LYLY (double arrows)
(Published on 5. October 2022, 09:09 by Samish)
It makes for a hard puzzle with unusual logic that was quite fun for me to explore, I hope you'll have as much fun finding it!
Let me know what you think, I'll be happy to read your comments!
Rules :
Normal sudoku rules apply.Double arrows : the sum of the digits along each line connecting two circles must be equal to the sum of the digits in these circles. Lines in "Y" shape connecting three circles behave as three different lines connecting each pair of circles (ie three superimposed double arrows).
Digits separated by a white dot must be consecutive.
Digits separated by a black dot must be in a 1:2 ratio.
Feel free to ask me for a hint in hidden comment or through the ctc discord (#9007)!
Here is an example of a "Y" shape made of three different double arrows:
Solution code: Row 1.
Comments
on 9. January 2024, 08:46 by wullemuus
Thank you very much for the solving path with this extremly beautiful logic deductions! It's so easy when you know how to do it :)). I was obviously far away from that r46 step but know I'm better prepared for further puzzles!
on 7. December 2023, 14:56 by wullemuus
Phew!!
Wonderful break-in because of the unusual, but very pleasing logic. Then it took a lifetime to figure out how the arrows work together. The clues are phenomenal and frustrating at the same time ... . Due to its capturing nature I never thought to give up ;) The ending was straightforward. Really great work. And I would be glad if you could give me a hint how the intended solving path would have been ... .
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Thanks a lot, congrats for your perseverance and your success at solving it! I shared a link to the solution guide in hidden comment :) I'm interested in knowing how close your solve was!
on 15. May 2023, 19:51 by Nordy
This puzzle is a stunning masterpiece. You truly have to learn EVERY lesson about Double Arrows to break in. I have never seen a puzzle that is so hard and yet somehow even MORE elegant. You could teach an entire college course on just this puzzle alone. Unforgettable!
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Oh thank you so much Nordy for this wonderful and heartwarming feedback. This is the best reward I could hope for setting puzzles. Many congrats again for your solve!!
on 6. January 2023, 02:45 by Piatato
Fantastic puzzle! Such a miraculous setup with such great and fascinating logic. I got quite stuck for a while right when I thought it was gonna crack open, but it turned out that I had just not taken the logic that I already had discovered all the way to where I needed. Thanks for this masterpiece!
on 10. October 2022, 23:05 by Aaronomys
Absolutely phenomenal puzzle! The opening was very intricate and elegant, and the solving afterwards was greatly satisfying. One of my absolute favorite puzzles, and certainly a masterpiece!
on 6. October 2022, 04:32 by tallcat
Although I did find at least part of the break-in, some of this logic is not intuitive to me at all so i found this quite brutal and not for the faint of heart. Nonetheless, it is an impressive construction and once past the hardest steps, it unfolds very neatly.
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Thanks, yeah it's assuredly a hard puzzle with an "abstract" break-in so not designed for everyone. The setting has been very intuitive (and thus pleasant) for me at least
on 6. October 2022, 00:31 by Samish
Thank you for this warm feedback filuta and Azireo, I'm delighted you enjoyed solving it so much ! =)
on 5. October 2022, 12:17 by Azireo
I really can't say what I prefer in this puzzle, the very ingenious break-in, or the miraculous ending!
I guess it's just amazing from start to finish...
on 5. October 2022, 09:35 by filuta
there is a remarkably lot to discover in this seemingly basic setup, truly amazing puzzle!
