Dispersion
(Published on 25. February 2026, 02:20 by Xenonetix)
• Every digit from 1 to 9 appears once in every row, column, and region. 9 regions are to be determined. Every region is a set of 9 orthogonally connected cells.
• Arrows indicate X-Region Sum Lines, where the first seen digit in the respective row or column is the start and length of a straight Region Sum Line, which passes through at least 2 regions, where each line segment in each region sums to the same amount. Digits immediately after the end of a line are in separate regions.
• Arrows also indicate X-Regions, where the first seen digit in the respective row or column is the total number of regions seen in that direction. Regions never re-enter the line of sight of the arrow.
Here's an example to demonstrate the rules:
Hope you enjoy! 😄 - Any feedback or comments welcome!
Solution code: Row 7 (left to right) with dashes for region borders. (e.g. 123-4-56-789)
Comments
on 26. February 2026, 17:39 by henrypijames
Glad to see you keep working on the Kolot Challenge. :) This one is a very clean construction, and the ruleset doesn't feel convoluted in regards to the challenge's constraints. In fact I didn't realize this was related to the challenge until after having solved it (partly because it does have given digits).
on 26. February 2026, 11:04 by marcmees
incredible puzzle. A few times close to despair but never had to use bifurcation. The no re- enter rule solved a lot of problems encountered. Thanks for this beauty.
on 25. February 2026, 20:50 by Xenonetix
Glad you enjoyed it deltameth, and thanks for playing! Just for future solvers though, bifurcation is not required.
on 25. February 2026, 16:03 by deltameth
I am surprised to see 0 solves. This a wonderful puzzle with interesting logic bits. It deserves more attention. I got stuck at some point but a little of bifurcation helped. Fair 4*.
