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 sys

def run_case():
    n=int(input())
    print((n - 2 * (n % 6 < 1)) * (n - 1) * (n - 3 + n % 2) if n>2 else n)

if __name__ == '__main__':
    t = int(input())
    for _ in range(t):
        run_case()
