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(1)
if(n==2):
    print(2)
if(n%2!=0):
    print(n*(n-1)*(n-2))
else:
    max=(n-1)*(n-2)*(n-3)
    for i in range(n-49,n-1,2):
        out=(n*(n-1)*i)
    if out>max:
        max=out
    print(max)

