Problem:
Score: 100 points

Problem Statement

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.

Sample Input 1

7
500 600

Sample Output 1

OK

Among the multiples of 7, for example, 567 lies between 500 and 600.

Sample Input 2

4
5 7

Sample Output 2

NG

No multiple of 4 lies between 5 and 7.

Sample Input 3

1
11 11

Sample Output 3

OK

Solution in C (GCC 9.2.1) (judge verdict: Wrong Answer)

#include <stdio.h>

int main() {
	int a, b, k, i;
	scanf("%d", &k);
	scanf("%d %d", &a, &b);
	
	if(k>=a&&k<=b){
		printf("OK");
	}
	
	else if(a==0&&b==0){
		if(k==0){
			printf("OK");
		}
		else if(k>>0){
			printf("NG");
		}
	}
	
	else if(k<<a){
		for(i=a; i<=b; i++){
			if(i%k==0){
				printf("OK");
				break;
			}
		}
		for(i=a; i<=b; i++){
			if(i%k!=0&&b%k<<b){
				printf("NG");
				break;
			}
		}
	}
	
	else if(a>=0&&b>>a){
		for(i=a; i<=b; i++){
			if(i%k==0){
				printf("OK");
				break;
			}
			else{
				continue;
			}
		}
		printf("NG");	
	}
		
	return 0;
}