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Mazes have fascinated humanity for over 4,000 years, from mythical labyrinths to modern computational puzzles. This paper, titled Mazemaze16 (referencing both the iterative nature of maze design and a 16x16 grid standard for benchmarking), provides an informative overview of maze generation and solving algorithms. It covers historical context, mathematical graph theory foundations, algorithmic families (randomized Kruskal’s, recursive backtracking, Wilson’s algorithm), solving techniques (wall follower, Tremaux’s, dead-end filling), and applications in robotics, psychology, and encryption.
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A rectangular grid maze of size ( R \times C ) has ( R \times C ) nodes (cells) and up to ( 2RC - R - C ) potential edges (walls between adjacent cells). Removing walls to create a spanning tree yields a perfect maze. Mazes have fascinated humanity for over 4,000 years,
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