Score : 300 points

Problem Statement

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.

Sample Input 1

KIHBR

Sample Output 1

YES

Insert one A at each of the four positions: the beginning, immediately after H, immediately after B and the end.

Sample Input 2

AKIBAHARA

Sample Output 2

NO

The correct spell is AKIHABARA.

Sample Input 3

AAKIAHBAARA

Sample Output 3

NO