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()
AKI='AKIHABARA'
AKI=list(AKI)
List=[0,4,6,8]
for i in range(1<<4):
  for j in range(4):
    if i&(1<<j):
      AKI[List[j]]='A'
    else:
      AKI[List[j]]=''
    if S==''.join(AKI):
      print('YES')
      exit()
else:
  print('NO')