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 s = new Scanner(System.in);
		int K = s.nextInt();
		int A = s.nextInt();
		int B = s.nextInt();
		
		boolean ans = false;
		for(int i=A; i<=B; i++) {
			if(i%K == 0) {
				ans = true;
				break;
			}
		}
		
		if(ans) {System.out.println("OK");}
		else {System.out.println("NG");}

		
	}

}
