Magic square java program: In the previous article, we have discussed Java Program to Check Whether the Matrix is a Diagonal Matrix or Not
In this article we are going to see how we can check if a matrix is a magic square or not in JAVA language.
Java Program to Check Whether the Matrix is a Magic Square or Not
Magic square program java: A 3*3 Matrix is having 3 rows and 3 columns where this 3*3 represents the dimension of the matrix. Means there are 3*3 i.e. total 9 elements in a 3*3 Matrix.
Let’s understand it in more simpler way.
| A00 A01 A02 |
Matrix A = | A10 A11 A12 |
| A20 A21 A22 | 3*3
Matrix Arepresents a 3*3 matrix.- ‘
A‘ represents the matrix element - ‘
Aij‘ represents the matrix element at it’s matrix position/index. - ‘
i‘ represents the row index - ‘
j‘ represents the column index - Means
A00=Aijwherei=0andj=0,A01=aijwherei=0andj=1and like this. - Here we have started
rowvalue from 0 andcolumnvalue from 0.
Magic square is a matrix of size NxN, containing elements from 1 to N in such arrangements that the sum of rows, columns, diagonals all individually add upto the same number.
Let’s see different ways to check whether a matrix is magic square or not.
Method-1: Java Program to Check Whether the Matrix is a Magic Square or Not By Static Initialization of Array Elements
Approach:
- Initialize and declare one array of size 3×3 with elements.
- Check if the sum of row, col and all diagonals are same.
- If all sum are same then it is said to be a magic square else not.
Program:
public class Matrix
{
//Driver Method
public static void main(String args[])
{
// Initializing the 3X3 matrix i.e. 2D array
int arr[][] = {{1,1,1},{1,1,1},{1,1,1}}, temp[][] = new int[3][3];
int row, col;
System.out.print("The matrix elements are:");
printMatrix(arr);
if(checkMagicSquare(arr))
System.out.println("\nIt is a magic square");
else
System.out.println("\nIt is not a magic square");
}
// Method to print the matrix
static void printMatrix(int arr[][])
{
int row, col;
// Loop to print the elements
for(row=0;row<3;row++)
{
// Used for formatting
System.out.print("\n");
for(col=0;col<3;col++)
{
System.out.print(arr[row][col]+" ");
}
}
System.out.print("\n");
}
//checkMagicSquare() method to check magic square
static boolean checkMagicSquare(int arr[][])
{
// Checks whether the diagonals sum are same or not
int sum1 = 0,sum2=0;
for (int i = 0; i < 3; i++)
{
sum1 += arr[i][i];
sum2 += arr[i][2-i];
}
if(sum1!=sum2)
return false;
// Checks wether the row sum is equal to the column sum
for (int i = 0; i < 3; i++)
{
int rowSum = 0, colSum = 0;
for (int j = 0; j < 3; j++)
{
rowSum += arr[i][j];
colSum += arr[j][i];
}
if (rowSum != colSum || colSum != sum1)
return false;
}
return true;
}
}
Output: The matrix elements are: 1 1 1 1 1 1 1 1 1 It is a magic square
Method-2: Java Program to Check Whether the Matrix is a Magic Square or Not By Dynamic Initialization of Array Elements
Approach:
- Declare one array of size 3×3.
- Use two for loops to input elements.
- Check if the sum of row, col and all diagonals are same.
- If all sum are same then it is said to be a magic square else not.
Program:
import java.util.Scanner;
public class matrix{
public static void main(String args[])
{
//Scanner class to take input
Scanner scan = new Scanner(System.in);
// Initializing the 3X3 matrix i.e. 2D array
int arr[][] = new int[3][3];
int row, col;
// Taking matrix input
System.out.println("Enter matrix elements : ");
for(row=0;row<3;row++)
for(col=0;col<3;col++)
arr[row][col] = scan.nextInt();
System.out.print("The matrix elements are:");
printMatrix(arr);
if(checkMagicSquare(arr))
System.out.println("\nIt is a magic square");
else
System.out.println("\nIt is not a magic square");
}
// Method to print the matrix
static void printMatrix(int arr[][])
{
int row, col;
// Loop to print the elements
for(row=0;row<3;row++)
{
// Used for formatting
System.out.print("\n");
for(col=0;col<3;col++)
{
System.out.print(arr[row][col]+" ");
}
}
System.out.print("\n");
}
//checkMagicSquare() method to check magic square
static boolean checkMagicSquare(int arr[][])
{
// Checks whether the diagonals sum are same or not
int sum1 = 0,sum2=0;
for (int i = 0; i < 3; i++)
{
sum1 += arr[i][i];
sum2 += arr[i][2-i];
}
if(sum1!=sum2)
return false;
// Checks wether the row sum is equal to the column sum
for (int i = 0; i < 3; i++) {
int rowSum = 0, colSum = 0;
for (int j = 0; j < 3; j++)
{
rowSum += arr[i][j];
colSum += arr[j][i];
}
if (rowSum != colSum || colSum != sum1)
return false;
}
return true;
}
}
Output: Enter matrix elements : 1 1 1 1 1 1 1 1 1 The matrix elements are: 1 1 1 1 1 1 1 1 1 It is a magic square
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