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.
import math

def LCM(x, y):
    return x * y // math.gcd(x, y)

n = int(input())
if n <= 2:
    print(n)
    exit()
res = 0
for i in range(n, 1, -1):
    if i % 2 == 0:
        res = max(res, LCM(LCM(i, i-1), i-2-1))
    else:
        res = max(res, LCM(LCM(i, i-1), i-2))
print(res)
