Multiply Two Matrix (User Defined Function) Find Determinant of 2x2 Matrix. By clicking Post Your Answer, you agree to our terms of service, privacy policy and cookie policy. Possible Paths from Top Left to Bottom Right of a Matrix in Java. "public boolean isMagic": Determines whether the matrix illustrates a magic square. Can we prosecute a person who confesses but there is no hard evidence? To subscribe to this RSS feed, copy and paste this URL into your RSS reader. The position of the number 5 is (2 - 1, 0 + 1) = (1, 1), The position of the number 6 is (1 - 1, 1 + 1) = (0, 2), The position of the number 7 is ( 0 - 1, 2 + 1) = (-1, 3) = (0, 3 - 2) = (0, 1), The position of the number 8 is ( 0 - 1, 1 + 1) = (-1, 2) = (3 - 1, 2) = (2, 2), The position of the number 9 is ( 2 - 1, 2 + 1) = (1, 3) = (1, 0). Let's see a few examples of magic squares. called the magic sum. Pairs of eigenvectors that are not multiple of each other. Let us see another example in a different order.9 3 22 16 152 21 20 14 825 19 13 7 118 12 6 5 2411 10 4 23 17This is a 5X5 matrix hence the magic constant will be 5(52+1)/2 = 65. If we represent the sum as M, then M is completely dependent on m. Asking for help, clarification, or responding to other answers. If A and B are magic squares, then A B is a magic square. Speeding software innovation with low-code/no-code tools, Tips and tricks for succeeding as a developer emigrating to Japan (Ep. Rule 3: rev2022.11.15.43034. + 1) / 2 = (7 x (49 + 1)) / 2 = (7 x 50) / 2 = 175, M = 9 x (9 The magic way to solve magic squares is to set the equations that govern each row and column, with unknowns. Therefore, rule number 2 is applied, and we get (1 + 1, 2 - 2) = (2, 0). Property 1. This sum value is called a magic constant. Find centralized, trusted content and collaborate around the technologies you use most. Required fields are marked *. 505). ? Magic squares are the matrices which have equal sum along all rows, columns and diagonals. The time complexity of the above program is O(n For example, we start with the following matrix 5 3 4 1 5 8 6 4 2 We can convert it to the following magic square: 8 3 4 1 5 9 6 7 2 Free Online Web Tutorials and Answers | TopITAnswers, Error in round(n) : non-numeric argument to mathematical function. How to multiply two square matrices: We are given two matrices, A and B, of size 22 (note: tests are not limited to 22). In this program we are going to learn about how to check whether the given matrix is Magic Squre or not using Python. How do I get git to use the cli rather than some GUI application when asking for GPG password? Connect and share knowledge within a single location that is structured and easy to search. , 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. Follow these steps to create a magic square. 9. An example below is a magic square . A Magic Square is a square matrix in which the sum of all its rows, all its columns, and all its diagonals is equal to a single number and this number is called the Magic Constant or Magic Number. Your question is unclear. Place a 1 in the middle of the first row. SQLite - How does Count work without GROUP BY? If condition is true then. In this code, I am going to explain about the Square Matrix Program in Java. document.getElementById("ak_js_1").setAttribute("value",(new Date()).getTime()); Your email address will not be published. Matrix Programs in Java Since we are using two-dimensional arrays to create a matrix, we can easily perform various operations on its elements. Given in the text data file, pseudocode and all files. That's precisely what's happening here, as the logic of the requirement, or at least the code representing it, prevents it. A magic square is a square consisting of numbers. Please help us improve Stack Overflow. In method isMagic() all this part is wrong and redundant, Finally in isMagic() when you calculate the column's sum, the addition is missing. Given a matrix, check whether it's Magic Square or not. @zero298 hi sorry for the confusion. In recreational mathematics and combinatorial design, a magic square is a n x n square grid (where n is the number of cells on each side) filled with distinct positive integers in the range 1 . Why do paratroopers not get sucked out of their aircraft when the bay door opens? To learn more, see our tips on writing great answers. Proof. When the migration is complete, you will access your Teams at stackoverflowteams.com, and they will no longer appear in the left sidebar on stackoverflow.com. Similarly, the sum of each diagonal is also 15 hence the given matrix is a magic square. For example, here is a magic square for the case n = 4 with a magic sum of 34: Online Classes Message me on Instagram https://www.instagram.com/computer__revival/?hl=en. Why do my countertops need to be "kosher"? n (n2+ 1)/2 Here are the rules to construct a magic square A bit of Theory: Magic squares are divided into three major categories depending upon order of square. Why Join Become