Logic Masters Deutschland e.V.

Presenting the third and final (and most likely, the hardest) installment of my Dynamic series, Dynamic Construction.

- Normal Irregular sudoku rules apply. Place the digits 1-9 in every row, column and region. Regions need to be determined by the solver. All regions are 9 cell long and orthogonally connected.

- The outside clues represent one or more of the following constraints. If a clue satisfies more than one constraint, both satisfied constraint types count as "used" for the next point below:

• Number of cells in the first continuous string belonging to the first region from that direction.
• Amount of different regions found in that row/column.
• Numbered Rooms
• Sandwich
• Skyscraper
• X-Sums

- Each Row/Column outside the grid (R0, R10, C0, C10, if you wish) can contain each type of clue maximum once.

Chaos Construction Rules:

• If the outside clue is a Numbered Room, the indexing digit and the indexed digit have to be in different regions.
• If the outside clue is a Sandwich, the crusts of the Sandwich have to be in different regions, and the filling must be a seperate 3rd region. All filling cells belong to the same region. (Filling can be 0 cells long.)
• If the outside clue is a Skyscraper, every seen Skyscraper must belong to a different region. The cell following the tallest building (9), if there is one, must be in a different region than the 9 cell.
• If the outside clue is an X-Sums, all digits contributing to the X-Sum must belong to the same region and the following cell must be in a different region.

Detailed Constraint Explanations

Numbered Rooms : The digit closest to the clue gives the position in the row/column of the digit matching the clue, counting from the clue's side of the grid.
Sandwich : Numbers outside of the grid indicate the sum of the digits "sandwiched" between the digits 1 and 9 in the corresponding row or column.
Skyscraper : Outside digits indicate the number of seen 'buildings', where heights of buildings are indicated by the digits in the grid and taller buildings obscure sight of shorter buildings.
X-Sums : Outside digits indicate the sum of the first X digits in that row or column, where X is the first digit seen from that direction.

Puzzle Links: Solve in Penpa with answer check
Enjoy!