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I’m definitely not good at all these calculations, but maybe it makes sense to reconsider the game system itself? In some sports, there’s a simple system without any complications. After the draw, a player has two attempts; as long as they don’t lose, they stay in the upper bracket. If they lose, they move to the lower bracket and play against the losers. If they lose twice, they’re eliminated. And that’s it, without any points or Berger systems. The only one from the lower bracket who wins against everyone there gets the right to play in the final for prizes. Or is this system not suitable for computer tournaments?
