Starting with the code below: Make use of 2D array

#include #include

using namespace std; int box[10][10]; int size;

int readSize(ifstream& fin) { fin >> size; } int readData(ifstream& fin) { } void printMatrix() { } int sumRow(int r) { } int sumCol(int c) { } int sumMainDiagonal() { } int sumReverseDiagonal() { } bool isMagic() { }

int lab() { cout << "Done" << endl; }

C++

Objectives:

Make use of a 2D Array

Understand how to traverse a 2D Array

Instructions:

A magic square is a matrix (two dimensional arrays) in which the sum of each row, sum of each column, sum of the main diagonal, and sum of the reverse diagonal are all the same value.

You are to code a program to determine if a given two-dimensional array (that will be read in from a file) is a magic square or not. This task (the task of determining if the square is magic) will be run in a loop. This loop should continue to read in squares, and determine if they are magic until the size read in is equal to -1 (the sentinel value).

Functions:

Code a function/method for each of the following:

Read data into the matrix

Print the matrix on the screen

Sum a row given the index for that row

Sum a column given the index for that column

Sum the main diagonal

Sum the reverse diagonal

Determine if the 2D Array is a magic square

The main method will read the size of the array outside of the main loop. Then inside the main loop it will call methods to read the data into the matrix, print the matrix, print all the row sums, print all the column sums, and print both diagonals. Then the program will determine if the matrix is a magic square and print an appropriate message. The next size should be read in before the loop repeats. The main should continue on with the next matrix, until a size of -1 is reached.

Sample Output:

The first part of the output should look similar to this:

=========

= Square 1=

=========

8 1 6

3 5 7

4 9 2

The sum of row 0 is 15

The sum of row 1 is 15

The sum of row 2 is 15

The sum of column 0 is 15

The sum of column 1 is 15

The sum of column 2 is 15

The main diagonal is 15

The other diagonal is 15

This matrix is a magic box!

Data File:

Paste everything below this block of text into a notepad file. Your input file must appear exactly as it below and include all of this data in the same file.

3

8 1 6

3 5 7

4 9 2

7

30 39 48 1 10 19 28

38 47 7 9 18 27 29

46 6 8 17 26 35 37

5 14 16 25 34 36 45

13 15 24 33 42 44 4

21 23 32 41 43 3 12

22 31 40 49 2 11 20

4

48 9 6 39

27 18 21 36

15 30 33 24

12 45 42 3

3

6 2 7

1 5 3

2 9 4

4

3 16 2 13

6 9 7 12

10 5 11 8

15 4 14 1

5

17 24 15 8 1

23 5 16 14 7

4 6 22 13 20

10 12 3 21 19

11 18 9 2 25

7

30 39 48 1 10 28 19

38 47 7 9 18 29 27

46 6 8 17 26 37 35

5 14 16 25 34 45 36

13 15 24 33 42 4 44

21 23 32 41 43 12 3

22 31 40 49 2 20 11

-1