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())
if n <= 2:
    print(n)
    exit()
if n % 2 == 0:
    if n % 3 == 0:
        t = n*(n-1)*max((n-2)//2, (n-3)//3)
        n -= 1
        s = n*(n-1)*(n-2)
        print(max(t,s))
    else:
        print(n*(n-1)*(n-3))
else:
    print(n*(n-1)*(n-2))
