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Robot in a wooden maze. A maze-solving algorithm is an automated method for solving a maze.The random mouse, wall follower, Pledge, and Trémaux's algorithms are designed to be used inside the maze by a traveler with no prior knowledge of the maze, whereas the dead-end filling and shortest path algorithms are designed to be used by a person or computer program that can see the whole maze at once.
Because of this, maze generation is often approached as generating a random spanning tree. Loops, which can confound naive maze solvers, may be introduced by adding random edges to the result during the course of the algorithm. The animation shows the maze generation steps for a graph that is not on a rectangular grid.
Ariadne's thread, named for the legend of Ariadne, is solving a problem which has multiple apparent ways to proceed—such as a physical maze, a logic puzzle, or an ethical dilemma—through an exhaustive application of logic to all available routes. It is the particular method used that is able to follow completely through to trace steps or ...
Maze-a-Pix uses a maze in a standard grid. When the single correct route from beginning to end is located, each 'square' of the solution is filled in (alternatively, all non-solution squares are filled in) to create the picture. Tile Paint is another type of picture logic puzzle by Nikoli.
Wall-following, a maze-solving algorithm ("Hand On Wall Rule") Topics referred to by the same term This disambiguation page lists articles associated with the title Wall-following .
A maze is a path or collection of paths, typically from an entrance to a goal. The word is used to refer both to branching tour puzzles through which the solver must find a route, and to simpler non-branching ("unicursal") patterns that lead unambiguously through a convoluted layout to a goal.
Maze: Solve the World's Most Challenging Puzzle (1985, Henry Holt and Company) is a puzzle book written and illustrated by Christopher Manson. The book was originally published as part of a contest to win $10,000. Unlike other puzzle books, each page is involved in solving the book's riddle.
A different approach which also uses backtracking, draws from the fact that in the solution to a standard sudoku the distribution for every individual symbol (value) must be one of only 46656 patterns. In manual sudoku solving this technique is referred to as pattern overlay or using templates and is confined to filling in the last values only.