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

def lcm(x,y):
	return x*(y//math.gcd(x,y))
	
n = int(input())
if n < 3: print(n)
elif n == 3: print(6)
else:
	if n % 2 == 1: print(n*(n - 1)*(n - 3))
	else: 
		ans = 0
		for i in range(max(n - 50,1),n - 1):
			for j in range(i + 1,n):
				for k in range(j + 1,n + 1):
					ans = max(ans, lcm(i,lcm(j,k)))
		print(ans)				 