## Dynamic Construction

(Eingestellt am 6. April 2022, 00:26 Uhr von Niverio)

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.

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
Komplette Liste

### Kommentare

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

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

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.

 Schwierigkeit: Bewertung: 100 % Gelöst: 20 mal Beobachtet: 2 mal ID: 0009KQ

Lösungscode: