Logic Masters Deutschland e.V.

Balancing Act (AnalyticalNinja+Palpot collaboration)

(Published on 29. October 2024, 15:17 by AnalyticalNinja )

A while back, Palpot and I participated in a setting challenge where we could compete against "Imposters" to prove we are indeed ourselves. Well Palpot handily defeated me and proved they were the better AnalyticalNinja, at least for that challenge. ;) Anyways, afterwards we communicated more and decided to collaborate on a puzzle together. This is the product of that effort and we are quite proud of it. Please enjoy! :)

Rules:

Normal sudoku rules apply. Place the digits 1-9 once in each row, column, and 3X3 box.

Yin and Yang: Shade some cells such that all shaded cells are orthogonally connected and all unshaded cells are orthogonally connected. No 2x2 area may be fully shaded or fully unshaded.

Along a line, any changes in shading divide that line into segments of fully shaded or fully unshaded cells. On each line, each such segment (shaded or unshaded) must have the same sum as all other segments.

Within the shaded areas, adjacent digits along the lines must differ by at least 5. Within unshaded areas, any string of 3 or fewer digits along the lines must be from a different set of (147), (258) and (369).

Solve online: SudokuPad

Solution code: The shaded digits in row 5 followed by the unshaded digits in column 5


Solved by Snookerfan, majestic spork, bansalsaab, LeaVulpina, han233ing, palpot, SPring, HertogHJ, tuturitu, Calesch, dogfarts, PippoForte, peacherwu2, Asphodel, sarabtx, Chaka, nighthawkranger, Clara123, ... annnz, novato, ranalloatl2, P12345, TrivialHomology, Atoro, madhupt, josebastian8, OGRussHood, Zorzi, EFlatMinor, konklone, QuiltyAsCharged, cegie, Uhu, pasta_al_tonno, kevinlimanta, darrenfwl
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Comments

on 22. December 2024, 05:36 by novato
Amazing! My quickest solve on a four star puzzle, so satisfying to solve!

on 9. November 2024, 02:21 by yttrio
It took me a bit of time to understand how the break-in had to work, but was very satisfying to work out. From there, things flowed incredibly well!

on 8. November 2024, 06:19 by waffles_the_dog
This was incredibly fun, and the logic was really nice. Thanks for setting it! :D

on 4. November 2024, 00:25 by dumediat
I had a great deal of fun testing this, thank you!

on 3. November 2024, 10:55 by Chaka
Just wow! Fantastic ruleset combination and great break in, thank you!

on 2. November 2024, 10:18 by peacherwu2
Elegant and smooth!

on 30. October 2024, 01:30 by LeaVulpina
That was *gorgeous*. Thank you! =D

on 29. October 2024, 17:32 by Snookerfan
Great puzzle! Very well set, thank you!

Difficulty:4
Rating:97 %
Solved:58 times
Observed:8 times
ID:000KHM

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