#pragma comment(linker, "/STACK:128777216")
#define _USE_MATH_DEFINES
#define _CRT_SECURE_NO_WARNINGS

#include <iostream>
#include <map>
#include <deque>
#include <unordered_map>
#include <unordered_set>
#include <vector>
#include <string>
#include <set>
#include <fstream>
#include <algorithm>
#include <random>
#include <queue>
#include <stack>
#include <ctime>

using namespace std;

int main()
{
	ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);

	return 0;
}