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)>10:
    print('NO')
    exit()

for bit in range(2**(len(s)+1)):
    T = ""
    for j in range(len(s)+1):
        if ((bit >> j) & 1):
            T += "A"
        if j<(len(s)):
            T += s[j]
    if T=='AKIHABARA':
        print('YES')
        exit()

print('NO')    