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
n=int(input());
a=[];
for i in range(max(n-50,1),n+1):
    a.append(i);
ans=0;
ma=0;
for x in a:
    for y in a:
        for z in a:
            if math.lcm(x,y,z)>ma:
                ma=math.lcm(x,y,z);
                ans=x*y*z;
print(ma);