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.
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.
Coding Fundamentals and Problem Solving
Focuses on algorithmic thinking, data structures, and the process of solving coding problems under time constraints. Topics include core data structures such as arrays, linked lists, hash tables, trees, and graphs, common algorithms for searching and sorting, basics of dynamic programming and graph traversal, complexity analysis for time and space, and standard coding patterns. Emphasis on a disciplined problem solving approach: understanding the problem, identifying edge cases, proposing solutions with trade offs, implementing clean and readable code, and testing or reasoning about correctness and performance. Includes debugging strategies, writing maintainable code, and practicing medium difficulty interview style problems.
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.
Technical Depth Verification
Tests genuine mastery in one or two technical domains claimed by the candidate. Involves deep dives into real world problems the candidate has worked on, the tradeoffs they encountered, architecture and implementation choices, performance and scalability considerations, debugging and failure modes, and lessons learned. The goal is to verify that claimed expertise is substantive rather than superficial by asking follow up questions about specific decisions, alternatives considered, and measurable outcomes.
Algorithm Design and Dynamic Programming
Comprehensive topic covering algorithm design with a strong emphasis on dynamic programming across beginner to advanced levels. Candidates should be able to recognize overlapping subproblems and optimal substructure, define states and derive recurrence relations, and implement correct top down memoization or bottom up tabulation. Core problem types include Fibonacci and climbing stairs for basics, coin change and basic knapsack, intermediate patterns such as longest increasing subsequence, longest common subsequence, edit distance, and matrix chain multiplication, and advanced domains including bitmask dynamic programming, dynamic programming on trees, digit dynamic programming, game theoretic dynamic programming, and multi dimensional state spaces. Evaluation includes space and time optimization techniques such as rolling arrays, state compression, reducing dimensionality, and other algorithmic optimizations including divide and conquer optimization, monotone queue optimization, and convex hull trick when applicable. Candidates are expected to refactor brute force solutions into efficient dynamic programming implementations, reason about correctness and complexity, discuss trade offs between clarity and performance, and leverage related algorithmic building blocks such as binary search, common sorting algorithms, greedy strategies, and appropriate data structures to improve solutions.
Array and String Manipulation
Comprehensive coverage of language level operations and algorithmic techniques for arrays and strings that are commonly evaluated in coding interviews. Candidates should understand common language methods for arrays and strings, including their parameters and return values, chaining of operations, and the implications of mutable versus immutable types for in place versus extra space solutions. Core algorithmic patterns include iteration and traversal, index based and pointer based approaches, two pointer strategies, sliding window, prefix and suffix sums, sorting and partitioning, and cumulative or running sums. Problem classes include traversal, insertion and deletion, reversing and rotating, merging and deduplicating, subarray and substring search, anagram detection, palindrome detection, longest substring and maximum subarray problems, and pointer based reordering and partitioning tasks. Pattern matching techniques include naive matching, Knuth Morris Pratt and rolling hash approaches, and hashing for frequency and membership checks. String transformation and comparison topics include edit distance, sequence transformation problems such as word ladder, and parsing and validation tasks. Candidates should be prepared to implement correct and efficient solutions in common programming languages, reason about time and space complexity, optimize for input size and memory constraints, handle edge cases such as empty inputs and boundary conditions, and address character level concerns such as encoding differences, multibyte characters, surrogate pairs and unicode normalization. Interviewers may probe language specific implementation details, in place mutation versus copying, fixed buffer strategies, streaming or incremental algorithms for large inputs, and trade offs between clarity and performance. Expect questions that require selecting the right algorithmic pattern, implementing a robust solution, and justifying complexity and memory decisions.
Hardware and Software Co Design
Designing embedded and tightly coupled systems where hardware and software are developed together and influence each other. Candidates should demonstrate understanding of microcontroller and system-on-chip architecture, memory and peripheral constraints, interrupt and direct memory access behavior, power and clock management, and how those hardware characteristics shape firmware architecture and software trade offs. Coverage includes interface definition between hardware and firmware, selecting processors and peripherals based on software requirements, prototyping and iteration strategies, handling hardware revisions and product SKU differences in firmware, and organizing firmware for maintainability and scalability.
Algorithm Analysis and Optimization
Assess the ability to analyze, compare, and optimize algorithmic solutions with respect to time and space resources. Candidates should be fluent in Big O notation and able to identify dominant operations, reason about worst case, average case, and amortized complexity, and calculate precise time and space bounds for algorithms and data structure operations. The topic includes recognizing complexity classes such as constant time, logarithmic time, linear time, linearithmic time, quadratic time, and exponential time, and understanding when constant factors and lower order terms affect practical performance. Candidates should know and apply common algorithmic patterns and techniques, including two pointers, sliding window, divide and conquer, recursion, binary search, dynamic programming, greedy strategies, and common graph algorithms, and demonstrate how to transform brute force approaches into efficient implementations. Coverage also includes trade offs between time and space and when to trade memory for speed, amortized analysis, optimization tactics such as memoization, caching, pruning, iterative versus recursive approaches, and data layout considerations. Candidates must be able to reason about correctness, invariants, and edge cases, identify performance bottlenecks, and explain practical implications such as cache behavior and memory access patterns. For senior roles, be prepared to justify precise complexity claims and discuss optimization choices in system level and constrained environment contexts.