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()
n=4
lis=[0,4,6,8]
t=1
for i in range(n**2):
    A=["A","K","I","H","A","B","A","R","A"]
    for j in range(n):
        if((i>>j)&1):
            A[lis[j]]=""
    TMP="".join(A)
    if(TMP==S):
        print("YES")
        t=0
        break
if(t==1):
    print("NO")