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.
I = lambda: int(input())
IL = lambda: list(map(int, input().split()))

def gcd(x, y):
    if y == 0:
        return x
    return gcd(y, x%y)

n = I()
ans = n*max(1, n-1)
print(ans * max(i for i in range(1, max(n-1, 2), 2) if gcd(ans, i) == 1))