Calculus and Statistics Methods
A backtracking algorithm is a problem-solving technique that incrementally builds candidates for solutions and abandons a candidate as soon as it is determined that it cannot lead to a valid solution. This method is particularly useful for solving combinatorial problems, as it explores all potential options while systematically eliminating those that are not feasible. By employing a depth-first search strategy, it can effectively find solutions to complex problems such as graph coloring and the Hamiltonian path problem.
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