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