Nightmare on Fillo Street
(Published on 7. September 2023, 00:37 by Jay Dyer)
Another puzzle with a ruleset based on that of Zetamath's puzzle Zeta's Nightmare. But for a different type of setting challenge I decided to apply the ruleset to fillomino instead.
Rules
- Divide the grid into ominoes (orthogonally connected regions) such that no two ominoes of the same size share an edge. Each cell contains a number equal to it's omino's size.
- A line connecting two circles is either a double arrow, or a between line, but not both. The identity of each line must be determined by the solver.
- Double arrow: the sum of the numbers on the line equals the sum of the numbers in the circles.
- Between line: the numbers on the line are all between, and not equal to, the numbers in the circles.
On a side note, I have a Patreon page as well, if you are interested in supporting my puzzle-making there. I also post patron-exclusive puzzles of various genres there each month.
Solution code: Column 3, with no separators between numbers.
Comments
on 17. March 2024, 21:41 by zhall12570
I didn't notice the "not both" part until I thought I had finished and wasn't getting the right code. Great puzzle!
on 17. September 2023, 07:20 by Agent
Cool puzzle, some surprising logic!
on 13. September 2023, 13:11 by Christounet
Beautiful !! So many deductions in this one. A real treat for fillo/ambiguity fans. Thanks !
on 11. September 2023, 19:29 by samuel1997
It is stunning! I feel I've broken it few times during the solve but there are always clever ways to escape. Love it!
on 8. September 2023, 16:16 by twobear
Thanks, KNT! Indeed I missed the “not both” condition.
Wonderful puzzle! Thanks!
on 8. September 2023, 14:58 by KNT
@twobear: one of the regions in the first half of your code is of the wrong size. double check the ‘not both’ part of the rules.
on 7. September 2023, 13:53 by MagnusJosefsson
Wonderful! So many nice moments. Great work!
on 7. September 2023, 00:52 by MicroStudy
spooky
