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

Complexity of an algorithm, An algorithm is a sequence of steps to solve a ...

An algorithm is a sequence of steps to solve a problem; there may be more than one algorithm to solve a problem. The choice of a particular algorithm depends upon following cons

Multikey file organization, what are the applications of multikey file orga...

what are the applications of multikey file organization?

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.

Implementation of tree, The most common way to insert nodes to a general tr...

The most common way to insert nodes to a general tree is to first discover the desired parent of the node you desire to insert, and then insert the node to the parent's child list.

Programs, Develop a program that accepts the car registration( hint: LEA 43...

Develop a program that accepts the car registration( hint: LEA 43242010)

Train reorganising, A freight train from Melbourne is approaching Sydney, c...

A freight train from Melbourne is approaching Sydney, carrying n cars of cargos. The cargos are to be delivered to n different cities in the metropolitan area of Sydney - one car f

Determine the components of illumination, Determine the Components of Illum...

Determine the Components of Illumination The light reaching the eye when looking at a surface has clearly come from a source (or sources) of illumination and bounced off the su

What are the specific needs for realism, Normal 0 false false...

Normal 0 false false false EN-IN X-NONE X-NONE MicrosoftInternetExplorer4

Mapping constain, one to many one to one many to many many to one

one to many one to one many to many many to one

Homework, Write a recursive function the computes the number of digits in a...

Write a recursive function the computes the number of digits in a positive integer n. For example if n = 6598, the function should return 4. Find a variant expression and a thresho

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