Chaos Construction: X-Sums and Lines
(Published on 2. April 2022, 19:42 by KNT)
A number outside the grid indicates the sum of the first N numbers from the direction of the clue, where N is the number closest to the clue. The first N numbers are also all in the same region, and the N+1th number is in a different region.
A number N in a colored cell indicates that there must be a contiguous line of exactly N cells that contain the colored cell all within the same region. The line may be horizontal, vertical, or possibly both.
SudokuPad
Solution code: Row 6 followed by Row 7
Comments
on 6. November 2022, 15:05 by PrimeWeasel
80% of the grid took me 24 minutes, the last 20% took me 30 minutes. Albeit fun, the last few steps felt considerably harder than the rest.
on 25. October 2022, 22:02 by StephenR
What a beauty, thanks. I nearly broke it, as I am wont to do, but managed to salvage it.
on 14. June 2022, 02:11 by Montinox
Question: can there ever be a line of size 1?
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Hi Montinox, I apologize for the late reply, but yes- there can be a line of size 1.
on 3. April 2022, 18:36 by Christounet
Great puzzle with a nice use of an original border constraint ! Thanks for sharing.
on 3. April 2022, 11:22 by thefallenrat
Great puzzle!
on 3. April 2022, 10:32 by Elliott810
Beautiful construction with a strictly logical solving path from start to finish! Pretty impressive! Thanks:)
on 2. April 2022, 21:56 by twobear
Very nice and smooth puzzle. Thank you!
on 2. April 2022, 21:38 by thefallenrat
Rules clarification please:
"Example, if R8C5 was a 3, then it would be valid for R8C3, R8C4, and R8C5 to be in a region that excludes R8C2 and R8C6"
Does that also excludes R7C5 and R9C5 as well?
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As long as, in this example, there is a continuous strip of exactly 3 cells in a line in one of the two orthogonal directions, the other direction is not bound to any restriction.
