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Exploring the Eight Queens Problem with Backtracking and Syntax Diagrams

This document explores the Eight Queens problem, demonstrating how to position five queens on a chessboard such that no two queens can attack each other while also ensuring they can threaten all positions in column 6. It illustrates the backtracking process of exploring potential placements in columns 4 and 5. Additionally, it provides traces of syntax evaluations for Java identifiers, including examples and syntax diagrams, enhancing the understanding of recursive programming techniques applied to problem-solving in chess and coding.

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Exploring the Eight Queens Problem with Backtracking and Syntax Diagrams

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  1. Figure 5.1 a) Five queens that cannot attack each other, but that can attack all of column 6; b) backtracking to column 5 to try another square for the queen; c) backtracking to column 4 to try another square for the queen and then considering column 5 again

  2. Figure 5.2 A solution to the Eight Queens problem

  3. Figure 5.3 A syntax diagram for Java identifiers

  4. Figure 5.4a Trace of isId(“A2B”)

  5. Figure 5.4b Trace of isId(“A2B”)

  6. Figure 5.5a Trace of endPre(first, last), where strExp is +/ab-cd

  7. Figure 5.5b Trace of endPre(first, last), where strExp is +/ab-cd

  8. Figure 5.5c Trace of endPre(first, last), where strExp is +/ab-cd

  9. Figure 5.5d Trace of endPre(first, last), where strExp is +/ab-cd

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