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.