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Generalized Basque chess[Subject Thread] [Add Response]
Aurelian Florea wrote on Mon, May 14, 2018 04:14 AM UTC:

It will still require the number of participants to be non-prime :)!

You probably could make the pairing work and allow players who have played before to play with reverse colors. It probably can be done but it requires some combinatorics, I have not done the work :)!