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())
from math import gcd
ans = 1
if n==2:
    print (2)
    exit(0)
if n==1:
    print (1)
    exit(0)
for i in range(2,n):
  ans = max(ans,i*(i-1)*(i+1)//gcd(gcd(i*(i+1),i*(i-1)),(i-1)*(i+1)))
print(ans)
