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: Accepted)

'use strict';
function main(input) {
  const
    arr = input.trim().split('\n'),
    a = Number(arr[0]),
    b = arr[1].split(' ').map(x => Number(x));
  let 
    isPossible = false;

  for (let i = b[0]; i <= b[1]; i ++) {
    if (i % a === 0) {
      isPossible = true;
      break;
    }
  }
  
  console.log(isPossible ? 'OK' : 'NG');
}

main(require('fs').readFileSync('/dev/stdin', 'utf8'));