Chaos Construction: Regional Chess Sums
(Published on 7. January 2022, 08:00 by Nordy)
This puzzle is my first entry into the Chaos Construction category, but certainly not my last. Hope you enjoy!
Rules:
Chaos Construction: place the digits 1 to 9 in every row, column, and irregular region. Each region is a set of 9 orthogonally connected cells that must be determined while solving.
Regional Chess Sums:
- Kings: digits in cells with squares are the sum of all digits that share its region and are a king’s move away.
- Knights: digits in cells with circles are the sum of all digits that share its region and are a knight’s move away.
- Rooks: numbers outside the grid show the sum of the digits up to the next region border of that row or column.
- Knightly Kings: Digits in cells with both a square and a circle satisfy each of the king’s move and knight’s move sums above, with each sum calculated independently.
- All squares and circles may or may not be given.
Below is an example region. The 9 sees the 4+5 by king’s move. The 7 sees the 5+2 by knight’s move. The 8 sees the 6+2 by king’s move and the 5+3 by knight’s move. The 23 outside the grid sees 9+4+3+7, which are the digits up to the next region border.
And here is the puzzle. You can solve online at:
For CTC and F-Puzzles, disable conflict checking to avoid a grid full of red digits.
Solution code: Row 7 then Row 8
Comments
on 4. April 2022, 09:20 by thefallenrat
INNNNNNNNNNNSSSSSSSSAAAAAAAAAAAAANNNNNNNNNEEEEEEEEEEEEEEEEEEE!!!!!!!
-Happy Customer
on 24. January 2022, 04:27 by Nordy
Removed alert.
on 15. January 2022, 22:40 by Nordy
Added alert for broken puzzle
on 10. January 2022, 05:33 by Nordy
Thank you all for the comments! I’m already excited about setting the next puzzle with this constraint
on 10. January 2022, 05:15 by jgreenfield
Having now solved it, this is a fantastic puzzle, though quite difficult. The ruleset allows for some very interesting deductions, and I'd love to see more of it in the future.
on 9. January 2022, 20:33 by Nordy
Changed difficulty to 5 stars. Additionally, I have left a hidden comment with a guide for how to break into the puzzle (the first 1/3 that Jesper alludes to) for those who solve it. If you haven’t solved yet and would like the guide as a hint or are just curious about the break-in logic, feel free to leave a hidden comment and I will link you.
on 9. January 2022, 01:24 by marcmees
very nice. Absolutely worth the time spent on it. Thanks.
on 8. January 2022, 19:14 by polar
I think this ruleset has great potential!
—I took your advice from the hidden comment and created a smoother version with a better challenge distribution, which can be found here: https://logic-masters.de/Raetselportal/Raetsel/zeigen.php?id=000ACU
on 7. January 2022, 22:46 by Jesper
Very interesting unusual ruleset. Very challenging, especially the first third of the puzzle. Flowed really nicely later on.
on 7. January 2022, 20:11 by Siebuhh
Very interesting puzzle! Maybe I missed something, for me the difficulty was (more than) 5 stars ...
