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()
ans=[]
for i in range(len(s)):
    if s[i]!='A':
        ans+=s[i]

if ''.join(ans)=='KIHBR' and len(s)<=9 and 'AA' not in s and 'AAA' not in s and 'AAAA' not in s and 'KIH' in s:
    print('YES')
else:
    print('NO')