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()
if s.replace("A","") == "KIHBR":
    befores = list("HBR")
    flg = True
    for i, _s in enumerate(s[1:], 1):
        if _s == "A" and s[i-1] not in befores:
            flg = False
    print("YES" if flg else "NO")
else:
    print("NO")