How many number of comparisons are required in insertion sort to sort a file in the file is sorted in reverse order?

How many number of comparisons are required in insertion sort to sort a file in the file is sorted in reverse order?

Part (a) of Figure 5.15 shows that 10 comparisons are required to sort the five items when they are originally arranged in reverse sorted order.

How many comparisons are there in selection sort?

In general, the average number of comparisons per pass in selection sort will always be one half of the number of items to be sorted. For eight items, we have 1/2(82 + 8) = 1/2(64 + 8) = 1/2(72) = 36 comparisons.

How many comparisons are required to sort 5 elements using any comparison based algorithm?

The least number of comparisons needed to sort (order) five elements is 8.

What is the number of comparisons for sorting algorithms?

Number of comparisons for sorting algorithms Insertion Sort: Θ(n2) worst case O(kn) if ≤k items out of order Mergesort: Θ(nlgn) worst case Heapsort: Θ(nlgn) worst case Quicksort: Θ(n2) worst case Θ(nlgn) average case Lower Bound: Ω(nlgn) worst case and average case Four ways to apply recursion to sorting

Is it possible to have both B and a in a comparison sort?

It is possible that both a ≤ b and b ≤ a; in this case either may come first in the sorted list. In a stable sort, the input order determines the sorted order in this case. A metaphor for thinking about comparison sorts is that someone has a set of unlabelled weights and a balance scale.

When is a sorting algorithm stable or unstable?

Or we can say, a sorting algorithm sorts in-place if only a constant number of elements of the input array are ever stored outside the array. A sorting algorithm is stable if it does not change the order of elements with the same value.

What is the number of comparisons in merge sort?

By looking at the results, you can see that the number of comparisons are more than n and less than 2n. Wiki Suggests : In the worst case, merge sort does an amount of comparisons equal to or slightly smaller than (n ⌈lg n⌉ – 2⌈lg n⌉ + 1), which is between (n lg n – n + 1) and (n lg n + n + O (lg n)). [1] –