#include<cstdio>
int main(){

	int k, a, b;
	scanf("%d",&k);
	scanf("%d %d",&a, &b);

	int x = b%k;
	if(b-x >= a){
		printf("OK");
	}else
		printf("NG");

	return 0;
}
### Prompt

Create a solution in CPP for the following problem:

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

### Response

```cpp
#include<cstdio>
int main(){

	int k, a, b;
	scanf("%d",&k);
	scanf("%d %d",&a, &b);

	int x = b%k;
	if(b-x >= a){
		printf("OK");
	}else
		printf("NG");

	return 0;
}
```