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):
    return a // gcd(a, b) * b

n = int(input())

res = 0
for i in range(max(1, n - 10), n + 1):
    for j in range(i, n + 1):
        for k in range(j, n + 1):
            res = max(res, lcm(lcm(i, j), k))

print(res)