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)
if n==2: print(2)
if n==3: print(6)
if n==4: print(12)
if n==5: print(60)
if n==6: print(60)
if n>6:
    p=0
    for i in range (2,n+1):
        if n%i!=0:
            p=i
            break
    print(n*(n-1)*(n-p))