Country Road Fillomino #1 (10x10)
(Published on 10. October 2022, 15:41 by Jesper)
Rules
Divide the grid into regions so that no two regions of the same size share an edge. Enter a number into each cell equal to the size of its region.
Further, draw a single closed loop that travels orthogonally through the center of cells, and visits each region exactly once. It may not branch or intersect itself.
Unvisited cells belonging to different regions may not be orthogonally adjacent.
The number in a cell with one or more arrows equals the combined number of cells in all indicated directions that are not visited by the loop (the clue cell itself is not counted).
Example (6x6):
Penpa+: Example puzzle (6x6)
The puzzle follows:
Penpa+: Country Road Fillomino #1 (10x10)
The solution check requires all edges or all numbers.
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Solution code: Column 1 followed by column 10
Comments
on 6. April 2023, 20:58 by ddx01
Brilliant puzzle!
on 13. November 2022, 18:13 by Agent
Very clever puzzle, loved every step of it!
on 7. November 2022, 18:57 by filuta
Brilliant construcion! It was very hard to keep track of all the things I needed to keep track of.
on 7. November 2022, 12:09 by peacherwu2
Are two digit numbers allowed?
EDIT @peacherwu2: Yes, absolutely! Regards, Jesper
on 25. October 2022, 07:30 by Mark Sweep
What an elegant way to combine these puzzle genres. Enjoyed it a lot!
on 20. October 2022, 02:59 by harrison
Loved this
on 19. October 2022, 12:48 by Phistomefel
@h5663454: I can assure you that the puzzle can be solved without any trial and error. Whenever I got stuck, I noticed that there was some clue that became more restricted or that there was a rule that I forgot about momentarily (mostly that the loop can only enter each region once or that cells without loop cannot be orthogonally adjacent to another when in different regions). I hope that maybe helps a little.
on 19. October 2022, 11:34 by h5663454
It's so hard, I can't find any breakthroughs after I do the second half, as if it can't be solved by logic anymore, it can only be done by trial and error...
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@Phistomefel Thank you very much, I thought about it carefully again, and although the process was still very tortuous, I finally solved the puzzle on my own.
on 19. October 2022, 10:38 by Phistomefel
That was a lot of fun. Thank you, Jesper!
on 15. October 2022, 19:09 by Niverio
My first country road solve, and it was absolutely beautiful!
on 14. October 2022, 08:18 by Statistica
Großartig! Mit einigen schönen Pointen. Vielen Dank!
on 13. October 2022, 16:39 by Christounet
Loved it !!! The logic with the diagonal clue left me speechless. I also appreciated the way you ended the puzzle on a subtle region construction. I almost felt like a clue was missing until I remembered that very important rule that made it possible... Another piece of art... Thanks.
on 13. October 2022, 12:53 by marcmees
thanks for the puzzle. I must admit I missed some logic to close the loop on the left side of the grid.
on 11. October 2022, 23:16 by ONeill
This is a brilliant original puzzle! Excited for the second.
on 11. October 2022, 04:14 by polar
Your ability to make such original & enjoyable fillomino puzzles never fails to amaze to me - thanks Jesper :)
on 10. October 2022, 22:24 by KNT
Loved the ruleset, always great to solve something so intricate and different, yet also intuitive. looking forward to the second! (one of your best puzzles too, in my opinion)
on 10. October 2022, 18:45 by Vebby
Brilliant puzzle, loved the rule-set! Lots of fresh, unusual logic. Look forward to the sequel!
