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
def lcm(a,b,c):
    ans = a
    ans = (ans*b)//gcd(ans,b)
    ans = (ans*c)//gcd(ans,c)
    return ans
n = int(input())
if n == 1:
    print(1)
elif n == 2:
    print(2*1)
elif n == 3:
    print(3*2*1)
elif n%2:
    print(n*(n-1)*(n-2))
else:
    maxi = -1
    for i in range(n,n-1000,-1):
        maxi = max(maxi,lcm(i,i-1,i-2))
        maxi = max(maxi,lcm(i,i-1,i-3))
    print(maxi)
