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

a=int(input())
if a==1 or a==2:
  print(a)
  exit()

if a%2==1:
  ans=(a-1)*(a-2)*(a)
  print(ans)
else:
  if a%2==0 and a%3==0:
    ans=(a-1)*(a-2)*(a-3)
    print(ans)
    # print()
  else:
    first=(a-1)*(a-2)*(a-3)
    second=(a)*(a-1)*(a-3)
    print(max(first,second))