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()
l = ["KIHBR", "KIHBRA", "KIHBAR", "KIHBARA", "KIHABR", "KIHABRA", "KIHABAR", "KIHABARA", "AKIHBR", "AKIHBRA", "AKIHBAR", "AKIHBARA", "AKIHABR", "AKIHABRA", "AKIHABAR", "AKIHABARA"]
if s in l:
  print("YES")
else:
  print("NO")