• The Natural Sudoku Lecture 0

    Hung-ping Tsao
    Lawrence K Wang (see profile)
    Science, Technology, Engineering, Arts and Mathematics (STEAM)
    Mathematics, Sudoku, Science
    Item Type:
    Book chapter
    science, Mathematics Education, Puzzle, block move, rule of unique solution, principle of the least choice, residues
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    (a) Hard sudoku puzzles are usually designed for defying our logical reasonings, so we can counter with the Principle of Least Choice (PLC) by selecting the least likely one when facing the multiple choices of our next move. The harder the puzzle, the more often PLC is recommended to be used; (b) We shall give only three examples. (PLC will be used none in the first and 7 times in the second, which took a Finnish mathematician Arto Inkala three months to design and posted online in 2012. I was the first one to solve it manually in the total of ten hours. I will show you here how it can be solved in twenty minutes by using PLC. The third one has twelve different solutions!); (c) This lecture serves as the preface for promoting the natural Sudoku (Sudoku with 17 givens). Accordingly, I plan to give a series of lectures, each containing two puzzles with illustrative solutions, the second one of which is the demonstration of the first of the 49 practice puzzles with annotated solutions. All natural Sudoku puzzles are downloaded from Gordon Royle list; (d) The minimum of 17 givens is required for a Sudoku puzzle to not having multiple solutions. There are no extra givens that puzzle makers can maneuver to design extremely hard Sudoku. Therefore, we shall not use PLC at all for our insuing lectures; (e) The purpose of my lectures is for you not to waste time in playing Sudoku. In addition to the introduction of efficient methods, we most importantly screen out those puzzles with multiple solutions in the collection of practice sets for you; (f) The lectures are presented in the power point format, convenient for any interested instructors to use.
    Keywords: Sudoku, Puzzle, Row move, Column move, Block move, Box move, Grid move, Terminating move, Rule of unique solution, Candidate, Principle of the Least Choice, Residues, Flipflops chain.
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    Last Updated:
    6 months ago
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