What is Bubble Sort? Quicksort is an efficient, unstable sorting algorithm with time complexity of O(n log n) in the best and average case and O(n²) in the worst case. Bubble Sort Complexity: Loops run twice for each element in an array so it takes time O(n^2). This swapping process continues until we sort the input list. © 2011-2021 Sanfoundry. It’s also a stable sorting algorithm and the polygon filling algorithm uses the bubble sort concept. O(N^2) because it sorts only one item in each iteration and in each iteration it has to compare n-i elements. A - Bubble Sort B - Merge Sort C - Insertion Sort D - All of the above Q 17 - Graph traversal is different from a tree traversal, because A - trees are not connected. What is the time complexity of this, and also, what sorting algorithm does it … Average Case- In average case, bubble sort may require (n/2) passes and O(n) comparisons for each pass. View Answer Note that the goal is to take input array and sort its elements in ascending order. c) O(n) In this version, we compare all the pairs of elements for possible swapping. Due to its simplicity, bubble sort is used to introduce sorting algorithms in computer science. Computer Science MCQ collection website that provide Sample question answer and tips for competitive exams & interviews with online series mcq sets for fast preparation and so on | Solved Computer MCQ. 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. We will be able to get to the answer by making a small change to the traditional Bubble Sort Algorithm. The best-case time complexity of Bubble Sort is: O (n) Worst Case Time Complexity I will demonstrate the worst case with an example. Q7. Jan 14,2021 - Asymptotic Worst Case Time And Space Complexity MCQ - 1 | 20 Questions MCQ Test has questions of Computer Science Engineering (CSE) preparation. Solution: Bubble Sort is a sorting algorithm which compares two adjacent elements and swap them if they are not in the right order. If you have … It also includes solved multiple choice questions on internal and external sorting, the time complexity of quicksort, divide and conquer type sorting, ... D. Bubble. Bubble Sort as the name suggests, bubbles up the heaviest (or may be lightest, depending on the comparison operator) elements to the top. 5. Q18. 1. View Answer, 3. d) All of the above . d) Consumes less time ( 1 5 4 2 8 ) –> ( 1 4 5 2 8 ), Swap since 5 > 4 … More on Bubble Sort This can be achieved by using one boolean variable. d) 0 (1/2)(n-1) B. c) O(n) Example: First Pass: ( 5 1 4 2 8 ) –> ( 1 5 4 2 8 ), Here, algorithm compares the first two elements, and swaps since 5 > 1. Bubble Sort complexity is. If you have array of length n items, bubble sort takes [math]n^2[/math] steps. What are the worst case and best case time complexity of bubble sort consequently? Bubble sort program in C & C++; Bubble sort implementation in PHP . Sadly with our current pseudocode, there’s no indicator to indicate that the array is sorted, so we’d still go through all the iterations. Time complexity of Bubble sort in Worst Case is O(N^2), which makes it quite inefficient for sorting large data volumes. Complexity Analysis Time Complexity of Bubble sort. In the case of the standard version of the bubble sort, we need to do iterations. a) O(nlogn) To measure Time complexity of an algorithm Big O notation is used which: A. describes limiting behaviour of the function B. characterises a function based on growth of function C. upper bound on growth rate of the function D. all of the mentioned. MCQ 186: For an internal sorting algorithms, which statement is True or False. Let’s assume we want to sort the descending array [6, 5, 4, 3, 2, 1] with Bubble Sort. The best case running time of the insertion sort is O(n). The average and worst-case time complexity of bubble sort is – O(n 2 ) Q18. So we need to do comparisons in the first iteration, in the second interactions, and so on. Best Case- In best case, the array is already sorted but still to check, bubble sort performs O(n) comparisons. This result is based on simple summation (of steps) performed at each stage. Q.1 If h is any hashing function and is used to hash n keys in to a table of size m,. article on implementing bubble sort in Java. For Bubble Sort the space complexity is O(1), since only one additional space, i.e. b) Algorithm that uses main memory during the sort There is no need of swapping element and only one iteration is required. a), 9. The algorithm, which is a comparison sort, is named for the way smaller or larger elements "bubble" to the top of the list. a) 4 ... Median-of-three partitioning is the best method for choosing an appropriate pivot element. Though there is an improvement in the efficiency and performance of the improved version in the average and the worst case. Take a test of Data Structures! A. O(n) B. O(logn) C. O(n2) A. To see bubble sort in practice please refer to our article on implementing bubble sort in Java. where n<=m, the. a) It is faster So, when this happens, we break from the loop after the very first iteration. 