Staff UX Engineer, Google Cloud Learning Platform

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

API Design Question: E-commerce Product Catalog Let's design a simplified API for an e-commerce product catalog. Imagine you're building the backend for a website like Amazon or Etsy, focusing specifically on how products are stored and retrieved. This API will allow client applications (like web browsers or mobile apps) to browse, search, and view product details. Define the Core Entities: What are the essential attributes of a Product? Consider attributes like product_id, name, description, price, category, image_url, and inventory_count. Are there other attributes you would include? Justify your choices. Design the API Endpoints: Propose the main API endpoints for interacting with the product catalog. Focus on the following functionalities. Provide example requests and responses (in JSON format) for each endpoint: Retrieve a product by ID: (/products/{product_id}) Search for products: (/products?keyword=example&category=example) List products by category: (/categories/{category_name}/products) Considerations: How would you handle pagination for large product lists? How would you implement filtering and sorting options in the search endpoint? (e.g., filter by price range, sort by popularity). How would you handle different image sizes and formats? Example Scenario: A user searches for red shoes on the website. Describe how the API would be used to fulfill this request, including the specific endpoint called, the parameters passed, and the format of the expected response.

Google

Where do you see yourself in 5 years?