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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.
Logic mazes, sometimes called mazes with rules or multi-state mazes, are logic puzzles with all the aspects of a tour puzzle that fall outside of the scope of a typical maze. These mazes have special rules, sometimes including multiple states of the maze or navigator. A ruleset can be basic (such as "you cannot make left turns") or complex.
Maze generation animation using Wilson's algorithm (gray represents an ongoing random walk). Once built the maze is solved using depth first search. All the above algorithms have biases of various sorts: depth-first search is biased toward long corridors, while Kruskal's/Prim's algorithms are biased toward many short dead ends.
[1] [2] In this maze, the player acts as Theseus, the king of Athens who is attempting to escape the Labyrinth. The main difference between this and the standard type of labyrinth, beyond the fact that it is set on a grid , is the fact that the maze is not empty, but also contains a Minotaur who hunts the player down, taking two steps for every ...
The nearest neighbour algorithm was one of the first algorithms used to solve the travelling salesman problem approximately. In that problem, the salesman starts at a random city and repeatedly visits the nearest city until all have been visited.
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.
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