a member Login C# Corner. Magic square (matrix) generated randomly in Java. A magic square is one where the sum of each row, column, and diagonal is the same. Rule 2: If at the computed position, a number is already present in the magic square, then the computed position of the column is decreased by 2, and the computed position of the row is increased by 1. @Chris311 it's probably a field of his class since his code appears to be compiling. Not the answer you're looking for? However, the position of (1, 2) is already occupied by the number 1. A magic square of the order n has the numbers from 1 to m Please let me know if you see something wrong, much appreciated. The time complexity of the above program is O(n + 1) / 2 = (3 x (9 + 1)) / 2 = (3 x 10) / 2 = 15, M = 5 x (5 Magic Matrix Square. /****************************************************************************** * Execution: java MagicSquare n * * Generates a magic square of order n. Removing 3.4 will probably fix your code. We can convert any digit a to any other digit b in the range [1,9] at cost of |a-b|. Join Telegra. Then we will add, subtract, and multiply two matrices and print the result matrix on the console. Calculate difference between dates in hours with closest conditioned rows per group in R. t-test where one sample has zero variance? A magic square contains the integers from 1 to n^2. + 1) / 2 = (5 x (25 + 1)) / 2 = (5 x 26) / 2 = 130 / 2 = 65, M = 7 x (7 By clicking Post Your Answer, you agree to our terms of service, privacy policy and cookie policy. You're actually writing the value 2 to the second row, third column. Since the 33 magic square is small in the number of numbers that appear in it, we can easily establish some special properties. In this program we calculated row sum, column sum and diagonal sum of distinct elements of the given matrix. Odd Magic Squares Question. Time Complexity: Copyright 2011-2021 www.javatpoint.com. We define a magic square to be an matrix of distinct positive integers from to where the sum of any row, column, or diagonal of length is always equal to the same number: the magic constant. Thanks for contributing an answer to Stack Overflow! How do I efficiently iterate over each entry in a Java Map? The requirements are that I need all the methods. A Magic Square is a n x n matrix of the distinct elements from 1 to n 2 where the sum of any row, column, or diagonal is always equal to the same number. . The Main Diagonal of a Square Matrix. Basic question: Is it safe to connect the ground (or minus) of two different (types) of power sources. In this code, I am going to explain about the Square Matrix Program in Java. A magic square is a square matrix in which the sum of every row, every column, and both diagonals is the same. Rule 1: At any position, the position of the next number is computed by decreasing the row number of the previously filled number by 1 and increasing the column number of the previously filled number by 1. Let's see a few examples of magic squares. Let's discuss the ideas which will help us in writing the rules for filling the magic square. If the computed position of the row is -1 & the computed position of the column is m, then the new position will be: (0, m - 2). cs java. How do I read / convert an InputStream into a String in Java? Example : 4,8,12,16,.. (4*n) 3) Singly-even order Magic Square. The problem I'm having is that whenever I input any value into the square matrix, it returns saying that it is a magic square when it shouldn't. Continue with Recommended Cookies. Another way to construct the lo-shu magic square is given in the following illustration. The above square matrix is of order 3, containing 9 elements. Rule 3: If the computed position of the row is -1 & the computed position of the column is m, then the new position will be: (0, m - 2). 505). If you haven't heard about it before, the 3x3 magic square is a matrix where the sum of every number in an edge or a diagonal equals to 15 (the magic number). 2. Tolkien a fan of the original Star Trek series? 1) Java Program to Print 33 Matrix :- Write a Java program to display a 33 matrix. Speeding software innovation with low-code/no-code tools, Tips and tricks for succeeding as a developer emigrating to Japan (Ep. JAVA TASK: Create Java application capable of solving a 33 square filled with digits in order to determine if it is a magic square. Scan the square matrix and test/set the corresponding element in the array, if already set return false. The position of the number 1 is (3 / 2, 3 - 1) = (1, 2), The position of the number 2 is (1 - 1, 2 + 1) = (0, 3) = (0, 0) [3 is wrapped around to 0], The position of the number 3 is (0 - 1, 0 + 1) = (-1, 1) = (3 - 1, 1) = (2, 1). A Magic Square is a n x n matrix of distinct element from 1 to n 2 where sum of any row, column or diagonal is always equal to same number. Setting n = 3 gets me the following output which seems correct. The only number that can appear in the center of the 33 magic square is 5. Write a program that reads in 16 values from the keyboard, displays them in a 4 x 4 array, and tests whether they form a magic . 