* 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!

Lösungscode: First Column 5, then Column 6 (No commas or spaces, 18 digits)

Zuletzt geändert am 29. April 2022, 13:56 Uhr

Gelöst von rmn, the_cogito, henrypijames, Jesper, marcmees, Angelo, Elliott810, Qodec, Orphis, Playmaker6174, ns08, MagnusJosefsson, polar, Xenonetix, KNT, jkuo7, zetamath, OGRussHood, cdwg2000, Vebby

**am 6. Juni 2022, 00:20 Uhr von Vebby**

Fantastic puzzle! Superb logic throughout. Got stuck for a while because I stupidly forgot the rule that the cell behind 9 for skyscrapers must be in a different region. Other than that, didn't feel stuck at any point.

**am 29. April 2022, 13:56 Uhr von Niverio**

Added labels.

**am 14. April 2022, 23:31 Uhr von MagnusJosefsson**

Wonderful! Hardest in the beginning, then flows nicely with consistently interesting logic. Thank you Niverio and well done!

**am 10. April 2022, 18:07 Uhr von Playmaker6174**

Really nice and intricate solve path, but really bad solve from me as I kept forgeting simple things, and the irony thing is that I literally used that thing at some points before eventually forgeting it.

But don't let my comment discourage everyone who hasn't solved it here, it's a very nice puzzle yet you have to stay conscious consistently all the time.

**am 9. April 2022, 04:00 Uhr von Orphis**

Very nice, thanks for the 5h of struggling!

**am 9. April 2022, 00:42 Uhr von Qodec**

That was insane, thanks very much!

**am 7. April 2022, 23:06 Uhr von Elliott810**

Very nice puzzle! Really impressive work of yours. Take a bow and thanks:)

**am 7. April 2022, 20:38 Uhr von Angelo**

Although it was a challenge to find each next step, the logic of the steps were fair and it was really fun to work with this ruleset. Well done!

**am 7. April 2022, 17:34 Uhr von marcmees**

great puzzle. Thanks.

**am 6. April 2022, 15:09 Uhr von the_cogito**

Loved this puzzle, nice execution with difficult but fair deductions, really well done :)

**am 6. April 2022, 10:10 Uhr von Niverio**

Legibility upgrade.

**am 6. April 2022, 10:08 Uhr von Niverio**

Clarified one constraint to word it better.

**am 6. April 2022, 00:27 Uhr von Niverio**

If anyone tried to attempt the previous version that I activated 2 hours ago, I apologize. It had an error that neither myself nor my tester had caught, so I'm very sorry about it. This one should be mistake-free.