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()
A = "KIHABARA".split("A")
for i in range(2**4):
  ans = ""
  for j in range(4):
    if (i>>j)&1: ans += "A"
    ans += A[j]
  if S == ans:
    print("YES")
    break
else:
  print("NO")