C#: Determine whether a matrix is a sparse matrix

Last update on December 20 2024 12:36:41 (UTC/GMT +8 hours)

Write a C# Sharp program to accept a matrix and determine whether it is a sparse matrix.

Sample Solution:-

C# Sharp Code:

using System;

public class Exercise29  
{  
    public static void Main()
    {
        // Declaration of variables for matrix manipulation
        int[,] arr1 = new int[10, 10]; // Declare a 10x10 integer matrix
        int i, j, r, c; // Variables for iteration and matrix dimensions
        int ctr = 0; // Counter for the number of zero elements in the matrix

        // User input for matrix dimensions
        Console.Write("\n\nDetermine whether a matrix is a sparse matrix :\n ");
        Console.Write("----------------------------------------------------\n");	
        Console.Write("Input the number of rows of the matrix : ");
        r = Convert.ToInt32(Console.ReadLine()); // Read number of rows from user
        Console.Write("Input the number of columns of the matrix : ");
        c = Convert.ToInt32(Console.ReadLine()); // Read number of columns from user
        Console.Write("Input elements in the matrix :\n");

        // User input for matrix elements and checking for zeros
        for (i = 0; i < r; i++) // Loop through rows
        {
            for (j = 0; j < c; j++) // Loop through columns
            {
                // Prompt user to enter matrix element
                Console.Write("element - [{0}],[{1}] : ", i, j);
                arr1[i, j] = Convert.ToInt32(Console.ReadLine()); // Read user input and store in the matrix

                // Check if the entered element is zero
                if (arr1[i, j] == 0)
                {
                    ++ctr; // Increment the counter if the element is zero
                }
            }
        }  

        // Check if the number of zeros is greater than half the total elements in the matrix
        if (ctr > ((r * c) / 2))
        {
            Console.Write("The given matrix is a sparse matrix. \n"); // Display message if matrix is sparse
        }
        else
        {
            Console.Write("The given matrix is not a sparse matrix.\n"); // Display message if matrix is not sparse
        }

        // Display the number of zeros in the matrix
        Console.Write("There are {0} number of zeros in the matrix.\n\n", ctr);
    }
}

Sample Output:

Determine whether a matrix is a sparse matrix :                                                               
 ----------------------------------------------------                                                         
Input the number of rows of the matrix : 2                                                                    
Input the number of columns of the matrix : 2                                                                 
Input elements in the first matrix :                                                                          
element - [0],[0] : 0                                                                                         
element - [0],[1] : 1                                                                                         
element - [1],[0] : 0                                                                                         
element - [1],[1] : 0                                                                                         
The given matrix is sparse matrix.                                                                            
There are 3 number of zeros in the matrix.

Flowchart:

C# Sharp Code Editor:

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