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.io.IOException;
import java.util.Scanner;

public class Main {

	public static void main(String[] args) throws IOException {
		Scanner sc = new Scanner(System.in);
		
		int k  = sc.nextInt();

		int a  = sc.nextInt();
		int b  = sc.nextInt();
		
		int di = a/k;
		int re = a%k;
		
		if( re != 0 ) di += 1;
		System.out.println( di*k <= b ? "OK" : "NG");
	}
	
	
}
