I started with the data structure: a map from cell name to either a raw int or a list of dependencies plus an expression string.
Start by clarifying requirements and constraints, then design a data model that stores raw cell content and a dependency graph. Implement getCell with lazy evaluation and memoization, and setCell with dependency updates. For circular dependency detection, use DFS with cycle detection during setCell.
Pro tip: Discuss the trade-offs between eager and lazy evaluation, and mention that using a topological order can optimize recalculations. Also, consider thread-safety if the spreadsheet is accessed concurrently.
Ask about expected scale, concurrency, supported formula operations, and error handling. Confirm that formulas can reference other cells and that circular dependencies must be rejected.
Propose storing each cell's raw input (integer or formula string) and a computed value. Maintain a dependency graph where edges represent references from a formula to other cells.
For getCell, return the computed value, evaluating the formula if necessary. For setCell, parse the input, update the cell, and propagate changes to dependents. Use memoization to avoid redundant calculations.
During setCell, after updating the dependency graph, run a cycle detection algorithm (e.g., DFS) starting from the modified cell. If a cycle is found, reject the update and revert changes.
Mention optimizations like topological sorting for batch updates, handling of invalid formulas, and concurrency control. Also, consider memory usage and scalability.
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