C++ programming Chapter(s) Covered: Chapter 1-8 Concepts tested by the program: Working with one dimensional parallel arrays Use of functions Use of loops and conditional statements Project Description The Lo Shu Magic Square is a grid with 3 rows and 3 columnsshown below. The Lo Shu Magic Square has the following properties: The grid contains the numbers 1 – 9 exactly. Each number 1 – 9must not be used more than once. So, if you were to add up thenumbers used, The sum of each row, each column and each diagonal all add upto the same number, Write a program that simulates a magic square using 3 onedimensional parallel arrays of integer type. Each one the arrays corresponds to a row of the magicsquare. The program asks the user to enter the values of the magicsquare row by row and informs the user if the grid is a magicsquare or not. See the sample outputs for more clarification. 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, check screenshot for further Use the following template to start your project: #include using namespace std; // Global constants const int ROWS = 3; const int COLS = 3; const int MIN = 1; const int MAX = 9; bool isMagicSquare(int arrayRow1[], int arrayRow2[], intarrayRow3[], int size); bool checkRange(int arrayRow1[], int arrayRow2[], intarrayRow3[], int size, int min, int max); bool checkUnique(int arrayRow1[], int arrayRow2[], intarrayRow3[], int size); bool checkRowSum(int arrayrow1[], int arrayrow2[], intarrayrow3[], int size); bool checkColSum(int arrayrow1[], int arrayrow2[], intarrayrow3[], int size); bool checkDiagSum(int arrayrow1[], int arrayrow2[], intarrayrow3[], int size); void fillArray(int arrayRow1[], int arrayRow2[], intarrayRow3[], int size); void showArray(int arrayrow1[], int arrayrow2[], intarrayrow3[], int size); int main() { /* Define a Lo Shu Magic Square using 3 parallel arrayscorresponding to each row of the grid */ int magicArrayRow1[COLS], magicArrayRow2[COLS], magicArrayRow3[COLS]; // Your code goes here return 0; } // Function definitions go here Create and use following functions: void fillArray(int arrayrow1[], int arrayrow2[], intarrayrow3[], int size) - Accepts 3 int arrays and a sizeas arguments and fills the arrays out with values entered by theuser. First argument corresponds to the first row of the magicsquare, second argument to the second row and the third argument tothe third row of the magic square void showArray(int arrayRow1[], int arrayRow2[], intarrayRow3[], int size) - accepts 3 int arrays and a sizeas arguments and displays their content. bool isMagicSquare(int arrayRow1[], int arrayRow2[],int arrayRow3[], int size) - accepts 3 int arrays and asize as arguments and returns true if all the requirements of amagic square are met. Otherwise, it returns false. First argumentcorresponds to the first row of the magic square, second argumentto the second row and the third argument to the third row of themagic square. bool checkRange(int arrayRow1[], int arrayRow2[], intarrayRow3[], int size, int min, int max) - accepts 3 intarrays, a size and a min and max value as arguments and returnstrue if the values in the arrays are within the specified range minand max. Otherwise, it returns false. First argument corresponds tothe first row of the magic square, second argument to the secondrow and the third argument to the third row of the magicsquare. bool checkUnique(int arrayRow1[], int arrayRow2[], intarrayRow3[], int size) - accepts 3 int arrays and a sizeas arguments and returns true if the values in the arrays areunique (only one occurrence of numbers between 1-9). Otherwise, itreturns false. First argument corresponds to the first row of themagic square, second argument to the second row and the thirdargument to the third row of the magic square. bool checkRowSum(int arrayRow1[], int arrayRow2[], intarrayRow3[], int size) - accepts 3 int arrays and a sizeas arguments and returns true if the sum of the values in each ofthe rows are equal. Otherwise, it returns false. First argumentcorresponds to the first row of the magic square, second argumentto the second row and the third argument to the third row of themagic square. bool checkColSum(int arrayRow1[], int arrayRow2[], intarrayRow3[], int size) - accepts 3 int arrays and a sizeas arguments and returns true if the sum of the values in each ofthe columns are equal. Otherwise, it returns false. First argumentcorresponds to the first row of the magic square, second argumentto the second row and the third argument to the third row of themagic square. bool checkDiagSum(int arrayrow1[], int arrayrow2[], intarrayrow3[], int size) - accepts 3 int arrays and a sizeas arguments and returns true if the sum of the values in each ofthe array's diagonals are equal. Otherwise, it returns false. Firstargument corresponds to the first row of the magic square, secondargument to the second row and the third argument to the third rowof the magic square.
