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())
ans = 0
while():
    if(n==1):
        ans=1
    elif(n==2):
        ans=2
    elif(n==3):
        ans=6
    elif(n%2==0):
        if(n%3==0):
            ans=(n-1)*(n-2)*(n-3)
        else:
            ans=n*(n-1)*(n-3)
    else:
        ans=n*(n-1)*(n-2)
    print(ans)
