☯ Yin-Yang-Loop ☯
(Published on 1. April 2024, 00:17 by ElChiglia)
---- RULES ----
Normal Sudoku rules apply: Fill the grid with digits 1 to 9 appearing once each in every row, column, and 3x3 box.
Yin Yang: Shade some cells such that all shaded cells are orthogonally connected and all unshaded cells are orthogonally connected. No 2x2 area may be entirely shaded or entirely unshaded.
RSL Loop: Draw a single 1-cell-wide loop of orthogonally connected cells through some of the unshaded cells. The loop acts as a Region Sum Line. Numbers on a Region Sum Line have the same sum in each 3x3 box the line passes through. If a line passes through a 3x3 box multiple times, each individual segment sums separately.
Parity Island: If two shaded cells share an edge they must have opposite parity.
Kropki dots: Cells connected by a white dot contain consecutive digits. Furthermore, one of the cells is shaded while the other one is unshaded.
---- LINKS ----
Solve this puzzle using SudokuPad
This Sudoku is part of my series of "build-your-own-loop Sudokus". If you liked solving this puzzle or if you prefer other combinations of loop logic and constraints, feel free to give the other sudokus of the series a go too:
| Loop Logic | Loop Constraint | Further Constraints | ||
|---|---|---|---|---|
| Find-the- Whispering-Loop |
Arrows | German Whispers | - | |
| Country-Road- Loop |
Country Road | Parity Line | Irregular Sudoku |
|
| Modular-Sequence- Loop |
Circles | Modular Line | Thermometer | |
| Summing-Zipper- Loop |
Counting Cells | Region Sum Line | Zipper Lines | |
| Mid-Loop | Mid-Loop logic |
Entropic Line | Kropki Dots | |
| Whispering-Zipper- Loop |
Counting Cells | Dutch Whispers | Zipper Lines | |
| Super Bowl Loop |
Oponents, out-of-bounce |
Polarity Line | Kropkis, XV, Nabner, Zipper |
|
| Linesweeper Loop |
Linesweeper clues |
Parity Line | Little Killers | |
| Modular-Zipper- Loop |
Counting Cells | Modular Line | Zipper Lines | |
| Balance Loop | Balance clues | Parity Line | Little Killers | |
| Entropic-Zipper- Loop |
Counting Cells | Entropic Line | Zipper Lines X-clues |
|
| Hiking-through- the-Fog Loop |
Signposts | Dutch Whisper, Polarity Line |
Kropki Dots X-clues |
|
| Renbanimo Loop | Pentominos Guiding Cells |
Renbanimos | Kropki Dots Odd cells |
|
| Deceiving Loop | Wrogn Clues | Wrogn Clues | 9 different constraints |
|
| Count-the- Whispers Loop |
Counting Cells | German Whispers | Kropki Dot | |
| Whisper-me- Sum-thing Loop |
Line-sums | German Whispers | Kropki Dots | |
| Road Running Loop |
Road Runner | Parity Line | Kropki Dots | |
| Magically Modifying Loop |
- | Incrementers, Decrementers, Nullifiers |
Magic Squares, Killer cages, Kropki Dots |
|
| Skiing Loop | Gates | German Whispers | Kropki Dot, Between Lines |
|
| Behaving Loop | 3x3 boxes | Polarity Line | Kropki Dots | |
| Magical Loop | Guiding cells | Modular Line | Magic Squares | |
| Foggy Loop | Guiding cells | Parity Line | Fog of War, Killer Cages |
|
| 10-Suȵ Loop | Moon-or-Sun | 10-Line | Killer Cages | |
| Counting Loop | Galaxies | Counting Line | Killer Cages, Kropki Dots, Quadruple Clues |
|
| Shining Loop | Moon-or-Sun | Parity Line | Killer Cages | |
| Interfering Loops | Slitherlink + Masyu |
Entropic Line + Parity Line |
Killer Cages | |
| Slithering Loop | Slitherlink | Entropic Line | Killer Cages, Little Killer |
|
| BigBang Loop | Galaxies | Parity Line | Row/Column Indexer, Kropki Dots |
|
| Summing Loop | Star Battle | Region Sum Line | Killer Cages, Skyscraper, Kropki Dots |
|
| Whispering Loop | Star Battle | German Whispers | Sandwich Sum |
Solution code: Column 8, followed by row 8
Comments
on 6. April 2024, 12:42 by LehanLehan
That was really beautiful logic steps for the break-in, thank you very much for the puzzle.
on 4. April 2024, 17:43 by samuel1997
"Draw a single 1-cell-wide loop of orthogonally connected cells through some of the unshaded cells." Does this mean that the loop can't enter any shaded cells?
----
Hi, yes, the loop can only enter unshaded cells.
-- ElChiglia
on 2. April 2024, 20:55 by Geb
I was able to understand the break in concepts, and even after that still found the next steps quite tricky! The logic to get that far is brilliant though
on 2. April 2024, 05:06 by yttrio
Another very nice loop puzzle! This one was closer to 4 stars for me based on the opening, but once I made a couple of key deductions, everything flowed amazingly well!
on 2. April 2024, 03:59 by sorryimLate
This is one of my favourites in the series, fantastic! The logic is very beautiful, not super hard, but there was quite a lot of work to do, so it's 4 stars for me. Thank you for setting!
on 1. April 2024, 10:29 by fajoogaloo
I feel like I must have missed something because this break in was waaaaay harder than I expected for a three star puzzle. The way that the parity island worked with the yin yang was very satisfying though. All in all a really good puzzle that I just wish I could've wrapped my head around a bit better.
----
Hey, thanks for solving the puzzle. I will write in a hidden comment the steps of the break-in. Maybe you can let me know which one made it harder than 3 stars for you.
-- ElChiglia
