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Professional Data Structures & Algorithms

School of Technology & AI

Don't just memorize algorithms — learn how to analyze problems, choose the right data structure and design efficient solutions

RIA's Professional Data Structures & Algorithms Program is a professional problem-solving and software engineering pathway — not just an interview-preparation course. Master programming logic, complexity analysis, linear structures, trees, graphs, sorting, greedy, backtracking, dynamic programming, competitive programming and real-world algorithm design.

Positioning: Problem Solving • Data Structures • Algorithms • Competitive Programming • Coding Interviews — Think → Analyse → Design → Code → Optimize. Foundation for Java Full Stack, Data Science & AI, robotics, embedded and industrial programmes. Includes 600+ curated Rasa DSA Problem Bank and weekly Rasa Algorithm Challenge.

What you will learn

  • Computational thinking and 9-step problem-solving methodology
  • Big-O time and space complexity; optimization trade-offs
  • Arrays, strings, linked lists, stacks, queues, hashing patterns
  • Recursion, backtracking, binary trees, BST, advanced trees, heaps
  • Graph representation, BFS/DFS, shortest path, MST, advanced graph algorithms
  • Sorting, searching, greedy algorithms, dynamic programming (1D/2D/advanced)
  • Divide & conquer, bit manipulation, monotonic stack/queue, string algorithms
  • Competitive programming skills and weekly contest structure
  • Coding interview patterns and 5-round mock interviews
  • Real-world capstones: route optimizer, search engine, scheduler, recommendation engine

Full program syllabus

4–6 months · 300–400+ hours · Concept Classes + Coding Labs + Problem-Solving Sessions + Weekly Challenges + Mock Interviews + Capstone

  • Professional Data Structures & Algorithms Program

    4–6 Months | 26 Weeks | 300–400+ Hours — Problem Solving • Data Structures • Algorithms • Competitive Programming • Coding Interviews • Software Engineering. Concept Classes + Coding Labs + Problem-Solving Sessions + Weekly Challenges + Mock Interviews + Capstone.

    Core positioning: Don't just memorize algorithms. Learn how to analyze problems, choose the right data structure, design efficient solutions and write production-quality code.

    Student journey: Programming Fundamentals → Problem Decomposition → Time & Space Complexity → Arrays & Strings → Linked Lists → Stacks & Queues → Hashing → Recursion → Trees → Heaps → Graphs → Sorting & Searching → Greedy → Backtracking → Dynamic Programming → Advanced Algorithms → Competitive Programming → Coding Interviews → Real-World Algorithm Design.

    Primary language: Java (aligned with RIA Java Full Stack pathway); C++ / Python secondary.

