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

Sequential files, Data records are stored in some particular sequence e.g.,...

Data records are stored in some particular sequence e.g., order of arrival value of key field etc. Records of sequential file cannot be randomly accessed i.e., to access the n th

Write a program to create a hashed file, Write a program to create a hashed...

Write a program to create a hashed file that stores the records currently in the file " data_2013 ". Records should use the same fixed-length schema given previously, and should ag

Definition of algorithm, Definition of Algorithm Algorithm must have th...

Definition of Algorithm Algorithm must have the following five characteristic features: 1.      Input 2.      Output 3.      Definiteness 4.      Effectiveness 5

Define container in terms of object-oriented terms, Define container in te...

Define container in terms of  object-oriented terms A Container is a broad category whose instances are all more specific things; there is never anything which is just a Contai

Algorithm for inorder traversals, Step-1: For the current node, verify whet...

Step-1: For the current node, verify whether it contain a left child. If it has, then go to step-2 or else go to step-3 Step-2: Repeat step-1 for left child Step-3: Visit (th

Graph traversal schemes, Q. Explain various graph traversal schemes and wri...

Q. Explain various graph traversal schemes and write their advantages and disadvantages. A n s . Graph Traversal Scheme is explained below In many troubles we wish

Convert a binary tree into its mirror image by traversing it, One can chang...

One can change a binary tree into its mirror image by traversing it in Postorder is the only proecess whcih can convert binary tree into its mirror image.

Order of efficiency - linear search, Linear search employee an exhaustive m...

Linear search employee an exhaustive method of verified each element in the array against a key value. Whereas a match is found, the search halts. Will sorting the array before uti

Hashing and collisions during hashing, Q. What do you understand by the te...

Q. What do you understand by the term Hashing?  How do the collisions occur during hashing?  Explain the different techniques or methods for resolving the collision.

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