Some days ago, I learned the concept of LCM (least common multiple). I've played with it for several times and I want to make a big number with it.

But I also don't want to use many numbers, so I'll choose three positive integers (they don't have to be distinct) which are not greater than *n*. Can you help me to find the maximum possible least common multiple of these three integers?
The first line contains an integer *n* (1 ≤ *n* ≤ 10<sup class="upper-index">6</sup>) — the *n* mentioned in the statement.
import math

def lcm(a, b):
    return a * b // math.gcd(a, b)

n = int(input())

if n == 1:
    print(1)
elif n == 2:
    print(2)
else:
    if n % 2 == 1:
        print(n * (n - 1) * (n - 2))
    else:
        res = 0
        for i in range(max(n - 50, 3), n + 1):
            for j in range(max(n - 50, 3), n + 1):
                for k in range(max(n - 50, 3), n + 1):
                    res = max(res, lcm(i, lcm(j, k)))
        print(res)
