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
import sys;sc = sys.stdin.readline;out=sys.stdout.write
def lcm(x, y):
   lcm = (x*y)//math.gcd(x,y)
   return lcm
n=int(sc())
if n==1:out(str(1))
elif n==2:out(str(2))
else:out(str(lcm(lcm(n,n-1),n-2)))