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.*;
public class Main {
	public static void main(String[] args){
		Scanner sc=new Scanner(System.in);
		
		int k=sc.nextInt();
		int a=sc.nextInt();
		int b=sc.nextInt();
		
		int c=k;
		int flag=0;
		
		while(c<=b){
			
			if(a<=c && c<=b){
				System.out.println("OK");
				System.exit(0);
				
			}
			c+=k;
			
		}
		//System.out.println(c);
		System.out.println("NG");
		
		

		
	}
	
}
