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

Algorithm to sort a given list by quick sort method, Q. Write down an algor...

Q. Write down an algorithm to sort a given list by making use of Quick sort method. Describe the behaviour of Quick sort when input given to us is already sorted.

Rules for abstract data type-tree, null(nil) = true                     // ...

null(nil) = true                     // nil refer for empty tree null(fork(e, T, T'))= false   //  e : element , T and T are two sub tree leaf(fork(e, nil, nil)) = true leaf(

Non-recursive implementation of preorder traversal, For preorder traversal,...

For preorder traversal, in the worst case, the stack will rise to size n/2, where n refer to number of nodes in the tree. Another method of traversing binary tree non-recursively t

How can the third dimension be displayed on the screen, How can the third d...

How can the third dimension be displayed on the screen The main problem in visualization is the display of three-dimensional objects and scenes on two-dimensional screens. How

Binary tree creation, Binary tree creation struct NODE { struct N...

Binary tree creation struct NODE { struct NODE *left; int value; struct NODE *right; }; create_tree( struct NODE *curr, struct NODE *new ) { if(new->val

Program on radix sort., Write a program that uses the radix sort to sort 10...

Write a program that uses the radix sort to sort 1000 random digits. Print the data before and after the sort. Each sort bucket should be a linked list. At the end of the sort, the

Algorithm to find maximum and minimum numbers, Give an algorithm to find bo...

Give an algorithm to find both the maximum and minimum of 380 distinct numbers that uses at most 568 comparisons.

Traversing a graph, two standards ways of traversing a graph in data struc...

two standards ways of traversing a graph in data structure

#titlestrings, given the string "Data Structures & , Algorithms", write a p...

given the string "Data Structures & , Algorithms", write a program that uses sequential search to return index of ''&''

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