-4
(Published on 2. January 2024, 20:08 by NotThatItMatters)
Fill every row, column and 3×3 box with the digits 0-9, where 4 is the OFF (hidden) digit. All adjacent visible ON digits are neither consecutive (○), nor in a 1:2 ratio (●), nor do they sum to either 5 (V) or 10 (X).
The grid is covered (mostly) in fog. Placing a correct digit in a cell will reveal the surrounding cells.
Once in every row, column and box is a Schrödinger cell with a visible ON digit and the OFF digit 4. All ON digits appear once in a Schrödinger cell. Every Schrödinger cell has a unique position within the 3×3 boxes.
1. Two cells separated by a ○ have consecutive ON and OFF digits.
2. Two cells separated by a ● have ON and OFF digits in a 2:1 ratio (one digit is double the other).
3. Two cells separated by a V have ON and OFF digits which sum to 5.
4. Two cells separated by an X have ON and OFF digits which sum to 10.
5. The ON/OFF digit pair in any Schrödinger cell must not follow any of the connecting constraints.
Solve Online : Answer check is enabled.
Solution code: Column 8 of the solution.
Comments
on 17. March 2024, 20:53 by crhodgkin
The wording of the rules was very difficult for me to understand (the comments below was very helpful). Once I understood the rules, I thought the puzzle was incredibly fun to solve. I would love to see more puzzles with this kind of ON/OFF positive/negative rule set. Thank you, NotThatItMatters! :)
on 20. February 2024, 19:53 by filz
Thank you, very nice and brain-bendy puzzle! I enjoyed it!
on 22. January 2024, 21:58 by abihummel
Can you elaborate further on rule 5: The ON/OFF digit pair in any Schrödinger cell must not follow any of the connecting constraints?
on 3. January 2024, 07:39 by Deino42
Absolutely beautiful puzzle! This inspired me to create an account just so I could leave a review. I’ve always loved Schrödinger sudokus, but this was implements a very interesting twist.
on 3. January 2024, 00:43 by EinFuchs
Just for clarification of the rules:
Place the digits 0-3 and 5-9 in every row, column and 3x3-box (all the digits 0-9 except the 4).
Two adjacent (regular) digits must not satisfy a Kropki- or XV-relation.
In every row column and box there is a special cell. This cell contains a hidden 4 which should not be entered but which is relevant, because only this hidden 4 satisfies the Kropki- or XV- constraint with the neighbouring cells if given. The entered cell does not satisfy the constraints.
EG: If there is a X-Clue between two cells, one of them is a special cell and the other one is a 6. In the special cell no 3,5 or 7 can be entered because of negative constraints.
These special 4-cells each have a unique position relative to their 3x3-box. Each digit (but 4) appears exactly once in a special cell.
on 2. January 2024, 21:04 by abadx
Just to clarify that In order to make solution code work, the off digit (4) should not be entered (8 digits total should be entered)
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@asp1310, basically all contrains given affect digit 4. The rest of the digits must obey negative constraint restriction ( no dots, V or X allowed between the rest of the digits)
on 2. January 2024, 21:03 by asp1310
Can you provide a small example grid of the rules in practice? It sounds fun but I only half-understand what it means.
