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()

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