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