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

Hashing, explain collision resloving techniques in hasing

explain collision resloving techniques in hasing

The searching technique that takes o (1) time to find a data, The searching...

The searching technique that takes O (1) time to find a data is    Hashing is used to find a data

Write down the procedure to reverse a singly linked list. , Ans: A pr...

Ans: A procedure to reverse the singly linked list: reverse(struct node **st) { struct node *p, *q, *r; p = *st; q = NULL; while(p != NULL) { r =q;

DAA, what do we use asymptotic notation in study of algorithm?Describe vari...

what do we use asymptotic notation in study of algorithm?Describe various asymptotic notation and give their significance.

Define techniques of dry running of flowcharts, Explain the term- Dry runni...

Explain the term- Dry running of flowcharts  Dry running of flowcharts is essentially a technique to: Determine output for a known set of data to check it carries out th

What is diffuse illumination, Diffuse Illumination Diffuse illuminatio...

Diffuse Illumination Diffuse illumination means light that comes from all directions not from one particular source. Think about the light of a grey cloudy day as compared to

What are the dynamic arrays, What are the Dynamic arrays Dynamic arrays...

What are the Dynamic arrays Dynamic arrays are convenient for programmers since they can never be too small-whenever more space is needed in a dynamic array, it can simply be e

Explain threaded binary tree, Threaded Binary Tree : If a node in a bin...

Threaded Binary Tree : If a node in a binary tree is not having left or right child or it is a leaf node then that absence of child node is shown by the null pointers. The spac

Searching, Searching is the procedure of looking for something: Finding one...

Searching is the procedure of looking for something: Finding one piece of data that has been stored inside a whole group of data. It is frequently the most time-consuming part of m

LINKED LIST, HOW LINKED LIST HEADER WORKS? HOW TO INSERT AND DELETE ELEMENT...

HOW LINKED LIST HEADER WORKS? HOW TO INSERT AND DELETE ELEMENTS IN LINKED LIST?

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