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,T="AKIHABARA";cin>>S;
  int i,j=0;
  for(i=0;i<9;i++){
    if(j<S.size()&&S.at(j)==T.at(i))j++;
    else if(T.at(i)!='A')break;
  }
  if(i==9&&S.size()<10)cout<<"YES"<<endl;
  else cout<<"NO"<<endl;
}