Otimize a consulta de classificação lenta

SELECT  t.*, cnt
FROM    (
        SELECT  team_id, COUNT(*) AS cnt
        FROM    (
                SELECT  player_id, MAX(id) AS mid
                FROM    player_team
                GROUP BY
                        player_id
                ) q
        JOIN    player_team pt
        ON      pt.id = q.mid
        GROUP BY
                team_id
        ) q2
JOIN    team t
ON      t.id = q2.team_id
ORDER BY
        cnt DESC
LIMIT 50