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()
ans=set()
def two(k):
	 qq="0"*(9-len(bin(k)[2:]))+bin(k)[2:]
	 return qq

for i in range(1,2**9):
	p=""
	for j in range(9):
		if two(i)[j]=="1":
			p+="AKIHABARA"[j]
		if "KI" in p and "H" in p and "B" in p and "R" in p:
			ans.add(p)
if s in ans:
	print("YES")
else:
	print("NO")