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 sc = new Scanner(System.in);
	final int X = sc.nextInt();
    int X2 = X;
    int A = sc.nextInt();
    int B = sc.nextInt();
      while(X2 <= 1000){
        if(X2 >= A && X2 <= B){
          System.out.println("OK");
          return;
        }
        X2 += X;
        
      }
      System.out.println("NG");
	}
}
