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())
if n==1:
    print(1)
elif n==2:
    print(2)    
else:
    n2=n-1
    n3=n2-1
    p=n2*n3
    if(n>p):
        min1=n
    else:
        min1=p
        while(1):
            if(min1%n==0 and min1%p==0):
                print(min1)
                break
            min1=min1+1
