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())

if(n<3):
    print(n)

elif(n%2==0):

    if(n%3 == 0):

        print((n-1)*(n-2)*(n-3))

    else:

        print(n*(n-1)*(n-3))

else:

    print(n*(n-1)*(n-2))