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Shellsort

Wikipedia

Shellsort, also known as Shell sort or Shell's method, is an in-place comparison sort. It can be understood as either a generalization of sorting by exchange or sorting by insertion. The method starts by sorting pairs of elements far apart from each other, then progressively reducing the gap between elements to be compared. By starting with far-apart elements, it can move some out-of-place elements into the position faster than a simple nearest-neighbor exchange. The running time of Shellsort is heavily dependent on the gap sequence it uses. For many practical variants, determining their time complexity remains an open problem. The algorithm was first published by Donald Shell in 1959, and has nothing to do with shells.

Explore deeper

Class Sorting algorithm

Data structure Array

Worst-case performance O(n 2) (worst known worst case gap sequence), O(n log 2n) (best known worst case gap sequence)

Best-case performance O(n log n) (most gap sequences), O(n log 2n) (best known worst-case gap sequence)

Average performance depends on gap sequence

Worst-case space complexity О(n) total, O(1) auxiliary

Instance of item, Q181593, 181593

Instance of item, Q657037, 657037

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