    Prepares you for roles including
    • Software Engineer, Java/Full Stack/Backend/Python/C++ Developer
    • Algorithm Engineer, Software Development Engineer, AI/ML Engineer, Data Engineer
    • Embedded Software Engineer, Competitive Programmer
    • Technical interviews at product-based software companies
    Program architecture (17 phases)
    • Phases 1–2 (Wk 1–3): Programming, problem solving, complexity analysis
    • Phases 3–6 (Wk 4–8): Arrays, strings, linked lists, stack, queue, hashing
    • Phases 7–10 (Wk 9–17): Recursion, backtracking, trees, heaps, graphs
    • Phases 11–14 (Wk 18–23): Sorting, searching, greedy, dynamic programming
    • Phases 15–17 (Wk 24–26): Advanced algorithms, competitive programming, interviews & capstone
    Phase 1 — Programming & Problem Solving (Weeks 1–2)
    Module 01 — Programming Fundamentals
    • Java primary (C++/Python secondary): variables, types, operators, conditions, loops, functions, arrays, strings, I/O
    Module 02 — Computational Thinking
    • Problem → Input → Processing → Output; constraints, edge cases, decomposition, brute-force, optimize
    Module 03 — Problem-Solving Methodology
    • Understand → examples → constraints → brute-force → analyse complexity → optimize → code → test → review
    Phase 2 — Complexity Analysis (Week 3)
    Module 04 — Big-O Analysis
    • Time: O(1), O(log n), O(n), O(n log n), O(n²), O(2ⁿ), O(n!)
    • Space: auxiliary, input, recursion stack
    Module 05 — Complexity Optimization
    • Compare O(n²) vs O(n log n) vs O(n); trade memory for speed
    Phase 3 — Arrays & Strings (Weeks 4–5)
    Module 06 — Arrays
    • Static/dynamic arrays, traversal, insertion, deletion, prefix sums
    • Patterns: two pointers, sliding window, frequency counting, partitioning
    Module 07 — Array Problem Solving
    • Max subarray, duplicates, rotation, merge sorted, missing number, subarray/interval problems
    Module 08 — Strings
    • Manipulation, frequency maps, palindromes, anagrams, pattern matching
    • Advanced awareness: string hashing, KMP, trie
    Phase 4 — Linked Lists (Week 6)
    Module 09 — Linked Lists
    • Singly, doubly, circular; insert, delete, search, reverse, traverse
    Module 10 — Linked List Algorithms
    • Reverse, cycle detection, middle, merge, duplicates, intersection, palindrome
    • Project: Custom Linked List Library
    Phase 5 — Stacks & Queues (Week 7)
    Module 11 — Stack
    • Expression evaluation, parentheses, undo, call stack
    • Next greater element, valid parentheses, min stack, infix/postfix
    Module 12 — Queue
    • Simple, circular, deque, priority queue; scheduling, buffering, BFS, task processing
    Phase 6 — Hashing (Week 8)
    Module 13 — Hash Tables
    • Hash function, collisions, chaining, open addressing; Java HashMap, HashSet
    Module 14 — Hashing Patterns
    • Two Sum, frequency counting, group anagrams, longest consecutive sequence
    • When hashing reduces O(n²) to O(n)
    Phase 7 — Recursion & Backtracking (Weeks 9–10)
    Module 15 — Recursion
    • Base condition, call stack, divide and conquer; factorial, Fibonacci, tree traversal, binary search
    Module 16 — Backtracking
    • Choose → Explore → Undo; permutations, combinations, subsets, N-Queens, Sudoku
    Phase 8 — Trees (Weeks 11–13)
    Module 17 — Binary Trees
    • Root, parent, child, leaf, height, depth; preorder, inorder, postorder, level order
    Module 18 — Binary Search Trees
    • Search, insert, delete; balanced trees, height, complexity
    Module 19 — Advanced Trees
    • AVL, red-black, segment trees, Fenwick trees, trie
    • Project: File-system / directory indexing system
    Phase 9 — Heaps & Priority Queues (Week 14)
    Module 20 — Heap
    • Min/max heap, insert, delete, heapify, extract; scheduling, top-K, median
    Module 21 — Heap Algorithms
    • K largest/smallest, Kth largest, merge K sorted lists, running median
    Phase 10 — Graphs (Weeks 15–17)
    Modules 22–23 — Graph Fundamentals & Traversal
    • Adjacency matrix/list; directed, undirected, weighted graphs
    • BFS (queue), DFS (stack/recursion); components, islands, cycle detection, path finding
    Modules 24–26 — Shortest Path, MST & Advanced
    • Dijkstra, Bellman-Ford, Floyd-Warshall; Kruskal, Prim, Union-Find
    • Topological sort, SCC, bipartite, network flow awareness
    • Project: Route Optimization System
    Phase 11 — Sorting (Week 18)
    Module 27 — Basic Sorting
    • Bubble, selection, insertion — implement and analyse limitations
    Module 28 — Efficient Sorting
    • Merge, quick, heap sort; time, space, stability, in-place behaviour
    Module 29 — Non-comparison Sorting
    • Counting sort, radix sort, bucket sort
    Phase 12 — Searching (Week 19)
    Module 30 — Searching
    • Linear O(n), binary O(log n); binary search on answer, rotated arrays, monotonic functions
    Module 31 — Search Problems
    • First/last occurrence, search rotated array, search range, min/max feasible value
    Phase 13 — Greedy Algorithms (Week 20)
    Module 32 — Greedy Strategy
    • Activity selection, fractional knapsack, job scheduling, interval scheduling, minimum platforms
    Module 33 — Greedy vs Dynamic Programming
    • When greedy works vs when it fails
    Phase 14 — Dynamic Programming (Weeks 21–23)
    Module 34 — DP Fundamentals
    • Overlapping subproblems, optimal substructure, state, transition, base case
    Modules 35–36 — 1D & 2D DP
    • Fibonacci, climbing stairs, house robber, coin change
    • Grid paths, 0/1 knapsack, LCS, edit distance
    Module 37 — Advanced DP
    • Interval DP, tree DP, bitmask DP, digit DP awareness
    • Project: Resource Optimization Engine
    Phase 15 — Advanced Algorithms (Week 24)
    Module 38 — Divide & Conquer
    • Merge/quick sort, binary search, recurrence relations
    Module 39 — Advanced Techniques
    • Bit manipulation, prefix sums, difference arrays, monotonic stack/queue, sweep line awareness
    Module 40 — String Algorithms
    • KMP, Rabin-Karp, trie, string hashing
    Phase 16 — Competitive Programming (Week 25)
    Module 41 — Competitive Programming & Rasa Algorithm Challenge
    • Fast I/O, constraint analysis, pattern recognition, optimization, edge cases
    • Weekly contests; difficulty levels ⭐⭐ to ⭐⭐⭐⭐⭐
    Phase 17 — Interview Preparation & Capstone (Week 26)
    Modules 42–44 — Interview Prep
    • Explain: problem, approach, alternatives, complexity, edge cases, code, testing
    • Patterns: two pointers, sliding window, BFS/DFS, backtracking, heap, greedy, DP, prefix sum, monotonic stack
    • 5 mock interview rounds: fundamentals, DS, algorithms, optimization, explanation
    Real-world algorithm applications
    • E-commerce search/ranking, banking/fraud graphs, healthcare scheduling, logistics routing, social graphs, AI optimization
    RASA Algorithm Engineering Challenge — capstone options
    • Option 1 — Delivery Route Optimizer: locations, road network, shortest path
    • Option 2 — E-commerce Search Engine: hashing, trees, trie, sorting, ranking
    • Option 3 — Social Network Analytics: BFS, DFS, recommendations
    • Option 4 — Hospital Resource Optimization: greedy, priority queues, DP
    • Option 5 — AI Recommendation Engine: hashing, similarity, graph relationships
    • Option 6 — Smart Factory Scheduler: connects with Industrial Automation
    Integration with RASA technology programmes
    • Java Full Stack: Java → DSA → Spring Boot → React (programme)
    • AI / ML: Python → DSA → Algorithms → ML (Data Science & AI)
    • Robotics / Drone: C++/Python → DSA → path planning → autonomy
    • Embedded / VLSI / Industrial: algorithms for scheduling, optimization, EDA
    Labs, problem bank, portfolio, certification & assessment
    Four DSA labs
    • Coding Lab (Java/C++/Python), Algorithm Visualization, Problem-Solving Lab (10–20 weekly), Interview Lab
    Rasa DSA Problem Bank — 600+ problems
    • Beginner 100, Intermediate 150, Advanced 100, Interview 150, Competitive 100 — by topic, difficulty, pattern
    15+ portfolio projects
    • Custom ArrayList, linked list, stack, queue, HashMap, sorting/search engines, tree index, graph navigator, route optimizer, scheduling engine, recommendation engine, capstone system
    Three RASA certification levels
    • Level 1 — DSA Foundation Professional: programming + complexity + arrays + strings + linked lists + stack + queue + hashing
    • Level 2 — Professional Algorithm Engineer: trees + graphs + heaps + sorting + searching + greedy + DP
    • Level 3 — Advanced Algorithms & Problem-Solving Professional: advanced algorithms + competitive programming + real-world engineering
    Assessment framework (100%)
    • Programming + Complexity (10%), Arrays + Strings + Linked Lists (15%), Stack + Queue + Hashing (10%), Recursion + Backtracking (10%), Trees + Heaps (15%), Graphs (15%), Sorting + Searching (5%), Greedy + DP (15%), Advanced Algorithms (5%), Capstone + Coding Assessment (10%)

