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.Scanner;

public class Main{
 public static void main(String[] args) {
   Scanner kbd =new Scanner(System.in);
   int k=kbd.nextInt();
   int a=kbd.nextInt();
   int b=kbd.nextInt();
   int x=1;
 for(int i=1;i<=1000;i++){
   if(a<=k*i&&k*i<=b){
     System.out.println("OK");
      x=0;
     break;
   }
 }
  if(x==1){System.out.println("NG");
}}
 }