C++ programming
Chapter(s) Covered:
- Chapter 1-8
Concepts tested by the program:
- Working with one dimensional parallel arrays
- Use of functions
- Use of loops and conditional statements
Project Description
The Lo Shu Magic Square is a grid with 3 rows and 3 columnsshown below.
The Lo Shu Magic Square has the following properties:
- The grid contains the numbers 1 – 9 exactly. Each number 1 – 9must not be used more than once. So, if you were to add up thenumbers used,
- The sum of each row, each column and each diagonal all add upto the same number,
Write a program that simulates a magic square using 3 onedimensional parallel arrays of integer type.
Each one the arrays corresponds to a row of the magicsquare.
The program asks the user to enter the values of the magicsquare row by row and informs the user if the grid is a magicsquare or not.
See the sample outputs for more clarification.
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, check screenshot for further
Use the following template to start your project:
#include
using namespace std;
// Global constants
const int ROWS = 3;
const int COLS = 3;
const int MIN = 1;
const int MAX = 9;
bool isMagicSquare(int arrayRow1[], int arrayRow2[], intarrayRow3[], int size);
bool checkRange(int arrayRow1[], int arrayRow2[], intarrayRow3[], int size, int min, int max);
bool checkUnique(int arrayRow1[], int arrayRow2[], intarrayRow3[], int size);
bool checkRowSum(int arrayrow1[], int arrayrow2[], intarrayrow3[], int size);
bool checkColSum(int arrayrow1[], int arrayrow2[], intarrayrow3[], int size);
bool checkDiagSum(int arrayrow1[], int arrayrow2[], intarrayrow3[], int size);
void fillArray(int arrayRow1[], int arrayRow2[], intarrayRow3[], int size);
void showArray(int arrayrow1[], int arrayrow2[], intarrayrow3[], int size);
int main()
{
/* Define a Lo Shu Magic Square using 3 parallel arrayscorresponding to each row of the grid */
int magicArrayRow1[COLS],
magicArrayRow2[COLS],
magicArrayRow3[COLS];
// Your code goes here
return 0;
}
// Function definitions go here
Create and use following functions:
- void fillArray(int arrayrow1[], int arrayrow2[], intarrayrow3[], int size) - Accepts 3 int arrays and a sizeas arguments and fills the arrays out with values entered by theuser. First argument corresponds to the first row of the magicsquare, second argument to the second row and the third argument tothe third row of the magic square
- void showArray(int arrayRow1[], int arrayRow2[], intarrayRow3[], int size) - accepts 3 int arrays and a sizeas arguments and displays their content.
- bool isMagicSquare(int arrayRow1[], int arrayRow2[],int arrayRow3[], int size) - accepts 3 int arrays and asize as arguments and returns true if all the requirements of amagic square are met. Otherwise, it returns false. First argumentcorresponds to the first row of the magic square, second argumentto the second row and the third argument to the third row of themagic square.
- bool checkRange(int arrayRow1[], int arrayRow2[], intarrayRow3[], int size, int min, int max) - accepts 3 intarrays, a size and a min and max value as arguments and returnstrue if the values in the arrays are within the specified range minand max. Otherwise, it returns false. First argument corresponds tothe first row of the magic square, second argument to the secondrow and the third argument to the third row of the magicsquare.
- bool checkUnique(int arrayRow1[], int arrayRow2[], intarrayRow3[], int size) - accepts 3 int arrays and a sizeas arguments and returns true if the values in the arrays areunique (only one occurrence of numbers between 1-9). Otherwise, itreturns false. First argument corresponds to the first row of themagic square, second argument to the second row and the thirdargument to the third row of the magic square.
- bool checkRowSum(int arrayRow1[], int arrayRow2[], intarrayRow3[], int size) - accepts 3 int arrays and a sizeas arguments and returns true if the sum of the values in each ofthe rows are equal. Otherwise, it returns false. First argumentcorresponds to the first row of the magic square, second argumentto the second row and the third argument to the third row of themagic square.
- bool checkColSum(int arrayRow1[], int arrayRow2[], intarrayRow3[], int size) - accepts 3 int arrays and a sizeas arguments and returns true if the sum of the values in each ofthe columns are equal. Otherwise, it returns false. First argumentcorresponds to the first row of the magic square, second argumentto the second row and the third argument to the third row of themagic square.
- bool checkDiagSum(int arrayrow1[], int arrayrow2[], intarrayrow3[], int size) - accepts 3 int arrays and a sizeas arguments and returns true if the sum of the values in each ofthe array's diagonals are equal. Otherwise, it returns false. Firstargument corresponds to the first row of the magic square, secondargument to the second row and the third argument to the third rowof the magic square.
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