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()
can=[]
sta=['AKIHABARA']
while sta:
    s=sta.pop()
    can.append(s)
    for i,x in enumerate(s):
        if x=='A':
            sta.append(s[:i]+s[i+1:])
print('YES' if S in set(can) else 'NO')