2 What's the effect of having more than one scrap recovery arm? Recall that a magic square is a 2-dimensional square array with n rows and n columns where each row, col, and diagonal add up to the same value. + 1) / 2 = (9 x (81 + 1)) / 2 = (9 x 82) / 2 = 369. Is Java "pass-by-reference" or "pass-by-value"? Rule 2: Output: However, the position of (1, 2) is already occupied by the number 1. What are the differences between a HashMap and a Hashtable in Java? Program needs to exercise with usagesof Java's array [url removed, login to view] determine if a two-dimensional array is a magic square. The constraints being that the unknowns are all different positive integers (distinct including numbers already placed). a. ., n2 Conditions: 1.Are the numbers 1, 2, ., 16 the input. For m = 11, we have a magic square of 11 x 11, where each row, column, and diagonal have the value of 671. If these sums are equal then print given matrix is magic square otherwise it is not a magic square matrix. The columns. Lambda to function using generalized capture impossible? How do I convert a String to an int in Java? Such that sum of all the rows, columns, and diagonals are equal. Making statements based on opinion; back them up with references or personal experience. A magic square is a square consisting of numbers. Is it possible to stretch your triceps without stopping or riding hands-free? This means: The user entered n^2 numbers for some number n, The numbers are only between 1 and n^2, inclusive, Each of the numbers occurs exactly once in the matrix, The sums of the elements in each row, column, and the two diagonals are equal. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. Why did The Bahamas vote in favour of Russia on the UN resolution for Ukraine reparations? 1,1,5,5. Let A = [a i j] and B = [b i j] be magic squares of degree m, n respectively, and A B = [ i j] be a square matrix of degree m n. We first claim that the value p = 1 m n j p is independent of j = 1, , m n. Let n + 1 j ( + 1) n. 2 A magic square of order n is an arrangement of n^2 numbers, usually distinct integers, in a square, such that the n numbers in all rows, all columns, and both diagonals sum to the same constant. Now let us see a Java program to generate a magic square of the given order. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. So it's not being equal and is returning true for magic instead. For example, if I put in the number 3 as the odd number, my output is: 0 isn't supposed to be there but the number two is. Given a string of length L. The task is to convert the string into a grid. A matrix element or entry is a number that appears in a matrix. Sum of Minor Diagonal = 15. If at the computed position, a number is already present in the magic square, then the computed position of the column is decreased by 2, and the computed position of the row is increased by 1. (1 and m The position of the number 1 is (3 / 2, 3 - 1) = (1, 2), The position of the number 2 is (1 - 1, 2 + 1) = (0, 3) = (0, 0) [3 is wrapped around to 0], The position of the number 3 is (0 - 1, 0 + 1) = (-1, 1) = (3 - 1, 1) = (2, 1). Tolkien a fan of the original Star Trek series? Java Magic Square 2d Array | A magic square is a matrix that has a different integer, the sum of a number in every row, column, and diagonally is the same. Your task is to write a program that reads the order of a magic square, and then reads n2 additional numbers (in row major order) into a two-dimensional nxn array. How do I generate random integers within a specific range in Java? Java Program: Magic square is an matrix that is filled with the numbers 1,2,3, . inclusive) in such a way that the sum of all the numbers present in a row is equal to the sum of all the numbers present in a column, which in turn is equal to the sum of all the numbers present in a diagonal. To subscribe to this RSS feed, copy and paste this URL into your RSS reader. 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. The idea is to generate magic square 3x3 (rows and columns and dia. User should be able to access such functionality as: filling the square with numeric values, checking the values in the current square, and checking the current square for being a magic square. 2+2+6=10 sum of digits is 10 then again 1+0=1 now we get a single digit . You don't actually need that line that sets the column to n - 1 as it's already n - 1 by definition of the logic above it. A magic square contains the integers from 1 to n 2 . Site design / logo 2022 Stack Exchange Inc; user contributions licensed under CC BY-SA. Adding Two Matrix If these sums are equal then print given matrix is magic square otherwise it is not a magic square matrix. If not possible, follow these steps. Looking for GF(16), GF(32) GF (256) tables, Beginner PyTorch - RuntimeError: shape '[16, 400]' is invalid for input of size 9600, Please explain these commands in the code, Uncaught SyntaxError: Unexpected end of JSON input at JSON.parse (<anonymous>), How to make a number generator on loops and limit each repetition to a maximum of 100, so that the number of numbers generated is 100 numbers. 