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;
	string a="KIHBR...";
	int flag = 0;
	int x = 0;
	int ans = 1;
	for(int i = 0; i < s.size(); i++){
		if(s[i] == 'A'){
			if(flag == 0){
				flag = 1;
			}else ans = 0;
		}else
		if(s[i] == a[x]){
			if(x == 0 || x == 1)flag = 1;
			else flag = 0;
			x++;
		}else
		ans = 0;
	}
	if(ans && x ==5)cout <<"YES"<<endl;
	else cout <<"NO"<<endl;
}
