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For example, solving Sudoku or the N-Queens problem involves backtracking. In Sudoku, you fill in numbers, and if you docHub a point where the puzzle becomes unsolvable, you backtrack to the last valid move. Backtracking is a powerful technique for systematically solving complex problems by exploring solution spaces.
Backtracking Search refers to a technique used in computer science to solve optimization problems by dividing the constraints into easy and hard groups.
In artificial intelligence (AI), random search is an optimization method used to fine-tune machine learning models by exploring the hyperparameter space. It randomly samples different combinations of hyperparameters and evaluates their performance to find the best configuration.
A backtracking algorithm therefore iteratively chooses a variable and tests each of its possible values; for each value the algorithm is recursively run. Look ahead is used to check the effects of choosing a given variable to evaluate or to decide the order of values to give to it.
Backtracking tree search is a blind search. Forward checking checks constraints between the current variable and all future ones. Arc consistency then checks constraints between all pairs of future (unassigned) variables.
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Backtrackers are sometimes called constructive because they construct solutions from partial consistent assignments of domain values to variables. In contrast, local search algo- rithms are typically non-constructive, searching a space of total but inconsistent assignments.
Forward checking detects the inconsistency earlier than simple backtracking and thus it allows branches of the search tree that will lead to failure to be pruned earlier than with simple backtracking. This reduces the search tree and (hopefully) the overall amount of work done.

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