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 = 'AKIHABARA'
a = list(a)
idxs = [0, 4, 6, 8]
for i in range(2**4):
    for j in range(4):
        a[idxs[j]] = 'A' if i>>j&1 else ''
        if s==''.join(a):
            print('YES')
            exit(0)
print('NO')