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())
from sys import exit
if n < 3: 
    print(n)
    exit()
if n % 2 != 0: 
    print(n*(n-1)*(n-2))
    exit()
if n % 3 == 0: 
    print((n - 3)* (n - 1) * (n - 2)
    exit()
print(n - 1) * (n) * (n - 3)
