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()

flag = [0, 0, 0]

s1 = s
if s1.replace('A', '') == 'KIHBR':
	flag[0] = 1

s2 = s
if 'AA' not in s2:
	flag[1] = 1

s3 = s
if 'KAI' not in s3 and 'IAH' not in s3:
	flag[2] = 1

if flag == [1, 1, 1]:
	print('YES')
else:
	print('NO')