Player rating for tournaments across all installments of Heroes.

In short, the only task for today is to create a rating scale based on the placement. Moreover, the last places should remain significant, and the first ones shouldn't be "too unattainable"...

Option #1.
Everything is clear here.
Option #2.
Only one comment. With 2 participants, the formula will give both 100 points.
I was going to suggest this option today, but you were a little ahead of me.
Option #3.
A very interesting option. Perhaps the best solution for taking into account the number of participants in the tournament.