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 solve():
    n = int(input())
    if n == 1:
        return 1
    if n == 2:
        return 2
    if n == 3:
        return 6

    if n % 2 == 1:
        return n * (n - 1) * (n - 2)
    
    if n % 3 == 0:
        return (n - 1) * (n - 2) * (n - 3)
    
    return n * (n - 1) * (n - 3)
    
print(solve())
