The algorithm SkipListSort is a sorting algorithm that begins by inserting a sequence of keys into a skip list. Once you had done that, what would the remaining steps in the algorithm be?  Give an asymptotic notation that best describes how long it would take to sort n keys this way (i.e., the entire SkipListSort algorithm) and briefly explain (in a sentence or two) why. The algorithm HashSort is a sorting algorithm that begins by inserting a sequence of keys into a hash table. Once you had done that, what would the remaining steps in the algorithm be?  Give an asymptotic notation that best describes how long it would take to sort n keys this way (i.e., the entire HashSort algorithm) and briefly explain (in a sentence or two) why.

PYTHON def _insertionsort(self, order):    # Implements the insertion sort algorithm to sort a list of items in ascending or descending order    n = len(self.items)    for i in range(1, n):        key = self.items[i]        j = i - 1        if order == 'asc':            while j >= 0 and key < self.items[j]:                self.items[j + 1] = self.items[j]                j -= 1            self.items[j + 1] = key        elif order == 'desc':            while j >= 0 and key > self.items[j]:                self.items[j + 1] = self.items[j]                j -= 1            self.items[j + 1] = key  def sort(self, order = 'asc', type = 'insertion'):          if type == 'insertion':            # call the insertions sort method to sort atos array based on the parameter values            #######################################################################

The bubble sort algorithm discussed in class is used to sort the following sequence of integers: 2 16 38 9 4 14 How many passes must the algorithm perform to guarantee the entire sequence is sorted? What is the list obtained after the first pass? What is the list obtained after the third pass? What is the list obtained after the final pass?

A gap sort is a version of the bubble sort method that compares items that are some number i places away, where i is an integer smaller than n, rather than neighbouring elements each time across the list. For example, the first element would be compared to the (i + 1) element, the second element to the (i + 2) element, the nth element to the (n - i) element, and so on. When all of the items that may be compared have been compared, a single iteration is accomplished. On the following iteration, i is reduced by a value bigger than one, and the procedure is repeated until i is less than one. Utilise a gap kind.

Using the Selection and Bubble sort algorithms Write a java method that receives an array of integers and then prints the best sorting algorithm based on the number of swaps. Write a program to test this method. Note: An algorithm is better if it performs less number of swaps.

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Q10. Searching for an element in the sorted list takes ......... time compared to searching for an element in the unsorted list. More O Less O Same O None of them

Quicksort is a powerful divide-and-conquer sorting algorithm that can be described in just four lines ofpseudocode. The key to Quicksort is the PARTITION(A, p, r) procedure, which inputs elementsptorof array A,and chooses the final element x = A[r] as the pivot element. The output is an array where all elementsto the left ofxare less thanx, and all elements to the right of x are greater than x. In this question, we will use the Lomuto Partition Method from class and assume that the pivot isalwaysthe last (right-most) element of the input array. Question: Let A be an array withn= 2k−1 elements, where k is some positive integer. Determine a formula (in terms of n) for the minimum possible number of total comparisons required by Quicksort, as well as a formula for the maximum possible number of total comparisons required by Quicksort. Use your formulas to show that the running time of Quicksort is O(nlogn) in the best case and O(n2) in the worst case.

Evaluations of algorithmsCalculate the algorithmic complexity of binary search in terms of time. Please offer detailed instructions.

Create an algorithm that show how to quickly sort items. By using method PARTITION to divide the list into two sublists and recursively calling procedure QUICK SORT to sort the two sublists, the algorithm uses the Divide and Conquer concept.