X-Sums Fillomino #1 (9x9)
(Published on 30. January 2021, 16:40 by Jesper)
Rules
Standard Fillomino rules apply:
- Divide the grid into orthogonally connected regions
- Each square must contain a number equal to the number of squares in its region
- No two regions of same size may share an edge
Additionally: clues outside the grid indicate the sum of the first X digits in the corresponding direction, with X being the first digit in that direction.
As in standard Fillomino, any positive integer is allowed in the grid, however a number X (next to a clue) cannot exceed the number of squares in the respective row or column.
Example (6x6):
Penpa+ link: X-Sums Fillomino #1 (9x9)
The puzzle follows:
Solution code: column 3 followed by column 5
Comments
on 24. August 2024, 21:43 by Wessel Strijkstra
very nice, thanks:)
on 29. November 2023, 19:52 by Playmaker6174
Somehow I found this much smoother than #2, probably because everything felt so well-telegraphed all together to me but nonetheless, a really fun and satisfying fillo puzzle! ;)
on 17. September 2023, 15:33 by StephenR
Lovely combination of rules. At one point I wondered how on earth the middle of the grid was going to be resolved but of course Jesper worked it out beautifully.
on 18. February 2023, 09:55 by PrimeWeasel
Cool!
on 24. October 2022, 04:19 by ONeill
A great ruleset with some very nice logic!
on 21. October 2022, 04:42 by Agent
Very clever and fun puzzle!
on 19. October 2022, 20:39 by Christounet
Great puzzle. I'm really starting to get a sense of the fillomino logic by solving your puzzles, and it's becoming a favorite of mine. Thanks Jesper.
on 11. June 2022, 17:10 by KNT
This was great, thanks Jesper :)
on 12. December 2021, 00:09 by ERClawson
Great puzzle! I don't have a lot of experience solving these types of puzzles, but I found it very satisfying doing this one.
on 30. May 2021, 12:09 by William Cheese
Extraordinary!
on 6. February 2021, 14:23 by ibag
Schöne Konstruktion!
on 31. January 2021, 22:10 by Jesper
@Alexander Rappa: thanks! Indeed, #2 is already finished and tested, and will most likely get posted tomorrow.
@SudokuExplorer: well done, and thanks for solving!
on 31. January 2021, 18:40 by SudokuExplorer
Finally I solved one of your fillomino variants!
Thanks for the fun puzzle :-)
on 31. January 2021, 16:31 by Alexander Rappa
Very fun puzzle, thank you. I hope "#1" implies there will be more
on 30. January 2021, 15:45 by Jesper
Please note: the answer check in Penpa+ for this puzzle is based on the numbers entered into the grid. If the borders are correctly drawn, but not all numbers entered, Penpa will not give notice that you have successfully completed the puzzle.
