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  2. Divide-and-conquer algorithm - Wikipedia

    en.wikipedia.org/wiki/Divide-and-conquer_algorithm

    In computer science, divide and conquer is an algorithm design paradigm. A divide-and-conquer algorithm recursively breaks down a problem into two or more sub-problems of the same or related type, until these become simple enough to be solved directly. The solutions to the sub-problems are then combined to give a solution to the original problem.

  3. Treap - Wikipedia

    en.wikipedia.org/wiki/Treap

    To search for a given key value, apply a standard binary search algorithm in a binary search tree, ignoring the priorities. To insert a new key x into the treap, generate a random priority y for x. Binary search for x in the tree, and create a new node at the leaf position where the binary search determines a node for x should exist.

  4. Master theorem (analysis of algorithms) - Wikipedia

    en.wikipedia.org/wiki/Master_theorem_(analysis...

    In the analysis of algorithms, the master theorem for divide-and-conquer recurrences provides an asymptotic analysis for many recurrence relations that occur in the analysis of divide-and-conquer algorithms. The approach was first presented by Jon Bentley, Dorothea Blostein (née Haken), and James B. Saxe in 1980, where it was described as a ...

  5. B-tree - Wikipedia

    en.wikipedia.org/wiki/B-tree

    For this purpose, m - 1 keys from the current node, the new key inserted, one key from the parent node and j keys from the sibling node are seen as an ordered array of m + j + 1 keys. The array becomes split by half, so that ⌊ (m + j + 1)/2 ⌋ lowest keys stay in the current node, the next (middle) key is inserted in the parent and the rest ...

  6. Merge sort - Wikipedia

    en.wikipedia.org/wiki/Merge_sort

    From Wikipedia, the free encyclopedia. Divide and conquer sorting algorithm. Merge sort. An example of merge sort. First, divide the list into the smallest unit (1 element), then compare each element with the adjacent list to sort and merge the two adjacent lists. Finally, all the elements are sorted and merged. Class.

  7. 2–3–4 tree - Wikipedia

    en.wikipedia.org/wiki/2–3–4_tree

    Space. O (n) O (n) In computer science, a 2–3–4 tree (also called a 2–4 tree) is a self-balancing data structure that can be used to implement dictionaries. The numbers mean a tree where every node with children (internal node) has either two, three, or four child nodes: a 2-node has one data element, and if internal has two child nodes;

  8. Counting sort - Wikipedia

    en.wikipedia.org/wiki/Counting_sort

    O ( n + k ) {\displaystyle O (n+k)} In computer science, counting sort is an algorithm for sorting a collection of objects according to keys that are small positive integers; that is, it is an integer sorting algorithm. It operates by counting the number of objects that possess distinct key values, and applying prefix sum on those counts to ...

  9. Zen of Python - Wikipedia

    en.wikipedia.org/wiki/Zen_of_Python

    The Zen of Python is a collection of 19 "guiding principles" for writing computer programs that influence the design of the Python programming language. [1] Python code that aligns with these principles is often referred to as "Pythonic". [2] Software engineer Tim Peters wrote this set of principles and posted it on the Python mailing list in ...