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;

map<char, int> cnt;
char S[114514];
bool allowed[256];
string A = "AKIHABARA";

int main() {
  scanf("%s", S);

  int lim = 1 << 4;
  for (int st=0; st<lim; st++) {
    string T;
    int idx = 0;
    for (int i=0; i<9; i++) {
      if (A[i] == 'A') {
        if (st >> idx & 1) T += 'A';
        idx++;
      } else {
        T += A[i];
      }
    }

    if (T == S) {
      puts("YES");
      return 0;
    }
  }

  puts("NO");
}