2 The formula to find the magic constant is M = n [ (n^2+1) / 2] Where, n = is the order of the matrix. When the migration is complete, you will access your Teams at stackoverflowteams.com, and they will no longer appear in the left sidebar on stackoverflow.com. One thing we know for sure is that every number from 1 to m2 comes in the magic square. Do you want to share more information about the topic discussed above or do you find anything incorrect? For example, This is a magic square as you can see all the sums are equal to 15 along all the rows and columns and even the diagonals. Stack Overflow for Teams is moving to its own domain! At any point of time, if the calculated position of the row becomes -1, then we will wrap it around to m - 1. Magic number is very similar with Happy Number. Create an n by n array. The order of the magic square is the number of integers along one side (n), and the constant sum is called the magic constant.If the array includes just the positive integers ,,.,, the magic . Manage Settings For m = 9, we have a magic square of 9 x 9, where each row, column, and diagonal have a value of 369. //sum is the sum of the diagonal. Is there a penalty to leaving the hood up for the Cloak of Elvenkind magic item? The position of the number 4 is (2 - 1, 1 + 1) = (1, 2). How to connect the usage of the path integral in QFT to the usage in Quantum Mechanics? At any time, if the calculated row position becomes -1, it will wrap around to n-1. A magic square of the order n has the numbers from 1 to m 2 (1 and m 2 inclusive) in such a way that the sum of all the numbers present in a row is equal to the sum of all the numbers present in a column, which in turn is equal to the sum of all the numbers present in a diagonal. A square with numbers is referred to as a magic square. We will put the number 1 at the location (m / 2, m - 1), and then from there, we will consider each row and column as circular and hence will wrap around. SQLite - How does Count work without GROUP BY? You will be given a 3x3 matrix as input. Was J.R.R. Design Is it possible to stretch your triceps without stopping or riding hands-free? You will be given a matrix of integers in the inclusive range . How do I declare and initialize an array in Java? The number n is called the order of the magic square. Example : 6,10,14,18,.. (4*n +2) Therefore, rule number 2 is applied, and we get (1 + 1, 2 - 2) = (2, 0). In this program we are going to learn about how to check whether the given matrix is Magic Squre or not using PHP. 2 @Chris311 It is in the program I just didn't include it here. What are the exact problems that you are having? When to use LinkedList over ArrayList in Java? Now, let's take a look at the code. How many concentration saving throws does a spellcaster moving through Spike Growth need to make? 5 Ways to Connect Wireless Headphones to TV. rev2022.11.15.43034. Suppose we try the other numbers. The formula to find the magic constant is M = n[(n^2+1) / 2]Where, n = is the order of the matrix. I hope to continue to get better at these challenging problems and improve m. I have changed different indices values and the program returns false .It seems to work just fine. C Program To Generate Magic Square Matrix using Functions If you would like to change your settings or withdraw consent at any time, the link to do so is in our privacy policy accessible from our home page. M = 3 x (32+ 1) / 2 = (3 x (9 + 1)) / 2 = (3 x 10) / 2 = 15, M = 5 x (52+ 1) / 2 = (5 x (25 + 1)) / 2 = (5 x 26) / 2 = 130 / 2 = 65, M = 7 x (72+ 1) / 2 = (7 x (49 + 1)) / 2 = (7 x 50) / 2 = 175, M = 9 x (92+ 1) / 2 = (9 x (81 + 1)) / 2 = (9 x 82) / 2 = 369. When to use LinkedList over ArrayList in Java? For m = 11, we have a magic square of 11 x 11, where each row, column, and diagonal have the value of 671. ), where n is the total number of rows or columns present in the square matrix. Forming a Magic Square - Hacker Rank Solution Problem: We define a magic square to be an matrix of distinct positive integers from to where the sum of any row, column, or diagonal of length is always equal to the same number: the magic constant. In the third . Does picking feats from a multiclass archetype work the same way as if they were from the "Other" section? The sum of each row or each column or each diagonal can be found using this formula. Let's take an example for a better understanding. Java Magic Square 2d Array | A magic square is a matrix that has a different integer, the sum of a number in every row, column, and diagonally is the same. Asking for help, clarification, or responding to other answers. Write a Java program to generate a magic square of order n (all row, column, and diagonal sums