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The heapsort algorithm can be divided into two phases: heap construction, and heap extraction. The heap is an implicit data structure which takes no space beyond the array of objects to be sorted; the array is interpreted as a complete binary tree where each array element is a node and each node's parent and child links are defined by simple arithmetic on the array indexes.
In computer science, a heap is a tree-based data structure that satisfies the heap property: In a max heap, for any given node C, if P is the parent node of C, then the key (the value) of P is greater than or equal to the key of C. In a min heap, the key of P is less than or equal to the key of C. [1] The node at the "top" of the heap (with no ...
This operation can be done in () time, using for example merge sort, heap sort, or quick sort algorithms. Line 4: Creates a set S {\displaystyle S} to store the selected activities , and initialises it with the activity A [ 1 ] {\displaystyle A[1]} that has the earliest finish time.
In 1952, he received a B.Sc. in mathematics from King's College, University of London. [9]In England, he worked as a programmer for Elliot Automation, [9] formerly Elliot Brothers (London) Limited, where he invented heapsort and used it to create the event-driven Elliott Simulator Package (ESP) with the help of C. A. R. (Tony) Hoare.
The first version combines the properties of the double-ended queue (deque) and a priority queue and may be described as an ordered deque.. An item may be added to the head of the list if the new item is valued less than or equal to the current head or to the tail of the list if the new item is greater than or equal to the current tail.
In computer science, adaptive heap sort is a comparison-based sorting algorithm of the adaptive sort family. It is a variant of heap sort that performs better when the data contains existing order. Published by Christos Levcopoulos and Ola Petersson in 1992, the algorithm utilizes a new measure of presortedness, Osc, as the number of ...
(Swap with its smaller child in a min-heap and its larger child in a max-heap.) Steps 2 and 3, which restore the heap property by comparing and possibly swapping a node with one of its children, are called the down-heap (also known as bubble-down, percolate-down, sift-down, sink-down, trickle down, heapify-down, cascade-down, fix-down, extract ...
In computer science, smoothsort is a comparison-based sorting algorithm.A variant of heapsort, it was invented and published by Edsger Dijkstra in 1981. [1] Like heapsort, smoothsort is an in-place algorithm with an upper bound of O(n log n) operations (see big O notation), [2] but it is not a stable sort.