Counting Sort . Counting sort is an efficient algorithm for sorting an array of elements that each have a nonnegative integer key, for example, an array, sometimes called a list, of positive integers could have keys that are just the value of the integer as the key, or a list of words could have keys assigned to them by some scheme mapping the alphabet to integers (to sort in alphabetical order, for instance). [Best case, worst case and Average case for each]. There are many types of sorting algorithm present with time complexities O(N²), O(N*logN) and even O(N). Worst-case performance: O(n+k), where k is the range of the non-negative key values. Create an array of size K to keep track of how many items appear (3 items with value 0, 4 items with value 1, etc). Counting sort has an auxiliary array arr[] with k elements. Discussed counting sort algorithm with its code. Counting sort is a stable sort, where if two items have the same key, they should have the same relative position in the sorted output as they did in the input. The algorithm of Counting Sort takes an array array_original[] of n number of integer values from the range 1 to k. It doesn’t need any comparison for sorting the values as the elements are in limited quantity. Counting sort assumes that each of the elements is an integer in the range 1 to k, for some integer k.When k = O(n), the Counting-sort runs in O(n) time. Show transcribed image text. The worst case scenario is when the pivot always goes to one of the ends of the array, precise details again depend on the implementation, but sorted or reverse sorted are usually worst cases. Given this count, you can tell the position of an item — all the 1’s must come after the 0’s, of which there are 3. Disadvantage The basic idea of Counting sort is to determine, for each input elements x, the number of elements less than x.This information can be used to place directly into its correct position. Counting Sort is very time efficient and stable algorithm for sorting. Expert Answer 100% (1 rating) See the answer. Expert Answer . Each sorting algorithm can be fastest for certain scenarios. Counting Sort is a linear sorting algorithm with asymptotic complexity O(n+k), which was found by Harold Seward in 1954. Unlike bubble sort and merge sort, counting sort is not a comparison based algorithm. Step by step guide showing how to sort an array using count sort. Worst-case space complexity: O(n+k) Advantage. is a best case scenario for the 'swap pivot into last place' variant, while. [Best Case, Worst Case And Average Case For Each] This problem has been solved! 4 1 3 2 6 5 7 is a best case for 'pivot stays put'. Previous question Next question Get more help from Chegg. 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