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):
    x = a * b // gcd(a, b)
    return x * c // gcd(x, c)

n = int(input())
if n < 3:
    print(n)
else:
    a = lcm(n,n-1,n-2)
    b = lcm(n-1,n-2,n-3)
    print(max(a, b))