Japanese Sum Cave Cipher #6: Fillomino
(Published on 5. November 2022, 16:24 by KNT)
Divide the grid into orthogonally connected regions such that no two regions of the same size share an edge, and enter a number into each cell equal to the size of its region. Shade some cells in the grid such that the final shading of the grid resembles a valid cave (all unshaded cells are orthogonally connected and all shaded cells are orthogonally connected by other shaded cells to an edge of the grid). Every region is either entirely shaded or entirely unshaded.
Outside clues are Japanese sum clues. "?" is a stand in for any digit 0-9, but for a double digit number, the first digit may not be 0. Each distinct letter represents some unique digit from 0 to 9.
Clues to the left of the grid are Japanese sum clues for either shaded or unshaded groups of cells, where each group needs at least one of the other (shaded or unshaded) to separate the groups. Clues to the top of the grid are Japanese sum clues for the OTHER of shaded or unshaded. (That is, if it turns out clues to the left indicate sums of unshaded blocks, clues to the top indicate sums of shaded blocks). For each row or column, either all or no outside clues are given.
The number in a cell with one or more arrows indicates the total number of cells with opposite shading to itself in the directions of the arrows combined.
Answer check is enabled with blue digits, or with correct edges placed.
Solution code: Row 6
Comments
on 28. March 2024, 20:10 by Christounet
Awesome puzzle ! The opening did not feel that tricky for me, because it seemed quite obvious what clues needed to be investigated to get this going. Thanks :)
on 14. January 2024, 13:38 by Piatato
Great puzzle! Really challenging in the sense that my instincts some times worked against me. It took me a couple of restarts, but when I got into it I had a lot of fun!
on 9. January 2023, 21:46 by Myxo
Bottom right was a bit too hard, the rest is great!
on 30. December 2022, 06:14 by Xendari
This is one of the first fillominos I finished, so I found the logic particularly challenging. However, I loved every step in the solve path - it felt very refreshing and was overall just really beautiful. Thanks KNT :)
on 17. November 2022, 09:26 by Alex
amazing puzzle!
on 14. November 2022, 07:56 by Agent
Very clever and brutally hard puzzle. The hardest for me was not even the break-in, but the resolution at the end with the arithmetic of row 9.
on 13. November 2022, 08:19 by ibag
Wow! Nachdem ich erstmal vom Schlauch gestiegen bin ging es gut voran. Der Schluss hat es natürlich auch nochmal in sich.
on 10. November 2022, 08:35 by Statistica
Harter Einstieg, danch weiter schwierig, aber super spannend. Ein Meisterwerk!
on 8. November 2022, 23:43 by the_cogito
Really cool puzzle, and not *too* hard, at least for me, cute ending :)
on 8. November 2022, 13:31 by AnnaTh
Very hard. If I had read the comments before solving I wouldn't have had the courage to give it a go. Glad, I hadn't. What an adventure!
on 6. November 2022, 10:20 by marcmees
Ouch! When I thought I got through the hard part, I was wrong. The ending is extremely tricky. Extremely nice. Thanks.
on 6. November 2022, 05:48 by Vebby
Amazingly good! My favourite of the series as well!
on 5. November 2022, 22:27 by Jesper
An amazing puzzle! I really enjoyed testing this, so much fun throughout the solution path :)
on 5. November 2022, 22:06 by MagnusJosefsson
Amazing, my favorite in the series!
on 5. November 2022, 22:04 by KNT
Edited link and LMD page to fix typo in rules.
on 5. November 2022, 21:54 by polar
If you gave me this puzzle to solve and I didn't know who the author was, I'm pretty sure I would have guessed incorrectly ;) Beautiful puzzle thank you
on 5. November 2022, 19:20 by ONeill
What a magnificent construction. The end of this puzzle is really quite spectacular. Thank you!
on 5. November 2022, 18:21 by Niverio
Tricky tricky! Hardest of the entire series imo, but not less fun in any other way!
on 5. November 2022, 16:23 by KNT
This puzzle has a tricky break in, so if you have trouble finding it, leave a hidden comment and I will give you a push in the right direction. I would not like you to be unable to experience this puzzle because of difficulties starting it.
