Logic Masters Deutschland e.V.

Rules:

Normal Sudoku rules apply:
Place the digits 1 to 9 once in each row, column, and 3x3-box.

Kropki:
Cells joined by a black dot must have a ratio of 2.
Cells joined by a white dot must have a difference of 1.

Grey Kropki:
Digits separated by a grey dot have either a 1:2 ratio or a difference of 1.

Dynamic Fog of War:
The grid is partially covered in fog. Entering correct digits may clear fog somewhere in the grid. No guessing is required.



Good luck!

Note: The difficulty is bordering on 2 stars.