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()
{
	 string s; cin>>s;
	 if(s=="KIHBR"||s=="AKIHBR"||s=="AKIHABR"||s=="AKIHABAR"||s=="AKIHABARA"||
	 s=="KIHABR"||s=="KIHABAR"||s=="KIHABR"||s=="KIHABAR"||s=="KIHBAR"||
	 s=="KIHBARA"||s=="KIHBRA"||s=="AKIHBARA"||s=="AKIHABRA"||s=="AKIHBRA"||
	 s=="KIHABARA") puts("YES");
	 else puts("NO");
	 
}

/*
AKIHABARA
*/