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()
C = len(S)
M = S.replace("A","")
A = "AKIHABARA"
B = A.replace("A","")
P = 0

for i in range (C-1):
	if S[i] == "A":
		if S[i+1] == "A":
			P=100
	if S[i] == "K":
		if S[i+1] != "I":
			P=200
	if S[i] == "I":
		if S[i+1] != "H":
			P=200
if B==M and P<=4:
	print("YES")
else:
	print("NO")