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=list(input())
A="AKIHABARA"
id=0
for i in range(len(A)):
  if len(S) > i and A[i]==S[i]:
    continue
  else:
    if A[i]=="A":
      S.insert(i,"A")
    else:
      print("NO")
      exit(0)
if "".join(S)==A:
  print("YES")
else:
  print("NO")