Software Engineer (Systems)

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Implement a SnapshotArray that supports the following interface: SnapshotArray(int length) initializes an array-like data structure with the given length. Initially, each element equals 0. void set(index, val) sets the element at the given index to be equal to val. int snap() takes a snapshot of the array and returns the snap_id: the total number of times we called snap() minus 1. int get(index, snap_id) returns the value at the given index, at the time we took the snapshot with the given snap_id For example: Input: [SnapshotArray,set,snap,set,get] [[3],[0,5],[],[0,6],[0,0]] Output: [null,null,0,null,5] Explanation: SnapshotArray snapshotArr = new SnapshotArray(3); // set the length to be 3 snapshotArr.set(0,5); // Set array[0] = 5 snapshotArr.snap(); // Take a snapshot, return snap_id = 0 snapshotArr.set(0,6); snapshotArr.get(0,0); // Get the value of array[0] with snap_id = 0, return 5 What data structures and algorithms are best suited for this problem? What are the time and space complexities of each operation?

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Let's design a system utility to find duplicate files on a given file system. The utility should traverse a directory, compute a hash for each file, and identify duplicates based on these hashes. Discuss the algorithmic complexity, potential optimizations, and trade-offs between CPU and RAM usage. What is the theoretical best performance we can achieve?

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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.