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 gcd


def main():
    n = int(input())

    res = n * (n - 1)
    for i in range(n-2, -1, -1):
        if gcd(i, n) == 0:
            print(res * i)
            return


def input(): return next(test).strip()
def read_ints(): return [int(c) for c in input().split()]
def print_lines(lst): print('\n'.join(map(str, lst)))


if __name__ == "__main__":
    import sys
    from os import environ as env
    if 'COMPUTERNAME' in env and 'L2A6HRI' in env['COMPUTERNAME']:
        sys.stdout = open('out.txt', 'w')
        sys.stdin = open('in.txt', 'r')

    test = iter(sys.stdin.readlines())

    main()
