Database: video_games
Question: How many publishers have published more than 3 puzzle games?
SQL: SELECT COUNT(T.publisher_name) FROM ( SELECT T3.publisher_name, COUNT(DISTINCT T1.id) FROM game AS T1 INNER JOIN game_publisher AS T2 ON T1.id = T2.game_id INNER JOIN publisher AS T3 ON T2.publisher_id = T3.id INNER JOIN genre AS T4 ON T1.genre_id = T4.id WHERE T4.genre_name = 'Puzzle' GROUP BY T3.publisher_name HAVING COUNT(DISTINCT T1.id) > 3 ) t