Counting only even ... or even only odd?
(Published on 3. August 2023, 11:04 by sujoyku)
- Normal sudoku rules apply.
- Parity little killer: On a marked diagonal, the little killer clue indicates the value of the sum of all even or all odd digits on that diagonal. A little killer clue without given number has the value 0. If the even digits are counted, no odd digit contributes to the sum and vice versa. Whether the even or the odd digits sum up to the indicated value has to be determined by the solver. (If there is no conflict with other rules, digits may repeat on a diagonal.)
Example: A diagonal with the digits 1, 2, 3, and 4 can either have a parity little killer clue of 4 (counting odd) or 6 (counting even).
- Parity killer cages: Digits in a cage do not repeat. The killer clue indicates the sum of all even digits or of all odd digits which are contained in that cage. If the even digits are counted, no odd digit contributes to the sum and vice versa. Whether the even or the odd digits sum up to the indicated value has to be determined by the solver.
Example: A parity killer cage that contains the digits 6, 7, 8 and 9 either has the parity killer clue 14 (counting even) or 16 (counting odd).
Here you can solve the puzzle online:
Solution code: Row 7 followed by Column 7, from left to right resp. from top to bottom (18 digits in total)
Comments
on 30. September 2023, 21:33 by Lenivaya_Joppa
Dear sujoyku, this was a very nice and interesting puzzle, I really enjoyed solving it. Thank you very much! :)
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Thank you for your comment, Lenivaya_Joppa! Great to hear that you liked the puzzle and had a joyful solve.
Kind regards, sujoyku
on 21. August 2023, 21:15 by Snookerfan
Great puzzle! I played the next one in the series first and I liked that very much, so I had to give this one a go as well! Thank you
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Thank you for your comment, Snookerfan! Then you did the harder one before the easier I guess. I have already set one further puzzle with this rule set which I might upload later this week.
Kind regards, sujoyku
on 6. August 2023, 04:50 by Fisherman
A Masterpiece.
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Thank you for your comment, Fisherman! I am glad that you liked the puzzle.
Kind regards, sujoyku
on 4. August 2023, 22:31 by glum_hippo
That was fun and quite clever! 4 stars difficulty for me.
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Thank you for your comment, glum_hippo! I am glad you had a fun solve.
Kind regards, sujoyku
on 4. August 2023, 19:36 by BenTen
I loved this variation on killer clues and absolutely loved the solve. A very enjoyable and cleverly put-together puzzle. Take a bow sujoyku!
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Thank you for your kind comment, BenTen! I am glad that you like this variant and enjoyed the solve.
Kind regards, sujoyku
on 4. August 2023, 17:38 by Lorenz
Sehr schönes Rätsel und tolle Idee.
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Danke für deinen Kommentar, Lorenz! Es freut mich, dass Dir das Rätsel gefallen hat.
Viele Grüße, sujoyku
on 4. August 2023, 16:59 by Krokant
Schönes Rätsel. Davon kann es gerne noch mehr geben. :)
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Danke für den netten Kommentar, Krokant! Ich bin schon dabei, an einem neuen Rätsel dieses Typs zu feilen.
Viele Grüße, sujoyku
on 4. August 2023, 12:46 by nunc
I didn't really expect an answer to my question "How do you come up with that?". Thank you very much for the explanations! I'm just in awe. (Like my students sometimes say: "I would never come up with that myself!")
btw: Your alias reflects what your puzzles are. A pure joy.
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That is very kind of you, nunc. I love solving sudokus myself, so it is nice to hear that my puzzles give joy to other solvers.
on 4. August 2023, 06:14 by AdarshN
My brother (who is brand new to sudoku, this was his first full puzzle) and I solved this one together, and we had a blast doing it! Really lovely logic all around
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Thank you for your kind words, AdarshN! I am glad that you and your brother had fun with the puzzle.
Kind regards, sujoyku
on 4. August 2023, 04:13 by gdc
Very nice puzzle! I found the rules easily understandable, but find it great that you took the time to write up some examples for newer solvers. It was surprising to realize how strong some of the clues are. And those "impossible" totals create a nice atmosphere.
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Thank you for your comment, gdc! I am glad that you liked the puzzle. Concerning the rules, I tried to be extra-clear and I am glad that you found them comprehensible.
And you are absolutely right with your observation: Although, in general, the clues give you less or ambiguous information, some of them are more restricted than they were in the usual setting.
Kind regards, sujoyku
on 3. August 2023, 23:55 by nunc
Wow. I'm quite exhausted now. But it was a beautiful solve. How do you come up with that?
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Thank you for your comment, nunc! Maybe the idea came from the wish to build a killer sudoku with "nonsense" clues like a three-cell cage with total 1 or a diagonal with sum value 0. My starting point for the construction were the long diagonals. Then I set a clustered grid (with respect to odd and even) and tinkered about to construct a solution meeting the constraints. Figuring out which diagonals/cages could be useful clues took some more time. Today I noticed that I had put in some superfluous clues and deleted those before uploading. I do not know if your question was meant rhetoric but I hope this is kind of an answer. :)
Kind regards, sujoyku
on 3. August 2023, 22:51 by sacklunch
This is a fun puzzle! Very interesting rule set, but there's a logical path throughout, and it's very satisfying to unravel. Thanks for setting and sharing!
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Thank you for your kind words, sacklunch! I am glad that you enjoyed the puzzle. I just came up with the idea for this rule set some days ago (I do not claim to have invented it, considering parity in the context of killer sums seems like a natural idea). I thought it might be promising and managed to create this puzzle. Probably there is more potential in this framework than I have yet understood.
Kind regards, sujoyku
on 3. August 2023, 16:05 by Gab
It felt like getting 2 puzzles in 1, one odd and one even :)
Very nice puzzle!
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Thank you for your comment, Gab! I am glad that you liked the puzzle. You are right about the "two puzzles in one". As is sometimes with entropy or German whisper constraints, this puzzle splits a little into two puzzles with the separate groups. This is the first puzzle that I have set with the given rule set. Maybe I will achieve a puzzle with a little more interaction in the future. :)
Kind regards, sujoyku
on 3. August 2023, 11:31 by StefanSch
Schöne Rätselidee!
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Danke für deinen Kommentar, StefanSch! Es freut mich, dass Dir das Rätsel gefallen hat.
Viele Grüße, sujoyku
