* Grid size: Larger grids (e.g., 9x9) naturally have more cells and more complex relationships, making them tougher to solve.
* Cage size and number of cages: Puzzles with larger cages (containing many cells) and fewer cages overall can be more challenging.
* Cage operations: Some operations, like division and subtraction, can lead to more complex logic and make the puzzle harder.
* Number distribution: The way numbers are distributed within the cages can affect the difficulty. For example, a puzzle with a lot of small numbers might be easier to solve than one with a lot of large numbers.
However, some general guidelines for making a KenKen puzzle harder include:
* Using a large grid size: Start with a 6x6 or larger grid.
* Creating fewer cages: Try to use fewer cages and make them larger.
* Using more complex operations: Include division and subtraction along with addition and multiplication.
* Using a diverse range of numbers: Avoid puzzles with too many small numbers or too many large numbers.
Beyond these general guidelines, the difficulty of a KenKen puzzle is subjective and depends on the individual solver's skills and experience. What one person finds difficult, another may find easy.
If you're looking for a challenge, try searching online for "hardest KenKen puzzles" or "expert KenKen puzzles." You'll find many websites and resources dedicated to providing challenging puzzles for KenKen enthusiasts.