namespace std;

int main() {
	;
}
