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)

function Main(k, a, b) {
    let result = 'NG';

    for (let i = 1; k * i <= 1000; i += 1) {
        if (a <= (k * i) && (k * i) <= b) {
            result = 'OK';
            break;
        }
    }  
}

Main(require("fs").readFileSync("/dev/stdin", "utf8"));