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 = list('AKIHABARA')
ap = [0, 4, 6, 8]
l = []

for i in range(2 ** 4):
    for j in range(4):
        if i >> j & 1 == 1:
            A[ap[j]] = ''
    l.append(''.join(A))
    A = list('AKIHABARA')

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