Fillominoku
(Published on 15. December 2023, 02:40 by jsmirob)
Draw nine non-overlapping 3x3 boxes, and place the digits 1-9 once each in every box. Within these boxes, digits cannot repeat in any row or column.
In addition, the grid must be a valid fillomino. I.e.: divide the grid into orthogonally connected regions such that no two fillomino regions of the same size share an edge, and enter into each cell the size of its region.
Cells with cages count as n cells for the purposes of fillomino, where n is the number in the corner of the cage. For example, if the 2 cage was part of a 6 region, that fillomino region would only need to have 5 cells instead of 6 (because the caged cell counts as two). All 1s are given.
Solution code: Top-right 3x3 box, in reading order
Comments
on 22. May 2024, 23:02 by Playmaker6174
Wow, what a really fun and satisfying long ride! A shamefully overlooked puzzle (probably because of the premise here), but it definitely felt 4* for me overall.
Careful scanning and notations really helped me a lot and I especially liked how the ending was eventually resolved :)
on 6. January 2024, 12:21 by kmoter
Nice puzzle, that extended cage explanation helped a lot:-), thanks
on 4. January 2024, 22:02 by ascension
Fun puzzle!
on 30. December 2023, 04:46 by h5663454
Those two cages really bother me... even reading the rules over and over I can't understand how they work and how the numbers put in them are supposed to be interpreted...
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jsmirob: Take the 2 cage, for example. If that cage was part of a 6 region, that fillomino region would only need to have 5 cells instead of 6 (because the caged cell counts as two).
Edit: I reloaded the page and accidentally deleted your reply to this comment. Sorry!
on 16. December 2023, 23:30 by jsmirob
If you enjoyed this puzzle, be sure to try The Method of Differences by DarthParadox. In a delightful coincidence, we both arrived at very similar rulesets within days of each other!
https://logic-masters.de/Raetselportal/Raetsel/zeigen.php?id=000G7M
