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.
if __name__ == '__main__':
    n = int(input().strip())
    if n == 1:
        print(1)
    elif n == 2:
        print(2)
    elif n == 3:
        print(6)
    else:
        if n & 1:
            print(n * (n - 1) * (n - 2))
        else:
            ma = 0
            for i in range(n - 50, n):
                ma = max(ma, i * (i + 1) * (i + 2))
            print(ma)
