Software Engineer, Machine Learning

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Let's explore some fundamental algorithms. Suppose you're given an unsorted array of integers. Describe how you would implement the following sorting algorithms: Bubble Sort Insertion Sort Merge Sort Quick Sort For each algorithm, explain: The basic principle behind the algorithm. The time complexity in the best, average, and worst-case scenarios. The space complexity. Whether the algorithm is stable or unstable. Provide example code snippets (in any language you prefer, but indicate which language you are using) demonstrating the core logic of each algorithm. Focus on clarity and conciseness in your code. Discuss the advantages and disadvantages of each sorting algorithm. When would you choose one algorithm over another, and why? For example, consider a scenario where you have a nearly sorted array. Which algorithm would perform best, and why? Imagine you're working with a very large dataset that doesn't fit into memory. Which sorting algorithm(s) could you adapt to handle this situation, and how would you do it? (Hint: Think about external sorting techniques). To illustrate, consider an array [5, 1, 4, 2, 8]. Show how each of the listed algorithms would sort this array step by step.

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Let's design a system for URL shortening, like TinyURL. Consider the following: Functional Requirements: Users should be able to enter a long URL and get a shorter URL. Users should be able to access the original URL by visiting the shortened URL. The system should be highly available and handle a large number of requests. Analytics: Track the number of times a shortened URL is accessed. Non-Functional Requirements: The system should have low latency for both URL shortening and redirection. The shortened URLs should be relatively short. The system should be reliable and fault-tolerant. Considerations: How would you handle collisions (when two different long URLs map to the same short URL)? How would you design the data store to efficiently handle a large number of URLs? How would you scale the system to handle a large number of requests? What algorithms could be used for generating the short URLs? Discuss the trade-offs. Walk me through the architectural components, data model, and scaling strategies for this URL shortening service. For instance, if a user inputs https://www.example.com/very/long/path/to/resource, the system might generate a short URL like https://short.url/xyz123. When a user visits https://short.url/xyz123, they should be redirected to the original URL.

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Where are you from in the US?