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==4): print(12)
elif(n<=2): print(n)
else:
    if(n%2==0):
        a=n*(n-1)*(n-3)
        if(n%3==0): a=a//3
        b=n*(n-1)*(n-2)
        b=b//2
        print(max(a,b,(n-1)*(n-2)*(n-3)))
    else: print(n*(n-1)*(n-2))