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.
import math
n = int(input())
if n == 1:
    print(1)
    exit()

if n == 2:
    print(2)
    exit()

if n == 3:
    print(6)
    exit()

pr1 = (n*(n-1))//math.gcd(n,n-1)
ans1 = (pr1*(n-2))//math.gcd(pr1,n-2)
pr2 = ((n-1)*(n-2))//math.gcd(n-1,n-2)
ans2 = (pr2*(n-3))//math.gcd(pr2,n-3)
print(max(ans1,ans2))