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 % 2 == 0:
	n -= 1

if n == 1:
	print(1)
elif n == 2:
	print(2)
elif n == 3:
	print(1*2*3)
elif n % 2:
	print((n-2) * (n-1) * n)
elif n % 3 == 0:
	print(n * (n-1) * (res[n-2]))
else:
	print((n-3) * (n-1) * n)