ankurvaishley / ProblemSolving-Squad

Problem Solving Squad Roadmap

Problem solving Squad roadmap

Important topics

Level 0

• Intro & Basics
  • Data Types
  • Variables
  • I/O
  • Conditional statement
• Loops & Arrays
• Strings & Functions
• Complexity & Binary Search

Level 1

• Ad-hoc problems
  • Freq. Array
  • Cumulative Sum
  • Two Pointers
  • Greedy
  • Sliding Windows
• STL I [Linear Containers]
  • Vectors
  • Queues
  • Deques
  • Stacks
  • Pairs
• STL II [Non-Linear Containers]
  • Map
  • Set
  • Priority
  • Queue & Structs
• Bit-masking & Iterative Brute Force
• Recursion & Recursive Brute Force

Level 2

• Math I

  • Primes
  • Sieve
  • Factorization
  • Factorial
  • GCD & LCM

• Math II

  • Fibonacci
  • Big-integer
  • Modular Arithmetic
  • Binary Exponentiation

• Math III

  • Permutations & Combinations
  • Preprocessing

• DP I

  • Intro
  • MaxRangeSum
  • KnapSack
  • CoinChange

• DP II

  • Longest Increasing Subsequence (LIS)
  • Longest Common Subsequence (LCS)
  • Consecutive Dynamic Ranges

• Graphs

  • Graph Traversal and Basic Algorithms
    • Graph Traversal
    • Articulation Points and Bridges
    • Bridge Tree
    • Strongly Connected Components
    • Kosaraju Algorithm
    • Biconnected Components
  • Shortest Path
    • Single-Source Shortest Path
    • All-Pairs Shortest Path
  • Minimum Spanning Tree
    • Prim's Algorithm
    • Kruskal's Algorithm
  • Special Graphs
    • Euler Tour (for Eulerian Graphs)
    • Maximum Cardinality Bipartite Matching
  • Max Flow
    • Edmonds-Karp Algorithm
    • Dinic's Algorithm
    • Tarjan's (Push-Relabel) Algorithm- Geometry

• Strings algorithms

  • Prefix Automaton (KMP)
  • Suffix Trie
  • Suffix Array
  • Suffix Automaton
  • Aho Corasick
  • Z Algorithm
  • Manacher

Related

Junior training sheet (by: Dr. Mostafa Saad)

Dr. Mostafa Saad:

Please, check out the sheet before reading. The sheet is:

Complete and consistent roadmap for newcomers: What to solve & algorithms to learn in order

In the bottom row, there are different sheet pages such as Faq, Topics, CF-C2

CF-C1, C2 are (Codeforces Div2 C problems (or similar level from other OJs), but from easy to hard). Same for CF-D1, D2, D3

Covering most of the topics needed up to Codeforces Div2-D

Problems increase in difficulty per topic with intermediate easy/medium problems + ad-hoc problems

Speed problems to maintain speed goals

• One can train in one of the following ways:

  • Blind-Order training style:

      Problems are distributed in sheets CF-A, CF-B, CF-C1, ....CF-D3
    
      It targets learning the knowledge/skills in a consistent and balanced way
    
      Every sheet page is on average harder than the previous sheet page
    
      This is my recommended way, though most camps/training-approaches don't use this style
    

  • Topics-Based training style:

      See the sheet page (Topics1). It has the same sheet problems (CF-A to CF-D3) ordered by category and level, around 950 problems. Also checkout Topics2 page
    
      Ideas Quality column: P5 (important), P4(very interesting), P3(interesting), P2(good), P1(ok), Empty (normal)
    
      You can train using Blind-Order, and use Topics page as a guide to skip some problems
    
      Advantage: Mastering the algorithm till solving some hard problems in a short time
    
      Disadvantage: Discovering the algorithm behind the problem is an important skill. Given that you know the topic, you lose a good space to improve this skill
    
      Disadvantage: Being in the mode of specific algorithm lets you solve many of it easier. However, when solving in real contests, your mind is not so active on the specific topic