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Lecture 15

Lecture 15

Lecture 15. Searching via Traversals Searching a Binary Search Tree (BST) Binary Search on a Sorted Array Data Structure Conversion and Helper Modules. LB. Plan of Attack. Simple searching just involves traversing a data structure until the data element is found.

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Chapter 3 (Part 3): Mathematical Reasoning, Induction & Recursion

Chapter 3 (Part 3): Mathematical Reasoning, Induction & Recursion

Chapter 3 (Part 3): Mathematical Reasoning, Induction & Recursion. Recursive Algorithms (3.5) Program Correctness (3.6). Recursive Algorithm (3.5). Goal: Reduce the solution to a problem with a particular set of input to the solution of the same problem with smaller input values Example:

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Chapter 4 (Part 3): Mathematical Reasoning, Induction & Recursion

Chapter 4 (Part 3): Mathematical Reasoning, Induction & Recursion

Chapter 4 (Part 3): Mathematical Reasoning, Induction & Recursion. Recursive Algorithms (4.4) Program Correctness (4.5). Recursive Algorithm (4.4). Goal: Reduce the solution to a problem with a particular set of input to the solution of the same problem with smaller input values

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Searching

Searching

Searching. Example: Express the linear search algorithm as a recursive procedure. Recursive Algorithms (the linear search algorithm ). ALGORITHM 5 A Recursive Linear Search Algorithm . procedure search ( i,j,x : i,j,x integers, 1 <=i<=n , 1 <=j<=n) if a i = x then location := i

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