mysql - SQL: 最新の最大エントリを取得する

Question

このテーブルから最新の最大スコアを取得する方法を知っている人は誰でも:

----------------------------------------
|id |game_id |level |score |date       |
----------------------------------------
|1  |0       |1     |90    |1391989720 |
|1  |0       |1     |95    |1391989721 |
|1  |0       |1     |95    |1391989722 |
|1  |1       |1     |4     |1391989723 |
|1  |1       |1     |8     |1391989724 |
|1  |1       |2     |6     |1391989725 |
----------------------------------------

これまでのところ、私はこれを持っています：

SELECT progress_max.game_id, 
       progress_max.level, 
       progress_max.date AS max_date,              
       max_score 
FROM 
(
    SELECT game_id, level, MAX(score) AS max_score
    FROM cdu_user_progress 
    WHERE lesson_id = 1 
    GROUP BY game_id, level 
) AS ms 
JOIN cdu_user_progress progress_max ON progress_max.game_id = ms.game_id AND progress_max.level = ms.level AND progress_max.score = ms.max_score 
WHERE progress_max.lesson_id = 1 
GROUP BY game_id, level

しかし、それは最初の最大スコア（日付1391989721）しか得られません...