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(6)
else:
    if(n%2==1):
            ans=n*(n-1)*(n-2)
        
    else:
            if(n%3==0):
                ans=(n-1)*(n-2)*(n-3)
            
            else:
                ans=n*(n-1)*(n-3)
    print(ans)
