Javascript Program to Check if a given matrix is sparse or not

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A matrix is a two-dimensional data object having m rows and n columns, therefore a total of m*n values. If most of the values of a matrix are 0 then we say that the matrix is sparse.
Consider a definition of Sparse where a matrix is considered sparse if the number of 0s is more than half of the elements in the matrix,

Examples:

Input : 1 0 3
        0 0 4
        6 0 0
Output : Yes
There are 5 zeros. This count
is more than half of matrix
size.

Input : 1 2 3
        0 7 8
        5 0 7 
Output: No

To check whether a matrix is a sparse matrix, we only need to check the total number of elements that are equal to zero. If this count is more than (m * n)/2, we return true.

Javascript

<script>
    // Javascript code to check 
    // if a matrix is
    // sparse.
     
    let MAX = 100;
        
    function isSparse(array, m, n)
    {
        let counter = 0;
        
        // Count number of zeros in the matrix
        for (let i = 0; i < m; ++i)
            for (let j = 0; j < n; ++j)
                if (array[i][j] == 0)
                    ++counter;
        
        return (counter > parseInt((m * n) / 2), 10);
    }
     
    let array = [ [ 1, 0, 3 ], 
                   [ 0, 0, 4 ], 
                   [ 6, 0, 0 ] ];
        
    let m = 3,
    n = 3;
    if (isSparse(array, m, n))
      document.write("Yes");
    else
      document.write("No");
     
</script>

Output:

Yes

Time complexity: O(m*n) where m and n are rows and columns respectively of a given matrix.

Auxiliary Space: O(1)

Please refer complete article on Check if a given matrix is sparse or not for more details!

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Last Updated :
11 Jul, 2022