Implement an algorithm to simulate car re-organizing, Data Structure & Algorithms

Assignment Help:

Design  and implement  an algorithm  to simulate car  re-organizing of the train at the railway switching junction. You can only use stacks as the data structure to represent the train and the cars in each transit rail.

Task 1: For any given  input of car order is  c1,c2,...,cn  and  a number  k  of transit rails (k≥2), design and implement an algorithm to simulate the car ordering procedure by using stack operations only so that the output of the car order is 1,2,...,n.

Task 2:  Analyse efficiency of your algorithm using Big-O notation by counting the number of stack operations used in your algorithm ( worst case analysis).

Task 3: Assume that k=n/2+1. Improve your algorithm so that its complexity is in O(n).  

Task 4: Discuss the efficiency of your algorithm in relation to k if k can be any number such that k≥2.


Related Discussions:- Implement an algorithm to simulate car re-organizing

Threads in main method, Create main method or a test class that creates 2 E...

Create main method or a test class that creates 2 Element objects that are neighbours of each other, the first element temperature set at 100, the 2nd at 0 and use an appropriate h

Graph search using iterative deepening, Prove that uniform cost search and ...

Prove that uniform cost search and breadth- first search with constant steps are optimal when used with the Graph-Search algorithm (see Figure). Show a state space with varying ste

Quick sort, This is the most extensively used internal sorting algorithm. I...

This is the most extensively used internal sorting algorithm. In its fundamental form, it was invented by C.A.R. Hoare in the year of 1960. Its popularity lies in the easiness of i

Depth-First Traversal, With the help of a program and a numerical example e...

With the help of a program and a numerical example explain the Depth First Traversal of a tree.

Explain principle of optimality, Explain principle of Optimality It ind...

Explain principle of Optimality It indicates that an optimal solution to any instance of an optimization problem is composed of  optimal solutions to its subinstances.

Row major representation, Row Major Representation In memory the primar...

Row Major Representation In memory the primary method of representing two-dimensional array is the row major representation. Under this representation, the primary row of the a

Interest rate, explain the determination of interest rate in the classical ...

explain the determination of interest rate in the classical system.

Algorithm, write an algorithm given each students name and grade points for...

write an algorithm given each students name and grade points for six courses.find his grade point average and group students into the gpa groups 3.5

Define game trees, Game trees An interesting application of trees is th...

Game trees An interesting application of trees is the playing of games such as tie-tac-toe, chess, nim, kalam, chess, go etc. We can picture the sequence of possible moves by m

Define merge sort, Define Merge Sort  Merge sort is a perfect example ...

Define Merge Sort  Merge sort is a perfect example of a successful application of the divide and conquer method. It sorts a given array A[0...n-l] by separating it into two ha

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