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())
ans = 0
if n ==1 :
    print("1")
elif n==2:
    print("2")
elif n==3:
    print("3")
elif n%2 == 0:
    if n%3 == 0:
        ans = (n-1)*(n-2)*(n-3)
        print(ans)
    else:
        ans = n*(n-1)*(n-3)
        print(ans)
else:
    ans = n*(n-1)*(n-2)
    print(ans)


