here 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) /2 matches will be held, and each team will compete in n − 1 of these matches.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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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) /2 matches will be held, and each team will compete in n − 1 of 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
п(п-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).
Transcribed Image Text: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 п(п-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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