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Problem Solving and Structured Thinking Questions

Focuses on general problem solving strategies and structured thinking applicable to engineering, coding, and complex decision making. Core skills include clarifying the problem, breaking problems into subproblems, identifying patterns, selecting appropriate approaches and data structures, developing and testing incremental solutions, analyzing trade offs, reasoning about time and space complexity, handling edge cases, and communicating thought process clearly. Includes algorithmic patterns and design of systematic approaches to unfamiliar problems as well as frameworks for organizing thought under ambiguity.

HardTechnical
58 practiced
You are alerted to an intermittent memory leak in production that degrades performance over hours but does not immediately crash the service. Describe a systematic approach to isolate the leak source: what telemetry and artifacts to collect (heap dumps, GC logs, allocation profiles), how to analyze them, how to reproduce the leak in staging or a small-scale test, and how to verify the fix. Also discuss prevention strategies to avoid regressions.
MediumTechnical
68 practiced
Implement a search function in Python or Java that finds a target value in a rotated sorted array that may contain duplicates. The array was originally sorted in ascending order then rotated an unknown number of times. If the target exists, return any index; otherwise return -1. Explain how the standard binary search must be adapted and how you handle duplicate values that make deciding which half to search ambiguous.
HardTechnical
58 practiced
Implement regular expression matching with support for '.' and '*' operators in Python or Java. The function matches whether the entire input string matches the pattern, where '.' matches any single character and '*' means zero or more of the preceding element. Provide correct handling for edge cases, an explanation of your DP state, and analyze time and space complexity.
HardTechnical
76 practiced
You are given a very large social graph and asked to detect communities programmatically. Describe and compare algorithms such as Louvain modularity maximization, label propagation, and spectral clustering. Discuss trade-offs in terms of scalability, required resources, resolution limits, and how you would evaluate quality of detected communities in a production setting.
EasyTechnical
53 practiced
You need a data structure that supports insert(key, value), get(key), delete(key) all in average O(1) time, and also allows iteration in insertion order. Describe which data structure(s) you would choose or compose, justify your choice, and discuss memory overhead and concurrency considerations in Java and Python.

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