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 sys
import math
n=int(input())
if(n==1):
	print(1)
	sys.exit(0)
if(n==2):
	print(2)
	sys.exit(0)
if(n==3):
	print(6)
	sys.exit(0)
if(n%2==1):
	print(n*(n-1)*(n-2))
	sys.exit(0)
def lcm(a,b):
	return a*b//math.gcd(a,b)
ans=0
for i in range(max(1,n-50),n+1):
	for j in range(max(1,n-50),n+1):
		for k in range(max(1,n-50),n+1):
			ans=max(ans,lcm(i,lcm(j,k)))
print(ans)
