Habitat 67
(Eingestellt am 15. Oktober 2024, 18:35 Uhr von 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.
Lösungscode: The sizes of the regions overlapping column 2, from top to bottom. (several numbers, no spaces. One number per region.)
Kommentare
am 24. Oktober 2024, 20:52 Uhr von LeiZ123321
wonderful puzzle, loved solving it! :)
am 22. Oktober 2024, 21:11 Uhr von Flinty
Thank you for this puzzle. It's beautiful use of Dutch Flat Mates.
am 21. Oktober 2024, 17:18 Uhr von MagnusJosefsson
Wonderful! Very smooth and super-enjoyable!
am 19. Oktober 2024, 14:47 Uhr von 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).
am 18. Oktober 2024, 22:25 Uhr von parqueflick
This puzzle is simply sublime. What an amazing collection of logical interactions. Several of the steps left me grinning in surprise.
am 18. Oktober 2024, 13:18 Uhr von Franjo
An extraordinary puzzle which left me lost for words! Thank you so much for sharing this wonderful masterpiece.
am 18. Oktober 2024, 07:15 Uhr von Piatato
Very elegant and fun, thanks!
am 18. Oktober 2024, 00:01 Uhr von ascension
Very good puzzle!
am 16. Oktober 2024, 04:46 Uhr von Agent
Very cool puzzle, simple and elegant!
am 16. Oktober 2024, 02:53 Uhr von thrutch
WOW!
am 15. Oktober 2024, 23:58 Uhr von 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!
am 15. Oktober 2024, 23:15 Uhr von sfushidahardy
Added answer-checker to sudokupad link.
am 15. Oktober 2024, 22:00 Uhr von Christounet
Great ! Strange and beautiful, as mentioned before. Thanks :)
am 15. Oktober 2024, 21:25 Uhr von 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.
am 15. Oktober 2024, 19:21 Uhr von goodcity
Great puzzle ! So glad someone made a dutch Flat Mates Fillomino and such a great one. I learned a lot with this puzzle !
am 15. Oktober 2024, 18:55 Uhr von RJBlarmo
Awesome puzzle! The Dutch flatmates constraint interacts very nicely with the fillomino and mod-3 groups.
