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This popular sorting algorithm has an average-case performance of O(n log(n)), which contributes to making it a very fast algorithm in practice. But given a worst-case input, its performance degrades to O(n 2). Also, when implemented with the "shortest first" policy, the worst-case space complexity is instead bounded by O(log(n)).
The worstsort algorithm is based on a bad sorting algorithm, badsort. The badsort algorithm accepts two parameters: L, which is the list to be sorted, and k, which is a recursion depth. At recursion level k = 0, badsort merely uses a common sorting algorithm, such as bubblesort, to sort its inputs and return
sort is a generic function in the C++ Standard Library for doing comparison sorting.The function originated in the Standard Template Library (STL).. The specific sorting algorithm is not mandated by the language standard and may vary across implementations, but the worst-case asymptotic complexity of the function is specified: a call to sort must perform no more than O(N log N) comparisons ...
The worst-case performance of spreadsort is O(n log n) for small data sets, as it uses introsort as a fallback.In the case of distributions where the size of the key in bits k times 2 is roughly the square of the log of the list size n or smaller (2k < (log n) 2), it does better in the worst case, achieving O(n √ k - log n) worst-case time for the originally published version, and O(n·((k/s ...
Introsort or introspective sort is a hybrid sorting algorithm that provides both fast average performance and (asymptotically) optimal worst-case performance. It begins with quicksort, it switches to heapsort when the recursion depth exceeds a level based on (the logarithm of) the number of elements being sorted and it switches to insertion sort when the number of elements is below some threshold.
The earliest description of the bubble sort algorithm was in a 1956 paper by mathematician and actuary Edward Harry Friend, [4] Sorting on electronic computer systems, [5] published in the third issue of the third volume of the Journal of the Association for Computing Machinery (ACM), as a "Sorting exchange algorithm".
Bottom-up heapsort is a variant that reduces the number of comparisons required by a significant factor. While ordinary "top-down" heapsort requires 2n log 2 n + O(n) comparisons worst-case and on average, [10] the bottom-up variant requires n log 2 n + O(1) comparisons on average, [10] and 1.5n log 2 n + O(n) in the worst case. [11]
Among quadratic sorting algorithms (sorting algorithms with a simple average-case of Θ(n 2)), selection sort almost always outperforms bubble sort and gnome sort. Insertion sort is very similar in that after the k th iteration, the first k {\displaystyle k} elements in the array are in sorted order.