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 JavaScript (Node.js 12.16.1) (judge verdict: Wrong Answer)

"use strict";

function main(input) {
  input = input.split("\n");
  let tmp = input[1].split(" ");
  let a = tmp[0];
  let b = tmp[1];
  for (a; a <= b; a++) {
    const res = a % input[0];
    if (res === 0) {
      console.log("OK");
      return;
    }
  }
  console.log("NG");
}

main(require("fs").readFileSync("/dev/stdin", "utf-8"));