Parity-Linked Fillomino & Slitherlink
(Eingestellt am 30. Dezember 2021, 00:00 Uhr von 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!
Lösungscode: For the cells inside the Slitherlink loop in rows 2, 4, 7 and 9, the corresponding Fillomino value (left to right).
Kommentare
am 9. Februar 2023, 21:02 Uhr von 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 :-)
am 18. Januar 2022, 18:04 Uhr von 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. :-)
am 18. Januar 2022, 10:25 Uhr von CHalb
Great! I really liked the solving feeling and the ideas I had to come up with :-).
am 1. Januar 2022, 14:22 Uhr von 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.
am 31. Dezember 2021, 00:49 Uhr von Vebby
Cool idea! I really struggled with a couple deductions towards the beginning, but after that it got a lot smoother.
am 31. Dezember 2021, 00:03 Uhr von cdwg2000
Very nice!
am 30. Dezember 2021, 22:10 Uhr von SudokuExplorer
@Statistica: You're welcome! I'm really glad that you had a pleasant solve :-)
am 30. Dezember 2021, 21:36 Uhr von Statistica
Great! Thank you for the pleasure.
am 30. Dezember 2021, 21:07 Uhr von SudokuExplorer
Increased difficulty from 3 to 4 stars after feedback.
am 30. Dezember 2021, 21:07 Uhr von 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 :-)
am 30. Dezember 2021, 15:44 Uhr von Dina
Very nice and quite challenging puzzle! Lots of fun logic :-D
am 30. Dezember 2021, 15:16 Uhr von Jesper
A wonderful puzzle! Really nice concept. The puzzle itself is challenging, but definitely a lot of fun.
am 30. Dezember 2021, 02:05 Uhr von Skyler
Really cool and enjoyable idea!
