board coloring, JAVA Programming

program for board coloring
Posted Date: 8/30/2012 4:52:04 AM | Location : United States







Board Coloring

Problem Description


In this problem you are given a board in which some of the elements are placed as shown in diagram below. Each element represents a color.
Fill the other elements in the board, such that none of the adjacent elements (vertically, horizontally and diagonally) should be of the same color.
Find out the minimum number of colors that should be used to fill the blank spaces in the board, so that the above condition is met.
Color representation is -: 0, 1, 2, 3, 4, 5, 6, 7…………………….
There is sample board:

For Example:

Given Board :

The matrix representation of board is :
[ _ 1 _ _ ]
[ 2 _ _ _ ]
[ _ _ 2 _ ]
[ 2 _ _ _ ]
In the above example the blank space is represented by ''_'' .
The minimum number of colors needed to fill the board in the example is 4.

Instruction to work with Open PBT Client:

Specify the work directory path in the ''Work Directory Path'' field. The path should correspond to your solution project directory.
Download the support files by clicking the Get Dev Files.
You will find the following three folders:
bin
src
lib
in your work directory.
Code the solution in . java file inside the src folder
All required files will be downloaded to your work directory. Creating additional files is strongly discouraged.

Step 1:
In your solution file:

Implement your logic in public int color(char[][] board) in class BoardColoring .
char[][] board : board is 2 dimensional matrix of order M X M where M = 4.

You can create more methods but, do it in the same class.

Step 2:
In your solution keep in mind the following constraints.

In this problem you have to write a program to find the minimum no of colors to fill a board where some of the elements of different color are already placed.
Method color() will take 2 D board as a input.
Method color() will return minimum no of colors which can fill the board with given condition.
The board should be a 2-dimensional M X M matrix, where M =4 otherwise return 0
Fill the other elements in the board, such that none of the adjacent elements (vertically, horizontally and diagonally) should be of the same color.

The Prototype of the method is:

public int color(char[][] board).
This method takes following arguments.

board is 2 dimensional matrix of order M X M where M = 4.

This method returns minimum no of color by which board can be filled.

The constraints are:

The board should be a 2-dimensional M X M matrix, where M =4 otherwise return 0
Fill the other elements in the board, such that none of the adjacent elements (vertically, horizontally and diagonally) should be of the same color.

Example 1
Input : { 2 0 _ 1 }
{ _ 1 _ _ }
{ _ 2 _ 0 }
{ _ _ _ 1 }
Output : 5

Explanation:
We need a minimum 5 different colors to complete the board.

Example 2
Input : { 2 0 _ 1 3}
{ _ 1 _ _ 2}
{ _ 2 _ 0 1}
{ _ _ _ 1 2}
{ _ _ _ _ 0}
Output : 0


Explanation:
Size of the board is greater than 4X4.

Example 3
Input : { _ 0 }
{ 1 _ }
Output : 0


Explanation:
Size of the board is less than 4X4.

For Java solutions
Package Name : test.boardcoloring
File Name : BoardColoring.java
Class Name : BoardColoring
Method Names : public int color(char[][] board)
Posted by diana | Posted Date: 9/4/2012 4:23:58 AM


Related Discussions:- board coloring, Assignment Help, Ask Question on board coloring, Get Answer, Expert's Help, board coloring Discussions

Write discussion on board coloring
Your posts are moderated
Related Questions
You need to build an agent system using the JADE Toolkit that allows the lecturer of FIT5031 to broadcast their availability and arrange for consultation with students in a dynamic


Project Description: Computer vision and Image processing project to extract book title Skills required: Java, C Programming

Develop an ehospital project Project Description: I am preparing ehopsital project.for the requires of hospital in that patient registration and billing module and stores mod

Need Minecraft Bukkit Plugin Programmer I want to make my own server for Minecraft. I am in need of a experts to make custom bukkit plugins for my server. But basically I will w

New Fishing App Project Description: A new app for iPhone providing a GPS connected map of the fishery you are fishing at and other logged in users who are also fishing at th

How virtual communities are formed? How these are different from other Communities? Give examples. Virtual Communities are interest-based communities. Members along with genera


* Using a data structure to represent a set * Writing and using a checked exception * Extending the Exception class What should you upload via Blackboard? The files,

EJB elements operate inside a container environment and rely heavily on the container to give security. The four key services needed for the security are: 1. Identification :