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- Coding Hacks Given an integer, write an algorithm/code to find the square of the given integer without using a multiplication or division operator. Also, the use of the pow() [power] function is not allowed.Explain how bubble sort algorithm works. (3-5 sentences)Case Study 3 Part 1 - Euclidean Algorithm 1. Use the Euclidean Algorithm to find the greatest common divisor of ( integers 396 and 480. (Show all workings) Part 2 Problem: Measuring Efficiency One challenge we will face is how to compare the efficiencies of two or more algorithms, to determine which is more efficient. We will have to use a common measure for example time or space First, we must determine what is most important to us (time or space or some other measure). Then compare the efficiencies (e.g., how much time each algorithm takes to execute, or how much space each algorithm uses). The challenge of timing an algorithm may introduce unwanted bias or overheads, therefore, we need a method that makes comparison fair. We are usually interested in the order of growth of the running time of an algorithm, not in the exact running time. Asymptotic notation gives us a method for classifying functions according to their rate of growth. Scenario: Bigi-Xam 9.0 is a mobile app…
- Design and analysis of Algorithms Computer science Q) Solve the following 0/1 knapsack problem using dumami programming where array of the profits is p= ( 11,21,31,33) and array of weight is w= ( 2,11,22,15) knapsack capacity os M= 40 and number of items is n= 4Q1. (A) Draw a solution algorithm (at the same time) to find the maximum and minimum values of n matrix elements, and input the pseudo code. (B) The number of comparisons between the algorithms is recursively related and solved by assuming n=2k . © How to compare this algorithm with a simple algorithm to solve the same problem?algorithm foo(a1, a2, ..., an) for i + 1 to n - 1 kei for jei+ 1 to n if a; < ak then k ej interchange ak and aj (Note: indentation is important) Bubble sort O Quicksort None of the choices Insert Sort Selection Sort
- Problem Description Inversion Count for an array indicates – how far (or close) the array is from being sorted. If array is alreadysorted then inversion count is 0. If array is sorted in reverse order that inversion count is the maximum.Formally speaking, two elements a[i] and a[j] form an inversion if a[i] > a[j] and i < j .Example: The sequence 2, 4, 1, 3, 5 has three inversions (2, 1), (4, 1), (4, 3).Requirement Design should be based on divide and conquer.Running time should NOT be worse than .Must use recursion to solve the subproblems. Input Specification Your program should read from an input file, which starts with a line indicating the number of test cases.Each of the following lines indicates a test case, and each test case includes a sequence of numbers(separated by spaces) for which you need to count inversions. Sample Input 32 4 1 3 51 2 4 8 9 3 5 6 1 20 6 4 5Output Specification For each test case, print one line with a format of The sequence has ? inversions in…Explain the working of Binary Search Algorithm with example16) We compare sorting algorithms by examininga) the number of instructions executed by the sorting algorithm b) the number of instructions in the algorithm itself (its length)c) the types of loops used in the sorting algorithmd) the amount of memory space required by the algorithme) whether the resulting array is completely sorted or only partially sorted
- Consider the matrix A=[3 −8 −7 5 −9 7 −15 22 −13 6] a) Copy positive numbers into B b) Copy negative numbers into C c) Find the locations in A where the numbers are between −10 and 10 inclusively Please use matlabQ: Perform shortest job first (Non-preemptive for the following data).Union of two arrays W Basic Accuracy: 52.81% Submissions: 67032 Points:1 Given two arrays a[] and b[] of size n and m respectively. The task is to find union between these two arrays. Union of the two arrays can be defined as the set containing distinct elements from both the arrays. If there are repetitions, then only one occurrence of element should be printed in the union. Example 1: Input: 5 3 1 2 3 4 5 1 2 3 Output: 5 Explanation: 1, 2, 3, 4 and 5 are the elements which comes in the union set of both arrays. So count is 5.