Pursuit (XVXV Fillomino)
(Published on 1. April 2023, 04:31 by Xendari)
My recent solving obsession has been fillomino variants, and I wanted to try my hand at setting my own. The primary inspiration for this one comes from SudokuExplorer's exceptional Anti-Divisor Fillomino. Your feedback is appreciated, and I hope you enjoy Pursuit :)
Rules
Fillomino: Divide the grid into regions such that no two orthogonally adjacent regions have the same size. Place a number into every cell equal to the size of its region.
XVXV (neg. constraint): V, X, and XV clues indicate a border between two regions whose sizes combined sum to 5, 10, or 15 respectively. Additionally, no two regions whose sizes combined sum to a multiple of 5 (including 20, 25, et cetera) may share an edge unless that edge has a clue.
Solve online: Penpa (with solution check) | SudokuPad (no solution check)
This puzzle is better suited for solving on Penpa. If you prefer SudokuPad, I recommend using corner marks to notate tens digits and centre marks for units.
Solution code: Row 6
Comments
on 7. January 2024, 23:15 by Playmaker6174
Very funny puzzle with some neat uses of the negative constraint, thanks!
on 19. September 2023, 05:41 by MicroStudy
jessie xendari has done it again
on 23. August 2023, 12:04 by Felis_Timon
Just one thing about the rules:
For example: If the region in r2c2 comes to r1c1 then r1c1 and r2c1 would add up to ten. I believe the rules are supposed to say that's not possible. But I think the rules do allow this since these two regions are connected by the X between r2c1 and r2c2.
I'm probably the only one who got confused by this but it's probably worth pointing out
--
Thanks for solving and feedback Felis! I've updated 'may [not] share an edge without a clue' --> 'may [not] share an edge unless that edge has a clue.'
on 28. July 2023, 18:06 by fitzie
Very nice puzzle, liked how the negative constraint came into play. I know I got row six right, and sudokupad actually says I solved it, but I cannot get penpa to tell me I solved it. Am I supposed to use colors or "long" to put in cell values? [edit: i figured it out, first time using penpa]
on 23. June 2023, 01:08 by Christounet
Gotta love a good negative contraint ! This one was particularly fun to play with. Thanks :)
on 1. May 2023, 00:31 by mathpesto
Fantastic right til the end!
on 30. April 2023, 06:36 by annaswan
This was a beautiful puzzle!
on 2. April 2023, 00:03 by Jesper
Good fun, thanks!
on 1. April 2023, 21:56 by SudokuExplorer
Really fun and approachable Fillomino, thanks!
Nice tweak on the XV variant :-)
on 1. April 2023, 06:40 by KNT
really fun, thanks :)
