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,
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.
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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