How can you efficiently represent sparse matrices using multi-dimensional arrays in Java?
- Use a hashmap to store non-empty elements with keys representing row and column indices for fast retrieval.
- Use a linked list of linked lists to represent rows and columns, only storing non-empty elements.
- Use a one-dimensional array to store non-empty values along with their row and column indices for efficient access.
- Use a two-dimensional array with default values set to null or another sentinel value to represent empty elements.
To efficiently represent sparse matrices in Java, you can use a one-dimensional array to store non-empty values along with their row and column indices. This approach minimizes memory usage and provides fast access to non-empty elements. The other options do not efficiently address the issue of sparse matrices.
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