Chapter 65: DSA Syllabus

DSA Syllabus – A Complete, Realistic, and Practical Guide (2025–2026)

Let me explain the DSA syllabus the way a senior who has already placed or a good college teacher would explain it to a serious 2nd/3rd/4th-year student who wants to prepare properly — not just for one company, but to become strong overall.

This is the real syllabus that almost every student who cracks good product-based companies (Google, Amazon, Atlassian, Uber, Flipkart, Microsoft, Goldman Sachs, startups paying 25–60+ LPA) actually studies.

Two ways people look at DSA Syllabus

  1. Topic-wise syllabus (what most people ask for)
  2. Real preparation roadmap with priority & timeline (what actually works)

I will give you both — first the detailed topic-wise syllabus, then a realistic timeline + priority order.

1. Complete Topic-wise DSA Syllabus (2025–2026)

This is the list that covers ~95% of questions asked in placements / off-campus drives / internships.

Phase 1 – Foundation & Basics (1–1.5 months)

  1. Time & Space Complexity
    • Big-O, Big-Ω, Big-Θ
    • Best / Average / Worst case
    • Amortized analysis (very important)
    • Common complexities table (O(1), log n, n, n log n, n², 2ⁿ)
  2. Arrays – Very High Weightage
    • Two Pointers
    • Sliding Window (fixed & variable size)
    • Prefix Sum / Suffix Sum
    • Kadane’s Algorithm (max subarray sum)
    • Dutch National Flag (sort 0s,1s,2s)
    • Sort array of 0s,1s,2s without extra space
    • Rotate array / Juggling algorithm
    • Stock Buy Sell (multiple variations)
    • Trapping Rain Water (very important)
  3. Hashing / HashMap / HashSet
    • Two Sum / 3Sum / 4Sum
    • Longest Consecutive Sequence
    • Subarray Sum Equals K
    • Longest Substring Without Repeating Characters
    • Group Anagrams
    • Top K Frequent Elements
    • LRU Cache (must do)
  4. Binary Search (including binary search on answer)
    • Search in rotated sorted array
    • Find minimum in rotated sorted array
    • Search a 2D matrix
    • Koko Eating Bananas
    • Capacity to Ship Packages
    • Aggressive Cows / Painter’s Partition / Book Allocation
    • Median of two sorted arrays

Phase 2 – Core Data Structures (2–3 months)

  1. Linked List
    • Reverse (iterative + recursive)
    • Middle of linked list (fast-slow pointer)
    • Detect & Remove cycle (Floyd’s)
    • Merge two sorted lists
    • Remove nth from end
    • Add two numbers (linked list)
    • Palindrome linked list
    • LRU Cache (again – very important)
  2. Stack & Queue
    • Valid Parentheses / Next Greater Element / Next Smaller
    • Largest Rectangle in Histogram
    • Sliding Window Maximum
    • Implement Stack using Queue / Queue using Stack
    • Min Stack / Design Stack with O(1) min
  3. Binary Tree
    • Traversals (pre/in/post/level – recursive + iterative)
    • Height / Diameter / Max Path Sum
    • Invert / Mirror tree
    • Lowest Common Ancestor (LCA)
    • Same Tree / Symmetric Tree
    • Zigzag Level Order
    • Vertical Order Traversal
    • Top / Bottom / Right View
  4. Binary Search Tree
    • Validate BST
    • Kth smallest / largest
    • Floor / Ceil in BST
    • LCA in BST
    • Inorder successor / predecessor
    • Delete node in BST
  5. Heap / Priority Queue
    • Kth largest / smallest element
    • Merge K sorted lists
    • Top K frequent elements
    • Sliding Window Maximum
    • Connect n ropes with minimum cost

Phase 3 – Advanced & High-weightage Topics (2–4 months)

  1. Graph – BFS & DFS
    • Number of Islands
    • Rotten Oranges
    • Word Ladder
    • Course Schedule (topological sort + cycle)
    • Clone Graph
    • Pacific Atlantic Water Flow
    • Bipartite Graph check
  2. Graph – Shortest Path
    • BFS (unweighted)
    • Dijkstra (non-negative weights)
    • Bellman-Ford (negative weights)
    • Floyd-Warshall (all pairs)
  3. Minimum Spanning Tree
    • Kruskal (Union-Find)
    • Prim’s (priority queue)
  4. Greedy
    • Activity Selection
    • Fractional Knapsack
    • Huffman Coding
    • Job Sequencing with Deadline
    • N meetings in one room
    • Jump Game I & II
  5. Dynamic Programming (most important & most asked)
    • 1D DP: Climbing Stairs, House Robber, Coin Change, Partition Equal Subset Sum
    • 2D DP: Longest Common Subsequence, Edit Distance, Minimum Path Sum
    • DP on grids: Unique Paths, Dungeon Game, Cherry Pickup
    • DP on strings: Longest Palindromic Substring, Regular Expression Matching
    • DP with bitmasking (very hard but high reward)
    • DP on trees (very high frequency now)
  6. Trie / Prefix Tree
    • Implement Trie
    • Word Search II
    • Design Add and Search Words Data Structure
    • Longest Word in Dictionary
  7. Bit Manipulation
    • Single Number / Missing Number
    • Reverse Bits
    • Power of Two
    • Subsets (bitmasking)
  8. Advanced / Less Frequent but High Reward
    • Segment Tree / Fenwick Tree (Binary Indexed Tree)
    • Disjoint Set Union (Union-Find with path compression & rank)
    • KMP / Z-algorithm (string matching)
    • Suffix Array / Suffix Tree (rare but very high reward)

Realistic Timeline & Priority Order (2025–2026)

If you have 4–8 months of serious preparation:

Month 1–2: Arrays, Hashing, Two Pointers, Binary Search, Linked List Month 3: Stack, Queue, Binary Tree traversals & easy-medium problems Month 4: BST, Heap, Graph BFS/DFS, Greedy Month 5–6: Dynamic Programming (most important phase – take time) Month 7+: Revision + company-specific lists + hard graph/DP problems

Summary – What a realistic DSA Syllabus looks like

Core must-have topics (solve 150–250 good problems here)

  1. Arrays + Hashing
  2. Two Pointers / Sliding Window
  3. Binary Search + Binary Search on Answer
  4. Linked List
  5. Stack & Queue
  6. Binary Tree & BST
  7. Heap / Priority Queue
  8. Graph (BFS + DFS + Cycle + Shortest Path)
  9. Greedy
  10. Dynamic Programming (1D, 2D, state-based)

High-reward extra topics (solve 30–50 problems each if you have time)

  • Trie
  • Bit Manipulation
  • Segment Tree / Fenwick Tree
  • Advanced Graph (Dijkstra, Bellman-Ford, MST, Topological Sort)

If you want, I can now give you:

  • 50–70 most repeated interview problems (with LeetCode links if you want)
  • Detailed 3-month / 6-month preparation plan
  • One specific topic (e.g. DP, Graph, Binary Search) with 8–10 strong problems
  • How to practice (LeetCode vs Codeforces vs GfG vs Striver sheet)

Just tell me what you want next — I’ll make it as detailed and realistic as possible 😊

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