Learn DSA: Complete Data Structures and Algorithms Roadmap (13-Part Series with C++ and Java)

Learn DSA: Complete Data Structures and Algorithms Roadmap - CodingHumans

Data structures and algorithms (DSA) are the core of coding interviews at product companies, and the foundation for exams like GATE. The problem is not a lack of material; it is knowing what to learn, in what order, and which patterns actually matter. This roadmap answers exactly that.

The Learn DSA series on CodingHumans has 13 parts. Each part explains one topic from scratch, shows the patterns interviewers ask about, gives clean code in C++ and Java, lists practice problems from easy to hard, and ends with interview questions and links to MCQ practice. Work through them in order: each part builds on the earlier ones.

1. All 13 parts

2. What each part covers

PartTopicWhat you will learnKey pattern
1Time and Space ComplexityBig-O notation, analysing loops and recursion, space and amortized costEstimate complexity from input limits
2Arrays and StringsArrays, strings, prefix sums, Kadane's algorithm, matricesPrefix sums, in-place reversal
3HashingHashMap, HashSet, collisions, C++ and Java containersCounting, complement lookup, prefix sum + map
4Two Pointers and Sliding WindowTwo pointers, fast/slow pointers, fixed and variable windowsExpand-and-shrink window template
5Linked ListReversal, Floyd's cycle detection, dummy heads, mergingSlow/fast pointers, dummy node
6Stack and QueueStacks, queues, deques, design questionsMonotonic stack and deque
7Recursion and BacktrackingRecursion, call stack, backtracking template, pruningChoose, explore, un-choose
8Sorting and Binary SearchMerge sort, quick sort, quickselect, binary searchBinary search on the answer
9Trees and BSTBinary trees, traversals, BSTs, balanced treesCombine left and right subtree answers
10Heaps and Priority QueueHeaps, priority queues in C++ and JavaTop K, merge K lists, two heaps
11GraphsBFS, DFS, topological sort, Dijkstra, union-findModel the problem as nodes and edges
12Greedy AlgorithmsGreedy choice, intervals, Jump Game, Gas StationSort then pick; exchange argument
13Dynamic ProgrammingMemoization, tabulation, knapsack, LCS, LISState, transition, base case, order, answer

3. An 8-week study plan

At about 1.5 to 2 hours a day, this plan covers the whole series with time for practice. If you have more time, go faster; if you have less, stretch it out, but keep the order.

WeekPartsGoal
11, 2Read complexity confidently; solve easy array and string problems
23, 4Use hash maps and windows to turn O(n^2) solutions into O(n)
35, 6Handle pointer manipulation and monotonic stacks without bugs
47, 8Write backtracking and binary search from a template
59, 10Solve tree problems recursively; know when to use a heap
611Model problems as graphs; BFS, DFS, topological sort, Dijkstra
712, 13Recognise greedy versus DP; solve classic DP problems
8RevisionMixed practice and timed mock interviews across all topics

4. How to practise effectively

  • Patterns over problem counts. Solving 150 well-chosen problems and understanding the pattern behind each beats rushing through 500.
  • Time-box each attempt. Try a problem for 25 to 40 minutes. If stuck, read a hint or the approach, then close it and code it yourself.
  • Always state complexity. Before coding, say the time and space of your idea, and whether the input limits allow it (Part 1).
  • Revisit after a few days. Re-solve problems you needed help with. Spaced repetition is what makes patterns stick.
  • Test yourself with MCQs. Short quizzes reveal gaps in theory quickly; links are below.
  • Practise explaining out loud. Interviews reward clear reasoning as much as working code.
Which language? Use the one you are most fluent in. The series shows C++ and Java side by side; the ideas apply equally to Python or JavaScript.

FAQ

How long does it take to learn DSA for interviews?

With steady daily practice, about two to three months is typical for a solid foundation: roughly eight weeks to go through the topics and a few more weeks of mixed practice. Prior programming experience shortens this.

Do I need to learn every topic before applying?

Parts 1 to 9 cover most interview questions. Graphs, greedy and dynamic programming appear more at product companies and in senior rounds, so finish them before those interviews.

How many problems should I solve?

Around 150 to 250 problems spread across all topics is enough for most candidates, as long as you understand the pattern behind each one. Each part lists 12 to 15 problems to start with.

Is this series useful for GATE CSE?

Yes. The theory on complexity, sorting, trees, heaps, hashing and graphs matches the GATE syllabus. Pair it with the GATE MCQ sets linked below for exam-style practice.

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