Algorithms, Free Full-Text

A Sudoku puzzle often has a regular pattern in the arrangement of initial digits and it is typically made solvable with known solving techniques called strategies. In this paper, we consider the problem of generating such Sudoku instances. We introduce a rigorous framework to discuss solvability for Sudoku instances with respect to strategies. This allows us to handle not only known strategies but also general strategies under a few reasonable assumptions. We propose an exact method for determining Sudoku clues for a given set of clue positions that is solvable with a given set of strategies. This is the first exact method except for a trivial brute-force search. Besides the clue generation, we present an application of our method to the problem of determining the minimum number of strategy-solvable Sudoku clues. We conduct experiments to evaluate our method, varying the position and the number of clues at random. Our method terminates within 1 min for many grids. However, as the number of clues gets closer to 20, the running time rapidly increases and exceeds the time limit set to 600 s. We also evaluate our method for several instances with 17 clue positions taken from known minimum Sudokus to see the efficiency for deciding unsolvability.

Algorithms by Jeff Erickson

Algebra Algorithms PSD, 2,000+ High Quality Free PSD Templates for

Algorithms, Free Full-Text

Free Algorithms Book

Top 10 Machine Learning Algorithms for Beginners

Algorithm-mediated social learning in online social networks

SOLUTION: Social media algorithms affect our lives free download

15 Best Data Structures and Algorithms Courses (Free & Paid

Random Structures & Algorithms - Wiley Online Library

Algorithm for optimized mRNA design improves stability and

Deriving objectively-measured sedentary indices from free-living

Premium AI Image Unleashing the Power of Algorithms