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Sigmacomputing·Software Engineer·Technical Phone Screen·Intermediate

IntermediatePrefer not to say
Jun 2026

Summary

Interviewed for a software engineering role at Sigmacomputing and got a pretty involved coding problem around implementing a pivot table from scratch. Three parts, each building on the last, and I was not fully prepared for how deep it went.

Questions Asked (3)

Q1

Implement a basic 2D pivot table in memory: given a list of row maps with categorical and numeric columns, group by two categorical columns and sum the numeric column, then print the result as a text table.

Algorithms & Data StructuresData Modeling
Author's notes

Started okay with a nested map approach, row key to col key to running sum.

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AI HintsAI Generated

Suggested Approach

Start by clarifying the input format and expected output, then outline a solution using a hash map to group by the two categorical columns and sum the numeric column. Finally, describe how to format and print the result as a text table, ensuring proper alignment and handling of edge cases.

Pro tip: Mention that you would use a composite key (e.g., a tuple or a delimiter-joined string) for grouping, and discuss how to handle missing or non-numeric values gracefully. Also, consider the time and space complexity of your approach.

1. Clarify requirements

Ask about input data types, expected output format, and any constraints (e.g., memory, performance). Confirm whether the numeric column is always present and how to handle missing values.

2. Design the grouping logic

Use a dictionary (hash map) where keys are tuples of the two categorical values and values are the sum of the numeric column. Iterate through the list of row maps, extract the relevant fields, and update the sums.

3. Format the output table

Determine column widths by finding the maximum length of each column's values (including headers). Print the headers, a separator line, and each row with proper padding for alignment.

4. Handle edge cases

Consider empty input, missing keys, non-numeric values, and duplicate keys. Decide whether to skip, error, or default to zero. Also, ensure the table prints correctly for large datasets.

5. Analyze complexity and test

State that the time complexity is O(n) for grouping and O(k) for printing, where n is the number of rows and k is the number of unique groups. Suggest writing unit tests for typical and edge cases.

Key Points to Mention

  • Use of a hash map with composite keys for efficient grouping.
  • Time and space complexity analysis (O(n) time, O(k) space).
  • Handling of missing or invalid numeric values (e.g., skip, default to 0, or raise error).
  • Dynamic column width calculation for proper text table alignment.
  • Consideration of sorting the output for readability (e.g., by row or column keys).
  • Potential use of libraries like pandas for production, but implementing from scratch to demonstrate fundamentals.

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

Q2

Extend the pivot table to include row totals, column totals, and a grand total in the printed output.

Algorithms & Data StructuresTechnical Trade-offs
Author's notes

Not too bad once the base structure was solid.

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AI HintsAI Generated

Suggested Approach

First, clarify the current pivot table implementation and the expected output format. Then, outline a step-by-step plan to compute and integrate row totals, column totals, and a grand total, ensuring alignment and correctness. Finally, discuss potential edge cases and trade-offs in the approach.

Pro tip: Mention that you would compute totals in a single pass over the data to optimize performance, and ensure the output format remains readable and consistent.

1. Clarify Requirements

Ask about the current pivot table structure, data size, and expected output format to ensure your solution meets the specific needs.

2. Design Data Structures

Decide how to store the pivot table and totals, such as using a 2D array or a dictionary of dictionaries, and plan where to place totals.

3. Compute Totals

Iterate through the data to compute row sums, column sums, and the grand total, ensuring accuracy and efficiency.

4. Integrate and Format Output

Add the totals to the pivot table structure and format the printed output with clear labels and alignment.

5. Test and Validate

Test with sample data, including edge cases like empty rows/columns, and verify that totals are correct and output is readable.

Key Points to Mention

  • Time and space complexity of computing totals
  • Handling missing or null values in the data
  • Ensuring the output is aligned and readable
  • Trade-offs between computing totals on-the-fly vs. precomputing
  • Edge cases: empty pivot table, single row/column
  • Potential use of built-in functions or libraries for aggregation

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

Q3

Generalize the pivot table so that each axis can be defined by a list of column names rather than a single column, forming composite tuple keys for rows and columns.

System DesignData ModelingTechnical Trade-offs
Author's notes

This is where things got messy for me.

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AI HintsAI Generated

Suggested Approach

Start by clarifying the current pivot table implementation and the desired API for multi-column axes. Then outline a design that maps each axis to a list of column names, constructs composite keys as tuples, and handles aggregation and ordering. Finally, discuss trade-offs such as memory usage, performance, and flexibility.

Pro tip: Emphasize that composite keys should be immutable and hashable (e.g., tuples) to ensure correct grouping and efficient lookups, and mention that you'd provide a way to flatten or serialize them for display.

1. Clarify requirements and current design

Ask about the existing pivot table structure, expected input format, and whether backward compatibility is needed. Confirm that each axis will accept a list of column names.

2. Design composite key generation

For each row, create a tuple of values from the specified row columns; similarly for columns. Ensure keys are hashable and handle missing values consistently.

3. Adapt aggregation and grouping logic

Use the composite keys as group identifiers in a dictionary or map, applying the aggregation function to values that share the same key. Consider using pandas MultiIndex or similar structures for efficiency.

4. Address ordering and presentation

Define how to sort composite keys (e.g., lexicographically) and how to display them, possibly by flattening tuples into concatenated strings or hierarchical headers.

5. Discuss trade-offs and optimizations

Compare memory and performance implications of tuple keys versus single keys, and suggest optimizations like caching or using categorical dtypes for repeated values.

Key Points to Mention

  • Composite keys as tuples for immutability and hashability
  • Handling of missing or null values in key columns
  • Aggregation function application to grouped data
  • Ordering and sorting of multi-level axes
  • Memory and performance trade-offs with larger keys
  • Backward compatibility and API design considerations

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