Archive for August 29th, 2007

Brute Forcing best Arrangement for a Skat Tournament

I started this project because I was faced with the following problem:

Let’s say you want to plan a skat tournament with 12 players and you have four tables available. So three players are sitting on every table playing one round against each other. After a round the players are changing their seats so that no player is playing against an opponent he or she already played against.

The question now is: Can I arrange my players in a way so that every player is playing five times and not playing against an other player twice? And if so, how would this arrangment look like?

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