nput for this project:   Values of the grid (row by row)   Output for this project:   Whether or not the grid is magic square Programmer’s full name Project number Project due date     Processing Requirements   Start from scratch. Use the following template to start your project:   #include using namespace std;   // Global constants const int ROWS = 3;  // The number of rows in the array const int COLS = 3;  // The number of columns in the array const int MIN = 1;  // The value of the smallest number const int MAX = 9;  // The value of the largest number   // Function prototypes bool isMagicSquare(int arrayRow1[], int arrayRow2[], int arrayRow3[], int size); bool checkRange(int arrayRow1[], int arrayRow2[], int arrayRow3[], int size, int min, int max); bool checkUnique(int arrayRow1[], int arrayRow2[], int arrayRow3[], int size); bool checkRowSum(int arrayrow1[], int arrayrow2[], int arrayrow3[], int size); bool checkColSum(int arrayrow1[], int arrayrow2[], int arrayrow3[], int size); bool checkDiagSum(int arrayrow1[], int arrayrow2[], int arrayrow3[], int size); void fillArray(int arrayRow1[], int arrayRow2[], int arrayRow3[], int size); void showArray(int arrayrow1[], int arrayrow2[], int arrayrow3[], int size);   int main() {               /* Define a Lo Shu Magic Square using 3 parallel arrays corresponding         to each row of the grid */         int magicArrayRow1[COLS], magicArrayRow2[COLS], magicArrayRow3[COLS];         // Your code goes here         return 0; } // Function definitions go here       Do not repeat any source code segment you submitted in previous semesters. Create and use at least the following functions:   void fillArray(int arrayrow1[], int arrayrow2[], int arrayrow3[], int size) - Accepts 3 int arrays and a size as arguments, and fills the arrays out with values entered by the user. First argument corresponds to the first row of the magic square, second argument to the second row and the third argument to the third row of the magic square void showArray(int arrayRow1[], int arrayRow2[], int arrayRow3[], int size) - accepts 3 int arrays and a size as arguments and displays their content. Example:      1 3 5    (arrayRow1)  6 7 9    (arrayRow2)  8 2 4    (arrayRow3)   bool isMagicSquare(int arrayRow1[], int arrayRow2[], int arrayRow3[], int size) - accepts 3 int arrays and a size as arguments and returns true if all the requirements of a magic square are met. Otherwise, it returns false. First argument corresponds to the first row of the magic square, second argument to the second row and the third argument to the third row of the magic square. bool checkRange(int arrayRow1[], int arrayRow2[], int arrayRow3[], int size, int min, int max) - accepts 3 int arrays, a size and a min and max value as arguments and returns true if the values in the arrays are within the specified range min and max. Otherwise, it returns false. First argument corresponds to the first row of the magic square, second argument to the second row and the third argument to the third row of the magic square. bool checkUnique(int arrayRow1[], int arrayRow2[], int arrayRow3[], int size) - accepts 3 int arrays and a size as arguments, and returns true if the values in the arrays are unique (only one occurrence of numbers between 1-9). Otherwise, it returns false. First argument corresponds to the first row of the magic square, second argument to the second row and the third argument to the third row of the magic square. bool checkRowSum(int arrayRow1[], int arrayRow2[], int arrayRow3[], int size) - accepts 3 int arrays and a size as arguments and returns true if the sum of the values in each of the rows are equal. Otherwise, it returns false. First argument corresponds to the first row of the magic square, second argument to the second row and the third argument to the third row of the magic square. bool checkColSum(int arrayRow1[], int arrayRow2[], int arrayRow3[], int size) - accepts 3 int arrays and a size as arguments and returns true if the sum of the values in each of the columns are equal. Otherwise, it returns false. First argument corresponds to the first row of the magic square, second argument to the second row and the third argument to the third row of the magic square. bool checkDiagSum(int arrayrow1[], int arrayrow2[], int arrayrow3[], int size) - accepts 3 int arrays and a size as arguments and returns true if the sum of the values in each of the array's diagonals are equal. Otherwise, it returns false. First argument corresponds to the first row of the magic square, second argument to the second row and the third argument to the third row of the magic square. [NOTE: You can create and use more functions as needed.]     Test Plan Test your program with at least 3 more test cases. Use the given data as an example. Record your data for input and output in the following table. Make sure your tests cover all the possible scenarios in the scope of concepts described in Chapters mentioned above.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Project Description

 

 

Project Specifications

 

Input for this project:

 

  • Values of the grid (row by row)

 

Output for this project:

 

  • Whether or not the grid is magic square
  • Programmer’s full name
  • Project number
  • Project due date

 

 

Processing Requirements

 

Start from scratch.

Use the following template to start your project:

 

#include<iostream>

using namespace std;

 

// Global constants

const int ROWS = 3;  // The number of rows in the array

const int COLS = 3;  // The number of columns in the array

const int MIN = 1;  // The value of the smallest number

const int MAX = 9;  // The value of the largest number

 

// Function prototypes

bool isMagicSquare(int arrayRow1[], int arrayRow2[], int arrayRow3[], int size);

bool checkRange(int arrayRow1[], int arrayRow2[], int arrayRow3[], int size, int min, int max);

bool checkUnique(int arrayRow1[], int arrayRow2[], int arrayRow3[], int size);

bool checkRowSum(int arrayrow1[], int arrayrow2[], int arrayrow3[], int size);

bool checkColSum(int arrayrow1[], int arrayrow2[], int arrayrow3[], int size);

bool checkDiagSum(int arrayrow1[], int arrayrow2[], int arrayrow3[], int size);

void fillArray(int arrayRow1[], int arrayRow2[], int arrayRow3[], int size);

void showArray(int arrayrow1[], int arrayrow2[], int arrayrow3[], int size);

 

int main()

{

     

        /* Define a Lo Shu Magic Square using 3 parallel arrays corresponding         to each row of the grid */

        int magicArrayRow1[COLS], magicArrayRow2[COLS], magicArrayRow3[COLS];

        // Your code goes here

 

      return 0;

}

// Function definitions go here

 

 

 

Do not repeat any source code segment you submitted in previous semesters.

