Start by clarifying the requirements: cells can reference other cells, and reads must be O(1). Propose a design where each cell stores its computed value and a list of dependents; when a cell's value changes, propagate updates to dependents (write-heavy). Discuss trade-offs like handling cycles and memory overhead.
Pro tip: Mention that O(1) reads imply eager evaluation, and that the real challenge is efficient updates—consider topological sorting or DFS with cycle detection to avoid infinite loops.
Ask about the expected read/write ratio, whether formulas can change, and if cycles are allowed. This determines the update strategy.
Each cell stores its value, formula, and a list of dependent cells. Use a graph where nodes are cells and edges represent dependencies.
Since each cell stores its computed value, reading is just accessing the value field—O(1).
When a cell changes, recompute its value and propagate to dependents using DFS or BFS. Use topological order to ensure correct evaluation.
Detect cycles during propagation and mark affected cells as errors. Discuss how to handle circular references gracefully.
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