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.
'''input
3
'''
from sys import stdin
import math
from collections import defaultdict, deque

# main starts
n = int(stdin.readline().strip())

if n >= 3:
	if n % 2 == 0:
		mx = -float('inf')
		for i in range(n, 2, -1):
			mx = max(mx, i * (i - 1) * (i -2))
		print(mx)
	else:
		print(n * (n - 1) * (n - 2))
elif n == 2:
	print(2)
else:
	print(1)