C++ Write one program with a menu allowing a user to select either an Insertion, a Selection, a Merge or a bubble sort to run with each sort using the following data in this order for every sort. (Numbers to sort: 6, 1,13,7,11,9,2,8,15,5,3,4,12,10,14)  Keep count of the total number of movement of data for each sort and at the end of running all of the sorts, print a chart showing the number of moves for each sort.

Language: C++  Write a Program with Comments for your code to improve quick sort. The quick sort algorithm presented in the ClassNotes-Sorting, it selects the first element in the list as the pivot. Revise it by selecting the median among the first, middle, and last elements in the list.Explain your Outputs or Answers for the following: (C)  Give a list of n items (for example, an array of 10 integers) representing the worst-case scenario. (D)  Give a list of n items (for example, an array of 10 integers) representing the best-case scenario. Please compile your answers in a file including all source code with comments, Explain your running Outputs or Answers in (A) ~(D). Quicksort that was mentioned in the ClassNotes: #include <iostream>using namespace std; // Function prototypesvoid quickSort(int list[], int arraySize);void quickSort(int list[], int first, int last);int partition(int list[], int first, int last); void quickSort(int list[], int arraySize){quickSort(list, 0,…

This sorting function and the merge one is very similar can someone help please? its in C++

Using c++ Contact list: Binary Search   A contact list is a place where you can store a specific contact with other associated information such as a phone number, email address, birthday, etc. Write a program that first takes as input an integer N that represents the number of word pairs in the list to follow. Word pairs consist of a name and a phone number (both strings). That list is followed by a name, and your program should output the phone number associated with that name. Define and call the following function. The return value of FindContact is the index of the contact with the provided contact name. If the name is not found, the function should return -1 This function should use binary search. Modify the algorithm to output the count of how many comparisons using == with the contactName were performed during the search, before it returns the index (or -1). int FindContact(ContactInfo contacts[], int size, string contactName) Ex: If the input is: 3 Frank 867-5309 Joe…