Board Coloring, JAVA Programming

BoardColoring.java program for 2D MXM matrix
Posted Date: 8/30/2012 3:50:04 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 4:24:08 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
Develop a GeoNetwork Template Project Description: Want a personalized GeoNetwork Template with the consideration of the logo included to this proposal and its colors. The ba


write a program in java using array and scanner class to generate padovan series

An application server cluster has of a number of application servers loosely coupled on a network. The server group or server cluster is usually distributed over a number of nodes

Explain traversing through a collector using Iterator. Ans. We can access each element in Collection by using Iterators regardless of how they are organized in collector. Ite

Write a program that takes as input a sequence of transactions of the form "buy x; share(s) at $y each" or "sell x share(s) at $y each," assuming that the transactions occur on con

program for syntax tree

Using Java, write the class Time which consists of the following: (a) three private integer data members (hours, minutes and seconds). (b) a constructor to initialise the dat

What is Setter Methods explain with an example? Setter methods, also called as mutator methods, merely set the value of a field to a value specified through the argument to the