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 ll long long 
int ctoi(char c) {return c-'0';}// char to int
int gcd(ll a,ll b){return b?gcd(b,a%b):a;}//MAX
int lcm(ll a,ll b){return a*b/gcd(a,b);}//MIN
 string s;
int  main(){
string ans ="AKIHABARA";

cin >> s;
  for(int i=0;i<9;i++){
    if(s[i]!=ans[i]) {
    s.insert(i,"A");
    }
  }
if(s==ans)cout<<"YES"<<endl;
else{
    cout << "NO"<<endl;
}
}
 
