For a levelrank fixing tourney, one implementation would be as follows. Fix a division and let P be the set of players in that division. Let S be the collection of songs such that there does not exist a player in P who has AAA'ed it. For each song s in S, calculate A(s) where A(s) is the average of the ranks on s among the players in P. The round for that division will be the s in S that maximizes A(s).
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