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()

pr = n*(n-1)
ans = (pr*(n-2))//math.gcd(pr,n-2)
n = n-3
while(n > 0):
    m = (pr*n)//math.gcd(pr,n)
    if m > ans:
        ans = m

    n = n-1

print(ans)