How shell sort works with example?

How shell sort works with example?

Shell sort is a special case of insertion sort. It was designed to overcome the drawbacks of insertion sort. Thus, it is more efficient than insertion sort….Complexity of Shell Sort.

Scenario Time complexity
Worst case O(n2)
Average case θ(n log(n)2)
Best case Ω(n log(n))

What is meant by shell sort?

Shell sort is a highly efficient sorting algorithm and is based on insertion sort algorithm. This algorithm avoids large shifts as in case of insertion sort, if the smaller value is to the far right and has to be moved to the far left.

Why would you use Shell sort?

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.

How fast is shell sort?

Shell sort: 0.250s. Merge sort: 0.435s. Heap sort: 0.473s.

What are the benefits of Shell sort?

Advantages – Shell Sort

  • Shell sort algorithm is only efficient for finite number of elements in an array.
  • Shell sort algorithm is 5.32 x faster than bubble sort algorithm.

Why Shell sort is used?

Why is Shell sort better?

The logic of shell sort is to sort entries that are further away first. Given a partially sorted list you can in theory sort a lot faster than O(n^2). Also given a large unsorted array the probability that your final sorted position being far from your current position is high.

When should we use Shell sort?

Shell sort is efficient for medium-sized data sets. In insertion sort, at a time, elements can be moved ahead by one position only. To move an element to a far-away position, many movements are required that increase the algorithm’s execution time.

Is Shell sort stable?

NoShellsort / Stable