Consider the n! different arrays consisting of the numbers {1,2,…,n} in some order. Prove that every deterministic comparison-based sorting algorithm has an average running time of O(n log n) on these n! inputs.

Q: Question 3: Give an algorithm that finds the maximum size subarray that is increasing (the entries…

A: The algorithm is given below.Explanation---For finding the maximum size subarray that is increasing…

Q: The someSort function shown in an earlier question runs faster if the input array is already sorted.…

A: ANSWER:- FALSE REASON:- Because some sort of function is the one that checks the elements in a…

Q: Show step-by-step application of the Selection sort algorithm for the array given below. What is the…

A: Complexity of selection sort is  o(n2)

Q: Write an algorithm that returns the index of the first item that is less than its predecessor in an…

A: Introduction Write an algorithm that returns the index of the first item that is less than its…

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

A: Ans: Suppose arrays A and B are both sorted in increasing order and both contain n elements, the…

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: Let A = [2, 2, 2, ......, 2] be an array where all of the elements are equal to one another.…

A: If the data is already sorted, Insertion Sort is the best choice  as it will complete its operation…

Q: Assume that we have a single list of length 16 that we want to search k times. If we use a sorting…

A: Binary Search : In software engineering, binary search, otherwise called half-span search,…

Q: Implement the following sorting algorithms to find the total number of element comparisons for the…

A: c program code for quick sort: #include <stdio.h>#include <stdlib.h>#include…

Q: What is the run-time complexity of the best comparison-based sorting algorithms? O(n) None of the…

A: Time complexity represents the number of times a statement is executed.

Q: Given a sorted array: int arr[] = {-5,-2,-1,1,5,8,12,18}. Square every element of the array such…

A: As there is no programming language mentioned so question is attempted in c++.     #include…

Q: No need for code. Algorithms are theoretical and please number the steps of the algorithm. Thanks!

A: partition an array of winter and summer temperatures such that the highest element on the left side…

Q: Develop and implement a linearithmic algorithm for computing the number of inversions in a given…

A: To compute the number of inversions in an array, we can use a modified version of the merge sort…

Q: Question 16 For an array of size n, the time taken by the bubble sort in the worst case is: O(log n)…

A: Bubble sort, at times alluded to as sinking sort, is a straightforward sorting algorithm that more…

Q: Algorithms perform differently on different data sets and as such we may be interested in either…

A: Answer ;  Algorithms do perform differently on different data sets. The worst - case time complexity…

Q: using java to solve this algorithm problem

A: The function is expected to return an INTEGER_ARRAY.The function accepts the following…

Q: ple: Input: [10,9,2,5,3,7,101,18] Output: 4 Explanation: The longest increasing subsequence is…

A: The given code provides two algorithms for finding the length of the longest increasing subsequence…

Q: Pseudo Code shown in Figure Q2(c)(i) is an algorithm for binary searching for an array with n number…

A: The complete solution  is attached in the next below steps:-

Q: The search algorithm that will most usefully benefit from the fact that the elements of n array are…

A: Given: The search algorithm that will most usefully benefit from the fact that the elements of n…

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: Consider a hybrid sorting algorithm that combines Mergesort with Insertion Sort. It uses Mergesort…

A: Actually, Algorithm is a step by step process.

Q: Algorithm to  illustrates the procedure for Fibonacci search. Here n, the number of data elements is…

A: The Fibonacci search algorithm is a search algorithm that works on sorted arrays. The algorithm…

Q: The following is a pseudocode representation of an algorithm that takes an array of integers and…

A: The complexity of the above algorithm is O( ). Because it includes two for loops for sorting. In the…

Q: Explain step-by-step, showing all possible detail, how a binary search algorithm works on the array…

A: Binary search is an efficient search algorithm that works on sorted arrays. It starts by comparing…

Q: The algorithm S(A,n,I) selects all the jut smallest element from an array A of n elements by using…

A: The linear select algorithm scans the given array linearly, or in other words, traverses the…

Q: ÁLGORITHM WYSIWYG (a: sorted array of n integers) i:= 1 p:= 1 while (i < n) if (a[i+1] = di1-p]) p:=…

A: Python code :- for the above algorithm, the above statement is true, it gives the longest sequence…

Q: a) Bubble Sort has worst-case run-time complexity O(n). b) Bubble Sort has worst-case run-time…

A: Statements that are correct - A. Bubble sort has worst case run time complexity O (n) . It is False…

Q: The order of inserting an element into a sorted list of size N implemented using array is 0(1)…

A: The concept used in this context is the process of inserting an element into a sorted list…

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: We have k sorted arrays, and we know in total there are n elements in these k arrays. Design an…

A: Given k sorted arrays, we know in total there are n elements in these k arrays. Design an algorithm…

Q: 1. Given an array A = [b, b, a, c, c, a, d, e, e], please use key-indexed counting sorting algorithm…

A: Sorting algorithms are algorithms that arrange elements of a list or array in a particular order,…

Q: time algorithm in class and, also, proved a lower bound of (nlogn) for any comparison-based…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Let A be an array of size n >= 6 containing integers from 1 to n-5, inclusive, with exactly five…

A: A hash table is a data structure that allows the efficient storage and retrieval of data based on a…

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…

Q: Give an efficient sorting algorithm for an array C[1,...,n] whose elements are taken from the set…

A: Find the required algorithm given as below :

Q: Consider the following algorithm that uses a sorted list of n elements (alist). What is the worst…

A: Check below mention step 2

Q: 1. Apply Quick-sort on a given sequence 71 21 10 95 76 3 50 61. What is the sequence after the first…

A: Solution : 1. Apply quick sort on a given sequence : 71 21 10 95 76 3 50 61. What is the sequence…

Q: . What is the Explain.

A: In computer science, worst-case complexity refers to the number of resources required by an…

Q: True False Given a sorted array of n integers, we can find the median of them in O(1) time. True…

A: We can sort n integers between 0 and 2n in O(n) time.   True   False   Given a sorted array of n…

Q: An algorithm for searching a large sorted array for a specific value x compares every third item in…

A: An algorithm for searching a large sorted array for a specific value x compares every third item in…

Q: Given an array A[0…n-1] , where each element of the array represents a vote in the election. Assume…

A: The algorithm for determining who wins the election is as follows: Algorithm: The first step of the…

Q: For each question, an algorithm will be described that operates on N elements, and your answer…

A: