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 str;
  cin >> str;
  bool chk = true;
  int index = 0;
  
  if(str.size() < 5){
    cout << "NO";
    return 0;
  }
  
  if(str.at(0) != 'A'){
    str = 'A' + str;
  }
  
  if(str.at(4) != 'A'){
    str = str.substr(0,4) + 'A' + str.substr(4);
  }
  
  if(str.at(6) != 'A'){
    str = str.substr(0,6) + 'A' + str.substr(6);
  }
  
  if(str.size() == 8){
    str = str + 'A';
  }

  if(str == "AKIHABARA") cout << "YES";
  else cout << "NO";
}
