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