are equal). Thank you! PROGRAM: Python program for magic square operation def generateSquare(n): # slots set to 0 magicSquare = [ [0 for x in range(n)] for y in range(n)] # initialize position of 1 i = n / 2 j = n - 1 num = 1 while num <= (n * n): if i == -1 and j == n: # 3rd condition j = n - 2 i = 0 else: # next number goes out of Which one of these transformer RMS equations is correct? Assign the value K which is a column value. If possible place the next number at that position. Add the unused numbers to the open boxes in the magic square so that the rows, columns, and diagonals add up to 15. That doesn't make sense because array is 2D so array[I] and Array[j] are 1D arrays. If you output the values of your array after each iteration of your program, then you'll see how the state of your model is changing. "public void add(int i, int row, int col)": Adds an integer to the matrix at the specified location. Confusion Matrix for Multiple Classes in Python, Formula(s) for sharing multiple golden geese. Contribute to feriva22/Magic-Matrix development by creating an account on GitHub. 2) Read row,column numbers of matrix1, matrix2 and check column number of matrix1= row number of matrix2. Set all primary diagonal elements to 1 and rest to 0. Creating a magic square (Java), Magic Square program help in Java. Only square matrices will be given. Shifted the bracked left, could you try again with the edited version? What is the difference between a 700x28c and a 700x32c and a 700x..c and so on? We will put the number 1 at the location (m / 2, m - 1), and then from there, we will consider each row and column as circular and hence will wrap around. . The logic of your square ensures that the top right corner is never written to. T. What's the simplest way to print a Java array? 2. How many whole numbers are there between 27 and 46? You will be given a 3 x 3 matrix s of integers in the inclusive range [1, 9]. String Examples. a magic square is a square array of numbers consisting of the distinct positive integers 1, 2, ., arranged such that the sum of the numbers in any horizontal, vertical, or main diagonal line is always the same number (kraitchik 1942, p. 142; andrews 1960, p. 1; gardner 1961, p. 130; madachy 1979, p. 84; benson and jacoby 1981, p. 3; ball and A magic square is a square consisting of numbers. Sum of Columns = 15. MagicSquare.java Below is the syntax highlighted version of MagicSquare.java from 1.4 Arrays . How to incorporate characters backstories into campaigns storyline in a way thats meaningful but without making them dominate the plot? 6,6,0,0. Observe the below examples of Java magic square 2d array:-. 4. Magic Square is the matrix of n*n having distinct positive integer in the range [1,n^2]. Magic squares. At any point of time, if the calculated position of the row becomes -1, then we will wrap it around to m - 1. We can convert any digit to any other digit in the range at cost of . Proof. Print the matrix. Learning to sing a song: sheet music vs. by ear, Remove symbols from text with field calculator, Gate resistor necessary and value calculation. Thanks. What is the difference between public, protected, package-private and private in Java? An n x n matrix that is filled with the numbers 1, 2, 3, ., n2 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. It is then later overwritten by the value 5. Can we connect two of the same plural nouns with a preposition? . Here is the code The sum of each row and column is 15. Space Complexity: C programming. Re: Java check magic square. In this way, you can check if a matrix is a magic square matrix or not in C++. . You should they come with debuggers, which allow you to execute your code line by line, and after each line you can see what variables have what values. Enter the length of row of the matrix: 3 Enter the length of column of the matrix: 3 Input the element of matrix: 8 1 6 3 5 7 4 9 2 The matrix is Magic Square. 2 Mail us on [emailprotected], to get more information about given services. Program: import java.util.Scanner; public class matrix { All rights reserved. Let us know in the comments. You will be given a matrix of integers in the inclusive range . How do I generate random integers within a specific range in Java? If we represent the sum as M, then M is completely dependent on m. Mathematically M has the following value. This algorithm is for computer science students for their ISC question paper. How do I get git to use the cli rather than some GUI application when asking for GPG password? If you want to know something more about Magic Square. This was made in our university classes. Program in C to read square matrix of order n, find average of elements and then replace each element by 1 if it is greater than average otherwise replace by 0. "public boolean allInRange": Determines whether all values in the matrix are in the proper range, "public boolean allUnique": Determines whether all values in the matrix appear only once. Given S, convert