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.
from math import lcm


def solve():
    n = int(input())
    if n == 1:
        print(1)
        return
    if n == 2:
        print(2)
        return
    if n == 3:
        print(6)
        return
    if n&1:
        print(n*(n-1)*(n-2))
        return
    if n%6==0:
        print((n-1)*(n-2)*(n-3))
        return
    if n%2==0:
        print(n*(n-1)*(n-3))


solve()