Logic Masters Deutschland e.V.

Beyond the point of no return, even the laws of Sudoku begin to collapse.

A seemingly ordinary Sudoku has drifted too close to a black hole. It has crossed the Event Horizon — the boundary beyond which the familiar laws of reality begin to break down.

Proceed carefully. The closer you get to the singularity, the less you can trust the rules you thought you knew.

Rules:

1. The Black Hole: Outside the Black Hole, normal Sudoku rules apply. Every row, column, and box must contain the digits 1 through 9 exactly once.

If a row, column, or box passes through the Black Hole, the rules change for that entire row, column, or box: digits from 0 to 9 are allowed, but all digits within each region must be unique.

The digit 0 can only be placed inside the Black Hole; it cannot be placed on its boundary.

2. Killer Cages: Digits in a cage must sum to the total shown in its top-left corner. Digits cannot repeat within a cage.

3. German Whispers: Adjacent digits along a green German Whispers line must differ by at least 5.

4. Kropki Dots: Digits separated by a black dot are in a 1:2 ratio (one digit is double the other). Digits separated by a white dot are consecutive. Not all dots are necessarily given.

5. Arrows: The digits along an arrow must sum to the digit in its attached circle.

6. X: Cells separated by an X must sum to 10.

7. V: Cells separated by a V must sum to 5.

Diagonal Clues: If a clue is positioned at the intersection of four cells, it applies to both diagonally adjacent pairs of cells, rather than to horizontally or vertically adjacent cells.

For example, an X at the intersection of R2C8, R2C9, R3C8, and R3C9 requires R2C8 + R3C9 = 10 and R2C9 + R3C8 = 10.

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