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,a,b;
		k = sc.nextInt();
		a = sc.nextInt();
		b = sc.nextInt();
		int flag=0;
      
		for(int i=a;i<=b;i++) {
			if(i%k==0) {
				flag=1;
				break;
			}
		}
      
	if(flag==1)System.out.println("OK");
	else System.out.println("NG");
		sc.close();
	}
}