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()
l = []
pattern = [format(i, 'b').zfill(4) for i in range(2 ** 4)]

for i in pattern:
    tmp = list(map(int, list(i)))
    l.append('A' * tmp[0] + 'KIH' + 'A' * tmp[1] + 'B' + 'A' * tmp[2] + 'R' + 'A' * tmp[3])

if S in l:
    print('YES')
else:
    print('NO')