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  2. Binary heap - Wikipedia

    en.wikipedia.org/wiki/Binary_heap

    A small complete binary tree stored in an array Comparison between a binary heap and an array implementation. Heaps are commonly implemented with an array. Any binary tree can be stored in an array, but because a binary heap is always a complete binary tree, it can be stored compactly.

  3. Binary tree - Wikipedia

    en.wikipedia.org/wiki/Binary_tree

    [20] [21] A complete binary tree can be efficiently represented using an array. [19] A complete binary tree (that is not full) The infinite complete binary tree is a tree with levels, where for each level d the number of existing nodes at level d is equal to 2 d.

  4. Bitwise trie with bitmap - Wikipedia

    en.wikipedia.org/wiki/Bitwise_trie_with_bitmap

    In this example implementation for a bitwise trie with bitmap, nodes are placed in an array of long (64-bit) integers. A node is identified by the position (index) in that array. The index of the root node marks the root of the trie. Nodes are allocated from unused space in that array, extending the array if necessary.

  5. 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 ...

  6. Heap (data structure) - Wikipedia

    en.wikipedia.org/wiki/Heap_(data_structure)

    A common implementation of a heap is the binary heap, in which the tree is a complete [2] binary tree (see figure). The heap data structure, specifically the binary heap, was introduced by J. W. J. Williams in 1964, as a data structure for the heapsort sorting algorithm. [3]

  7. Fenwick tree - Wikipedia

    en.wikipedia.org/wiki/Fenwick_tree

    A Fenwick tree or binary indexed tree (BIT) is a data structure that stores an array of values and can efficiently compute prefix sums of the values and update the values. It also supports an efficient rank-search operation for finding the longest prefix whose sum is no more than a specified value.

  8. B-heap - Wikipedia

    en.wikipedia.org/wiki/B-heap

    A B-heap is a binary heap implemented to keep subtrees in a single page. This reduces the number of pages accessed by up to a factor of ten for big heaps when using virtual memory, compared with the traditional implementation. [1] The traditional mapping of elements to locations in an array puts almost every level in a different page.

  9. Associative array - Wikipedia

    en.wikipedia.org/wiki/Associative_array

    The most frequently used general-purpose implementation of an associative array is with a hash table: an array combined with a hash function that separates each key into a separate "bucket" of the array. The basic idea behind a hash table is that accessing an element of an array via its index is a simple, constant-time operation.