Product Manager I, Ads

Google

Given an unsorted array of integers, write a function to sort the array in ascending order using the merge sort algorithm. Explanation of Merge Sort:** Briefly explain the merge sort algorithm, highlighting its divide-and-conquer approach. Implementation:** Provide a step-by-step implementation of the merge sort algorithm. This includes: A mergeSort function that recursively divides the array into smaller subarrays. A merge function that merges two sorted subarrays into a single sorted array. Example:** Input array: [38, 27, 43, 3, 9, 82, 10] Expected output: [3, 9, 10, 27, 38, 43, 82] Efficiency:** Discuss the time and space complexity of merge sort. Why is merge sort considered an efficient sorting algorithm? How does it compare to other sorting algorithms like bubble sort or quicksort in terms of performance (best, average, and worst-case scenarios)? Constraints:** You are not allowed to use built-in sorting functions. The array can contain positive and negative integers. The solution must be implemented in a language of your choice (e.g., Python, Java, C++). Follow-up:** How would you modify the merge sort algorithm to sort the array in descending order? Could you implement an iterative version of merge sort instead of the recursive one? What are the trade-offs?

Google

Let's design a system for URL shortening, like TinyURL. Assume that we need to handle a large number of requests, say billions of URLs per day. Consider the following: Functional Requirements: The system should generate a shorter, unique alias for a given URL. Users should be able to enter a shortened URL and be redirected to the original URL. The shortened URLs should be relatively short. Non-Functional Requirements: The system should be highly available. URL redirection should be as fast as possible. The shortened URLs should be unique. The system should be scalable to handle a large number of URLs and requests. Considerations: How would you design the data model to store the mappings between shortened and original URLs? What algorithms would you use to generate the shortened URLs? Consider the trade-offs between different algorithms. How would you handle collisions (when the same shortened URL is generated for two different original URLs)? What kind of database would you use and why? How would you handle the high volume of traffic and ensure low latency for redirection? Consider caching strategies. How would you scale the system to handle future growth? Walk me through your design, explaining your choices and the rationale behind them. Include diagrams and specific technologies where appropriate. Explain how you would ensure the system meets the requirements for availability, performance, and scalability.

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?