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())
m=n*(n-1)
if(n==1):
    print(1)
elif(n==2):
    print(2)
elif(n==6):
    print(60)
elif(n%2==1):
    print(m*(n-2))
else:
    if(n%3!=0):
        print(m*(n-3))
    else:
        print(m*(n-5))
        