A round-robin tournament is a collection of games in which each team plays each other exactly...

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A round-robin tournament is a collection of games in which each team plays each other exactly once. A schedule can be represented as an array of triplets, where the triplet (d, i, j) means that team i will play teal j on day d. A schedule is reasonable if no team plays more than one game per day, and optimal if it uses the smallest number of days out of all reasonable schedules. (a) Design an optimal schedule for the tournament using divide-and- conquer assuming that n is a power of 2, where n is the number of teams. Provide a brief argument that the algorithm is optimal. (b) Establish the computational complexity of the algorithm. A round-robin tournament is a collection of games in which each team plays each other exactly once. A schedule can be represented as an array of triplets, where the triplet (d, i, j) means that team i will play teal j on day d. A schedule is reasonable if no team plays more than one game per day, and optimal if it uses the smallest number of days out of all reasonable schedules. (a) Design an optimal schedule for the tournament using divide-and- conquer assuming that n is a power of 2, where n is the number of teams. Provide a brief argument that the algorithm is optimal. (b) Establish the computational complexity of the algorithm.

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A To design an optimal schedule for the tournament using divideandconquer follow these steps 1 For t... View the full answer