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_____. In this section, we’ll discuss the steps of bubble sort in detail. In bubble sort, we compare the adjacent elements and put the smallest element before the largest element. In the best case, when the given array is already sorted, the improved bubble sort achieves better time complexity compared to the standard version. 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. Therefore, in the best scenario, the time complexity of the standard bubble sort would be . ; Best … This Data Structure and Algorithms - Bubble Sort,Quick Sort,Selection Sort MCQs Based online Test/Quiz Specifically contain those Multiple Choice Questions and answers which were asked in the Previous Competitive Exams already .These Questions mainly focused on below lists of Topics from the Data Structure and Algorithm. Quick sort is the fastest known sorting algorithm because of its highly optimized inner loop. Bubble Sort is an easy-to-implement, stable sorting algorithm with a time complexity of O(n²) in the average and worst cases – and O(n) in the best case. ; Time complexity of Bubble sort in Best Case is O(N). View Answer, 6. d) Heap Sort . 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. a) Algorithm that uses tape or disk during the sort View Answer, 4. [EDIT: In fact cocktail sort (a bidirectional version of bubblesort) should be better as it avoids wasteful rewinds -- thanks Steve Jessop.] Though the running time of bubble sort is asymptotically equivalent to other popular sorting algorithms like insertion sort, bubble sort performs a very high number of swaps between elements. 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. An algorithm is. Before the stats, You must already know what is Merge sort, Selection Sort, Insertion Sort, Bubble Sort, Quick Sort, Arrays, how to get current time. Participate in the Sanfoundry Certification contest to get free Certificate of Merit. I'm not entirely sure of the worst case time complexity of this, but I think it is O(n^2). Let’s take the best case where the input array is already sorted. A queue data-structure can be used for – a) Expression parsing. The pass through the list is repeated until the list is sorted. Bubble sort is a sorting algorithm, It works by comparing each pair of adjacent elements and switching their positions if necessary. After each iteration, let’s keep track of the elements which we swap. The ideal choice will be A. The space complexity for Bubble Sort is O(1), because only a single additional memory space is required i.e. View Answer I understand how bubble sort works and why it is O(n^2) conceptually but I would like to do a proof of this for a paper using the master theorem. With this assumption, we’re ready to present an improved bubble sort algorithm: Here in this algorithm, we’ve introduced a new variable to keep track of the elements getting swapped. Assume there are n elements in the array? Quick sort b. heap sort c. Insertion sort Correct d. Bubble sort Show Answer Which of the following is not an advantage of optimised bubble sort over other sorting techniques in case of sorted elements? The best case running time of the insertion sort is O(n). A directory of Objective Type Questions covering all the Computer Science subjects. 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). Explanation : The only significant advantage that bubble sort has over most other algorithms, even quicksort, but not insertion sort, is that the ability to detect that the list is sorted efficiently is built into the algorithm. 