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()

if len(s) < 5:
    print("NO")
    exit()

for i in range(0, 9, 2):
    if i == 8 and len(s) <= 8:
        s = s[:i] + "A" + s[i:]
    elif i != 2:
        if s[i] != "A":
            s = s[:i] + "A" + s[i:]
if s == "AKIHABARA":
    print("YES")
else:
    print("NO")