
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Transcribed Image Text:We can sort n integers between 0 and 2n in O(n) time.
True
False
Given a sorted array of n integers, we can find the median of them in O(1) time.
True
False
If ƒ = 0(g), then g = 0(f).
False
True
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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_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_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_forwardGiven a Sorted Array of integers containing duplicates. Find the frequency of every unique element present in the array. Frequency is defined as the number of occurrence of any element in the array. Solve in Javaarrow_forward
- write a computer program that produces the desired output from the given input. Input: Elements in a finite set SOutput: Elements in ℘(S)Algorithm: Use recursion.arrow_forwardTrue or false? The best-case number of comparisons needed to conduct a linear search of an array of n integers is n. True Falsearrow_forwardWrite a Java program to sort an array of given integers using Selection Sort Algorithm.arrow_forward
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