Sudoku 12×12 – Hard

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Sudoku 12x12 is a variant of the classic Sudoku puzzle, but with a larger grid and additional numbers to place. The grid consists of a 12x12 matrix, which is further divided into 4x3 subgrids, also known as regions. Some cells within the grid are pre-filled with numbers, serving as clues to assist in solving the puzzle.

Basic Rules

1. Grid Structure: The puzzle consists of a 12x12 grid, subdivided into 4x3 regions.
2. Numbers Used: Numbers 1 through 12 are used to fill the grid.
3. Pre-filled Numbers: Some cells are pre-filled to serve as clues.
4. Objective: Fill in the empty cells with numbers ensuring no repetition in any row, column, or region.

Additional Rules

• Unique Numbers: Each number from 1 to 12 must appear exactly once in each row, column, and defined region.
• No Repetition: No number can be repeated in any single row, column, or region.

Basic Solving Tips

1. Single Possibility: If a cell is the only one in its row, column, or region that can contain a particular number, then it must contain that number.
2. Elimination: Exclude numbers from consideration for a particular cell based on the numbers already present in that cell’s row, column, and region.
3. Double Pairs: If two cells in a row, column, or region can only be two numbers (a pair), then those two numbers can be excluded from consideration for other cells in that row, column, or region.
4. Look for Grid Symmetry: Sometimes, the arrangement of given numbers may have a symmetrical pattern that can help in predicting the placement of other numbers.
5. Work with Certainty: Start by filling in numbers you are certain about and then move to probable ones.