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 <iostream>
using namespace std;
int main(void){
    string a;
    cin>>a;
    if(a=="KIHBR"||a=="AKIHBR"||a=="KIHABR"||a=="KIHBAR"||a=="KIHBRA"||a=="AKIHABR"||a=="AKIHBAR"||
    a=="KIHBRA"||a=="KIHABAR"||a=="KIHABRA"||a=="KIHBARA"||a=="AKIHABAR"||a=="AKIHABRA"||a=="AKIHBARA"||
    a=="KIHABARA"||a=="AKIHABARA"){
        cout<<"YES";
    }
    else cout<<"NO";
    
}
