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
x = 'KIHBR'
T = []
for i in range(1<<6):
    t = ''
    for j in range(6):
        if i&(1<<j) and j != 1 and j != 2:
            t += 'A'
        if j != 5:
            t += x[j]
    T.append(t)
S = input()
if S in T:
    print('YES')
else:
    print('NO')
