Logic Masters Deutschland e.V.

X-sum, but in Chaos

(Eingestellt am 21. September 2023, 06:00 Uhr von SparkNights)

This puzzle is inspired by Build Your Own Killer: Master Designer 2. Traditional X-sum clue is outside the grid, but this is a new trial of inserting X-sum clue into the grid and combining regional X-sum with Chaos-Construction.

Rules:

1. Divide the grid into 9 regions of 9 orthogonally connected cells each. Fill the grid with digits 1-9, such that every row, column and region contains each digit exactly once.

2. No 2x2 area is entirely in a single region.

3. The one-cell cages are X-sum cages, which must appear at the "dead end" of a region. (Only 1 of 4 orthogonal neighbors of the cage cell is in the same region.) The clue number at the top left corner is the sum of the first X orthogonally connected digits in the same region, where X is the digit in the one-cell cage. For cages without number attached, they are still X-sum cages, where the clue number is unknown.

4. The effective range of X-sums must be unique. That means, regions can only branch (T-Shape) out of or at the end of the effective range of X-sums.

5. One region can contain one or multiple X-sum cages.

Example: The X-sum value of the cage-25 is 5+6+1+4+9. The region branches at the 6th cell from the cage-25 so you cannot fill a digit more than 6 in that cell. Note that the restriction above also applies for non-number cages.

Play on CTC

Lösungscode: Row 6 (rightwards) with "-" as the border dividing different regions. (e.g. 12-34-567-89)

Zuletzt geändert -

Gelöst von marcmees, Tom-dz, Jesper, Sinuit, halakani, by81996672, jkuo7, henrypijames, dogfarts, Gryllulus, sanabas, jinkela114514, polar, madhupt, Lavender Gooms, samuel1997, soroush, Tacosian, peacherwu2, Hazem-77, MxTery, ridesdragons, Lithusei, tonald, wildbush7, meixia, ONeill, Martijn314, Yaki50, codewizard, MCMCHammer, Silverstep, h5663454, zakkai
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Kommentare

am 29. Dezember 2023, 17:21 Uhr von Silverstep
48 minutes, nice take on the old genre of Chaos Construction. I like how the corners work. The irregular part wasn't too hard and solve smoothly as well

am 24. September 2023, 22:11 Uhr von peacherwu2
Very beautiful idea, great setting!

am 24. September 2023, 06:31 Uhr von Tacosian
Wow! Excellent puzzle.

am 24. September 2023, 02:30 Uhr von samuel1997
Very stunning and smooth logic! Thank you.

am 23. September 2023, 21:25 Uhr von madhupt
It was really difficult for me as it took some getting around. However, it is very smooth. Irregular bit also took some time appreciating the ruleset with cages but really really wonderful!

am 22. September 2023, 19:42 Uhr von henrypijames
3⅔ difficulty for me.

Zuletzt geändert am 23. September 2023, 09:42 Uhr

am 21. September 2023, 17:25 Uhr von Sinuit
Beautiful puzzle! It took me a lot of time (almost two hours) but it was so satisfying to find the regions and study the dependencies around the grid.

The ruleset seems complicated first but gets quite natural after some time. I always wonder how somebody can set such a thing. Thanks!

Schwierigkeit:5
Bewertung:95 %
Gelöst:34 mal
Beobachtet:1 mal
ID:000F8J

Lösung abgeben

Lösungscode:

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