Comparisions and assignments in worst case, Data Structure & Algorithms

Assignment Help:

Q. Calculate that how many key comparisons and assignments an insertion sort makes in its worst case?       

Ans:

The worst case performance occurs in insertion sort occurs when the elements of the input array are in descending order. In that case, the first pass requires one comparison, the second pass requires two comparisons, third pass three comparisons till the kth pass requires (k-1), and in the end the last pass requires (n-1) comparisons. Therefore,  we obtain the total numbers of comparisons as follows :

f(n)    = 1+2+3+.........+(n-k)+.....+(n-2)+(n-1)

= n(n-1)/2

= O(n2)


 

 

 


Related Discussions:- Comparisions and assignments in worst case

Explain about franklin algorithm, Explain about Franklin Algorithm We m...

Explain about Franklin Algorithm We mentioned how the number of possible comparisons of polygons grows as the square of the number of polygons in the scene. Many of the hidden-

Algorithm for dfs, Step 1: Choose a vertex in the graph and make it the sou...

Step 1: Choose a vertex in the graph and make it the source vertex & mark it visited. Step 2: Determine a vertex which is adjacent to the source vertex and begun a new search if

Define abstract data type & column major ordering for arrays, Q1. Define th...

Q1. Define the following terms: (i) Abstract data type. (ii) Column major ordering for arrays. (iii)  Row major ordering for arrays. Q2. Explain the following: (i) A

Push and pop operations, Q. Explain that how do we implement two stacks in ...

Q. Explain that how do we implement two stacks in one array A[1..n] in such a way that neither the stack overflows unless the total number of elements in both stacks together is n.

Illustrate hls colour model, HLS Colour Model  This model has the doub...

HLS Colour Model  This model has the double-cone representation shown in Figure 3.40. The three colour parameters in this model are called hue (H), lightness (L), and Saturati

Sparse matrix, Q. Define a sparse matrix. Explain different types of sparse...

Q. Define a sparse matrix. Explain different types of sparse matrices? Show how a triangular array is stored in memory. Evaluate the method to calculate address of any element ajk

How can a lock object be called in the transaction, How can a lock object b...

How can a lock object be called in the transaction? By calling Enqueue and Dequeue in the transaction.

Representation of max-heap sequentially, Q. How do we represent a max-heap ...

Q. How do we represent a max-heap sequentially? Explain by taking a valid   example.         Ans: A max heap is also called as a descending heap, of size n is an almos

Preorder - postorder and inorder, 1) preorder, postorder and inorder 2) ...

1) preorder, postorder and inorder 2) The main feature of a Binary Search Tree is that all of the elements whose values is less than the root reside into the nodes of left subtr

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd