Logic Masters Deutschland e.V.

Equality Cages 115: Chinese philosophy

(Published on 6. December 2023, 22:41 by gUBBLOR)

Puzzle 15 in my Equality Cage series. The previous and next puzzle in the series:
Equality Cages 114: Now in 3D!
Equality Cages 116: Fluister tijd (Whisper time)

All my series:
Equality Cages
EquaLite Cages
Shifter Lines
Shifter Dots



Rules:
Normal Sudoku rules apply. Place the digits 1 through 9 in each empty cell. Digits must not repeat within the same row, column, or box.

Equality cages: Cages must have an equal number of low (1,2,3,4) and high (6,7,8,9) digits AND an equal number of even (2,4,6,8) and odd (1,3,7,9) digits. Equality cages can never contain 5. Digits may not repeat in a cage.

Kropki dots: A black dot between cells indicates cell values with a 2:1 ratio. A white dot between cells indicates cells with consecutive values. Not all dots are shown.

XV: Adjacent cells connected with an X must sum to 10. Adjacent cells connected with a V must sum to 5. Not all X's or V's are shown.

Yin yang: Shade some cells such that all of the following criteria are met:
- All shaded cells form a single orthogonally connected region.
- All unshaded cells form a single orthogonally connected region.
- No 2x2 area is fully shaded or unshaded.

Red diamonds: The red diamonds are to be considered shaded, and displays how many unshaded cells there are in the (up to) 8 surrounding cells.
Green diamonds: The green diamonds are to be considered unshaded, and displays how many shaded cells there are in the (up to) 8 surrounding cells.
Uncolored diamonds: The uncolored diamonds are either shaded or unshaded. If they are unshaded they display how many shaded cells there are in the (up to) 8 surrounding cells, and if they are shaded they display how many unshaded cells there are in the (up to) 8 surrounding cells.
For example, if the green diamond in R2C8 was an 8, all the other cells in box 3 would have to be shaded.

Solve here:
Sudokupad

Video featuring the puzzle:
Sudoku Sleuth

Solution code: Row 8 left to right and the count of how many unshaded cells are in each box (in order of box number) - no spaces.

Last changed on on 9. March 2024, 18:39

Solved by isajo4002, Schwupel, nyxie, lmdemasi, LehanLehan, ElChiglia, seeppp, thrutch, akamchinjir, tweak42, benisjammin, vitaminz, Felis_Timon, zrbakhtiar, NotThatKindOfDoctor, Franjo, jointdog, JSmoove1099, ... BEHamren, Woody03130, seh_bas, Tug, Maroet, NEWS, Jodelbanane, Blaimi, PippoForte, atomvic, humaLautema, yusuf17, Uhu, duckling, Carolin, athenaria, Horoshamu, Matthew Humphrey, elloschmello
Full list

Comments

on 14. March 2024, 22:03 by emilyble21
I like this ruleset! I do wish the yin yang shading was a bit more integrated into the puzzle, as I was able to finish the digits with only about half the grid colored. However, the multiple solve-paths made this quite approachable despite the long ruleset. Well done!

on 9. March 2024, 18:39 by gUBBLOR
Added links

on 8. March 2024, 14:24 by gUBBLOR
Added video link to the puzzle being solved

on 16. December 2023, 14:18 by gUBBLOR
Added some links

on 7. December 2023, 18:04 by fopkovic
very nice ruleset. thank you for sharing

on 7. December 2023, 08:50 by Schwupel
Very interesting rule set.

Solution code seems to work now.

on 7. December 2023, 08:15 by gUBBLOR
There was a typo in the solution code, it should be fixed now. Sorry for any inconvenience, let me know if problem still exists.

Last changed on 6. December 2023, 22:47

on 6. December 2023, 22:41 by gUBBLOR
If you can't get the solution code to work, you've more than likely made a mistake in the shading in the bottom right part of the grid - doublecheck that the digits in the diamonds match its surrounding cells.

Difficulty:2
Rating:90 %
Solved:90 times
Observed:9 times
ID:000G32

Enter solution

Solution code:

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