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())
a=[0,1,2,6,12]
ans=0
k=n-2
while k>0 and ans==0:
    for j in range(2,int(k**0.5 )+ 1):
        if k%j==0:
            break
        elif j==int(k**0.5):
            ans=k
    k-=1
if n<=4:
    print(a[n])
elif n%2==0 and ans>=n//2:
    print(n*(n-1)*ans)
elif n%2==0 and ans<n//2:
    print(n*(n-1)*(n-2)//2)
else:
    print(n*(n-1)*(n-2))
    