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;


class Main{
 public static void main(String[] args){
 Scanner stdIn = new Scanner(System.in);
 //数値の入力
 int K = stdIn.nextInt(); //倍数
 int A = stdIn.nextInt();
 int B = stdIn.nextInt();
 
 //計算
 int num = 0;
 
 for (int i = 0; i <= (B / K); i++){
   if( i * K >= A)
    num = num +1;
 }
 
 if(num > 0)
  System.out.println("OK");
 else
  System.out.println("NG");
 }
}
