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())
import math
if n==1:
    print(1)
elif n==2:
    print(2)

else:
    ans=n*(n-1)*(n-2)
    gcde=math.gcd(n,n-1)
    lcm=(n*(n-1))//gcde
    gcde=math.gcd(lcm,n-2)
    lcm1=(lcm*(n-2))//gcde
    print(lcm1)

