#include <iostream>

int main()
{
	int A, B, K;
	std::cin >> K >> A >> B;
	B -= A-1;
	B += (A-1) % K;
	if (B < K) {
		std::cout << "NG";
	}
	else {
		std::cout << "OK";
	}
}
### Prompt

Your task is to create a Cpp solution to 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 <iostream>

int main()
{
	int A, B, K;
	std::cin >> K >> A >> B;
	B -= A-1;
	B += (A-1) % K;
	if (B < K) {
		std::cout << "NG";
	}
	else {
		std::cout << "OK";
	}
}
```