Chapter 10: Recursion

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Chapter 10: Recursion

Problem Solving and Program Design in C 5th Edition

by Jeri R. Hanly and Elliot B. Koffman

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Figure 10.1 Splitting a Problem into Smaller Problems

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Figure 10.2 Recursive Function multiply

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Figure 10.3 Thought Process of Recursive Algorithm Developer

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Figure 10.4 Recursive Function to Count a Character in a String

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Figure 10.5 Trace of Function multiply

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Figure 10.6 Function reverse_input_words

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Figure 10.7 Trace of reverse_input_words(3) When the Words Entered are "bits" "and" "bytes"

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Figure 10.8 Sequence of Events for Trace of reverse_input_words(3)

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Figure 10.9 Recursive Function multiply with Print Statements to Create Trace and Output from multiply(8, 3)

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Figure 10.9 Recursive Function multiply with Print Statements to Create Trace and Output from multiply(8, 3) (cont’d)

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Figure 10.10 Recursive factorial Function

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Figure 10.11 Trace of fact = factorial(3);

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Figure 10.12 Iterative Function factorial

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Figure 10.13 Recursive Function fibonacci

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Figure 10.14 Program Using Recursive Function gcd

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Figure 10.14 Program Using Recursive Function gcd (cont’d)

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Figure 10.15 Recursive Function to Extract Capital Letters from a String

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Figure 10.16 Trace of Call to Recursive Function find_caps

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Figure 10.17 Sequence of Events for Trace of Call to find_caps from printf Statements

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Figure 10.18 Trace of Selection Sort

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Figure 10.19 Recursive Selection Sort

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Figure 10.19 Recursive Selection Sort (cont’d)

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Figure 10.20 Recursive Set Operations on Sets Represented as Character Strings

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Figure 10.20 Recursive Set Operations on Sets Represented as Character Strings (cont’d)

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Figure 10.20 Recursive Set Operations on Sets Represented as Character Strings (cont’d)

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Figure 10.20 Recursive Set Operations on Sets Represented as Character Strings (cont’d)

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Figure 10.20 Recursive Set Operations on Sets Represented as Character Strings (cont’d)

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Figure 10.20 Recursive Set Operations on Sets Represented as Character Strings (cont’d)

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Figure 10.21 Towers of Hanoi

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Figure 10.22 Towers of Hanoi After Steps 1 and 2

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Figure 10.23 Towers of Hanoi After Steps 1, 2, 3.1, and 3.2

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Figure 10.24 Recursive Function tower

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Figure 10.25 Trace of tower ('A', 'C', 'B', 3);

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Figure 10.26 Output Generated by tower('A', 'C', 'B', 3);

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Figure 10.27 Grid with Three Blobs