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())
a=[0,1,2,6,12]
b=(n-1)*(n-2)*(n-3)
c=(n)*(n-1)*(n-3)
if n%3==0:
    d=c//3
if n<=4:
    print(a[n])
elif n%6==0:
    print(max(b,d))
elif n%2==0:
    print(max(b,c,d))
else:
    print(n*(n-1)*(n-2))
    