Problem Statement

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 .

Sample Input 1

KIHBR

Sample Output 1

YES

Insert one A at each of the four positions: the beginning, immediately after H , immediately after B and the end.

Sample Input 2

AKIBAHARA

Sample Output 2

NO

The correct spell is AKIHABARA .

Sample Input 3

AAKIAHBAARA

Sample Output 3

NO