Schrödinger's Triplers
(Published on 22. July 2023, 17:44 by Oddlyeven)
What if Schrödinger's box was opened and there were three cats?
Rules: Put the digits 0 to 9 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.
Triplers: One cell in every row, column and box is a tripler. This cell counts as three times its value for the following rules. Each of the digits 0 to 9 appears exactly once in the set of tripler 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.
Note: One of the lines is darker merely to clarify the line crossings. It is still a region sum line.
Links:
SudokuPad: https://tinyurl.com/2aj8xncf
For an easier 6x6 version of the same concept using doublers, check out Schrödinger's Doublers
Solution code: Column 5 top to bottom (10 digits). For the Schrödinger cell give the lower digit first.
Comments
on 23. August 2024, 21:33 by wuc
Masterpiece. 100 minutes of awesome logic. Hard as hell but what a blast. Had several wow moments. Keep on setting dude. Loved every minute. Thx.
on 24. January 2024, 23:52 by starelev5
Beautiful puzzle. oddlyeven, you managed to incorporate every interesting and cool deduction I've seen with doublers and s-cells, and successed to combine them this elegantly. Although this is a hard puzzle I've never felt truly stuck, there was always something to consider and discover. The solve path is so very laid out to make this combination of rules so elegant.
Truly you are a master at work, oddlyeven.
on 6. January 2024, 19:30 by madhupt
An amazing setting to bring together the triplers and S-cells ruleset. Seemed very difficult at first with too many branches at logic crossroads but it all continued to resolve nicely with very intricate deductions. A very very satisfying solve. Thanks a lot for sharing this.
on 12. August 2023, 07:37 by Agent
Cool puzzle, very narrow and beautiful solution path.
on 9. August 2023, 15:31 by Fool on Hill
Awesome puzzle - so many gems of discoveries along the path I found.
on 8. August 2023, 09:32 by tesseralis
I think it's fascinating that doublers were invented to replace a lot of the logic of S-cells... but you've successfully combined both types of logic and created something brand new! Not only does this feel like *the* puzzle with this ruleset, every deduction feels like *the* next deduction. This is quite the masterpiece.
on 8. August 2023, 02:37 by samuel1997
Brilliant puzzle! It needs to be featured in CTC!
on 29. July 2023, 03:00 by BHUNTER47
Absolutely brilliant. Would love this to be a Simon feature on CTC
on 23. July 2023, 19:23 by Snookerfan
Fantastic puzzle! Thank you
on 23. July 2023, 13:24 by giladooshlon
My favorite puzzle type!
on 22. July 2023, 18:01 by Myxo
Lovely puzzle!
