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 LCM(a,b,c):
    d = a*b//math.gcd(a,b)
    return c*d//math.gcd(c,d)

n = int(input())
if(n < 3):
    print(n)
    exit()

res = 0    
for i in range(n,1,-1):
    res = max(res,LCM(i,i-1,i-3))
print(res)