Assigned Seating
(Published on 30. November 2024, 20:11 by ChinStrap)
My first Yin Yang. Thanks to marty_sears for suggesting this tweak of combining yin yang and index lines while we were brainstorming, to gdc for encouraging me to simplify it and clarify wording, and to the testers.
Rules:
Normal sudoku rules apply.
Yin Yang: Color every cell in the grid light or dark. Cells of the same color are orthogonally connected. Every 2x2 contains both colors.
Index Lines: On an index line, the digit in the Nth cell along the line (starting from the diamond) indicates the position along the line where the digit N appears. Eg: 3214 would be a valid line with 3 as the diamond; the 1st digit, 3, indicates that the 3rd cell contains a 1, the 2nd cell a 2, and so on.
Index Line Coloring: All cells that reference their own position on a line (the digit N is in position N) should be dark. Cells that are not self referencing should be light. For example for the line 3214 with 3 as the diamond, the 2 and 4 would be dark and the 1 and 3 would be light.
Yin Yang White Kropki Dots: Digits separated by a white dot are consecutive and have the same color. Not all such dots are necessarily given.
All feedback (positive or critical) appreciated!
Solution code: The light cells in row 4, from left to right.
Comments
on 6. December 2024, 00:38 by ThePedallingPianist
What a beautifully elegant puzzle with some surprising and very satisfying ideas!
on 4. December 2024, 08:55 by fitzie
this is amazing puzzle, one of the tops of the year for me.
on 4. December 2024, 00:57 by sacklunch
Beautiful puzzle! Really fun solve, thanks for setting and sharing :)
on 3. December 2024, 23:18 by sujoyku
Lovely puzzle! Thank you, ChinStrap!
on 3. December 2024, 06:06 by virus_dave
What an enjoyable puzzle! I found this VERY fun to solve. Very clever intersection of the index line properties with the yin yang coloring. The break-in was especially fun :)
on 2. December 2024, 10:15 by marty_sears
I got there in the end! You were right, this puzzle was definitely up my street. Wonderful construction! I love the break-in and everything was fairly smooth after that, even though some bits took me a while to spot. Really gorgeous combination of two rulesets, I think we need to explore more yin-yang + index lines :D
Ps: great suggestion from gdc to simplify the ruleset
on 2. December 2024, 02:20 by I Love Sleeping
Neat idea to combine to rulesets I personally enjoy, and great execution. Thank you for this!
on 1. December 2024, 22:04 by Chaka
Gorgeous and clever combination, thanks!
on 1. December 2024, 20:22 by misha
Beautifully set! All of the constraints are integrated well.
on 1. December 2024, 18:24 by Blobz
Excellent setting! The interaction between YY constraints and index line coloring gave rise to some great deductions. Thanks for the puzzle.
on 1. December 2024, 15:58 by rictech
Haven’t tried index lines before, and this one was a great way to get started and figure out the logic, as I enjoy Yin-Yang puzzles a lot. Beautifully set! Well deserving of its current 100% rating!
on 1. December 2024, 03:02 by yttrio
Once I figured out some of the basic properties of the index lines, everything fell into place very nicely!
on 30. November 2024, 21:35 by NRB
Beautiful
on 30. November 2024, 21:19 by gdc
Loving index lines and yin yang and this puzzle made very nice use of both. Incredible how this is your first yin yang puzzle.
on 30. November 2024, 21:13 by askaksaksask
What setting! Really inspired to see the yin-yang interaction with the index lines (especially after Marty Sears's jewels/mines puzzle). You really brought the best of both variants out with this one. Bravo!
