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.

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Chapter 7, 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.

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