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Algorithm Research & Explore
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481-485

Sudoku backtracking algorithm with rule-base strategies

Jiang Shunliang
Tang Yiling
Xu Shaoping
Ye Famao
Dept. of Computer Science, Nanchang University, Nanchang 330031, China

Abstract

Sudoku has unique solution, and backtracking can guarantee the correct result. In order to improve the efficiency of backtracking method, this paper solved Sudoku by the most basic rule-base strategies during searching, only two or three correct candidates were needed to solve successfully. When the Sudoku was solved by the basic rule-base strategies, the returning result was one of three cases, i. e. the success, the failure, and the uncertainty. Only when the result was uncertain, the search was continued, as a result, the efficient pruning was achieved. Meanwhile, this paper used a number of bit operations in the algorithm implementation. A large number of 9×9 Sudoku experiments show that the average calculation time is less than 0.15 ms for most Sudoku and 2 ms for those extremely difficult Sudoku. In addition, the average time to solve a 16×16 Sudoku is 224 ms. The 9×9 Sudoku dataset with 17 cues is recommended as a standard test dataset due to its diversity.

Foundation Support

国家自然科学基金资助项目(61662044)

Publish Information

DOI: 10.19734/j.issn.1001-3695.2018.08.0539
Publish at: Application Research of Computers Printed Article, Vol. 37, 2020 No. 2
Section: Algorithm Research & Explore
Pages: 481-485
Serial Number: 1001-3695(2020)02-035-0481-05

Publish History

[2020-02-05] Printed Article

Cite This Article

江顺亮, 唐祎玲, 徐少平, 等. 融合人工求解策略的数独回溯求解法 [J]. 计算机应用研究, 2020, 37 (2): 481-485. (Jiang Shunliang, Tang Yiling, Xu Shaoping, et al. Sudoku backtracking algorithm with rule-base strategies [J]. Application Research of Computers, 2020, 37 (2): 481-485. )

About the Journal

  • Application Research of Computers Monthly Journal
  • Journal ID ISSN 1001-3695
    CN  51-1196/TP

Application Research of Computers, founded in 1984, is an academic journal of computing technology sponsored by Sichuan Institute of Computer Sciences under the Science and Technology Department of Sichuan Province.

Aiming at the urgently needed cutting-edge technology in this discipline, Application Research of Computers reflects the mainstream technology, hot technology and the latest development trend of computer application research at home and abroad in a timely manner. The main contents of the journal include high-level academic papers in this discipline, the latest scientific research results and major application results. The contents of the columns involve new theories of computer discipline, basic computer theory, algorithm theory research, algorithm design and analysis, blockchain technology, system software and software engineering technology, pattern recognition and artificial intelligence, architecture, advanced computing, parallel processing, database technology, computer network and communication technology, information security technology, computer image graphics and its latest hot application technology.

Application Research of Computers has many high-level readers and authors, and its readers are mainly senior and middle-level researchers and engineers engaged in the field of computer science, as well as teachers and students majoring in computer science and related majors in colleges and universities. Over the years, the total citation frequency and Web download rate of Application Research of Computers have been ranked among the top of similar academic journals in this discipline, and the academic papers published are highly popular among the readers for their novelty, academics, foresight, orientation and practicality.


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