Chaos Fillomino- Highest position
(Published on 17. September 2021, 10:00 by Mark Sweep)
For the second puzzle in this series, I unfortunately had to resort to placing digits inside the grid. I plan to create some sort of follow-up where that (hopefully) is not necessary. Enjoy this one!
Rules
Fillomino rules: Divide the grid in regions, such that no two regions of the same size touch orthogonally. Each cell contains a number that indicates the size of the polyomino it is in.
Clues outside the grid indicate the distance to the first seen highest number in the corresponding row/column. So, starting from a clue X, the Xth cell from that direction is the first appearance of the highest value in that row/column.
For example, the 2 in row 2 means that R2C8 contains the highest number in the row (although R2C1 to R2C7 may or may not have the same value).
Solve on Penpa
Solution code: Row 2, row 8
Comments
on 2. September 2023, 15:19 by QuiltyAsCharged
A very good puzzle, thanks for sharing it! I came across it in an old Cracking the Cryptic video. (Title: "Sudoku Rules Do Not Apply!")
on 7. June 2023, 06:56 by konklone
Excellent puzzle! It took me a while to get my brain to treat the ">=" constraints with sufficient care, but once I did it was a great experience with several "surely I've broken it??" moments where I had not broken it. Great stuff!
on 23. October 2022, 00:41 by Agent
Very clever puzzle! I loved this sort of incrementation of region sizes.
on 15. October 2021, 10:03 by Aspartagcus
Got stuck a couple of times, but it's an absolutely wonderful puzzle! Thanks!
on 13. October 2021, 11:51 by Mark Sweep
Changed some semantics
on 8. October 2021, 15:02 by BenceJoful
What a great puzzle! Definitely stretched my idea of what a fillomino can be.
on 23. September 2021, 02:29 by Genomico
Very nice puzzle and beautifully constructed! Thank you for making it :)
on 18. September 2021, 21:53 by Phistomefel
Nice puzzle idea and wonderfully put together! Thank you, Mark!
on 18. September 2021, 01:00 by MagnusJosefsson
Very nice and pleasant!
on 17. September 2021, 16:30 by Jesper
Very cool! Nice concept and a lot of fun to figure out.
on 17. September 2021, 13:21 by marcmees
very nice construction. thanks.
