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.
def max_NOK(n):
    if n < 3:
        return n
    if n == 3:
        return 6
    else:
        if n % 2 != 0:
            return n * (n-1) * (n-2)
        elif n % 3 == 0:
            return (n-1) * (n-2) * (n-3)
        else: 
            return n * (n-1) * (n-3)
n = int(input())
print(max_NOK(n))
    