Advanced Tree Interview Patterns: Segment Trees, Fenwick Trees, Trie Operations, BST Validation (2025)
7 min read Segment Tree A segment tree answers range queries (range sum, range minimum) in O(log n) and supports point or range […] Read article
Master fundamental and advanced algorithms essential for technical interviews at top companies. This category covers sorting algorithms, search algorithms, graph algorithms, and optimization techniques that form the foundation of computer science problem-solving.
What You’ll Learn:
Sorting algorithms: Quick sort, merge sort, heap sort
Search techniques: Binary search and variations
Graph algorithms: DFS, BFS, Dijkstra’s, topological sort
Optimization: Dynamic programming, greedy algorithms
Time and space complexity analysis
Difficulty Progression: Start with basic sorting and searching, then progress to graph algorithms and dynamic programming.
Interview Frequency: Extremely high – algorithms appear in 80%+ of technical interviews at Google, Amazon, Facebook, Microsoft, and Apple.
7 min read Segment Tree A segment tree answers range queries (range sum, range minimum) in O(log n) and supports point or range […] Read article
6 min read When to Use 2D DP 2D DP uses a table dp[i][j] where i and j represent positions in two sequences, Read article
5 min read The Sliding Window Technique for Strings A sliding window maintains a contiguous substring without re-scanning from scratch. Two pointers (left Read article
6 min read Why Sorting Matters in Interviews Sorting is foundational: dozens of problems become O(n log n) after sorting (two-sum, 3-sum, interval Read article
5 min read Matrix as a Graph A 2D matrix is an implicit graph where each cell (r, c) is a node connected Read article
5 min read Interval Problems: Core Insight Interval problems involve ranges [start, end]. The key operations: merge overlapping intervals, find non-overlapping sets, detect Read article
5 min read Prefix Sum Interview Patterns Prefix sums transform range sum queries from O(n) to O(1) after O(n) preprocessing. They also underlie Read article
5 min read Interval Problem Fundamentals Interval problems involve ranges [start, end] and ask about overlaps, merges, insertions, or optimal scheduling. The key Read article
7 min read The 0/1 Knapsack Pattern The 0/1 Knapsack problem is one of the most important DP patterns — its structure appears Read article
6 min read Union-Find (Disjoint Set Union) Interview Patterns Union-Find (DSU) solves the dynamic connectivity problem: given a graph where edges are added Read article
6 min read Interval Algorithm Patterns Interval problems appear constantly in coding interviews — at Google, Meta, Airbnb, and Uber. The key skill: Read article
6 min read Dynamic Programming on Strings String DP problems are among the most common in technical interviews, especially at Meta, Amazon, and Read article
9 min read Low-Level Design: Food Delivery System (OOP Interview) The food delivery system (DoorDash/Uber Eats style) is a rich OOP design problem Read article
8 min read Low-Level Design: Chat Application (OOP Interview) A chat application combines real-time messaging, user management, conversation threading, and notification delivery. It’s Read article
9 min read Graph Traversal Interview Patterns (2025) Graph problems are among the most common in FAANG interviews — they appear as network Read article