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.
t=int(input())
def hcfnaive(a,b): 
    if(b==0): 
        return a 
    else: 
        return hcfnaive(b,a%b) 
if(t&1):
    temp=(t*(t-1))/hcfnaive(t,t-1)
    temp1=temp*(t-2)/hcfnaive(temp,t-2)
    print(temp1)
else:
    temp=((t-2)*(t-1))/hcfnaive(t-2,t-1)
    temp1=temp*(t-3)/hcfnaive(temp,t-3)
    print(int(temp1))    

