#include<stdio.h>
int main(){
	int k,a,b;
	scanf("%d%d%d",&k,&a,&b);
	while(a<=b){
		if(a%k==0){
			puts("OK");
			return 0;
		}
		++a;
	}
	puts("NG");
}
### 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<stdio.h>
int main(){
	int k,a,b;
	scanf("%d%d%d",&k,&a,&b);
	while(a<=b){
		if(a%k==0){
			puts("OK");
			return 0;
		}
		++a;
	}
	puts("NG");
}
```