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.
def process(n):
    options = [n, n*(n-1), n-1]
    if n % 2==1:
        options.append(n*(n-1)*(n-2))
        options.append((n-1)*(n-2)*(n-3)//2)
    else:
        options.append(n*(n-1)*(n-2)//2)
        options.append((n-1)*(n-2)*(n-3))
    options = [x for x in options if x > 0]
    return max(options)
    
n = int(input())
print(process(n))