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 scanner = new Scanner(System.in);

int k=scanner.nextInt();
int a=scanner.nextInt();
int b=scanner.nextInt();

for(int i=a;i<=b;i++) {
	if(i%k==0) {
		System.out.println("OK");
		break;
	}
	if(i==b
			) {
		System.out.println("NG");
		break;
	}

}
}
	  }