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
from sys import stdin
S = stdin.readline().rstrip()
flag = 0 
if 'AA' in S:
    flag = 1
if 'KA' in S:
    flag = 1
if 'IA' in S:
    flag = 1
if S.replace('A', '') != 'KIHBR':
    flag = 1
if flag:
    print('NO')
else:
    print('YES')