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 = 'AKIHABARA'
t = raw_input()
n = len(t)
i = 0
j = 0
while i < n and j < len(s): 
	if t[i] == s[j]:
		i += 1
		j += 1
	elif s[j] == 'A':
		j += 1
	else:
		print 'NO'
		exit()
while j < len(s):
	if s[j] == 'A':
		j += 1
	else:
		break
if i == n and j == len(s):
	print 'YES'
else:
	print 'NO'
	

