X, Y, or Z
(Published on 6. October 2026, 21:05 by Vythic)
Digits are not repeated in rows, columns, or regions. Each cell contains a digit 1-9. Hidden regions cover the entire grid, each consisting of one or more orthogonally connected cells. The cells in each region form either a single digit or a set of consecutive digits in any order, without repeats. The sum of a region is either X, Y, or Z.
A digit on an arrow indicates the length of the uninterrupted run of cells just beyond the arrow, in the arrow's direction, that belong to the same region as the arrow cell.
Digits in a cage sum to the number in the top-left of the cage and cannot repeat. Within each cage, all digits of the same parity share the same region, and digits of opposite parities cannot share a region.
Digits separated by a black dot have a 2:1 ratio, and cannot share a region.
Solution code: Row 3, with a "+" between digits of different regions
Comments
on 8. October 2026, 02:43 by RedBulls75
Does "The cells in each region form either a single digit or a set of consecutive digits in any order, without repeats" mean? mean that all regions behave like renbans, and a region can consist of a single cell?
Vythic: Sounds like you got it. Essentially each region has an invisible Renban linking all the digits within it, with the possible exception of a one-digit region.
on 7. October 2026, 21:58 by vukkarak
I have got the solution but the regions are not unique.
Vythic: Did you double check all the forced region borders via various rules?
on 7. October 2026, 15:53 by wuc
Fresh rules. Awesome rewarding puzzle. To me 3*. Brilliant setting thx.
on 7. October 2026, 14:57 by Snookerfan
Great puzzle! I also really like arrow puzzles and this one I found quite approachable, so I gave it 2 stars for difficulty. Thanks!
on 7. October 2026, 05:15 by iEtsh
I like arrows puzzle. Keep it up!
Vythic: Tyty! And thank you to others as well, always appreciate the comments.
on 7. October 2026, 00:32 by Schorsch
Smooth, fun solve. Thank you!
on 6. October 2026, 23:08 by palletpusher
Very clever construction with some novel logic. Just over an hour for me. I enjoyed this a lot, Vythic; thank you for sharing!
