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
import java.util.Scanner;
public class Main{
  public static void main(String[] args){
    Scanner sc = new Scanner(System.in);
    String s=sc.next();
    boolean flag=false;
    if(s.equals("KIHBR"))flag=true;
    if(s.equals("KIHBRA"))flag=true;
    if(s.equals("KIHBAR"))flag=true;
    if(s.equals("KIHBARA"))flag=true;
    if(s.equals("KIHABR"))flag=true;
    if(s.equals("KIHABRA"))flag=true;
    if(s.equals("KIHABAR"))flag=true;
    if(s.equals("KIHABARA"))flag=true;
    if(s.equals("AKIHBR"))flag=true;
    if(s.equals("AKIHBRA"))flag=true;
    if(s.equals("AKIHBAR"))flag=true;
    if(s.equals("AKIHBARA"))flag=true;
    if(s.equals("AKIHABR"))flag=true;
    if(s.equals("AKIHABRA"))flag=true;
    if(s.equals("AKIHABAR"))flag=true;
    if(s.equals("AKIHABARA"))flag=true;

    if(flag) {
    	System.out.println("YES");
    }else {
    	System.out.println("NO");
    }
  }
}
