Player rating for tournaments across all installments of Heroes.

I am posting the calculation of the tournament rating for players who participated in the "Best of the Best" tournament (at the impossible level), based on all the rating calculation ideas that have been agreed upon so far. For those who do not have time to delve into the debate that has unfolded in the current thread, I will briefly outline the main points of the calculation here. The rating consists of two main components: 1. A non-linear rating R1, which depends only on the comparison of the participant's result with the result of the tournament leader. The leader always gets 100 points for the win. R1(n)=S(1)/S(n)*100, where R1(n) is the non-linear rating of the player S(1) is the result of the leader S(n) is the result of the player // Formula for calculating a speed tournament, where the best result is the lowest value. For calculating tournaments based on experience, resources, or troops, the formula will take the form R1(n)=S(n)/S(1)*100 // 2. A linear rating R2, which evenly distributes points among all participants in the tournament, depending on the place they took. The leader receives 100 points, and the player who took last place receives 0 points. R2(n)=100-100/(N-1)*(n-1), where R2(n) is the linear rating of the player N is the number of ranked places (usually coincides with the number of players, but not always) n is the place of the player being considered 3. And finally, the final rating R (oscillator), which is the arithmetic mean of the two parameters mentioned above. R(n)=(R1(n)+R2(n))/2 The essence of this calculation scheme lies in the combination of two independent parameters, reflecting all the main achievements of the players in the tournament, and the player's rating depends not only on his own efforts, but also on how his direct competitors performed in the tournament. The higher the result compared to the leader's result, the higher the first component of the rating will be, and the place the player took does not matter here; that is, only the player's own result is reflected, without taking into account the game of the other participants. Also, the higher the place the player took (regardless of his result), the higher the second component of the rating will be. And here, in addition to the importance of how the player performed, it is very important how all his opponents performed in the tournament. In future calculations of the tournament rating, the player's current rating will also be taken into account in comparison with the average current rating of all players who participated in the tournament. Moreover, the higher the average rating of all players (i.e., the higher the level of the competition), the more significant the player's result in the tournament will be. That is, a boosting coefficient will be introduced, which will be applied to the tournament rating of each participant. This coefficient will have a stronger effect (in relative terms) on a low rating and a lesser effect on a high rating. This is quite logical. This aspect still needs to be refined. *** The rating of the past "Best of the Best" tournament, taking into account all the points mentioned above.