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Posted 13 Dec 2011

Magic square in VB.NET

, 14 Dec 2011
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Calculating the magic square in VB.NET.

This is a simple console application developed with VB.NET for gerating the magic square of an odd number.

The magic squares problem leads to work into areas of mathematics such as theories of groups, lattices, Latin squares, determinants, partitions, matrices, and congruence arithmetic. Computer scientists are also perplexed by the difficulty of generating all magic squares of larger sizes.

In the solution, Sum shows the summation of any row, column, or diagonal.

The complete code is like this....

Module Module1
    Public s, size As Integer
    Sub Main()
        Dim n As Integer = 1
        Dim i As Integer = 1
        Dim j As Integer = 2
        Console.Write("ENTER THE SIZE OF MAGIC SQUARE:  ")
        s = Console.ReadLine()
        size = s
        Dim sum As Integer = 0
        Dim ans(s, s) As Integer
        If s <> 3 Then
            Dim tmp As Integer = (s - 3) \ 2
            i = i + tmp
            j = j + tmp
        End If
        While n <= s * s
            If ans(i, j) = 0 Then
                ans(i, j) = n
                n = n - 1
                i = i + 2
            End If
            i = i - 1
            j = j + 1
            If (i = -1 And j = s) Then
                i = 0
                j = 1
            End If
            If j >= s Then
                j = j - s
            End If
            If i < 0 Then
                i = s - 1
            End If
            n = n + 1
        End While
        Console.WriteLine("MAGIC SQUARE:")
        For k As Integer = 0 To size - 1
            For l As Integer = 0 To size - 1
                Console.Write("    " & ans(k, l))
        sum = ans(s \ 2, s \ 2) * s
        Console.Write("SUM: " & sum)
    End Sub
End Module

The summation is based on this equation:

SUM =  { N ( N^2 + 1 ) } /  2

Where the N is number of row or column. If N = 5, then the result will be 65.


This article, along with any associated source code and files, is licensed under The Code Project Open License (CPOL)


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Comments and Discussions

GeneralRe: Okay so what does it mean Pin
Peter Hawke22-Dec-11 13:55
memberPeter Hawke22-Dec-11 13:55 
GeneralRe: :) Pin
NikulDarji20-Dec-11 3:40
memberNikulDarji20-Dec-11 3:40 
GeneralRe: I agree, that paying attention to the logic behind the progr... Pin
Member 841302020-Dec-11 2:44
memberMember 841302020-Dec-11 2:44 
I agree, that paying attention to the logic behind the program is important - and I imagine that the logic was in the forefront of your thoughts when you posted the article. In that context, my comment was essentially off-topic, and I apologise for not properly introducing my feedback.

I'll strongly disagree, however, that attending to the variables' names is less important - although I'll acknowledge that their importance arises from a different context. Variable (and method and class) names are crucial to creating quality software. Poorly named entities (a) make it hard for a reader to understand the code being studied, and (b) make it hard for all, original author or reader, to ensure correctness: without clear and precise names the purpose of an object, method or variable cannot be solidly grasped and, in turn, the correctness of the related code is hard to validate.

If you truly want to help beginner coders (.Net or otherwise) then presenting coding practices that are recognised as being valuable would surely be a worthy thing to do.

If there are books that still use one character variable names, or any other kind of meaningless names, then we have an even stronger duty to present examples of the use of meaningful names, so that their utility can be noticed.

Note: I picked on 'ans' (for 'answer', I presume) because it is meaningless in the context of the algorithm - which is why I proposed 'magicSquare'. ('Answer' is a use-centric concept, which has no value or meaning at the algorithm level.) Sure, this is a trivial program and in this context it is obvious that the array is the magic square; however, in the context of teaching beginners good practices, an algorithm-centric name is likely to be more useful.
GeneralDim ans(s, s) As Integer What does the ans(s, s) mean. Is ... Pin
Peter Hawke20-Dec-11 13:49
memberPeter Hawke20-Dec-11 13:49 
GeneralRe: Yes....:) Pin
NikulDarji20-Dec-11 19:30
memberNikulDarji20-Dec-11 19:30 
GeneralReason for my vote of 2 I'll add to the previous dissatisfac... Pin
Member 841302020-Dec-11 0:17
memberMember 841302020-Dec-11 0:17 
GeneralRe: Don't u think u have to pay attention on logic behind this p... Pin
NikulDarji20-Dec-11 2:24
memberNikulDarji20-Dec-11 2:24 
GeneralReason for my vote of 1 How about explaining what a 'magic s... Pin
pt140118-Dec-11 7:02
memberpt140118-Dec-11 7:02 

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