Technical Program Manager III, Mobile, Google Play

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 discuss Access Control Lists (ACLs). Imagine you're designing a system where you need to control access to various resources. How would you approach assigning ACLs to users and groups? Be specific. For example, consider a scenario with files, directories, and applications. How would you define permissions (read, write, execute, delete) and associate them with individual users (like 'john.doe') or groups (like 'developers' or 'administrators')? What different strategies would you evaluate for managing ACLs, and what are the tradeoffs between them in terms of security, performance, and ease of administration? For example, would you use an identity-based approach, a role-based approach, or a combination of both? Consider also how you would handle inheritance of ACLs in a hierarchical structure, such as a file system. How would you prevent privilege escalation and ensure that users only have the access they need? Finally, how would you audit ACL changes and monitor access attempts to detect potential security breaches?

Google

Let's discuss your skillset. To start, can you elaborate on your technical proficiencies, such as your experience with programming languages, frameworks, and tools? For instance, have you worked with Python, Java, or C++? Are you familiar with front-end frameworks like React or Angular, or back-end technologies like Node.js or Django? Can you provide examples of projects where you effectively utilized these skills to overcome technical challenges? Furthermore, how do you approach learning new technologies and integrating them into your existing workflow? In addition to technical skills, can you share examples of your soft skills, such as communication, teamwork, problem-solving, and leadership? For example, describe a situation where you effectively communicated a complex technical concept to a non-technical audience, or a time when you successfully collaborated with a team to achieve a common goal. How do you handle conflicts within a team, and what strategies do you employ to ensure that everyone's voice is heard? Finally, how do you stay up-to-date with the latest industry trends and advancements, and how do you continuously develop your skills to remain competitive in the ever-evolving tech landscape?