Puzzle Generation Using Segmented Modules and Heuristics
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Solution Overview
Problem
Generating new numerical puzzles, such as Sudoku or Futoshiki, without resorting to computer-based techniques is challenging, especially for mathematical puzzles that require specific constraints and unique solutions.
Innovation Solution
The implementation of a puzzle generation process using a combination of divide-and-conquer algorithms, search optimization, and heuristic methods to create puzzles with specific geometric configurations, clue types, and solution constraints, ensuring each puzzle has a unique solution and can be solved using logical rules.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If computer-based techniques are used to generate puzzles, then puzzle generation efficiency and solution uniqueness are improved, but dependency on computational methods increases and manual generation becomes difficult
Solution Approach 1:
The patent segments the puzzle generation process into distinct modular components: grid generation module, clue placement module, solution validation module, and difficulty adjustment module. Each module performs a specific function and can be independently configured, allowing complex puzzle generation to be achieved through coordinated simple modules rather than a monolithic complex system.
Solution Approach 2:
The system performs preliminary actions by pre-generating solution grids and pre-defining clue templates with various properties before actual puzzle creation. These pre-prepared elements are then combined and modified to create final puzzles, reducing the computational complexity required during the main generation process while maintaining high productivity.
2Reliability
If puzzles are designed with specific geometric configurations and constraint rules, then puzzle quality and solvability are improved, but generation complexity and time required increase
Solution Approach 1:
The patent implements preliminary validation of geometric configurations and constraint consistency before full puzzle assembly. Template structures are pre-checked for solvability properties, and clue placements are pre-screened against constraint rules, ensuring that only valid configurations proceed to full generation, thereby maintaining reliability while reducing overall generation time.
Solution Approach 2:
The system incorporates feedback mechanisms where the solution validator provides real-time information about configuration validity and constraint satisfaction during the generation process. This allows the generator to adjust parameters and backtrack from invalid configurations efficiently, ensuring puzzle solvability without exhaustive trial-and-error that would consume excessive time.
3Adaptability or versatility
If puzzles are generated with varying difficulty levels and clue types, then puzzle versatility and user engagement are improved, but generation complexity and resource requirements increase
Solution Approach 1:
The patent creates a universal puzzle generation framework where a single core system can generate multiple puzzle types (e.g., Sudoku, Kakuro, Crosswords) by configuring different template structures and clue types. The same generation engine handles various difficulty levels and geometric configurations through parameter adjustment rather than requiring separate specialized systems for each puzzle variant, thereby maintaining versatility while controlling complexity.
Data Source
AI summary
Systems and methods for solving and generating a mathematical puzzle are presented. A puzzle may comprise areas comprising mystery number regions, pair clue regions interposing pairs of mystery value numbers, and a central clue region located centrally to the mystery number region. Solving a puzzle may comprise deterministic search methods coupled with heuristic approaches. Puzzle generation may comprise adding conforming clues until a puzzle has only one possible solution, the clues chosen based on heuristics for adding clues while minimizing incremental change in puzzle difficulty; or reducing the number of solutions/partial solutions to the puzzle.