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 stdIn = new Scanner(System.in);
    
    int K = stdIn.nextInt();
    int a = stdIn.nextInt();
    int b = stdIn.nextInt();
    
    int t = 0;
    for(int i = a;i <= b;i++){
		 if(i % K == 0)
           t++;
    }
    if(t > 0)
      System.out.println("OK");
    else
      System.out.println("NG");
  }
}
