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<=2:
    print(n)
else :
        
    ans=0
    for el in range(n-2,-1,-1):
        ans=max(el*n*(n-1),ans)
    print(ans)
# p=0
# for i in range(1,n+1):
#     for j in range(i+1,n+1):
#         for k in range(j+1,n+1):
#             p=max(p,i*j*k)
# print(p)