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
akiba = ["KIH", "B", "R", ""]
s=input()
for bit in range(2**4):
    a=""
    for i in range(4):
        if bit>>i & 1:
            a+="A"
        a+=akiba[i]
    if s==a:
        print("YES")
        exit()
    
print("NO")