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  2. Binary search - Wikipedia

    en.wikipedia.org/wiki/Binary_search

    Binary search Visualization of the binary search algorithm where 7 is the target value Class Search algorithm Data structure Array Worst-case performance O (log n) Best-case performance O (1) Average performance O (log n) Worst-case space complexity O (1) Optimal Yes In computer science, binary search, also known as half-interval search, logarithmic search, or binary chop, is a search ...

  3. Associative containers (C++) - Wikipedia

    en.wikipedia.org/wiki/Associative_containers_(C++)

    lower_bound: lower_bound: lower_bound: lower_bound: Returns an iterator to the first element with a key not less than the given value. upper_bound: upper_bound: upper_bound: upper_bound: Returns an iterator to the first element with a key greater than a certain value. Observers key_comp: key_comp: key_comp: key_comp: Returns the key comparison ...

  4. Branch and bound - Wikipedia

    en.wikipedia.org/wiki/Branch_and_bound

    The following is the skeleton of a generic branch and bound algorithm for minimizing an arbitrary objective function f. [3] To obtain an actual algorithm from this, one requires a bounding function bound, that computes lower bounds of f on nodes of the search tree, as well as a problem-specific branching rule.

  5. Sorting algorithm - Wikipedia

    en.wikipedia.org/wiki/Sorting_algorithm

    Sorting algorithms are prevalent in introductory computer science classes, where the abundance of algorithms for the problem provides a gentle introduction to a variety of core algorithm concepts, such as big O notation, divide-and-conquer algorithms, data structures such as heaps and binary trees, randomized algorithms, best, worst and average ...

  6. Bounds checking - Wikipedia

    en.wikipedia.org/wiki/Bounds_checking

    In computer programming, bounds checking is any method of detecting whether a variable is within some bounds before it is used. It is usually used to ensure that a number fits into a given type (range checking), or that a variable being used as an array index is within the bounds of the array (index checking).

  7. Christofides algorithm - Wikipedia

    en.wikipedia.org/wiki/Christofides_algorithm

    The cost of the solution produced by the algorithm is within 3/2 of the optimum. To prove this, let C be the optimal traveling salesman tour. Removing an edge from C produces a spanning tree, which must have weight at least that of the minimum spanning tree, implying that w(T) ≤ w(C) - lower bound to the cost of the optimal solution.

  8. Upper and lower bounds - Wikipedia

    en.wikipedia.org/wiki/Upper_and_lower_bounds

    The set S = {42} has 42 as both an upper bound and a lower bound; all other numbers are either an upper bound or a lower bound for that S. Every subset of the natural numbers has a lower bound since the natural numbers have a least element (0 or 1, depending on convention). An infinite subset of the natural numbers cannot be bounded from above.

  9. Closest pair of points problem - Wikipedia

    en.wikipedia.org/wiki/Closest_pair_of_points_problem

    When modified for the algebraic decision tree model, insertions and deletions would require (⁡) expected time. [9] The complexity of the dynamic closest pair algorithm cited above is exponential in the dimension d {\displaystyle d} , and therefore such an algorithm becomes less suitable for high-dimensional problems.