In a hockey tournament, there is an odd number $n$ of teams. Each team plays exactly one match against each of the other teams. In this tournament, each team receives $2$ points for a win, $1$ point for a draw, and $0$ points for a loss. At the end of the tournament, it was observed that all the points obtained by the $n$ teams were different. For each $n$, determine the maximum possible number of draws that could have occurred in this tournament.