90-Day Super Advanced Algorithm Study Roadmap

Congratulations on taking on the challenge of a 90-day super-advanced algorithm study! This roadmap covers a broad range of advanced topics to deepen your understanding of algorithms. Adjust the pace based on your prior knowledge and availability.

Week 1-2: Advanced Data Structures

• Day 1-3: B-Trees and B+ Trees
• Day 4-7: Trie and Suffix Tree

Week 3-4: Advanced Sorting and Searching

• Day 8-10: External Sorting
• Day 11-14: Interpolation Search and Exponential Search
• Day 15-17: Tournament Tree and Cartesian Tree

Week 5-6: String Algorithms

• Day 18-21: Rabin-Karp Algorithm
• Day 22-24: Knuth-Morris-Pratt Algorithm
• Day 25-27: Manacher's Algorithm

Week 7-8: Advanced Dynamic Programming

• Day 28-30: Advanced DP Problems on LeetCode
• Day 31-33: Dynamic Programming Optimization Techniques
• Day 34-36: Matrix Chain Multiplication and Longest Increasing Subsequence

Week 9-10: Graph Algorithms

• Day 37-40: Advanced Graph Traversals
• Day 41-43: Network Flow Algorithms - Ford Fulkerson and Edmonds-Karp
• Day 44-46: Minimum Spanning Tree - Prim's and Kruskal's

Week 11-12: Randomized Algorithms and Complexity Theory

• Day 47-50: Monte Carlo and Las Vegas Algorithms
• Day 51-54: NP-Completeness and Reductions
• Day 55-58: Approximation Algorithms
• Day 59-60: Advanced Problems on Complexity Theory

Week 13-14: Specialized Topics

• Day 61-64: Quantum Computing and Quantum Algorithms
• Day 65-68: Parallel Algorithms
• Day 69-72: Bioinformatics Algorithms
• Day 73-76: Machine Learning Algorithms with a focus on algorithms used in models
• Day 77-80: Game Theory Algorithms

Week 15-16: Real-World Applications and Advanced Problems

• Day 81-84: Solving Real-World Problems using Advanced Algorithms
• Day 85-87: Participate in Algorithmic Competitions (Codeforces, Topcoder, etc.)
• Day 88-90: Work on a Final Advanced Project

This roadmap is ambitious, and it's crucial to supplement your learning with practical implementations, coding challenges, and real-world applications. Continuous practice and participation in algorithmic communities will enhance your skills. Best of luck on your super-advanced algorithm study journey!