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.
a=int(input())
while True:
	if a==1:
		print(1)
		break
	elif a==2:
		print(2)
		break
	elif a==3:
		print(6)
		break
	elif a==4:
		print(12)
		break
	elif a%2!=0:
		print(a*(a-1)*(a-2))
		break
	elif a%3!=0:
		print(a*(a-1)*(a-3))
		break
	else:
		print(a*(a-1)*(a-5))
		break
	a-=1

 		 	 		 		  	    	   		