This is based off of the ruleset from my previous puzzle, "Whiski", which is more approachable, so I might recommend trying that one out first to familiarize yourself. If you get stuck, feel free to post a hidden comment, or find me on Discord and I'm happy to help out. Hope you enjoy!
Rules:
Fill some cells in the grid with the digits 1–9 so that no digit repeats in a row/column. Gray squares have even digits and gray circles have odd digits. All adjacent digits that are in a 1:2 ratio are joined by a black or gray dot. All adjacent digits with a difference of 5 or greater are joined by a green or gray dot. Cells with a circle, square, or dot contain a digit. All digits belong to a region, a collection of orthogonally connected cells. A region of size n contains the digits 1 through n once each. Regions may not touch each other orthogonally, although they may touch diagonally.
Puzzle:
Solution code: Ignoring blank cells, enter the digits in Rows 1 and 2 (left to right; no spaces)
on 25. July 2023, 19:59 by Counterfeitly
Phew, I broke this one at least 3 times before I finally got it working - negative constraints are tricky!
on 20. May 2023, 04:59 by dennischen
To be clear, there's no positive constraint (i.e. two digits joined by a black dot need not be in a ratio 1:2), just a negative constraint (all 1:2 pairs are joined by black/gray dots)?
Edit: nvm from Whiski it seems this is not the case. Reading is hard haha
on 6. December 2022, 21:22 by KNT
lots of fun, thanks :-)
on 12. September 2022, 21:51 by StephenR
Another magnificent and intricate puzzle, thanks mathpesto.
on 25. August 2022, 22:02 by Snookerfan
What a great puzzle, thank you so much!
on 15. August 2022, 09:28 by Mox
Didn't see this come out at the time, so this was a lovely discovery for me. A lovely, addictive puzzle I couldn't let go, despite getting stuck. Thank you, mathpesto!
on 27. July 2022, 17:58 by ___
absolute marathon. love working through this puzzle type. no step feels unreasonable. thank you mathpesto!
on 25. July 2022, 22:03 by soroush
Incredible finish with the negative constraint in the top row. Great puzzle!
on 23. July 2022, 01:24 by Bankey
Fascinating ruleset, but rather long. Thanks for setting, @ mathpesto :)
on 21. July 2022, 17:46 by Mody
Im dritten Anlauf geschafft, aber ich würde es gerne noch öfter versuchen ;)
Made it on the third try, but I'd like to try more often ;)
on 9. July 2022, 22:44 by Jesper
Very nice! The individual steps are not so hard, but the length of the solution path makes it challenging.
on 8. July 2022, 00:09 by JayForty
Great puzzle! It flows very nicely and I really enjoyed it. Thank you!