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.
for u in range(int(input())):
    n = int(input())
    
    if(n == 1):
        print(1)
        
    elif(n == 2):
        print(2)
        
    elif(n == 3):
        print(6)
        
    else:
        if(n%2):
            print(n*(n-1)*(n-2))
            
        else:
            if(n%6):
                print(n*(n-1)*(n-3))
                
            else:
                print(n*(n-1)*(n-5))