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.
from math import gcd
n = int(input())
mx = 1
p1, p2, p3 = 1, 1, 1
for i in range(max(1, n - 20), n + 1):
  for j in range(max(1, n - 20), n + 1):
    for k in range(max(1, n - 20), n + 1):
      cur = i * j // gcd(i, j)
      cur = cur * k // gcd(cur, k)
      if mx < cur:
        mx = cur
        p1, p2, p3 = i, j, k
print(mx)
print(p1, p2, p3)
	 		 	 			   					 	 	  		   		