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Heapsort
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§ Building a heap). In the second phase, the heap is converted to a sorted array by repeatedly removing the largest element from the heap (the root ofProxmap sort (1,952 words) [view diff] exact match in snippet view article find links to article
ProxmapSort is complete, ProxmapSearch can be used to find keys in the sorted array in O ( 1 ) {\displaystyle O(1)} time if the keys were well distributedSuffix array (3,775 words) [view diff] exact match in snippet view article find links to article
In computer science, a suffix array is a sorted array of all suffixes of a string. It is a data structure used in, among others, full-text indices, data-compressionSkip list (2,423 words) [view diff] exact match in snippet view article find links to article
n {\displaystyle n} elements. Thus it can get the best features of a sorted array (for searching) while maintaining a linked list-like structure that allowsRange reporting (295 words) [view diff] exact match in snippet view article find links to article
intervals, range reporting queries can be handled by storing the data in a sorted array. With this structure, one can use binary search to find the point closestGeneralized suffix array (1,058 words) [view diff] exact match in snippet view article find links to article
S_{k}} of total length n {\displaystyle n} , it is a lexicographically sorted array of all suffixes of each string in S {\displaystyle S} . It is primarilySelection algorithm (5,755 words) [view diff] exact match in snippet view article find links to article
algorithms may be possible; as an extreme case, selection in an already-sorted array takes time O ( 1 ) {\displaystyle O(1)} . An algorithm for the selectionShellsort (3,456 words) [view diff] exact match in snippet view article find links to article
Some of them have decreasing elements that depend on the size of the sorted array (N). Others are increasing infinite sequences, whose elements less thanGraham scan (1,738 words) [view diff] exact match in snippet view article find links to article
point. The algorithm proceeds by considering each of the points in the sorted array in sequence. For each point, it is first determined whether travelingPartial sorting (952 words) [view diff] exact match in snippet view article find links to article
only contain elements that would fall after the k'th place in the final sorted array (starting from the "left" boundary). Thus, if the pivot falls in positionAdjacency list (1,190 words) [view diff] exact match in snippet view article find links to article
the neighbors of this vertex. If the neighbors are represented as a sorted array, binary search may be used instead, taking time proportional to the logarithmLas Vegas algorithm (2,523 words) [view diff] exact match in snippet view article find links to article
to i-1] and A[i+1 to n]. Combine the responses in order to obtain a sorted array.""" A simple example is randomized quicksort, where the pivot is chosenShadow heap (1,415 words) [view diff] exact match in snippet view article find links to article
{\displaystyle |S|>|C|} , then starting from the smallest element in the sorted array, sequentially insert each element of S {\displaystyle S} into C {\displaystyleTime complexity (4,997 words) [view diff] exact match in snippet view article find links to article
important example are operations on data structures, e.g. binary search in a sorted array. Algorithms that search for local structure in the input, for exampleBig O notation (9,101 words) [view diff] exact match in snippet view article find links to article
O ( 1 ) {\displaystyle O(1)} constant Finding the median value for a sorted array of numbers; Calculating ( − 1 ) n {\displaystyle (-1)^{n}} ; Using aBogosort (1,891 words) [view diff] exact match in snippet view article find links to article
print("Unsorted array:", random_array) sorted_arr = bogo_sort(random_array) print("Sorted array:", sorted_arr) This code creates a random array - random_array - inSubstring index (611 words) [view diff] exact match in snippet view article find links to article
constructable by variants of the same algorithms. The suffix array, a sorted array of the starting positions of suffixes of the string, allowing substringBucket sort (2,201 words) [view diff] exact match in snippet view article find links to article
Each "bucket" is then sorted, and the "buckets" are concatenated into a sorted array. Bucket sort can be seen as a generalization of counting sort; in factSmoothsort (2,486 words) [view diff] exact match in snippet view article find links to article
already in its final location and does not need to be moved. Also, a sorted array is already a valid heap, and many sorted intervals are valid heap-orderedMerge algorithm (2,090 words) [view diff] exact match in snippet view article find links to article
