Roller Coaster Fillomino #1 (7x7)
(Published on 27. March 2021, 18:32 by Jesper)
Rules
1) 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
But: all regions of size 1 are given
Also, draw a single closed loop, passing through some of the squares in the grid. The loop connects the centers of orthogonally adjacent squares, and may never branch off or intersect itself.
Consider a "loop segment" as all squares on a straight part of the loop - from one loop turn to the next (inclusive). Then:
- Clues left of the grid show the sums of digits on horizontal loop segments in the corresponding row (in the right order).
- Clues above the grid shows the sums of digits on vertical loop segments in the corresponding column (in the right order)
All outside clues are given. A dot stands for any digit 0-9. A two-digit number cannot start with 0.
Example:
The puzzle follows:
Penpa+: Roller Coaster Fillomino #1 (7x7)
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Solution code: row 2 followed by column 2
Comments
on 12. March 2023, 16:03 by Euclid
Very nice! I hadn't solved a roller coaster puzzle before, so it look me a little while to make sense of how the loop worked. But it was smooth sailing from there. Looking forward to trying the 9x9.
on 18. February 2023, 18:21 by PrimeWeasel
The end tripped me up alright, felt more like looking for what worked, but maybe the logic was there. Anyway, nice puzzle
on 13. February 2023, 13:11 by Xendari
Very refreshing logic throughout. Loved the ending although it was hard for me to spot. Thanks!
on 19. October 2022, 00:37 by Christounet
Only dots ?!
The last part was a little harder that I had expected when I saw the rating.
Great puzzle and eager to try the bigger one !
on 30. November 2021, 19:12 by BenceJoful
Inventive and fun - Thanks!
on 22. April 2021, 10:28 by Statistica
Auch klasse!
on 5. April 2021, 05:15 by Phistomefel
I find it astonishing that so little information can lead to a unique solution. Thank you, Jesper!
EDIT @Phistomefel: you're welcome, and thanks for solving!
on 27. March 2021, 20:45 by spxtr
Enjoyable solve and an interesting variant, as always. Looking forward to #2 :)
EDIT @spxtr: Thanks! Great to hear you enjoyed it. It did not surprise me at all that you were the first to solve the puzzle :)
on 27. March 2021, 18:28 by Jesper
I made this as a warmup for my upcoming 9x9 Roller Coaster Fillomino. But the feedback from testing was that although a fun puzzle, the difficulty is at least 3 stars, and it might create the wrong expectation to refer to it as a warmup puzzle. So I now call it simply "Roller Coaster Fillomino #1".
Experienced Roller Coaster solvers will find the loop here very quickly, though. The 9x9 puzzle will have a lot more interaction between finding the loop and finding the Fillomino regions.
