Let's organize a tournament.

Andrey, your formula has a small flaw – if there are 10 masters and 6 newcomers, then 4 masters will play against each other – which means some will be "lucky" in the early stages of the playoffs, and others won't. There are 2 options here:
1. Generate pairs randomly.
2. Seed based on group results – but then either the "newcomers" will have to compete in the first round against experienced players like Will, Exa, Dima, Adv, Moza, or we keep newcomers and masters in separate brackets and only bring them together closer to the final.

Well, we won't have exactly 10 masters this time, I think, there will be more mid-level players competing against other mid-level players. We should determine the pairs based on the results of the group stage, and those who performed better in the group will be "lucky" in the early stages, which seems fair to me. And the fact that the strongest players will face the weakest of those who made it to the playoffs in the first round, and the mid-level players will face other mid-level players, is also quite fair. This system is practiced in many sports (basketball, hockey, etc.), and in the end, the strongest will still win.