Information om | Engelska ordet QUICKSORT

Exempel på hur man kan använda QUICKSORT i en mening

• Most real-world quicksort variants include an implementation of heapsort as a fallback should they detect that quicksort is becoming degenerate.
• It is much less efficient on large lists than more advanced algorithms such as quicksort, heapsort, or merge sort.
• Applications of the harmonic series and its partial sums include Euler's proof that there are infinitely many prime numbers, the analysis of the coupon collector's problem on how many random trials are needed to provide a complete range of responses, the connected components of random graphs, the block-stacking problem on how far over the edge of a table a stack of blocks can be cantilevered, and the average case analysis of the quicksort algorithm.
• More performant algorithms such as quicksort, merge sort, or timsort are used by the sorting libraries built into popular programming languages such as Python and Java.
• 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.
• Previously, sorting was only required to take O(n log n) on average, allowing the use of quicksort, which is fast in practice but has poor worst-case performance, but introsort was introduced to allow both fast average performance and optimal worst-case complexity, and as of C++11, sorting is guaranteed to be at worst linearithmic.
• Hence, if a developer wants to reliably use quicksort on their web page, they must "reinvent the wheel" by reimplementing the algorithm.
• However, instead of recursing into both sides, as in quicksort, quickselect only recurses into one side – the side with the element it is searching for.
• The following binary search tree (BST) corresponds to each execution of quicksort: the initial pivot is the root node; the pivot of the left half is the root of the left subtree, the pivot of the right half is the root of the right subtree, and so on.
• Although it uses asymptotically more space than the O(log n) overhead of quicksort or the O(1) overhead of heapsort, it uses considerably less space than the basic form of mergesort, which uses auxiliary space equal to the space occupied by the list.
• Based on the amortized analysis of splay trees, the worst case running time of splaysort, on an input with n data items, is O(n log n), matching the time bounds for efficient non-adaptive algorithms such as quicksort, heap sort, and merge sort.

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