Logic Masters Deutschland e.V.

Chaos Construction: X-Sums and Lines

(Eingestellt am 2. April 2022, 19:42 Uhr von KNT)

Normal Chaos Construction rules apply. Place one of each digit 1-9 in every row, column, and region, but the regions must be determined by the solver. That is, divide the grid into 9 orthogonally connected groups of 9 cells.

Clues outside the grid are X-Sums clues. They show the sum of the first N digits from the direction of the clue, where N is the first digit seen in that direction. The first N digits are also all in the same region, and the N+1th digit is in a different region.

If a digit N is in a circle, then there must be a line of exactly N digits that contain the circle all within the same region. The line may be vertical, horizontal, or both, and it is up to the solver to determine which.

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. An invalid configuration for R8C5 = 3 would be if R8C2, R8C3, R8C4, and R8C5 were in the same region, and that region excluded R7C5 because there would not be a line of exactly 3 cells that could pass through R8C5.

CTC app link

f-puzzles link

Lösungscode: Row 6 followed by Row 7

Zuletzt geändert am 2. April 2022, 22:02 Uhr

Gelöst von marcmees, Siebuhh, Jesper, twobear, peterkp, Steven R, polar, jkuo7, Elliott810, thefallenrat, Franjo, Christounet, rmn, askel083, abed hawila, SirSchmoopy, DVFrank, ___, kublai, Ore, farodin64, ... Sewerin, h5663454, ONeill, Euclid, soroush, codewizard, mattnburris, dogfarts, zuzanina, ibag, widjo, dennischen, Feadoor, laky, Saskia, mang0, SXH, Nick Smirnov, clover, glum_hippo, The Book Wyrm
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Kommentare

am 6. November 2022, 15:05 Uhr von 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.

am 25. Oktober 2022, 22:02 Uhr von StephenR
What a beauty, thanks. I nearly broke it, as I am wont to do, but managed to salvage it.

Zuletzt geändert am 9. Juli 2022, 04:58 Uhr

am 14. Juni 2022, 02:11 Uhr von 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.

am 3. April 2022, 18:36 Uhr von Christounet
Great puzzle with a nice use of an original border constraint ! Thanks for sharing.

am 3. April 2022, 11:22 Uhr von thefallenrat
Great puzzle!

am 3. April 2022, 10:32 Uhr von Elliott810
Beautiful construction with a strictly logical solving path from start to finish! Pretty impressive! Thanks:)

am 2. April 2022, 21:56 Uhr von twobear
Very nice and smooth puzzle. Thank you!

Zuletzt geändert am 2. April 2022, 21:42 Uhr

am 2. April 2022, 21:38 Uhr von 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.

Schwierigkeit:4
Bewertung:98 %
Gelöst:81 mal
Beobachtet:3 mal
ID:0009JR

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