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.
N=int(input())
if N>=3:
	if N%2==1:
		print((N)*(N-1)*(N-2))
	else:
		print(((N)*(N-1)*(N-2))//2)
elif N==2:
	print("2")
else:
	print("1")