merged to produce larger, sorted, partitions, until 1 partition, the sorted array, is left. Merging two sorted lists into one can be done in linear timeExponential search (1,426 words) [view diff] exact match in snippet view article find links to article
given when the above result of the k-nested binary search is used on a sorted array. Using this, the number of comparisons done during a search is log (d)Multiplicative binary search (397 words) [view diff] exact match in snippet view article find links to article
switch statements. Multiplicative binary search operates on a permuted sorted array. Keys are stored in the array in a level-order sequence of the correspondingQuicksort (10,092 words) [view diff] exact match in snippet view article find links to article
Going with a similar logic, when considering the example of an already sorted array [0, 1], the choice of pivot needs to be "floor" to ensure that the pointersRandomized algorithm (4,248 words) [view diff] exact match in snippet view article find links to article
for some well-defined class of degenerate inputs (such as an already sorted array), with the specific class of inputs that generate this behavior definedAll nearest smaller values (1,347 words) [view diff] exact match in snippet view article find links to article
of numbers; the desired output is the same set of numbers in a single sorted array. If one concatenates the two sorted arrays, the first in ascending orderAlgorithmic efficiency (3,335 words) [view diff] exact match in snippet view article find links to article
log n ) {\displaystyle O(\log n)} logarithmic Finding an item in a sorted array with a binary search or a balanced search tree as well as all operationsInterpolation search (1,867 words) [view diff] exact match in snippet view article find links to article
arr[low]) return low; else return initial_low - 1; } /* search "key" in the sorted array arr[low, high), return: the highest index i such that arr[i] <= key HowJohn M. Scholes (3,016 words) [view diff] exact match in snippet view article find links to article
chosen at random. In-order traversal of the results does yield the same sorted array. Q3←{1≥≢⍵:⍵ ⋄ (⊂∇ ⍵⌿⍨0>s)⍪(⊂⍵⌿⍨0=s)⍪⊂∇ ⍵⌿⍨0<s←⍵ ⍺⍺ ⍵⌷⍨?≢⍵} (×-) Q3 xPriority queue (5,009 words) [view diff] exact match in snippet view article find links to article
node list.remove(highest) return highest.element insert elements into a sorted array; extract first element Performance: "insert" performs in O(n) linearMerge sort (6,819 words) [view diff] case mismatch in snippet view article find links to article
Elements * n: Number of Elements * p: Number of Processors * return Sorted Array */ algorithm parallelMultiwayMergesort(d : Array, n : int, p : int) isFunnelsort (1,427 words) [view diff] exact match in snippet view article find links to article
recursively sorted, after which a merging step combines the subarrays into one sorted array. Merging is performed by a device called a k-merger, which is describedBinary logarithm (5,128 words) [view diff] exact match in snippet view article find links to article
Binary search in a sorted array, an algorithm whose time complexity involves binary logarithmsQuotient filter (2,664 words) [view diff] case mismatch in snippet view article find links to article
treated as a single key-value store. One variation of the LSM-Tree is the Sorted Array Merge Tree or SAMT. In this variation, a SAMT's component trees are calledK-way merge algorithm (2,409 words) [view diff] exact match in snippet view article find links to article
merge problem consists of merging k sorted arrays to produce a single sorted array with the same elements. Denote by n the total number of elements. n is3SUM (2,676 words) [view diff] exact match in snippet view article find links to article
end The following example shows this algorithm's execution on a small sorted array. Current values of a are shown in red, values of b and c are shown inBlock sort (4,838 words) [view diff] exact match in snippet view article find links to article
variants: one which finds the first position to insert a value in the sorted array, and one which finds the last position. Linear search: find a particularDirect function (4,013 words) [view diff] exact match in snippet view article find links to article
chosen at random. In-order traversal of the results does yield the same sorted array. Q3←{1≥≢⍵:⍵ ⋄ (⊂∇ ⍵⌿⍨0>s)⍪(⊂⍵⌿⍨0=s)⍪⊂∇ ⍵⌿⍨0<s←⍵ ⍺⍺ ⍵⌷⍨?≢⍵} (×-) Q3 xScale-invariant feature transform (9,260 words) [view diff] exact match in snippet view article find links to article
standard SIFT descriptor, by setting each histogram bin to its rank in a sorted array of bins. The Euclidean distance between SIFT-Rank descriptors is invariant