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
def solve(a):
  lcm=a[0]
  for i in range(1,len(a)):
    lcm=lcm*a[i]//math.gcd(lcm,a[i])
  return lcm

n=int(input())
if n==1:
    print(1)
elif n==2:
    print(2)
elif n==3:
    print(6)
else:
    m=float("-inf")
    d=max(1,n-100)
    for i in range(d,n+1):
        for j in range(d,n+1):
            for k in range(d,n+1):
                a=[i,j,k]
                m=max(m,solve(a))
    print(m)