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COMPUTATIONAL AND ALGORITHMIC THINKING …

DAVID I CLARKCOMPUTATIONAL AND ALGORITHMIC THINKING 2011 2015 BOOK 2 Published byAustralian Mathematics TrustUniversity of Canberra Locked Bag 1 Canberra GPO ACT 2601 AUSTRALIAC opyright 2016 AMT PublishingTelephone: +61 2 6201 Limited ACN 083 950 341 National Library of Australia Card Number and ISSNA ustralian Mathematics Trust Informatics Series ISSN 1838-8086 COMPUTATIONAL and ALGORITHMIC THINKING 2011-2015 Book2 ISBN 978-1-876420-76-5 ContentsIntroductionvComputationalandAlg orithmicThinkingvAlgorithmicThinkingandt heAustralianCurriculumviAcknowledgmentsv iQuestions1 ApplyingRules3 Logic9 Analysis19 Searching19 Sorting19 Patterns21 NumberofRoutes23 HowManyWays?26 AnalysetheProblem31 Algorithms35 Breadth-firstSearch35 ShortestPath48 MaximumFlow51 SinglePassAlgorithms51 DynamicProgramming54 TwoPersonGames57 GreedyAlgorithm62 Lists64 WorkingBackwards66 Chains67 AdHocAlgorithms68iiiSolutions81 ApplyingRules83 Logic87 Analysis93 Searching93 Sorting94 Patterns96 NumberofRoutes98 HowManyWays?

Contents Introduction v Computational and Algorithmic Thinking v Algorithmic Thinking and the Australian Curriculum vi Acknowledgments vi Questions 1

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