Sandwich Fillomino #1 - Vicious Circle
(Eingestellt am 19. März 2021, 10:00 Uhr von Mark Sweep)
Here is a Fillomino variant that I have not really seen before (which does not mean it has not been done before though). I found it particularly hard to force much at the start of the solve, so the break-in can be quite hard. Because of this, I put it up at 5 stars as a warning, but it may well be 4 stars. Feel free to leave a hidden comment for a hint, as it will get a better flow after the break-in. Enjoy!
Rules
Fill the grid with regions containing numbers indicating their size. No regions of the same size may touch orthogonally. Clues outside the grid indicate the sum of numbers between the unique segments of highest numbers and lowest numbers in the row or column. Question marks are a non-zero integer.
Example
A dash (-) means there is no valid sandwich clue in that row/column. Note how in row 5, there is no valid clue, because even though the highest numbers in the row (the 8s) are from the same region, it is unclear which one would have to be chosen for the sandwich because they are separated. This is not a problem in for instance column 1, where all 8s in the column are connected within the column and thus form a single, unique segment of largest digits.
The puzzle
Solve on Penpa
Lösungscode: Digits in row 5 (left to right) and column 5 (top to bottom).
Kommentare
am 18. Dezember 2022, 16:37 Uhr von peacherwu2
Absolute genius! Thank you so much!
am 10. November 2022, 19:18 Uhr von polar
I'm not a big fan of sandwich normally, but I thoroughly enjoyed this twist on it. Brilliant puzzle - thanks!
am 13. Dezember 2021, 00:50 Uhr von harrison
Very Very cool puzzle. Needs and deserves more solves!!
am 22. November 2021, 20:08 Uhr von Statistica
WOW. Finally I found the right opening... Very clever til the end!
am 17. November 2021, 12:11 Uhr von Mark Sweep
Changed title from 'Vicious Circle (Sandwich Fillomino)' to 'Sandwich Fillomino #1 - Vicious Circle'
am 28. Juli 2021, 17:55 Uhr von Mark Sweep
Updated tags
am 25. März 2021, 17:57 Uhr von Mark Sweep
Thanks Wessel :)
am 21. März 2021, 20:42 Uhr von Wessel Strijkstra
One awesome puzzle :D
am 19. März 2021, 23:54 Uhr von Mark Sweep
Thanks for your nice comments MagnusJosefsson and Jesper! Your excellent Fillomino variants actually inspired me to try one with sandwich @Jesper, so thank you for that!
am 19. März 2021, 16:30 Uhr von Jesper
Very nice! It is no secret that I like Fillomino variants, and I really appreciate when other authors with new interesting ideas help to push and expand this category of puzzles.
am 19. März 2021, 14:54 Uhr von MagnusJosefsson
Awesome puzzle! Very interesting and exciting. While the break-in was perhaps the hardest part, I found it persistently challenging and enjoyable all the way through.
