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.
from math import gcd
n = int(input())

if n <= 2:
    ans = n
elif n % 2 == 1:
    ans = n * (n - 1) * (n - 2)
elif n % 3 == 0:
    ans = max((n * (n - 1) * (n - 3)) // 6,
              (n - 1) * (n - 2) * (n - 3))
else:
    ans = n*(n-1)*(n-3)

print(ans)

	 	 		  	 					  			    	 	