One interesting application of two-dimensional arrays is magic squares. A magic square is a square matrix in which the sum of every row, every...

One interesting application of two-dimensional arrays is magic squares. A magic square is a square matrix in which the sum of every row, every column, and both diagonals is the same. Magic squares have been studied for many years, and there are some particularly famous magic squares. Write a program to determine whether a series of square matrices are magic or not. The first line of input for each square specifies the size of the square. The square elements follow, one row per line. The end of the data is indicated by -1. some sample outputs attached below.