There is an upcoming football tournament, and the n participating teams are labelled from 1 to...
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There is an upcoming football tournament, and the n participating teams are labelled from 1 to n. Each pair of teams will play against each other exactly once. Thus, a total of n(n-1) matches will be held, and each team will compete in n - 1 of 2 these matches. There are only two possible outcomes of a match: 1. The match ends in a draw, in which case both teams will get 1 point. 2. One team wins the match, in which case the winning team gets 3 points and the losing team gets 0 points. Design an algorithm which runs in O(n²) time and provides a list of results in all n(n-1) matches which: 2 (a) ensures that all n teams finish with the same points total, and (b) includes the fewest drawn matches among all lists satisfying (a). There is an upcoming football tournament, and the n participating teams are labelled from 1 to n. Each pair of teams will play against each other exactly once. Thus, a total of n(n-1) matches will be held, and each team will compete in n - 1 of 2 these matches. There are only two possible outcomes of a match: 1. The match ends in a draw, in which case both teams will get 1 point. 2. One team wins the match, in which case the winning team gets 3 points and the losing team gets 0 points. Design an algorithm which runs in O(n²) time and provides a list of results in all n(n-1) matches which: 2 (a) ensures that all n teams finish with the same points total, and (b) includes the fewest drawn matches among all lists satisfying (a).
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Related Book For
Smith and Roberson Business Law
ISBN: 978-0538473637
15th Edition
Authors: Richard A. Mann, Barry S. Roberts
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