board colouring, C/C++ Programming

in this problem you are given a board in which some of the elements are placed..each element represent ancolor.fill the other elements in the board such that none of the adjacent element should of the same color.find the minimum no ofcolors that should used to fill the blank spaces in the board.color representation 0,1,2,3,4......
Posted Date: 8/30/2012 1:44:39 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 4:24:01 AM


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

Write discussion on board colouring
Your posts are moderated
Related Questions
A student apears in exam of math, physics, and chemistry. Write a program to find the total marks aa student has aqueired find the average.

A Padovan string P(n) for a natural number n is defined as: P(0) = ‘X’ P(1) = ‘Y’ P(2) = ‘Z’ P(n) = P(n-2) + P(n-3), n>2 where + denotes string concatenation.

Explain Register Variable Computers have internal registers, which are used to keep data temporarily, before any operation can be performed. Intermediate results of the calcula


A body which has three forces acting on it is in equilibrium. One force is 3N to the North and the other is 4N to the west. What us the magnitude and direction of the third force?

create a shopping cart in c++

Project Description:  LOOKING TO DEVELOP A ONLINE POKER Web Application. WEBSITE WILL BE DEVELOPED OVER THE NEXT 6 MONTHS Duration & WILL REQUIRE FULL SOFTWARE CODING OF WEB

Write a program to calculate the total resistance of a series or parallel circuit. The maximum number of resistors is two.   We need to decide whether the user wants the to

It''s that spooky time of year when the dead walk the Earth, things go bump in the night, and the Centers for Disease Control (CDC) recognizes the need for zombie preparedness (

Write a program that allows user to enter number of elements in an array. The program then allows user to enter the elements. Write a function called max that returns the position