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 sc = new Scanner(System.in);
		int k =  Integer.parseInt(sc.next());
		int a =  Integer.parseInt(sc.next());
		int b =  Integer.parseInt(sc.next());
		
		String ans = "NG";
		for(int i = a ; i <= b ; i++) {
			if(i % k == 0) {
				ans = "OK";
				break;
			}
			
		}
		
		System.out.println(ans);
		
	}
	
}