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.
a=int(input())
if a<3:
    print(a)
else:
    if a%2:
        print(a*(a-1)*(a-2))
    else:
        if a%3:
            print(max(n*(n-1)*(n-2)//2,n*(n-1)*(n-3)))
        else:
            print(max(n*(n-1)*(n-2)//2,max((n-1)*(n-2)*(n-3),n*(n-2)*(n-3)//3)))
