Parity-Linked Fillomino & Slitherlink
(Published on 30. December 2021, 00:00 by SudokuExplorer)
Partition the grid into areas such that no two areas of the same size are orthogonally adjacent.
Fill each cell of a N-cell area with the number N.
The 10x10 puzzle on the right is a Slitherlink.
Draw a single continuous loop by connecting neighbouring dots along the dotted lines.
A number in a cell indicates how many of its edges are used by the loop.
The loop may not touch or cross itself, and it doesn't need to touch all of the dots.
The two grids have the relationship that corresponding cells contain numbers of the same odd-even parity.
You can try this on Penpa+. Enjoy!
Solution code: For the cells inside the Slitherlink loop in rows 2, 4, 7 and 9, the corresponding Fillomino value (left to right).
Comments
on 9. February 2023, 21:02 by VolkerNö
Very nice combination! Only at one point I didn't find a logical explanation and therefore used intuition ...
Please, more off this funny stuff :-)
on 18. January 2022, 18:04 by SudokuExplorer
@CHalb: Thanks for the lovely feedback! I tried to sequentially choose clues that would lead to multiple deductions, so I'm really pleased you enjoyed the solving ideas. :-)
on 18. January 2022, 10:25 by CHalb
Great! I really liked the solving feeling and the ideas I had to come up with :-).
on 1. January 2022, 14:22 by SudokuExplorer
@cdwg2000: Thanks! I'm really pleased you enjoyed this puzzle combination :-)
@Vebby: Thanks for the detailed feedback :-) I'm really pleased you managed to get past the tricky start and found the puzzle smoother afterwards. Btw the slitherlink clues R4C10 and R9C10 are not needed for uniqueness, but after getting it tested I introduced those clues to smoothen the solve.
on 31. December 2021, 00:49 by Vebby
Cool idea! I really struggled with a couple deductions towards the beginning, but after that it got a lot smoother.
on 31. December 2021, 00:03 by cdwg2000
Very nice!
on 30. December 2021, 22:10 by SudokuExplorer
@Statistica: You're welcome! I'm really glad that you had a pleasant solve :-)
on 30. December 2021, 21:36 by Statistica
Great! Thank you for the pleasure.
on 30. December 2021, 21:07 by SudokuExplorer
Increased difficulty from 3 to 4 stars after feedback.
on 30. December 2021, 21:07 by SudokuExplorer
@Skyler: Thanks! I'm pleased that you enjoyed this puzzle idea :-)
@Jesper: Thanks a lot for your kind feedback! :-) I'm really pleased you liked the concept and enjoyed working out some of the tricky logical deductions. I might increase the difficulty rating.
@Dina: Thanks! I'm really glad you enjoyed discovering some of the tricky logic :-)
on 30. December 2021, 15:44 by Dina
Very nice and quite challenging puzzle! Lots of fun logic :-D
on 30. December 2021, 15:16 by Jesper
A wonderful puzzle! Really nice concept. The puzzle itself is challenging, but definitely a lot of fun.
on 30. December 2021, 02:05 by Skyler
Really cool and enjoyable idea!
