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 Scala (2.13.1) (judge verdict: Wrong Answer)

object Main extends App {
  import io.StdIn._
  
  val k = readInt()
  val Array(a, b) =
    readLine()
      .split(" ")
      .map(_.toInt)
    
  var m = a
  var pass = false
  while (m <= b && !pass) {
    if (m % k == 0)
      pass = true

    m += 1
  }

  println {
    if (pass) "OK"
    else "NO"
  }
}