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
c,x,s=3,1,1
for i in range(int(input()),1,-1):
    if math.gcd(x,i)==1:
        c-=1
        s*=i
    if c==0:break
    x*=i
print(s*2 if c==1 else s)