Chapter 6, Problem 5PP

Program Plan Intro

Magic Squares

Program plan:

Filename: “Square.java”

This program file is used to define a class “Square”. In the code,

• Define a class “Square”.
  • Declare the class members “numbers”, “square” and “size”.
  • Define constructor “Square()”.
    • Initialize “numbers”.
  • Define a method “add()”,
    • Call a method “add()” to add elements to “numbers”.
  • Define a method “rowSum()”,
    • Declare a variable “sum”.
    • Iterate a “for” loop,
      • Calculate the row sum and store it in “sum”.
        • Return the value in “sum”.
  • Define a method “columnSum()”,
    • Declare a variable “sum”.
    • Iterate a “for” loop,
      • Calculate the column sum and store it in “sum”.
        • Return the value in “sum”.
  • Define a method “diagonalSum()”,
    • Declare a variable “sum”.
    • Iterate a “for” loop,
      • Declare a variable “j”.
      • If true,
        • Set “j” equal to “i”.
      • If false,
        • Set the value of “j”.
      • Calculate the diagonal sum and store it in “sum”.
        • • Return the value in “sum”.
  • Define a method “isMagic()”.
    • Calculate the square root of size of “numbers” and store it in “size”.
    • If square of “size” is not equal to size of “numbers”,
      • Return “false”.
        • • Iterate loops,
            • Set the value of “square[i][j]”.
          • Iterate a “for” loop,
            • If index of “n” is equal to -1,
              • Return “false”.
                • Calculate the sum using “diagonalSum()”.
                  • If “sum != diagonalSum(false)” is true,
                    • §  Return “false”.
                  • Iterate a “for” loop,
                    • §  If “sum” not equal to “rowSum(i)”,
                      • ·        Return “false”.
                    • §  If “sum” not equal to “columnSum(i)”,
                      • ·         Return “false”.
                  • Return “true”.

Filename: “MagicSquareDemo.java”

This program file is used to define a class “MagicSquareDemo”. In the code,

• Import the required packages.
• Define a class “MagicSquareDemo”.
  • Define the method “main()”.
    • Define the object “in” of class “Scanner”.
    • Define the object “sq” of class “Square”.
    • Prompt the user to enter the sequence of integers.
    • Iterate a “while” loop,
      • Add the element to “sq” using “add()” method.
    • Call “isMagic()” on “sq” and if the result is true,
      • Print that it is magic square.
    • If the result is false,
      • Print that it is not magic square.