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 sys

input = sys.stdin.readline

def main():
    ans = 'NO'
    S = input().rstrip('\n')
    if S.count('KIH') == 1 and S.count('A') <= 4 and S.replace('A', '') == 'KIHBR' and S.count('AA') == 0:
        ans = 'YES'
    print(ans)

if __name__ == '__main__':
    main()