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((a%k!= 0)&&(b%k!=0)&&(b-a < k)){
for(i = 0;i <= k ;i++){
a += i;
a %= k;
if(a == 0) printf("OK");
break;}}
else if(a%k == 0||b%k==0)printf("OK");
else if (b-a >= k)printf("OK");
else printf("NG");
}