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  2. Exponential search - Wikipedia

    en.wikipedia.org/wiki/Exponential_search

    If the element at the current index is larger than the search key, the algorithm now knows that the search key, if it is contained in the list at all, is located in the interval formed by the previous search index, 2 j - 1, and the current search index, 2 j. The binary search is then performed with the result of either a failure, if the search ...

  3. General number field sieve - Wikipedia

    en.wikipedia.org/wiki/General_number_field_sieve

    When using such algorithms to factor a large number n, it is necessary to search for smooth numbers (i.e. numbers with small prime factors) of order n 1/2. The size of these values is exponential in the size of n (see below). The general number field sieve, on the other hand, manages to search for smooth numbers that are subexponential in the ...

  4. Module:Exponential search - Wikipedia

    en.wikipedia.org/wiki/Module:Exponential_search

    This Lua module is used on approximately 1,360,000 pages, or roughly 2% of all pages. To avoid major disruption and server load, any changes should be tested in the module's /sandbox or /testcases subpages, or in your own module sandbox.

  5. Boolean satisfiability problem - Wikipedia

    en.wikipedia.org/wiki/Boolean_satisfiability_problem

    While SAT is a decision problem, the search problem of finding a satisfying assignment reduces to SAT. That is, each algorithm which correctly answers whether an instance of SAT is solvable can be used to find a satisfying assignment. First, the question is asked on the given formula Φ.

  6. Subset sum problem - Wikipedia

    en.wikipedia.org/wiki/Subset_sum_problem

    The subset sum problem (SSP) is a decision problem in computer science. In its most general formulation, there is a multiset S {\displaystyle S} of integers and a target-sum T {\displaystyle T} , and the question is to decide whether any subset of the integers sum to precisely T {\displaystyle T} . [ 1 ]

  7. Predecessor problem - Wikipedia

    en.wikipedia.org/wiki/Predecessor_problem

    In the static predecessor problem, the set of elements does not change, but in the dynamic predecessor problem, insertions into and deletions from the set are allowed. [ 1 ] The predecessor problem is a simple case of the nearest neighbor problem, and data structures that solve it have applications in problems like integer sorting .

  8. Grover's algorithm - Wikipedia

    en.wikipedia.org/wiki/Grover's_algorithm

    In quantum computing, Grover's algorithm, also known as the quantum search algorithm, is a quantum algorithm for unstructured search that finds with high probability the unique input to a black box function that produces a particular output value, using just () evaluations of the function, where is the size of the function's domain.

  9. P versus NP problem - Wikipedia

    en.wikipedia.org/wiki/P_versus_NP_problem

    First, it can be false in practice. A theoretical polynomial algorithm may have extremely large constant factors or exponents, rendering it impractical. For example, the problem of deciding whether a graph G contains H as a minor, where H is fixed, can be solved in a running time of O(n 2), [25] where n is the number of vertices in G.