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.
def hcfnaive(a,b): 
    if(b==0): 
        return a 
    else: 
        return hcfnaive(b,a%b)
n=int(input())
if n>2:
    if n%2==1:
        print(n*(n-1)*(n-2)//(hcfnaive(n*(n-1),n-2)))
    else:
        print(n*(n-1)*(n-3)//(hcfnaive(n*(n-1),n-2)))
else:
    print(n)