Technical Operations Manager, Third-Party Data Center Operational Audits

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 build an infinite scroll web page. Describe the key components, implementation details, and optimization strategies you would employ to create a smooth and efficient user experience. To clarify the requirements, imagine you are tasked with displaying a large dataset of images fetched from a remote server. The goal is to load and render these images as the user scrolls down the page, providing a seamless browsing experience without overwhelming the browser or causing performance issues. Specifically, address the following: Data Fetching: How would you handle fetching data in chunks from the server? What API endpoints and request parameters would you use? Consider how to manage the loading state to provide visual feedback to the user. Rendering: What techniques would you use to efficiently render the images? Consider the use of virtual DOM, lazy loading, and image optimization techniques. Scroll Handling: How would you detect when the user has scrolled to the bottom of the page and needs more data to be loaded? How would you prevent multiple requests from being triggered simultaneously? Performance Optimization: What strategies would you implement to optimize the performance of the infinite scroll? Consider techniques such as debouncing scroll events, caching data, and preloading images. Error Handling: How would you handle errors that might occur during data fetching or rendering? How would you display error messages to the user? Provide code snippets (in JavaScript, React, or any other relevant language) to illustrate your approach. Discuss any potential challenges or trade-offs involved in implementing an infinite scroll and how you would address them.

Google

Where do you see yourself in 5 years?