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 INF 1e9
using namespace std;

signed main(){
    ios::sync_with_stdio(false);
    cin.tie(0);

    string s;
    cin>>s;
    if(s=="KIHBR" || s=="KIHBRA" || s=="KIHBAR" || s=="KIHBARA" || s=="KIHABR" || s=="KIHABRA" || s=="KIHABARA" || s=="AKIHBR" || s=="AKIHBRA" || s=="AKIHBAR" || s=="AKIHBARA" || s=="AKIHABR" || s=="AKIHABRA" || s=="AKIHABAR" || s=="AKIHABARA")cout<<"YES"<<endl;
    else cout<<"NO"<<endl;
}