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 {
	@SuppressWarnings("resource")
	public static void main(String[] args) {
		Scanner sc=new Scanner(System.in);
		long K=sc.nextLong();
		long A=sc.nextLong();
		long B=sc.nextLong();
		for(int i=(int) A;i<=B;i++) {
			if(i%K==0) {
				System.out.println("OK");
				System.exit(0);
			}
		}
		System.out.println("NG");

		}
}
