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 itertools import product, combinations
from math import sqrt, gcd, ceil

INF = int(1e9 + 1)


if __name__ == '__main__':
    n = int(input())
    if n <= 2:
        print(n)
    elif n % 2 == 1:
        print(n * (n - 1) * (n - 2))
    else:
        print(max((n - 3) * (n - 2) * (n - 1), n * (n - 1) * (n - 2) // 2))
        

