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You are given the following array A = {12, 1, 15, 3, 0, 35, 11, 40,...
You want to sort (in increasing order) the following array of integers using quicksort as we...
You want to sort (in increasing order) the following array of integers using quicksort as we have described it and used it in class. You are asked to specifically show your steps and the resulting array after one pass of quicksort. Show and explain each of your steps. Note 1: in case you are not using the algorithm presented and traced in class, you are expected to show all your steps accompanied with algorithm instructions and variables' values. Note 2:...
Java 1. (5) Assume selection sort is applied to the following array. Show the state of...
Java
1. (5) Assume selection sort is applied to the following array. Show the state of the array after the first pass of the outer loop. 50 35 15 100 90 20 10 25 2. (5) Assume bubble sort is applied to the following array. Show the state of the array after the first pass of the outer loop 50 35 15 100 90 20 10 25 3. (5) Assume quicksort is applied to the following array. Show the state...
3 Quicksort 10 points (5 points each) 1. Suppose that you are given an array A[1..n]...
3 Quicksort 10 points (5 points each) 1. Suppose that you are given an array A[1..n] and that you want to sort it using quicksort. Further suppose that your algorithm could consult an oracle to predict what element to use as the pivot. Which element would it pick so that your algorithm would run as fast as possible? What is the running time given your pivot? 2. Run the partition algorithm to partition the array A (6,7,2,4, 10,8, 1,9)
Consider the array a = {3, 5, 2, 6, 0, 2, 1} Trace the execution of...
Consider the array a = {3, 5, 2, 6, 0, 2, 1} Trace the execution of QuickSort(a). What is the best, average, and worst-case time complexity of QuickSort?
Given the following array of integers (of capacity 20) with 12 items: 0 1 2 3...
Given the following array of integers (of capacity 20) with 12 items: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 8 4 10 15 5 7 11 3 9 13 1 6 Index of last element = 11 Does this array represent a min heap? If not, convert it to a min heap (i.e., “heapify” it). Please show all steps.
Given the array A = (5, 7, 14, 8, 11, 15, 9, 13, 12, 10), show...
Given the array A = (5, 7, 14, 8, 11, 15, 9, 13, 12, 10), show how the Insertion sort and Quicksort algorithms work. Step through each algorithm, illustrating how it modifies the input array A. State the worst- and best-case computational complexity of the two algorithms in terms of the size |A| of the input array, and explain why.
Data Structure and Algorithm (a) Given the following integer list: 10 23 12 34 a[0] a[1]...
Data Structure and Algorithm
(a) Given the following integer list: 10 23 12 34 a[0] a[1] a[2] a[3] a[4] Show a trace (step by step) for each execution of Bubble Sort based on the following algorithm. //passes llone pass l/one comparison for (pass = 1 ; pass<= n ; pass++) for (i = 0); i<=n-2; i++) if (a[i] > a[i+1]) { hold = a[i]; a[i] = a[i+1]; a[i+1] = hold; } l/one swap (6 marks)
Please answer in Java for an immediate upvote :) Given the following array of 8 elements,...
Please answer in Java for an immediate upvote :) Given the following array of 8 elements, trace the merge sort algorithm. Assume the array is to be sorted in ascending order. 81 16 4 6 34 11 23 67 ANSWER: (Hint 6 – lines): Why don’t we select the median element of all the n-entries in the array to be our pivot point? ANSWER:
Question 3 Searching Algorithms [12 marks (4 marks) Define a method that when passed an array...
Question 3 Searching Algorithms [12 marks (4 marks) Define a method that when passed an array of integers arr and another integer target, returns the last index in arr where target exists and -1 if target isn't found in arr a. b. (4 marks) Provide a trace, in the form of a logic table, of running the following method for 1, 4, 4, 4, 5, 7, 8, 12, 12, 15, 16, 17, 35, 35, 35, 40 arr = target 14...
A. What is the time complexity of Insertion Sort? B. Explain why Insertion Sort has the...
A. What is the time complexity of Insertion Sort? B. Explain why Insertion Sort has the time complexity you listed above in Part A. C. Show the steps followed by the Quicksort algorithm given below in pseudocode when sorting the following array. Algorithm Quicksort (A, left, right) if (left < right) pivot Point + [(left+right)/2] // note central pivot it left - 1 j right + 1 do do iti + 1 while (i < A.size) and (A[i] = A[pivotPoint])...
You want to sort (in increasing order) the following array of integers using quicksort as we have described it and used it in class. You are asked to specifically show your steps and the resulting array after one pass of quicksort. Show and explain each of your steps. Note 1: in case you are not using the algorithm presented and traced in class, you are expected to show all your steps accompanied with algorithm instructions and variables' values. Note 2:...
Java
1. (5) Assume selection sort is applied to the following array. Show the state of the array after the first pass of the outer loop. 50 35 15 100 90 20 10 25 2. (5) Assume bubble sort is applied to the following array. Show the state of the array after the first pass of the outer loop 50 35 15 100 90 20 10 25 3. (5) Assume quicksort is applied to the following array. Show the state...
3 Quicksort 10 points (5 points each) 1. Suppose that you are given an array A[1..n] and that you want to sort it using quicksort. Further suppose that your algorithm could consult an oracle to predict what element to use as the pivot. Which element would it pick so that your algorithm would run as fast as possible? What is the running time given your pivot? 2. Run the partition algorithm to partition the array A (6,7,2,4, 10,8, 1,9)
Given the array A = (5, 7, 14, 8, 11, 15, 9, 13, 12, 10), show how the Insertion sort and Quicksort algorithms work. Step through each algorithm, illustrating how it modifies the input array A. State the worst- and best-case computational complexity of the two algorithms in terms of the size |A| of the input array, and explain why.
Data Structure and Algorithm
(a) Given the following integer list: 10 23 12 34 a[0] a[1] a[2] a[3] a[4] Show a trace (step by step) for each execution of Bubble Sort based on the following algorithm. //passes llone pass l/one comparison for (pass = 1 ; pass<= n ; pass++) for (i = 0); i<=n-2; i++) if (a[i] > a[i+1]) { hold = a[i]; a[i] = a[i+1]; a[i+1] = hold; } l/one swap (6 marks)
Question 3 Searching Algorithms [12 marks (4 marks) Define a method that when passed an array of integers arr and another integer target, returns the last index in arr where target exists and -1 if target isn't found in arr a. b. (4 marks) Provide a trace, in the form of a logic table, of running the following method for 1, 4, 4, 4, 5, 7, 8, 12, 12, 15, 16, 17, 35, 35, 35, 40 arr = target 14...
A. What is the time complexity of Insertion Sort? B. Explain why Insertion Sort has the time complexity you listed above in Part A. C. Show the steps followed by the Quicksort algorithm given below in pseudocode when sorting the following array. Algorithm Quicksort (A, left, right) if (left < right) pivot Point + [(left+right)/2] // note central pivot it left - 1 j right + 1 do do iti + 1 while (i < A.size) and (A[i] = A[pivotPoint])...
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