Software Development Engineer (iOS), Identity Services

Amazon

Given a binary tree, find the lowest common ancestor (LCA) of two given nodes in the tree. According to the definition of LCA on Wikipedia: “The lowest common ancestor is defined between two nodes p and q as the lowest node in T that has both p and q as descendants (where we allow a node to be a descendant of itself). For example: If the tree is [3,5,1,6,2,0,8,null,null,7,4], p = 5, q = 1, then the expected output is 3, because the LCA of nodes 5 and 1 is 3. If the tree is [3,5,1,6,2,0,8,null,null,7,4], p = 5, q = 4, then the expected output is 5, because the LCA of nodes 5 and 4 is 5, since a node can be a descendant of itself according to the LCA definition. If the tree is [1,2], p = 1, q = 2, then the expected output is 1. Consider these constraints: The number of nodes in the tree is in the range [2, 10^5]. -10^9 <= Node.val <= 10^9 All Node.val are unique. p != q p and q will exist in the tree.

Amazon

Elevator System Design Design an elevator system for a 20-story building. Consider the following: Number of Elevators: How many elevators would you recommend, and why? Elevator Capacity: What should be the capacity (in terms of weight and number of people) of each elevator? Algorithm for Request Handling: Describe an algorithm for efficiently handling elevator requests, considering factors like minimizing wait times and energy consumption. Example: Should the elevator always go to the closest floor first, or should it consider the direction of travel? Edge Cases and Error Handling: How would you handle edge cases such as: Elevator malfunction? Power outage? Overweight elevator? Simultaneous requests from multiple floors? Optimization: How can you optimize the system for peak hours (e.g., morning rush hour, lunch break)? Consider strategies like: Designating specific elevators for up/down travel during peak times. Implementing a learning system that adapts to usage patterns. User Interface: Describe the user interface (both inside the elevator and on each floor) and how it provides feedback to users. Scalability: How would the design change for a 50-story or 100-story building? What are the limitations of your current design? Explain your design choices and justify them with appropriate reasoning. Focus on creating a robust, efficient, and user-friendly elevator system.

Amazon

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