MP: Region Sum Lines Fillomino
(Published on 28. January 2023, 14:28 by Myxo)
This puzzle was set as a gift for mathpesto's birthday. The combination of Fillomino and Region Sum Lines felt very intuitive for me, but some mean tricks are possible. Enjoy!
Rules:
Normal Fillomino rules apply. Divide the grid into regions, such that no two orthogonally adjacent regions have the same size. Write the size of its region into each cell.
All colored lines are region sum lines. For each line, numbers on the line have an equal sum N within each region the line passes through. If a line passes through the same region more than once (i.e. it visits at least one cell of a different region in between), each individual segment of the line within that region sums to N seperately. Every line must visit at least two regions.
Different colors are used for aesthetic purposes only.
M (example puzzle):
MP (main puzzle):
Solution code: Row 2 and Column 11
Comments
on 11. September 2023, 18:45 by zzw
Another amazing fillomino, thanks!
on 5. August 2023, 14:40 by Myxo
added example puzzle
on 6. April 2023, 09:55 by Xendari
Loved it, although I found it very hard and broke it too many times :P thanks!
on 6. February 2023, 08:20 by Statistica
Ganz klasse und überraschend.
on 2. February 2023, 22:21 by Niverio
A very unexpected turning wiggly fillomino experience!
on 31. January 2023, 10:37 by MagnusJosefsson
Fantastic! Very fun variant where you always know what to do but you still need to think at every step and the results often surprise you. Very well set!
on 30. January 2023, 08:54 by ONeill
Lots of fun :)
on 29. January 2023, 16:08 by Samish
Absolutely awesome puzzle, both the ruleset and the execution! I cannot recommend enough to any fillomino enjoyer to attempt this one. Each deduction is a blast to find, never really difficult but incredibly rewarding! Thanks a lot for setting this gem Myxo :)
on 29. January 2023, 04:01 by wisty
this is one of my favorite puzzles ever!!! very intuitive and fine-tuned and occasionally quite funny :)
on 28. January 2023, 23:44 by Christounet
What a gift ! Great construction with head scratching moments, leading to very cool epiphanies ! I knew I wasn't on a wild goose chase when my path led me to the green line between row 7 and 9. Thanks for this beauty !
on 28. January 2023, 21:25 by Agent
Very cool puzzle, surprisingly precise region building :)
on 28. January 2023, 18:21 by mathpesto
I loved this puzzle; so glad you have published it so others can enjoy! Really original logic and a delight til the very end :)
on 28. January 2023, 14:35 by dumediat
An incredible fillomino variant with some fascinating and surprising logic throughout. Masterfully set, what a wonderful gift to receive! :)
