This Sudoku solver uses Constraint Propagation using the Arc Consistency Algorithm #3 (AC-3) [1], and then depth-first search (DFS) with Backtracking using the Minimum Remaining Value (MRV) heuristic and Forward Checking (FC).

Dec 16, 2017 · When you “set” a cell, you propagate a new constraint to neighboor cells (ie same row, same column, same block), and so decreasing the choices. Take a look at the board below for a better understanding.

Oct 5, 2009 · Do some constraint propagation before each nondeterministic step. In practice this means that you have some rules which detect forced values and inserts them, and only if this doesn't make progress any more you resort to backtracking search through possible values.

Implement AC-3 and backtracking algorithms to solve Sudoku puzzles. The objective of the game is to fill a 9 x 9 grid with numerical digits so that each column, each row, and each of the 3 x 3 sub-grids (also called boxes) contains one of all the digits 1 through 9.

Sep 24, 2021 · But in solving Sudoku, there are some strategies that we can rely on to more efficiently complete the puzzle. The first one, and required in order to finish this lab, is Peer Elimination Constraint Propagation (rule 1 in the Norvig essay).

Solving Every Sudoku Puzzle. The constraint satisfaction algorithm iterates through each square and checks if a value is assigned via the puzzle (input). It then applies the following constraints to assign valid values and eliminate invalid values from the board: Satisfying all constraints may or may not have solved the Sudoku.

Apr 28, 2024 · I have a strong conviction that there must be an algorithm that is guaranteed to solve a valid puzzle by using the properties of a Sudoku grid without having to resort to backtracking.

Mar 17, 2017 · This algorithm will propagate the constraints and reduce the domain size of the variables by ensuring all possible (future) assignments consistent. As can be seen, very few of the puzzles can be solved by using this algorithm alone, as expected.

We study and compare the effectiveness of several constraint propagation algorithms. We investigate the use of CP techniques to support interaction with the human players to guide and train them in solving Sudoku puzzles.

Jun 20, 2019 · The document compares two algorithms for solving Sudoku puzzles: a genetic algorithm (GA) and a constraint propagation-search algorithm. It tests both algorithms on 30 random Sudoku puzzles.