The Lonely White Dot
(Published on 14. December 2022, 21:00 by XeonRisq)
- Normal sudoku rules apply.
- Region Sum Lines - Digits on a line must have an equal sum within each region is passes through.
- Global Entropy - Every 2x2 square of cells must contain a low digit (1,2,3), middle digit (4,5,6) and high digit (7,8,9).
- Kropki - Numbers that appear in the cells with a white dot between must be consecutive.
- Numbers that appear in the cells with a black dot between must have a ratio of 2:1.
- F-puzzles link - link to solve online
- CtC link - link to solve online
Solution code: Row 2 followed by Column 3
Comments
on 19. March 2024, 05:06 by wisty
Super cool!
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Thanks wisty, glad you enjoyed this one, the interactions between the constraints was fun to explore, I hope as much for me as you the solver.
on 2. November 2023, 11:11 by Bankey
Incredible use of grid geometry; maintains its challenge almost till the end. Thanks for this, @ XeonRisq :).
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You are very welcome. This one made me appreciate global entropy much more than I anticipated. And as always, thanks for the solve/feedback!
on 21. December 2022, 17:54 by Chilly
Very nice Xeon - enjoyed this one.
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Thanks to you and the boys in the Skunkworks lab for testing/exploration, this one did turn out quite nicely. Appreciate your continued support as well as the solve/comment.
on 17. December 2022, 19:54 by peacherwu2
Gorgeous interactions, especially the middle boxes.
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Thanks so much for the kind words and solve.
And I agree, the middle boxes are packed full of interesting logic.
on 16. December 2022, 13:34 by Snookerfan
Great puzzle! Very interesting and so much fun. Thank you!
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You're quite welcome. Appreciate the compliments and solve!
on 16. December 2022, 13:11 by Mad-Tyas
I'm always happy to see another setter coming up with a global entropy puzzle cause I love solving them.
This one was a nice challenge. Thank you very much XeonRisq! Enjoyed it a lot :)
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Thanks Mad-Tyas, thrilled you found the puzzle enjoyable. But buckle up, have a real mind bender coming up in the next couple of weeks, that pushes global entropy a bit further.
on 16. December 2022, 11:25 by Tilberg
Thanks for the puzzle! One very hard and long-winded deduction in the middle (which for the life of mine I couldn't find a way around), but otherwise very clear and elegant. I liked the surprising influence of the black Kropki dots the most.
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Thanks for the kind words and solve. The black dots are there to help get you going, but the white dot was the big surprise for me. There does seem to be some flexibility in the order of the path as I observed during some test solving versus my own; some responded with 3.5, others much higher for difficulty. Either way, glad you enjoyed it.
on 15. December 2022, 05:29 by Elliott810
Very nice puzzle! Thanks:)
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Thanks Elliott!! Always happy to see your solve and feedback. Glad you enjoyed the puzzle..
on 14. December 2022, 23:40 by vitaminz
I kept finding myself so close to understanding the intricacies of this puzzle but ultimately I had to resort to quite a bit of guessing and elimination.
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Thanks for giving the puzzle a spin. This was tested thoroughly in Skunkworks, as well as my own tests, so a solve path was confirmed. However, there are many different type of deductions to get to the finish line. Sorry you found yourself resorting to guesswork, but I admire your tenacity to finish, no matter what. Appreciate the solve and feedback!
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Ah, I hope you didn't take my comment disparagingly! I have no doubt that there is a logical path through. I just don't have the mind to find it. I could sense that there were some really intricate geometric dependencies; I just couldn't wrap my brain exactly around how they were operating.
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No offense taken, I try to consider all criticism as constructive. But you are right, there are some odd equivalencies in this one, but I found them fascinating.
