Re: Math problem
You need to change the format!
What about setting it up like a sports league?
For example, 12 players and 2-player games.
Make 2 divisions of 6 players. Each player plays two matches against their division mates and 1 game against the opposite division. This makes 16 games. The top 2 players from each division play a best-of-3 series to determine a 'pennant' winner, and then the pennant winners from each division play for the grand championship in a best-of-3 series.
The games can be played concurrently:
Day 1 to 75 > 1st games against own division
Day 76 to 150 > games against other division
Day 151-225 > 2nd games against own division
Day 225-? > Playoffs
If this is too long, you can set up this style for any amount of players. You could set up a smaller league that runs faster, say like 8-player leagues. You could even run several small leagues at different intervals, giving opportunities for new players to join etc...
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