MathDoku

Based on the same rules as the hit KenKen(tm) game, as printed in the New York Times and The Times (uk).

Related to Sudoko, but with a mathematical twist - use the arithmetic challenges in each cage to help solve the puzzle.

Source code available under the GPL.

Authored by Ben Buxton, Paul Dingemans. Contributions by Pimm Hogeling, Stephen Lee, Alexander Tesfamichael, Anthony Paul.

MathDoku is a challenging logic puzzle that combines elements of Sudoku and mathematics. It presents a grid of squares, each containing a number or a mathematical operation (+, -, ×, ÷). The goal is to fill in the empty squares with numbers that satisfy the mathematical operations and follow the grid's logic.

Rules of MathDoku:

* Fill in the grid: Place numbers from 1 to the grid size (e.g., 1-6 for a 6x6 grid) in the empty squares.

* Follow mathematical operations: Each square containing an operation (+, -, ×, ÷) must use the given number and the numbers in the adjacent squares to produce the result shown in the square.

* Unique numbers: Each number from 1 to the grid size can appear only once in each row, column, and 3x3 block.

* Consecutive numbers: In some variations, consecutive numbers cannot appear next to each other horizontally or vertically.

Solving MathDoku:

Solving MathDoku requires a combination of logical reasoning and mathematical skills.

1. Scan the grid: Start by identifying squares with given numbers or operations. Look for obvious deductions, such as squares that can only contain certain numbers.

2. Apply mathematical operations: Use the given operations to calculate the missing numbers. Consider the surrounding squares and the rules of the game.

3. Eliminate possibilities: Rule out numbers that cannot fit based on the operations and the uniqueness rule.

4. Make educated guesses: If necessary, make educated guesses and see if they lead to contradictions. If they do, revise your guesses.

5. Use trial and error: Sometimes, it may be necessary to try different numbers in a square until you find a solution that satisfies all the rules.

Tips for Solving MathDoku:

* Start with the easiest squares: Focus on squares with simple operations or given numbers.

* Use logical reasoning: Consider the relationships between squares and how they affect the possible numbers.

* Be patient and persistent: Solving MathDoku can take time and effort. Don't give up easily.

* Practice regularly: The more you play MathDoku, the better you will become at recognizing patterns and solving puzzles efficiently.