The Countdown numbers game is notoriously fiendish. That said, with the right computational tricks, it can be solved using only basic coding abilities.

Deciding the winner of a round-robin tournament is no simple task. The most naïve approach can easily be faltered by the existence of $k$-paradoxical tournaments. But what are these tournaments and what do we know about them? There is surprisingly little discussion on the topic and so, in this post, I plan to collate various pieces of knowledge on the subject into one succinct guide.