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())
k = n - 1
q = n - 2
x = n
r = n*(n-1)
k = 0
e = 0
for i in range(1, int((r * q) / 2) + 1):
    if r % i == 0 and q % i == 0:
        k = i
    else:
        continue
    if k > e:
        e = k
if n < 3:
    print(x)
else:
    if e == 1 and n !=1:
        print(r*q)
    else: