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8. Lo Shu Magic Square

8. Lo Shu Magic Square

Computer Networking: A Top-Down Approach (7th Edition)
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**. The Lo Shu Magic Square has the following properties: ![Lo Shu Magic Square](https://example.com/image-name) - 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**. **Figure 7-19 Lo Shu Magic Square** ``` 4 9 2 3 5 7 8 1 6 ``` **Figure 7-20** illustrates the sums: - Row sums: 15 - Column sums: 15 - Diagonal sums: 15 **Instructions**: 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.
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**. The Lo Shu Magic Square has the following properties: ![Lo Shu Magic Square](https://example.com/image-name) - 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**. **Figure 7-19 Lo Shu Magic Square** ``` 4 9 2 3 5 7 8 1 6 ``` **Figure 7-20** illustrates the sums: - Row sums: 15 - Column sums: 15 - Diagonal sums: 15 **Instructions**: 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.
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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