Lo Shu Magic Square Program Plan: Import the required packages. Declare the class “Main”. Declare the “main ()” method. Declare two 2-Dimensional arrays. Call the function “show_Array ()” to display the array. Call the function “show_Result ()” to display the result. Give function definition for “show_Result ()”. Check if the square is a magic square by calling the function “isMagicSquare ()”. If yes, then print the positive message. Else, Print the negative message. Give function definition for “show_Array ()” to display the array. Using nested “for” loops, print the values of the array. Give function definition for “isMagicSquare ()”. Declare a Boolean variable. Call the function “check_Range ()”, “checkUnique ()”, “checkRowSum ()”, “check_ColSum ()”, and “check_DiagSum ()”. Check the condition “is_InRange && is_Unique && is_EqualRows &&is_EqualCols && is_EqualDiag”. Assign “true” to the Boolean variable. Return the variable. Give function definition for “check_Range ()”. Declare required variables. Using nested “for” loops, check the condition “array[row][col] < MIN || array[row][col] > MAX”. Assign “false” to the Boolean variable. Return the variable. Give function definition for “check_Unique ()”. Declare required variables. Using the while condition “searchValue <= MAX && status == true”. Using nested “for” loops, Check the condition “array[row][col] == searchValue”, Increment the counter variable. Check if count value is greater than 1. Assign “false” to the Boolean variable. Increment the variable “searchValue”. Assign 0 to the counter variable. Return the status. Give function definition for “check_RowSum ()”. Declare a variable. Calculate the sum of 1 st row, 2 nd row and 3 rd row. Check if all the values are not equal to each other. Assign “false” to the Boolean variable. Return the variable. Give function definition for “check_ColSum ()”. Declare a variable. Calculate the sum of 1 st column, 2 nd column and 3 rd column. Check if all the values are not equal to each other. Assign “false” to the Boolean variable. Return the variable. Give function definition for “check_DiagSum ()”. Declare a variable. Calculate the sum of 1 st diagonal, and 2 nd diagonal. Check if all the values are not equal to each other. Assign “false” to the Boolean variable. Return the variable.

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Chapter 7, Problem 20PC

Program Plan Intro

Lo Shu Magic Square

Program Plan:

Import the required packages.

Declare the class “Main”.

Declare the “main ()” method.

Declare two 2-Dimensional arrays.

Call the function “show_Array ()” to display the array.

Call the function “show_Result ()” to display the result.

Give function definition for “show_Result ()”.

Check if the square is a magic square by calling the function “isMagicSquare ()”.

If yes, then print the positive message.

Else,

Print the negative message.

Give function definition for “show_Array ()” to display the array.

Using nested “for” loops, print the values of the array.

Give function definition for “isMagicSquare ()”.

Declare a Boolean variable.

Call the function “check_Range ()”, “checkUnique ()”, “checkRowSum ()”, “check_ColSum ()”, and “check_DiagSum ()”.

Check the condition “is_InRange && is_Unique && is_EqualRows &&is_EqualCols && is_EqualDiag”.

Assign “true” to the Boolean variable.

Return the variable.

Give function definition for “check_Range ()”.

Declare required variables.

Using nested “for” loops, check the condition “array[row][col] < MIN || array[row][col] > MAX”.

Assign “false” to the Boolean variable.

Return the variable.

Give function definition for “check_Unique ()”.

Declare required variables.

Using the while condition “searchValue <= MAX && status == true”.

Using nested “for” loops,

Check the condition “array[row][col] == searchValue”,

Increment the counter variable.

Check if count value is greater than 1.

Assign “false” to the Boolean variable.

Increment the variable “searchValue”.

Assign 0 to the counter variable.

Return the status.

Give function definition for “check_RowSum ()”.

Declare a variable.

Calculate the sum of 1^st row, 2^nd row and 3^rd row.

Check if all the values are not equal to each other.

Assign “false” to the Boolean variable.

Return the variable.

Give function definition for “check_ColSum ()”.

Declare a variable.

Calculate the sum of 1^st column, 2^nd column and 3^rd column.

Check if all the values are not equal to each other.

Assign “false” to the Boolean variable.

Return the variable.

Give function definition for “check_DiagSum ()”.

Declare a variable.

Calculate the sum of 1^st diagonal, and 2^nd diagonal.

Check if all the values are not equal to each other.

Assign “false” to the Boolean variable.

Return the variable.

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