Algorithmic Accelerator
Go beyond pattern recognition - master the deep mechanics of EVERY core algorithm. 22 categories, 88 algorithms, 400+ curated problems. For each algorithm: Core Insight (why it works formally), Complexity Derivation (from first principles), When to Choose (vs alternatives), Recognition Clues (spot it in unseen problems), Real-World Applications, and Interview Traps (exact failure modes).
22
Categories
88+
Patterns
401+
Problems
2026
Updated
Side-by-side comparison across 18 industry-critical features
DSA Leading Score
Content Depth
9.8
Industry Rel.
9.7
Production
9.2
Trend Align
9.5
Practicality
9.6
Hiring Align
9.8
Rarely taught in market — most courses only show code
Exact failure modes for every algorithm — eliminates FAANG mistakes
Keyword-driven pattern identification for unseen problems
Competitors skip this entirely — FAANG differentiator
Complete traversals, LCA, diameter, reconstruction, conversion — all in one
GCD, Sieve, Modular Arithmetic, Fast Power, Combinatorics — missing everywhere else
Algorithm Mechanics (Why It Works)
Complexity Derivation from First Principles
Interview Trap Coverage
Real-World Application Mapping
Recognition Clue System
Comparative Algorithm Analysis (A vs B)
Bit Manipulation Deep Dive
Advanced DP (Bitmask, Digit, Tree, Stock)
Full Binary Tree Coverage
FAANG Interview Alignment
Beyond Pattern Memorization
Most courses teach you to recognize patterns by rote. This roadmap builds the first-principles reasoning that lets you derive solutions to problems you've never seen.
Traditional DSA Courses
Pattern memorization without understanding
Copy-paste pattern recognition
Commonly taught across generic DSA platforms
State Big-O without derivation
Commonly taught across generic DSA platforms
No interview trap coverage
Commonly taught across generic DSA platforms
Skip advanced DP variants
Commonly taught across generic DSA platforms
Missing math & number theory
Commonly taught across generic DSA platforms
Backtracking taught by memorization
Commonly taught across generic DSA platforms
Algorithmic Accelerator
First-principles algorithm mastery
Algorithm Mechanics (Why It Works)
Formal reasoning behind every algorithm - not just code to copy.
Complexity Derivation from Scratch
Build Big-O from first principles - never just memorize it again.
Interview Trap Coverage
Exact failure modes that eliminate FAANG candidates - covered for every pattern.
Recognition Clue System
Keyword-driven pattern ID - solve unseen problems in under 60 seconds.
Advanced DP (Bitmask, Digit, Tree, Stocks)
Complete DP coverage competitors skip entirely - the FAANG differentiator.
Math, Tries & Segment Trees
GCD, Sieve, XOR Trie, Fenwick Tree - the 20% that separates good from great.
What's Inside
Sorting Algorithms
Arrays - Prefix Sum, Subarray & Partitioning Patterns
Binary Search & Variants
Linked List - Floyd, Fast-Slow, Reverse & Merge
Recursion & Backtracking - Subsets, Permutations, N-Queens
Bit Manipulation - XOR, Masking, Brian Kernighan
Stack & Queue - Implementations, Monotonic & Expression Parsing
Sliding Window & Two Pointers
Heaps & Priority Queue - Top-K, K-Way Merge, Median
Graph Traversal
Shortest Path Algorithms
MST & Union-Find
Binary Trees - Traversals, LCA, Diameter & Path Problems
Binary Search Trees - Operations, Validate & Convert
Greedy Algorithms
Dynamic Programming: Linear
Dynamic Programming: 2D & Interval
Dynamic Programming: Advanced - Stocks, Bitmask, Digit & Tree DP
String Pattern Matching
Tries - Prefix Search, XOR, Autocomplete & Word Problems
Math & Number Theory - GCD, Sieve, Modular Arithmetic & Fast Power
Advanced Data Structures - Segment Tree & Fenwick Tree
How to Use This Sheet
absolute beginner
Start: SortingArraysBinary Search. For each algorithm: read Core Insight first, then Algorithm steps, then solve only Easy problems until mental model clicks.
beginner to intermediate
After Sorting/Arrays/Binary Search: Linked ListRecursion/BacktrackingBit ManipulationStack/Queue. These build mechanical intuition for everything else.
intermediate
Trees (Binary + BST)HeapsGreedyLinear DPGraph Traversal. Build the decision framework: given a problem, identify the right structure in 30 seconds.
Advanced
Shortest PathMST2D DPAdvanced DPString MatchingTries. These are FAANG differentiators. Study every Interview Trap.
competitive programming
Math & Number Theory + Bitmask DP + Segment Tree/BIT + DP Optimizations (Divide & Conquer, Convex Hull Trick). These separate top-1% competitive programmers.
interview ready
Use Recognition Clue section on mixed LeetCode problem sets. Target: identify algorithm category in under 60 seconds. Timing: Easy <10 min, Medium <20 min, Hard <35 min. Focus on Interview Trap section before your interview.
Key Features
- 88 algorithms across 22 categories - every core DSA algorithm with deep intuition
- Core Insight + Complexity Derivation + When to Choose + Interview Trap for every single pattern
- Recognition Clue section - keywords, problem patterns, real-world applications for instant identification
- 400+ curated LeetCode problems ordered concept-builder → interview-hard
- Arrays, Linked List, Recursion/Backtracking, Bit Manipulation, Stack/Queue
- Heaps (Top-K, K-Way Merge, Two Heaps Median, Task Scheduling)
- Binary Trees (all traversals, LCA, diameter, path problems, tree DP)
- BST (insert/delete/validate/reconstruct/convert)
- Advanced DP - Stock State Machine, Digit DP, Bitmask DP, Tree DP, DP Optimization
- Tries - Standard, XOR Trie, Word Search II pattern, Aho-Corasick basis
- Math & Number Theory - GCD, Sieve, Modular Arithmetic, Fast Power, Combinatorics
- Fenwick Tree (BIT) added alongside Segment Tree with lazy propagation
- Complete coverage matching SDE interview topics: Arrays, LinkedList, Recursion, Bits, Stack, Heaps, Graphs, Trees, DP, Strings, Tries, Math