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.
mod = 1000000007
n = int(input())
if n%2 == 1 :
    if n==1 :
        print(1)
    else :
        print((n*(n-1)*(n-2))%mod)
else :
    if n > 3 :
        print(((n-1)*(n-2)*(n-3))%mod)
    elif n == 2 :
        print(2)