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 itertools import combinations
from math import lcm
n = int(input())
if n<=3:
    print([1,2,6][n-1])
elif n%2:
    print(n*(n-1)*(n-2))
else:
    ans = (n-1)*(n-2)*(n-3)
    for a in combinations(range(max(1,n-50),n+1),3):
        ans = max(ans, lcm(a[0],a[1],a[2]))
    print(ans)
