Schrödinger's Deconstruction
(Published on 19. June 2022, 13:57 by mathpesto)
Here's a puzzle that borrows elements from Schrödinger cells, star battle, and my Suguru Chaos Deconstruction series. If you'd like any hints, feel free to post a hidden comment below or message me on Discord. I've also included a mini-example for clarity. Comments and ratings are much appreciated, and please be sure to check out my other puzzles here.
Rules:
Fill some cells in the grid with the digits 0–9 so that no digit repeats in a row/column. There are at most two S-cells in each row/column, and they do not touch orthogonally nor diagonally. (An S-cell is a cell that contains two digits simultaneously.)
A number between two cells indicates the difference between the two cells' values. (A cell's "value" is either its digit or, in the case of an S-cell, the sum of its two digits.) A blank square or circle is an unknown even or odd difference respectively.
A cell with a circle/square on an edge has a digit, or digits, in it. All digits belong to a region, a collection of orthogonally connected cells. A region with n cells contains the digits 0 through n+1 once each (i.e. every region contains exactly two S-cells). Regions do not touch each other orthogonally.
Puzzle:
Mini-example, where the digits 0–5 are placed instead of 0–9:
Solution code: Ignoring blank cells, enter the digits in Rows 7 and 11 (left to right; no spaces; for S-cells, low digit first)
Comments
on 8. February 2024, 22:20 by teff
incredible puzzle! the final placement of the region had me legit shouting. thank you!
on 2. January 2024, 19:54 by Fool on Hill
What a treat for my post Christmas break - brilliant puzzle, very hard, clues interact in a range of interesting ways.
on 25. October 2023, 12:10 by Leonardo024
I can only find myself agreeing with the previous commenters. Almost 3 hours of cheer fun and amazement. Hats off!
on 7. August 2023, 03:57 by konklone
This is one of the puzzles I am the most proud of solving. And my first real S-cell puzzle, too! Outstanding setting, and thank you for the adventure!
on 27. July 2023, 19:33 by Counterfeitly
I broke it probably 4 times playing it across several days - crazy tough, but once you get there it's so satisfying!
on 11. April 2023, 23:34 by zhall12570
Another incredible puzzle. Jeez I love these deconstructions you do! Was so challenging.
on 12. January 2023, 01:02 by Myxo
Lovely puzzle!
on 18. October 2022, 22:01 by StephenR
Wow wee what a puzzle. I had to turn my brain up to 11 and a half to solve it and even then broke it the first time.
on 23. June 2022, 12:14 by MagnusJosefsson
Great puzzle! Very challenging and enjoyable!
on 21. June 2022, 07:10 by RJBlarmo
This was my first time trying an S-Cell puzzle, very challenging but lots of fun. Always fascinating seeing what kinds of variants you can fit into the SCD series.
on 20. June 2022, 23:37 by mnasti2
So good. I think my longest solve yet but every bit of progress was very satisfying!
on 20. June 2022, 20:41 by Niverio
Incredible, but very tough as well at the same time!
on 20. June 2022, 17:58 by Mody
Was für ein galaktisches Rätsel.
Kein Hinweis zu wenig, aber auch keiner zuviel ;)
What a galactic puzzle.
No clue too few, but also none too many ;)
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Thanks Mody as always! -mathpesto
on 20. June 2022, 10:04 by polar
Wonderful puzzle! It's so easy to make a mistake on this one and the combination of variants makes it a delight to solve. Easily my favourite of the suguru series, thanks!
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Delighted to hear that, thank you! -mathpesto
on 20. June 2022, 00:48 by mathpesto
Removed unnecessary ?'s
on 19. June 2022, 22:49 by Jesper
Very nice and challenging, thanks!
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Thank you, Jesper! -mathpesto
on 19. June 2022, 18:52 by crispy16
Excellent puzzle once again. Took a while to get started, but once it did it rolled along really nicely.
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Thanks so much! -mathpesto
