Player rating for tournaments across all installments of Heroes.

Please consider the core idea: the weaker the average player is in a tournament compared to the top players, the fewer chances they have on average, and the more the non-linear rating calculation coefficient pushes them into a corner (the "lowering the bar" effect). Therefore, the tournament rank should be taken into account for balance... We can achieve this by making the coefficient provide more support to weaker players than to stronger ones... we just need to think about it...