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

n = int(input())
if n == 1:
    print(1)
elif n == 2:
    print(2)
elif n == 3:
    print(6)
else:
    if n % 2 == 1:
        print(n*(n-1)*(n-2))
    else:
        it = max(1, n-25)
        ans = 1
        for i in range(it, n-1):
            a = [i, i+1, i+2]
            lcm = 1
            for i in a:
                lcm = lcm*i//gcd(lcm, i)

            if lcm > ans:
                ans = lcm
        print(ans)
