* matter of sorting; the best attainable rank for player X is obtained if
* X gets max score and all others get min score, the worst attainable rank
* is obtained if X gets min score and all others get max score.
* matter of sorting; the best attainable rank for player X is obtained if
* X gets max score and all others get min score, the worst attainable rank
* is obtained if X gets min score and all others get max score.