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 sys
n=int(input())
if n<=2: 
    print(n)
    sys.exit()
if n%2==1:
    print(n*(n-1)*(n-2))
    sys.exit()
if n%3>0:
    if n*(n-1)*(n-2)/2>n*(n-1)*(n-3):
        print(n*(n-1)*(n-2)/2)
    else:
        print(n*(n-1)*(n-3))
    sys.exit()
a=n*(n-1)*(n-2)/2
b=(n-1)*(n-2)*(n-3)
c=n*(n-2)*(n-3)/3
if a>=b and a>=c:
    print(a)
elif (b>=c):
    print(b)
else:
    print(c)