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 sys
input = lambda: sys.stdin.readline().rstrip()
import math

N = int(input())

if N==2:
    exit(print(2))

ans = 1
a=N;b=N-1
for i in range(N-2,-1,-1):
    if math.gcd(a,i)==1 and math.gcd(b,i)==1:
        ans = a*b*i
        break
        
a=N-1;b=N-2
for i in range(N-3,-1,-1):
    if math.gcd(a,i)==1 and math.gcd(b,i)==1:
        ans = max(ans, a*b*i)
        break
print(ans)

