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;
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define all(x) x.begin(),x.end()
typedef long long ll;

string s;

int main() {
  cin >> s;
  string t="AKIHABARA";
  rep(i,9){
    if(s[i]!=t[i]) 
    s.insert(i,"A");
  }
  cout << (s==t?"YES":"NO") << endl;
}