Habitat 67
(Published on 15. October 2024, 18:35 by sfushidahardy)
Another puzzle for a weekly Scojo prompt: "make a puzzle using the Dutch flatmates constraint". I hope you enjoy it!
- Fillomino: Subdivide the grid into orthogonally connected regions such that regions of the same size do not share a border, and fill every cell with the number equal to the size of its region. Each "?" represents a digit from 1 to 9 which must be deduced.
- Dutch flatmates: every cell containing the number 5 either has a number-1 cell above it, or a number-9 cell below it (or both).
- Mod-3 groups: all cells containing numbers which are equal modulo 3 form a single orthogonally connected group. This means every cell in the grid belongs to one of three orthogonally connected groups. (I recommend shading cells to keep track.)
Solve Habitat 67 in Penpa+ (recommended).
Solve Habitat 67 in Sudokupad.
Solution code: The sizes of the regions overlapping column 2, from top to bottom. (several numbers, no spaces. One number per region.)
Comments
on 24. October 2024, 20:52 by LeiZ123321
wonderful puzzle, loved solving it! :)
on 22. October 2024, 21:11 by Flinty
Thank you for this puzzle. It's beautiful use of Dutch Flat Mates.
on 21. October 2024, 17:18 by MagnusJosefsson
Wonderful! Very smooth and super-enjoyable!
on 19. October 2024, 14:47 by The Book Wyrm
Great puzzle. Clever ruleset with interesting consequences, executed very well. Smooth puzzle, and not too difficult (given prior knowledge of certain concepts).
on 18. October 2024, 22:25 by parqueflick
This puzzle is simply sublime. What an amazing collection of logical interactions. Several of the steps left me grinning in surprise.
on 18. October 2024, 13:18 by Franjo
An extraordinary puzzle which left me lost for words! Thank you so much for sharing this wonderful masterpiece.
on 18. October 2024, 07:15 by Piatato
Very elegant and fun, thanks!
on 18. October 2024, 00:01 by ascension
Very good puzzle!
on 16. October 2024, 04:46 by Agent
Very cool puzzle, simple and elegant!
on 16. October 2024, 02:53 by thrutch
WOW!
on 15. October 2024, 23:58 by DubiousMobius
Delightful from start to finish! I enjoyed how varied each 5 region's logic felt. I'm also particularly partial to that row 4 question mark. Thanks for setting!
on 15. October 2024, 23:15 by sfushidahardy
Added answer-checker to sudokupad link.
on 15. October 2024, 22:00 by Christounet
Great ! Strange and beautiful, as mentioned before. Thanks :)
on 15. October 2024, 21:25 by MaizeGator
The interactions between the rulesets is so excellent in Habitat 67 that it's incomprehensible that this particular combination has never been done before.
I also love how the implications of the interacting rulesets seem strange at first, but by the end of the solve seem second-nature.
on 15. October 2024, 19:21 by goodcity
Great puzzle ! So glad someone made a dutch Flat Mates Fillomino and such a great one. I learned a lot with this puzzle !
on 15. October 2024, 18:55 by RJBlarmo
Awesome puzzle! The Dutch flatmates constraint interacts very nicely with the fillomino and mod-3 groups.
