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
AKIBA = 'AKIHABARA'
s = input()

if s.replace('A', '') != 'KIHBR':
    print('NO')
    exit()
    
t = len(AKIBA)-len(s)
for i in range(len(AKIBA)):
    if i>len(s)-1 or s[i]!=AKIBA[i]:
        s = s[:i]+'A'+s[i:]
    
if s == AKIBA:
    print('YES')
else:
    print('NO')
