Team ordering: You have the results of a completed round-robin tournament
in which n teams played each other once. Each game ended either with a
victory for one of the teams or with a tie. Design an algorithm that lists the
teams in a sequence so that every team did not lose the game with the team
listed immediately after it. What is the time efficiency class of your algorithm?
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The following recursive algorithm solves the puzzle. If n = 1, the problem is solved. If n > 1, solve the problem recursively for an arbitrarily chosen group of n − 1 teams. Then scan the obtained list of these n − 1 teams to insert the team not included in the group right before the first team on the list lost to
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