Create and use at least the following functions:

 

  • void fillArray(int arrayrow1[], int arrayrow2[], int arrayrow3[], int size) - Accepts 3 int arrays and a size as arguments, and fills the arrays out with values entered by the user. First argument corresponds to the first row of the magic square, second argument to the second row and the third argument to the third row of the magic square
  • void showArray(int arrayRow1[], int arrayRow2[], int arrayRow3[], int size) - accepts 3 int arrays and a size as arguments and displays their content.

Example:    

 1 3 5    (arrayRow1)

 6 7 9    (arrayRow2)

 8 2 4    (arrayRow3)

 

  • bool isMagicSquare(int arrayRow1[], int arrayRow2[], int arrayRow3[], int size) - accepts 3 int arrays and a size as arguments and returns true if all the requirements of a magic square are met. Otherwise, it returns false. First argument corresponds to the first row of the magic square, second argument to the second row and the third argument to the third row of the magic square.

  • bool checkRange(int arrayRow1[], int arrayRow2[], int arrayRow3[], int size, int min, int max) - accepts 3 int arrays, a size and a min and max value as arguments and returns true if the values in the arrays are within the specified range min and max. Otherwise, it returns false. First argument corresponds to the first row of the magic square, second argument to the second row and the third argument to the third row of the magic square.

  • bool checkUnique(int arrayRow1[], int arrayRow2[], int arrayRow3[], int size) - accepts 3 int arrays and a size as arguments, and returns true if the values in the arrays are unique (only one occurrence of numbers between 1-9). Otherwise, it returns false. First argument corresponds to the first row of the magic square, second argument to the second row and the third argument to the third row of the magic square.

  • bool checkRowSum(int arrayRow1[], int arrayRow2[], int arrayRow3[], int size) - accepts 3 int arrays and a size as arguments and returns true if the sum of the values in each of the rows are equal. Otherwise, it returns false. First argument corresponds to the first row of the magic square, second argument to the second row and the third argument to the third row of the magic square.
  • bool checkColSum(int arrayRow1[], int arrayRow2[], int arrayRow3[], int size) - accepts 3 int arrays and a size as arguments and returns true if the sum of the values in each of the columns are equal. Otherwise, it returns false. First argument corresponds to the first row of the magic square, second argument to the second row and the third argument to the third row of the magic square.

  • bool checkDiagSum(int arrayrow1[], int arrayrow2[], int arrayrow3[], int size) - accepts 3 int arrays and a size as arguments and returns true if the sum of the values in each of the array's diagonals are equal. Otherwise, it returns false. First argument corresponds to the first row of the magic square, second argument to the second row and the third argument to the third row of the magic square.

[NOTE: You can create and use more functions as needed.]

 

 

Test Plan

Test your program with at least 3 more test cases. Use the given data as an example. Record your data for input and output in the following table. Make sure your tests cover all the possible scenarios in the scope of concepts described in Chapters mentioned above.

 

**Magic Square Program Instructions**

**Objective:**

Write a program that simulates a magic square using three one-dimensional parallel arrays of integer type. Each array corresponds to a row of the magic square. The program will prompt the user to enter the values of the magic square row by row, then informs the user if the grid is a magic square.

For more clarification, refer to the sample outputs.

**Diagram Explanation:**

The provided diagram shows a 3x3 magic square grid with these values:

```
4  9  2
3  5  7
8  1  6
```

Each row, column, and diagonal sums to 15. The arrays sum horizontally and vertically to demonstrate the uniformity required of a magic square.

**Project Specifications:**

**Input:**

- Values of the grid (entered row by row)

**Output:**

- Whether or not the grid is a magic square
- Programmer’s full name
- Project number
- Project due date

By following these guidelines, you can successfully create a program that validates the structure of a magic square.
Transcribed Image Text:**Magic Square Program Instructions** **Objective:** Write a program that simulates a magic square using three one-dimensional parallel arrays of integer type. Each array corresponds to a row of the magic square. The program will prompt the user to enter the values of the magic square row by row, then informs the user if the grid is a magic square. For more clarification, refer to the sample outputs. **Diagram Explanation:** The provided diagram shows a 3x3 magic square grid with these values: ``` 4 9 2 3 5 7 8 1 6 ``` Each row, column, and diagonal sums to 15. The arrays sum horizontally and vertically to demonstrate the uniformity required of a magic square. **Project Specifications:** **Input:** - Values of the grid (entered row by row) **Output:** - Whether or not the grid is a magic square - Programmer’s full name - Project number - Project due date By following these guidelines, you can successfully create a program that validates the structure of a magic square.
**Project Description**

**The Lo Shu Magic Square**

The Lo Shu Magic Square is a grid with 3 rows and 3 columns shown below:

```
4  9  2
3  5  7
8  1  6
```

The Lo Shu Magic Square has the following properties:
- The grid contains the numbers 1 through 9 exactly.
- The sum of each row, each column, and each diagonal all add up to the same number. This is shown below.
Transcribed Image Text:**Project Description** **The Lo Shu Magic Square** The Lo Shu Magic Square is a grid with 3 rows and 3 columns shown below: ``` 4 9 2 3 5 7 8 1 6 ``` The Lo Shu Magic Square has the following properties: - The grid contains the numbers 1 through 9 exactly. - The sum of each row, each column, and each diagonal all add up to the same number. This is shown below.
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