For example, if the two adjacent elements are [4, 1], then the final output will be [1, 4]. We start with the first element (index in the array ). The estimation of a time complexity is based on the number of elementary functions performed by an algorithm. ; Best … This mcq quiz question-answer useful for IT students. It’s also a stable sorting algorithm and the polygon filling algorithm uses the bubble sort concept. Due to its simplicity, bubble sort is used to introduce sorting algorithms in computer science. c) Algorithm that involves swapping The three factors contributing to the sort efficiency considerations are the efficiency in coding, machine run time and the space requirement for running the procedure. 17. For big input… Whereas linear merge sort is not a possible variant as it is a comparison based sort and the minimum time complexity of any comparison based sort is O(n log n). If the current element (index in array ) is greater then the next element (index in ), we’ll swap them. So the time complexity in the best case would be . In this section, we’ll discuss the steps of bubble sort in detail. We’ll present the pseudocode of the algorithm and analyze its time complexity. When the input array is almost sorted and we need to swap just a few elements, then the bubble sort is a good option. Also, this can indicate whether the given array is already sorted or not during the iteration. In this tutorial, we’ll discuss the bubble sort algorithm. Practice these MCQ questions and answers for preparation of various competitive and entrance exams. The main disadvantage of bubble sort is time complexity. c) Quick Sort. Complexity and capacity (C) Time and space (D) Data and space. A. O(n) B. O(logn) C. O(n2) a), 5. c) 1 In this version, we compare all the pairs of elements for possible swapping. c) Resource allocation. (B) less than n. (C) less than m.(D) less than n/2. Performance Analysis: Time Complexity: Worst-case : O(n²)- Since we loop through n elements n times, n being the length of the array, the time complexity of Bubble sort becomes O(n²). Understanding Notations of Time Complexity with Example. The article Improving Bubble Sort, is dedicated to explain the mechanism behind bubble sort in detail, apart from that, it also offers an improved bubble sort. Ans. Given an array of size , the first iteration performs comparisons. Explanation: In-place, top down and bottom up merge sort are different variants of merge sort. Hence, the worst case time complexity of bubble sort is O(n x n) = O(n 2). In the worst case, the array is reversely sorted. a) O(nlogn) Instead, we’ll come out of the loop and the algorithm terminates. MCQ On Complexity Algorithms - Data Structure. Starting with the first element(index = 0), compare the current element with the next element of the array. As the elements are already sorted, only one comparison is made on each pass, so that the time required is O(n). All Rights Reserved. Much like a bubble sort. This test is Rated positive by 88% students preparing for Computer Science Engineering (CSE).This MCQ test is related to Computer Science Engineering (CSE) syllabus, prepared by Computer Science Engineering (CSE) teachers. RE: MCQs on Sorting with answers -Sushil Tiwari (03/17/17) Under the section of sorting question number 11 which is something like "Time complexity of bubble sort in best case is ?" ... Best case and worst case time complexity. Picking a first, last or random element as a pivot is not much effective. Also, it gives a good base for the other popular sorting algorithms. O(N^2) because it sorts only one item in each iteration and in each iteration it has to compare n-i elements. In addition, O(n) is the best time complexity, when the list has already been sorted. Time complexity of Bubble sort in Worst Case is O(N^2), which makes it quite inefficient for sorting large data volumes. Explanation: Optimised Bubble sort is one of the simplest sorting techniques and perhaps the only advantage it has over other techniques is that it can detect whether the input is already sorted. What is an external sorting algorithm? Now let’s talk about the best case and worst case in bubble sort. Then we check whether the next element (index in ) in the array is greater than the current element or not. View Answer, 8. Now let’s assume that the given input array is either nearly or already sorted. There is no need of swapping element and only one iteration is required. for temp variable. What is the average case complexity of bubble sort? Bubble Sort as the name suggests, bubbles up the heaviest (or may be lightest, depending on the comparison operator) elements to the top. 18.A sort which relatively passes through a list to exchange the first element with any elementless than it and then repeats with a new first element is called_____. First let’s see the pseudocode of the bubble sort algorithm: Let’s now discuss the steps and the notations used in this algorithm. © 2011-2021 Sanfoundry. The number of the required iterations is equal to the number of elements in the array. Select one: a. where n<=m, the. Best Case- In best case, the array is already sorted but still to check, bubble sort performs O(n) comparisons. The given array is arr = {1, 2, 4, 3}. We should note, however, that bubble sort can sort things both in ascending and descending order. (1/2)n(n-1) C. (1/4)n(n-1) D. None of the above. The average and worst-case time complexity of bubble sort is – O(n 2 ) Bubble sort, sometimes referred to as sinking sort, is a simple sorting algorithm that repeatedly steps through the list, compares adjacent elements and swaps them if they are in the wrong order. d) All of the above . Purpose of the article. a) It is faster How can you improve the best case efficiency in bubble sort? We’ve presented a standard version and an improved version of the bubble sort algorithm. O(n) O(log n) O(n2) O(n log n) Answer: Option C. Similar Questions : 1. Q.1 If h is any hashing function and is used to hash n keys in to a table of size m,. A directory of Objective Type Questions covering all the Computer Science subjects. What is the best case efficiency of bubble sort in the improvised version? d) O(n2) Here we’ll not continue the iterations anymore. What is the worst case complexity of bubble sort? As part of the maintenance work, you are entrusted with the work of rearranging the library books in a shelf in proper order, at the end of each day. Bubble sort is a very simple sorting algorithm to understand and implement. ; Time complexity of Bubble sort in Best Case is O(N). What is the max. In this set of Solved MCQ on Searching and Sorting Algorithms in Data Structure, you can find MCQs of the binary search algorithm, linear search algorithm, sorting algorithm, Complexity of linear search, merge sort and bubble sort and partition and exchange sort. We usually consider the worst case time complexity of an algorithm as it is the maximum time taken for any input size. You will find more sorting algorithms in this overview of all sorting algorithms and their characteristics in the first part of the article series. This is the first iteration. a) Floor address. In bubble sort, we compare the adjacent elements and put the smallest element before the largest element. B - graphs may have loops. c) Insertion Sort. ... D. Bubble. View Answer, 4. 1. The boolean variable is used to check whether the values are swapped at least once in the inner loop. A. Insertion sort B. As the elements are already sorted, only one comparison is made on each pass, so that the time required is O(n). What is Bubble Sort? Hence, the worst case time complexity of bubble sort is O(n x n) = O(n 2). d) Algorithm that are considered ‘in place’ Checksum, Complexity Classes & NP Complete Problems, here is complete set of 1000+ Multiple Choice Questions and Answers, Prev - Data Structure Questions and Answers – Selection Sort, Next - Merge Sort Multiple Choice Questions and Answers (MCQs), Data Structure Questions and Answers – Selection Sort, Merge Sort Multiple Choice Questions and Answers (MCQs), Java Programming Examples on Graph Problems & Algorithms, C++ Programming Examples on Graph Problems & Algorithms, C++ Algorithms, Problems & Programming Examples, C Programming Examples on Data-Structures, C++ Programming Examples on Data-Structures, Data Structures & Algorithms II – Questions and Answers, Java Programming Examples on Data-Structures, C++ Programming Examples on Combinatorial Problems & Algorithms, Java Programming Examples on Combinatorial Problems & Algorithms, C Programming Examples on Combinatorial Problems & Algorithms, Python Programming Examples on Searching and Sorting, C Programming Examples on Searching and Sorting. 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