This is an extension of my puzzle RDX, which used Japanese sums on a fillomino with sums separated by parity instead of by shading. For this version, all the Japanese sum clues and the position of the fillomino itself within the grid must be determined by the solver. I think the combination allows for some pretty interesting logic. This is also the first puzzle I've set entirely by hand, without solver assistance. Hope you enjoy!
Rules:
Somewhere in the grid there is a 6x6 box, the position of which must be determined by the solver, and inside which standard fillomino rules apply.
Fillomino: the inner box must be divided into orthogonally-connected regions such that regions of the same size don't touch orthogonally. Each cell within a region contains a digit equal to its size.
Killers: numbers in cages *may* repeat and must sum to the number in the top-left corner of the cage. Blank cells are treated as zero for this sum.
Japanese Sums: some of the cells outside the box contain numbers which are Japanese Sums-style clues indicating the sums of contiguous runs of cells within the row or column of the inner box that all have the same parity (odd or even). Runs are maximal: they end either at the edge of the inner box or when meeting a cell of the opposite parity.
All clues for every row and column of the inner box must be filled in as numbers in the cells outside the box, in the correct order, in the corresponding row or column. Clues can be on either side (or both) of the inner box (the clues on either side of the box are read as one string, skipping over the inner box, top down or left to right). There are no gaps between clues or between a clue and the inner box. Every cell outside the box and not containing a clue must be empty.
Solve link:
Puzzle:
Example grid:
This is an example of a 4x4 fillomino to demonstrate a filled out grid, with the fillomino, sums, and shading for parity. This is not intended as a puzzle, just an illustration.
Lösungscode: Row 7 of the overall grid followed by column 3, with blanks replaced with zero
am 9. September 2024, 07:38 Uhr von Silverstep
Interesting concept, nice execution.
am 11. Juni 2024, 07:13 Uhr von wisty
BEAUTIFUL... so many phenomenal deductions! Thank you so so much! I had such a blast solving this! It's incredibly bizarre, it's a wonderful concept to begin with and the execution is so clean and comedic and easy to appreciate. Low 5 star difficulty for me. The mechanical intuition you gain through the process is so natural and ridiculous at the same time. One of my favorite puzzles ever. Definitely going to try and tackle the other puzzles like this sometime (Book Wyrm scares me...)
am 26. Januar 2024, 16:55 Uhr von Christounet
Super fun and well constructed ! Came together very nicely. Thanks :)
am 25. Oktober 2023, 20:36 Uhr von Agent
Very creative and interesting ruleset, thanks! Not too hard but one needs to be very careful.
am 6. Oktober 2023, 15:40 Uhr von Myxo
Absolutely wonderful puzzle, it requires a unique way of thinking about japanese sums and fillomino :)
am 3. Oktober 2023, 19:57 Uhr von KNT
very inventive idea! enjoyed it, and not too hard.
am 27. September 2023, 04:55 Uhr von Xendari
Awesome puzzle! The ruleset is super creative - it’s initially unfamiliar, but the basic deductions at the beginning make it far easier to understand. Would love to see a bigger version :))