#include<iostream>
#include<vector>
#include<cstdio>
#include<queue>
#include<map>
#include<cstdlib>
#include<cmath>
#include<algorithm>
#include<set>
#include<cstring>
using namespace std;
typedef long long ll;
const ll INF=99999999;
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(0);
return 0;
}