#### Apr 22, 2021

# Quick Sort

Quick Sort or partition-exchange sort is aptly named because, when properly implemented, it is the fastest known general-purpose in-memory sorting algorithm in the average case. Quick sort is a sorting algorithm developed by Tony Hoare that, on average, makes O(n log n) comparisons to sort n items.

In the worst case, it makes O(n^{2}) comparisons, though this behavior is rare. Quick Sort is often faster in practice than other O(n log n) algorithms. It does not require the extra array. Quick Sort is widely used, and is typically the algorithm implemented in a library sort routine such as the UNIX qsort function.

Quick Sort is a divide and conquer algorithm. Quick Sort first divides a large array into two smaller sub-arrays: the low elements and the high elements. Quick Sort can then recursively sort the sub-arrays.

function quicksort(array)
if length(array) > 1
pivot = select any element of array
left = first index of array
right = last index of array
while left <= right
while array[left] < pivot
left = left + 1
while array[right] > pivot
right = right - 1
if left <= right
swap array[left] with array[right]
left = left + 1
right = right - 1
quicksort(array from first index to right)
quicksort(array from left to last index)
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