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.*;
import java.util.*;
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 n=1;
    while(n<=(B/K))
    {
      if(A<=(K*n) && (K*n)<=B)
      {
        System.out.print("OK");
        return;
      }
      else
      n++;
    }
    System.out.print("NG");
  }
}