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Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN: 9780133594140
Author: James Kurose, Keith Ross
Publisher: PEARSON
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I need to write the following code taking entera from the user.
![### Java Program to Check a Magic Square
A magic square is an \( N \times N \) matrix where the sums of each row, each column, and the two diagonals add up to \( N(N^2 + 1)/2 \), which is known as the magic number. Each matrix entry is a unique number from 1 to \( N^2 \).
The following outlines the process to create a program that determines if a 4 \(\times\) 4 matrix is a magic square:
1. **Define the Matrix**: Initialize the matrix and generalize the rows and columns using variables entered by the user.
2. **Calculate the Magic Number**: Compute the magic number using the formula \( N(N^2 + 1)/2 \).
3. **Row and Column Sum Calculations**: Implement separate functions to compute the sums of each row and each column. Ensure these sums match the magic number.
4. **Diagonal Sum Calculation**: Create a function to calculate the sums of the diagonals, verifying that these also match the magic number.
5. **Display Results**: The program will output the matrix and a message indicating whether or not it is a magic square.](https://content.bartleby.com/qna-images/question/a738f338-4b97-4795-af96-9c8545b72d67/46d1432f-b170-47bb-8c10-ca3a26073b51/bx81z09_thumbnail.jpeg)
Transcribed Image Text:### Java Program to Check a Magic Square
A magic square is an \( N \times N \) matrix where the sums of each row, each column, and the two diagonals add up to \( N(N^2 + 1)/2 \), which is known as the magic number. Each matrix entry is a unique number from 1 to \( N^2 \).
The following outlines the process to create a program that determines if a 4 \(\times\) 4 matrix is a magic square:
1. **Define the Matrix**: Initialize the matrix and generalize the rows and columns using variables entered by the user.
2. **Calculate the Magic Number**: Compute the magic number using the formula \( N(N^2 + 1)/2 \).
3. **Row and Column Sum Calculations**: Implement separate functions to compute the sums of each row and each column. Ensure these sums match the magic number.
4. **Diagonal Sum Calculation**: Create a function to calculate the sums of the diagonals, verifying that these also match the magic number.
5. **Display Results**: The program will output the matrix and a message indicating whether or not it is a magic square.
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