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()
let = ['KIH','B','R','']
ans = 'NO'
for i in range(2**4):
    cand = ''
    for j in range(4):
        if (i >> j) & 1 == 1:
            cand += 'A'
        cand += let[j]
    if cand == S:
        ans = 'YES'
        break
print(ans)