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 = ["AKIHABARA", "KIHABARA", "AKIHBARA", "AKIHABRA", "AKIHABAR",
     "KIHBARA", "KIHABRA", "KIHABAR", "AKIHBRA", "AKIHBAR", "AKIHABR",
     "KIHBRA", "AKIHBR", "KIHABR", "KIHBAR", "KIHBR"]
if S not in L:
  print("NO")
else:
  print("YES")