The k-Quicksort algorithm is based on the following method for pivot selection.It starts by dividing the input array into k subarrays of equal size (except possibly forthe last one) and applies the classical pivot selection method and partition function oneach subarray (pivot is first element). Then the list of k pivots is sorted using Quicksortand the median x of the k pivots is selected to be used as pivot. Then the partitionfunction is applied to place x in its final position as usual. This is repeated (recursively)until the array is sorted.Does k-Quicksort have a better worst-case running time than the classical Quicksortalgorithm?

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Recurrence relation

A recurrence relation or recursive relation is an equation that represents a function in terms of the values of its smaller inputs. Every recurrence relation T(n) is a recursive function of integer n and consists of a base case and a recursive case.