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.
# DO NOT EDIT THIS
import sys
input = sys.stdin.readline
import math

n = int(input())

if n <= 2:
    print(n)
else:
    k = n * (n - 1)
    print(math.lcm(k, n - 2))





