Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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- One disadvantage of using a For-loop in sorting algorithms is that the body of theFor-loop is repeatedly executed even if it is no longer necessary. One example isBubble Sort:Input: Array A[1 . . . n]Output: Array A sortedfor i ←1 to (n −1) dofor j ←1 to (n −i) doif A[j] > A[j + 1] thenA[j] ↔A[j + 1]return AIn the array [2, 1, 3, 7, 9] we know that when 2 and 1 are interchanged, early on in theexecution of the algorithm, the array is now sorted, and all subsequent iterations ofthe outer loop are unnecessary. *Write a version of Bubble Sort that avoids unnecessary comparisons*arrow_forwardGiven 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 pleasearrow_forwardTo binary search for a key in a sorted array, the maximum number of comparisons is log2 n. Choose one: Is it true or false?arrow_forward
- Given a sorted array containing 1, 2, 4, 8, 16, 32, 64, 128, 256, 512. Suppose we want to search for 512, a) How many comparisons are needed that compare the elements with 512 using Binary Search? b) How many comparisons are needed that compare the elements 512 using Linear Search?arrow_forwardWrite an array that when sorting using Selection Sort, requires O(n^2) time complexity and only O(n) using Insertion Sort. Provide explanations for how you got your answer.arrow_forwardFind a general formula to give information about the number of passes through the loop in both the best case and the worst case for the selection sort. Express in terms of N elements.arrow_forward
- An inversion in an array is a pair of elements that are "out of order," meaning that the element that occurs earlier in the array is bigger than the one that occurs later. What is the largest-possible total number of inversions an 8-element array can have? O 64 O 15 O None of the choices O 7 O 28 O 32arrow_forwardLet N be an unordered array of integers. The maximum number of compares required to find the minimum value is N. Select one True or Falsearrow_forwardWrite a program that reads the numbers and sorts them by using the Counting Sort algorithm and finally search a number from that array using Linear Search Algorithm. Input: 3 6 5 4 789 Search Item: 7 Output: Sorted Array: 3 4 5 6 789 Search item 7 is found.arrow_forward
- Using the method that decreases k by 1 after each pass, sort the following list of numbers using the shell sort ( k=3 ):13 9 5 7 12 2 3 14 6 1arrow_forwardGiven an integer array A[1..n] you are to list the k smallest elements. What method will you use when (i)k=0(1) Explain why you chose the algorithm you chose for parts (i)arrow_forwardThis code segment determine an average of even elements of Array T(50). s=0:c=0 For I = 1 To 50 1-....... !!!! 2-...... 3-....... 4-.. 5-...... 6-...... 1-If T(1) mod 2=0 then 2-s = s + T(1) 3- c=c+1 4-End if 5-Next 6-A = s / 50 1-If T(1) mod 2=0 then 2-s = s + T(1) 3- c=c+1 4-End if 5-Next 6-A = s / c 1-If T(1) mod 2=0 then 2-s = s + T(1) 3- c=c+1 4-Next 5-End if 6-A = s/c 1-If T(1) mod 2=0 then 2-s = s + T(I) 3- c=c+1 4-A = s/ 50 5-End if 6-Nextarrow_forward
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