Magnetic Yin Yang
(Eingestellt am 13. April 2026, 23:47 Uhr von Killer Joe)
Hello.
Normal sudoku rules apply.
Yin–Yang shading:
Color each cell either green or red such that:
Each color forms a single orthogonally connected region.
No 2×2 block of cells is entirely one color.
A green clue sums red digits.
A red clue sums green digits.
(see example image for clarity.)
For each indicated direction:
Starting from the clue cell, consider a continuous straight-line stretch of cells in that direction.
This stretch must either:
end at a cell of the same color as the clue, or
reach the edge of the grid.
Only digits in cells of the opposite color are counted toward the sum.
Cells of the same color as the clue may appear within the stretch but are not counted.
The counted digits do not need to be adjacent.
At least two digits must be counted.
The sum of the counted digits equals the digit in the clue cell.
If a clue points in two directions, each direction independently sums to the digit in the clue.
Digits separated by a black dot are in a 2:1 ratio.
Have fun.
Lösungscode: Row 9, first 6 digits.
Kommentare
am 10. Mai 2026, 23:45 Uhr von anothermember
I still don't understand the rules of this even after VitP's explanation. What does "IN SEQUENCE" mean? Everything is good until I place the 3 and 1 in column 8, solution checker matches, and now nothing can go in r5c8 since it now must be the same colour from there to the bottom, what am I misunderstanding?
You can see the clue as an arrow circle and digits on the arrow are of opposite color. Arrows may be continuous but can also be interrupted by color that is not counting towards the total. Arrows must end on a non counting color or on the edge of the grid. I hope together with the visual example it will make sense now.
I only now noticed my example could have been better because the red 9 points to 423 which also adds to 9 but the summed digits are green 2 and 7.
Grts, Jonesy.
am 16. April 2026, 16:13 Uhr von japanoise_breakfast
Fun once I read VitP's comment about the rules!
am 14. April 2026, 19:11 Uhr von dinonugs
Thoroughly enjoyed. Surprisingly smooth after the break-in, which took me some time. Thanks!
am 14. April 2026, 16:13 Uhr von VitP
i think the rules need to reworked, mainly to include a statement of the form ...
"a red clue (say) adds AT LEAST TWO green cells IN SEQUENCE"
anyone who wants a hint, start in box 2
that would be sufficient, because it IMPLIES the clause " ... but not necessarily all", which could then be omitted.
the current wording STRONGLY SUGGESTS the incorrect interpretation that ALL cells of the relevant colour must be used.
am 13. April 2026, 23:55 Uhr von Killer Joe
It helps to know some secrets of Yin Yang.
