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;
 
string t[16]={"KIHBR", "KIHBRA", "KIHBAR", "KIHBARA", "KIHABR", "KIHABRA", "KIHABAR", "KIHABARA", "AKIHBR", "AKIHBRA", "AKIHBAR", "AKIHBARA", "AKIHABR", "AKIHABRA", "AKIHABARA"};
 
int main(){
    string s;
    cin >> s;
    bool flag = false;
    for(int i=0;i<16;++i){
        if(s == t[i]){
            flag = true;
            break;
        }
    }
    if(flag)cout << "YES" << endl;
    else cout << "NO" << endl;
 
    return 0;
}