it into a magic square at a minimal cost. How to monitor the progress of LinearSolve? These are the characteristics for writing the code: I've written the code but when I run it, the program puts in all the numbers except for the number two; for some reason, my program skips over it. In recreational mathematics, a square array of numbers, usually positive integers, is called a magic square if the sums of the numbers in each row, each column, and both main diagonals are the same. Whenever I try to input any values, the results always turn out as true and that the square matrix is a magic square. Declare and instantiate an 2D array with the specified size. We and our partners use cookies to Store and/or access information on a device. If blocked, then drop down to next row (from original position). The magic square is a square matrix, whose order is odd and where the sum of the elements for each row or each column or each diagonal is same. Surface Studio vs iMac - Which Should You Pick? Post. In this tutorial, we will learn how to create a matrix from user input. The 2 gets written to 2nd row, 3rd column, but is later overwritten by 5. Example: The magic square of magic value X X Some of our partners may process your data as a part of their legitimate business interest without asking for consent. Browse other questions tagged, Where developers & technologists share private knowledge with coworkers, Reach developers & technologists worldwide. If we represent the sum as M, then M is completely dependent on m. Mathematically M has the following value. Read the problem, try it yourself, and then check the solution. How to subset a list based on its elements, Python: Audio segmentation with overlapping and hamming windows, Csharp c foreach object array code example, Check frequency pandas in python code example, Javascript mysql json to data code example, Java convert hashset to arraylist code example, Swift initializaing arrays in swift code example, Javascript on submit in jquery code example, React pass parameters to parent code example, Css animated gradient color css code example, Heroku set variables default app code example, Python python append multiple arguments code example, Ajax request to refresh page code example, How does the mapreduce sort algorithm work, Javascript es6 check if array code example, Java field name convention java code example, Convert a String into a square matrix grid of characters. . Posted 13 November 2009 - 04:58 PM. Given a matrix and the task is to find the square of each element in the given matrix in Python. Follow these steps to create a magic square. An example of data being processed may be a unique identifier stored in a cookie. FileName: To print or display a 33 matrix you can use nested loops, it can be either for loop, for-each loop, while loop, or do-while loop. An Article; A Blog; A News; A Video; An EBook; An Interview Question; Ask Question . How many positive integers less than or equal to $500$ have exactly $3$ positive divisors? the code adds up the first diagonal. How do I determine whether an array contains a particular value in Java? 2 In this program we calculated row sum, column sum and diagonal sum of distinct elements of the given matrix. The position of the next number is calculated by incrementing the column number of the previous number by 1 and decrementing the row number of previous number by 1. Space Complexity: The space complexity of the above program is O(n2), where n is the total number of rows or columns present in the square matrix. Similarly, if the calculated position of the column becomes m, then we will wrap it around to 0. Is the portrayal of people of color in Enola Holmes movies historically accurate? Example: 3,5,7, (2*n +1) 2) Doubly-even order Magic Square. Would drinking normal saline help with hydration? One thing we know for sure is that every number from 1 to m first of all there are two diagonals in a matrix. Algorithm to solve a n*n magic square: 1. See all rows', columns' and diagonal's sum is same. a) Insert the elements at matrix1 using two for loops: for ( i= 0 ; i < r1 ; i++ ) Example: Above is the matrix which contains 5 rows and 4 columns and having elements from . Errors that I could find by visual inspection: allUnique() is completely wrong, you have to check if each number occurs only once in the matrix, but you are comparing row arrays that is something totally different, the best way to check unicity would be normally to use an hashset, but since here you have a very defined range of numbers (from 1 to n2), then use any array of n2 booleans. How do I read / convert an InputStream into a String in Java? A magic square of the order n has the numbers from 1 to m2 (1 and m2 inclusive) in such a way that the sum of all the numbers present in a row is equal to the sum of all the numbers present in a column, which in turn is equal to the sum of all the numbers present in a diagonal.
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