Program to tests whether they form a magic square

Reference no: EM13693811

Program Specification: An n x n matrix that is filled with the whole numbers 1, 2, 3, .. n2 is a magic square if the sum of the elements in each row, in each column, and in the two diagonals is the same value.

Here is a magic square where n = 3:

8 1 6

3 5 7

4 9 2

Program: Write a program that reads n2 numbers from standard input and tests whether they form a magic square when put into matrix form.

The value of n is NOT an input to the program; n must be determined from the number of inputs.

For example, the input that creates the example matrix above is 8 1 6 3 5 7 4 9 2.

The output is a single word, "true" if the input produces a magic square, "false" otherwise. Your program may assume that each input token is a whole number.

The program must verify:

1. The proper number of input values was provided.

2. Each of the numbers between 1 and n2 occurs exactly once in the input.

3. When the numbers are arranged in a matrix,

the sum of the rows,
columns,
and diagonals must be the same value.

You need to make well-formed and clean code. You should not copy and paste the code from other source.

Reference no: EM13693811

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