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 for sorting a deck of cards, What is wrong with the following alg...

What is wrong with the following algorithm for sorting a deck of cards (considering the basic properties of algorithms)? I. Put the cards together into a pile II. For each ca

Multiple stacks, how multiple stacks can be implemented using one dimension...

how multiple stacks can be implemented using one dimensional array

Explain division method, Explain Division Method Division Method: - In...

Explain Division Method Division Method: - In this method, key K to be mapped into single of the m states in the hash table is divided by m and the remainder of this division

Stacks, Q. Explain w hat are the stacks? How can we use the stacks  to chec...

Q. Explain w hat are the stacks? How can we use the stacks  to check whether an expression is correctly parentheses or not. For example (()) is well formed but (() or )()( is not w

Darw a flowchart to inputs top speeds of 5000 cars, Write an algorithm in t...

Write an algorithm in the form of a flowchart that: inputs top speeds (in km/hr.) of 5000 cars Outputs fastest speed and the slowest speed Outputs average (mean) s

Explain in brief about the container, Explain in brief about the Container ...

Explain in brief about the Container An entity which holds finitely many other entities. Just as containers such as boxes, baskets, bags, pails, cans, drawers, and so for

Various passes of bubble sort, Q. Show the various passes of bubble sort on...

Q. Show the various passes of bubble sort on the unsorted given list 11, 15, 2, 13, 6           Ans: The given data is as follows:- Pass 1:-     11   15   2     13

find shortest path from a to z using dijkstra''s algorithm., Q.  In the gi...

Q.  In the given figure find the shortest path from A to Z using Dijkstra's Algorithm.    Ans: 1.  P=φ;  T={A,B,C,D,E,F,G,H,I,J,K,L,M,Z} Let L(A)

Signals, How does cpu''s part tming and controls generate and controls sign...

How does cpu''s part tming and controls generate and controls signls in computer?

What is bubble sort, What is bubble sort? Bubble Sort: The basic ide...

What is bubble sort? Bubble Sort: The basic idea in bubble sort is to scan the array to be sorted sequentially various times. Every pass puts the largest element in its corr

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