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(n):
    if n%2==1:
        return n*(n-1)*(n-2)
    else:
        if n<50:
            maxm=1
            for i in range(n):
                for j in range(n):
                    for k in range(n):
                        maxm=max(maxm,math.lcm(i,j,k))
        else:
            maxm=1
            for i in range(n-50,n):
                for j in range(n-50,n):
                     for k in range(n-50,n):
                         maxm=max(maxm,math.lcm(i,j,k))
    return maxm

n=int(input())
print(lcm(n))