Logic Masters Deutschland e.V.

Rules:

Normal sudoku rules apply.

Cages:

In each cage, a path should be found which goes through the centre of every cell, apart from one cell which is to be determined. The path only moves orthogonally, and does not branch.

Kropki:

Digits separated by a black dot have a ratio of 2:1 (One digit is double the other).

Digits separated by a white dot are consecutive.

X:

A pair of digits separated by an X sums to 10.

Cage paths:

Each adjacent pair of digits along a path in a GW cage has a difference of at least 5.

Digits along a path in a TM cage strictly increase in one direction along the path.

In each adjacent pair of digits along a path in an ML cage, one digit is a multiple of the other.

Each adjacent pair of digits along a path in an X cage sums to at least 10.

Fog:

Fog covers the grid. Placing a correct digit lifts fog from that cell and possibly other cells. Guessing is not required.