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
#include<bits/stdc++.h>
using namespace std;
int n,a,b;
int main(){
	cin>>n>>a>>b;
	for(int i=a;i<=b;i++)
	if(i%n==0)
	{
	cout<<"OK";
	return 0;
	}
	
	cout<<"NG";
	return 0;
}