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)
elif n==2:
    print(2)
elif n==3:
    print(6)
elif n%2!=0:
    print(n*(n-1)*(n-2))
else:
    a=n*(n-1)//(math.gcd(n,n-1))
    a=a*(n-3)//math.gcd(a,n-3)
    b=(n-1)*(n-2)//math.gcd(n-1,n-2)
    b=(n-3)*b//math.gcd(b,n-3)
    print(max(a,b))
    