Tools and Automation Engineer

Apple

Let's explore dynamic programming with a classic problem: the knapsack problem. Imagine you have a knapsack with a limited weight capacity, and a collection of items, each with its own weight and value. Your goal is to select the items to put into the knapsack to maximize the total value, without exceeding the weight capacity. Specifically: Problem Statement: You are given a knapsack with a maximum weight capacity W. You are also given n items. Each item i has a weight wi and a value vi. Determine the maximum total value of items that can be placed in the knapsack without exceeding its weight capacity. Example: Knapsack capacity W = 10 Items: Item 1: weight = 6, value = 30 Item 2: weight = 3, value = 14 Item 3: weight = 4, value = 16 Item 4: weight = 2, value = 9 What is the maximum value you can obtain by putting items into the knapsack, and which items should you choose? Explain how you would approach this problem using dynamic programming. Be sure to define the subproblems, the recurrence relation, and the base cases. Also, discuss the time and space complexity of your dynamic programming solution.

Apple

Let's discuss platform architecture. Imagine you are tasked with designing a platform for a rapidly growing social media company. This platform needs to handle millions of users, support various media types (images, videos, text), and provide real-time updates. Consider the following: Scalability: How would you design the architecture to ensure it can handle increasing user traffic and data volume? Discuss specific technologies and strategies (e.g., load balancing, caching, sharding). Reliability: What measures would you take to ensure the platform remains available and fault-tolerant? Consider redundancy, monitoring, and disaster recovery. Performance: How would you optimize the platform for speed and responsiveness? Address concerns like database performance, content delivery, and API design. Security: What security considerations would you prioritize to protect user data and prevent attacks? Think about authentication, authorization, encryption, and vulnerability management. Cost: How would you balance performance, scalability, and reliability with cost-effectiveness? Discuss trade-offs and potential cost optimization strategies. Provide a high-level overview of your proposed architecture, including key components, technologies, and design principles. Explain your reasoning behind each choice and how it contributes to the overall goals of the platform. For example, would you choose a microservices architecture or a monolithic architecture? What type of database would you use and why? How would you handle real-time updates and notifications? What CDNs would you use?

Apple

What is your expected salary range?