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.
n=int(input())
g=1
if n%2:
    g*=n*max(1,n-2)*max(1,n-1)

else:
    g *= (n-1) * max(1,n-3)
    if n%3==0:
        g*=max(1,n-2)
    else:
        g*=n
print(g)
