C program to check sparse matrix

Write a C program to read elements in a matrix and check whether matrix is Sparse matrix or not. C program for determining sparse matrix. How to check sparse matrix in C. Logic to check sparse matrix in C programming.

Example

Input

Input elements in matrix: 
1 0 3
0 0 4
6 0 0

Output

The given matrix is Sparse matrix

Required knowledge

Basic C programming, Fop loop, Array

What is Sparse matrix?

Sparse matrix is a special matrix with most of its elements are zero. We can also assume that if (m * n) / 2 elements are zero then it is a sparse matrix.

Logic to check sparse matrix

To check whether a matrix is sparse matrix we only need to check the total number of elements that are equal to zero. The matrix is sparse matrix if T ≥ ((m * n) / 2 ); where T defines total number of zero elements.

Sparse matrix

Program to check sparse matrix

/**
 * C program to check sparse matrix
 */

#include <stdio.h>
#define SIZE 3

int main()
{
    int A[SIZE][SIZE];
    int row, col, total=0;

    /* Input elements in matrix from user */
    printf("Enter elements in matrix of size 3x3: \n");
    for(row=0; row<SIZE; row++)
    {
        for(col=0; col<SIZE; col++)
        {
            scanf("%d", &A[row][col]);
        }
    }

    /* Count total number of zero elements in the matrix */
    for(row=0; row<SIZE; row++)
    {
        for(col=0; col<SIZE; col++)
        {
            /* If the current element is zero */
            if(A[row][col] == 0)
            {
                total++;
            }
        }
    }

    if(total >= (row * col)/2)
    {
        printf("\nThe given matrix is a Sparse matrix.");
    }
    else
    {
        printf("\nThe given matrix is not Sparse matrix.");
    }

    return 0;
}

Output

Enter elements in matrix of size 3x3:
1 0 0
4 5 0
0 0 0

The given matrix is a Sparse matrix.

Happy coding 😉

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