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
g = [0]*(n+5)
if n==1:
    print (1)
    exit(0)
a = list(range(1,n+1))
#print(a)
for i in range(1,n):
  g[i] = gcd(a[i],a[i-1])
#print (g)
ans = [0]*(n+2)
for i in range(1,n-1):
  ans[i] = a[i]*a[i-1]*a[i+1]//(gcd(g[i],g[i-1]))
print(max(ans))
