Quicksort is a popular algorithm to sort items in software, aiming at completion in the smallest number of steps (shortest time) possible.
No, quicksort is not a stable sorting algorithm.
quicksort
The memory complexity of the quicksort algorithm is O(log n) in the best and average cases, and O(n) in the worst case.
The space complexity of the quicksort algorithm is O(log n) in the best and average cases, and O(n) in the worst case.
The time complexity of the quicksort algorithm is O(n log n) in the average case and O(n2) in the worst case.
The worst-case time complexity of quicksort is O(n2), where n is the number of elements in the array being sorted.
The time complexity of quicksort when the first element is chosen as the pivot is O(n2) in the worst-case scenario.
Yes, Quicksort is implemented in place, meaning it sorts the elements within the original array without requiring additional memory for a separate copy of the data.
The Big O notation of Quicksort algorithm is O(n log n) in terms of time complexity.
The time complexity of Quicksort algorithm is O(n log n) in terms of Big O notation.
The recurrence relation for the quicksort 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 quicksort by determining the number of comparisons and swaps needed to sort the elements. The average time complexity of quicksort is O(n log n), but in the worst-case scenario, it can be O(n2) if the pivot selection is not optimal.
Quicksort is faster than other algorithms, though it is a comparison sort, not a stable sort. It uses O(n log n) comparisons to sort n terms. It works well with cache.