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())
from math import *
if n==3:
    print(6)
elif n==2:
    print(2)
elif n==1:
    print(1)
else:
    if n%2:
        print(n*(n-1)*(n-2))
    else:
        n-=1
        res = n*(n-1)*(n-2)
        for i in range(n-2,1,-2):
            if gcd(n+1,i)==1:
                res = max(res,(n+1)*n*i)
                break
        print(res)
                