Lo Shu Magic Square

C++ program : The Lo Shu Magic Square is a grid with 3 rows and 3 columns shown in Figure 1.

Figure 1: Lo Shu Magic Square

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 2.

Figure 2: Sums of rows, columns and diagonals

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. When you test the function, generate a square and then test whether it is a Lo Shu Magic Square.

Hint: Use rand() to generate each element of the array. Make sure they are only between 1 and 9.

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