8. Lo Shu Magic Square
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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![8. Lo Shu Magic Square
The Lo Shu Magic Square is a grid with 3 rows and 3 columns shown in Figure 7-19 Q. The Lo Shu Magic Square has the following properties:
Figure 7-19 Lo Shu Magic Square
4
2
3
7
1
• 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 in Figure 7-20 Q.
Figure 7-20 Sums of the rows, columns, and diagonals
15
4
9.
15
3
7
+ 15
1
6
+ 15
15
15
15
15
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F88ce7fe7-6055-4d88-a2fe-fb962619b6d1%2F5f6c9abc-7abd-4504-b532-351f8a74337f%2Fxdi5avf_processed.png&w=3840&q=75)
Transcribed Image Text:8. Lo Shu Magic Square
The Lo Shu Magic Square is a grid with 3 rows and 3 columns shown in Figure 7-19 Q. The Lo Shu Magic Square has the following properties:
Figure 7-19 Lo Shu Magic Square
4
2
3
7
1
• 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 in Figure 7-20 Q.
Figure 7-20 Sums of the rows, columns, and diagonals
15
4
9.
15
3
7
+ 15
1
6
+ 15
15
15
15
15
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.
![1. The functions must be in their own file, the header file must contain all prototypes, constants, includes and "using
namespace std;". The main file should only have a simple main() function.
2. Rather than “hard-coding" the array data in your code, you should read the contents of the array from a file. Name
the input file square.txt, and manually populate it with data for testing your program.
3. Make sure that you verify that your program correctly handles both scenarios (numbers representing a magic
square, and a different set of numbers that are not a magic square). Your file only needs to contain one square of
numbers; just change the numbers and rerun the program to test both scenarios.
4. Your program may assume that you read 3 rows of data, each with 3 numbers. You do not need to validate the
data.
5. You must divide the program into functions. Part of your grade will depend on how well your code is
structured/divided into meaningful functions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F88ce7fe7-6055-4d88-a2fe-fb962619b6d1%2F5f6c9abc-7abd-4504-b532-351f8a74337f%2Fsyjoibp_processed.png&w=3840&q=75)
Transcribed Image Text:1. The functions must be in their own file, the header file must contain all prototypes, constants, includes and "using
namespace std;". The main file should only have a simple main() function.
2. Rather than “hard-coding" the array data in your code, you should read the contents of the array from a file. Name
the input file square.txt, and manually populate it with data for testing your program.
3. Make sure that you verify that your program correctly handles both scenarios (numbers representing a magic
square, and a different set of numbers that are not a magic square). Your file only needs to contain one square of
numbers; just change the numbers and rerun the program to test both scenarios.
4. Your program may assume that you read 3 rows of data, each with 3 numbers. You do not need to validate the
data.
5. You must divide the program into functions. Part of your grade will depend on how well your code is
structured/divided into meaningful functions.
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