Backtracking Explained: The Algorithm That Explores and Undoes Wrong Choices

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Backtracking is a structured algorithmic technique used to solve problems where multiple choices must be explored, such as Sudoku, maze solving, and generating permutations. The core idea involves making a choice, exploring it recursively, and undoing it if it proves invalid before trying the next option. This make-explore-undo cycle navigates a decision tree, pruning paths that cannot lead to a valid solution rather than restarting from scratch. A classic example is generating all permutations of an array, where elements are added one at a time and removed upon backtracking. The pattern is widely applicable to constraint satisfaction and combinatorial problems in computer science.

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