Yes, Quick Sort is an in-place sorting algorithm.
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Yes, bubble sort is a stable sorting algorithm.
Yes, radix sort is an in-place sorting algorithm.
Quick sort is more efficient for large datasets compared to selection sort.
The most efficient sorting algorithm available is the Quick Sort algorithm. It has an average time complexity of O(n log n) and is widely used for its speed and efficiency in sorting large datasets.
The recurrence relation for the quick sort algorithm is T(n) T(k) T(n-k-1) O(n), where k is the position of the pivot element. This relation affects the time complexity of the sorting process because it represents the number of comparisons and swaps needed to sort the elements. The time complexity of quick sort is O(n log n) on average, but can degrade to O(n2) in the worst case scenario.