Double fillomino
(Eingestellt am 8. Dezember 2022, 15:38 Uhr von filuta)
Enjoy the puzzle, I will be happy to read your comments.
Rules:
- Write a number in every cell in the grid.
- (standard fillomino) Divide the grid into regions such that no two regions of same size share an edge and such that each region contains only numbers equal to its size.
- (modified fillomino) Divide the grid into regions such that no two regions of same size share an edge and such that each region contains at least one number equal to its size and doesn't contain any higher number.
- (arrows) Number in a cell with an arrow is equal to the number of cells seen in the direction of the arrow until the first border with respect to the first region division (standard fillomino) plus the same for the second region division (modified fillomino).
Example (see the figure below):
-the green cells represent a region with respect to the first division (standard fillomino), it has size 3 and contains only number 3,
-the outlined region is the region with respect to the second division (modified fillomino), it has size 4, contains number 4 at least once and doesn't contain any number higher than 4 (repeats are allowed),
-the arrow sees one cell in the outlined region and two cells in the green region, therefore it must contain number 1+2=3,
-note also that regions with respect to both divisions are allowed to coincide.
penpa+ link (answer check on edges for the modified fillomino region division and numbers/digits)
Lösungscode: row 5 and then column 6, X when there is a region border with respect to the modified region division
Kommentare
am 27. April 2024, 05:12 Uhr von Agent
Interesting puzzle, a lot easier than it looks.
am 22. März 2024, 15:56 Uhr von wullemuus
Totally agree with Kafkapharnaum!
Thanks to your support it's finally solved. Not in a way I would be proud of (maybe you have made a video with your intended way??), but anyway. My favourite deduction was c11- really unexpected!
am 25. Februar 2024, 16:04 Uhr von mormagli
I struggled with this one perhaps more than I should have, but it was fun nonetheless :)
am 18. Juni 2023, 02:03 Uhr von Kafkapharnaum
Phew, I managed to do it, but that was some initiation to fillomino, let me tell you! XD I agree that the 'break-in' isn't too hard to figure out, but bringing all the moving parts together and closing the puzzle, that, that took me all I got -- no way this is any less than 5 stars in my book haha
Still, yet another mindblowing puzzle I managed to solve from you -- everytime I manage this, it feels very special. Thanks for being so amazing! :D
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Thank you so much!
am 12. Januar 2023, 23:47 Uhr von Piatato
Really charming puzzle, I had a great time throughout! :-)
am 8. Januar 2023, 08:24 Uhr von Prutsbeest
Great (and funny) puzzle! Even when I got the breakthrough I had to be very careful to consider all the possibilities.
Thank you filuta!
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Thank you!
am 15. Dezember 2022, 22:23 Uhr von JayForty
Amazing puzzle! Figuring out the break-in was a fun experience and from there it flowed really smoothly. Thank you! :)
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Thanks a lot!
am 14. Dezember 2022, 22:52 Uhr von filuta
changed difficulty to 4 stars
am 9. Dezember 2022, 23:16 Uhr von Vebby
Mad puzzle, amazing how it unravels!
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Thank you!
am 9. Dezember 2022, 10:29 Uhr von MagnusJosefsson
Cool and unique puzzle that definetely requires some thought before getting started. Very satisfying!
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Thanks a lot!
am 8. Dezember 2022, 17:05 Uhr von Samish
Very funny ruleset and implications, and great use of it!
Hard to estimate the difficulty of the break-in, but overall I have a feeling around 4.5/5. The hardest part was not making mistakes for me :D
am 8. Dezember 2022, 16:29 Uhr von polar
A delightfully clever puzzle; definitely had the quintessential filuta a-ha moment for me :) Nice to see a non-sudoku puzzle from you as well - hope there's more on the way!
