[Lo Shu Magic Square] The Lo Shu Magic Square is a grid with 3 rows and 3 columns. The Lo Shu Magic Square has the following properties: 1. The grid contains the numbers 1 through 9 exactly. 2. The sum of each row, each column, and each diagonal all add up to the same number. In a program you can simulate a magic square using a two-dimensional array. Write a function that accepts a two-dimensional array as an argument, and determines whetl Lo Shu Magic Square. Test the function in a program. 15 4 9 2 15 3 7 > 15 8 1 6 + 15 15 15 15 15

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I need help with this in C++ please. 

[Lo Shu Magic Square]
The Lo Shu Magic Square is a grid with 3 rows and 3 columns. The Lo Shu Magic Square has the following properties:
1. The grid contains the numbers 1 through 9 exactly.
2. The sum of each row, each column, and each diagonal all add up to the same number.
In a program you can simulate a magic square using a two-dimensional array. Write a function that accepts a two-dimensional array as an argument, and determines whether the array is a
Lo Shu Magic Square. Test the function in a program.
15
4
+15
3
5
7
> 15
8
1
6
+ 15
15
15
15
15
Required function header:
const int COLS = 3;
void showArray(const int array[][COLS], int rows); //display 2-D array content
bool checkLoShuSquare(const int array[][COLS], int rows); // check if the 2-D is a Lo Shu Square
• Hint:
Find the sum of the first row. If the sum of any other row or col != the sum of the first row. return false from the checkLoShuSquare() function
Transcribed Image Text:[Lo Shu Magic Square] The Lo Shu Magic Square is a grid with 3 rows and 3 columns. The Lo Shu Magic Square has the following properties: 1. The grid contains the numbers 1 through 9 exactly. 2. The sum of each row, each column, and each diagonal all add up to the same number. In a program you can simulate a magic square using a two-dimensional array. Write a function that accepts a two-dimensional array as an argument, and determines whether the array is a Lo Shu Magic Square. Test the function in a program. 15 4 +15 3 5 7 > 15 8 1 6 + 15 15 15 15 15 Required function header: const int COLS = 3; void showArray(const int array[][COLS], int rows); //display 2-D array content bool checkLoShuSquare(const int array[][COLS], int rows); // check if the 2-D is a Lo Shu Square • Hint: Find the sum of the first row. If the sum of any other row or col != the sum of the first row. return false from the checkLoShuSquare() function
bool validateArray(const int array[][COLS], int rows)
Write a function to validate the 2D array contains the numbers 1 through 9 exactly
• Sample squares (2D array) for testing purpose:
int LoShu[3][COLS] = {{4, 9, 2}, {3, 5, 7}, {8, 1, 6}};
int square1[3][COLS] = {{1, 2, 3}, {4, 5, 6}, {7, 8, 9}};
int square2[3][COLS] = {{1, 4, 7}, {2, 5, 8}, {3, 6, 9}};
int squareTest[3][COLS] = {0}; // test the extra credit assignment
• Sample output:
**Test the First Square**
4
2
3
7
8
1
6
It is a Lo Shu Magic Square!
**Test the Second Square**
2
4 5
TIT
1
3
6
8
9
It is NOT a Lo Shu Magic Square!
**Test the Last Square**
4
5
8
3
6
9
It is NOT a Lo Shu Magic Square!
**Test the invalid Square**
It is NOT a 3 x 3 array contained the numbers 1~9 exactly.
It is NOT a Lo Shu Magic Square!
Requirements:
1. Use nested for-loop to find the sum of each row and column.
2. DON'T compare each sum == 15. DON'T assume the desired total is 15.
3. Display the programmer info at the beginning of the output
4. Include the function prototypes before the main()
5. All functions definitions should be after the main()
Transcribed Image Text:bool validateArray(const int array[][COLS], int rows) Write a function to validate the 2D array contains the numbers 1 through 9 exactly • Sample squares (2D array) for testing purpose: int LoShu[3][COLS] = {{4, 9, 2}, {3, 5, 7}, {8, 1, 6}}; int square1[3][COLS] = {{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}; int square2[3][COLS] = {{1, 4, 7}, {2, 5, 8}, {3, 6, 9}}; int squareTest[3][COLS] = {0}; // test the extra credit assignment • Sample output: **Test the First Square** 4 2 3 7 8 1 6 It is a Lo Shu Magic Square! **Test the Second Square** 2 4 5 TIT 1 3 6 8 9 It is NOT a Lo Shu Magic Square! **Test the Last Square** 4 5 8 3 6 9 It is NOT a Lo Shu Magic Square! **Test the invalid Square** It is NOT a 3 x 3 array contained the numbers 1~9 exactly. It is NOT a Lo Shu Magic Square! Requirements: 1. Use nested for-loop to find the sum of each row and column. 2. DON'T compare each sum == 15. DON'T assume the desired total is 15. 3. Display the programmer info at the beginning of the output 4. Include the function prototypes before the main() 5. All functions definitions should be after the main()
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