You are given a string S.

Takahashi can insert the character `A` at any position in this string any number of times.

Can he change S into `AKIHABARA`?

Constraints

* 1 \leq |S| \leq 50
* S consists of uppercase English letters.

Input

Input is given from Standard Input in the following format:


S


Output

If it is possible to change S into `AKIHABARA`, print `YES`; otherwise, print `NO`.

Examples

Input

KIHBR


Output

YES


Input

AKIBAHARA


Output

NO


Input

AAKIAHBAARA


Output

NO
#include <bits/stdc++.h>
using namespace std;

int main(int argc, char const *argv[])
{
	string s;
	cin>>s;
	if (s=="KIHBR"||s=="AKIHBR"||s=="KIHABR"||s=="AKIHABR"||s=="KIHBAR"||s=="AKIHBAR"||s=="KIHABAR"||s=="AKIHABAR"||s=="KIHBRA"||s=="AKIHBRA"||s=="KIHABRA"||s=="AKIHABRA"||s=="KIHBARA"||s=="AKIHBARA"||s=="KIHABARA"||s=="AKIHABARA")
	{
		cout<<"YES\n";
	}
	else
	{
		cout<<"NO\n";
	}
	return 0;
}
