Lo Shu Magic Square

The Lo Shu Magic Square is a grid with 3 rows and 3 columns shown in Figure 7-19 .

The Lo Shu Magic Square has the following properties:

The grid contains the numbers 1 through 9 exactly.

The sum of each row, each column, and each diagonal all add up to the same

number. This is shown in Figure 7-20 .

In a program you can simulate a magic square using a two-dimensional array. Write a

function that accepts a two-dimensional array as an argument, and determines whether

the array is a Lo Shu Magic Square. Test the function in a program.

1) Define a class LoShuSquare with the necessary data and functions to play the game. Use a 2-D int array with three rows and three columns as the game grid. The class should also have the following functions:

A constructor to initialize the grid with zeros.

A function to fill a specific square with a number 1-9, given row and column.

For example, fill (0, 0, 4) will change the upper leftmost square to 4.

A function to print the board on the screen

A function to check if the grid is a Lo Shu Square. You may want to break this into multiple functions to check rows, columns and diagonals separately.

2) Define a class Player to implement the interaction with the user, such as asking for values to fill out the grid. The constructor should receive an object of the LoShuSquare class as a parameter.

3) The main function that I will use to test your game is given. You just have to turn in Player.h and LoShuSquare.h (these header files should have all your code implemented as inline functions).