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 == 1):
    print(1)
elif(n== 2):
    print(2)
elif(n== 3):
    print(6)

else:
    if(n%2 == 0 and n%3 ==0):
        print(n*(n-1)*(n-4))
    elif(n%2 == 0):
        print(n*(n-1)*(n-3))
    else:
        print(n*(n-1)*(n-2))
    