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>
#include <algorithm>
#include <vector>
#include <map>
#include <set>
#include <string>
#include <queue>
#include <list>
#include <cmath>
#include <stack>
#include <regex>

using namespace std;
typedef long long ll;
using Pll = pair<ll,ll>;

int main() {
    string s;
    cin >> s;
    regex re("A?KIHA?BA?RA?");
    bool res=regex_match(s,re);
    cout << (res?"YES":"NO") << endl;
    return 0;
}