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()

flag=True
KIHBR="KIHBR"
s_new=s.replace("A", "")
if len(s_new)!=5:
    flag=False
else:
    for i in range(5):
        if s_new[i]!=KIHBR[i]:
            flag=False
            break

if s.count("AA")>0 or s.count("KIH")!=1:
    flag=False

print("YES" if flag else "NO")
