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.lang.reflect.Array;
import java.math.BigInteger;
import java.util.Collection;
import java.util.Scanner;
import java.util.Arrays;
import java.util.*;
class  Main{
  public   static  void main(String[]args){
Scanner in =new Scanner(System.in);
int k=in.nextInt();
int a=in.nextInt();
int b=in.nextInt();
int l=(b/k)*k;
if (a<=l) {
  System.out.print("OK ");
} else System.out.print("NG");}}