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Puzzle Solver

Puzzle Solver

March 1, 2023 (3 years ago)

An intelligent web application that solves the classic 8-puzzle problem using advanced algorithms and provides interactive visualization of the solution process.

Overview

The Puzzle Solver is a sophisticated web application that demonstrates the power of artificial intelligence algorithms in solving complex problems. Built to tackle the famous 8-puzzle sliding puzzle, it uses the A* search algorithm combined with the Manhattan distance heuristic to find optimal solutions efficiently.

Key Features

  • A* Algorithm Implementation: Advanced pathfinding algorithm for optimal solution discovery
  • Manhattan Distance Heuristic: Intelligent estimation function for efficient state space exploration
  • Interactive Visualization: Real-time visualization of the solution path and algorithm progress
  • Solution Tree Display: Visual representation of the algorithm's decision-making process
  • Performance Analytics: Detailed metrics on algorithm performance and efficiency
  • User-Friendly Interface: Intuitive controls for puzzle input and solution visualization

Technology Stack

Frontend

  • React: Modern JavaScript library for building interactive user interfaces
  • Interactive Components: Custom components for puzzle visualization and control
  • Responsive Design: Optimized for various screen sizes and devices

Backend

  • Node.js: JavaScript runtime for server-side algorithm implementation
  • Express: Web framework for RESTful API development
  • REST API: Clean API architecture for puzzle solving requests

Algorithm

  • A* Search Algorithm: Optimal pathfinding algorithm for state space exploration
  • Manhattan Distance Heuristic: Efficient estimation function for puzzle solving
  • State Space Management: Optimized data structures for puzzle state handling

Development Timeline

Project Duration: March 2023 - April 2023 (1 month)

This focused development period concentrated on implementing the core algorithm, building the API, and creating an engaging user interface for puzzle visualization.

Live Demo

🌐 Live Application: puzzle-solver-lovat.vercel.app 📂 Source Code: GitHub Repository

Algorithm Details

A* Search Implementation

The A* algorithm efficiently explores the puzzle state space by:

  • Cost Function: Combining actual cost (g) with heuristic estimate (h)
  • Priority Queue: Using optimal node selection for exploration
  • State Management: Tracking visited states to avoid cycles
  • Path Reconstruction: Building the complete solution path

Manhattan Distance Heuristic

The heuristic function calculates:

  • Distance Estimation: Sum of Manhattan distances for each tile to its goal position
  • Admissible Property: Never overestimates the actual cost to goal
  • Consistency: Ensures optimal solution discovery

Visualization Features

  • Step-by-Step Solution: Animated progression through the solution path
  • Algorithm Tree: Visual representation of the search tree exploration
  • Performance Metrics: Real-time display of nodes explored and solution efficiency
  • Interactive Controls: Play, pause, and step through solution at user's pace

Technical Achievements

  • Optimal Solutions: Guaranteed to find the shortest solution path
  • Efficient Performance: Optimized algorithm implementation for fast solving
  • Scalable Architecture: Clean separation between algorithm logic and presentation
  • Educational Value: Clear visualization helps understand AI search algorithms

Impact

The Puzzle Solver project successfully demonstrates the practical application of artificial intelligence algorithms in problem-solving scenarios. It serves as both a functional tool for solving 8-puzzles and an educational resource for understanding how AI search algorithms work in practice.

The project achieves its goal of solving the 8-puzzle problem efficiently while providing valuable insights into algorithm performance and optimization techniques. It establishes a solid foundation for further research and development in puzzle-solving algorithms and AI applications.

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