Sudoku solver comparison
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Sudoku Solver Comparison. A comparative analysis of algorithms for solving Sudoku. What is a Sudoku Puzzle?. A pencil-and-paper puzzle, much like a numeric crossword puzzle A special type of latin square Seen in many newspapers, including our own K-State Collegian A highly-connected CSP

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Sudoku Solver Comparison

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Sudoku solver comparison

Sudoku Solver Comparison

A comparative analysis of algorithms for solving Sudoku


What is a sudoku puzzle

What is a Sudoku Puzzle?

  • A pencil-and-paper puzzle, much like a numeric crossword puzzle

    • A special type of latin square

    • Seen in many newspapers, including our own K-State Collegian

  • A highly-connected CSP

    • Typical 9 x 9 configuration

      • 81 variables, each constrained by 24 other variables

      • Total of 972 constraints

      • A valid solution is a 9-coloring of the constraint graph


Sudoku rules

Sudoku Rules

  • Common Sudoku puzzles are a 9 x 9 grid of 81 cells

    • There are 9 rows and 9 columns

    • Also divided into 9 3 x3 boxes

    • Each cell can hold one number, an integer between 1 and 9, inclusive

    • Some subset of the cells are given

    • Each number can only appear once in each row, column, and box

    • Valid Sudoku have enough cells given that there is a unique solution


Sudoku images

Sudoku images

Solved

Given


Algorithms

Algorithms

  • General constraint satisfaction algorithms

    • Backtracking search

      • A “brute force” approach

      • Serves as the baseline

    • Backtracking with MRV

      • Look for values that are the “most constrained” in the current state

  • Sudoku specific algorithms

    • Human-like approach

      • Avoid guessing (and backtracking!)

    • Some additional constraints can be deduced from values of non-adjacent cells


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