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()
l = len(s)
f = 0
if l <= 9:
    for i in range(1 << l + 1):
        ans = ""
        for j in range(l + 1):
            if i >> j & 1: ans += 'A'
            if j < l: ans += s[j]
        if ans == "AKIHABARA":
            f = 1
else: f = 0

if f: print("YES")
else: print("NO")
