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.
c = int(input())
if c == 1 or c == 2:
    print(c)
else:
    if c % 2 != 0:
        print(c * (c - 1) *( c - 2))
    else:
        print(max((c * (c - 1) * (c - 3)), ((c - 1) * (c - 2) * (c - 3))))