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

Queue, 1. Show the effect of each of the following operations on queue q. A...

1. Show the effect of each of the following operations on queue q. Assume that y (type Character) contains the character ‘&’. What are the final values of x and success (type boole

Define order of growth, Define order of growth The  efficiency  analysi...

Define order of growth The  efficiency  analysis  framework  concentrates   on  the  order  of  growth  of  an  algorithm's   basic operation count as the principal indicator o

Advantages of dry running a flowchart, Advantages of dry running a flowchar...

Advantages of dry running a flowchart When dry running a flowchart it's advisable to draw up a trace table illustrating how variables change their values at every stage in the

Big o notation, This notation gives an upper bound for a function to within...

This notation gives an upper bound for a function to within a constant factor. Given Figure illustrates the plot of f(n) = O(g(n)) depend on big O notation. We write f(n) = O(g(n))

Program for all pairs shortest paths algorithm, Program segment for All pai...

Program segment for All pairs shortest paths algorithm AllPairsShortestPaths(int N, Matrix C, Matrix P, Matrix D) { int i, j, k if i = j then C[i][j] = 0  for ( i =

Implement the physat algorithm, The first assignment in this course require...

The first assignment in this course required you to acquire data to enable you to implement the PHYSAT algorithm (Alvain et al. 2005, Alvain et al. 2008) in this second assignment

Determine the algorithm for z-buffer method, Algorithm for Z-Buffer Method ...

Algorithm for Z-Buffer Method (a)  Initialize every pixel in the viewport to the smallest value of z, namely z0 the z-value of the rear clipping plane or "back-ground". Store a

Efficiency of binary search, Each of the comparison in the binary search de...

Each of the comparison in the binary search decrease the number of possible candidates where the key value can be searched by a factor of 2 as the array is divided into two halves

Depth first traversal, A depth-first traversal of a tree visits a nodefirst...

A depth-first traversal of a tree visits a nodefirst and then recursively visits the subtrees of that node. Similarly, depth-first traversal of a graph visits a vertex and then rec

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