Until Ten (10-lines, parity mirror)
(Published on 20. February 2023, 15:28 by the_cogito)
Rules:
- Normal sudoku rules apply.
- Lines are 10-lines, and must be split into non-overlapping groups of contiguous digits, each summing to 10.
- The odd/even parity of every cell is reflected across the indicated diagonal (eg r4c2 and r2c4 must have the same parity)
Solve on Penpa+
Solve on Sudokupad
Solution code: Row 1 followed by column 1 (18 digits, no spaces)
Comments
on 14. January 2024, 12:39 by mezkur7
These ten lines are so confusing. Man, I restarted the grid twice, still I had two close calls where I thought I lost it again.
Here's the link with the solution for the lazy guys:
https://shorturl.at/wEKQ0
on 1. June 2023, 04:53 by OldCaptainWZJ
Really interesting combination of rules. The logic used to get the first digit in Box 3 is fantastic.
on 18. March 2023, 21:37 by Avg Sudoku Enjoyer
Great puzzle! It's amazing how much work you can do with the parity mirror and how the parity interacts with the 10 lines
on 23. February 2023, 21:51 by Phistomefel
A very nice and enjoyable puzzle. Thank you, the_cogito! :)
on 23. February 2023, 04:03 by Agent
Cool puzzle, some really neat interactions!
on 22. February 2023, 16:46 by madhupt
Lovely puzzle. Beautiful bits of logic all the way to a smooth solve.
on 21. February 2023, 22:17 by peterkp
Rules clarification please :) What do you mean by 'parity'? (I ask because I've seen it used in different ways: high/low, odd/even, etc.)
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Good point! I mean odd/even parity :)
on 21. February 2023, 18:33 by henrypijames
Nice, but only 2⅓ difficulty for me.
on 20. February 2023, 20:31 by Perladel
Very smooth and enjoyable puzzle!
I think it's a 3 stars but you have to be VERY careful to consider all the possibilities
on 20. February 2023, 19:55 by Jesper
Fun and smooth puzzle, thanks!
on 20. February 2023, 16:13 by Raumplaner
Fantastic puzzle!
on 20. February 2023, 15:55 by zegres
Very nice use of Parity Mirror.
Excellent deductions throughout, very enjoyable!
on 20. February 2023, 15:30 by Myxo
Beautiful combination of constraints and a really smooth solve!
