2- Write step by step the output of the following list by applying the merge sort {6, 1, -3, 5, 10, 0, 20).
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- (a) In what cases should Merge Sort be used? In what cases is it not efficient? Explain.(b) The following is an implementation of merge and mergeSort - Making sure to take note of the added print statement in merge, what would the following call in main print to the screen? int[] a = {4, 3, 2, 1};int[] temp = new int[a.length];mergeSort(a, 0, a.length-1, temp);5(b) Give the two arrays that will be merged by the final step of mergesort on [8, 2, 1, 4, 5, 3, 7, 9].C# The following code is for the Divide portion of the MergeSort algorithm. There is one mistake in the code. State where the error is, why it is a mistake and how to fix it.
- 1. Explain why the modified bubble sort still exhibits O(n2) behavior on the average. Explain why insertion sort works well on partially sorted lists. 2. Write the use case for returning a book to the library, as discussed in this section. 3. Explain the difference between aggregation and composition; use an example.Which one of the below uses divide and conquer approach? * a) Insertion sort b) Merge sort c) Shell sort d) Heap sortStarter Code: def find_zero(L): pass def bubble(L, left, right): pass def selection(L, left, right): pass def insertion(L, left, right): pass def sort_halfsorted(L, sort): '''Efficiently sorts a list comprising a series of negative items, a single 0, and a series of positive items Input ----- * L:list a half sorted list, e.g. [-2, -1, -3, 0, 4, 3, 7, 9, 14] <---neg---> <----pos-----> * sort: func(L:list, left:int, right:int) a function that sorts the sublist L[left:right] in-place note that we use python convention here: L[left:right] includes left but not right Output ------ * None this algorithm sorts `L` in-place, so it does not need a return statement Examples -------- >>> L = [-1, -2, -3, 0, 3, 2, 1] >>> sort_halfsorted(L, bubble) >>> print(L) [-3, -2, -1, 0, 1, 2, 3] ''' idx_zero = find_zero(L) # find the 0 index sort(L, 0, idx_zero) # sort left half sort(L, idx_zero+1, len(L)) # sort right half
- JAVA Help: Mergesort Implement a natural merge sort for linked lists. (This is the method of choice for sorting linked lists because it uses no extra space and is guaranteed to be linearithmic.) During each iteration, natural merge sort works by scanning the list from the left to right identifying naturally sorted sub-lists and merging the sub-lists, and continue scanning further identifying and merging the sub-lists until the end of the list. Repeats the process until the entire list is sorted. Example: Unsorted list M -> E -> R -> G -> E -> S -> O -> R -> T -> E -> X -> A -> M -> P -> L -> E After first iteration: E - > M -> R -> E -> G -> S -> E -> O -> R -> T -> X -> A -> L -> M -> P -> E After second iteration: E -> E -> G -> M -> R -> S -> A -> E -> L -> M -> 0 -> P -> R -> T -> X -> E After third iteration: A -> E -> E -> E -> G…discrete mathematics (a) Apply the bubble sort to the following list and write the modified list in every cycle [6, 12, 8, 11, 15, 14, 17, 2, 18, 7] (you may stop after it is fully sorted). (b) Merge the following two sets and write the merging list in every iteration [3, 5, 6, 8, 10, 11, 15] and [4, 7, 9, 13, 17]Given pointers to the head nodes of linked lists that merge together at some point, find the node where the two lists merge. The merge point is where both lists point to the same node, i.e. they reference the same memory location. It is guaranteed that the two head nodes will be different, and neither will be NULL. If the lists share a common node, return that node's value. Note: After the merge point, both lists will share the same node pointers. Example In the diagram below, the two lists converge at Node x: [List #1] a--->b--->c \ x--->y--->z--->NULL / [List #2] p--->q Function Description Complete the findMergeNode function in the editor below. findMergeNode has the following parameters: SinglyLinkedListNode pointer head1: a reference to the head of the first list SinglyLinkedListNode pointer head2: a reference to the head of the second list Returns int: the value of the node where the lists merge Input Format Do not read any input from…
- Create a data type that allows you to insert, delete the maximum, and delete the minimum (all in logarithmic time), as well as find the maximum and find the minimum (both in constant time). Tip: Use two heaps.If our primary concern is space efficiency, which of the following cleanup algorithms should we avoid? a: shuffle-left b: copy-over c: converging-pointersthe list has the following items 17 9 11 30 8 20 35 7 5 45 3 28 Apply the quick sort on the above list by using the pivot is always the left item and find the following The list after a first partition call
