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=["KIHBR","KIHBRA","KIHBAR","KIHBARA",
  "KIHABR","KIHABRA","KIHABAR","KIHABARA",
  "AKIHBR","AKIHBRA","AKIHBAR","AKIHABRA",
  "AKIHABR","AKIHABRA","AKIHABAR","AKIHABARA"]
ans=0
for i in range(16):
  if(S==T[i]):
    ans=1
if(ans):
  print("YES")
else:
  print("NO")

