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 <bits/stdc++.h>
using namespace std;



int main(){
  
  string S;
  cin>>S;
  if(S=="AKIHABARA"||S=="AKIHABAR"||S=="AKIHABRA"
     ||S=="AKIHBARA"||S=="KIHABARA"||S=="AKIHABR"
     ||S=="AKIHBAR"||S=="KIHABAR"||S=="AKIHBRA"
     ||S=="KIHABRA"||S=="KIHBARA"||S=="AKIHBR"
     ||S=="KIHABR"||S=="KIHBAR"||S=="KIHBRA"||S=="KIHBR"){
    cout<<"YES"<<endl;
  }
  else cout<<"NO"<<endl;
    
      
  
}