• EVOLUTIONARY MATHEMATICS AND SCIENCE FOR SUDOKU10.O (OPTIMAL STRATEGY): BASIC MOVES PLUS PLC AND RCT

    Author(s):
    Hung-ping Tsao
    Editor(s):
    Lawrence K Wang (see profile)
    Date:
    2022
    Group(s):
    Science, Technology, Engineering, Arts and Mathematics (STEAM)
    Subject(s):
    Mathematics, Mathematical sociology
    Item Type:
    Book chapter
    Tag(s):
    Sudoku Solving and Optimization, puzzle, digital social innovation
    Permanent URL:
    http://dx.doi.org/10.17613/w9dr-3h71
    Abstract:
    Tsao, Hung-ping (2022). Evolutionary mathematics and arts Sudoku10.O (Optimal Strategy): Basic Moves Plus PLC And RCT. In: "Evolutionary Progress in Science, Technology, Engineering, Arts, and Mathematics (STEAM)", Wang, Lawrence K. and Tsao, Hung-ping (editors). Volume 4, Number 2, February 2022; 45 pages. Lenox Institute Press, Auburndale, MA, 02466, USA. No. STEAM-VOL4-NUM2-FAB2022; ISBN 978-0- 9890870-3-2. ............ABSTRACT: In SUDOKU9.0, I introduced the Principle of the Least Choice (PLC) to solve hard Sudoku Puzzles and in SUDOKU10.0 I suggested an innovative way of playing Sudoku regardless of easy or hard puzzles. In this chapter, I present an optimal strategy to first use basic moves to fill single candidates and then opt to use PLC in case of double candidacies. Readers can stick to their own habits of playing Sudoku and use my strategy in the due situation. I demonstrate here how to use my strategy to solve five hard Sudoku puzzles posted late summer of 2021 in New York Times. The last puzzle is taken from SIXTY FOUR STEPS SUDOKU INVESTIGATION 2 to extensively demonstrate the way of finding residues of a chain of tendams (RCT). ............KEYWORDS: Sudoku, Puzzle, Row move, Column move, Block move, Box move, Grid move, Terminating move, Law of unique solution, Candidate, Principle of the Least Choice, Residues, Chain of tendams.
    Notes:
    No. STEAM-VOL4-NUM2-FAB2022; Volume 4, Number 2
    Metadata:
    xml
    Published as:
    Book chapter     Show details
    Publisher:
    Lenox Institute Press, Auburndale, MA, 02466, USA.
    Pub. Date:
    February 2022
    Book Title:
    \"Evolutionary Progress in Science, Technology, Engineering, Arts, and Mathematics (STEAM)\"
    Author/Editor:
    Wang, Lawrence K. and Tsao, Hung-ping (editors).
    Chapter:
    2
    Page Range:
    1 - 45
    ISBN:
    978-0-9890870-3-2.
    Status:
    Published
    Last Updated:
    2 years ago
    License:
    All Rights Reserved

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