C# Homework Help - C# Logical Puzzles, Games, and Algorithms: Lo Shu Magic Square

C# Homework Question - C# Logical Puzzles, Games, and Algorithms: Lo Shu Magic Square

 

C# Homework Solution

Here’s an example C# program for the Lo Shu Magic Square:
using System;

class MagicSquare
{
    static void Main(string[] args)
    {
        int[,] square = new int[3, 3];
        int num = 1;

        // Initialize the square with zeros
        for (int i = 0; i < 3; i++)
        {
            for (int j = 0; j < 3; j++)
            {
                square[i, j] = 0;
            }
        }

        // Start at the center of the first row
        int row = 0;
        int col = 1;

        // Fill in the square with the numbers 1-9
        while (num <= 9)
        {
            square[row, col] = num;

            // Move diagonally up and to the right
            row--;
            col++;

            // If we go off the top or right edge, wrap around to the bottom or left edge
            if (row < 0)
            {
                row = 2;
            }
            if (col > 2)
            {
                col = 0;
            }

            // If the next spot is already filled, move down one spot
            if (square[row, col] != 0)
            {
                row++;
            }

            num++;
        }

        // Print out the magic square
        Console.WriteLine("The Lo Shu Magic Square is:");
        for (int i = 0; i < 3; i++)
        {
            for (int j = 0; j < 3; j++)
            {
                Console.Write("{0} ", square[i, j]);
            }
            Console.WriteLine();
        }

        // Check if the square is magic (sum of each row, column, and diagonal is 15)
        if (square[0, 0] + square[0, 1] + square[0, 2] == 15 &&
            square[1, 0] + square[1, 1] + square[1, 2] == 15 &&
            square[2, 0] + square[2, 1] + square[2, 2] == 15 &&
            square[0, 0] + square[1, 0] + square[2, 0] == 15 &&
            square[0, 1] + square[1, 1] + square[2, 1] == 15 &&
            square[0, 2] + square[1, 2] + square[2, 2] == 15 &&
            square[0, 0] + square[1, 1] + square[2, 2] == 15 &&
            square[0, 2] + square[1, 1] + square[2, 0] == 15)
        {
            Console.WriteLine("The Lo Shu Magic Square is magic!");
        }
        else
        {
            Console.WriteLine("The Lo Shu Magic Square is not magic.");
        }

        Console.ReadLine();
    }
}
This program creates a 3x3 array representing the Lo Shu Magic Square, and fills it in using a specific algorithm. Then it checks if the square is a magic square (meaning the sum of each row, column, and diagonal is the same number), and prints a message indicating whether it is or not.