Yin Yang Kropki Sudoku
(Published on 19. April 2022, 10:24 by Phistomefel)
Now for the rules of the Yin Yang Kropki Sudoku:
- Every row, column and marked 3x3 area contains each number from 1 to 9 exactly once.
- Color the cells in the grid black and white such that the set of each color is connected and that no 2x2 area is covered in only one color.
- The given grey dots indicate that the two connected cells have the same color. The Kropki dot takes over the color of the cells, i.e. if a grey dot is between two cells and both are black, their digits are in a 1:2 ratio, and if they are white, their digits are consecutive.
- All possible grey Kropkis are given.
At the end of the puzzle, when all the cells are colored and all the numbers are entered, two adjacent black cells may contain numbers in a ratio of 1:2 only if there is a gray Kropki between them. Similarly, two adjacent white cells may contain consecutive numbers only if there is a gray Kropki between them. The following scenarios are possible without any problems:
- Two consecutive numbers in adjacent black cells.
- Two numbers in the ratio 1:2 in adjacent white cells.
- Any relationship between numbers in adjacent cells with different color.
Here you can find a link to the example.
Now for the puzzle. It is also available online via Penpa Plus. Have fun solving!
Solution code: The last column
Comments
on 22. March 2024, 13:03 by mikepautov
This is art.
on 1. August 2022, 01:38 by Samish
I took so much pleasure progressing through that puzzle that it litterally got tears to my eyes. So smooth, so clever, that I'm lost for words... I'll just say "magic". Thank you
on 20. June 2022, 23:17 by Christounet
As I'm not familiar with Yin Yang, I had to stare at this for quite some time before I had this wonderful epiphany about a very important property that comes when you think carefully about the definition of Yin Yang ! I also liked the disambiguation between the Yin and the Yang ! This will stay in my memory for some time.
on 11. May 2022, 11:38 by Playmaker6174
Forgot to register my solve for this one and I'd like to say that this is certainly one of the nicest puzzles from you! :)
Beautiful harmonic interplays between both types of puzzle and I really like how the solve path is full of nice subtle logics that require some careful yet not anywhere near extreme thoughts :}
on 29. April 2022, 20:28 by Klausku
Sehr coole Regelkombination. Meine Herangehensweise war die wohl richtig, denn es gibt eigenlich nur einen Weg rauszufinden was schwarz und was weiß ist. Hab dennoch 3 Stunden 15 gebraucht, aber ich hab es ohne Hilfe geschafft <stolz>. Danke für den tollen Zeitvertreib.
on 28. April 2022, 06:44 by rhinofifteen
Phenomenal puzzle. Took me a few hours but so brilliantly set and very rewarding to solve
on 24. April 2022, 00:55 by OGRussHood
The man, the myth, the legend does it again. The perfect puzzle to fit the constraints.
on 23. April 2022, 15:51 by Tilberg
Zauberhaft!
on 20. April 2022, 16:16 by Crusader175
Took me a really really long time to solved this, but I did it! Another brilliant puzzle!
on 20. April 2022, 10:29 by henrypijames
Looks incredibly hard initially (as does every Phistomefel puzzle, of course), but ends up to be just 3⅔ stars difficulty for me. And this despite me having to wander around for a while before discovering that fundamental piece of logic regarding yin-yang, which I imagine is as well known as The Secret for those who're familiar with YY. :D
on 20. April 2022, 02:30 by RJBlarmo
Brilliant way of combining the puzzle types and a very nice solve!
on 20. April 2022, 01:53 by Genomico
Brilliant!
on 19. April 2022, 23:02 by Phistomefel
Thank you so much for the nice feedback, everyone! I am very glad that you enjoyed the puzzle. I have to admit though that I once again misjudged how difficult the puzzle is.
Yin Yang is slowly becoming one of my favorite puzzle types. So I was especially happy to read that the Yin Yang part was more interesting this time than in my first Yin Yang Sudoku.
on 19. April 2022, 22:44 by h0_0man
Very nice. I was stuck for over 1 hour, then I solved the 6x6, and understood the unusual yin yang logic. Thanks !
on 19. April 2022, 22:25 by kolot
Very nice combination!
on 19. April 2022, 20:31 by ___
very enjoyable constraint combination. the example puzzle was also appreciated. thanks Phistomefel!
on 19. April 2022, 20:23 by Vebby
Very nice! Took me a while to find the break-in but after that it flowed beautifully. Thanks Phistomefel! :)
on 19. April 2022, 19:10 by Prutsbeest
Very very nice construction! Thanks for this wonderful puzzle!
on 19. April 2022, 18:08 by MagnusJosefsson
Very nice puzzle with really interesting logic! I especially enjoyed the very clever Yin Yang part.
on 19. April 2022, 17:17 by Mody
hat großen Spaß gemacht :)
on 19. April 2022, 17:10 by Nightingale's Code
Figuring out Penpa is proving to be as much of a challenge as the puzzle itself =D
on 19. April 2022, 15:31 by Jesper
Very nice! I like the balance in difficulty between the Ying Yang logic and the Sudoku logic. This is a true mix, rather than just a Sudoku with an additional Ying Yang constraint to make it interesting.
on 19. April 2022, 14:20 by Dandelo
Sehr schön.
Hab's 2x vor die Wand gefahren, da muss man echt höllisch aufpassen. Aber beim dritten Anlauf war der logische Lösungsweg dann sehr klar.
