Deconstruction: X-Sums
(Published on 21. March 2022, 10:26 by Jesper)
Rules
Contained within the grid are nine non-overlapping 3x3 square regions, which must be located. Each region contains the digits 1 to 9 once each, such that no digit repeats in any row or column. Cells outside regions do not contain digits.
Clues outside the grid give the sum of any digits in the first X cells from the direction of the clue, where X is the first digit in that direction.
The puzzle follows:
Penpa+: Deconstruction: X-Sums
The solution check requires that all digits are entered in the grid.
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Solution code: Column 1 followed by row 11 (X for an empty cell)
Comments
on 9. July 2024, 03:31 by tallcat
Enjoyed this immensely. Brilliant concept and masterfully executed!
on 30. January 2024, 15:13 by Myxo
Maybe the smoothest Deconstruction out there. Brilliant!
on 30. January 2024, 13:25 by PrimeWeasel
I'm not ashamed to admit that several 6s ruined me here, but alas, I persevered and came out joyfully, really lovely stuff.
on 6. January 2024, 16:51 by StephenR
A peach of a puzzle, such a satisfying combination of rules.
on 16. April 2023, 22:59 by konklone
One of my favorites, despite having to unbreak the puzzle a couple of times. :) I loved the deconstructed x-sums logic, I would enjoy seeing this used in other puzzles too.
on 10. September 2022, 18:03 by cornuto
Suuuper.
on 14. June 2022, 20:34 by KNT
Nice and smooth, thanks
on 19. April 2022, 14:51 by Niverio
Very nice puzzle with very smooth flow! Thankfully managed to avoid all traps for a 45 minute solve, it was pure joy! Thank you, Jesper!
on 10. April 2022, 13:50 by Christounet
This litterally deconstructed my brain, but once i picked up the scattered pieces of it, I was able to solve this incredible puzzle. The logic on column 9 left me speechless when i finally got it, because I spent quite a lot of time rewinding my solving path up to this point and staring at it thinking I had broken the puzzle. Very very rewarding. Thanks for setting this !
on 9. April 2022, 15:30 by Phistomefel
I believe there wasn't a single trap that I missed. Despite this, the puzzle was awesome to solve. Thank you, Jesper! :)
on 6. April 2022, 19:12 by wenchang
What does the outside number 0 mean? also outside number 2 is impossible. if X=1, the outside number is 1, if X=2, the outside number will larger than 2. I misunderstood somewhere in the rule.
I think I understand the rule now. First digit is X, the first X cell has no digit, then outsider number is 0
on 31. March 2022, 19:38 by Jay Dyer
Brilliant puzzle, thanks! It's great to see people experimenting with the deconstruction idea, and I loved the way the X-sums interacted with the layout.
on 31. March 2022, 05:41 by Crusader175
Absolutely beautiful puzzle! Really loved this ruleset.
on 31. March 2022, 01:12 by mathpesto
Beautiful and brilliant construction! Throughly enjoyed this!
on 26. March 2022, 20:46 by zetamath
Hey Jesper, I'd love to do this puzzle on my stream, can I have your permission to stream your puzzles?
-zeta
EDIT @zetamath: Yes sure, no problem, I don't mind at all. In fact, I thought I already gave permission in a comment on another puzzle?
on 23. March 2022, 15:39 by abed hawila
Exceptional!
on 23. March 2022, 11:30 by henrypijames
Broke the puzzle at least three times.
on 23. March 2022, 08:48 by Jesper
Thanks a lot everyone for the wonderful comments! It really means a great deal to me.
on 23. March 2022, 03:02 by Willy Wonka
Masterpiece! That was an absolute joy to solve, cheers Jesper!
And here's a CTC puzzle link for those who love it like me - https://tinyurl.com/wt6kc9ub
on 23. March 2022, 02:46 by twobear
Great construction! Thank you!
on 23. March 2022, 01:05 by Piatato
Great puzzle! My brain had a very hard time not doing horrible oversights, but I enjoyed it immensely regardless!
on 22. March 2022, 23:41 by Bootenks
Very cool puzzle. It was very easy to make a wrong deduction, but if you are careful the puzzle revealed itself by just following an impressive deduction path.
Thumbs up to the creator!
on 21. March 2022, 17:24 by marcmees
very nice and not that hard but tricky. thanks.
on 21. March 2022, 17:15 by Statistica
Klasse. Bin in jede mögliche Falle getappt. Wahnsinn :-)
on 21. March 2022, 15:32 by kolot
Great puzzle! It has a smooth solution path once you get used to the use of X-sums involving empty cells.
on 21. March 2022, 13:36 by Playmaker6174
Lovely, lovely puzzle! Took a while to get how the rules work into my mind but once I got so, it's a really nice and smooth solve with lots of beautiful deductions. Thank you for this fun treat :}
on 21. March 2022, 12:17 by Vebby
Really enjoyed testing this puzzle! Superb variation on the x-sums concept. Thanks Jesper! :)