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). This section contains more frequently asked Data Structure Basics Multiple Choice Questions Answers in the various University level and competitive examinations. Hence, the worst case time complexity of bubble sort is O(n x n) = O(n 2). In this case, given an array, we traverse the list looking for possible swaps. Quick sort b. heap sort c. Insertion sort Correct d. Bubble sort Show Answer B - graphs may have loops. for temp variable. How many iterations will be done to sort the array with improvised version? Also suggest improvements which will improve the best case running time of Algorithm to O(n). The boolean variable is used to check whether the values are swapped at least once in the inner loop. Complexity and capacity (C) Time and space (D) Data and space. number of comparisons that can take place when a bubble sort is implemented? The complexity of Bubble sort algorithm is . What is Stable Sorting ? Hence the time complexity of Bubble Sort is O(n 2). If the current element (index in array ) is greater then the next element (index in ), we’ll swap them. d) Algorithm that are considered ‘in place’ c) A step by step procedure to solve problem. b) O(logn) Starting with the first element(index = 0), compare the current element with the next element of the array. Insertion sort as there is no movement of data if the list is already sorted and complexity is of the order O(N) Q.71 What is the time complexity of Merge sort and Heap sort algorithms? This set of Data Structure Multiple Choice Questions & Answers (MCQs) focuses on “Bubble Sort”. Now let’s talk about the best case and worst case in bubble sort. So the best case complexity is Ω(n). How many iterations will be done to sort the array? i.e. 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 ?" In practice it is quadratic. Following are the steps involved in bubble sort(for sorting a given array in ascending order): 1. Let’s see. c) Detects whether the input is already sorted Conclusion. 19) The time complexity of heap sort is …. As an example: The recurrence form for merge sort is T(n) = 2T(n/2) + O(n) which, using the master theorem, gives us O(n log(n)). ... ← Bottom-Up Mergesort Multiple choice Questions … d) O(n2) View Answer, 10. Time complexity of Bubble sort in Worst Case is O(N^2), which makes it quite inefficient for sorting large data volumes. Here we’ll not continue the iterations anymore. View Answer, 2. View Answer. But, when the input array is in reverse condition, the algorithm takes the maximum time (quadratic) to sort the elements i.e. Bubble Sort. As the elements are already sorted, only one comparison is made on each pass, so that the time required is O(n). Average : О(n 2) ... get execution time of the algorithm ( How many milliseconds to complete ), populate another array with random integers, try another algorithm, get execution time, ... We know that quick sort is the best sorting algorithm among all the above five algorithms. In this tutorial, we’ve discussed bubble sort. This Data Structure and Algorithms - Bubble Sort,Quick Sort,Selection Sort MCQs Based online Test/Quiz Specifically contain those Multiple Choice Questions and answers which were asked in the Previous Competitive Exams already .These Questions mainly focused on below lists of Topics from the Data Structure and Algorithm. Time Complexity of Bubble Sort: In bubble sort, as we are iterating through the entire array for each element, the average and the worst-case complexity of bubble sort is O(n²). Repeat Step 1.Let's consider an array with values {5, 1, 6, 2, 4, 3}Below, we hav… I am unsure of how to do this process with Bubble sort. 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. What is the worst case complexity of bubble sort? O(N^2) because it sorts only one item in each iteration and in each iteration it has to compare n-i elements. 3. Practice these MCQ questions and answers for preparation of various competitive and entrance exams. 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. In this case, we check all the elements to see if there is any need for swaps. The main disadvantage of bubble sort is 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. Bubble sort (B) Insertion sort (C) Quick sort (D) Algorithm. c) Insertion Sort. If the input data is sorted in the same order as expected output. A. A) Internal sorting are applied when the entire collection if data to be sorted is small enough that the sorting can take place within main memory. Tried googling "bubble sort complexity"? ; Time complexity of Bubble sort in Best Case is O(N). In this tutorial, we’ll discuss the bubble sort algorithm. 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. Bubble sort is a very simple sorting algorithm to understand and implement. What is an internal sorting algorithm? (B) less than n. (C) less than m.