Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Computer Engineering Expert

For this assignment you will study and implement Korf’s algorithm for finding optimal solutions to random instances of Rubik’s Cube. Included with the assignment is a copy of Korf’s original paper. You should begin by reading the paper. Korf initially suggest using an iterative deepening version of A* (IDA*) with the heuristic. However, he points out that the inaccuracy of this heuristic results in too many nodes generated and therefore too much time to compute a solution. His answer to this problem is to precompute the heuristic for three components of the cube (corners, sides, sides) and store the values in a table. If these tables are small enough to be kept in memory, they can be referenced as part of the heuristic function. The assignment then breaks down into two steps:

1. Precompute the three tables for Korf’s heuristic and store the tables in a file. Be sure to choose a representation that is memory-efficient.

2. prepare a program that takes an arbitrary cube state as input and outputs an optimal solution move sequence. Your program should read in the tables that you precomputed, and use IDA* and Korf’s heuristic to find the solution.

I/O

For both input and output we will use the letters {R, O, Y, G, B, W} to represent the colors {Red, Orange, Yellow, Green, Blue, White}, respectively.

Input

For input your program should take the name of a file that will contain an arbitrary cube state. The file will contain a specific two dimensional representation of the cube, using the letters above to describe each cube face. The structure of the two dimensional representation will be as follows:

1850_cube face.jpg


Sample Files
The goal state would be:                             A valid non-goal state would be:
RRR                                                                    GGW
RRR                                                                    RRG
RRR                                                                    RRG                                                              
GGGYYYBBB                                                   OWWGGOYYR
GGGYYYBBB                                                   OGOYYYRBR
GGGYYYBBB                                                   YYYRBGRWW
OOO                                                                  BOY
OOO                                                                  BOB
OOO                                                                  BOB
WWW                                                                OGO
WWW                                                                WWB
WWW                                                                WWB

All spaces should be ignored when reading the files. Note that the six center faces are always the same in any valid state.
Invalid States

Not all arrangements of the faces are reachable from the goal state. The first thing your program should do is check that the input state is valid. If not, the program should output a message indicating that the state is invalid and terminate.

Output

Your program should output the optimal solution sequence for the input state as a string to standard input. The format of the solution sequence will be a string with two characters per move. The first character will be the color of the center cubie of the face to be rotated. The second character will be the number of 90° clockwise rotations, i.e. ∈ {1, 2, 3}. E.g., for the above non-goal state, the optimal solution would be O1W1R1Y3.

Language

You may use a programming language of your choice for this assignment. You are responsible for choosing a programming language and making it work. If you plan to use a non-standard language, be sure to start early so you have time to change languages if your approach does not work.

Report

In addition to the source code, report must contains the following:

• Explanation of your approach for computing and storing the tables

• Details about the tables, including number of entries and memory requirements

• Instructions for running your program

• Solutions for the ten sample states (to be provided)

Computer Engineering, Engineering

  • Category:- Computer Engineering
  • Reference No.:- M91571

Have any Question? 


Related Questions in Computer Engineering

What career paths would knowledge of excel worksheets

What career paths would knowledge of Excel worksheets benefit an individual? Would knowledge of Excel be beneficial for you in your current or future career? How could you use Excel in your personal life? (Please conside ...

In an 80211 communication the size of the payload frame

In an 802.11 communication, the size of the payload (frame body) is 1200 bytes. The station decides to fragment the frame into three fragments, each of 400 payload bytes. Answer the following questions: a. What would be ...

1 what kind of values can you throw can you throw a string

1. What kind of values can you throw? Can you throw a string? An integer? 2. What is the purpose of the finally clause? Give an example of how it can be used. 3. What happens when an exception is thrown, the code of a fi ...

You are a forensics investigator and need to address the

You are a forensics investigator and need to address the following cases. You can find the Case Projects at the end of Chapters 3 and 4 in your textbook. Case Project 3-3: Digital Evidence Storage Formats (CLO 1) Case Pr ...

Many programming languages especially older ones provide no

Many programming languages, especially older ones, provide no language support for concurrency. C and C++ are examples of such languages. Is it essential that a language include syntax for concurrency to be able to write ...

1 assume a private internet uses a protocol suite totally

1. Assume a private internet uses a protocol suite totally different from the TCP/ IP protocol suite. Can this internet still use the services of UDP or TCP as an end-to-end vehicle of message communication? 2. Can you e ...

Given a large ordered array that may contain many elements

Given a large ordered array that may contain many elements that are multiply occurring (it may be assumed that on average when an element is multiply occurring it will occur many times). Devise an adaptive duplicate dele ...

Mean time between failures mtbf mean time to replacement

Mean Time Between Failures (MTBF), Mean Time To Replacement (MTTR), and Mean Time To Failure (MTTF) are useful metrics for evaluating the reliability and availability of a storage resource. Explore these concepts by answ ...

Your switched network has two catalyst 3560 switches with

Your switched network has two Catalyst 3560 switches with redundant connections. You are configuring the switches to increase available traffic bandwidth between them by actively negotiating an EtherChannel using PAgP ch ...

You can use a stack to check whether a programming

You can use a Stack to check whether a programming statement or a formula has balanced parentheses. Write a Windows application that provides a textbox for the user to enter an expression with parenthesis. Provide a Chec ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro