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()
t = 'AKIHABARA'
a = 0
b = 0
while b < len(t):
    if a < len(s) and b < len(t) and s[a] == t[b]:
        a += 1
        b += 1
        continue
    if b < len(t) and t[b] == 'A':
        b += 1
        continue
    print('NO')
    exit()
print('YES' if a == len(s) else 'NO')
