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
print("YES" if input() in ['KIHBR', 'KIHBRA', 'KIHBAR', 'KIHBARA', 'KIHABR', 'KIHABRA', 'KIHABAR', 'KIHABARA', 'AKIHBR', 'AKIHBRA', 'AKIHBAR', 'AKIHBARA', 'AKIHABR', 'AKIHABRA', 'AKIHABAR', 'AKIHABARA'] else "NO")