Bubble Sort An array is nearly-d sorted if any element is not further than d spots from its sorted position. Consider the sorted list of elements: X = [1,5,9, 10, 15, 20, 34, 57, 66, 91] The same elements form a nearly-sorted list: A = [1,5, 10, 15, 9, 20, 34, 57, 91, 66] with d = 2 because each value is, at most, 2 spots from its sorted position. Consider that the value 9 is out of order as it is in index 4² in A while it is in index 2 in B. Similarly, B = [1,5, 10, 9, 15, 20, 34, 57, 91, 66] %3D is nearly sorted with d = 1 as value 9 is in index 3 instead of index 2, 66 is in index 9 instead of index 8 and so on. Bubble Sort³, a sorting algorithm we have not covered, has an advantage over other methods when operating on nearly-d sorted lists. i Describe Bubble Sort's Advantage in the best case scenario over other methods. ii Bubble Sort need only pass through a nearly-d sorted list d times to ensure the list is sorted. Justify why this is the case. (Hint: consider the early termination condition of Bubble Sort)

Bubble Sort An array is nearly-d sorted if any element is not further than d spots from its sorted position. Consider the sorted list of elements: X = [1,5,9, 10, 15, 20, 34, 57, 66, 91] The same elements form a nearly-sorted list: A = [1,5, 10, 15, 9, 20, 34, 57, 91, 66] with d = 2 because each value is, at most, 2 spots from its sorted position. Consider that the value 9 is out of order as it is in index 4² in A while it is in index 2 in B. Similarly, B = [1,5, 10, 9, 15, 20, 34, 57, 91, 66] %3D is nearly sorted with d = 1 as value 9 is in index 3 instead of index 2, 66 is in index 9 instead of index 8 and so on. Bubble Sort³, a sorting algorithm we have not covered, has an advantage over other methods when operating on nearly-d sorted lists. i Describe Bubble Sort's Advantage in the best case scenario over other methods. ii Bubble Sort need only pass through a nearly-d sorted list d times to ensure the list is sorted. Justify why this is the case. (Hint: consider the early termination condition of Bubble Sort)

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Related questions

Q: Write a program to remove duplicate values in an array. e.g. arx[ ]={1,2,3,2,4,5,4,6,7,4,6,5,7}…

A: PROGRAM CODE: #include <stdio.h> // include header file for standard input…

Q: Show how the Selection Sort works on this list array to sort it in ascending order. 55 35 20 80 90…

A: This question comes from Data Structure which is a paper of computer science. Let's discuss it in…

Q: Java Insertion Sort but make it read the data 12, 11, 13, 5, 6 from a file not an array // Java…

A: Please find the answer below :

Q: For each n-element array an, the first element is always what is returned by a[1]. What is true, and…

A: If an is an array with n elements, a[1] always returns the first value. Choose one: True False…

Q: 25. Minimum Difference Sum Given an array of n integers, rearrange them so that the sum of the…

A: Below I have provided C Programming. Also, I have attached the screenshot of the code and output of…

Q: Can Boolean methods be used to make input validation more modular? Why does this happen or why…

A: Given: Input validation may be modularized with the use of Boolean procedures, the answer being…

Q: 6 - Merge sorted arrays Program a method merge_sorted(a,b) that when given two sorted arrays a and…

A: #include <iostream> using namespace std; void merge_sorted(int arr1[], int x, int arr2[], int…

Q: array unordered Arr has unsorted integers. SortedArr is an integer array. SortedArr performs which…

A: The answer is given below step.

Q: Given a 4-element array with distinct values: {x1,x2,x3,x4} , what is the minimum number of…

A: There are various sorting algorithms used to sort the values of an array and few of them are as…

Q: Array X is [a, b, c, . . . , y] has 25 integers. To find median of medians we form five sub-arrays:…

A: Below I have provided an python program for the given question. Also, I have attached a screenshot…

Q: Python Program a method merge_sort(a,b) that when given two sorted arrays a and b, returns a new…

A: Given array of elements a = [1,3,5,6,10]b = [1,4,6,8] the resulting array should be: c =…

Q: Let A be an array, where each of the n elements is a randomly chosen integer between 1 and n. For…

A: Bubble Sort: Bubble Sort compares adjacent elements in the array and swaps them if they are in the…

Q: Find an element in a sorted array. I import math def jump_search(arr,target): I Worst-case…

A: Define a function jump_search(arr, target) that takes an array (arr) and a target value (target) as…

Q: For each n-element array an, the first element is always what is returned by a[1]. What is true, and…

A: An array is a collection of items of the same data type stored at contiguous memory locations. We…

Concept explainers

Merge sort

Merge Sort recursively sorts a given collection of numbers or elements by using the divide and conquer strategy in less time. It is one of the most used algorithms, with the worst-case time complexity of O (n log n). It was invented by John Von Neumann. The algorithm continuously divides an array into sub-arrays until each sub-array consists of a single element. It then merges those sub-arrays to produce a sorted array.

