Logic Masters Deutschland e.V.

Wandering in Uncertainty, by Patrick JUNKE

Normal Sudoku rules do not apply. Indeed :

One row contains each of the digits from [1-9].
Each other row contains eight of the digits [1-9], one digit being repeated, thus one missing (from [1-9]).
When the repeated digit is from the set of labyrinth digits (see labyrinth rules below), the missing digit is from the walls digits, and vice-versa.
If a digit is repeated in a row, it can't be the repeated digit again in an other row.
If a digit is missing in a row, it can't be the missing digit again in an other row.
Columns obey to the same rules (one column contains the digits [1-9], the others contains a repeated digit and a missing one, etc.).
Marked regions also obey to the same rules.

The labyrinth :

All occurences of five of the digits [1-9], to be determined, constitue an area of orthogonally connected cells : a labyrinth. The four other digits are thus always walls.
A black square in the middle of a 2x2 cell square indiquates that these four cells are all walls.
A white square in the middle of a 2x2 cell square indiquates that these four cells are all labyrinth cells.
An arrow indicates a dead end in the labyrinth, and points toward the exit of the dead end, i.e. the only cell to which it is connected.

Other clues :

An X between two cells indicates that their digits sum to ten.
A dot between two cells indicates that their digits are consecutives.
The dot is blank if the two cells are from different nature : one labyrinth cell and one wall, and black if there are from the same nature (both labyrinth cells or both walls).

All black squares, blank squares, Xs, black dots, white dots, and arrows are given.

Finally, the sign < between two cells is the mathematical symbol : inferior digit < superior digit.

Here is a link to the puzzle on Sudoku Pad.

Example whith a 5x5 grid and the digits [1,2,7,8,9] :

What all the notations look like :

What the solution looks like :