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Fixed titles, math rendering, and links on some pages
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# Backtracking
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title: Backtracking
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showthedate: false
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This algorithm tries to construct a solution to a problem one piece at a time. Whenever the algorithm needs to decide between multiple alternatives to the part of the solution it *recursively* evaluates every option and chooses the best one.
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Backtracking algorithms are used to make a *sequence of decisions*.
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When we design a new recursive backtracking algorithm, we must figure out in advance what information we will need about past decisions in the middle of the algorithm.
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When we design a new recursive backtracking algorithm, we must figure out in advance what information we will need about past decisions in the middle of the algorithm.
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