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Two Sigma·Software Engineer·Onsite - System Design / Architecture·Senior

SeniorPrefer not to say
May 2026

Summary

Two Sigma system design round for a software engineering role. The whole session was basically one big OOP question about a vending machine, but they pushed hard on state machines, design patterns, and unit test coverage, so it was more involved than it sounds.

Questions Asked (3)

Q1

Design a vending machine in an object-oriented way. Define the core domain model including items, inventory slots, coins, payments, and the machine itself. Walk through the full user-facing API and implement an explicit state machine for the machine's lifecycle.

System DesignData ModelingTechnical Trade-offs
Author's notes

I started with the domain model which felt natural, Item and Slot were easy.

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AI HintsAI Generated

Suggested Approach

Start by clarifying requirements and scope, then define the core domain model with clear responsibilities and relationships. Next, design the user-facing API and implement an explicit state machine to manage the machine's lifecycle, ensuring all transitions are well-defined. Finally, discuss trade-offs and potential extensions.

Pro tip: Emphasize the importance of separating concerns: keep the state machine logic distinct from the domain model to avoid tight coupling and improve testability. Also, consider concurrency and error handling early, as vending machines operate in real-world scenarios with multiple users and hardware failures.

1. Clarify Requirements and Scope

Ask clarifying questions to understand the expected functionality, constraints, and edge cases. Define what is in scope (e.g., payment methods, item types) and what is out of scope.

2. Define Core Domain Model

Identify key entities like Item, InventorySlot, Coin, Payment, and VendingMachine. Define their attributes, behaviors, and relationships, ensuring single responsibility and encapsulation.

3. Design User-Facing API

Specify the public methods for interacting with the machine, such as selectItem, insertCoin, cancelTransaction, and dispenseItem. Ensure the API is intuitive and covers all user actions.

4. Implement State Machine

Define states (e.g., Idle, HasMoney, Dispensing, OutOfStock) and transitions triggered by events like coin insertion, item selection, or cancellation. Use a state pattern or explicit transition table.

5. Discuss Trade-offs and Extensions

Highlight design decisions, such as using composition over inheritance, and discuss potential improvements like adding new payment methods or handling concurrency.

Key Points to Mention

  • Encapsulation of inventory management with slots tracking quantity and item details.
  • Payment handling: accepting coins, calculating change, and handling refunds.
  • State machine design: states, events, transitions, and guards for invalid operations.
  • Error handling: out-of-stock, insufficient funds, exact change required, and hardware failures.
  • Concurrency considerations: multiple users, thread safety, and locking mechanisms.
  • Extensibility: supporting new item types, payment methods, or dynamic pricing.

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

Q2

How would you handle different payment methods in your vending machine design? What pattern would you apply and why?

System DesignTechnical Trade-offs
Author's notes

Strategy pattern, pretty straightforward once you see it.

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AI HintsAI Generated

Suggested Approach

Start by clarifying requirements and constraints, then propose the Strategy pattern to encapsulate payment algorithms, explaining how it enables adding new payment methods without modifying existing code. Discuss trade-offs and consider extensions like combining with Factory or Adapter patterns for real-world flexibility.

Pro tip: Mention that payment processing often involves external services, so you'd also consider the Adapter pattern to integrate third-party APIs, and emphasize testability by mocking payment strategies.

1. Clarify Requirements

Ask about supported payment methods (cash, card, mobile), whether new methods will be added frequently, and any constraints like offline operation or security.

2. Identify the Problem

Explain that hardcoding payment logic leads to rigid code; each new method requires modifying the vending machine class, violating Open/Closed Principle.

3. Propose Strategy Pattern

Introduce the Strategy pattern: define a PaymentStrategy interface with a pay() method, and implement concrete strategies for each payment type. The vending machine delegates to the selected strategy.

4. Discuss Implementation

Describe how the vending machine holds a reference to a PaymentStrategy, which can be set at runtime. Optionally, use a Factory to create strategies based on user selection.

5. Evaluate Trade-offs and Extensions

Compare with other patterns (e.g., State, Command) and mention that Adapter may be needed for third-party APIs. Highlight benefits: flexibility, testability, and adherence to SOLID principles.

Key Points to Mention

  • Strategy pattern encapsulates interchangeable algorithms
  • Open/Closed Principle: add new payment methods without modifying existing code
  • Runtime selection of payment strategy based on user input
  • Use of Factory pattern to instantiate strategies
  • Adapter pattern for integrating external payment gateways
  • Testability: mock payment strategies for unit testing

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

Q3

Write unit tests for your vending machine. Make sure to cover the happy path, exact change, change due, insufficient funds, sold-out items, cancel and refund, and concurrent purchases.

System DesignTechnical Trade-offsAPI & Integrations
Author's notes

This is where the interview got uncomfortable.

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AI HintsAI Generated

Suggested Approach

Start by clarifying the vending machine's API and state model, then outline a test plan that maps each requirement to specific test cases. For each case, define the setup, action, and expected outcome, and discuss how to handle concurrency and edge conditions. Emphasize test isolation and deterministic behavior.

Pro tip: Use parameterized tests for happy path and exact change scenarios to reduce duplication, and mock time or randomness to make tests deterministic. Also, consider property-based testing for invariants like 'balance never negative'.

1. Clarify Requirements and API

Ask clarifying questions about the vending machine's interface, state, and expected behaviors. Define the public methods (e.g., selectItem, insertCoin, cancel) and the internal state (e.g., inventory, balance).

2. Design Test Cases for Each Scenario

For each required scenario (happy path, exact change, change due, insufficient funds, sold-out, cancel/refund, concurrent purchases), outline specific test cases with inputs and expected outputs. Consider edge cases like multiple coins, invalid selections, and race conditions.

3. Set Up Test Fixtures and Mocks

Create reusable setup code to initialize the vending machine with known inventory and coin denominations. Use mocks or stubs for external dependencies (e.g., coin dispenser, inventory sensor) to isolate the unit under test.

4. Implement Tests with Clear Assertions

Write tests using a framework like JUnit or pytest, ensuring each test is independent and deterministic. Use assertions to verify state changes, return values, and side effects (e.g., coins dispensed).

5. Address Concurrency and Edge Cases

For concurrent purchases, simulate multiple threads or use a concurrency testing framework to verify thread safety. Discuss strategies like locks, atomic operations, or transactional behavior, and test for race conditions.

Key Points to Mention

  • Test isolation: each test should run independently with a fresh vending machine state.
  • Deterministic tests: mock time, random number generators, or external services to avoid flakiness.
  • Boundary conditions: test exact change with minimum and maximum coin combinations, and insufficient funds with zero balance.
  • State verification: assert both the vending machine's internal state (e.g., inventory, balance) and external outputs (e.g., item dispensed, change returned).
  • Concurrency testing: use tools like Thread Weaver or stress tests to uncover race conditions, and discuss synchronization mechanisms.
  • Test coverage: ensure all branches (e.g., successful purchase, error paths) are covered, and consider using code coverage tools.

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