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: Accepted)

#include <math.h>
#include <stdarg.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>

typedef unsigned long long int ull;
typedef long long int ll;
typedef long double ld;

int main(void) {
  int scan; // scanf result
  int k; // to input 
  int a; // to input 
  int b; // to input 

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

  for (int i = 0; i <= b - a; i++) {
    if ((a + i) % k == 0) {
      printf("OK");
      return (0);
    }
  }
  
  printf("NG");
  return (0);
}