Electrical Engineer Intern (Masters/PhD)

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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 to efficiently manage meeting room bookings for a large company. Consider the following: Scalability: The system should handle a large number of meeting rooms and employees. Concurrency: Multiple users should be able to book rooms simultaneously without conflicts. Features: Room availability search based on time, date, and number of attendees. Recurring meeting support. Integration with employee calendars (e.g., Google Calendar, Outlook). Conflict detection and resolution. Reporting and analytics (e.g., room utilization). Example: Imagine a company with 100 meeting rooms and 5000 employees. A user wants to book a room for a daily stand-up meeting with 10 attendees, recurring every weekday for the next month. How would your system handle this request, ensuring no double bookings and updating the user's calendar? Specifically, discuss the system architecture, data models, key algorithms, and potential bottlenecks. How would you address these bottlenecks to ensure the system remains responsive and reliable?

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Let's say you are managing a team of five engineers working on a critical feature for an upcoming product launch. One of your engineers, Sarah, consistently delivers high-quality work but has been missing deadlines lately. During a one-on-one meeting, Sarah confides in you that she is feeling overwhelmed with her workload due to personal issues outside of work. Additionally, another engineer, David, has been expressing frustration about the lack of clear direction and feeling that his skills are not being fully utilized. Furthermore, the team is starting to experience conflicts regarding code ownership and integration, leading to delays and tension. As the engineering manager, how would you address these issues to ensure the successful delivery of the feature while maintaining a positive and productive team environment? Please provide specific steps and strategies you would implement to handle each situation, including Sarah's performance, David's concerns, and the team's conflict.