Chaos Construction: Quads
(Published on 23. April 2022, 18:00 by XeonRisq)
- The digits 1 to 9 must appear once in every row, column, and region. Regions are to be determined by the solver, and must be a set of nine orthogonally connected cells.
- Quadruples: Each of the numbers in a quadruple constraint must appear in its four surrounding cells. Given digits within the quad must all be from the same region; missing digits must be from different region(s).
- Anti-XV: Adjacent digits must not sum to 5 or 10.
- F-puzzles link - link to solve online
- CtC link - link to solve online
The number of given digits in the quad must be equal to the largest number of cells in the 2x2 area from any given region.
All quad constraints with four digits have been given. (All 2x2's belonging to the same region)
Solution code: Row 7 followed by Column 8
Comments
on 21. July 2022, 20:06 by lost creativity
finally made it after I-don't-know-how-many tries
-----
Good job! Appreciate the tenacity to see the puzzle through, but I hope it was enjoyable even though it proved challenging.
on 22. May 2022, 07:00 by Krokant
Very nice combination of chaos construction and quadruples. Fun to solve. :)
-----
Thank you very much! This CC variant is probably the most versatile of what I've set so far but needs a little help with additional rules as it's tough to stand on it's own.. (but I think it goes very well with Anti-XV) Appreciate the solve and kind words.
on 10. May 2022, 10:20 by aruvi
this has been happening to me on quite a few chaos puzzles, because of the negative constraints i didn't have to draw the final regions, just needed the logic. great puzzle, lots of fun.
-----
Thanks for the solve and feedback. Some concessions were made during the setting between simple ruleset vs solve path and I think this was probably the best compromise of what I found.
on 24. April 2022, 18:44 by filuta
Thanks a lot for this nice puzzle. I actually also had a slight problem with the rules, since it wasn't completely clear to me whether they allow repeated digits in the neighbourhood of the quads.
-----
Thanks for the feedback and solve. The reason I didn't state that in the rules is because that they can exist within the normal quad constraint. If they were not allowed, then I would have definitely specified that. So just like normal quads, they can have duplicate digits but are not required to.
.........
Well it's because of the wording "Given digits within the quad must all be from the same region; missing digits must be from different region(s)." For a 46 quad say you can interpret it in the way that 4 and 6 around the quad must be in same region and digits different to 4 or 6 must be in different region(s). This would not allow repeated digits. Ofc I understood that this is likely not what you meant cause that would be a little bit absurd :o).
on 24. April 2022, 15:39 by Tilberg
Thanks for this combination of rules! Seems like chaos construction can be linked with any other traditional variant.
-----
You very welcome, and thanks for the solve/feedback. And I think you're probably right but I have a suspicion that some constraints will be more problematic than others, but quads seemed to be pretty interesting with this combination.
on 24. April 2022, 14:40 by kolot
Wonderful puzzle! I loved it.
-----
Thanks for the solve and humbling compliment. Thrilled you enjoyed the puzzle.
on 24. April 2022, 10:53 by peterkp
Ah, now I understand. Thank you.
(If it helps, you could make a small change to the wording. You are not really talking about the "digits in the quad", because all quads have 4 digits. Hence my confusion! You are talking about the *given* digits in the quad.)
-----
Yup, I made the small update to the rules to specify "given digits" as suggested.
on 24. April 2022, 08:27 by peterkp
I quickly got into trouble, and I think it's because I don't understand the Quadruples rules (specially sentence #3). Can you please clarify? Maybe some examples of right or wrong quads...?
-----
Correct:
If a quad has 2 digits (5-9), then those two digits in the 2x2 cells around the quad must be from the same region, and the missing digits (1-2) can either be from one different region or two other separate regions. (So either 1-2 is in a region, or 1 is in a region and 2 is in a different region)
If a quad has 1 number (4), then only it will belong to the region within the 2x2 area around the quad, and the missing digits (3-6-8) all will belong to different regions BECAUSE the digits in the quad represent the largest or equal to the largest region in the 2x2 area around the quad.
Incorrect:
If a quad has 1 number (4), and the missing digits (3-6-8) all belong to the same region or two of the digits belong to the same region.
on 23. April 2022, 23:50 by marcmees
Nice. thanks.
-----
You're quite welcome, and thanks for the solve/feedback.
on 23. April 2022, 20:02 by Chilly
Great puzzle! Enjoyed solving this one - nice rule set for CC.
-----
Thanks for the solve/feedback Chilly. I hold your opinion in high praise when it comes to CC puzzles.
