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
t=int(input()))
if t<3:
    print(t)
else:
    if t%2==1:
        ans=(t-1)*t*(t-2)
    elif math.gcd(t,t-3)==1 and math.gcd(t-1,t-3)==1:
        ans=max((t-1)*(t-2)*(t-3),t*(t-1)*(t-3))
    else:
        ans=(t-1)*(t-2)*(t-3)
    print(ans)