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.
#code
import math as m

def lcm(a, b):
    return (a*b)//(m.gcd(a, b))

n = int(input())

var = m.gcd(n, n - 1)


if(n == 1):
    print(1)
elif(n == 2):
    print(2)
elif(n == 3):
    print(6)
elif(n == 4):
    print(12)

print(max(lcm(n, lcm(n - 1, n - 2)),lcm(n - 3, lcm(n - 1, n - 2))))