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;

/**
 * We Love Golf.
 */
public class Main {
    public static void main(String[] args) {
        var scanner = new Scanner(System.in);
        var k = Integer.parseInt(scanner.next());
        var a = Integer.parseInt(scanner.next());
        var b = Integer.parseInt(scanner.next());

        System.out.println(k * (b / k) >= a ? "OK" : "NG");
    }
}
