Board coloring problem description, Programming Languages

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:

641_board_coloring.png

            For Example:

Given Board :

821_board_coloring_1.png

Matrix representation of board is :
[ _ 1 _ _ ]
[ 2 _ _ _ ]
[ _ _ 2 _ ]
[ 2 _ _ _ ]
here blank space is represented by '_' .
Minimum colors to fill this board (given in the picture)is 4.

Instruction to work with Open PBT Client:

  1. Specify the work directory path in the 'Work directory Path' field. The path should correspond to your solution Work directory.
  2. Download the support files by clicking the Get Dev Files.
  3. You will find the problem directories containing:
    • problem.h file
    • problem.c file

in your project directory.

  1. Code the solution in.c file inside the problem directory
  2. 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 function int color(char board[4][4])
  • char   board[4][4]board is 2 dimensional matrix of order M X M where M = 4.
  • You can create more functions if required, but those functions should be in the same file.

 

Step 2:

In your solution keep in mind the following constraints.

  1. In this problem you have to write a program that finds the minimum number of colors needed to fill a board in which some of the elements are placed in advance.
  2. Function color() will take 2 dimension board as a input.
  3. Function color() returns the minimum number of colors that could fill the board meeting the given condition.
  4. Board is a 2 dimensional of M X M where M = 4 else return 0
  5. 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 function is

int color(char board[4][4])
This function takes following arguments.

  • board is 2 dimensional matrix of order M X M where M = 4.
  • This function returns minimum no of color by which board can be filled.

The constraints are:

  1. Board is a 2 dimensional of M X M where M = 4 else return 0
  2. 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 C solutions

Header File

:

boardcoloring.h

Function Name

:

int color(char board1[4][4])

File Name

:

boardcoloring.c

For C++ solutions

Header File

:

boardcoloring.h

Class Name

:

BoardColoring

Function Name

:

int color(char board1[4][4])

File Name

:

boardcoloring.c

General Instructions

    *

The file / class names, functions, method signatures, header files are to be used as mentioned in the problem statement. Do not use your own names or change the method signatures and fields. You can add any number of additional methods.

    *

For C solutions, change the value of "C_OR_CPP" macro in header file as 1 and for C++ solutions change the value as 2.

    *

Incase of iostream.h specify as iostream only.

    *

Command line options for the main() function are not supported currently.

Posted Date: 9/2/2012 9:56:40 AM | Location : United States







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

Write discussion on Board coloring problem description
Your posts are moderated
Related Questions
CSCI 3380 Project 1 For Mano’s Computer design, we have the following flowchart for fetch and decode phases: Please write the code to simulate the computer to

I need help getting started with a class project of creating a project in the Perl programming language. I was thinking of maybe doing an employee directory

develop a pseudocode algorithm to determine the total amount of extra cost changed to the organizers for expenses accurednduring the workshop. the code is to be written for an unde

The system you will develop should provide the following functionality to its users.     1.  Your system should allow the users to aggregate three different RSS feeds (they should

1. Write a bash shell script which searches through your folders for files with the extension *.tex, and then interactively deletes the corresponding *.aux, *.dvi and *.log files (


Normal 0 false false false EN-US X-NONE X-NONE MicrosoftInternetExplorer4

need a program of any multiplication algorithm implemented in assembly language x86 without using mul command

Write a function readPDBfile('filename') that will read the atoms for a protein stored in a PDB file, whose name is provided as an input to the function (note that this name should

All programs have to be done in console application. Program 1, 2 and 3 are due on 2/11/12 Program 4, 5, and 6 are due on 2/18/12 Program 7, 8, and 9 are due on 2/25/12 Program 10