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 <stdio.h>
#include <string.h>
char arr[100];
char aki[100] = "AKIHABARA";
int akiptr = 0;
int main() {
	scanf("%s", arr);
	int len = strlen(arr);
	for (int i = 0; i < len; ++i) {
		if (arr[i] == aki[akiptr]) {
			akiptr++;
		}
		else if (aki[akiptr] == 'A') {
			--i, akiptr++;
		}
		else {
			printf("NO");
			return 0;
		}
		if (i == len - 1 && akiptr>7) {
			printf("YES");
			return 0;
		}
	}
	printf("NO");
}