User Account

All Pages

Small program on Algorithms , Data Structure & Algorithms

Assignment Help:
Objective

The goal of this project is to extend and implement an algorithm presented in the course and to apply notions introduced by the course to this program/algorithm. The assignment is relatively open-ended. The instructor will answer any question you may have. However, when in doubt, work toward the project goal stated above. This is an individual project. You may discuss it with other students, but the work you present must be your own only.

Deliverable

You will produce two items: (1) the code of the program specified below, and (2) a narrative of your work specified below. You will e-mail both items to the TA (whose address will become available in the syllabus early in the course). The items will be transmitted as attachments to your e-mail. The code will be formatted as ASCII text. The narrative will be formatted as either ASCII text or PDF. The deadline follows the rules of the homework, the beginning of the first lecture of the week following the assignment, except that you will e-mail the material rather than bringing a hard copy to class. Late submission will be accepted up to 3 days and will be penalized at 10% a day.

Code spec

Your code will extend and implement the Knapsack Problem as presented in Section 8.2 of the textbook. The extension will become clear while describing the output. Your program is expected to read a file called "input-2.txt" containing 3*k lines, li,j for i in 1,2,... k and j in 1,2,3. An example of input file is input-2.txt. For any i, line li,1 contains n positive integers separated by a comma. They are the weights W1,W2,... of a Knapsack Problem instance with n items, where n is less than 100. Likewise, line li,2 contains n positive integers separated by a comma. They are the values V1,V2,... of the items whose weights are in the previous line. Finally, line li,3 contains a single integer, the knapsack capacity. No other characters beside digits and commas are in each line.

Your program is expected to write a file called "output-2.txt" containing 5*k lines, mi,j for i in 1,2,... k and j in 1,2,...5. The output file corresponding to input-2.txt is output-2.txt. For i in 1,2,... k and j in 1,2,3, mi,j=li,j. Line mi,4 contains a single integer, the Knapsack Problem instance optimal solution. Line mi,5 contains a sequence of positive integers in increasing values. They are the indexes, starting with 1, of the items that make up an optimal solution. The general format of the output is the same as the format of the input. The extension with respect to the textbook algorithm is the generation of a set of items witnessing an optimal solution. If there is more than one set, any set is acceptable.
The weights, values, capacities and other parameters will be within reasonable ranges for a modern laptop or desktop. The programming language can be any of Java, Python, Ruby, C, and C++. Deliver all your code in a single file that can be compiled and executed on cs.pdx.edu. Your program should perform reasonably efficiently both in theory and in practice.

Narrative spec

The narrative is intended to show that you know and understand the aspects of the project related to this course, in particular, ability to: (1) extend and implement an algorithms, (2) relate theoretical complexity to practice, (3) code correct, readable and efficient programs, and (4) communicate your work clearly and concisely.

I would expect to find one or more of the following: (1) a description of the extension in the same style as the algorithm in the textbook, (2) a description of key data structures and algorithms used in the program, (3) the running time analysis of your algorithm/program, and (4) any benchmarking, profiling and/or testing employed for development.

Hints

You are encouraged to start your work early. Reading and writing the files are tasks that you already partially solved in Project 1. The Knapsack Problem is very easy to understand. Initially, you can implement a brute force program without computing the indexes. This will work for small problem instances. Then, you can replace the brute force approach with the dynamic programming approach presented in the textbook. Finally, you can introduce the extension. As the code evolves, you can use the previous version to test the current version''s correctness.

Related Discussions:- Small program on Algorithms

Two - way merge sort, Merge sort is also one of the 'divide & conquer' clas...

Merge sort is also one of the 'divide & conquer' classes of algorithms. The fundamental idea in it is to split the list in a number of sublists, sort each of these sublists & merge

Circular queues and implement circular queues using array, Explain what are...

Explain what are circular queues? Write down routines required for inserting and deleting elements from a circular queue implemented using arrays.           Circular queue:

Aa-trees, Red-Black trees have introduced a new property in the binary sear...

Red-Black trees have introduced a new property in the binary search tree that means an extra property of color (red, black). However, as these trees grow, in their operations such

Conversion of general trees to binary trees, Taking a suitable example expl...

Taking a suitable example explains how a general tree can be shown as a Binary Tree. Conversion of general trees to binary trees: A general tree can be changed into an equiv

State hsv colour model, HSV Colour Model Instead of a set of colour pri...

HSV Colour Model Instead of a set of colour primaries, the HSV model uses colour descriptions that have a more intuitive appeal to a user. To give a colour specification, a use

Hashing and five popular hashing functions, Q. Explain the term hashing? Ex...

Q. Explain the term hashing? Explain any five well known hash functions.                         Ans: Hashing method provides us the direct access of record from the f

The threaded binary tree, By changing the NULL lines in a binary tree to th...

By changing the NULL lines in a binary tree to the special links called threads, it is possible to execute traversal, insertion and deletion without using either a stack or recursi

Algorithm.., write an algorithm to sort given numbers in ascending order us...

write an algorithm to sort given numbers in ascending order using bubble sort

Draw a flowchart to input start time and end time of vehicle, Speed cameras...

Speed cameras read the time a vehicle passes a point (A) on road and then reads time it passes a second point (B) on the same road (points A and B are 100 metres apart). Speed of t

Nonrecursive implementation of a recursive algorithm?, What data structure ...

What data structure would you mostly likely see in a nonrecursive execution of a recursive algorithm? Stack

Write Your Message!

Captcha
Order Assignment

Featured Services

Order Now

Popular Subjects

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!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +91-977-207-8620

Phone: +91-977-207-8620

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd