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.
x = int(input())
y = x-1
z = y-1
if(x==1):
  print(n)
else:
  greater = x
  while(True):
    
    if((greater % x == 0) and (greater % y == 0)and (greater % z == 0)):
      lcm = greater
      break
    greater += x
  print(lcm)
  