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()

a = 'AKIHABARA'

lis = ['KIHABARA', 'AKIHBARA', 'AKIHABRA', 'AKIHABAR', 'KIHBARA', 
'KIHABRA', 'KIHABAR', 'AKIHABR', 'KIHBRA','AKIHBR', 'KIHBR', 'AKIHABARA','AKIHBRA', 'AKIHBARA','KIHBAR', 'KIHABR']

if s not in lis:
    print('NO')
else:
    print('YES')