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'
if len(s) > len(t):
    print('NO')
    exit()
s += (len(t) - len(s)) * '#'
j = 0
for i in range(len(t)):
    if s[j] == t[i]:
        j += 1
    elif not (s[j] != 'A' and t[i] == 'A'):
        print('NO')
        exit()
print('YES')