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.
gcd=lambda a,b:gcd(b,a%b)if b else a
lcm=lambda a,b:a*b//gcd(a,b)
lcm3=lambda a,b,c:lcm(lcm(a,b),c)
a=int(input())
if a<=2:print(a)
else:print(max(lcm3(a,a-1,a-2),lcm3(a,a-1,a-3)))
