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())
A = list("AKIHABARA")
B = list("AKIHABARA")
j = 0
for i in range(9):
    if j == len(S):
        A[i] = "A"
    elif S[j] == A[i]:
        j += 1
    else:
        A[i] = "A"

if A == B and j == len(S):
    ans = "YES"
else:
    ans = "NO"
print(ans)
