What is the complexity of Shell sort?

What is the complexity of Shell sort?

The space complexity of the shell sort algorithm is O(1).

What is best-case complexity of Shell sort?

nShellsort / Best complexity
Shell sort is a comparison-based sorting. The time complexity of Shell Sort depends on the gap sequence. Its best-case time complexity is O(n* logn) and the worst case is O(n* log2n).

How time complexity improves Shell sort?

Sorting Algorithms shell sort 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.

What is the best time complexity of bucket sort?

O(n + k)
The complexity of the Bucket Sort Technique Time Complexity: O(n + k) for best case and average case and O(n^2) for the worst case.

What is the worst-case complexity for Shell sort?

Depends on gap sequenceShellsort / Worst complexity

Which sorting algorithm has best complexity?

Answer: Insertion Sort and Heap Sort has the best asymptotic runtime complexity. Explanation: It is because their best case run time complexity is – O(n).

What is the best and worst complexity of heap sort?

As a summary, heapsort has: Worst case time complexity of O(n(log(n)) [all elements in the list are distinct] Best case time complexity of O(n) [all elements are same] Average case time complexity of O(n(log(n))

What is the time complexity of Shell sort?

Time complexity of Shell Sort depends on gap sequence . Its best case time complexity is O(n* logn) and worst case is O(n* log 2 n). Time complexity of Shell sort is generally assumed to be near to O(n) and less than O(n 2) as determining its time complexity is still an open problem.

What is Shell sort algorithm?

It is an in–place comparison sort. Shell Sort is also known as diminishing increment sort, it is one of the oldest sorting algorithms invented by Donald L. Shell (1959.) This algorithm uses insertion sort on the large interval of elements to sort. Then the interval of sorting keeps on decreasing in a sequence until the interval reaches 1.

What are the disadvantages of Shell sort?

Shell Sort is unstable sort as relative order of elements with equal values may change. It is been observed that shell sort is 5 times faster than bubble sort and twice faster than insertion sort its closest competitor. There are various increment sequences or gap sequences in shell sort which produce various complexity between O (n) and O (n 2).

What is the worst-case and best-case for a shell sort implementation?

The worst-case of your implementation is Θ (n^2) and the best-case is O (nlogn) which is reasonable for shell-sort. The best-case is when the array is already sorted. The would mean that the inner if statement will never be true, making the inner while loop a constant time operation.