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.
n = int(input())
pn = 0
count = 0
for i in range(n,0,-1):
    count = 0
    for j in range(1,n+1):
        if i%j==0:
            count+=1
    if count==2:
        np = i
        break
if np==n:
    a = n
    b = n-1
    c = n-2
elif np==n-1:
    a = n-1
    b = n
    c = n-2
else:
    a = np
    b = n
    c = n-1

print(a*b*c)