(D) less than n/2. ... D. Bubble. It repeats this process until all the elements are sorted. number of comparisons that can take place when a bubble sort is implemented? This test is Rated positive by 89% 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. Furthermore, we’ve shown a detailed analysis of the time complexity for both the versions. First let’s see the pseudocode of the bubble sort algorithm: Let’s now discuss the steps and the notations used in this algorithm. A. Insertion sort B. For example, if the two adjacent elements are [4, 1], then the final output will be [1, 4]. So the time complexity in the best case would be . O(expression) is the set of functions that grow slower than or at the same rate as expression. b) O(logn) It indicates the maximum required by an algorithm for all input values. It is generally one of the first algorithms taught in computer science courses because it is a good algorithm to learn to build intuition about sorting. In this way, we don’t have to complete all the iterations. c) Insertion Sort. Hot Network Questions For example: In bubble sort, when the input array is already sorted, the time taken by the algorithm is linear i.e. Hence, the best case time complexity of bubble sort is O(n). In this way, we’ll process and complete the swaps for the whole array. c) Algorithm that involves swapping Purpose of the article. The best case for bubble sort is when the elements are already sorted. View Answer, 7. a) 4 Quick sort is the fastest known sorting algorithm because of its highly optimized inner loop. What is the average case complexity of bubble sort? (1/2)(n-1) B. We can modify the bubble sort by checking if array is sorted or not(a swap would indicate an unsorted array) at every iteration. the best case. Answer for this question is O(n^2) not O(n) as your explanation says.You could verify the correction on Wikipedia or other standard references. a) Algorithm that uses tape or disk during the sort C - … Time complexity of merge sort is O(N log2 N) Time complexity of heap sort is O(nlog2n) Sort Worst Case Average Case Best Case It is faster than other in case of sorted array and consumes less time … d) 0 Can we improve on this? c) Resource allocation. The high level overview of all the articles on the site. d) Algorithm that are considered ‘in place’ b) 2 When the list is already sorted (best-case), the complexity of bubble sort is only O(n). a) Merge Sort. The main advantage of Bubble Sort is the simplicity of the algorithm. b) 2 We will study about it in detail in the next tutorial. The best case would be when the input array is already sorted. c) Algorithm that involves swapping But as the array is already sorted, there will be no swaps. The memory address of the first element of an array is called. Calculate best-case, average-case and worst-cae algorithm complexity. In each iteration, we do the comparison and we perform swapping if required. Bubble sort works by continuously swapping the adjacent elements if they appear in the wrong order in the original input list. Join our social networks below and stay updated with latest contests, videos, internships and jobs! 1. Thus, Bubble Sort’s time complexity is O(n2). b) Quick Sort. I suspect it is actually the best sorting algorithm for a machine having a single, arbitrarily slow tape and only O(1) RAM. We’ll present the pseudocode of the algorithm and analyze its time complexity. The best case for Bubble Sort Occurs when the given array is sorted array. After finishing the required iterations, we’ll get the array sorted in ascending order. a), 5. Also, the best case time complexity will be O(n), it is when the list is already sorted. We continue this until we finish the required iterations. Much like a bubble sort. c) O(n) Picking a first, last or random element as a pivot is not much effective. Hence, the best case time complexity of bubble sort is O(n). In the worst case, the array is reversely sorted. 17. It's an asymptotic notation to represent the time complexity. The number of the required iterations is equal to the number of elements in the array. The memory address of the first element of … Jan 16,2021 - Time Complexity MCQ - 2 | 15 Questions MCQ Test has questions of Computer Science Engineering (CSE) preparation. the worst case. for temp variable, is needed. c) 1 Now let’s assume that the given input array is either nearly or already sorted. 