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

Complexity classes, Complexity classes All decision problems fall in se...

Complexity classes All decision problems fall in sets of comparable complexity, called as complexity classes. The complexity class P is the set of decision problems which ca

Calculation of time complexity, Example: Assume the following of code: ...

Example: Assume the following of code: x = 4y + 3 z = z + 1 p = 1 As we have been seen, x, y, z and p are all scalar variables & the running time is constant irrespective

Process of channel access, Channel access In first generation systems, ...

Channel access In first generation systems, every cell supports a number of channels. At any given time a channel is allocated to only one user. Second generation systems also

Properties of a red-black tree, Any binary search tree must contain followi...

Any binary search tree must contain following properties to be called as a red-black tree. 1. Each node of a tree should be either red or black. 2. The root node is always bl

Explain arrays, Arrays :- To execute a stack we need a variable called top,...

Arrays :- To execute a stack we need a variable called top, that holds the index of the top element of stack and an array to hold the part of the stack.

Prims algorithm, how to implement prims algorithm dynamically

how to implement prims algorithm dynamically

Lists, In the earlier unit, we have discussed about the arrays. Arrays are ...

In the earlier unit, we have discussed about the arrays. Arrays are data structures of fixed size. Insertion & deletion involves reshuffling of array elements. Thus, arraymanipulat

Search, What are the conditions under which sequential search of a list is ...

What are the conditions under which sequential search of a list is preferred over binary search?

Complexity of an algorithm, What do you mean by complexity of an algorithm?...

What do you mean by complexity of an algorithm? The complexity of an algorithm M is the function f(n) which gives the running time and/or storage space need of the algorithm i

Program of insertion of an element in list, Program will demonstrate the in...

Program will demonstrate the insertion of an element at desired position /* Inserting an element into contiguous list (Linear Array) at particular position */ /* contiguous_

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