Position Sums (9x9 Chaos Construction)
(Published on 18. October 2022, 16:45 by ONeill)
Jesper's puzzle contains an example puzzle which you should check out if you are not sure on how the rules work.
Rules:
1. Divide the grid into nine orthogonally connected regions, each containing nine cells. Some region borders are given.
2. Each row, column and region must contain the digits 1 to 9.
3. Let A and B be the digits in the first and second cells of the grid from any direction, including the diagonal.
a) Unshaded clues outside the grid indicate the sum of A and B
b) Shaded clues indicate the sum of the digits in positions A and B from that direction
4. If a clue is circled, the cells that are part of its sum belong to the same region. If a clue is not circled, the cells that are part of its sum belong to different regions.
5. A question mark can stand for any positive integer (including 2-digit numbers).
6. The sum of x and y is 10.
The puzzle:
Answer check is enabled with digits and edges.
I hope you enjoy!
Solution code: Row 7 followed by column 7, with dashes for region borders. For example, 123-65-478923-4156-987
Comments
on 19. May 2023, 15:27 by Piatato
Loads of fun! :D
on 13. November 2022, 12:31 by filuta
really great puzzle, the start and the end of region building were my favourite parts.
on 20. October 2022, 23:37 by Christounet
Instant classic !
Somewhat easier than the puzzles it was inspired from, but full of very nice original logic and a joy to solve. An impressive first puzzle ! Thanks a lot !
on 20. October 2022, 01:37 by ONeill
Clarified rules
on 20. October 2022, 00:54 by glum_hippo
There's one unconventional rule here which I think you might want to make explicit: "...from any direction, including the diagonal"
on 19. October 2022, 22:56 by wenchang
Nice! Spoiler alert!
https://youtu.be/uzJfnu6yPeU
on 19. October 2022, 17:16 by MagnusJosefsson
Awesome first puzzle! Very well set with a clear and smooth path and some clever interesting logic.
on 19. October 2022, 14:33 by Niverio
Amazing debut indeed. Very fun with some very rewarding deductions too!
on 19. October 2022, 09:46 by marcmees
nice one. thanks.
on 19. October 2022, 00:33 by ONeill
Thank you all for the kind comments! @Vebby @KNT @Jesper @Steven R @Polar
on 18. October 2022, 23:57 by polar
A thoroughly impressive debut puzzle! Hope to see more from you. Very nice work :)
on 18. October 2022, 22:33 by Steven R
Very nice!
on 18. October 2022, 18:42 by Jesper
Lovely! I enjoyed it a lot. For sure, a very nice first puzzle!
on 18. October 2022, 18:32 by KNT
very nice debut! looking forward to what comes in the future :)
on 18. October 2022, 17:01 by Vebby
Fantastic debut puzzle! Enjoyed it greatly :)
on 18. October 2022, 16:50 by ONeill
Added tags
