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Two Sigma·Software Engineer·Technical Phone Screen·Intermediate

Intermediate
May 2026

Summary

Two Sigma technical screen for a software engineering role, focused entirely on building a mini in-memory relational database from scratch. Pretty intense for a single session. The design and error-handling discussion took up as much time as the actual coding.

Questions Asked (4)

Q1

Implement a small in-memory relational database that handles CREATE TABLE, INSERT, and SELECT with WHERE clauses (AND conditions only), given pre-tokenized SQL-like queries as input.

Algorithms & Data StructuresSystem DesignTechnical Trade-offs
Author's notes

I spent the first few minutes just staring at the input format.

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AI HintsAI Generated

Suggested Approach

Start by clarifying the scope and constraints (e.g., supported data types, query complexity, performance expectations) to ensure alignment. Then, design a modular architecture with separate components for parsing, storage, and query execution, using simple data structures like hash maps for tables and rows. Walk through a concrete example to demonstrate correctness and discuss trade-offs such as indexing strategies for WHERE clauses.

Pro tip: Emphasize extensibility: design the system so that adding new SQL features (e.g., OR conditions, JOINs) requires minimal changes, and mention how you'd test edge cases like duplicate table creation or missing columns.

1. Clarify Requirements and Assumptions

Ask about the expected input format, supported data types, and any performance or memory constraints. Confirm that queries are pre-tokenized and that only AND conditions are needed.

2. Design Data Structures

Choose in-memory structures: a map from table names to table objects, each table storing column definitions and a list of rows (e.g., list of maps or tuples). Consider indexing for faster WHERE evaluation.

3. Implement Query Handlers

Write separate functions for CREATE TABLE (validate and register schema), INSERT (validate row against schema and append), and SELECT (filter rows by evaluating AND conditions).

4. Handle Edge Cases and Errors

Address scenarios like duplicate table names, inserting into non-existent tables, type mismatches, and empty result sets. Define clear error messages or exceptions.

5. Discuss Trade-offs and Optimizations

Talk about time/space complexity, potential indexing (e.g., hash indexes on columns), and how to extend to more complex queries. Mention testing strategies.

Key Points to Mention

  • Modular design separating parsing, storage, and execution for maintainability.
  • Use of hash maps for O(1) table lookup and efficient column access.
  • Row storage as list of dictionaries or tuples, with schema validation on insert.
  • WHERE clause evaluation: iterate rows and apply AND conditions sequentially.
  • Potential indexing strategies (e.g., hash index on frequently filtered columns) to optimize SELECT.
  • Error handling for invalid operations and ensuring data integrity.
  • Extensibility to support OR conditions, JOINs, or other SQL features with minimal refactoring.

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

Q2

How would you represent tables and schemas internally? Walk through the trade-offs between row-oriented (list of dicts) and columnar storage for this use case.

Data ModelingTechnical Trade-offsSystem Design
Author's notes

Row-oriented felt obvious for inserts and single-row lookups, said so.

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AI HintsAI Generated

Suggested Approach

Start by clarifying the use case and access patterns, then propose a concrete internal representation for tables and schemas. Compare row-oriented and columnar storage across dimensions like read/write performance, memory efficiency, and analytical query support, and justify your recommendation based on the specific workload.

Pro tip: Emphasize that the optimal representation depends on the workload: row-oriented excels for transactional, write-heavy workloads, while columnar is superior for analytical, read-heavy workloads. Mention hybrid approaches like partitioning or column groups to show depth.

1. Clarify requirements and access patterns

Ask about the expected workload: is it write-heavy (OLTP) or read-heavy (OLAP)? What are the common query patterns? This determines the trade-offs.

2. Define schema representation

Describe how to represent schemas internally, e.g., as metadata objects with column names, types, and constraints. Mention the importance of schema evolution and validation.

3. Propose table representation options

Present row-oriented (list of dicts) and columnar (dict of lists) as two extremes. Explain how each stores data and the implications for memory layout and access.

4. Analyze trade-offs

Compare row vs. columnar on: read/write amplification, compression, cache locality, vectorization, and suitability for analytical queries (e.g., aggregations, scans).

5. Recommend and justify

Based on the use case, recommend one approach or a hybrid. Explain why it aligns with the requirements and mention potential optimizations.

