Japanese Sums Fillomino (10x10)
(Published on 2. December 2021, 09:41 by Jesper)
Rules
- Shade some squares and divide the rest of the grid into regions, with each region consisting of one or more orthogonally connected squares
- Each unshaded square must contain a number equal to the number of squares in its region
- No two regions of same size may share an edge
- Clues outside the grid indicate the sums of groups of adjacent numbers in the respective row or column, separated by at least one shaded square.
- If clues are provided for a row or column, then all clues for that row or column are provided, and in the correct order.
- A dot stands for any digit 0 to 9, however the first dot in a two-digit number cannot stand for 0
Example (7x7):
The example has been designed to facilitate some insights that could be helpful for the break-in of the main puzzle. I highly recommend getting familiar with the solution path of the example puzzle first.
Penpa+: Example puzzle (7x7)
The puzzle follows:
Penpa+: Japanese Sums Fillomino (10x10)
The solution check requires shading + all numbers entered.
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Solution code: Row 3 followed by column 8. S for a shaded square.
Comments
on 11. December 2023, 22:00 by StephenR
Fits together like the best designed jigsaw puzzle. Several times I thought I'd broken it but was able to retrieve the situation. Incredible, thanks!
on 13. January 2023, 15:15 by Myxo
Awesome puzzle! Since I've solved a few brutal puzzles of the same genre already, this one almost felt easy.
on 11. January 2023, 23:54 by Xendari
I think I got very lucky finding the opening in the first few minutes. It was a very smooth solve with nothing extremely difficult. I found the mid to late solve more scary than anything - all the clues are *just* resolvable once all the options are considered ;) the combination of the two constraints was very satisfying to solve with. Thank you!
on 22. November 2022, 00:17 by ONeill
Wonderful puzzle and not too difficult. Thanks!
on 18. October 2022, 16:25 by Christounet
Wow, that was hard and quite challenging. I found the last part harder than the beginning of the puzzle, particularly the top right corner and the final which were very tricky for me. It is hard not to make mistakes about the size of the sums when you're so used to sudoku sums as I am. But that mind bending process is why I'm here for, so thanks for that !
EDIT @Christounet: Thanks for solving! Did you see the hidden comment with the link to a video showing the intended break-in? If you found the top right corner tricky, I suspect you might have missed some of the logic shown in that 5-minute video.
on 18. August 2022, 02:05 by KNT
The start was a massive challenge for me. Possibly the hardest puzzle I've done from you so far? Nevertheless great fun to figure out
on 29. May 2022, 15:41 by zetamath
This is one of my favorite puzzles I have ever done. Very easily 5 stars in difficulty for me, I found this very satisfying but very challenging.
on 31. December 2021, 06:11 by polar
This combination was awesome! I'm officially a fillomino convert now after going through your puzzles :) Thank you so much!
on 6. December 2021, 11:04 by Jesper
@SudokuExplorer: Thanks for solving, and well done! Glad to hear that you enjoyed it :-)
on 5. December 2021, 20:57 by SudokuExplorer
Got it on the second attempt! The start was the challenging part but all the logic was fair. Great puzzle as always! :-)
on 5. December 2021, 13:00 by SudokuExplorer
The logic in the 7x7 example was a lot of fun and quite tricky! Will definitely try the 10x10 soon :-)
on 3. December 2021, 20:46 by Jesper
@ibag: Vielen Dank! Freut mich sehr, dass auch eine Japanische Summen-Meisterin Gefallen an dem Rätsel findet :)
@marcmees: Thanks for solving, and for the nice feedback! I'm happy to hear that you found it consistently hard, as I was a bit concerned that the break-in might be too tricky compared to the rest of the puzzle.
on 3. December 2021, 17:29 by ibag
Wirklich ein fantastisches Rätsel. Und ich bin brav in jede Falle getappt! ;-))
on 2. December 2021, 21:01 by marcmees
Consistently hard & nice. Thanks.
on 2. December 2021, 16:01 by Vebby
Fantastic puzzle! I made a couple missteps in haste but figuring out the alternate possibilities and fitting everything together made it very satisfying to solve. Thanks Jesper! Your growing catalogue of fillomino variants is truly extraordinary. :)
on 2. December 2021, 12:34 by Jesper
@Mark Sweep: Thanks, Mark! And don't be so quick to take the combination off your list - I am sure there is more to explore about it :) If nothing else, I think a Cryptic Japanese Sums Fillomino would be fascinating.
on 2. December 2021, 12:15 by Mark Sweep
Wonderful puzzle! The hardest was the break-in, since the options seem almost unlimited initially, but after that it flowed very smoothly.
Also, this combination was on my list of ideas, so thank you for saving me some work ;)
on 2. December 2021, 11:46 by Jesper
Re-phrased the first bullet point in the English rules slightly to make it less ambiguous
