Senior Data Scientist, 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 rate limiter for an API. The rate limiter should: Limit the number of requests a user can make to an API within a given time window. Support different rate limits for different users or API endpoints. For example, a free tier user might be limited to 10 requests per minute, while a premium user can make 100 requests per minute. Similarly, some API endpoints might have lower rate limits than others due to resource constraints. Be highly performant to avoid adding significant latency to API requests. Be scalable to handle a large number of users and API requests. Be reliable and prevent accidental overloads that could cause service disruptions. Describe the architecture, algorithms, and data structures you would use to implement such a rate limiter. Consider the following: How would you store the rate limit counters for each user or endpoint? What algorithm would you use to determine whether a request should be allowed or throttled? How would you handle distributed rate limiting across multiple servers? How would you ensure the rate limiter is resilient to failures? As an example, imagine a scenario where a social media platform wants to prevent users from spamming their API with excessive requests to post updates. The platform has millions of users and thousands of API endpoints. Some users pay for premium access with higher request limits. How would you design a robust and efficient rate limiter to handle this scale and these varying requirements?

Google

Can you describe a time you had to work with a difficult team member and how you handled the situation? This is a common behavioral interview question designed to assess your interpersonal skills, conflict resolution abilities, and ability to work effectively in a team environment, even when faced with challenges. When answering this question, it's crucial to provide a specific example, detailing the situation, your actions, and the resulting outcome. This allows the interviewer to understand your approach and evaluate your effectiveness. For instance, you might discuss a project where a team member consistently missed deadlines, hindering the team's progress. In your response, you should: Describe the Situation: Clearly outline the project, the team member's role, and the specific behaviors that made them difficult to work with (e.g., missed deadlines, lack of communication, negative attitude). Be objective and avoid accusatory language. Explain Your Actions: Detail the steps you took to address the situation. Did you have a one-on-one conversation with the team member? Did you involve a supervisor or mentor? Did you try to understand the reasons behind their behavior? Did you adjust your own approach to accommodate their needs? Highlight the Result: Explain the outcome of your actions. Were you able to resolve the issue? Did the team member improve their performance? What did you learn from the experience? Even if the outcome wasn't ideal, focus on the lessons learned and how you would approach a similar situation in the future. Remember, the STAR method (Situation, Task, Action, Result) can be a helpful framework for structuring your answer. The interviewer wants to see that you can navigate challenging interpersonal dynamics professionally and contribute to a positive team environment.