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=list("AKIHABARA".split("A"))[1:-1]

for ii in range(2**4):
  p="A" if ii%2 else ""
  i=ii
  for j in range(3):
    p+=l[j]
    i//=2
    p+="A" if i%2 else ""
  if s==p:print("YES");exit()
print("NO")