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()
akh=list("AKIHABARA")
lis=[]
a=[0,4,6,8]
for i in range(16):
    akh=list("AKIHABARA")
    for j in range(4):
        if (i>>j) & 1:
            akh[a[j]]=""
    lis.append("".join(akh))
if S in lis:print("YES")
else:print("NO")