Logic Masters Deutschland e.V.

Normal Sudoku rules apply

Additionally:

* Digits separated by a white kropki dot have a difference of 1.

* Numbers separated by a black kropki dot are in a 1:2 ratio. Numbers may be one or two digits. When reading two digit numbers, the "tens" digit will be offset above (reading across a row) or to the left (reading up or down a column).

* For example, a 6 might be paired with a 12. In this case, the 6 and the 2 (the "ones" digit of 12) would be joined by with the black dot and the 1 ("tens" digit of 12) would be to the left of the 2 or above it, depending on the orientation of the black dot.

* Not all dots are necessarily given.

Click the link to solve on f-puzzles.com or the CTC App