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()
akb = 'AKIHABAR'
if len(S) <= len(akb)+1:
  i = 0
  for a in akb:
    if i >= len(S):
      print('NO')
      exit()
    if S[i] == a: i+=1
    elif S[i] != a and a == 'A': continue
    else:
      print('NO')
      exit()
  print('YES')
else:
  print('NO')