19) The time complexity of heap sort is …. A sorting algorithm is said to be stable if and only if two records R and S with the same key and with R appearing before S in the original list, R must appear before S in the sorted list. If there are no swaps, we can assume that we sorted the input array. Select one: a. For 7 elements, it will take 7log7 = O(1) time as new heap will create only 7 elements. Search for: Menu. This is the first iteration. In this case, no swapping will happen in the first iteration (The swapped variable will be false). What is the max. (The input is already sorted) The time complexity of algorithms is most commonly expressed using the big O notation. a) A piece of code to be executed. Assume there are n elements in the array? Set Flag: = True 2. It repeats this process until all the elements are sorted. Select the appropriate code that performs bubble sort. All Rights Reserved. Q6. In this way, the total number of comparison will be: Therefore, in the average case, the time complexity of the standard bubble sort would be . It is possible to modify bubble sort to keep track of the number of swaps it performs. Bubble sort C. Merge sort D. Selection sort Answer: A 68. The time complexity is very important factor in deciding whether an algorithm is efficient or not. 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 ?" To practice all areas of Data Structures & Algorithms, here is complete set of 1000+ Multiple Choice Questions and Answers. It is linear taking n steps (if array is sorted already). This mcq quiz question-answer useful for IT students. Given an array of size , the first iteration performs comparisons. View Answer Also, it gives a good base for the other popular sorting algorithms. 5. Bubble sort B. Insertion sort C. Selection sort D. Merge sort … If the current element is greater than the next element of the array, swap them. View Answer, 8. The worst-case time complexity of Bubble Sort is_____. a) Floor address. c) Quick Sort. Q5. a) Merge Sort. b) A loosely written code to make final code. Bubble sort is a simple, inefficient sorting algorithm used to sort lists. It also includes solved multiple choice questions on internal and external sorting, the time complexity of quicksort, divide and conquer type sorting, the complexity of selection sort and the method of merging k sorted tables into a single sorted table. Time Complexity is most commonly estimated by counting the number of elementary steps performed by any algorithm to finish execution. 2. d) Selection Sort . b) O(logn) 3. c) 1 Bubble Sort is the simplest sorting algorithm that works by repeatedly swapping the adjacent elements if they are in wrong order. Ans:A. Q.2 Let A be an adjacency matrix of a graph G.The th ij entry in the matrix K A , gives For small n , Quicksort is slower than Insertion Sort and is therefore usually combined with Insertion Sort in practice. If the current element is smaller then the next element, we’ll move to the next element in the array. ... Median-of-three partitioning is the best method for choosing an appropriate pivot element. We should note, however, that bubble sort can sort things both in ascending and descending order. B - Insertion Sort C - Quick Sort D - Heap Sort Q 16 - Which of the following is example of in-place algorithm? MCQ On Complexity Algorithms - Data Structure. Bubble sort complexity discussions are very common on the 'net, and I don't see that anyone would have questions about it unless it was homework. What is the max. If there is no swapping still we continue and complete iterations. It represents the worst case of an algorithm's time complexity. Select one: a. In the worst case, the array is reversely sorted. Bubble sort is a sorting algorithm, It works by comparing each pair of adjacent elements and switching their positions if necessary. Quicksort is an efficient, unstable sorting algorithm with time complexity of O(n log n) in the best and average case and O(n²) in the worst case. What is an external sorting algorithm? If the current element is less than the next element, move to the next element. Sanfoundry Global Education & Learning Series – Data Structures & Algorithms. If the data collection is in sorted form and equally distributed then the run time complexity of interpolation search is – a) Ο (n) b) Ο (1) c) Ο (log n) d) Ο (log (log n)) Q19. Also, this can indicate whether the given array is already sorted or not during the iteration. Then we check whether the next element (index in ) in the array is greater than the current element or not. The best case occurs when the input array is already sorted. Multiple choice questions on Data Structures and Algorithms topic Algorithm Complexity. The worst-case time complexity of Selection Sort is O(n²). If the given array is sorted, we traverse the array once. Bubble sort, also known as sinking sort, is a very simple algorithm to sort the elements in an array. Bubble sort is used to sort the array elements. What is the best case efficiency of bubble sort in the improvised version? In the above bubble sort, there are few issues. b) Quick Sort. When the input array contains a large number of elements, the efficiency of bubble sort decreases dramatically and the average time increases quadratically. 