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 scan = new Scanner(System.in);
		int K = scan.nextInt();
		int A = scan.nextInt();
		int B = scan.nextInt();
		String result = "NG";

		scan.close();
		do{
		if(A%K==0) {
			result="OK";
		}
			A++;
		}while(result.equals("NG")&&A<=B);
		System.out.println(result);
	}

}