Suppose we are given an array of numbers A[0], A[2], . . . , A[n - 1]. You may assume that n is a multiple of 6. We wish to find a number x that simultaneously satisfies two properties: First, x should be in the middle two-thirds of the array (in other words, x = A[i] for some n/6 <= i < 5n/6). Second, after sorting the array, x should still be in the middle two-thirds. 2a) Prove that such an x exists. (Hint: how many values are not in the middle two-thirds of the original array? How many are not in the middle two-thirds of the sorted array?) 2b) Describe a linear time algorithm for finding such an x. (Note, if your solution calls one of the algorithms described in the lectures, you should just refer to it by name, e.g. “quicksort”, rather than explaining how it works.)

Q: Consider the following sorting problem: you must reorder the elements of an array of numbers…

A: Note :- You have not mention the language of program ,So i am doing your question in C++ .   //C++…

Q: Write a program that receives a string (char array), its size a number n and create 2D- dynamic…

A: Lets see the solution in the next steps

Q: Output: The inversion count is 5

A: The number of steps it will take to sort an array, or how far away it is from being sorted, is the…

Q: Given an array of integers, return the largest gap between the sorted elements of the array. For…

A: Algorithm -   Create a new class with the name main.  Now create a method with the name largest gap…

Q: Given an array A of positive integers. Your task is to find the leaders in the array. An element of…

A: 1. Start by defining the find_leaders function that takes an array arr as input.2. Get the length of…

Q: Abigail and Benson are playing Rock, Paper, Scissors. Each game is represented by an array of length…

A: def who_wins(game)    # method returns 0 if tie    # negative number if player0 wins    # positive…

Q: You are given the array-like data structure Listy, which does not have a size. method. It does,…

A: Here, binary search should be our initial idea. The issue with binary search is that in order to…

Q: For code.   an array of meeting time intervals consisting of start and end times…

A: Step1: we have create the can_attend_meetting function and takes as arguments intervals  Step2: we…

Q: Enter values for array M: -9 14 1 -5 3 7 Enter values 1 2 for array N : Matrix M x N is : 33 38 -18…

A: The code in C++ along with output and code screenshot is given below

Q: Consider 2 two-dimensional integer arrays, x and y, of the same size (assume 3 by 4). Fill array x…

A: Use a srand() function to create the starting point to generate the random numbers. Take 2 2D…

Q: can you solve this please ?      Given an array of unsorted integers, you are requested to…

A: The solution to all the four parts are given below with explanations

Q: 1. write algorothim pseudocode. analyze the bestcase .k . analyze the worse case of k.

A: Algorithm: Take the input array and k Create a Priority Queue (max heap) by pushing the values of…

Q: ~31. Given the following numbers in array A 18 47 29 30 32 50 40 43 35 24 ... what is the contents…

A: let's   see the correct answer of the question

Q: Given an array containing integers with N elements, and the sum of consecutive elements in the array…

A: Here is the solution which is mentioned below:

Q: Consider the following problem. Input: An array of sizen>3that consists ofanon-empty decreasing…

A: As the programming language is not mentioned here, we are using JAVA here Recursive Algorithm used…

Q: You are given an integer array X[1, . . . , n]. You should move each element of X[1, . . . , n] into…

A: Pseudocode is a computing tool that aids in problem-solving before a programme is written in a…

Q: Given an array of integers arr, sort the array by performing a series of pancake flips.   In one…

A: Algorithm: Initialize an empty list to store the k-values of the pancake flips. For each element…

Q: Problem 3. Given an array A[1: n] of n positive integers (possibly with repetitions), your goal is…

A: Introduction : Here we need to find out whether their consist a subarray in the given array such…

Q: write the code

A: The code for the problem:

Q: You're given an array arr. Apply the following algorithm to it:   find intervals of consecutive…

A: This problem involves applying a specific algorithm to an integer array. The algorithm involves…

Q: Given an array of locations in memory of n dimensions we want to find out what ordering it has in…

A: Start with the input array r and initialize an empty list called order to store the dimensions in…