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-   C++ (http://www.go4expert.com/articles/cpp-tutorials/)
-   -   Magic Square (http://www.go4expert.com/articles/magic-square-t8690/)

Magic Square

This is very simple if you think in a simple manner.

A magic square is represented in a matrix form. May be all of you know this formula to satisfy magic square rule i.e. for size of matrix n*n sum of each row or column or diagonal should be n[n*n+1]/2.

means
for n=3 , sum(row or column or diag) = 15
for n=4 , sum(row or column or diag) = 34
for n=5 , sum(row or column or diag) = 65
You can say here n is order of magic square.

Example: for order of magic square 4
``` 16 2 3 13 5 11 10 8 9 7 6 12 4 14 15 1 ```

Now Just think it in a programmitically way!!!
Code: Cpp

`void BuildMagicSquare(){    int order=5,loop;    int MagicMat[5][5];    int SqrOfOrder = order * order;    int nCount=0, mid=order/2;    for(loop=1; loop<=SqrOfOrder ; ++loop)     {        MagicMat[nCount--][mid++] = loop;        if (loop % order == 0)         {             nCount += 2;             --mid;         }        else         {            if (mid==order)                 mid -= order;            else if (nCount<0)                 nCount += order;        }    }}`

 alramesh 6Feb2008 21:26

Re: Magic Square

I think this will work only for odd Order.

means for n=1,3,5,7, etc

 shabbir 7Feb2008 17:14

Re: Magic Square

Quote:
 Originally Posted by alramesh I think this will work only for odd Order. means for n=1,3,5,7, etc
Quote:
 Originally Posted by debleena_doll2002 Yes !!! It will not work for odd order
Now I have a doubt as to for what it will work.

 debleena_doll2002 7Feb2008 17:36

Re: Magic Square

I putted wrongly!!! It will work for only Odd Order...
For even order it will not work.

 debleena_doll2002 7Feb2008 17:38

Re: Magic Square

Can you delete my post
Quote:
 Yes !!! It will not work for odd order

 shabbir 7Feb2008 18:29

Re: Magic Square

Quote:
 Originally Posted by debleena_doll2002 Can you delete my post
Done.

 debleena_doll2002 7Feb2008 18:59

Re: Magic Square

Thanks Shabbir!!!

 coderzone 9Feb2008 12:45

Re: Magic Square

Admin, do you think this should be an Article because it does not work correctly as well as Nothing is explained.

 shabbir 9Feb2008 12:57

Re: Magic Square

No. Because its a contribution and not a query and so it goes into the Article / Tutorial / Source code section. Now how well its explained will make it a contender for the Article of the month.

 coderzone 9Feb2008 13:00

Re: Magic Square

Agreed

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