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())
s=0
for i in range(n,2,-1):
    j=n*(n-1)
    j=(j*(n-2))//math.gcd(j,n-2)
    #print(j)
    s=max(s,j)
print(s)