4. Trace the following sorting algorithm witn a small number sets [10 7 23 5 20]SELECTION-SORT (A)n = A. lengthfor j=1 to n-1smallest= jfor i = j+1 to nif A[i] <A[ smallest]smallest= iexchange A[j]with A[smallest]• Analyse and find out, what is the running time of the algorithm for allcases.

Sorting is used to arrange the array elements in particular pattern , it can be in ascending or…

Answered: 4. Trace the following sorting…

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

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Similar questions

Given A[1...n] which is an increasingly sorted array of distinct positive integers, and t which is an integer; provide an O(n) algorithm deciding whether A contains two distinct elements x and y such that x + y = t.
Let A[1, ., n] be a sorted array of distinct integers. Write an efficient algorithm with proper pseudocode for finding whether an element exists such that: A[i] i, for 1 <= i <= n. (i.e., an element whose index and value are both equal to 'i'). ==
How did my textbook get 2(n − 1) + 1 = 2n − 1 comparisons are used whenever this algorithm is applied: (textbook solves the time complexity of finding the maximum element in a finite set using the following algorithm) Algorithm below: procedure max(a1, a2,…, an: integers) max := a1 for i := 2 to n if max < ai then max := ai return max{max is the largest element}
A surprisingly simple algorithm for the generation of all permutations is obtained by mixed radix countingwith the radices [2, 3, 4, . . .] (column digits in figure 10.4-A). Whenever the first j digits change with[fxtbook draft of 2008-January-19]232 Chapter 10: Permutationsan increment then the permutation is updated by reversing the first j + 1 elements. As with lex order thefirst half of the permutations are the complements of the permutations in the second half, now rewriteR = I C I (10.4-1)to see that the first half of the inverse permutations are the reversed inverse permutations in the secondhalf. This can (for n even) also be observed from the positions of the largest element in the inversepermutations.
Comparison of the time complexity among different sorting algorithms ? (multiple choice) ^: Indicates exponent operation 單選或多選: ☐a. Worst case of Radix sort is O(n^2) Ob. Best case of Bubble sort is O(n^2) c. Worst case of Quick sort is O(n^2) Od. Best case of Selection sort is O(n^2) ☐e. Best case of Radix sort is O(nlogn) f. Average case of Shell sort is O(n) Og. Worst case of Merge sort is O(nlogn) Oh. Best case of Quick sort is O(n) ☐i. Average case of Insertion sort is O(n^2) O j. Average case of Quick sort is O(n^2) Ok. Average case of Merge sort is O(nlogn) O 1. Worst case of Selection sort is O(n^2)
A certain algorithm takes twice as long to process 1000n elements as it does to process n elements. Give a possible time complexity for this algorithm and a specific value of n.
What is the output of this algorithm? Determine the iterative correlation for the time complexity. Solve this relation. Which design technique is used in this algorithm? Is this algorithm better than the brute force algorithm which gives the same result? Why is that?
What is the runtime of each line in the selection sort pseudocode and analyze the running time of the selection sort algorithm
Derive the worse-case upper-bound of Bubble Sort algorithm.

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