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
a = [str(i) for i in input()]

if len(a) > 10:
	print("NO")
	exit()

for bit in range(2 ** (len(a)+1)):
	s = a.copy()

	for i in range(0,len(a)+1):
		if (bit >> i) & 1:
			s.insert(i*2, "A")
			
	if "".join(s) == "AKIHABARA":
		print("YES")
		exit()

print("NO")

	