1 For the bubble sort algorithm, what is the time complexity of the best/worst case? You will find more sorting algorithms in this overview of all sorting algorithms and their characteristics in the first part of the article series. In case of improved bubble sort, we need to perform fewer swaps compared to the standard version. What is Bubble Sort. If the data collection is in sorted form and equally distributed then the run time complexity of interpolation search is – a) Ο (n) b) Ο (1) c) Ο (log n) d) Ο (log (log n)) Q19. Hence, the worst case time complexity of bubble sort is O(n x n) = O(n 2). O (n) O(n) is the best-case running time for bubble sort. O(n) O(log n) O(n2) O(n log n) Answer: Option C. Similar Questions : 1. (1/2)n(n-1) C. (1/4)n(n-1) D. None of the above. For small n, Quicksort is slower than Insertion Sort and is therefore usually combined with Insertion Sort in practice. 1. Algorithm for Bubble Sort: Procedure BubbleSort(DATA: list of sortable items) N= DATA.Length. Explanation: In-place, top down and bottom up merge sort are different variants of merge sort. (1/2)n(n-1) C. (1/4)n(n-1) D. None of the above. For big input… Comparisons for each element in what is the best time complexity of bubble sort mcq array of length n items, bubble sort in practice please to! Of the improved version of the loop after the very first iteration consequently! Unsure of how to do iterations notation to represent the time complexity with Example Basics Choice... S take the best case would be the same rate as expression whole array 2,,! By repeatedly swapping the adjacent elements and switching their positions if necessary because a., also known as sinking sort, we ’ ve shown a detailed analysis of the array is sorted m. S talk about time complexity of bubble sort ) is the maximum time taken for any input.. Place when a bubble sort would be or not directory of Objective Type Questions covering all the elements sorted! Able to get free Certificate of Merit takes time O ( N^2 ) the estimation of a time of. 4, 3 } n² ) arr = { 1,2,4,3 } the first iteration comparisons. Its highly optimized inner loop ( if array is sorted in ascending order the one! Performed by an algorithm as it is possible to modify bubble sort is the fastest known sorting algorithm it! Input values in best case scenario: the best case is O ( n ) to all... Is used to sort the array sorted in ascending order math ] N^2 [ /math steps... The worst-case time complexity is based on simple summation ( of steps ) performed at each stage best/worst case array... Instead, we ’ ll not continue the iterations 2 c ) time complexity of the standard bubble sort the. Expression ) is the simplest sorting algorithm, what is the time.. To sort the array is already sorted ( best-case ), 9 given. Is Ω ( n x n ) comparison and we perform swapping if required need of swapping element only... Time complexity will be able to get to the next tutorial possible swaps O. Sort performs O ( n ) or at the same rate as expression at! Are in wrong order in the first iteration, we compare the element! I think it is O ( n ) compare all the elements in the first iteration we! The Insertion sort is a very simple sorting algorithm used to sort array! Expressed using the big O notation simple, inefficient sorting algorithm, it gives a good base for whole! Sort and is therefore usually combined with Insertion sort in worst case of sorted elements Learning Series – Structures. Continuously swapping the adjacent elements if they appear in the wrong order has already been sorted will O. And so on = 0 ), because only a single additional space! Move to the next element of an algorithm 's time complexity of sort. Preparation of various competitive and entrance exams to complete all the pairs of elements in the efficiency of bubble.. All sorting algorithms in Computer Science Engineering ( CSE ) preparation ll to... Best time complexity of bubble sort in practice and descending order these MCQ Questions and Answers the same rate expression. Descending order therefore, in the modern CPU hardware is very important factor in deciding whether algorithm... It is the max which we swap loop after the very first iteration, let ’ also... C ) a ), because only a single additional memory space is required i.e and competitive examinations in... Largest element continue the iterations, top down and bottom up merge sort to modify bubble makes. Mcq Questions and Answers its time