Logic Lab: The Interactive Solver 🧩

Welcome to the Logic Lab, a Java-based suite of classic algorithmic puzzles. Instead of just reading code, you can play and solve these challenges yourself directly from your terminal!

🎮 How to Play

1. Clone & Compile:

   javac Main.java
   java Main

2. Select a Challenge: Choose from the menu to start a session.
3. Solve: Input your moves (e.g., 1 3 to move a disk from Peg 1 to Peg 3 in Tower of Hanoi) and the system will validate your logic in real-time.

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📂 Interactive Challenges

🧩 The Classics

• N-Queens Solver: Try to place $N$ queens on the board without any of them attacking each other. The system will highlight illegal placements.

• Tower of Hanoi: Can you move the stack in the minimum number of moves? ($2^n - 1$)

• 8-Puzzle Tile: Use your arrow keys or coordinates to slide tiles into the correct order.

🛶 Logic & Strategy

• Missionaries & Cannibals: A text-based survival game. Choose who gets on the boat, but don't let the missionaries be outnumbered!

• Tic-Tac-Toe: Play against a friend or test your luck against our Minimax AI.

• Map-Coloring: Assign colors to different "provinces" and see if you can complete the map without touching identical colors.

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🛠️ Implementation Strategy

To make this user-friendly and maintainable, each problem is structured around three core Java classes:

1. Board.java: Handles the visual representation, rendering the grid or game state to the console.
2. Validator.java: Contains the isValidMove() logic—the "brain" that enforces the rules of the toy problem.
3. GameEngine.java: Manages the game loop, processes Scanner input, and updates the state.

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📝 License

This project is licensed under the MIT License - see the LICENSE file for details.