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()
p="AKIHABARA"
c=[0,4,6,8]
for i in range(16):
    t=bin(i)[2:]
    t="0"*(4-len(t))+t
    d=p[:]
    for j in range(4):
        if t[j]!="1":
            d=d[:c[j]]+"?"+d[c[j]+1:]
    else:
        if d.replace("?","")==s:
            print("YES")
            break
else:
    print("NO")