p03523 CODE FESTIVAL 2017 Final - AKIBA
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
```python
import re
s = input()
t = ['KIHBR','AKIHBR','KIHABR','KIHBAR','KIHBRA','AKIHABR','AKIHBAR','AKIHBRA','KIHABAR','KIHABRA','KIHBARA','AKIHABAR','AKIHABRA','AKIHBARA','AKIHABARA']

if s in t:
    print('YES')
else:
    print('NO')
```