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())
m = 0
for i in range(min(100,n)):
	for ii in range(min(100,n)):
		for iii in range(min(100,n)):
			i1 = n-i
			ii1 = n-ii
			iii1 = n-iii
			r1 = (i1*ii1)//math.gcd(i1,ii1)
			r2 = (r1*iii1)//math.gcd(iii1,r1)
			m = max(m,r2)
print(m)