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 Ruby (2.7.1) (judge verdict: Accepted)

k = gets.to_i
 
AB = gets
arrayAB = AB.split(" ")
 
IntA = arrayAB[0].to_i
IntB = arrayAB[1].to_i
 
message = ""
 
for i in IntA..IntB do   
  if i % k ==  0
    message = "OK"
    break
  end
end
 
if message.empty?
	message = "NG"
end
 
puts(message)