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 lcm(x,y):
	m = x*y
	while y != 0:
		a =  x % y
		x = y
		y = a
	return int(m/x)

n = int(input())

if n == 1:
	print("1")

elif n == 2:
	print("2")

elif n % 2 == 1:
	print(n*(n-1)*(n-2))

else:
	print((n-1)*lcm(n,n-2))

