#include<pch.h>
#include <iostream>
#include <cstdio>
#include <bits/stdc++.h>
#include <queue>
#include <map>
#include <algorithm>
#include <stack>
#include <iomanip>
#include <cstring>
#include <cmath>
#define endl '\n'
#define DETERMINATION main
#pragma GCC optimize(2)
#pragma warning(disable:4996)
#define lldin(a) scanf("%lld", &a)
#define println(a) printf("%lld\n", a)
#define print(a) printf("%lld ", a)
#define reset(a, b) memset(a, b, sizeof(a))
#define debug cout<<"procedures above are available"<<endl;
#define BigInteger __int128
const int INF = 2e9 + 2;
const double PI = acos(-1);
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
const int mod = 1e9 + 7;
//template<typename T>
//inline BigInteger nextBigInteger()
//{
// BigInteger tmp = 0, si = 1;char c; c = getchar();
// while (!isdigit(c))
//{if (c == '-')si = -1;c = getchar();}
// while (isdigit(c))
// {tmp = tmp * 10 + c - '0';c = getchar();}
// return si * tmp;
//}
//std::ostream& operator<<(std::ostream& os, __int128 T)
//{
// if (T<0) os<<"-";if (T>=10 ) os<<T/10;if (T<=-10) os<<(-(T/10));
// return os<<( (int) (T) >0 ? (int) (T) : -(int) (T) ) ;
//}
//void output(BigInteger x)
//{
// if (x < 0)
// {x = -x;putchar('-');}
// if (x > 9) output(x / 10);
// putchar(x % 10 + '0');
// }
/**The doorway has been blocked,whether to knock it out or find another way is a vital choice**/
/**Last Remote**/
import java.io.*;
import java.text.*;
import java.math.*;
import java.util.*;
public class Main58
{
public static void main(String args[])throws IOException
{
BufferedReader bf=new BufferedReader(new InputStreamReader(System.in));
StreamTokenizer st=new StreamTokenizer(new BufferedReader(new InputStreamReader(System.in)));
PrintWriter pw=new PrintWriter(new BufferedWriter(new OutputStreamWriter(System.out)));
}
}
