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.
n = int(input())
nums = [n]
n_nums = 1
from math import gcd
for num in range(n - 1, 1, -1):
    add = True
    for a in nums:
        if (gcd(num, a) > 1):
            add = False
            break
    if (add):
        nums.append(num)
        n_nums += 1
    if (n_nums == 3):
        break
print (nums[0] * nums[1] * nums[2])