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()

cand = set()
def make(F, B):
    if len(B) == 0:
        cand.add(F)
        return
    if B[0] == "A":
        make(F, B[1:])
    make(F + B[0], B[1:])

make("", "AKIHABARA")

if S in cand:
    print("YES")
else:
    print("NO")