Key Points to Mention

  • Row-oriented storage: efficient for point lookups and writes, but poor for analytical queries that scan few columns.
  • Columnar storage: excellent for analytical queries (aggregations, column scans) due to compression and vectorized processing, but writes are more expensive.
  • Schema representation: use a structured format (e.g., Avro, Protobuf, or custom metadata) to define columns, types, and constraints.
  • Memory layout: row-oriented stores contiguous rows, while columnar stores contiguous columns, affecting cache performance.
  • Use case considerations: Two Sigma likely deals with large-scale financial data, so analytical workloads may favor columnar, but transactional needs might require row-oriented.
  • Hybrid approaches: e.g., PAX (Partition Attributes Across) or column families in wide-column stores, to balance both.

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

Q3

How should the system handle invalid queries, such as referencing a missing column, a type mismatch, or malformed parentheses? What's your reporting strategy?

Technical Trade-offsAPI & Integrations
Author's notes

I said skip and log, which they seemed fine with, but then they asked whether I'd surface a structured error object or just print to stderr.

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AI HintsAI Generated

Suggested Approach

Start by categorizing invalid queries into syntactic (e.g., malformed parentheses) and semantic (e.g., missing column, type mismatch) errors, then describe a layered error-handling strategy that includes detection, classification, and user-friendly reporting. Emphasize that the system should fail fast with precise, actionable messages while logging details for debugging, and discuss trade-offs between strict validation and flexibility.

Pro tip: Mention that error messages should avoid leaking sensitive schema details in production, and that you'd include a unique error code for each failure type to aid support and monitoring. Also, highlight the importance of consistent error handling across all query interfaces (API, CLI, UI).

1. Categorize Error Types

Distinguish between syntax errors (e.g., unbalanced parentheses) and semantic errors (e.g., missing column, type mismatch). This helps tailor the detection and reporting mechanisms.

2. Detect and Validate Early

Use parsing and semantic analysis to catch errors before execution. For syntax, rely on the parser; for semantics, validate against schema and type system.

3. Report with Precision and Context

Return clear, actionable error messages that pinpoint the location and nature of the error, without exposing internal details. Include error codes for programmatic handling.

4. Log and Monitor for Improvement

Log errors with sufficient context for debugging and aggregate metrics to identify common issues, while respecting privacy and security.

5. Balance Strictness and Usability

Decide when to reject queries outright versus attempting auto-correction or suggestions, considering the user experience and system integrity.

Key Points to Mention

  • Differentiate between syntax and semantic errors and handle them at appropriate stages.
  • Use precise error messages with line/column numbers and expected vs. actual types.
  • Include unique error codes for easy reference and automated handling.
  • Avoid exposing sensitive schema information in production error messages.
  • Log detailed errors for debugging and monitor error rates to improve the system.
  • Consider trade-offs between strict validation and user-friendly suggestions (e.g., 'Did you mean column X?').

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

Q4

What's the time complexity of your SELECT implementation per query, and how would you extend the system to support indexes or OR conditions in WHERE clauses?

Algorithms & Data StructuresSystem Design
Author's notes

Linear scan per query, said it plainly.

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AI HintsAI Generated

Suggested Approach

Start by clearly stating the time complexity of your current SELECT implementation, including any assumptions about data structures and query patterns. Then, discuss how you would extend the system to support indexes and OR conditions, focusing on data structure choices and algorithmic improvements. Be prepared to discuss trade-offs and potential optimizations.

Pro tip: Demonstrate awareness of real-world constraints by mentioning how you would handle updates and memory overhead when adding indexes, and consider discussing how OR conditions can be optimized using index union or bitmap indexes.

1. State current complexity

Clearly specify the time complexity of your SELECT implementation per query, e.g., O(n) for a full scan, and mention any assumptions about the data size and structure.

2. Explain indexing extension

Describe how you would add indexes (e.g., B-trees, hash maps) to reduce complexity to O(log n) or O(1) for equality queries, and discuss the trade-offs in terms of space and update time.

3. Address OR conditions

Explain how to handle OR conditions efficiently, such as using index union, bitmap indexes, or query rewriting to avoid full scans.

4. Discuss trade-offs and optimizations

Mention the impact on write performance, memory usage, and complexity of maintaining indexes, and suggest possible optimizations like composite indexes or covering indexes.

5. Summarize and conclude

Summarize the proposed approach, reiterate the improved complexities, and highlight any remaining challenges or future work.

Key Points to Mention

  • Current time complexity (e.g., O(n) for full scan)
  • Index data structures (B-tree, hash index) and their complexities
  • Handling OR conditions via index union or bitmap indexes
  • Trade-offs: space overhead, update cost, and maintenance
  • Potential for composite indexes or covering indexes
  • Consideration of query patterns and workload characteristics

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