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;
#define _GLIBCXX_DEBUG
#define rep(i,n) for(long long i = 0; i < (n); ++i)
#define ll long long
#define P pair<ll,ll>
#define all(v) (v).begin(),(v).end()

const ll mod = 1e9+7;
const ll INF = 1e18;
const double pi = acos(-1.0);

int main(void)
{
    string s; cin>>s;
    bool ok=true;
    regex check("A?KIHA?BA?RA?");
    if(regex_match(s,check)) cout<<"YES"<<endl;
    else cout<<"NO"<<endl;
    return 0;
}