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())
import math
if n==1:
    print(1)
elif n==2:
    print(2)
elif n==3:
    print(6)
else:
    h=0
    for i in range(max(3,n-100),n+1):
        x=(n*(n-1))//math.gcd(n,n-1)
        x=(x*(n-2))//math.gcd(x,n-2)
        h=max(x,h)
    print(h)
