provide one example for each common run time complexity:     O(1)  Constant- e.g. Array access      O(log n) logarithmic - e.g. Binary Search       O(n) linear - e.g. Linear Search

Q: Suppose the following array were passed in to a mergesort algorithm: 42 39 87 21| 56 93 43 35 Draw…

A: I have applied the merge sort algorithm in the array and I have show how our array will be…

Q: You want to design an algorithm, called minMax(A,p,r), that takes an array of integers and indexes…

A: It is mention that our algorithm should be non-recursive and with time complexity of Θ(n). Our…

Q: Write a Java Program to take an array of integers from the user and try to find the longest…

A: Required: Write a Java Program to take an array of integers from the user and try to find the…

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: Show the array [2, 4, 1, 5. 31 after the for loop in pancake_sort executes once. What is the…

A: Define find_max function:Initialize max_index to 0.Iterate through the array from index 0 to length…

Q: Perform an experimental analysis to test the hypothesis that Java's Array.sort method runs in O(n…

A: Let us take the best example of merge sort in this case to prove the average running time O(n log…

Q: Given an integer array nums sorted in non-decreasing order, return an array of the squares of each…

A: Here is the python code of the above problem. See below steps for code.

Q: Select all the statements that are false, bubble sort is defined below:*             Quicksort is…

A: Selection sort has the worst space complexity among all the sorting algorithm it is incorrect since…

Q: Write a C program that gets a positive integer number, n, from the user, and generates n positive…

A: I have provided  C  CODE  along  with  CODE  SCREENSHOT  and  OUTPUT  SCREENSHOT-----------------

Q: Write a Program to implement binary search using recursion.

A: parameters initial_value, end_value 1) find the middle element of array using…

Counting sort

The counting sort algorithm sorts an array’s contents by counting the repetition of each element that occurs in the array. A counting sort algorithm is a stable algorithm that works the best when the range of elements in the array is small, say for example from 0 to 9. The count which is the number of repetitions of an element in the array is mapped to an index of an auxiliary array, which is then saved in an auxiliary array. The counting sort algorithm has a stable time complexity of the order of O(size of array + size of auxiliary array). Let’s discuss the algorithm in detail as follows.