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 PHP (7.4.4) (judge verdict: Wrong Answer)

//fgets(STDIN, '%d%d%d', $k,$a,$b);
$input = fgets(STDIN);
$k = (int)explode('', $input)[0];
$a = (int)explode('', $input)[1];
$b = (int)explode('', $input)[2];

for($i = $a; $i < $b; $i++) {
  $n = $i % $k;
  if (($i % $k) === 0 && $i > $a && $i <$b) {
    echo 'OK';
  }else {
    echo 'NO';
  }
}