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Sigmacomputing·Software Engineer·Technical Phone Screen·Intermediate

IntermediatePrefer not to say
May 2026Remote

Summary

Sigma Computing interview for a software engineer role, one technical round focused on designing a spreadsheet data structure from scratch. The problem was more open-ended than I expected and the discussion about storage trade-offs ended up taking longer than the actual coding.

Questions Asked (3)

Q1

Implement a basic spreadsheet class with a fixed number of columns and dynamic rows. Include methods to get a cell value, set a cell value, and pretty-print the first N rows including empty cells.

System DesignAlgorithms & Data StructuresData Modeling
Author's notes

I started with a list of lists because it felt natural, then the interviewer pushed on what happens when most cells are empty and I had to walk back and pitch a dict keyed on (row, col) tuples instead.

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AI HintsAI Generated

Suggested Approach

Start by clarifying requirements and constraints, then design a simple data structure like a list of lists or a dictionary keyed by (row, col). Implement the methods with attention to edge cases, and ensure pretty-print handles empty cells and alignment. Discuss trade-offs and potential extensions.

Pro tip: Mention that using a dictionary for sparse data can save memory, but for a fixed number of columns and dynamic rows, a list of lists is simpler and more efficient. Also, consider using a sentinel value for empty cells and handle type consistency.

1. Clarify requirements and constraints

Ask about expected data types, default empty value, maximum rows, and whether columns are truly fixed. Confirm if pretty-print should align columns and how to represent empty cells.

2. Choose data structure

Decide between list of lists (dense) or dictionary (sparse). For fixed columns and dynamic rows, a list of lists is straightforward; each row is a list of length num_cols.

3. Implement core methods

Implement get_cell(row, col) and set_cell(row, col, value) with bounds checking. For set_cell, extend rows if needed. Use a default empty value (e.g., None or empty string).

4. Implement pretty-print

Print the first N rows, including empty cells. Determine column widths based on max content length, and format each cell with padding. Handle cases where N exceeds current rows.

5. Test and discuss edge cases

Test with empty spreadsheet, setting values in new rows, out-of-bounds access, and varying cell content lengths. Discuss time/space complexity and possible optimizations.

Key Points to Mention

  • Data structure choice: list of lists vs. dictionary, and trade-offs (memory vs. simplicity).
  • Handling dynamic rows: extending the list when setting a cell beyond current rows.
  • Default empty value and type consistency (e.g., None, empty string, or 0).
  • Pretty-print alignment: computing column widths and formatting with padding.
  • Edge cases: out-of-bounds access, negative indices, non-integer inputs, and large N.
  • Time and space complexity: O(1) for get/set with list of lists, O(rows*cols) for printing.

AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.

Q2

Walk through the trade-offs between using a list of lists versus a sparse dictionary for the underlying cell storage. Consider memory usage, access time, and how each handles mostly-empty spreadsheets.

Technical Trade-offsData Modeling
Author's notes

This is where the interview actually got interesting.

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AI HintsAI Generated

Suggested Approach

Start by clarifying the requirements and constraints of the spreadsheet application, then compare the two data structures across the three dimensions: memory usage, access time, and handling of sparse data. Conclude with a recommendation based on the expected usage patterns, such as read/write ratio and density of populated cells.

Pro tip: Mention that the optimal choice often depends on the specific operations (e.g., random access vs. iteration) and that a hybrid approach or a more advanced structure like a hash map of rows to lists might be worth considering.

1. Clarify requirements and assumptions

Ask about the expected size of the spreadsheet, typical density of populated cells, and the most frequent operations (read, write, iterate). This ensures your comparison is relevant to the actual use case.

2. Analyze memory usage

Compare the memory overhead of a list of lists (which allocates space for every cell, even empty ones) versus a sparse dictionary (which only stores non-empty cells). Quantify the trade-off for mostly-empty spreadsheets.

3. Compare access time

Discuss the time complexity for common operations: random access, insertion, deletion, and iteration. For a list of lists, access is O(1) but iteration over empty cells is wasteful; for a sparse dictionary, access is O(1) average but with higher constant factors and potential hash collisions.

4. Evaluate handling of sparsity

Explain how each structure performs when the spreadsheet is mostly empty. The list of lists wastes memory and time on empty cells, while the sparse dictionary efficiently skips them but may have overhead for dense regions.

5. Recommend and justify

Based on the analysis, recommend one structure or a hybrid approach, and justify it by linking back to the requirements. Acknowledge that the choice may depend on factors like memory constraints, performance needs, and expected data density.

Key Points to Mention

  • Memory overhead: list of lists allocates memory for every cell, while sparse dictionary only stores non-empty cells, making it more memory-efficient for sparse data.
  • Access time: list of lists provides O(1) random access but may require iterating over many empty cells; sparse dictionary provides O(1) average access but with higher constant factors and potential hash collisions.
  • Sparsity handling: sparse dictionary excels when data is mostly empty, but may have overhead for dense data due to hashing and dynamic resizing.
  • Iteration performance: iterating over all cells in a list of lists is O(rows * cols) regardless of emptiness, while sparse dictionary iteration is O(number of non-empty cells).
  • Trade-offs in insertion/deletion: list of lists may require shifting elements if using dynamic arrays, while sparse dictionary handles insertions and deletions in O(1) average time.
  • Hybrid approaches: consider using a list of dictionaries (one per row) or a dictionary of lists to balance memory and access patterns.

AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.

Q3

How would you extend this spreadsheet API to support formula cells, where a cell's value is computed from other cells?

System DesignTechnical Trade-offs
Author's notes

Sketched out storing either a raw value or a callable/expression object per cell, and mentioned you'd need dependency tracking to avoid circular refs.

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AI HintsAI Generated

Suggested Approach

Start by clarifying the current API design and requirements, then propose a formula engine that parses expressions into an AST, builds a dependency graph, and evaluates cells with cycle detection. Discuss trade-offs between eager and lazy evaluation, and how to handle updates efficiently.

Pro tip: Mention that you would separate the formula parsing and evaluation logic from the spreadsheet storage to keep the system modular and testable, and consider using a topological sort for evaluation order.

1. Clarify Requirements and Constraints

Ask about the expected formula syntax, supported functions, performance needs, and whether cells can reference ranges or other sheets. Understand if the API is for a single-user or collaborative environment.

2. Design Formula Representation and Parsing

Propose using an abstract syntax tree (AST) to represent formulas, with a parser that converts strings into ASTs. Mention handling of cell references, operators, and functions.

3. Build Dependency Graph and Evaluation Strategy

Explain how to track dependencies between cells to determine evaluation order, detect cycles, and support incremental updates. Discuss eager vs. lazy evaluation and their trade-offs.

4. Integrate with Existing API and Handle Updates

Describe how to extend the current API to set formulas, retrieve computed values, and propagate changes when dependencies update. Consider caching and invalidation strategies.

5. Address Edge Cases and Performance

Cover error handling (e.g., circular references, invalid formulas), scalability for large sheets, and potential optimizations like parallel evaluation or memoization.

Key Points to Mention

  • Abstract syntax tree (AST) for formula parsing and representation
  • Dependency graph and topological sorting for evaluation order
  • Cycle detection to prevent infinite loops
  • Eager vs. lazy evaluation trade-offs
  • Incremental recalculation and caching for performance
  • Error handling and user feedback for invalid formulas

AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.