Technical Fundamentals & Core Skills Topics
Core technical concepts including algorithms, data structures, statistics, cryptography, and hardware-software integration. Covers foundational knowledge required for technical roles and advanced technical depth.
Bit Manipulation and Low Level Optimization
Covers understanding and applying bitwise operations and bit level techniques to solve algorithmic and systems problems. Topics include bit masking for isolating or setting fields, bit shifting for scaling and position manipulation, exclusive or tricks for swapping or parity, counting set bits, finding lowest or highest set bit, and using bitsets for compact state representation. Includes flag management and register style programming typical in embedded systems and hardware interfaces, as well as performance oriented techniques such as branchless programming and using processor population count instructions. Candidates should also be able to reason about when bit level approaches provide elegant or measurable improvements and when they become premature or harmful optimizations, and explain portability and endianness implications.
Data Structures and Complexity
Comprehensive coverage of fundamental data structures, their operations, implementation trade offs, and algorithmic uses. Candidates should know arrays and strings including dynamic array amortized behavior and memory layout differences, linked lists, stacks, queues, hash tables and collision handling, sets, trees including binary search trees and balanced trees, tries, heaps as priority queues, and graph representations such as adjacency lists and adjacency matrices. Understand typical operations and costs for access, insertion, deletion, lookup, and traversal and be able to analyze asymptotic time and auxiliary space complexity using Big O notation including constant, logarithmic, linear, linearithmic, quadratic, and exponential classes as well as average case, worst case, and amortized behaviors. Be able to read code or pseudocode and derive time and space complexity, identify performance bottlenecks, and propose alternative data structures or algorithmic approaches to improve performance. Know common algorithmic patterns that interact with these structures such as traversal strategies, searching and sorting, two pointer and sliding window techniques, divide and conquer, recursion, dynamic programming, greedy methods, and priority processing, and when to combine structures for efficiency for example using a heap with a hash map for index tracking. Implementation focused skills include writing or partially implementing core operations, discussing language specific considerations such as contiguous versus non contiguous memory and pointer or manual memory management when applicable, and explaining space time trade offs and cache or memory behavior. Interview expectations vary by level from selecting and implementing appropriate structures for routine problems at junior levels to optimizing naive solutions, designing custom structures for constraints, and reasoning about amortized, average case, and concurrency implications at senior levels.
Graph Algorithms and Traversal
Covers fundamental representations, traversal techniques, and classical algorithms for graph structured data. Candidates should understand graph representations such as adjacency list and adjacency matrix and the tradeoffs in time and space for each. Core traversal skills include implementing and reasoning about breadth first search and depth first search for reachability, traversal order, and unweighted shortest path discovery, as well as tree traversal variants and their relationship to graph traversals. Algorithmic topics include cycle detection, topological sorting for directed acyclic graphs, connected components and strongly connected components, and shortest path and pathfinding algorithms for weighted graphs including Dijkstra algorithm and Bellman Ford algorithm with discussion of negative weights and appropriate use cases. Candidates should be able to analyze time and space complexity, choose appropriate auxiliary data structures such as queues, stacks, priority queues, and union find, handle directed versus undirected and weighted versus unweighted graphs, discuss implementation details and trade offs, and explain practical applications such as dependency resolution, scheduling, pathfinding, connectivity queries, and roles of graph algorithms in system design and data processing.
Trees and Graphs
Comprehensive knowledge of tree and graph data structures and algorithms commonly tested in coding interviews. Candidates should understand representations such as adjacency list and adjacency matrix and when to use each, and tree representations including n ary trees and binary search trees. Expect to implement and reason about traversals including depth first search and breadth first search, tree traversals such as pre order in order and post order, and level order traversal. Cover algorithms including topological sorting for directed acyclic graphs, cycle detection, connected components, shortest path algorithms such as breadth first search for unweighted graphs, Dijkstra for nonnegative weights, and Bellman Ford for graphs with negative edges, and minimum spanning tree algorithms such as Kruskal and Prim. Include disjoint set union find for connectivity and for use with Kruskal, lowest common ancestor techniques and implementations, tree dynamic programming problems, serialization and deserialization, reconstruction from traversals, balancing and validation checks for binary search trees and balanced tree concepts, diameter and path sum problems, and common interview patterns such as path finding dependency resolution and structural transformation. Emphasize implementation details and common pitfalls including correct use of visited tracking recursion depth edge cases and disconnected components, and practice articulating time and space complexity tradeoffs and algorithm selection under different constraints.
Problem Decomposition
Break complex problems into smaller, manageable subproblems and solution components. Demonstrate how to identify the root problem, extract core patterns, choose appropriate approaches for each subproblem, sequence work, and integrate partial solutions into a coherent whole. For technical roles this includes recognizing algorithmic patterns, scaling considerations, edge cases, and trade offs. For non technical transformation work it includes logical framing, hypothesis driven decomposition, and measurable success criteria for each subcomponent.
Recursion and Dynamic Programming
Covers recursive problem solving and dynamic programming as core algorithmic techniques. For recursion, understand how functions call themselves, base and recursive cases, the call stack, common patterns such as tree and graph traversals, backtracking, permutations, and detecting and avoiding infinite recursion. For dynamic programming, understand when to apply optimization via memoization and bottom up approaches, recognize optimal substructure and overlapping subproblems, convert naive recursive solutions into memoized or tabulated solutions, and analyze time and space complexity tradeoffs. Familiarity with classic examples such as Fibonacci, longest common subsequence, knapsack, coin change, and path counting is expected. At more senior levels, be able to discuss performance considerations, space optimization, and how DP principles can map onto real systems such as caching strategies, state management, and optimization of workflows or database query plans.
Problem Solving and Analytical Thinking
Evaluates a candidate's systematic and logical approach to unfamiliar, ambiguous, or complex problems across technical, product, business, security, and operational contexts. Candidates should be able to clarify objectives and constraints, ask effective clarifying questions, decompose problems into smaller components, identify root causes, form and test hypotheses, and enumerate and compare multiple solution options. Interviewers look for clear reasoning about trade offs and edge cases, avoidance of premature conclusions, use of repeatable frameworks or methodologies, prioritization of investigations, design of safe experiments and measurement of outcomes, iteration based on feedback, validation of fixes, documentation of results, and conversion of lessons learned into process improvements. Responses should clearly communicate the thought process, justify choices, surface assumptions and failure modes, and demonstrate learning from prior problem solving experiences.
Complexity Analysis and Tradeoffs
Evaluating algorithmic complexity and engineering trade offs between time, space, maintainability, and operational cost. Candidates should be able to express complexity using big O notation, reason about amortized cost, identify bottlenecks, compare alternative solutions and explain when to optimize or accept higher complexity. Include discussion of measurement, profiling, and pragmatic trade offs such as caching versus recomputation or memory versus latency.
Problem Solving and Structured Thinking
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.