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: Accepted)

<?php
# 入力部
fscanf(STDIN, "%d", $k);
fscanf(STDIN, "%d %d", $a, $b);
// $s1 = fgets(STDIN); //"\n"の2文字
// $s2 = fgets(STDIN);
// fscanf(STDIN, "%d", $n);
// fscanf(STDIN, "%s", $s);
// fscanf(STDIN, "%s", $s2);

# 処理部
// $arr1 = str_split($s1);
// $arr2 = str_split($s2);
// $arr1 = explode(" ", $s1);
// $arr2 = explode(" ", $s2);
// for ($i = 0; $n > $x * $i; $i++) {
// }
// if (strpos($s, 'RRR') !== false) {
//   $r = 3;
// } elseif (strpos($s, 'RR') !== false) {
//   $r = 2;
// } elseif (strpos($s, 'R') !== false) {
//   $r = 1;
// } else {
//   $r = 0;
// }
// $s = "No";
// if ($x >= 30) {
//   $s = "Yes";
// }
// for ($i = 0; $i * 1000 < $n; $i++) {
// }
// $c = "a";
// if (ctype_upper($a)) {
//   $c = "A";
// }
// $s = "Yes";
// echo count($arr1);
// for ($i = 0; $i < strlen($s1); $i++) {
//   if ($arr1[$i] != $arr2[$i]) {
//     $s = "No";
//   }
// }
// $unit;
// switch ($n % 10) {
//   case 0:
//   case 1:
//   case 6:
//   case 8:
//     $unit = "pon";
//     break;
//   case 3:
//     $unit = "bon";
//     break;
//   default:
//     $unit = "hon";
//     break;
// }
// if ($s == "ABC") {
//   $r = "ARC";
// } else {
//   $r = "ABC";
// }
$r = "NG";
for ($i = $a; $i <= $b; $i++) {
  if ($i % $k == 0) {
    $r = "OK";
  }
}

# 出力部
echo $r . "\n";
// echo ($i * 1000) - $n . "\n";