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())
arr = [1,2,6,12,60,60,210]
if n <= 8:
    print(arr[n-1])
    exit(0)
if n % 2:
    print(n*(n-1)*(n-2))
else:
    result = n*(n-1)*(n-3)
    if sum(list(map(int,list(str(n))))) % 3 == 0 and sum(list(map(int,list(str(n-3))))) % 3 == 0:
        result1 = n * (n-1) * (n-5)
        result2 = (n-1) * (n-2) * (n-3)
        result = max(result1,result2)
    print(result)