Well, there is always the hard way and the easy way out of everything... I must confess that even though I finally managed to crack the problem and got the right answer every time (after an frustrating hour of trials and errors, of course) I never understood why the game had such a name. Instead, I figured out a simple mathematical formula, which actually works, but is not half as elegant a way to solve the problem as the "correct" one. - Hmm, I guess I am just a very, very dull person with no imagination at all...
