X (Chaos Construction)
(Published on 11. April 2024, 07:00 by tallcat)
Chaos Construction: Place the digits 1 to 9 once each in every row, column, and region. Regions are orthogonally connected and must be located by the solver.
Internal X-Sums: A digit in a clued cell is an internal X-Sum clue. A digit X in a cell containing a number N in its top left corner indicates that cell sees X digits in its region (including itself) and that those digits sum to N (X counts to the sum also). For digit X in a cell with a ?, that cell sees X digits in its region (including itself). Region borders obstruct vision. Clued cells see orthogonally and not diagonally.
Can be solved online at Sudokupad (with answer check) or Penpa
(without answer check)
Solution code: Row 5 (left to right) using "-" (dash) to represent region borders.
Comments
on 10. May 2024, 23:38 by prodigis
Some really elegant steps here that made me feel blind as a bat once I found them. Well done and thanks
on 30. April 2024, 08:04 by Playmaker6174
Very cool idea for the start and a very consistent solve (at least for me) later on. Great to see how much this concept can offer more :)
on 18. April 2024, 23:42 by the_cogito
Loved that, what a cool concept. Thanks for the puzzle!
on 15. April 2024, 19:01 by peacherwu2
A true masterpiece! Breathtaking throughout!
on 15. April 2024, 13:04 by Norkas
A bit outside my comfort zone difficulty wise, but always worth it if there is such an exellent chaos construction puzzle waiting.
on 12. April 2024, 23:57 by yttrio
Fantastic puzzle! There were some really clever deductions near the beginning to get the regions started, and it was a pretty consistent difficulty through most of the solve for me.
on 12. April 2024, 21:36 by Steven R
Very nice, thanks!
on 12. April 2024, 17:45 by Jesper
Very nice, challenging CC.
on 12. April 2024, 17:22 by Snookerfan
Brilliant puzzle! Loved it. Thank you
on 12. April 2024, 12:09 by Lion Crow
Very nice. Thanks for this puzzle.
on 12. April 2024, 06:39 by Piatato
Excellent!
on 12. April 2024, 04:21 by deltameth
Stunning puzzle! Thanks for setting.
on 11. April 2024, 22:07 by marcmees
Top CC. Thanks.
on 11. April 2024, 15:51 by tallcat
Seeing as the ? was causing confusion, I have clarified in the rules. I do find it amusing that Jovial and KNT didn't have such confusion for their puzzles...
on 11. April 2024, 12:29 by BBB
@drbs, ? represent digit in that cell can see exactly X digits in the region.
on 11. April 2024, 12:22 by drbs
Is it true that all the clues (N) must be unique? If not, I don't see the purpose of the question marks.
EDIT: A digit X in a cell with a ? sees X digits in the region including itself as correctly stated by BBB
on 11. April 2024, 09:59 by Playmaker6174
@Briks, from what I've learned, yes it does
on 11. April 2024, 09:48 by Briks
Does X count to the sum?
EDIT: Playmaker is correct - as in ‘normal’ X-sums. I’ve edited the rules to make it clear.
