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
#include <stdio.h>

char S[55],T[55]="AKIHABARA";

int main()
{
  scanf ("%s",S);
  int i=0,j=0;
  while (S[i]||T[j]){
if (S[i] == T[j]) i++, j++;
    else if ('A' == T[j]) j++;
    else{
      S[i] = 'a';
      break;
    }
  }
  puts(S[i]?"NO":"YES");
return 0;
}
