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>2):
    if(t&1):
        temp1=t*(t-1)*(t-2)
        print(temp1)
    else:
       temp1=(t-1)*(t-3)//hcfnaive((t-1),(t-3))
       temp2=(temp1*(t-2))//hcfnaive(temp1,t-2)
       temp3=temp1*t//hcfnaive(temp1,t)
       print(max(temp3,temp2))
           
else:
    print(t)
