List the resulting array after each iteration of the outer loop of the selection sort algorithm. Indicate the number of character-to-character comparisons made for each iteration (line 07 of the Selection Sort algorithm). Sort the following array of characters (sort into alphabetical order): CQRBPDX.
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- Write pseudocode of an insertion sort algorithm. Illustrate the execution of the algorithm on the array X = {2, 11, 98, 23, 48, 33, 97, 61, 3}, writing the intermediate values of X at each iteration of the algorithm. Please and thank youWhat is the time complexity for the following code/program? 1.5 A binary search works like this: in a sorted array, the search algorithm compares the target value to the middle element of the array. If they are not equal, the half in which the target cannot lie is eliminated and the search continues on the remaining half, again taking the middle element to compare to the target value and repeating this until the target value is found. If the search ends with the remaining half being empty, the target is not in the array. What is the complexity of binary search? Why?Consider the following array of int values. [17, 11, 6, 22, -3, 8, 4, 22, 2, 35, -4, 10] Write the contents of the array after 4 passes of the outermost loop of selection sort. Assume selection sort is sorting slots from low-to-high Write the contents of the array during each of the the recursive calls of merge sort.
- Computer Science 1)What are the steps in the selection sort algorithm? Group of answer choices Split the array into two subarrays, sort each subarray, and append the two arrays together. Starting at index 0, search the entire array to find the smallest value and swap the smallest value with the value at index 0. 2)Suppose there an integer threshold such that the expression n2 is equal to the expression 9n-8 at that threshold, and is larger for all integers values larger than the threshold. What does this mean?# A has a random order of integers from 0 to 100 inclusive.A = random.sample(range(0, 101), random.randint(1,100))print(A) # A is made of entirely identical entries (all 1s).A = [int(1)]*random.randint(1,100)print(A) Conduct doubling experiments to compare the run time of merge sort vs. quick sort (for both C and D ). Plot the results (both case of array) for array sizes n = 2, 4, ... 1024. merge and quick sort are provided below ### Merge Sort ###def merge (front, back): pos_f, pos_b = 0,0 merged = np.zeros(len(front)+len(back)) for i in range (len(merged)): if pos_f == len(front): merged[i] = back[pos_b] pos_b += 1 elif pos_b == len(back): merged[i] = front[pos_f] pos_f += 1 elif front[pos_f] < back[pos_b]: merged[i] = front[pos_f] pos_f += 1 else: merged[i] = back[pos_b] pos_b += 1 return merged def merge_sort(A): n = len(A) if n <= 1:…Use Compiler of any programming language to create array A= [n] , Generate A randomly as follows, then apply insertion and selection, bubble sort, Marge-sort, Quick sort for the same generated array. You should find the execution time for each algorithm of n items n Insertion sort Selection sort bubble sort Marge sort Quick sort 100 500 1000 5000 10000 50000 100000 1000000
- Q1. Write the code necessary to find the largest element in an unsorted array of integers. What is the time complexity of this algorithm? Q2. Determine the growth function and order of the following code fragment: for (int count=0; count < n; count++) { for (int count2=0; count2 < n; count2=count2+2) { System.out.println(count, count2); } } Q3. Determine the growth function and order of the following code fragment: for (int count=0; count < n; count++) { for (int count2=0; count2 < n; count2=count2*2) { System.out.println(count, count2); } } Q4. What is the order of the following growth functions? 10n2 + 100n + 1000 10n3 – 7 2n + 100n3 n2 log n Q5. Arrange the growth functions of Q4 in ascending order of efficiency for n=10 and again for n = 1,000,000.Suppose the binary search algorithm is used to find the value 24 in the array below. | 10 | 15 | 17 | 24 | 35 | 36 | 41 | 45 | 48 | 57 | 65 | 68 | 70 | 74 | 80 | 83 | 90 | What will be the value of the variable last when the binary search algorithm completes? a. 16 b. 8 c. 5 d. 7 e. 6Java Insertion Sort but make it read the data 12, 11, 13, 5, 6 from a file not an array // Java program for implementation of Insertion Sort public class InsertionSort { /*Function to sort array using insertion sort*/ void sort(int arr[]) { int n = arr.length; for (int i = 1; i < n; ++i) { int key = arr[i]; int j = i - 1; /* Move elements of arr[0..i-1], that are greater than key, to one position ahead of their current position */ while (j >= 0 && arr[j] > key) { arr[j + 1] = arr[j]; j = j - 1; } arr[j + 1] = key; } } /* A utility function to print array of size n*/ static void printArray(int arr[]) { int n = arr.length; for (int i = 0; i < n; ++i) System.out.print(arr[i] + " "); System.out.println(); } // Driver method…
- Suppose an array sorted in ascending order is rotated at some pivot unknownto you beforehand. (i.e., 0 1 2 4 5 6 7 might become 4 5 6 7 0 1 2).Find the minimum element. The complexity must be O(logN)You may assume no duplicate exists in the array."""def find_min_rotate(array): """ Finds the minimum element in a sorted array that has been rotated. """ low = 0 high = len(array) - 1 while low < high: mid = (low + high) // 2 if array[mid] > array[high]: low = mid + 1 else: high = mid return array[low] def find_min_rotate_recur(array, low, high): """ Finds the minimum element in a sorted array that has been rotated. """ mid = (low + high) // 2 if mid == low:.1. Given an array A = [b, b, a, c, c, a, d, e, e], please use key-indexed counting sorting algorithm to sort the array. Please list your trace step-by-step. 2. Given a set of geometric points {(x1, y1), ..., (xn, yn)}, please design an O(n2lgn) algorithm to check if there are three or more points that lie on a single straight line. 3. Please use Shell Sort Algorithm (without any performance improvement techniques, e.g. Augmented by insertion sort) to sort the following array. A = [5, 6, 7, 8, 9, 10, 4, 3, 2, 1] 4. Please state the known best lower bound for the 3 Sum problem.Assume you have a sorted list of 100 pre-sorted elements and a recursive implementation of Quicksort. How many calls to Quicksort are made in order to fully sort it. Assume that the algorithm makes the recursive Quicksort calls before checking if it has an array of size 1 (see https://www.geeksforgeeks.org/quick-sort/ for specific pseudo code or the textbook Introduction to Algorithms 3rd Edition page 171). 85 101 50 103 199 Assume you have the following array: 40, 20, 15, 40, 90, 60, 50, 70. Which of the following elements, if selected as the pivot, would give you the most unequal sub-arrays to be sorted using quicksort? 30, 70 20, 15 40, 90 90, 70 90, 15 Assume you have the following array: 40, 20, 15, 40, 90, 60, 50, 70. Which of the following elements, if selected as the pivot, would give you the most unequal sub-arrays to be sorted using quicksort? 30, 70 20, 15 40, 90 90, 70 90, 15 Assume we have the array 4,10,3,5,1,2,5,6,1,2,3. What are the swaps that will occur after we…