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I used the following formula for positioning: X(i) = K * X(i-1), where X is the rating, i is the position, and K is the non-linearity coefficient, K = 1 - 3.5/n, where n is the number of participants. I plan to reduce the constant 3.5 for a more gradual change in the parameter.
The formula for the result is: Y = Rb/Rp * 100, where Y is the rating, Rb is the best result, and Rp is the result of the current participant.
Overall rating: P = (X * 3 + Y * 7) / 10