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(){
    int i, j = 0;
    string s, t = "AKIHABARA";
    cin >> s;
    s += " ";
    for(i=0; i<9; i++){
        if(s[j] == t[i]){
            j++;
        }else if(t[i] != 'A'){
            cout << "NO";
            return 0;
        }
    }
    if(s.length()-1 == j){
        cout << "YES";
    }else{
        cout << "NO";
    }
    return 0;
}