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
import java.util.Scanner;

public class Main {
	public static void main(String[] args) {
		try(Scanner sc = new Scanner(System.in)){
			char[] S = sc.next().toCharArray();
			char[] ans = "AKIHABARA".toCharArray();
			int ai = 0;
			for(int i = 0; i < S.length; i++) {
				if(ai == ans.length) {
					System.out.println("NO");
					return;
				}
				char c = S[i];
				do{
					if(ans[ai] == c) break;
					if(ans[ai] == 'A' && ai < (ans.length - 1) &&  ans[ai + 1] == c) {
						ai++;
						break;
					}
					System.out.println("NO");
					return;
				} while(false);
				ai++;
			}
			if(ai == ans.length) {
				System.out.println("YES");
			} else if(ai == ans.length - 1 && ans[ai] == 'A'){
				System.out.println("YES");
			} else {
				System.out.println("NO");
			}
		}
	}
}