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>
#define rep(i,x,n) for(int i=x; i<(int)(n); i++)
#define rep_eq(i,x,n) for(int i=x; i<=(int)(n); i++)
using namespace std;

using ll=long long;

using vi=vector<int>;
using vll=vector<ll>;
using vvi=vector<vi>;

int main() {
  string S; cin >>S;
  bool a=regex_match(S,regex("A?KIHA?BA?RA?"));
  cout <<(a ? "YES":"NO") <<endl;
  return 0;
}
