Download Data Structures and Algorithm Analysis in C++, 3rd Edition by Dr. Clifford A. Shaffer PDF

By Dr. Clifford A. Shaffer

A entire remedy targeting the construction of efficient facts buildings and algorithms, this text explains how to pick or layout the knowledge structure best suited for particular difficulties. It makes use of C++ because the programming language and is suitable for second-year information constitution classes and machine technology classes in algorithmic research.

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Property (4) tells us that, for variable n and any two integer constants a and b, loga n and logb n differ by the constant factor logb a, regardless of the value of n. Most runtime analyses in this book are of a type that ignores constant factors in costs. Property (4) says that such analyses need not be concerned with the base of the logarithm, because this can change the total cost only by a constant factor. Note that 2log n = n. When discussing logarithms, exponents often lead to confusion. Property (3) tells us that log n2 = 2 log n.

2 discusses tree traversal, which is the process of visiting every node in the tree in a defined order. A simple example for our text composition application might be to count the number of nodes in the tree 14 Chap. 1 Data Structures and Algorithms that represents the page. At another time, we might wish to print a listing of all the nodes for debugging purposes. We could write a separate traversal function for each such activity that we intend to perform on the tree. A better approach would be to write a generic traversal function, and pass in the activity to be performed at each node.

6 Exercises 23 sorted array-based list of n elements can be searched in log n time with a binary search. Unfortunately, inserting a new element requires a lot of time because many elements might be shifted in the array if we want to keep it sorted. How might data be organized to support both insertion and search in log n time? 2 Mathematical Preliminaries This chapter presents mathematical notation, background, and techniques used throughout the book. This material is provided primarily for review and reference.

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