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.
from math import gcd

def f(x, y, z):
    c=x*y//gcd(x, y)
    return c*z//gcd(c, z)
    
n=int(input())
if n<=5:
    print([1, 2, 6, 12, 60][n-1])
elif n%2:
    print(n*(n-1)*(n-2))
else:
    print(min(f(n, n-1, n-2), f(n-1, n-2, n-3), f(n, n-2, n-3), f(n, n-1, n-3)))