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Learning
Algorithms
A Programmer’s Guide to Writing Better Code
George T. Heineman
A Programmer’s Guide to Writing Better Code
Learning Algorithms
George T. Heineman
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Learning Algorithms
by George T. Heineman
Copyright © 2021 George T. Heineman. All rights reserved.
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978-1-492-09106-6
[GP]
Table of Contents
Foreword. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . vii
Preface. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ix
1.
Problem Solving. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
What Is an Algorithm?
Finding the Largest Value in an Arbitrary List
Counting Key Operations
Models Can Predict Algorithm Performance
Find Two Largest Values in an Arbitrary List
Tournament Algorithm
Time Complexity and Space Complexity
Summary
Challenge Exercises
1
5
6
7
12
16
23
24
25
30
32
34
36
39
40
41
42
44
46
50
52
iii
2.
Analyzing Algorithms. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29
Using Empirical Models to Predict Performance
Multiplication Can Be Faster
Performance Classes
Asymptotic Analysis
Counting All Operations
Counting All Bytes
When One Door Closes, Another One Opens
Binary Array Search
Almost as Easy as π
Two Birds with One Stone
Pulling It All Together
Curve Fitting Versus Lower and Upper Bounds

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