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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.
Typically, readers can sort data in ascending or descending order based on the values in the selected column. The first click on the header cell will sort the column’s data in ascending order, a second click of the same arrow descending order, and a third click will restore the original order of the entire table.
[[Category:Sorting templates]] to the <includeonly> section at the bottom of that page. Otherwise, add <noinclude>[[Category:Sorting templates]]</noinclude> to the end of the template code, making sure it starts on the same line as the code's last character.
For instance, using a binary heap as a priority queue in selection sort leads to the heap sort algorithm, a comparison sorting algorithm that takes O(n log n) time. Instead, using selection sort with a bucket queue gives a form of pigeonhole sort , and using van Emde Boas trees or other integer priority queues leads to other fast integer ...
Here are time complexities [1] of various heap data structures. The abbreviation am. indicates that the given complexity is amortized, otherwise it is a worst-case complexity. For the meaning of "O(f)" and "Θ(f)" see Big O notation. Names of operations assume a min-heap.
Sorting by numerical value, date, etc. See Help:Sortable tables#Numerical sorting problems and meta:Help:Sorting#Sort modes Equal rank If you simply code as the second parameter an indicator that two items are equally ranked, e.g. "4=", the template interpreter will treat this as an additional parameter (i.e. parameter 4, which it will then not ...
Weak heaps may be used to sort an array, in essentially the same way as a conventional heapsort. [3] First, a weak heap is built out of all of the elements of the array, and then the root is repeatedly exchanged with the last element, which is sifted down to its proper place. A weak heap of n elements can be formed in n − 1 merges. It can be ...
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