#include <iostream>
#include <string.h>
#include <cstdio>
#include <algorithm>
#include <string>
#include <iomanip>
#include <math.h>
#include <map>
#include <set>
#include <queue>
#include <stack>
#include <vector>

#define LL long long
const int N = 1e5 + 10;
const int INF = 0x3f3f3f3f;
using namespace std;

int main()
{
	
	return 0;
}