Fillomino Knights
(Published on 27. January 2025, 05:35 by Die Hard)
I've been told my puzzles should be more approachable and more fun to solve. Hopefully this one rises to the challenge.
Rules
Normal fillomino rules apply. Divide the grid into orthogonally connected regions, each filled with their size, such that no two regions of the same size touch each other orthogonally.
Use only region sizes of 1 to 9 and the digit N cannot appear in row N or column N.
Two digits separated by a black dot must be in a 1:2 ratio.
Two digits a knight's move apart must be different.
Please leave a comment if you enjoy this puzzle.
Solution code: Revealed on completion.
Comments
on 30. January 2025, 15:13 by Franjo
I needed some time to realize the consequences of this ruleset. Amazing how it works! Thank you very much for creating and sharing this lovely gem.
on 28. January 2025, 14:58 by Chlorophyll
I can't figure this one out - seems to me you can't place any digit in r2c3 or r3c2 without breaking one of the rules? Clearly I'm missing something but I don't know what!
Die Hard: There is a digit that will work in both cells. You might need to re-think which digits you believe can be in the grid or what shape the regions can be.
Chlorophyll: Came back to this just now and got it almost immediately -- can't believe I missed such an obvious shape! Fantastic puzzle, thank you!
on 28. January 2025, 02:28 by Calvinball
What a ride! It's crazy how powerful this combination of rules is.
on 27. January 2025, 10:43 by Nylimb
Brilliant puzzle! Thanks.
