Logic Masters Deutschland e.V.

Japanese Sum Cave Cipher #6: Fillomino

(Eingestellt am 5. November 2022, 16:24 Uhr von KNT)

Unlike the previous entries in this series, this puzzle is NOT a latin square, it is a fillomino.

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.

Play on Penpa+!

Answer check is enabled with blue digits, or with correct edges placed.

Below you can find a 6x6 example to demonstrate the ruleset.

Example puzzle

Lösungscode: Row 6

Zuletzt geändert am 5. November 2022, 22:14 Uhr

Gelöst von Niverio, ONeill, polar, MagnusJosefsson, Jesper, Vebby, marcmees, Koalagator2, AnnaTh, the_cogito, harrison, Statistica, ibag, Agent, ffricke, Alex, Mark Sweep, ascension, RJBlarmo, jkuo7, Xendari, Myxo, lerroyy
Komplette Liste


am 9. Januar 2023, 21:46 Uhr von Myxo
Bottom right was a bit too hard, the rest is great!

am 30. Dezember 2022, 06:14 Uhr von 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 :)

am 17. November 2022, 09:26 Uhr von Alex
amazing puzzle!

am 14. November 2022, 07:56 Uhr von 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.

am 13. November 2022, 08:19 Uhr von ibag
Wow! Nachdem ich erstmal vom Schlauch gestiegen bin ging es gut voran. Der Schluss hat es natürlich auch nochmal in sich.

am 10. November 2022, 08:35 Uhr von Statistica
Harter Einstieg, danch weiter schwierig, aber super spannend. Ein Meisterwerk!

am 8. November 2022, 23:43 Uhr von the_cogito
Really cool puzzle, and not *too* hard, at least for me, cute ending :)

am 8. November 2022, 13:31 Uhr von 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!

Zuletzt geändert am 6. November 2022, 10:22 Uhr

am 6. November 2022, 10:20 Uhr von marcmees
Ouch! When I thought I got through the hard part, I was wrong. The ending is extremely tricky. Extremely nice. Thanks.

am 6. November 2022, 05:48 Uhr von Vebby
Amazingly good! My favourite of the series as well!

am 5. November 2022, 22:27 Uhr von Jesper
An amazing puzzle! I really enjoyed testing this, so much fun throughout the solution path :)

am 5. November 2022, 22:06 Uhr von MagnusJosefsson
Amazing, my favorite in the series!

Zuletzt geändert am 5. November 2022, 22:04 Uhr

am 5. November 2022, 22:04 Uhr von KNT
Edited link and LMD page to fix typo in rules.

am 5. November 2022, 21:54 Uhr von 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

Zuletzt geändert am 5. November 2022, 19:22 Uhr

am 5. November 2022, 19:20 Uhr von ONeill
What a magnificent construction. The end of this puzzle is really quite spectacular. Thank you!

am 5. November 2022, 18:21 Uhr von Niverio
Tricky tricky! Hardest of the entire series imo, but not less fun in any other way!

am 5. November 2022, 16:23 Uhr von 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.

Bewertung:100 %
Gelöst:23 mal
Beobachtet:2 mal

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