a) Devise a greedy algorithm that determines the fewest

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

ISBN: 9780073383095 37

Solution for problem 59E Chapter 3.1

Discrete Mathematics and Its Applications | 7th Edition

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Problem 59E

a) Devise a greedy algorithm that determines the fewest lecture halls needed to accommodate n talks given the starting and ending time for each talk.

b) Prove that your algorithm is optimal.

Suppose we have s men m1, m2, …, ms and s women w1, w2, …, ws. We wish to match each person with a member of the opposite gender. Furthermore, suppose that each person ranks, in order of preference, with no ties, the people of the opposite gender. We say that a matching of people of opposite genders to form couples is stable if we cannot find a man m and a woman w who are not assigned to each other such that m prefers w over his assigned partner and w prefers m to her assigned partner.

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JOUR 331-01 Lecture Notes Ellen Curtis Spring 2016 Week 1 Writing Assignment #1: Buy magazine and pick an ad – write 500 words about what the ad says about society (Due Tuesday April 5); upload to PolyLearn Advertising Industry Overview  Advertising uses paid media to promote a product or service  Advertising is one marketing tactic of many o There are multiple tactics within advertising  Advertising o Online  Native  Social  Web – banner, display, rich media  Influencer  Search – PPC, SEM  In-game o Offline  Print – Newspaper, Magazines, Flyers, Brochures, Booklets  TV  Out of Home – Bus, Bullboard, Blimp  Radio  Paid Endorsements  Event Sponsorship o Mobile  Banner  Native  Interstitial  Rich Media

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