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Implement 2020 solutions - Days 19-25 #10

Description

@dneff

Summary

Complete 2020 Advent of Code implementation with Days 19-25 (13 solution files). Finish Phase 2's first complete year with advanced parsing, optimization, and complex computational challenges.

Phase Information

Scope: 2020 Days 19-25 Solutions

Convert 13 Python solution files, completing the 2020 year (49 total files):

  • Day 19: Context-free grammar → Recursive parsing
  • Day 20: Tile puzzles → Complex 2D matching algorithms
  • Day 21: Logic puzzles → Constraint satisfaction
  • Day 22: Card games → Game simulation and recursion
  • Day 23: Circular lists → Linked list optimization
  • Day 24: Hexagonal grids → Alternative coordinate systems
  • Day 25: Cryptographic keys → Discrete logarithm problem

Technical Focus Areas

Advanced Parsing

  • Context-free grammars: Recursive rule evaluation
  • Pattern matching: Complex string validation with backtracking
  • Rule expansion: Dynamic grammar generation

Complex Data Structures

  • Tile manipulation: 2D rotation, flipping, edge matching
  • Circular linked lists: Efficient insertion and removal
  • Hexagonal coordinates: Alternative grid systems
  • Game state management: Complex recursive game simulation

Optimization Challenges

  • Performance critical: Multi-million iteration problems
  • Memory management: Large data structure manipulation
  • Algorithm efficiency: Choose optimal data structures

Implementation Requirements

File Structure

javascript/2020/
├── 19/
│   ├── solution1.js  # Grammar validation
│   ├── solution2.js  # Modified grammar rules
│   └── input.txt
├── 20/
│   ├── solution1.js  # Tile edge matching
│   ├── solution2.js  # Complete image assembly
│   └── input.txt
... (through Day 25)

Day-by-Day Implementation Guide

Day 19: Monster Messages

  • Part 1: Validate messages against context-free grammar
  • Part 2: Handle recursive grammar rules
  • Helper usage: String parsing, recursive validation
  • Complexity: Context-free grammar parsing with cycles

Day 20: Jurassic Jigsaw

  • Part 1: Match tile edges to form square
  • Part 2: Assemble complete image and find sea monsters
  • Helper usage: 2D transformations, pattern matching
  • Complexity: Constraint satisfaction with geometric transformations

Day 21: Allergen Assessment

  • Part 1: Find ingredients without allergens
  • Part 2: Map allergens to ingredients
  • Helper usage: Set operations, constraint solving
  • Complexity: Logic puzzle with process of elimination

Day 22: Crab Combat

  • Part 1: Simple card game simulation
  • Part 2: Recursive card game with infinite game prevention
  • Helper usage: Game state management, recursion detection
  • Complexity: Complex recursive game simulation

Day 23: Crab Cups

  • Part 1: Circular list manipulation (100 moves)
  • Part 2: Optimized circular list (10 million moves)
  • Helper usage: Efficient data structures
  • Complexity: High-performance circular linked list

Day 24: Lobby Layout

  • Part 1: Hexagonal coordinate tile flipping
  • Part 2: Hexagonal cellular automata
  • Helper usage: Alternative coordinate systems
  • Complexity: Hexagonal grid operations

Day 25: Combo Breaker

  • Part 1: Cryptographic key derivation
  • Part 2: Usually just collecting all stars
  • Helper usage: Mathematical operations, modular arithmetic
  • Complexity: Discrete logarithm computation

Advanced Algorithm Implementation

Context-Free Grammar Parser (Day 19)

class GrammarParser {
    constructor(rules) { /* Parse rule definitions */ }
    validate(message, ruleId = 0) { /* Recursive validation */ }
    handleCycles(rules) { /* Manage recursive rules */ }
}

Tile Manipulation System (Day 20)

class Tile {
    constructor(id, grid) { /* Store tile data */ }
    rotate() { /* 90-degree rotation */ }
    flip() { /* Horizontal flip */ }
    getEdges() { /* Extract all 4 edges */ }
    getAllOrientations() { /* All 8 possible orientations */ }
}

class TileAssembler {
    solve() { /* Constraint satisfaction for tile placement */ }
}

High-Performance Circular List (Day 23)

class CircularLinkedList {
    constructor(size) { /* Pre-allocate for performance */ }
    move(steps) { /* Efficient multi-step operations */ }
    findDestination(current) { /* Optimized search */ }
}

Hexagonal Coordinate System (Day 24)

class HexGrid {
    constructor() { /* Hex coordinate storage */ }
    getNeighbors(pos) { /* 6 hexagonal directions */ }
    navigate(directions) { /* Follow direction string */ }
}

Performance Critical Optimizations

Day 23 Optimization

  • Circular linked list: Direct node references, no array operations
  • Pre-allocation: Fixed-size structure for 1 million cups
  • Pointer arithmetic: Avoid object creation in hot loop

Day 20 Constraint Solving

  • Edge matching: Pre-compute edge signatures
  • Backtracking: Efficient constraint propagation
  • Memoization: Cache orientation computations

Day 19 Grammar Parsing

  • Memoization: Cache rule evaluation results
  • Early termination: Stop on first match/mismatch
  • Rule optimization: Pre-process recursive rules

Quality Requirements

Algorithm Correctness

  • Complex validation: Ensure grammar parsing handles all cases
  • Geometric accuracy: Tile rotations and flips work correctly
  • Game logic: Card game rules implemented precisely
  • Mathematical precision: Cryptographic calculations accurate

Performance Standards

  • Day 23: Complete 10M moves in reasonable time (<10 seconds)
  • Day 20: Solve tile puzzle efficiently despite complexity
  • Day 19: Handle large message sets with complex grammars
  • General: All solutions complete within reasonable time limits

Testing Requirements

  • Correctness validation: All outputs match Python implementations
  • Performance benchmarks: Measure execution time for optimization problems
  • Memory profiling: Ensure efficient memory usage
  • Edge case testing: Handle boundary conditions and malformed input

Acceptance Criteria

  • Context-free grammar parser handles recursive rules (Day 19)
  • Tile assembly system solves complex jigsaw puzzle (Day 20)
  • Constraint satisfaction solves allergen mapping (Day 21)
  • Recursive game simulation prevents infinite loops (Day 22)
  • Circular linked list optimized for 10M operations (Day 23)
  • Hexagonal grid system works correctly (Day 24)
  • Cryptographic computation produces correct results (Day 25)
  • Complete 2020 year (49 files) implemented and working
  • Performance meets requirements for optimization problems
  • Code quality consistent across all solutions

Files to Create

  • javascript/2020/19/ through javascript/2020/25/ directories
  • 13 solution files completing 2020 implementation
  • Additional utility classes for complex algorithms
  • Input files or references

Milestone Achievement

  • Complete 2020 Year: 49 solution files fully implemented
  • Phase 2 Progress: First major year completed
  • Algorithm Validation: Complex algorithms proven in JavaScript
  • Helper Library Validation: Full library usage demonstrated

Success Metrics

  • 2020 becomes first complete JavaScript year implementation
  • Complex algorithms demonstrate JavaScript's computational capability
  • Performance optimizations prove efficiency of approach
  • Code quality establishes standard for remaining Phase 2 work
  • Foundation established for 2021 implementation

This completes 2020 and establishes the pattern for Phase 2 major years.

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