TRISHUL premium pathUpdated 2026

Algorithmic Accelerator

Deep Dive: Why It Works · When To Use · Where It's Applied - Complete 22-Category FAANG Guide

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).

Built forBeginnerIntermediateAdvancedFAANG-Ready Engineers
9.7/10vs the market

Your certificate

TRISHUL

Prong III · Algorithms

PreparationStreet

Certificate of Completion

Algorithm
Accelerator

Why it works, not just how.

Proudly presented to

Your Name

22

categories

88

algorithms

401

problems

Prince SinghPrince SinghFounder & AI Architect, Preparation Street

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Credential ID

PS-ALG-XXXXXXXX

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Algorithm Accelerator

Complete every item in Algorithm Accelerator. Issued with your name and a verifiable ID.

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Categories
22
Patterns
88
Problems
401+
Market rating / 10
9.7

Skills these companies hire for

GoogleGoogleAmazonAmazonMicrosoftMicrosoftMetaMetaAppleAppleNetflixNetflixGoldman SachsGoldman SachsJane StreetJane StreetPalantirPalantirStripeStripeGoogleGoogleAmazonAmazonMicrosoftMicrosoftMetaMetaAppleAppleNetflixNetflixGoldman SachsGoldman SachsJane StreetJane StreetPalantirPalantirStripeStripeGoogleGoogleAmazonAmazonMicrosoftMicrosoftMetaMetaAppleAppleNetflixNetflixGoldman SachsGoldman SachsJane StreetJane StreetPalantirPalantirStripeStripe

Outcomes

What you'll learn

  • 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
Aligned withLeetCodeCodeforcesHackerRankFAANG InterviewsCompetitive Programming

Curriculum

22 categories, in the order that works

Each step builds on the one before it. Open any of them from the sidebar.

  1. 01

    Sorting Algorithms

    5 patterns · 17 problems

  2. 02

    Arrays - Prefix Sum, Subarray & Partitioning Patterns

    New

    4 patterns · 20 problems

  3. 03

    Binary Search & Variants

    6 patterns · 23 problems

  4. 04

    Linked List - Floyd, Fast-Slow, Reverse & Merge

    New

    4 patterns · 21 problems

  5. 05

    Recursion & Backtracking - Subsets, Permutations, N-Queens

    New

    4 patterns · 22 problems

  6. 06

    Bit Manipulation - XOR, Masking, Brian Kernighan

    New

    4 patterns · 22 problems

Your path

Start where you are

Pick the track that matches your level - it tells you exactly what to open first.

Absolute beginner

  1. 1Start: Sorting
  2. 2Arrays
  3. 3Binary Search. For each algorithm: read Core Insight first, then Algorithm steps, then solve only Easy problems until mental model clicks.

Market comparison

How it stacks up against the alternatives

Premium Algorithm Mechanics & FAANG Preparation Roadmap

9.7
Overall rating / 10
Content depth
9.8
Industry relevance
9.7
Hiring alignment
9.8
Practicality
9.6
Production relevance
9.2
Beginner friendliness
8.5
Compare with

Ahead of the average alternative on 17 of 18 features, by +5.5 points on average.

This productAverage of alternatives Other alternatives

Basic Pattern Recognition

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

0246810

Where most courses fall short

  • Only teach patterns without explaining why they work
  • No formal complexity derivation - just state Big-O
  • No interview trap coverage - candidates fail on edge cases
  • Skip advanced DP variants (digit, bitmask, tree, stocks)
  • Missing math and number theory entirely
  • Trie coverage stops at basic insert/search - no XOR trie
  • No comparative algorithm analysis (when Dijkstra vs Bellman-Ford?)
  • No real-world application context for each algorithm
  • No recognition clue system for unseen problems
  • Incomplete linked list coverage - skip LRU, skip Floyd's proof
  • Bit manipulation stops at basics - no bitmask DP
  • Backtracking taught by memorization not by framework

What this product does instead

  • Teaches the WHY - formal reasoning behind every algorithm
  • Interview Trap section - exact failure modes that eliminate FAANG candidates
  • Recognition Clue section - turn unseen problems into recognized patterns in under 60 seconds
  • Most complete algorithm coverage in one place - 88 patterns across 22 categories
  • Advanced DP coverage competitors ignore entirely
  • Real-world company application for every pattern - not just abstract problems
  • Comparative analysis framework - never wonder again which algorithm to pick
  • Strong FAANG hiring alignment - built around what actually gets asked
  • Covers everything from Sorting to Segment Trees in one roadmap
  • Complexity derived from first principles - not just memorized

Strongest sections

  1. Algorithm Mechanics (Why It Works)

    Rarely taught in market - most courses only show code

    10/10

  2. Interview Trap Coverage

    Exact failure modes for every algorithm - eliminates FAANG mistakes

    10/10

  3. Recognition Clue System

    Keyword-driven pattern identification for unseen problems

    10/10

  4. Advanced DP (Bitmask, Digit, Tree, Stock State Machine)

    Competitors skip this entirely - FAANG differentiator

    9.9/10

  5. Multi-Level Tree Coverage (Binary Tree + BST)

    Complete traversals, LCA, diameter, reconstruction, conversion - all in one

    9.9/10

  6. Math & Number Theory

    GCD, Sieve, Modular Arithmetic, Fast Power, Combinatorics - missing everywhere else

    9.7/10

Audience

Who this is for

  • FAANG Interview Candidates
  • Competitive Programmers
  • Engineers wanting algorithm depth not just patterns
  • Mid-level to Senior engineers preparing for top-tier interviews
Start today

Your first step takes five minutes.

Open the first categorie and progress is tracked for you from there.

22 categories Progress tracked per item Certificate on completion

Support