    Six stages: THINK (decomposition) → ANALYSE (complexity) → STRUCTURE (data structure) → ALGORITHM (optimal solution) → IMPLEMENT (clean code) → OPTIMIZE (performance + scalability).

    Toolkit: Java (primary), C++/Python, IntelliJ/VS Code, Git, JUnit, algorithm visualization, online judges, AI coding assistants (with validation discipline).

    Enquire about this program · View full programme page

Common questions

  • Is this just a LeetCode prep course?

    No. This is a professional problem-solving program with structured methodology, complexity analysis, data structure mastery, real-world algorithm applications and capstone engineering — interview prep is one component, not the whole programme.

  • Do I need Java experience?

    Beginners welcome at Level 1. Phase 1 covers programming fundamentals in Java (primary). The programme aligns with RIA's Java Full Stack pathway where DSA feeds directly into Spring Boot and React.

  • How many problems will I solve?

    The Rasa DSA Problem Bank provides 600+ curated problems across beginner, intermediate, advanced, interview and competitive tiers — plus weekly timed challenges and 15+ implementation projects.

Skills you build

  • Systematic problem decomposition and complexity analysis
  • Pattern recognition across 15+ interview algorithm patterns
  • Clean, tested implementation in Java (and C++/Python)
  • Real-world algorithm system design (routing, search, scheduling)
  • Confident technical interview performance

Who this is for

  • Engineering students and diploma learners building software foundations
  • Aspiring software engineers targeting product-company interviews
  • Developers strengthening algorithmic thinking before full stack or AI tracks
  • Competitive programming enthusiasts seeking structured progression

Enquire about DSA

Ready to start this full stack programme?

Enquire with RIA for batch schedules, coding labs and capstone project support.

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