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()
t="AKIHABARA"
pos=0
for i in range(len(t)):
  while pos<len(s):
    if t[i]==s[pos]:
      pos+=1
      break
    else:
      break
if pos!=len(s):
  print('NO')
else:
  if "K" in s and "I" in s and "H" in s and "B" in s and "R" in s:
    print('YES')
  else:
    print('NO')