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.
def solve(n):
    if(n==1):
        print("1")
    elif(n==2):
        print("2")
    elif(n==3):
        print("6")
    elif(n&1):
        print(n*(n-1)*(n-2))
    else:
        if(n%3==0):
            print((n-1)*(n-2)*(n-3))
        else:
            print(n*(n-1)*(n-3))
    return

def main():
    n=int(input())
    solve(n)

main()
				 	   			  		   		 		     	