Takahashi the Jumbo will practice golf.

His objective is to get a carry distance that is a multiple of K, while he can only make a carry distance of between A and B (inclusive).

If he can achieve the objective, print `OK`; if he cannot, print `NG`.

Constraints

* All values in input are integers.
* 1 \leq A \leq B \leq 1000
* 1 \leq K \leq 1000

Input

Input is given from Standard Input in the following format:


K
A B


Output

If he can achieve the objective, print `OK`; if he cannot, print `NG`.

Examples

Input

7
500 600


Output

OK


Input

4
5 7


Output

NG


Input

1
11 11


Output

OK
import java.util.*;

class Main{

  public static void main(String args[]){

    Scanner s=new Scanner(System.in);
    int K=s.nextInt();
    int A=s.nextInt();
    int B=s.nextInt();

    System.out.println(K*(A/K)+K<=B||A%K==0?"OK":"NG");
  }  
}