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())
i = 2
k = n
e = 0
if n > 1 :
    while i > 0 :
       i = i - 1
       n = n - 1
       e = k*n
       k = e
    if k % 2 !=0:
        print(k)
    else:
        print(k//2)
else:
    print('1')