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Write a Java code to randomly generate a 3X3 matrix and check if the matrix is the magic square. In your code you must test two features: a. Does each of the numbers 1,2,3,….9 occur in the matrix? b. Are the sums of the rows, columns, and diagonals equal to each other?

Write a Java code to randomly generate a 3X3 matrix and check if the matrix is the magic square. In your code you must test two features: a. Does each of the numbers 1,2,3,….9 occur in the matrix? b. Are the sums of the rows, columns, and diagonals equal to each other?

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Question 1: Magic Matrix
Magic square is an ? × ? matrix that is filled with the numbers 1,2,3, . . . . . , ?2 is a magic square
if the sum of the elements in each row, in each column, and in the two diagonals is the same
value.
 
6 1 8
7 5 3
2 9 4
 
Write a Java code to randomly generate a 3X3 matrix and check if the matrix is the magic
square. In your code you must test two features:
a. Does each of the numbers 1,2,3,….9 occur in the matrix?
b. Are the sums of the rows, columns, and diagonals equal to each other?
 
Note: to generate a random number use the method
Math.random()
which generates a pseudo random
number greater than or equal to 0 and less than 1.
Sample Output could be as follows:
Sample 1:
The randomly generated matrix is:
4 3 8
9 5 1
2 7 6
 
Sample 2:
The randomly generated matrix is:
4 9 2
3 5 7
8 1 6
 
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