Programming & Development / April 19, 2025

Must-Know Data Structures and Algorithms with LeetCode Problem Examples

data structures algorithms leetcode coding interview prep must-know topics arrays linked list trees graphs dynamic programming backtracking Java problem solving

To excel in coding interviews and effectively solve problems on platforms like LeetCode, it’s essential to master key data structures and algorithms. Below is a curated list of the most important concepts, each with a brief description and representative LeetCode problems.

1. πŸ“¦ Arrays and Strings

Operations: Traversal, insertion, deletion, searching, sorting

Common Problems:

  • Two Sum (LeetCode #1)
  • Longest Substring Without Repeating Characters (LeetCode #3)
  • Find the Duplicate Number (LeetCode #287)

2. πŸ”— Linked Lists

Operations: Insertion, deletion, reversal, node manipulation

Common Problems:

  • Reverse Linked List (LeetCode #206)
  • Add Two Numbers (LeetCode #2)
  • Merge Two Sorted Lists (LeetCode #21)

3. πŸ₯ž Stacks and Queues

Operations: Push, pop, peek, enqueue, dequeue

Common Problems:

  • Valid Parentheses (LeetCode #20)
  • Min Stack (LeetCode #155)
  • Implement Queue using Stacks (LeetCode #232)

4. 🌲 Trees

Operations: Traversals (in-order, pre-order, post-order), insertion, deletion

Common Problems:

  • Binary Tree Inorder Traversal (LeetCode #94)
  • Maximum Depth of Binary Tree (LeetCode #104)
  • Symmetric Tree (LeetCode #101)

5. 🌐 Graphs

Operations: DFS, BFS, shortest path, cycle detection

Common Problems:

  • Number of Islands (LeetCode #200)
  • Clone Graph (LeetCode #133)
  • Course Schedule (LeetCode #207)

6. 🧠 Hash Tables

Operations: Insertion, lookup, deletion

Common Problems:

  • Two Sum (LeetCode #1)
  • Group Anagrams (LeetCode #49)
  • Longest Consecutive Sequence (LeetCode #128)

7. πŸ›ž Heaps (Priority Queues)

Operations: Insert, extract min/max, peek

Common Problems:

  • Top K Frequent Elements (LeetCode #347)
  • Merge k Sorted Lists (LeetCode #23)
  • Kth Largest Element in an Array (LeetCode #215)

8. πŸ” Sorting and Searching

Algorithms: Quick Sort, Merge Sort, Binary Search

Common Problems:

  • Binary Search (LeetCode #704)
  • Merge Intervals (LeetCode #56)
  • Search in Rotated Sorted Array (LeetCode #33)

9. πŸ“ˆ Dynamic Programming

Techniques: Memoization, Tabulation

Common Problems:

  • Climbing Stairs (LeetCode #70)
  • Longest Increasing Subsequence (LeetCode #300)
  • Partition Equal Subset Sum (LeetCode #416)

10. πŸ”„ Backtracking

Techniques: Recursive exploration, pruning

Common Problems:

  • Permutations (LeetCode #46)
  • Combination Sum (LeetCode #39)
  • N-Queens (LeetCode #51)

11. 🧭 Graph Algorithms (Advanced)

Algorithms: Dijkstra’s, Bellman-Ford, Floyd-Warshall

Common Problems:

  • Minimum Spanning Tree (LeetCode #1135)
  • Network Delay Time (LeetCode #743)

πŸ“ Final Thoughts

Mastering these data structures and algorithmic strategies β€” and practicing through LeetCode β€” will significantly boost your coding interview performance and problem-solving confidence.


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