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;

class Main{
 public static void main(String args[]){
   Scanner sc = new Scanner(System.in);
   int k = sc.nextInt();
   int a = sc.nextInt();
   int b = sc.nextInt();
   
   boolean flag=false;
   for(int i=a;i<=b;i++){
     if(i%k==0){
     flag=true;
       break;
     }
   }
   if(flag){
     System.out.println("OK");
   }
   else{
     System.out.println("NG");
   }
   
 
 }
}
