Creepy Duality II
(Published on 12. October 2023, 15:24 by Kalorienreduziert)
- Now digits are allowed to repeat within clumps.
- Red outlined cells contain a digit which counts the amount of clumps within the up to 8 surrounding cells.
Normal Sudoku Rules partially apply: Digits don't repeat within a row, column or box.
Yin-Yang rules apply: All cells are either shaded or unshaded. All shaded cells have to be orthogonally connected. All unshaded cells have to be orthogonally connected, as well. No 2x2-region may be completely covered by shaded cells, or completely covered by unshaded cells.
Shaded cells are empty, that means there are no digits within them. The unshaded area consists of clumps of orthogonally connected cells. Digits within a clump sum up to 10 and can repeat within that clump (if the other rules allow it).
Cells with a blue square contain a digit which counts the amount of shaded cells within the up to 8 surrounding cells. Cells with a yellow circle contain a digit which counts the amount of clumps within the up to 8 surrounding cells. Red outlined cells contain a digit which counts the amount of unshaded cells within the up to 8 surrounding cells.
Within this puzzle there are only used 6 of the digits from 1-9, the solver has to determine which ones.
The puzzle is available online via CTC Sudokupad and F-Puzzles. Have fun solving!
Solution code: Row 2 from left to right (empty cells are represented as 0s)
Comments
on 13. October 2023, 10:55 by efnenu
I started this about seven times because I kept making mistakes with the circle rule, but I couldn't just let it go, it's too intriguing! Thank you for this puzzle!
on 13. October 2023, 06:33 by mnasti2
Nice and smooth!
on 13. October 2023, 04:46 by coreng
Fabulous puzzle. Took a bit to grasp the rules. But this was executed perfectly.
on 12. October 2023, 22:28 by Shuhua Milk
What exactly is a clump in this case?
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Kalorienreduziert: A clump is one of the areas where the digits add up to 10. The unshaded region is made up of those areas/clumps.
on 12. October 2023, 21:51 by Shuhua Milk
How do we know where a clump begins?
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Kalorienreduziert: That's part of the puzzle, you have to find out while solving.
on 12. October 2023, 21:25 by Kalorienreduziert
Corrected the explanation what the red squares do in the links.
on 12. October 2023, 21:18 by Kalorienreduziert
Corrected the explanation of what red squares do.
on 12. October 2023, 17:21 by kublai
It looks like yellow circles and red cages have the same definition. Is there a distinction I am missing?
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Kalorienreduziert: You are right, I corrected the description, sorry for the inconvenience.
