System Design Interview Prep:
A Beginner's Roadmap

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Introduction

Acing Data Structures and Algorithms (DSA) is critical to acing coding interviews, competitive programming, and technical tests. IIT toppers follow a systematic method to DSA that blends discipline, strategic planning, and regular practice. Here, in this blog, we present a detailed 30-day DSA preparation plan motivated by the methods adopted by IIT toppers to assist you in establishing a strong foundation and becoming proficient in DSA.


Weekly Roadmap

Week 1: Foundations and Basic Data Structures

Day 1: Introduction to DSA and Time Complexity

  • Learn the significance of DSA in problem-solving.
  • Learn about time and space complexity.
  • Learn about Big O, Big Theta, and Big Omega notations.

Day 2-3: Arrays

  • Learn arrays and their types.
  • Practice the basic operations: traversal, insertion, deletion.
  • Practice problems on platforms such as LeetCode or GeeksforGeeks.

Day 4-5: Linked Lists

  • Learn singly and doubly linked lists.
  • Implement basic operations: insertion, deletion, traversal.
  • Practice related problems.

Day 6: Stacks

  • Learn stack operations: push, pop, peek.
  • Implement stacks as arrays and linked lists.
  • Solve problems that involve stack usage.

Day 7: Queues

  • Study queues and their types: simple, circular, priority.
  • Implement queue operations: enqueue, dequeue.
  • Practice problems on queue operations.

Week 2: Advanced Data Structures

Day 8-9: Hashing

  • Study hash functions and hash tables.
  • Implement basic operations: insertion, deletion, search.
  • Solve problems that involve hashing techniques.

Day 10-11: Trees

  • Study binary trees, binary search trees (BST).
  • Implement tree traversal methods: inorder, preorder, postorder.
  • Solve problems that are related to tree operations.

Day 12-13: Heaps

  • Read about heaps and their categories: min-heap, max-heap.
  • Implement heap operations: insertion, deletion.
  • Practice problems of heap applications.

Day 14: Graphs

  • Know graph representations: adjacency matrix, adjacency list.
  • Read graph traversal algorithms: BFS, DFS.
  • Practice problems of graph traversal.

Week 3: Algorithms and Problem-Solving Techniques

Day 15-16: Sorting Algorithms

  • Read different sorting algorithms: bubble sort, merge sort, quicksort.
  • Know their time complexities.
  • Implement and compare sorting algorithms.

Day 17-18: Searching Algorithms

  • Read about binary search and linear search.
  • Implement searching algorithms.
  • Find problems related to searching techniques.

Day 19-20: Backtracking

  • Learn the backtracking technique.
  • Practice problems like N-Queens, Sudoku Solver.
  • Practice problems to solidify the concept.

Day 21: Divide and Conquer

  • Learn divide and conquer approach.
  • Practice problems like merge sort, quicksort.
  • Implement divide and conquer algorithms.

Week 4: Advanced Topics and Mock Interviews

Day 22-23: Dynamic Programming

  • Learn the dynamic programming concept.
  • Study problems such as Fibonacci series, knapsack problem.
  • Implement dynamic programming solutions.

Day 24-25: Greedy Algorithms

  • Study greedy algorithms.
  • Practice problems like activity selection, coin change problem.
  • Practice greedy algorithm problems.

Day 26-27: Bit Manipulation

  • Practice bitwise operations.
  • Practice problems using bit manipulation methods.

Day 28-29: Sliding Window and Two Pointers

  • Learn about sliding window technique.
  • Learn about two pointers technique.
  • Practice problems using these methods.

Day 30: Mock Interviews and Problem Solving

  • Practice mock interviews to get a feel of actual interview environment.
  • Practice problems of various types to check your skills.
  • Review your performance and work on improving.

Conclusion

This 30-day DSA study plan is made to assist you in developing a solid foundation in data structures and algorithms based on the methodology of IIT toppers. Regular practice, clear concepts, and problem-solving are essential to mastering DSA. Keep in mind that the path to proficiency needs commitment and determination. Stay focused, and you’ll notice considerable improvement in your problem-solving skills.


FAQs

Q1: How many hours a day should I spend on this study plan?

A1: It’s advisable to spend 4–6 hours every day if you’re new. If you’re already familiar with some of the concepts, 2–3 hours can be enough. Consistency is better than the amount of time spent.

Q2: What are the resources that I should practice with?

A2: LeetCode, GeeksforGeeks, and HackerRank are some platforms that provide ample problems in terms of difficulty and subject. Use these websites in order to practice on a regular basis.

Q3: How do I monitor my progress?

A3: Keep a study diary or use an electronic tool to record the subjects you have studied and the questions you have solved. Periodic review of your progress assists in determining areas that require additional attention.

Q4: Must one strictly adhere to this plan?

A4: Although the plan is given in a well-structured format, you are free to modify it as per your speed and clarity. The aim is to understand the concepts clearly.

Q5: How do I keep myself motivated during this plan?

A5: Break down large goals into small, manageable pieces and treat yourself when finished. Participating in online forums or study groups may also be motivating and assistive.


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