Consider the following array of sorted integers: Using the binary search algorithm, search for the value 23. Show the sequence of array elements that are compared, and for each comparison, indicate the values for low and high. 0 10 1 15 2 3 4 5 25 30 33 34 6 46 7 55 89 78 84 10 96 11 99
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- Given a set of numbers: A = {3, 41, 52, 26, 38, 57, 9, 49}. Use binary-search for finding the number 38 for the sorted array based on Question 1, show each step. No Code neded pleaseGiven an unsorted array write the pseudo code to sort it and find a specificelement xa. Find (array, x)// first sort the array// search for element x using binary searchBinary Search algorithm uses the divide-and-conquer technique to find elements in O(logn) steps. Given the following sorted array that has 9 elements, what is the scope of the search (First index and last index of the array segment) in each iteration of the binary search algorithm while looking for the element "51"? Note: Numbers that show up in the first row are the array indexes 0. 1 3 4 6. 7 8. 9 12 19 21 30 32 37 44 51 1st Iteration -> First = 0, Last = 8 2nd Iteration -> First = 5, Last = 8 3rd Iteration -> First = 5, Last = 6 %3D O 1st Iteration -> First = 0, Last = 8 2nd Iteration -> First = 5, Last = 8 Brd Iteration -> First = 7, Last = 8 4th Iteration -> First = 8, Last = 8 O 1st Iteration -> First = 0, Last = 8 2nd Iteration -> First = 0, Last = 3 3rd Iteration -> First = 2, Last = 3 4th Iteration -> First = 3, Last = 3 O1st Iteration -> First = 0, Last = 8 2nd Iteration -> First = 0, Last 3 Brd Iteration -> First = 2, Last = 3
- List all the steps used to search for 18 in the sequence 1, 2, 4, 8, 10, 12, 18, 20, 22. Be sure to show EVERY step. A. linear search B. binary search Use the following array and indices in your answer: Array: 1 2 4 8 10 12 18 20 22 Index: 1 2 3 4 5 6 7 8 9Course: Data structure and algorithms: Topic: Algorithm Complexity: Please solve it o emergency basis: Question 2: Imagine that we want to keep track of friendships between n people. We can do this with an array of size nXn. Each row of the array represents the friends of an individual, with the columns indicating who has that individual as a friend. For example, if person j is a friend of person i, then we place a mark in column j of row i in the array. Likewise, we should also place a mark in column i of row j if we assume that friendship works both ways. What will be the space complexity of this problem.Write a permutation of 9 integers which is not in sorted order. Sort the integers using the sorting algorithms: Bubble Sort, Insertion Sort, Selection Sort and Quick Sort. Assume that the numbers are stored in an array. You should show the contents of the array after each iteration for all the algorithms.
- Consider the following array of six elements: Perform a Binary Search on this array to find the element 78 using the Divide andConquer approach.Binary Search algorithm uses the divide-and-conquer technique to find elements in O(logn) steps. Given the following sorted array that has 9 elements, what is the scope of the search (First index and last index of the array segment) in each iteration of the binary search algorithm while looking for the element "51"? Note: Numbers that show up in the first row are the array indexes 2 3 4 6 7 12 19 21 30 32 37 44 51 • 1st Iteration -> First = 0, Last = 8 2nd Iteration -> First = 5, Last = 8 3rd Iteration -> First = 5, Last = 6 1st Iteration -> First = 0, Last = 8 2nd Iteration -> First = 0, Last = 3 3rd Iteration -> First = 2, Last = 3 1st Iteration -> First = 0, Last = 8 2nd Iteration -> First = 5, Last = 8 3rd Iteration -> First = 7, Last = 8 4th Iteration -> First = 8, Last = 8 1st Iteration -> First = 0, Last = 8 2nd Iteration -> First = 0, Last = 3 3rd Iteration -> First = 2, Last = 3 4th Iteration -> First = 3, Last = 3Use the following sorted array to answer the following questions: 1 3 4 7 8 10 11 1 2 3 5 7 11 13 17 19 23 29 31 What values (not index) are examined in what order when searching for 19 using binary search? For example, when it examines whether 1, 3, 5 and 19 are equal to 19, write down 1, 3, 5, 19.
- Let the array A={50,40,30,20,10} and we wan to sort it in ascending way using insertion sort then the number of comparisons are a. 10 b. 5 c. 25 d. 0The binary search algorithm that follows may be used to search an array when the elements are in order. This algorithm is analogous to the following approach to finding a name in a telephone book. a. Open the book in the middle and look at the middle name on the page. b. b. If the middle name isn't the one, you're looking for, decide whether it comes before or after the name you want. c. Take the appropriate half of the section of the book you were looking in and repeat these steps until you land on the name. 1. Let the bottom be the subscript of the initial array element. 2. Let the top be the subscript of the last array element. 3. Let found be false. 4. Repeat as long as the bottom isn't greater than the top and the target has not been found. 5. Let middle be the subscript of the element halfway between bottom and top. 6. If the element in the middle is the target 7. Set found to true and index to middle. else if the element in the middle is larger than the target 8. Let the top be…231For the given array, find the kth largest element.** Note: Sorting is not allowed5Input format:Input:321564line 1 consist of array elements, separated by a spaceline 2 consist of k valueEg:output:Input:111output: