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 = list(input())
T = list("AKIHABARA")
ans = "YES"
i = 0
while i < len(S) and i < 9:
    if S[i] != T[i]:
        if T[i] == "A":
            S.insert(i,"A")
    i += 1
if S[-1] != "A":
    S += "A"

if S == T:
    print("YES")
else:
    print("NO")
