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.
n = int(input())

One=(n-1)
Two=(n-2)
Three=(n-3)

count = 1

if n == 1:
    count = 1
    
elif n == 2:
    count = 2
    
elif n == 3:
    count = 6
    
elif n%2 == 0:
    if n%3 != 0:
        count = n*One*Three
    else:
        count = One*Two*Three

else:
    count = n*One*Two
 
print(count)

						 			   			    	   	 		