magical matrix

Question

Enter an Odd Number then create an 5 * 5 Magical matrix :(you can add every odd number in every rows and columns)

for example: If You Enter 1 in first row and third column

the result is:

this table

15	8	1	24	17
16	14	7	5	23
22	20	13	6	4
3	21	19	12	10
9	2	25	18	11

Joe Wilson · Answer

Thank you for your answer it helped me a lot.

Vulpes · Answer

Try this which is based on the Siamese method but moving diagonally up and left rather than right to get the answer you want: using System; class Magic { static void Main() { int k; while(true) { Console.Write(Enter a positive odd number : ); bool isValid = int.TryParse(Console.ReadLine() out k); if (isValid) { if (k > 0 && k % 2 == 1) break; // it's positive and odd if (k Console.WriteLine(Number must be positive); else Console.WriteLine(Number must be odd); } else { Console.WriteLine(Not a valid number); } } int[] square = new int[5 5]; square[0 2] = k; // set middle column of first row to k int maxCount = 24 + k; // fill remaining squares using Siamese method // but moving up and to left rather than right int currentRow = 0; int currentCol = 2; int tempRow tempCol; for (int count = k + 1; count { tempRow = currentRow - 1; tempCol = currentCol - 1; if (tempRow if (tempCol if (square[tempRow tempCol] > 0) { tempRow = currentRow + 1; tempCol = currentCol; } square[tempRow tempCol] = count; currentRow = tempRow; currentCol = tempCol; } int sum = 65 + (k - 1) * 5; Console.WriteLine(
A magic matrix of size 5 x 5 is as follows); Console.WriteLine(The sum of every row column and diagonal is {0}
 sum); // display magic matrix for(int i = 0; i { for(int j = 0; j { Console.Write({03}  square[i j]); } Console.WriteLine(); } Console.ReadKey(); } } For details of how the Siamese method works check out this link: http://en.wikipedia.org/wiki/Siamese_method