Difference between insertion sort and bubble sort?

Answer 1

Bubble sort and insertion sort both have the same time complexity (and space complexity) in the best, worst, and average cases. However, these are purely theoretical comparisons. In practical real-world scenarios, insertion sort (or any other sort, for that matter) will almost always be the better choice over a bubble sort.

Answer 2

No, it can not. To find out why bubble sort is worse then quick sort we should look at the performance of both methods expressed in Big-O notation (time or special operations count that is needed to finish the job depending on number of items to process).

Quick sort:

Worst case: O(N2);

Average case: O(NLogN);

Best case: O(NLogN);

Bubble sort:

Worst case: O(N2);

Average case: O(N2);

Best case: O(N2);

As you can see they can perform equally in quick sort worst case. But other than that bubble sort is more performance costly and is not suggested to use working with big amounts of data. The worst quick sort scenario is then list is already sorted or nearly sorted. The issues was addressed by many methods how to to choose better middle/splitting value.

Quick sort is one of the fastest algorithms and is widely used.

Answer 3

Both bubblesort and selection sort work by moving the largest value in a set to the end of that set. The last element is then eliminated from the set and the process repeats until the set has only one element. At the point, the original set is sorted.

The only real difference between the two is the way in which they move the largest element to the end of the set.

A selection sort is more efficient in that it simply traverses the set to locate the largest element. It does this by assuming that the first element (index 0) is the largest and simply stores its index. It then compares that element with the remainder of the set, one element at a time, and when a larger element is found it replaces the stored index. Once the set is fully traversed, the stored index identifies the largest element in that set, and swaps it with the last element in the set. Thus on each pass, there is only 1 swap operation. For a set of n elements, there are n-1 comparison operations.

Bubblesort compares consecutive elements in pairs and swaps them if they are out of sequence. Thus for a set of n elements there are n-1 comparisons, the same as selection sort. However, there may be as many as n-1 swap operations if the largest element happens to be the first element. On average there will be n/2 swap operations.

Given that selection sort has only one swap per pass, it will perform better on average.

Answer 4

Shellsort (also known as Shell sort or Shell's method) is an in-place comparison based sorting algorithm. Shell Sort improves its time complexity by taking the advantage of the fact that using Insertion Sort on a partially sorted array results in less number of moves.

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Answer 5

Specifically, Insertion is faster than Bubble because of what occurs in each pass: Bubble Sort swaps through all remaining unsorted values, moving one to the bottom. Insertion Sort swaps a value up into already-sorted values, stopping at the right place.

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Answer 6

In Selection sort, a maximum of n moves are made, whereas in Bubble Sort, up to n moves are made for each element, so up to n^2 total moves are made. It's these moves that are memory-intensive so Selection sort becomes even more efficient than Bubble sort the larger the list is.

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Answer 7

what are the advantages of using shell sort over insertion sort

Answer 8

Dota 2

Answer 9

Yes