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;
string st;
int main()
{
	cin>>st;
	if(st.size()<5||st.size()>9)
	{
		cout<<"NO";
		exit(0);
	}
	if(st=="AKIHABARA"||st=="KIHBR")
	  cout<<"YES";else
	if(st=="KIHABARA"||st=="AKIHBARA"||st=="AKIHABRA"||st=="AKIHABAR")
	  cout<<"YES";else
	if(st=="KIHBARA"||st=="KIHABRA"||st=="KIHABAR"||st=="AKIHBRA"||st=="AKIHBAR"||st=="AKIHABR")
	  cout<<"YES";else
	if(st=="KIHBRA"||st=="KIHBAR"||st=="AKIHBR"||st=="KIHABR")
	  cout<<"YES";else
	  cout<<"NO";
	return 0;
}