Qi Manifest (Yin Yang Sum Lines)
(Published on 17. January 2023, 16:00 by Xendari)
Qi Manifest
I have wanted to try my hand at a Yin Yang / Sudoku hybrid for quite a while now - in my opinion, the inherent rules around shading create a unique base for other constraints. This shouldn't be a very tricky puzzle, but the constraint interactions should present some new and interesting ideas. Your feedback is appreciated, and I hope you enjoy Qi Manifest :)Rules
- Sudoku: Normal sudoku rules apply.
- Yin Yang: Shade the grid using two colours, such that all instances of each colour are orthogonally connected, and no 2x2 area is completely one colour.
- Shading Sum Lines: Blue lines must have an equal sum N within each colour they pass through. If a blue line passes through a colour multiple times, each individual pass sums to N. All lines must cross colours at least once.
- Ratio: Two digits separated by a black dot have a ratio of 2. Not all dots are given.
Solve online:
CTC App (with solution check) | F-Puzzles
Solution code: Row 3
Comments
on 1. February 2023, 18:37 by Blobz
Beautiful interaction between the line constraints and Yin Yang logic.
on 30. January 2023, 15:31 by picoton
lovely! although i misunderstood the rules pretty badly
on 24. January 2023, 12:25 by mathpesto
What a smooth and satisfying solve til the very end :)
on 23. January 2023, 17:09 by Christounet
Beautiful and absolutely flowing from start to finish ! Thanks.
on 21. January 2023, 14:55 by DaniK
Wonderful puzzle! Very smooth and fun
on 20. January 2023, 07:40 by KNT
so smooth thanks!
on 20. January 2023, 05:42 by EuroRama95
Do every blue lines have to be in both shaded and unshaded regions? I understood so. I'm just trying to figure out if I got it wrong as I'm stuck with Box 1.
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Yes - it was hard to word it completely unambiguously, but every line must have at least one cell in each of shaded/unshaded. For example, if there was a two-cell line, that would always have to be the same digit but with different shading on each cell.
on 19. January 2023, 01:27 by Agent
Very smooth puzzle with some neat logic! Good to see more Yin Yang puzzles.
on 18. January 2023, 16:14 by Snookerfan
Lovely puzzle! I enjoyed that very much, thank you
on 18. January 2023, 15:32 by MagnusJosefsson
Great puzzle, very smooth and approachable!
on 18. January 2023, 10:40 by farodin64
An absolutely wonderful puzzle with an interesting rule set, thank you!
on 18. January 2023, 08:32 by thrutch
That was very enjoyable indeed!
on 17. January 2023, 20:14 by madhupt
This is an amazing puzzle with an interesting ruleset. Really enjoyed every bit of the solve. Thanks a lot for sharing.
on 17. January 2023, 17:10 by h5663454
Great puzzles!
Although there was a stuck point in the middle that I didn't figure out clearly, it took a few minutes, the whole solution process was quite pleasant, thank you!
on 17. January 2023, 16:32 by lerroyy
Very nice puzzle, thanks!
