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()
b=S.replace("A","")=="KIHBR"
if b:
    L=list(map(len, "".join("*" if s!="A" else s for s in S).split("*")))
    X=[1,0,0,1,1,1,1]
    b&=all(L[i]<=X[i] for i in range(len(L)))
print("YNEOS"[not b::2])