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)

<?php
//error_reporting(0);
$N = (int)trim(fgets(STDIN));
//$S = trim(fgets(STDIN));
list($A,$B) = array_map('intval',explode(" ",trim(fgets(STDIN))));
//$s = trim(fgets(STDIN));
//$A = array_map('intval',explode(" ",trim(fgets(STDIN))));

$x = intdiv($A,$N);
if (($x * $N)==$A) {
  printf("Yes\n");
  exit;
}
$x = ($x+1) * $N;
if ($x <= $B) {
  printf("Yes\n");
}
else {
  printf("No\n");
}