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())
if n==1 or n==2:
    print(n)
elif n==3:
    print(6)
elif n%2==1:
    print(math.lcm(n,(n-1),(n-2)))
else:
    imp=1
    for i in range(n-1,0,-1):
        if math.gcd(n,i)==1:
            imp = i
            break
    print(n,(n-1),imp)