Parity Snakes
(Published on 29. January 2024, 19:35 by Malrog)
Rules
Normal sudoku rules apply.Digits on a white dot must be consecutive (not all dots are given).
A digit in a grey square must be even.
Each cell containing a circle is the head of a parity snake, whose length is the digit in the circle. A parity snake is a non-branching one-cell-wide path of orthogonally connected cells of the same parity, which may not orthogonally touch itself or other cells of matching parity. A snake may not have two heads, and may be a single cell.
Solve on SudokuPad.
Solution code: The digits in row 3, left to right.
Comments
on 8. July 2024, 02:10 by talldrinkofwater
One of the most fun puzzles I’ve done in recent memory! Absolutely loved the smooth flow of logic once it got going.
Thanks for setting Malrog!
on 11. February 2024, 14:16 by Klausku
Some really cool and fresh logic in this puzzle. Loved it. Thanks
on 10. February 2024, 01:43 by henryng
This is maybe my favorite sudoku I've done
on 9. February 2024, 23:54 by MatthewDonovan
Really nice, thank you!! Very deserving of it's near 100% rating in my opinion, that was a very smooth solve.
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Thank you for taking the time to comment, and so kindly, and good job on the solve.
on 9. February 2024, 17:11 by Agent
Very smooth puzzle, thanks!
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You're welcome, thanks for solving :)
on 8. February 2024, 18:46 by Puzzle Weasel
That was really excellent, thank you. It has an incredibly satisfying flow.
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Thank you for solving, and for appreciating the flow, I am particularly pleased with that aspect of the puzzle. :)
on 8. February 2024, 05:28 by Nordy
Awesome puzzle from start to finish! The complete package
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That's very kind! Glad to have brought you such enjoyment. Thank you for solving.
on 7. February 2024, 19:57 by dumediat
Amazing execution of a really fun and interesting idea! I particularly enjoyed how you managed to squeeze so much logic out of the dots. Thank you very much!
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You're welcome and thank you too for solving. The dots did do wonders, and I imagine other constraints could also play well with parity snakes.
on 30. January 2024, 11:32 by Fool on Hill
Really enjoyed this - some interesting clue combinations and logic and it didn't just collapse into odd/even for the Sudoku part.
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Thank you, I'm glad it's interesting all the way to the end! I do feel like there's plenty more mileage in parity snakes, if anyone was so inclined to try.
on 29. January 2024, 21:57 by yttrio
Absolutely loved this puzzle! It was really cool how the Kropki dots were so useful in both snake logic and the final disambiguations.
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Thank you, I really appreciate the kind words. This variant combination was certainly fun to set with.
