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("{0,3} ", 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

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