Diagonal Hyper Sudoku

Diagonal Hyper Sudoku Rule

Diagonal Hyper Sudoku is a variant of Sudoku that incorporates additional diagonal restrictions to the standard Sudoku rules. The game is played on a 9x9 grid, divided into 3x3 subgrids. The objective is to fill the grid with digits so that each row, column, 3x3 subgrid, and main diagonal contains all the digits from 1 to 9.

Basic Sudoku Rules:

1. Each 9x9 grid is divided into 3x3 subgrids.

2. Each row, column, and 3x3 subgrid must contain all the digits from 1 to 9.

3. No digit can be repeated in any row, column, or 3x3 subgrid.

Diagonal Hyper Sudoku Rule:

In addition to the basic Sudoku rules, Diagonal Hyper Sudoku introduces the following restriction:

1. No digit can be repeated in either of the main diagonals (top-left to bottom-right and top-right to bottom-left).

Diagonal Hyper Sudoku question

Diagonal Hyper Sudoku solution

Solving Techniques:

Solving Diagonal Hyper Sudoku requires a combination of standard Sudoku techniques along with the added diagonal restriction.

1. Scanning for Singles: Look for cells where only one possible digit can be placed based on the given clues and the basic Sudoku rules.

2. Hidden Singles: Identify cells where a particular digit can only be placed in one specific row, column, or 3x3 subgrid within a block.

3. Naked Pairs, Triples, Quads: Eliminate possibilities for cells based on the presence of pairs, triples, or quads of identical digits in a row, column, or 3x3 subgrid, ensuring that each of these groups has a unique placement within that block.

4. X-Wing, Swordfish, Jellyfish: Utilize advanced techniques like X-Wing, Swordfish, and Jellyfish patterns to eliminate possibilities for multiple cells based on the placement of specific digits in rows, columns, and 3x3 subgrids.

5. Process of Elimination: Continue to scan the grid, eliminating possibilities for cells based on the rules and the progress made in previous steps.

6. Diagonal Singles/Hidden Singles: Look for cells where a particular digit can only be placed in one specific diagonal, further restricting the possibilities.

7. Diagonal Pairs/Hidden Pairs: Identify pairs of cells where two specific digits can only be placed in a specific diagonal, eliminating other possibilities.

8. Backtracking: If no further progress can be made, carefully backtrack and reconsider previous placements or assumptions.

Diagonal Hyper Sudoku puzzles offer a challenging and engaging experience for Sudoku enthusiasts, adding an extra layer of complexity to the classic game.