A Prefiltered Cuckoo Search Algorithm with Geometric Operators for Solving Sudoku Problems

Ricardo Soto, Broderick Crawford, Cristian Galleguillos, Eric Monfroy, Fernando Paredes
2014 The Scientific World Journal  
The Sudoku is a famous logic-placement game, originally popularized in Japan and today widely employed as pastime and as testbed for search algorithms. The classic Sudoku consists in filling a9×9grid, divided into nine3×3regions, so that each column, row, and region contains different digits from 1 to 9. This game is known to be NP-complete, with existing various complete and incomplete search algorithms able to solve different instances of it. In this paper, we present a new cuckoo search
more » ... ithm for solving Sudoku puzzles combining prefiltering phases and geometric operations. The geometric operators allow one to correctly move toward promising regions of the combinatorial space, while the prefiltering phases are able to previously delete from domains the values that do not conduct to any feasible solution. This integration leads to a more efficient domain filtering and as a consequence to a faster solving process. We illustrate encouraging experimental results where our approach noticeably competes with the best approximate methods reported in the literature.
doi:10.1155/2014/465359 pmid:24707205 pmcid:PMC3953653 fatcat:swqgx7vumrfodjez4kto5jqtbi