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.*;
public class Main{

  
  public static void main(String[] args){
  
    Scanner s=new Scanner(System.in);
    int n=s.nextInt();
    int k=s.nextInt();
    int ss=s.nextInt();
    if(k%n==0 || ss%n==0){System.out.println("OK" );}
    else if(  (int)(k/n) == (int)(ss/n)  ){
    System.out.println("NG");}
    else{System.out.println("OK");}
  
  }
  
}