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.
from math import gcd
n=int(input())
if(n<3):
    print(n)
elif(n==4):
    print(12)
else:
    x=n*(n-1)
    ans=x
    for i in range(2,n-1):
        g=gcd(i,x)
        lcm=(x//g)*i
        ans=max(ans,lcm*x)
    print(ans)