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.
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
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Question
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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F16deb70d-f26f-4b32-843d-1cbc3b080382%2F04c9fcf3-d886-4693-81d1-b67134268365%2F41i9fl_processed.png&w=3840&q=75)
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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