Question

Bubble Sort
An array is nearly-d sorted if any element is not further than d spots from its sorted position.
Consider the sorted list of elements:
X = [1,5, 9, 10, 15, 20, 34, 57, 66, 91]
The same elements form a nearly-sorted list:
A = [1,5, 10, 15, 9, 20,34, 57, 91, 66]
with d = 2 because each value is, at most, 2 spots from its sorted position. Consider that the value
9 is out of order as it is in index 4? in A while it is in index 2 in B. Similarly,
B = [1, 5, 10, 9, 15, 20, 34, 57, 91, 66]
is nearly sorted with d = 1 as value 9 is in index 3 instead of index 2, 66 is in index 9 instead of
index 8 and so on.
Bubble Sort3, a sorting algorithm we have not covered, has an advantage over other methods
when operating on nearly-d sorted lists.
i Describe Bubble Sort's Advantage in the best case scenario over other methods.
ii Bubble Sort need only pass through a nearly-d sorted list d times to ensure the list is sorted.
Justify why this is the case. (Hint: consider the early termination condition of Bubble Sort)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions

For each n-element array an, the first element is always what is returned by a[1]. What is true, and what is false?
Help please
9.). integer array nums and an integer k, return the length of the shortest non-empty subarray of nums with a sum of at least k. If there is no such subarray, return -1. A subarray is a contiguous part of an array. Example 1: Input: nums = [1], k = 1 Output: 1 Example 2: Input: nums = [1,2], k = 4 Output: -1 Example 3: Input: nums = [2,-1,2], k = 3 Output: 3.
For each n-element array an, the first element is always what is returned by a[1]. What is true, and what is false?
int [] list = {18,57,8,89,7} and the length = 5 Sort the array using insertion sort algorithm. Fill out the trace table public class InsertionSort { /** The method for sorting the numbers */ public static void insertionSort(int[] list) { for (int i = 1; i < list.length; i++) { /** insert list[i] into a sorted sublist list[0..i-1] so that list[0..i] is sorted. */ int currentElement = list[i]; int k; for (k = i - 1; k >= 0 && list[k] > currentElement; k--) { list[k + 1] = list[k]; } // Insert the current element into list[k+1] list[k + 1] = currentElement; } } /** A test method */ public static void main(String[] args) { int[] list = {18,57,8,89,7}; insertionSort(list); for (int i = 0; i < list.length; i++) System.out.print(list[i] + " "); } }
Let A = [5,5,5,5,5,...,5] be an array where all of the elements are equal to 5. Determine whether Selection Sort or Insertion Sort sorts this array faster.
Data Structure & Algorithm: Here is an array with exactly 15 elements:1 2 3 4 5 6 7 8 9 10 11 12 13 14 15Suppose that we are doing a serial search for an element. Circle any elements that will be found by examining two or fewer numbers from the array.
Quicksort is a powerful divide-and-conquer sorting algorithm that can be described in just four lines ofpseudocode. The key to Quicksort is the PARTITION(A, p, r) procedure, which inputs elementsptorof array A,and chooses the final element x = A[r] as the pivot element. The output is an array where all elementsto the left ofxare less thanx, and all elements to the right of x are greater than x. In this question, we will use the Lomuto Partition Method from class and assume that the pivot isalwaysthe last (right-most) element of the input array. Question: Let A be an array withn= 2k−1 elements, where k is some positive integer. Determine a formula (in terms of n) for the minimum possible number of total comparisons required by Quicksort, as well as a formula for the maximum possible number of total comparisons required by Quicksort. Use your formulas to show that the running time of Quicksort is O(nlogn) in the best case and O(n2) in the worst case.
Assume that we have a sorted list in an array: Index: 0 1 2 3 4 5 6 7 8 9 10 11 numbers: 12 15 17 19 22 26 28 30 32 34 36 38 we want to use the binary search algorithm to find the value 19 in the list. What would be the indexes of the array that the binary search would check to find the value 19 the indexes and not the actual numbers in the list otherwise
For each n-element array an, the first element is always what is returned by a[1]. What is true, and what is false?
The contents of the array below represent a BST (Binary Search Tree). What would be the contents of the array after 30 is deleted. Briefly explain how 30 would be deleted. Use an X to represent any empty spots in the array. 30 2050 10 25 40 60
Number of times you need to assign a value (let say -1) to all elements of a 4-demnsional array A[k, l, m, n] (to initialize it) can be expressed mathematically as product of sets cardinalities Write a pseudo-code that does this assignment.