Senior Software Engineer, Google Research

Google

Given n pairs of parentheses, what is the total number of different, valid combinations of those parenthesis? For example: For n = 1, the only valid combination is (), so the answer is 1. For n = 2, the valid combinations are ()() and (()), so the answer is 2. For n = 3, the valid combinations are ((())), (()()), (())(), ()(()), and ()()(), so the answer is 5. Calculate the number of valid parenthesis combinations for a given n. Explain the formula or method used to arrive at the answer. What is the underlying mathematical concept at play here, and how does it ensure that we only count valid combinations, avoiding invalid ones such as )()(? Detail the relationship between this problem and Catalan numbers, and discuss how this relationship can be utilized to efficiently compute the number of valid combinations, even for relatively large values of n.

Google

Let's design a web proxy. Consider the following requirements: Basic Functionality: The proxy should be able to forward HTTP and HTTPS requests from clients to web servers and return the responses. Caching: Implement caching to reduce latency and bandwidth usage for frequently accessed resources. How would you handle cache invalidation? Security: The proxy should support HTTPS and protect client data. How would you handle SSL/TLS certificates? Scalability: The proxy should be able to handle a large number of concurrent connections. What architectural choices would you make to ensure scalability? Authentication: Implement basic authentication (username/password) to control access to certain websites. Logging: Log requests and responses for debugging and monitoring purposes. What information should be logged, and how would you manage log files? Blocking: Implement the functionality to block access to certain websites based on a blacklist. Discuss the architecture, components, and algorithms involved in building such a web proxy. Include considerations for performance, security, and maintainability. Provide example scenarios and solutions to potential challenges.

Google

Tell me about a time you had to work with a signed contract. Describe the situation, your role, and the outcome. What were the key clauses or provisions that were most relevant to the situation? What challenges, if any, did you face in interpreting or adhering to the contract terms? How did you ensure that your actions were in compliance with the contract, and what steps did you take to mitigate potential risks or disputes? For example, consider a scenario where you were managing a project with a vendor, and the contract outlined specific deliverables, timelines, and payment terms. A conflict arose when the vendor failed to meet a critical deadline, potentially impacting the project's overall timeline and budget. How did you leverage the contract to address the issue, protect your company's interests, and find a resolution that was fair to both parties? Or, imagine you were involved in a negotiation where the other party wanted to change certain terms after the contract was signed. How did you handle the situation, ensuring that any modifications were properly documented and agreed upon by all parties involved? What did you learn from this experience, and how has it influenced your approach to working with contracts in subsequent projects or situations?