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A prefiltered cuckoo search algorithm with geometric operators for solving Sudoku problems.

Ricardo Soto1, Broderick Crawford2, Cristian Galleguillos3

  • 1Pontificia Universidad Católica de Valparaíso, 2362807 Valparaíso, Chile ; Universidad Autónoma de Chile, 7500138 Santiago, Chile.

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This summary is machine-generated.

This study introduces a novel cuckoo search algorithm for solving Sudoku puzzles. By integrating prefiltering and geometric operations, this approach enhances efficiency and speeds up the solving process for this NP-complete logic game.

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Area of Science:

  • Artificial Intelligence
  • Computational Complexity
  • Game Theory

Background:

  • Sudoku is a popular 9x9 logic-placement puzzle requiring unique digits 1-9 in each row, column, and 3x3 region.
  • The Sudoku puzzle is known to be NP-complete, necessitating efficient algorithms for solving.
  • Existing search algorithms for Sudoku vary in completeness and efficiency.

Purpose of the Study:

  • To present a novel cuckoo search algorithm for solving Sudoku puzzles.
  • To improve the efficiency of Sudoku solving through enhanced domain filtering.
  • To explore the effectiveness of geometric operations and prefiltering phases in combinatorial search.

Main Methods:

  • Development of a new cuckoo search algorithm tailored for Sudoku.
  • Integration of prefiltering phases to eliminate infeasible domain values.
  • Utilization of geometric operators to navigate the combinatorial search space.

Main Results:

  • The proposed algorithm demonstrates efficient domain filtering.
  • The integration of methods leads to a faster Sudoku solving process.
  • Experimental results show competitive performance against state-of-the-art approximate methods.

Conclusions:

  • The novel cuckoo search algorithm offers an efficient approach to solving Sudoku puzzles.
  • The combination of prefiltering and geometric operations significantly enhances solving speed.
  • This method presents a promising advancement in algorithmic approaches to logic puzzles.