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

Illustrate the varieties of arrays, Varieties of Arrays In some languag...

Varieties of Arrays In some languages, size of an array should be established once and for all at program design time and can't change during execution. Such arrays are known a

Java, Ask consider the file name cars.text each line in the file contains i...

Ask consider the file name cars.text each line in the file contains information about a car ( year,company,manufacture,model name,type) 1-read the file 2-add each car which is repr

Draw trace table and determine output of number, Draw trace table and deter...

Draw trace table and determine output from the following flowchart using following data: Number = 45, -2, 20.5

Binary search, An unsorted array is searched through linear search that sca...

An unsorted array is searched through linear search that scans the array elements one by one until the wanted element is found. The cause for sorting an array is that we search

Notes, Ask question #Minimum 10000 words accepted#

Ask question #Minimum 10000 words accepted#

Data structures, #quCreate a flowchart to show the process that will allow ...

#quCreate a flowchart to show the process that will allow the implementation of Queue, Enqueue, and Dequeue operations.estion..

Division-remainder hashing, According to this, key value is divided by any ...

According to this, key value is divided by any fitting number, generally a prime number, and the division of remainder is utilized as the address for the record. The choice of s

Procedures, what is far and near procedures in system programming?

what is far and near procedures in system programming?

Explain the assertions in ruby, Explain the Assertions in Ruby Ruby off...

Explain the Assertions in Ruby Ruby offers no support for assertions whatever. Moreover, because it's weakly typed, Ruby doesn't even enforce rudimentary type checking on opera

Explain state space tree, Explain State Space Tree If it is convenient ...

Explain State Space Tree If it is convenient to execute backtracking by constructing a tree of choices being made, the tree is known as a state space tree. Its root indicates a

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