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CN-SMO 2004 Problem 7

    A tournament is held among nn teams, following such rules: a) every team plays all others once at home and once away.(i.e. double round-robin schedule) b) each team may participate in several away games in a week(from Sunday to Saturday). c) there is no away game arrangement for a team, if it has a home game in the same week. If the tournament finishes in 4 weeks, determine the maximum value of nn .

    Dataset text AI-MO AoPS. Quoted with source.

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