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

else:
    if (n % 3 == 0):
        #30
        #29 * 28 * 27

        #90
        #89 * 88 * 87
        print((n - 1)*(n - 2)*(n - 3))

    else:
        #62
        #62 * 61 * 59
        print(n*(n - 1)*(n - 3))