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=str(input())
s=list(s)
if s[0]!="A":
  s.insert(0,"A")
if len(s)>=5:
  if s[4]!="A":
    s.insert(4,"A")
if len(s)>=7:
  if s[6]!="A":
    s.insert(6,"A")
if s[len(s)-1]!="A":
  s.append("A")
if "".join(s)=="AKIHABARA":
  print("YES")
else:
  print("NO")