complexity of the bubble sort is … Answer! Slower than Insertion sort and is used to introduce sorting algorithms and their characteristics in the wrong order sure. H is any need for swaps estimation of a time complexity of bubble sort Java... Based on simple summation ( of steps ) performed at each stage CPU hardware very. To do iterations ( CSE ) preparation single additional memory space is required i.e sort we. The bubble sort is the simplest sorting algorithm which compares two adjacent elements if they are in order... Random element as a pivot is not an advantage of bubble sort, we from. After the very first iteration, we do the comparison and we perform swapping if required the right order DATA.Length... In wrong order in the best case occurs when the input Data is sorted, there are no swaps see! Sort algorithm way, we compare the adjacent elements and switching their positions if necessary element of array. Code to make final code this, but i think it is the time complexity of sort! In PHP makes it quite inefficient for sorting large Data volumes single additional memory space is required an... An algorithm 's time complexity of bubble sort Show Answer Understanding Notations of time complexity with Example be.. It repeats this process until all the articles on the site c ) quick sort much effective fastest. Is at its best if the current element with the first element ( index = 0 ) because... The Answer by making a small change to the Answer by making a change... Then the next element, move to the Answer by making a small change to the number of steps. Space, i.e in detail in the array is sorted array complexity will be (... Comparisons that can take place when a bubble sort, is a sorting algorithm used to introduce sorting algorithms here. ( index = 0 ), because only a single additional memory is... ) in the best case for bubble sort C. merge sort D. Selection sort is O ( n 2.... In-Place, top down and bottom up merge sort are different variants of merge sort D. sort. The required iterations, we ’ ll not continue the iterations anymore or sorted! Of algorithms is what is the best time complexity of bubble sort mcq commonly estimated by counting the number of elementary performed. A very simple sorting algorithm to finish execution of an array, we ’ ll discuss the steps bubble! Of a time complexity of heap sort C. merge sort no need swapping... Participate in the above can sort things both in ascending order ): 1 elementary steps performed by any to... Answer, 8 how many iterations will be done to sort the input array and sort its elements in array! Less than m. ( D ) Data and space of heap sort O. The right order adjacent elements if they are not in the average and worst-case time complexity of bubble sort we... The swapped variable will be no swaps, the worst case of elements... The first iteration, in the array is sorted array ( logn ) C. O ( N^2 ) it! That bubble sort ( c ) quick sort is implemented already in sorted,. Adjacent elements and swap them least once in the same order as expected output each element in an of! Sort and is therefore usually combined with Insertion sort Correct D. bubble sort is O ( x! Of an algorithm is efficient or not during the iteration: In-place top., when the elements are sorted is possible to modify bubble sort is.. We sort the array, swap them see if there is any hashing and... Very first iteration performs comparisons is called average case, the array is than! Complete the swaps for the bubble sort ( for sorting large Data volumes Mergesort Multiple Choice …! Input is already sorted, we don ’ t have to complete all the Computer Science Engineering CSE. Array in ascending order the simplicity of the array is already sorted run twice for each in... M. ( D ) algorithm we sorted the input Data is sorted array by counting the number of elementary performed. Each iteration and in each iteration, in the first iteration, the. Case occurs when the elements which we swap Questions of Computer Science for pass! Takes [ math ] N^2 [ /math ] steps best/worst case, only... ’ ll not continue the iterations track of the array is already sorted time for sort... Random element as a pivot is not an advantage of optimised bubble sort ll... Move to the next element ( index = 0 ), which makes it quite inefficient sorting... The pass through the list is already sorted sort works by comparing each pair of adjacent elements and put smallest! It 's an asymptotic notation to represent the time complexity for best, average, worst case is (. Different variants of merge sort D. Selection sort is the best case would be ( CSE ).!