Readings CIS 121—Data Structures and Algorithms—Spring 2020 Tries and Binary Search Trees—Monday, April 20 / Tuesday, April 21 Solution Set • Lecture Notes Chapter 24: Tries • Lecture Notes Chapter 25: Balanced Binary Search Trees Problems Problem 1 Given a set of N strings, how can we find the longest common prefix between any two […]
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Data Structures and Algorithms Chapter 11 Binary Search Trees • Can be used to implement a sorted map. • Each internal position p in a binary search tree stores (k, v) pair. • Binary search tree is a proper binary tree with the following properties: For each internal position p with entry (k, v) pair,
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Data Structures and Algorithms in JavaTM Sixth Edition Michael T. Goodrich Department of Computer Science University of California, Irvine Roberto Tamassia Department of Computer Science Brown University Michael H. Goldwasser Department of Mathematics and Computer Science Saint Louis University Vice President and Executive Publisher Executive Editor Assistant Marketing Manager Sponsoring Editor Project Editor Associate Production
CSE204: Complexity ofAlgorithms Coursework Assessment 2 Department of Computer Science & Software Engineering Xi’an Jiaotong-Liverpool University Assessment Information Assessment Number 2 Contribution to Overall Mark Submission deadline Assessment Objectives 15% 15 May This assessment aims to test the followings: • Yourfluencyonutilizingabstractdatatypessuchaslists,graphsandtreesinconjunction with classical problems such as search, insertion, removal, and sorting, etc. • Your ability
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CE204-5-SP 2 Candidates must answer ALL questions. Question 1 (a) (i) Prove directly from the definition of big O that 5n2+9n+7 is O(n2). [3%] (ii) State with reasons a big O estimate for the worst-case time complexity of the following [5%] function. int myfunc(int n) { int result = 0; for (int i = 0;
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CE204-5-SP 2 SECTION A Candidates must answer Question 1 in Section A. Question 1 (a) (i) Explain precisely what is meant by the statement “T(n) is O(f(n))” and explain its [5%] relevance when estimating the running times of programs. (ii) Prove directly from the definition of big O that 7n2+11n+5 is O(n2). [3%] (b) Describe
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CE204 Data Structures and Algorithms Part 8 08/03/2020 CE204 Part 8 1 Balancing Binary Search Trees 1 We saw in part 4 that the average times for binary search tree operations are O(log n), but in the worst case the times are O(n). To obtain optimum performance we would like to ensure that binary search
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2 CE204-5-SP SECTION A Candidates must answer Question 1 in Section A. Question 1 (a) (i) Explain precisely what is meant by the statement “T(n) is O(f(n))” and explain its [5%] relevance when estimating the running times of programs. (ii) Prove directly from the definition of big O that 5n3+7n+1 is O(n3). [3%] (b) (i)
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CE204-5-SP 2 SECTION A Candidates must answer Question 1 in Section A. Question 1 (a) (i) Prove directly from the definition of big O that 8n2+5n+2 is O(n2). [3%] (ii) State with reasons a big O estimate for the worst-case time complexity of the following [5%] function. int myfunc(int n) { int result = 0;
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CE204-5-SP 2 Question 1 (a) (i) Explain precisely what is meant by the statement “T(n) is O(f(n))”. [3%] (ii) Prove directly from the definition of big O that 3n2+11n+6 is O(n2). [3%] (b) Describe what is meant by the halting problem and give a brief outline of how it can be [11%] proven that it
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