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()
if len(S) > 9:
    print('NO')
    exit()

if S.replace('A', '') != 'KIHBR':
    print('NO')
    exit()

for i in range(1, len(S)):
    if S[i] == 'A' and S[i-1] not in ('H', 'B', 'R'):
        print('NO')
        exit()

print('YES')
