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()
a=[["","A"],["","A"],["","A"],["","A"]]
for i in range(16):
    num=[]
    for j in range(4):
        num.append(i%2)
        i=i//2
    x=a[0][num[0]]+"KIH"+a[1][num[1]]+"B"+a[2][num[2]]+"R"+a[3][num[3]]
    if s==x:
        print("YES")
        exit()
print("NO")
