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Depending on the dimensions of the cuboid, and on the initial positions of the spider and fly, one or another of these paths, or of four other paths, may be the optimal solution. [4] However, there is no rectangular cuboid, and two points on the cuboid, for which the shortest path passes through all six faces of the cuboid. [5]
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.
Part of the puzzle involves reaching the center of the house, Room #45 (page 45 in the book), and back to Room #1 in only sixteen steps. Some rooms lead to circuitous loops; others lead nowhere. This gives the puzzle the feel of a maze or labyrinth. The book was adapted as the computer game Riddle of the Maze in 1994 by Interplay. This version ...
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existence of Eulerian paths in a succinct graph; Bounded two-player Constraint Logic [11] Canadian traveller problem. [45] Determining whether routes selected by the Border Gateway Protocol will eventually converge to a stable state for a given set of path preferences [46] Deterministic constraint logic (unbounded) [47] Dynamic graph ...
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A puzzle with only one solution cannot have a 2 in a corner with two non-diagonally adjacent, unconstrained squares, and a diagonally adjacent 0 or 1.) If there are two paths between two points, such that a solution containing one must also work with the other, then both paths can be ruled out.