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 math

n=int(input())
if n==6:
    print(60)
else:
    for i in range(n-2,0,-1):
        if math.gcd(i,n)==1 and math.gcd(i,n-1)==1:
            print(i*n*(n-1))
            break