Logic Masters Deutschland e.V.

Schrödinger's Doublers

(Published on 13. July 2023, 18:31 by Oddlyeven)

What if Schrödinger's box was opened and there were two cats?

Rules: Put the digits 0 to 6 in every row, column and box.
Schrödinger Cells: One cell in every row, column and box is a Schrödinger cell that contains two digits. This cell's value counts as the sum of its digits for the following rules.
Doublers: One cell in every row, column and box is a doubler. This cell counts as double its value for the following rules. Each of the digits 0 to 6 appears exactly once in the set of doubler cells.
Region Sum Lines: The sum of the values on a line within a box must be the same for each box that line passes through.

Links:
SudokuPad: https://tinyurl.com/4rm5n48w

The 9x9 sequel:, Schrödinger's Triplers

Solution code: Row 1, left to right. (7 digits. For the Schrödinger cell list the smaller digit first.)

Last changed on on 23. July 2023, 15:55

Solved by Tulrak, gdc, efnenu, AzureFire, Kenro, SenatorGronk, Christounet, CrippledLamp, giladooshlon, Mr_tn, AKernel, aaalexx, Silverscree, Anteros, HumanBirdsong, Flambierter Flamingo, smckinley, ... Uhu, michaal94, dtoto, diziet, yeeko, PatientMustard, humaLautema, teuthida, PippoForte, Krisonium, Luaryo, GhTheOne, herrdoktorfloof, ZornsLemon, duckling, Jackson Philion, wuc, erkiraak, Cosinus
Full list

Comments

on 22. August 2024, 21:13 by wuc
Nice puzzle. Great fun thx.

on 15. August 2023, 08:44 by mse326
@asp1310 Oddlyeven answered your question, but in the future if you encounter a ruleset like this the first thing I personally do is think about how many digits and/or values have to be in modified squares. Doing that there are 7 digits in this puzzle and per the rules each one must be in a doubler cell. If a doubler couldn't be an S cell the most digits you could accomodate is 6 so it is logically required. I only add this because some constructors will want you to figure that out so won't answer that question in the rules or an answer.

on 4. August 2023, 17:51 by fecske
The 1st step was easy for me, and it gave an idea how the rules will work. The 2nd step was the hardest and I concluded a few times that this puzzle is impossible. Once I figured that step out it was a straightforward solve from there.

Nice logic, interesting rules. Well done.

Last changed on 25. July 2023, 15:06

on 24. July 2023, 22:26 by asp1310
Can S-cells also be doublers? This isn't clear. I.e. Can a [04] cell equal 8?

(Note: I'm not asking if this does actually happen. More if the rules allow it in the first place, or if the S-cell and doubler cell are - by the rules - two different cells.)

It is allowed - Oddlyeven

on 23. July 2023, 15:55 by Oddlyeven
Added link to the sequel.

on 17. July 2023, 03:44 by fitzie
These rules are great. I understood them entirely, but still thought the solve was impossible until I understood them just a tad more :)

on 14. July 2023, 20:53 by prodigis
What a beautifully executed idea, looking forward to the bigger version

on 14. July 2023, 13:24 by Oddlyeven
Updated wording on region sum line rules.

on 14. July 2023, 13:02 by Cane_Puzzles
Really enjoyed this, thanks!

on 14. July 2023, 13:00 by Senip
Thanks for the wonderful puzzle!

Last changed on 14. July 2023, 13:24

on 14. July 2023, 10:43 by drbs
Shouldn't it read: "Region Sum Lines: The sum of the cell values ..." instead of "... sum of the digits ..."?

Good catch! Changed - Oddlyeven

on 14. July 2023, 00:15 by HumanBirdsong
Great stuff, as always! Had a good chuckle at the s-cells in the finished grid.

on 14. July 2023, 00:01 by Silverscree
I really enjoyed how smooth this was. I love a good 6x6 :)

on 13. July 2023, 21:28 by giladooshlon
Double the Schrödinger, double the fun!

Last changed on 23. July 2023, 15:55

on 13. July 2023, 20:32 by Christounet
Lovely combo ! I love S-cells and doublers. Now the 9x9 maybe ? Thanks !

9x9 is out! - Oddlyeven

Difficulty:2
Rating:95 %
Solved:129 times
Observed:10 times
ID:000EGY

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