Logic Masters Deutschland e.V.

Puzzle rules:

• Normal sudoku rules apply.
• Kropki pairs: Cells joined by a black dot must have a ratio of 1:2.
• Product cages: Digits in a cage multiply to the clue in the top left corner. Digits cannot repeat inside a cage.

(note that some of the numbers may look a bit crazy, but I promise this can be solved without needing a calculator)