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()
n = len(s)
if s.count("A") <= 4 and s.replace("A", "") == "KIHBR":
    for i in range(1, n):
        if s[i] == "A" and s[i - 1] not in ["H", "B", "R"]: 
            print("NO")
            break
    else:
        print("YES")
else:
    print("NO")