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 Python (3.8.2) (judge verdict: Wrong Answer)

k = int(input())
a, b = map(int, input().split())

if b - a >= k - 1:
  print("OK")
elif  k == 1:
  print("OK")
elif b == k or a == k:
  print("OK")
elif b % k == 0 or a % k == 0:
  print("OK")
elif a < k < b:
  print("OK")
elif a != b and k == 2:
  print("OK")
else:
  print("NG")