We apply the binary search on a 17-element ordered array. Assume that a given key appears in the array, and it is between the 5th element and the 13th element (inclusive). How many comparisons do we need for the average-case efficiency?

Q: Define the interpolation search. How the interpolation search works. b. Why it is useful to use…

A: The Interpolation Search is an improvement over Binary Search for instances, where the values in a…

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: You are given 4 items as (ralue, weightpairs in this format {{20, 5), (60, 20}, {25, 10}, {X,…

A:

Q: create an implementation strategy To count the pairings that total to zero once the array is sorted,…

A: The TwoSumFaster technique may be used to linearly count all pairs in a sorted array that add up to…

Q: The worst-case scenario for the fast sort algorithm occurs when each partition consists of a single…

A: The answer is given below step.

Q: Consider an Array arr= {2, 3, 4, 1, 5}, what are the pivots that are returned as a subsequent…

A: Arrays in C: An array is a collection of similar type of data elements that are organized in a…

Q: Consider an array arrT = {12, 14, 17,18, 23, 24, 28, 33, 43}. Show using diagram how element 12 can…

A: The answer is given below

Q: On average, how many movements do we need when deleting an element from an array with n elements?

A: Answer: D) (n-1) / 2

Q: Consider applying insertion sort to an array with items that are randomly arranged and only have one…

A: The running time will be linear when performing insertion sort on an array with items that are…

Q: Suppose you have to search a key element from a list of array using divide and conquer technique,…

A: In this question we have to search an element using divide and conquer technique. This technique can…

Q: create a plan for implementation Instead of the binary-search-based linearithmic technique,…

A: Sort the array:Sort the given array in ascending order. This step is crucial for the quadratic…

Q: You Always Must analyze the running time of any algorithm. The time complexity should be as small as…

A: Conventional sorting algorithms may be excessive or ineffective in situations where the elements of…

Q: Question 2.An array containing the given n-element integers and the sum of the consecutive elements…

A: import java.util.*; public class Question2 {     int[] arr;     public Question2(int [] input)     {…

Q: Deleting the i-indexed element of an ordered array

A: Deleting the i-indexed element of an ordered arra

Q: Consider an array of integers: 2, 5, 6, 8, 9, 11, 13, 18 Draw out how the array would search for…

A: Introduction: Binary search: It is a technique based on the divide and conquer approach to find an…

Q: You are given the head of a linked list with n nodes. For each node in the list, find the value of…

A: Coded using C++.

Q: Show that a binary search in an ordered array with N values only requires lg N 1 compares to…

A: To show that a binary search in an ordered array with N values only requires lg N + 1 compares to…

Q: We need to merge 4 ordered arrays with sizes a, b, c, and d, respectively. We need to get an ordered…

A: Given:4 ordered arrays. let us suppose these arrays are: arr1[],arr2[],arr3[].  arr1[] have to size…

Q: On a p-processor linear array there are p items per processor. Show how you compute the prefixes…

A: In this question, we are asked to write the complexity of the prefixes of p2 in log(p)

Q: Given a large list of positive integers, count the number of k-subsequences. A k-subarray of an…

A: Dear Student, As no programming language is mentioned I am assuming it to be C++.

Q: Q3. Prove that the problem of finding an element in an array having n element has a lower bound of…

A: The answer is given below:-

Q: to every other element. When the input is the array [2, 9, 5, 4, 6

A:

Q: When we apply the mergesort on a 12-element array, how many comparisons do we need for the worst…

A: Merge sort is an efficient, general-purpose, comparison-based sorting algorithm. It works by…

Q: Build a bottom-up mergesort that makes use of the array's order by carrying out the following steps…

A: Implementing the bottom-up mergesort algorithm, which uses the array's order to find the subarrays…

Q: Every time I call remove‐from‐end on a dynamic array list it takes O(1) time, except if I’m using…

A: Dynamic array in computer science is the same flexible members, the same prayer members, the same…

Q: Discuss a method for determining the rank of an element K in the array LIST[1:n]. How can method…

A: A method for determining the rank of an element K in an array LIST[1:n] is to sort the array and…

Q: Find an 8-element array that require most number of Comparisons. Let`s assume S(n) = [?/2 + 1, 1,…

A: Shell sort algorithm works with most number of comparisons in sorting. In shell sort, elements at 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: Let A be a random permutation of [a,b,c,d,e,f,g,h]. Determine the probability that exactly 12…

A: Given   Let A be a random permutation of [a,b,c,d,e,f,g,h].Determine the probability that…

Q: Recall the implementation for Sorted Array-Based Collection in lecture and your reading. If N…

A: Given that, If N represents the number of elements in a sorted array based collection, then the size…

Q: Suppose that we use insertion sort on a randomly ordered array where elements have only one of three…

A: When analyzing the running time of the insertion sort algorithm on a randomly ordered array with…

Q: Assume an array has been ordered as (8, 14, 23, 45, 53, 67, 81, 85, 88, 94, 104, 111). If we apply…

A: Here in this question we have given an array and we have asked to apply binary search algorithm to…

Q: 5. On a p-processor linear array there are p items per processor. Show how you compute the prefixes…

A: Here we've p processor linear arrays , so here we've p* p that's p2 items , so if we traverse it…

Q: Prove that the Binary search in an ordered array with N keys uses no more than lg N  1 compares for…

A: The binary search algorithm divides the search interval in half repeatedly. It is intended to work…

Q: Instead of using exch(), provide a version of insertion sort that shifts heavier elements one place…

A: In this version, we will modify the insertion sort algorithm rather of utilising the exch() method…

Q: ort that makes use of the array's order by carrying out the following steps each time it needs to…

A: The bottom-up mergesort algorithm you described uses a different approach than the traditional…

Q: Given array: (623, 47, -42, 9, -308, -4, -17) After initial sorting, but before the negative and…

A: The bucket sorting algorithm divides the items into a predetermined number of buckets according to…

Q: Suppose arrays A and B are both sorted in increasing order and both contain n elements. What is the…

A: Approach: Start dividing the two arrays into two halves (not two halves, but both divisions should…

Random Variables

A random variable Z is a real valued function of the type Z: S → R on a sample space S. That means the function assigns a real number to every primitive event in the sample space. In other words, a random variable is a function mapping a sample space S to a set of real numbers R.