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: Runtime Error)

import itertools
N, M, Q = map(int, input().split())
m = list()
res = -100
for i in range(Q):
    n = list(map(int, input().split()))
    m.append(n)
l = [x for x in range(1, M + 1)]
p = itertools.combinations_with_replacement(l, N)
for p in p:
    total = 0
    for i in range(Q):
        num = 0
        a = m[i][0]
        b = m[i][1]
        A = p[a - 1]
        B = p[b - 1]
        C = B - A
        if m[i][2] == C:
            num = num + m[i][3]
            total = total + num
    if res < total:
        res = total
print(res)